# Stored data for newform 378.2.h.b, downloaded from the LMFDB on 25 April 2024. {"label": "378.2.h.b", "space_label": "378.2.h", "level": 378, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504080697262458, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 121575214621328004, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-3, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}-\\zeta_{6}q^{4}+3q^{5}+(1-3\\zeta_{6})q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "h", "char_is_real": false, "Nk2": 1512, "analytic_conductor": 3.0183451964043986, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": "0.007", "prec": 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