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D.13.4.37 latticeCodegree

Procedure from library polymake.lib (see polymake_lib).

Usage:
latticeCodegree(p); p polytope

Return:
int, the smallest number n such that n*p has a relative interior lattice point

Note:
dimension(p)+1==latticeDegree(p)+latticeCodegree(p)

Example:
 
LIB "polymake.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
intmat M[4][3]=
1,1,0,
1,1,1,
1,0,1,
1,0,0;
polytope p = polytopeViaPoints(M);
latticeCodegree(p);
==> polymake: used package ppl
==>   The Parma Polyhedra Library (PPL): A C++ library for convex polyhedra
==>   and other numerical abstractions.
==>   http://www.cs.unipr.it/ppl/
==> 
==> 2
intmat N[4][4]=
1,1,0,0,
1,0,1,0,
1,0,0,1,
1,0,0,0;
polytope q = polytopeViaPoints(N);
latticeCodegree(q);
==> 4