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{'Nk2': 16020, 'analytic_conductor': 31.980086009522793, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [89, -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': [4005, 1, [3116, 802, 181], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 12, 'field_disc': 450140829449026204480, 'field_disc_factorization': [[2, 6], [5, 1], [997, 1], [15443, 1], [91363262359, 1]], 'field_poly': [-27, 77, 94, -368, 4, 432, -95, -202, 58, 41, -13, -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, [-27, -77, 94, 368, 4, -432, -95, 202, 58, -41, -13, 3, 1]], [7, [1, 126, 3552, 1290, -5022, -2426, 2030, 1206, -195, -184, -8, 8, 1]], [11, [-10048, 50336, -54688, -22664, 46144, 2504, -12884, -160, 1460, 6, -68, 0, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580968357, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4005.2.a.u', 'level': 4005, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 89], 'level_radical': 1335, 'minimal_twist': '4005.2.a.u', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+q^{5}+(-1-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4005.2.a', 'trace_display': 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{'AL_dims': [[[[3, -1], [5, -1], [89, 1]], 21, 3], [[[3, 1], [5, -1], [89, 1]], 17, 1], [[[3, -1], [5, -1], [89, -1]], 23, 5], [[[3, -1], [5, 1], [89, 1]], 23, 5], [[[3, 1], [5, 1], [89, -1]], 17, 1], [[[3, 1], [5, -1], [89, -1]], 13, 2], [[[3, 1], [5, 1], [89, 1]], 13, 2], [[[3, -1], [5, 1], [89, -1]], 21, 5]], 'ALdims': [13, 17, 17, 13, 23, 21, 21, 23], 'Nk2': 16020, 'analytic_conductor': 31.980086009522793, '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': [4005, 1, [3116, 802, 181], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 533, 'dim': 148, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558437, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 6, 7, 8, 9, 10, 10, 10, 12, 12, 17, 17], 'label': '4005.2.a', 'level': 4005, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': 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mf_twists_cc • Show schema
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id: 48319296
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580968357, 'source_is_minimal': True, 'source_label': '4005.2.a.u.1.4', 'source_level': 4005, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90071992580968357, 'target_is_minimal': True, 'target_label': '4005.2.a.u.1.4', 'target_level': 4005, 'twist_class_label': '4005.2.a.u.1.4', 'twist_class_level': 4005, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48319297
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580968357, 'source_is_minimal': True, 'source_label': '4005.2.a.u.1.4', 'source_level': 4005, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 94575592208338853, 'target_is_minimal': True, 'target_label': '4005.2.a.v.1.9', 'target_level': 4005, 'twist_class_label': '4005.2.a.u.1.4', 'twist_class_level': 4005, '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: 3469500
{'charpoly_factorization': [[[-27, -77, 94, 368, 4, -432, -95, 202, 58, -41, -13, 3, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 2}
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id: 3469501
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 90071992580968357, 'p': 3}
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id: 3469502
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 90071992580968357, 'p': 5}
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id: 3469503
{'charpoly_factorization': [[[1, 126, 3552, 1290, -5022, -2426, 2030, 1206, -195, -184, -8, 8, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 7}
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id: 3469504
{'charpoly_factorization': [[[-10048, 50336, -54688, -22664, 46144, 2504, -12884, -160, 1460, 6, -68, 0, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 11}
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id: 3469505
{'charpoly_factorization': [[[-31873, 99624, 95906, -221884, -252774, -32790, 37898, 10600, -1373, -674, -18, 12, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 13}
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id: 3469506
{'charpoly_factorization': [[[58983, -100136, -243058, 95434, 133910, -19024, -25308, 1310, 2083, -28, -76, 0, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 17}
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id: 3469507
{'charpoly_factorization': [[[454464, -1645600, -4834656, -2274328, 471376, 528264, 69548, -27592, -8604, -312, 166, 24, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 19}
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id: 3469508
{'charpoly_factorization': [[[-2752, -23840, -60512, -8744, 129648, 92520, -33344, -42560, -11812, -818, 138, 24, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 23}
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id: 3469509
{'charpoly_factorization': [[[-1493855, -245860, 3441018, -634264, -1028466, 301966, 81788, -36260, 165, 1222, -108, -8, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 29}
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id: 3469510
{'charpoly_factorization': [[[4248896, -8133152, -37341152, 16684248, 8125320, -3435152, -425880, 163972, 14356, -2506, -208, 12, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 31}
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id: 3469511
{'charpoly_factorization': [[[-99145229, 557821112, -431885722, 50556820, 34901726, -5972948, -1254046, 187082, 24927, -2342, -256, 10, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 37}
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id: 3469512
{'charpoly_factorization': [[[193162729, -258217038, -12255938, 77096892, 5586362, -5705570, -504052, 170584, 16345, -2202, -218, 10, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 41}
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id: 3469513
{'charpoly_factorization': [[[-175243, -7745812, -16802082, -1964154, 5120094, 1291796, -348232, -146716, -6091, 3652, 642, 42, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 43}
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id: 3469514
{'charpoly_factorization': [[[14807017, 79165830, 53486882, -13957556, -14887438, -1085428, 854802, 126480, -14147, -3246, -20, 22, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 47}
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id: 3469515
{'charpoly_factorization': [[[147487831, -539460664, 533192882, -163103722, -14373966, 13759900, -881280, -325348, 32779, 2794, -326, -8, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 53}
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id: 3469516
{'charpoly_factorization': [[[-52606196469, -45546737348, -8132126036, 1616347152, 472959594, -17165032, -9749804, 554, 98259, 950, -494, -4, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 59}
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id: 3469517
{'charpoly_factorization': [[[-3118592, -15702400, 21714624, 34228104, -4028112, -16910456, -7229444, -1277176, -83296, 3932, 930, 52, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 61}
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id: 3469518
{'charpoly_factorization': [[[-3839515968, -6317931616, -3619183328, -666414760, 125272032, 68220616, 8113812, -303720, -131428, -7038, 316, 40, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 67}
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id: 3469519
{'charpoly_factorization': [[[-11944534080, -7335020000, 108317952, 851558856, 128802472, -19723584, -4711752, 147116, 65620, -74, -414, -2, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 71}
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id: 3469520
{'charpoly_factorization': [[[91641792, -37402336, -532992896, -538625064, -184106240, -17278816, 3471808, 849588, 32548, -5318, -412, 8, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 73}
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id: 3469521
{'charpoly_factorization': [[[-2475897617, -564201412, 877705088, 159047358, -69650950, -12728018, 2008064, 411814, -18781, -5648, -56, 26, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 79}
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id: 3469522
{'charpoly_factorization': [[[407362496, -507324448, -187629216, 165496296, 27565664, -14869464, -1568352, 440996, 34448, -4626, -334, 14, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 83}
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id: 3469523
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 90071992580968357, 'p': 89}
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id: 3469524
{'charpoly_factorization': [[[41939735616, -59297914464, -4152229600, 6550844408, 692103288, -151471120, -17642616, 1354488, 170212, -5022, -698, 6, 1], 1]], 'hecke_orbit_code': 90071992580968357, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '4005.2.a.u', 'level': 4005, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 249268000
{'hecke_orbit_code': 90071992580968357, 'n': 1, 'trace_an': 12}
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id: 249268001
{'hecke_orbit_code': 90071992580968357, 'n': 2, 'trace_an': -3}
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id: 249268002
{'hecke_orbit_code': 90071992580968357, 'n': 3, 'trace_an': 0}
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id: 249268003
{'hecke_orbit_code': 90071992580968357, 'n': 4, 'trace_an': 11}
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id: 249268004
{'hecke_orbit_code': 90071992580968357, 'n': 5, 'trace_an': 12}
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id: 249268005
{'hecke_orbit_code': 90071992580968357, 'n': 6, 'trace_an': 0}
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id: 249268006
{'hecke_orbit_code': 90071992580968357, 'n': 7, 'trace_an': -8}
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id: 249268007
{'hecke_orbit_code': 90071992580968357, 'n': 8, 'trace_an': -9}
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id: 249268008
{'hecke_orbit_code': 90071992580968357, 'n': 9, 'trace_an': 0}
-
id: 249268009
{'hecke_orbit_code': 90071992580968357, 'n': 10, 'trace_an': -3}
-
id: 249268010
{'hecke_orbit_code': 90071992580968357, 'n': 11, 'trace_an': 0}
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id: 249268011
{'hecke_orbit_code': 90071992580968357, 'n': 12, 'trace_an': 0}
-
id: 249268012
{'hecke_orbit_code': 90071992580968357, 'n': 13, 'trace_an': -12}
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id: 249268013
{'hecke_orbit_code': 90071992580968357, 'n': 14, 'trace_an': 4}
-
id: 249268014
{'hecke_orbit_code': 90071992580968357, 'n': 15, 'trace_an': 0}
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id: 249268015
{'hecke_orbit_code': 90071992580968357, 'n': 16, 'trace_an': 1}
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id: 249268016
{'hecke_orbit_code': 90071992580968357, 'n': 17, 'trace_an': 0}
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id: 249268017
{'hecke_orbit_code': 90071992580968357, 'n': 18, 'trace_an': 0}
-
id: 249268018
{'hecke_orbit_code': 90071992580968357, 'n': 19, 'trace_an': -24}
-
id: 249268019
{'hecke_orbit_code': 90071992580968357, 'n': 20, 'trace_an': 11}
-
id: 249268020
{'hecke_orbit_code': 90071992580968357, 'n': 21, 'trace_an': 0}
-
id: 249268021
{'hecke_orbit_code': 90071992580968357, 'n': 22, 'trace_an': -16}
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id: 249268022
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