# Stored data for newform 945.2.a.j, downloaded from the LMFDB on 19 April 2024.
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"analytic_rank_proved": true, "char_values": [945, 1, [596, 757, 136], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "1.955", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.939", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "69.786", "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], [7, -1]], "trace_display": [1, 0, 2, 2], "traces": [0, 2, 1, 0, 3, 2, 0, 2, 6, 0, 1, 6, 0, -1, 1, 0, -3, -1, 0, -3, 3, 0, 3, 5, 0, 2, 6, 0, 3, 7, 0, -12, -7, 0, -7, 2, 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], [1, 0], [0, 1], [0, 0], [1, 1], [1, 0], [0, 0], [1, 0], [3, 0], [0, 0], [0, 1], [3, 0], [0, 0], [-1, 1], [0, 1], [0, 0], [-2, 1], [0, -1], [0, 0], [-1, -1], [1, 1], [0, 0], [0, 3], [3, -1], [0, 0], [1, 0], [3, 0], [0, 0], [1, 1], [3, 1], [0, 0], [-7, 2], [-3, -1], [0, 0], [-3, -1], [1, 0], [0, 0], [-1, 2], [-3, -2], [0, 0], [3, 0], [0, -3], [0, 0], [5, -4], [3, 3], [0, 0], [-3, 2], [3, 2], [0, 0], [1, 0], [0, 1], [0, 0], [2, 1], [6, -5], [0, 0], [3, 0], [3, 0], [0, 0], [3, 4], [-3, 4], [0, 0], [5, -7], [6, -5], [0, 0], [1, -6], [-1, 1], [0, 0], [2, 5], [-3, -2], [0, 0], [0, 1], [9, -3], [0, 0], [-1, -4], [6, 1], [0, 0], [-4, -3], [3, 0], [0, 0], [-10, -3], [-2, 1], [0, 0], [-9, -3], [-3, -4], [0, 0], [0, -1], [-12, 1], [0, 0], [9, 0], [-3, 6], [0, 0], [-1, 1], [0, 1], [0, 0], [6, 5], [-1, -1], [0, 0], [2, -5], [0, 1], [0, 0], [1, 1]]}