\begin{thebibliography}{1} \bibitem{avis} David Avis and Komei Fukuda. \newblock A basis enumeration algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. \newblock {\em Discrete Computational Geometry}, 8:295--313, 1992. \bibitem{collart} St{\'e}phane Collart, Michael Kalkbrener, and Daniel Mall. \newblock Converting bases with the {G}r{\"o}bner walk. \newblock {\em J. Symb. Comput.}, 24(3/4):465--469, 1997. \bibitem{cdd} Komei Fukuda. \newblock {\em cddlib reference manual, cddlib Version 093b}. \newblock Swiss Federal Institute of Technology, Lausanne and Z{\"u}rich, Switzerland, 2003. \newblock \htmladdnormallink{http://www.ifor.math.ethz.ch/\~{}fukuda/cdd\_home/cdd.htm% l} {http://www.ifor.math.ethz.ch/\~{}fukuda/cdd\_home/cdd.html}. \bibitem{fukuda} Komei Fukuda, Anders Jensen, and Rekha Thomas. \newblock Computing {G}r{\"o}bner fans. \newblock In preparation. \bibitem{gmp} Torbj{\"o}rn {Granlund et al.} \newblock {GNU} multiple precision arithmetic library 4.1.2, December 2002. \newblock \url{http://swox.com/gmp/}. \bibitem{huber} Birkett Huber and Rekha~R. Thomas. \newblock Computing {G}r{\"o}bner fans of toric ideals. \newblock {\em Experimental Mathematics}, 9(3/4):321--331, 2000. \bibitem{cats} Anders Jensen. \newblock {CaTS}, a software system for toric state polytopes. \newblock Available at {http://www.soopadoopa.dk/anders/cats/cats.html}. \bibitem{jensen} Anders Jensen. \newblock A non-regular {G}r{\"o}bner fan. \newblock 2005. \newblock math.CO/0501352. \bibitem{MoRo} Teo Mora and Lorenzo Robbiano. \newblock The {G}r{\"o}bner fan of an ideal. \newblock {\em J. Symb. Comput.}, 6(2/3):183--208, 1988. \end{thebibliography}