# Coefficient data for embedded newform 1638.2.j.n.1171.2, downloaded from the LMFDB on 19 April 2024. {"label": "1638.2.j.n.1171.2", "an_normalized": [[1.0, 0.0], [0.3535533905932738, -0.6123724356957945], [0.0, 0.0], [-0.25, -0.4330127018922193], [0.31622776601683794, -0.5477225575051661], [0.0, 0.0], [-0.6128014892326595, -0.7902368852402643], [-0.3535533905932738, 0.0], [0.0, 0.0], [-0.22360679774997896, -0.3872983346207417], [-0.36395638864449226, -0.630390956871545], [0.0, 0.0], [0.2773500981126146, 0.0], [-0.700577330470053, 0.0958718104108507], [0.0, 0.0], [-0.125, 0.21650635094610965], [-0.39322794290936003, -0.6810907760748054], [0.0, 0.0], [-0.34412360080584264, 0.5960395606792697], [-0.31622776601683794, 0.0], [0.0, 0.0], [-0.5147120609333741, 0.0], [0.5286953667174109, -0.9157272368808153], [0.0, 0.0], [0.3, 0.5196152422706631], [0.09805806756909202, -0.16984155512168936], [0.0, 0.0], [-0.18898223650461363, 0.4629100498862757], [-0.9284766908852593, 0.0], [0.0, 0.0], 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