Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 6)

308 
ON THE CONDITIONS FOR THE EXISTENCE 
[409 
17. The seven Tables are 
cSl 
First Table. 
633 a® 
a.1234 
d 3 bf 
+ 
3 
+ 
33 
a?ce 
4- 3 
— 
102 
— 
16 
a 3 d 2 
— 
216 
+ 
36 
a 2 be 2 
+ 
21 
+ 
135 
+ 
16 
a 2 bcd 
- 12 
— 
144 
+ 
120 
— 
152 
a 2 c 3 
- 16 
+ 
480 
+ 
96 
ab 3 d 
+ 
30 
— 
150 
+ 
80 
ab 2 c 2 
+ 50 
+ 
240 
— 
300 
— 
60 
6 4 c 
-25 
150 
+ 66 
_ 
11 
+ 
1 
+ 
6 
Second Table. 
c?9l c33 6® a® №.1235 6.1234 
Third Table. 
eSl 
d33 
c® 
6® 
a® 
c.1234 
6.1235 
a.1245 
a.1236 
a 3 df 
+ 3 
- 90 
- 6 
+ 6 
a 3 e 2 
+ 3 
- 195 
+ 16 
a 2 bcf 
+ 33 
+ 10 
+ 360 
- 4 
+ 6 
- 22 
a 2 bde 
-12 
+ 21 
- 390 
-1500 
+ 24 
-26 
- 6 
a 2 c 2 e 
- 16 
-102 
+ 900 
- 16 
-96 
+ 16 
a 2 cd 2 
-144 
-216 
+ 1800 
+ 36 
+ 96 
ab 3 f 
+ 155 
. + 225 
+ 4 
+ 16 
ab 2 ce 
+ 50 
+ 135 
+ 100 
+ 16 
- 84 
+ 90 
- 10 
ab 2 d? 
+ 30 
- 600 
-1500 
- 24 
-80 
abc 2 d 
+ 240 
+ 120 
+ 1600 
-152 
+ 64 
ac 4 
+ 480 
+ 96 
6 4 e 
-25 
+ 125 
+ 60 
b 3 cd 
- 150 
-150 
-1000 
+ 80 
- 40 
b 3 c 3 
-300 
- 60 
+ 266478575 
-617359490 
+144200810 
+9656911 
+ 9090785 
-721004050 
+90914175 
-160758675 
+ 11559295
	        
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