# Coefficient data for embedded newform 414.4.a.b.1.1, downloaded from the LMFDB on 20 April 2025. {"label": "414.4.a.b.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [1.7888543819998317, 0.0], [0.0, 0.0], [0.10798984943120778, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [-1.2649110640673518, 0.0], [1.4253263561857916, 0.0], [0.0, 0.0], [0.917388786064802, 0.0], [-0.07636035483212125, 0.0], [0.0, 0.0], [0.25, 0.0], [0.7133400736362735, 0.0], [0.0, 0.0], [-0.8935139108642932, 0.0], [0.8944271909999159, 0.0], [0.0, 0.0], [-1.0078579318628857, 0.0], [0.20851441405707477, 0.0], [0.0, 0.0], [2.2, 0.0], [-0.6486918316109164, 0.0], [0.0, 0.0], [0.05399492471560389, 0.0], [0.04482301266342631, 0.0], [0.0, 0.0], [-1.5816854017196629, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [-0.5044076033603201, 0.0], [0.19317811536651808, 0.0], [0.0, 0.0], [-0.017772863492471057, 0.0], [0.6318097454566541, 0.0], [0.0, 0.0], [-0.6324555320336759, 0.0], 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