# Stored data for newform 525.2.a.f, downloaded from the LMFDB on 07 May 2024.
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"analytic_rank_proved": true, "char_values": [525, 1, [176, 127, 451], [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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.907", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.797", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "55.756", "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, -2, 0, -2], "traces": [0, 2, -1, -2, 3, 0, 1, -2, -6, 2, 0, -6, -3, -2, 1, 0, -3, -2, -1, 6, 0, 2, 3, -2, 6, 0, -12, -2, -3, -8, 0, 0, 7, 6, 14, 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"minimal_twist": "525.2.a.f", "char_is_minimal": true, "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, 0], [1, 1], [0, 0], [0, 1], [-1, 0], [-3, 0], [1, 0], [0, 0], [-3, 0], [-1, -1], [-2, 2], [0, 1], [0, 0], [-2, 1], [0, -2], [0, -1], [2, 2], [0, 0], [1, 0], [0, 3], [-3, 4], [3, 0], [0, 0], [-6, 0], [-1, 0], [-1, -1], [-3, -2], [0, 0], [2, -4], [3, 1], [3, 0], [6, 2], [0, 0], [1, 1], [-5, 4], [-6, -4], [2, -2], [0, 0], [0, 0], [0, -1], [-5, -2], [-3, -3], [0, 0], [-12, -1], [-6, -2], [2, -1], [1, 0], [0, 0], [0, 2], [4, 2], [6, -4], [0, 1], [0, 0], [3, 0], [-2, -2], [6, 5], [-6, -2], [0, 0], [8, -4], [12, 2], [-1, 0], [1, -6], [0, 0], [0, -3], [-11, -2], [-6, -4], [3, -4], [0, 0], [-3, 0], [-3, 0], [4, -2], [-12, 1], [0, 0], [8, 6], [3, 0], [6, 0], [-1, -6], [0, 0], [1, 0], [0, 0], [-6, 4], [1, 1], [0, 0], [6, 7], [3, 2], [9, 0], [-6, 6], [0, 0], [2, -2], [9, 5], [-2, 4], [6, 8], [0, 0], [-3, -1], [10, -4], [0, -1], [-3, 0], [0, 0]]}