# Stored data for newform 216.3.h.f, downloaded from the LMFDB on 19 April 2024. {"label": "216.3.h.f", "space_label": "216.3.h", "level": 216, "weight": 3, "hecke_orbit": 6, "hecke_orbit_code": 22518479223521496, "dim": 8, "is_polredabs": true, "nf_label": "8.0.242095489024.11", "trace_hash": 67935986003027674, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [200, 0, -36, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{2}q^{4}+(\\beta _{1}-\\beta _{5})q^{5}+(6+\\cdots)q^{7}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 24, "char_orbit_label": "h", "char_is_real": true, "Nk2": 1944, "analytic_conductor": 5.885573710182413, "hecke_ring_index": 36, "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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