# Stored data for newform 450.2.e.f, downloaded from the LMFDB on 29 March 2024. {"label": "450.2.e.f", "space_label": "450.2.e", "level": 450, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518273048314306, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 696840218282651482, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [4, -2, 1]], [11, [0, 1]], [17, [-6, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}+(1-2\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1800, "analytic_conductor": 3.593268090957617, "hecke_ring_index": 1, "level_radical": 30, "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, 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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], [1, -1], [1, -2], [0, -1], [0, 0], [-1, -1], [2, -2], [-1, 0], [-3, 0], [0, 0], [0, 0], [-2, 1], [0, -4], [0, -2], [0, 0], [-1, 1], [6, 0], [-3, 3], [-7, 0], [0, 0], [-2, -2], [0, 0], [0, 0], [-1, 2], [0, 0], [-4, 0], [-3, 6], [-2, 0], [6, -6], [0, 0], [0, 10], [0, 1], [0, 0], [6, -6], [0, 0], [0, 3], [-2, 0], [-7, 7], [-8, 4], [0, 0], [0, -9], [-4, 2], [-1, 1], [0, 0], [0, 0], [0, 0], [6, -6], [1, 1], [0, 3], [0, 0], [6, -12], [-4, 4], [12, 0], [3, 3], [0, 0], [-2, 2], [-7, 14], [0, -6], [0, 9], [0, 0], [4, -4], [10, 0], [-6, 6], [1, 0], [0, 0], [0, 0], [0, -13], [0, -6], [0, 0], [0, 0], [6, 0], [3, 0], [1, 0], [-2, 2], [0, 0], [0, 7], [0, 0], [-4, 8], [-2, 2], [0, 0], [9, 0], [-9, 0], [9, 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