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

embedding dimension = 2
rank = 2 (maximal)
external index = 1
internal index = 1
dimension of maximal subspace = 1

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

grading:
1 1 

degrees of extreme rays:
1: 1  

multiplicity = 1

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

degree of Hilbert Series as rational function = -1

The numerator of the Hilbert Series is symmetric.

Hilbert polynomial:
1 
with common denominator = 1

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1 Hilbert basis elements of degree 1:
 1 0

1 extreme rays:
 1 0

1 basis elements of maximal subspace:
 1 -1

1 support hyperplanes:
 1 1