# Coefficient data for embedded newform 684.3.s.a.445.8, downloaded from the LMFDB on 23 April 2024. {"label": "684.3.s.a.445.8", "an_normalized": [[1.0, 0.0], [0.0, 0.0], [-0.8538972008994304, -0.5204417069145378], [0.0, 0.0], [-0.377174395402189, -0.6532852161506645], [0.0, 0.0], [-0.07164499727816047, -0.12409277539390785], [0.0, 0.0], [0.45828085940776453, 0.8888074335312913], [0.0, 0.0], [0.36330391915478055, 0.6292608465649758], [0.0, 0.0], [0.0, -0.15621318543251228], [0.0, 0.0], [-0.017928712510620465, 0.7541357036076058], [0.0, 0.0], [-0.580662004507399, 1.0057360938316036], [0.0, 0.0], [0.7136536167799782, 0.7004987617811013], [0.0, 0.0], [-0.0034055932074992332, 0.14324951823603288], [0.0, 0.0], [0.4395288712639678, 0.0], [0.0, 0.0], [0.21547895090598643, -0.3732204909308082], [0.0, 0.0], [0.07124771475127938, -0.9974586523474145], [0.0, 0.0], [0.30624264988317385, 0.17680927634739474], [0.0, 0.0], [-1.1101671201861256, -0.6409552856849312], [0.0, 0.0], 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