# Stored data for newform 378.2.g.e, downloaded from the LMFDB on 25 April 2024. {"label": "378.2.g.e", "space_label": "378.2.g", "level": 378, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014810859897210, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 694158189822062781, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [0, 1]], [11, [36, 6, 1]]], "qexp_display": "q+\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{4}+(-3+2\\zeta_{6})q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "g", "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": 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[17, 0], [8, -3], [0, 0], [0, 5]]}