File: 6.5.txt

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gap> polytope:=CoxeterComplex_alt(D,5);;
gap> R:=FreeGResolution(polytope,5);
Resolution of length 5 in characteristic 0 for <matrix group with 
8 generators> . 
No contracting homotopy available. 

gap> C:=TensorWithIntegers(R);
Chain complex of length 5 in characteristic 0 . 

gap> Homology(C,4);
[ 2, 2, 2, 2 ]