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{'Nk2': 4600, 'analytic_conductor': 9.182796232447243, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [23, 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': [1150, 1, [277, 51], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 21, 'field_disc_factorization': [[3, 1], [7, 1]], 'field_poly': [-5, -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, [-5, -1, 1]], [7, [-5, 1, 1]], [11, [-3, -3, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816742526, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1150.2.a.o', 'level': 1150, '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, 5, 23], 'level_radical': 230, 'minimal_twist': '230.2.a.a', 'nf_label': '2.2.21.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta q^{3}+q^{4}+\\beta q^{6}+(-1+\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1150.2.a', 'trace_display': [2, 1, 0, -1], 'trace_hash': 1534444168906355394, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.227', 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mf_newspaces • Show schema
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{'ALdims': [4, 5, 5, 3, 4, 3, 4, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [12, 22, 21, 13, 14, 21, 21, 11], 'Nk2': 4600, 'analytic_conductor': 9.182796232447243, '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': [1150, 1, [277, 51], [1, 1]], 'conrey_index': 1, 'cusp_dim': 169, 'dim': 34, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33555582, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '1150.2.a', 'level': 1150, '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, 5, 23], 'level_radical': 230, 'mf_dim': 192, 'mf_new_dim': 34, 'num_forms': 19, 'plus_dim': 14, 'prim_orbit_index': 1, 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mf_twists_cc • Show schema
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id: 47769893
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816742526, 'target_is_minimal': False, 'target_label': '1150.2.a.o.1.1', 'target_level': 1150, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47769894
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637865456, 'target_is_minimal': False, 'target_label': '9200.2.a.bs.1.2', 'target_level': 9200, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47769895
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 599, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021666517255294, 'target_is_minimal': False, 'target_label': '1150.2.b.g.599.4', 'target_level': 1150, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47769896
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 599, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021666517255294, 'target_is_minimal': False, 'target_label': '1150.2.b.g.599.1', 'target_level': 1150, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47769897
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33554662, 'target_is_minimal': True, 'target_label': '230.2.a.a.1.2', 'target_level': 230, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47769898
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463077910, 'target_is_minimal': False, 'target_label': '2070.2.a.x.1.2', 'target_level': 2070, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47769899
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372720, 'target_is_minimal': False, 'target_label': '1840.2.a.n.1.1', 'target_level': 1840, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47769900
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618899648, 'target_is_minimal': False, 'target_label': '7360.2.a.bk.1.2', 'target_level': 7360, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47769901
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383122624, 'target_is_minimal': False, 'target_label': '7360.2.a.bq.1.1', 'target_level': 7360, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47769902
{'conductor': 115, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742526, 'source_is_minimal': False, 'source_label': '1150.2.a.o.1.1', 'source_level': 1150, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543041706, 'target_is_minimal': False, 'target_label': '5290.2.a.e.1.2', 'target_level': 5290, 'twist_class_label': '230.2.a.a.1.2', 'twist_class_level': 230, 'twisting_char_label': '115.114', 'twisting_conrey_index': 114, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1716050
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 63050394816742526, 'p': 2}
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id: 1716051
{'charpoly_factorization': [[[-5, -1, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 3}
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id: 1716052
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050394816742526, 'p': 5}
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id: 1716053
{'charpoly_factorization': [[[-5, 1, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 7}
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id: 1716054
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 11}
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id: 1716055
{'charpoly_factorization': [[[7, 7, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 13}
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id: 1716056
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 17}
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id: 1716057
{'charpoly_factorization': [[[7, -7, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 19}
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id: 1716058
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 63050394816742526, 'p': 23}
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id: 1716059
{'charpoly_factorization': [[[-12, -6, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 29}
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id: 1716060
{'charpoly_factorization': [[[-35, -7, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 31}
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id: 1716061
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 63050394816742526, 'p': 37}
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id: 1716062
{'charpoly_factorization': [[[15, 9, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 41}
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id: 1716063
{'charpoly_factorization': [[[-80, 4, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 43}
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id: 1716064
{'charpoly_factorization': [[[60, -18, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 47}
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id: 1716065
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 63050394816742526, 'p': 53}
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id: 1716066
{'charpoly_factorization': [[[60, 18, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 59}
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id: 1716067
{'charpoly_factorization': [[[-35, -7, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 61}
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id: 1716068
{'charpoly_factorization': [[[-80, 4, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 67}
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id: 1716069
{'charpoly_factorization': [[[-45, -3, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 71}
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id: 1716070
{'charpoly_factorization': [[[-188, -2, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 73}
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id: 1716071
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 63050394816742526, 'p': 79}
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id: 1716072
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 63050394816742526, 'p': 83}
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id: 1716073
{'charpoly_factorization': [[[-48, -12, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 89}
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id: 1716074
{'charpoly_factorization': [[[-119, 7, 1], 1]], 'hecke_orbit_code': 63050394816742526, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '1150.2.a.o', 'level': 1150, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 59368099
{'hecke_orbit_code': 63050394816742526, 'n': 1, 'trace_an': 2}
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id: 59368100
{'hecke_orbit_code': 63050394816742526, 'n': 2, 'trace_an': 2}
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id: 59368101
{'hecke_orbit_code': 63050394816742526, 'n': 3, 'trace_an': 1}
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id: 59368102
{'hecke_orbit_code': 63050394816742526, 'n': 4, 'trace_an': 2}
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id: 59368103
{'hecke_orbit_code': 63050394816742526, 'n': 5, 'trace_an': 0}
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id: 59368104
{'hecke_orbit_code': 63050394816742526, 'n': 6, 'trace_an': 1}
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id: 59368105
{'hecke_orbit_code': 63050394816742526, 'n': 7, 'trace_an': -1}
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