# Stored data for newform 384.3.g.b, downloaded from the LMFDB on 25 April 2024. {"label": "384.3.g.b", "space_label": "384.3.g", "level": 384, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4504011994562944, "dim": 8, "is_polredabs": true, "nf_label": "8.0.5308416.1", "trace_hash": 1989941721643357499, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-128, 128, -16, -8, 1]]], "qexp_display": "q+\\zeta_{24}q^{3}+(2-\\zeta_{24}^{3})q^{5}+(-\\zeta_{24}^{2}+\\cdots)q^{7}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 4, "char_orbit_label": "g", "char_is_real": true, "Nk2": 3456, "analytic_conductor": 10.4632421514354, "hecke_ring_index": 262144, "level_radical": 6, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 24, "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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