# Stored data for newform 585.2.i.c, downloaded from the LMFDB on 16 April 2024. {"label": "585.2.i.c", "space_label": "585.2.i", "level": 585, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007749044109897, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 850592371362385241, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -1, 1]], [7, [1, -1, 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": "i", "char_is_real": false, "Nk2": 2340, "analytic_conductor": 4.671248518244902, "hecke_ring_index": 1, "level_radical": 195, "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": 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"minimal_twist": "585.2.i.c", "char_is_minimal": true, "conrey_index": 196, "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, 1], [1, -2], [1, -1], [3, 0], [3, -3], [1, 0], [-2, 2], [1, 1], [0, 1], [0, -1], [1, 1], [1, -1], [-4, 0], [0, -3], [0, 0], [-1, 1], [1, -2], [0, 2], [0, 3], [6, -3], [-1, 1], [1, 0], [3, -6], [1, 0], [1, -1], [2, -1], [0, -8], [0, 5], [-2, 4], [-4, 4], [1, 0], [3, 0], [4, 0], [0, 0], [1, 1], [0, 3], [0, -9], [-1, -1], [8, -8], [-2, 0], [3, 0], [3, 0], [-13, 13], [1, -2], [0, 6], [0, 1], [-8, 4], [-1, 1], [-10, 0], [-3, -3], [-2, 0], [3, -3], [0, 0], [0, -1], [0, -6], [-1, 2], [1, -1], [-8, 0], [0, -3], [7, 0], [-1, 1], [2, 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