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. 11)

TABLES OF COVARIANTS OF THE BINARY SEXTIC. 
381 
775] 
I=( ii)\ Invt - 
edg 2 
abfff ... 
ceg + 1 
cf 2 - 1 
d 2 g - 1 
def + 2 
e 3 — 1 
a°b 2 eg — 1 
bf 2 + 1 
bcdg + 2 
beef — 2 
bdf - 2 
bde 2 + 2 
c 3 g - 1 
c4f + 2 
cV + 1 
cd 2 e — 3 
d i + 1 
± 3 
+ 9 
J=( Ъ, y)‘ 
X* a?y X 2 y 2 xy 3 y* 
deg 
«-fg 
+ 
■ 
®У 
+ 
i 
abg 2 
+ 
2 
a eg 2 
... 
P 
+ 
1 
a beg 
- 
10 
« Vg 
- 
6 
cfg 
- 
10 
dfg 
a bdg 
ър 
- 
8 
сед 
- 
6 
deg 
+ 
4 
e 2 g 
bef 
- 
10 
edg 
+ 
4 
cP 
+ 
6 
df 2 
16 
cp 
<?g 
cef 
+ 
26 
d 2 g 
+ 
4 
ef 
- 
12 
a°b 2 g 2 
+ 
1 
cdf 
+ 
4 
df 
- 
8 
def 
+ 
12 
a°bfg 
- 
8 
befg 
- 
10 
ce 2 
“f* 
16 
de 2 
- 
8 
e 3 
- 
12 
bceg 
+ 
26 
bdeg 
+ 
4 
d 2 e 
- 
12 
a°b 2 dg 
+ 
16 
a°b 2 eg 
+ 
6 
be/ 2 
+ 
24 
bdp 
+ 
16 
a°b 2 cg 
b 2 ef 
+ 
24 
ър 
bd 2 g 
- 
8 
bef 
- 
12 
b4f 
+ 
16 
bc 2 g 
- 
12 
bcdg 
-L 
12 
bdef 
- 
64 
c 2 eg 
+ 
16 
bV 
+ 
9 
bed/ 
- 
64 
beef 
+ 
18 
be 3 
+ 
36 
cp 
+ 
9 
bef 
- 
12 
bee 2 
- 
42 
bd 2 f 
- 
96 
c 2 dg 
- 
8 
cd 2 g 
- 
12 
bede 
- 
76 
bd 2 e 
+ 
56 
bde 2 
+ 
60 
c 2 ef 
- 
42 
edef 
- 
76 
bd 3 
+ 
48 
c 3 f 
+ 
36 
chg 
- 
12 
cdf 
+ 
56 
ce s 
+ 
48 
c 3 e 
+ 
48 
c 2 de 
+ 
4 
c 2 df 
*+• 
60 
edè 2 
+ 
4 
df 
+ 
48 
c4 2 
— 
32 
cd 3 
- 
16 
c 2 e 2 
- 
99 
d 3 e 
— 
16 
d 2 e 2 
- 
32 
cd 2 e 
+ 
84 
d i 
— 
32 
+ 
142 
+ 
168 
+ 
263 
+ 
168 
+ 
142 
K=( \x,yf 
X e 
x 5 y 
x i y' 2 
я?у 3 
x > y i 
xy 5 
y 6 
a 2 dg + 
i 
a 2 eg + 
2 
«fg 
a 2 g 2 
a bg 2 
a eg 2 
- 
2 
adg 2 — 
1 
cf - 
1 
P - 
2 
a beg + 
10 
a bfg 
cfg 
- 
10 
dfg 
+ 
2 
cfg + 
3 
a beg — 
3 
a bdg — 
2 
ЪР - 
10 
ceg 
deg 
+ 
15 
chg 
+ 
6 
P - 
2 
bdf - 
2 
bef + 
2 
edg — 
15 
cP - 
20 
df 2 
+ 
10 
cp 
- 
6 
a°bcg 2 + 
1 
be 2 + 
5 
c 2 g - 
6 
cef - 
5 
d 2 g 
ef 
- 
15 
a°b 2 g 2 
+ 
2 
bdfg + 
2 
cf + 
9 
cdf + 
28 
d~J + 
60 
def + 
60 
ddrfg 
+ 
10 
bef g 
- 
2 
bëhg - 
9 
ede — 
17 
ce 2 - 
26 
de 2 — 
40 
6 3 — 
40 
bceg 
5 
bdeg 
- 
28 
bef 2 + 
6 
d 3 + 
8 
d 2 e + 
4 
a% 2 dg — 
10 
a°b 2 eg + 
20 
bef 2 
- 
30 
bdf 2 
-f. 
32 
cfg - 
5 
a°b 3 g + 
2 
a°b 2 cg + 
6 
b 2 ef + 
30 
ър 
bd 2 g 
- 
60 
bef 
- 
6 
cdeg+ 17 
b 2 cf - 
6 
b 2 df- 
32 
bc 2 g + 
15 
bcdg— 
60 
bdef 
+ 110 
c 2 eg 
+ 
26 
cdf 2 - 
2 
b 2 de + 
2 
b 2 e 2 + 
36 
bedf — 
110 
beef 
b# 
- 
45 
cf 2 
- 
36 
cef - 
6 
bc 2 e + 
6 
bef + 
6 
bee 2 + 
15 
bdf 
c 2 dg 
+ 
40 
cd 2 g 
- 
4 
dhg - 
8 
bed 2 - 
4 
bede- 
58 
bd 2 e + 
40 
bde 2 + 
20 
c 2 ef 
- 
15 
edef 
+ 
58 
d 2 ef + 
4 
c 3 d 
bd 3 + 
32 
cf + 
45 
chg + 
40 
cdf 
- 
40 
ce 3 
- 
30 
dé 3 . 
c 3 e + 
30 
c 2 de — 
25 
c 2 df- 
20 
ede 2 
+ 
25 
df 
- 
32 
c 2 d 2 - 
20 
cd 3 
c 2 e 2 
d 3 e 
d 2 e 2 
+ 
20 
cd 2 e 
d 4 
+ 33 
+ 146 
+ 215 
+ 140 
+ 215 
+ 146 
+ 33
	        
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