6 lattice points in polytope (Hilbert basis elements of degree 1)
4 extreme rays
4 support hyperplanes

embedding dimension = 3
rank = 3 (maximal)
external index = 1
internal index = 1

grading:
1 1 -2 

degrees of extreme rays:
1: 4  

ideal is primary to the ideal generated by the indeterminates

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

4 extreme rays:
 0 1 0
 0 3 1
 1 0 0
 3 0 1

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

