# Coefficient data for embedded newform 1638.4.a.g.1.1, downloaded from the LMFDB on 16 December 2025. {"label": "1638.4.a.g.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [1.0733126291998991, 0.0], [0.0, 0.0], [0.37796447300922725, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [-0.758946638440411, 0.0], [1.3705061117171073, 0.0], [0.0, 0.0], [-0.2773500981126146, 0.0], [-0.2672612419124244, 0.0], [0.0, 0.0], [0.25, 0.0], [0.8274744854180772, 0.0], [0.0, 0.0], [-0.4829804923590774, 0.0], [0.5366563145999496, 0.0], [0.0, 0.0], [-0.9690941652527747, 0.0], [0.5802140217240341, 0.0], [0.0, 0.0], [0.152, 0.0], [0.19611613513818404, 0.0], [0.0, 0.0], [0.18898223650461363, 0.0], [0.7043616275681277, 0.0], [0.0, 0.0], [0.7184212081070996, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [-0.5851128198979714, 0.0], [0.40567404226968795, 0.0], [0.0, 0.0], [-0.22216079365588823, 0.0], [0.34151878132792113, 0.0], [0.0, 0.0], [-0.3794733192202055, 0.0], 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