PROFESSOR CAYLEY’S TENTH MEMOIR ON QUANTICS. 
633 
Table No. 98. Covariants of A, divided and (except as to a few coefficients) segregate. 
A and B as given in Table 97 were divided and segregate. 
C was divided but not segregate : the divided and segregate form is 
c=( 
0 + 1 
f+ 3 
arb + 3 
a°c 2 — 15 
are + 1 
a°cf -10 
a?cl + 6 
a%c - 3 
„c- s +15 
a?i + 3 
«,°c 3 / + 3 
at6 3 - 1 
„ h + 1 
a?cd — 4 
a°c 4 - 1 
2.6 3.9 4.12 5.15 
D divided and segregate is 
6.18 
7.21 
8.24 
-+ 3 
D = a 3 ( 
d + ] 
i + 1 
ab* - 
1 
al - 1 
,Ji + 
1 
aPci — 1 
a n cd — 
3 
yf, 
3.3 4.6 5.9 6.12 
an integer non-segregate form of the fractional coefficient is 
ci — 1 
df + 1 
\ x , yf 
E was divided but not segregate : the divided and segregate form is 
E=( 
rH 
+ 
ad — 6 
ai + 12 
aW - 8 
a~be — 5 
a^g — 1 
a°bc —10 
a°ce —10 
„h ~ 2 
„l + 8 
a s bd + 6 
acd — 24 
aci — 12 
+ 2 
«.°5c 3 + 20 
a°c 2 e + 5 
„ ch + 2 
a$d + 6 
a°bc s — 2 
3.5 4.8 5.11 6.14 7.17 8.20 
F was divided but not segregate : the divided and segregate form is 
-=-3 
F=( 
/+ 1 
a% + 2 
a% + 1 
aH + 34 
a?i + 40 
a 4 S 2 - 16 
a 4 be — 21 
a 6 g - 
1 
aVc - 4 
a% 3 - 2 
a°c 2 - 18 
a°c/- 3 6 
a~bc — 42 
orce — 35 
„ h - 5 
aH - 8 
a?bd + 
18 
a 5 bi + 1 
,, bib + 3 
a°c 3 + 168 
a°c 2 /+ 126 
a s cd + 46 
,, ci — 16 
a 4 b~c — 
18 
a 4 bce + 2 
.. c 9 ~ 1 
« 4 6 2 e 2 + 4 
a?bc 2 + 155 
oVe + 189 
„ch + 
38 
„ cl - 8 
a°c 4 +252 
aPcy- 252 
a 3 c 2 d — 
174 
a 3 c 2 i —16 
„c*k - 5 
arbc 2 — 
86 
a 2 (?e — 13 
a?c 3 d + 16 
a°c 5 + 
72 
«°e 4 / + 9 
arbc 4 + 4 
a°c 6 - 2 
3.9 
4.12 
5.15 
6.18 
7.21 
8.24 
9.27 
10.30 
11.33 
12.36 
where for an integer non-segregate value of the fractional coefficient, see the original 
form of F. 
4 m 2 
