groebner_fan module of Sage. Sage provides much of the functionality of gfan, which is a software package whose main function is to enumerate all reduced Groebner bases of a polynomial ideal. The reduced Groebner bases yield the maximal cones in the Groebner fan of the ideal. Several subcomputations can be issued and additional tools are included. Among these the highlights are: Commands for computing tropical varieties. Interactive walks in the Groebner fan of an ideal. Commands for graphical renderings of Groebner fans and monomial ideals.

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  1. Bliss, Nathan; Verschelde, Jan: The method of Gauss-Newton to compute power series solutions of polynomial homotopies (2018)