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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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4 extreme rays
4 support hyperplanes

embedding dimension = 4
rank = 4 (maximal)
external index = 1
internal index = 30
original monoid is not integrally closed
witness for not being integrally closed:
0 0 1 1 

grading:
0 0 0 1 

degrees of extreme rays:
1: 4  

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

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