# Coefficient data for embedded newform 690.3.g.a.461.1, downloaded from the LMFDB on 20 April 2024. {"label": "690.3.g.a.461.1", "an_normalized": [[1.0, 0.0], [0.0, -0.7071067811865476], [0.9273315697140996, -0.3742407778577638], [-0.5, 0.0], [0.0, -0.4472135954999579], [-0.2646281918197531, -0.6557224413532055], [1.3875560339640347, 0.0], [0.0, 0.3535533905932738], [0.7198876803768318, -0.6940905759637314], [-0.31622776601683794, 0.0], [0.0, 1.5265801014565763], [-0.4636657848570498, 0.1871203889288819], [1.093842794447105, 0.0], [0.0, -0.9811502808922804], [-0.16736556384847157, -0.4147152855124624], [0.25, 0.0], [0.0, 0.48944705991243254], [-0.490796153021631, -0.5090374604871117], [0.9881483252359736, 0.0], [0.0, 0.22360679774997896], [1.286724515042139, -0.5192800494719341], [1.0794551417643927, 0.0], [0.0, 0.20851441405707477], [0.13231409590987656, 0.3278612206766027], [-0.2, 0.0], [0.0, -0.7734636575055907], [0.4078175756092794, -0.9130634288066573], [-0.6937780169820174, 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