PROFESSOR CAYLEY’S TENTH MEMOIR ON QUANTICS. 
637 
Table No. 98 (continued). 
Ti divided and segregate is 
K = n n ( 
2 
-T- 
3 
r + 1 
aq + 
1 
abo 
— 
1 
a%y + 
6 
— 
1 
„bdg — 
5 
>> $ 
+ 
3 
Jy - 
1 
aPcr 
— 
3 
8.2 
9.5 
10.8 
efficients are 
by + 
2 
bdk 
+ 
3 
bdq - 
2 
bej 
+ 
1 
dm — 
6 
cr 
+ 
1 
deg 
— 
1 
dp 
+ 
3 
lx, yf 
S divided and (as to the first three coefficients) segregate is 
— 2 
S=« 12 ( 
s + 1 
agj 
— 
2 
ab r 
- 1 
a?bq + 
4 
aPb 3 g 
+ 
2 
„do 
- 1 
ab s j + 
,, b~dg — 
4 
„ bhn 
+ 
3 
a°cs 
- 3 
4 
„ bdj 
+ 
21 
, , bdm — 
31 
„ bgh 
— 
4 
,,&j ~ 
3 
„ c 'f 
+ 
2 
a% G + 
4 
,, cq 
— 
3 
,, b^d“ + 
16 
„ bdVi- 
24 
j, d/C7l -f~ 
4 
,,/s — 
1 
9.3 
10.6 
11.9 
12.12 
but the last coefficient is neither segregate nor integer. 
T divided and segregate is 
T=<x 16 ( 
^2 
where the fractional coefficient is = 
t + 1 
bgm 
+ 
1 
bf 
+ 
4 
d 9J 
— 
3 
hq 
— 
1 
11.1 
12.4 
is = 
b\ 
— 
1 
hq 
+ 
1 
TO 2 
+ 
6 
fa, y)\ 
fa, y)' s > 
