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mf_newforms • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [675, 3, [326, 352], [1, 3]], 'cm_discs': [], 'conrey_index': 226, 'conrey_indexes': [226, 451], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 4, 0, 15, 0, 4, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073793573539, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], '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, 0], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [675, 3, [326, 352], [1, 3]], 'conrey_index': 226, 'cusp_dim': 144, 'dim': 32, 'eis_dim': 72, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911462051, 'hecke_orbit_dims': [2, 6, 8, 8, 8], 'label': '675.2.e', 'level': 675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 216, 'mf_new_dim': 44, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 180, 'trace_bound': 2, 'trace_display': [-2, 0, 0, 2], 'traces': [32, -2, 0, -12, 0, 0, 2, 0, 0, 0, 6, 0, 2, -6, 0, -8, 4, 0, 8, 0, 0, -6, -6, 0, 0, 24, 0, -16, 6, 0, 4, -22, 0, -14, 0, 0, -4, 10, 0, 0, 6, 0, 2, -72, 0, -16, -20, 0, 10, 0, 0, -10, -8, 0, 0, -48, 0, -18, 42, 0, 10, 84, 0, 28, 0, 0, 8, 26, 0, 0, -24, 0, 8, 48, 0, -30, -6, 0, 2, 0, 0, 48, 6, 0, 0, -12, 0, -18, 60, 0, -60, -36, 0, -2, 0, 0, -16, -76, 0, 0, 12, 0, 14, 48, 0, -34, 36, 0, -40, 0, 0, -10, -8, 0, 0, 60, 0, 72, 42, 0, 2, -32, 0, -6, 0, 0, -16, 24, 0, 0, -30, 0, 34, -156, 0, 112, 0, 0, -4, 0, 0, 30, 40, 0, 0, 18, 0, 26, -18, 0, 10, 12, 0, 24, 0, 0, -4, 48, 0, 0, -96, 0, -76, -84, 0, 32, -24, 0, 28, 0, 0, -100, -36, 0, 0, -72, 0, -18, -72, 0, -56, -6, 0, 14, 0, 0, 12, -28, 0, 0, 36, 0, -22, 12, 0, 78, -72, 0, -4, 0, 0, 12, -6, 0, 0, 204, 0, -4, 30, 0, 16, 8, 0, 34, 0, 0, 52, 20, 0, 0, 66, 0, -28, 108, 0, -160, 2, 0, 2, 0, 0, 12, 108, 0, 0, 54, 0, 6, -90, 0, -20, 20, 0, -96, 0, 0, 40, -42, 0, 0, 48, 0, 84, 36, 0, -12, 60, 0, 30, 0, 0, 24, -34, 0, 0, 48, 0, 74, 24, 0, 64, 14, 0, 34, 0, 0, 14, -16, 0, 0, -66, 0, 38, 48, 0, -12, -24, 0, -36, 0, 0, -4, -42, 0, 0, -300, 0, -144, -96, 0, 54, 34, 0, -62, 0, 0, -52, 18, 0, 0, 144, 0, -34, 420, 0, 60, 74, 0, -6, 0, 0, -60, -32, 0, 0, -174, 0, -78, -72, 0, 28, -48, 0, 136, 0, 0, -28, 6, 0, 0, -192, 0, -32, 30, 0, -46, -2, 0, -10, 0, 0, 36, -60, 0, 0, -174, 0, -18, -144, 0, -168, 38, 0, 36, 0, 0, -10, -12, 0, 0, 60, 0, -4, -12, 0, -74, -76, 0, -76, 0, 0, 6, -54, 0, 0, -36, 0, 200, -174, 0, -40, 42, 0, -62, 0, 0, -16, 58, 0, 0, -30, 0, 16, -132, 0, 228, 8, 0, -34, 0, 0, 14, 120, 0, 0, 126, 0, 36, 108, 0, 10, -124, 0, -88, 0, 0, -44, 12, 0, 0, 300, 0, -76, 90, 0, 60, 54, 0, -4, 0, 0, -24, 0, 0, 0, 150, 0, -64, 264, 0, 156, 20, 0, -56, 0, 0, -22, -60, 0, 0, 108, 0, -82, -306, 0, 2, -4, 0, 60, 0, 0, 12, 16, 0, 0, 348, 0, -72, 36, 0, 0, 4, 0, 114, 0, 0, 116, -30, 0, 0, 24, 0, -30, -300, 0, -88, 54, 0, -4, 0, 0, 42, 32, 0, 0, -96, 0, 62, 36, 0, -42, -140, 0, 172, 0, 0, 6, 54, 0, 0, -216, 0, 80, -18, 0, -70, 0, 0, 54, 0, 0, 52, 2, 0, 0, 114, 0, 132, 204, 0, 88, -2, 0, -138, 0, 0, 26, 24, 0, 0, -30, 0, 64, 108, 0, 126, -72, 0, 96, 0, 0, 0, -12, 0, 0, -216, 0, -156, 6, 0, 46, 8, 0, -60, 0, 0, 8, -10, 0, 0, -192, 0, 12, -60, 0, 68, -42, 0, 46, 0, 0, -22, 68, 0, 0, 90, 0, -42, -90, 0, 4, 36, 0, 0, 0, 0, -88, 14, 0, 0, -204, 0, 92, -306, 0, 6, 60, 0, -118, 0, 0, -60, -30, 0, 0, -228, 0, -88, 84, 0, -80, 36, 0, -14, 0, 0, -12, 20, 0, 0, 144, 0, 32, 126, 0, -224, 64, 0, 24, 0, 0, 62, -58, 0, 0, 276, 0, 204, 180, 0, -140, -60, 0, -70, 0, 0, -132, -42, 0, 0, -18, 0, 98, 108, 0, -216, 54, 0, 78, 0, 0, -84, -132, 0, 0, 36, 0, 74, -126, 0, 28, 168, 0, -92, 0, 0, 54, -26, 0, 0, 60, 0, -56, 54, 0, 38, -36, 0, -82, 0, 0, -72, 42, 0, 0, 264, 0, -126, -300, 0, -84, -42, 0, 78, 0, 0, 8, -60, 0, 0, -258, 0, -100, 144, 0, 12, -108, 0, -28, 0, 0, -24, -14, 0, 0, -312, 0, -96, -102, 0, -128, 56, 0, 138, 0, 0, 20, -56, 0, 0, 132, 0, 16, 744, 0, -136, -32, 0, 128, 0, 0, 110, 144, 0, 0, -282, 0, -12, 72, 0, -126, -36, 0, -184, 0, 0, 110, 96, 0, 0, -276, 0, 76, 216, 0, -42, 14, 0, -44, 0, 0, 240, 16, 0, 0, -186, 0, 132, -240, 0, 268, -60, 0, -108, 0, 0, 52, -64, 0, 0, 120, 0, 56, -96, 0, 168, 280, 0, 236, 0, 0, -22, -4, 0, 0, -132, 0, -36, -114, 0, 110, 16, 0, 276, 0, 0, 44, 44, 0, 0, -114, 0, -58, -408, 0, -212, 10, 0, -64, 0, 0, -132, 56, 0, 0, 234, 0, -110, 192, 0, 102, 84, 0, 140, 0, 0, -70, -56, 0, 0, 624, 0, -40, 168, 0, 110, -126, 0, -18, 0, 0, 44, 10, 0, 0, 144, 0, -24, 180, 0, -16, -82, 0, 62, 0, 0, -52, 52, 0, 0, 126, 0, -18, -330, 0, 24, -24, 0, -16, 0, 0, -66, 80, 0, 0, 660, 0, 60, -54, 0, -56, -126, 0, -104, 0, 0, -112, 78, 0, 0, 234, 0, -24, -624, 0, 156, -84, 0, -126, 0, 0, 42, -140, 0, 0, -336, 0, 84, 186, 0, 96, -16, 0, -372, 0, 0, 38, -36, 0, 0, 60, 0, -176, -72, 0, 344, -14, 0, -54, 0, 0, -168, 18, 0, 0, -174, 0, -44, 204, 0, 40, -6, 0, 126, 0, 0, 44, -56, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43187986
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 226, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573539, 'target_is_minimal': False, 'target_label': '675.2.e.d.226.4', 'target_level': 675, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43187987
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 76, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573089, 'target_is_minimal': False, 'target_label': '225.2.e.d.76.1', 'target_level': 225, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43187988
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 64, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845191, 'target_is_minimal': False, 'target_label': '135.2.j.a.64.1', 'target_level': 135, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43187989
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 64, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618508845191, 'target_is_minimal': False, 'target_label': '135.2.j.a.64.4', 'target_level': 135, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43187990
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 226, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573539, 'target_is_minimal': False, 'target_label': '675.2.e.d.226.1', 'target_level': 675, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43187991
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573089, 'target_is_minimal': False, 'target_label': '225.2.e.d.151.1', 'target_level': 225, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43187992
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854889, 'target_is_minimal': False, 'target_label': '2025.2.a.r.1.1', 'target_level': 2025, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43187993
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568392953595881, 'target_is_minimal': False, 'target_label': '2025.2.a.t.1.4', 'target_level': 2025, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43187994
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573539, 'target_is_minimal': False, 'target_label': '675.2.e.d.451.4', 'target_level': 675, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43187995
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 4, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618508845101, 'target_is_minimal': True, 'target_label': '45.2.j.a.4.4', 'target_level': 45, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43187996
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 4, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845101, 'target_is_minimal': True, 'target_label': '45.2.j.a.4.1', 'target_level': 45, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43187997
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 76, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573089, 'target_is_minimal': False, 'target_label': '225.2.e.d.76.4', 'target_level': 225, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43187998
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 1009, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010635262134384, 'target_is_minimal': False, 'target_label': '2160.2.by.c.1009.2', 'target_level': 2160, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43187999
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 1009, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9010635262134384, 'target_is_minimal': False, 'target_label': '2160.2.by.c.1009.4', 'target_level': 2160, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43188000
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 34, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845101, 'target_is_minimal': True, 'target_label': '45.2.j.a.34.1', 'target_level': 45, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43188001
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561193698854889, 'target_is_minimal': False, 'target_label': '2025.2.a.r.1.4', 'target_level': 2025, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43188002
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618508845191, 'target_is_minimal': False, 'target_label': '135.2.j.a.19.4', 'target_level': 135, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43188003
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 244, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268007772565, 'target_is_minimal': False, 'target_label': '405.2.b.c.244.4', 'target_level': 405, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43188004
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953595881, 'target_is_minimal': False, 'target_label': '2025.2.a.t.1.1', 'target_level': 2025, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43188005
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 244, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007772565, 'target_is_minimal': False, 'target_label': '405.2.b.c.244.1', 'target_level': 405, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43188006
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 244, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143061, 'target_is_minimal': False, 'target_label': '405.2.b.d.244.1', 'target_level': 405, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43188007
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573089, 'target_is_minimal': False, 'target_label': '225.2.e.d.151.4', 'target_level': 225, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 43188008
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 244, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510867635143061, 'target_is_minimal': False, 'target_label': '405.2.b.d.244.4', 'target_level': 405, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43188009
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573539, 'target_is_minimal': False, 'target_label': '675.2.e.d.451.1', 'target_level': 675, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 43188010
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 34, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618508845101, 'target_is_minimal': True, 'target_label': '45.2.j.a.34.4', 'target_level': 45, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 43188011
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845191, 'target_is_minimal': False, 'target_label': '135.2.j.a.19.1', 'target_level': 135, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 43188012
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889503440, 'target_is_minimal': False, 'target_label': '720.2.by.d.49.1', 'target_level': 720, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43188013
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13514234889503440, 'target_is_minimal': False, 'target_label': '720.2.by.d.49.4', 'target_level': 720, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 43188014
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010635262134384, 'target_is_minimal': False, 'target_label': '2160.2.by.c.289.2', 'target_level': 2160, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '180.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43188015
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9010635262134384, 'target_is_minimal': False, 'target_label': '2160.2.by.c.289.4', 'target_level': 2160, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '180.43', 'twisting_conrey_index': 43, 'weight': 2}
-
id: 43188016
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889503440, 'target_is_minimal': False, 'target_label': '720.2.by.d.529.1', 'target_level': 720, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '180.47', 'twisting_conrey_index': 47, 'weight': 2}
-
id: 43188017
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511073793573539, 'source_is_minimal': False, 'source_label': '675.2.e.d.226.4', 'source_level': 675, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13514234889503440, 'target_is_minimal': False, 'target_label': '720.2.by.d.529.4', 'target_level': 720, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '180.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1194000
{'charpoly_factorization': [[[1, 0, 4, 0, 15, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 13511073793573539, 'p': 2}
-
id: 1194001
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13511073793573539, 'p': 3}
-
id: 1194002
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13511073793573539, 'p': 5}
-
id: 1194003
{'charpoly_factorization': [[[81, 0, 108, 0, 135, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 13511073793573539, 'p': 7}
-
id: 1194004
{'charpoly_factorization': [[[36, -36, 30, -6, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 11}
-
id: 1194005
{'charpoly_factorization': [[[36, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 13}
-
id: 1194006
{'charpoly_factorization': [[[4, 0, -28, 0, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 17}
-
id: 1194007
{'charpoly_factorization': [[[-2, -2, 1], 4]], 'hecke_orbit_code': 13511073793573539, 'p': 19}
-
id: 1194008
{'charpoly_factorization': [[[1, 0, 4, 0, 15, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 13511073793573539, 'p': 23}
-
id: 1194009
{'charpoly_factorization': [[[9, 18, 39, -6, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 29}
-
id: 1194010
{'charpoly_factorization': [[[4, 4, 6, -2, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 31}
-
id: 1194011
{'charpoly_factorization': [[[-18, 0, 1], 4]], 'hecke_orbit_code': 13511073793573539, 'p': 37}
-
id: 1194012
{'charpoly_factorization': [[[1089, -396, 111, -12, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 41}
-
id: 1194013
{'charpoly_factorization': [[[1296, 0, 3024, 0, 7020, 0, 84, 0, 1], 1]], 'hecke_orbit_code': 13511073793573539, 'p': 43}
-
id: 1194014
{'charpoly_factorization': [[[28561, 0, 4732, 0, 615, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 13511073793573539, 'p': 47}
-
id: 1194015
{'charpoly_factorization': [[[16, 0, -16, 0, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 53}
-
id: 1194016
{'charpoly_factorization': [[[576, -288, 120, -12, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 59}
-
id: 1194017
{'charpoly_factorization': [[[5041, -284, 87, 4, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 61}
-
id: 1194018
{'charpoly_factorization': [[[2313441, 0, 127764, 0, 5535, 0, 84, 0, 1], 1]], 'hecke_orbit_code': 13511073793573539, 'p': 67}
-
id: 1194019
{'charpoly_factorization': [[[54, 18, 1], 4]], 'hecke_orbit_code': 13511073793573539, 'p': 71}
-
id: 1194020
{'charpoly_factorization': [[[-72, 0, 1], 4]], 'hecke_orbit_code': 13511073793573539, 'p': 73}
-
id: 1194021
{'charpoly_factorization': [[[16, 32, 60, 8, 1], 2]], 'hecke_orbit_code': 13511073793573539, 'p': 79}
-
id: 1194022
{'charpoly_factorization': [[[47458321, 0, 1184908, 0, 22695, 0, 172, 0, 1], 1]], 'hecke_orbit_code': 13511073793573539, 'p': 83}
-
id: 1194023
{'charpoly_factorization': [[[-99, 6, 1], 4]], 'hecke_orbit_code': 13511073793573539, 'p': 89}
-
id: 1194024
{'charpoly_factorization': [[[592240896, 0, 8176896, 0, 88560, 0, 336, 0, 1], 1]], 'hecke_orbit_code': 13511073793573539, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '675.2.e.d', 'level': 675, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 141262000
{'hecke_orbit_code': 13511073793573539, 'n': 1, 'trace_an': 8}
-
id: 141262001
{'hecke_orbit_code': 13511073793573539, 'n': 2, 'trace_an': 0}
-
id: 141262002
{'hecke_orbit_code': 13511073793573539, 'n': 3, 'trace_an': 0}
-
id: 141262003
{'hecke_orbit_code': 13511073793573539, 'n': 4, 'trace_an': 0}
-
id: 141262004
{'hecke_orbit_code': 13511073793573539, 'n': 5, 'trace_an': 0}
-
id: 141262005
{'hecke_orbit_code': 13511073793573539, 'n': 6, 'trace_an': 0}
-
id: 141262006
{'hecke_orbit_code': 13511073793573539, 'n': 7, 'trace_an': 0}
-
id: 141262007
{'hecke_orbit_code': 13511073793573539, 'n': 8, 'trace_an': 0}
-
id: 141262008
{'hecke_orbit_code': 13511073793573539, 'n': 9, 'trace_an': 0}
-
id: 141262009
{'hecke_orbit_code': 13511073793573539, 'n': 10, 'trace_an': 0}
-
id: 141262010
{'hecke_orbit_code': 13511073793573539, 'n': 11, 'trace_an': 12}
-
id: 141262011
{'hecke_orbit_code': 13511073793573539, 'n': 12, 'trace_an': 0}
-
id: 141262012
{'hecke_orbit_code': 13511073793573539, 'n': 13, 'trace_an': 0}
-
id: 141262013
{'hecke_orbit_code': 13511073793573539, 'n': 14, 'trace_an': 0}
-
id: 141262014
{'hecke_orbit_code': 13511073793573539, 'n': 15, 'trace_an': 0}
-
id: 141262015
{'hecke_orbit_code': 13511073793573539, 'n': 16, 'trace_an': 4}
-
id: 141262016
{'hecke_orbit_code': 13511073793573539, 'n': 17, 'trace_an': 0}
-
id: 141262017
{'hecke_orbit_code': 13511073793573539, 'n': 18, 'trace_an': 0}
-
id: 141262018
{'hecke_orbit_code': 13511073793573539, 'n': 19, 'trace_an': 8}
-
id: 141262019
{'hecke_orbit_code': 13511073793573539, 'n': 20, 'trace_an': 0}
-
id: 141262020
{'hecke_orbit_code': 13511073793573539, 'n': 21, 'trace_an': 0}
-
id: 141262021
{'hecke_orbit_code': 13511073793573539, 'n': 22, 'trace_an': 0}
-
id: 141262022
{'hecke_orbit_code': 13511073793573539, 'n': 23, 'trace_an': 0}
-
id: 141262023
{'hecke_orbit_code': 13511073793573539, 'n': 24, 'trace_an': 0}
-
id: 141262024
{'hecke_orbit_code': 13511073793573539, 'n': 25, 'trace_an': 0}
-
id: 141262025
{'hecke_orbit_code': 13511073793573539, 'n': 26, 'trace_an': -24}
-
id: 141262026
{'hecke_orbit_code': 13511073793573539, 'n': 27, 'trace_an': 0}
-
id: 141262027
{'hecke_orbit_code': 13511073793573539, 'n': 28, 'trace_an': 0}
-
id: 141262028
{'hecke_orbit_code': 13511073793573539, 'n': 29, 'trace_an': 12}
-
id: 141262029
{'hecke_orbit_code': 13511073793573539, 'n': 30, 'trace_an': 0}
-
id: 141262030
{'hecke_orbit_code': 13511073793573539, 'n': 31, 'trace_an': 4}
-
id: 141262031
{'hecke_orbit_code': 13511073793573539, 'n': 32, 'trace_an': 0}
-
id: 141262032
{'hecke_orbit_code': 13511073793573539, 'n': 33, 'trace_an': 0}
-
id: 141262033
{'hecke_orbit_code': 13511073793573539, 'n': 34, 'trace_an': 4}
-
id: 141262034
{'hecke_orbit_code': 13511073793573539, 'n': 35, 'trace_an': 0}
-
id: 141262035
{'hecke_orbit_code': 13511073793573539, 'n': 36, 'trace_an': 0}
-
id: 141262036
{'hecke_orbit_code': 13511073793573539, 'n': 37, 'trace_an': 0}
-
id: 141262037
{'hecke_orbit_code': 13511073793573539, 'n': 38, 'trace_an': 0}
-
id: 141262038
{'hecke_orbit_code': 13511073793573539, 'n': 39, 'trace_an': 0}
-
id: 141262039
{'hecke_orbit_code': 13511073793573539, 'n': 40, 'trace_an': 0}
-
id: 141262040
{'hecke_orbit_code': 13511073793573539, 'n': 41, 'trace_an': 24}
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