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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
3 Hilbert basis elements of recession monoid
1 vertices of polyhedron
2 extreme rays of recession cone
6 module generators over original monoid
3 support hyperplanes of polyhedron (homogenized)

embedding dimension = 3
affine dimension of the polyhedron = 2 (maximal)
rank of recession monoid = 2
internal index = 12

size of triangulation   = 1
resulting sum of |det|s = 6

dehomogenization:
0 0 1 


module rank = 1

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1 module generators:
 1 1 1

3 Hilbert basis elements of recession monoid:
 -1 1 0
  0 1 0
  1 1 0

1 vertices of polyhedron:
 1 1 1

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

6 module generators over original monoid:
 -1 3 1
 -1 4 1
  0 2 1
  0 3 1
  1 1 1
  1 2 1

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