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{'Nk2': 15484, 'analytic_conductor': 30.910090622437636, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [79, -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': [3871, 1, [2845, 1030], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 88489995689, 'field_disc_factorization': [[88489995689, 1]], 'field_poly': [1, 8, 6, -40, 6, 24, -7, -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, [1, 8, 6, -40, 6, 24, -7, -3, 1]], [3, [-4, -9, 31, 55, 3, -26, -7, 3, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543040287, 'hecke_ring_generator_nbound': 3, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3871.2.a.e', 'level': 3871, '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': [7, 79], 'level_radical': 553, 'minimal_twist': '553.2.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{6}q^{3}+(\\beta _{1}+\\beta _{2}-\\beta _{3}+\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3871.2.a', 'trace_display': [3, -3, -4, 0], 'trace_hash': 1745314199457609113, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '125.266', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3320.676', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [8, 3, -3, 7, -4, -6, 0, 6, -1, -10, 3, -10, -3, 0, 11, 13, -14, 4, -12, -12, 0, -15, 17, -14, -6, 13, 6, 0, -6, 17, -15, 5, -2, 2, 0, -33, -2, -19, 6, 13, -8, 0, 9, 7, -5, -24, -34, 9, 0, -3, -11, -17, 2, 10, -16, 0, 6, -14, -21, -14, -11, 15, 0, -16, -5, 18, 14, -7, 8, 0, -2, -18, -7, -8, -28, 23, 0, -8, 8, -6, -28, 10, -32, 0, -9, -6, -43, -48, -6, -1, 0, -3, -12, -33, -15, 9, 39, 0, -25, -9, 6, -23, -28, 18, 0, -56, 27, 27, -21, -8, 31, 0, -14, 12, 32, -30, 25, 13, 0, -25, -7, -59, -24, 27, 15, 0, 21, -1, -11, -51, -29, 48, 0, 5, 12, -49, -16, 15, 13, 0, -12, 18, -47, -19, 12, 2, 0, -45, 32, 7, -39, -40, 30, 0, -12, -19, -20, 3, -14, 23, 0, -20, 16, -17, -6, 9, 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'label': '3871.2.a.e.1.8', 'level': 3871, 'weight': 2}
-
mf_newspaces • Show schema
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{'ALdims': [56, 76, 75, 60], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4], 'ALdims_old': [26, 25, 26, 21], 'Nk2': 15484, 'analytic_conductor': 30.910090622437636, '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': [3871, 1, [2845, 1030], [1, 1]], 'conrey_index': 1, 'cusp_dim': 365, 'dim': 267, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33558303, 'hecke_orbit_dims': [1, 2, 5, 7, 8, 11, 13, 14, 24, 26, 26, 26, 26, 28, 50], 'label': '3871.2.a', 'level': 3871, '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': [7, 79], 'level_radical': 553, 'mf_dim': 380, 'mf_new_dim': 267, 'num_forms': 15, 'plus_dim': 116, 'prim_orbit_index': 1, 'relative_dim': 267, 'sturm_bound': 746, 'trace_bound': 5, 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mf_twists_cc • Show schema
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id: 43929589
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 18014398543040287, 'source_is_minimal': False, 'source_label': '3871.2.a.e.1.8', 'source_level': 3871, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014398543040287, 'target_is_minimal': False, 'target_label': '3871.2.a.e.1.8', 'target_level': 3871, 'twist_class_label': '553.2.a.b.1.8', 'twist_class_level': 553, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43929590
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 18014398543040287, 'source_is_minimal': False, 'source_label': '3871.2.a.e.1.8', 'source_level': 3871, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4503599660925481, 'target_is_minimal': True, 'target_label': '553.2.a.b.1.8', 'target_level': 553, 'twist_class_label': '553.2.a.b.1.8', 'twist_class_level': 553, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43929591
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 18014398543040287, 'source_is_minimal': False, 'source_label': '3871.2.a.e.1.8', 'source_level': 3871, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679893873, 'target_is_minimal': False, 'target_label': '4977.2.a.j.1.1', 'target_level': 4977, 'twist_class_label': '553.2.a.b.1.8', 'twist_class_level': 553, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 43929592
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 18014398543040287, 'source_is_minimal': False, 'source_label': '3871.2.a.e.1.8', 'source_level': 3871, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326232208, 'target_is_minimal': False, 'target_label': '8848.2.a.s.1.3', 'target_level': 8848, 'twist_class_label': '553.2.a.b.1.8', 'twist_class_level': 553, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3403850
{'charpoly_factorization': [[[1, 8, 6, -40, 6, 24, -7, -3, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 2}
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id: 3403851
{'charpoly_factorization': [[[-4, -9, 31, 55, 3, -26, -7, 3, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 3}
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id: 3403852
{'charpoly_factorization': [[[18, -63, 14, 96, -11, -49, -9, 4, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 5}
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id: 3403853
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014398543040287, 'p': 7}
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id: 3403854
{'charpoly_factorization': [[[32, -849, 1936, -1430, 214, 136, -36, -3, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 11}
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id: 3403855
{'charpoly_factorization': [[[-3566, -6281, -778, 1925, 483, -155, -45, 3, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 13}
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id: 3403856
{'charpoly_factorization': [[[-1864, -6841, -9682, -6606, -2166, -231, 46, 14, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 17}
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id: 3403857
{'charpoly_factorization': [[[1782, 10863, 13943, 3324, -1124, -438, 0, 12, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 19}
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id: 3403858
{'charpoly_factorization': [[[1108, -1985, 174, 1235, -505, -103, 91, -17, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 23}
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id: 3403859
{'charpoly_factorization': [[[-4534, -4461, 11602, 14134, 3111, -695, -127, 6, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 29}
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id: 3403860
{'charpoly_factorization': [[[235834, -107745, -93991, 46524, 2581, -1688, -90, 15, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 31}
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id: 3403861
{'charpoly_factorization': [[[-3726, -38727, -34817, 1921, 3911, -97, -117, 2, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 37}
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id: 3403862
{'charpoly_factorization': [[[-17944, -2939, 13425, 5035, -1559, -928, -86, 8, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 41}
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id: 3403863
{'charpoly_factorization': [[[-2708, 121077, 5159, -24650, 1787, 1066, -112, -9, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 43}
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id: 3403864
{'charpoly_factorization': [[[-591912, -857217, -459253, -109525, -7581, 1738, 418, 34, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 47}
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id: 3403865
{'charpoly_factorization': [[[-4669922, 3620997, -594027, -111489, 27481, 910, -306, -2, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 53}
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id: 3403866
{'charpoly_factorization': [[[973944, 1756539, 899810, 126094, -12826, -3692, -74, 21, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 59}
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id: 3403867
{'charpoly_factorization': [[[-1340704, -1087307, 309438, 273929, 19180, -3570, -305, 11, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 61}
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id: 3403868
{'charpoly_factorization': [[[19248472, 6649869, -763825, -293766, 20766, 3808, -264, -14, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 67}
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id: 3403869
{'charpoly_factorization': [[[-1296, -16551, -52204, 2290, 4870, -143, -126, 2, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 71}
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id: 3403870
{'charpoly_factorization': [[[2229818, -877155, -322731, 88413, 18041, -1665, -265, 7, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 73}
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id: 3403871
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 18014398543040287, 'p': 79}
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id: 3403872
{'charpoly_factorization': [[[435826, 383899, -147421, -136698, -27707, -1016, 277, 32, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 83}
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id: 3403873
{'charpoly_factorization': [[[-7218, 66147, -63215, 6082, 7319, -824, -187, 6, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 89}
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id: 3403874
{'charpoly_factorization': [[[-139626, 725295, -483961, 110916, -2236, -3193, 562, -39, 1], 1]], 'hecke_orbit_code': 18014398543040287, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '3871.2.a.e', 'level': 3871, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 38572267
{'hecke_orbit_code': 18014398543040287, 'n': 1, 'trace_an': 8}
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id: 38572268
{'hecke_orbit_code': 18014398543040287, 'n': 2, 'trace_an': 3}
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id: 38572269
{'hecke_orbit_code': 18014398543040287, 'n': 3, 'trace_an': -3}
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id: 38572270
{'hecke_orbit_code': 18014398543040287, 'n': 4, 'trace_an': 7}
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id: 38572271
{'hecke_orbit_code': 18014398543040287, 'n': 5, 'trace_an': -4}
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id: 38572272
{'hecke_orbit_code': 18014398543040287, 'n': 6, 'trace_an': -6}
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id: 38572273
{'hecke_orbit_code': 18014398543040287, 'n': 7, 'trace_an': 0}
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id: 38572274
{'hecke_orbit_code': 18014398543040287, 'n': 8, 'trace_an': 6}
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id: 38572275
{'hecke_orbit_code': 18014398543040287, 'n': 9, 'trace_an': -1}
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id: 38572276
{'hecke_orbit_code': 18014398543040287, 'n': 10, 'trace_an': -10}
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id: 38572277
{'hecke_orbit_code': 18014398543040287, 'n': 11, 'trace_an': 3}
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id: 38572278
{'hecke_orbit_code': 18014398543040287, 'n': 12, 'trace_an': -10}
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