# Stored data for newform 189.2.s.a, downloaded from the LMFDB on 25 April 2024. {"label": "189.2.s.a", "space_label": "189.2.s", "level": 189, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1236984135869, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1506519806010659733, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [3, -3, 1]]], "qexp_display": "q+(1+\\zeta_{6})q^{2}+\\zeta_{6}q^{4}+3q^{5}+(-3+\\cdots)q^{7}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "s", "char_is_real": false, "Nk2": 756, "analytic_conductor": 1.5091725982021993, "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": "0.178", "prec": 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