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

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

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

size of partial triangulation   = 2
resulting sum of |det|s = 4

grading:
0 1 

degrees of extreme rays:
1: 2  

Hilbert basis elements are of degree 1

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

7 Hilbert basis elements of degree 1:
 0 1
 1 1
 2 1
 3 1
 4 1
 5 1
 6 1

0 further Hilbert basis elements of higher degree:

2 extreme rays:
 0 1
 6 1

2 support hyperplanes:
 -1 6
  1 0