Matthias Köppe's Mathematical Software and Data

• A program to compute the Primitive Partition Identities (1998--1999, 2002); now part of 4ti2.

• A table of the Primitive Partition Identities up to a largest part of 27 (1999)

• Tables of the irreducible solutions to cyclic group equations (with M. Jach and R. Weismantel, 2004)

• CPLEX-glue, an interface that makes the ILOG CPLEX Callable Library accessible from Guile (a Scheme implementation) and Allegro Common Lisp (with U.-U. Haus, 2001-)

• CDD-glue, an interface that makes Komei Fukuda's cddlib available from the Scheme implementation Guile (2004-2005)

• GYWOPT, an interactive system for exploring primal reformulations of integer linear programs, containing an implementation of the Integral Basis Method (with U.-U. Haus, 2000-2005)

• LattE macchiato, an improved version of LattE, containing new irrational primal decomposition algorithms for counting lattice points in polytopes, and more (2006-2010); superseded by LattE integrale.

• 4ti2, a software package for algebraic, geometric and combinatorial problems on linear spaces (with R. Hemmecke, R. Hemmecke, P. Malkin, M. Walter, 2008-)

• Tables of matroids and the Ehrhart polynomials and h^*-vectors of their base polytopes (with J. De Loera and D. Haws, 2008)

• Maple programs for integrating polynomials over simplices (with V. Baldoni, N. Berline, J. De Loera, and M. Vergne, 2008-2009); superseded by LattE integrale.

• LattE integrale, an improved version of LattE macchiato, which adds integration and volume computation methods, and computes the highest coefficients of weighted Ehrhart quasi-polynomials (with V. Baldoni, N. Berline, J. De Loera, B. Dutra, M. Vergne and several contributing students, 2006-)

• 
  Sage program for computation and experimentation with the 1-row Gomory–Johnson infinite group problem (with C. Y. Hong and Y. Zhou, 2014-)