# Coefficient data for embedded newform 414.2.a.e.1.1, downloaded from the LMFDB on 24 April 2025. {"label": "414.2.a.e.1.1", "an_normalized": [[1.0, 0.0], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [-1.630429552119881, 0.0], [0.0, 0.0], [0.7559289460184545, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [1.1528877925509136, 0.0], [1.0992353797952292, 0.0], [0.0, 0.0], [-1.4675987714106855, 0.0], [-0.5345224838248488, 0.0], [0.0, 0.0], [0.25, 0.0], [1.7684491459121618, 0.0], [0.0, 0.0], [1.2952241802785693, 0.0], [-0.8152147760599405, 0.0], [0.0, 0.0], [-0.7772767911733767, 0.0], [0.20851441405707477, 0.0], [0.0, 0.0], [1.6583005244258362, 0.0], [1.0377490433255416, 0.0], [0.0, 0.0], [0.37796447300922725, 0.0], [-0.23982601617282753, 0.0], [0.0, 0.0], [1.6688031347300825, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [-1.2504823832580478, 0.0], [-1.2324888928913225, 0.0], [0.0, 0.0], [-1.4692754959078773, 0.0], [-0.9158618010317637, 0.0], [0.0, 0.0], [0.5764438962754568, 0.0], 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