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. 8)

64 
TABLES OF THE BINARY CUBIC FORMS &C. 
[496 
Det. 
Order 
4 x 
Classes 
on 
Charact. 
Compn. 
675 
0, - 1, 0, 675 
> 
1, 0, 675 
1 
0, 3, 2, - 24 
9, 3, 76 
d 
0, - 3, 2, 24 
9, - 3, 76 
d 2 
0, 2, 1, - 168 
4, 1, 169 
d 1 
0, 5, - 4, - 3 
- ip pp 
25, - 10, 31 
dd 1 
3, - 1, - 6, 0 
19, 3, 36 
d?d x 
0, - 1, 1, 168 
4, - 1, 169 
d? 
3, 1,-6, 0 
19, - 3, 36 
dd? 
0, - 5, - 4, 3 
> 
25, 10, 31 
d?d? 
N.B. For this last determinant — 4 x 675, there may possibly be other cubic classes 
based on a non-primitive characteristic; I have not ascertained whether such forms do 
or do not exist.
	        
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