Acknowledgments

LattE currently uses two wonderful pieces of software. First is cdd, developed by Komei Fukuda, whose webpage can be found at:

http://www.cs.mcgill.ca/$\sim$ fukuda/

cdd is used for finding vertices of polytopes and the triangulation of cones.

In addition, LattE currently uses NTL, a Library for doing Number Theory, written by Victor Shoup [7], for LLL algorithm, matrix manipulations, storing variable length integers, and floating point numbers. NTL can be found at:

http://shoup.net/ntl/

We are truly grateful to Alexander Barvinok, Komei Fukuda, Dmitrii Pasechnik, Bernd Sturmfels, and M. Vergne for several suggestions and useful conversations that improved our software. We thank the National Science Foundation for support to this project via grants NSF DMS-0309694, NSF DMS-0073815, and by NSF VIGRE grant DMS-0135345.