# Coefficient data for embedded newform 416.2.u.a.47.1, downloaded from the LMFDB on 07 December 2024. {"label": "416.2.u.a.47.1", "an_normalized": [[1.0, 0.0], [0.0, 0.0], [0.5773502691896257, 0.0], [0.0, 0.0], [-1.140175425099138, 1.140175425099138], [0.0, 0.0], [-0.9636241116594315, -0.9636241116594315], [0.0, 0.0], [-0.6666666666666666, 0.0], [0.0, 0.0], [-0.30151134457776363, 0.30151134457776363], [0.0, 0.0], [-0.7071067811865476, 0.7071067811865476], [0.0, 0.0], [-0.6582805886043833, 0.6582805886043833], [0.0, 0.0], [0.0, 0.7276068751089989], [0.0, 0.0], [-0.45883146774112354, -0.45883146774112354], [0.0, 0.0], [-0.5563486402641868, -0.5563486402641868], [0.0, 0.0], [1.06321906614239, 0.0], [0.0, 0.0], [0.0, -1.6], [0.0, 0.0], [-0.9622504486493763, 0.0], [0.0, 0.0], [0.0, -0.9468641529479986], [0.0, 0.0], [-0.915810939779251, 0.915810939779251], [0.0, 0.0], [-0.17407765595569785, 0.17407765595569785], [0.0, 0.0], [2.197401062294143, 0.0], [0.0, 0.0], [0.4191368221424547, 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