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{'Nk2': 34656, 'analytic_conductor': 69.18238831123732, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [19, -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': [8664, 1, [2167, 4333, 5777, 8305], [1, 1, 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': [[5, [-1, 1]], [7, [3, 1]], [13, [-2, 1]], [29, [-6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934638552, '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': '8664.2.a.l', 'level': 8664, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '456.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-3q^{7}+q^{9}-5q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/8664/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8664.2.a', 'trace_display': [0, 1, 1, -3], 'trace_hash': 2187434004984505295, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.983', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.970', 'prec': 17}, 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'weight': 2, 'weight_parity': 1}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [19, -1]], 25, 7], [[[2, -1], [3, 1], [19, -1]], 16, 7], [[[2, -1], [3, 1], [19, 1]], 27, 4], [[[2, 1], [3, 1], [19, 1]], 22, 6], [[[2, 1], [3, -1], [19, -1]], 20, 6], [[[2, -1], [3, -1], [19, 1]], 18, 5], [[[2, 1], [3, 1], [19, -1]], 20, 5], [[[2, 1], [3, -1], [19, 1]], 23, 5]], 'ALdims': [22, 20, 23, 20, 27, 16, 18, 25], 'Nk2': 34656, 'analytic_conductor': 69.18238831123732, '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': [8664, 1, [2167, 4333, 5777, 8305], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1441, 'dim': 171, 'eis_dim': 159, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13, 29], 'hecke_orbit_code': 33563096, 'hecke_orbit_dims': [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, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 9, 9, 9, 9, 12, 12], 'label': '8664.2.a', 'level': 8664, 'level_is_prime': False, 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mf_twists_cc • Show schema
Hide schema
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id: 47331783
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638552, 'source_is_minimal': False, 'source_label': '8664.2.a.l.1.1', 'source_level': 8664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934638552, 'target_is_minimal': False, 'target_label': '8664.2.a.l.1.1', 'target_level': 8664, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47331784
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638552, 'source_is_minimal': False, 'source_label': '8664.2.a.l.1.1', 'source_level': 8664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554888, 'target_is_minimal': True, 'target_label': '456.2.a.a.1.1', 'target_level': 456, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 47331785
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638552, 'source_is_minimal': False, 'source_label': '8664.2.a.l.1.1', 'source_level': 8664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667288, 'target_is_minimal': False, 'target_label': '1368.2.a.d.1.1', 'target_level': 1368, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 47331786
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638552, 'source_is_minimal': False, 'source_label': '8664.2.a.l.1.1', 'source_level': 8664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519312, 'target_is_minimal': False, 'target_label': '912.2.a.i.1.1', 'target_level': 912, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 47331787
{'conductor': 152, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638552, 'source_is_minimal': False, 'source_label': '8664.2.a.l.1.1', 'source_level': 8664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717820480, 'target_is_minimal': False, 'target_label': '3648.2.a.z.1.1', 'target_level': 3648, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '152.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 47331788
{'conductor': 152, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638552, 'source_is_minimal': False, 'source_label': '8664.2.a.l.1.1', 'source_level': 8664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797781056, 'target_is_minimal': False, 'target_label': '3648.2.a.g.1.1', 'target_level': 3648, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '152.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 47331789
{'conductor': 228, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934638552, 'source_is_minimal': False, 'source_label': '8664.2.a.l.1.1', 'source_level': 8664, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052521136, 'target_is_minimal': False, 'target_label': '2736.2.a.i.1.1', 'target_level': 2736, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '228.227', 'twisting_conrey_index': 227, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4814125
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 2}
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id: 4814126
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 3}
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id: 4814127
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 5}
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id: 4814128
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 7}
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id: 4814129
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 11}
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id: 4814130
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 13}
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id: 4814131
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 17}
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id: 4814132
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 19}
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id: 4814133
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 23}
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id: 4814134
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 29}
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id: 4814135
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 31}
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id: 4814136
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 37}
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id: 4814137
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 41}
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id: 4814138
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 43}
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id: 4814139
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 47}
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id: 4814140
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 53}
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id: 4814141
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 59}
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id: 4814142
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 61}
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id: 4814143
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 67}
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id: 4814144
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 71}
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id: 4814145
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 73}
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id: 4814146
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 79}
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id: 4814147
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 83}
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id: 4814148
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 89}
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id: 4814149
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934638552, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '8664.2.a.l', 'level': 8664, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 218787000
{'hecke_orbit_code': 49539595934638552, 'n': 1, 'trace_an': 1}
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id: 218787001
{'hecke_orbit_code': 49539595934638552, 'n': 2, 'trace_an': 0}
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