# Stored data for newform 675.2.a.k, downloaded from the LMFDB on 25 April 2024.
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"analytic_rank_proved": true, "char_values": [675, 1, [326, 352], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "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": "1.974", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.374", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61.756", "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]], "trace_display": [-1, 0, 0, -2], "traces": [0, 2, -1, 0, 3, 0, 0, -2, -6, 0, 0, -2, 0, -6, -12, 0, -3, -4, 0, 0, 0, 0, 14, -6, 0, 0, 16, 0, 10, -10, 0, -4, 7, 0, -11, 0, 0, -4, -13, 0, 0, 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"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], [0, 0], [0, 0], [-2, 2], [-3, 0], [0, 0], [0, 0], [0, -2], [0, 0], [-2, -2], [-6, 0], [0, 0], [-2, 1], [-3, 2], [0, 0], [-1, 2], [0, 0], [0, 0], [6, 2], [-3, 0], [0, 0], [0, 0], [6, 4], [0, 0], [4, 2], [-6, 2], [0, 0], [-1, -2], [3, 1], [0, 0], [-6, 1], [0, 0], [0, 0], [-2, 0], [-6, -1], [0, 0], [0, 0], [0, 2], [0, 0], [4, -2], [-6, -4], [0, 0], [0, 3], [0, -4], [0, 0], [9, -4], [0, 0], [0, 0], [-8, -6], [-3, 2], [0, 0], [0, 0], [6, -6], [0, 0], [-6, 4], [6, -2], [0, 0], [5, -4], [6, 3], [0, 0], [1, -6], [0, 0], [0, 0], [10, -4], [3, 1], [0, 0], [0, 0], [-12, 2], [0, 0], [-8, -2], [0, 2], [0, 0], [5, 3], [-12, 0], [0, 0], [-7, -2], [0, 0], [0, 0], [-6, -2], [3, 0], [0, 0], [0, 0], [6, -2], [0, 0], [0, 6], [0, 6], [0, 0], [-8, -4], [-3, -3], [0, 0], [12, 4], [0, 0], [0, 0], [-8, 0], [12, -5], [0, 0], [0, 0]]}