# Coefficient data for embedded newform 3822.2.a.bt.1.1, downloaded from the LMFDB on 19 April 2024. {"label": "3822.2.a.bt.1.1", "an_normalized": [[1.0, 0.0], [0.7071067811865476, 0.0], [0.5773502691896257, 0.0], [0.5, 0.0], [-1.2081753085776563, 0.0], [0.408248290463863, 0.0], [0.0, 0.0], [0.3535533905932738, 0.0], [0.3333333333333333, 0.0], [-0.8543089535574104, 0.0], [-0.21152893771901374, 0.0], [0.28867513459481287, 0.0], [-0.2773500981126146, 0.0], [0.0, 0.0], [-0.697540339635569, 0.0], [0.25, 0.0], [0.655225057037368, 0.0], [0.23570226039551584, 0.0], [0.16094938832111466, 0.0], [-0.6040876542888282, 0.0], [0.0, 0.0], [-0.14957354627830147, 0.0], [0.9803434703370942, 0.0], [0.2041241452319315, 0.0], [0.45968757625671514, 0.0], [-0.19611613513818404, 0.0], [0.19245008972987526, 0.0], [0.0, 0.0], [0.5016674912413591, 0.0], [-0.49323550430747837, 0.0], [0.0, 0.0], [0.1767766952966369, 0.0], [-0.12212628913346817, 0.0], [0.46331408103446525, 0.0], [0.0, 0.0], [0.16666666666666666, 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