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

embedding dimension = 9
rank = 3
index = 2
original monoid is not integrally closed

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

grading:
1 1 1 0 0 0 0 0 0 
with denominator = 3

degrees of extreme rays:
1: 4  

Hilbert basis elements are of degree 1

multiplicity = 4

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

Hilbert polynomial:
1 2 2 
with common denominator = 1

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5 Hilbert basis elements:
 1 2 0 0 1 2 2 0 1
 2 0 1 0 1 2 1 2 0
 1 1 1 1 1 1 1 1 1
 0 2 1 2 1 0 1 0 2
 1 0 2 2 1 0 0 2 1

4 extreme rays:
 1 2 0 0 1 2 2 0 1
 2 0 1 0 1 2 1 2 0
 0 2 1 2 1 0 1 0 2
 1 0 2 2 1 0 0 2 1

4 support hyperplanes:
  0  1  0  0  0  0  0  0  0
  0  1  2  0 -2  0  0  0  0
  0 -1 -2  0  4  0  0  0  0
  0 -1  0  0  2  0  0  0  0

6 equations:
 -2  1  4 -3  0  0  0  0  0
 -1  0  1 -1  1  0  0  0  0
 -2  0  2 -1  0  1  0  0  0
 -2  0  3 -2  0  0  1  0  0
  0  0 -2  1  0  0  0  1  0
 -1  0  2 -2  0  0  0  0  1

5 Hilbert basis elements of degree 1:
 1 2 0 0 1 2 2 0 1
 2 0 1 0 1 2 1 2 0
 1 1 1 1 1 1 1 1 1
 0 2 1 2 1 0 1 0 2
 1 0 2 2 1 0 0 2 1

