File: cross2.ref

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normaliz 3.10.4%2Bds-1
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5 Hilbert basis elements
5 lattice points in polytope (Hilbert basis elements of degree 1)
4 extreme rays
4 support hyperplanes

1 excluded faces

embedding dimension = 3
rank = 3 (maximal)
external index = 1
internal index = 2
original monoid is not integrally closed in chosen lattice

grading:
0 0 1 

degrees of extreme rays:
1:4  

Hilbert basis elements are of degree 1

***********************************************************************

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

0 further Hilbert basis elements of higher degree:

4 extreme rays:
 -1  0 1
  0 -1 1
  0  1 1
  1  0 1

4 support hyperplanes:
 -1 -1 1
 -1  1 1
  1 -1 1
  1  1 1

1 excluded faces:
 -1 -1 1