# Stored data for newform 400.4.c.i, downloaded from the LMFDB on 28 March 2024. {"label": "400.4.c.i", "space_label": "400.4.c", "level": 400, "weight": 4, "hecke_orbit": 9, "hecke_orbit_code": 36028934525026704, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 421787699895319259, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [16, 0, 1]], [7, [576, 0, 1]], [11, [-44, 1]]], "qexp_display": "q+2iq^{3}+12iq^{7}+11q^{9}+44q^{11}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "c", "char_is_real": true, "Nk2": 6400, "analytic_conductor": 23.600764002296245, "hecke_ring_index": 2, "level_radical": 10, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "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": "0.508", 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