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mf_newforms • Show schema
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{'Nk2': 3000, 'analytic_conductor': 5.988780151596028, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 10, 'char_parity': 1, 'char_values': [750, 10, [251, 127], [10, 7]], 'cm_discs': [], 'conrey_index': 49, 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 0, 7, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504080697262830, '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, 5, 2, 1, 2, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 25, 5, 1, 10, 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': '750.2.h.b', 'level': 750, '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': '8.0.4000000.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{20}q^{2}-\\zeta_{20}^{7}q^{3}+\\zeta_{20}^{2}q^{4}+(1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '750.2.h', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1360664318465905456, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.392', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.321', 'prec': 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mf_hecke_cc • Show schema
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'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 4, 'embedding_root_imag': 0.8090169943749475, 'embedding_root_real': 0.5877852522924731, 'hecke_orbit': 2, 'hecke_orbit_code': 4504080697262830, 'label': '750.2.h.b.199.2', 'level': 750, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3000, 'analytic_conductor': 5.988780151596028, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 10, 'char_parity': 1, 'char_values': [750, 10, [251, 127], [10, 7]], 'conrey_index': 49, 'cusp_dim': 520, 'dim': 56, 'eis_dim': 160, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 481069892334, 'hecke_orbit_dims': [8, 8, 8, 16, 16], 'label': '750.2.h', 'level': 750, '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': 680, 'mf_new_dim': 56, 'num_forms': 5, 'prim_orbit_index': 5, 'relative_dim': 14, 'sturm_bound': 300, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, 14, 0, 2, 0, 0, 14, 0, -12, 0, 0, 0, 0, -14, 20, 0, 8, 0, 4, 20, 20, 8, 0, 32, 0, 10, -8, 0, -6, 0, 20, 40, 0, -14, 0, 0, 0, 0, -4, 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1}
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mf_twists_cc • Show schema
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id: 35618798
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35618799
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35618800
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35618801
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35618802
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35618803
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '25.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35618804
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '25.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35618805
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 35618806
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 35618807
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35618808
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 35618809
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '25.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 35618810
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '25.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35618811
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504080697262830, 'source_is_minimal': False, 'source_label': '750.2.h.b.199.2', 'source_level': 750, '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': '75.62', 'twisting_conrey_index': 62, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1283125
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 2}
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id: 1283126
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 3}
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id: 1283127
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504080697262830, 'p': 5}
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id: 1283128
{'charpoly_factorization': [[[1, 0, 7, 0, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 7}
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id: 1283129
{'charpoly_factorization': [[[25, 0, 10, 5, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 11}
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id: 1283130
{'charpoly_factorization': [[[65536, 0, -16384, 0, 1536, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 13}
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id: 1283131
{'charpoly_factorization': [[[256, 0, -256, 0, 96, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 17}
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id: 1283132
{'charpoly_factorization': [[[1936, -616, 136, -16, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 19}
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id: 1283133
{'charpoly_factorization': [[[160000, 0, -8000, 0, 400, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 23}
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id: 1283134
{'charpoly_factorization': [[[16, 56, 76, 6, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 29}
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id: 1283135
{'charpoly_factorization': [[[841, 232, 34, 3, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 31}
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id: 1283136
{'charpoly_factorization': [[[16777216, 0, -262144, 0, 4096, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 37}
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id: 1283137
{'charpoly_factorization': [[[1936, 704, 136, 14, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 41}
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id: 1283138
{'charpoly_factorization': [[[1936, 0, 92, 0, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 43}
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id: 1283139
{'charpoly_factorization': [[[160000, 0, -88000, 0, 18400, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 47}
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id: 1283140
{'charpoly_factorization': [[[130321, 0, -47291, 0, 6486, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 53}
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id: 1283141
{'charpoly_factorization': [[[25, 0, 10, 5, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 59}
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id: 1283142
{'charpoly_factorization': [[[400, 200, 40, 0, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 61}
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id: 1283143
{'charpoly_factorization': [[[65536, 0, -45056, 0, 11776, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 67}
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id: 1283144
{'charpoly_factorization': [[[6400, 0, 160, 20, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 71}
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id: 1283145
{'charpoly_factorization': [[[3748096, 0, 147136, 0, 22416, 0, -244, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 73}
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id: 1283146
{'charpoly_factorization': [[[361, 133, 24, 2, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 79}
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id: 1283147
{'charpoly_factorization': [[[130321, 0, -44764, 0, 5806, 0, 41, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 83}
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id: 1283148
{'charpoly_factorization': [[[1936, -792, 124, 2, 1], 2]], 'hecke_orbit_code': 4504080697262830, 'p': 89}
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id: 1283149
{'charpoly_factorization': [[[130321, 0, -15884, 0, 766, 0, 1, 0, 1], 1]], 'hecke_orbit_code': 4504080697262830, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 2, 'label': '750.2.h.b', 'level': 750, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 23042989
{'hecke_orbit_code': 4504080697262830, 'n': 1, 'trace_an': 8}
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id: 23042990
{'hecke_orbit_code': 4504080697262830, 'n': 2, 'trace_an': 0}
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id: 23042991
{'hecke_orbit_code': 4504080697262830, 'n': 3, 'trace_an': 0}
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id: 23042992
{'hecke_orbit_code': 4504080697262830, 'n': 4, 'trace_an': 2}
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id: 23042993
{'hecke_orbit_code': 4504080697262830, 'n': 5, 'trace_an': 0}
-
id: 23042994
{'hecke_orbit_code': 4504080697262830, 'n': 6, 'trace_an': 2}
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id: 23042995
{'hecke_orbit_code': 4504080697262830, 'n': 7, 'trace_an': 0}
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id: 23042996
{'hecke_orbit_code': 4504080697262830, 'n': 8, 'trace_an': 0}
-
id: 23042997
{'hecke_orbit_code': 4504080697262830, 'n': 9, 'trace_an': 2}
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id: 23042998
{'hecke_orbit_code': 4504080697262830, 'n': 10, 'trace_an': 0}
-
id: 23042999
{'hecke_orbit_code': 4504080697262830, 'n': 11, 'trace_an': -10}
-
id: 23043000
{'hecke_orbit_code': 4504080697262830, 'n': 12, 'trace_an': 0}
-
id: 23043001
{'hecke_orbit_code': 4504080697262830, 'n': 13, 'trace_an': 0}
-
id: 23043002
{'hecke_orbit_code': 4504080697262830, 'n': 14, 'trace_an': 8}
-
id: 23043003
{'hecke_orbit_code': 4504080697262830, 'n': 15, 'trace_an': 0}
-
id: 23043004
{'hecke_orbit_code': 4504080697262830, 'n': 16, 'trace_an': -2}
-
id: 23043005
{'hecke_orbit_code': 4504080697262830, 'n': 17, 'trace_an': 0}
-
id: 23043006
{'hecke_orbit_code': 4504080697262830, 'n': 18, 'trace_an': 0}
-
id: 23043007
{'hecke_orbit_code': 4504080697262830, 'n': 19, 'trace_an': 32}
-
id: 23043008
{'hecke_orbit_code': 4504080697262830, 'n': 20, 'trace_an': 0}
-
id: 23043009
{'hecke_orbit_code': 4504080697262830, 'n': 21, 'trace_an': -2}
-
id: 23043010
{'hecke_orbit_code': 4504080697262830, 'n': 22, 'trace_an': 0}
-
id: 23043011
{'hecke_orbit_code': 4504080697262830, 'n': 23, 'trace_an': 0}
-
id: 23043012
{'hecke_orbit_code': 4504080697262830, 'n': 24, 'trace_an': 8}
-
id: 23043013
{'hecke_orbit_code': 4504080697262830, 'n': 25, 'trace_an': 0}
-
id: 23043014
{'hecke_orbit_code': 4504080697262830, 'n': 26, 'trace_an': -16}
-
id: 23043015
{'hecke_orbit_code': 4504080697262830, 'n': 27, 'trace_an': 0}
-
id: 23043016
{'hecke_orbit_code': 4504080697262830, 'n': 28, 'trace_an': 0}
-
id: 23043017
{'hecke_orbit_code': 4504080697262830, 'n': 29, 'trace_an': -12}
-
id: 23043018
{'hecke_orbit_code': 4504080697262830, 'n': 30, 'trace_an': 0}
-
id: 23043019
{'hecke_orbit_code': 4504080697262830, 'n': 31, 'trace_an': -6}
-
id: 23043020
{'hecke_orbit_code': 4504080697262830, 'n': 32, 'trace_an': 0}
-
id: 23043021
{'hecke_orbit_code': 4504080697262830, 'n': 33, 'trace_an': 0}
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id: 23043022
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