OF ELLIPTIC FUNCTIONS. 
413 
26. I give from Sohnke the series of modular equations, adding those for the com- 
posite cases w=9 and n= 15, as to which see the remarks which follow the Table. 
V 4 
V 3 
V 2 
V 
i 
u 4 
-i 
u 3 
+ 2 
u 1 
u 
1 - 2 
1 
1 +1 
1 
1 
+ 2, 
0 
2 
—i 
= (w+l) 3 (v— 1 ) 
V 6 
V 4 
V 3 
V 2 
V 
1 
u 6 
— 1 
u 5 
+ 4 
u 4 
— 5 
u 3 
u 2 
+ 5 
u 
-4 
1 
+ 1 
1+4+5 o -5 -4 —l a=(«+i)‘(r— l). 
V s V 7 V 3 V 5 V 4 V 3 V 1 V 1 
u a 
0 
+ 1 
u 1 
-8 
u 6 
1 
+ 28 
u 3 
1 
— 56 
u 4 
1 
+ 70 
u 3 
-56 
U 2 
+ 28 
u 
-8 
1 
+ 1 
0 
1 -8 +28 -56 +70 -56 +28 -8 +1 = («- l ) 8 . 
3 i 
MDCCCLXXIV. 
