19 Hilbert basis elements
18 lattice points in polytope (Hilbert basis elements of degree 1)
4 extreme rays
30 module generators over original monoid
4 support hyperplanes

embedding dimension = 4
rank = 4 (maximal)
external index = 1
internal index = 30
original monoid is not integrally closed

size of triangulation   = 1
resulting sum of |det|s = 30

grading:
0 0 0 1 

degrees of extreme rays:
1: 4  

Hilbert basis elements are not of degree 1

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18 lattice points in polytope (Hilbert basis elements of degree 1):
 0 0 0 1
 0 0 1 1
 0 0 2 1
 0 0 3 1
 0 0 4 1
 0 0 5 1
 0 1 0 1
 0 1 1 1
 0 1 2 1
 0 1 3 1
 0 2 0 1
 0 2 1 1
 0 3 0 1
 1 0 0 1
 1 0 1 1
 1 0 2 1
 1 1 0 1
 2 0 0 1

1 further Hilbert basis elements of higher degree:
 1 2 4 2

4 extreme rays:
 0 0 0 1
 0 0 5 1
 0 3 0 1
 2 0 0 1

30 module generators over original monoid:
 0 0 0 0
 0 0 1 1
 0 0 2 1
 0 0 3 1
 0 0 4 1
 0 1 0 1
 0 1 1 1
 0 1 2 1
 0 1 3 1
 0 2 0 1
 0 2 1 1
 1 0 0 1
 1 0 1 1
 1 0 2 1
 1 1 0 1
 0 1 4 2
 0 2 2 2
 0 2 3 2
 0 2 4 2
 1 0 3 2
 1 0 4 2
 1 1 1 2
 1 1 2 2
 1 1 3 2
 1 1 4 2
 1 2 0 2
 1 2 1 2
 1 2 2 2
 1 2 3 2
 1 2 4 2

4 support hyperplanes:
 -15 -10 -6 30
   0   0  1  0
   0   1  0  0
   1   0  0  0

