GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
LoadPackage( "GradedRingForHomalg" ); S := GradedRing( HomalgFieldOfRationalsInDefaultCAS( ) * "x0..2" ); m := HomalgMatrix( "[ x0^2, x0*x1, x0*x2, x1^2, x1*x2, x2^2 ]", 6, 1, S ); A := KoszulDualRing( S, "e0..2" ); LoadPackage( "GradedModules" ); M := LeftPresentationWithDegrees( m );