inhom_quasi.ref

2 vertices of polyhedron
4 extreme rays of recession cone
6 support hyperplanes of polyhedron (homogenized)

embedding dimension = 4
affine dimension of the polyhedron = 3 (maximal)
rank of recession monoid = 3
internal index = 1

size of triangulation   = 4
resulting sum of |det|s = 4

dehomogenization:
0 0 0 1 

grading:
1 1 1 0 


module rank = 1
multiplicity = 1/3

Hilbert series:
3 -3 4 -3 3 -2 
denominator with 3 factors:
1: 2  6: 1  

shift = -1

degree of Hilbert Series as rational function = -4

Hilbert series with cyclotomic denominator:
-3 0 -1 2 
cyclotomic denominator:
1: 3  2: 1  3: 1  

Hilbert quasi-polynomial of period 6:
 0:  18 12 1
 1:  29 12 1
 2:  20 12 1
 3:  27 12 1
 4:  20 12 1
 5:  29 12 1
with common denominator = 6

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2 vertices of polyhedron:
 -2 0  1 1
  0 0 -1 1

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

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