# Coefficient data for embedded newform 1638.2.a.x.1.1, downloaded from the LMFDB on 22 December 2024. {"label": "1638.2.a.x.1.1", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [-1.060916460116534, 0.0], [0.0, 0.0], [-0.37796447300922725, 0.0], [0.3535533905932738, 0.0], [0.0, 0.0], [-0.7501812232208286, 0.0], [0.7152697314955568, 0.0], [0.0, 0.0], [-0.2773500981126146, 0.0], [-0.2672612419124244, 0.0], [0.0, 0.0], [0.25, 0.0], [1.0604339835737353, 0.0], [0.0, 0.0], [0.37342427475705875, 0.0], [-0.530458230058267, 0.0], [0.0, 0.0], [0.5057720775179894, 0.0], [0.7564316342424681, 0.0], [0.0, 0.0], [0.12554373534619714, 0.0], [-0.19611613513818404, 0.0], [0.0, 0.0], [-0.18898223650461363, 0.0], [1.1833029352837512, 0.0], [0.0, 0.0], [-0.852148607116417, 0.0], [0.1767766952966369, 0.0], [0.0, 0.0], [0.7498400607856522, 0.0], [0.4009887307547606, 0.0], [0.0, 0.0], [-0.7187986217595534, 0.0], [0.2640508369403848, 0.0], [0.0, 0.0], [-0.3750906116104143, 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