# Coefficient data for embedded newform 414.2.i.b.397.1, downloaded from the LMFDB on 08 November 2025. {"label": "414.2.i.b.397.1", "an_normalized": [[1.0, 0.0], [0.2937427727003317, -0.64320695229943], [0.0, 0.0], [-0.32743036697264255, -0.37787478717712913], [-1.0887409089413471, 0.6996912964233831], [0.0, 0.0], [0.14903383142613796, -1.036553065731524], [-0.33923199407182814, 0.09960750071179969], [0.0, 0.0], [0.1302365329782107, 0.9058149833295694], [-0.6826594373495871, -1.494815658337986], [0.0, 0.0], [-0.014432336202672685, -0.10037910314318557], [-0.6229405274365367, -0.4003395680801203], [0.0, 0.0], [-0.035578709568321286, 0.24745536047023317], [-1.0002290726591014, 1.1543258844742845], [0.0, 0.0], [-0.9217956353032646, -1.063808872498777], [0.6208825350784691, 0.18230756130177336], [0.0, 0.0], [-1.162002099786158, 0.0], [0.20132089523772576, -0.9795253427761227], [0.0, 0.0], [0.2803738435099098, -0.6139330807381691], [-0.06880393145999497, -0.020202657094970083], [0.0, 0.0], 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