# Coefficient data for embedded newform 15.3.f.a.13.1, downloaded from the LMFDB on 19 March 2026. {"label": "15.3.f.a.13.1", "an_normalized": [[1.0, 0.0], [-1.1123724356957945, 1.1123724356957945], [0.408248290463863, 0.408248290463863], [0.0, -1.474744871391589], [0.5348469228349534, -0.8449489742783178], [-0.908248290463863, 0.0], [-0.20706996325473973, 0.20706996325473973], [0.5280931089239487, 0.5280931089239487], [0.0, 0.3333333333333333], [0.34494897427831783, 1.5348469228349535], [-0.3044062934863213, 0.0], [0.6020620726159658, -0.6020620726159658], [-0.8038069032910137, -0.8038069032910137], [0.0, -0.460677838770227], [0.5632993161855452, -0.12659863237109042], [0.2998724356957945, 0.0], [-0.15597239833238033, 0.15597239833238033], [-0.3707908118985982, -0.3707908118985982], [0.0, 1.0893125503525825], [-1.2460841664045328, -0.7887627564304206], [-0.16907191701032484, 0.0], [0.3386131701265081, -0.3386131701265081], [0.7151952062079643, 0.7151952062079643], [0.0, 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