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

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2 extreme rays
2 support hyperplanes

embedding dimension = 2
rank = 2 (maximal)
external index = 1
internal index = 1

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

grading:
0 1 

degrees of extreme rays:
1: 2  

multiplicity = 1

integral  = 5/6

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

2 extreme rays:
 0 1
 1 1

2 support hyperplanes:
 -1 1
  1 0