# Coefficient data for embedded newform 1638.4.a.h.1.1, downloaded from the LMFDB on 13 December 2025. {"label": "1638.4.a.h.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [1.2521980673998823, 0.0], [0.0, 0.0], [-0.37796447300922725, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [-0.8854377448471462, 0.0], [-0.2192809778747372, 0.0], [0.0, 0.0], [0.2773500981126146, 0.0], [0.2672612419124244, 0.0], [0.0, 0.0], [0.25, 0.0], [1.398146544327096, 0.0], [0.0, 0.0], [-0.3380863446513542, 0.0], [0.6260990336999411, 0.0], [0.0, 0.0], [0.15505506644044395, 0.0], [0.4714238926507777, 0.0], [0.0, 0.0], [0.568, 0.0], [-0.19611613513818404, 0.0], [0.0, 0.0], [-0.18898223650461363, 0.0], [0.012806575046693231, 0.0], [0.0, 0.0], [-0.9733448625967156, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [-0.9886389025862274, 0.0], [-0.4732863826479693, 0.0], [0.0, 0.0], [-0.6487095174751937, 0.0], [0.2390631469295448, 0.0], [0.0, 0.0], [-0.4427188724235731, 0.0], 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