PROFESSOR CAYLEY’S TENTH MEMOIR ON QUANTICS. 
C13 
Deg-ord. 
6.10 
crg= 
12a6c? + 46 3 c+e 3 , 
6.14 
crh= 
Gacd Abc : -\- cf, 
5.11 
ai = 
—bf+ce. 
6.6 
cj = 
6 3 — 2 bh + cg-\- 9 d z . 
6.8 
a k = 
— 2bt-\- 3de, 
6.12 
a l — 
2ci — 3df 
7.7 
am— 
-2b°d—cj-\-3dh, 
7.9 
an = 
b^e — Gbl — 2 cl' —fg, 
8.6 
ao - 
2 bn+ej, 
8.10 
ap = 
— 2cn—fj, 
9.5 
aq — 
-2b 2 j-\-bdg—l2dm-\-hj, 
9.7 
ar = 
Irk -{-bp — co + hk, 
10.8 
as = 
3 bdk-\- 3 dp-\- 2m, 
12.6 
at = 
bjk-\-jp — 2mn, 
13.5 
18cnt = 
2 agq-{- b*gj- f- Gbmj — Gdf—ghj + no, 
14.6 
Sav = 
2 b ?J q — 8 Irj' 2 — 2 b 2 gm-\-G bdgj — 12 brn' + 3 et, 
19.5 
18 aw= 
3 b 2 gt -}- b' 2 qo — 4 bj 2 o — bgm o + 1 8 brnt + 3 dgj o 
1 8 djt — 3 ght — 6m 2 o, 
the last four of these being, however, beyond the limits of the table : the expressions 
of g, h, i are here in the standard form : the standard forms of the other co variants 
j, k . . . u, v, w, will be given further on. 
Table No. 96 (Segregates, Congregates, and Syzygies). 
Deg ord. 
Congs. 
Segregates. 
1. 1 
1 
3 
5 
a 
2. 0 
2 
b 
4 
6 
G 
8 
10 
a 2 
3. 1 
3 
cl 
5 
e 
7 
ab 
9 
f 
11 
ac 
13 
15 
a 3 
