GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
LoadPackage( "GradedRingForHomalg" ); S := GradedRing( HomalgFieldOfRationalsInDefaultCAS( ) * "x0..x3" ); A := KoszulDualRing( S, "e0..e3" ); LoadPackage( "GradedModules" ); ## [EFS, Example 7.1]: ## Let C be an elliptic quartic curve in P3 , and consider C as a sheaf on P3 C := HomalgMatrix( "[ x0^2 + x2^2 + x1*x3, x1^2+ x3^2+ x0*x2 ]", 2, 1, S ); C := LeftPresentationWithDegrees( C );