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

embedding dimension = 5
rank = 2
external index = 1

grading:
-1 -1 0 0 0 

degrees of extreme rays:
1: 2  

Hilbert basis elements are of degree 1

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

0 further Hilbert basis elements of higher degree:

2 extreme rays:
 0 -1 1  0 0
 1 -2 3 -1 0

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

3 equations:
 1 0 0 1 0
 0 1 1 1 0
 0 0 0 0 1

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

