948 
PROFESSOR A. CAYLEY ON THE SINGLE 
The 256 equations now are 
86. First set, 64 equations. 
Suffixes. 
0-0 
a 00 , , a 00 
-Tqq u-\-u . u— n 
= 
X X' 
+ Y Y' 
+ Z Z' 
+ W W' 
0 
4-0 
00 00 
10 00 
= 
X X' 
+ Y Y' 
+ Z Z' 
+ W W' 
1 
8-0 
00 00 
01 00 
= 
X X' 
+ Y Y' 
+ Z Z' 
+w w 
2 
12-0 
00 00 
11 00 
= 
X X' 
+ Y Y' 
+ Z Z' 
+w w 
3 
0-4 
^ u + u . .9^ u — u' 
= 
X X' 
—Y Y' 
+ Z Z' 
-W W' 
1 
4-4 
00 00 
10 10 
= 
X X' 
-Y Y' 
+ Z Z' 
-W W' 
0 
8-4 
00 00 
01 10 
= 
X X' 
-Y Y' 
+ Z Z' 
-W w 
3 
12-4 
00 00 
11 10 
= 
X X' 
-Y Y' 
+ Z Z' 
-W W' 
2 
0-8 
«9qo u + u ■ u ~~ u 
— 
X X' 
+ Y Y' 
-Z Z' 
-W W' 
2 
4-8 
00 00 
10 01 
= 
X X' 
+ Y Y' 
-Z Z' 
-W W' 
3 
8-8 
00 00 
01 01 
— 
X X' 
+ Y Y' 
-Z Z' 
-W W' 
0 
12-8 
00 00 
11 01 
= 
X X' 
+ Y Y' 
-Z Z' 
- W W' 
1 
0-12 
■9-qq u + u ' . .9^ u — u' 
= 
X X' 
-Y T 
-Z Z' 
+ W W' 
3 
4-12 
00 00 
10 11 
= 
X X' 
-Y Y' 
-Z Z' 
+ W W' 
o 
8-12 
00 00 
01 11 
— 
X X' 
-YY' 
-Z Z' 
+w w 
i 
12-12 
00 00 
11 11 
= 
X X' 
-Y Y' 
-Z Z' 
+ W W' 
0 
