# Stored data for newform 196.4.a.f, downloaded from the LMFDB on 25 April 2024. {"label": "196.4.a.f", "space_label": "196.4.a", "level": 196, "weight": 4, "hecke_orbit": 6, "hecke_orbit_code": 22517998203961540, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1946665618491737002, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-2, 0, 1]], [5, [-8, 0, 1]]], "qexp_display": "q+\\beta q^{3}-2\\beta q^{5}-5^{2}q^{9}-26q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3136, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 11.56437436112516, "hecke_ring_index": 1, "level_radical": 14, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, 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