# Coefficient data for embedded newform 42.3.c.a.13.3, downloaded from the LMFDB on 16 April 2024. {"label": "42.3.c.a.13.3", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 0.0], [0.0, -0.5773502691896257], [0.5, 0.0], [0.0, -0.2029223744709153], [0.0, -0.408248290463863], [-0.32037724101704074, 0.9472900418764619], [0.3535533905932738, 0.0], [-0.3333333333333333, 0.0], [0.0, -0.14348778704286017], [-0.9311491533744805, 0.0], [0.0, -0.28867513459481287], [0.0, 0.6890328442295894], [-0.2265409196609864, 0.6698352123613348], [-0.11715728752538099, 0.0], [0.25, 0.0], [0.0, -1.788734634456042], [-0.23570226039551584, 0.0], [0.0, 0.8490429645856669], [0.0, -0.10146118723545765], [0.5469181606780271, 0.18496988634341807], [-0.6584218806472077, 0.0], [-0.2925183504938198, 0.0], [0.0, -0.2041241452319315], [0.9588225099390856, 0.0], [0.0, 0.48721979661499676], [0.0, 0.19245008972987526], [-0.16018862050852037, 0.47364502093823097], [1.0344827586206897, 0.0], [-0.08284271247461901, 0.0], 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