# Coefficient data for embedded newform 637.2.h.a.165.1, downloaded from the LMFDB on 18 September 2025. {"label": "637.2.h.a.165.1", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 0.0], [-0.8660254037844386, -1.5], [-0.5, 0.0], [0.6708203932499369, 1.161895003862225], [-0.6123724356957945, -1.0606601717798212], [0.0, 0.0], [-1.0606601717798212, 0.0], [-1.0, 1.7320508075688772], [0.4743416490252569, 0.8215838362577492], [0.45226701686664544, 0.7833494518006403], [0.4330127018922193, 0.75], [0.2773500981126146, 0.9607689228305228], [0.0, 0.0], [1.161895003862225, -2.0124611797498106], [-0.25, 0.0], [0.48507125007266594, 0.0], [-0.7071067811865476, 1.224744871391589], [-0.11470786693528089, 0.19867985355975656], [-0.33541019662496846, -0.5809475019311126], [0.0, 0.0], [0.31980107453341566, 0.5539117094069973], [0.0, 0.0], [0.9185586535436918, 1.590990257669732], [-0.4, 0.6928203230275509], [0.19611613513818404, 0.6793662204867574], [1.7320508075688772, 0.0], [0.0, 0.0], 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