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

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3 extreme rays
3 support hyperplanes

embedding dimension = 3
rank = 3 (maximal)
external index = 1
internal index = 15

size of triangulation   = 1
resulting sum of |det|s = 15

grading:
0 0 1 

degrees of extreme rays:
2: 1  3: 1  4: 1  

multiplicity = 5/8

virtual multiplicity of weighted Ehrhart series = -37675/5184

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3 extreme rays:
  1  1 2
 -1 -1 3
  1 -2 4

3 support hyperplanes:
 -8  2 3
  1 -1 0
  2  7 3