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mf_newforms • Show schema
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{'Nk2': 1045, 'analytic_conductor': 0.5215229382014875, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1045, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 10, 'char_parity': -1, 'char_values': [1045, 10, [837, 761, 496], [5, 6, 5]], 'cm_discs': [-95], 'conrey_index': 284, 'dim': 16, 'field_disc': 1048576000000000000, 'field_disc_factorization': [[2, 32], [5, 12]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 40, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 16, 0, 97, 0, -32, 0, 150, 0, 32, 0, 12, 0, 4, 0, 1]], [7, [0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22519509982118933, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1045, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.5215229382014875, 'char_conductor': 1045, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 10, 'char_parity': -1, 'char_values': [1045, 10, [837, 761, 496], [5, 6, 5]], 'conrey_index': 284, 'cusp_dim': 40, 'dihedral_dim': 40, 'dim': 40, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_orbit_code': 1511845266453, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 16], 'label': '1045.1.w', 'level': 1045, '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': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 56, 'mf_new_dim': 56, 'num_forms': 6, 'prim_orbit_index': 23, 'relative_dim': 10, 's4_dim': 0, 'sturm_bound': 120, 'trace_bound': 7, 'trace_display': [0, 0, -2, 0], 'traces': [40, 0, 0, -6, -2, 0, 0, 0, -6, 0, 2, 0, 0, 0, 0, -10, 0, 0, -2, 2, 0, 0, 0, -16, -10, -16, 0, 0, 0, -16, 0, 0, 0, 0, -5, 14, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 64, -3, 0, 0, 0, 0, 0, -6, 0, 0, -6, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 27, -10, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 8, 0, 0, -10, 34, 4, 0, 0, 24, 0, 0, 0, 0, 0, 0, -16, 0, 0, -16, -5, 0, 0, 0, -10, -16, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -20, 0, 0, -16, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -16, 0, 0, 24, 0, -10, 0, 0, 0, 0, 0, 0, 0, -6, 0, 2, 0, 0, 0, 0, -6, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 24, -16, 0, 0, -4, 0, 0, 0, 0, 0, 0, -16, 0, 0, 2, 0, 0, 0, 0, -16, 5, 8, 0, 0, 0, -10, 0, 0, 0, 0, -11, 24, 0, 0, -6, 0, 0, 0, 0, 8, 5, 0, 0, 0, 20, 0, 0, 0, 0, -10, -2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 24, 4, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 24, 0, 0, 0, 0, 64, 0, 0, 0, 0, 10, 0, 0, 22, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, -22, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 6, 0, -16, 0, 0, 0, 0, 0, 0, 0, 4, 0, -10, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -16, 0, 0, -32, 5, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, -10, 0, 0, 0, -10, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -20, 0, 0, 0, 0, 24, 5, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 24, 0, 0, 0, 5, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -10, 0, 0, -6, -16, 0, 0, 0, 2, 0, -32, 0, 0, 0, 0, 6, 0, 0, 0, -5, 0, 0, 0, -6, -3, -16, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -22, 0, 0, 0, 0, 20, -16, 0, 0, 0, 0, 0, 24, 0, 0, 2, 0, -6, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -5, -2, 0, 0, -16, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 10, 20, 0, 0, 0, -16, 0, 0, 0, 0, -10, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 4, 0, 0, 0, 0, -8, -10, 0, 0, 0, 0, 0, 4, 0, 0, 24, 0, 8, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, -16, 0, 0, 24, 0, -12, 0, 0, 24, 0, -26, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -1, 0, 0, 0, 0, -5, 4, 0, 0, 22, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 24, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 24, 0, 0, 0, -6, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, -5, 24, 0, 0, 4, 0, -16, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -10, 0, 0, 0, 0, -16, 0, 0, 0, 0, -4, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, -20, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -10, 0, 0, 0, 0, -10, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -16, 0, 0, -20, -5, 0, 0, 0, -8, 0, -16, 0, 0, 0, 0, 24, 0, 0, 0, 5, 0, 0, 0, -16, 34, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 24, 0, 0, 0, 0, 0, -21, 0, 0, 0, 24, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, -20, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -2, 0, 0, 0, -5, -48, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -15, -12, 0, 0, 10, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, 0, -12, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 25, 0, 0, 0, -16, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 45433829
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22519509982118933, 'source_is_minimal': True, 'source_label': '1045.1.w.f.379.2', 'source_level': 1045, 'target_conrey_index': 379, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519509982118933, 'target_is_minimal': True, 'target_label': '1045.1.w.f.379.2', 'target_level': 1045, 'twist_class_label': '1045.1.w.f.284.2', 'twist_class_level': 1045, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 45433830
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22519509982118933, 'source_is_minimal': True, 'source_label': '1045.1.w.f.379.2', 'source_level': 1045, 'target_conrey_index': 379, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22519509982118933, 'target_is_minimal': True, 'target_label': '1045.1.w.f.379.3', 'target_level': 1045, 'twist_class_label': '1045.1.w.f.284.2', 'twist_class_level': 1045, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 45433831
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22519509982118933, 'source_is_minimal': True, 'source_label': '1045.1.w.f.379.2', 'source_level': 1045, 'target_conrey_index': 284, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519509982118933, 'target_is_minimal': True, 'target_label': '1045.1.w.f.284.2', 'target_level': 1045, 'twist_class_label': '1045.1.w.f.284.2', 'twist_class_level': 1045, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 1}
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id: 45433832
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22519509982118933, 'source_is_minimal': True, 'source_label': '1045.1.w.f.379.2', 'source_level': 1045, 'target_conrey_index': 379, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22519509982118933, 'target_is_minimal': True, 'target_label': '1045.1.w.f.379.3', 'target_level': 1045, 'twist_class_label': '1045.1.w.f.284.2', 'twist_class_level': 1045, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 1}
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id: 45433833
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22519509982118933, 'source_is_minimal': True, 'source_label': '1045.1.w.f.379.2', 'source_level': 1045, 'target_conrey_index': 284, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22519509982118933, 'target_is_minimal': True, 'target_label': '1045.1.w.f.284.3', 'target_level': 1045, 'twist_class_label': '1045.1.w.f.284.2', 'twist_class_level': 1045, 'twisting_char_label': '55.9', 'twisting_conrey_index': 9, 'weight': 1}
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id: 45433834
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22519509982118933, 'source_is_minimal': True, 'source_label': '1045.1.w.f.379.2', 'source_level': 1045, 'target_conrey_index': 379, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519509982118933, 'target_is_minimal': True, 'target_label': '1045.1.w.f.379.2', 'target_level': 1045, 'twist_class_label': '1045.1.w.f.284.2', 'twist_class_level': 1045, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 1}
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id: 45433835
{'conductor': 209, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22519509982118933, 'source_is_minimal': True, 'source_label': '1045.1.w.f.379.2', 'source_level': 1045, 'target_conrey_index': 284, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22519509982118933, 'target_is_minimal': True, 'target_label': '1045.1.w.f.284.3', 'target_level': 1045, 'twist_class_label': '1045.1.w.f.284.2', 'twist_class_level': 1045, 'twisting_char_label': '209.75', 'twisting_conrey_index': 75, 'weight': 1}
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id: 45433836
{'conductor': 1045, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22519509982118933, 'source_is_minimal': True, 'source_label': '1045.1.w.f.379.2', 'source_level': 1045, 'target_conrey_index': 284, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519509982118933, 'target_is_minimal': True, 'target_label': '1045.1.w.f.284.2', 'target_level': 1045, 'twist_class_label': '1045.1.w.f.284.2', 'twist_class_level': 1045, 'twisting_char_label': '1045.284', 'twisting_conrey_index': 284, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 1629575
{'charpoly_factorization': [[[1, 0, 16, 0, 97, 0, -32, 0, 150, 0, 32, 0, 12, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 22519509982118933, 'p': 2}
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id: 1629576
{'charpoly_factorization': [[[1, 0, 16, 0, 97, 0, -32, 0, 150, 0, 32, 0, 12, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 22519509982118933, 'p': 3}
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id: 1629577
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 4]], 'hecke_orbit_code': 22519509982118933, 'p': 5}
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id: 1629578
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 7}
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id: 1629579
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 22519509982118933, 'p': 11}
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id: 1629580
{'charpoly_factorization': [[[1, 0, 16, 0, 97, 0, -32, 0, 150, 0, 32, 0, 12, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 22519509982118933, 'p': 13}
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id: 1629581
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 17}
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id: 1629582
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 4]], 'hecke_orbit_code': 22519509982118933, 'p': 19}
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id: 1629583
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 23}
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id: 1629584
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 29}
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id: 1629585
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 31}
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id: 1629586
{'charpoly_factorization': [[[1, 0, 16, 0, 97, 0, -32, 0, 150, 0, 32, 0, 12, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 22519509982118933, 'p': 37}
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id: 1629587
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 41}
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id: 1629588
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 43}
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id: 1629589
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 47}
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id: 1629590
{'charpoly_factorization': [[[16, 0, 8, 0, 4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 22519509982118933, 'p': 53}
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id: 1629591
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 59}
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id: 1629592
{'charpoly_factorization': [[[25, 0, 0, 0, 10, 0, 5, 0, 1], 2]], 'hecke_orbit_code': 22519509982118933, 'p': 61}
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id: 1629593
{'charpoly_factorization': [[[1, 0, -12, 0, 19, 0, -8, 0, 1], 2]], 'hecke_orbit_code': 22519509982118933, 'p': 67}
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id: 1629594
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 71}
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id: 1629595
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 73}
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id: 1629596
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 79}
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id: 1629597
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 83}
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id: 1629598
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22519509982118933, 'p': 89}
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id: 1629599
{'charpoly_factorization': [[[1, 0, 16, 0, 97, 0, -32, 0, 150, 0, 32, 0, 12, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 22519509982118933, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 23, 'hecke_orbit': 6, 'label': '1045.1.w.f', 'level': 1045, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 44905651
{'hecke_orbit_code': 22519509982118933, 'n': 1, 'trace_an': 16}
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id: 44905652
{'hecke_orbit_code': 22519509982118933, 'n': 2, 'trace_an': 0}
-
id: 44905653
{'hecke_orbit_code': 22519509982118933, 'n': 3, 'trace_an': 0}
-
id: 44905654
{'hecke_orbit_code': 22519509982118933, 'n': 4, 'trace_an': -4}
-
id: 44905655
{'hecke_orbit_code': 22519509982118933, 'n': 5, 'trace_an': 4}
-
id: 44905656
{'hecke_orbit_code': 22519509982118933, 'n': 6, 'trace_an': -12}
-
id: 44905657
{'hecke_orbit_code': 22519509982118933, 'n': 7, 'trace_an': 0}
-
id: 44905658
{'hecke_orbit_code': 22519509982118933, 'n': 8, 'trace_an': 0}
-
id: 44905659
{'hecke_orbit_code': 22519509982118933, 'n': 9, 'trace_an': -4}
-
id: 44905660
{'hecke_orbit_code': 22519509982118933, 'n': 10, 'trace_an': 0}
-
id: 44905661
{'hecke_orbit_code': 22519509982118933, 'n': 11, 'trace_an': 0}
-
id: 44905662
{'hecke_orbit_code': 22519509982118933, 'n': 12, 'trace_an': 0}
-
id: 44905663
{'hecke_orbit_code': 22519509982118933, 'n': 13, 'trace_an': 0}
-
id: 44905664
{'hecke_orbit_code': 22519509982118933, 'n': 14, 'trace_an': 0}
-
id: 44905665
{'hecke_orbit_code': 22519509982118933, 'n': 15, 'trace_an': 0}
-
id: 44905666
{'hecke_orbit_code': 22519509982118933, 'n': 16, 'trace_an': 4}
-
id: 44905667
{'hecke_orbit_code': 22519509982118933, 'n': 17, 'trace_an': 0}
-
id: 44905668
{'hecke_orbit_code': 22519509982118933, 'n': 18, 'trace_an': 0}
-
id: 44905669
{'hecke_orbit_code': 22519509982118933, 'n': 19, 'trace_an': 4}
-
id: 44905670
{'hecke_orbit_code': 22519509982118933, 'n': 20, 'trace_an': 4}
-
id: 44905671
{'hecke_orbit_code': 22519509982118933, 'n': 21, 'trace_an': 0}
-
id: 44905672
{'hecke_orbit_code': 22519509982118933, 'n': 22, 'trace_an': 0}
-
id: 44905673
{'hecke_orbit_code': 22519509982118933, 'n': 23, 'trace_an': 0}
-
id: 44905674
{'hecke_orbit_code': 22519509982118933, 'n': 24, 'trace_an': -20}
-
id: 44905675
{'hecke_orbit_code': 22519509982118933, 'n': 25, 'trace_an': -4}
-
id: 44905676
{'hecke_orbit_code': 22519509982118933, 'n': 26, 'trace_an': -8}
-
id: 44905677
{'hecke_orbit_code': 22519509982118933, 'n': 27, 'trace_an': 0}
-
id: 44905678
{'hecke_orbit_code': 22519509982118933, 'n': 28, 'trace_an': 0}
-
id: 44905679
{'hecke_orbit_code': 22519509982118933, 'n': 29, 'trace_an': 0}
-
id: 44905680
{'hecke_orbit_code': 22519509982118933, 'n': 30, 'trace_an': -8}
-
id: 44905681
{'hecke_orbit_code': 22519509982118933, 'n': 31, 'trace_an': 0}
-
id: 44905682
{'hecke_orbit_code': 22519509982118933, 'n': 32, 'trace_an': 0}
-
id: 44905683
{'hecke_orbit_code': 22519509982118933, 'n': 33, 'trace_an': 0}
-
id: 44905684
{'hecke_orbit_code': 22519509982118933, 'n': 34, 'trace_an': 0}
-
id: 44905685
{'hecke_orbit_code': 22519509982118933, 'n': 35, 'trace_an': 0}
-
id: 44905686
{'hecke_orbit_code': 22519509982118933, 'n': 36, 'trace_an': 16}
-
id: 44905687
{'hecke_orbit_code': 22519509982118933, 'n': 37, 'trace_an': 0}
-
id: 44905688
{'hecke_orbit_code': 22519509982118933, 'n': 38, 'trace_an': 0}
-
id: 44905689
{'hecke_orbit_code': 22519509982118933, 'n': 39, 'trace_an': 8}
-
id: 44905690
{'hecke_orbit_code': 22519509982118933, 'n': 40, 'trace_an': 0}
-
id: 44905691
{'hecke_orbit_code': 22519509982118933, 'n': 41, 'trace_an': 0}
-
id: 44905692
{'hecke_orbit_code': 22519509982118933, 'n': 42, 'trace_an': 0}
-
id: 44905693
{'hecke_orbit_code': 22519509982118933, 'n': 43, 'trace_an': 0}
-
id: 44905694
{'hecke_orbit_code': 22519509982118933, 'n': 44, 'trace_an': 0}
-
id: 44905695
{'hecke_orbit_code': 22519509982118933, 'n': 45, 'trace_an': -16}
-
id: 44905696
{'hecke_orbit_code': 22519509982118933, 'n': 46, 'trace_an': 0}
-
id: 44905697
{'hecke_orbit_code': 22519509982118933, 'n': 47, 'trace_an': 0}
-
id: 44905698
{'hecke_orbit_code': 22519509982118933, 'n': 48, 'trace_an': 0}
-
id: 44905699
{'hecke_orbit_code': 22519509982118933, 'n': 49, 'trace_an': -4}
-
id: 44905700
{'hecke_orbit_code': 22519509982118933, 'n': 50, 'trace_an': 0}
-
id: 44905701
{'hecke_orbit_code': 22519509982118933, 'n': 51, 'trace_an': 0}
-
id: 44905702
{'hecke_orbit_code': 22519509982118933, 'n': 52, 'trace_an': 0}
-
id: 44905703
{'hecke_orbit_code': 22519509982118933, 'n': 53, 'trace_an': 0}
-
id: 44905704
{'hecke_orbit_code': 22519509982118933, 'n': 54, 'trace_an': 40}
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id: 44905705
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{'hecke_orbit_code': 22519509982118933, 'n': 991, 'trace_an': 0}
-
id: 44905908
{'hecke_orbit_code': 22519509982118933, 'n': 997, 'trace_an': 0}