# Stored data for newform 363.3.b.i, downloaded from the LMFDB on 25 April 2024. {"label": "363.3.b.i", "space_label": "363.3.b", "level": 363, "weight": 3, "hecke_orbit": 9, "hecke_orbit_code": 36028865788772715, "dim": 4, "is_polredabs": true, "nf_label": "4.0.3136.2", "trace_hash": 512585685591585430, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [7, 0, 1]], [5, [8, 0, 1]], [7, [-56, 0, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+(-1+\\beta _{3})q^{3}-3q^{4}+\\beta _{3}q^{5}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "b", "char_is_real": true, "Nk2": 3267, "analytic_conductor": 9.891033596278778, "hecke_ring_index": 16, "level_radical": 33, "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": 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