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{'Nk2': 8036, 'analytic_conductor': 16.04194576607523, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [41, 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': [2009, 1, [493, 785], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 20, 'field_disc': 1957484342080098798987043710414893350912, 'field_disc_factorization': [[2, 40], [137, 1], [239, 1], [42214567, 1], [1288005338662177, 1]], 'field_poly': [49, 42, -1179, -1972, 5690, 9524, -13352, -18446, 17721, 18080, -13797, -9852, 6449, 3090, -1820, -552, 302, 52, -27, -2, 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, [49, -42, -1179, 1972, 5690, -9524, -13352, 18446, 17721, -18080, -13797, 9852, 6449, -3090, -1820, 552, 302, -52, -27, 2, 1]], [3, [89, 4324, 9466, -27816, -58599, 54676, 133192, -33544, -141680, -7624, 78924, 17616, -23916, -8248, 3770, 1804, -236, -192, -6, 8, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953595865, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2009.2.a.t', 'level': 2009, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 41], 'level_radical': 287, 'minimal_twist': '2009.2.a.t', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-\\beta _{9}q^{3}+(1+\\beta _{2})q^{4}-\\beta _{18}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 20, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2009.2.a', 'trace_display': [-2, -8, -8, 0], 'trace_hash': 170258066820136961, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.297', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '735.113', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '59980.602', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [20, -2, -8, 18, -8, -12, 0, -6, 16, -16, 0, -6, -12, 0, 0, 14, -8, -18, -36, -24, 0, -8, -12, -36, 20, 22, -32, 0, 4, 28, -80, 6, 12, -48, 0, 26, 4, -12, -28, 4, -20, 0, 0, -20, -40, 8, -32, -16, 0, 6, -20, -36, 4, 50, -64, 0, -4, 0, -32, 20, -44, 8, 0, -30, -8, -32, -4, 48, 24, 0, 8, -8, -48, -38, -24, -84, 0, 30, -4, 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-
mf_newspaces • Show schema
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{'ALdims': [29, 37, 41, 29], 'Nk2': 8036, 'analytic_conductor': 16.04194576607523, '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': [2009, 1, [493, 785], [1, 1]], 'conrey_index': 1, 'cusp_dim': 189, 'dim': 136, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33556441, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 6, 7, 7, 17, 17, 20, 20], 'label': '2009.2.a', 'level': 2009, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 41], 'level_radical': 287, 'mf_dim': 204, 'mf_new_dim': 136, 'num_forms': 21, 'plus_dim': 58, 'prim_orbit_index': 1, 'relative_dim': 136, 'sturm_bound': 392, 'trace_bound': 3, 'trace_display': [-2, 0, 0, 0], 'traces': [136, -2, 0, 136, 0, 2, 0, -6, 132, 0, -6, -8, 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mf_twists_cc • Show schema
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id: 48247109
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 19, 'source_hecke_orbit_code': 85568392953595865, 'source_is_minimal': True, 'source_label': '2009.2.a.t.1.19', 'source_level': 2009, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 19, 'target_hecke_orbit_code': 85568392953595865, 'target_is_minimal': True, 'target_label': '2009.2.a.t.1.19', 'target_level': 2009, 'twist_class_label': '2009.2.a.t.1.19', 'twist_class_level': 2009, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48247110
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 19, 'source_hecke_orbit_code': 85568392953595865, 'source_is_minimal': True, 'source_label': '2009.2.a.t.1.19', 'source_level': 2009, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 19, 'target_hecke_orbit_code': 90071992580966361, 'target_is_minimal': True, 'target_label': '2009.2.a.u.1.19', 'target_level': 2009, 'twist_class_label': '2009.2.a.t.1.19', 'twist_class_level': 2009, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2362225
{'charpoly_factorization': [[[49, -42, -1179, 1972, 5690, -9524, -13352, 18446, 17721, -18080, -13797, 9852, 6449, -3090, -1820, 552, 302, -52, -27, 2, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 2}
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id: 2362226
{'charpoly_factorization': [[[89, 4324, 9466, -27816, -58599, 54676, 133192, -33544, -141680, -7624, 78924, 17616, -23916, -8248, 3770, 1804, -236, -192, -6, 8, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 3}
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id: 2362227
{'charpoly_factorization': [[[-40384, -421632, -1423584, -1250496, 2401392, 5163168, 1465128, -3393232, -2603364, 458560, 1023382, 154604, -170015, -55196, 12052, 6764, -105, -376, -28, 8, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 5}
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id: 2362228
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 85568392953595865, 'p': 7}
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id: 2362229
{'charpoly_factorization': [[[-77312, -285184, 1207680, 3724928, -3956992, -13662080, 3104872, 19595904, 2911912, -10661784, -3866226, 1764808, 870985, -124936, -84376, 4008, 4146, -48, -102, 0, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 11}
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id: 2362230
{'charpoly_factorization': [[[21455782873, 50872443784, 22706574938, -30050625892, -27503931548, 2633080544, 8815696148, 1166462096, -1350437096, -331191960, 112062800, 38451704, -4872647, -2429712, 72340, 86592, 2213, -1616, -98, 12, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 13}
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id: 2362231
{'charpoly_factorization': [[[202951601, 1338702264, -6088132646, 1919851616, 8661676826, -4032067420, -3916334128, 1886002744, 818641422, -374534532, -97455202, 38522864, 7238859, -2204556, -339656, 70592, 9687, -1180, -152, 8, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 17}
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id: 2362232
{'charpoly_factorization': [[[887123761, 2274486244, 17461188, -5055291208, -4827865639, 871020860, 3659296088, 1696253788, -329858742, -511121052, -116570080, 30887944, 19406802, 2299412, -576564, -200100, -16134, 1836, 470, 36, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 19}
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id: 2362233
{'charpoly_factorization': [[[1666581528929, -2003991230484, -826474827878, 1475186881164, 107573453277, -418511075336, 322731008, 63272928820, -787865248, -5744683312, 8582822, 326588232, 5849406, -11563848, -448416, 242960, 13956, -2708, -196, 12, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 23}
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id: 2362234
{'charpoly_factorization': [[[16555395476992, -30188063046656, 10963480769280, 10138663858304, -7955542503200, 42273747936, 1365513078696, -282997394336, -83123097744, 32255387984, 844880454, -1457125240, 86188149, 31928212, -3335404, -358768, 50617, 1960, -360, -4, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 29}
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id: 2362235
{'charpoly_factorization': [[[350103980608, 231813767680, -6657679013024, -9109018931456, 551266468096, 9463030631136, 9104246146744, 4486016358448, 1276873989736, 173134442856, -13977064668, -11323238964, -2289295215, -191558948, 11724138, 5379236, 734731, 58192, 2842, 80, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 31}
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id: 2362236
{'charpoly_factorization': [[[-196930033408, 1587659645952, -1784913676800, -725361716224, 1426022600608, 74731885056, -424157137504, -3763421792, 61842867657, 1641278292, -4542673740, -166140060, 182599762, 6661720, -4185982, -126912, 54169, 1152, -366, -4, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 37}
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id: 2362237
{'charpoly_factorization': [[[1, 1], 20]], 'hecke_orbit_code': 85568392953595865, 'p': 41}
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id: 2362238
{'charpoly_factorization': [[[-23554608983, 73128360008, 323139596704, 227392809580, -143098151052, -175690783328, 7021674846, 46604901284, 5648404174, -5668573436, -1144159230, 324999644, 86165653, -8136424, -2896014, 81876, 46655, -260, -354, 0, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 43}
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id: 2362239
{'charpoly_factorization': [[[37415328784, -207886882752, -290552057392, 366102368480, 629905530020, 60030291152, -262655667500, -103709515576, 25666456193, 20348602952, 1470284062, -1091474588, -205474322, 15136780, 6468032, 233552, -69205, -6348, 114, 32, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 47}
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id: 2362240
{'charpoly_factorization': [[[4993537019392, -2465213747712, -29540080612736, 22390723804544, 22728193279616, -32002912246720, 12766244150392, -947575158976, -679291214900, 163131091888, 5885242634, -5519318688, 279826537, 86073340, -8059496, -692072, 89821, 2728, -476, -4, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 53}
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id: 2362241
{'charpoly_factorization': [[[28531727785024, 5527480298240, -61350249364448, -18221927551104, 36759274645584, 16820284276544, -5796815557368, -4502616670272, -442552736724, 204075481440, 43871149558, -2292757060, -1245124223, -40535524, 15510852, 1218252, -76745, -10648, -28, 32, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 59}
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id: 2362242
{'charpoly_factorization': [[[1046452461632, 536990395136, -15586550657376, -1528157379712, 28586703277456, 5007987297312, -6698285651672, -1654593110928, 502843962196, 178869244424, -7707830274, -7791995364, -501106327, 125802632, 17688316, -306072, -177774, -7888, 430, 44, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 61}
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id: 2362243
{'charpoly_factorization': [[[30547158444608, -158631723301376, 266488386362528, -131804172802304, -71988013930608, 86016169903552, -13942007505112, -8814253789056, 2673543430836, 304124324224, -147799960214, -2826493008, 3577256689, -21078220, -43294640, 466752, 270265, -2416, -832, 4, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 67}
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id: 2362244
{'charpoly_factorization': [[[31205527187392, -1542124805297536, 4330716312054560, -4994502554767808, 2973696255083440, -917885545155904, 93885970102552, 26921320751600, -9281654593236, 555274716592, 168516367882, -27576308712, -521286303, 379465440, -13779976, -2411424, 158134, 7216, -658, -8, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 71}
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id: 2362245
{'charpoly_factorization': [[[-5651689536785984, 1668548482323584, 2237569053537568, -655472926563712, -352298390872528, 96946182210560, 30971368933704, -7308333500240, -1755872905388, 308429098288, 67503369842, -7150073504, -1721460151, 71895928, 26760692, 245792, -212078, -10312, 482, 48, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 73}
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id: 2362246
{'charpoly_factorization': [[[128543211633664, -791661396582400, 1360182233188864, -269186374389760, -580553973097984, 310227913952256, 3263115841408, -32676198282496, 5258674072256, 835621476608, -236552193376, -6656198464, 4549826512, -23994304, -47448248, 606032, 277304, -2800, -836, 4, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 79}
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id: 2362247
{'charpoly_factorization': [[[-117239252072775616, 6790167961923840, 97042423061130816, 30143521557683712, -9664565355023280, -4597924159854720, 205961568721584, 254496515520192, 7878924097432, -6941917355184, -444889076656, 102850653656, 8465300449, -848248824, -80113504, 3837120, 400694, -8824, -1008, 8, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 83}
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id: 2362248
{'charpoly_factorization': [[[208352362183502993, -363629396142515744, -61689324768505760, 176828040502655892, -12580575222374333, -17578961453183940, 930042930386248, 783255000465468, -17662417288546, -18749818115988, -48833371170, 255779292424, 5304308358, -2010137744, -66093066, 8955400, 366696, -20964, -972, 20, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 89}
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id: 2362249
{'charpoly_factorization': [[[-4019415774095911, -8539021102311760, 10125254451788670, 12449994457851684, 365534014866317, -1783024265605812, -199118138300936, 98525241676172, 13417333057100, -2758951721988, -400457192624, 43832826300, 6443074024, -411365896, -59422398, 2250132, 313116, -6604, -874, 8, 1], 1]], 'hecke_orbit_code': 85568392953595865, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '2009.2.a.t', 'level': 2009, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63586915
{'hecke_orbit_code': 85568392953595865, 'n': 1, 'trace_an': 20}
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id: 63586916
{'hecke_orbit_code': 85568392953595865, 'n': 2, 'trace_an': -2}
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id: 63586917
{'hecke_orbit_code': 85568392953595865, 'n': 3, 'trace_an': -8}
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id: 63586918
{'hecke_orbit_code': 85568392953595865, 'n': 4, 'trace_an': 18}
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id: 63586919
{'hecke_orbit_code': 85568392953595865, 'n': 5, 'trace_an': -8}
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id: 63586920
{'hecke_orbit_code': 85568392953595865, 'n': 6, 'trace_an': -12}
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id: 63586921
{'hecke_orbit_code': 85568392953595865, 'n': 7, 'trace_an': 0}
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id: 63586922
{'hecke_orbit_code': 85568392953595865, 'n': 8, 'trace_an': -6}
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id: 63586923
{'hecke_orbit_code': 85568392953595865, 'n': 9, 'trace_an': 16}
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id: 63586924
{'hecke_orbit_code': 85568392953595865, 'n': 10, 'trace_an': -16}
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id: 63586925
{'hecke_orbit_code': 85568392953595865, 'n': 11, 'trace_an': 0}
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id: 63586926
{'hecke_orbit_code': 85568392953595865, 'n': 12, 'trace_an': -6}
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id: 63586927
{'hecke_orbit_code': 85568392953595865, 'n': 13, 'trace_an': -12}
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id: 63586928
{'hecke_orbit_code': 85568392953595865, 'n': 14, 'trace_an': 0}
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id: 63586929
{'hecke_orbit_code': 85568392953595865, 'n': 15, 'trace_an': 0}
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id: 63586930
{'hecke_orbit_code': 85568392953595865, 'n': 16, 'trace_an': 14}
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id: 63586931
{'hecke_orbit_code': 85568392953595865, 'n': 17, 'trace_an': -8}
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id: 63586932
{'hecke_orbit_code': 85568392953595865, 'n': 18, 'trace_an': -18}
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id: 63586933
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