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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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3 module generators
0 Hilbert basis elements of recession monoid
3 vertices of polyhedron
0 extreme rays of recession cone
3 support hyperplanes of polyhedron (homogenized)

embedding dimension = 3
affine dimension of the polyhedron = 2 (maximal)
rank of recession monoid = 0

dehomogenization:
0 0 1 

grading:
1 1 0 


module rank = 3
multiplicity = 3

***********************************************************************

3 module generators:
 1 1 1
 1 2 1
 2 1 1

0 Hilbert basis elements of recession monoid:

3 vertices of polyhedron:
 1 1 1
 1 2 1
 2 1 1

0 extreme rays of recession cone:

3 support hyperplanes of polyhedron (homogenized):
 -1 -1  3
  0  1 -1
  1  0 -1