# Coefficient data for embedded newform 414.4.a.n.1.4, downloaded from the LMFDB on 13 July 2025. {"label": "414.4.a.n.1.4", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [1.1833796585127965, 0.0], [0.0, 0.0], [-0.5557495862981086, 0.0], [0.3535533905932738, 0.0], [0.0, 0.0], [0.8367757812526193, 0.0], [0.4027303676135002, 0.0], [0.0, 0.0], [-0.49691805900413044, 0.0], [-0.39297430111301096, 0.0], [0.0, 0.0], [0.25, 0.0], [1.7012469857800903, 0.0], [0.0, 0.0], [1.357905713477477, 0.0], [0.5916898292563982, 0.0], [0.0, 0.0], [0.2847733739292571, 0.0], [0.20851441405707477, 0.0], [0.0, 0.0], [0.4003874161818628, 0.0], [-0.3513741292158776, 0.0], [0.0, 0.0], [-0.2778747931490543, 0.0], [-0.6700779205821722, 0.0], [0.0, 0.0], [-0.15703201630175115, 0.0], [0.1767766952966369, 0.0], [0.0, 0.0], [1.2029632801182757, 0.0], [-0.6576627556520837, 0.0], [0.0, 0.0], [-0.10998349210176317, 0.0], [0.9601843382118811, 0.0], [0.0, 0.0], [0.41838789062630966, 0.0], 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