# Stored data for newform 847.2.a.i, downloaded from the LMFDB on 26 April 2024. {"label": "847.2.a.i", "space_label": "847.2.a", "level": 847, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052519247, "dim": 3, "is_polredabs": true, "nf_label": "3.3.568.1", "trace_hash": 2106668763566571944, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-8, -5, 2, 1]], [3, [2, -6, 1, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}-\\beta _{1}q^{3}+(3+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3388, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 6.763329051202448, "hecke_ring_index": 1, "level_radical": 77, "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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