# Stored data for newform 147.5.b.b, downloaded from the LMFDB on 29 April 2024. {"label": "147.5.b.b", "space_label": "147.5.b", "level": 147, "weight": 5, "hecke_orbit": 2, "hecke_orbit_code": 4503668430733459, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2126091030731430701, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [13, [-191, 1]]], "qexp_display": "q+9q^{3}+2^{4}q^{4}+3^{4}q^{9}+12^{2}q^{12}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "b", "char_is_real": true, "Nk2": 3675, "analytic_conductor": 15.195384573325116, "hecke_ring_index": 1, "level_radical": 21, "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": 1, "is_self_dual": true, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.509", "prec": 17}, 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