we get 



On tlie EL'latively Abelian Coprora. ^5 





Avhere s i> a certain ca])e root of unit\\ If we denote tlie required 

 discrinmant 1)y I), tlien 



(,„_l)(„,_s) «,-i ;. 



= J-2"'-V-. 

 On tlie other liand, let D^ 1»e the discriminant of tlie equation 



>svG/) = o, 



which is of degree ^ , and whose roots are 



Then, mi account uf the relation 



srf \ \r.f \ 1 1 (snu — sn?Ä)(snz; + sn?Ä) 



sn-u nn-v sn-7tsn-u 



we ol)tain 



;:(«.-l)(„.-3) 



It was shewn in §. 2, that Ä(y) i^5 an integral function of //. 

 Hence, if we regard // as an unknown quantit}', the al)Ove equa- 

 tion is of degree i- ? '^^^'^ its discriminant y/> must satisfy the 

 relation 



1 ;. 



2 





-1 ^ma+b)^-Y- 



Therefore 



/r 





Comparing this result with (11), and remembering tliat e must he 

 a culje root of unity, we find that 



