gfan.sm1 is a package to compute global and local Grobner fans.
See R.Bahloul and N.Takayama, arxiv, math.AG/0412044 and references as to algorithms.
At the beginning of the source code gfan.sm1, there are sample inputs cone.sample and cone.sample2.
gfan.sm1 works only with polymake 2.0. We provide a web service of computing
with polymake 2.0. /@@@polymake.web 1 def is set by default in gfan.sm1.
See changelog-ja.tex as to details on the difference between 2.0 and later versions.
cone.Wt cone.Lpt {vertices in the output} are weights on the rays of the Grobner cone.
cone.L gives a basis of the linearity space.