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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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LoadPackage( "GradedModules" );

S := GradedRing( HomalgFieldOfRationalsInDefaultCAS( ) * "x0..2" );

I := GradedLeftSubmodule ( "x0*x1^2-x2^3", S );

J := I + GradedLeftSubmodule( "x0^4", S );

M := FactorObject( J );

A := KoszulDualRing( S, "e0..2" );