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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 = 4
rank = 4 (maximal)
dimension of maximal subspace = 2

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2 extreme rays:
 0 1 0 0
 1 0 0 0

2 basis elements of maximal subspace:
 0 0 1 0
 0 0 0 1

2 support hyperplanes:
 0 1 0 0
 1 0 0 0