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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [37, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1850, 1, [1777, 1001], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [0, 1]], [7, [-2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543038266, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1850.2.a.e', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '370.2.b.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+2q^{7}-q^{8}-3q^{9}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1850/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1850.2.a', 'trace_display': [-1, 0, 0, 2], 'trace_hash': 2041400928521742952, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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'weight_parity': 1}
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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [37, -1]], 11, 4], [[[2, -1], [5, -1], [37, 1]], 5, 3], [[[2, 1], [5, 1], [37, -1]], 8, 3], [[[2, -1], [5, 1], [37, -1]], 4, 4], [[[2, -1], [5, 1], [37, 1]], 8, 5], [[[2, 1], [5, -1], [37, 1]], 9, 4], [[[2, 1], [5, -1], [37, -1]], 5, 4], [[[2, 1], [5, 1], [37, 1]], 7, 4]], 'ALdims': [7, 8, 9, 5, 8, 4, 5, 11], 'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1850, 1, [1777, 1001], [1, 1]], 'conrey_index': 1, 'cusp_dim': 273, 'dim': 57, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33556282, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5], 'label': '1850.2.a', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_cc • Show schema
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id: 43896958
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038266, 'source_is_minimal': False, 'source_label': '1850.2.a.e.1.1', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038266, 'target_is_minimal': False, 'target_label': '1850.2.a.e.1.1', 'target_level': 1850, 'twist_class_label': '370.2.b.a.149.1', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43896959
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038266, 'source_is_minimal': False, 'source_label': '1850.2.a.e.1.1', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753031538, 'target_is_minimal': True, 'target_label': '370.2.b.a.149.1', 'target_level': 370, 'twist_class_label': '370.2.b.a.149.1', 'twist_class_level': 370, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43896960
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038266, 'source_is_minimal': False, 'source_label': '1850.2.a.e.1.1', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753031538, 'target_is_minimal': True, 'target_label': '370.2.b.a.149.2', 'target_level': 370, 'twist_class_label': '370.2.b.a.149.1', 'twist_class_level': 370, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43896961
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038266, 'source_is_minimal': False, 'source_label': '1850.2.a.e.1.1', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679890746, 'target_is_minimal': False, 'target_label': '1850.2.a.j.1.1', 'target_level': 1850, 'twist_class_label': '370.2.b.a.149.1', 'twist_class_level': 370, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43896962
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038266, 'source_is_minimal': False, 'source_label': '1850.2.a.e.1.1', 'source_level': 1850, 'target_conrey_index': 1999, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328840450, 'target_is_minimal': False, 'target_label': '3330.2.d.f.1999.2', 'target_level': 3330, 'twist_class_label': '370.2.b.a.149.1', 'twist_class_level': 370, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43896963
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038266, 'source_is_minimal': False, 'source_label': '1850.2.a.e.1.1', 'source_level': 1850, 'target_conrey_index': 1999, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328840450, 'target_is_minimal': False, 'target_label': '3330.2.d.f.1999.1', 'target_level': 3330, 'twist_class_label': '370.2.b.a.149.1', 'twist_class_level': 370, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2252425
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 2}
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id: 2252426
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 3}
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id: 2252427
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 5}
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id: 2252428
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 7}
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id: 2252429
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 11}
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id: 2252430
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 13}
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id: 2252431
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 17}
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id: 2252432
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 19}
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id: 2252433
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 23}
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id: 2252434
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 29}
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id: 2252435
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 31}
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id: 2252436
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 37}
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id: 2252437
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 41}
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id: 2252438
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 43}
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id: 2252439
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 47}
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id: 2252440
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 53}
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id: 2252441
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 59}
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id: 2252442
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 61}
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id: 2252443
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 67}
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id: 2252444
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 71}
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id: 2252445
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 73}
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id: 2252446
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 79}
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id: 2252447
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 83}
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id: 2252448
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 89}
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id: 2252449
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 18014398543038266, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '1850.2.a.e', 'level': 1850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 147963000
{'hecke_orbit_code': 18014398543038266, 'n': 1, 'trace_an': 1}
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id: 147963001
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