# Stored data for newform 475.2.e.c, downloaded from the LMFDB on 25 April 2024. {"label": "475.2.e.c", "space_label": "475.2.e", "level": 475, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007474166202843, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 2103342450097588187, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [4, -2, 1]]], "qexp_display": "q+(2-2\\zeta_{6})q^{2}-2\\zeta_{6}q^{4}+4q^{7}+3\\zeta_{6}q^{9}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1900, "analytic_conductor": 3.7928940960108184, "hecke_ring_index": 1, "level_radical": 95, "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": "0.009", 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"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], [2, -2], [0, 0], [0, -2], [0, 0], [0, 0], [4, 0], [0, 0], [0, 3], [0, 0], [-1, 0], [0, 0], [0, -2], [8, -8], [0, 0], [4, -4], [-2, 2], [6, 0], [-2, -3], [0, 0], [0, 0], [-2, 2], [0, 6], [0, 0], [0, 0], [-4, 0], [0, 0], [0, -8], [0, -9], [0, 0], [-7, 0], [0, -8], [0, 0], [0, 4], [0, 0], [6, -6], [-2, 0], [-10, 4], [0, 0], [0, 0], [-2, 2], [0, 0], [2, -2], [0, 2], [0, 0], [12, 0], [0, 6], [0, 0], [9, 0], [0, 0], [0, 0], [-4, 4], [0, 4], [0, 0], [0, 0], [0, 0], [0, 0], [-18, 0], [-9, 9], [0, 0], [0, 7], [-14, 14], [0, 12], [-8, 0], [0, 0], [0, 0], [0, -10], [4, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [10, -10], [-4, 4], [0, 0], [-6, 10], [-4, 0], [0, 0], [-1, 1], [0, 0], [-9, 9], [0, 4], [6, 0], [0, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 11], [0, 0], [0, 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