This method implements homotopy continuation: it follows a given list S of start solutions along a Homotopy H.
Option Field is unique to this method (the default is CC, but one can imagine using RR). It specifies which InexactFieldFamily to use when adaptive precision is requested via Precision=>infinity. The rest are a subset of numerical homotopy tracking options.
Note for developers: the old implementation track eventually will be replaced by a call to trackHomotopy. Alternative ways for calling (H could be a Sequence (a preSLP), Matrix, etc.) are deprecated and are for debugging purposes only.