# Coefficient data for embedded newform 684.3.b.a.683.3, downloaded from the LMFDB on 24 April 2024. {"label": "684.3.b.a.683.3", "an_normalized": [[1.0, 0.0], [-0.9910122071728004, 0.1337714664436874], [0.0, 0.0], [0.9642103895310108, -0.26513831243420166], [0.0, -0.9139068193440013], [0.0, 0.0], [0.0, -1.3815679688865414], [-0.920076325443345, 0.3917391419792921], [0.0, 0.0], [0.12225465541653315, 0.9056928141883726], [0.20537791500173175, 0.0], [0.0, 0.0], [0.0, -1.1096987278242298], [0.1848143731895793, 1.3691507222054942], [0.0, 0.0], [0.8594033505590873, -0.5112982310235529], [0.0, -0.1453834247571244], [0.0, 0.0], [0.4699594789272237, -0.8826879902697512], [-0.24231171180297734, -0.8811984502747267], [0.0, 0.0], [-0.20353202085041397, 0.027473704864928637], [-1.2619169705082047, 0.0], [0.0, 0.0], [0.16477432555653088, 0.0], [0.14844602613174154, 1.0997249855579387], [0.0, 0.0], [-0.3663065997837252, -1.3321221894436595], [0.3573564687164186, 0.0], [0.0, 0.0], 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