693] 
A TENTH MEMOIR ON QUANTICS. 
349 
The 17 syzygies above referred to are 
Deg-ord. 
6.10 
6.14 
5.11 
6.6 
6.8 
6.12 
7.7 
7.9 
8.6 
d 2 g = 12 abd 4- 4 b 2 c + e~, 
a?h = ñacd + 4 be 1 + ef, 
ai = — bf+ ce, 
aj = b 3 — 2 bh + eg 4- 9 d 2 , 
ok = — 2 hi 4- 3 de, 
al = 2 ci — 3df, 
am — — 2b~d — cj + 3 dh, 
an = b-e — Gbl — 2ck — fg, 
ao = 2 bn + ej, 
8.10 
9.5 
9.7 
10.8 
12.6 
13.5 
14.6 
19.5 
ap = - 2cn — fj, 
aq = — 2 b' 2 j + bdg — 12 dm + hj, 
ar = b~k + bp — co + hk, 
as = 3 bdk + 3dp 4- 2im, 
at = bjk +jp — 2 nm, 
lHau = Zagq + b-gj 4- 6bmj — Qdj‘~ — ghj + no, 
3av = 2b 3 q — Hb 2 j 2 — 2b 2 gm + Qbdgj — 12bm 2 4- 3et, 
18aw = Sb 2 gt + b 2 qo — 4 bj 2 o — bgmo + 18 bmt + 3 dgjo — 18 djt — 3 ght — <om?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 covariants 
j, k,.., u, v, w, will be given further on. 
Table No. 96 (Segregates, Congregates, and Syzygies). 
Deg-ord. 
Congs. 
Segregates. 
1. 1 
3 
1 
5 
a 
2. 0 
2 
b 
4 
6 
c 
8 
10 
a 2 
3. 1 
3 
d 
5 
e 
7 
ab 
9 
f 
11 
ac 
13 
15 
a 1 
1 
.