# Stored data for newform 361.3.d.a, downloaded from the LMFDB on 19 April 2024. {"label": "361.3.d.a", "space_label": "361.3.d", "level": 361, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 206208762217, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 980645877477096926, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]]], "qexp_display": "q-4\\zeta_{6}q^{4}+(9-9\\zeta_{6})q^{5}-5q^{7}-9\\zeta_{6}q^{9}+\\cdots", "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "d", "char_is_real": false, "Nk2": 3249, "analytic_conductor": 9.836537543406719, "hecke_ring_index": 1, "level_radical": 19, "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": 1, "is_self_dual": false, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.515", "prec": 17}, 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