SquareMinusVertexPolyh.ref

3 module generators
4 Hilbert basis elements of recession monoid
3 vertices of polyhedron
4 extreme rays of recession cone
7 support hyperplanes of polyhedron (homogenized)

embedding dimension = 4
affine dimension of the polyhedron = 3 (maximal)
rank of recession monoid = 3
internal index = 2

size of triangulation   = 5
resulting sum of |det|s = 10

dehomogenization:
0 0 0 1 

grading:
0 0 1 0 


module rank = 1
multiplicity = 2

Hilbert series:
3 -1 
denominator with 3 factors:
1: 3  

shift = 1

degree of Hilbert Series as rational function = -1

Hilbert polynomial:
0 2 1 
with common denominator = 1

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3 module generators:
 0 1 1 1
 1 0 1 1
 1 1 1 1

4 Hilbert basis elements of recession monoid:
 0 0 1 0
 0 1 1 0
 1 0 1 0
 1 1 1 0

3 vertices of polyhedron:
 0 1 0 2
 1 0 0 2
 1 1 0 2

4 extreme rays of recession cone:
 0 0 1 0
 0 1 1 0
 1 0 1 0
 1 1 1 0

7 support hyperplanes of polyhedron (homogenized):
 -2  0 2  1
  0 -2 2  1
  0  0 0  1
  0  0 1  0
  0  1 0  0
  1  0 0  0
  2  2 0 -1