normface.ref

1 Hilbert basis elements
1 Hilbert basis elements of degree 1
1 extreme rays
1 support hyperplanes

embedding dimension = 5
rank = 5 (maximal)
external index = 1
internal index = 1
dimension of maximal subspace = 4
original monoid is not integrally closed
unit group index = 2

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

grading:
0 0 0 1 0 

degrees of extreme rays:
1: 1  

Hilbert basis elements are of degree 1

multiplicity = 1

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

degree of Hilbert Series as rational function = -1

The numerator of the Hilbert Series is symmetric.

Hilbert polynomial:
1 
with common denominator = 1

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1 Hilbert basis elements of degree 1:
 0 0 0 1 0

0 further Hilbert basis elements of higher degree:

1 extreme rays:
 0 0 0 1 0

4 basis elements of maximal subspace:
 1 0 0 0 0
 0 1 0 0 0
 0 0 1 0 0
 0 0 0 0 1

1 support hyperplanes:
 0 0 0 1 0