1885.] K ', E', J', G' in ascending powers of the modulus. 239 





= 1, 

 = 1, 

 = 1, 



= 1, 



= 1, 



= 1. 



_ 1 



— '2: 



= 1(1 + ** 





E„ WA 



- ±k" 2 



— 2 /l/ 



E V 

 E V 



T 



7 

 2 



r 

 i 



r 



2 



V o 

 F, G 



2' ^2 

 = |&", 



T^ 2 , ^ 2 

 W t , I x 

 W„ I t 



There are seven letters involved, viz. 



K, E, I, G, U, V, W 



and in these 21 equations, each letter is combined with every 

 letter except itself; so that every possible combination occurs. 



Thus, writing for brevity the determinant 





G v I x 



G„, J„ 



= k 2 



— U-' 2 



— 2 ft > 



_ 1 



— 2> 



A n , B n 



as (AB), 



17—2 



