# Coefficient data for embedded newform 820.2.u.a.461.5, downloaded from the LMFDB on 11 September 2025. {"label": "820.2.u.a.461.5", "an_normalized": [[1.0, 0.0], [0.0, 0.0], [1.4648080121821634, 0.0], [0.0, 0.0], [0.1381966011250105, 0.42532540417601994], [0.0, 0.0], [1.1055400389124066, -0.8032218546825649], [0.0, 0.0], [1.1456625125530606, 0.0], [0.0, 0.0], [0.20440751019117598, -0.6291016289903651], [0.0, 0.0], [-0.1201177313600186, -0.08727064020057673], [0.0, 0.0], [0.20243148858425797, 0.623020059821651], [0.0, 0.0], [0.13909076890839528, -0.4280773696424157], [0.0, 0.0], [-0.7908695420185696, 0.5746003563806136], [0.0, 0.0], [1.6194039067870738, -1.1765658082988384], [0.0, 0.0], [-0.08474680428022306, -0.0615721574221288], [0.0, 0.0], [-0.16180339887498948, 0.11755705045849463], [0.0, 0.0], [0.21336761546230817, 0.0], [0.0, 0.0], [-0.2325567644199592, -0.7157361253140522], [0.0, 0.0], [-0.5337405826067646, 1.6426846042111678], [0.0, 0.0], [0.2994177586782418, 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