* H « I \ 4. ■% J 
□■■■■■■I 
704] A MEMOIR ON THE SINGLE AND DOUBLE THETA-FUNCTIONS. 
The 256 equations now are 
86. First set, 64 equations. 
513 
C. X. 
Suffixes. 
o 
1 
o 
o oo , „00 
■cr oo U + u . ir QQ u — u 
= 
XX' 
+ YY' 
+ ZZ 1 
+ WW' 
0 
1 
o 
00 00 
10 00 
= 
XX' 
+ YY' 
+ ZZ' 
+ WW 
1 
8-0 
00 00 
01 00 
= 
XX' 
+ YY' 
+ ZZ' 
+ WW 
2 
12-0 
00 00 
11 00 
= 
XX' 
+ YY' 
+ ZZ' 
+ WW 
3 
0-4 
a 00 / a °0 
it + U . $ — u 
= 
XX' 
- YY' 
+ ZZ' 
- WW 
1 
4-4 
00 00 
10 10 
= 
XX' 
- YY' 
+ ZZ' 
- WW 
0 
1 
00 
00 00 
01 10 
= 
XX' 
- YY' 
+ ZZ' 
- WW 
3 
12-4 
00 00 
11 10 
= 
XX' 
- YY' 
+ ZZ' 
- WW 
2 
0-8 
a 00 , a 00 
$ qqU + U 
= 
XX' 
+ YY 
-ZZ' 
- WW 
2 
00 
1 
00 00 
10 01 
= 
XX' 
+ YY' 
-ZZ' 
- WW 
3 
00 
1 
oo 
00 00 
01 01 
= 
XX' 
+ YY' 
-ZZ' 
- WW 
0 
12-8 
00 00 
11 01 
= 
XX' 
+ YY' 
-ZZ' 
- WW 
1 
0-12 
„00 , „00 
■¡t qq u + u . *j u u — u 
= 
XX 
- YY' 
-ZZ' 
+ WW 
3 
4-12 
00 00 
10 11 
= 
XX' 
- YY' 
-ZZ' 
+ WW 
2 
8-12 
00 00 
01 11 
= 
XX' 
- YY' 
-ZZ' 
+ WW 
1 
12-12 
00 00 
11 11 
= 
XX' 
- YY' 
-ZZ' 
+ WW 
0 
65 
ft