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

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1940 extreme rays
25 support hyperplanes

embedding dimension = 25
rank = 15

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

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 2 1 0 0 1 0 0 4 0 0 2 0 0 2 0 0 3 0 0 1 0 0 0 2 2
 2 1 0 0 1 0 2 0 2 0 2 0 0 2 0 0 1 0 0 3 0 0 4 0 0
 2 1 0 0 1 0 2 2 0 0 0 0 0 4 0 0 1 0 0 3 2 0 2 0 0
 2 1 0 0 1 2 0 2 0 0 0 0 0 4 0 0 3 0 0 1 0 0 2 0 2
 2 1 0 4 0 0 0 6 1 0 0 6 1 0 0 0 0 0 2 5 5 0 0 0 2
 2 2 0 0 0 0 0 0 1 3 0 2 1 0 1 0 0 3 1 0 2 0 0 2 0
 2 2 0 0 0 0 0 1 3 0 0 0 1 0 3 2 0 0 1 1 0 2 2 0 0
 2 2 0 0 0 0 0 1 3 0 0 1 0 0 3 2 1 0 1 0 0 0 3 0 1
 2 2 0 0 0 0 0 1 3 0 0 2 0 0 2 1 0 3 0 0 1 0 0 1 2
 2 2 0 0 0 0 0 1 3 0 2 0 1 0 1 0 0 0 1 3 0 2 2 0 0
 2 2 0 0 0 0 1 0 0 3 0 0 1 2 1 0 1 3 0 0 2 0 0 2 0
 2 2 0 0 0 0 1 0 3 0 0 0 0 0 4 2 1 0 1 0 0 0 4 0 0
 2 2 0 0 0 0 1 0 3 0 0 0 0 1 3 2 1 1 0 0 0 0 3 0 1
 2 2 0 0 0 0 1 0 3 0 0 0 1 1 2 2 0 0 0 2 0 1 3 0 0
 2 2 0 0 0 0 1 0 3 0 2 0 0 0 2 0 1 0 1 2 0 0 4 0 0
 2 2 0 0 0 0 1 0 3 0 2 0 1 1 0 0 0 0 0 4 0 1 3 0 0
 2 2 0 0 0 1 0 0 3 0 0 2 0 0 2 0 0 4 0 0 1 0 0 1 2
 2 2 0 0 1 0 0 2 3 0 0 0 1 0 4 3 0 0 2 0 0 3 2 0 0
 2 2 0 0 1 0 1 4 0 0 0 0 1 4 0 0 0 0 1 4 3 2 0 0 0
 2 3 0 0 0 0 1 0 0 4 0 0 1 4 0 0 1 4 0 0 3 0 0 1 1
 2 3 0 0 0 0 1 0 4 0 0 0 1 0 4 3 0 0 1 1 0 1 4 0 0
 2 3 0 0 0 0 1 0 4 0 3 0 1 0 1 0 0 0 1 4 0 1 4 0 0
 2 3 0 0 0 0 2 0 1 2 0 0 1 4 0 0 0 2 0 3 3 0 2 0 0
 2 3 0 0 0 0 2 0 3 0 0 0 1 2 2 2 0 0 0 3 1 0 4 0 0
 2 3 0 0 0 0 2 0 3 0 2 0 1 2 0 0 0 0 0 5 1 0 4 0 0
 2 3 0 0 0 0 2 2 1 0 0 0 1 4 0 0 0 0 0 5 3 0 2 0 0
 2 4 0 0 1 0 2 0 5 0 0 0 1 0 6 5 0 0 2 0 0 1 6 0 0
 2 4 0 0 1 0 3 4 0 0 0 0 1 6 0 0 0 0 1 6 5 0 2 0 0
 2 4 0 1 0 0 2 0 0 5 0 0 1 6 0 0 1 6 0 0 5 0 0 0 2
 2 5 0 0 0 0 0 6 1 0 0 2 1 4 0 0 0 0 2 5 5 0 0 0 2
 2 5 0 0 0 0 2 0 1 4 0 0 1 6 0 0 0 6 0 1 5 0 0 0 2
 2 5 0 0 0 0 2 0 5 0 0 0 1 0 6 4 0 0 2 1 1 0 6 0 0
 2 5 0 0 0 0 2 0 5 0 4 0 1 0 2 0 0 0 2 5 1 0 6 0 0
 2 5 0 0 0 0 2 4 1 0 0 0 1 6 0 0 0 2 0 5 5 0 0 0 2
 2 6 0 0 1 0 3 0 6 0 0 0 1 0 8 6 0 0 3 0 1 0 8 0 0
 3 0 0 0 1 0 0 0 1 3 0 3 1 0 0 1 1 2 0 0 0 0 1 3 0
 3 0 0 0 1 0 0 0 1 3 1 0 1 2 0 0 1 3 0 0 0 3 0 1 0
 3 0 0 0 1 0 0 0 1 3 1 2 1 0 0 0 1 3 0 0 0 1 0 3 0
 3 0 0 0 1 0 0 0 2 2 0 2 0 2 0 0 0 4 0 0 1 2 0 0 1
 3 0 0 0 1 0 0 0 2 2 0 4 0 0 0 0 0 4 0 0 1 0 0 2 1
 3 0 0 0 1 0 0 0 2 2 1 0 1 2 0 0 0 3 0 1 0 4 0 0 0
 3 0 0 0 1 0 0 0 2 2 1 2 1 0 0 0 0 3 0 1 0 2 0 2 0
 3 0 0 0 1 0 0 0 2 2 1 3 0 0 0 0 1 3 0 0 0 0 1 2 1
 3 0 0 0 1 0 0 1 0 3 1 0 1 2 0 0 2 2 0 0 0 2 0 2 0
 3 0 0 0 1 0 0 1 0 3 1 2 1 0 0 0 2 2 0 0 0 0 0 4 0
 3 0 0 0 1 0 0 2 0 2 0 0 0 4 0 0 2 2 0 0 1 2 0 0 1
 3 0 0 0 1 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 1 0 0 2 1
 3 0 0 0 1 0 0 2 2 0 0 2 0 2 0 0 0 2 0 2 1 2 0 0 1
 3 0 0 0 1 0 0 2 2 0 0 4 0 0 0 0 0 2 0 2 1 0 0 2 1
 3 0 0 0 1 0 0 2 2 0 1 0 1 2 0 0 0 1 0 3 0 4 0 0 0
 3 0 0 0 1 0 0 2 2 0 1 2 1 0 0 0 0 1 0 3 0 2 0 2 0
 3 0 0 0 1 0 0 3 0 1 1 0 1 2 0 0 2 0 0 2 0 2 0 2 0
 3 0 0 0 1 0 0 3 0 1 1 2 1 0 0 0 2 0 0 2 0 0 0 4 0
 3 0 0 0 1 0 0 3 1 0 1 0 0 3 0 0 2 0 0 2 0 2 1 0 1
 3 0 0 0 1 0 0 3 1 0 1 0 1 2 0 0 1 0 0 3 0 3 0 1 0
 3 0 0 0 1 0 0 3 1 0 1 2 1 0 0 0 1 0 0 3 0 1 0 3 0
 3 0 0 0 1 0 0 4 0 0 0 0 0 4 0 0 2 0 0 2 1 2 0 0 1
 3 0 0 0 1 0 0 4 0 0 0 2 0 2 0 0 2 0 0 2 1 0 0 2 1
 3 0 0 0 1 1 0 2 1 0 0 0 1 3 0 0 1 0 0 3 0 3 1 0 0
 3 0 0 0 2 0 0 0 2 3 2 0 1 2 0 0 0 4 1 0 0 5 0 0 0
 3 0 0 0 2 0 0 0 2 3 2 2 1 0 0 0 0 4 1 0 0 3 0 2 0
 3 0 0 0 2 0 0 4 1 0 0 4 1 0 0 2 1 0 0 2 0 0 0 4 1
 3 0 0 0 2 0 1 0 1 3 0 4 1 0 0 1 0 4 0 0 1 0 0 4 0
 3 0 0 0 2 0 1 4 0 0 2 0 1 2 0 0 2 0 0 3 0 2 0 3 0
 3 0 0 0 2 0 1 4 0 0 2 2 1 0 0 0 2 0 0 3 0 0 0 5 0
 3 0 0 0 2 1 0 4 0 0 0 0 1 4 0 0 1 0 1 3 1 4 0 0 0
 3 0 0 0 2 2 0 0 1 2 0 0 1 4 0 0 1 4 0 0 0 4 0 0 1
 3 0 0 0 6 0 0 8 1 0 0 8 1 0 0 6 1 0 2 0 0 0 0 6 3
 3 0 0 0 6 6 2 0 1 0 0 0 1 8 0 0 1 8 0 0 0 6 0 0 3
 3 0 0 1 0 0 0 0 2 2 0 2 0 0 2 1 2 0 1 0 0 0 4 0 0
 3 0 0 1 0 0 0 2 2 0 0 0 0 0 4 1 2 0 1 0 0 2 2 0 0
 3 0 0 1 0 0 0 2 2 0 1 0 0 0 3 0 2 0 1 1 0 2 2 0 0
 3 0 0 1 0 0 0 3 1 0 0 0 1 2 1 0 1 0 0 3 1 3 0 0 0
 3 0 0 1 1 0 1 4 0 0 0 0 1 4 0 0 1 0 0 4 2 3 0 0 0
 3 0 0 2 0 0 0 4 1 0 0 4 1 0 0 0 1 0 0 4 2 0 0 2 1
 3 0 0 4 0 0 0 0 1 6 4 2 1 0 0 0 5 0 2 0 0 0 6 0 1
 3 0 0 6 0 0 0 8 1 0 0 8 1 0 0 0 1 0 2 6 6 0 0 0 3
 3 0 1 0 0 0 0 0 0 4 0 0 1 3 0 0 2 2 0 0 1 2 0 1 0
 3 0 1 0 0 0 0 0 0 4 0 2 1 1 0 0 2 2 0 0 1 0 0 3 0
 3 0 1 0 0 0 0 0 1 3 0 0 1 3 0 0 1 2 0 1 1 3 0 0 0
 3 0 1 0 0 0 0 0 1 3 0 3 1 0 0 0 1 2 0 1 1 0 0 3 0
 3 0 1 0 0 0 0 0 2 2 0 1 1 2 0 0 0 2 0 2 1 3 0 0 0
 3 0 1 0 0 0 0 0 2 2 0 2 0 0 2 1 2 0 1 0 0 0 3 1 0
 3 0 1 0 0 0 0 0 2 2 0 3 0 0 1 0 1 3 0 0 1 0 0 2 1
 3 0 1 0 0 0 0 0 2 2 0 3 1 0 0 0 0 2 0 2 1 1 0 2 0
 3 0 1 0 0 0 0 2 0 2 0 0 1 3 0 0 2 0 0 2 1 2 0 1 0
 3 0 1 0 0 0 0 2 0 2 0 2 1 1 0 0 2 0 0 2 1 0 0 3 0
 3 0 1 0 0 0 0 2 1 1 0 0 1 3 0 0 1 0 0 3 1 3 0 0 0
 3 0 1 0 0 0 0 2 1 1 0 3 1 0 0 0 1 0 0 3 1 0 0 3 0
 3 0 1 0 0 0 0 2 2 0 0 1 1 2 0 0 0 0 0 4 1 3 0 0 0
 3 0 1 0 0 0 0 2 2 0 0 3 1 0 0 0 0 0 0 4 1 1 0 2 0
 3 0 1 0 0 0 0 3 1 0 0 0 0 3 1 0 2 0 0 2 1 2 0 0 1
 3 0 1 0 0 1 1 0 2 0 0 0 0 2 2 0 2 0 0 2 0 1 3 0 0
 3 0 2 0 0 0 0 0 0 5 0 0 1 4 0 0 2 2 1 0 2 3 0 0 0
 3 0 2 0 0 0 0 2 0 3 0 0 1 4 0 0 2 0 1 2 2 3 0 0 0
 3 0 2 0 0 0 1 0 2 2 0 4 1 0 0 0 0 2 0 3 2 0 0 3 0
 3 0 2 0 0 0 1 2 2 0 0 4 1 0 0 0 0 0 0 5 2 0 0 3 0
 3 0 4 0 0 0 0 2 5 0 0 0 1 0 6 4 1 0 2 0 0 6 0 0 1
 3 0 4 0 0 4 2 0 1 0 0 0 1 0 6 0 5 2 0 0 0 0 0 6 1
 3 1 0 0 0 0 0 0 1 3 0 2 1 0 1 0 1 3 0 0 1 0 0 3 0
 3 1 0 0 0 0 1 0 2 1 1 0 0 0 3 0 2 2 0 0 0 0 2 2 0
 3 1 0 0 0 1 1 0 2 0 0 0 0 0 4 0 2 2 0 0 0 0 2 2 0
 3 1 0 0 0 1 1 0 2 0 0 0 0 2 2 0 2 0 0 2 0 0 4 0 0
 3 1 0 0 1 0 0 0 1 4 0 4 1 0 0 0 0 4 1 0 2 0 0 3 0
 3 2 0 0 0 0 0 0 1 4 0 0 1 4 0 0 1 4 0 0 2 2 0 0 1
 3 4 0 0 0 0 2 0 5 0 4 0 1 2 0 0 1 0 0 6 0 0 6 0 1
 3 6 0 0 0 0 2 0 1 6 0 0 1 8 0 0 1 8 0 0 6 0 0 0 3
 4 0 0 0 1 0 0 0 1 4 0 0 1 4 0 0 1 4 0 0 1 4 0 0 0
 4 0 0 0 1 0 0 0 1 4 0 4 1 0 0 0 1 4 0 0 1 0 0 4 0
 4 0 0 0 1 0 0 0 1 4 1 3 1 0 0 0 2 3 0 0 0 0 1 4 0
 4 0 0 0 1 0 0 0 2 3 0 1 1 3 0 0 0 4 0 1 1 4 0 0 0
 4 0 0 0 1 0 0 0 2 3 0 4 1 0 0 0 0 4 0 1 1 1 0 3 0
 4 0 0 0 1 0 0 1 0 4 0 0 1 4 0 0 2 3 0 0 1 3 0 1 0
 4 0 0 0 1 0 0 1 0 4 0 3 1 1 0 0 2 3 0 0 1 0 0 4 0
 4 0 0 0 1 0 0 3 2 0 0 1 1 3 0 0 0 1 0 4 1 4 0 0 0
 4 0 0 0 1 0 0 3 2 0 0 4 1 0 0 0 0 1 0 4 1 1 0 3 0
 4 0 0 0 1 0 0 3 2 0 1 0 1 3 0 0 1 0 0 4 0 4 1 0 0
 4 0 0 0 1 0 0 4 0 1 0 0 1 4 0 0 2 0 0 3 1 3 0 1 0
 4 0 0 0 1 0 0 4 0 1 0 3 1 1 0 0 2 0 0 3 1 0 0 4 0
 4 0 0 0 1 0 0 4 1 0 0 0 1 4 0 0 1 0 0 4 1 4 0 0 0
 4 0 0 0 1 0 0 4 1 0 0 4 1 0 0 0 1 0 0 4 1 0 0 4 0
 4 0 1 0 0 0 0 0 1 4 0 3 1 0 1 0 2 3 0 0 1 0 0 4 0
 4 0 1 0 0 0 0 3 2 0 0 0 1 3 1 0 1 0 0 4 1 4 0 0 0
 5 0 0 0 2 0 0 0 2 5 0 2 1 4 0 0 0 6 1 0 2 5 0 0 0
 5 0 0 0 2 0 0 0 2 5 0 6 1 0 0 0 0 6 1 0 2 1 0 4 0
 5 0 0 0 2 0 0 0 3 4 2 0 1 4 0 0 1 6 0 0 0 6 0 0 1
 5 0 0 0 2 0 0 2 0 5 0 0 1 6 0 0 2 4 1 0 2 5 0 0 0
 5 0 0 0 2 0 0 6 0 1 0 0 1 6 0 0 2 0 1 4 2 5 0 0 0
 5 0 0 0 2 0 0 6 1 0 2 4 1 0 0 0 3 0 0 4 0 0 0 6 1
 5 0 0 0 2 0 1 0 2 4 0 6 1 0 0 0 0 6 0 1 2 0 0 5 0
 5 0 0 0 2 0 1 4 2 0 0 6 1 0 0 0 0 2 0 5 2 0 0 5 0
 5 0 0 0 2 0 1 6 0 0 0 0 1 6 0 0 2 0 0 5 2 4 0 1 0
 5 0 0 0 2 0 1 6 0 0 0 4 1 2 0 0 2 0 0 5 2 0 0 5 0
 5 0 2 0 0 0 0 0 1 6 0 0 1 6 0 0 3 4 0 0 2 4 0 0 1
 5 0 2 0 0 0 0 4 3 0 0 6 1 0 0 0 1 0 0 6 2 0 0 4 1
 6 0 0 0 3 0 1 0 2 6 0 8 1 0 0 0 0 8 1 0 3 0 0 6 0
 6 0 0 0 3 0 1 8 0 0 0 0 1 8 0 0 2 0 1 6 3 6 0 0 0

25 support hyperplanes:
 -1 -1 -1 -1 -3  2  0  1  0 0  2  1 -1  1 0  2 0  1 0 0 0 0 0 0 0
 -1 -1 -1 -1 -1  0  2  1  2 0  0  1  3  1 0 -2 0 -1 0 0 0 0 0 0 0
  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  1 0 0 0 0 0 0 0
  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  1 0  0 0 0 0 0 0 0 0
  0  0  0  0  0  0  0  0  0 0  0  0  0  1 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  0  0  0  0  0  0 0  0  0  1  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  0  0  0  0  0  0 0  0  1  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  0  0  0  0  0  0 0  1  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  0  0  0  0  0  1 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  0  0  0  0  1  0 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  0  0  0  1  0  0 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  0  0  1  0  0  0 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  0  1  0  0  0  0 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  0  1  0  0  0  0  0 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  1  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  0  1  1  2 -1 -1  0  1 0 -1 -1  1  0 0 -1 0  0 0 0 0 0 0 0 0
  0  1  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  0  1  1  1  1 -1  0  0  0 0 -1  0  0  0 0 -1 0  0 0 0 0 0 0 0 0
  1 -1 -1 -3 -3  2  2  1 -2 0  2  1  1 -1 0  2 0  1 0 0 0 0 0 0 0
  1  0  0  0 -1  1  0  0 -1 0  1  0 -1  0 0  1 0  0 0 0 0 0 0 0 0
  1  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  1  1  0  1  1  0  0 -1  0 0  0  0 -1  0 0  0 0 -1 0 0 0 0 0 0 0
  1  1  1  1  1 -1 -1 -1 -1 0  0  0  0  0 0  0 0  0 0 0 0 0 0 0 0
  1  1  1  1  1  0  0  0  0 0 -1 -1 -1 -1 0  0 0  0 0 0 0 0 0 0 0
  1  3  3  3  5 -2 -2 -1  0 0 -2 -1 -1 -1 0 -2 0 -1 0 0 0 0 0 0 0

10 equations:
 2 0 0 0 0 0 0 -1 0 -2 0 -1  1 -1 -2 0  0 -1  0 -2  3  1  1  1  1
 0 2 0 0 0 0 0 -1 0 -2 0  1 -1 -1 -2 0  2 -1 -2 -2  3  3  1  1 -1
 0 0 1 0 0 0 0  1 0  0 0  0  1  0  0 0  0  1  0  0 -1 -1  0 -1 -1
 0 0 0 1 0 0 0  0 0  1 0  0 -1  1  1 0 -1  0  1  1 -2 -1 -1  0  0
 0 0 0 0 1 0 0  0 0  1 0  0  0  0  1 0  0  0  0  1 -1 -1 -1 -1  0
 0 0 0 0 0 2 0  1 0  2 0 -1 -3 -1  0 0 -2 -1 -2  0  1  1  1  1  1
 0 0 0 0 0 0 2  1 0  2 0  1  1  1  2 0  0  1  2  2 -5 -3 -3 -3 -1
 0 0 0 0 0 0 0  0 1 -1 0  0  1  0 -1 0  1  0  0 -1  1  0  0  0 -1
 0 0 0 0 0 0 0  0 0  0 1  1  1  1  1 0  0  0  0  0 -1 -1 -1 -1 -1
 0 0 0 0 0 0 0  0 0  0 0  0  0  0  0 1  1  1  1  1 -1 -1 -1 -1 -1

15 basis elements of lattice:
 2 0 0 0 0 0 0 0 0  2 0 0 0 0  2 0  2 0  1 -1  0  0  2  1 -1
 0 2 0 0 0 0 0 0 0  2 0 0 0 0  2 0  0 0  3 -1  2  0  2 -1 -1
 0 0 2 0 0 0 0 0 0  2 0 0 0 0  2 0  0 0  3 -1  2  2  0 -1 -1
 0 0 0 2 0 0 0 0 0  2 0 0 0 0  2 0  0 0  3 -1  2  2  2 -3 -1
 0 0 0 0 2 0 0 0 0  2 0 0 0 0  2 0 -2 0  5 -1  2  4  2 -3 -3
 0 0 0 0 0 1 0 0 0 -1 0 0 0 0  0 0  1 0 -1  0 -1 -1  0  1  1
 0 0 0 0 0 0 1 0 0 -1 0 0 0 0  0 0  0 0 -1  1  0 -1  0  1  0
 0 0 0 0 0 0 0 2 0 -2 0 0 0 0  0 0  0 0 -1  1  0  0 -2  1  1
 0 0 0 0 0 0 0 0 1 -1 0 0 0 0  0 0 -1 0  0  1  0  1  0 -1  0
 0 0 0 0 0 0 0 0 0  0 1 0 0 0 -1 0  1 0 -1  0 -1 -1  0  1  1
 0 0 0 0 0 0 0 0 0  0 0 2 0 0 -2 0  0 0 -1  1  0 -2  0  1  1
 0 0 0 0 0 0 0 0 0  0 0 0 2 0 -2 0 -2 0 -1  3  0  2 -2  1 -1
 0 0 0 0 0 0 0 0 0  0 0 0 0 2 -2 0  0 0 -1  1  0  0  0 -1  1
 0 0 0 0 0 0 0 0 0  0 0 0 0 0  0 1  1 0 -1 -1 -1 -1  0  1  1
 0 0 0 0 0 0 0 0 0  0 0 0 0 0  0 0  0 2 -1 -1  0  0 -2  1  1