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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
2 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 = 2

dehomogenization:
1 0 0 


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

1 vertices of polyhedron:
 1 1 1

2 extreme rays of recession cone:
 0 0 1
 0 1 0

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