halfspace3inhom.ref

1 module generators
1 Hilbert basis elements of recession monoid
1 vertices of polyhedron
1 extreme rays of recession cone
2 support hyperplanes of polyhedron (homogenized)

embedding dimension = 4
affine dimension of the polyhedron = 2
rank of recession monoid = 2
dimension of maximal subspace = 1

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

dehomogenization:
0 0 0 1 

grading:
1 0 0 0 


module rank = 1
multiplicity = 1

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

shift = -1

degree of Hilbert Series as rational function = -2

The numerator of the Hilbert Series is symmetric.

Hilbert polynomial:
1 
with common denominator = 1

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1 module generators:
 -1 0 0 1

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

1 vertices of polyhedron:
 -1 0 0 1

1 extreme rays of recession cone:
 1 0 0 0

1 basis elements of maximal subspace:
 0 1 0 0

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

1 equations:
 0 0 1 0

3 basis elements of lattice:
 1 0 0 0
 0 1 0 0
 0 0 0 1