# Coefficient data for embedded newform 405.4.e.l.271.1, downloaded from the LMFDB on 11 December 2023. {"label": "405.4.e.l.271.1", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 1.224744871391589], [0.0, 0.0], [-0.5, 0.8660254037844386], [0.22360679774997896, -0.3872983346207417], [0.0, 0.0], [-0.16198477414681167, -0.28056585887484736], [0.0, 0.0], [0.0, 0.0], [0.6324555320336759, 0.0], [-0.4385619557494744, -0.7596115896248633], [0.0, 0.0], [0.40535783570305206, -0.7021003666838436], [0.22908106449636376, -0.3967800427596649], [0.0, 0.0], [0.5, 0.8660254037844386], [0.3709368382908622, 0.0], [0.0, 0.0], [1.2074512308976935, 0.0], [0.22360679774997896, 0.3872983346207417], [0.0, 0.0], [0.6202202657617758, -1.0742530121832674], [0.3535679194880833, -0.6123976004797824], [0.0, 0.0], [-0.1, -0.17320508075688773], [1.146525097730922, 0.0], [0.0, 0.0], [0.32396954829362334, 0.0], [0.1600821880836654, 0.2772704831477056], [0.0, 0.0], [0.3128608486918014, -0.541890885633319], 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