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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 0 0
2 1 0 0 0
-2 -1 0 1 -1
1 1 1 0 1
1 1 0 -1 0

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

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

2^8*3*5 = 3840

dim5/5-1b