#This example uses Polymake software.
a:=[[0,-1,0,0,],[1,0,0,0,],[0,0,0,1],[0,0,-1,0]];;
b:=[[0,0,-1,0],[0,0,0,-1],[1,0,0,0],[0,1,0,0]];;
G:=Group([a,b]);;
rho:=IdentityMapping(G);;
v:=[1,2,3,4];;
A:=Mod2SteenrodAlgebra(G,10);;
sw:= FundamentalMultiplesOfStiefelWhitneyClasses(rho,v,A,true);
Print(sw,"\n");
TotalStiefelWhitneyClass:= sw[1][1]+sw[2][1]+sw[3][1]+sw[4][1]+sw[5][1];
Print(TotalStiefelWhitneyClass,"\n");
