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

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5 Hilbert basis elements
2 extreme rays
2 support hyperplanes

embedding dimension = 3
rank = 2
external index = 5

No implicit grading found

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5 Hilbert basis elements:
 -10  -5 0
  -5  -3 0
   0  -1 0
   5  -8 0
  10 -15 0

2 extreme rays:
 -10  -5 0
  10 -15 0

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

1 equations:
 0 0 1

1 congruences:
 4 0 0 5

2 basis elements of lattice:
 5 0 0
 0 1 0