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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 module generators
1 Hilbert basis elements of recession monoid
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

size of triangulation   = 1
resulting sum of |det|s = 8

dehomogenization:
0 0 1 

grading:
1 0 0 


module rank = 2
multiplicity = 2

Hilbert series:
1 1 
denominator with 1 factors:
1: 1  

shift = -1

degree of Hilbert Series as rational function = -1

The numerator of the Hilbert Series is symmetric.

Hilbert polynomial:
2 
with common denominator = 1

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2 module generators:
 -1 0 1
  0 1 1

1 Hilbert basis elements of recession monoid:
 1 0 0

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