8 Hilbert basis elements
5 generators of integral closure of the ideal
6 extreme rays
5 support hyperplanes

embedding dimension = 4
rank = 4 (maximal)
external index = 1
internal index = 1
original monoid is not integrally closed

size of partial triangulation   = 1
resulting sum of |det|s = 3

No implicit grading found

ideal is primary to the ideal generated by the indeterminates
multiplicity of the ideal = 15

rank of class group = 1
class group is free

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

8 Hilbert basis elements:
 0 0 1 0
 0 0 1 1
 0 1 0 0
 0 5 0 1
 1 0 0 0
 1 4 0 1
 2 2 0 1
 3 0 0 1

5 generators of integral closure of the ideal:
 0 0 1
 0 5 0
 1 4 0
 2 2 0
 3 0 0

6 extreme rays:
 0 0 1 0
 0 0 1 1
 0 1 0 0
 0 5 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
 5 3 15 -15

