# Stored data for newform 384.5.b.d, downloaded from the LMFDB on 27 April 2024. {"label": "384.5.b.d", "space_label": "384.5.b", "level": 384, "weight": 5, "hecke_orbit": 4, "hecke_orbit_code": 13510867685474688, "dim": 16, "is_polredabs": true, "trace_hash": 2265679798065827653, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [6369316864, 0, 341272576, 0, 1653120, 0, 2464, 0, 1]]], "qexp_display": "q-\\beta _{3}q^{3}+\\beta _{11}q^{5}-\\beta _{5}q^{7}+3^{3}q^{9}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 8, "char_orbit_label": "b", "char_is_real": true, "Nk2": 9600, "analytic_conductor": 39.69406582419622, "hecke_ring_index": 1566767862220559410419204096, "level_radical": 6, "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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