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{'Nk2': 24684, 'analytic_conductor': 49.275683087332126, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [11, 1], [17, -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': [6171, 1, [4115, 970, 2179], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 20, 'field_disc': 151842135107578202385298542273003906250000, 'field_disc_factorization': [[2, 4], [5, 12], [71, 1], [93557507254219, 1], [5851878177430661, 1]], 'field_poly': [16, 264, 356, -7302, -1511, 31131, -2295, -53060, 10780, 45502, -12084, -21860, 6496, 6124, -1923, -989, 320, 85, -28, -3, 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, [16, 264, 356, -7302, -1511, 31131, -2295, -53060, 10780, 45502, -12084, -21860, 6496, 6124, -1923, -989, 320, 85, -28, -3, 1]], [5, [-119809, 264889, 855437, -1694058, -2131088, 3709519, 2238930, -3610099, -1130555, 1814562, 270375, -508361, -21814, 81527, -2325, -7418, 583, 356, -41, -7, 1]], [7, [185657600, -255190400, -492833600, 522370400, 467516880, -392759520, -222055160, 150556060, 61054784, -33173344, -10486901, 4417047, 1166438, -359410, -83953, 17387, 3753, -457, -94, 5, 1]]], 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637862427, 'hecke_ring_generator_nbound': 7, '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': False, 'label': '6171.2.a.bs', 'level': 6171, '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': [3, 11, 17], 'level_radical': 561, 'minimal_twist': '561.2.m.e', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}-\\beta _{12}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': '6171.2.a', 'trace_display': [3, -20, 7, -5], 'trace_hash': 1861722641856309351, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.097', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.297', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.548', 'prec': 17}, {'__RealLiteral__': 0, 'data': '847.738', 'prec': 24}, {'__RealLiteral__': 0, 'data': '107.956', 'prec': 24}, {'__RealLiteral__': 0, 'data': '76494.525', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [20, 3, -20, 25, 7, -3, -5, 12, 20, 4, 0, -25, 8, 3, -7, 47, 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mf_hecke_cc • Show schema
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-0.4491403191852648, -0.27742822654553434, -0.18951498935158118, -0.3848662214669872, -0.37266383147571236, -0.23892239290494563, -0.13474985633443165, -0.20518237393240285, -0.2802150869321355, -0.258405082214674, -0.36703259335856286, -0.24641298403869766, -0.23475996632570947, -0.14596197503057015, -0.3677075708574157, -0.15699740030941375, -0.32571936293043874, -0.29691342608117643], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 20, 'dual_embedding_m': 20, 'embedding_index': 20, 'embedding_m': 20, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.780238089472507, 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637862427, 'label': '6171.2.a.bs.1.20', 'level': 6171, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [34, 42, 40, 30, 38, 30, 33, 43], 'Nk2': 24684, 'analytic_conductor': 49.275683087332126, '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': [6171, 1, [4115, 970, 2179], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 769, 'dim': 290, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 33560603, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 12, 12, 12, 12, 14, 14, 20, 20, 20, 20], 'label': '6171.2.a', 'level': 6171, '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': [3, 11, 17], 'level_radical': 561, 'mf_dim': 816, 'mf_new_dim': 290, 'num_forms': 45, 'plus_dim': 127, 'prim_orbit_index': 1, 'relative_dim': 290, 'sturm_bound': 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mf_twists_cc • Show schema
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id: 48988592
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 20, 'source_hecke_orbit_code': 198158383637862427, 'source_is_minimal': False, 'source_label': '6171.2.a.bs.1.20', 'source_level': 6171, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 20, 'target_hecke_orbit_code': 198158383637862427, 'target_is_minimal': False, 'target_label': '6171.2.a.bs.1.20', 'target_level': 6171, 'twist_class_label': '561.2.m.e.460.10', 'twist_class_level': 561, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48988593
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 20, 'source_hecke_orbit_code': 198158383637862427, 'source_is_minimal': False, 'source_label': '6171.2.a.bs.1.20', 'source_level': 6171, 'target_conrey_index': 460, 'target_dim': 40, 'target_embedding_index': 10, 'target_hecke_orbit_code': 18015223176757809, 'target_is_minimal': True, 'target_label': '561.2.m.e.460.10', 'target_level': 561, 'twist_class_label': '561.2.m.e.460.10', 'twist_class_level': 561, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48988594
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 20, 'source_hecke_orbit_code': 198158383637862427, 'source_is_minimal': False, 'source_label': '6171.2.a.bs.1.20', 'source_level': 6171, 'target_conrey_index': 511, 'target_dim': 40, 'target_embedding_index': 10, 'target_hecke_orbit_code': 18015223176757809, 'target_is_minimal': True, 'target_label': '561.2.m.e.511.10', 'target_level': 561, 'twist_class_label': '561.2.m.e.460.10', 'twist_class_level': 561, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48988595
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 20, 'source_hecke_orbit_code': 198158383637862427, 'source_is_minimal': False, 'source_label': '6171.2.a.bs.1.20', 'source_level': 6171, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755750939, 'target_is_minimal': False, 'target_label': '6171.2.a.bp.1.1', 'target_level': 6171, 'twist_class_label': '561.2.m.e.460.10', 'twist_class_level': 561, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4111575
{'charpoly_factorization': [[[16, 264, 356, -7302, -1511, 31131, -2295, -53060, 10780, 45502, -12084, -21860, 6496, 6124, -1923, -989, 320, 85, -28, -3, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 2}
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id: 4111576
{'charpoly_factorization': [[[1, 1], 20]], 'hecke_orbit_code': 198158383637862427, 'p': 3}
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id: 4111577
{'charpoly_factorization': [[[-119809, 264889, 855437, -1694058, -2131088, 3709519, 2238930, -3610099, -1130555, 1814562, 270375, -508361, -21814, 81527, -2325, -7418, 583, 356, -41, -7, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 5}
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id: 4111578
{'charpoly_factorization': [[[185657600, -255190400, -492833600, 522370400, 467516880, -392759520, -222055160, 150556060, 61054784, -33173344, -10486901, 4417047, 1166438, -359410, -83953, 17387, 3753, -457, -94, 5, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 7}
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id: 4111579
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 198158383637862427, 'p': 11}
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id: 4111580
{'charpoly_factorization': [[[8565341639, 15663129710, -19172076879, -34304373700, 7463721028, 19015237479, -1432237483, -4947489583, 260287962, 715056075, -44797402, -60642898, 4875931, 3031329, -293400, -86775, 9498, 1307, -155, -8, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 13}
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id: 4111581
{'charpoly_factorization': [[[-1, 1], 20]], 'hecke_orbit_code': 198158383637862427, 'p': 17}
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id: 4111582
{'charpoly_factorization': [[[-328714355, -1597208065, 515645651, 13312234362, 20092639820, 1451767149, -11389482821, -3255267733, 2519192839, 808142246, -292471572, -81511629, 20182726, 3993846, -817189, -100346, 18546, 1242, -216, -6, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 19}
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id: 4111583
{'charpoly_factorization': [[[-5293266399, 38613171102, -92182553620, 67653385091, 30051494941, -49302467513, 981332178, 12990836607, -1385110980, -1818683774, 195386895, 150500777, -10959678, -7452346, 207559, 210482, 2716, -2997, -129, 16, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 23}
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id: 4111584
{'charpoly_factorization': [[[-527759797059, -200723481240, 4149777408754, -3760680733118, -1092119255494, 1860850147572, -164316440663, -260161382298, 44913082503, 17419037022, -3683483505, -656002910, 153556967, 14663506, -3625047, -192644, 48746, 1366, -346, -4, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 29}
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id: 4111585
{'charpoly_factorization': [[[-896028031744, 3192893193856, -3295330591104, 100153969600, 1629293161328, -676154423008, -181736136144, 160522232444, -9639948584, -13606671002, 2716703815, 393251770, -154492499, 1540763, 3682483, -281329, -35802, 4919, 35, -27, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 31}
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id: 4111586
{'charpoly_factorization': [[[-410670520333056, 436508098453632, 80795676362560, -276320026165664, 107014881142576, 11267211271904, -16099653313808, 2555965759740, 595518114996, -218659702678, 4795114097, 6197137911, -714608224, -58342510, 15170841, -324580, -118122, 8498, 177, -36, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 37}
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id: 4111587
{'charpoly_factorization': [[[-1696923368100, -4016966500500, 3339981165265, 13932806665805, 5635481077951, -7598268768856, -5242914469885, 237598067570, 637593466207, 22836432388, -32437960352, -1566903046, 869388509, 38617995, -13248647, -461818, 115131, 2677, -530, -6, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 41}
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id: 4111588
{'charpoly_factorization': [[[-133114770616320, -220449124239360, 524754084461824, -148399455999232, -169873273680000, 109097249360784, -5067273666648, -12757888729896, 4068278386681, -258628982889, -96513453070, 19666553673, -292285522, -274882064, 25901649, 736575, -232632, 8815, 493, -46, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 43}
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id: 4111589
{'charpoly_factorization': [[[4310977536, 10562551296, -19657272320, -42152306944, 35390068928, 51884438592, -20649505232, -30501759760, 2551461592, 8701781342, 1214609253, -940852490, -308339794, -8230119, 7668512, 852554, -32913, -8638, -181, 24, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 47}
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id: 4111590
{'charpoly_factorization': [[[-65449988096, -1151615472640, -4670644309760, 4049567394304, 4490125205248, -1461696566176, -1295705979056, 160527027152, 159172495904, -5810290524, -9878653628, -56773414, 334712665, 8234822, -6445125, -190827, 70586, 1787, -412, -6, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 53}
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id: 4111591
{'charpoly_factorization': [[[14546273279744, 144890375454336, 37463124584768, -291755010816288, 134745458046480, 36613288609872, -26628073616920, -1776903071596, 2094674918920, 55828670380, -83239555567, -1464929142, 1830461439, 28185723, -23119297, -319318, 166405, 1819, -635, -4, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 59}
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id: 4111592
{'charpoly_factorization': [[[-77476506764544, -156370739478144, -20016306984128, 142907283743584, 110670978274640, 18379662281712, -9921149613232, -4084197872092, -812403816, 222761702414, 25569721239, -4771699128, -1032122584, 21672173, 17093161, 670824, -120166, -9749, 177, 38, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 61}
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id: 4111593
{'charpoly_factorization': [[[-26619824124, 411954547950, 796529525013, -3387610686756, -1978746795119, 2351125641142, 890144305023, -599369147252, -120397796364, 67980721960, 5373192197, -3465390013, -78615205, 88792228, -613932, -1193003, 30024, 8000, -304, -21, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 67}
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id: 4111594
{'charpoly_factorization': [[[13190174354555, 68671407981245, 107525495962539, 38579531877014, -36000555246897, -25501589259669, 1653363982016, 3722643683295, 122974730897, -253180873865, -11250395821, 9229030951, 328657743, -183667266, -5301980, 1976997, 57903, -10896, -377, 24, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 71}
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id: 4111595
{'charpoly_factorization': [[[990503103744, 82269593890176, 457830494233984, 710246195830528, 271004065220848, -154187931130112, -90260798921872, 10787210437988, 7773758422588, -204346545042, -273572799487, -516200579, 4883853774, 54694025, -48512987, -626681, 272517, 2924, -812, -5, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 73}
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id: 4111596
{'charpoly_factorization': [[[-4277692908544, -3877031895040, 11793531793152, 14410785616000, -5391867446080, -12248695322176, -2247053629968, 2728005956224, 1209162622976, 16963773636, -80145656168, -15865959866, -139097353, 281801854, 27760763, -723207, -253829, -10184, 487, 47, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 79}
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id: 4111597
{'charpoly_factorization': [[[-3262543617024, -19203030357504, -26277760526080, 3278242395392, 18139990858816, 282056678752, -4436436505296, -43142531216, 500218718284, 3945144482, -29548829797, -421654288, 946625324, 20692899, -16022206, -375836, 139829, 2598, -599, -6, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 83}
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id: 4111598
{'charpoly_factorization': [[[13424819010158336, -91498179234455424, 167203686585318976, -131918219791776544, 47591167459797168, -4444502839432016, -2034121196902704, 598005068681972, -16727755399356, -13580051714544, 1582242113187, 85909731036, -23876423211, 488132710, 143772720, -8090220, -310899, 32952, -160, -44, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 89}
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id: 4111599
{'charpoly_factorization': [[[-15540482467584, 18209919693696, 37813858512256, -12181371135104, -22735422334640, 3214171560848, 5226296986176, -741424252708, -535296579356, 101152149492, 20594007331, -5104845607, -301643598, 119284033, 224755, -1416130, 37658, 8299, -355, -19, 1], 1]], 'hecke_orbit_code': 198158383637862427, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 45, 'label': '6171.2.a.bs', 'level': 6171, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71067625
{'hecke_orbit_code': 198158383637862427, 'n': 1, 'trace_an': 20}
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id: 71067626
{'hecke_orbit_code': 198158383637862427, 'n': 2, 'trace_an': 3}
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id: 71067627
{'hecke_orbit_code': 198158383637862427, 'n': 3, 'trace_an': -20}
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id: 71067628
{'hecke_orbit_code': 198158383637862427, 'n': 4, 'trace_an': 25}
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id: 71067629
{'hecke_orbit_code': 198158383637862427, 'n': 5, 'trace_an': 7}
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id: 71067630
{'hecke_orbit_code': 198158383637862427, 'n': 6, 'trace_an': -3}
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id: 71067631
{'hecke_orbit_code': 198158383637862427, 'n': 7, 'trace_an': -5}
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id: 71067632
{'hecke_orbit_code': 198158383637862427, 'n': 8, 'trace_an': 12}
-
id: 71067633
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