# Coefficient data for embedded newform 690.3.f.a.229.19, downloaded from the LMFDB on 19 April 2024. {"label": "690.3.f.a.229.19", "an_normalized": [[1.0, 0.0], [0.0, 0.7071067811865476], [0.0, -0.5773502691896257], [-0.5, 0.0], [-0.23157893678147778, -0.9728161162517612], [0.408248290463863, 0.0], [0.2562038937657865, 0.0], [0.0, -0.3535533905932738], [-0.3333333333333333, 0.0], [0.6878848726491812, -0.16375103657815374], [0.0, 0.03474396658301073], [0.0, 0.28867513459481287], [0.0, -1.849756170940086], [0.0, 0.18116351064818548], [-0.5616556465899607, 0.13370216148943354], [0.25, 0.0], [-1.303558279572479, 0.0], [0.0, -0.23570226039551584], [0.0, 0.9265727257027223], [0.11578946839073889, 0.4864080581258806], [0.0, -0.14791938703310714], [-0.02456769437616569, 0.0], [0.0655591268386893, 0.9978486863689047], [-0.2041241452319315, 0.0], [-0.8927423920783206, 0.45056744377093877], [1.3079751320133974, 0.0], [0.0, 0.19245008972987526], [-0.12810194688289325, 0.0], [-0.06196464072759565, 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