306 Proceedings of Boyal Society of EdinhurgJi. [april 16, 
A(0129). 
CO 
0 
A(0147). 
A(0237). 
«o 
. — 1 
A(0246). 
A(0345). 
A (0 1 2 0 ; 9) 
-1 
A (0 1 2 0 ; 8,1) 
+ 1 
-1 
A (0 1 2 0 ; 7,2) 
+ 1 
- 1 
+ 1 
A (0 1 2 0; 7,1,1) 
-1 
+ 1 
-1 
A (0 1 2 0; 6,3) 
+ 1 
-1 
-1 
+ 1 
A (0 1 2 0 ; 6,2,1) 
-1 
+ 1 
+ 1 
-1 
A (0 1 2 0 ; 5,4) 
+ 1 
+ 1 
-1 
A (0 1 2 0 ; 5,3,1) 
-1 
+ 1 
+1 
+ 1 
A (0 1 2 0 ; 5,2,2) 
-1 
+ 1 
-1 
A (0 1 2 0 ; 4,4,1) 
-1 
+ 1 
-1 
A (0 1 2 0 ; 4,3,2) 
-1 
+ 2 
A (0 1 2 0 ; 3,3,3) 
-1 
From each of the nine tables we obtain a result by simple addition. 
These nine results (or ten, rather) are 
[ao P I = 
d^{af,cY\ = \a%'^c^d^\ 
\a^ c2 dHa,b,cY\ = 
!«» c2 d^{afcf\ = \cmc^d^\ 
d^{af,cf\ = = 
|a^ d\a,b,cf\ = \a%'^c^d'^\ = 
|a0 c2 d\a,b,cY\ = \a%'^cH^\ = 
\a^ ¥ c2 d^{a,b,cy\ = --= 
|a« /d c2 d(a,b,cf I = 0 
1^0 ^2 (^a,b,cY I = 0 
\a%^c‘^d^\ 
\a^b'^c^d^\ 
