# Stored data for newform 8281.2.a.bz, downloaded from the LMFDB on 09 May 2024.
{"label": "8281.2.a.bz", "space_label": "8281.2.a", "level": 8281, "weight": 2, "hecke_orbit": 52, "hecke_orbit_code": 229683581029458009, "dim": 6, "is_polredabs": true, "nf_label": "6.6.6995813.1", "trace_hash": 1796897443675632528, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [3, 14, 8, -11, -6, 2, 1]], [3, [-1, 1, 6, -4, -7, 1, 1]], [5, [3, 17, 6, -18, -11, 1, 1]], [11, [81, 207, 81, -76, -21, 4, 1]], [17, [-9, 8, 20, -14, -12, 5, 1]]], "qexp_display": "q+(-\\beta _{1}+\\beta _{4})q^{2}+\\beta _{4}q^{3}+(1+\\beta _{5})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": "0.011", "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": 6995813, "field_disc_factorization": [[11, 1], [635983, 1]], "field_poly": [-1, -1, 7, 4, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.609", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "84.904", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1923.625", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, 1], [13, 1]], 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