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PDF-2JACOBLURIEFinally,inx5andx6,wespecializetothecasesofE6andE7.Intheseca PDF document

4JACOBLURIER0R1p 4k1 2isobtainedbyadjoiningtoRarootofthepolynomialx2xkModulo2thisequationhasasolutionifandonlyifkiseventhatisifd1mod8IfMqisaquadraticspacewedenotebyOMqthegroupo

4JACOBLURIER0=R[1+p 4k+1 2]isobtainedbyadjoiningtoRarootofthepolynomialx2xk.Modulo2 thisequationhasasolutionifandonlyifkiseven;thatis ifd1(mod8).If(M;q)isaquadraticspace wedenotebyO(M;q)thegroupo

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