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mf_newforms • Show schema
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{'Nk2': 1288, 'analytic_conductor': 0.642795736271307, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1288, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 35, 'char_orbit_label': 'bi', 'char_order': 22, 'char_parity': -1, 'char_values': [1288, 22, [967, 645, 185, 281], [22, 11, 11, 14]], 'cm_discs': [-7], 'conrey_index': 13, 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [11, [11, 22, 0, -11, 33, 0, 0, 11, 0, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9009535733728520, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1288, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.642795736271307, 'char_conductor': 1288, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 35, 'char_orbit_label': 'bi', 'char_order': 22, 'char_parity': -1, 'char_values': [1288, 22, [967, 645, 185, 281], [22, 11, 11, 14]], 'conrey_index': 13, 'cusp_dim': 60, 'dihedral_dim': 60, 'dim': 60, 'eis_dim': 40, 'eis_new_dim': 40, 'hecke_orbit_code': 2336478987528, 'hecke_orbit_dims': [10, 10, 10, 10, 20], 'label': '1288.1.bi', 'level': 1288, '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, 23], 'level_radical': 322, 'mf_dim': 100, 'mf_new_dim': 100, 'num_forms': 5, 'prim_orbit_index': 35, 'relative_dim': 6, 's4_dim': 0, 'sturm_bound': 192, 'trace_bound': 36, 'trace_display': [2, 0, 0, 2], 'traces': [60, 2, 0, -6, 0, 0, 2, 2, -2, 0, 0, 0, 0, -6, -8, -6, 0, 34, 0, 0, 0, 0, -6, 0, -2, 0, 0, 2, 0, 36, 0, 2, 0, 0, 0, -13, 0, 0, -8, 0, 0, 0, 0, -11, 0, 2, 0, 0, -6, 1, 0, 0, 0, 0, 0, -6, -8, 11, 0, -8, 0, 0, -10, -6, -8, 0, 0, 0, 0, 0, 4, -10, 0, -11, 0, 0, 0, -8, 4, 0, 30, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, -6, 0, 0, -8, 0, 0, -9, 0, -2, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, -9, 4, -8, 0, 0, 0, 0, 0, -8, -6, 0, 0, 0, 0, -2, -12, 2, 0, -8, 0, 0, 0, 0, -16, 0, -12, 0, 0, 0, 0, -12, 0, -2, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, -8, 0, -1, 0, 0, 2, -6, 0, 0, 0, 0, 0, 0, -2, 0, 0, 11, 0, 0, -10, 0, -8, 0, 0, 0, 0, 0, -8, 2, 0, 0, 0, 0, 0, 36, -18, 0, 4, 0, 0, -6, 0, 11, 0, -10, 0, 0, 0, 0, 0, 0, -24, 0, 0, -8, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -22, 32, 0, -8, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, -8, 0, 2, 0, 0, 0, 0, -8, 0, -8, 0, 0, -10, 0, 4, 0, -6, 0, 0, 0, -8, 0, 0, 4, 0, 0, 0, 0, 0, 0, -16, 0, 0, -8, 4, 0, 0, 0, 0, 0, 0, -12, 0, 0, 4, 0, 0, 0, 1, -6, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, -7, -8, 0, -8, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 4, 0, 0, 0, 0, 0, -6, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, -10, 0, 0, 0, 0, 2, 22, 36, 0, 0, 0, 0, -2, 28, 11, 0, -8, 0, 0, 0, -11, 10, 0, -2, 0, 0, 0, 0, -8, 0, 38, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 36, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 36, 11, 0, 0, 0, 0, 36, -2, -18, 0, 0, 0, 0, 11, 22, 0, 0, 0, 0, 0, 0, -10, -8, 0, -8, 0, 0, -8, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -9, -12, -14, 0, 4, 0, 0, 36, -8, 4, 0, 0, 0, 0, 0, 4, 11, 0, -7, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -7, 0, -8, 0, 0, 0, 38, 0, 0, -12, 0, 0, 0, 0, 0, 0, -8, 0, 0, -12, -8, 0, 0, 0, 0, 0, -2, -8, -11, 0, -1, 0, 0, 0, 2, -16, 0, 0, 0, 0, 0, -8, 36, 0, 0, 0, 0, 0, -12, 0, 0, -6, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 28, 0, 0, -8, 0, 0, 36, 0, -1, 0, -11, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -6, -12, 4, 0, 0, 0, 0, 0, -2, 42, 0, 2, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -11, 0, 0, 4, 0, 0, 0, 0, -12, 0, 36, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, -8, -14, 0, 0, 0, 0, 0, 4, -12, 0, 0, 0, 0, 0, -11, 24, 0, 4, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0, -11, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 10, -12, 0, -2, 0, 0, 0, 0, -8, 0, 0, 0, 0, 5, 36, 0, 0, -8, 0, 0, 0, -11, 36, 0, 0, 0, 0, 1, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, -10, 0, 0, -8, 0, 0, -8, 2, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -16, -12, 0, -8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, 0, -8, 0, 0, 0, 0, -7, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -8, -8, 0, 11, 0, 0, 10, 0, 36, 0, 0, 0, 0, -8, 0, -10, 0, -12, 0, 0, 0, 0, -8, 0, 4, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 36, -6, 0, 0, -11, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 4, 4, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -10, 0, 0, 0, -11, 0, 0, 4, 0, 0, 0, 0, 0, 0, 38, -8, 4, 0, 22, 0, 0, 0, -12, -8, 0, 0, 0, 0, -8, -12, -8, 0, -12, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 10, -11, 0, 32, 0, 0, 4, -8, -6, 0, 0, 0, 0, 0, -12, -9, 0, 0, 0, 0, 0, -7, -24, 0, -12, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, -8, 0, 0, 4, 0, 0, -7, 0, -8, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 41944937
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009535733728520, 'source_is_minimal': True, 'source_label': '1288.1.bi.c.13.1', 'source_level': 1288, 'target_conrey_index': 13, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009535733728520, 'target_is_minimal': True, 'target_label': '1288.1.bi.c.13.1', 'target_level': 1288, 'twist_class_label': '1288.1.bi.c.13.1', 'twist_class_level': 1288, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 41944938
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009535733728520, 'source_is_minimal': True, 'source_label': '1288.1.bi.c.13.1', 'source_level': 1288, 'target_conrey_index': 13, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009535733728520, 'target_is_minimal': True, 'target_label': '1288.1.bi.c.13.1', 'target_level': 1288, 'twist_class_label': '1288.1.bi.c.13.1', 'twist_class_level': 1288, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 1}
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id: 41944939
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009535733728520, 'source_is_minimal': True, 'source_label': '1288.1.bi.c.13.1', 'source_level': 1288, 'target_conrey_index': 13, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513135361099016, 'target_is_minimal': True, 'target_label': '1288.1.bi.d.13.1', 'target_level': 1288, 'twist_class_label': '1288.1.bi.c.13.1', 'twist_class_level': 1288, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 41944940
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009535733728520, 'source_is_minimal': True, 'source_label': '1288.1.bi.c.13.1', 'source_level': 1288, 'target_conrey_index': 1189, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513135361099016, 'target_is_minimal': True, 'target_label': '1288.1.bi.d.1189.1', 'target_level': 1288, 'twist_class_label': '1288.1.bi.c.13.1', 'twist_class_level': 1288, 'twisting_char_label': '23.16', 'twisting_conrey_index': 16, 'weight': 1}
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id: 41944941
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009535733728520, 'source_is_minimal': True, 'source_label': '1288.1.bi.c.13.1', 'source_level': 1288, 'target_conrey_index': 13, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513135361099016, 'target_is_minimal': True, 'target_label': '1288.1.bi.d.13.1', 'target_level': 1288, 'twist_class_label': '1288.1.bi.c.13.1', 'twist_class_level': 1288, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 1}
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id: 41944942
{'conductor': 161, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009535733728520, 'source_is_minimal': True, 'source_label': '1288.1.bi.c.13.1', 'source_level': 1288, 'target_conrey_index': 1189, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513135361099016, 'target_is_minimal': True, 'target_label': '1288.1.bi.d.1189.1', 'target_level': 1288, 'twist_class_label': '1288.1.bi.c.13.1', 'twist_class_level': 1288, 'twisting_char_label': '161.62', 'twisting_conrey_index': 62, 'weight': 1}
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id: 41944943
{'conductor': 184, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009535733728520, 'source_is_minimal': True, 'source_label': '1288.1.bi.c.13.1', 'source_level': 1288, 'target_conrey_index': 1189, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009535733728520, 'target_is_minimal': True, 'target_label': '1288.1.bi.c.1189.1', 'target_level': 1288, 'twist_class_label': '1288.1.bi.c.13.1', 'twist_class_level': 1288, 'twisting_char_label': '184.85', 'twisting_conrey_index': 85, 'weight': 1}
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id: 41944944
{'conductor': 1288, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009535733728520, 'source_is_minimal': True, 'source_label': '1288.1.bi.c.13.1', 'source_level': 1288, 'target_conrey_index': 1189, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009535733728520, 'target_is_minimal': True, 'target_label': '1288.1.bi.c.1189.1', 'target_level': 1288, 'twist_class_label': '1288.1.bi.c.13.1', 'twist_class_level': 1288, 'twisting_char_label': '1288.1189', 'twisting_conrey_index': 1189, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 1830975
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 2}
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id: 1830976
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 3}
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id: 1830977
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 5}
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id: 1830978
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 7}
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id: 1830979
{'charpoly_factorization': [[[11, 22, 0, -11, 33, 0, 0, 11, 0, 0, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 11}
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id: 1830980
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 13}
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id: 1830981
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 17}
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id: 1830982
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 19}
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id: 1830983
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 23}
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id: 1830984
{'charpoly_factorization': [[[11, 11, 11, -33, 0, 22, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 29}
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id: 1830985
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 31}
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id: 1830986
{'charpoly_factorization': [[[11, -22, 0, 11, 33, 0, 0, -11, 0, 0, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 37}
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id: 1830987
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 41}
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id: 1830988
{'charpoly_factorization': [[[11, 33, 22, 0, 0, -11, 11, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 43}
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id: 1830989
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 47}
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id: 1830990
{'charpoly_factorization': [[[11, -22, 0, 11, 33, 0, 0, -11, 0, 0, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 53}
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id: 1830991
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 59}
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id: 1830992
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 61}
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id: 1830993
{'charpoly_factorization': [[[11, -33, 22, 0, 0, 11, 11, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 67}
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id: 1830994
{'charpoly_factorization': [[[1, -6, 14, -7, 9, 12, -6, 3, 4, -2, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 71}
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id: 1830995
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 73}
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id: 1830996
{'charpoly_factorization': [[[1, -6, 14, -7, 9, 12, -6, 3, 4, -2, 1], 1]], 'hecke_orbit_code': 9009535733728520, 'p': 79}
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id: 1830997
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 83}
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id: 1830998
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 89}
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id: 1830999
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9009535733728520, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 35, 'hecke_orbit': 3, 'label': '1288.1.bi.c', 'level': 1288, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 32169223
{'hecke_orbit_code': 9009535733728520, 'n': 1, 'trace_an': 10}
-
id: 32169224
{'hecke_orbit_code': 9009535733728520, 'n': 2, 'trace_an': 1}
-
id: 32169225
{'hecke_orbit_code': 9009535733728520, 'n': 3, 'trace_an': 0}
-
id: 32169226
{'hecke_orbit_code': 9009535733728520, 'n': 4, 'trace_an': -1}
-
id: 32169227
{'hecke_orbit_code': 9009535733728520, 'n': 5, 'trace_an': 0}
-
id: 32169228
{'hecke_orbit_code': 9009535733728520, 'n': 6, 'trace_an': 0}
-
id: 32169229
{'hecke_orbit_code': 9009535733728520, 'n': 7, 'trace_an': 1}
-
id: 32169230
{'hecke_orbit_code': 9009535733728520, 'n': 8, 'trace_an': 1}
-
id: 32169231
{'hecke_orbit_code': 9009535733728520, 'n': 9, 'trace_an': 1}
-
id: 32169232
{'hecke_orbit_code': 9009535733728520, 'n': 10, 'trace_an': 0}
-
id: 32169233
{'hecke_orbit_code': 9009535733728520, 'n': 11, 'trace_an': 0}
-
id: 32169234
{'hecke_orbit_code': 9009535733728520, 'n': 12, 'trace_an': 0}
-
id: 32169235
{'hecke_orbit_code': 9009535733728520, 'n': 13, 'trace_an': 0}
-
id: 32169236
{'hecke_orbit_code': 9009535733728520, 'n': 14, 'trace_an': -1}
-
id: 32169237
{'hecke_orbit_code': 9009535733728520, 'n': 15, 'trace_an': 0}
-
id: 32169238
{'hecke_orbit_code': 9009535733728520, 'n': 16, 'trace_an': -1}
-
id: 32169239
{'hecke_orbit_code': 9009535733728520, 'n': 17, 'trace_an': 0}
-
id: 32169240
{'hecke_orbit_code': 9009535733728520, 'n': 18, 'trace_an': -1}
-
id: 32169241
{'hecke_orbit_code': 9009535733728520, 'n': 19, 'trace_an': 0}
-
id: 32169242
{'hecke_orbit_code': 9009535733728520, 'n': 20, 'trace_an': 0}
-
id: 32169243
{'hecke_orbit_code': 9009535733728520, 'n': 21, 'trace_an': 0}
-
id: 32169244
{'hecke_orbit_code': 9009535733728520, 'n': 22, 'trace_an': 0}
-
id: 32169245
{'hecke_orbit_code': 9009535733728520, 'n': 23, 'trace_an': -1}
-
id: 32169246
{'hecke_orbit_code': 9009535733728520, 'n': 24, 'trace_an': 0}
-
id: 32169247
{'hecke_orbit_code': 9009535733728520, 'n': 25, 'trace_an': 1}
-
id: 32169248
{'hecke_orbit_code': 9009535733728520, 'n': 26, 'trace_an': 0}
-
id: 32169249
{'hecke_orbit_code': 9009535733728520, 'n': 27, 'trace_an': 0}
-
id: 32169250
{'hecke_orbit_code': 9009535733728520, 'n': 28, 'trace_an': 1}
-
id: 32169251
{'hecke_orbit_code': 9009535733728520, 'n': 29, 'trace_an': 0}
-
id: 32169252
{'hecke_orbit_code': 9009535733728520, 'n': 30, 'trace_an': 0}
-
id: 32169253
{'hecke_orbit_code': 9009535733728520, 'n': 31, 'trace_an': 0}
-
id: 32169254
{'hecke_orbit_code': 9009535733728520, 'n': 32, 'trace_an': 1}
-
id: 32169255
{'hecke_orbit_code': 9009535733728520, 'n': 33, 'trace_an': 0}
-
id: 32169256
{'hecke_orbit_code': 9009535733728520, 'n': 34, 'trace_an': 0}
-
id: 32169257
{'hecke_orbit_code': 9009535733728520, 'n': 35, 'trace_an': 0}
-
id: 32169258
{'hecke_orbit_code': 9009535733728520, 'n': 36, 'trace_an': -10}
-
id: 32169259
{'hecke_orbit_code': 9009535733728520, 'n': 37, 'trace_an': 0}
-
id: 32169260
{'hecke_orbit_code': 9009535733728520, 'n': 38, 'trace_an': 0}
-
id: 32169261
{'hecke_orbit_code': 9009535733728520, 'n': 39, 'trace_an': 0}
-
id: 32169262
{'hecke_orbit_code': 9009535733728520, 'n': 40, 'trace_an': 0}
-
id: 32169263
{'hecke_orbit_code': 9009535733728520, 'n': 41, 'trace_an': 0}
-
id: 32169264
{'hecke_orbit_code': 9009535733728520, 'n': 42, 'trace_an': 0}
-
id: 32169265
{'hecke_orbit_code': 9009535733728520, 'n': 43, 'trace_an': 0}
-
id: 32169266
{'hecke_orbit_code': 9009535733728520, 'n': 44, 'trace_an': 0}
-
id: 32169267
{'hecke_orbit_code': 9009535733728520, 'n': 45, 'trace_an': 0}
-
id: 32169268
{'hecke_orbit_code': 9009535733728520, 'n': 46, 'trace_an': 1}
-
id: 32169269
{'hecke_orbit_code': 9009535733728520, 'n': 47, 'trace_an': 0}
-
id: 32169270
{'hecke_orbit_code': 9009535733728520, 'n': 48, 'trace_an': 0}
-
id: 32169271
{'hecke_orbit_code': 9009535733728520, 'n': 49, 'trace_an': -1}
-
id: 32169272
{'hecke_orbit_code': 9009535733728520, 'n': 50, 'trace_an': -1}
-
id: 32169273
{'hecke_orbit_code': 9009535733728520, 'n': 51, 'trace_an': 0}
-
id: 32169274
{'hecke_orbit_code': 9009535733728520, 'n': 52, 'trace_an': 0}
-
id: 32169275
{'hecke_orbit_code': 9009535733728520, 'n': 53, 'trace_an': 0}
-
id: 32169276
{'hecke_orbit_code': 9009535733728520, 'n': 54, 'trace_an': 0}
-
id: 32169277
{'hecke_orbit_code': 9009535733728520, 'n': 55, 'trace_an': 0}
-
id: 32169278
{'hecke_orbit_code': 9009535733728520, 'n': 56, 'trace_an': -1}
-
id: 32169279
{'hecke_orbit_code': 9009535733728520, 'n': 57, 'trace_an': 0}
-
id: 32169280
{'hecke_orbit_code': 9009535733728520, 'n': 58, 'trace_an': 11}
-
id: 32169281
{'hecke_orbit_code': 9009535733728520, 'n': 59, 'trace_an': 0}
-
id: 32169282
{'hecke_orbit_code': 9009535733728520, 'n': 60, 'trace_an': 0}
-
id: 32169283
{'hecke_orbit_code': 9009535733728520, 'n': 61, 'trace_an': 0}
-
id: 32169284
{'hecke_orbit_code': 9009535733728520, 'n': 62, 'trace_an': 0}
-
id: 32169285
{'hecke_orbit_code': 9009535733728520, 'n': 63, 'trace_an': -1}
-
id: 32169286
{'hecke_orbit_code': 9009535733728520, 'n': 64, 'trace_an': -1}
-
id: 32169287
{'hecke_orbit_code': 9009535733728520, 'n': 65, 'trace_an': 0}
-
id: 32169288
{'hecke_orbit_code': 9009535733728520, 'n': 66, 'trace_an': 0}
-
id: 32169289
{'hecke_orbit_code': 9009535733728520, 'n': 67, 'trace_an': 0}
-
id: 32169290
{'hecke_orbit_code': 9009535733728520, 'n': 68, 'trace_an': 0}
-
id: 32169291
{'hecke_orbit_code': 9009535733728520, 'n': 69, 'trace_an': 0}
-
id: 32169292
{'hecke_orbit_code': 9009535733728520, 'n': 70, 'trace_an': 0}
-
id: 32169293
{'hecke_orbit_code': 9009535733728520, 'n': 71, 'trace_an': 2}
-
id: 32169294
{'hecke_orbit_code': 9009535733728520, 'n': 72, 'trace_an': -1}
-
id: 32169295
{'hecke_orbit_code': 9009535733728520, 'n': 73, 'trace_an': 0}
-
id: 32169296
{'hecke_orbit_code': 9009535733728520, 'n': 74, 'trace_an': 0}
-
id: 32169297
{'hecke_orbit_code': 9009535733728520, 'n': 75, 'trace_an': 0}
-
id: 32169298
{'hecke_orbit_code': 9009535733728520, 'n': 76, 'trace_an': 0}
-
id: 32169299
{'hecke_orbit_code': 9009535733728520, 'n': 77, 'trace_an': 11}
-
id: 32169300
{'hecke_orbit_code': 9009535733728520, 'n': 78, 'trace_an': 0}
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