GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#g2 f1 5x5 1 1 0 0 0 0 -1 0 0 0 0 1 1 0 0 0 -1 0 1 0 0 1 0 0 1 5x5 -1 0 0 1 1 1 0 0 0 0 -1 -1 0 1 0 1 0 -1 0 0 -1 0 0 0 1 5x5 4 1 -2 -2 -2 1 4 1 -2 1 -2 1 4 1 1 -2 -2 1 4 1 -2 1 1 1 4 2^5*3^2*5 = 1440 dim5/5-2c