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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)

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

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