300 
ON SYMMETRIC FUNCTIONS AND SEM1NV ARI ANTS. 
[932 
52. For the weight 12, the linkage is 
read downwards. 
shown by 
not uv AO 
higher than 
read upwards. 
Thus, beginning at the top of the column of initials, m is to be linked with g 2 , 
that is, we have (m go g 2 ); ck with c/ 2 , that is, we have (ck oo cf 2 ); dj cannot be 
linked with e s , for the final must be in AO not higher than b 3 j, but it is linked 
with the highest term b 2 f 2 for which this condition is satisfied, that is, we have 
(dj go b 2 / 2 ); ei is then linked with the highest admissible term e s , that is, we have 
(ei oo e 3 ); and so on.