# Stored data for newform 21.3.f.a, downloaded from the LMFDB on 20 April 2024. {"label": "21.3.f.a", "space_label": "21.3.f", "level": 21, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 343647715349, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 2150832547066917796, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [9, 3, 1]]], "qexp_display": "q-3\\zeta_{6}q^{2}+(-1-\\zeta_{6})q^{3}+(-5+5\\zeta_{6})q^{4}+\\cdots", "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "f", "char_is_real": false, "Nk2": 189, "analytic_conductor": 0.5722085551566235, "hecke_ring_index": 1, "level_radical": 21, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": {"__RealLiteral__": 0, "data": "0.171", "prec": 17}, 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