# Coefficient data for embedded newform 3969.1.br.a.1405.1, downloaded from the LMFDB on 28 March 2024. {"label": "3969.1.br.a.1405.1", "an_normalized": [[1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.2225209339563144, 0.9749279121818236], [0.0, 0.0], [0.0, 0.0], [0.9888308262251285, 0.14904226617617444], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0487597082723092, 0.41160785411820155], [0.0, 0.0], [0.0, 0.0], [-0.9009688679024191, 0.4338837391175581], [0.0, 0.0], [0.0, 0.0], [1.3541718505915235, 0.7818314824680298], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.9888308262251285, 0.14904226617617444], [0.0, 0.0], [0.0, 0.0], [0.07473009358642425, 0.9972037971811801], [0.0, 0.0], [0.0, 0.0], [0.0, 1.3603454755418387], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0747300935864244, -0.9972037971811801], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.6340207397322455, 1.1140564768884775], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], 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