# Stored data for newform 539.2.a.d, downloaded from the LMFDB on 07 May 2024.
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"char_values": [539, 1, [199, 442], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.963", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.850", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.445", "prec": 17}], "related_objects": ["EllipticCurve/Q/539/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, -1], [11, -1]], "trace_display": [1, -2, 2, 0], "traces": [0, 1, 1, -2, -1, 2, -2, 0, -3, 1, 2, 1, 2, -4, 0, -4, -1, -4, 1, 0, -2, 0, 1, -4, 6, -1, -4, 4, 0, -6, -4, -10, 5, -2, -4, 0, -1, -6, 0, 8, -6, -4, 0, 12, -1, 2, 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"conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [1], [-2], [-1], [2], [-2], [0], [-3], [1], [2], [1], [2], [-4], [0], [-4], [-1], [-4], [1], [0], [-2], [0], [1], [-4], [6], [-1], [-4], [4], [0], [-6], [-4], [-10], [5], [-2], [-4], [0], [-1], [-6], [0], [8], [-6], [-4], [0], [12], [-1], [2], [-4], [10], [2], [0], [-1], [8], [4], [-6], [4], [2], [0], [0], [-6], [-2], [4], [0], [-10], [0], [7], [-8], [-2], [8], [4], [8], [0], [-12], [-3], [8], [-6], [2], [0], [0], [8], [8], [-2], [-11], [-4], [0], [0], [-8], [12], [12], [-3], [6], [2], [0], [4], [20], [10], [0], [-10], [10], [0], [1], [1]]}