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.