# Coefficient data for embedded newform 1638.2.a.r.1.1, downloaded from the LMFDB on 06 October 2024. {"label": "1638.2.a.r.1.1", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [0.4472135954999579, 0.0], [0.0, 0.0], [-0.37796447300922725, 0.0], [0.3535533905932738, 0.0], [0.0, 0.0], [0.31622776601683794, 0.0], [0.30151134457776363, 0.0], [0.0, 0.0], [0.2773500981126146, 0.0], [-0.2672612419124244, 0.0], [0.0, 0.0], [0.25, 0.0], [0.24253562503633297, 0.0], [0.0, 0.0], [1.6059101370939324, 0.0], [0.22360679774997896, 0.0], [0.0, 0.0], [0.21320071635561044, 0.0], [-0.6255432421712243, 0.0], [0.0, 0.0], [-0.8, 0.0], [0.19611613513818404, 0.0], [0.0, 0.0], [-0.18898223650461363, 0.0], [0.5570860145311556, 0.0], [0.0, 0.0], [1.4368424162141993, 0.0], [0.1767766952966369, 0.0], [0.0, 0.0], [0.17149858514250885, 0.0], [-0.1690308509457033, 0.0], [0.0, 0.0], [1.150792911137501, 0.0], [1.1355499479153377, 0.0], [0.0, 0.0], [0.15811388300841897, 0.0], 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