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

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

embedding dimension = 4
affine dimension of the polyhedron = 1
rank of recession monoid = 0

dehomogenization:
0 0 0 1 


module rank = 0

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

0 module generators:

0 Hilbert basis elements of recession monoid:

2 vertices of polyhedron:
 1 0 4 2
 3 2 0 2

0 extreme rays of recession cone:

2 support hyperplanes of polyhedron (homogenized):
 0  1 0 0
 2 -3 0 0

2 equations:
 2 0 1 -3
 0 2 1 -2

2 basis elements of lattice:
 1 0  4  2
 0 1 -6 -2