Abstract group data - 784.16

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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': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 588, 'aut_gen_orders': [84, 6, 98, 42, 6], 'aut_gens': [[1, 2, 16], [13, 338, 720], [1, 238, 304], [9, 490, 352], [5, 238, 80], [9, 314, 480]], 'aut_group': None, 'aut_hash': 3788914309686329066, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 32928, 'aut_permdeg': 200, 'aut_perms': [524949055552102098949234374423807062496323528421721874706419224847254608148147912205168521340928518142498968618973898185901551749510615054284493841117308591205362046054982146065510994799140330778348841944206990053380143639562330074796108927978487227405047238112782536028881085107001210114548456669931882291156027518142849015097258946923925499841435107470972024462317778701018, 2792084765313206378726671628477013314283991140157645083742866035938548969590056548277678860276409456777529924390788514700415746524328034992156552308617338779438997696090857567245853340124928202740913259485727155957085298966451576295154502271605880172116344729736543309271731435249541818058161303432635125268852696166186788356060176378939804635211624485223638938805757793505, 769691835459394775317154936908050904705414176245804033765641588465596509612111318118996190339067044175110814172224064760369182310610543297882251825203380590285634779141268972464844689957523329483052356921010361836118748902200125275979095942610552884605765477099894557437100232817122042439887500454940078523086759230921591149433534340283560163897927803559642078883191988886361, 535869240073776617477347419678522458231779852534447564446487817892521784147343492942434898887388935484489917901200550022502009609327534399440354180492279978171299684915870248999003445613173383447809000306497017942957630163743915456683603825292892545348798040142388924040481030359858838928821927006386116081065858272201857939806296823331907474651157229007522637075444540276974, 771607623897575390052711472173494308170169603778738393711838228384698603967521069686744684426753279616398892277941016357330179346552661531324467289238848620438090355588923005171716971089287340366361883787509998747211705780951990462075173491307407878108976180602271382726758217533179345861605289371660426261267654091883520235275812028848733215576166371241352631539231751310246], 'aut_phi_ratio': 98.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 2, 1, 1], [4, 4, 1, 1], [4, 196, 1, 1], [7, 2, 3, 1], [8, 98, 2, 1], [14, 2, 3, 1], [28, 4, 3, 1], [28, 4, 6, 1], [49, 2, 21, 1], [98, 2, 21, 1], [196, 4, 21, 1], [196, 4, 42, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{98}.C_{42}.C_2^3', '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': 294, 'autcentquo_group': None, 'autcentquo_hash': 8514878928498841808, 'autcentquo_nilpotent': False, 'autcentquo_order': 8232, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2\\times C_{49}:C_7:C_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [4, 2, 1], [4, 4, 1], [4, 196, 1], [7, 2, 3], [8, 98, 2], [14, 2, 3], [28, 4, 9], [49, 2, 21], [98, 2, 21], [196, 4, 63]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '392.7', 'commutator_count': 1, 'commutator_label': '196.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '7.1', '7.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 16, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 2, 1, 1], [4, 4, 1, 1], [4, 196, 1, 1], [7, 2, 3, 1], [8, 98, 2, 1], [14, 2, 3, 1], [28, 4, 3, 1], [28, 4, 6, 1], [49, 2, 21, 1], [98, 2, 21, 1], [196, 4, 21, 1], [196, 4, 42, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 392, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 7], 'faithful_reps': [[4, -1, 21]], 'familial': False, 'frattini_label': '28.2', 'frattini_quotient': '28.3', 'hash': 16, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 196, 'inner_gen_orders': [2, 4, 49], 'inner_gens': [[1, 14, 16], [5, 2, 768], [1, 34, 16]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 392, 'inner_split': True, 'inner_tex': 'C_{49}:D_4', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 84, 'irrQ_dim': 168, 'irrR_degree': 8, 'irrep_stats': [[1, 4], [2, 99], [4, 24]], 'label': '784.16', 'linC_count': 189, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 46, 'linQ_degree_count': 2, 'linQ_dim': 50, 'linQ_dim_count': 2, 'linR_count': 84, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C49:Q16', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 14, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 127, 'number_divisions': 14, 'number_normal_subgroups': 15, 'number_subgroup_autclasses': 27, 'number_subgroup_classes': 27, 'number_subgroups': 303, 'old_label': None, 'order': 784, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 1], [4, 202], [7, 6], [8, 196], [14, 6], [28, 36], [49, 42], [98, 42], [196, 252]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 42, 'outer_gen_orders': [2, 42], 'outer_gen_pows': [4, 4], 'outer_gens': [[13, 2, 16], [13, 10, 80]], 'outer_group': '84.15', 'outer_hash': 15, 'outer_nilpotent': True, 'outer_order': 84, 'outer_permdeg': 14, 'outer_perms': [39916800, 6267341673], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{42}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 65, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [4, 1], [6, 2], [12, 2], [42, 2], [84, 2]], 'representations': {'PC': {'code': 45000310761937222224485957023715, 'gens': [1, 2, 5], 'pres': [6, -2, -2, -2, -2, -7, -7, 48, 169, 31, 218, 50, 11530, 238, 12107]}, 'Perm': {'d': 65, 'gens': [4091139099897019875902214281710043955364393582064333794543423603754686516594450186232133, 2987351515484, 4404319792351, 5808408640626, 132929217828988217268837527830519614642121479779583929050336032624509670595172804837376000, 261864244757503409951346195384862892924363970997816942079819679476526407647837048012800000]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{49}:Q_{16}', 'transitive_degree': 784, '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: 140689869
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 16, 'group_order': 784, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 140689908
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 16, 'group_order': 784, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 8, 'size': 1}
  • id: 140689919
    {'aut_label': '4A', 'centralizer': '2.c1.a1', 'counter': 3, 'group_counter': 16, 'group_order': 784, 'label': '4A', 'order': 4, 'powers': [2, 3, 3], 'representative': 4, 'size': 2}
  • id: 140689930
    {'aut_label': '4B', 'centralizer': '4.b1.a1', 'counter': 4, 'group_counter': 16, 'group_order': 784, 'label': '4B', 'order': 4, 'powers': [2, 4, 4], 'representative': 1, 'size': 4}
  • id: 140689941
    {'aut_label': '4C', 'centralizer': '196.c1.a1', 'counter': 5, 'group_counter': 16, 'group_order': 784, 'label': '4C', 'order': 4, 'powers': [2, 5, 5], 'representative': 99, 'size': 196}
  • id: 140689952
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 16, 'group_order': 784, 'label': '7A1', 'order': 7, 'powers': [7, 8, 1], 'representative': 448, 'size': 2}
  • id: 140689963
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 16, 'group_order': 784, 'label': '7A2', 'order': 7, 'powers': [8, 6, 1], 'representative': 112, 'size': 2}
  • id: 140689974
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 8, 'group_counter': 16, 'group_order': 784, 'label': '7A3', 'order': 7, 'powers': [6, 7, 1], 'representative': 560, 'size': 2}
  • id: 140689985
    {'aut_label': '8A1', 'centralizer': '98.c1.a1', 'counter': 9, 'group_counter': 16, 'group_order': 784, 'label': '8A1', 'order': 8, 'powers': [3, 10, 9], 'representative': 774, 'size': 98}
  • id: 140689870
    {'aut_label': '8A1', 'centralizer': '98.c1.a1', 'counter': 10, 'group_counter': 16, 'group_order': 784, 'label': '8A3', 'order': 8, 'powers': [3, 9, 10], 'representative': 770, 'size': 98}
  • id: 140689881
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 16, 'group_order': 784, 'label': '14A1', 'order': 14, 'powers': [6, 12, 2], 'representative': 232, 'size': 2}
  • id: 140689892
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 16, 'group_order': 784, 'label': '14A3', 'order': 14, 'powers': [8, 13, 2], 'representative': 680, 'size': 2}
  • id: 140689901
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 16, 'group_order': 784, 'label': '14A5', 'order': 14, 'powers': [7, 11, 2], 'representative': 344, 'size': 2}
  • id: 140689902
    {'aut_label': '28A1', 'centralizer': '4.a1.a1', 'counter': 14, 'group_counter': 16, 'group_order': 784, 'label': '28A1', 'order': 28, 'powers': [11, 15, 3], 'representative': 124, 'size': 4}
  • id: 140689903
    {'aut_label': '28A1', 'centralizer': '4.a1.a1', 'counter': 15, 'group_counter': 16, 'group_order': 784, 'label': '28A3', 'order': 28, 'powers': [12, 16, 3], 'representative': 340, 'size': 4}
  • id: 140689904
    {'aut_label': '28A1', 'centralizer': '4.a1.a1', 'counter': 16, 'group_counter': 16, 'group_order': 784, 'label': '28A5', 'order': 28, 'powers': [13, 14, 3], 'representative': 572, 'size': 4}
  • id: 140689905
    {'aut_label': '28B1', 'centralizer': '4.b1.a1', 'counter': 17, 'group_counter': 16, 'group_order': 784, 'label': '28B1', 'order': 28, 'powers': [11, 19, 4], 'representative': 121, 'size': 4}
  • id: 140689906
    {'aut_label': '28B1', 'centralizer': '4.b1.a1', 'counter': 18, 'group_counter': 16, 'group_order': 784, 'label': '28B-1', 'order': 28, 'powers': [11, 20, 4], 'representative': 673, 'size': 4}
  • id: 140689907
    {'aut_label': '28B1', 'centralizer': '4.b1.a1', 'counter': 19, 'group_counter': 16, 'group_order': 784, 'label': '28B3', 'order': 28, 'powers': [12, 22, 4], 'representative': 337, 'size': 4}
  • id: 140689909
    {'aut_label': '28B1', 'centralizer': '4.b1.a1', 'counter': 20, 'group_counter': 16, 'group_order': 784, 'label': '28B-3', 'order': 28, 'powers': [12, 21, 4], 'representative': 457, 'size': 4}
  • id: 140689910
    {'aut_label': '28B1', 'centralizer': '4.b1.a1', 'counter': 21, 'group_counter': 16, 'group_order': 784, 'label': '28B5', 'order': 28, 'powers': [13, 17, 4], 'representative': 569, 'size': 4}
  • id: 140689911
    {'aut_label': '28B1', 'centralizer': '4.b1.a1', 'counter': 22, 'group_counter': 16, 'group_order': 784, 'label': '28B-5', 'order': 28, 'powers': [13, 18, 4], 'representative': 225, 'size': 4}
  • id: 140689912
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 16, 'group_order': 784, 'label': '49A1', 'order': 49, 'powers': [24, 25, 6], 'representative': 64, 'size': 2}
  • id: 140689913
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 16, 'group_order': 784, 'label': '49A2', 'order': 49, 'powers': [26, 28, 7], 'representative': 128, 'size': 2}
  • id: 140689914
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 16, 'group_order': 784, 'label': '49A3', 'order': 49, 'powers': [28, 30, 8], 'representative': 192, 'size': 2}
  • id: 140689915
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 16, 'group_order': 784, 'label': '49A4', 'order': 49, 'powers': [29, 33, 8], 'representative': 256, 'size': 2}
  • id: 140689916
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 16, 'group_order': 784, 'label': '49A5', 'order': 49, 'powers': [31, 35, 7], 'representative': 320, 'size': 2}
  • id: 140689917
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 16, 'group_order': 784, 'label': '49A6', 'order': 49, 'powers': [33, 38, 6], 'representative': 384, 'size': 2}
  • id: 140689918
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 16, 'group_order': 784, 'label': '49A8', 'order': 49, 'powers': [36, 43, 6], 'representative': 512, 'size': 2}
  • id: 140689920
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 16, 'group_order': 784, 'label': '49A9', 'order': 49, 'powers': [38, 41, 7], 'representative': 576, 'size': 2}
  • id: 140689921
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 16, 'group_order': 784, 'label': '49A10', 'order': 49, 'powers': [40, 39, 8], 'representative': 640, 'size': 2}
  • id: 140689922
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 16, 'group_order': 784, 'label': '49A11', 'order': 49, 'powers': [41, 36, 8], 'representative': 704, 'size': 2}
  • id: 140689923
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 16, 'group_order': 784, 'label': '49A12', 'order': 49, 'powers': [43, 34, 7], 'representative': 768, 'size': 2}
  • id: 140689924
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 16, 'group_order': 784, 'label': '49A13', 'order': 49, 'powers': [42, 31, 6], 'representative': 48, 'size': 2}
  • id: 140689925
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 16, 'group_order': 784, 'label': '49A15', 'order': 49, 'powers': [39, 26, 6], 'representative': 176, 'size': 2}
  • id: 140689926
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 16, 'group_order': 784, 'label': '49A16', 'order': 49, 'powers': [37, 23, 7], 'representative': 240, 'size': 2}
  • id: 140689927
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 16, 'group_order': 784, 'label': '49A17', 'order': 49, 'powers': [35, 24, 8], 'representative': 304, 'size': 2}
  • id: 140689928
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 16, 'group_order': 784, 'label': '49A18', 'order': 49, 'powers': [34, 27, 8], 'representative': 368, 'size': 2}
  • id: 140689929
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 16, 'group_order': 784, 'label': '49A19', 'order': 49, 'powers': [32, 29, 7], 'representative': 432, 'size': 2}
  • id: 140689931
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 16, 'group_order': 784, 'label': '49A20', 'order': 49, 'powers': [30, 32, 6], 'representative': 496, 'size': 2}
  • id: 140689932
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 16, 'group_order': 784, 'label': '49A22', 'order': 49, 'powers': [27, 37, 6], 'representative': 624, 'size': 2}
  • id: 140689933
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 16, 'group_order': 784, 'label': '49A23', 'order': 49, 'powers': [25, 40, 7], 'representative': 688, 'size': 2}
  • id: 140689934
    {'aut_label': '49A1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 16, 'group_order': 784, 'label': '49A24', 'order': 49, 'powers': [23, 42, 8], 'representative': 752, 'size': 2}
  • id: 140689935
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 16, 'group_order': 784, 'label': '98A1', 'order': 98, 'powers': [23, 45, 11], 'representative': 40, 'size': 2}
  • id: 140689936
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 16, 'group_order': 784, 'label': '98A3', 'order': 98, 'powers': [25, 47, 12], 'representative': 104, 'size': 2}
  • id: 140689937
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 16, 'group_order': 784, 'label': '98A5', 'order': 98, 'powers': [27, 50, 13], 'representative': 168, 'size': 2}
  • id: 140689938
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 16, 'group_order': 784, 'label': '98A9', 'order': 98, 'powers': [30, 55, 13], 'representative': 296, 'size': 2}
  • id: 140689939
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 16, 'group_order': 784, 'label': '98A11', 'order': 98, 'powers': [32, 58, 12], 'representative': 360, 'size': 2}
  • id: 140689940
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 16, 'group_order': 784, 'label': '98A13', 'order': 98, 'powers': [34, 60, 11], 'representative': 424, 'size': 2}
  • id: 140689942
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 16, 'group_order': 784, 'label': '98A15', 'order': 98, 'powers': [35, 63, 11], 'representative': 488, 'size': 2}
  • id: 140689943
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 16, 'group_order': 784, 'label': '98A17', 'order': 98, 'powers': [37, 64, 12], 'representative': 552, 'size': 2}
  • id: 140689944
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 16, 'group_order': 784, 'label': '98A19', 'order': 98, 'powers': [39, 61, 13], 'representative': 616, 'size': 2}
  • id: 140689945
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 16, 'group_order': 784, 'label': '98A23', 'order': 98, 'powers': [42, 56, 13], 'representative': 744, 'size': 2}
  • id: 140689946
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 16, 'group_order': 784, 'label': '98A25', 'order': 98, 'powers': [43, 53, 12], 'representative': 24, 'size': 2}
  • id: 140689947
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 16, 'group_order': 784, 'label': '98A27', 'order': 98, 'powers': [41, 51, 11], 'representative': 88, 'size': 2}
  • id: 140689948
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 16, 'group_order': 784, 'label': '98A29', 'order': 98, 'powers': [40, 48, 11], 'representative': 152, 'size': 2}
  • id: 140689949
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 16, 'group_order': 784, 'label': '98A31', 'order': 98, 'powers': [38, 46, 12], 'representative': 216, 'size': 2}
  • id: 140689950
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 16, 'group_order': 784, 'label': '98A33', 'order': 98, 'powers': [36, 44, 13], 'representative': 280, 'size': 2}
  • id: 140689951
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 16, 'group_order': 784, 'label': '98A37', 'order': 98, 'powers': [33, 49, 13], 'representative': 408, 'size': 2}
  • id: 140689953
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 16, 'group_order': 784, 'label': '98A39', 'order': 98, 'powers': [31, 52, 12], 'representative': 472, 'size': 2}
  • id: 140689954
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 16, 'group_order': 784, 'label': '98A41', 'order': 98, 'powers': [29, 54, 11], 'representative': 536, 'size': 2}
  • id: 140689955
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 16, 'group_order': 784, 'label': '98A43', 'order': 98, 'powers': [28, 57, 11], 'representative': 600, 'size': 2}
  • id: 140689956
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 16, 'group_order': 784, 'label': '98A45', 'order': 98, 'powers': [26, 59, 12], 'representative': 664, 'size': 2}
  • id: 140689957
    {'aut_label': '98A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 16, 'group_order': 784, 'label': '98A47', 'order': 98, 'powers': [24, 62, 13], 'representative': 728, 'size': 2}
  • id: 140689958
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 65, 'group_counter': 16, 'group_order': 784, 'label': '196A1', 'order': 196, 'powers': [44, 66, 14], 'representative': 20, 'size': 4}
  • id: 140689959
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 66, 'group_counter': 16, 'group_order': 784, 'label': '196A3', 'order': 196, 'powers': [45, 68, 15], 'representative': 52, 'size': 4}
  • id: 140689960
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 67, 'group_counter': 16, 'group_order': 784, 'label': '196A5', 'order': 196, 'powers': [46, 71, 16], 'representative': 84, 'size': 4}
  • id: 140689961
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 68, 'group_counter': 16, 'group_order': 784, 'label': '196A9', 'order': 196, 'powers': [47, 76, 16], 'representative': 148, 'size': 4}
  • id: 140689962
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 69, 'group_counter': 16, 'group_order': 784, 'label': '196A11', 'order': 196, 'powers': [48, 79, 15], 'representative': 180, 'size': 4}
  • id: 140689964
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 70, 'group_counter': 16, 'group_order': 784, 'label': '196A13', 'order': 196, 'powers': [49, 81, 14], 'representative': 580, 'size': 4}
  • id: 140689965
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 71, 'group_counter': 16, 'group_order': 784, 'label': '196A15', 'order': 196, 'powers': [50, 84, 14], 'representative': 244, 'size': 4}
  • id: 140689966
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 72, 'group_counter': 16, 'group_order': 784, 'label': '196A17', 'order': 196, 'powers': [51, 85, 15], 'representative': 276, 'size': 4}
  • id: 140689967
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 73, 'group_counter': 16, 'group_order': 784, 'label': '196A19', 'order': 196, 'powers': [52, 82, 16], 'representative': 484, 'size': 4}
  • id: 140689968
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 74, 'group_counter': 16, 'group_order': 784, 'label': '196A23', 'order': 196, 'powers': [53, 77, 16], 'representative': 372, 'size': 4}
  • id: 140689969
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 75, 'group_counter': 16, 'group_order': 784, 'label': '196A25', 'order': 196, 'powers': [54, 74, 15], 'representative': 388, 'size': 4}
  • id: 140689970
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 76, 'group_counter': 16, 'group_order': 784, 'label': '196A27', 'order': 196, 'powers': [55, 72, 14], 'representative': 356, 'size': 4}
  • id: 140689971
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 77, 'group_counter': 16, 'group_order': 784, 'label': '196A29', 'order': 196, 'powers': [56, 69, 14], 'representative': 468, 'size': 4}
  • id: 140689972
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 78, 'group_counter': 16, 'group_order': 784, 'label': '196A31', 'order': 196, 'powers': [57, 67, 15], 'representative': 292, 'size': 4}
  • id: 140689973
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 79, 'group_counter': 16, 'group_order': 784, 'label': '196A33', 'order': 196, 'powers': [58, 65, 16], 'representative': 260, 'size': 4}
  • id: 140689975
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 80, 'group_counter': 16, 'group_order': 784, 'label': '196A37', 'order': 196, 'powers': [59, 70, 16], 'representative': 196, 'size': 4}
  • id: 140689976
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 81, 'group_counter': 16, 'group_order': 784, 'label': '196A39', 'order': 196, 'powers': [60, 73, 15], 'representative': 164, 'size': 4}
  • id: 140689977
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 82, 'group_counter': 16, 'group_order': 784, 'label': '196A41', 'order': 196, 'powers': [61, 75, 14], 'representative': 132, 'size': 4}
  • id: 140689978
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 83, 'group_counter': 16, 'group_order': 784, 'label': '196A43', 'order': 196, 'powers': [62, 78, 14], 'representative': 100, 'size': 4}
  • id: 140689979
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 84, 'group_counter': 16, 'group_order': 784, 'label': '196A45', 'order': 196, 'powers': [63, 80, 15], 'representative': 68, 'size': 4}
  • id: 140689980
    {'aut_label': '196A1', 'centralizer': '4.a1.a1', 'counter': 85, 'group_counter': 16, 'group_order': 784, 'label': '196A47', 'order': 196, 'powers': [64, 83, 16], 'representative': 36, 'size': 4}
  • id: 140689981
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 86, 'group_counter': 16, 'group_order': 784, 'label': '196B1', 'order': 196, 'powers': [44, 88, 17], 'representative': 17, 'size': 4}
  • id: 140689982
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 87, 'group_counter': 16, 'group_order': 784, 'label': '196B-1', 'order': 196, 'powers': [44, 89, 18], 'representative': 21, 'size': 4}
  • id: 140689983
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 88, 'group_counter': 16, 'group_order': 784, 'label': '196B3', 'order': 196, 'powers': [45, 92, 19], 'representative': 49, 'size': 4}
  • id: 140689984
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 89, 'group_counter': 16, 'group_order': 784, 'label': '196B-3', 'order': 196, 'powers': [45, 93, 20], 'representative': 53, 'size': 4}
  • id: 140689986
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 90, 'group_counter': 16, 'group_order': 784, 'label': '196B5', 'order': 196, 'powers': [46, 98, 21], 'representative': 81, 'size': 4}
  • id: 140689987
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 91, 'group_counter': 16, 'group_order': 784, 'label': '196B-5', 'order': 196, 'powers': [46, 99, 22], 'representative': 85, 'size': 4}
  • id: 140689988
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 92, 'group_counter': 16, 'group_order': 784, 'label': '196B9', 'order': 196, 'powers': [47, 108, 22], 'representative': 145, 'size': 4}
  • id: 140689989
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 93, 'group_counter': 16, 'group_order': 784, 'label': '196B-9', 'order': 196, 'powers': [47, 109, 21], 'representative': 641, 'size': 4}
  • id: 140689990
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 94, 'group_counter': 16, 'group_order': 784, 'label': '196B11', 'order': 196, 'powers': [48, 114, 20], 'representative': 177, 'size': 4}
  • id: 140689991
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 95, 'group_counter': 16, 'group_order': 784, 'label': '196B-11', 'order': 196, 'powers': [48, 115, 19], 'representative': 609, 'size': 4}
  • id: 140689992
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 96, 'group_counter': 16, 'group_order': 784, 'label': '196B13', 'order': 196, 'powers': [49, 118, 18], 'representative': 209, 'size': 4}
  • id: 140689993
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 97, 'group_counter': 16, 'group_order': 784, 'label': '196B-13', 'order': 196, 'powers': [49, 119, 17], 'representative': 577, 'size': 4}
  • id: 140689994
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 98, 'group_counter': 16, 'group_order': 784, 'label': '196B15', 'order': 196, 'powers': [50, 124, 17], 'representative': 241, 'size': 4}
  • id: 140689995
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 99, 'group_counter': 16, 'group_order': 784, 'label': '196B-15', 'order': 196, 'powers': [50, 125, 18], 'representative': 545, 'size': 4}
  • id: 140689871
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 100, 'group_counter': 16, 'group_order': 784, 'label': '196B17', 'order': 196, 'powers': [51, 127, 19], 'representative': 273, 'size': 4}
  • id: 140689872
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 101, 'group_counter': 16, 'group_order': 784, 'label': '196B-17', 'order': 196, 'powers': [51, 126, 20], 'representative': 513, 'size': 4}
  • id: 140689873
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 102, 'group_counter': 16, 'group_order': 784, 'label': '196B19', 'order': 196, 'powers': [52, 121, 21], 'representative': 305, 'size': 4}
  • id: 140689874
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 103, 'group_counter': 16, 'group_order': 784, 'label': '196B-19', 'order': 196, 'powers': [52, 120, 22], 'representative': 481, 'size': 4}
  • id: 140689875
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 104, 'group_counter': 16, 'group_order': 784, 'label': '196B23', 'order': 196, 'powers': [53, 111, 22], 'representative': 369, 'size': 4}
  • id: 140689876
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 105, 'group_counter': 16, 'group_order': 784, 'label': '196B-23', 'order': 196, 'powers': [53, 110, 21], 'representative': 417, 'size': 4}
  • id: 140689877
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 106, 'group_counter': 16, 'group_order': 784, 'label': '196B25', 'order': 196, 'powers': [54, 105, 20], 'representative': 401, 'size': 4}
  • id: 140689878
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 107, 'group_counter': 16, 'group_order': 784, 'label': '196B-25', 'order': 196, 'powers': [54, 104, 19], 'representative': 385, 'size': 4}
  • id: 140689879
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 108, 'group_counter': 16, 'group_order': 784, 'label': '196B27', 'order': 196, 'powers': [55, 101, 18], 'representative': 433, 'size': 4}
  • id: 140689880
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 109, 'group_counter': 16, 'group_order': 784, 'label': '196B-27', 'order': 196, 'powers': [55, 100, 17], 'representative': 353, 'size': 4}
  • id: 140689882
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 110, 'group_counter': 16, 'group_order': 784, 'label': '196B29', 'order': 196, 'powers': [56, 95, 17], 'representative': 465, 'size': 4}
  • id: 140689883
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 111, 'group_counter': 16, 'group_order': 784, 'label': '196B-29', 'order': 196, 'powers': [56, 94, 18], 'representative': 321, 'size': 4}
  • id: 140689884
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 112, 'group_counter': 16, 'group_order': 784, 'label': '196B31', 'order': 196, 'powers': [57, 91, 19], 'representative': 497, 'size': 4}
  • id: 140689885
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 113, 'group_counter': 16, 'group_order': 784, 'label': '196B-31', 'order': 196, 'powers': [57, 90, 20], 'representative': 289, 'size': 4}
  • id: 140689886
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 114, 'group_counter': 16, 'group_order': 784, 'label': '196B33', 'order': 196, 'powers': [58, 86, 21], 'representative': 529, 'size': 4}
  • id: 140689887
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 115, 'group_counter': 16, 'group_order': 784, 'label': '196B-33', 'order': 196, 'powers': [58, 87, 22], 'representative': 257, 'size': 4}
  • id: 140689888
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 116, 'group_counter': 16, 'group_order': 784, 'label': '196B37', 'order': 196, 'powers': [59, 96, 22], 'representative': 593, 'size': 4}
  • id: 140689889
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 117, 'group_counter': 16, 'group_order': 784, 'label': '196B-37', 'order': 196, 'powers': [59, 97, 21], 'representative': 193, 'size': 4}
  • id: 140689890
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 118, 'group_counter': 16, 'group_order': 784, 'label': '196B39', 'order': 196, 'powers': [60, 102, 20], 'representative': 625, 'size': 4}
  • id: 140689891
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 119, 'group_counter': 16, 'group_order': 784, 'label': '196B-39', 'order': 196, 'powers': [60, 103, 19], 'representative': 161, 'size': 4}
  • id: 140689893
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 120, 'group_counter': 16, 'group_order': 784, 'label': '196B41', 'order': 196, 'powers': [61, 106, 18], 'representative': 657, 'size': 4}
  • id: 140689894
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 121, 'group_counter': 16, 'group_order': 784, 'label': '196B-41', 'order': 196, 'powers': [61, 107, 17], 'representative': 129, 'size': 4}
  • id: 140689895
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 122, 'group_counter': 16, 'group_order': 784, 'label': '196B43', 'order': 196, 'powers': [62, 112, 17], 'representative': 689, 'size': 4}
  • id: 140689896
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 123, 'group_counter': 16, 'group_order': 784, 'label': '196B-43', 'order': 196, 'powers': [62, 113, 18], 'representative': 97, 'size': 4}
  • id: 140689897
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 124, 'group_counter': 16, 'group_order': 784, 'label': '196B45', 'order': 196, 'powers': [63, 116, 19], 'representative': 69, 'size': 4}
  • id: 140689898
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 125, 'group_counter': 16, 'group_order': 784, 'label': '196B-45', 'order': 196, 'powers': [63, 117, 20], 'representative': 65, 'size': 4}
  • id: 140689899
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 126, 'group_counter': 16, 'group_order': 784, 'label': '196B47', 'order': 196, 'powers': [64, 122, 21], 'representative': 37, 'size': 4}
  • id: 140689900
    {'aut_label': '196B1', 'centralizer': '4.b1.a1', 'counter': 127, 'group_counter': 16, 'group_order': 784, 'label': '196B-47', 'order': 196, 'powers': [64, 123, 22], 'representative': 33, 'size': 4}
• 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: 12951659
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12951665
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 12951666
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 12951667
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12951668
    {'cdim': 2, 'counter': 5, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
  • id: 12951669
    {'cdim': 2, 'counter': 6, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.2b', 'multiplicity': 2, 'nt': [16, 14], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 4, 4, 4, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -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], 'schur_index': 2}
  • id: 12951670
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.2c', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 12951671
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.2d', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 0, 6, 6, 6, 0, 0, 6, 6, 6, -6, -6, 6, 6, 6, -6, -6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 12951672
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.2e', 'multiplicity': 6, 'nt': [28, 6], 'qdim': 12, 'qvalues': [12, 12, -12, 0, 0, 12, 12, 12, 0, 0, 12, 12, 12, 0, 0, -12, -12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
  • id: 12951663
    {'cdim': 4, 'counter': 13, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.4a', 'multiplicity': 3, 'nt': [112, 0], 'qdim': 12, 'qvalues': [12, -12, 0, 0, 0, 12, 12, 12, 0, 0, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 12951660
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.2f', 'multiplicity': 21, 'nt': [49, 0], 'qdim': 42, 'qvalues': [42, 42, 42, 42, 0, -7, -7, -7, 0, 0, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -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], 'schur_index': 1}
  • id: 12951661
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.2g', 'multiplicity': 21, 'nt': [98, 0], 'qdim': 42, 'qvalues': [42, 42, 42, -42, 0, -7, -7, -7, 0, 0, -7, -7, -7, 7, 7, -7, -7, -7, 7, 7, 7, 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], 'schur_index': 1}
  • id: 12951662
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.2h', 'multiplicity': 42, 'nt': [196, 0], 'qdim': 84, 'qvalues': [84, 84, -84, 0, 0, -14, -14, -14, 0, 0, -14, -14, -14, 0, 0, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12951664
    {'cdim': 4, 'counter': 14, 'faithful': True, 'group': '784.16', 'group_order': 784, 'image': None, 'label': '784.16.4b', 'multiplicity': 21, 'nt': [784, 0], 'qdim': 84, 'qvalues': [84, -84, 0, 0, 0, -14, -14, -14, 0, 0, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 30246243
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 784, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 784, 'label': '784.16.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 30246282
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 784, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 392, 'label': '784.16.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 30246293
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  • id: 30246304
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  • id: 30246315
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 196, 'counter': 5, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 98, 'label': '784.16.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 30246326
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 98, 'counter': 6, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '16.9', 'image_order': 16, 'indicator': -1, 'kernel': '16.a1.a1', 'kernel_order': 49, 'label': '784.16.2b1', 'nt': [16, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30246337
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 98, 'counter': 7, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '16.9', 'image_order': 16, 'indicator': -1, 'kernel': '16.a1.a1', 'kernel_order': 49, 'label': '784.16.2b2', 'nt': [16, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30246348
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  • id: 30246359
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  • id: 30246244
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 56, 'counter': 10, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 56, 'label': '784.16.2c3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 30246255
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 56, 'counter': 11, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 28, 'label': '784.16.2d1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 30246266
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 56, 'counter': 12, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 28, 'label': '784.16.2d2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 30246275
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  • id: 30246276
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 28, 'counter': 14, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 14, 'label': '784.16.2e1', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 30246277
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 28, 'counter': 15, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 14, 'label': '784.16.2e2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 30246278
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 28, 'counter': 16, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 14, 'label': '784.16.2e3', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 30246279
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 28, 'counter': 17, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 14, 'label': '784.16.2e4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 30246280
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 28, 'counter': 18, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 14, 'label': '784.16.2e5', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 30246281
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 28, 'counter': 19, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 14, 'label': '784.16.2e6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 30246283
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 20, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '98.1', 'image_order': 98, 'indicator': 1, 'kernel': '98.a1.a1', 'kernel_order': 8, 'label': '784.16.2f1', 'nt': [49, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 22], [1, -22]], [[1, 17], [1, -17]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 24], [1, -24]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 22], [1, -22]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 22], [1, -22]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 23], [1, -23]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 1], [1, -1]]]}
  • id: 30246292
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  • id: 30246294
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  • id: 30246295
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  • id: 30246296
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  • id: 30246297
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  • id: 30246298
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 34, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '98.1', 'image_order': 98, 'indicator': 1, 'kernel': '98.a1.a1', 'kernel_order': 8, 'label': '784.16.2f15', 'nt': [49, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 22], [1, -22]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 11], [1, -11]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 23], [1, -23]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 22], [1, -22]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 5], [1, -5]]]}
  • id: 30246299
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 35, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '98.1', 'image_order': 98, 'indicator': 1, 'kernel': '98.a1.a1', 'kernel_order': 8, 'label': '784.16.2f16', 'nt': [49, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 22], [1, -22]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 23], [1, -23]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 23], [1, -23]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 22], [1, -22]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 9], [1, -9]]]}
  • id: 30246300
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 36, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '98.1', 'image_order': 98, 'indicator': 1, 'kernel': '98.a1.a1', 'kernel_order': 8, 'label': '784.16.2f17', 'nt': [49, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 22], [1, -22]], [[1, 19], [1, -19]], [[1, 23], [1, -23]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 19], [1, -19]], [[1, 24], [1, -24]], [[1, 22], [1, -22]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 23], [1, -23]], [[1, 16], [1, -16]], [[1, 19], [1, -19]]]}
  • id: 30246301
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  • id: 30246302
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 38, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '98.1', 'image_order': 98, 'indicator': 1, 'kernel': '98.a1.a1', 'kernel_order': 8, 'label': '784.16.2f19', 'nt': [49, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 22], [1, -22]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 24], [1, -24]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 24], [1, -24]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 23], [1, -23]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 16], [1, -16]]]}
  • id: 30246284
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 21, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '98.1', 'image_order': 98, 'indicator': 1, 'kernel': '98.a1.a1', 'kernel_order': 8, 'label': '784.16.2f2', 'nt': [49, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 22], [1, -22]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 22], [1, -22]], [[1, 5], [1, -5]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[1, 13], [1, -13]]]}
  • id: 30246303
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 39, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '98.1', 'image_order': 98, 'indicator': 1, 'kernel': '98.a1.a1', 'kernel_order': 8, 'label': '784.16.2f20', 'nt': [49, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 22], [1, -22]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 23], [1, -23]], [[1, 12], [1, -12]]]}
  • id: 30246305
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  • id: 30246285
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  • id: 30246286
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  • id: 30246287
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  • id: 30246288
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  • id: 30246289
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  • id: 30246290
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  • id: 30246291
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  • id: 30246306
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  • id: 30246316
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 50, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g10', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 23], [1, -23]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 23], [1, -23]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 24], [1, -24]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[-1, 24], [-1, -24]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 20], [-1, -20]], [[-1, 18], [-1, -18]], [[-1, 17], [-1, -17]], [[-1, 6], [-1, -6]], [[-1, 19], [-1, -19]], [[-1, 16], [-1, -16]], [[-1, 9], [-1, -9]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 24], [-1, -24]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 22], [-1, -22]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 8], [-1, -8]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[1, 17], [1, -17]]]}
  • id: 30246317
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 51, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g11', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 24], [1, -24]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 20], [1, -20]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 23], [1, -23]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[-1, 10], [-1, -10]], [[1, 1], [1, -1]], [[-1, 18], [-1, -18]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, -23]], [[-1, 22], [-1, -22]], [[-1, 4], [-1, -4]], [[1, 13], [1, -13]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 16], [-1, -16]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 24], [-1, -24]], [[-1, 20], [-1, -20]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 18], [-1, -18]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 22], [-1, -22]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 24], [1, -24]]]}
  • id: 30246318
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 52, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g12', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 23], [1, -23]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 2], [1, -2]], [[1, 24], [1, -24]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[-1, 24], [-1, -24]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[1, 22], [1, -22]], [[-1, 15], [-1, -15]], [[-1, 20], [-1, -20]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 22], [-1, -22]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 18], [-1, -18]], [[-1, 20], [-1, -20]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]]]}
  • id: 30246319
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 53, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g13', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 5], [1, -5]], [[1, 22], [1, -22]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 24], [1, -24]], [[1, 23], [1, -23]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 23], [1, -23]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 22], [1, -22]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[-1, 20], [-1, -20]], [[-1, 2], [-1, -2]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[-1, 18], [-1, -18]], [[1, 15], [1, -15]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, -23]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[-1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 11], [-1, -11]], [[1, 10], [1, -10]]]}
  • id: 30246320
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 54, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g14', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[1, 22], [1, -22]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[1, 6], [1, -6]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 19], [-1, -19]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 22], [-1, -22]], [[-1, 24], [-1, -24]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 20], [-1, -20]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[1, 4], [1, -4]]]}
  • id: 30246321
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 55, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g15', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 22], [1, -22]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 11], [1, -11]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 23], [-1, -23]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 24], [-1, -24]], [[-1, 9], [-1, -9]], [[1, 17], [1, -17]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 22], [-1, -22]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 19], [-1, -19]], [[1, 5], [1, -5]]]}
  • id: 30246322
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 56, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g16', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 22], [1, -22]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 23], [1, -23]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 23], [1, -23]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 19], [-1, -19]], [[-1, 12], [-1, -12]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 4], [-1, -4]], [[-1, 23], [-1, -23]], [[1, 11], [1, -11]], [[-1, 17], [-1, -17]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 20], [-1, -20]], [[-1, 1], [-1, -1]], [[-1, 24], [-1, -24]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 15], [-1, -15]], [[-1, 22], [-1, -22]], [[-1, 3], [-1, -3]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 16], [-1, -16]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]]]}
  • id: 30246323
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  • id: 30246324
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 58, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g18', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 23], [1, -23]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 22], [1, -22]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[-1, 19], [-1, -19]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 20], [-1, -20]], [[-1, 17], [-1, -17]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 22], [-1, -22]], [[-1, 17], [-1, -17]], [[-1, 24], [-1, -24]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, -23]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 9], [-1, -9]], [[1, 23], [1, -23]]]}
  • id: 30246325
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 59, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g19', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 22], [1, -22]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 23], [-1, -23]], [[1, 17], [1, -17]], [[-1, 12], [-1, -12]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 18], [-1, -18]], [[-1, 19], [-1, -19]], [[1, 24], [1, -24]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 16], [-1, -16]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 17], [-1, -17]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 24], [-1, -24]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 11], [-1, -11]], [[-1, 23], [-1, -23]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]]]}
  • id: 30246307
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 42, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g2', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 22], [1, -22]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[-1, 15], [-1, -15]], [[1, 23], [1, -23]], [[-1, 22], [-1, -22]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, -3]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[1, 13], [1, -13]]]}
  • id: 30246327
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 60, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g20', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[-1, 5], [-1, -5]], [[1, 24], [1, -24]], [[-1, 9], [-1, -9]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[1, 18], [1, -18]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, -23]], [[1, 12], [1, -12]]]}
  • id: 30246328
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 61, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g21', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 23], [1, -23]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 20], [1, -20]], [[1, 23], [1, -23]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 22], [1, -22]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 24], [1, -24]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 22], [1, -22]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[-1, 9], [-1, -9]], [[1, 4], [1, -4]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, -19]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 16], [-1, -16]], [[1, 3], [1, -3]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 22], [-1, -22]], [[-1, 11], [-1, -11]], [[-1, 12], [-1, -12]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, -3]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 22], [-1, -22]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]]]}
  • id: 30246308
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 43, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g3', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 20], [1, -20]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 23], [1, -23]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[1, 22], [1, -22]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 16], [1, -16]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 19], [1, -19]], [[-1, 1], [-1, -1]], [[-1, 20], [-1, -20]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 23], [-1, -23]], [[-1, 22], [-1, -22]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, -17]], [[-1, 18], [-1, -18]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 19], [-1, -19]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 16], [-1, -16]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[1, 15], [1, -15]]]}
  • id: 30246309
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 44, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g4', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 24], [1, -24]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 22], [1, -22]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 13], [1, -13]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 24], [-1, -24]], [[-1, 17], [-1, -17]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, -20]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 19], [-1, -19]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 23], [-1, -23]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 23], [-1, -23]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, -9]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 22], [-1, -22]], [[-1, 19], [-1, -19]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[1, 22], [1, -22]]]}
  • id: 30246310
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 45, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g5', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 23], [1, -23]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 23], [1, -23]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[-1, 8], [-1, -8]], [[1, 9], [1, -9]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[1, 19], [1, -19]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 1], [-1, -1]], [[-1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 22], [-1, -22]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 23], [-1, -23]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 19], [-1, -19]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 23], [-1, -23]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 1], [-1, -1]], [[-1, 22], [-1, -22]], [[1, 20], [1, -20]]]}
  • id: 30246311
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 46, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g6', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 20], [1, -20]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 23], [1, -23]], [[1, 19], [1, -19]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 24], [1, -24]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[-1, 13], [-1, -13]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 12], [1, -12]], [[-1, 23], [-1, -23]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 20], [-1, -20]], [[-1, 8], [-1, -8]], [[-1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 16], [-1, -16]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, -15]], [[-1, 22], [-1, -22]], [[-1, 12], [-1, -12]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 1], [-1, -1]], [[1, 8], [1, -8]]]}
  • id: 30246312
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 47, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g7', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 19], [1, -19]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 23], [1, -23]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 23], [1, -23]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[-1, 22], [-1, -22]], [[1, 12], [1, -12]], [[-1, 20], [-1, -20]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 24], [-1, -24]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 20], [-1, -20]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 19], [-1, -19]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, -6]], [[-1, 23], [-1, -23]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[1, 6], [1, -6]]]}
  • id: 30246313
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 48, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g8', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 22], [1, -22]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 19], [1, -19]], [[1, 4], [1, -4]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 1], [1, -1]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 24], [1, -24]], [[1, 23], [1, -23]], [[1, 2], [1, -2]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 22], [1, -22]], [[-1, 11], [-1, -11]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 24], [-1, -24]], [[1, 20], [1, -20]], [[-1, 22], [-1, -22]], [[-1, 13], [-1, -13]], [[-1, 23], [-1, -23]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[-1, 22], [-1, -22]], [[-1, 12], [-1, -12]], [[-1, 23], [-1, -23]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, -20]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 18], [-1, -18]], [[1, 3], [1, -3]]]}
  • id: 30246314
    {'center': '98.a1.a1', 'center_index': 98, 'center_order': 8, 'counter': 49, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '196.3', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 4, 'label': '784.16.2g9', 'nt': [98, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 21], [-1, -21]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 23], [1, -23]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 24], [-1, -24]], [[1, 22], [1, -22]], [[-1, 4], [-1, -4]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, -22]], [[-1, 12], [-1, -12]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, -23]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, -17]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 20], [-1, -20]], [[-1, 24], [-1, -24]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]]]}
  • id: 30246329
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 62, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h1', 'nt': [196, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 22], [1, -22]], [[1, 17], [1, -17]], [[1, 20], [1, -20]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 19], [1, -19]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 23], [1, -23]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 24], [1, -24]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 17], [-1, -17]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 22], [-1, -22]], [[-1, 3], [-1, -3]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[1, 20], [-1, -20]], [[-1, 2], [-1, -2]], [[1, 13], [-1, -13]], [[1, 15], [-1, -15]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[1, 10], [-1, -10]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 8], [-1, -8]], [[-1, 23], [-1, -23]], [[-1, 9], [1, -9]], [[-1, 12], [1, -12]], [[-1, 24], [1, -24]], [[-1, 17], [1, -17]], [[-1, 19], [1, -19]], [[-1, 22], [1, -22]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[1, 9], [-1, -9]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[1, 24], [-1, -24]], [[-1, 11], [1, -11]], [[1, 19], [-1, -19]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 23], [1, -23]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 18], [1, -18]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[1, 16], [-1, -16]], [[-1, 8], [1, -8]], [[-1, 15], [1, -15]], [[1, 23], [-1, -23]], [[-1, 10], [1, -10]], [[1, 18], [-1, -18]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 16], [1, -16]], [[-1, 20], [1, -20]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 12], [-1, -12]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[1, 17], [-1, -17]], [[1, 11], [-1, -11]], [[1, 22], [-1, -22]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[-1, 1], [-1, -1]]]}
  • id: 30246339
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h10', 'nt': [196, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 20], [1, -20]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 23], [1, -23]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 24], [1, -24]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, -17]], [[-1, 22], [-1, -22]], [[-1, 24], [-1, -24]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 16], [-1, -16]], [[1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[1, 15], [-1, -15]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[1, 9], [-1, -9]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[1, 11], [-1, -11]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[1, 16], [-1, -16]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 10], [-1, -10]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 12], [-1, -12]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[-1, 20], [1, -20]], [[-1, 16], [1, -16]], [[-1, 18], [1, -18]], [[-1, 10], [1, -10]], [[-1, 24], [1, -24]], [[-1, 12], [1, -12]], [[-1, 22], [1, -22]], [[-1, 15], [1, -15]], [[-1, 19], [1, -19]], [[-1, 9], [1, -9]], [[-1, 17], [1, -17]], [[-1, 11], [1, -11]], [[-1, 23], [1, -23]], [[-1, 13], [1, -13]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[1, 19], [-1, -19]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[1, 17], [-1, -17]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[1, 23], [-1, -23]], [[-1, 8], [1, -8]], [[1, 20], [-1, -20]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[1, 18], [-1, -18]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[1, 24], [-1, -24]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[1, 22], [-1, -22]], [[-1, 20], [-1, -20]]]}
  • id: 30246340
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  • id: 30246341
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  • id: 30246342
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  • id: 30246343
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  • id: 30246344
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  • id: 30246345
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  • id: 30246346
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  • id: 30246347
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h18', 'nt': [196, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 23], [1, -23]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 17], [-1, -17]], [[-1, 23], [-1, -23]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 16], [-1, -16]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 24], [-1, -24]], [[-1, 22], [-1, -22]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[1, 18], [-1, -18]], [[-1, 22], [1, -22]], [[1, 12], [-1, -12]], [[-1, 16], [1, -16]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[-1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[1, 15], [-1, -15]], [[-1, 19], [1, -19]], [[1, 9], [-1, -9]], [[-1, 13], [1, -13]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[-1, 11], [1, -11]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[1, 19], [-1, -19]], [[-1, 23], [1, -23]], [[1, 13], [-1, -13]], [[-1, 17], [1, -17]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[-1, 8], [1, -8]], [[1, 22], [-1, -22]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[1, 16], [-1, -16]], [[-1, 20], [1, -20]], [[1, 10], [-1, -10]], [[-1, 18], [1, -18]], [[1, 8], [-1, -8]], [[-1, 12], [1, -12]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[1, 20], [-1, -20]], [[-1, 24], [1, -24]], [[1, 11], [-1, -11]], [[-1, 15], [1, -15]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[-1, 9], [1, -9]], [[1, 23], [-1, -23]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[1, 17], [-1, -17]], [[-1, 11], [-1, -11]]]}
  • id: 30246349
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h19', 'nt': [196, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 23], [1, -23]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 19], [-1, -19]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 24], [1, -24]], [[1, 10], [-1, -10]], [[1, 15], [-1, -15]], [[1, 23], [-1, -23]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 13], [1, -13]], [[-1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[-1, 8], [1, -8]], [[-1, 16], [1, -16]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 20], [-1, -20]], [[1, 18], [-1, -18]], [[-1, 17], [1, -17]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[1, 19], [-1, -19]], [[1, 16], [-1, -16]], [[1, 9], [-1, -9]], [[-1, 20], [1, -20]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[1, 24], [-1, -24]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[-1, 15], [1, -15]], [[-1, 12], [1, -12]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[-1, 22], [1, -22]], [[1, 11], [-1, -11]], [[-1, 10], [1, -10]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 23], [1, -23]], [[1, 12], [-1, -12]], [[1, 13], [-1, -13]], [[1, 22], [-1, -22]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 17], [-1, -17]], [[1, 8], [-1, -8]], [[-1, 19], [1, -19]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 9], [1, -9]], [[-1, 18], [1, -18]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[-1, 17], [-1, -17]]]}
  • id: 30246330
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  • id: 30246350
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h20', 'nt': [196, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 22], [1, -22]], [[1, 20], [1, -20]], [[1, 23], [1, -23]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 20], [1, -20]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[-1, 16], [-1, -16]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 19], [-1, -19]], [[-1, 6], [-1, -6]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[-1, 15], [-1, -15]], [[1, 24], [-1, -24]], [[-1, 10], [1, -10]], [[-1, 15], [1, -15]], [[-1, 23], [1, -23]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[1, 13], [-1, -13]], [[1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[1, 8], [-1, -8]], [[1, 16], [-1, -16]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 20], [1, -20]], [[-1, 18], [1, -18]], [[1, 17], [-1, -17]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[-1, 19], [1, -19]], [[-1, 16], [1, -16]], [[-1, 9], [1, -9]], [[1, 20], [-1, -20]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[-1, 24], [1, -24]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[1, 15], [-1, -15]], [[1, 12], [-1, -12]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[1, 22], [-1, -22]], [[-1, 11], [1, -11]], [[1, 10], [-1, -10]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 23], [-1, -23]], [[-1, 12], [1, -12]], [[-1, 13], [1, -13]], [[-1, 22], [1, -22]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[-1, 17], [1, -17]], [[-1, 8], [1, -8]], [[1, 19], [-1, -19]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 9], [-1, -9]], [[1, 18], [-1, -18]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[-1, 17], [-1, -17]]]}
  • id: 30246351
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  • id: 30246352
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  • id: 30246353
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  • id: 30246354
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  • id: 30246355
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  • id: 30246356
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  • id: 30246357
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  • id: 30246358
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  • id: 30246360
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 90, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h29', 'nt': [196, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 22], [1, -22]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 23], [1, -23]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 19], [1, -19]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 20], [1, -20]], [[1, 6], [1, -6]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 22], [1, -22]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[-1, 22], [-1, -22]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 24], [-1, -24]], [[-1, 11], [-1, -11]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 19], [-1, -19]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 16], [1, -16]], [[1, 23], [-1, -23]], [[1, 10], [-1, -10]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 15], [1, -15]], [[1, 24], [-1, -24]], [[1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[1, 11], [-1, -11]], [[1, 22], [-1, -22]], [[-1, 13], [1, -13]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[1, 12], [-1, -12]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[-1, 20], [1, -20]], [[-1, 22], [1, -22]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[-1, 19], [1, -19]], [[1, 16], [-1, -16]], [[1, 17], [-1, -17]], [[-1, 10], [1, -10]], [[-1, 8], [1, -8]], [[1, 15], [-1, -15]], [[1, 18], [-1, -18]], [[-1, 9], [1, -9]], [[-1, 23], [1, -23]], [[-1, 17], [1, -17]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 8], [-1, -8]], [[-1, 24], [1, -24]], [[-1, 18], [1, -18]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 11], [1, -11]], [[1, 20], [-1, -20]], [[1, 13], [-1, -13]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[-1, 12], [1, -12]], [[1, 19], [-1, -19]], [[-1, 5], [-1, -5]]]}
  • id: 30246331
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 64, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h3', 'nt': [196, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 22], [-1, -22]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[-1, 15], [1, -15]], [[-1, 23], [-1, -23]], [[-1, 22], [1, -22]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[-1, 23], [1, -23]], [[1, 17], [-1, -17]], [[1, 10], [-1, -10]], [[-1, 16], [1, -16]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 19], [-1, -19]], [[1, 9], [-1, -9]], [[1, 18], [-1, -18]], [[-1, 24], [1, -24]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 8], [1, -8]], [[1, 13], [-1, -13]], [[-1, 19], [1, -19]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[-1, 18], [1, -18]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[-1, 20], [1, -20]], [[1, 22], [-1, -22]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 23], [-1, -23]], [[-1, 11], [1, -11]], [[-1, 10], [1, -10]], [[-1, 12], [1, -12]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 17], [1, -17]], [[1, 11], [-1, -11]], [[1, 16], [-1, -16]], [[1, 12], [-1, -12]], [[1, 15], [-1, -15]], [[-1, 13], [1, -13]], [[-1, 9], [1, -9]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 24], [-1, -24]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[1, 8], [-1, -8]], [[1, 20], [-1, -20]], [[-1, 13], [-1, -13]]]}
  • id: 30246361
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  • id: 30246362
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  • id: 30246363
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  • id: 30246364
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  • id: 30246365
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  • id: 30246366
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  • id: 30246367
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  • id: 30246368
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 98, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h37', 'nt': [196, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 19], [-1, -19]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 23], [1, -23]], [[-1, 17], [-1, -17]], [[1, 12], [-1, -12]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[1, 17], [-1, -17]], [[1, 13], [-1, -13]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 18], [1, -18]], [[-1, 19], [1, -19]], [[-1, 24], [-1, -24]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[1, 8], [-1, -8]], [[1, 22], [-1, -22]], [[-1, 10], [1, -10]], [[-1, 9], [1, -9]], [[-1, 16], [1, -16]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[1, 15], [-1, -15]], [[-1, 8], [1, -8]], [[1, 20], [-1, -20]], [[1, 10], [-1, -10]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 12], [1, -12]], [[1, 24], [-1, -24]], [[-1, 17], [1, -17]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 11], [-1, -11]], [[1, 19], [-1, -19]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[-1, 24], [1, -24]], [[-1, 13], [1, -13]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[1, 18], [-1, -18]], [[-1, 11], [1, -11]], [[1, 23], [-1, -23]], [[1, 16], [-1, -16]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[-1, 15], [1, -15]], [[-1, 22], [1, -22]], [[-1, 20], [1, -20]], [[1, 9], [-1, -9]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[-1, 16], [-1, -16]]]}
  • id: 30246369
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 99, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h38', 'nt': [196, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 22], [1, -22]], [[1, 24], [1, -24]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 20], [1, -20]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 19], [-1, -19]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 23], [-1, -23]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 23], [-1, -23]], [[-1, 17], [-1, -17]], [[-1, 12], [1, -12]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[-1, 17], [1, -17]], [[-1, 13], [1, -13]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 18], [-1, -18]], [[1, 19], [-1, -19]], [[-1, 24], [-1, -24]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[-1, 8], [1, -8]], [[-1, 22], [1, -22]], [[1, 10], [-1, -10]], [[1, 9], [-1, -9]], [[1, 16], [-1, -16]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[-1, 15], [1, -15]], [[1, 8], [-1, -8]], [[-1, 20], [1, -20]], [[-1, 10], [1, -10]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[1, 12], [-1, -12]], [[-1, 24], [1, -24]], [[1, 17], [-1, -17]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 11], [1, -11]], [[-1, 19], [1, -19]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[1, 24], [-1, -24]], [[1, 13], [-1, -13]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[-1, 18], [1, -18]], [[1, 11], [-1, -11]], [[-1, 23], [1, -23]], [[-1, 16], [1, -16]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[1, 15], [-1, -15]], [[1, 22], [-1, -22]], [[1, 20], [-1, -20]], [[-1, 9], [1, -9]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 16], [-1, -16]]]}
  • id: 30246245
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  • id: 30246332
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 65, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h4', 'nt': [196, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 20], [1, -20]], [[1, 10], [1, -10]], [[1, 19], [1, -19]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[-1, 6], [-1, -6]], [[-1, 16], [-1, -16]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 22], [-1, -22]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, -19]], [[1, 15], [-1, -15]], [[-1, 23], [-1, -23]], [[1, 22], [-1, -22]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[1, 23], [-1, -23]], [[-1, 17], [1, -17]], [[-1, 10], [1, -10]], [[1, 16], [-1, -16]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 19], [1, -19]], [[-1, 9], [1, -9]], [[-1, 18], [1, -18]], [[1, 24], [-1, -24]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[1, 8], [-1, -8]], [[-1, 13], [1, -13]], [[1, 19], [-1, -19]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 18], [-1, -18]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[1, 20], [-1, -20]], [[-1, 22], [1, -22]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 23], [1, -23]], [[1, 11], [-1, -11]], [[1, 10], [-1, -10]], [[1, 12], [-1, -12]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 17], [-1, -17]], [[-1, 11], [1, -11]], [[-1, 16], [1, -16]], [[-1, 12], [1, -12]], [[-1, 15], [1, -15]], [[1, 13], [-1, -13]], [[1, 9], [-1, -9]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[-1, 24], [1, -24]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[-1, 8], [1, -8]], [[-1, 20], [1, -20]], [[-1, 13], [-1, -13]]]}
  • id: 30246246
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 101, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h40', 'nt': [196, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 23], [1, -23]], [[1, 15], [1, -15]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 22], [1, -22]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 23], [1, -23]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 22], [1, -22]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 19], [1, -19]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 20], [1, -20]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 16], [-1, -16]], [[-1, 22], [-1, -22]], [[-1, 20], [-1, -20]], [[-1, 23], [-1, -23]], [[-1, 15], [-1, -15]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 24], [-1, -24]], [[1, 9], [-1, -9]], [[-1, 16], [1, -16]], [[-1, 24], [1, -24]], [[1, 22], [-1, -22]], [[-1, 13], [1, -13]], [[1, 11], [-1, -11]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 10], [1, -10]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[-1, 8], [1, -8]], [[1, 17], [-1, -17]], [[-1, 19], [1, -19]], [[-1, 12], [1, -12]], [[1, 10], [-1, -10]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[1, 15], [-1, -15]], [[-1, 17], [1, -17]], [[-1, 23], [1, -23]], [[-1, 9], [1, -9]], [[1, 18], [-1, -18]], [[1, 24], [-1, -24]], [[-1, 20], [1, -20]], [[1, 13], [-1, -13]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[1, 16], [-1, -16]], [[-1, 18], [1, -18]], [[-1, 22], [1, -22]], [[1, 20], [-1, -20]], [[-1, 11], [1, -11]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 12], [-1, -12]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 8], [-1, -8]], [[-1, 15], [1, -15]], [[1, 19], [-1, -19]], [[1, 23], [-1, -23]], [[-1, 12], [-1, -12]]]}
  • id: 30246247
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  • id: 30246248
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 103, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h42', 'nt': [196, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 21], [1, -21]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 21], [-1, -21]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 24], [1, -24]], [[1, 23], [1, -23]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 22], [1, -22]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 20], [1, -20]], [[1, 19], [1, -19]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 20], [1, -20]], [[1, 23], [1, -23]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 22], [1, -22]], [[1, 19], [1, -19]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 24], [1, -24]], [[1, 16], [1, -16]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 24], [-1, -24]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 12], [-1, -12]], [[-1, 22], [-1, -22]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[1, 23], [-1, -23]], [[1, 19], [-1, -19]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[-1, 20], [1, -20]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[-1, 10], [1, -10]], [[-1, 16], [1, -16]], [[-1, 3], [-1, -3]], [[1, 18], [-1, -18]], [[1, 24], [-1, -24]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 15], [1, -15]], [[-1, 11], [1, -11]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 18], [1, -18]], [[-1, 8], [1, -8]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 22], [-1, -22]], [[1, 11], [-1, -11]], [[1, 12], [-1, -12]], [[-1, 23], [1, -23]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[-1, 13], [1, -13]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[1, 17], [-1, -17]], [[1, 16], [-1, -16]], [[-1, 19], [1, -19]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 20], [-1, -20]], [[1, 13], [-1, -13]], [[1, 10], [-1, -10]], [[-1, 17], [1, -17]], [[-1, 9], [1, -9]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[-1, 24], [1, -24]], [[1, 8], [-1, -8]], [[1, 15], [-1, -15]], [[-1, 22], [1, -22]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[-1, 12], [1, -12]], [[-1, 2], [-1, -2]]]}
  • id: 30246333
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  • id: 30246334
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  • id: 30246335
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 68, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h7', 'nt': [196, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 21], [1, -21]], [[1, 21], [-1, -21]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 24], [1, -24]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 22], [1, -22]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 8], [1, -8]], [[-1, 13], [1, -13]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 24], [-1, -24]], [[1, 17], [-1, -17]], [[1, 12], [-1, -12]], [[-1, 20], [1, -20]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[-1, 19], [1, -19]], [[1, 11], [-1, -11]], [[1, 18], [-1, -18]], [[1, 23], [-1, -23]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[-1, 22], [1, -22]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[-1, 10], [1, -10]], [[-1, 11], [1, -11]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[-1, 23], [1, -23]], [[1, 15], [-1, -15]], [[1, 8], [-1, -8]], [[-1, 16], [1, -16]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[-1, 17], [1, -17]], [[1, 9], [-1, -9]], [[1, 20], [-1, -20]], [[1, 13], [-1, -13]], [[1, 16], [-1, -16]], [[-1, 24], [1, -24]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[-1, 12], [1, -12]], [[-1, 9], [1, -9]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[1, 22], [-1, -22]], [[1, 19], [-1, -19]], [[1, 10], [-1, -10]], [[-1, 18], [1, -18]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[-1, 15], [1, -15]], [[-1, 22], [-1, -22]]]}
  • id: 30246336
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 4, 'counter': 69, 'cyclotomic_n': 49, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '392.7', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 2, 'label': '784.16.2h8', 'nt': [196, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 21], [1, -21]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 21], [1, -21]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 21], [-1, -21]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 21], [-1, -21]], [[-1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 24], [1, -24]], [[1, 13], [1, -13]], [[1, 20], [1, -20]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 22], [1, -22]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 23], [1, -23]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 19], [1, -19]], [[1, 20], [1, -20]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 24], [-1, -24]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 1], [1, 6], [1, 13], [1, 20], [1, -22], [1, -15], [1, -8]], [[-1, 5], [-1, -5]], [[1, 8], [-1, -8]], [[1, 13], [-1, -13]], [[-1, 2], [-1, 5], [-1, 9], [-1, 16], [-1, 23], [-1, -19], [-1, -12]], [[-1, 24], [1, -24]], [[-1, 17], [1, -17]], [[-1, 12], [1, -12]], [[1, 20], [-1, -20]], [[-1, 16], [-1, -16]], [[1, 2], [1, 5], [1, 12], [1, 19], [1, -23], [1, -16], [1, -9]], [[1, 19], [-1, -19]], [[-1, 11], [1, -11]], [[-1, 18], [1, -18]], [[-1, 23], [1, -23]], [[-1, 1], [-1, 6], [-1, 8], [-1, 15], [-1, 22], [-1, -20], [-1, -13]], [[1, 22], [-1, -22]], [[-1, 2], [-1, 5], [-1, 12], [-1, 19], [-1, -23], [-1, -16], [-1, -9]], [[1, 10], [-1, -10]], [[1, 11], [-1, -11]], [[-1, 3], [-1, 4], [-1, 11], [-1, 18], [-1, -24], [-1, -17], [-1, -10]], [[1, 23], [-1, -23]], [[-1, 15], [1, -15]], [[-1, 8], [1, -8]], [[1, 16], [-1, -16]], [[1, 2], [1, 5], [1, 9], [1, 16], [1, 23], [1, -19], [1, -12]], [[1, 3], [1, 4], [1, 10], [1, 17], [1, 24], [1, -18], [1, -11]], [[1, 17], [-1, -17]], [[-1, 9], [1, -9]], [[-1, 20], [1, -20]], [[-1, 13], [1, -13]], [[-1, 16], [1, -16]], [[1, 24], [-1, -24]], [[-1, 3], [-1, 4], [-1, 10], [-1, 17], [-1, 24], [-1, -18], [-1, -11]], [[1, 12], [-1, -12]], [[1, 9], [-1, -9]], [[-1, 1], [-1, 6], [-1, 13], [-1, 20], [-1, -22], [-1, -15], [-1, -8]], [[-1, 22], [1, -22]], [[-1, 19], [1, -19]], [[-1, 10], [1, -10]], [[1, 18], [-1, -18]], [[1, 3], [1, 4], [1, 11], [1, 18], [1, -24], [1, -17], [1, -10]], [[1, 1], [1, 6], [1, 8], [1, 15], [1, 22], [1, -20], [1, -13]], [[1, 15], [-1, -15]], [[-1, 22], [-1, -22]]]}
  • id: 30246338
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  • id: 30246249
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  • id: 30246250
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  • id: 30246251
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  • id: 30246252
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  • id: 30246262
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  • id: 30246263
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  • id: 30246264
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  • id: 30246265
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  • id: 30246267
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  • id: 30246268
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  • id: 30246269
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  • id: 30246270
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  • id: 30246271
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  • id: 30246272
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  • id: 30246253
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  • id: 30246273
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  • id: 30246274
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  • id: 30246254
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  • id: 30246256
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  • id: 30246257
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 2, 'counter': 111, 'cyclotomic_n': 49, 'dim': 4, 'faithful': True, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '784.16', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.a1', 'kernel_order': 1, 'label': '784.16.4b5', 'nt': [784, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 21], [2, -21]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 21], [-2, -21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[2, 2], [2, -2]], [[2, 18], [2, -18]], [[2, 20], [2, -20]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[2, 22], [2, -22]], [[2, 24], [2, -24]], [[2, 9], [2, -9]], [[2, 17], [2, -17]], [[2, 23], [2, -23]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 13], [2, -13]], [[2, 11], [2, -11]], [[2, 19], [2, -19]], [[-2, 22], [-2, -22]], [[-2, 11], [-2, -11]], [[-2, 16], [-2, -16]], [[-2, 23], [-2, -23]], [[-2, 4], [-2, -4]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[-2, 20], [-2, -20]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 3], [-2, -3]], [[-2, 19], [-2, -19]], [[-2, 1], [-2, -1]], [[-2, 18], [-2, -18]], [[-2, 24], [-2, -24]], [[-2, 6], [-2, -6]], [[-2, 12], [-2, -12]], [[-2, 10], [-2, -10]], [[-2, 17], [-2, -17]], [[-2, 5], [-2, -5]], [[-2, 13], [-2, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 30246258
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 2, 'counter': 112, 'cyclotomic_n': 49, 'dim': 4, 'faithful': True, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '784.16', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.a1', 'kernel_order': 1, 'label': '784.16.4b6', 'nt': [784, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 21], [2, -21]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 21], [-2, -21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 17], [2, -17]], [[2, 8], [2, -8]], [[2, 20], [2, -20]], [[2, 11], [2, -11]], [[2, 13], [2, -13]], [[2, 23], [2, -23]], [[2, 1], [2, -1]], [[2, 10], [2, -10]], [[2, 16], [2, -16]], [[2, 3], [2, -3]], [[2, 19], [2, -19]], [[2, 5], [2, -5]], [[2, 18], [2, -18]], [[2, 22], [2, -22]], [[2, 15], [2, -15]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[-2, 1], [-2, -1]], [[-2, 24], [-2, -24]], [[-2, 23], [-2, -23]], [[-2, 19], [-2, -19]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 9], [-2, -9]], [[-2, 13], [-2, -13]], [[-2, 11], [-2, -11]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[-2, 17], [-2, -17]], [[-2, 10], [-2, -10]], [[-2, 22], [-2, -22]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 30246259
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 2, 'counter': 113, 'cyclotomic_n': 49, 'dim': 4, 'faithful': True, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '784.16', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.a1', 'kernel_order': 1, 'label': '784.16.4b7', 'nt': [784, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 21], [2, -21]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 21], [-2, -21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 23], [2, -23]], [[2, 20], [2, -20]], [[2, 19], [2, -19]], [[2, 24], [2, -24]], [[2, 6], [2, -6]], [[2, 15], [2, -15]], [[2, 4], [2, -4]], [[2, 22], [2, -22]], [[2, 5], [2, -5]], [[2, 13], [2, -13]], [[2, 17], [2, -17]], [[2, 12], [2, -12]], [[2, 10], [2, -10]], [[2, 2], [2, -2]], [[2, 16], [2, -16]], [[2, 11], [2, -11]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 18], [2, -18]], [[2, 9], [2, -9]], [[-2, 13], [-2, -13]], [[-2, 18], [-2, -18]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 11], [-2, -11]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 6], [-2, -6]], [[-2, 19], [-2, -19]], [[-2, 22], [-2, -22]], [[-2, 4], [-2, -4]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 24], [-2, -24]], [[-2, 17], [-2, -17]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 3], [-2, -3]], [[-2, 10], [-2, -10]], [[-2, 23], [-2, -23]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 30246260
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 2, 'counter': 114, 'cyclotomic_n': 49, 'dim': 4, 'faithful': True, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '784.16', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.a1', 'kernel_order': 1, 'label': '784.16.4b8', 'nt': [784, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 21], [2, -21]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[-2, 7], [-2, -7]], [[-2, 21], [-2, -21]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 23], [2, -23]], [[2, 13], [2, -13]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 12], [2, -12]], [[2, 3], [2, -3]], [[2, 17], [2, -17]], [[2, 2], [2, -2]], [[2, 11], [2, -11]], [[2, 22], [2, -22]], [[2, 18], [2, -18]], [[2, 16], [2, -16]], [[2, 6], [2, -6]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 19], [2, -19]], [[2, 4], [2, -4]], [[2, 24], [2, -24]], [[2, 9], [2, -9]], [[2, 20], [2, -20]], [[-2, 18], [-2, -18]], [[-2, 9], [-2, -9]], [[-2, 22], [-2, -22]], [[-2, 1], [-2, -1]], [[-2, 19], [-2, -19]], [[-2, 10], [-2, -10]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[-2, 11], [-2, -11]], [[-2, 2], [-2, -2]], [[-2, 20], [-2, -20]], [[-2, 17], [-2, -17]], [[-2, 12], [-2, -12]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 23], [-2, -23]], [[-2, 5], [-2, -5]], [[-2, 13], [-2, -13]], [[-2, 24], [-2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 30246261
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 2, 'counter': 115, 'cyclotomic_n': 49, 'dim': 4, 'faithful': True, 'field': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'group': '784.16', 'group_counter': 16, 'group_order': 784, 'image': None, 'image_isoclass': '784.16', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.a1', 'kernel_order': 1, 'label': '784.16.4b9', 'nt': [784, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 21], [2, -21]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[-2, 7], [-2, -7]], [[-2, 21], [-2, -21]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 19], [2, -19]], [[2, 15], [2, -15]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 5], [2, -5]], [[2, 11], [2, -11]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 24], [2, -24]], [[2, 1], [2, -1]], [[2, 17], [2, -17]], [[2, 23], [2, -23]], [[2, 22], [2, -22]], [[2, 2], [2, -2]], [[2, 20], [2, -20]], [[2, 13], [2, -13]], [[2, 12], [2, -12]], [[2, 18], [2, -18]], [[2, 10], [2, -10]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 17], [-2, -17]], [[-2, 16], [-2, -16]], [[-2, 1], [-2, -1]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 22], [-2, -22]], [[-2, 11], [-2, -11]], [[-2, 6], [-2, -6]], [[-2, 24], [-2, -24]], [[-2, 9], [-2, -9]], [[-2, 8], [-2, -8]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 23], [-2, -23]], [[-2, 18], [-2, -18]], [[-2, 13], [-2, -13]], [[-2, 19], [-2, -19]], [[-2, 2], [-2, -2]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 110896544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 784, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 14, 'label': '784.16.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '784.16', 'subgroup_hash': 16, 'subgroup_order': 784, 'subgroup_tex': 'C_{49}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110896555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 98, 'characteristic': True, 'core_order': 392, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '784.16.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, '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': '392.10', 'subgroup_hash': 10, 'subgroup_order': 392, 'subgroup_tex': 'Q_8\\times C_{49}', 'supersolvable': True, 'sylow': 0}
  • id: 110896564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 392, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '784.16.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '392.3', 'subgroup_hash': 3, 'subgroup_order': 392, 'subgroup_tex': 'C_{49}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110896565
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 392, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '784.16.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, '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': '392.1', 'subgroup_hash': 1, 'subgroup_order': 392, 'subgroup_tex': 'C_{49}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110896566
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': True, 'core_order': 196, 'counter': 5, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '784.16.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '196.2', 'subgroup_hash': 2, 'subgroup_order': 196, 'subgroup_tex': 'C_{196}', 'supersolvable': True, 'sylow': 0}
  • id: 110896567
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': False, 'core_order': 98, 'counter': 6, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '784.16.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '196.2', 'subgroup_hash': 2, 'subgroup_order': 196, 'subgroup_tex': 'C_{196}', 'supersolvable': True, 'sylow': 0}
  • id: 110896568
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 98, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '784.16.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '196.1', 'subgroup_hash': 1, 'subgroup_order': 196, 'subgroup_tex': 'C_{49}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110896569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 56, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '784.16.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.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': 7, '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': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110896570
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 98, 'counter': 9, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '784.16.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '98.2', 'subgroup_hash': 2, 'subgroup_order': 98, 'subgroup_tex': 'C_{98}', 'supersolvable': True, 'sylow': 0}
  • id: 110896545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 98, 'characteristic': True, 'core_order': 56, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '784.16.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110896546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 28, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '784.16.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 14, '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': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110896547
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '784.16.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 14, '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': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110896548
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 49, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '784.16.16.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': '16.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '49.1', 'subgroup_hash': 1, 'subgroup_order': 49, 'subgroup_tex': 'C_{49}', 'supersolvable': True, 'sylow': 7}
  • id: 110896549
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': True, 'core_order': 28, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '784.16.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110896550
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': False, 'core_order': 14, 'counter': 15, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '784.16.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.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': 28, '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': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110896551
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 14, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '784.16.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.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': 28, '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': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110896552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 8, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '784.16.49.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '49.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': 49, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 2}
  • id: 110896553
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 14, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '784.16.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110896554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 98, 'characteristic': True, 'core_order': 8, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '784.16.98.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '98.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '98.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 98, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{49}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110896556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '784.16.98.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.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': 98, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110896557
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '784.16.98.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.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': 98, '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: 110896558
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 7, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '784.16.112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 110896559
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 4, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '784.16.196.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '196.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '196.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 196, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{98}', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110896560
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': False, 'core_order': 2, 'counter': 24, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '784.16.196.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.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': 196, '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: 110896561
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 25, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '784.16.196.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.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': 196, '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: 110896562
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 2, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '784.16.392.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '392.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '392.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 392, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{49}:D_4', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U2'], '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: 110896563
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '784.16', 'ambient_counter': 16, 'ambient_order': 784, 'ambient_tex': 'C_{49}:Q_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 1, 'counter': 27, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '784.16.784.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '784.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '784.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 784, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{49}:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C6'], '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: 110896557
    {'ambient': '784.16', 'aut_centralizer_order': 168, 'aut_label': '98.c1', 'aut_quo_index': None, 'aut_stab_index': 49, 'aut_weyl_group': '4.2', 'aut_weyl_index': 8232, 'centralizer': '98.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.c1.a1', '49.a1.a1'], 'contains': ['196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': [9456, -1, 9462, -1, 9201, -1, 9201, -1], 'generators': [2], 'label': '784.16.98.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '98.c1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896544
    {'ambient': '784.16', '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': '392.a1.a1', 'complements': ['784.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '7.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6817, 4683, 6943, 4683, 5071, 4408, 5071, 4408], 'generators': [1, 112, 12, 8, 2, 464], 'label': '784.16.1.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': '392.7', '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': '392.7'}
  • id: 110896545
    {'ambient': '784.16', 'aut_centralizer_order': 686, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.45', 'aut_weyl_index': 686, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.b1.a1', '98.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7267, 8605, 5192, 8605, 6584, 8101, 6584, 8101], 'generators': [1, 112, 8, 12], 'label': '784.16.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1', '98.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110896546
    {'ambient': '784.16', 'aut_centralizer_order': 14, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '336.125', 'aut_weyl_index': 98, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.c1.a1', '98.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4891, -1, 7542, -1, 4958, -1, 4958, -1], 'generators': [3, 8, 112, 12], 'label': '784.16.14.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 110896547
    {'ambient': '784.16', 'aut_centralizer_order': 28, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '168.47', 'aut_weyl_index': 196, 'centralizer': '196.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '98.c1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9053, -1, 8956, -1, 8211, -1, 8211, -1], 'generators': [2, 8, 112, 4], 'label': '784.16.14.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110896548
    {'ambient': '784.16', 'aut_centralizer_order': 784, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '42.6', 'aut_weyl_index': 784, 'centralizer': '2.a1.a1', 'complements': ['49.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['112.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [544, 3384, 538, 3384, 2496, 4070, 2496, 4070], 'generators': [688], 'label': '784.16.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '784.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.4', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896549
    {'ambient': '784.16', 'aut_centralizer_order': 2744, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 2744, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1', '14.b1.a1', '14.c1.a1'], 'contains': ['56.a1.a1', '196.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6616, 6864, 6636, 6864, 6033, 6359, 6033, 6359], 'generators': [12, 8, 112], 'label': '784.16.28.a1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '392.7', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110896550
    {'ambient': '784.16', 'aut_centralizer_order': 1372, 'aut_label': '28.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 2744, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.a1.a1'], 'contains': ['56.a1.a1', '196.b1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3945, -1, 1675, -1, 4788, -1, 4788, -1], 'generators': [1, 8, 112], 'label': '784.16.28.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896551
    {'ambient': '784.16', 'aut_centralizer_order': 28, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '84.7', 'aut_weyl_index': 392, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.b1.a1'], 'contains': ['56.a1.a1', '196.c1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [1693, -1, 3887, -1, 3515, -1, 3515, -1], 'generators': [3, 112, 8], 'label': '784.16.28.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '28.c1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110896552
    {'ambient': '784.16', 'aut_centralizer_order': 42, 'aut_label': '49.a1', 'aut_quo_index': None, 'aut_stab_index': 49, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2058, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1'], 'contains': ['98.a1.a1', '98.b1.a1', '98.c1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': [9162, -1, 9170, -1, 9498, -1, 9498, -1], 'generators': [1, 2], 'label': '784.16.49.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '49.a1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110896553
    {'ambient': '784.16', 'aut_centralizer_order': 5488, 'aut_label': '56.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 5488, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1'], 'contains': ['112.a1.a1', '392.a1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2857, 5152, 2827, 5152, 3755, 6359, 3755, 6359], 'generators': [8, 112], 'label': '784.16.56.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1', '392.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '392.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896554
    {'ambient': '784.16', 'aut_centralizer_order': 4116, 'aut_label': '98.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 4116, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.b1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7686, 8494, 5592, 8494, 8182, 8439, 8182, 8439], 'generators': [1, 12], 'label': '784.16.98.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '98.a1.a1', 'normal_contained_in': ['14.a1.a1'], 'normal_contains': ['196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '98.a1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110896555
    {'ambient': '784.16', 'aut_centralizer_order': 98, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '336.205', 'aut_weyl_index': 98, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '14.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5715, 8605, 3841, 8605, 4067, 8101, 4067, 8101], 'generators': [1, 688, 8, 12, 112], 'label': '784.16.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '392.7', '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': '8.3'}
  • id: 110896556
    {'ambient': '784.16', 'aut_centralizer_order': 84, 'aut_label': '98.b1', 'aut_quo_index': None, 'aut_stab_index': 49, 'aut_weyl_group': '8.3', 'aut_weyl_index': 4116, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.b1.a1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.c1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': [5653, -1, 7665, -1, 7164, -1, 7164, -1], 'generators': [3, 12], 'label': '784.16.98.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '98.b1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110896558
    {'ambient': '784.16', 'aut_centralizer_order': 5488, 'aut_label': '112.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 5488, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1'], 'contains': ['784.a1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [668, 3964, 661, 3964, 3755, 5423, 3755, 5423], 'generators': [112], 'label': '784.16.112.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1'], 'normal_contains': ['784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': '784.16', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.10', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896559
    {'ambient': '784.16', 'aut_centralizer_order': 16464, 'aut_label': '196.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 16464, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['28.a1.a1', '98.a1.a1', '98.b1.a1', '98.c1.a1'], 'contains': ['392.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6832, 7002, 6759, 7002, 7164, 8439, 7164, 8439], 'generators': [12], 'label': '784.16.196.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '196.a1.a1', 'normal_contained_in': ['28.a1.a1', '98.a1.a1'], 'normal_contains': ['392.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '196.a1.a1', 'projective_image': '392.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '98.1', 'quotient_action_kernel_order': 98, 'quotient_fusion': None, 'short_label': '196.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896560
    {'ambient': '784.16', 'aut_centralizer_order': 8232, 'aut_label': '196.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 16464, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.b1.a1', '98.a1.a1'], 'contains': ['392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4473, -1, 2427, -1, 5905, -1, 5905, -1], 'generators': [1], 'label': '784.16.196.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '98.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '196.b1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896561
    {'ambient': '784.16', 'aut_centralizer_order': 168, 'aut_label': '196.c1', 'aut_quo_index': None, 'aut_stab_index': 98, 'aut_weyl_group': '2.1', 'aut_weyl_index': 16464, 'centralizer': '196.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.a1', '98.b1.a1'], 'contains': ['392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 98, 'diagramx': [2453, -1, 4425, -1, 4887, -1, 4887, -1], 'generators': [3], 'label': '784.16.196.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '98.b1.a1', 'old_label': '196.c1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896562
    {'ambient': '784.16', 'aut_centralizer_order': 32928, 'aut_label': '392.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 32928, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['56.a1.a1', '196.a1.a1', '196.b1.a1', '196.c1.a1'], 'contains': ['784.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3307, 5484, 3271, 5484, 4887, 7295, 4887, 7295], 'generators': [8], 'label': '784.16.392.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '392.a1.a1', 'normal_contained_in': ['56.a1.a1', '196.a1.a1'], 'normal_contains': ['784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '392.a1.a1', 'projective_image': '392.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '392.7', 'quotient_action_kernel_order': 392, 'quotient_fusion': None, 'short_label': '392.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110896563
    {'ambient': '784.16', 'aut_centralizer_order': None, 'aut_label': '784.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': ['112.a1.a1', '392.a1.a1'], 'contains': [], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2453, 4738, 2427, 4738, 4321, 6359, 4321, 6359], 'generators': [], 'label': '784.16.784.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '784.a1.a1', 'normal_contained_in': ['112.a1.a1', '392.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '784.a1.a1', 'projective_image': '784.16', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '784.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110896564
    {'ambient': '784.16', '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': '392.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '14.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3510, 4683, 6022, 4683, 2058, 1313, 2058, 4408], 'generators': [3, 8, 464, 12, 112], 'label': '784.16.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '392.7', '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': '392.7'}
  • id: 110896565
    {'ambient': '784.16', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '196.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '14.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7919, 1395, 7849, 1395, 6075, 4408, 6075, 1313], 'generators': [2, 8, 464, 4, 112], 'label': '784.16.2.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': '392.7', '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': '196.3'}
  • id: 110896566
    {'ambient': '784.16', 'aut_centralizer_order': 392, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '84.15', 'aut_weyl_index': 392, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '28.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5777, 4683, 6068, 4683, 3614, 4408, 3614, 4408], 'generators': [12, 8, 112, 688], 'label': '784.16.4.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.a1.a1', '28.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '392.7', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110896567
    {'ambient': '784.16', 'aut_centralizer_order': 196, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '84.15', 'aut_weyl_index': 392, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '28.b1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3664, -1, 2089, -1, 2242, -1, 2242, -1], 'generators': [1, 8, 112, 688], 'label': '784.16.4.b1.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.b1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110896568
    {'ambient': '784.16', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4116.b', 'aut_weyl_index': 8, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '28.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1988, -1, 3809, -1, 714, -1, 714, -1], 'generators': [3, 464, 112, 8], 'label': '784.16.4.c1.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.c1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '196.3'}
  • id: 110896569
    {'ambient': '784.16', 'aut_centralizer_order': 7, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 49, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.b1.a1', '14.c1.a1', '49.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9146, -1, 9064, -1, 7758, -1, 7758, -1], 'generators': [1, 12, 8, 2, 112], 'label': '784.16.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '392.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 110896570
    {'ambient': '784.16', 'aut_centralizer_order': 784, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '42.6', 'aut_weyl_index': 784, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '56.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2701, 4433, 2672, 4433, 2242, 4070, 2242, 4070], 'generators': [8, 112, 688], 'label': '784.16.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '392.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}