polytop.ref

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

embedding dimension = 4
rank = 4 (maximal)
external index = 1
internal index = 30

size of triangulation   = 1
resulting sum of |det|s = 30

grading:
0 0 0 1 

degrees of extreme rays:
1: 4  

multiplicity = 30

Hilbert series:
1 14 15 
denominator with 4 factors:
1: 4  

degree of Hilbert Series as rational function = -2

Hilbert polynomial:
1 4 8 5 
with common denominator = 1

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18 Hilbert basis elements of degree 1:
 0 0 0 1
 0 0 1 1
 0 0 2 1
 0 0 3 1
 0 0 4 1
 0 0 5 1
 0 1 0 1
 0 1 1 1
 0 1 2 1
 0 1 3 1
 0 2 0 1
 0 2 1 1
 0 3 0 1
 1 0 0 1
 1 0 1 1
 1 0 2 1
 1 1 0 1
 2 0 0 1

4 extreme rays:
 0 0 0 1
 0 0 5 1
 0 3 0 1
 2 0 0 1

4 support hyperplanes:
 -15 -10 -6 30
   0   0  1  0
   0   1  0  0
   1   0  0  0