# Coefficient data for embedded newform 1200.3.bg.k.1057.1, downloaded from the LMFDB on 29 March 2024. {"label": "1200.3.bg.k.1057.1", "an_normalized": [[1.0, 0.0], [0.0, 0.0], [-0.408248290463863, 0.408248290463863], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.49278424896902545, 0.49278424896902545], [0.0, 0.0], [0.0, -0.3333333333333333], [0.0, 0.0], [-1.0316790207590485, 0.0], [0.0, 0.0], [0.42696232747821705, -0.42696232747821705], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.0204981899029137, 1.0204981899029137], [0.0, 0.0], [0.0, -0.4577336029841615], [0.0, 0.0], [-0.4023566544182466, 0.0], [0.0, 0.0], [0.5021960981398618, -0.5021960981398618], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.13608276348795434, 0.13608276348795434], [0.0, 0.0], [0.0, 1.2119457999821464], [0.0, 0.0], [-0.34506253086126026, 0.0], [0.0, 0.0], [0.42118119653231384, -0.42118119653231384], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.16338939689320547, 0.16338939689320547], [0.0, 0.0], [0.0, 0.34861328057090835], [0.0, 0.0], 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