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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 Hilbert basis elements
2 Hilbert basis elements of degree 1
2 extreme rays
2 support hyperplanes

embedding dimension = 3
rank = 3 (maximal)
external index = 1
internal index = 2
dimension of maximal subspace = 1
original monoid is not integrally closed

size of partial triangulation   = 0
resulting sum of |det|s = 0

grading:
1 1 0 

degrees of extreme rays:
1: 2  

Hilbert basis elements are of degree 1

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

2 Hilbert basis elements of degree 1:
 0 1 0
 1 0 0

0 further Hilbert basis elements of higher degree:

2 extreme rays:
 0 1 0
 1 0 0

1 basis elements of maximal subspace:
 0 0 1

2 support hyperplanes:
 0 1 0
 1 0 0