# Coefficient data for embedded newform 538.3.c.a.351.1, downloaded from the LMFDB on 22 December 2025. {"label": "538.3.c.a.351.1", "an_normalized": [[1.0, 0.0], [0.5, -0.5], [-1.2999127080477046, 1.2999127080477046], [0.0, -0.5], [-1.305358017052676, 0.0], [0.0, 1.2999127080477046], [-0.12932457160268596, -0.12932457160268596], [-0.25, -0.25], [0.0, -2.379546097087834], [-0.652679008526338, 0.652679008526338], [0.0, -1.4048705424284396], [0.6499563540238523, 0.6499563540238523], [0.0, 0.9714614297226966], [-0.12932457160268596, 0.0], [1.696851474918726, -1.696851474918726], [-0.25, 0.0], [-0.36882208286341356, 0.36882208286341356], [-1.189773048543917, -1.189773048543917], [0.36694440486290664, 0.36694440486290664], [0.0, 0.652679008526338], [0.3362213081783136, 0.0], [-0.7024352712142198, -0.7024352712142198], [-0.7101848491752307, 0.0], [0.6499563540238523, 0.0], [0.7039595526836945, 0.0], [0.4857307148613483, 0.4857307148613483], [1.7932895029420886, 1.7932895029420886], 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