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mf_newforms • Show schema
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{'Nk2': 3556, 'analytic_conductor': 7.098700739691826, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [127, 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': [889, 1, [255, 638], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 16, 'field_disc': 121285089675762329140300815257, 'field_disc_factorization': [[19, 1], [47, 2], [3659, 1], [187111, 1], [4220815488235183, 1]], 'field_poly': [1, 1, -83, -280, 474, 1279, -1150, -1655, 1177, 957, -593, -275, 155, 38, -20, -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, [1, -1, -83, 280, 474, -1279, -1150, 1655, 1177, -957, -593, 275, 155, -38, -20, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [16, 15, 20, 12], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1], 'ALdims_old': [3, 7, 3, 7], 'Nk2': 3556, 'analytic_conductor': 7.098700739691826, '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': [889, 1, [255, 638], [1, 1]], 'conrey_index': 1, 'cusp_dim': 83, 'dim': 63, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555321, 'hecke_orbit_dims': [12, 15, 16, 20], 'label': '889.2.a', 'level': 889, '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': True, 'level_primes': [7, 127], 'level_radical': 889, 'mf_dim': 86, 'mf_new_dim': 63, 'num_forms': 4, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 63, 'sturm_bound': 170, 'trace_bound': 1, 'trace_display': [-1, -4, -6, 1], 'traces': [63, -1, -4, 59, -6, 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-24, 112, -20, -168, 64, -80, 24, -16, -400, 128, 226, -246, -100, -60, 344, 186, -228, -48, 128, -146, -9, -140, -250, -336, 174, 52, 8, -7, -272, 40, 136, -216, 232, -132, 119, 352, -390, -28, -331, 76, 186, 84, -192, 88, 140, -84, -236, -202, -100, 92, -300, 120, -222, 40, -78, 80, -12, -76, -616, -56, -46, -260, 80, -362, -82, 72, 10, -246, -232, -8, 338, -244, -224, -168, -260, -70, -36, 56, 144, 122, 244, -156, 188, 136, -132, -80, 100, -180, -202, -36, 46, -94, -146, 100, 76, 80, 208, -38, -280, 107, -226, 220, -266, 0, -24, -228, -209, -156, 12, 236, -76, -88, 52, -356, -80, 54, -276, -168, -42, 86, -112, 140, -84, 176, 32, 48, -502, -48, 48, 100, 460, -112, 24, 76, 104, -130, -132, 504, -4], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40111603
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007199288296313, 'source_is_minimal': True, 'source_label': '889.2.a.c.1.5', 'source_level': 889, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007199288296313, 'target_is_minimal': True, 'target_label': '889.2.a.c.1.5', 'target_level': 889, 'twist_class_label': '889.2.a.c.1.5', 'twist_class_level': 889, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40111604
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007199288296313, 'source_is_minimal': True, 'source_label': '889.2.a.c.1.5', 'source_level': 889, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 85568392953601857, 'target_is_minimal': False, 'target_label': '8001.2.a.t.1.12', 'target_level': 8001, 'twist_class_label': '889.2.a.c.1.5', 'twist_class_level': 889, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40111605
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007199288296313, 'source_is_minimal': True, 'source_label': '889.2.a.c.1.5', 'source_level': 889, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 45035996307265615, 'target_is_minimal': False, 'target_label': '6223.2.a.k.1.5', 'target_level': 6223, 'twist_class_label': '889.2.a.c.1.5', 'twist_class_level': 889, '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: 1455425
{'charpoly_factorization': [[[1, -1, -83, 280, 474, -1279, -1150, 1655, 1177, -957, -593, 275, 155, -38, -20, 2, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 2}
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id: 1455426
{'charpoly_factorization': [[[-16, -368, 2392, 5098, -4525, -10815, 2617, 9547, -32, -4206, -486, 950, 175, -102, -23, 4, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 3}
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id: 1455427
{'charpoly_factorization': [[[16, 184, 92, -3406, -4663, 13233, 18066, -12824, -21504, -223, 7523, 2135, -532, -273, -7, 9, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 5}
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id: 1455428
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 9007199288296313, 'p': 7}
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id: 1455429
{'charpoly_factorization': [[[-417463, 3453876, -4890377, -10632471, 8580746, 9620054, -2554535, -3416018, -78450, 494092, 96093, -21231, -8710, -563, 127, 22, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 11}
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id: 1455430
{'charpoly_factorization': [[[9972315, 44456121, 68885379, 34669992, -14684252, -18716919, -1195794, 3414846, 617394, -314125, -71893, 15670, 3891, -400, -101, 4, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 13}
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id: 1455431
{'charpoly_factorization': [[[22881193, -127487708, -189027016, 165982949, 400769219, 222118551, 14328251, -27320024, -8196701, 390984, 494484, 47312, -9260, -1809, 1, 18, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 17}
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id: 1455432
{'charpoly_factorization': [[[906809, -25499416, 32453570, 33534422, -45556324, -16234226, 19332413, 4783381, -3183335, -769833, 204744, 59290, -3287, -1751, -56, 15, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 19}
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id: 1455433
{'charpoly_factorization': [[[1853701360, -748320776, -2004986780, 720099710, 727691803, -205682974, -122742602, 25351519, 10827289, -1571325, -524223, 50912, 13906, -814, -188, 5, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 23}
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id: 1455434
{'charpoly_factorization': [[[8925976496, 23320445808, 16209314744, -295371266, -3929648815, -835790244, 324777535, 113342531, -10104526, -6387491, -31205, 177735, 8524, -2378, -168, 12, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 29}
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id: 1455435
{'charpoly_factorization': [[[713813, 43245292, -36879201, -1166623988, -332307795, 428282619, 131411798, -53539080, -18108144, 2578482, 1119579, -16797, -30548, -1864, 248, 32, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 31}
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id: 1455436
{'charpoly_factorization': [[[-5726959039, 35513683307, -54649415316, -6162548967, 18948149064, -599680907, -2023401835, 91517416, 102779604, -3926772, -2819583, 75206, 42522, -650, -328, 2, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 37}
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id: 1455437
{'charpoly_factorization': [[[19825104281, 66630794266, 76024909115, 29479897342, -5523628007, -7585034668, -1692477753, 241669271, 166915016, 22266705, -1615297, -738376, -62811, 2067, 698, 45, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 41}
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id: 1455438
{'charpoly_factorization': [[[-219978965872, 223969148376, 12096314108, -73182935122, 13360158699, 7462939342, -2080833947, -319901908, 124470758, 5409270, -3609001, -6953, 52518, -522, -369, 3, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 43}
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id: 1455439
{'charpoly_factorization': [[[49063403511, 40419022167, -72572388210, -14910084996, 22445732749, 4122522034, -2706946462, -658523530, 103910175, 40586699, 780789, -856580, -92898, 1387, 788, 49, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 47}
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id: 1455440
{'charpoly_factorization': [[[114032072912, -383764785576, 385717125760, -72376451796, -72211379599, 26882054279, 3784318232, -2203921994, -26555696, 71660412, -2164870, -1058843, 51113, 6958, -400, -16, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 53}
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id: 1455441
{'charpoly_factorization': [[[-58448663216, 137797908472, 345017393284, -125110417062, -112428613345, 18710440916, 13073423507, -333908077, -577745292, -21769814, 10929012, 822205, -81931, -9459, 77, 35, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 59}
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id: 1455442
{'charpoly_factorization': [[[-123057095311, 128263909368, 698618299855, -1107711472685, 405214040969, 22323340845, -31128166128, 1699324278, 905912369, -67774300, -13951967, 927525, 122146, -5360, -557, 11, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 61}
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id: 1455443
{'charpoly_factorization': [[[15509381648, 35007259120, -46707500984, -59085181934, 6000825861, 11351514590, -207075423, -880272930, 4759078, 33866686, -510151, -668507, 21819, 6073, -301, -17, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 67}
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id: 1455444
{'charpoly_factorization': [[[120439326815165, 86909851091416, -8001665506318, -25881402447621, -9556953355470, -1089088776512, 173004023146, 66341816167, 6475793641, -251785774, -112937112, -9687622, -156864, 31055, 2524, 81, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 71}
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id: 1455445
{'charpoly_factorization': [[[-145782520397, 126181266892, 1173459269368, 866120413554, -58046867196, -161682712504, -11710717518, 8587055612, 594844521, -186687435, -12085138, 1915022, 122342, -9018, -586, 15, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 73}
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id: 1455446
{'charpoly_factorization': [[[845588972425, -100426808457141, 26292877959958, 18455256702068, -3199910499259, -1120645248693, 132365790057, 32422541979, -2335430200, -508545617, 17369948, 4389858, -23912, -19389, -292, 34, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 79}
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id: 1455447
{'charpoly_factorization': [[[-3653038864, 40796521408, -31984608144, -106004834126, -1959097315, 42205527522, 4635252383, -3822765984, -728396318, 61632483, 21893349, 696166, -173325, -13847, 103, 39, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 83}
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id: 1455448
{'charpoly_factorization': [[[10200551550832, 25509130372024, 5224541800720, -6569852274968, -2267052626127, 279092882329, 174848212292, 7358226445, -3781844514, -351277874, 29078299, 4163337, -45150, -19583, -336, 32, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 89}
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id: 1455449
{'charpoly_factorization': [[[-269740302224, 51941075160, 376551165772, -141593628910, -120348358705, 76399136638, -6119655493, -3968609010, 716406141, 59307316, -18000751, -100598, 169570, -1511, -697, 4, 1], 1]], 'hecke_orbit_code': 9007199288296313, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '889.2.a.c', 'level': 889, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 26190331
{'hecke_orbit_code': 9007199288296313, 'n': 1, 'trace_an': 16}
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id: 26190332
{'hecke_orbit_code': 9007199288296313, 'n': 2, 'trace_an': -2}
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id: 26190333
{'hecke_orbit_code': 9007199288296313, 'n': 3, 'trace_an': -4}
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id: 26190334
{'hecke_orbit_code': 9007199288296313, 'n': 4, 'trace_an': 12}
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id: 26190335
{'hecke_orbit_code': 9007199288296313, 'n': 5, 'trace_an': -9}
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id: 26190336
{'hecke_orbit_code': 9007199288296313, 'n': 6, 'trace_an': -12}
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id: 26190337
{'hecke_orbit_code': 9007199288296313, 'n': 7, 'trace_an': -16}
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id: 26190338
{'hecke_orbit_code': 9007199288296313, 'n': 8, 'trace_an': -6}
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id: 26190339
{'hecke_orbit_code': 9007199288296313, 'n': 9, 'trace_an': 14}
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id: 26190340
{'hecke_orbit_code': 9007199288296313, 'n': 10, 'trace_an': -2}
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id: 26190341
{'hecke_orbit_code': 9007199288296313, 'n': 11, 'trace_an': -22}
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id: 26190342
{'hecke_orbit_code': 9007199288296313, 'n': 12, 'trace_an': -10}
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id: 26190343
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