# Stored data for newform 128.4.b.d, downloaded from the LMFDB on 18 April 2024. {"label": "128.4.b.d", "space_label": "128.4.b", "level": 128, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13510867668697216, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 1699295898531744502, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [64, 0, 1]], [7, [-32, 1]]], "qexp_display": "q+2iq^{3}+3iq^{5}+2^{5}q^{7}-37q^{9}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 8, "char_orbit_label": "b", "char_is_real": true, "Nk2": 2048, "analytic_conductor": 7.552244480734799, "hecke_ring_index": 4, "level_radical": 2, "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": "0.507", "prec": 17}, 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