Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., late sadlerian professor of pure mathematics in the University of Cambridge (Vol. 10)

693] 
A TENTH MEMOIR ON QUANTICS 
Table No. 96 (concluded). 
Deg-ord. 
Congs. 
Segregates. 
11. 1 
3 
5 
go, t 
bffj, dg 2 , dq, jm 
* 
dr . 18 
ho . 3 
jn 
km. 6 
b 2 o, bgk, bs, eg 2 , eq, gp 
-2+5-6 . -3 +3 
-2+11-24 . -3 +6 
+1-3+6 . +1 -2 
-2+5-12 . -3 +3 
12. 0 
2 
4 
9 s , 9% u 
gr, jo 
* 
ko 
m 2 .12 
b 2 g 2 , b 2 q, bgm, bj 2 , dgj, g 2 h, hg 
— 2 -2 -4 +3 
+ 2 +1 +4 -3 . -3 
13. 1 
3 
91, n, v 
* 
jr . 2 
mo. 2 
bgo, bt, g% gs, kg 
. -2 . +1-1 
. -4 . +1-1 
14. 0 
2 
4 
bg 3 , bgq, bu, g 2 m, gj 2 , mq, o 2 
* 
dgo 
dt . 18 
mr. 12 
bgr, bjo, g 2 n, gjk, js, nq 
S.D. 10.4, do 
+ 1 +2 . —1 +6+3 
+1+2 . -1 . +3 
Theory of the Canonical Form. Art. Nos. 375 to 381, and Tables Nos. 97 and 98. 
375. As the small italic letters have been used to represent the covariants, 
different letters are required for the coefficients of the quintic : using also new 
letters for the facients, I take the quintic to be (a, b, c, d, e, f][£, y) 5 . Considering 
a linear transformation of - (a, b, c, d, e, f][f, y) 5 , viz. 
(a, b, c, d, e, f$£-b77, ay)\
	        
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