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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 0, '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': 3, 'field_disc': 1524, 'field_disc_factorization': [[2, 2], [3, 1], [127, 1]], 'field_poly': [1, -7, -1, 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, [1, -7, -1, 1]], [7, [6, -2, -4, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599930170, 'hecke_ring_generator_nbound': 3, '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': True, 'label': '1850.2.a.bc', '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': '1850.2.a.y', 'nf_label': '3.3.1524.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta _{1}q^{3}+q^{4}+\\beta _{1}q^{6}+(1+\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1850.2.a', 'trace_display': [3, 1, 0, 4], 'trace_hash': 1079963368610255093, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.827', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.104', 'prec': 17}, {'__RealLiteral__': 0, 'data': '19.203', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.846', 'prec': 17}, {'__RealLiteral__': 0, 'data': '192.153', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [3, 3, 1, 3, 0, 1, 4, 3, 6, 0, -5, 1, 8, 4, 0, 3, -7, 6, -1, 0, 16, -5, 4, 1, 0, 8, 13, 4, -14, 0, 6, 3, -1, -7, 0, 6, 3, -1, -12, 0, 19, 16, 16, -5, 0, 4, 0, 1, -1, 0, -17, 8, -6, 13, 0, 4, 15, -14, -8, 0, 12, 6, 22, 3, 0, -1, 3, -7, -28, 0, 8, 6, 13, 3, 0, -1, -6, -12, 2, 0, 15, 19, -19, 16, 0, 16, -34, -5, 1, 0, -4, 4, 32, 0, 0, 1, 14, -1, -44, 0, 12, -17, 12, 8, 0, -6, 17, 13, 12, 0, 1, 4, 1, 15, 0, -14, 2, -8, -24, 0, 10, 12, 5, 6, 0, 22, 32, 3, -38, 0, 12, -1, 14, 3, 0, -7, 11, -28, -17, 0, 0, 8, -14, 6, 0, 13, 43, 3, -18, 0, 8, -1, -28, -6, 0, -12, -16, 2, -30, 0, -24, 15, 49, 19, 0, -19, -10, 16, -3, 0, -22, 16, -2, -34, 0, -5, -46, 1, 3, 0, -30, -4, -40, 4, 0, 32, 11, 0, 46, 0, -10, 1, 3, 14, 0, -1, 4, -44, -22, 0, 17, 12, -48, -17, 0, 12, -20, 8, 37, 0, -33, 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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: 48665913
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126100789599930170, 'source_is_minimal': True, 'source_label': '1850.2.a.bc.1.3', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599930170, 'target_is_minimal': True, 'target_label': '1850.2.a.bc.1.3', 'target_level': 1850, 'twist_class_label': '1850.2.a.y.1.1', 'twist_class_level': 1850, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48665914
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126100789599930170, 'source_is_minimal': True, 'source_label': '1850.2.a.bc.1.3', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554063163590458, 'target_is_minimal': False, 'target_label': '1850.2.b.p.149.4', 'target_level': 1850, 'twist_class_label': '1850.2.a.y.1.1', 'twist_class_level': 1850, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48665915
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126100789599930170, 'source_is_minimal': True, 'source_label': '1850.2.a.bc.1.3', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554063163590458, 'target_is_minimal': False, 'target_label': '1850.2.b.p.149.3', 'target_level': 1850, 'twist_class_label': '1850.2.a.y.1.1', 'twist_class_level': 1850, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48665916
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126100789599930170, 'source_is_minimal': True, 'source_label': '1850.2.a.bc.1.3', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090448186, 'target_is_minimal': True, 'target_label': '1850.2.a.y.1.1', 'target_level': 1850, 'twist_class_label': '1850.2.a.y.1.1', 'twist_class_level': 1850, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2252825
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 126100789599930170, 'p': 2}
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id: 2252826
{'charpoly_factorization': [[[1, -7, -1, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 3}
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id: 2252827
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 126100789599930170, 'p': 5}
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id: 2252828
{'charpoly_factorization': [[[6, -2, -4, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 7}
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id: 2252829
{'charpoly_factorization': [[[-51, -9, 5, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 11}
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id: 2252830
{'charpoly_factorization': [[[2, 14, -8, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 13}
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id: 2252831
{'charpoly_factorization': [[[-3, 9, 7, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 17}
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id: 2252832
{'charpoly_factorization': [[[11, -25, 1, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 19}
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id: 2252833
{'charpoly_factorization': [[[48, -24, -4, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 23}
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id: 2252834
{'charpoly_factorization': [[[-24, 36, 14, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 29}
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id: 2252835
{'charpoly_factorization': [[[214, -36, -6, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 31}
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id: 2252836
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 126100789599930170, 'p': 37}
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id: 2252837
{'charpoly_factorization': [[[399, 51, -19, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 41}
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id: 2252838
{'charpoly_factorization': [[[564, 4, -16, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 43}
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id: 2252839
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 126100789599930170, 'p': 47}
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id: 2252840
{'charpoly_factorization': [[[-216, -84, 6, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 53}
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id: 2252841
{'charpoly_factorization': [[[84, -60, 8, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 59}
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id: 2252842
{'charpoly_factorization': [[[238, -18, -12, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 61}
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id: 2252843
{'charpoly_factorization': [[[-17, -75, -3, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 67}
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id: 2252844
{'charpoly_factorization': [[[378, -54, -8, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 71}
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id: 2252845
{'charpoly_factorization': [[[9, 31, -13, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 73}
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id: 2252846
{'charpoly_factorization': [[[-88, -100, -2, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 79}
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id: 2252847
{'charpoly_factorization': [[[63, 75, 19, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 83}
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id: 2252848
{'charpoly_factorization': [[[147, -189, -1, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 89}
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id: 2252849
{'charpoly_factorization': [[[8, -4, -14, 1], 1]], 'hecke_orbit_code': 126100789599930170, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '1850.2.a.bc', '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: 262973000
{'hecke_orbit_code': 126100789599930170, 'n': 1, 'trace_an': 3}
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id: 262973001
{'hecke_orbit_code': 126100789599930170, 'n': 2, 'trace_an': 3}
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id: 262973002
{'hecke_orbit_code': 126100789599930170, 'n': 3, 'trace_an': 1}
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id: 262973003
{'hecke_orbit_code': 126100789599930170, 'n': 4, 'trace_an': 3}
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id: 262973004
{'hecke_orbit_code': 126100789599930170, 'n': 5, 'trace_an': 0}
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id: 262973005
{'hecke_orbit_code': 126100789599930170, 'n': 6, 'trace_an': 1}
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id: 262973006
{'hecke_orbit_code': 126100789599930170, 'n': 7, 'trace_an': 4}
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id: 262973007
{'hecke_orbit_code': 126100789599930170, 'n': 8, 'trace_an': 3}
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