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

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23 extreme rays
43 support hyperplanes

embedding dimension = 10
rank = 10 (maximal)
external index = 1
internal index = 1
original monoid is not integrally closed
witness for not being integrally closed:
1 1 1 1 1 1 1 1 1 3 


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23 extreme rays:
 0 0 0 0 0 0 0 0 1 0
 0 0 0 0 0 0 0 1 0 0
 0 0 0 0 0 0 0 1 1 1
 0 0 0 0 0 0 1 0 0 0
 0 0 0 0 0 0 1 0 1 1
 0 0 0 0 0 1 0 0 0 0
 0 0 0 0 0 1 0 0 1 1
 0 0 0 0 1 0 0 0 0 0
 0 0 0 0 1 0 0 0 1 1
 0 0 0 0 1 1 1 1 0 1
 0 0 0 1 0 0 0 0 0 0
 0 0 0 1 0 0 0 0 1 1
 0 0 1 0 0 0 0 0 0 0
 0 0 1 0 0 0 0 0 1 1
 0 0 1 1 0 1 0 1 0 1
 0 1 0 0 0 0 0 0 0 0
 0 1 0 0 0 0 0 0 1 1
 0 1 0 0 0 0 1 1 0 1
 1 0 0 0 0 0 0 0 0 0
 1 0 0 0 0 0 0 0 1 1
 1 0 1 0 0 0 1 0 0 1
 1 1 0 1 1 0 0 0 0 1
 1 1 1 1 0 0 0 0 0 1

43 support hyperplanes:
 0 0 0 0 0 0 0 0 0  1
 0 0 0 0 0 0 0 0 1  0
 0 0 0 0 0 0 0 1 0  0
 0 0 0 0 0 0 1 0 0  0
 0 0 0 0 0 1 0 0 0  0
 0 0 0 0 1 0 0 0 0  0
 0 0 0 1 0 0 0 0 0  0
 0 0 0 1 0 0 1 0 1 -1
 0 0 1 0 0 0 0 0 0  0
 0 0 1 0 1 0 0 1 1 -1
 0 0 1 0 1 0 1 0 1 -1
 0 0 1 1 0 0 0 1 1 -1
 0 1 0 0 0 0 0 0 0  0
 0 1 0 0 0 0 1 1 1 -1
 0 1 0 0 0 1 1 0 1 -1
 0 1 1 0 0 0 0 1 1 -1
 0 1 1 0 0 0 1 0 1 -1
 0 1 1 0 0 1 0 0 1 -1
 0 1 1 0 1 0 0 0 1 -1
 0 1 1 0 1 1 1 0 2 -2
 0 1 2 0 1 0 0 1 2 -2
 0 1 2 0 1 0 1 0 2 -2
 0 1 2 0 2 0 1 1 3 -3
 0 2 1 0 0 0 1 1 2 -2
 0 2 1 0 0 1 1 0 2 -2
 0 2 2 0 1 1 1 0 3 -3
 0 2 3 0 2 0 1 1 4 -4
 1 0 0 0 0 0 0 0 0  0
 1 0 0 0 0 0 0 1 1 -1
 1 0 0 0 0 1 1 0 1 -1
 1 0 1 0 0 0 1 0 1 -1
 1 1 0 0 0 1 0 0 1 -1
 1 1 0 0 0 2 1 0 2 -2
 1 1 0 1 1 0 0 0 1 -1
 1 1 1 1 1 1 1 1 0 -1
 1 1 1 1 1 1 1 1 2 -3
 1 1 1 1 1 1 2 1 3 -4
 1 1 2 1 1 1 1 2 3 -4
 1 2 1 0 0 2 1 0 3 -3
 1 2 2 1 1 1 1 1 3 -4
 1 2 2 1 1 1 2 1 4 -5
 1 2 3 1 1 1 1 2 4 -5
 2 2 1 1 1 1 1 1 3 -4