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mf_newforms • Show schema
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{'Nk2': 720, 'analytic_conductor': 1.4373072363830468, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [180, 6, [91, 101, 37], [6, 2, 3]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 169], 'dim': 12, 'field_disc': 820430394054672384, 'field_disc_factorization': [[2, 20], [3, 6], [181, 4]], 'field_poly': [729, 0, -324, 0, 90, 0, -6, 0, 10, 0, -4, 0, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1168264659124, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 3, 1, 3, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 720, 'analytic_conductor': 1.4373072363830468, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [180, 6, [91, 101, 37], [6, 2, 3]], 'conrey_index': 49, 'cusp_dim': 60, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 1168264659124, 'hecke_orbit_dims': [12], 'label': '180.2.r', 'level': 180, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 84, 'mf_new_dim': 12, 'num_forms': 1, 'prim_orbit_index': 10, 'relative_dim': 6, 'sturm_bound': 72, 'trace_bound': 0, 'trace_display': [0, 0, 1, 0], 'traces': [12, 0, 0, 0, 1, 0, 0, 0, 8, 0, 2, 0, 0, 0, -5, 0, 0, 0, 0, 0, 10, 0, 0, 0, -3, 0, 0, 0, -18, 0, 6, 0, 0, 0, -34, 0, 0, 0, -42, 0, 14, 0, 0, 0, -31, 0, 0, 0, 0, 0, 16, 0, 0, 0, -6, 0, 0, 0, -34, 0, 6, 0, 0, 0, 15, 0, 0, 0, 14, 0, 0, 0, 0, 0, 41, 0, 0, 0, -6, 0, -8, 0, 0, 0, -12, 0, 0, 0, 112, 0, 12, 0, 0, 0, 36, 0, 0, 0, 82, 0, 34, 0, 0, 0, -2, 0, 0, 0, 0, 0, 40, 0, 0, 0, -3, 0, 0, 0, -40, 0, -24, 0, 0, 0, -44, 0, 0, 0, -118, 0, 6, 0, 0, 0, -25, 0, 0, 0, -18, 0, -46, 0, 0, 0, -6, 0, 0, 0, -58, 0, -30, 0, 0, 0, 61, 0, 0, 0, 24, 0, -116, 0, 0, 0, 86, 0, 0, 0, 0, 0, -96, 0, 0, 0, 27, 0, 0, 0, 128, 0, -96, 0, 0, 0, 32, 0, 0, 0, 110, 0, -6, 0, 0, 0, -27, 0, 0, 0, 0, 0, 14, 0, 0, 0, 27, 0, 0, 0, -96, 0, 6, 0, 0, 0, -98, 0, 0, 0, -112, 0, 48, 0, 0, 0, -111, 0, 0, 0, 30, 0, 14, 0, 0, 0, 78, 0, 0, 0, -74, 0, 30, 0, 0, 0, 36, 0, 0, 0, 74, 0, -48, 0, 0, 0, 100, 0, 0, 0, 24, 0, 6, 0, 0, 0, 0, 0, 0, 0, 192, 0, 48, 0, 0, 0, 87, 0, 0, 0, 134, 0, 54, 0, 0, 0, 36, 0, 0, 0, 60, 0, 74, 0, 0, 0, -27, 0, 0, 0, -78, 0, 54, 0, 0, 0, -70, 0, 0, 0, -134, 0, -18, 0, 0, 0, -26, 0, 0, 0, 6, 0, -84, 0, 0, 0, -42, 0, 0, 0, -86, 0, 18, 0, 0, 0, 49, 0, 0, 0, -90, 0, -148, 0, 0, 0, 119, 0, 0, 0, -18, 0, -114, 0, 0, 0, -36, 0, 0, 0, 96, 0, 108, 0, 0, 0, 4, 0, 0, 0, 82, 0, -24, 0, 0, 0, -112, 0, 0, 0, -48, 0, 100, 0, 0, 0, -9, 0, 0, 0, -98, 0, -72, 0, 0, 0, -198, 0, 0, 0, -240, 0, 106, 0, 0, 0, -143, 0, 0, 0, -6, 0, 90, 0, 0, 0, -114, 0, 0, 0, -74, 0, -78, 0, 0, 0, 4, 0, 0, 0, 84, 0, 176, 0, 0, 0, 30, 0, 0, 0, -6, 0, 72, 0, 0, 0, 42, 0, 0, 0, 120, 0, -156, 0, 0, 0, 63, 0, 0, 0, 152, 0, 126, 0, 0, 0, 19, 0, 0, 0, -132, 0, 110, 0, 0, 0, 60, 0, 0, 0, 10, 0, 24, 0, 0, 0, -26, 0, 0, 0, -56, 0, 6, 0, 0, 0, -14, 0, 0, 0, 6, 0, -18, 0, 0, 0, 90, 0, 0, 0, -114, 0, 120, 0, 0, 0, 113, 0, 0, 0, 34, 0, -80, 0, 0, 0, 51, 0, 0, 0, 48, 0, -122, 0, 0, 0, -30, 0, 0, 0, 192, 0, 96, 0, 0, 0, -10, 0, 0, 0, 22, 0, 0, 0, 0, 0, -32, 0, 0, 0, 60, 0, 8, 0, 0, 0, -81, 0, 0, 0, -86, 0, 102, 0, 0, 0, -94, 0, 0, 0, -34, 0, 34, 0, 0, 0, -117, 0, 0, 0, -48, 0, 56, 0, 0, 0, -72, 0, 0, 0, 78, 0, 18, 0, 0, 0, -22, 0, 0, 0, -6, 0, 60, 0, 0, 0, 65, 0, 0, 0, -54, 0, 142, 0, 0, 0, -51, 0, 0, 0, 80, 0, 144, 0, 0, 0, 62, 0, 0, 0, 96, 0, 62, 0, 0, 0, 74, 0, 0, 0, -36, 0, -68, 0, 0, 0, -27, 0, 0, 0, -70, 0, -126, 0, 0, 0, 72, 0, 0, 0, -46, 0, -98, 0, 0, 0, 61, 0, 0, 0, -42, 0, -158, 0, 0, 0, -42, 0, 0, 0, -96, 0, -174, 0, 0, 0, 29, 0, 0, 0, -8, 0, -304, 0, 0, 0, 38, 0, 0, 0, -42, 0, -174, 0, 0, 0, 81, 0, 0, 0, -128, 0, -300, 0, 0, 0, -9, 0, 0, 0, -76, 0, -128, 0, 0, 0, -132, 0, 0, 0, 96, 0, -48, 0, 0, 0, 111, 0, 0, 0, 24, 0, -18, 0, 0, 0, -134, 0, 0, 0, -68, 0, 102, 0, 0, 0, -20, 0, 0, 0, 78, 0, 78, 0, 0, 0, 270, 0, 0, 0, 24, 0, 96, 0, 0, 0, -77, 0, 0, 0, 2, 0, 156, 0, 0, 0, -72, 0, 0, 0, 48, 0, 68, 0, 0, 0, 33, 0, 0, 0, 24, 0, 96, 0, 0, 0, 2, 0, 0, 0, 84, 0, -26, 0, 0, 0, 103, 0, 0, 0, 240, 0, 106, 0, 0, 0, -15, 0, 0, 0, 50, 0, 120, 0, 0, 0, 196, 0, 0, 0, -26, 0, -56, 0, 0, 0, 132, 0, 0, 0, 78, 0, -64, 0, 0, 0, -66, 0, 0, 0, -18, 0, 18, 0, 0, 0, 76, 0, 0, 0, 126, 0, -144, 0, 0, 0, 11, 0, 0, 0, 24, 0, -190, 0, 0, 0, -84, 0, 0, 0, -36, 0, 192, 0, 0, 0, -34, 0, 0, 0, -118, 0, -30, 0, 0, 0, 86, 0, 0, 0, -48, 0, -108, 0, 0, 0, -24, 0, 0, 0, 66, 0, -168, 0, 0, 0, -8, 0, 0, 0, 266, 0, 62, 0, 0, 0, -22, 0, 0, 0, -72, 0, 178, 0, 0, 0, -126, 0, 0, 0, 150, 0, -144, 0, 0, 0, -53, 0, 0, 0, -24, 0, 48, 0, 0, 0, -42, 0, 0, 0, 12, 0, 268, 0, 0, 0, 108, 0, 0, 0, 68, 0, -384, 0, 0, 0, 36, 0, 0, 0, -88, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 14393883
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1168264659124, 'target_is_minimal': True, 'target_label': '180.2.r.a.49.4', 'target_level': 180, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 14393884
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 469, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168264659484, 'target_is_minimal': False, 'target_label': '540.2.r.a.469.1', 'target_level': 540, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 14393885
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18017834516873936, 'target_is_minimal': False, 'target_label': '720.2.by.e.49.3', 'target_level': 720, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 14393886
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518547926221700, 'target_is_minimal': False, 'target_label': '900.2.i.f.301.6', 'target_level': 900, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 14393887
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221700, 'target_is_minimal': False, 'target_label': '900.2.i.f.301.1', 'target_level': 900, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 14393888
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1168264659124, 'target_is_minimal': True, 'target_label': '180.2.r.a.49.3', 'target_level': 180, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 14393889
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 289, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 1168264659484, 'target_is_minimal': False, 'target_label': '540.2.r.a.289.5', 'target_level': 540, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 14393890
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007405446727252, 'target_is_minimal': False, 'target_label': '1620.2.d.c.649.3', 'target_level': 1620, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 14393891
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511005074097748, 'target_is_minimal': False, 'target_label': '1620.2.d.d.649.4', 'target_level': 1620, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 14393892
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 169, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1168264659124, 'target_is_minimal': True, 'target_label': '180.2.r.a.169.3', 'target_level': 180, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 14393893
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 1009, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017834516875376, 'target_is_minimal': False, 'target_label': '2160.2.by.e.1009.1', 'target_level': 2160, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 14393894
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926223500, 'target_is_minimal': False, 'target_label': '2700.2.i.f.901.3', 'target_level': 2700, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 14393895
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518547926223500, 'target_is_minimal': False, 'target_label': '2700.2.i.f.901.4', 'target_level': 2700, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 14393896
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 469, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 1168264659484, 'target_is_minimal': False, 'target_label': '540.2.r.a.469.5', 'target_level': 540, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 14393897
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18017834516873936, 'target_is_minimal': False, 'target_label': '720.2.by.e.49.4', 'target_level': 720, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 14393898
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 529, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18017834516873936, 'target_is_minimal': False, 'target_label': '720.2.by.e.529.4', 'target_level': 720, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 14393899
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 289, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18017834516875376, 'target_is_minimal': False, 'target_label': '2160.2.by.e.289.5', 'target_level': 2160, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 14393900
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 1801, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926223500, 'target_is_minimal': False, 'target_label': '2700.2.i.f.1801.3', 'target_level': 2700, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 14393901
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007405446727252, 'target_is_minimal': False, 'target_label': '1620.2.d.c.649.4', 'target_level': 1620, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 14393902
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 601, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518547926221700, 'target_is_minimal': False, 'target_label': '900.2.i.f.601.6', 'target_level': 900, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 14393903
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599936420, 'target_is_minimal': False, 'target_label': '8100.2.a.bc.1.3', 'target_level': 8100, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 14393904
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511005074097748, 'target_is_minimal': False, 'target_label': '1620.2.d.d.649.3', 'target_level': 1620, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 14393905
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 126100789599936420, 'target_is_minimal': False, 'target_label': '8100.2.a.bc.1.4', 'target_level': 8100, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 14393906
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 130604389227306916, 'target_is_minimal': False, 'target_label': '8100.2.a.bd.1.3', 'target_level': 8100, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 14393907
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 289, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168264659484, 'target_is_minimal': False, 'target_label': '540.2.r.a.289.1', 'target_level': 540, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 14393908
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 130604389227306916, 'target_is_minimal': False, 'target_label': '8100.2.a.bd.1.4', 'target_level': 8100, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 14393909
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 169, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1168264659124, 'target_is_minimal': True, 'target_label': '180.2.r.a.169.4', 'target_level': 180, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 14393910
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 1801, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518547926223500, 'target_is_minimal': False, 'target_label': '2700.2.i.f.1801.4', 'target_level': 2700, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 14393911
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 601, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221700, 'target_is_minimal': False, 'target_label': '900.2.i.f.601.1', 'target_level': 900, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 14393912
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 1009, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18017834516875376, 'target_is_minimal': False, 'target_label': '2160.2.by.e.1009.5', 'target_level': 2160, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 14393913
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 529, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18017834516873936, 'target_is_minimal': False, 'target_label': '720.2.by.e.529.3', 'target_level': 720, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '180.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 14393914
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 1168264659124, 'source_is_minimal': True, 'source_label': '180.2.r.a.49.4', 'source_level': 180, 'target_conrey_index': 289, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017834516875376, 'target_is_minimal': False, 'target_label': '2160.2.by.e.289.1', 'target_level': 2160, 'twist_class_label': '180.2.r.a.49.3', 'twist_class_level': 180, 'twisting_char_label': '180.119', 'twisting_conrey_index': 119, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 459325
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1168264659124, 'p': 2}
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id: 459326
{'charpoly_factorization': [[[729, 0, -324, 0, 90, 0, -6, 0, 10, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 3}
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id: 459327
{'charpoly_factorization': [[[15625, -3125, 1250, 1625, 0, -145, 256, -29, 0, 13, 2, -1, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 5}
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id: 459328
{'charpoly_factorization': [[[14641, 0, -12705, 0, 8484, 0, -1963, 0, 336, 0, -21, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 7}
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id: 459329
{'charpoly_factorization': [[[2116, -1012, 530, -70, 23, -1, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 11}
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id: 459330
{'charpoly_factorization': [[[104976, 0, -116640, 0, 116964, 0, -13392, 0, 1161, 0, -39, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 13}
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id: 459331
{'charpoly_factorization': [[[64, 0, 108, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 17}
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id: 459332
{'charpoly_factorization': [[[72, -42, 0, 1], 4]], 'hecke_orbit_code': 1168264659124, 'p': 19}
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id: 459333
{'charpoly_factorization': [[[815730721, 0, -81141801, 0, 5415108, 0, -207091, 0, 5808, 0, -93, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 23}
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id: 459334
{'charpoly_factorization': [[[9, 3, 1], 6]], 'hecke_orbit_code': 1168264659124, 'p': 29}
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id: 459335
{'charpoly_factorization': [[[128164, -27924, 7158, -482, 87, -3, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 31}
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id: 459336
{'charpoly_factorization': [[[256, 0, 396, 0, 60, 0, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 37}
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id: 459337
{'charpoly_factorization': [[[9409, -1843, 1040, -61, 68, -7, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 41}
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id: 459338
{'charpoly_factorization': [[[8318169616, 0, -1284881952, 0, 177403620, 0, -3071920, 0, 39273, 0, -231, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 43}
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id: 459339
{'charpoly_factorization': [[[923521, 0, -919677, 0, 814944, 0, -98563, 0, 10068, 0, -105, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 47}
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id: 459340
{'charpoly_factorization': [[[331776, 0, 20016, 0, 264, 0, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 53}
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id: 459341
{'charpoly_factorization': [[[7744, 7040, 4904, 1184, 209, 17, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 59}
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id: 459342
{'charpoly_factorization': [[[961, 1209, 1428, 179, 48, -3, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 61}
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id: 459343
{'charpoly_factorization': [[[214358881, 0, -37202781, 0, 4919376, 0, -237523, 0, 8484, 0, -105, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 67}
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id: 459344
{'charpoly_factorization': [[[-72, -42, 0, 1], 4]], 'hecke_orbit_code': 1168264659124, 'p': 71}
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id: 459345
{'charpoly_factorization': [[[369664, 0, 30144, 0, 384, 0, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 73}
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id: 459346
{'charpoly_factorization': [[[11664, 15552, 21060, -216, 153, 3, 1], 2]], 'hecke_orbit_code': 1168264659124, 'p': 79}
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id: 459347
{'charpoly_factorization': [[[3637263079921, 0, -94673379201, 0, 1691828676, 0, -16290283, 0, 114384, 0, -405, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 83}
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id: 459348
{'charpoly_factorization': [[[-662, 245, -28, 1], 4]], 'hecke_orbit_code': 1168264659124, 'p': 89}
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id: 459349
{'charpoly_factorization': [[[3102044416, 0, -477203328, 0, 54529680, 0, -2793160, 0, 106353, 0, -339, 0, 1], 1]], 'hecke_orbit_code': 1168264659124, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 18, 'hecke_orbit': 1, 'label': '180.2.r.a', 'level': 180, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47927000
{'hecke_orbit_code': 1168264659124, 'n': 1, 'trace_an': 12}
-
id: 47927001
{'hecke_orbit_code': 1168264659124, 'n': 2, 'trace_an': 0}
-
id: 47927002
{'hecke_orbit_code': 1168264659124, 'n': 3, 'trace_an': 0}
-
id: 47927003
{'hecke_orbit_code': 1168264659124, 'n': 4, 'trace_an': 0}
-
id: 47927004
{'hecke_orbit_code': 1168264659124, 'n': 5, 'trace_an': 1}
-
id: 47927005
{'hecke_orbit_code': 1168264659124, 'n': 6, 'trace_an': 0}
-
id: 47927006
{'hecke_orbit_code': 1168264659124, 'n': 7, 'trace_an': 0}
-
id: 47927007
{'hecke_orbit_code': 1168264659124, 'n': 8, 'trace_an': 0}
-
id: 47927008
{'hecke_orbit_code': 1168264659124, 'n': 9, 'trace_an': 8}
-
id: 47927009
{'hecke_orbit_code': 1168264659124, 'n': 10, 'trace_an': 0}
-
id: 47927010
{'hecke_orbit_code': 1168264659124, 'n': 11, 'trace_an': 2}
-
id: 47927011
{'hecke_orbit_code': 1168264659124, 'n': 12, 'trace_an': 0}
-
id: 47927012
{'hecke_orbit_code': 1168264659124, 'n': 13, 'trace_an': 0}
-
id: 47927013
{'hecke_orbit_code': 1168264659124, 'n': 14, 'trace_an': 0}
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id: 47927014
{'hecke_orbit_code': 1168264659124, 'n': 15, 'trace_an': -5}
-
id: 47927015
{'hecke_orbit_code': 1168264659124, 'n': 16, 'trace_an': 0}
-
id: 47927016
{'hecke_orbit_code': 1168264659124, 'n': 17, 'trace_an': 0}
-
id: 47927017
{'hecke_orbit_code': 1168264659124, 'n': 18, 'trace_an': 0}
-
id: 47927018
{'hecke_orbit_code': 1168264659124, 'n': 19, 'trace_an': 0}
-
id: 47927019
{'hecke_orbit_code': 1168264659124, 'n': 20, 'trace_an': 0}
-
id: 47927020
{'hecke_orbit_code': 1168264659124, 'n': 21, 'trace_an': 10}
-
id: 47927021
{'hecke_orbit_code': 1168264659124, 'n': 22, 'trace_an': 0}
-
id: 47927022
{'hecke_orbit_code': 1168264659124, 'n': 23, 'trace_an': 0}
-
id: 47927023
{'hecke_orbit_code': 1168264659124, 'n': 24, 'trace_an': 0}
-
id: 47927024
{'hecke_orbit_code': 1168264659124, 'n': 25, 'trace_an': -3}
-
id: 47927025
{'hecke_orbit_code': 1168264659124, 'n': 26, 'trace_an': 0}
-
id: 47927026
{'hecke_orbit_code': 1168264659124, 'n': 27, 'trace_an': 0}
-
id: 47927027
{'hecke_orbit_code': 1168264659124, 'n': 28, 'trace_an': 0}
-
id: 47927028
{'hecke_orbit_code': 1168264659124, 'n': 29, 'trace_an': -18}
-
id: 47927029
{'hecke_orbit_code': 1168264659124, 'n': 30, 'trace_an': 0}
-
id: 47927030
{'hecke_orbit_code': 1168264659124, 'n': 31, 'trace_an': 6}
-
id: 47927031
{'hecke_orbit_code': 1168264659124, 'n': 32, 'trace_an': 0}
-
id: 47927032
{'hecke_orbit_code': 1168264659124, 'n': 33, 'trace_an': 0}
-
id: 47927033
{'hecke_orbit_code': 1168264659124, 'n': 34, 'trace_an': 0}
-
id: 47927034
{'hecke_orbit_code': 1168264659124, 'n': 35, 'trace_an': -34}
-
id: 47927035
{'hecke_orbit_code': 1168264659124, 'n': 36, 'trace_an': 0}
-
id: 47927036
{'hecke_orbit_code': 1168264659124, 'n': 37, 'trace_an': 0}
-
id: 47927037
{'hecke_orbit_code': 1168264659124, 'n': 38, 'trace_an': 0}
-
id: 47927038
{'hecke_orbit_code': 1168264659124, 'n': 39, 'trace_an': -42}
-
id: 47927039
{'hecke_orbit_code': 1168264659124, 'n': 40, 'trace_an': 0}
-
id: 47927040
{'hecke_orbit_code': 1168264659124, 'n': 41, 'trace_an': 14}
-
id: 47927041
{'hecke_orbit_code': 1168264659124, 'n': 42, 'trace_an': 0}
-
id: 47927042
{'hecke_orbit_code': 1168264659124, 'n': 43, 'trace_an': 0}
-
id: 47927043
{'hecke_orbit_code': 1168264659124, 'n': 44, 'trace_an': 0}
-
id: 47927044
{'hecke_orbit_code': 1168264659124, 'n': 45, 'trace_an': -31}
-
id: 47927045
{'hecke_orbit_code': 1168264659124, 'n': 46, 'trace_an': 0}
-
id: 47927046
{'hecke_orbit_code': 1168264659124, 'n': 47, 'trace_an': 0}
-
id: 47927047
{'hecke_orbit_code': 1168264659124, 'n': 48, 'trace_an': 0}
-
id: 47927048
{'hecke_orbit_code': 1168264659124, 'n': 49, 'trace_an': 0}
-
id: 47927049
{'hecke_orbit_code': 1168264659124, 'n': 50, 'trace_an': 0}
-
id: 47927050
{'hecke_orbit_code': 1168264659124, 'n': 51, 'trace_an': 16}
-
id: 47927051
{'hecke_orbit_code': 1168264659124, 'n': 52, 'trace_an': 0}
-
id: 47927052
{'hecke_orbit_code': 1168264659124, 'n': 53, 'trace_an': 0}
-
id: 47927053
{'hecke_orbit_code': 1168264659124, 'n': 54, 'trace_an': 0}
-
id: 47927054
{'hecke_orbit_code': 1168264659124, 'n': 55, 'trace_an': -6}
-
id: 47927055
{'hecke_orbit_code': 1168264659124, 'n': 56, 'trace_an': 0}
-
id: 47927056
{'hecke_orbit_code': 1168264659124, 'n': 57, 'trace_an': 0}
-
id: 47927057
{'hecke_orbit_code': 1168264659124, 'n': 58, 'trace_an': 0}
-
id: 47927058
{'hecke_orbit_code': 1168264659124, 'n': 59, 'trace_an': -34}
-
id: 47927059
{'hecke_orbit_code': 1168264659124, 'n': 60, 'trace_an': 0}
-
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