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

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3 module generators
4 Hilbert basis elements of recession monoid
2 vertices of polyhedron
4 extreme rays of recession cone
5 support hyperplanes of polyhedron

embedding dimension = 4
affine dimension of the polyhedron = 3 (maximal)
rank of recession monoid = 3
internal index = 1

size of triangulation   = 4
resulting sum of |det|s = 4

dehomogenization:
0 0 0 1 

grading:
1 1 1 0 


module rank = 1

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3 module generators:
 -2 0  1 1
 -1 0  0 1
  0 0 -1 1

4 Hilbert basis elements of recession monoid:
 0 0 1 0
 0 1 1 0
 1 0 1 0
 1 1 1 0

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

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

5 support hyperplanes of polyhedron:
 -1  0 1 1
  0 -1 1 1
  0  1 0 0
  1 -1 1 1
  1  0 0 2