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mf_newforms • Show schema
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{'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [450, 6, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_index': 49, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [256, 0, -16, 0, 1]], [11, [9, 3, 1]], [19, [5, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 618508845506, 'hecke_ring_generator_nbound': 2, '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, 0], [1, 1, 45, 10, 1, 6, 0]], 'is_cm': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [450, 6, [101, 127], [2, 3]], 'conrey_index': 49, 'cusp_dim': 156, 'dim': 36, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 19], 'hecke_orbit_code': 618508845506, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 8, 8], 'label': '450.2.j', 'level': 450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 204, 'mf_new_dim': 36, 'num_forms': 7, 'prim_orbit_index': 10, 'relative_dim': 18, 'sturm_bound': 180, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 18, 0, -8, 0, 0, 16, 0, -12, 0, 0, 12, 0, -18, 0, 0, 0, 0, 40, 0, 0, -4, 0, 24, 0, 0, 0, 0, 12, 0, 0, 0, 0, 8, 0, 0, -40, 0, -36, 0, 0, -24, 0, 24, 0, 0, 30, 0, -36, 0, 0, -22, 0, -12, 0, 0, -30, 0, -12, 0, 0, -36, 0, -6, 0, 0, 72, 0, -48, 0, 0, 36, 0, 0, 0, 0, 36, 0, -64, 0, 0, 32, 0, -6, 0, 0, -96, 0, 48, 0, 0, 12, 0, 4, 0, 0, 90, 0, -48, 0, 0, 12, 0, -24, 0, 0, -72, 0, 160, 0, 0, -44, 0, 0, 0, 0, -60, 0, -66, 0, 0, -12, 0, -16, 0, 0, -160, 0, -24, 0, 0, -24, 0, 0, 0, 0, -36, 0, -72, 0, 0, -8, 0, -24, 0, 0, -24, 0, 0, 0, 0, -24, 0, -20, 0, 0, 24, 0, 24, 0, 0, 36, 0, -12, 0, 0, 54, 0, 10, 0, 0, 36, 0, -12, 0, 0, 168, 0, 72, 0, 0, 12, 0, -16, 0, 0, 164, 0, 36, 0, 0, 66, 0, -30, 0, 0, 0, 0, 82, 0, 0, -6, 0, 192, 0, 0, -54, 0, -36, 0, 0, 36, 0, -8, 0, 0, -22, 0, 60, 0, 0, -24, 0, -48, 0, 0, 84, 0, 144, 0, 0, -116, 0, 30, 0, 0, 72, 0, -36, 0, 0, -24, 0, 30, 0, 0, -126, 0, 0, 0, 0, 72, 0, -18, 0, 0, -24, 0, -228, 0, 0, 54, 0, 0, 0, 0, 48, 0, 0, 0, 0, -24, 0, 60, 0, 0, 236, 0, 0, 0, 0, -24, 0, 60, 0, 0, -60, 0, -128, 0, 0, 0, 0, 72, 0, 0, -24, 0, 24, 0, 0, 0, 0, -30, 0, 0, -100, 0, 156, 0, 0, -168, 0, 72, 0, 0, 24, 0, 102, 0, 0, -32, 0, 0, 0, 0, -132, 0, -12, 0, 0, 96, 0, -8, 0, 0, -60, 0, -144, 0, 0, 6, 0, 0, 0, 0, 84, 0, -68, 0, 0, -24, 0, -48, 0, 0, 408, 0, 60, 0, 0, 24, 0, -28, 0, 0, -204, 0, 264, 0, 0, 120, 0, -12, 0, 0, -312, 0, -128, 0, 0, 8, 0, -192, 0, 0, 144, 0, -120, 0, 0, -48, 0, 84, 0, 0, -56, 0, -156, 0, 0, -96, 0, -120, 0, 0, -120, 0, -120, 0, 0, 12, 0, -12, 0, 0, -108, 0, -12, 0, 0, -48, 0, -108, 0, 0, -84, 0, 120, 0, 0, -24, 0, -36, 0, 0, -60, 0, 168, 0, 0, 164, 0, 12, 0, 0, 96, 0, -252, 0, 0, -78, 0, 74, 0, 0, -144, 0, 24, 0, 0, 0, 0, 42, 0, 0, 312, 0, -44, 0, 0, 28, 0, -120, 0, 0, -204, 0, -24, 0, 0, 66, 0, 4, 0, 0, -82, 0, 234, 0, 0, 72, 0, -24, 0, 0, 42, 0, 120, 0, 0, 40, 0, -120, 0, 0, -72, 0, -72, 0, 0, 36, 0, -92, 0, 0, 132, 0, -192, 0, 0, 24, 0, 120, 0, 0, 30, 0, 0, 0, 0, 138, 0, -12, 0, 0, -408, 0, 264, 0, 0, 0, 0, -128, 0, 0, 92, 0, -96, 0, 0, 12, 0, 36, 0, 0, 24, 0, 114, 0, 0, -120, 0, -72, 0, 0, -84, 0, 126, 0, 0, -60, 0, -16, 0, 0, 74, 0, -120, 0, 0, -48, 0, 264, 0, 0, 132, 0, -180, 0, 0, -192, 0, 24, 0, 0, -96, 0, 84, 0, 0, 0, 0, 120, 0, 0, 204, 0, -192, 0, 0, 36, 0, -12, 0, 0, -30, 0, -36, 0, 0, 20, 0, 30, 0, 0, 288, 0, -168, 0, 0, 12, 0, 24, 0, 0, 108, 0, 6, 0, 0, 12, 0, -30, 0, 0, 24, 0, 8, 0, 0, 148, 0, 72, 0, 0, -36, 0, 120, 0, 0, 12, 0, 212, 0, 0, -4, 0, 120, 0, 0, -384, 0, 108, 0, 0, -96, 0, 432, 0, 0, -88, 0, 108, 0, 0, 312, 0, -36, 0, 0, 48, 0, -24, 0, 0, 60, 0, 528, 0, 0, 12, 0, -54, 0, 0, -252, 0, 196, 0, 0, 168, 0, 84, 0, 0, 120, 0, -288, 0, 0, 36, 0, 268, 0, 0, 316, 0, -228, 0, 0, -72, 0, -12, 0, 0, 300, 0, 32, 0, 0, -44, 0, 24, 0, 0, 12, 0, 228, 0, 0, 120, 0, 64, 0, 0, 120, 0, 24, 0, 0, 72, 0, -264, 0, 0, 96, 0, -252, 0, 0, 136, 0, -66, 0, 0, 72, 0, 108, 0, 0, -60, 0, -72, 0, 0, -216, 0, -600, 0, 0, -120, 0, 0, 0, 0, -156, 0, -186, 0, 0, -52, 0, -264, 0, 0, -12, 0, -36, 0, 0, -72, 0, 30, 0, 0, -560, 0, 72, 0, 0, 96, 0, 168, 0, 0, 96, 0, -200, 0, 0, 124, 0, -108, 0, 0, 276, 0, 150, 0, 0, 36, 0, 120, 0, 0, 284, 0, -144, 0, 0, -120, 0, 72, 0, 0, -216, 0, -168, 0, 0, 14, 0, -24, 0, 0, -264, 0, 36, 0, 0, 216, 0, -158, 0, 0, -120, 0, 480, 0, 0, -60, 0, -60, 0, 0, 12, 0, 702, 0, 0, 36, 0, -12, 0, 0, -48, 0, 48, 0, 0, -24, 0, -268, 0, 0, -432, 0, 204, 0, 0, -48, 0, -84, 0, 0, -48, 0, -92, 0, 0, 12, 0, -144, 0, 0, 12, 0, -48, 0, 0, -174, 0, -172, 0, 0, -280, 0, -120, 0, 0, 60, 0, -48, 0, 0, -204, 0, -240, 0, 0, 0, 0, -72, 0, 0, -168, 0, -18, 0, 0, -72, 0, 48, 0, 0, 174, 0, -264, 0, 0, 180, 0, -12, 0, 0, -90, 0, -488, 0, 0, 6, 0, 48, 0, 0, -816, 0, -48, 0, 0, 24, 0, -210, 0, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 7039367
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845506, 'target_is_minimal': False, 'target_label': '450.2.j.a.49.1', 'target_level': 450, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 7039368
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007817763587398, 'target_is_minimal': False, 'target_label': '1350.2.j.c.199.2', 'target_level': 1350, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7039369
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 301, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573314, 'target_is_minimal': False, 'target_label': '450.2.e.d.301.1', 'target_level': 450, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7039370
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831962, 'target_is_minimal': True, 'target_label': '90.2.e.b.31.1', 'target_level': 90, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7039371
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618508845506, 'target_is_minimal': False, 'target_label': '450.2.j.a.49.2', 'target_level': 450, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7039372
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1099, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007817763587398, 'target_is_minimal': False, 'target_label': '1350.2.j.c.1099.1', 'target_level': 1350, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7039373
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554131883069394, 'target_is_minimal': False, 'target_label': '4050.2.c.p.649.1', 'target_level': 4050, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7039374
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354623442, 'target_is_minimal': False, 'target_label': '4050.2.c.d.649.2', 'target_level': 4050, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 7039375
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618508845506, 'target_is_minimal': False, 'target_label': '450.2.j.a.349.2', 'target_level': 450, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 7039376
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 901, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685702, 'target_is_minimal': False, 'target_label': '1350.2.e.g.901.1', 'target_level': 1350, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7039377
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 91, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461646, 'target_is_minimal': False, 'target_label': '270.2.e.a.91.1', 'target_level': 270, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 7039378
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007817763587398, 'target_is_minimal': False, 'target_label': '1350.2.j.c.199.1', 'target_level': 1350, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 7039379
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 481, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923920, 'target_is_minimal': False, 'target_label': '720.2.q.c.481.1', 'target_level': 720, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7039380
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 451, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685702, 'target_is_minimal': False, 'target_label': '1350.2.e.g.451.1', 'target_level': 1350, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7039381
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554131883069394, 'target_is_minimal': False, 'target_label': '4050.2.c.p.649.2', 'target_level': 4050, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7039382
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573314, 'target_is_minimal': False, 'target_label': '450.2.e.d.151.1', 'target_level': 450, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 7039383
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555242, 'target_is_minimal': False, 'target_label': '810.2.a.a.1.1', 'target_level': 810, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 7039384
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354623442, 'target_is_minimal': False, 'target_label': '4050.2.c.d.649.1', 'target_level': 4050, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 7039385
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364155346, 'target_is_minimal': False, 'target_label': '4050.2.a.bi.1.1', 'target_level': 4050, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 7039386
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037226, 'target_is_minimal': False, 'target_label': '810.2.a.e.1.1', 'target_level': 810, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 7039387
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1099, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007817763587398, 'target_is_minimal': False, 'target_label': '1350.2.j.c.1099.2', 'target_level': 1350, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 7039388
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071486418, 'target_is_minimal': False, 'target_label': '4050.2.a.q.1.1', 'target_level': 4050, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 7039389
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845506, 'target_is_minimal': False, 'target_label': '450.2.j.a.349.1', 'target_level': 450, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 7039390
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 181, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461646, 'target_is_minimal': False, 'target_label': '270.2.e.a.181.1', 'target_level': 270, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 7039391
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 61, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831962, 'target_is_minimal': True, 'target_label': '90.2.e.b.61.1', 'target_level': 90, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 7039392
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1441, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427295856, 'target_is_minimal': False, 'target_label': '2160.2.q.d.1441.1', 'target_level': 2160, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 7039393
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934636368, 'target_is_minimal': False, 'target_label': '6480.2.a.l.1.1', 'target_level': 6480, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 7039394
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 241, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923920, 'target_is_minimal': False, 'target_label': '720.2.q.c.241.1', 'target_level': 720, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '180.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 7039395
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 721, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427295856, 'target_is_minimal': False, 'target_label': '2160.2.q.d.721.1', 'target_level': 2160, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '180.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 7039396
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 618508845506, 'source_is_minimal': False, 'source_label': '450.2.j.a.49.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717823312, 'target_is_minimal': False, 'target_label': '6480.2.a.z.1.1', 'target_level': 6480, 'twist_class_label': '90.2.e.b.31.1', 'twist_class_level': 90, 'twisting_char_label': '180.103', 'twisting_conrey_index': 103, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 909025
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 2}
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id: 909026
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 3}
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id: 909027
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 618508845506, 'p': 5}
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id: 909028
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 7}
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id: 909029
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 11}
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id: 909030
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 13}
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id: 909031
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 17}
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id: 909032
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 618508845506, 'p': 19}
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id: 909033
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 23}
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id: 909034
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 29}
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id: 909035
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 31}
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id: 909036
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 37}
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id: 909037
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 41}
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id: 909038
{'charpoly_factorization': [[[14641, 0, -121, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 43}
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id: 909039
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 618508845506, 'p': 47}
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id: 909040
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 53}
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id: 909041
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 59}
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id: 909042
{'charpoly_factorization': [[[100, -10, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 61}
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id: 909043
{'charpoly_factorization': [[[625, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 67}
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id: 909044
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 618508845506, 'p': 71}
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id: 909045
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 73}
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id: 909046
{'charpoly_factorization': [[[196, -14, 1], 2]], 'hecke_orbit_code': 618508845506, 'p': 79}
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id: 909047
{'charpoly_factorization': [[[20736, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 83}
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id: 909048
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 618508845506, 'p': 89}
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id: 909049
{'charpoly_factorization': [[[14641, 0, -121, 0, 1], 1]], 'hecke_orbit_code': 618508845506, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 1, 'label': '450.2.j.a', 'level': 450, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 10206804
{'hecke_orbit_code': 618508845506, 'n': 1, 'trace_an': 4}
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id: 10206805
{'hecke_orbit_code': 618508845506, 'n': 2, 'trace_an': 0}
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id: 10206806
{'hecke_orbit_code': 618508845506, 'n': 3, 'trace_an': 0}
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id: 10206807
{'hecke_orbit_code': 618508845506, 'n': 4, 'trace_an': 2}
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id: 10206808
{'hecke_orbit_code': 618508845506, 'n': 5, 'trace_an': 0}
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id: 10206809
{'hecke_orbit_code': 618508845506, 'n': 6, 'trace_an': -6}
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id: 10206810
{'hecke_orbit_code': 618508845506, 'n': 7, 'trace_an': 0}
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id: 10206811
{'hecke_orbit_code': 618508845506, 'n': 8, 'trace_an': 0}
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id: 10206812
{'hecke_orbit_code': 618508845506, 'n': 9, 'trace_an': -6}
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id: 10206813
{'hecke_orbit_code': 618508845506, 'n': 10, 'trace_an': 0}
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id: 10206814
{'hecke_orbit_code': 618508845506, 'n': 11, 'trace_an': -6}
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id: 10206815
{'hecke_orbit_code': 618508845506, 'n': 12, 'trace_an': 0}
-
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id: 10207025
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id: 10207026
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id: 10207027
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id: 10207028
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id: 10207029
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id: 10207030
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id: 10207031
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id: 10207032
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id: 10207033
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id: 10207034
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id: 10207035
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id: 10207036
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id: 10207037
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id: 10207038
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id: 10207039
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id: 10207040
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id: 10207041
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id: 10207042
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id: 10207043
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id: 10207044
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id: 10207045
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id: 10207046
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id: 10207047
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id: 10207048
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id: 10207049
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id: 10207050
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id: 10207051
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id: 10207052
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id: 10207053
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id: 10207054
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id: 10207055
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id: 10207056
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id: 10207057
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id: 10207058
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id: 10207059
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id: 10207060
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id: 10207061
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