# Coefficient data for embedded newform 138.5.c.a.47.3, downloaded from the LMFDB on 15 May 2024. {"label": "138.5.c.a.47.3", "an_normalized": [[1.0, 0.0], [0.0, -0.7071067811865476], [-0.884665565804059, 0.4662261647318651], [-0.5, 0.0], [0.0, -0.731107627901341], [0.3296716826484982, 0.625553020662284], [-0.9264296608276196, 0.0], [0.0, 0.3535533905932738], [0.5652663266388316, -0.8249084676303436], [-0.5169711614662493, 0.0], [0.0, 0.012768280511047683], [0.4423327829020295, -0.23311308236593256], [-1.1185284517852336, 0.0], [0.0, 0.6550846954635631], [0.34086150536265375, 0.6467857433010032], [0.25, 0.0], [0.0, 1.2349462316884654], [-0.5832983713196197, -0.3997036527427278], [1.8216503231184067, 0.0], [0.0, 0.3655538139506705], [0.8195804200737286, -0.43192574766150366], [0.009028537733453855, 0.0], [0.0, -0.20851441405707477], [-0.1648358413242491, -0.312776510331142], [0.46548163642447427, 0.0], [0.0, 0.7909190532074291], [-0.11547774356778889, 0.9933100677736494], 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