# Coefficient data for embedded newform 630.2.bi.b.509.3, downloaded from the LMFDB on 20 September 2025. {"label": "630.2.bi.b.509.3", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 0.0], [-0.8981251611623009, -0.43973991732294554], [0.5, 0.0], [-0.6935803617608667, 0.7203792624580925], [-0.6350703918121239, -0.3109430774974666], [-0.15320924005746406, -0.9881937708572213], [0.3535533905932738, 0.0], [0.613257610225618, 0.7898829682303348], [-0.4904353770989276, 0.509385061510281], [0.27802391645832064, 0.16051718300836545], [-0.44906258058115045, -0.21986995866147277], [0.7871956295866378, -1.3634628259402268], [-0.10833529258507048, -0.6987585164994464], [0.9397014914999714, -0.3419957702556116], [0.25, 0.0], [0.28854197116734437, -0.1665897847259715], [0.43363861480479116, 0.558531603179428], [-1.3481334567369319, -0.7783452141506083], [-0.34679018088043334, 0.36018963122904624], [-0.29694717367764073, 0.9548939082667043], [0.1965925966597207, 0.11350278860217727], 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