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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 vertices of polyhedron
1 extreme rays of recession cone
2 support hyperplanes of polyhedron (homogenized)

embedding dimension = 3
affine dimension of the polyhedron = 2 (maximal)
rank of recession monoid = 2
internal index = 1
dimension of maximal subspace = 1

dehomogenization:
0 0 1 


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1 vertices of polyhedron:
 0 -2 3

1 extreme rays of recession cone:
 0 1 0

1 basis elements of maximal subspace:
 1 -1 0

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