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mf_newforms • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [961, 15, [3], [13]], 'cm_discs': [], 'conrey_index': 235, 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -3, 4, -2, 1]], [3, [1, 1, 0, -1, -1, -1, 0, 1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518410487268289, 'hecke_ring_generator_nbound': 3, '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, 31, 3, 1, 3, 0], [1, 1, 31, 4, 1, 5, 0], [1, 1, 31, 7, 1, 15, 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': '961.2.g.f', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'minimal_twist': '31.2.d.a', 'nf_label': '8.0.1265625.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(1+\\zeta_{15}^{3}+\\zeta_{15}^{6})q^{2}-\\zeta_{15}^{7}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '961.2.g', 'trace_display': [4, -1, 6, 3], 'trace_hash': 2296353545485742149, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.252', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'char_conductor': 31, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [961, 15, [3], [13]], 'conrey_index': 235, 'cusp_dim': 536, 'dim': 504, 'eis_dim': 256, 'eis_new_dim': 224, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 412350415809, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 8, 8, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 24, 96, 128], 'label': '961.2.g', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'mf_dim': 792, 'mf_new_dim': 728, 'num_forms': 23, 'prim_orbit_index': 7, 'relative_dim': 63, 'sturm_bound': 165, 'trace_bound': 7, 'trace_display': [6, 12, 3, -2], 'traces': [504, 6, 12, -86, 3, -11, -2, -23, 45, 5, 7, -5, 7, 9, -14, -38, 6, 3, -16, -34, 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mf_twists_cc • Show schema
Hide schema
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id: 45239951
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.448.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45239952
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609361345, 'target_is_minimal': False, 'target_label': '961.2.c.f.521.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45239953
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356097, 'target_is_minimal': False, 'target_label': '961.2.d.b.374.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45239954
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.844.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45239955
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.846.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45239956
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467585, 'target_is_minimal': False, 'target_label': '961.2.d.e.628.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45239957
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838081, 'target_is_minimal': False, 'target_label': '961.2.d.f.531.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45239958
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.338.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45239959
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.235.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45239960
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609361345, 'target_is_minimal': False, 'target_label': '961.2.c.f.439.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 45239961
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.547.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45239962
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543037377, 'target_is_minimal': False, 'target_label': '961.2.a.e.1.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 45239963
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.816.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45239964
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 16, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984671, 'target_is_minimal': True, 'target_label': '31.2.d.a.16.1', 'target_level': 31, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45239965
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.732.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 45239966
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.732.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 45239967
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356097, 'target_is_minimal': False, 'target_label': '961.2.d.b.388.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 45239968
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.816.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 45239969
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666881, 'target_is_minimal': False, 'target_label': '961.2.a.d.1.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45239970
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.547.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45239971
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620353, 'target_is_minimal': False, 'target_label': '961.2.c.d.439.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 45239972
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.235.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 45239973
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.338.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45239974
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467585, 'target_is_minimal': False, 'target_label': '961.2.d.e.531.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 45239975
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838081, 'target_is_minimal': False, 'target_label': '961.2.d.f.628.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 45239976
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.846.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 45239977
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.844.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45239978
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 2, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984671, 'target_is_minimal': True, 'target_label': '31.2.d.a.2.1', 'target_level': 31, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 45239979
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620353, 'target_is_minimal': False, 'target_label': '961.2.c.d.521.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45239980
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.448.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 45239981
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368599, 'target_is_minimal': False, 'target_label': '279.2.i.a.109.1', 'target_level': 279, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '93.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45239982
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797786057, 'target_is_minimal': False, 'target_label': '8649.2.a.g.1.1', 'target_level': 8649, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '93.50', 'twisting_conrey_index': 50, 'weight': 2}
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id: 45239983
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 64, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368599, 'target_is_minimal': False, 'target_label': '279.2.i.a.64.1', 'target_level': 279, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '93.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45239984
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170415561, 'target_is_minimal': False, 'target_label': '8649.2.a.f.1.1', 'target_level': 8649, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '93.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 45239985
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 33, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122992, 'target_is_minimal': False, 'target_label': '496.2.n.b.33.1', 'target_level': 496, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '124.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45239986
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 481, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122992, 'target_is_minimal': False, 'target_label': '496.2.n.b.481.1', 'target_level': 496, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '124.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 45239987
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 326, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063559, 'target_is_minimal': False, 'target_label': '775.2.k.c.326.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45239988
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.374.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 45239989
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 126, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063559, 'target_is_minimal': False, 'target_label': '775.2.k.c.126.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45239990
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 574, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.574.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 45239991
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 574, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.574.2', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.138', 'twisting_conrey_index': 138, 'weight': 2}
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id: 45239992
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 448, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518410487268289, 'source_is_minimal': False, 'source_label': '961.2.g.f.448.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.374.2', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.152', 'twisting_conrey_index': 152, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1541400
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 2}
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id: 1541401
{'charpoly_factorization': [[[1, 1, 0, -1, -1, -1, 0, 1, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 3}
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id: 1541402
{'charpoly_factorization': [[[1, -3, 8, -3, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 5}
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id: 1541403
{'charpoly_factorization': [[[6561, -2187, 0, 243, -81, 27, 0, -3, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 7}
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id: 1541404
{'charpoly_factorization': [[[256, -128, -320, -448, 624, 208, 40, 8, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 11}
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id: 1541405
{'charpoly_factorization': [[[6561, -4374, 0, -486, 729, -216, 45, -9, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 13}
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id: 1541406
{'charpoly_factorization': [[[1, 3, -10, 43, 339, 127, 30, 7, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 17}
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id: 1541407
{'charpoly_factorization': [[[390625, -78125, 0, 3125, -625, 125, 0, -5, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 19}
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id: 1541408
{'charpoly_factorization': [[[361, 209, 61, 9, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 23}
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id: 1541409
{'charpoly_factorization': [[[3025, -275, 60, -10, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 29}
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id: 1541410
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518410487268289, 'p': 31}
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id: 1541411
{'charpoly_factorization': [[[1, 4, 17, -4, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 37}
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id: 1541412
{'charpoly_factorization': [[[65536, -32768, 0, -2048, 2304, -512, 80, -12, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 41}
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id: 1541413
{'charpoly_factorization': [[[14641, 1331, -1815, -1276, 69, 74, 20, 6, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 43}
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id: 1541414
{'charpoly_factorization': [[[361, -133, 24, -2, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 47}
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id: 1541415
{'charpoly_factorization': [[[6561, -15309, 21870, -30861, 27459, -1161, -90, -9, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 53}
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id: 1541416
{'charpoly_factorization': [[[625, 625, -1500, 2875, 7575, -1325, 140, -15, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 59}
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id: 1541417
{'charpoly_factorization': [[[-76, -4, 1], 4]], 'hecke_orbit_code': 22518410487268289, 'p': 61}
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id: 1541418
{'charpoly_factorization': [[[1, 4, 17, -4, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 67}
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id: 1541419
{'charpoly_factorization': [[[1, 7, -75, 832, 15249, 2218, 200, 18, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 71}
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id: 1541420
{'charpoly_factorization': [[[96059601, -20376279, 1323135, -165726, 33939, -3186, 270, -24, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 73}
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id: 1541421
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518410487268289, 'p': 79}
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id: 1541422
{'charpoly_factorization': [[[707281, 341446, 84100, 20474, 3909, 244, 25, 11, 1], 1]], 'hecke_orbit_code': 22518410487268289, 'p': 83}
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id: 1541423
{'charpoly_factorization': [[[3025, -275, 60, -10, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 89}
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id: 1541424
{'charpoly_factorization': [[[9801, 297, 279, -27, 1], 2]], 'hecke_orbit_code': 22518410487268289, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 6, 'label': '961.2.g.f', 'level': 961, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 44486659
{'hecke_orbit_code': 22518410487268289, 'n': 1, 'trace_an': 8}
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id: 44486660
{'hecke_orbit_code': 22518410487268289, 'n': 2, 'trace_an': 4}
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id: 44486661
{'hecke_orbit_code': 22518410487268289, 'n': 3, 'trace_an': -1}
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id: 44486662
{'hecke_orbit_code': 22518410487268289, 'n': 4, 'trace_an': -4}
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id: 44486663
{'hecke_orbit_code': 22518410487268289, 'n': 5, 'trace_an': 6}
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id: 44486664
{'hecke_orbit_code': 22518410487268289, 'n': 6, 'trace_an': 2}
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id: 44486665
{'hecke_orbit_code': 22518410487268289, 'n': 7, 'trace_an': 3}
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id: 44486666
{'hecke_orbit_code': 22518410487268289, 'n': 8, 'trace_an': 10}
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id: 44486667
{'hecke_orbit_code': 22518410487268289, 'n': 9, 'trace_an': -2}
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id: 44486668
{'hecke_orbit_code': 22518410487268289, 'n': 10, 'trace_an': 3}
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id: 44486669
{'hecke_orbit_code': 22518410487268289, 'n': 11, 'trace_an': -8}
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id: 44486670
{'hecke_orbit_code': 22518410487268289, 'n': 12, 'trace_an': 3}
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id: 44486671
{'hecke_orbit_code': 22518410487268289, 'n': 13, 'trace_an': 9}
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id: 44486672
{'hecke_orbit_code': 22518410487268289, 'n': 14, 'trace_an': 9}
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id: 44486673
{'hecke_orbit_code': 22518410487268289, 'n': 15, 'trace_an': -8}
-
id: 44486674
{'hecke_orbit_code': 22518410487268289, 'n': 16, 'trace_an': -12}
-
id: 44486675
{'hecke_orbit_code': 22518410487268289, 'n': 17, 'trace_an': -7}
-
id: 44486676
{'hecke_orbit_code': 22518410487268289, 'n': 18, 'trace_an': 4}
-
id: 44486677
{'hecke_orbit_code': 22518410487268289, 'n': 19, 'trace_an': 5}
-
id: 44486678
{'hecke_orbit_code': 22518410487268289, 'n': 20, 'trace_an': -3}
-
id: 44486679
{'hecke_orbit_code': 22518410487268289, 'n': 21, 'trace_an': -3}
-
id: 44486680
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