# Stored data for newform 5929.2.a.bj, downloaded from the LMFDB on 28 March 2024. {"label": "5929.2.a.bj", "space_label": "5929.2.a", "level": 5929, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991527721, "dim": 6, "is_polredabs": true, "nf_label": "6.6.7674048.1", "trace_hash": 1700975542434438548, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 8, -4, -12, 0, 4, 1]], [3, [4, -36, 25, 20, -11, -2, 1]], [5, [1, -8, -1, 36, -9, -4, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}-\\beta _{5}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": 23716, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 47.34330335841714, "hecke_ring_index": 1, "level_radical": 77, "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": [5929, 1, [1816, 2059], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [7, 11], "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": "0.159", "prec": 17}, {"__RealLiteral__": 0, "data": "5.616", "prec": 17}, {"__RealLiteral__": 0, "data": "1.661", "prec": 17}, {"__RealLiteral__": 0, "data": "82.809", "prec": 20}, {"__RealLiteral__": 0, "data": "23.494", "prec": 20}, {"__RealLiteral__": 0, "data": "1788.547", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", 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