[496 
496] 
FOR THE NEGATIVE DETERMINANTS &C. 
63 
Compn. 
3cr 
Table III. of the binary cubic forms the determinants of which are the negative numbers 
— 972, — 1228, 1336, —1836 et —2700. (—4 x 675 = — 2700 is beyond Arndt’s Tables.) 
a 
Det. 
Order 
ad 
4 x 
Classes 
on 
Charact. 
Compn. 
ad* 
243 
0, - 1, 0, 243 
ip 
1, 0, 243 
1 
0" 
1, - 1, - 6, 0 
PP 
7, 3, 36 
d 
1, 1, - 6, 0 
PP 
7, - 3, 36 
d 2 
3(7* 
0, 2, 1, - 30 
ip 
4, 1, 61 
d 1 
2, 3, - 2, - 5 
pp 
- 
pp 
13, - 2, 19 
dd 1 
0, 3, 2, - 8 
PP 
9, 3, 28 
d*d 1 
(7 
0, - 2, 1, 30 
ip 
4, - 1, 61 
d* 
ad 
0, - 3, 2, 8 
PP 
9, - 3, 28 
dd* 
ad 2 
2, - 3, - 2, 5 
pp j 
13, 2, 19 
d*d* 
cr 
307 
0, - 1, 0, 307 
1, 0, 307 
1 
<7 
1, 1, - 6, - 8 
7, 1, 44 
d 
a 
1, - 1, - 6, 8 
7, - 1, 44 
d 2 
0, 2, 1, - 38 
4, 1, 77 
d 1 
a 
1, - 3, - 2, 8 
- PP 
pp 
11, - 1, 28 
dd x 
a 
4, 1, - 4, - 3 
17, 4, 19 
d*d x 
a 
0, - 2, 1, 38 
4, - 1, 77 
d* 
a 
4, - 1, - 4, 3 
17, - 4, 19 
dd* 
2, 8 
339 
459 
11, 1, 28 
d-d* 
0, - 
- 1, 0, 339 
ip 
1, 0, 339 
1 
0, - 7, - 4 
pp 
7, 2, 49 
d 
0, - 7, 4 
pp 
7, - 2, 49 
d* 
2, 1, - 42 
ip 
4, 1, 85 
d\ 
0, - 5, - 4 
pp 
>- pp 
15, 6, 25 
dd x 
- 3, - 2, 8 
pp 
13, - 5, 28 
d*d 1 
- 2, 1, 42 
ip 
4, - 1, 85 
d* 
3, - 2, - 8 
pp 
13, 5, 28 
dd* 
0, - 5, 4 
PP) 
15, - 6, 25 
d*d* 
- 1, 0, 459 
ip ' 
1, 0, 459 
1 
3, 2, - 16 
pp 
9, 3, 52 
d 
- 3, 2, 16 
pp 
9, - 3, 52 
d 2 
2, 1, - 57 
ip 
4, 1, 115 
d-y 
4, - 3, - 4 
pp 
- pp 
19, - 4, 25 
ddy 
- 1, 6, 0 
pp 
13, 3, 36 
d 2 dy 
- 2, 1, 57 
ip 
4, - 1, 115 
d* 
1, - 6, 0 
pp 
13, - 3, 36 
dd? 
-4,-3, 4 
pp 
19, 4, 25 
d?d* 
- 3, 0, 17 
pp 
3 pp 
3 (3, 0, 17)