113. Third set, 32 equations, 
We again change the notation, writing 
I + K, i(I-K), J+L, i (J - L) 
= X, F, Z, W 
-/"2 ( X- o, 12 “ J- H” ^2) J2 (ij 
= x 2 , F 2 , ^ 9) F 
the zero values being 
CL, 0, 7, 0 I «!, 0, 0, 8, I a 2 , 0, 72, 0 | a 3 , 0, 0, S 3 . 
Then equations are 
(Suffixes 0.) 
(Suffixes 1.) 
(Suffixes 2.) 
(Suffixes 3.) 
Sw 
Su X 
$U 
Sw 
X 
w 
Sm 
Sm. 
X Z 
Sw 
Sw X 
TF 
2 
0 — a 
7 
6 
0 
= a 
- 8 
2 
8 = 
— ia — iy 
6 
CO 
II 
1 ) 
<S>. 
p 
— i8 
6 
4 = a 
“7 
2 
4 
= a 
8 
6 
12 = 
— ¿a + iy 
2 
12 = — ¿a 
i8 
3 
1=7 
a 
15 
9 
= 8 
a 
3 
9 = 
— iy — ia 
15 
1 = 8 
a 
7 
5 = 7 
— a 
11 
13 
= - 8 
a 
7 
13 = 
— iy + ia 
11 
5 = — 8 
a 
F 
IF 
Y 
Y W 
F 
z 
10 
8 = a 
7 
14 
8 
= a 
8 
10 
0 = 
a y 
14 
0 = a 
8 
14 
12 = a 
“ 7 
10 
12 
= a 
- 8 
14 
4 = 
a “ 7 
10 
4 = a 
- 8 
11 
9 = 7 
a 
7 
1 
= - 3 
a 
11 
1 = 
7 a 
7 
9 = -78 
— ia 
15 
II 
CO 
l-H 
— a 
3 
5 
= 3 
a 
15 
5 = 
y - a 
3 
13 = i8 
— ia 
£0 
SO 
so 
SO 
SO 
SO 
SO 
SO 
2 
0 = a 2 
+ 7 2 
6 
0 
= a 2 
- S 2 
2 
8 = 
— i (a 2 4- y 2 ) 
6 
8 = — i (a 
2 + S 2 ) 
6 
II 
p » 
“ 7 2 
2 
4 
= a 2 
+ 8 2 
6 
12 = 
1 
1 
So 
2 
12 =-¿(a 
2_8 2 ) 
3 
1 = 
2 ay 
15 
9 
= 2 aS 
3 
9 = 
— 2iay 
15 
1 = 
2a8.