# Coefficient data for embedded newform 450.4.a.f.1.1, downloaded from the LMFDB on 05 March 2026. {"label": "450.4.a.f.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [0.0, 0.0], [0.0, 0.0], [0.05399492471560389, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.1512251338423702, 0.0], [0.0, 0.0], [1.429419736426552, 0.0], [-0.038180177416060626, 0.0], [0.0, 0.0], [0.25, 0.0], [0.7704072795271754, 0.0], [0.0, 0.0], [-1.3885689155323475, 0.0], [0.0, 0.0], [0.0, 0.0], [0.8140390988123307, 0.0], [-1.4686667424889615, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0107523887891023, 0.0], [0.0, 0.0], [0.026997462357801944, 0.0], [1.3446903799027894, 0.0], [0.0, 0.0], [-1.1181878481021792, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [-0.5447602116291457, 0.0], [0.0, 0.0], [0.0, 0.0], [1.2707597397116808, 0.0], [0.9818664963177732, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.04570939372349446, 0.0], [0.0, 0.0], [-0.9327238138947681, 0.0], [-0.5756125669211851, 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