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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( "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 );