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mf_newforms • Show schema
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{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 79, 'char_orbit_label': 'da', 'char_order': 6, 'char_parity': 1, 'char_values': [1040, 6, [911, 261, 417, 561], [6, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 641, 'conrey_indexes': [641, 881], 'dim': 8, 'field_disc': 22581504, 'field_disc_factorization': [[2, 8], [3, 6], [11, 2]], 'field_poly': [16, -32, 20, 4, -11, 2, 5, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 10, 106, -56, 55, -8, 10, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9012559407481872, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 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mf_hecke_cc • Show schema
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-0.10984343554910193, 'embedding_root_real': 1.4099412823471658, 'hecke_orbit': 3, 'hecke_orbit_code': 9012559407481872, 'label': '1040.2.da.c.881.1', 'level': 1040, 'weight': 2}
-
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{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 79, 'char_orbit_label': 'da', 'char_order': 6, 'char_parity': 1, 'char_values': [1040, 6, [911, 261, 417, 561], [6, 6, 6, 1]], 'conrey_index': 641, 'cusp_dim': 312, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 5360152740880, 'hecke_orbit_dims': [4, 8, 8, 8, 12, 16], 'label': '1040.2.da', 'level': 1040, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 360, 'mf_new_dim': 56, 'num_forms': 6, 'prim_orbit_index': 5, 'relative_dim': 28, 'sturm_bound': 336, 'trace_bound': 7, 'trace_display': [0, 4, 0, -12], 'traces': [56, 0, 4, 0, 0, 0, -12, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -56, 0, -56, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 20, 0, 0, 0, 4, 0, 0, 0, 0, 0, 40, 0, 24, 0, -16, 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mf_twists_cc • Show schema
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id: 42518045
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9012559407481872, 'target_is_minimal': False, 'target_label': '1040.2.da.c.881.1', 'target_level': 1040, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42518046
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 101, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1580581519620, 'target_is_minimal': True, 'target_label': '260.2.x.a.101.4', 'target_level': 260, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42518047
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13516777510144292, 'target_is_minimal': False, 'target_label': '2340.2.dj.d.361.1', 'target_level': 2340, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42518048
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 641, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9012559407481872, 'target_is_minimal': False, 'target_label': '1040.2.da.c.641.1', 'target_level': 1040, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 42518049
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505386367321364, 'target_is_minimal': False, 'target_label': '1300.2.ba.b.49.2', 'target_level': 1300, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42518050
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008985994691860, 'target_is_minimal': False, 'target_label': '1300.2.ba.c.49.3', 'target_level': 1300, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42518051
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 101, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505248928367892, 'target_is_minimal': False, 'target_label': '1300.2.y.b.101.1', 'target_level': 1300, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 42518052
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 3041, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029140649905460, 'target_is_minimal': False, 'target_label': '3380.2.f.i.3041.2', 'target_level': 3380, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '52.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42518053
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444115252, 'target_is_minimal': False, 'target_label': '3380.2.a.p.1.1', 'target_level': 3380, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '52.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42518054
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071485748, 'target_is_minimal': False, 'target_label': '3380.2.a.q.1.1', 'target_level': 3380, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '52.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 42518055
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 3041, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140649905460, 'target_is_minimal': False, 'target_label': '3380.2.f.i.3041.1', 'target_level': 3380, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '52.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42518056
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 121, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1580581519620, 'target_is_minimal': True, 'target_label': '260.2.x.a.121.4', 'target_level': 260, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '52.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 42518057
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13516777510144292, 'target_is_minimal': False, 'target_label': '2340.2.dj.d.901.3', 'target_level': 2340, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '156.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 42518058
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 849, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008985994691860, 'target_is_minimal': False, 'target_label': '1300.2.ba.c.849.3', 'target_level': 1300, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '260.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 42518059
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 849, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505386367321364, 'target_is_minimal': False, 'target_label': '1300.2.ba.b.849.2', 'target_level': 1300, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '260.147', 'twisting_conrey_index': 147, 'weight': 2}
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id: 42518060
{'conductor': 260, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 881, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9012559407481872, 'source_is_minimal': False, 'source_label': '1040.2.da.c.881.1', 'source_level': 1040, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505248928367892, 'target_is_minimal': False, 'target_label': '1300.2.y.b.901.1', 'target_level': 1300, 'twist_class_label': '260.2.x.a.101.4', 'twist_class_level': 260, 'twisting_char_label': '260.199', 'twisting_conrey_index': 199, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1624925
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9012559407481872, 'p': 2}
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id: 1624926
{'charpoly_factorization': [[[1, 10, 106, -56, 55, -8, 10, -2, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 3}
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id: 1624927
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 9012559407481872, 'p': 5}
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id: 1624928
{'charpoly_factorization': [[[9, 54, 126, 108, 3, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 7}
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id: 1624929
{'charpoly_factorization': [[[3, 3, 1], 4]], 'hecke_orbit_code': 9012559407481872, 'p': 11}
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id: 1624930
{'charpoly_factorization': [[[28561, 17576, 2704, -520, -290, -40, 16, 8, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 13}
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id: 1624931
{'charpoly_factorization': [[[729, -1458, 2430, -1296, 675, 0, 54, -6, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 17}
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id: 1624932
{'charpoly_factorization': [[[1089, 0, -990, 0, 867, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 19}
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id: 1624933
{'charpoly_factorization': [[[9, -90, 846, -576, 507, 48, 54, -6, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 23}
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id: 1624934
{'charpoly_factorization': [[[1521, -3744, 7578, -4032, 1803, -192, 42, 0, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 29}
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id: 1624935
{'charpoly_factorization': [[[2112, 0, 96, 0, 1], 2]], 'hecke_orbit_code': 9012559407481872, 'p': 31}
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id: 1624936
{'charpoly_factorization': [[[42849, -108054, 109458, -46980, 7263, 540, -78, -6, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 37}
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id: 1624937
{'charpoly_factorization': [[[1089, 198, -21, -6, 1], 2]], 'hecke_orbit_code': 9012559407481872, 'p': 41}
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id: 1624938
{'charpoly_factorization': [[[5031049, 2050102, 687358, 105184, 15739, 1168, 166, 10, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 43}
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id: 1624939
{'charpoly_factorization': [[[12, 0, 1], 4]], 'hecke_orbit_code': 9012559407481872, 'p': 47}
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id: 1624940
{'charpoly_factorization': [[[-624, 1920, -156, -12, 1], 2]], 'hecke_orbit_code': 9012559407481872, 'p': 53}
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id: 1624941
{'charpoly_factorization': [[[558009, -752976, 352134, -18144, -6993, 432, 174, -24, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 59}
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id: 1624942
{'charpoly_factorization': [[[942841, 625324, 315694, 73456, 13951, 880, 118, 4, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 61}
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id: 1624943
{'charpoly_factorization': [[[1083681, -2079918, 1661706, -635364, 136047, -17172, 1290, -54, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 67}
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id: 1624944
{'charpoly_factorization': [[[45198729, -23960772, 4355046, -64152, -35721, 648, 414, -36, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 71}
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id: 1624945
{'charpoly_factorization': [[[2509056, 0, 494208, 0, 21168, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 73}
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id: 1624946
{'charpoly_factorization': [[[-368, 1504, -180, -8, 1], 2]], 'hecke_orbit_code': 9012559407481872, 'p': 79}
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id: 1624947
{'charpoly_factorization': [[[331776, 0, 1603584, 0, 63936, 0, 480, 0, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 83}
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id: 1624948
{'charpoly_factorization': [[[13689, -67392, 108486, 10368, -4401, -432, 174, 24, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 89}
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id: 1624949
{'charpoly_factorization': [[[12981609, 9663246, 2592270, 144828, -20301, -1620, 246, 30, 1], 1]], 'hecke_orbit_code': 9012559407481872, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 79, 'hecke_orbit': 3, 'label': '1040.2.da.c', 'level': 1040, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 125462000
{'hecke_orbit_code': 9012559407481872, 'n': 1, 'trace_an': 8}
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id: 125462001
{'hecke_orbit_code': 9012559407481872, 'n': 2, 'trace_an': 0}
-
id: 125462002
{'hecke_orbit_code': 9012559407481872, 'n': 3, 'trace_an': 2}
-
id: 125462003
{'hecke_orbit_code': 9012559407481872, 'n': 4, 'trace_an': 0}
-
id: 125462004
{'hecke_orbit_code': 9012559407481872, 'n': 5, 'trace_an': 0}
-
id: 125462005
{'hecke_orbit_code': 9012559407481872, 'n': 6, 'trace_an': 0}
-
id: 125462006
{'hecke_orbit_code': 9012559407481872, 'n': 7, 'trace_an': -6}
-
id: 125462007
{'hecke_orbit_code': 9012559407481872, 'n': 8, 'trace_an': 0}
-
id: 125462008
{'hecke_orbit_code': 9012559407481872, 'n': 9, 'trace_an': -4}
-
id: 125462009
{'hecke_orbit_code': 9012559407481872, 'n': 10, 'trace_an': 0}
-
id: 125462010
{'hecke_orbit_code': 9012559407481872, 'n': 11, 'trace_an': -12}
-
id: 125462011
{'hecke_orbit_code': 9012559407481872, 'n': 12, 'trace_an': 0}
-
id: 125462012
{'hecke_orbit_code': 9012559407481872, 'n': 13, 'trace_an': -8}
-
id: 125462013
{'hecke_orbit_code': 9012559407481872, 'n': 14, 'trace_an': 0}
-
id: 125462014
{'hecke_orbit_code': 9012559407481872, 'n': 15, 'trace_an': 6}
-
id: 125462015
{'hecke_orbit_code': 9012559407481872, 'n': 16, 'trace_an': 0}
-
id: 125462016
{'hecke_orbit_code': 9012559407481872, 'n': 17, 'trace_an': 6}
-
id: 125462017
{'hecke_orbit_code': 9012559407481872, 'n': 18, 'trace_an': 0}
-
id: 125462018
{'hecke_orbit_code': 9012559407481872, 'n': 19, 'trace_an': 0}
-
id: 125462019
{'hecke_orbit_code': 9012559407481872, 'n': 20, 'trace_an': 0}
-
id: 125462020
{'hecke_orbit_code': 9012559407481872, 'n': 21, 'trace_an': 0}
-
id: 125462021
{'hecke_orbit_code': 9012559407481872, 'n': 22, 'trace_an': 0}
-
id: 125462022
{'hecke_orbit_code': 9012559407481872, 'n': 23, 'trace_an': 6}
-
id: 125462023
{'hecke_orbit_code': 9012559407481872, 'n': 24, 'trace_an': 0}
-
id: 125462024
{'hecke_orbit_code': 9012559407481872, 'n': 25, 'trace_an': -8}
-
id: 125462025
{'hecke_orbit_code': 9012559407481872, 'n': 26, 'trace_an': 0}
-
id: 125462026
{'hecke_orbit_code': 9012559407481872, 'n': 27, 'trace_an': -4}
-
id: 125462027
{'hecke_orbit_code': 9012559407481872, 'n': 28, 'trace_an': 0}
-
id: 125462028
{'hecke_orbit_code': 9012559407481872, 'n': 29, 'trace_an': 0}
-
id: 125462029
{'hecke_orbit_code': 9012559407481872, 'n': 30, 'trace_an': 0}
-
id: 125462030
{'hecke_orbit_code': 9012559407481872, 'n': 31, 'trace_an': 0}
-
id: 125462031
{'hecke_orbit_code': 9012559407481872, 'n': 32, 'trace_an': 0}
-
id: 125462032
{'hecke_orbit_code': 9012559407481872, 'n': 33, 'trace_an': -6}
-
id: 125462033
{'hecke_orbit_code': 9012559407481872, 'n': 34, 'trace_an': 0}
-
id: 125462034
{'hecke_orbit_code': 9012559407481872, 'n': 35, 'trace_an': 6}
-
id: 125462035
{'hecke_orbit_code': 9012559407481872, 'n': 36, 'trace_an': 0}
-
id: 125462036
{'hecke_orbit_code': 9012559407481872, 'n': 37, 'trace_an': 6}
-
id: 125462037
{'hecke_orbit_code': 9012559407481872, 'n': 38, 'trace_an': 0}
-
id: 125462038
{'hecke_orbit_code': 9012559407481872, 'n': 39, 'trace_an': 4}
-
id: 125462039
{'hecke_orbit_code': 9012559407481872, 'n': 40, 'trace_an': 0}
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id: 125462040
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