# Coefficient data for embedded newform 1638.2.r.a.757.1, downloaded from the LMFDB on 29 March 2024. {"label": "1638.2.r.a.757.1", "an_normalized": [[1.0, 0.0], [-0.3535533905932738, -0.6123724356957945], [0.0, 0.0], [-0.25, 0.4330127018922193], [-1.7888543819998317, 0.0], [0.0, 0.0], [-0.18898223650461363, 0.3273268353539886], [0.3535533905932738, 0.0], [0.0, 0.0], [0.6324555320336759, 1.0954451150103321], [-0.45226701686664544, -0.7833494518006403], [0.0, 0.0], [-0.6933752452815364, -0.7205766921228921], [0.2672612419124244, 0.0], [0.0, 0.0], [-0.125, -0.21650635094610965], [-0.6063390625908325, 1.0502100630210074], [0.0, 0.0], [-0.34412360080584264, 0.5960395606792697], [0.4472135954999579, -0.7745966692414834], [0.0, 0.0], [-0.31980107453341566, 0.5539117094069973], [0.6255432421712243, 1.0834726777719228], [0.0, 0.0], [2.2, 0.0], [-0.19611613513818404, 0.6793662204867574], [0.0, 0.0], [-0.09449111825230681, -0.1636634176769943], [-0.8356290217967334, -1.447351922031023], [0.0, 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