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{'Nk2': 16072, 'analytic_conductor': 32.08389153215046, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [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': [4018, 1, [493, 785], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 10, 'field_disc': 1015723179114496, 'field_disc_factorization': [[2, 19], [257, 1], [7538281, 1]], 'field_poly': [14, -24, -104, 260, -69, -174, 75, 36, -17, -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': [[3, [36, 120, -148, -444, -2, 264, 41, -56, -12, 4, 1]], [5, [2, 16, -76, -380, -160, 340, 101, -76, -20, 4, 1]], [11, [-2104, 6960, 26288, 9456, -8350, -2468, 1010, 184, -54, -4, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010489778, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '4018.2.a.br', 'level': 4018, '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': [2, 7, 41], 'level_radical': 574, 'minimal_twist': '4018.2.a.br', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+\\beta _{3}q^{3}+q^{4}-\\beta _{2}q^{5}-\\beta _{3}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4018.2.a', 'trace_display': [-10, -4, -4, 0], 'trace_hash': 1145990927071396345, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.928', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '225.817', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9272.029', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [10, -10, -4, 10, -4, 4, 0, -10, 10, 4, 4, -4, -4, 0, 4, 10, -20, -10, 0, -4, 0, -4, 4, 4, 6, 4, -16, 0, -4, -4, 4, -10, -36, 20, 0, 10, -16, 0, 20, 4, -10, 0, -8, 4, -4, -4, -24, -4, 0, -6, 20, -4, -4, 16, -20, 0, -4, 4, 0, 4, 0, -4, 0, 10, -12, 36, 8, -20, 0, 0, 4, -10, 24, 16, -48, 0, 0, -20, 24, -4, -18, 10, -48, 0, 8, 8, -4, -4, -20, 4, 0, 4, 4, 24, -4, 4, -4, 0, 32, 6, 4, -20, -40, 4, 0, 4, 4, -16, 16, 20, -48, 0, -12, 4, 28, -4, -48, 0, 0, -4, 14, 0, 4, 4, -36, 0, 24, -10, 16, 12, -52, -36, 0, -8, 24, 20, 0, 0, 4, 0, 8, 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mf_newspaces • Show schema
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{'ALdims': [18, 16, 16, 19, 20, 14, 13, 22], 'Nk2': 16072, 'analytic_conductor': 32.08389153215046, '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': [4018, 1, [493, 785], [1, 1]], 'conrey_index': 1, 'cusp_dim': 573, 'dim': 138, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33558450, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 6, 6, 6, 6, 10, 10, 10, 10], 'label': '4018.2.a', 'level': 4018, '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': [2, 7, 41], 'level_radical': 574, 'mf_dim': 604, 'mf_new_dim': 138, 'num_forms': 47, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 138, 'sturm_bound': 1176, 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mf_twists_cc • Show schema
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id: 48974322
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 7, 'source_hecke_orbit_code': 193654784010489778, 'source_is_minimal': True, 'source_label': '4018.2.a.br.1.7', 'source_level': 4018, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 193654784010489778, 'target_is_minimal': True, 'target_label': '4018.2.a.br.1.7', 'target_level': 4018, 'twist_class_label': '4018.2.a.br.1.7', 'twist_class_level': 4018, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48974323
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 7, 'source_hecke_orbit_code': 193654784010489778, 'source_is_minimal': True, 'source_label': '4018.2.a.br.1.7', 'source_level': 4018, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 198158383637860274, 'target_is_minimal': True, 'target_label': '4018.2.a.bs.1.4', 'target_level': 4018, 'twist_class_label': '4018.2.a.br.1.7', 'twist_class_level': 4018, '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: 3473325
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 193654784010489778, 'p': 2}
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id: 3473326
{'charpoly_factorization': [[[36, 120, -148, -444, -2, 264, 41, -56, -12, 4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 3}
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id: 3473327
{'charpoly_factorization': [[[2, 16, -76, -380, -160, 340, 101, -76, -20, 4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 5}
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id: 3473328
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 193654784010489778, 'p': 7}
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id: 3473329
{'charpoly_factorization': [[[-2104, 6960, 26288, 9456, -8350, -2468, 1010, 184, -54, -4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 11}
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id: 3473330
{'charpoly_factorization': [[[16, -1696, 3776, 1488, -3348, 40, 768, -92, -46, 4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 13}
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id: 3473331
{'charpoly_factorization': [[[196, 4944, -115640, 19804, 33810, -800, -3435, -328, 100, 20, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 17}
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id: 3473332
{'charpoly_factorization': [[[17408, -33792, -301056, -337344, -72348, 17896, 5868, -220, -134, 0, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 19}
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id: 3473333
{'charpoly_factorization': [[[64, 0, -3040, -6208, -2492, 2080, 1584, 124, -76, -4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 23}
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id: 3473334
{'charpoly_factorization': [[[53074, -377212, 481774, 3112, -118728, 8480, 6503, -368, -136, 4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 29}
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id: 3473335
{'charpoly_factorization': [[[-35064, 176304, -276788, 139936, 3382, -18044, 2385, 608, -112, -4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 31}
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id: 3473336
{'charpoly_factorization': [[[1024, 3072, -17152, -20864, 11072, 13056, -700, -896, -12, 16, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 37}
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id: 3473337
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 193654784010489778, 'p': 41}
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id: 3473338
{'charpoly_factorization': [[[11188592, -24729056, 10397248, 1774808, -1211844, 43356, 28313, -1388, -274, 8, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 43}
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id: 3473339
{'charpoly_factorization': [[[14804368, -24754688, -5622832, 7223280, 2802076, 231008, -31076, -5308, -54, 24, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 47}
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id: 3473340
{'charpoly_factorization': [[[5222914, 11839452, 2600618, -2076356, -570334, 63504, 20735, -748, -262, 4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 53}
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id: 3473341
{'charpoly_factorization': [[[32, -58496, 569808, -26336, -132014, 2224, 9464, 124, -198, 0, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 59}
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id: 3473342
{'charpoly_factorization': [[[-4567934, -515848, 5399800, 185692, -529786, -6072, 17629, 36, -230, 0, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 61}
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id: 3473343
{'charpoly_factorization': [[[-1390336, -7887104, -257056, 1568080, -27262, -95804, 6094, 2044, -200, -8, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 67}
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id: 3473344
{'charpoly_factorization': [[[-192224, 2138688, 796304, -866304, -406540, 1972, 16529, 480, -226, -4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 71}
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id: 3473345
{'charpoly_factorization': [[[-13190272, -53257472, -49139200, 8151488, 3524408, -638080, -21316, 8000, -190, -24, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 73}
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id: 3473346
{'charpoly_factorization': [[[5358464, -16596608, -133024, 9988000, 1430952, -666000, -4919, 8264, -238, -24, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 79}
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id: 3473347
{'charpoly_factorization': [[[61592456, -30554560, -21535336, 8827552, 1689306, -310152, -62340, 868, 718, 48, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 83}
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id: 3473348
{'charpoly_factorization': [[[-4627391888, 2110180992, 105626056, -94492104, -2360848, 1539456, 54857, -9604, -426, 20, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 89}
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id: 3473349
{'charpoly_factorization': [[[-1767296, -16937216, 22648256, 5403872, -4063384, 134152, 81217, -1684, -514, 4, 1], 1]], 'hecke_orbit_code': 193654784010489778, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '4018.2.a.br', 'level': 4018, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70927531
{'hecke_orbit_code': 193654784010489778, 'n': 1, 'trace_an': 10}
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id: 70927532
{'hecke_orbit_code': 193654784010489778, 'n': 2, 'trace_an': -10}
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id: 70927533
{'hecke_orbit_code': 193654784010489778, 'n': 3, 'trace_an': -4}
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id: 70927534
{'hecke_orbit_code': 193654784010489778, 'n': 4, 'trace_an': 10}
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id: 70927535
{'hecke_orbit_code': 193654784010489778, 'n': 5, 'trace_an': -4}
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id: 70927536
{'hecke_orbit_code': 193654784010489778, 'n': 6, 'trace_an': 4}
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id: 70927537
{'hecke_orbit_code': 193654784010489778, 'n': 7, 'trace_an': 0}
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id: 70927538
{'hecke_orbit_code': 193654784010489778, 'n': 8, 'trace_an': -10}
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id: 70927539
{'hecke_orbit_code': 193654784010489778, 'n': 9, 'trace_an': 10}
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id: 70927540
{'hecke_orbit_code': 193654784010489778, 'n': 10, 'trace_an': 4}
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id: 70927541
{'hecke_orbit_code': 193654784010489778, 'n': 11, 'trace_an': 4}
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id: 70927542
{'hecke_orbit_code': 193654784010489778, 'n': 12, 'trace_an': -4}
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id: 70927543
{'hecke_orbit_code': 193654784010489778, 'n': 13, 'trace_an': -4}
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id: 70927544
{'hecke_orbit_code': 193654784010489778, 'n': 14, 'trace_an': 0}
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id: 70927545
{'hecke_orbit_code': 193654784010489778, 'n': 15, 'trace_an': 4}
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id: 70927546
{'hecke_orbit_code': 193654784010489778, 'n': 16, 'trace_an': 10}
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id: 70927547
{'hecke_orbit_code': 193654784010489778, 'n': 17, 'trace_an': -20}
-
id: 70927548
{'hecke_orbit_code': 193654784010489778, 'n': 18, 'trace_an': -10}
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