# Stored data for newform 378.2.g.d, downloaded from the LMFDB on 25 April 2024. {"label": "378.2.g.d", "space_label": "378.2.g", "level": 378, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511211232526714, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1296711901038946803, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [4, 2, 1]], [11, [25, -5, 1]]], "qexp_display": "q+\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{4}-2\\zeta_{6}q^{5}+\\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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"projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 1], [0, 0], [-1, 1], [0, -2], [0, 0], [2, -3], [-1, 0], [0, 0], [2, -2], [5, -5], [0, 0], [6, 0], [3, -1], [0, 0], [0, -1], [-4, 4], [0, 0], [0, 4], [2, 0], [0, 0], [5, 0], [0, -4], [0, 0], [1, -1], [0, 6], [0, 0], [1, 2], [-7, 0], [0, 0], [-3, 3], [1, -1], [0, 0], [-4, 0], [-6, 2], [0, 0], [0, -8], [-4, 4], [0, 0], [0, 2], [6, 0], [0, 0], [8, 0], [0, 5], [0, 0], [4, -4], [0, 6], [0, 0], [-5, -3], [1, 0], [0, 0], [-6, 6], [-6, 6], [0, 0], [-10, 0], [-2, 3], [0, 0], [0, -7], [7, -7], [0, 0], [0, 0], [-3, 0], [0, 0], [1, 0], [0, -12], [0, 0], [-10, 10], [0, -4], [0, 0], [-2, -4], [4, 0], [0, 0], [-13, 13], [8, -8], [0, 0], [-4, 0], [-5, -10], [0, 0], [0, 3], [-2, 2], [0, 0], [0, 6], [7, 0], 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