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

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

embedding dimension = 2
rank = 2 (maximal)
external index = 1
internal index = 1
dimension of maximal subspace = 2
original monoid is integrally closed

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

grading:
0 0 

degrees of extreme rays:


Hilbert basis elements are of degree 1

multiplicity = 1

Hilbert series:
1 
denominator with 0 factors:


degree of Hilbert Series as rational function = 0

The numerator of the Hilbert Series is symmetric.

Hilbert polynomial:

with common denominator = 1

rank of class group = 0
class group is free

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

0 Hilbert basis elements of degree 1:

0 further Hilbert basis elements of higher degree:

0 extreme rays:

2 basis elements of maximal subspace:
 1 0
 0 1

0 support hyperplanes: