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

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#g3 f4

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

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

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

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

5x5
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

5x5
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

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

2^5*3=96