AND DOUBLE THETA-FUNCTIONS. 
Fourth set, 64 equations (continued). 
Suffixes. 
2-1 
^00 u + u ' ■ -Cl u ~ u ' 
— 
M N' 
+ N M' 
+ P Q' 
+ Q P' 
0 
6-1 
01 10 
10 00 
= 
M N' 
+ N M' 
+ P Q' 
+ QP' 
1 
10-1 
01 10 
01 00 
= 
M N' 
+ N M' 
+ PQ' 
+ QP' 
2 
14-1 
01 10 
11 00 • 
= 
M N' 
+ N M' 
+ P Q' 
+ Q P' 
3 
2-5 
4 u + u' . u — u' 
- : 
z’M N' 
-zN M' 
+ z‘P Q' 
-iQ P' 
1 
6-5 
01 10 
10 10 
= 
m N' 
—z'N M' 
+ zP Q' 
—iQ P' 
0 
10-5 
ol 10 
01 10 
= 
*M N' 
—IN M' 
+ /P Q' 
-z'Q P' 
3 
14-5 
01 10 
11 10 
= 
z'M N' 
—zN M' 
+z'P Q' 
—z'Q P' 
2 
2-9 
nOl , , JO 
"VqQ U ~| It • it It 
= 
—z’M N' 
—z’N M' 
+ zP Q' 
+zQ P' 
2 
6-9 
01 10 
10 01 
= 
— zM N' 
—IN M' 
+iP Q' 
+1Q P' 
Q 
♦ > 
10-9 
01 10 
01 01 
= 
zM N' 
+ zN M' 
—IP Q' 
— z'Q P' 
0 
14-9 
01 10 
11 01 
= 
z'M N' 
+ z’N M' 
-iP Q' 
— z'Q P' 
1 
2-13 
•Iqq ti + u' . 4^ u — u' 
= 
M N' 
- N M’ 
- PQ' 
+ Q P' 
3 
6-13 
01 10 
11 11 
M N' 
- N M' 
- PQ' 
+ Q P' 
2 
10-13 
01 10 
01 11 
= 
- M N' 
+ N M' 
+ P Q' 
- QP' 
1 
14-13 
01 10 
11 11 
= 
- M N' 
+ N M' 
+ P Q' 
-QP' 
0 
MDCCCLXXX. 
6 H 
