# Stored data for newform 847.2.f.k, downloaded from the LMFDB on 24 April 2024. {"label": "847.2.f.k", "space_label": "847.2.f", "level": 847, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45036339904643919, "dim": 4, "is_polredabs": true, "nf_label": "4.0.125.1", "trace_hash": 1926394501203351721, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -1, 1, -1, 1]], [3, [16, 8, 4, 2, 1]], [13, [256, -64, 16, -4, 1]]], "qexp_display": "q+(1-\\zeta_{10}+\\zeta_{10}^{2}-\\zeta_{10}^{3})q^{2}+2\\zeta_{10}^{2}q^{3}+\\cdots", "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "f", "char_is_real": false, "Nk2": 3388, "analytic_conductor": 6.763329051202448, "hecke_ring_index": 1, "level_radical": 77, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 10, "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, 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