# Stored data for newform 192.3.e.c, downloaded from the LMFDB on 23 April 2024. {"label": "192.3.e.c", "space_label": "192.3.e", "level": 192, "weight": 3, "hecke_orbit": 3, "hecke_orbit_code": 9007474182979776, "dim": 2, "is_polredabs": true, "nf_label": "2.0.8.1", "trace_hash": 402936552681280144, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [32, 0, 1]], [7, [6, 1]]], "qexp_display": "q+(-1+\\beta )q^{3}-2\\beta q^{5}-6q^{7}+(-7+\\cdots)q^{9}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "e", "char_is_real": true, "Nk2": 1728, "analytic_conductor": 5.2316210757177, "hecke_ring_index": 2, "level_radical": 6, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "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": "0.508", 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false, "conrey_index": 65, "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], [0, 0], [-1, 1], [0, 0], [0, -2], [0, 0], [-6, 0], [0, 0], [-7, -2], [0, 0], [0, -2], [0, 0], [-10, 0], [0, 0], [16, 2], [0, 0], [0, -8], [0, 0], [-2, 0], [0, 0], [6, -6], [0, 0], [0, -4], [0, 0], [-7, 0], [0, 0], [23, -5], [0, 0], [0, -6], [0, 0], [-22, 0], [0, 0], [16, 2], [0, 0], [0, 12], [0, 0], [6, 0], [0, 0], [10, -10], [0, 0], [0, 12], [0, 0], [-82, 0], [0, 0], [-32, 14], [0, 0], [0, 24], [0, 0], [-13, 0], [0, 0], [64, 8], [0, 0], [0, 22], [0, 0], [-32, 0], [0, 0], [2, -2], [0, 0], [0, -26], [0, 0], [86, 0], [0, 0], [42, 12], [0, 0], [0, 20], [0, 0], [-2, 0], [0, 0], [32, 4], [0, 0], [0, -44], 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