3 Hilbert basis elements of degree 1
2 extreme rays
2 support hyperplanes

embedding dimension = 4
rank = 2
external index = 1

grading:
1 -1 0 0 

degrees of extreme rays:
1: 2  

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3 Hilbert basis elements of degree 1:
 1 0 4 2
 2 1 2 2
 3 2 0 2

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

2 support hyperplanes:
 0  1 0 0
 2 -3 0 0

2 equations:
 2 0 1 -3
 0 2 1 -2

2 basis elements of lattice:
 1 0  4  2
 0 1 -6 -2