# Coefficient data for embedded newform 414.3.k.b.71.3, downloaded from the LMFDB on 19 April 2024. {"label": "414.3.k.b.71.3", "an_normalized": [[1.0, 0.0], [-0.3822907882090914, 0.5948560777620681], [0.0, 0.0], [-0.20770750650094322, -0.45481599767725917], [0.08084702177685373, -0.275339670367632], [0.0, 0.0], [-0.2346530126829673, 0.27080401261455683], [0.3499547268589268, 0.050315893603253364], [0.0, 0.0], [0.13288040468775933, 0.15335216188299716], [0.47740852182373744, 0.7428621602750445], [0.0, 0.0], [-0.5578737258943325, -0.6438206003710287], [-0.07138372761191537, -0.2431106501922464], [0.0, 0.0], [-0.16371518348632128, 0.18893739358856457], [0.8048441661737196, 0.36756001488848394], [0.0, 0.0], [-0.2664199534649233, -0.5833783235741065], [-0.14202142017967997, 0.020419597504177663], [0.0, 0.0], [-0.6244049510848035, 0.0], [0.4765681558982868, 0.8791375277985272], [0.0, 0.0], [0.771977839683212, 0.49612003280311023], [0.596250583512417, -0.08572789169092268], [0.0, 0.0], 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