# Stored data for newform 245.2.a.f, downloaded from the LMFDB on 20 April 2024.
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"analytic_rank_proved": true, "char_values": [245, 1, [197, 101], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.050", "prec": 17}, {"__RealLiteral__": 0, "data": "1.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.162", "prec": 17}, {"__RealLiteral__": 0, "data": "9.829", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.579", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [7, 1]], "trace_display": [0, 2, 2, 0], "traces": [0, 2, 0, 2, 0, 2, 4, 0, 0, 0, 0, -6, 0, 6, 0, 2, -8, -2, 8, 12, 0, 0, -8, 12, -8, 2, -4, 2, 0, -6, 4, 12, 0, -14, -12, 0, 0, -4, 0, 2, 0, -4, 0, 4, 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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, 0], [1, 0], [0, 1], [1, 1], [0, 0], [1, 0], [2, 1], [0, 0], [0, -2], [0, 2], [0, 1], [-3, -2], [0, 0], [3, -1], [0, 0], [1, 1], [-4, 0], [-1, -3], [4, 0], [6, 0], [0, 0], [0, 0], [-4, -3], [6, -1], [-4, -2], [1, 0], [-2, 3], [1, -1], [0, 0], [-3, 4], [2, 1], [6, -3], [0, 0], [-7, -5], [-6, -1], [0, 0], [0, 0], [-2, -3], [0, 6], [1, 2], [0, -2], [-2, 3], [0, 0], [2, 0], [0, 0], [0, 2], [-2, 6], [-3, 3], [-4, -4], [0, 0], [0, 1], [-7, -4], [0, 0], [0, -3], [-2, 1], [-3, -2], [0, 0], [6, 6], [8, -3], [2, 3], [0, 0], [0, 2], [-6, 6], [0, 0], [8, 0], [3, -1], [-10, -7], [-4, 3], [0, 0], [4, 5], [0, 0], [-6, -2], [-8, 0], [0, 6], [-6, -2], [1, 1], [0, 0], [0, 0], [4, 1], [-7, -6], [-4, 0], [-1, -6], [6, -2], [0, 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