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

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Read( "ReducedBasisOfModule.g" );

W := Hom( Qxyz, W );

d := Resolution( W );
dW := d * W;
EdW := Ext( 1, dW, W );
C := Cohomology( EdW );

Display( StringTime( homalgTime( Qxyz ) ) );