File: euclid.ref

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normaliz 3.9.4%2Bds-2
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0 lattice points in polytope (Hilbert basis elements of degree 1)
2 extreme rays
2 support hyperplanes

embedding dimension = 2
rank = 2 (maximal)
external index = 6
internal index = 1

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

grading:
0 1 

degrees of extreme rays:
3:2  

multiplicity = 1/3
multiplicity (float) = 0.333333333333
volume (lattice normalized) = 1/3
volume (normalized, float) = 0.333333333333
volume (Euclidean) = 0.666666666667

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

degree of Hilbert Series as rational function = -6

The numerator of the Hilbert series is symmetric.

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

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

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

2 extreme rays:
 0 3
 2 3

2 support hyperplanes:
 -3 2
  1 0

1 congruences:
 3 2 6

2 basis elements of generated  lattice:
 2 0
 0 3