# Coefficient data for embedded newform 690.3.g.a.461.3, downloaded from the LMFDB on 20 April 2024. {"label": "690.3.g.a.461.3", "an_normalized": [[1.0, 0.0], [0.0, -0.7071067811865476], [-0.9582775184643925, 0.2858394612465641], [-0.5, 0.0], [0.0, 0.4472135954999579], [0.20211902137815485, 0.6776045315647888], [0.7234526102132972, 0.0], [0.0, 0.3535533905932738], [0.8365916047885479, -0.5478270592051127], [0.31622776601683794, 0.0], [0.0, 1.710799356224453], [0.47913875923219623, -0.14291973062328206], [-0.24985555460826553, 0.0], [0.0, -0.5115582465489306], [-0.12783129319984685, -0.42855473451923826], [0.25, 0.0], [0.0, -1.1210512856723107], [-0.38737222848141944, -0.5915595968297184], [-0.4471030859605677, 0.0], [0.0, -0.22360679774997896], [-0.6932683720417858, 0.20679130434078943], [1.2097178260358907, 0.0], [0.0, -0.20851441405707477], [-0.10105951068907743, -0.3388022657823944], [-0.2, 0.0], [0.0, 0.1766745569806303], [-0.6450963355454344, 0.7641012484388783], 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