# Stored data for newform 315.3.h.b, downloaded from the LMFDB on 19 April 2024. {"label": "315.3.h.b", "space_label": "315.3.h", "level": 315, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4504080714039611, "dim": 2, "is_polredabs": true, "nf_label": "2.0.20.1", "trace_hash": 1107344453707507935, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]]], "qexp_display": "q+q^{2}-3q^{4}+\\beta q^{5}+7q^{7}-7q^{8}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 7, "char_orbit_label": "h", "char_is_real": true, "Nk2": 2835, "analytic_conductor": 8.583128327349351, "hecke_ring_index": 1, "level_radical": 105, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.505", "prec": 17}, 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