# Stored data for newform 430.2.e.c, downloaded from the LMFDB on 25 April 2024. {"label": "430.2.e.c", "space_label": "430.2.e", "level": 430, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007474166202798, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 219609969526206807, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [0, 1]]], "qexp_display": "q+q^{2}+q^{4}+(1-\\zeta_{6})q^{5}-4\\zeta_{6}q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 43, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1720, "analytic_conductor": 3.4335672869150566, "hecke_ring_index": 1, "level_radical": 430, "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": "0.011", "prec": 17}, 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"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, 0], [0, 0], [1, 0], [1, -1], [0, 0], [0, -4], [1, 0], [0, 3], [1, -1], [5, 0], [0, 0], [0, -2], [0, -4], [0, 0], [1, 0], [0, -3], [0, 3], [-1, 1], [1, -1], [0, 0], [5, 0], [4, -4], [0, 0], [0, -1], [0, -2], [0, 0], [0, -4], [0, 8], [0, 0], [0, 0], [1, 0], [0, 0], [0, -3], [-4, 0], [0, 3], [-10, 10], [-1, 1], [0, 0], [1, -1], [-7, 0], [0, 0], [-6, 7], [5, 0], [3, 0], [4, -4], [6, 0], [0, 0], [-9, 9], [0, -1], [0, 0], [0, -2], [-4, 4], [0, 0], [5, -5], [0, -4], [0, 0], [0, 8], [-3, 0], [0, 0], [0, -14], [0, 0], [12, -12], [1, 0], [-2, 0], [0, 0], [3, -3], [0, -3], [0, 0], [-4, 0], [0, -6], [0, 3], [0, 11], [-10, 10], [0, 0], [-1, 1], [0, -20], [0, 0], [0, 6], [1, 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