# Stored data for newform 805.2.a.f, downloaded from the LMFDB on 11 May 2024. {"label": "805.2.a.f", "space_label": "805.2.a", "level": 805, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407717, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 1393574919792237048, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -1, 2, 1]], [3, [7, -7, 0, 1]], [11, [7, 14, 7, 1]]], "qexp_display": "q+(-1-\\beta _{2})q^{2}+(-1+2\\beta _{1}-\\beta _{2})q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3220, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 6.427957362713071, "hecke_ring_index": 1, "level_radical": 805, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, 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