# Coefficient data for embedded newform 4650.2.a.by.1.2, downloaded from the LMFDB on 20 April 2024. {"label": "4650.2.a.by.1.2", "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], [0.8966380601790053, 0.0], [-0.3535533905932738, 0.0], [0.3333333333333333, 0.0], [0.0, 0.0], [1.9213151098066112, 0.0], [-0.28867513459481287, 0.0], [0.5547001962252291, 0.0], [-0.6340188526225262, 0.0], [0.0, 0.0], [0.25, 0.0], [-1.635796717074805, 0.0], [-0.23570226039551584, 0.0], [-1.4619015962074353, 0.0], [0.0, 0.0], [-0.5176742254100125, 0.0], [-1.358574942940431, 0.0], [0.4946548500999805, 0.0], [0.2041241452319315, 0.0], [0.0, 0.0], [-0.3922322702763681, 0.0], [-0.19245008972987526, 0.0], [0.44831903008950263, 0.0], [0.5096524887969837, 0.0], [0.0, 0.0], [-0.1796053020267749, 0.0], [-0.1767766952966369, 0.0], [-1.1092717958449425, 0.0], [1.1566829512862868, 0.0], [0.0, 0.0], [0.16666666666666666, 0.0], 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