# Coefficient data for embedded newform 1638.2.a.a.1.1, downloaded from the LMFDB on 11 October 2024. {"label": "1638.2.a.a.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [-1.3416407864998738, 0.0], [0.0, 0.0], [-0.37796447300922725, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [0.9486832980505138, 0.0], [-0.30151134457776363, 0.0], [0.0, 0.0], [-0.2773500981126146, 0.0], [0.2672612419124244, 0.0], [0.0, 0.0], [0.25, 0.0], [-1.697749375254331, 0.0], [0.0, 0.0], [0.22941573387056177, 0.0], [-0.6708203932499369, 0.0], [0.0, 0.0], [0.21320071635561044, 0.0], [1.4596008983995232, 0.0], [0.0, 0.0], [0.8, 0.0], [0.19611613513818404, 0.0], [0.0, 0.0], [-0.18898223650461363, 0.0], [-0.5570860145311556, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [1.200490095997562, 0.0], [0.50709255283711, 0.0], [0.0, 0.0], [-0.8219949365267865, 0.0], [-0.16222142113076254, 0.0], [0.0, 0.0], [0.4743416490252569, 0.0], [-0.6246950475544243, 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