[143 
143] TABLES OF THE COYARIANTS M TO W OF THE BINARY QUINTIC. 
283 
QUIN- 
nTINTH 
variants) 
;ernative 
md also 
Q' are 
nly the 
Efficients ; 
efficients 
)f literal 
number 
md any 
)f terms 
ssed the 
Memoir: 
s which 
a given 
but for 
always, 
iown by 
a number with the sign + prefixed. The verification is in some cases given in regard 
to the subsets involving the same powers of a and b, here also the sums of the 
positive and negative coefficients are not in every case equal. The cases of inequalit} r 
will be referred to at the end of this paper. 
The whole series of covariants is as follows : 
Mem. No. of tsJble. de^-wei^lit 
2 
13 
A 
(1, 1, 1, 1, 1, 1$*, y)‘ 
1 (0.... 5) 
r 
14 
B 
(3, 3, 3$#, y) 2 
2 (4.6) 
y> 
15 
C 
(2, 2, 3, 3, 3, 2, 2$*, y)’ 
2 (2 8) 
» 
16 
D 
(6, 6, 6, 6$#, y) 3 
3 (6..9) 
•» 
17 
E 
(5, 6, 6, 6, 6, 5$#, yj 
3 (5.... 10) 
18 
F 
(3, 4, 5, 6, 6, 6, 6, 5, 4, 3}£æ, y) 9 
3 (3 : 
>> 
19 
G = 
(12$æ, y) 0 , Invt. 
4-10 
» 
20 
H = 
(11, 11, 12, 11, 11$®, y)* 
4 (8...12) 
y> 
21 
I 
(9, 11, 11, 12, 11, 11, 9]£r, y) s 
4 (7 13) 
>> 
22 
J 
(20, 20$*, yY 
5 (12, 13) 
?> 
23 
K 
(19, 20, 20, I9jx, y) 3 
5 (11.. 14) 
1 
) J 
24 
L 
(16, 18, 19, 20, 20, 19, 18, 16]£r, y) 7 
5 (9 16) 
8 
83 
M = 
(32, 32, 32$æ, yY 
6 (14.16) 
» 
84 
N = 
(30, 32, 32, 32, 30&r, yY 
6 (13...17) 
9 
90 
0 
(49, 49$#, y) 1 
7 (17, 18) 
91 
P 
(46, 48, 49, 49, 48, 46$#, y) 5 
7 (15.... 20) 
2 
Q 25 
Q' 26 
Q, Q' = 
(73$#, y) 0 , Invt. 
8-20 
9 
92 
R 
(71, 73, 71$®, yf 
8 (19.21) 
9 
10 
S 93 
S 93 bis 
S, S' = 
(101, 102, 102, 101$#, y) 3 
9 (21.. 24) 
9 
94 
T 
(190, 190$*, yY 
11 (27, 28) 
3 
29 
U = 
(252$#, y) 0 , Invt. 
12-30 
9 
95 
Y 
(325, 325$*, yY 
13 (32, 33) 
5 
29a 
W = 
(967$#, y) 0 , Invt. 
18-45 
36—2