Hello,
I think I need your help. My general Problem is, that I have 55 inequalities and 55 variables and I need to know the lattice points. In fact I know that there exist at least 2 of them. Its because my problem is a test problem.
As written in the documentation, I used the following code to produce my polytope:
$inequalities=new Matrix<Rational>([...]);
$p=new Polytope<Rational>(INEQUALITIES=>$inequalities);
The problem is, that polymake tells me, that the polytope has no Vertex. So that my polytope is empty. This can't be correct, because i know points, that verify the inequalities.
I hope you can help me.
Torsten
PS:
I got this error message:
print $p->LATTICE_POINTS;
polymake: WARNING: rule VERTICES_IN_INEQUALITIES : INEQUALITIES, VERTICES failed: attempt to use a property VERTICES with undefined value
polymake: WARNING: rule N_VERTICES : VERTICES failed: attempt to use a property VERTICES with undefined value
polymake: WARNING: rule BOUNDED : VERTICES | POINTS failed: attempt to use a property VERTICES with undefined value
polymake: WARNING: rule DIM : VERTICES | POINTS failed: attempt to use a property VERTICES with undefined value
polymake: WARNING: rule FAR_FACE : VERTICES failed: attempt to use a property VERTICES with undefined value
polymake: WARNING: rule AFFINE_HULL : VERTICES | POINTS failed: attempt to use a property VERTICES with undefined value
polymake: WARNING: rule lrs.convex_hull.count: N_VERTICES, N_BOUNDED_VERTICES, POINTED, FEASIBLE, LINEALITY_DIM : FACETS | INEQUALITIES failed: killed by signal
polymake: ERROR: no more rules available to compute 'LATTICE_POINTS'
The system is Ubuntu 11.04.
Welcome to polymake version 2.9.9, released on November 05, 2010
Copyright (c) 1997-2010
Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
http://www.polymake.de
Application polytope currently uses following third-party software packages:
cddlib, jreality, lrslib, nauty