This is a beta version of a web interface to PHCpack, developed by Xiangcheng Yu.
Its current version exports the blackbox solver (phc -b) and tracking paths defined by a homotopy in one parameter (phc -p).
The blackbox solver computes the mixed volume of the Newton polytopes of the system, via an integrated version of Algorithm 846: MixedVol: A software package for mixed volume computation, by T. Gao, T.Y. Li, and M. Wu, published in ACM Trans. Math. Softw. 31(4):555-560, 2005.
The web interface logo results from running HomLab in Matlab: The Numerical Solution of Systems of Polynomials Arising in Engineering and Science, by Andrew J. Sommese and Charles W. Wampler, II, World Scientific, 2005.