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mf_newforms • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 3, 'char_parity': 1, 'char_values': [1008, 3, [127, 757, 785, 577], [3, 3, 1, 2]], 'cm_discs': [], 'conrey_index': 193, 'conrey_indexes': [193, 961], 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [3, -6, 1, 1]], [11, [3, -6, 1, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526503095206896, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 7, 1, 3, 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mf_hecke_cc • Show schema
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-
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 3, 'char_parity': 1, 'char_values': [1008, 3, [127, 757, 785, 577], [3, 3, 1, 2]], 'conrey_index': 193, 'cusp_dim': 360, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 1305703613424, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 6, 6, 10, 14, 22, 22], 'label': '1008.2.t', 'level': 1008, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 408, 'mf_new_dim': 100, 'num_forms': 12, 'prim_orbit_index': 7, 'relative_dim': 46, 'sturm_bound': 384, 'trace_bound': 5, 'trace_display': [0, 1, -2, 1], 'traces': [92, 0, 1, 0, -2, 0, 1, 0, -1, 0, 2, 0, -2, 0, 7, 0, -2, 0, 2, 0, 0, 0, 2, 0, 74, 0, 4, 0, -6, 0, -7, 0, -13, 0, 9, 0, -2, 0, 7, 0, -2, 0, -4, 0, -17, 0, 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mf_twists_cc • Show schema
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id: 46404503
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 961, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31526503095206896, 'target_is_minimal': False, 'target_label': '1008.2.t.h.961.3', 'target_level': 1008, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46404504
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31526503095208912, 'target_is_minimal': False, 'target_label': '3024.2.t.h.289.3', 'target_level': 3024, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46404505
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279952003198, 'target_is_minimal': True, 'target_label': '126.2.h.d.79.1', 'target_level': 126, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46404506
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 529, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309406192, 'target_is_minimal': False, 'target_label': '1008.2.q.g.529.1', 'target_level': 1008, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46404507
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 625, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309406192, 'target_is_minimal': False, 'target_label': '1008.2.q.g.625.1', 'target_level': 1008, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46404508
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 2305, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309408208, 'target_is_minimal': False, 'target_label': '3024.2.q.g.2305.1', 'target_level': 3024, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46404509
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007680324632954, 'target_is_minimal': False, 'target_label': '378.2.h.c.289.3', 'target_level': 378, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46404510
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 2881, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309408208, 'target_is_minimal': False, 'target_label': '3024.2.q.g.2881.1', 'target_level': 3024, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46404511
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 655, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649202, 'target_is_minimal': False, 'target_label': '882.2.e.o.655.1', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46404512
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 25, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202494, 'target_is_minimal': True, 'target_label': '126.2.e.c.25.3', 'target_level': 126, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46404513
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 295, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050738414125938, 'target_is_minimal': False, 'target_label': '882.2.f.o.295.2', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46404514
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 295, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547138786755442, 'target_is_minimal': False, 'target_label': '882.2.f.n.295.2', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46404515
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554475480449906, 'target_is_minimal': False, 'target_label': '882.2.h.p.79.3', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46404516
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043607878861934, 'target_is_minimal': False, 'target_label': '1134.2.g.m.163.3', 'target_level': 1134, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46404517
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540008251491438, 'target_is_minimal': False, 'target_label': '1134.2.g.l.163.1', 'target_level': 1134, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46404518
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573242, 'target_is_minimal': False, 'target_label': '378.2.e.d.37.1', 'target_level': 378, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46404519
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 121, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202494, 'target_is_minimal': True, 'target_label': '126.2.e.c.121.3', 'target_level': 126, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 46404520
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 193, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31526503095206896, 'target_is_minimal': False, 'target_label': '1008.2.t.h.193.3', 'target_level': 1008, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46404521
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 1873, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31526503095208912, 'target_is_minimal': False, 'target_label': '3024.2.t.h.1873.3', 'target_level': 3024, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 46404522
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 235, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573242, 'target_is_minimal': False, 'target_label': '378.2.e.d.235.1', 'target_level': 378, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46404523
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539939532016214, 'target_is_minimal': False, 'target_label': '2646.2.f.l.883.1', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46404524
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043539159386710, 'target_is_minimal': False, 'target_label': '2646.2.f.m.883.3', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46404525
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 2125, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554269322021462, 'target_is_minimal': False, 'target_label': '2646.2.e.p.2125.3', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 46404526
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050875853081174, 'target_is_minimal': False, 'target_label': '2646.2.h.o.667.1', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 46404527
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 487, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540008251491438, 'target_is_minimal': False, 'target_label': '1134.2.g.l.487.1', 'target_level': 1134, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46404528
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 1765, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539939532016214, 'target_is_minimal': False, 'target_label': '2646.2.f.l.1765.1', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46404529
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554475480449906, 'target_is_minimal': False, 'target_label': '882.2.h.p.67.3', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 46404530
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029457666, 'target_is_minimal': False, 'target_label': '7938.2.a.bz.1.1', 'target_level': 7938, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46404531
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050875853081174, 'target_is_minimal': False, 'target_label': '2646.2.h.o.361.1', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 46404532
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279952003198, 'target_is_minimal': True, 'target_label': '126.2.h.d.67.1', 'target_level': 126, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 46404533
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 211669182519975682, 'target_is_minimal': False, 'target_label': '7938.2.a.bv.1.1', 'target_level': 7938, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 46404534
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007680324632954, 'target_is_minimal': False, 'target_label': '378.2.h.c.361.3', 'target_level': 378, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 46404535
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 589, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050738414125938, 'target_is_minimal': False, 'target_label': '882.2.f.o.589.2', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 46404536
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 1765, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043539159386710, 'target_is_minimal': False, 'target_label': '2646.2.f.m.1765.3', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 46404537
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649202, 'target_is_minimal': False, 'target_label': '882.2.e.o.373.1', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 46404538
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 487, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043607878861934, 'target_is_minimal': False, 'target_label': '1134.2.g.m.487.3', 'target_level': 1134, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.151', 'twisting_conrey_index': 151, 'weight': 2}
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id: 46404539
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 1549, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554269322021462, 'target_is_minimal': False, 'target_label': '2646.2.e.p.1549.3', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.167', 'twisting_conrey_index': 167, 'weight': 2}
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id: 46404540
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 216172782147346178, 'target_is_minimal': False, 'target_label': '7938.2.a.bw.1.3', 'target_level': 7938, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.187', 'twisting_conrey_index': 187, 'weight': 2}
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id: 46404541
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 234187180656828162, 'target_is_minimal': False, 'target_label': '7938.2.a.ca.1.3', 'target_level': 7938, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.191', 'twisting_conrey_index': 191, 'weight': 2}
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id: 46404542
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31526503095206896, 'source_is_minimal': False, 'source_label': '1008.2.t.h.961.3', 'source_level': 1008, 'target_conrey_index': 589, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547138786755442, 'target_is_minimal': False, 'target_label': '882.2.f.n.589.2', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.3', 'twist_class_level': 126, 'twisting_char_label': '252.247', 'twisting_conrey_index': 247, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1591600
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 31526503095206896, 'p': 2}
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id: 1591601
{'charpoly_factorization': [[[27, 18, 12, 3, 4, 2, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 3}
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id: 1591602
{'charpoly_factorization': [[[3, -6, 1, 1], 2]], 'hecke_orbit_code': 31526503095206896, 'p': 5}
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id: 1591603
{'charpoly_factorization': [[[343, -196, 98, -55, 14, -4, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 7}
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id: 1591604
{'charpoly_factorization': [[[3, -6, 1, 1], 2]], 'hecke_orbit_code': 31526503095206896, 'p': 11}
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id: 1591605
{'charpoly_factorization': [[[4761, 69, 553, -146, 63, -8, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 13}
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id: 1591606
{'charpoly_factorization': [[[576, 288, 240, 0, 28, 4, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 17}
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id: 1591607
{'charpoly_factorization': [[[2401, -1764, 1443, 10, 45, -3, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 19}
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id: 1591608
{'charpoly_factorization': [[[3, 12, 7, 1], 2]], 'hecke_orbit_code': 31526503095206896, 'p': 23}
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id: 1591609
{'charpoly_factorization': [[[131769, 23958, 6171, 396, 91, 5, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 29}
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id: 1591610
{'charpoly_factorization': [[[40401, 24321, 10621, 2018, 279, 20, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 31}
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id: 1591611
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 31526503095206896, 'p': 37}
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id: 1591612
{'charpoly_factorization': [[[81, 297, 1089, 18, 33, 0, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 41}
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id: 1591613
{'charpoly_factorization': [[[16129, -8763, 5523, 160, 105, -6, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 43}
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id: 1591614
{'charpoly_factorization': [[[35721, -10206, 4617, 108, 135, -9, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 47}
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id: 1591615
{'charpoly_factorization': [[[6561, -5346, 3141, -828, 159, -15, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 53}
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id: 1591616
{'charpoly_factorization': [[[3969, 2457, 2403, -672, 157, -14, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 59}
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id: 1591617
{'charpoly_factorization': [[[8649, -465, 769, -146, 69, -8, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 61}
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id: 1591618
{'charpoly_factorization': [[[44521, 23632, 12755, 310, 113, 1, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 67}
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id: 1591619
{'charpoly_factorization': [[[-1593, -198, 7, 1], 2]], 'hecke_orbit_code': 31526503095206896, 'p': 71}
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id: 1591620
{'charpoly_factorization': [[[398161, 5048, 12053, -1414, 353, -19, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 73}
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id: 1591621
{'charpoly_factorization': [[[103041, 23754, 7081, 272, 99, 5, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 79}
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id: 1591622
{'charpoly_factorization': [[[21609, 9261, 4263, 168, 67, 2, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 83}
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id: 1591623
{'charpoly_factorization': [[[81, -378, 1683, -396, 123, 9, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 89}
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id: 1591624
{'charpoly_factorization': [[[61504, -52576, 38000, -5440, 572, -28, 1], 1]], 'hecke_orbit_code': 31526503095206896, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 8, 'label': '1008.2.t.h', 'level': 1008, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 194662000
{'hecke_orbit_code': 31526503095206896, 'n': 1, 'trace_an': 6}
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id: 194662001
{'hecke_orbit_code': 31526503095206896, 'n': 2, 'trace_an': 0}
-
id: 194662002
{'hecke_orbit_code': 31526503095206896, 'n': 3, 'trace_an': -2}
-
id: 194662003
{'hecke_orbit_code': 31526503095206896, 'n': 4, 'trace_an': 0}
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id: 194662004
{'hecke_orbit_code': 31526503095206896, 'n': 5, 'trace_an': -2}
-
id: 194662005
{'hecke_orbit_code': 31526503095206896, 'n': 6, 'trace_an': 0}
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id: 194662006
{'hecke_orbit_code': 31526503095206896, 'n': 7, 'trace_an': 4}
-
id: 194662007
{'hecke_orbit_code': 31526503095206896, 'n': 8, 'trace_an': 0}
-
id: 194662008
{'hecke_orbit_code': 31526503095206896, 'n': 9, 'trace_an': -4}
-
id: 194662009
{'hecke_orbit_code': 31526503095206896, 'n': 10, 'trace_an': 0}
-
id: 194662010
{'hecke_orbit_code': 31526503095206896, 'n': 11, 'trace_an': -2}
-
id: 194662011
{'hecke_orbit_code': 31526503095206896, 'n': 12, 'trace_an': 0}
-
id: 194662012
{'hecke_orbit_code': 31526503095206896, 'n': 13, 'trace_an': 8}
-
id: 194662013
{'hecke_orbit_code': 31526503095206896, 'n': 14, 'trace_an': 0}
-
id: 194662014
{'hecke_orbit_code': 31526503095206896, 'n': 15, 'trace_an': -12}
-
id: 194662015
{'hecke_orbit_code': 31526503095206896, 'n': 16, 'trace_an': 0}
-
id: 194662016
{'hecke_orbit_code': 31526503095206896, 'n': 17, 'trace_an': -4}
-
id: 194662017
{'hecke_orbit_code': 31526503095206896, 'n': 18, 'trace_an': 0}
-
id: 194662018
{'hecke_orbit_code': 31526503095206896, 'n': 19, 'trace_an': 3}
-
id: 194662019
{'hecke_orbit_code': 31526503095206896, 'n': 20, 'trace_an': 0}
-
id: 194662020
{'hecke_orbit_code': 31526503095206896, 'n': 21, 'trace_an': -7}
-
id: 194662021
{'hecke_orbit_code': 31526503095206896, 'n': 22, 'trace_an': 0}
-
id: 194662022
{'hecke_orbit_code': 31526503095206896, 'n': 23, 'trace_an': -14}
-
id: 194662023
{'hecke_orbit_code': 31526503095206896, 'n': 24, 'trace_an': 0}
-
id: 194662024
{'hecke_orbit_code': 31526503095206896, 'n': 25, 'trace_an': -4}
-
id: 194662025
{'hecke_orbit_code': 31526503095206896, 'n': 26, 'trace_an': 0}
-
id: 194662026
{'hecke_orbit_code': 31526503095206896, 'n': 27, 'trace_an': 7}
-
id: 194662027
{'hecke_orbit_code': 31526503095206896, 'n': 28, 'trace_an': 0}
-
id: 194662028
{'hecke_orbit_code': 31526503095206896, 'n': 29, 'trace_an': -5}
-
id: 194662029
{'hecke_orbit_code': 31526503095206896, 'n': 30, 'trace_an': 0}
-
id: 194662030
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{'hecke_orbit_code': 31526503095206896, 'n': 991, 'trace_an': -66}
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id: 194662991
{'hecke_orbit_code': 31526503095206896, 'n': 992, 'trace_an': 0}
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id: 194662992
{'hecke_orbit_code': 31526503095206896, 'n': 993, 'trace_an': -20}
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id: 194662993
{'hecke_orbit_code': 31526503095206896, 'n': 994, 'trace_an': 0}
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id: 194662994
{'hecke_orbit_code': 31526503095206896, 'n': 995, 'trace_an': 7}
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id: 194662995
{'hecke_orbit_code': 31526503095206896, 'n': 996, 'trace_an': 0}
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id: 194662996
{'hecke_orbit_code': 31526503095206896, 'n': 997, 'trace_an': -18}
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id: 194662997
{'hecke_orbit_code': 31526503095206896, 'n': 998, 'trace_an': 0}
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id: 194662998
{'hecke_orbit_code': 31526503095206896, 'n': 999, 'trace_an': 8}
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id: 194662999
{'hecke_orbit_code': 31526503095206896, 'n': 1000, 'trace_an': 0}