# Stored data for newform 8281.2.a.bw, downloaded from the LMFDB on 19 April 2024.
{"label": "8281.2.a.bw", "space_label": "8281.2.a", "level": 8281, "weight": 2, "hecke_orbit": 49, "hecke_orbit_code": 216172782147346521, "dim": 5, "is_polredabs": true, "nf_label": "5.5.746052.1", "trace_hash": 1352890414235479326, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [3, -12, -17, -1, 4, 1]], [3, [4, 16, 0, -9, 0, 1]], [5, [48, 48, -20, -15, 2, 1]], [11, [-33, -45, 22, 36, 11, 1]], [17, [429, 93, -106, -22, 5, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}-\\beta _{4}q^{3}+(2-\\beta _{1}+\\beta _{3}+\\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": "0.007", "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": 746052, "field_disc_factorization": [[2, 2], [3, 1], [62171, 1]], "field_poly": [2, 8, 0, -7, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.710", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "57.806", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1100.015", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, 1], [13, 1]], 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