# Stored data for newform 261.2.a.d, downloaded from the LMFDB on 24 April 2024.
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"analytic_rank_proved": true, "char_values": [261, 1, [146, 118], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 29], "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": "0.038", "prec": 17}, {"__RealLiteral__": 0, "data": "1.949", "prec": 17}, {"__RealLiteral__": 0, "data": "0.170", "prec": 17}, {"__RealLiteral__": 0, "data": "9.152", "prec": 17}, {"__RealLiteral__": 0, "data": "1.585", "prec": 17}, {"__RealLiteral__": 0, "data": "60.014", "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], [29, 1]], "trace_display": [2, 0, 2, 0], "traces": [0, 2, 2, 0, 2, 2, 0, 0, 6, 0, 2, -2, 0, -2, -8, 0, 6, 4, 0, 12, 2, 0, 2, 4, 0, -8, -10, 0, -16, -2, 0, 6, -6, 0, -4, 0, 0, -8, 12, 0, 6, -8, 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], [1, 1], [0, 0], [1, 2], [1, 0], [0, 0], [0, -2], [3, 1], [0, 0], [1, 1], [-1, 1], [0, 0], [-1, -2], [-4, -2], [0, 0], [3, 0], [2, -2], [0, 0], [6, 0], [1, 2], [0, 0], [1, 0], [2, -4], [0, 0], [-4, 0], [-5, -3], [0, 0], [-8, -2], [-1, 0], [0, 0], [3, 5], [-3, 1], [0, 0], [-2, 0], [0, -2], [0, 0], [-4, 0], [6, 6], [0, 0], [3, 1], [-4, 6], [0, 0], [5, -1], [3, -1], [0, 0], [-6, -2], [-1, 3], [0, 0], [1, 0], [-4, -4], [0, 0], [-9, -4], [-1, -6], [0, 0], [-1, 1], [-4, -6], [0, 0], [-1, -1], [-2, 4], [0, 0], [-2, -2], [13, 8], [0, 0], [-7, -2], [-1, -2], [0, 0], [0, 4], [-6, 2], [0, 0], [-4, -2], [6, 2], [0, 0], [4, 0], [-4, -4], [0, 0], [6, 12], [-4, 2], [0, 0], [-1, -1], [3, 0], [0, 0], [8, 2], [-2, -4], [0, 0], [2, -2], [3, 4], [0, 0], [-1, 2], [4, 6], [0, 0], [8, 2], [-14, 0], [0, 0], [5, 2], [6, 0], [0, 0], [-4, 6], [1, 1], [0, 0], [-4, -8]]}