# Stored data for newform 189.3.d.d, downloaded from the LMFDB on 25 April 2024. {"label": "189.3.d.d", "space_label": "189.3.d", "level": 189, "weight": 3, "hecke_orbit": 4, "hecke_orbit_code": 13511005090873533, "dim": 8, "is_polredabs": true, "nf_label": "8.0.81622204416.6", "trace_hash": 1862535606383873239, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [31, 0, -14, 0, 1]]], "qexp_display": "q-\\beta _{2}q^{2}+(3+\\beta _{5})q^{4}-\\beta _{3}q^{5}+(-2+\\cdots)q^{7}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 7, "char_orbit_label": "d", "char_is_real": true, "Nk2": 1701, "analytic_conductor": 5.149876996409612, "hecke_ring_index": 1296, "level_radical": 21, "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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