GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
7 5 0 0 0 2 3 0 1 1 0 1 0 2 0 0 1 0 4 1 0 2 2 0 1 0 1 3 1 0 0 1 4 0 0 0 1 integral_closure 1 5 0 0 0 0 1 grading