# Coefficient data for embedded newform 312.4.m.a.181.51, downloaded from the LMFDB on 14 January 2025. {"label": "312.4.m.a.181.51", "an_normalized": [[1.0, 0.0], [0.2830813745570985, -0.9590958947774011], [0.0, -0.5773502691896257], [-0.8397298707577274, -0.543004368451314], [-1.0846880183510987, 0.0], [-0.5537342730283975, -0.16343710780311008], [0.0, 1.142092595336367], [-0.7585051466986027, 0.651667048753987], [-0.3333333333333333, 0.0], [-0.3070549752004443, 1.0403198255147732], [-0.4387505947286465, 0.0], [-0.31350371829650886, 0.4848182669285436], [0.7851392397942869, -0.6193192828705152], [1.095376319642777, 0.32330514175930275], [0.0, 0.6262449193817685], [0.4102925116855793, 0.9119539762810066], [0.6534840856022078, 0.0], [-0.09436045818569949, 0.31969863159246703], [1.4128015177281097, 0.0], [0.9108449294624236, 0.5889903323714456], [0.6593874673569298, 0.0], [-0.1242021214435297, 0.4208038942353881], [-0.8829875984869043, 0.0], [0.37624014602012334, 0.43792315062815484], 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