# Stored data for newform 450.2.e.h, downloaded from the LMFDB on 20 April 2024. {"label": "450.2.e.h", "space_label": "450.2.e", "level": 450, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525472303055298, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1525950913589866020, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [16, -4, 1]], [11, [9, 3, 1]], [17, [3, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}+(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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"450.2.e.a", "char_is_minimal": true, "conrey_index": 151, "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], [2, -1], [0, -1], [0, 0], [1, -2], [4, -4], [-1, 0], [3, -3], [0, 0], [-3, 3], [-1, -1], [0, 4], [0, -4], [0, 0], [-1, 1], [-3, 0], [0, -3], [-4, 0], [0, 0], [4, -8], [0, 3], [0, 6], [-2, 1], [0, 0], [4, 0], [3, -6], [-4, 0], [6, -6], [0, 0], [0, -8], [0, 1], [-3, 6], [-3, 3], [0, 0], [-3, 0], [8, 0], [-4, 4], [4, 4], [0, 0], [0, 6], [-4, -4], [1, -1], [3, 0], [0, 0], [6, 0], [-12, 12], [-1, 2], [0, -9], [0, 0], [-6, 3], [4, -4], [0, 0], [-3, -3], [0, 0], [-4, 4], [-8, 4], [0, -6], [0, 9], [0, 0], [-8, 8], [-8, 0], [0, -12], [1, 0], [0, 0], [3, 3], [0, 4], [0, 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