# Coefficient data for embedded newform 690.2.a.i.1.1, downloaded from the LMFDB on 20 April 2024. {"label": "690.2.a.i.1.1", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 0.0], [0.5773502691896257, 0.0], [0.5, 0.0], [-0.4472135954999579, 0.0], [0.408248290463863, 0.0], [0.0, 0.0], [0.3535533905932738, 0.0], [0.3333333333333333, 0.0], [-0.31622776601683794, 0.0], [0.6030226891555273, 0.0], [0.28867513459481287, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.25819888974716115, 0.0], [0.25, 0.0], [1.4552137502179978, 0.0], [0.23570226039551584, 0.0], [0.9176629354822471, 0.0], [-0.22360679774997896, 0.0], [0.0, 0.0], [0.4264014327112209, 0.0], [0.20851441405707477, 0.0], [0.2041241452319315, 0.0], [0.2, 0.0], [0.0, 0.0], [0.19245008972987526, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.18257418583505536, 0.0], [-1.4368424162141993, 0.0], [0.1767766952966369, 0.0], [0.3481553119113957, 0.0], [1.028991510855053, 0.0], [0.0, 0.0], [0.16666666666666666, 0.0], [-0.9863939238321437, 0.0], [0.6488856845230502, 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