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{'Nk2': 32004, 'analytic_conductor': 63.88830665722644, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 16, 'field_disc': 3925253247562629319229522462576, 'field_disc_factorization': [[2, 4], [331, 1], [1049, 1], [479041, 1], [1474930415904160909, 1]], 'field_poly': [4, -148, 416, 1002, -3341, -158, 5821, -2747, -3082, 2282, 565, -712, 9, 98, -13, -5, 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, [4, 148, 416, -1002, -3341, 158, 5821, 2747, -3082, -2282, 565, 712, 9, -98, -13, 5, 1]], [5, [-27136, 208768, -344128, -359328, 542544, 232104, -316420, -73336, 91364, 12600, -14371, -1185, 1249, 56, -56, -1, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698860865, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], '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': '8001.2.a.r', 'level': 8001, '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, 7, 127], 'level_radical': 2667, 'minimal_twist': '2667.2.a.o', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{13}q^{5}-q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8001.2.a', 'trace_display': [-5, 0, 1, -16], 'trace_hash': 1309034681367187629, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.951', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '528.790', 'prec': 24}, {'__RealLiteral__': 0, 'data': '62.045', 'prec': 20}, {'__RealLiteral__': 0, 'data': '36287.289', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [16, -5, 0, 19, 1, 0, -16, -6, 0, -12, -11, 0, 18, 5, 0, 25, 5, 0, -11, 1, 0, 1, -13, 0, 33, -8, 0, -19, -24, 0, -42, -42, 0, 9, -1, 0, 40, -38, 0, -61, -9, 0, 7, -3, 0, 24, -31, 0, 16, -6, 0, 52, -66, 0, -36, 6, 0, 19, 7, 0, 6, -52, 0, 10, -51, 0, 16, -14, 0, 12, -46, 0, 39, -72, 0, 24, 11, 0, 4, 2, 0, -18, -15, 0, -4, -14, 0, 58, 1, 0, -18, -26, 0, 5, -44, 0, 41, -5, 0, 65, -26, 0, -32, -56, 0, 42, 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mf_hecke_cc • Show schema
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-0.25244939296269076, -0.2533971895692736], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 11, 'dual_embedding_m': 11, 'embedding_index': 11, 'embedding_m': 11, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.415886220308468, 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698860865, 'label': '8001.2.a.r.1.11', 'level': 8001, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [32, 30, 40, 22, 47, 48, 43, 52], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [91, 100, 92, 102, 85, 76, 79, 78], 'Nk2': 32004, 'analytic_conductor': 63.88830665722644, '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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1017, 'dim': 314, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33562433, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 12, 13, 14, 15, 16, 16, 16, 18, 19, 20, 22, 28, 32, 40], 'label': '8001.2.a', 'level': 8001, '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, 7, 127], 'level_radical': 2667, 'mf_dim': 1032, 'mf_new_dim': 314, 'num_forms': 27, 'plus_dim': 145, 'prim_orbit_index': 1, 'relative_dim': 314, 'sturm_bound': 2048, 'trace_bound': 5, 'trace_display': [0, 0, -4, 0], 'traces': [314, 0, 0, 320, -4, 0, 0, 0, 0, 4, 16, 0, -8, 0, 0, 332, -4, 0, 4, 4, 0, -28, -4, 0, 290, -40, 0, 0, 0, 0, 12, -30, 0, -26, 8, 0, -16, 6, 0, -32, -8, 0, -8, 38, 0, 16, 36, 0, 314, 32, 0, -30, 16, 0, -8, 0, 0, 20, 20, 0, 12, -62, 0, 332, -36, 0, -8, 72, 0, 28, 52, 0, -64, -38, 0, -24, 0, 0, 16, -20, 0, -24, 16, 0, 28, 24, 0, -10, -32, 0, -4, -52, 0, 40, -44, 0, -108, 0, 0, 344, -12, 0, -48, -90, 0, 28, 84, 0, 8, 64, 0, 32, 16, 0, -68, -40, 0, -32, -4, 0, 302, 74, 0, 0, -24, 0, -10, 24, 0, 36, 16, 0, 24, 44, 0, 88, 20, 0, -20, 20, 0, 150, -56, 0, 8, -148, 0, 56, 52, 0, -48, 28, 0, 0, 112, 0, -68, 180, 0, -112, 16, 0, -84, 2, 0, 24, 4, 0, 354, -28, 0, -48, -44, 0, 16, 188, 0, 12, 12, 0, 36, -36, 0, 108, 20, 0, -68, 162, 0, -68, -20, 0, 20, 88, 0, 320, 24, 0, -56, -8, 0, -92, 24, 0, -4, -144, 0, -32, 120, 0, -56, -16, 0, 14, 60, 0, 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mf_twists_cc • Show schema
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id: 48119828
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 11, 'source_hecke_orbit_code': 76561193698860865, 'source_is_minimal': False, 'source_label': '8001.2.a.r.1.11', 'source_level': 8001, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 76561193698860865, 'target_is_minimal': False, 'target_label': '8001.2.a.r.1.11', 'target_level': 8001, 'twist_class_label': '2667.2.a.o.1.6', 'twist_class_level': 2667, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48119829
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 11, 'source_hecke_orbit_code': 76561193698860865, 'source_is_minimal': False, 'source_label': '8001.2.a.r.1.11', 'source_level': 8001, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 63050394816744043, 'target_is_minimal': True, 'target_label': '2667.2.a.o.1.6', 'target_level': 2667, 'twist_class_label': '2667.2.a.o.1.6', 'twist_class_level': 2667, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4632650
{'charpoly_factorization': [[[4, 148, 416, -1002, -3341, 158, 5821, 2747, -3082, -2282, 565, 712, 9, -98, -13, 5, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 2}
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id: 4632651
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 76561193698860865, 'p': 3}
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id: 4632652
{'charpoly_factorization': [[[-27136, 208768, -344128, -359328, 542544, 232104, -316420, -73336, 91364, 12600, -14371, -1185, 1249, 56, -56, -1, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 5}
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id: 4632653
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 76561193698860865, 'p': 7}
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id: 4632654
{'charpoly_factorization': [[[-1179648, -8364032, -22375424, -26521856, -9532800, 7245280, 6803293, 563202, -1042308, -269445, 56472, 24672, -428, -888, -49, 11, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 11}
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id: 4632655
{'charpoly_factorization': [[[-61239104, 348343936, -665531472, 451956448, 14462820, -139088560, 38601569, 11317384, -6109748, 24926, 352702, -39214, -7668, 1562, 11, -18, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 13}
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id: 4632656
{'charpoly_factorization': [[[939096, -10373798, -26553199, 87531428, -57680354, -9307050, 21989368, -5624087, -1463057, 802361, -19265, -37776, 4040, 735, -114, -5, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 17}
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id: 4632657
{'charpoly_factorization': [[[-18205664, 15264728, 123230100, -60135700, -207031320, -17673676, 69330555, 19474268, -4946635, -2164370, 67805, 91651, 3733, -1673, -123, 11, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 19}
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id: 4632658
{'charpoly_factorization': [[[885006336, -1962362368, -1118563072, 2777301760, 313746112, -913579808, -6053312, 107080624, 606292, -6061328, -157913, 176098, 8415, -2467, -160, 13, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 23}
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id: 4632659
{'charpoly_factorization': [[[24336668672, 30142906848, -1675831296, -14148060280, -3258186392, 2040741606, 777392167, -76283362, -59428567, -2286180, 1852743, 193194, -21848, -3818, 8, 24, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 29}
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id: 4632660
{'charpoly_factorization': [[[63774720, -1312400896, -7038464, 1855853920, 368632800, -719197446, -283400427, 62123044, 51515713, 7050827, -1320819, -489813, -44073, 1767, 607, 42, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 31}
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id: 4632661
{'charpoly_factorization': [[[39421737428, 16074547284, -29627325635, -3650308220, 8468827733, -594178683, -1007814474, 201275717, 42779044, -16317356, 420032, 422797, -58414, 285, 501, -40, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 37}
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id: 4632662
{'charpoly_factorization': [[[16289945096, -109425368814, 217123192233, -177296209815, 51942179735, 6696670185, -5960829549, 313892087, 240883799, -20351754, -5147630, 389089, 62205, -3119, -394, 9, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 41}
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id: 4632663
{'charpoly_factorization': [[[41489887232, -53869608960, -36774800640, 22134681728, 11927863680, -2601630528, -1537015488, 104851432, 92592520, -70456, -2766767, -77508, 41667, 1377, -316, -7, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 43}
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id: 4632664
{'charpoly_factorization': [[[14109523968, -30299066368, -33986376960, 3164929536, 11794207764, 2863572924, -773849045, -399684257, -19556301, 15292602, 2623371, -75363, -53211, -3574, 189, 31, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 47}
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id: 4632665
{'charpoly_factorization': [[[-443170186752, -198052307872, 180696190064, 90189284672, -22818806676, -15575563488, 237147455, 1212752963, 149147211, -33614746, -9659696, -441631, 129116, 23588, 1773, 66, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 53}
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id: 4632666
{'charpoly_factorization': [[[-219737088000, -817016531200, -115227370560, 541342008032, 210192647744, -27816997840, -18737338236, 44197692, 636875872, 17854814, -10941509, -358776, 102525, 2687, -502, -7, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 59}
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id: 4632667
{'charpoly_factorization': [[[15419695152, -212813119120, -2157107564908, -1220842778620, 395438644656, 157308999934, -33128608399, -6127236110, 1167671429, 105369281, -19556025, -890269, 163141, 3687, -653, -6, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 61}
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id: 4632668
{'charpoly_factorization': [[[-50604450816, 193133407232, -247299779008, 110799151040, 14638741344, -28178676856, 7638415596, 108089952, -357518480, 43117500, 3374847, -907845, 14546, 6558, -306, -16, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 67}
-
id: 4632669
{'charpoly_factorization': [[[-2604300724224, -7249584983600, -3969393459372, 112042350264, 534372442048, 93373365606, -15672151733, -5714371015, -136758927, 116652514, 11885530, -654560, -160392, -4937, 560, 46, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 71}
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id: 4632670
{'charpoly_factorization': [[[46641155536, 367052382272, 779015258676, 290292803332, -115683460368, -43532024354, 10695446287, 1833399094, -497705244, -22264297, 11027730, -243078, -107646, 7072, 281, -39, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 73}
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id: 4632671
{'charpoly_factorization': [[[39713124416832, 11089903363052, -15081977537019, -1657557199771, 1706545980887, 95697788325, -85213170864, -2868804422, 2161910264, 49041167, -29285144, -466929, 210272, 2238, -741, -4, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 79}
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id: 4632672
{'charpoly_factorization': [[[-18683904000, 38940646400, 75696966400, -204808792064, 116589277056, -3303822368, -11940754880, 1586639184, 446546488, -68554214, -8306099, 1088798, 89974, -6910, -490, 15, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 83}
-
id: 4632673
{'charpoly_factorization': [[[105203797590016, 20680234328064, -43079673319424, -9039760123904, 4118312159488, 639431130144, -185680676064, -16700652224, 4241871120, 189800364, -49704225, -971602, 299739, 2006, -881, -1, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 89}
-
id: 4632674
{'charpoly_factorization': [[[-14259174215040, -98902237775904, 60806973383424, 5580530925120, -6759049954608, 91741479912, 271376308011, -12990835198, -5008586671, 345604532, 44081956, -3991473, -154480, 21068, -53, -41, 1], 1]], 'hecke_orbit_code': 76561193698860865, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '8001.2.a.r', 'level': 8001, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62542789
{'hecke_orbit_code': 76561193698860865, 'n': 1, 'trace_an': 16}
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id: 62542790
{'hecke_orbit_code': 76561193698860865, 'n': 2, 'trace_an': -5}
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id: 62542791
{'hecke_orbit_code': 76561193698860865, 'n': 3, 'trace_an': 0}
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id: 62542792
{'hecke_orbit_code': 76561193698860865, 'n': 4, 'trace_an': 19}
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id: 62542793
{'hecke_orbit_code': 76561193698860865, 'n': 5, 'trace_an': 1}
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id: 62542794
{'hecke_orbit_code': 76561193698860865, 'n': 6, 'trace_an': 0}
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id: 62542795
{'hecke_orbit_code': 76561193698860865, 'n': 7, 'trace_an': -16}
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id: 62542796
{'hecke_orbit_code': 76561193698860865, 'n': 8, 'trace_an': -6}
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id: 62542797
{'hecke_orbit_code': 76561193698860865, 'n': 9, 'trace_an': 0}
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id: 62542798
{'hecke_orbit_code': 76561193698860865, 'n': 10, 'trace_an': -12}
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id: 62542799
{'hecke_orbit_code': 76561193698860865, 'n': 11, 'trace_an': -11}
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id: 62542800
{'hecke_orbit_code': 76561193698860865, 'n': 12, 'trace_an': 0}
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id: 62542801
{'hecke_orbit_code': 76561193698860865, 'n': 13, 'trace_an': 18}
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id: 62542802
{'hecke_orbit_code': 76561193698860865, 'n': 14, 'trace_an': 5}
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id: 62542803
{'hecke_orbit_code': 76561193698860865, 'n': 15, 'trace_an': 0}
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id: 62542804
{'hecke_orbit_code': 76561193698860865, 'n': 16, 'trace_an': 25}
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id: 62542805
{'hecke_orbit_code': 76561193698860865, 'n': 17, 'trace_an': 5}
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