# Stored data for newform 585.2.a.k, downloaded from the LMFDB on 25 April 2024.
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"prec": 17}, "analytic_rank_proved": true, "char_values": [585, 1, [326, 352, 496], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.878", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.738", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "56.483", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [13, -1]], "trace_display": [0, 0, 2, 4], "traces": [0, 2, 0, 0, 2, 2, 0, 4, 0, 0, 0, 6, 0, 2, 0, 0, -10, 0, 0, -2, 2, 0, 6, -6, 0, 2, 0, 0, 4, 12, 0, 10, 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null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 1], [0, 0], [1, 0], [1, 0], [0, 0], [2, 0], [0, -1], [0, 0], [0, 1], [3, 1], [0, 0], [1, 0], [0, 2], [0, 0], [-5, 0], [0, 2], [0, 0], [-1, -3], [1, 0], [0, 0], [3, 3], [-3, 1], [0, 0], [1, 0], [0, 1], [0, 0], [2, 0], [6, -2], [0, 0], [5, 3], [0, -3], [0, 0], [6, 0], [2, 0], [0, 0], [-4, 0], [-9, -1], [0, 0], [0, -1], [0, -2], [0, 0], [5, -3], [3, 1], [0, 0], [3, -3], [-6, 0], [0, 0], [-3, 0], [0, 1], [0, 0], [1, 0], [0, -6], [0, 0], [3, 1], [0, -2], [0, 0], [-6, 6], [3, -7], [0, 0], [2, -6], [9, 5], [0, 0], [1, 0], [1, 0], [0, 0], [-4, 6], [0, 2], [0, 0], [0, 2], [-3, -1], [0, 0], [-4, 0], [0, -4], [0, 0], [-1, -3], [6, 2], [0, 0], [2, -6], [-5, 0], [0, 0], [-6, 0], [6, 0], [0, 0], [0, 2], [-9, 5], [0, 0], [-3, -3], [6, 4], [0, 0], [2, 0], [-3, 1], [0, 0], [0, -6], [-1, -3], [0, 0], [2, 0], [0, -3], [0, 0], [1, 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