# Coefficient data for embedded newform 1682.2.a.d.1.1, downloaded from the LMFDB on 22 March 2023. {"label": "1682.2.a.d.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.5773502691896257, 0.0], [0.5, 0.0], [0.4472135954999579, 0.0], [-0.408248290463863, 0.0], [-0.7559289460184545, 0.0], [-0.3535533905932738, 0.0], [-0.6666666666666666, 0.0], [-0.31622776601683794, 0.0], [0.9045340337332909, 0.0], [0.28867513459481287, 0.0], [-0.2773500981126146, 0.0], [0.5345224838248488, 0.0], [0.25819888974716115, 0.0], [0.25, 0.0], [-1.9402850002906638, 0.0], [0.4714045207910317, 0.0], [0.0, 0.0], [0.22360679774997896, 0.0], [-0.4364357804719848, 0.0], [-0.6396021490668313, 0.0], [0.8340576562282991, 0.0], [-0.2041241452319315, 0.0], [-0.8, 0.0], [0.19611613513818404, 0.0], [-0.9622504486493763, 0.0], [-0.37796447300922725, 0.0], [0.0, 0.0], [-0.18257418583505536, 0.0], [0.5388159060803247, 0.0], [-0.1767766952966369, 0.0], [0.5222329678670935, 0.0], [1.3719886811400708, 0.0], 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