# Stored data for newform 825.2.a.m, downloaded from the LMFDB on 19 April 2024.
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"prec": 17}, "analytic_rank_proved": true, "char_values": [825, 1, [551, 727, 376], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 568, "field_disc_factorization": [[2, 3], [71, 1]], "field_poly": [-2, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.944", "prec": 17}, {"__RealLiteral__": 0, "data": "0.310", "prec": 17}, {"__RealLiteral__": 0, "data": "23.173", "prec": 20}, {"__RealLiteral__": 0, "data": "7.862", "prec": 17}, {"__RealLiteral__": 0, "data": "269.618", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [11, -1]], "trace_display": [2, 3, 0, -3], "traces": [0, 3, 2, 3, 8, 0, 2, -3, 6, 3, 0, 3, 8, -5, 6, 0, 10, 4, 2, -1, 0, -3, 2, 0, 6, 0, -8, 3, 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