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

embedding dimension = 9
rank = 3
index = 4
original monoid is not integrally closed

size of triangulation   = 2
resulting sum of |det|s = 8

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

degrees of extreme rays:
2: 4  

multiplicity = 1

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

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

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

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9 Hilbert basis elements:
 2 0 4 4 2 0 0 4 2
 4 0 2 0 2 4 2 4 0
 2 2 2 2 2 2 2 2 2
 0 4 2 4 2 0 2 0 4
 2 4 0 0 2 4 4 0 2
 4 1 4 3 3 3 2 5 2
 2 3 4 5 3 1 2 3 4
 4 3 2 1 3 5 4 3 2
 2 5 2 3 3 3 4 1 4

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

4 support hyperplanes:
 -1  0 -1  0  3  0  0  0  0
 -1  0  1  0  1  0  0  0  0
  1  0 -1  0  1  0  0  0  0
  1  0  1  0 -1  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

2 congruences:
 0 0 1 0 0 0 0 0 0 2
 1 0 0 0 0 0 0 0 0 2

0 Hilbert basis elements of degree 1:

