GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
LoadPackage( "GradedModules" ); S := GradedRing( HomalgFieldOfRationalsInDefaultCAS( ) * "x0..2" ); I := GradedLeftSubmodule ( "x0*x1^2-x2^3", S ); J := I + GradedLeftSubmodule( "x0^10", S ); M := FactorObject( J ); A := KoszulDualRing( S, "e0..2" );