376 
TABLES FOR THE BINARY SEXTIC. 
[774 
Remaining Coefficients of C, E, G. 
C 
x 3 y 
«/+ 2 
be — 6 
cd -f- 4 
xY 
ag+ 1 
ce - 9 
d 2 + 8 
xy s 
bg+2 
c/ - 6 
de + 4 
y 4 
eg + 1 
cZ/-4 
e 2 + 3 
xy 
adg + 
1 
aef - 
1 
beg - 
1 
bdf- 
8 
be- + 
9 
ef + 
9 
ede - 
17 
d 3 + 
8 
r 
aeg + 
1 
a/ 2 - 
1 
bdg - 
3 
bef + 
3 
e 2 g + 
2 
cdf - 
1 
ce} — 
3 
d 2 e + 
2 
Note.—In the tables on this page, a 
has been treated like the other letters ; 
on the preceding pages, the powers 
of a have been suppressed except in 
the first of every series of terms con 
taining a common power of a. 
G 
x 7 y 
a}g 
+ 
1 
abf 
+ 
2 
ace 
- 
19 
ad 2 
-L. 
8 
Ire 
- 
6 
bed 
+ 
44 
c 3 
- 
30 
x e y 
2 
abg 
4- 
7 
acf 
- 
14 
ade 
— 
14 
bf 
0 
bee 
- 
21 
Id 2 
+ 
112 
c 2 d 
- 
70 
x r, y 
aeg 
+ 
7 
adf 
- 
28 
ae 2 
- 
14 
b 2 g 
H* 
14 
bef 
- 
42 
bde 
+ 
168 
c}e 
- 
105 
c 4 y 
4 
adg 
0 
aef 
- 
35 
beg 
+ 
35 
bdf 
0 
be 2 
+ 
105 
ef 
— 
105 
G 
Py 
5 
aeg 
7 
of 2 
- 
14 
bdg 
+ 
28 
bef 
+ 
42 
e 2 g 
“f" 
14 
cdf 
- 
168 
ce 2 
+ 
105 
x 2 y 
a fg 
— 
7 
beg 
+ 
14 
¥ 2 
0 
edg 
+ 
14 
cef 
21 
df 
- 
112 
de- 
+ 
70 
xy 7 
ag 2 
— 
1 
bfg 
- 
2 
ceg 
+ 
19 
ef 2 
+ 
6 
d-g 
- 
8 
def 
- 
44 
e s 
+ 
30 
y 8 
bg 2 
— 
1 
efg 
+ 
5 
deg 
- 
2 
df 2 
- 
8 
ef 
4* 
6 
The final result is that we have the values of the invariants B, I, P, W, Z 
and the leading coefficients of the covariants A, C, D, E, F, G, H, J, K, L, M, 
N0, Q, R: also the means of calculating the leading coefficients of the remaining 
covariants S, T, U, V, X, Y.