# Coefficient data for embedded newform 4650.2.a.by.1.1, downloaded from the LMFDB on 20 April 2024. {"label": "4650.2.a.by.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [-0.5773502691896257, 0.0], [0.5, 0.0], [0.0, 0.0], [0.408248290463863, 0.0], [-1.2746025331882325, 0.0], [-0.3535533905932738, 0.0], [0.3333333333333333, 0.0], [0.0, 0.0], [0.18926430223773402, 0.0], [-0.28867513459481287, 0.0], [0.5547001962252291, 0.0], [0.9012800945349506, 0.0], [0.0, 0.0], [0.25, 0.0], [1.150725467002139, 0.0], [-0.23570226039551584, 0.0], [-0.144008540886497, 0.0], [0.0, 0.0], [0.7358921156460049, 0.0], [-0.133830071548842, 0.0], [-0.7031692641570553, 0.0], [0.2041241452319315, 0.0], [0.0, 0.0], [-0.3922322702763681, 0.0], [-0.19245008972987526, 0.0], [-0.6373012665941162, 0.0], [-1.623824517859295, 0.0], [0.0, 0.0], [-0.1796053020267749, 0.0], [-0.1767766952966369, 0.0], [-0.10927179584494244, 0.0], [-0.8136857810012692, 0.0], [0.0, 0.0], [0.16666666666666666, 0.0], 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