578] 
130 A MEMOIR ON THE TRANSFORMATION OF ELLIPTIC FUNCTIONS. [578 
26. I give from Sohnke the series of modular equations, adding those for the 
composite cases n = 9 and n = 15, as to which see the remarks which follow the Table. 
V 4 
V 3 
v 2 
V 
1 
u 4 
- 1 
V? 
+ 2 
V? 
Vj 
— 2 
1 
+ 1 
1 
+ 2 
0 
— 2 
- 1 
= (v + l) 3 (v-1). 
V 4 
v 5 
v 2 
V 
1 
u 6 
- 1 
IV' 
+ 4 
u 4 
-5 
u 3 
V? 
+ 5 
u 
-4 
1 
+1 
1 
+ 4 
+ 5 
0 
-5 
-4 
-1 
= («+ l) 5 (v-l 
u 8 
V 7 
V s 
v 5 
v 4 
V 3 
v 2 
V 
1 
u* 
0 
+ 1 
u 7 
-8 
u 6 
+ 28 
u 5 
— 56 
u 4 
+ 70 
u 3 
- 56 
u 2 
+ 28 
u 
-8 
1 
+ 1 
0 
1 
-8 
+ 28 
-56 
+ 70 
-56 
+ 28 
- 8 
+ 1 
I? 12 
V 11 
u n 
u n 
tt 10 
M 9 
-16 
w 8 
0 
M 7 
M 6 
w 5 
u 4 
u 3 
u 2 
+ 8 
1 
+1 
1 
-8 
V 12 
/yll 
+ 32 
0 
- 22 
+ 1