# Stored data for newform 1200.3.bg.m, downloaded from the LMFDB on 16 April 2024. {"label": "1200.3.bg.m", "space_label": "1200.3.bg", "level": 1200, "weight": 3, "hecke_orbit": 13, "hecke_orbit_code": 54045394602034352, "dim": 4, "is_polredabs": true, "nf_label": "4.0.2304.2", "trace_hash": 817103003156821987, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [400, -320, 128, -16, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+(4-4\\beta _{2}+2\\beta _{3})q^{7}+3\\beta _{2}q^{9}+\\cdots", "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 5, "char_orbit_label": "bg", "char_is_real": false, "Nk2": 10800, "analytic_conductor": 32.69763172323563, "hecke_ring_index": 1, "level_radical": 30, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "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": 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