# Coefficient data for embedded newform 690.3.g.a.461.13, downloaded from the LMFDB on 29 March 2024. {"label": "690.3.g.a.461.13", "an_normalized": [[1.0, 0.0], [0.0, -0.7071067811865476], [-0.44766421254521716, -0.8942017405520248], [-0.5, 0.0], [0.0, -0.4472135954999579], [-0.6322961144931505, 0.31654640038525894], [-1.2149747609795514, 0.0], [0.0, 0.3535533905932738], [-0.5991935056125413, 0.8006042360815695], [-0.31622776601683794, 0.0], [0.0, -1.2015079355508047], [0.22383210627260858, 0.4471008702760124], [0.2770029702584641, 0.0], [0.0, 0.8591168924591455], [-0.39989917549459153, 0.20020152206900393], [0.25, 0.0], [0.0, 0.04567654751115502], [0.5661126843799534, 0.42369379106156757], [-1.935776782007393, 0.0], [0.0, 0.22360679774997896], [0.5439007196362242, 1.086432545994695], [-0.8495944088774233, 0.0], [0.0, 0.20851441405707477], [0.31614805724657524, -0.15827320019262947], [-0.2, 0.0], [0.0, -0.1958706786785755], [0.9841391902497101, 0.17739801074038292], 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