# Coefficient data for embedded newform 1050.3.p.c.451.3, downloaded from the LMFDB on 29 March 2024. {"label": "1050.3.p.c.451.3", "an_normalized": [[1.0, 0.0], [0.3535533905932738, 0.6123724356957945], [-0.5, -0.28867513459481287], [-0.25, 0.4330127018922193], [0.0, 0.0], [0.0, -0.408248290463863], [-0.5679581670783329, -0.8230574223278838], [-0.3535533905932738, 0.0], [0.16666666666666666, 0.28867513459481287], [0.0, 0.0], [-0.14975273134564912, 0.2593793392628767], [0.25, -0.14433756729740643], [0.0, 0.5945001121627578], [0.3032141427427427, -0.6387966684640611], [0.0, 0.0], [-0.125, -0.21650635094610965], [-0.6428243632041346, -0.3711348191375569], [-0.11785113019775792, 0.2041241452319315], [0.08121240201489688, -0.046888002164836816], [0.0, 0.0], [0.04638287136940487, 0.5754841114895028], [-0.2117823436714315, 0.0], [0.14687788875169938, 0.2543999658263926], [0.1767766952966369, 0.10206207261596575], [0.0, 0.0], [-0.364055481706531, 0.21018753036322455], [0.0, 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