MR. A. CAYLEY’S SECOND MEMOIR UPON QUANTICS. 
125 
No. 23. 
a?by^ 
+ 
1 
Pcf 
— 
1 
Pdf 
Pef 
+ 
1 
cdcef 
— 
5 
a'def 
+ 
1 
PPf 
— 
1 
abdf 
— 
3 
eddy 
+ 
4 
PP' 
+ 
5 
abef 
+ 
1 
abpf 
+ 
2 
(dd^ 
— 
1 
aPf 
— 
8 
abdef 
+ 
3 
aPf 
— 
1 
aVef 
+ 
8 
abcef 
+ 
3 
abe^ 
— 
14 
aedef 
+ 
14 
abedf 
+ 
11 
abdy 
— 
11 
aPef 
+ 
8 
acP 
— 
11 
abce^ 
— 
17 
abdp 
+ 
11 
aedy 
+ 
9 
ady 

1 
abd'^e 
— 
11 
aPdf 
+ 
6 
aedP' 
— 
6 
ad^e^ 
— 
9 
acy 
— 
16 
aPP 
— 
6 
ad^e 
— 
2 
Pef 
+ 
14 
a(?de 
+ 
44 
acd^e 
— 
4 
Pf 
+ 
11 
Pdef 
— 
6 
acd^ 
— 
18 
ad‘^ 
+ 
17 
Pcef 
— 
9 
PP 
— 
8 
Pdf 
— 
3 
Pef 
+ 
16 
pdy 
+ 
1 
bPef 
+ 
9 
Pe‘ 
— 
6 
Pedf 
— 
21 
PdP 
— 
14 
bedy 
+ 
6 
b\y 
+ 
21 
PeP 
— 
44 
bPdf 
+ 
16 
bedp 
— 
16 
Pede 
— 
5 
Pd~e 
+ 
5 
bPP 
— 
3 
bd^e 
+ 
8 
Pd^ 
+ 
6 
bPf 
+ 39 
bed^e 
+ 
6 
Pdf 
+ 
3 
bPe 
— 
39 
bpde 
— 
12 
bd^ 
8 
c^P 
_ 
2 
bPd^ 
+ 
22 
bed^ 
+ 
18 
df 
+ 
2 
Pd'^e 
Pd 
+ 
12 
Pe 
— 
22 
Pde 
cd* 
— 
8 
Pd‘ 
+ 
8 
Pd^ 
No. 24. 
Pef 
V5» Pf 
a^f 
- 1 a^cf 
+ 1 Pdf 
Pef 
pf 
abf 
Pbdf 
v5» Pbef 
— 3 Pcef 
+ 7 Pdef 
— 1 PPf 
+ 3 abdf 
abef 
acef 
^ PbP 
+ 7 Pedf 
+ 12 Pdy 
- 6 a^e^ 
— 7 abef 
— 3 abPf 
— 7 aedf 
"+ 7 acPf 
-2 ady^ 
+2 Pey 
— 10 PeP 
— 9 PdP 
+ 1 aPf 
+ 26 abdef 
— 12 aPf 
+ 4 adey 
— 5 Pe de 
+ 3 Pd'^e 
+ 3 aPef 
— 26 abcef 
+ 32 abdy 
— 19 abP 
+ 18 aedef 
+ 7 ad'^ef 
— 2 ap 
-|- 3 ord^ 
- 7 aPdf 
— 18 abedf 
— 32 ac^ef 
+ 6 ace^ 
— 7 ade^ 
^ Pef 
— 4 aPef 
+ 10 aPP 
— 18 abeP 
— 8 abde^' 
+ 18 aedy 
+ 3 ady 
+ 10 Pdf 
+ 5 bedf 
+ 5 aPde 
— 7 abey 
+ 30 abd‘e 
-18 aPdf 
+ 53 aedP 
— 15 ad‘^P 
-10 Pey 
— 5 bePf 
+ 5 abe^e 
— 8 abode 
— 3 acy 
+ 6 aPe‘' 
— 39 ad^e 
+ 9 Pef 
- 3 bP^f 
— 5 bd~ef 
— 7 abed^ 
+ 9 abd^ 
+ 45 ac^de 
+ 52 acd'^e 
+ 6 Pf 
+ 18 Pdef 
+ 8 bedef 
+ 5 bde^ 
+ 1 ac^d 
+ 22 ac^e 
— 39 acd^ 
-39 ad'^ 
+ 8 Pcef 
-27 PP 
— 2 bce^ 
-3 cy^- 
+2by 
— 19 aPd"^ 
- 6 Pdf 
+ 19 Pef 
- 6 Pdf 
-30 bPef 
-22 bdy 
+ 7 c^def 
— 5 Pee 
+ 7 Pef 
+ 27 PP 
— 53 Pedf 
-20 PdP 
-45 bedy 
+ 19 bd^P 
+ 2 cV 
-2 PP 
+ 2 P de 
+ 15 Pey 
+ 20 PeP 
+ 45 bPdf 
+ 87 bede^ 
— 9 Pef 
-1 edy 
+ 8 Pc"d 
— 19 PPe 
-87 Pede 
— 25 Pd^e 
+ 25 bPP 
-12 bd\ 
+ 19 cvy 
— 8 ed~e^ 
-3 bP 
-11 Ped"^ 
+ 33 bPd 
-12 P 
+ 6 Pd^ 
+ 12 bc^e 
+ 57 be'^d^ 
-24 c*d 
+ 39 bPf 
— 45 bP^de 
+ 65 bed^ 
c^e 
-20 Pd^ 
— 52 bcd‘^e 
bd^ 
+ 39 Pf 
— 65 c^de 
+ 20 Pd^ 
+ 39 Pdf 
— 6 
— 57 Pd'^e 
+ 24 cd'^ 
+ 11 cW 
-33 cd^e 
+ 12 d^ 
+ 3 d*e 
No. 25. 
■O’ a^hcf^ 
+ 1 a^cdf^ 
- 1 a^cey^ 
~ 3 a^d^ef^ 
+ 5 cddey 
— 2 
- 1 a^h'^df 
+ 1 
- 3 
+ 11 od'hcdef^ 
- 5 (dhcey 
+ 12 a^dy^ 
-30 a^hd'^ey 
+ 15 a^^hde^ 
+ 
12 
a^chf 
— 
21 
aWf 
— 
34 
PPdPf 
+ 
22 
PPe* 
+ 
78 
Ped^ef 
— 
48 
oded'^e^ 
— 
27 
Pdy 
+ 
18 
Pd^e‘‘ 
+ 
5 
aPef 
— 
5 
aPdef 
aPey 
— 
30 
aPe^ef 
— 
34 
aPedy^ 
+ ■ 
133 
aPedPf 
— 
54 
aPee* 
— 18 ah^d^ef 
+ 3 ah^d^e^ 
+ 78 abc^dy 
— 18 ahc^ey 
— 210 abc^d'^ef 
+ 106 ab(?de^ 
+ 93 ahcd\f 
— 30 abcd^e^ 
— 9 abd^e 
— 17 ac^f'^ 
+ 93 ac^def 
— 38 ac‘*e® 
— 42 ac^dy 
+ 8 ac^d^e^ 
+ 6 a(?d^e 
V 
acd^ 
— 
2 
Pf 
+ 
15 
Pcef 
+ 
18 
Pd^f 
— 
54 
Pdey 
+ 
27 
PP 
— 
48 
PPdf 
+ 
3 
PePf 
+ 106 
Ped’^ef 
— 
81 
PedP 
— 
38 
Pdf 
+ 
38 
Pdh‘ 
+ 
18 
Pc\f 
— 
30 
PPdef 
+ 
38 
PPP 
+ 8 
ppdy 
+ 25 
PeWP 
-57 
Pcd*e 
+ 18 
Pd^ 
- 9 
bPef 
+ 6 
bc*dy 
-57 
bc*dP 
+ 38 
bPdh 
— 24 
bc-d^ 
Pdf 
+ 18 
c^’P 
-24 
c^d~e 
+ 8 
Pd* 
MDCCCLVI. 
S 
