Embedded newform data - 100.9.b.d.51.12

Formats: - HTML - YAML - JSON - 2025-09-07T09:04:38.078005

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 8100, 'analytic_conductor': 40.73786100611272, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [100, 2, [51, 77], [1, 2]], 'cm_discs': [], 'conrey_index': 51, 'dim': 16, 'field_disc': 52558969292624752486108280072364539801698602935009765625, 'field_disc_factorization': [[3, 4], [5, 11], [19, 2], [106349, 1], [18604824618190828499, 2]], 'field_poly': [206161212459445, 15986651928135, 1712647133330, -448299413930, 34408048994, -8558999923, 626274432, -116275535, 46850799, -1105435, 466168, -61783, 4390, -834, 26, -5, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [213398473077332121592700928000, 0, 856914006842422920880128000, 0, 1211574848925683038003200, 0, 734061840467687424000, 0, 201935571626361600, 0, 27929868057600, 0, 2013496736, 0, 71888, 0, 1]], [13, [364947321118786062172154806197510400, 2609768403326620366400359147520, -3074690046012847955386306816, 39133483329273416454656, 5552220809532855904, -65251903733888, -3918908944, 25696, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867752583268, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 351843720888320000000000000000, 'hecke_ring_index_factorization': [[2, 61], [5, 16]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '100.9.b.d', 'level': 100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '20.9.b.a', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{1}q^{2}+(\\beta _{1}-\\beta _{2})q^{3}+(-3-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '8.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '100.9.b', 'trace_display': [-6, 0, 0, 0], 'trace_hash': 1471144912703889151, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.076', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '990.484', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '118239.001', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.505', 'prec': 17}, 'traces': [16, -6, 0, -52, 0, 4368, 0, 14184, -38800, 0, 0, 64040, -51392, 68472, 0, -81424, -27552, 616994, 0, 0, 414496, 389120, 0, 163792, 0, 1037124, 0, -1288520, 2764896, 0, 0, 4379904, 5521600, 3793964, 0, -5468916, -9009472, 3087360, 0, 0, -8576448, 4067400, 0, 16921200, 0, -7974152, 0, 2696640, -32803600, 0, 0, -6679352, -2452032, 8898704, 0, 34134768, -11957760, -52156572, 0, 0, 8371712, -1290000, 0, -47543872, 0, 19358000, 0, -16095192, 7527264, 0, 0, 42242664, -61907232, -138210876, 0, 2570400, 156997440, 104032400, 0, 0, 140586672, -83921012, 0, 69761824, 0, -101724672, 0, -44728480, 106647456, 0, 0, 13876200, -105563840, 55264632, 0, -453389952, -171851232, 285387714, 0, 0, -279862368, -691218080, 0, 272181744, 0, 227256804, 0, -88253520, 798885376, 0, 0, 470151680, 802141728, -550789600, 0, 1006710552, 834850048, 3948000, 0, 0, -238843504, -71300532, 0, 1116170800, 0, -934315576, 0, -543497856, -2344228896, 0, 0, 1620387200, -596796160, -787363488, 0, -91643216, -1548301152, -104852680, 0, 0, 2359209376, -2060181520, 0, 2005886000, 0, 538806444, 0, -50043832, -1031472384, 0, 0, 4466838720, -830506592, -3346973200, 0, 226469200, -1376657472, 1347099840, 0, 0, -1095848544, -5483551886, 0, 3648652056, 0, -1201218912, 0, -6676118720, 3944513072, 0, 0, 4552221000, 1169469888, -8772375616, 0, -686755200, 1900809600, 7203717428, 0, 0, -4297935328, -11836511520, 0, 7842725712, 0, -988519600, 0, -191951400, 401457088, 0, 0, 14884496640, -812286752, -4577859396, 0, 637413644, 7435354368, 6383137440, 0, 0, 6330166816, -16357856972, 0, 15752542000, 0, 288063768, 0, -5424862752, 2701939200, 0, 0, 17439762888, 1889783360, -17250041328, 0, 7659636576, 4494525120, 2962192428, 0, 0, -394902912, -22716448880, 0, 21286161792, 0, -12133606276, 0, -10131835520, -1248367904, 0, 0, 23209805008, 1849883808, -41548263436, 0, 11286441600, -23122970240, 8443522320, 0, 0, -8895030848, -34641828006, 0, 23944266936, 0, 546742896, 0, -18200015520, -2246845216, 0, 0, 65825311000, -11024398400, -27490777848, 0, -11258769664, 5451911328, 16032809960, 0, 0, 2335540768, -41431664320, 0, 41717139200, 0, 21943200, 0, -21720935240, -26454872064, 0, 0, 46342955808, -3960024000, -21044006276, 0, 5994397216, -23849556992, 41583951360, 0, 0, 10409143872, -66881551640, 0, 57135495600, 0, -510898400, 0, -36801646336, 5365732912, 0, 0, 50416068968, 3361608768, -61733376704, 0, 27396904944, 1863731840, 27436980428, 0, 0, -23394489184, -46309261680, 0, 50916876800, 0, -5174597796, 0, -35285843520, 35934969824, 0, 0, 97838694560, 47529551328, -65629750716, 0, -6119976800, 77892087168, 8578377040, 0, 0, 25132481696, -84275300360, 0, 48346460492, 0, -6787218192, 0, 43014391888, 20276894304, 0, 0, 16684956360, 32520007808, -42893804088, 0, 16989051456, -42209758752, 5711853582, 0, 0, -33156604800, -78501235520, 0, 18570185232, 0, -41163047356, 0, -21691188080, 29963787616, 0, 0, 6333123840, -87918503712, -31900555200, 0, -9342965928, 54500009920, 19914362880, 0, 0, -8971740144, 8577001428, 0, 50478318000, 0, -57935387824, 0, 22989544320, -52821968000, 0, 0, 20917636160, -212115100672, -35061408000, 0, 51177359408, -98298096384, 34543848080, 0, 0, 98377205536, -20742338320, 0, -12652396288, 0, 90473820684, 0, -104471266392, -25070118144, 0, 0, 27243282024, 272386044480, 24501274804, 0, -102697291600, -89036992, -41413491360, 0, 0, 12254819232, 99937889240, 0, -145765076904, 0, 74144080336, 0, -55562511520, -100703969024, 0, 0, -10310793400, 17355880320, 132792864616, 0, -31379867136, 35950656640, -54505878080, 0, 0, -172394785408, 69644438880, 0, -84043637776, 0, -26159876400, 0, 135760242840, -4145705600, 0, 0, -288261059840, 59948185248, 155216658000, 0, 93490513912, 19597820160, -128121633760, 0, 0, 220313874128, 282655226296, 0, -7541882800, 0, -5851375752, 0, 104596771840, 61384962816, 0, 0, -169700909592, -93944246720, 232238652752, 0, -99648896000, -28807873952, 17608337028, 0, 0, -161037355488, 416911272160, 0, -116593078944, 0, 59686426364, 0, 262228152968, -54557797536, 0, 0, -426807242880, -17565380160, 420476407200, 0, -8451548400, -97056126592, -120217697440, 0, 0, 42573887808, 227723463468, 0, -431494674612, 0, -161505777616, 0, 181268433168, 354219205344, 0, 0, -553656715280, -68295840704, 347025393600, 0, -95090470400, 26508626880, -477777726040, 0, 0, -352420687584, 339210326560, 0, -746897886544, 0, 32693725200, 0, 381820986040, 23242212576, 0, 0, -458495894016, 279587975680, 30251680284, 0, -49724877824, 443729545280, -7239075360, 0, 0, 619839448992, 615704540468, 0, -485835294000, 0, 204567226408, 0, -87660864640, 41431254000, 0, 0, -669923674880, -582064317504, 350366688224, 0, -7248352272, -146185962880, -81626585972, 0, 0, 108825694752, 811849555440, 0, -462834064896, 0, 323838033200, 0, -89918276952, -529345886400, 0, 0, -491123410880, 516493432960, 559528109844, 0, -144626427200, -217141988352, -266905901040, 0, 0, 51112540800, 392485823468, 0, -497312319456, 0, 225720459888, 0, 184206763360, -89888734464, 0, 0, -639529140000, -880475886400, 922352914784, 0, 23802732224, 191865037728, -199076184978, 0, 0, -971025159264, 524562843840, 0, -18746294736, 0, -95041485916, 0, 664939533320, -41460723200, 0, 0, 50522831328, 974984299488, 716938431200, 0, -183532264008, -197314979840, -309413377920, 0, 0, 721620989632, 349985788680, 0, -92009848400, 0, 460398989536, 0, 146182663680, 99488163648, 0, 0, -799723239512, -471196497152, -167519473728, 0, -183659926400, -626873719392, -219478180520, 0, 0, -1160475286208, 925234819600, 0, -793933337600, 0, -979680345876, 0, 52280804808, 620973833088, 0, 0, -501536637120, 1441336280640, 167085745364, 0, 537990050000, 558341826048, -212527433280, 0, 0, 595644217152, 629805322520, 0, -50662244736, 0, -169379340800, 0, 32862495464, 140528083200, 0, 0, 294277603080, -876482387712, 108434279504, 0, -403619922528, -1678243451872, 212759931240, 0, 0, -384127289088, -674743816800, 0, 346853408272, 0, 71167374964, 0, 73624915320, -294320607136, 0, 0, 232946513920, 747996303648, 483661144524, 0, 700936767140, 1814960934528, 195457617280, 0, 0, 1679606866336, -521004581280, 0, 867716135200, 0, 356729917056, 0, 350028226880, 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-593788367712, -1078346952440, 0, 0, -10500959014592, 1879637881120, 0, 1791718406624, 0, -1593944842632, 0, 2711929399360, 3137640766944, 0, 0, -1683166951680, 15467424887360, 679592488400, 0, 2347207879296, 2945887807168, 582510692640, 0, 0], 'weight': 9, 'weight_parity': -1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
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[0.0, 0.0]], 'angles': [None, -0.38097566752340845, None, 0.1319587841327619, -0.40819252042259685, -0.18044658388155096, -0.2922354594181867, -0.4687061937213705, 0.080404543239142, -0.44334363606949895, -0.3890047177109266, -0.3956477260718499, -0.41816334028274826, -0.4312585904574125, -0.4997929459669116, -0.19330281757303103, 0.04450342160644174, -0.264419802711375, 0.015295178983021818, -0.3909162000917512, -0.3046937033156725, -0.37994175338917097, 0.01045013207826173, -0.20059267151379356, -0.3233305576642585, -0.258909849203823, -0.45052262547042854, 0.04742607175983751, -0.25242129678655, -0.12240766639970782, -0.40429680038873184, 0.09903729820889572, -0.29664345679480186, -0.44536171100925975, -0.10860511383188709, 0.08204599377128163, -0.4563410357209123, 0.10700018356575836, 0.04813322603435293, -0.2924036990352646, 0.06629656410171954, -0.20338537613074512, 0.0025354867132271306, -0.2742482272388979, -0.13866885957675554, -0.48927212798587155, -0.4151820825843467, 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-0.43577085747182115, -0.11692820976274194, -0.4448430194719043, -0.446207214352503, -0.3030530800736357, -0.4116150139317568, -0.16738509477820565, -0.29766213376419776, -0.3547522119323035, -0.479726569312599, -0.19505798791101225, -0.18263380908716537, 0.11222834617485923, -0.49641572402864603, -0.42762870535747083, -0.4394933536809288, -0.40662719186308866, -0.08496248606267559, -0.20647560947953716, -0.4111479084458327, 0.013500830338133672, -0.38294473885105995, -0.492723869101671, 0.030913789026194013, -0.22395879673611083, 0.08122869376679781, -0.4167463878641889, -0.15245020873542464], 'char_orbit_index': 2, 'conrey_index': 51, 'dual_conrey_index': 51, 'dual_embedding_index': 11, 'dual_embedding_m': 11, 'embedding_index': 12, 'embedding_m': 12, 'embedding_root_imag': -7.105883453047214, 'embedding_root_real': 3.0570742207739823, 'hecke_orbit': 4, 'hecke_orbit_code': 13510867752583268, 'label': '100.9.b.d.51.12', 'level': 100, 'weight': 9}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 8100, 'analytic_conductor': 40.73786100611272, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [100, 2, [51, 77], [1, 2]], 'conrey_index': 51, 'cusp_dim': 114, 'dim': 73, 'eis_dim': 12, 'eis_new_dim': 6, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 68870471780, 'hecke_orbit_dims': [1, 2, 2, 16, 16, 16, 20], 'label': '100.9.b', 'level': 100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 126, 'mf_new_dim': 79, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 73, 'sturm_bound': 135, 'trace_bound': 2, 'trace_display': [-2, 0, 0, 0], 'traces': [73, -2, 0, -330, 0, -742, 0, 2728, -144623, 0, 0, 14120, -39974, 3892, 0, 192178, -110374, 443558, 0, 0, 35896, -72640, 0, -212978, 0, 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0, 0, 3357351712320, -2166570029040, 0, -1283970449158, 0, -1304338765680, 0, -1160463036184, 782102697224, 0, 0, 3584154358240, 3604181239732, 1657417595188, 0, -3039218218920, 712408609946, 540299672640, 0, 0, -5969350539158, -2276262696324, 0, -6007829397466, 0, 2100519255600, 0, -18345762864, -1506771662470, 0, 0, 3317145643440, -7090186096960, 870575583180, 0, 327406309530, -2183999388160, 1981165735076, 0, 0, 3600249433746, -4162439163840, 0, -3269658399608, 0, -1739758542960, 0, -827650369400, -11694898310, 0, 0, 3930821279616, 6111764442266, 1821995468610, 0, 1998248041050, 2156675342720, 693181739360, 0, 0, -4295012020421, -2621876622604, 0, -2203503538770, 0, 2121608156584, 0, -1968765523744, -1247411830936, 0, 0, 3518392473920, -4150895852454, 4060663665704, 0, -4606203326282, -1162436391334, 999586665120, 0, 0, 7246706331632, -2233571745040, 0, -988567242086, 0, 331994900878, 0, -935564086400, 99549653760, 0, 0, 3428566147856, 6577794221466, 5923503536820, 0, 2951681034390, 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-13238862294400, 1420964515492, 0, -735147724164, -3939638964454, -2234438441720, 0, 0, 9637444241002, 1826467926880, 0, 2703467178734, 0, -4506018220744, 0, 2658682231360, 2823790080584, 0, 0, -1544560277760, 16563825734720, -2376973867680, 0, -2640695572274, 4927512008986, 842554767840, 0, 0], 'weight': 9, 'weight_parity': -1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 43047190
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 51, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13510867752583268, 'target_is_minimal': False, 'target_label': '100.9.b.d.51.12', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
  • id: 43047191
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 51, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 13510867752583268, 'target_is_minimal': False, 'target_label': '100.9.b.d.51.11', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 43047192
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007405564166244, 'target_is_minimal': False, 'target_label': '100.9.d.c.99.6', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 9}
  • id: 43047193
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 27, 'target_hecke_orbit_code': 9007405564166244, 'target_is_minimal': False, 'target_label': '100.9.d.c.99.27', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 43047194
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 11, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 68870471700, 'target_is_minimal': True, 'target_label': '20.9.b.a.11.5', 'target_level': 20, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 9}
  • id: 43047195
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 91, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 137589948596, 'target_is_minimal': False, 'target_label': '180.9.c.a.91.12', 'target_level': 180, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 9}
  • id: 43047196
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007405564166244, 'target_is_minimal': False, 'target_label': '100.9.d.c.99.5', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 43047197
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 28, 'target_hecke_orbit_code': 9007405564166244, 'target_is_minimal': False, 'target_label': '100.9.d.c.99.28', 'target_level': 100, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 9}
  • id: 43047198
    {'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 11, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 68870471700, 'target_is_minimal': True, 'target_label': '20.9.b.a.11.6', 'target_level': 20, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 9}
  • id: 43047199
    {'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 191, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 13510867752583488, 'target_is_minimal': False, 'target_label': '320.9.b.d.191.14', 'target_level': 320, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 9}
  • id: 43047200
    {'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 191, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510867752583488, 'target_is_minimal': False, 'target_label': '320.9.b.d.191.3', 'target_level': 320, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 9}
  • id: 43047201
    {'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 51, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 13510867752583268, 'source_is_minimal': False, 'source_label': '100.9.b.d.51.12', 'source_level': 100, 'target_conrey_index': 91, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 137589948596, 'target_is_minimal': False, 'target_label': '180.9.c.a.91.11', 'target_level': 180, 'twist_class_label': '20.9.b.a.11.5', 'twist_class_level': 20, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 9}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 300675
    {'charpoly_factorization': [[[18446744073709551616, 432345564227567616, 12384898975268864, -4987384743591936, -30717606100992, -16086800007168, 907244732416, 14677966848, 6320095232, 57335808, 13843456, -958848, -7152, -4536, 44, 6, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 2}
  • id: 300676
    {'charpoly_factorization': [[[213398473077332121592700928000, 0, 856914006842422920880128000, 0, 1211574848925683038003200, 0, 734061840467687424000, 0, 201935571626361600, 0, 27929868057600, 0, 2013496736, 0, 71888, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 3}
  • id: 300677
    {'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13510867752583268, 'p': 5}
  • id: 300678
    {'charpoly_factorization': [[[27165304665703056481827130122233669041370752000000000, 0, 671580041886716017332961205691515122918400000000, 0, 1332150545187653460081139699087345280000000, 0, 689424782658066094971228046284800000, 0, 166239191725940986912421344000, 0, 21812161278237847014400, 0, 1606909491360416, 0, 62520208, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 7}
  • id: 300679
    {'charpoly_factorization': [[[697363857688673609649067879884835711971208771120660480000000, 0, 34989162447199081930076598227193598782956409297305600000, 0, 13449768625991341273260365071058892644635639808000, 0, 1507688843479914305517603412612732682240000, 0, 41616401118695633688489063158579200, 0, 343083883136030339792896000, 0, 1195920347658713600, 0, 1834292800, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 11}
  • id: 300680
    {'charpoly_factorization': [[[364947321118786062172154806197510400, 2609768403326620366400359147520, -3074690046012847955386306816, 39133483329273416454656, 5552220809532855904, -65251903733888, -3918908944, 25696, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 13}
  • id: 300681
    {'charpoly_factorization': [[[923321320762947347588176797246791737600, -868879612080694103711665159203840, -894999541628324093115708252416, 1052838182125882481646336, 272470941978437672544, -235465819867968, -29149573904, 13776, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 17}
  • id: 300682
    {'charpoly_factorization': [[[2247401991974017225500218150438897684712958554599086836852140595352698880000000, 0, 41543019394034547317349470718315618853493964266732670721041262182400000, 0, 38656383908544591935685996076255635579466518004986112114688000, 0, 13391647226963368634039084942380286350016565477376000, 0, 2156887908887390237499255509685720265523200, 0, 175352365392915420775795235225600, 0, 7220961266423149568000, 0, 140354374400, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 19}
  • id: 300683
    {'charpoly_factorization': [[[3464503592981503126502348635340453646349479380252040126985813227911568827167449088000, 0, 2000497658938189815206016128758872606242261870311997076180338069107941376000, 0, 367956547635166987723596245447505897046948658705870277465855795200, 0, 26760872256135603813576917052386951772503188867380428800, 0, 914305297960332454401799846181811213236704000, 0, 15778729070691959562820240960025600, 0, 140250400513642516527776, 0, 605772255248, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 23}
  • id: 300684
    {'charpoly_factorization': [[[-6157575736849049533526530201895653012378767104, 135338102797962399193127908478762075808768, 369772706028068986662784400053383936, -1650581473092996446256974191872, 41274553359340046937440, 3363612153604773312, -1871124761424, -1382448, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 29}
  • id: 300685
    {'charpoly_factorization': [[[81757518359498861614380666754901809484940352503957533162194554085462294029590855680000000, 0, 13623985567140957827326937257372634121852807140701106467521148766271202918400000, 0, 836661034212654536867195104293623905286968019207677939772291022848000, 0, 23177163843614385470577031327073645018404637499704999936000, 0, 292623542990573830117988965955366884141765427200, 0, 1743701690851161461625358515173785600, 0, 4564300409188891641612800, 0, 3869440168000, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 31}
  • id: 300686
    {'charpoly_factorization': [[[-3741253235261884044585732078298568426693238521600, 3692823929176956617319490580436754933012480, 22357158190103199455950453638240737024, 1140684549833389017545721888256, -37804207555433712274967456, -28606254120877141888, -1011016783504, 4504736, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 37}
  • id: 300687
    {'charpoly_factorization': [[[-5636328779981431397628202473912459599886951505664, -10475905620882969674088479179996801366063104, 63247020467175001287050436489322733312, 130237027680703366488080939371008, 13688980700131481255361120, -69037413531871721088, -16725655141648, 4288224, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 41}
  • id: 300688
    {'charpoly_factorization': [[[2621426506580083510897207723971643780622883968294768966361888186908989194542408874659797866112000000000, 0, 5225814128352223295257291610486291308493974777130097032043621672752173359920538342400000000, 0, 3503338880254965667433321774077622098257389501706953270922132369111962240000000, 0, 1180327760727209383415336643148121607047276499374526090580633600000, 0, 228399959590449929657684263841097164806894385673184000, 0, 26470382813528273727299966281416224691200, 0, 1807056298521457195867853216, 0, 66438388278608, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 43}
  • id: 300689
    {'charpoly_factorization': [[[117356859038351564612004175636537577110948838080223975715719870650055804840786028599022351775080448000, 0, 728092544257266761277726754241620830579702954071408457098931647975706887505757945403121664000, 0, 497542765272865226262463069548374583263177178070757964468490408903856291632947200, 0, 119874778951769456080742409732224045252393926185241263641508901273600, 0, 12709938435977822485164780211173854243369979472660960000, 0, 656652159145302702658692969999124304153600, 0, 17105291530553392594103781536, 0, 212987224675088, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 47}
  • id: 300690
    {'charpoly_factorization': [[[-1897221841229329594191324116964435390512385414867910400, 3688736373085909623695534914532972419643476162560, -628810967039842580997250636359850256722176, -139828675272316159309648399147067904, 30816499503724862105365173344, 731918415187512001152, -325511630876304, 1226016, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 53}
  • id: 300691
    {'charpoly_factorization': [[[606762278273841566738547443396874395197771806324505653201082034231611577211194377178360216952753126113280000000, 0, 103291938247541446559926130887889508937430050579326355488394123907810851619325277143417067929600000, 0, 7021983627177648771752386165964797447544922116652154557058479716532991897337069568000, 0, 249951392161869199079311637680056482314602700310187427450009512050688000, 0, 5053489377185605814267979645658953845348641284061082419200, 0, 58182819190494197093743052044229738810572800, 0, 357986891045754125381350195200, 0, 1008565133875200, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 59}
  • id: 300692
    {'charpoly_factorization': [[[8392190285881560501363950506909505384629712115950776576, 676929491524318463639174484571162028576896761856, -2051084601170576309379830254010344892316928, -289618360953886324168989905729441792, 58879666270197556574084487520, 5337577740078083720192, -699551291214928, -4185856, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 61}
  • id: 300693
    {'charpoly_factorization': [[[75489731367932202663497070119957720687206328468944298356092919444882610408539569581797245886308203960639488000, 0, 91824043616132362375182137925184562115567298523780307379705013405289494360453750539790663426048000, 0, 30391905951151173443149568364677162869023917282893165657463856751620970569564387123200, 0, 2255961208368871303595959517798351039981269776387650935156209544742912000, 0, 46546969529538257808479189998915229723758139945606638969600, 0, 399509954447477193478450350498326854276326400, 0, 1524197962963520196723260667296, 0, 2346295879547728, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 67}
  • id: 300694
    {'charpoly_factorization': [[[2981235786347865173929787817401192879264312686877382512642169096663502756707673000206876728403329528450284257280000000, 0, 247950038783611493895422855408531824079647769744717572155181888830312892745913844368089698156308070400000, 0, 2423301159623505872162418165008647864280459818276593411278862703671326113938063352659968000, 0, 10062195536337002823238293941570956414846348714508667968532548847480602624000, 0, 22012134385841709067303668795856134527816142626473758495539200, 0, 27094171629565435922575157588372484477716070400, 0, 18773405756581758080275375884800, 0, 6806910428776000, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 71}
  • id: 300695
    {'charpoly_factorization': [[[-2653722541728868703899187830928265871647207435623360249600, -732671799638601174475657025914075385478965683461120, 232875704248041983569778388426751977011148544, 32293488118528958495047716034119196416, 451049420115723930740581152864, -65325692160646449941568, -1779011523699344, 30953616, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 73}
  • id: 300696
    {'charpoly_factorization': [[[101429299036843884299799655455526909518280701469219568853015625399130023833659734143121020241977512161894727680000000, 0, 77938724215621910948526614343852617822678248742223296698572180939849777187120341638346055874930278400000, 0, 7194124929091287781372832171322082121822731858107647738760736781037188649334985927426048000, 0, 45415418059658389333687806295569172289434982445675366179629779463643856896000, 0, 103162228182621885090995753103446839360316541378281059070771200, 0, 101137604589338741281596131329871758340757913600, 0, 48331809322699296847588538163200, 0, 11163172448185600, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 79}
  • id: 300697
    {'charpoly_factorization': [[[2415938963450481337052390293088151991983328346224348132463725849762612706655010603215001825033818956232042017368219648000, 0, 80804407830624386949069675121652558360850371308763858889272640406900826724728851717335626941122011078656000, 0, 521073447949071034287695433545047953477864872944532877656680498467745882482189297141151539200, 0, 1170578066772933604647419600741091290028776854474085434596640427781492110540800, 0, 1133682399055540578316232886985611062400286461280937838001120000, 0, 554894177385916998235936905674945363481960780800, 0, 144264929968651475896659223342496, 0, 19015070070478928, 0, 1], 1]], 'hecke_orbit_code': 13510867752583268, 'p': 83}
  • id: 300698
    {'charpoly_factorization': [[[-36304894735344418705654913987032405849468906191618807149076224, 1543503248799889670579559584564084735414853400283900928, 43665379779630453608474450679344784590481866496, -2834227830651322023121114302082307734272, 16015081895380597965177560774240, 941384441804787320331072, -11993973681529104, -53323728, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 89}
  • id: 300699
    {'charpoly_factorization': [[[404613902955552857105620355350289367298786275742772352659001600, -24034738152380526205049080154474069152318505649276687360, -953301170137317692902724296669358848282698675456, 15014512285716231617828957953043097805056, 310498582747736836869115419326304, -2208677437613936136132288, -31644063957341904, 85925616, 1], 2]], 'hecke_orbit_code': 13510867752583268, 'p': 97}
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '100.9.b.d', 'level': 100, 'portrait': 'data:image/png;base64,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', 'weight': 9}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 35949439
    {'hecke_orbit_code': 13510867752583268, 'n': 1, 'trace_an': 16}
  • id: 35949440
    {'hecke_orbit_code': 13510867752583268, 'n': 2, 'trace_an': -6}
  • id: 35949441
    {'hecke_orbit_code': 13510867752583268, 'n': 3, 'trace_an': 0}
  • id: 35949442
    {'hecke_orbit_code': 13510867752583268, 'n': 4, 'trace_an': -52}
  • id: 35949443
    {'hecke_orbit_code': 13510867752583268, 'n': 5, 'trace_an': 0}
  • id: 35949444
    {'hecke_orbit_code': 13510867752583268, 'n': 6, 'trace_an': 4368}
  • id: 35949445
    {'hecke_orbit_code': 13510867752583268, 'n': 7, 'trace_an': 0}
  • id: 35949446
    {'hecke_orbit_code': 13510867752583268, 'n': 8, 'trace_an': 14184}
  • id: 35949447
    {'hecke_orbit_code': 13510867752583268, 'n': 9, 'trace_an': -38800}
  • id: 35949448
    {'hecke_orbit_code': 13510867752583268, 'n': 10, 'trace_an': 0}
  • id: 35949449
    {'hecke_orbit_code': 13510867752583268, 'n': 11, 'trace_an': 0}
  • id: 35949450
    {'hecke_orbit_code': 13510867752583268, 'n': 12, 'trace_an': 64040}
  • id: 35949451
    {'hecke_orbit_code': 13510867752583268, 'n': 13, 'trace_an': -51392}
  • id: 35949452
    {'hecke_orbit_code': 13510867752583268, 'n': 14, 'trace_an': 68472}
  • id: 35949453
    {'hecke_orbit_code': 13510867752583268, 'n': 15, 'trace_an': 0}
  • id: 35949454
    {'hecke_orbit_code': 13510867752583268, 'n': 16, 'trace_an': -81424}
  • id: 35949455
    {'hecke_orbit_code': 13510867752583268, 'n': 17, 'trace_an': -27552}
  • id: 35949456
    {'hecke_orbit_code': 13510867752583268, 'n': 18, 'trace_an': 616994}
  • id: 35949457
    {'hecke_orbit_code': 13510867752583268, 'n': 19, 'trace_an': 0}
  • id: 35949458
    {'hecke_orbit_code': 13510867752583268, 'n': 20, 'trace_an': 0}
  • id: 35949459
    {'hecke_orbit_code': 13510867752583268, 'n': 21, 'trace_an': 414496}
  • id: 35949460
    {'hecke_orbit_code': 13510867752583268, 'n': 22, 'trace_an': 389120}
  • id: 35949461
    {'hecke_orbit_code': 13510867752583268, 'n': 23, 'trace_an': 0}
  • id: 35949462
    {'hecke_orbit_code': 13510867752583268, 'n': 24, 'trace_an': 163792}
  • id: 35949463
    {'hecke_orbit_code': 13510867752583268, 'n': 25, 'trace_an': 0}
  • id: 35949464
    {'hecke_orbit_code': 13510867752583268, 'n': 26, 'trace_an': 1037124}
  • id: 35949465
    {'hecke_orbit_code': 13510867752583268, 'n': 27, 'trace_an': 0}
  • id: 35949466
    {'hecke_orbit_code': 13510867752583268, 'n': 28, 'trace_an': -1288520}
  • id: 35949467
    {'hecke_orbit_code': 13510867752583268, 'n': 29, 'trace_an': 2764896}
  • id: 35949468
    {'hecke_orbit_code': 13510867752583268, 'n': 30, 'trace_an': 0}
  • id: 35949469
    {'hecke_orbit_code': 13510867752583268, 'n': 31, 'trace_an': 0}
  • id: 35949470
    {'hecke_orbit_code': 13510867752583268, 'n': 32, 'trace_an': 4379904}
  • id: 35949471
    {'hecke_orbit_code': 13510867752583268, 'n': 33, 'trace_an': 5521600}
  • id: 35949472
    {'hecke_orbit_code': 13510867752583268, 'n': 34, 'trace_an': 3793964}
  • id: 35949473
    {'hecke_orbit_code': 13510867752583268, 'n': 35, 'trace_an': 0}
  • id: 35949474
    {'hecke_orbit_code': 13510867752583268, 'n': 36, 'trace_an': -5468916}
  • id: 35949475
    {'hecke_orbit_code': 13510867752583268, 'n': 37, 'trace_an': -9009472}
  • id: 35949476
    {'hecke_orbit_code': 13510867752583268, 'n': 38, 'trace_an': 3087360}
  • id: 35949477
    {'hecke_orbit_code': 13510867752583268, 'n': 39, 'trace_an': 0}
  • id: 35949478
    {'hecke_orbit_code': 13510867752583268, 'n': 40, 'trace_an': 0}
  • id: 35949479
    {'hecke_orbit_code': 13510867752583268, 'n': 41, 'trace_an': -8576448}
  • id: 35949480
    {'hecke_orbit_code': 13510867752583268, 'n': 42, 'trace_an': 4067400}
  • id: 35949481
    {'hecke_orbit_code': 13510867752583268, 'n': 43, 'trace_an': 0}
  • id: 35949482
    {'hecke_orbit_code': 13510867752583268, 'n': 44, 'trace_an': 16921200}
  • id: 35949483
    {'hecke_orbit_code': 13510867752583268, 'n': 45, 'trace_an': 0}
  • id: 35949484
    {'hecke_orbit_code': 13510867752583268, 'n': 46, 'trace_an': -7974152}
  • id: 35949485
    {'hecke_orbit_code': 13510867752583268, 'n': 47, 'trace_an': 0}
  • id: 35949486
    {'hecke_orbit_code': 13510867752583268, 'n': 48, 'trace_an': 2696640}
  • id: 35949487
    {'hecke_orbit_code': 13510867752583268, 'n': 49, 'trace_an': -32803600}
  • id: 35949488
    {'hecke_orbit_code': 13510867752583268, 'n': 50, 'trace_an': 0}
  • id: 35949489
    {'hecke_orbit_code': 13510867752583268, 'n': 51, 'trace_an': 0}
  • id: 35949490
    {'hecke_orbit_code': 13510867752583268, 'n': 52, 'trace_an': -6679352}
  • id: 35949491
    {'hecke_orbit_code': 13510867752583268, 'n': 53, 'trace_an': -2452032}
  • id: 35949492
    {'hecke_orbit_code': 13510867752583268, 'n': 54, 'trace_an': 8898704}
  • id: 35949493
    {'hecke_orbit_code': 13510867752583268, 'n': 55, 'trace_an': 0}
  • id: 35949494
    {'hecke_orbit_code': 13510867752583268, 'n': 56, 'trace_an': 34134768}
  • id: 35949495
    {'hecke_orbit_code': 13510867752583268, 'n': 57, 'trace_an': -11957760}
  • id: 35949496
    {'hecke_orbit_code': 13510867752583268, 'n': 58, 'trace_an': -52156572}
  • id: 35949497
    {'hecke_orbit_code': 13510867752583268, 'n': 59, 'trace_an': 0}
  • id: 35949498
    {'hecke_orbit_code': 13510867752583268, 'n': 60, 'trace_an': 0}
  • id: 35949499
    {'hecke_orbit_code': 13510867752583268, 'n': 61, 'trace_an': 8371712}
  • id: 35949500
    {'hecke_orbit_code': 13510867752583268, 'n': 62, 'trace_an': -1290000}
  • id: 35949501
    {'hecke_orbit_code': 13510867752583268, 'n': 63, 'trace_an': 0}
  • id: 35949502
    {'hecke_orbit_code': 13510867752583268, 'n': 64, 'trace_an': -47543872}
  • id: 35949503
    {'hecke_orbit_code': 13510867752583268, 'n': 65, 'trace_an': 0}
  • id: 35949504
    {'hecke_orbit_code': 13510867752583268, 'n': 66, 'trace_an': 19358000}
  • id: 35949505
    {'hecke_orbit_code': 13510867752583268, 'n': 67, 'trace_an': 0}
  • id: 35949506
    {'hecke_orbit_code': 13510867752583268, 'n': 68, 'trace_an': -16095192}
  • id: 35949507
    {'hecke_orbit_code': 13510867752583268, 'n': 69, 'trace_an': 7527264}
  • id: 35949508
    {'hecke_orbit_code': 13510867752583268, 'n': 70, 'trace_an': 0}
  • id: 35949509
    {'hecke_orbit_code': 13510867752583268, 'n': 71, 'trace_an': 0}
  • id: 35949510
    {'hecke_orbit_code': 13510867752583268, 'n': 72, 'trace_an': 42242664}
  • id: 35949511
    {'hecke_orbit_code': 13510867752583268, 'n': 73, 'trace_an': -61907232}
  • id: 35949512
    {'hecke_orbit_code': 13510867752583268, 'n': 74, 'trace_an': -138210876}
  • id: 35949513
    {'hecke_orbit_code': 13510867752583268, 'n': 75, 'trace_an': 0}
  • id: 35949514
    {'hecke_orbit_code': 13510867752583268, 'n': 76, 'trace_an': 2570400}
  • id: 35949515
    {'hecke_orbit_code': 13510867752583268, 'n': 77, 'trace_an': 156997440}
  • id: 35949516
    {'hecke_orbit_code': 13510867752583268, 'n': 78, 'trace_an': 104032400}
  • id: 35949517
    {'hecke_orbit_code': 13510867752583268, 'n': 79, 'trace_an': 0}
  • id: 35949518
    {'hecke_orbit_code': 13510867752583268, 'n': 80, 'trace_an': 0}
  • id: 35949519
    {'hecke_orbit_code': 13510867752583268, 'n': 81, 'trace_an': 140586672}
  • id: 35949520
    {'hecke_orbit_code': 13510867752583268, 'n': 82, 'trace_an': -83921012}
  • id: 35949521
    {'hecke_orbit_code': 13510867752583268, 'n': 83, 'trace_an': 0}
  • id: 35949522
    {'hecke_orbit_code': 13510867752583268, 'n': 84, 'trace_an': 69761824}
  • id: 35949523
    {'hecke_orbit_code': 13510867752583268, 'n': 85, 'trace_an': 0}
  • id: 35949524
    {'hecke_orbit_code': 13510867752583268, 'n': 86, 'trace_an': -101724672}
  • id: 35949525
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