# Coefficient data for embedded newform 570.2.c.b.569.4, downloaded from the LMFDB on 29 March 2024. {"label": "570.2.c.b.569.4", "an_normalized": [[1.0, 0.0], [0.0, 0.7071067811865476], [0.816496580927726, 0.5773502691896257], [-0.5, 0.0], [0.9486832980505138, 0.31622776601683794], [-0.408248290463863, 0.5773502691896257], [0.0, 0.0], [0.0, -0.3535533905932738], [0.3333333333333333, 0.9428090415820634], [-0.22360679774997896, 0.6708203932499369], [0.0, 0.8528028654224418], [-0.408248290463863, -0.28867513459481287], [-1.1766968108291043, 0.0], [0.0, 0.0], [0.592022483406428, 0.8059214472523273], [0.25, 0.0], [0.0, 0.0], [-0.6666666666666666, 0.23570226039551584], [0.22941573387056177, -0.9733285267845753], [-0.4743416490252569, -0.15811388300841897], [0.0, 0.0], [-0.6030226891555273, 0.0], [0.8846517369293828, 0.0], [0.2041241452319315, -0.28867513459481287], [0.8, 0.6], [0.0, -0.8320502943378437], [-0.2721655269759087, 0.9622504486493763], [0.0, 0.0], [1.1141720290623112, 0.0], 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