# Coefficient data for embedded newform 820.2.bg.b.681.8, downloaded from the LMFDB on 27 September 2025. {"label": "820.2.bg.b.681.8", "an_normalized": [[1.0, 0.0], [0.0, 0.0], [0.0, 1.9820315329431188], [0.0, 0.0], [-0.36180339887498947, -0.2628655560595668], [0.0, 0.0], [-1.2498915184865913, 0.4061143725107492], [0.0, 0.0], [-2.9284489975808494, 0.0], [0.0, 0.0], [0.9520011270474747, 1.310317139536325], [0.0, 0.0], [0.07114901288405201, 0.02311771565355732], [0.0, 0.0], [0.5210078210346886, -0.7171057452962261], [0.0, 0.0], [-1.0082855347598145, -1.3877859807160178], [0.0, 0.0], [0.9988664404746825, -0.32455138041627823], [0.0, 0.0], [-0.8049314922977131, -2.477324402398581], [0.0, 0.0], [-0.12726681232378342, 0.3916869731176809], [0.0, 0.0], [0.061803398874989486, 0.1902113032590307], [0.0, 0.0], [0.0, -3.822246722877792], [0.0, 0.0], [0.4128029169369824, -0.5681744715898261], [0.0, 0.0], [-1.3207191191826437, 0.9595586076359716], [0.0, 0.0], [-2.5970898887168246, 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