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n:=16;
# This file calculates cohomology rings for all groups
# of size n, and prints timings.
LoadPackage("crime");
s:=0;
f:=Concatenation(String(n),"-group_cohomology.txt");
for j in [1..NumberSmallGroups(n)] do
AppendTo(f,"SmallGroup(",n,",",j,")\n");
G:=SmallGroup(n,j);
C:=CohomologyObject(G);
B:=ProjectiveResolution(C,10);
t:=Runtime();
AppendTo(f,"Betti Numbers: ",B,"\nTime: ",StringTime(t-s),"\n");
s:=t;
D:=CohomologyGenerators(C,10);
t:=Runtime();
AppendTo(f,"Generators in degrees: ",D,"\nTime: ",StringTime(t-s),"\n");
s:=t;
R:=CohomologyRelators(C,10);
t:=Runtime();
AppendTo(f,"Relators: ",R,"\nTime: ",StringTime(t-s),"\n\n");
s:=t;
od;
AppendTo(f,"Total time: ",StringTime(t),"\n");
[ Dauer der Verarbeitung: 0.15 Sekunden
(vorverarbeitet)
]
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