156 Proceedings of the Royal Irish Academy. 



have common values, which shows that the factors of S are K' and Ai since 



Xi 111 Zx 



{K')~ = Xo 7/2 Zo 



i X3 ^3 «3 



Now, examination of canonical form shows, in fact, that 



S = - ^'A^^ 



.S" = 8Za,1 



Hence, 

 or, finallv 





r = - 8Ai^r, (>S",)^ = - Af', A'l = - 64•^S?^A,^ 



