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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, 2, 4, 3, 1]], [3, [1, -1, 0, 1, -1, 1, 0, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007611605156801, '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.c', '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}^{6})q^{2}+\\zeta_{15}^{7}q^{3}+(1-\\zeta_{15}^{2}+\\cdots)q^{4}+\\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': [-6, 1, 6, 3], 'trace_hash': 1072383281076993489, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.185', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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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
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id: 40969971
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40969972
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40969973
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40969974
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40969975
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40969976
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40969977
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40969978
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 40969979
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 40969980
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 40969981
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40969982
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 40969983
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40969984
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40969985
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 40969986
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 40969987
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 40969988
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 40969989
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 40969990
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 40969991
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 40969992
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 40969993
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 40969994
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 40969995
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 40969996
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 40969997
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 40969998
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 40969999
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 40970000
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 40970001
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '93.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40970002
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '93.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 40970003
{'conductor': 93, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '93.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 40970004
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '93.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 40970005
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '124.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 40970006
{'conductor': 124, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '124.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 40970007
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '155.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40970008
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '155.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 40970009
{'conductor': 155, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '155.57', 'twisting_conrey_index': 57, 'weight': 2}
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id: 40970010
{'conductor': 155, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '155.88', 'twisting_conrey_index': 88, 'weight': 2}
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id: 40970011
{'conductor': 155, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '155.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 40970012
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': 1, 'source_conrey_index': 816, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007611605156801, 'source_is_minimal': False, 'source_label': '961.2.g.c.816.1', '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': '155.137', 'twisting_conrey_index': 137, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1541325
{'charpoly_factorization': [[[1, 2, 4, 3, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 2}
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id: 1541326
{'charpoly_factorization': [[[1, -1, 0, 1, -1, 1, 0, -1, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 3}
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id: 1541327
{'charpoly_factorization': [[[1, -3, 8, -3, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 5}
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id: 1541328
{'charpoly_factorization': [[[6561, -2187, 0, 243, -81, 27, 0, -3, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 7}
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id: 1541329
{'charpoly_factorization': [[[256, -512, 640, -832, 624, 112, -20, 2, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 11}
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id: 1541330
{'charpoly_factorization': [[[6561, -6561, 3645, -1944, 729, -54, 0, -6, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 13}
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id: 1541331
{'charpoly_factorization': [[[1, 7, 30, 127, 339, 43, -10, 3, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 17}
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id: 1541332
{'charpoly_factorization': [[[390625, -78125, 0, 3125, -625, 125, 0, -5, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 19}
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id: 1541333
{'charpoly_factorization': [[[361, 171, 61, 11, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 23}
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id: 1541334
{'charpoly_factorization': [[[3025, 550, 60, 5, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 29}
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id: 1541335
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007611605156801, 'p': 31}
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id: 1541336
{'charpoly_factorization': [[[1, -4, 17, 4, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 37}
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id: 1541337
{'charpoly_factorization': [[[65536, 49152, 20480, 8192, 2304, 128, 0, 8, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 41}
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id: 1541338
{'charpoly_factorization': [[[14641, -7986, 2420, -814, 69, 116, -15, -1, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 43}
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id: 1541339
{'charpoly_factorization': [[[361, -38, 24, -7, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 47}
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id: 1541340
{'charpoly_factorization': [[[6561, -6561, -7290, -10449, 27459, -3429, 270, -21, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 53}
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id: 1541341
{'charpoly_factorization': [[[625, -1875, 3500, -6625, 7575, 575, -60, 5, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 59}
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id: 1541342
{'charpoly_factorization': [[[-76, 4, 1], 4]], 'hecke_orbit_code': 9007611605156801, 'p': 61}
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id: 1541343
{'charpoly_factorization': [[[1, 4, 17, -4, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 67}
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id: 1541344
{'charpoly_factorization': [[[1, -18, 200, -2218, 15249, -832, -75, -7, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 71}
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id: 1541345
{'charpoly_factorization': [[[96059601, -23287176, 2646270, -315414, 33939, -1674, 135, -21, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 73}
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id: 1541346
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007611605156801, 'p': 79}
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id: 1541347
{'charpoly_factorization': [[[707281, 268279, 21025, 7076, 3909, 706, 100, 14, 1], 1]], 'hecke_orbit_code': 9007611605156801, 'p': 83}
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id: 1541348
{'charpoly_factorization': [[[3025, 550, 60, 5, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 89}
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id: 1541349
{'charpoly_factorization': [[[9801, -2673, 279, 3, 1], 2]], 'hecke_orbit_code': 9007611605156801, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 3, 'label': '961.2.g.c', 'level': 961, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 30869935
{'hecke_orbit_code': 9007611605156801, 'n': 1, 'trace_an': 8}
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id: 30869936
{'hecke_orbit_code': 9007611605156801, 'n': 2, 'trace_an': -6}
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id: 30869937
{'hecke_orbit_code': 9007611605156801, 'n': 3, 'trace_an': 1}
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id: 30869938
{'hecke_orbit_code': 9007611605156801, 'n': 4, 'trace_an': 6}
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id: 30869939
{'hecke_orbit_code': 9007611605156801, 'n': 5, 'trace_an': 6}
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id: 30869940
{'hecke_orbit_code': 9007611605156801, 'n': 6, 'trace_an': -2}
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id: 30869941
{'hecke_orbit_code': 9007611605156801, 'n': 7, 'trace_an': 3}
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id: 30869942
{'hecke_orbit_code': 9007611605156801, 'n': 8, 'trace_an': -10}
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id: 30869943
{'hecke_orbit_code': 9007611605156801, 'n': 9, 'trace_an': -2}
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id: 30869944
{'hecke_orbit_code': 9007611605156801, 'n': 10, 'trace_an': -2}
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id: 30869945
{'hecke_orbit_code': 9007611605156801, 'n': 11, 'trace_an': -2}
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id: 30869946
{'hecke_orbit_code': 9007611605156801, 'n': 12, 'trace_an': 2}
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id: 30869947
{'hecke_orbit_code': 9007611605156801, 'n': 13, 'trace_an': 6}
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id: 30869948
{'hecke_orbit_code': 9007611605156801, 'n': 14, 'trace_an': -6}
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id: 30869949
{'hecke_orbit_code': 9007611605156801, 'n': 15, 'trace_an': -2}
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id: 30869950
{'hecke_orbit_code': 9007611605156801, 'n': 16, 'trace_an': 18}
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id: 30869951
{'hecke_orbit_code': 9007611605156801, 'n': 17, 'trace_an': -3}
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id: 30869952
{'hecke_orbit_code': 9007611605156801, 'n': 18, 'trace_an': -6}
-
id: 30869953
{'hecke_orbit_code': 9007611605156801, 'n': 19, 'trace_an': 5}
-
id: 30869954
{'hecke_orbit_code': 9007611605156801, 'n': 20, 'trace_an': 7}
-
id: 30869955
{'hecke_orbit_code': 9007611605156801, 'n': 21, 'trace_an': 3}
-
id: 30869956
{'hecke_orbit_code': 9007611605156801, 'n': 22, 'trace_an': -6}
-
id: 30869957
{'hecke_orbit_code': 9007611605156801, 'n': 23, 'trace_an': -22}
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id: 30869958
{'hecke_orbit_code': 9007611605156801, 'n': 24, 'trace_an': 5}
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id: 30869959
{'hecke_orbit_code': 9007611605156801, 'n': 25, 'trace_an': 6}
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id: 30869960
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