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mf_newforms • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1950, 2, [1301, 1327, 301], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 1249, 'conrey_indexes': [1249], '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': [[7, [16, 0, 1]], [11, [-4, 1]], [17, [16, 0, 1]], [31, [-4, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547070067279774, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 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mf_hecke_cc • Show schema
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'dual_conrey_index': 1249, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': -1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 14, 'hecke_orbit_code': 58547070067279774, 'label': '1950.2.e.n.1249.2', 'level': 1950, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1950, 2, [1301, 1327, 301], [2, 1, 2]], 'conrey_index': 1249, 'cusp_dim': 396, 'dim': 36, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 31], 'hecke_orbit_code': 274911463326, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '1950.2.e', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 444, 'mf_new_dim': 36, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 36, 'sturm_bound': 840, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, -36, 0, 4, 0, 0, -36, 0, 16, 0, 0, 0, 0, 36, 0, 0, -8, 0, 8, 0, 0, -4, 0, 0, 0, 0, 16, 0, -24, 0, 0, -16, 0, 36, 0, 0, 0, 0, -32, 0, 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mf_twists_cc • Show schema
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id: 47727196
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 58547070067279774, 'source_is_minimal': False, 'source_label': '1950.2.e.n.1249.2', 'source_level': 1950, 'target_conrey_index': 1249, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067279774, 'target_is_minimal': False, 'target_label': '1950.2.e.n.1249.2', 'target_level': 1950, 'twist_class_label': '1950.2.a.e.1.1', 'twist_class_level': 1950, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47727197
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 58547070067279774, 'source_is_minimal': False, 'source_label': '1950.2.e.n.1249.2', 'source_level': 1950, 'target_conrey_index': 5149, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166208218, 'target_is_minimal': False, 'target_label': '5850.2.e.c.5149.1', 'target_level': 5850, 'twist_class_label': '1950.2.a.e.1.1', 'twist_class_level': 1950, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47727198
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 58547070067279774, 'source_is_minimal': False, 'source_label': '1950.2.e.n.1249.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038366, 'target_is_minimal': True, 'target_label': '1950.2.a.e.1.1', 'target_level': 1950, 'twist_class_label': '1950.2.a.e.1.1', 'twist_class_level': 1950, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47727199
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 58547070067279774, 'source_is_minimal': False, 'source_label': '1950.2.e.n.1249.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463077790, 'target_is_minimal': True, 'target_label': '1950.2.a.x.1.1', 'target_level': 1950, 'twist_class_label': '1950.2.a.e.1.1', 'twist_class_level': 1950, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47727200
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 58547070067279774, 'source_is_minimal': False, 'source_label': '1950.2.e.n.1249.2', 'source_level': 1950, 'target_conrey_index': 1249, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070067279774, 'target_is_minimal': False, 'target_label': '1950.2.e.n.1249.1', 'target_level': 1950, 'twist_class_label': '1950.2.a.e.1.1', 'twist_class_level': 1950, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47727201
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 58547070067279774, 'source_is_minimal': False, 'source_label': '1950.2.e.n.1249.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402085082, 'target_is_minimal': False, 'target_label': '5850.2.a.by.1.1', 'target_level': 5850, 'twist_class_label': '1950.2.a.e.1.1', 'twist_class_level': 1950, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47727202
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 58547070067279774, 'source_is_minimal': False, 'source_label': '1950.2.e.n.1249.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33560282, 'target_is_minimal': False, 'target_label': '5850.2.a.a.1.1', 'target_level': 5850, 'twist_class_label': '1950.2.a.e.1.1', 'twist_class_level': 1950, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47727203
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 58547070067279774, 'source_is_minimal': False, 'source_label': '1950.2.e.n.1249.2', 'source_level': 1950, 'target_conrey_index': 5149, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166208218, 'target_is_minimal': False, 'target_label': '5850.2.e.c.5149.2', 'target_level': 5850, 'twist_class_label': '1950.2.a.e.1.1', 'twist_class_level': 1950, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2323600
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 2}
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id: 2323601
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 3}
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id: 2323602
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 5}
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id: 2323603
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 7}
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id: 2323604
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 11}
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id: 2323605
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 13}
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id: 2323606
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 17}
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id: 2323607
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 19}
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id: 2323608
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 23}
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id: 2323609
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 29}
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id: 2323610
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 31}
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id: 2323611
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 37}
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id: 2323612
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 41}
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id: 2323613
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 43}
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id: 2323614
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 47}
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id: 2323615
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 53}
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id: 2323616
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 59}
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id: 2323617
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 61}
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id: 2323618
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 67}
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id: 2323619
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 71}
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id: 2323620
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 73}
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id: 2323621
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 79}
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id: 2323622
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 83}
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id: 2323623
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 58547070067279774, 'p': 89}
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id: 2323624
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 58547070067279774, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 14, 'label': '1950.2.e.n', 'level': 1950, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 229700000
{'hecke_orbit_code': 58547070067279774, 'n': 1, 'trace_an': 2}
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id: 229700001
{'hecke_orbit_code': 58547070067279774, 'n': 2, 'trace_an': 0}
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id: 229700002
{'hecke_orbit_code': 58547070067279774, 'n': 3, 'trace_an': 0}
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id: 229700003
{'hecke_orbit_code': 58547070067279774, 'n': 4, 'trace_an': -2}
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id: 229700004
{'hecke_orbit_code': 58547070067279774, 'n': 5, 'trace_an': 0}
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