icmi.ref

7 Hilbert basis elements
7 Hilbert basis elements of degree 1
4 generators of integral closure of the ideal
5 extreme rays
5 support hyperplanes

embedding dimension = 4
rank = 4 (maximal)
external index = 1
internal index = 1
original monoid is integrally closed

size of partial triangulation   = 0
resulting sum of |det|s = 0

grading:
1 1 1 -2 

degrees of extreme rays:
1: 5  

Hilbert basis elements are of degree 1

ideal is not primary to the ideal generated by the indeterminates

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7 Hilbert basis elements of degree 1:
 0 0 1 0
 0 1 0 0
 0 3 0 1
 1 0 0 0
 1 2 0 1
 2 1 0 1
 3 0 0 1

0 further Hilbert basis elements of higher degree:

4 generators of integral closure of the ideal:
 0 3 0
 1 2 0
 2 1 0
 3 0 0

5 extreme rays:
 0 0 1 0
 0 1 0 0
 0 3 0 1
 1 0 0 0
 3 0 0 1

5 support hyperplanes:
 0 0 0  1
 0 0 1  0
 0 1 0  0
 1 0 0  0
 1 1 0 -3