# Coefficient data for embedded newform 1638.4.a.c.1.1, downloaded from the LMFDB on 10 December 2025. {"label": "1638.4.a.c.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [-0.2683281572999748, 0.0], [0.0, 0.0], [-0.37796447300922725, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [0.18973665961010275, 0.0], [-0.6304328113898694, 0.0], [0.0, 0.0], [-0.2773500981126146, 0.0], [0.2672612419124244, 0.0], [0.0, 0.0], [0.25, 0.0], [1.8974845958724873, 0.0], [0.0, 0.0], [1.2436747678246243, 0.0], [-0.1341640786499874, 0.0], [0.0, 0.0], [0.44578331601627635, 0.0], [1.0244403821064978, 0.0], [0.0, 0.0], [-0.928, 0.0], [0.19611613513818404, 0.0], [0.0, 0.0], [-0.18898223650461363, 0.0], [-0.9028635407918728, 0.0], [0.0, 0.0], [-0.521434747819669, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [-1.3417242249384516, 0.0], [0.10141851056742199, 0.0], [0.0, 0.0], [-1.0352692984364391, 0.0], [-0.8794108619193969, 0.0], [0.0, 0.0], [0.09486832980505137, 0.0], 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