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

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2 vertices of polyhedron
1 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 = 1

dehomogenization:
0 0 1 

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

1 extreme rays of recession cone:
 1 0 0

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