# Stored data for newform 8281.2.a.ci, downloaded from the LMFDB on 25 April 2024. {"label": "8281.2.a.ci", "space_label": "8281.2.a", "level": 8281, "weight": 2, "hecke_orbit": 61, "hecke_orbit_code": 270215977675792473, "dim": 8, "is_polredabs": true, "nf_label": "8.8.8446345216.1", "trace_hash": 2207706922693924756, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-5, -12, -5, 2, 1]], [3, [49, 0, -120, 0, 67, 0, -14, 0, 1]], [5, [1, 0, -12, 0, 31, 0, -14, 0, 1]], [11, [-5, 12, -5, -2, 1]], [17, [3721, 0, -3866, 0, 966, 0, -58, 0, 1]]], "qexp_display": "q+(-1-\\beta _{5})q^{2}+(-\\beta _{1}-\\beta _{4})q^{3}+(1+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33124, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 66.12411791382229, "hecke_ring_index": 1, "level_radical": 91, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.510", "prec": 17}, "analytic_rank_proved": true, "char_values": [8281, 1, [1522, 3382], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [7, 13], "conrey_indexes": [1], "field_disc": 8446345216, "field_disc_factorization": [[2, 16], [359, 2]], "field_poly": [1, 0, -14, 0, 19, 0, -8, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.003", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "276.314", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "17647.202", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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