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

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

embedding dimension = 3
affine dimension of the polyhedron = 0
rank of recession monoid = 0

dehomogenization:
0 0 1 


module rank = 1

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

1 module generators:
 0 1 1

0 Hilbert basis elements of recession monoid:

1 vertices of polyhedron:
 0 1 1

0 extreme rays of recession cone:

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

2 equations:
 1 0  0
 0 1 -1

1 basis elements of lattice:
 0 1 1