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

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9 extreme rays
9 support hyperplanes

embedding dimension = 9
rank = 9 (maximal)
external index = 1

size of triangulation   = 1
resulting sum of |det|s = 98304000

grading:
1 0 0 0 0 0 0 0 0 

degrees of extreme rays:
1: 5  5: 4  

multiplicity = 786432/5

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

9 extreme rays:
 1 -2  1  2 -2  2 -1 -2  3
 1 -2  3 -2  1 -2  3 -2  1
 1  0 -2  0  3  0 -2  0  1
 1  2 -1 -2 -2 -2  1  2  3
 1  2  1  2  1  2  1  2  1
 5 -6  5 -2  0  2 -5  6 -5
 5 -2 -5  6  0 -6  5  2 -5
 5  2 -5 -6  0  6  5 -2 -5
 5  6  5  2  0 -2 -5 -6 -5

9 support hyperplanes:
  1  -1   2  -1   2  -1   2  -1   1
  1   2   2   2   2   2   2   2   1
  4  -1  -4  -1   8  -1  -4  -1   4
 16 -13  -4  11 -16  11  -4 -13  16
 16  11  -4 -13 -16 -13  -4  11  16
 64 -61  44 -37 -16  11 -52  83 -32
 64 -37 -52  83 -16 -61  44  11 -32
 64  11 -52 -61 -16  83  44 -37 -32
 64  83  44  11 -16 -37 -52 -61 -32