23.ref

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

embedding dimension = 2
rank = 2 (maximal)
external index = 1

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

grading:
2 3 

degrees of extreme rays:
2: 1  3: 1  

multiplicity = 1/6

Hilbert series:
1 -1 1 
denominator with 2 factors:
1: 1  6: 1  

degree of Hilbert Series as rational function = -5

The numerator of the Hilbert Series is symmetric.

Hilbert series with cyclotomic denominator:
1 
cyclotomic denominator:
1: 2  2: 1  3: 1  

Hilbert quasi-polynomial of period 6:
 0:   6 1
 1:  -1 1
 2:   4 1
 3:   3 1
 4:   2 1
 5:   1 1
with common denominator = 6

rank of class group = 0
class group is free

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0 Hilbert basis elements of degree 1:

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

2 extreme rays:
 1 0
 0 1

2 support hyperplanes:
 0 1
 1 0