# Coefficient data for embedded newform 414.2.a.e.1.2, downloaded from the LMFDB on 24 April 2025. {"label": "414.2.a.e.1.2", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [0.7360023611199653, 0.0], [0.0, 0.0], [0.7559289460184545, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [-0.5204322605172376, 0.0], [-0.496212690639702, 0.0], [0.0, 0.0], [1.4675987714106855, 0.0], [-0.5345224838248488, 0.0], [0.0, 0.0], [0.25, 0.0], [-0.7983066457668299, 0.0], [0.0, 0.0], [0.08127022294480131, 0.0], [0.36800118055998265, 0.0], [0.0, 0.0], [0.3508753584621558, 0.0], [0.20851441405707477, 0.0], [0.0, 0.0], [-0.45830052442583624, 0.0], [-1.0377490433255416, 0.0], [0.0, 0.0], [0.37796447300922725, 0.0], [1.7253887215892425, 0.0], [0.0, 0.0], [-0.23196071851588332, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [0.5644880426880124, 0.0], [0.5563654891085092, 0.0], [0.0, 0.0], [1.1404775212971627, 0.0], [-0.05746672575281155, 0.0], [0.0, 0.0], [-0.2602161302586188, 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