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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( "Markus_Lokalisierung.g" );

filt := PurityFiltration( M );

II_E := SpectralSequence( filt );

m := IsomorphismOfFiltration( filt );

filtN := PurityFiltration( N );

n := IsomorphismOfFiltration( filtN );