# Stored data for newform 567.2.a.h, downloaded from the LMFDB on 24 April 2024.
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"analytic_rank_proved": true, "char_values": [567, 1, [407, 325], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "2.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.371", "prec": 17}, {"__RealLiteral__": 0, "data": "22.651", "prec": 20}, {"__RealLiteral__": 0, "data": "5.604", "prec": 17}, {"__RealLiteral__": 0, "data": "247.990", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1]], "trace_display": [3, 0, 3, 3], "traces": [0, 3, 3, 0, 3, 3, 0, 3, 6, 0, 0, 6, 0, -3, 3, 0, 3, 6, 0, -3, -6, 0, 9, 12, 0, -6, -3, 0, 3, 9, 0, -3, 0, 0, 9, 3, 0, -3, 6, 0, -9, 0, 0, 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"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, 0, 0], [1, 0, 0], [1, -1, 0], [0, 0, 0], [1, -2, 1], [1, 1, -1], [0, 0, 0], [1, 0, 0], [2, -2, 3], [0, 0, 0], [0, 1, -2], [2, -1, 1], [0, 0, 0], [-1, 2, -4], [1, -1, 0], [0, 0, 0], [1, -3, 3], [2, 0, -1], [0, 0, 0], [-1, -2, 1], [-2, 1, -1], [0, 0, 0], [3, -4, 2], [4, 1, 2], [0, 0, 0], [-2, 1, -2], [-1, 7, -6], [0, 0, 0], [1, -2, 1], [3, 5, -4], [0, 0, 0], [-1, 3, 3], [0, -3, 0], [0, 0, 0], [3, -1, -1], [1, 1, -1], [0, 0, 0], [-1, 3, 3], [2, -2, 3], [0, 0, 0], [-3, 2, 2], [0, 1, 1], [0, 0, 0], [-1, -1, -1], [5, -7, 4], [0, 0, 0], [0, -5, 1], [1, 2, 3], [0, 0, 0], [1, 0, 0], [-2, 5, -3], [0, 0, 0], [-7, 10, -5], [2, -3, 2], [0, 0, 0], [0, 2, -1], [2, -2, 3], [0, 0, 0], [-3, 6, -9], [-1, -5, 0], [0, 0, 0], [2, 3, 0], [-10, 1, 0], [0, 0, 0], [4, 3, -3], [5, -1, -5], 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