# Stored data for newform 400.3.p.b, downloaded from the LMFDB on 23 April 2024. {"label": "400.3.p.b", "space_label": "400.3.p", "level": 400, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4504630469853584, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 1455776806100187523, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [8, 4, 1]], [7, [8, -4, 1]]], "qexp_display": "q+(-2+2i)q^{3}+(2+2i)q^{7}+iq^{9}+\\cdots", "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 5, "char_orbit_label": "p", "char_is_real": false, "Nk2": 3600, "analytic_conductor": 10.899210574411876, "hecke_ring_index": 1, "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": "0.248", "prec": 17}, 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