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mf_newforms • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [585, 3, [326, 352, 496], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 406, 'dim': 6, 'field_disc': -591408, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [37, 2]], 'field_poly': [1, -3, 10, 1, 4, -1, 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': [[2, [4, 8, 16, 4, 4, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022216273068617, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '585.2.j.g', 'level': 585, '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, 5, 13], 'level_radical': 195, 'minimal_twist': '195.2.i.e', 'nf_label': '6.0.591408.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{5}q^{2}+(\\beta _{1}-\\beta _{3}-\\beta _{4}+\\beta _{5})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '585.2.j', 'trace_display': [0, 0, 6, 5], 'trace_hash': 1985468486679611262, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.717', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [585, 3, [326, 352, 496], [3, 3, 1]], 'conrey_index': 406, 'cusp_dim': 152, 'dim': 48, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 618508845641, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 6, 6, 10, 10], 'label': '585.2.j', 'level': 585, '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, 5, 13], 'level_radical': 195, 'mf_dim': 184, 'mf_new_dim': 48, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 168, 'trace_bound': 4, 'trace_display': [0, 0, 0, -6], 'traces': [48, 0, 0, -26, 0, 0, -6, 12, 0, -2, 8, 0, 8, -4, 0, -26, 6, 0, 8, 4, 0, -20, 18, 0, 48, 38, 0, -22, -12, 0, 8, -22, 0, 4, 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132, 232, 0, 38, -76, 0, -270, -136, 0, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45864979
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022216273068617, 'target_is_minimal': False, 'target_label': '585.2.j.g.406.3', 'target_level': 585, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45864980
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298850499, 'target_is_minimal': True, 'target_label': '195.2.i.e.16.1', 'target_level': 195, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45864981
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582892604853, 'target_is_minimal': False, 'target_label': '7605.2.a.bu.1.1', 'target_level': 7605, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45864982
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 451, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022216273068617, 'target_is_minimal': False, 'target_label': '585.2.j.g.451.3', 'target_level': 585, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45864983
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 202661983265234357, 'target_is_minimal': False, 'target_label': '7605.2.a.bt.1.3', 'target_level': 7605, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 45864984
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 874, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40534252105761743, 'target_is_minimal': False, 'target_label': '975.2.bb.j.874.6', 'target_level': 975, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45864985
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 874, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40534252105761743, 'target_is_minimal': False, 'target_label': '975.2.bb.j.874.1', 'target_level': 975, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45864986
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 601, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043745317815247, 'target_is_minimal': False, 'target_label': '975.2.i.m.601.3', 'target_level': 975, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45864987
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717819367, 'target_is_minimal': False, 'target_label': '2535.2.a.z.1.1', 'target_level': 2535, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '39.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45864988
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086391090448871, 'target_is_minimal': False, 'target_label': '2535.2.a.y.1.3', 'target_level': 2535, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45864989
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 61, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298850499, 'target_is_minimal': True, 'target_label': '195.2.i.e.61.1', 'target_level': 195, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 45864990
{'conductor': 195, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 451, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043745317815247, 'target_is_minimal': False, 'target_label': '975.2.i.m.451.3', 'target_level': 975, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '195.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 45864991
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 724, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40534252105761743, 'target_is_minimal': False, 'target_label': '975.2.bb.j.724.6', 'target_level': 975, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '195.113', 'twisting_conrey_index': 113, 'weight': 2}
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id: 45864992
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022216273068617, 'source_is_minimal': False, 'source_label': '585.2.j.g.406.3', 'source_level': 585, 'target_conrey_index': 724, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40534252105761743, 'target_is_minimal': False, 'target_label': '975.2.bb.j.724.1', 'target_level': 975, 'twist_class_label': '195.2.i.e.16.1', 'twist_class_level': 195, 'twisting_char_label': '195.152', 'twisting_conrey_index': 152, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1084700
{'charpoly_factorization': [[[4, 8, 16, 4, 4, 0, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 2}
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id: 1084701
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 27022216273068617, 'p': 3}
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id: 1084702
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 27022216273068617, 'p': 5}
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id: 1084703
{'charpoly_factorization': [[[4489, -871, 504, -69, 38, -5, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 7}
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id: 1084704
{'charpoly_factorization': [[[1024, -512, 384, 0, 32, -4, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 11}
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id: 1084705
{'charpoly_factorization': [[[2197, -507, 156, -47, 12, -3, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 13}
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id: 1084706
{'charpoly_factorization': [[[1156, 272, 200, 36, 24, 4, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 17}
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id: 1084707
{'charpoly_factorization': [[[5776, 3040, 1600, 152, 40, 0, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 19}
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id: 1084708
{'charpoly_factorization': [[[92416, -12160, 4032, -288, 104, -8, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 23}
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id: 1084709
{'charpoly_factorization': [[[2916, -972, 648, 0, 54, -6, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 29}
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id: 1084710
{'charpoly_factorization': [[[-109, -1, 9, 1], 2]], 'hecke_orbit_code': 27022216273068617, 'p': 31}
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id: 1084711
{'charpoly_factorization': [[[23104, 1824, 2272, -472, 184, -14, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 37}
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id: 1084712
{'charpoly_factorization': [[[45796, 25252, 9644, 1932, 282, 20, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 41}
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id: 1084713
{'charpoly_factorization': [[[11449, 4387, 3286, -829, 184, -15, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 43}
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id: 1084714
{'charpoly_factorization': [[[2, -4, 0, 1], 2]], 'hecke_orbit_code': 27022216273068617, 'p': 47}
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id: 1084715
{'charpoly_factorization': [[[-16, 32, -16, 1], 2]], 'hecke_orbit_code': 27022216273068617, 'p': 53}
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id: 1084716
{'charpoly_factorization': [[[940900, -98940, 20104, -920, 202, -10, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 59}
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id: 1084717
{'charpoly_factorization': [[[11881, 109, 982, 209, 82, 9, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 61}
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id: 1084718
{'charpoly_factorization': [[[61009, -10621, 4566, -21, 164, -11, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 67}
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id: 1084719
{'charpoly_factorization': [[[2116, -828, 508, -20, 34, -4, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 71}
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id: 1084720
{'charpoly_factorization': [[[103, 71, 15, 1], 2]], 'hecke_orbit_code': 27022216273068617, 'p': 73}
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id: 1084721
{'charpoly_factorization': [[[-67, 63, -17, 1], 2]], 'hecke_orbit_code': 27022216273068617, 'p': 79}
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id: 1084722
{'charpoly_factorization': [[[-8, -12, 2, 1], 2]], 'hecke_orbit_code': 27022216273068617, 'p': 83}
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id: 1084723
{'charpoly_factorization': [[[17956, -11524, 10344, 2160, 398, 22, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 89}
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id: 1084724
{'charpoly_factorization': [[[299209, 82597, 22254, 1245, 152, -1, 1], 1]], 'hecke_orbit_code': 27022216273068617, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 7, 'label': '585.2.j.g', 'level': 585, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47534155
{'hecke_orbit_code': 27022216273068617, 'n': 1, 'trace_an': 6}
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id: 47534156
{'hecke_orbit_code': 27022216273068617, 'n': 2, 'trace_an': 0}
-
id: 47534157
{'hecke_orbit_code': 27022216273068617, 'n': 3, 'trace_an': 0}
-
id: 47534158
{'hecke_orbit_code': 27022216273068617, 'n': 4, 'trace_an': -2}
-
id: 47534159
{'hecke_orbit_code': 27022216273068617, 'n': 5, 'trace_an': 6}
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id: 47534160
{'hecke_orbit_code': 27022216273068617, 'n': 6, 'trace_an': 0}
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id: 47534161
{'hecke_orbit_code': 27022216273068617, 'n': 7, 'trace_an': 5}
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id: 47534162
{'hecke_orbit_code': 27022216273068617, 'n': 8, 'trace_an': -12}
-
id: 47534163
{'hecke_orbit_code': 27022216273068617, 'n': 9, 'trace_an': 0}
-
id: 47534164
{'hecke_orbit_code': 27022216273068617, 'n': 10, 'trace_an': 0}
-
id: 47534165
{'hecke_orbit_code': 27022216273068617, 'n': 11, 'trace_an': 4}
-
id: 47534166
{'hecke_orbit_code': 27022216273068617, 'n': 12, 'trace_an': 0}
-
id: 47534167
{'hecke_orbit_code': 27022216273068617, 'n': 13, 'trace_an': 3}
-
id: 47534168
{'hecke_orbit_code': 27022216273068617, 'n': 14, 'trace_an': 24}
-
id: 47534169
{'hecke_orbit_code': 27022216273068617, 'n': 15, 'trace_an': 0}
-
id: 47534170
{'hecke_orbit_code': 27022216273068617, 'n': 16, 'trace_an': 4}
-
id: 47534171
{'hecke_orbit_code': 27022216273068617, 'n': 17, 'trace_an': -4}
-
id: 47534172
{'hecke_orbit_code': 27022216273068617, 'n': 18, 'trace_an': 0}
-
id: 47534173
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id: 47534411
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id: 47534412
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