# Stored data for newform 3969.2.a.f, downloaded from the LMFDB on 23 April 2024. {"label": "3969.2.a.f", "space_label": "3969.2.a", "level": 3969, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170410881, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2040295801095650472, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [5, [-1, 1]], [11, [-5, 1]], [13, [-5, 1]]], "qexp_display": "q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}+5q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15876, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 31.692624562246184, "hecke_ring_index": 1, "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": true, "is_self_twist": false, "is_cm": false, 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