# Stored data for newform 3969.2.a.d, downloaded from the LMFDB on 24 April 2024. {"label": "3969.2.a.d", "space_label": "3969.2.a", "level": 3969, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915669889, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1316928906763116454, "analytic_rank": 1, "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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