# Coefficient data for embedded newform 690.3.k.b.553.20, downloaded from the LMFDB on 24 April 2024. {"label": "690.3.k.b.553.20", "an_normalized": [[1.0, 0.0], [-0.5, 0.5], [0.408248290463863, 0.408248290463863], [0.0, -0.5], [-0.9659329072952438, 0.2587926169815472], [-0.408248290463863, 0.0], [0.8354320883540274, -0.8354320883540274], [0.25, 0.25], [0.0, 0.3333333333333333], [0.3535701451568483, -0.6123627621383956], [-0.16031333605078843, 0.0], [0.2041241452319315, -0.2041241452319315], [0.3846639031964541, 0.3846639031964541], [0.0, 0.8354320883540274], [-0.4999921015734583, -0.28868881463868645], [-0.25, 0.0], [-0.5005840506415961, 0.5005840506415961], [-0.16666666666666666, -0.16666666666666666], [0.0, -1.1787851468051544], [0.1293963084907736, 0.4829664536476219], [0.6821274437383732, 0.0], [0.08015666802539421, -0.08015666802539421], [0.14744195615489714, 0.14744195615489714], [0.0, 0.2041241452319315], [0.8660527627916844, -0.4999526098150608], [-0.3846639031964541, 0.0], 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