...antsol¹

http://langur.ncra.tifr.res.in/~sanjay/Offline/offline

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...rantsol²

http://langur.ncra.tifr.res.in/~sanjay/Offline/ offline

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... zero³

Complex derivatives can be evaluated by treating $g_i$ and $g_i^\star$ as independent variables. See reference 1 and the appendix

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