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mf_newforms • Show schema
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{'Nk2': 1591, 'analytic_conductor': 0.7940124350991068, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1591, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [1591, 2, [1334, 519], [1, 1]], 'cm_discs': [-1591], 'conrey_index': 1590, 'dim': 5, 'field_disc': 14641, 'field_disc_factorization': [[11, 4]], 'field_poly': [-1, 3, 3, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 3, 3, -4, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805802579511, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 1591, 4, -1, 2, -1591]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 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mf_hecke_cc • Show schema
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-0.45454545454545453, 0.0, 0.0, -0.2727272727272727], 'char_orbit_index': 4, 'conrey_index': 1590, 'dual_conrey_index': 1590, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.6825070656623624, 'hecke_orbit': 2, 'hecke_orbit_code': 4503805802579511, 'label': '1591.1.d.b.1590.5', 'level': 1591, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 1591, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.7940124350991068, 'char_conductor': 1591, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [1591, 2, [1334, 519], [1, 1]], 'conrey_index': 1590, 'cusp_dim': 10, 'dihedral_dim': 10, 'dim': 10, 'eis_dim': 2, 'eis_new_dim': 2, 'hecke_orbit_code': 206175209015, 'hecke_orbit_dims': [5, 5], 'label': '1591.1.d', 'level': 1591, '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': True, 'level_primes': [37, 43], 'level_radical': 1591, 'mf_dim': 12, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 10, 's4_dim': 0, 'sturm_bound': 139, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [10, 0, 0, 8, 0, 0, 0, 0, 10, -4, -2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, -8, -2, 0, 0, -6, 0, 0, -2, 0, 10, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 10, 0, -2, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, -2, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -6, 0, 0, 0, 0, 10, 0, 0, 0, -2, 0, 0, -10, 0, -4, 0, 0, -2, 0, 0, 0, -2, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 8, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -4, 0, 0, -2, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -6, -2, 0, -2, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, -8, 8, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -12, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -2, 18, 0, 18, 0, 0, 0, 16, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, -2, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 10, 0, -2, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 14, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -2, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 10, 14, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 18, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 10, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 10, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -10, 0, 0, -2, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 14, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -6, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 16, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 18, 0, 0, 0, 0, 0, 6, 0, 0, -2, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -4, 0, -2, 18, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -4, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, -4, 0, 2, 0, 0, 0, 14, 0, 0, 0, 0, -2, 0, 0, 0, -4, -4, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -12, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 10, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 10, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, 18, 0, -16], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 34853436
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1590, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4503805802579511, 'source_is_minimal': True, 'source_label': '1591.1.d.b.1590.5', 'source_level': 1591, 'target_conrey_index': 1590, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503805802579511, 'target_is_minimal': True, 'target_label': '1591.1.d.b.1590.5', 'target_level': 1591, 'twist_class_label': '1591.1.d.a.1590.1', 'twist_class_level': 1591, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 34853437
{'conductor': 37, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1590, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4503805802579511, 'source_is_minimal': True, 'source_label': '1591.1.d.b.1590.5', 'source_level': 1591, 'target_conrey_index': 1590, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206175209015, 'target_is_minimal': True, 'target_label': '1591.1.d.a.1590.1', 'target_level': 1591, 'twist_class_label': '1591.1.d.a.1590.1', 'twist_class_level': 1591, 'twisting_char_label': '37.36', 'twisting_conrey_index': 36, 'weight': 1}
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id: 34853438
{'conductor': 43, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1590, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4503805802579511, 'source_is_minimal': True, 'source_label': '1591.1.d.b.1590.5', 'source_level': 1591, 'target_conrey_index': 1590, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206175209015, 'target_is_minimal': True, 'target_label': '1591.1.d.a.1590.1', 'target_level': 1591, 'twist_class_label': '1591.1.d.a.1590.1', 'twist_class_level': 1591, 'twisting_char_label': '43.42', 'twisting_conrey_index': 42, 'weight': 1}
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id: 34853439
{'conductor': 1591, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1590, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4503805802579511, 'source_is_minimal': True, 'source_label': '1591.1.d.b.1590.5', 'source_level': 1591, 'target_conrey_index': 1590, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503805802579511, 'target_is_minimal': True, 'target_label': '1591.1.d.b.1590.5', 'target_level': 1591, 'twist_class_label': '1591.1.d.a.1590.1', 'twist_class_level': 1591, 'twisting_char_label': '1591.1590', 'twisting_conrey_index': 1590, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 2062050
{'charpoly_factorization': [[[-1, 3, 3, -4, -1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 2}
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id: 2062051
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 3}
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id: 2062052
{'charpoly_factorization': [[[-1, 3, 3, -4, -1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 5}
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id: 2062053
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 7}
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id: 2062054
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 11}
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id: 2062055
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 13}
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id: 2062056
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 17}
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id: 2062057
{'charpoly_factorization': [[[-1, 3, 3, -4, -1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 19}
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id: 2062058
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 23}
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id: 2062059
{'charpoly_factorization': [[[-1, 3, 3, -4, -1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 29}
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id: 2062060
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 31}
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id: 2062061
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 37}
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id: 2062062
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 41}
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id: 2062063
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 43}
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id: 2062064
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 47}
-
id: 2062065
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 53}
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id: 2062066
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 59}
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id: 2062067
{'charpoly_factorization': [[[-1, 3, 3, -4, -1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 61}
-
id: 2062068
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 67}
-
id: 2062069
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 71}
-
id: 2062070
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 73}
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id: 2062071
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 79}
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id: 2062072
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 83}
-
id: 2062073
{'charpoly_factorization': [[[-1, 3, 3, -4, -1, 1], 1]], 'hecke_orbit_code': 4503805802579511, 'p': 89}
-
id: 2062074
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 4503805802579511, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '1591.1.d.b', 'level': 1591, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 83073000
{'hecke_orbit_code': 4503805802579511, 'n': 1, 'trace_an': 5}
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id: 83073001
{'hecke_orbit_code': 4503805802579511, 'n': 2, 'trace_an': 1}
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id: 83073002
{'hecke_orbit_code': 4503805802579511, 'n': 3, 'trace_an': 0}
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id: 83073003
{'hecke_orbit_code': 4503805802579511, 'n': 4, 'trace_an': 4}
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id: 83073004
{'hecke_orbit_code': 4503805802579511, 'n': 5, 'trace_an': 1}
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id: 83073005
{'hecke_orbit_code': 4503805802579511, 'n': 6, 'trace_an': 0}
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id: 83073006
{'hecke_orbit_code': 4503805802579511, 'n': 7, 'trace_an': 0}
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id: 83073007
{'hecke_orbit_code': 4503805802579511, 'n': 8, 'trace_an': 2}
-
id: 83073008
{'hecke_orbit_code': 4503805802579511, 'n': 9, 'trace_an': 5}
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id: 83073009
{'hecke_orbit_code': 4503805802579511, 'n': 10, 'trace_an': -2}
-
id: 83073010
{'hecke_orbit_code': 4503805802579511, 'n': 11, 'trace_an': -1}
-
id: 83073011
{'hecke_orbit_code': 4503805802579511, 'n': 12, 'trace_an': 0}
-
id: 83073012
{'hecke_orbit_code': 4503805802579511, 'n': 13, 'trace_an': 0}
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id: 83073013
{'hecke_orbit_code': 4503805802579511, 'n': 14, 'trace_an': 0}
-
id: 83073014
{'hecke_orbit_code': 4503805802579511, 'n': 15, 'trace_an': 0}
-
id: 83073015
{'hecke_orbit_code': 4503805802579511, 'n': 16, 'trace_an': 3}
-
id: 83073016
{'hecke_orbit_code': 4503805802579511, 'n': 17, 'trace_an': 0}
-
id: 83073017
{'hecke_orbit_code': 4503805802579511, 'n': 18, 'trace_an': 1}
-
id: 83073018
{'hecke_orbit_code': 4503805802579511, 'n': 19, 'trace_an': 1}
-
id: 83073019
{'hecke_orbit_code': 4503805802579511, 'n': 20, 'trace_an': -8}
-
id: 83073020
{'hecke_orbit_code': 4503805802579511, 'n': 21, 'trace_an': 0}
-
id: 83073021
{'hecke_orbit_code': 4503805802579511, 'n': 22, 'trace_an': 2}
-
id: 83073022
{'hecke_orbit_code': 4503805802579511, 'n': 23, 'trace_an': 0}
-
id: 83073023
{'hecke_orbit_code': 4503805802579511, 'n': 24, 'trace_an': 0}
-
id: 83073024
{'hecke_orbit_code': 4503805802579511, 'n': 25, 'trace_an': 4}
-
id: 83073025
{'hecke_orbit_code': 4503805802579511, 'n': 26, 'trace_an': 0}
-
id: 83073026
{'hecke_orbit_code': 4503805802579511, 'n': 27, 'trace_an': 0}
-
id: 83073027
{'hecke_orbit_code': 4503805802579511, 'n': 28, 'trace_an': 0}
-
id: 83073028
{'hecke_orbit_code': 4503805802579511, 'n': 29, 'trace_an': 1}
-
id: 83073029
{'hecke_orbit_code': 4503805802579511, 'n': 30, 'trace_an': 0}
-
id: 83073030
{'hecke_orbit_code': 4503805802579511, 'n': 31, 'trace_an': 0}
-
id: 83073031
{'hecke_orbit_code': 4503805802579511, 'n': 32, 'trace_an': 3}
-
id: 83073032
{'hecke_orbit_code': 4503805802579511, 'n': 33, 'trace_an': 0}
-
id: 83073033
{'hecke_orbit_code': 4503805802579511, 'n': 34, 'trace_an': 0}
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