# Stored data for newform 56.3.g.b, downloaded from the LMFDB on 25 April 2024. {"label": "56.3.g.b", "space_label": "56.3.g", "level": 56, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4504011994562616, "dim": 8, "is_polredabs": true, "nf_label": "8.0.292213762624.3", "trace_hash": 2152858179316416383, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [8, -80, -22, 4, 1]]], "qexp_display": "q+\\beta _{5}q^{2}+(-1+\\beta _{3}-\\beta _{4})q^{3}+(1+\\beta _{6}+\\cdots)q^{4}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 8, "char_orbit_label": "g", "char_is_real": true, "Nk2": 504, "analytic_conductor": 1.5258894804176626, "hecke_ring_index": 32, "level_radical": 14, "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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