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{'Nk2': 11592, 'analytic_conductor': 23.140646505767055, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 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': [2898, 1, [1289, 829, 1891], [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, [0, 1]], [11, [-2, 1]], [13, [6, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189373778, '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': '2898.2.a.n', 'level': 2898, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '966.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/2898/n'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2898.2.a', 'trace_display': [1, 0, 0, -1], 'trace_hash': 2262932628123120916, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.141', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [7, 1], [23, 1]], 3, 2], [[[2, -1], [3, -1], [7, -1], [23, -1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [23, -1]], 1, 1], [[[2, 1], [3, 1], [7, -1], [23, 1]], 5, 2], [[[2, -1], [3, -1], [7, -1], [23, 1]], 6, 5], [[[2, -1], [3, 1], [7, -1], [23, -1]], 5, 2], [[[2, 1], [3, -1], [7, -1], [23, -1]], 4, 3], [[[2, -1], [3, -1], [7, 1], [23, -1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [23, -1]], 5, 2], [[[2, 1], [3, -1], [7, -1], [23, 1]], 4, 3], [[[2, -1], [3, 1], [7, -1], [23, 1]], 1, 1], [[[2, 1], [3, -1], [7, 1], [23, 1]], 3, 3], [[[2, -1], [3, 1], [7, 1], [23, -1]], 3, 2], [[[2, -1], [3, -1], [7, 1], [23, 1]], 3, 2], [[[2, 1], [3, 1], [7, 1], [23, -1]], 3, 1], [[[2, -1], [3, 1], [7, 1], [23, 1]], 3, 1]], 'ALdims': [3, 3, 5, 1, 3, 5, 4, 4, 3, 3, 1, 5, 3, 5, 6, 2], 'Nk2': 11592, 'analytic_conductor': 23.140646505767055, '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': [2898, 1, [1289, 829, 1891], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 561, 'dim': 56, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33557330, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4], 'label': '2898.2.a', 'level': 2898, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 592, 'mf_new_dim': 56, 'num_forms': 35, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 1152, 'trace_bound': 11, 'trace_display': [0, 0, 4, 0], 'traces': [56, 0, 0, 56, 4, 0, 0, 0, 0, 4, -12, 0, 4, 0, 0, 56, 0, 0, 12, 4, 0, 12, 0, 0, 64, 12, 0, 0, -8, 0, -16, 0, 0, 24, -4, 0, -12, -28, 0, 4, 16, 0, 4, -12, 0, 4, -24, 0, 56, 8, 0, 4, 36, 0, 0, 0, 0, 8, 4, 0, -28, 16, 0, 56, -24, 0, 4, 0, 0, 4, 32, 0, 24, 28, 0, 12, 8, 0, 16, 4, 0, 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mf_twists_cc • Show schema
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id: 47637035
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189373778, 'source_is_minimal': False, 'source_label': '2898.2.a.n.1.1', 'source_level': 2898, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189373778, 'target_is_minimal': False, 'target_label': '2898.2.a.n.1.1', 'target_level': 2898, 'twist_class_label': '966.2.a.e.1.1', 'twist_class_level': 966, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47637036
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189373778, 'source_is_minimal': False, 'source_label': '2898.2.a.n.1.1', 'source_level': 2898, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037382, 'target_is_minimal': True, 'target_label': '966.2.a.e.1.1', 'target_level': 966, 'twist_class_label': '966.2.a.e.1.1', 'twist_class_level': 966, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47637037
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189373778, 'source_is_minimal': False, 'source_label': '2898.2.a.n.1.1', 'source_level': 2898, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797785136, 'target_is_minimal': False, 'target_label': '7728.2.a.g.1.1', 'target_level': 7728, 'twist_class_label': '966.2.a.e.1.1', 'twist_class_level': 966, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47637038
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189373778, 'source_is_minimal': False, 'source_label': '2898.2.a.n.1.1', 'source_level': 2898, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170413674, 'target_is_minimal': False, 'target_label': '6762.2.a.f.1.1', 'target_level': 6762, 'twist_class_label': '966.2.a.e.1.1', 'twist_class_level': 966, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2906100
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 2}
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id: 2906101
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 3}
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id: 2906102
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 5}
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id: 2906103
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 7}
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id: 2906104
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 11}
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id: 2906105
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 13}
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id: 2906106
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 17}
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id: 2906107
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 19}
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id: 2906108
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 23}
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id: 2906109
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 29}
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id: 2906110
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 31}
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id: 2906111
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 37}
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id: 2906112
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 41}
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id: 2906113
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 43}
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id: 2906114
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 47}
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id: 2906115
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 53}
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id: 2906116
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 59}
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id: 2906117
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 61}
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id: 2906118
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 67}
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id: 2906119
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 71}
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id: 2906120
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 73}
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id: 2906121
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 79}
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id: 2906122
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 83}
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id: 2906123
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 89}
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id: 2906124
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 58546795189373778, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '2898.2.a.n', 'level': 2898, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 226356000
{'hecke_orbit_code': 58546795189373778, 'n': 1, 'trace_an': 1}
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id: 226356001
{'hecke_orbit_code': 58546795189373778, 'n': 2, 'trace_an': 1}
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id: 226356002
{'hecke_orbit_code': 58546795189373778, 'n': 3, 'trace_an': 0}
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id: 226356003
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id: 226356999
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