# Stored data for newform 475.2.a.i, downloaded from the LMFDB on 25 April 2024.
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"analytic_rank_proved": true, "char_values": [475, 1, [77, 401], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 11344, "field_disc_factorization": [[2, 4], [709, 1]], "field_poly": [3, 4, -4, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "3.668", "prec": 17}, {"__RealLiteral__": 0, "data": "0.960", "prec": 17}, {"__RealLiteral__": 0, "data": "38.564", "prec": 20}, {"__RealLiteral__": 0, "data": "31.163", "prec": 20}, {"__RealLiteral__": 0, "data": "625.926", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [19, -1]], "trace_display": [2, -2, 0, -4], "traces": [0, 4, 2, -2, 8, 0, 0, -4, 12, 8, 0, 4, -6, -2, -8, 0, 4, -4, 34, 4, 0, -4, -4, 8, -24, 0, 4, 4, 8, 4, 0, 4, 6, -8, -4, 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