# Stored data for newform 539.2.e.f, downloaded from the LMFDB on 25 April 2024. {"label": "539.2.e.f", "space_label": "539.2.e", "level": 539, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518273048314395, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 69160149278879288, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [3, [9, -3, 1]]], "qexp_display": "q+(3-3\\zeta_{6})q^{3}+(2-2\\zeta_{6})q^{4}+\\zeta_{6}q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "e", "char_is_real": false, "Nk2": 2156, "analytic_conductor": 4.303936668947013, "hecke_ring_index": 1, "level_radical": 77, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.015", 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[0, 0], [10, 0], [0, 3], [0, 0], [-6, 6], [0, 0], [-5, 0], [0, 0], [-6, 0], [0, -8]]}