# Coefficient data for embedded newform 690.3.f.a.229.5, downloaded from the LMFDB on 24 April 2024. {"label": "690.3.f.a.229.5", "an_normalized": [[1.0, 0.0], [0.0, -0.7071067811865476], [0.0, -0.5773502691896257], [-0.5, 0.0], [-0.6218423028717986, -0.7831424840724057], [-0.408248290463863, 0.0], [0.44201450085103977, 0.0], [0.0, 0.3535533905932738], [-0.3333333333333333, 0.0], [-0.5537653611228759, 0.4397089091893078], [0.0, -1.4494862082866098], [0.0, 0.28867513459481287], [0.0, -1.913319806215297], [0.0, -0.31255145093455716], [-0.45214752399303565, 0.35902082095652976], [0.25, 0.0], [0.7469404352455863, 0.0], [0.0, 0.23570226039551584], [0.0, 0.5519686956053287], [0.3109211514358993, 0.39157124203620286], [0.0, -0.25519719105206584], [-1.0249415271158384, 0.0], [0.9992227964049317, -0.03941830976473218], [0.2041241452319315, 0.0], [-0.22662430071819645, 0.9739822515446513], [-1.3529214095533675, 0.0], [0.0, 0.19245008972987526], [-0.22100725042551989, 0.0], [-1.5441688916460847, 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