634 
PROFESSOR CAYLEY’S TENTH MEMOIR ON QUANTICS. 
Table No. 98 (continued). 
G as an invariant was divided and segregate, G = a 6 <j 
4.0 
H divided and segregate is 
4-3 
h + 1 
be + 2 
a?g + 1 
a?k + 2 
a^j + 2 
l -4 
abd -12 
abi — 8 
a 2 & 3 + 4 
a°eh - 6 
aPbce — 6 
„bh - 5 
,, cl + 12 
„ eg + 1 
abed +12 
aWh + 3 
4.4 57 6.10 7.13 8.16 
where the fractional coefficients are = 
ade + 
2 
a?b 3 
+ 
2 
a°bj + 
4 
„d 2 
+ 
6 
,, bee — 
6 
abed 
— 
2 
,, cl + 
4 
aW 
— 
8 
„ bef 
— 
3 
„ 
+ 
1 
„ ce 2 
+ 
1 
1 divided and segregate is 
4-3 4-3 4-3 
i + 1 
ab° - 2 
„ h + 2 
a°cd -18 
+ 5 
a°<7 —15 
a*bd -20 
a°c 2 d + 60 
a s k - 5 
erfo’ — 25 
acl — 30 
aPcH +45 
ay — 4 
a 3 5 3 + 10 
,, bh — 8 
„ Cf/ +4 
a%cd - 6 
a&c 2 -18 
,, c^h — 6 
a°c 3 d — 54 
a 3 6 2 e + 3 
,, &Z -f- 9 
„ eh - 5 
»/<7 - 3 
dtbei — 8 
ab*cf - 9 
„ 6c 2 e —15 
„ cH + 3 
a°cH — 3 
4.6 
5.9 
6.12 
7.15 
8.18 
9.21 
10.24 
where the fractional coefficients are= 
aHe - 5 
a 3 5 3 + 2 
a 3 b 2 e + 1 
ab"f + 5 
„d 2 -12 
a?bdf + 3 
,, bee — 5 
a%cd - 2 
,, cc^e — 5 
a°cH — 5 
a6 2 c 2 — 6 
abhf + 1 
,, cdf+ 30 
„ cVi - 2 
„ 6c 2 e — 5 
„ce 2 - 2 
» e 2 / - 1 
aPcH -18 
a°c 3 i + 1 
„cHf— 3 
