Embedded newform data - 825.6.a.u.1.7

Formats: - HTML - YAML - JSON - 2024-05-13T12:43:59.017439

• 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
  conrey_indexes	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_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_prime	boolean
  level_is_prime_power	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': 29700, 'analytic_conductor': 132.31665134570903, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [11, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [825, 1, [551, 727, 376], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 10, 'field_disc': 112046017895590711920720169818743111680585728, 'field_disc_factorization': [[2, 12], [3, 1], [1433, 1], [3359, 1], [66842371, 1], [246588203, 1], [114930391777450771, 1]], 'field_poly': [-7036608, -12856224, 7443872, 1367872, -822204, -33410, 24456, 309, -271, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-7036608, -12856224, 7443872, 1367872, -822204, -33410, 24456, 309, -271, -1, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992648074041, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 10000, 'hecke_ring_index_factorization': [[2, 4], [5, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '825.6.a.u', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '825.6.a.t', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-9q^{3}+(22+\\beta _{2})q^{4}-9\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.6.a', 'trace_display': [1, -90, 0, -188], 'trace_hash': 1774691362065530062, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.093', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.854', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.161', 'prec': 17}, {'__RealLiteral__': 0, 'data': '236.156', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9806.148', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [10, 1, -90, 223, 0, -9, -188, -177, 810, 0, 1210, -2007, 1102, 684, 0, 7019, -1106, 81, 2586, 0, 1692, 121, -2206, 1593, 0, 12001, -7290, -14452, 5824, 0, -4586, 10627, -10890, 7426, 0, 18063, 18362, -44001, -9918, 0, -5474, -6156, -20496, 26983, 0, 19981, 14970, -63171, 68582, 0, 9954, 58603, -61980, -729, 0, 7132, -23274, -7161, 61190, 0, 8230, 4509, -15228, 152223, 0, -1089, 11930, -105598, 19854, 0, 59822, -14337, 20680, 132564, 0, 68165, -22748, -108009, 234494, 0, 65610, -151948, -185478, 130068, 0, -17825, -52416, -21417, 181834, 0, 206274, -98373, 41274, -64998, 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• 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

  
  {'an_normalized': [[1.0, 0.0], [0.5594686000757253, 0.0], [-0.5773502691896257, 0.0], [-0.6869948855293081, 0.0], [0.0, 0.0], [-0.3230093468568631, 0.0], [1.7246367824969446, 0.0], [-0.9438206669419905, 0.0], [0.3333333333333333, 0.0], [0.0, 0.0], [0.30151134457776363, 0.0], [0.3966366820922422, 0.0], [1.6397997327504767, 0.0], [0.9648801263426688, 0.0], [0.0, 0.0], [0.15895685827273523, 0.0], [1.6873364129569002, 0.0], [0.1864895333585751, 0.0], [-0.5446021640821511, 0.0], [0.0, 0.0], [-0.995719510628941, 0.0], [0.16868612985787104, 0.0], [0.9360590595849518, 0.0], [0.5449151161256903, 0.0], [0.0, 0.0], [0.9174164608864578, 0.0], [-0.19245008972987526, 0.0], [-1.1848166489711227, 0.0], [1.041473846378552, 0.0], [0.0, 0.0], [-1.7042452759990483, 0.0], [1.0327520379122732, 0.0], [-0.17407765595569785, 0.0], [0.9440117408137929, 0.0], [0.0, 0.0], [-0.22899829517643602, 0.0], [-0.3768807293318806, 0.0], [-0.30468781033725156, 0.0], [-0.9467388171205642, 0.0], [0.0, 0.0], 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-0.2801716101113039, -0.3440162880984859, -0.3077605893488778, -0.14743095382522486, -0.20698776092481017, -0.37984586236367984, -0.35742565181412417, -0.12145095608599996, -0.1434886266966031, -0.14630524979817494, -0.13791779633228984, -0.2279222620580071, -0.29830449871671116, -0.3823491025196262, -0.3913542230083192, -0.37635074129144525, -0.21449077258697763, -0.3091544159376433, -0.22008327420903226, -0.05890740516357822, -0.3417552551629534, -0.2723797902954613, -0.16109596616159544, -0.18698646247550427, -0.21303186069420138, -0.1994279922327734, -0.22672868200189428, -0.2526966168975156, -0.2071164886084077, -0.29614126167008775, -0.17082980716418988, -0.09361238860485697, -0.0972453640249945, -0.39914401032766966, -0.2311427545778115, -0.33223468366471387, -0.2419510349859116, -0.1999153564626284, -0.21650017527016424, -0.2566315366747799, -0.18165431172342136, -0.25622506627531516, -0.21369611410170383, -0.3111796833225551, -0.3148565145384433, -0.3814281833461394, 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-0.187957210697461, -0.17238010848385157, -0.38246774860096394, -0.27717263430002204, -0.1574853872511564, -0.1491676547626209, -0.22966863669160634, -0.2635735308739759, -0.204801995352567, -0.317146484188921, -0.2190662280442558, -0.31496440867239367, -0.3102333052871813, -0.0932962504329327, -0.32922907086373915, -0.28805255293751136, -0.3380976267197965, -0.22527304318420055, -0.2524199620981576], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 7, 'dual_embedding_m': 7, 'embedding_index': 7, 'embedding_m': 7, 'embedding_root_imag': 0.0, 'embedding_root_real': 3.16483232779592, 'hecke_orbit': 21, 'hecke_orbit_code': 90071992648074041, 'label': '825.6.a.u.1.7', 'level': 825, 'weight': 6}
• mf_newspaces •

  Column	Type
  AL_dims	jsonb
  ALdims	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_prime	boolean
  level_is_prime_power	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

  
  {'AL_dims': [[[[3, -1], [5, -1], [11, -1]], 23, 2], [[[3, 1], [5, -1], [11, -1]], 20, 2], [[[3, 1], [5, -1], [11, 1]], 22, 2], [[[3, -1], [5, 1], [11, -1]], 16, 5], [[[3, 1], [5, 1], [11, 1]], 18, 4], [[[3, -1], [5, -1], [11, 1]], 21, 2], [[[3, -1], [5, 1], [11, 1]], 19, 4], [[[3, 1], [5, 1], [11, -1]], 21, 4]], 'ALdims': [18, 21, 22, 20, 19, 16, 21, 23], 'Nk2': 29700, 'analytic_conductor': 132.31665134570903, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [825, 1, [551, 727, 376], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 588, 'dim': 160, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100664121, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 7, 7, 7, 8, 8, 9, 9, 10, 10, 13, 13, 13, 13], 'label': '825.6.a', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 612, 'mf_new_dim': 160, 'num_forms': 25, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 160, 'sturm_bound': 720, 'trace_bound': 4, 'trace_display': [-8, -18, 0, -36], 'traces': [160, -8, -18, 2644, 0, -180, -36, 108, 12960, 0, 0, -864, -544, -1508, 0, 45132, 2700, -648, -6856, 0, 2664, -968, 4896, -540, 0, -22324, -1458, 11240, 26148, 0, 18556, 16428, -2178, 46080, 0, 214164, 7872, 59320, -4896, 0, 32636, 13068, -50236, 4840, 0, 67416, -62360, -77040, 371972, 0, 23328, -33704, 94088, -14580, 0, -69732, 32220, -40704, -72608, 0, 56964, -156976, -2916, 865796, 0, 17424, -60648, 200344, 21096, 0, -60456, 8748, 162488, 179720, 0, 67192, 29524, -61740, -56420, 0, 1049760, 20568, 98992, 84240, 0, 202096, 95904, -161172, -454528, 0, 102588, -116724, -236376, -879944, 0, -491940, 380896, 233152, 0, 0, -834772, 96912, -206304, -554932, 0, -772448, -363040, -69984, -599148, 0, 665892, 692032, -280600, 722232, 0, -78160, 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824355192, -152105712, -638335440, 0, -1353913368, 51187464, 865844312, 3059580160, 0, 1946425456, -335753444, 2350915488, 1937314544, 0, -294899616, 1289676456, 885414976, 2140114716, 0, -821302560, 1314984816, 589150544, 1991896864, 0, -3532339744, 1488074196, -949305456, 1147008872, 0, 594055224, 5218558968, 367743024, 418723020, 0, -1465375824, 83671668, -694342312, 315854248, 0, 53660032, -2132482064, -252313056, 2583570864, 0, -4351113144, 371709096, -1491322000, 1578338064, 0, -3809995040, -241321032, 1320306956, -1791030120, 0, -5029524048, -951011264, -99926640, -5663607180, 0, 121745916, -1655245728, 169454432, -3740049792, 0, -2883179632, 226243224, -2015474560, -638651552, 0, -232451220, -1241180920, -176740542, 986304792, 0, 1954916856, -589191156, 2227997700, -754350732, 0, 5630460088, -1902108456, -534047904, 2647234952, 0, -5078915512, -190410560, 52318872, 1410713444, 0, 39003624, 1802720976, -1364025800, -3386400876, 0, -442435312, 22497588, -2244705992, -2396562620, 0, -1075832588, 837348072, 392806800, -1547665008, 0, 1222086204, -1376105920, 2195734320, -1779696144, 0, 559889032, -374028048, -198468556, -3304349160, 0, 2160679696, 4396094856, 586943856, -412040076, 0, -272263824, -586360352, 1414504144, 240790968, 0, 2779081848, -205922376, 5108118584, -2948648000, 0, -5280859272, -4138308088, 129161304, -4176355144, 0, -3751062552, 564215920, 385008124, 990241560, 0, 2084433120, 107784108, -899568960, 7516257496, 0, -204131840, 2411930984, 321942816, 1492730624, 0, 1687476888, -4281637480, -1496373880, -3438999216, 0, 3649671208, -106674084, 2109556688, -6128621764, 0, -2845128876, 2423209836, -124998480, -3782243112, 0, 1635633756, -3311525512, 1207163760, -84803112, 0, -2038469896, -675285480, 105379768, 610960480, 0, 1358033024, -1572510224, 1372245624, -322765080, 0, -2839090752, 4200526816, -2746898752, 4759670772, 0, 8414170384, -9608220, -201094064, -4423831176, 0, 2031177648, 2137164480, 600384708, -3458606424, 0, -572676156, -1773603380, 4529893320, -494831844, 0, 554458784, 588551400, 2090402448, 4197075540, 0, 3492843840, 203997212, -721322640, 3402385932, 0, -248650488, -14172488, -2494494168, -345555072, 0, 1483069928, -997297632, 2145298992, 1080734416, 0, 471029100, 1896945688, -14289858, 3040634432, 0, -2313577152, 470686672, 2315804384, -1710149112, 0, -688310040, -112668408, 3259510692, 996400636, 0, 4305162568, 12174280, 757938348, 6064293340, 0, -348075144, -636768808, 4141799768, -202363128, 0, -24055384, -1541057472, -351515800, 881935344, 0, -6771001024, 219185792, -303740640, -4917539324, 0, -31363200, 1533662120, -5183368696, -739109124, 0, 1183786384, -47137032, -644568952, 7787429408, 0, 333311016, 679337560, -145317564, 1384733296, 0, 1717184376, -897084920, -3990316568, -1310749344, 0, 9819370408, -515128896, 374221056, -168206952, 0, -1209650252, -187788712, -1033324704, 4658100968, 0, 1818310680, 315627680, -4885243608, 1546414848, 0, -3627432116, 995292072, -1074782872, -8296274392, 0, 3765007888, -1412065312, -2010548736, 4786886920, 0, -2308687848, -650801512, 2098584776, 302330880, 0, 10874603752, 790928460, -370873432, 363423544, 0, 294743416, 828285604, 107781516, 2817453008, 0, 264814488, 2373230028, -3240374632, -318643632, 0, -91398216, 144858780, -420490368, 6151553376, 0, -4933732072, 3234894736, 2714544288, -7914305340, 0, -527072832, -698447368, 71682336, -3274626384, 0, -1717924672, -14735916, -1661723744, -92210308, 0, -1769403156, -3116598452, 1707809580, -3061018312, 0, 1267938504, -1140799344, 881612484, 396804744, 0, -7189027084, 3113704512, -1147775624, 9318197688, 0, 1908709496, 384203832, 541066716, 2917920864, 0, -2725990848, 389147360, 1095503272, 2542346496, 0, -1283262112, 94602816, -3604000176, 4062409496, 0, -1178780500, -1902542280, 459811728, -9223790120, 0, -882522216, 233204752, -2977347160, 2001329424, 0, 5233907136, -693846216, -945730016, -3643699472, 0, 14445071432, -753642620, 99238392, -1795731376, 0, 1473803712, -531170256, 481211976, -383830488, 0, -5411925408, -1249714296, 2885337360, -2185504904, 0, -3269700688, -1942287168, -146284704, 76188608, 0, -3985819632, 2257019080, 3578466044, -1479489696, 0, 1002898528, -187942032, 377830488, 978326664, 0, -3798711824, -1616488272, -2562097104, 3041907388, 0, 126903348, -1278213904, 2396586596, 1165051224, 0, 1589740260, -77681448, -2892202520, -5100021728, 0, 1060599452, -89180872, 601087086, -3799310880, 0, -4688566056, -2256753408, -412176612, -463043304, 0, -10773032112, -2263626576, -880807400, -4762662540, 0, 2120125360, 3801734400, 444001824, 2800103508, 0, 463576140, 3344064432, -612952976, -7906140, 0, 8007233536, 1331351640, 2427960576, -5416297208, 0, -1820373720, -6007404264, -2590851240, -3164017728, 0, 1405130004, -4657958568, 1156757936, -2720033136, 0, 4830919136, 1205356248, -2850459736, -3129760688, 0, 1150384752, 325469640, 1514096856, -4522599360, 0, 907857252, -1658064232, 2459612176, 2020371984, 0, -1347861088, 17245404, 3531275096, 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• 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: 48356272
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90071992648074041, 'source_is_minimal': True, 'source_label': '825.6.a.u.1.7', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 90071992648074041, 'target_is_minimal': True, 'target_label': '825.6.a.u.1.7', 'target_level': 825, 'twist_class_label': '825.6.a.t.1.4', 'twist_class_level': 825, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
  • id: 48356273
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90071992648074041, 'source_is_minimal': True, 'source_label': '825.6.a.u.1.7', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568393020703545, 'target_is_minimal': True, 'target_label': '825.6.a.t.1.4', 'target_level': 825, 'twist_class_label': '825.6.a.t.1.4', 'twist_class_level': 825, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 6}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1379000
    {'charpoly_factorization': [[[-7036608, -12856224, 7443872, 1367872, -822204, -33410, 24456, 309, -271, -1, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 2}
  • id: 1379001
    {'charpoly_factorization': [[[9, 1], 10]], 'hecke_orbit_code': 90071992648074041, 'p': 3}
  • id: 1379002
    {'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 90071992648074041, 'p': 5}
  • id: 1379003
    {'charpoly_factorization': [[[7077690891936200508, 3285124425782365852, 136668696201767807, -3597720898291244, -29864937527286, 517667219760, 3074596216, -18336748, -100654, 188, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 7}
  • id: 1379004
    {'charpoly_factorization': [[[-121, 1], 10]], 'hecke_orbit_code': 90071992648074041, 'p': 11}
  • id: 1379005
    {'charpoly_factorization': [[[4100304825882373533598208, -448900203273545677137920, -986087615571269374400, 125672956415179687040, -19060399353830056, -1179152925356960, 850028565339, 2188125854, -1862180, -1102, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 13}
  • id: 1379006
    {'charpoly_factorization': [[[-644508085813387576084991377152, 4209150244891913473225876848, 7478939091325774186147500, -18459272796731662270640, -23746555503813360605, 20840343912616162, 23069443492283, -8565366044, -8404459, 1106, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 17}
  • id: 1379007
    {'charpoly_factorization': [[[-2386962739266076247086714955625, -10545382108764201320604254250, 7180788565142160183538025, 37382465333067602775840, -10981469105564730086, -44840366364936220, 12631719993462, 20556147776, -7161489, -2586, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 19}
  • id: 1379008
    {'charpoly_factorization': [[[528945801343627804221827474199948, 453159839467419877247520413436, -2361561247941301285077603317, -3086011477226865006272530, -236632756881458273594, 972234812753973614, 261989533572676, -90364219382, -31998370, 2206, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 23}
  • id: 1379009
    {'charpoly_factorization': [[[4439285384553530076043742566742784000, -2666223333625858422268336671498240, -903633918792181972671955546368, 830777746360995385831114496, -66857845962063974798624, -44120160616607806144, 6197316891024212, 861030961596, -140942937, -5824, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 29}
  • id: 1379010
    {'charpoly_factorization': [[[-6030559326338953681383610762046976, 21356979394761815572499458111488, 118402440266231466080371020864, 24908548172186175351014016, -116356087843206741630440, 12291353398920364512, 7449370928930139, -513634268618, -154015796, 4586, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 31}
  • id: 1379011
    {'charpoly_factorization': [[[-28347608909909124528255699546135008464, -27840223956309575526767284829011728, 991131123820610747002851496064, 5288524986476588903488629100, 86063083624579581745105, -306283768836533327362, 8353381890719727, 4530934832384, -206397201, -18362, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 37}
  • id: 1379012
    {'charpoly_factorization': [[[-20163628716057451883953975597130412144, -17806382328141568881714709626707376, 22867677514064383370074913143344, -2758016227335729303287960988, -1574396441758968755488033, 194946126283116470746, 41019646006229767, -2374650193768, -391515111, 5474, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 41}
  • id: 1379013
    {'charpoly_factorization': [[[1076516107553956681864891822710744360000, -93537721454333527772666895405288000, -228491160379188188619187069872400, -27928383870449141659575031840, 5263492007772886680684444, 1029605180089569782460, -2573337698247807, -8526665277524, -289638246, 20496, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 43}
  • id: 1379014
    {'charpoly_factorization': [[[-31685413480155880762070725831630878557184, 16127491572680787279061591794222112512, 6836416924385441891675871382012176, 240095856778278579601562618216, -86548862091986260121338159, -3746583508915099849994, 457161516529279839, 13953500219132, -1125414241, -14970, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 47}
  • id: 1379015
    {'charpoly_factorization': [[[159313972051881587324680541990097788928, -418397904854731155987819741680372736, 15645735470114726373698665163008, 67260572159835768312240920064, 8417194713932736500011776, -1060728370227171964672, -211990436456177440, -2972848757728, 1056183760, 61980, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 53}
  • id: 1379016
    {'charpoly_factorization': [[[-4123569642115741227176414241629961255724800, -8185770917202966305547648443279447298240, -387964784509008551096340374400118676, 69319966325740517244323774303296, 1327652292755454681901413213, -216803485555254902545062, 964752942338689203, 207966888025996, -2617874141, -61190, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 59}
  • id: 1379017
    {'charpoly_factorization': [[[13729111569276889948584062765871514573312256, -3775529644667124324497922140356848853248, 22079408137005583710813500155260160, 60974621008345867876994322247488, -3866440849798211406422347424, -79129034476182373517328, 8167622932550472288, 43070230648364, -5148151927, -8230, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 61}
  • id: 1379018
    {'charpoly_factorization': [[[38427984411221899571906381363312031310362368, 12106931292898622546363803008687500564224, 335889143047262164466944282567700864, -103011809641209773817689444923584, -6336636641125907332362696704, 78868898076614075800432, 10142333665678554840, 10238710978236, -5487547191, -11930, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 67}
  • id: 1379019
    {'charpoly_factorization': [[[-34420830372534517427201139424782947675470800, 41747719603131820066522742713876089683400, -7274594829926339288387680707158170549, 325793684734758564824786348606742, 7375082307559742665798835278, -722456432804802211848914, 5180074602111641764, 385789190317730, -5328695406, -59822, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 71}
  • id: 1379020
    {'charpoly_factorization': [[[-6279884191915762573729419264179157693196266496, 336706324315610920497144356769771130732544, 35062038108590223383799317496215217408, -814699489042640921963612263980544, -67781816801386665082655972736, 251765920557134751300736, 43035578176602891168, 55910616786144, -11030873020, -20680, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 73}
  • id: 1379021
    {'charpoly_factorization': [[[-4899399898775989851396878127491470108992192000, 489287923245405666711418788025107604599360, 7328685509816649833401226945927796464, -2045024408080801348555218309890276, 43450727232514736729825236615, 1561568768568703067038970, -62009985414460298569, 221777636710352, 15742838577, -234494, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 79}
  • id: 1379022
    {'charpoly_factorization': [[[-2422609448094310922558946412390782523836389376, 5870720369499578608082451817372392365568000, -228566295019930072381366175318509480704, -12268401084388053393545247922938624, 237695405154776403730658185376, 9016047545813191540046592, -41916236924809939620, -2293384855415148, -4493950179, 185478, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 83}
  • id: 1379023
    {'charpoly_factorization': [[[563486247838079925104757811391298957875235744000, -53456416052140386976459662163459179846013440, -3849424976165649669562035926209835752448, 116588158509666695866549519272153600, 1703330628962754475997101493088, -57598094389718605757787712, 63892740002605682960, 6088343571178464, -25887839223, -181834, 1], 1]], 'hecke_orbit_code': 90071992648074041, 'p': 89}
  • id: 1379024
    {'charpoly_factorization': [[[-378718275519983235183537088384813365824743983479, 48836353880853043007377814123023042629576102, 14517879827790175961960844793145549501325, 790793074846541839212497585722116744, 16156250476784038524739787583874, 94118089342575524642848996, -968555604008400287182, -12924545149965816, -14820894155, 304358, 1], 1]], 'hecke_orbit_code': 90071992648074041, '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': 1, 'hecke_orbit': 21, 'label': '825.6.a.u', 'level': 825, 'portrait': 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', 'weight': 6}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 250869000
    {'hecke_orbit_code': 90071992648074041, 'n': 1, 'trace_an': 10}
  • id: 250869001
    {'hecke_orbit_code': 90071992648074041, 'n': 2, 'trace_an': 1}
  • id: 250869002
    {'hecke_orbit_code': 90071992648074041, 'n': 3, 'trace_an': -90}
  • id: 250869003
    {'hecke_orbit_code': 90071992648074041, 'n': 4, 'trace_an': 223}
  • id: 250869004
    {'hecke_orbit_code': 90071992648074041, 'n': 5, 'trace_an': 0}
  • id: 250869005
    {'hecke_orbit_code': 90071992648074041, 'n': 6, 'trace_an': -9}
  • id: 250869006
    {'hecke_orbit_code': 90071992648074041, 'n': 7, 'trace_an': -188}
  • id: 250869007
    {'hecke_orbit_code': 90071992648074041, 'n': 8, 'trace_an': -177}
  • id: 250869008
    {'hecke_orbit_code': 90071992648074041, 'n': 9, 'trace_an': 810}
  • id: 250869009
    {'hecke_orbit_code': 90071992648074041, 'n': 10, 'trace_an': 0}
  • id: 250869010
    {'hecke_orbit_code': 90071992648074041, 'n': 11, 'trace_an': 1210}
  • id: 250869011
    {'hecke_orbit_code': 90071992648074041, 'n': 12, 'trace_an': -2007}
  • id: 250869012
    {'hecke_orbit_code': 90071992648074041, 'n': 13, 'trace_an': 1102}
  • id: 250869013
    {'hecke_orbit_code': 90071992648074041, 'n': 14, 'trace_an': 684}
  • id: 250869014
    {'hecke_orbit_code': 90071992648074041, 'n': 15, 'trace_an': 0}
  • id: 250869015
    {'hecke_orbit_code': 90071992648074041, 'n': 16, 'trace_an': 7019}
  • id: 250869016
    {'hecke_orbit_code': 90071992648074041, 'n': 17, 'trace_an': -1106}
  • id: 250869017
    {'hecke_orbit_code': 90071992648074041, 'n': 18, 'trace_an': 81}
  • id: 250869018
    {'hecke_orbit_code': 90071992648074041, 'n': 19, 'trace_an': 2586}
  • id: 250869019
    {'hecke_orbit_code': 90071992648074041, 'n': 20, 'trace_an': 0}
  • id: 250869020
    {'hecke_orbit_code': 90071992648074041, 'n': 21, 'trace_an': 1692}
  • id: 250869021
    {'hecke_orbit_code': 90071992648074041, 'n': 22, 'trace_an': 121}
  • id: 250869022
    {'hecke_orbit_code': 90071992648074041, 'n': 23, 'trace_an': -2206}
  • id: 250869023
    {'hecke_orbit_code': 90071992648074041, 'n': 24, 'trace_an': 1593}
  • id: 250869024
    {'hecke_orbit_code': 90071992648074041, 'n': 25, 'trace_an': 0}
  • id: 250869025
    {'hecke_orbit_code': 90071992648074041, 'n': 26, 'trace_an': 12001}
  • id: 250869026
    {'hecke_orbit_code': 90071992648074041, 'n': 27, 'trace_an': -7290}
  • id: 250869027
    {'hecke_orbit_code': 90071992648074041, 'n': 28, 'trace_an': -14452}
  • id: 250869028
    {'hecke_orbit_code': 90071992648074041, 'n': 29, 'trace_an': 5824}
  • id: 250869029
    {'hecke_orbit_code': 90071992648074041, 'n': 30, 'trace_an': 0}
  • id: 250869030
    {'hecke_orbit_code': 90071992648074041, 'n': 31, 'trace_an': -4586}
  • id: 250869031
    {'hecke_orbit_code': 90071992648074041, 'n': 32, 'trace_an': 10627}
  • id: 250869032
    {'hecke_orbit_code': 90071992648074041, 'n': 33, 'trace_an': -10890}
  • id: 250869033
    {'hecke_orbit_code': 90071992648074041, 'n': 34, 'trace_an': 7426}
  • id: 250869034
    {'hecke_orbit_code': 90071992648074041, 'n': 35, 'trace_an': 0}
  • id: 250869035
    {'hecke_orbit_code': 90071992648074041, 'n': 36, 'trace_an': 18063}
  • id: 250869036
    {'hecke_orbit_code': 90071992648074041, 'n': 37, 'trace_an': 18362}
  • id: 250869037
    {'hecke_orbit_code': 90071992648074041, 'n': 38, 'trace_an': -44001}
  • id: 250869038
    {'hecke_orbit_code': 90071992648074041, 'n': 39, 'trace_an': -9918}
  • id: 250869039
    {'hecke_orbit_code': 90071992648074041, 'n': 40, 'trace_an': 0}
  • id: 250869040
    {'hecke_orbit_code': 90071992648074041, 'n': 41, 'trace_an': -5474}
  • id: 250869041
    {'hecke_orbit_code': 90071992648074041, 'n': 42, 'trace_an': -6156}
  • id: 250869042
    {'hecke_orbit_code': 90071992648074041, 'n': 43, 'trace_an': -20496}
  • id: 250869043
    {'hecke_orbit_code': 90071992648074041, 'n': 44, 'trace_an': 26983}
  • id: 250869044
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  • id: 250869045
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  • id: 250869046
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  • id: 250869047
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  • id: 250869048
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  • id: 250869049
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  • id: 250869050
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  • id: 250869051
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  • id: 250869052
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  • id: 250869053
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  • id: 250869054
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  • id: 250869055
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  • id: 250869056
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  • id: 250869057
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  • id: 250869058
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  • id: 250869059
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  • id: 250869060
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  • id: 250869061
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  • id: 250869062
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  • id: 250869063
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  • id: 250869064
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  • id: 250869065
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  • id: 250869066
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  • id: 250869067
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  • id: 250869068
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  • id: 250869069
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  • id: 250869070
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  • id: 250869071
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  • id: 250869072
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  • id: 250869073
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  • id: 250869074
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  • id: 250869075
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  • id: 250869076
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  • id: 250869077
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  • id: 250869078
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  • id: 250869079
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  • id: 250869080
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  • id: 250869081
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  • id: 250869082
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  • id: 250869083
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  • id: 250869084
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  • id: 250869085
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  • id: 250869086
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  • id: 250869087
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  • id: 250869088
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  • id: 250869089
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  • id: 250869090
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  • id: 250869091
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  • id: 250869092
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  • id: 250869093
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  • id: 250869094
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  • id: 250869095
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  • id: 250869096
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  • id: 250869097
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  • id: 250869098
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  • id: 250869099
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  • id: 250869102
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  • id: 250869104
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  • id: 250869106
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  • id: 250869108
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  • id: 250869110
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  • id: 250869111
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  • id: 250869112
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  • id: 250869113
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  • id: 250869114
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  • id: 250869115
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  • id: 250869116
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  • id: 250869117
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  • id: 250869118
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  • id: 250869119
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  • id: 250869120
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  • id: 250869121
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  • id: 250869122
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  • id: 250869123
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  • id: 250869124
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  • id: 250869125
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  • id: 250869126
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  • id: 250869127
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  • id: 250869128
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  • id: 250869129
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  • id: 250869130
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  • id: 250869131
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  • id: 250869132
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  • id: 250869133
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  • id: 250869134
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  • id: 250869135
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  • id: 250869136
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  • id: 250869137
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  • id: 250869138
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  • id: 250869139
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  • id: 250869140
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  • id: 250869141
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  • id: 250869142
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  • id: 250869143
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  • id: 250869144
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  • id: 250869145
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  • id: 250869146
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  • id: 250869147
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  • id: 250869148
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  • id: 250869149
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  • id: 250869150
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  • id: 250869151
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  • id: 250869152
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  • id: 250869153
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  • id: 250869154
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  • id: 250869155
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  • id: 250869156
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  • id: 250869157
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  • id: 250869158
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  • id: 250869159
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  • id: 250869160
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  • id: 250869161
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  • id: 250869162
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  • id: 250869163
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  • id: 250869164
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  • id: 250869165
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  • id: 250869166
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  • id: 250869167
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  • id: 250869168
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  • id: 250869169
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  • id: 250869170
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  • id: 250869171
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  • id: 250869172
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  • id: 250869173
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  • id: 250869174
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  • id: 250869175
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  • id: 250869176
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  • id: 250869177
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  • id: 250869178
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  • id: 250869179
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  • id: 250869180
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  • id: 250869181
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  • id: 250869182
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  • id: 250869183
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  • id: 250869184
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  • id: 250869185
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  • id: 250869186
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  • id: 250869187
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  • id: 250869188
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  • id: 250869189
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  • id: 250869190
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  • id: 250869191
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  • id: 250869192
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  • id: 250869193
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  • id: 250869194
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  • id: 250869195
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  • id: 250869196
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  • id: 250869197
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  • id: 250869198
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  • id: 250869201
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  • id: 250869202
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  • id: 250869203
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  • id: 250869204
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  • id: 250869206
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    {'hecke_orbit_code': 90071992648074041, 'n': 982, 'trace_an': -146286173}
  • id: 250869982
    {'hecke_orbit_code': 90071992648074041, 'n': 983, 'trace_an': 23174314}
  • id: 250869983
    {'hecke_orbit_code': 90071992648074041, 'n': 984, 'trace_an': -19059876}
  • id: 250869984
    {'hecke_orbit_code': 90071992648074041, 'n': 985, 'trace_an': 0}
  • id: 250869985
    {'hecke_orbit_code': 90071992648074041, 'n': 986, 'trace_an': -123499912}
  • id: 250869986
    {'hecke_orbit_code': 90071992648074041, 'n': 987, 'trace_an': 20676942}
  • id: 250869987
    {'hecke_orbit_code': 90071992648074041, 'n': 988, 'trace_an': 112407741}
  • id: 250869988
    {'hecke_orbit_code': 90071992648074041, 'n': 989, 'trace_an': 35517956}
  • id: 250869989
    {'hecke_orbit_code': 90071992648074041, 'n': 990, 'trace_an': 0}
  • id: 250869990
    {'hecke_orbit_code': 90071992648074041, 'n': 991, 'trace_an': 72284910}
  • id: 250869991
    {'hecke_orbit_code': 90071992648074041, 'n': 992, 'trace_an': 102104927}
  • id: 250869992
    {'hecke_orbit_code': 90071992648074041, 'n': 993, 'trace_an': -1496988}
  • id: 250869993
    {'hecke_orbit_code': 90071992648074041, 'n': 994, 'trace_an': 47449484}
  • id: 250869994
    {'hecke_orbit_code': 90071992648074041, 'n': 995, 'trace_an': 0}
  • id: 250869995
    {'hecke_orbit_code': 90071992648074041, 'n': 996, 'trace_an': 168175485}
  • id: 250869996
    {'hecke_orbit_code': 90071992648074041, 'n': 997, 'trace_an': 90294600}
  • id: 250869997
    {'hecke_orbit_code': 90071992648074041, 'n': 998, 'trace_an': 65991528}
  • id: 250869998
    {'hecke_orbit_code': 90071992648074041, 'n': 999, 'trace_an': -13385898}
  • id: 250869999
    {'hecke_orbit_code': 90071992648074041, 'n': 1000, 'trace_an': 0}