# Stored data for newform 400.6.c.k, downloaded from the LMFDB on 25 April 2024. {"label": "400.6.c.k", "space_label": "400.6.c", "level": 400, "weight": 6, "hecke_orbit": 11, "hecke_orbit_code": 45036133813322128, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 1452366168626281259, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [4, 0, 1]]], "qexp_display": "q+iq^{3}-31iq^{7}+239q^{9}+12^{2}q^{11}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "c", "char_is_real": true, "Nk2": 14400, "analytic_conductor": 64.15352792519225, "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", "prec": 17}, 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