# Stored data for newform 8281.2.a.by, downloaded from the LMFDB on 29 March 2024. {"label": "8281.2.a.by", "space_label": "8281.2.a", "level": 8281, "weight": 2, "hecke_orbit": 51, "hecke_orbit_code": 225179981402087513, "dim": 6, "is_polredabs": true, "nf_label": "6.6.7674048.1", "trace_hash": 2162103643462136118, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 8, -4, -12, 0, 4, 1]], [3, [4, -20, 25, 2, -11, 0, 1]], [5, [-59, -128, -2, 50, -2, -6, 1]], [11, [16, -72, 85, -16, -17, 4, 1]], [17, [-491, -224, 167, 60, -21, -4, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+\\beta _{4}q^{3}+(1-\\beta _{1}+\\beta _{2}+\\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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [8281, 1, [1522, 3382], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [7, 13], "conrey_indexes": [1], "field_disc": 7674048, "field_disc_factorization": [[2, 6], [3, 3], [4441, 1]], "field_poly": [-2, -6, 7, 8, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.435", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "84.908", "prec": 20}, {"__RealLiteral__": 0, "data": "54.379", "prec": 20}, {"__RealLiteral__": 0, "data": "2214.815", "prec": 27}], "related_objects": [], "self_twist_discs": 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