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

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#g2 f1

5x5
-1 0 0 -1 -1
0 1 0 -1 0
0 0 0 -1 0
0 0 1 -1 0
0 0 0 2 1

5x5
0 0 0 1 0
1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
0 0 0 0 1

5x5
4 0 0 0 2
0 4 0 0 2
0 0 4 0 2
0 0 0 4 2
2 2 2 2 5

2^8*3*5 = 3840