File: strict.ref

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normaliz 3.10.4%2Bds-1
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1 module generators
3 Hilbert basis elements of recession monoid
1 vertices of polyhedron
3 extreme rays of recession cone
4 support hyperplanes of polyhedron (homogenized)

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

size of triangulation   = 1
resulting sum of |det|s = 1

dehomogenization:
0 0 0 1 

grading:
1 -1 -1 0 


module rank = 1
multiplicity = 1

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

shift = 3

degree of Hilbert Series as rational function = 0

The numerator of the Hilbert series is symmetric.

Hilbert polynomial:
2 -3 1 
with common denominator = 2

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

1 module generators:
 1 -1 -1 1

3 Hilbert basis elements of recession monoid:
 0 -1  0 0
 0  0 -1 0
 1  0  0 0

1 vertices of polyhedron:
 1 -1 -1 1

3 extreme rays of recession cone:
 0 -1  0 0
 0  0 -1 0
 1  0  0 0

4 support hyperplanes of polyhedron (homogenized):
 0 -1  0 -1
 0  0 -1 -1
 0  0  0  1
 1  0  0 -1