# Stored data for newform 784.2.x.h, downloaded from the LMFDB on 20 April 2024. {"label": "784.2.x.h", "space_label": "784.2.x", "level": 784, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31526777973113616, "dim": 4, "is_polredabs": true, "nf_label": "4.0.144.1", "trace_hash": 934773493926227009, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [1, 4, 5, 2, 1]], [5, [9, -18, 9, 0, 1]]], "qexp_display": "q+(1+\\zeta_{12}^{3})q^{2}+(-1+\\zeta_{12}^{2}-\\zeta_{12}^{3})q^{3}+\\cdots", "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 112, "char_orbit_label": "x", "char_is_real": false, "Nk2": 3136, "analytic_conductor": 6.260271518468382, "hecke_ring_index": 1, "level_radical": 14, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 12, "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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