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mf_newforms • Show schema
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{'Nk2': 800, 'analytic_conductor': 2.9500955002870306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [50, 2, [27], [1]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [64, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68786585650, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
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id: 618659
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585650, 'target_is_minimal': False, 'target_label': '50.4.b.a.49.1', 'target_level': 50, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 618660
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936388174274, 'target_is_minimal': False, 'target_label': '450.4.c.d.199.2', 'target_level': 450, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 618661
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336760803728, 'target_is_minimal': False, 'target_label': '400.4.c.c.49.2', 'target_level': 400, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 618662
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108874, 'target_is_minimal': True, 'target_label': '10.4.a.a.1.1', 'target_level': 10, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 618663
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849906, 'target_is_minimal': False, 'target_label': '50.4.a.c.1.1', 'target_level': 50, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 618664
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585650, 'target_is_minimal': False, 'target_label': '50.4.b.a.49.2', 'target_level': 50, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 618665
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108954, 'target_is_minimal': False, 'target_label': '90.4.a.a.1.1', 'target_level': 90, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 618666
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594105037250, 'target_is_minimal': False, 'target_label': '450.4.a.q.1.1', 'target_level': 450, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 618667
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936388174274, 'target_is_minimal': False, 'target_label': '450.4.c.d.199.1', 'target_level': 450, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 618668
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479760, 'target_is_minimal': False, 'target_label': '400.4.a.b.1.1', 'target_level': 400, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 618669
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203961424, 'target_is_minimal': False, 'target_label': '80.4.a.f.1.1', 'target_level': 80, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 618670
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336760803728, 'target_is_minimal': False, 'target_label': '400.4.c.c.49.1', 'target_level': 400, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 618671
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071963980266, 'target_is_minimal': False, 'target_label': '490.4.e.i.361.1', 'target_level': 490, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '35.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 618672
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274945016298, 'target_is_minimal': False, 'target_label': '490.4.e.a.361.1', 'target_level': 490, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '35.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 618673
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694481810, 'target_is_minimal': False, 'target_label': '2450.4.a.b.1.1', 'target_level': 2450, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 618674
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 471, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274945016298, 'target_is_minimal': False, 'target_label': '490.4.e.a.471.1', 'target_level': 490, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '35.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 618675
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394850296298, 'target_is_minimal': False, 'target_label': '490.4.a.o.1.1', 'target_level': 490, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 618676
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 471, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071963980266, 'target_is_minimal': False, 'target_label': '490.4.e.i.471.1', 'target_level': 490, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '35.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 618677
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381808264768, 'target_is_minimal': False, 'target_label': '1600.4.a.bx.1.1', 'target_level': 1600, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 618678
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949221952, 'target_is_minimal': False, 'target_label': '1600.4.a.d.1.1', 'target_level': 1600, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 618679
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479680, 'target_is_minimal': False, 'target_label': '320.4.a.b.1.1', 'target_level': 320, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 618680
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195595555136, 'target_is_minimal': False, 'target_label': '320.4.a.m.1.1', 'target_level': 320, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 618681
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079466747167530, 'target_is_minimal': False, 'target_label': '810.4.e.w.271.1', 'target_level': 810, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 618682
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474199757610, 'target_is_minimal': False, 'target_label': '810.4.e.c.271.1', 'target_level': 810, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 618683
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474199757610, 'target_is_minimal': False, 'target_label': '810.4.e.c.541.1', 'target_level': 810, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 618684
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079466747167530, 'target_is_minimal': False, 'target_label': '810.4.e.w.541.1', 'target_level': 810, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 618685
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694480570, 'target_is_minimal': False, 'target_label': '1210.4.a.b.1.1', 'target_level': 1210, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '55.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 618686
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713444048, 'target_is_minimal': False, 'target_label': '720.4.a.j.1.1', 'target_level': 720, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 618687
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110554, 'target_is_minimal': False, 'target_label': '1690.4.a.a.1.1', 'target_level': 1690, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '65.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 618688
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803989763328, 'target_is_minimal': False, 'target_label': '1280.4.d.g.641.1', 'target_level': 1280, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '80.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 618689
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532602871874816, 'target_is_minimal': False, 'target_label': '1280.4.d.j.641.2', 'target_level': 1280, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '80.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 618690
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021803989763328, 'target_is_minimal': False, 'target_label': '1280.4.d.g.641.2', 'target_level': 1280, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '80.67', 'twisting_conrey_index': 67, 'weight': 4}
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id: 618691
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68786585650, 'source_is_minimal': False, 'source_label': '50.4.b.a.49.1', 'source_level': 50, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532602871874816, 'target_is_minimal': False, 'target_label': '1280.4.d.j.641.1', 'target_level': 1280, 'twist_class_label': '10.4.a.a.1.1', 'twist_class_level': 10, 'twisting_char_label': '80.77', 'twisting_conrey_index': 77, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 168575
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 2}
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id: 168576
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 3}
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id: 168577
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 5}
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id: 168578
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 7}
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id: 168579
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 11}
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id: 168580
{'charpoly_factorization': [[[3364, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 13}
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id: 168581
{'charpoly_factorization': [[[4356, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 17}
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id: 168582
{'charpoly_factorization': [[[-100, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 19}
-
id: 168583
{'charpoly_factorization': [[[17424, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 23}
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id: 168584
{'charpoly_factorization': [[[-90, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 29}
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id: 168585
{'charpoly_factorization': [[[-152, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 31}
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id: 168586
{'charpoly_factorization': [[[1156, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 37}
-
id: 168587
{'charpoly_factorization': [[[438, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 41}
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id: 168588
{'charpoly_factorization': [[[1024, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 43}
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id: 168589
{'charpoly_factorization': [[[41616, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 47}
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id: 168590
{'charpoly_factorization': [[[49284, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 53}
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id: 168591
{'charpoly_factorization': [[[420, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 59}
-
id: 168592
{'charpoly_factorization': [[[-902, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 61}
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id: 168593
{'charpoly_factorization': [[[1048576, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 67}
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id: 168594
{'charpoly_factorization': [[[-432, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 71}
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id: 168595
{'charpoly_factorization': [[[131044, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 73}
-
id: 168596
{'charpoly_factorization': [[[-160, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 79}
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id: 168597
{'charpoly_factorization': [[[5184, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 83}
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id: 168598
{'charpoly_factorization': [[[810, 1], 2]], 'hecke_orbit_code': 68786585650, 'p': 89}
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id: 168599
{'charpoly_factorization': [[[1223236, 0, 1], 1]], 'hecke_orbit_code': 68786585650, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '50.4.b.a', 'level': 50, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 18598000
{'hecke_orbit_code': 68786585650, 'n': 1, 'trace_an': 2}
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id: 18598001
{'hecke_orbit_code': 68786585650, 'n': 2, 'trace_an': 0}
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id: 18598002
{'hecke_orbit_code': 68786585650, 'n': 3, 'trace_an': 0}
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id: 18598003
{'hecke_orbit_code': 68786585650, 'n': 4, 'trace_an': -8}
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id: 18598004
{'hecke_orbit_code': 68786585650, 'n': 5, 'trace_an': 0}
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id: 18598005
{'hecke_orbit_code': 68786585650, 'n': 6, 'trace_an': -32}
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id: 18598006
{'hecke_orbit_code': 68786585650, 'n': 7, 'trace_an': 0}
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id: 18598007
{'hecke_orbit_code': 68786585650, 'n': 8, 'trace_an': 0}
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id: 18598008
{'hecke_orbit_code': 68786585650, 'n': 9, 'trace_an': -74}
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id: 18598009
{'hecke_orbit_code': 68786585650, 'n': 10, 'trace_an': 0}
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id: 18598010
{'hecke_orbit_code': 68786585650, 'n': 11, 'trace_an': 24}
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id: 18598011
{'hecke_orbit_code': 68786585650, 'n': 12, 'trace_an': 0}
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id: 18598012
{'hecke_orbit_code': 68786585650, 'n': 13, 'trace_an': 0}
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id: 18598013
{'hecke_orbit_code': 68786585650, 'n': 14, 'trace_an': 16}
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id: 18598014
{'hecke_orbit_code': 68786585650, 'n': 15, 'trace_an': 0}
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id: 18598015
{'hecke_orbit_code': 68786585650, 'n': 16, 'trace_an': 32}
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id: 18598016
{'hecke_orbit_code': 68786585650, 'n': 17, 'trace_an': 0}
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id: 18598017
{'hecke_orbit_code': 68786585650, 'n': 18, 'trace_an': 0}
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id: 18598018
{'hecke_orbit_code': 68786585650, 'n': 19, 'trace_an': 200}
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id: 18598019
{'hecke_orbit_code': 68786585650, 'n': 20, 'trace_an': 0}
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