# Coefficient data for embedded newform 405.2.a.b.1.1, downloaded from the LMFDB on 25 April 2024. {"label": "405.2.a.b.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [-0.5, 0.0], [0.4472135954999579, 0.0], [0.0, 0.0], [-1.1338934190276817, 0.0], [1.0606601717798212, 0.0], [0.0, 0.0], [-0.31622776601683794, 0.0], [0.6030226891555273, 0.0], [0.0, 0.0], [-0.5547001962252291, 0.0], [0.8017837257372732, 0.0], [0.0, 0.0], [-0.25, 0.0], [-0.9701425001453319, 0.0], [0.0, 0.0], [-1.8353258709644942, 0.0], [-0.22360679774997896, 0.0], [0.0, 0.0], [-0.4264014327112209, 0.0], [-0.6255432421712243, 0.0], [0.0, 0.0], [0.2, 0.0], [0.3922322702763681, 0.0], [0.0, 0.0], [0.5669467095138409, 0.0], [0.18569533817705186, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.8838834764831844, 0.0], [0.0, 0.0], [0.6859943405700354, 0.0], [-0.50709255283711, 0.0], [0.0, 0.0], [-0.6575959492214292, 0.0], [1.2977713690461004, 0.0], [0.0, 0.0], [0.4743416490252569, 0.0], [-0.7808688094430303, 0.0], 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