# Stored data for newform 32.2.g.b, downloaded from the LMFDB on 19 April 2024. {"label": "32.2.g.b", "space_label": "32.2.g", "level": 32, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504011977785376, "dim": 8, "is_polredabs": true, "nf_label": "8.0.18939904.2", "trace_hash": 1033351263522282704, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [4, -16, 96, -24, -32, 0, 8, 4, 1]]], "qexp_display": "q-\\beta _{2}q^{2}+(\\beta _{1}+\\beta _{3}+\\beta _{5}+\\beta _{7})q^{3}+\\cdots", "char_order": 8, "char_parity": 1, "char_degree": 4, "char_conductor": 32, "char_orbit_label": "g", "char_is_real": false, "Nk2": 128, "analytic_conductor": 0.25552128646809724, "hecke_ring_index": 2, "level_radical": 2, "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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