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mf_newforms • Show schema
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{'Nk2': 600, 'analytic_conductor': 1.1977560303192059, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [150, 5, [101, 127], [5, 2]], 'cm_discs': [], 'conrey_index': 31, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, -3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 412350414998, 'hecke_ring_generator_nbound': 2, '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, 25, 4, 1, 5, 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': True, 'label': '150.2.g.a', 'level': 150, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '150.2.g.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(-1+\\zeta_{10}-\\zeta_{10}^{2}+\\zeta_{10}^{3})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '150.2.g', 'trace_display': [-1, 1, 5, 6], 'trace_hash': 1270886428680218111, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.310', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.682', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_cc • Show schema
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'hecke_orbit_code': 412350414998, 'label': '150.2.g.a.61.1', 'level': 150, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 600, 'analytic_conductor': 1.1977560303192059, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [150, 5, [101, 127], [5, 2]], 'conrey_index': 31, 'cusp_dim': 104, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 412350414998, 'hecke_orbit_dims': [4, 4, 8], 'label': '150.2.g', 'level': 150, '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, 3, 5], 'level_radical': 30, 'mf_dim': 136, 'mf_new_dim': 16, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 4, 'sturm_bound': 60, 'trace_bound': 2, 'trace_display': [2, 0, 6, 12], 'traces': [16, 2, 0, -4, 6, 2, 12, 2, -4, 4, -12, 0, 12, 0, 6, -4, -8, -8, -8, -4, 4, -8, -36, -8, 4, 12, 0, 2, -12, -16, -6, -8, -8, -10, 16, -4, 26, 16, 0, 4, -24, 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mf_twists_cc • Show schema
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id: 3861279
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 61, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414998, 'target_is_minimal': True, 'target_label': '150.2.g.a.61.1', 'target_level': 150, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3861280
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633026, 'target_is_minimal': False, 'target_label': '450.2.h.c.361.1', 'target_level': 450, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3861281
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262830, 'target_is_minimal': False, 'target_label': '750.2.h.b.199.1', 'target_level': 750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3861282
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697262830, 'target_is_minimal': False, 'target_label': '750.2.h.b.199.2', 'target_level': 750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3861283
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786094, 'target_is_minimal': False, 'target_label': '750.2.g.b.301.1', 'target_level': 750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3861284
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099882150, 'target_is_minimal': False, 'target_label': '3750.2.c.b.1249.1', 'target_level': 3750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '25.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3861285
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915669670, 'target_is_minimal': False, 'target_label': '3750.2.a.d.1.1', 'target_level': 3750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '25.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3861286
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786094, 'target_is_minimal': False, 'target_label': '750.2.g.b.451.1', 'target_level': 750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 3861287
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697262830, 'target_is_minimal': False, 'target_label': '750.2.h.b.49.2', 'target_level': 750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 3861288
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262830, 'target_is_minimal': False, 'target_label': '750.2.h.b.49.1', 'target_level': 750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 3861289
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 91, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414998, 'target_is_minimal': True, 'target_label': '150.2.g.a.91.1', 'target_level': 150, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 3861290
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170410662, 'target_is_minimal': False, 'target_label': '3750.2.a.f.1.2', 'target_level': 3750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 3861291
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099882150, 'target_is_minimal': False, 'target_label': '3750.2.c.b.1249.4', 'target_level': 3750, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '25.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 3861292
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414998, 'source_is_minimal': True, 'source_label': '150.2.g.a.61.1', 'source_level': 150, 'target_conrey_index': 91, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633026, 'target_is_minimal': False, 'target_label': '450.2.h.c.91.1', 'target_level': 450, 'twist_class_label': '150.2.g.a.61.1', 'twist_class_level': 150, 'twisting_char_label': '75.41', 'twisting_conrey_index': 41, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 397125
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 2}
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id: 397126
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 3}
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id: 397127
{'charpoly_factorization': [[[25, -25, 15, -5, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 5}
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id: 397128
{'charpoly_factorization': [[[1, -3, 1], 2]], 'hecke_orbit_code': 412350414998, 'p': 7}
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id: 397129
{'charpoly_factorization': [[[25, 0, 10, 5, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 11}
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id: 397130
{'charpoly_factorization': [[[256, -128, 64, -12, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 13}
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id: 397131
{'charpoly_factorization': [[[16, -16, 16, -6, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 17}
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id: 397132
{'charpoly_factorization': [[[1936, 616, 136, 16, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 19}
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id: 397133
{'charpoly_factorization': [[[400, 200, 60, 10, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 23}
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id: 397134
{'charpoly_factorization': [[[16, -56, 76, -6, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 29}
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id: 397135
{'charpoly_factorization': [[[841, 232, 34, 3, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 31}
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id: 397136
{'charpoly_factorization': [[[4096, 512, 64, 8, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 37}
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id: 397137
{'charpoly_factorization': [[[1936, 704, 136, 14, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 41}
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id: 397138
{'charpoly_factorization': [[[-44, 2, 1], 2]], 'hecke_orbit_code': 412350414998, 'p': 43}
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id: 397139
{'charpoly_factorization': [[[400, -200, 160, -20, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 47}
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id: 397140
{'charpoly_factorization': [[[361, 171, 106, 16, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 53}
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id: 397141
{'charpoly_factorization': [[[25, 0, 10, -5, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 59}
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id: 397142
{'charpoly_factorization': [[[400, 200, 40, 0, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 61}
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id: 397143
{'charpoly_factorization': [[[256, 64, 96, -16, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 67}
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id: 397144
{'charpoly_factorization': [[[6400, 0, 160, 20, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 71}
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id: 397145
{'charpoly_factorization': [[[1936, 792, 124, -2, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 73}
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id: 397146
{'charpoly_factorization': [[[361, -133, 24, -2, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 79}
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id: 397147
{'charpoly_factorization': [[[361, -38, 64, 13, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 83}
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id: 397148
{'charpoly_factorization': [[[1936, 792, 124, -2, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 89}
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id: 397149
{'charpoly_factorization': [[[361, -38, 24, -7, 1], 1]], 'hecke_orbit_code': 412350414998, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '150.2.g.a', 'level': 150, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8751942
{'hecke_orbit_code': 412350414998, 'n': 1, 'trace_an': 4}
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id: 8751943
{'hecke_orbit_code': 412350414998, 'n': 2, 'trace_an': -1}
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id: 8751944
{'hecke_orbit_code': 412350414998, 'n': 3, 'trace_an': 1}
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id: 8751945
{'hecke_orbit_code': 412350414998, 'n': 4, 'trace_an': -1}
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id: 8751946
{'hecke_orbit_code': 412350414998, 'n': 5, 'trace_an': 5}
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id: 8751947
{'hecke_orbit_code': 412350414998, 'n': 6, 'trace_an': 1}
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id: 8751948
{'hecke_orbit_code': 412350414998, 'n': 7, 'trace_an': 6}
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id: 8751949
{'hecke_orbit_code': 412350414998, 'n': 8, 'trace_an': -1}
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id: 8751950
{'hecke_orbit_code': 412350414998, 'n': 9, 'trace_an': -1}
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id: 8751951
{'hecke_orbit_code': 412350414998, 'n': 10, 'trace_an': -5}
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id: 8751952
{'hecke_orbit_code': 412350414998, 'n': 11, 'trace_an': -5}
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id: 8751953
{'hecke_orbit_code': 412350414998, 'n': 12, 'trace_an': 1}
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id: 8751954
{'hecke_orbit_code': 412350414998, 'n': 13, 'trace_an': 12}
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id: 8751955
{'hecke_orbit_code': 412350414998, 'n': 14, 'trace_an': -4}
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id: 8751956
{'hecke_orbit_code': 412350414998, 'n': 15, 'trace_an': 5}
-
id: 8751957
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