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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( "Coupling.g" );

II_E := GrothendieckSpectralSequence( RightDualizingFunctor( A3 ), LeftDualizingFunctor( A3 ), N );

filt := FiltrationBySpectralSequence( II_E );

m := IsomorphismOfFiltration( filt );