Sage has already an interface to PHCpack for homotopy continuation. However that one is written in Ada and doesn't support arbitrary precision floats, so something that is easier to distribute and more general would be good. Its nice that the authors of Bertini finally released the source. I looked at it and it seems of sufficient quality. It probably would be easy enough to turn it into a shared library. It would be interesting to know if the authors would consider a more standard license.
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