# Coefficient data for embedded newform 825.2.k.f.518.2, downloaded from the LMFDB on 29 March 2024. {"label": "825.2.k.f.518.2", "an_normalized": [[1.0, 0.0], [1.2071067811865475, 1.2071067811865475], [0.5773502691896257, 0.816496580927726], [0.0, 1.9142135623730951], [0.0, 0.0], [-0.28867513459481287, 1.6825219847121646], [0.22140646219360569, -0.22140646219360569], [-1.1035533905932737, 1.1035533905932737], [-0.3333333333333333, 0.9428090415820634], [0.0, 0.0], [0.0, 0.30151134457776363], [-1.5629488288431146, 1.105171715522539], [0.5547001962252291, 0.5547001962252291], [0.5345224838248488, 0.0], [0.0, 0.0], [-0.75, 0.0], [-0.6859943405700354, -0.6859943405700354], [-1.540440114519881, 0.7357022603955159], [0.0, -0.6488856845230502], [0.0, 0.0], [0.3086066999241838, 0.052948538828581936], [-0.36395638864449226, 0.36395638864449226], [1.0931661509864576, -1.0931661509864576], [-1.5381844174147583, -0.2639107231664566], [0.0, 0.0], [0.0, 1.3391647367779653], [-0.9622504486493763, 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