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{'Nk2': 33124, 'analytic_conductor': 66.12411791382229, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [13, 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': [8281, 1, [1522, 3382], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 4507648, 'field_disc_factorization': [[2, 11], [31, 1], [71, 1]], 'field_poly': [-1, -6, 7, 8, -5, -2, 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': [[2, [-2, -4, 14, 0, -8, 0, 1]], [3, [2, -8, -12, 12, 20, 8, 1]], [5, [31, -26, -31, 24, 5, -6, 1]], [11, [-562, 692, 186, -156, -38, 4, 1]], [17, [-5294, -6792, -2792, -324, 56, 16, 1]]], 'hecke_orbit': 55, 'hecke_orbit_code': 243194379911569497, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8281.2.a.cc', 'level': 8281, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '637.2.a.m', 'nf_label': '6.6.4507648.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{2}+(-1-\\beta _{1})q^{3}+(1-\\beta _{1}-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8281.2.a', 'trace_display': [0, -8, 6, 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-
mf_newspaces • Show schema
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{'ALdims': [118, 130, 131, 123], 'Nk2': 33124, 'analytic_conductor': 66.12411791382229, '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': [8281, 1, [1522, 3382], [1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 502, 'eis_dim': 111, 'eis_new_dim': 55, 'hecke_cutter_primes': [2, 3, 5, 11, 17], 'hecke_orbit_code': 33562713, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 16, 24, 24, 24, 24, 32, 36, 36], 'label': '8281.2.a', 'level': 8281, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'mf_dim': 904, 'mf_new_dim': 557, 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mf_twists_cc • Show schema
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id: 49070810
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 243194379911569497, 'target_is_minimal': False, 'target_label': '8281.2.a.cc.1.6', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49070811
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 247697979538939993, 'target_is_minimal': False, 'target_label': '8281.2.a.cd.1.6', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49070812
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001021, 'target_is_minimal': True, 'target_label': '637.2.a.m.1.1', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49070813
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 207165582892602981, 'target_is_minimal': False, 'target_label': '5733.2.a.bu.1.6', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 49070814
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.508.6', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '91.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49070815
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.79.6', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '91.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 49070816
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.79.6', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '91.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 49070817
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.508.6', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '91.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 49070818
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189371517, 'target_is_minimal': True, 'target_label': '637.2.a.n.1.1', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 2}
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id: 49070819
{'conductor': 273, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911569497, 'source_is_minimal': False, 'source_label': '8281.2.a.cc.1.6', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 193654784010491493, 'target_is_minimal': False, 'target_label': '5733.2.a.br.1.6', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.1', 'twist_class_level': 637, 'twisting_char_label': '273.272', 'twisting_conrey_index': 272, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4711075
{'charpoly_factorization': [[[-2, -4, 14, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 2}
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id: 4711076
{'charpoly_factorization': [[[2, -8, -12, 12, 20, 8, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 3}
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id: 4711077
{'charpoly_factorization': [[[31, -26, -31, 24, 5, -6, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 5}
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id: 4711078
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 243194379911569497, 'p': 7}
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id: 4711079
{'charpoly_factorization': [[[-562, 692, 186, -156, -38, 4, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 11}
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id: 4711080
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 243194379911569497, 'p': 13}
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id: 4711081
{'charpoly_factorization': [[[-5294, -6792, -2792, -324, 56, 16, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 17}
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id: 4711082
{'charpoly_factorization': [[[-73, -6, 83, 16, -17, -2, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 19}
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id: 4711083
{'charpoly_factorization': [[[529, 874, -169, -272, -37, 6, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 23}
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id: 4711084
{'charpoly_factorization': [[[529, 230, -401, -268, -33, 6, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 29}
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id: 4711085
{'charpoly_factorization': [[[-44249, -10046, 4181, 508, -115, -6, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 31}
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id: 4711086
{'charpoly_factorization': [[[254, 716, 378, -236, -82, 0, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 37}
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id: 4711087
{'charpoly_factorization': [[[28784, 19744, 1720, -968, -120, 8, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 41}
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id: 4711088
{'charpoly_factorization': [[[35153, 29214, 6575, -188, -161, -2, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 43}
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id: 4711089
{'charpoly_factorization': [[[-135617, 107350, -25621, 1480, 215, -30, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 47}
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id: 4711090
{'charpoly_factorization': [[[-1319, 3386, 1199, -680, -37, 14, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 53}
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id: 4711091
{'charpoly_factorization': [[[1532, 760, -1236, 44, 146, -24, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 59}
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id: 4711092
{'charpoly_factorization': [[[-216584, 20768, 16252, -112, -246, 0, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 61}
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id: 4711093
{'charpoly_factorization': [[[6112, 3712, -1984, -800, 0, 16, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 67}
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id: 4711094
{'charpoly_factorization': [[[-1206162, 104028, 33274, -1856, -316, 8, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 71}
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id: 4711095
{'charpoly_factorization': [[[-142657, 22234, 12011, -808, -241, 6, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 73}
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id: 4711096
{'charpoly_factorization': [[[7913, 9486, -11129, -3172, -65, 22, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 79}
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id: 4711097
{'charpoly_factorization': [[[-167041, 13034, 26145, -7992, 941, -50, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 83}
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id: 4711098
{'charpoly_factorization': [[[9959, -26, -9053, 1188, 131, -26, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 89}
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id: 4711099
{'charpoly_factorization': [[[217287, 193902, 13171, -3620, -261, 14, 1], 1]], 'hecke_orbit_code': 243194379911569497, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 55, 'label': '8281.2.a.cc', 'level': 8281, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71851171
{'hecke_orbit_code': 243194379911569497, 'n': 1, 'trace_an': 6}
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id: 71851172
{'hecke_orbit_code': 243194379911569497, 'n': 2, 'trace_an': 0}
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