# Stored data for newform 450.3.g.e, downloaded from the LMFDB on 04 October 2023. {"label": "450.3.g.e", "space_label": "450.3.g", "level": 450, "weight": 3, "hecke_orbit": 5, "hecke_orbit_code": 18014810876674498, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 163429746125485871, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [18, 6, 1]], [11, [12, 1]], [17, [288, 24, 1]]], "qexp_display": "q+(1+i)q^{2}+2iq^{4}+(-3-3i)q^{7}+\\cdots", "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 5, "char_orbit_label": "g", "char_is_real": false, "Nk2": 4050, "analytic_conductor": 12.26161189621336, "hecke_ring_index": 1, "level_radical": 30, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "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": "0.248", 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1], [1, 1, 5, 3, -1, 4, 0]], "char_orbit_index": 7, "prim_orbit_index": 3, "minimal_twist": "50.3.c.a", "char_is_minimal": true, "conrey_index": 307, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "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], [0, 0], [0, 2], [0, 0], [0, 0], [-3, -3], [-2, 2], [0, 0], [0, 0], [-12, 0], [0, 0], [-12, 12], [0, -6], [0, 0], [-4, 0], [-12, -12], [0, 0], [0, 20], [0, 0], [0, 0], [-12, -12], [-3, 3], [0, 0], [0, 0], [-24, 0], [0, 0], [6, -6], [0, 30], [0, 0], [-8, 0], [-4, -4], [0, 0], [0, -24], [0, 0], [0, 0], [-48, -48], [-20, 20], [0, 0], [0, 0], [48, 0], [0, 0], [-27, 27], [0, -24], [0, 0], [-6, 0], [-27, -27], [0, 0], [0, -31], [0, 0], [0, 0], [-24, -24], [12, -12], [0, 0], [0, 0], 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