# Stored data for newform 441.2.f.g, downloaded from the LMFDB on 25 April 2024. {"label": "441.2.f.g", "space_label": "441.2.f", "level": 441, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021941395161529, "dim": 12, "is_polredabs": true, "trace_hash": 1717767143716012003, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 4, 17, -2, 5, 1, 1]], [5, [6561, 0, 8748, 0, 9963, 0, 2106, 0, 333, 0, 21, 0, 1]]], "qexp_display": "q+(-\\beta _{1}+\\beta _{6})q^{2}+\\beta _{10}q^{3}+(-1-\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "f", "char_is_real": false, "Nk2": 1764, "analytic_conductor": 3.521402729138465, "hecke_ring_index": 27, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": 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