GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g4 f2 z1 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 0 1 0 0 0 -1 1 5x5 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 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 2 -1 0 0 0 -1 2 5x5 1 0 1 -1 -1 0 0 -1 0 1 0 1 0 0 0 0 -1 1 0 1 1 0 0 1 0 2^6*3^2=576