PEOFESSOE CAYLEY’S EIGHTH MEMOIE ON QUANTICS. 515 
Table No. 81. 
Table for the number of the Asyzygetic Covariants of any order, to the degree 18. 
0 1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
1 
0 
0 
1 
0 
2 
0 
3 
0 
3 
4 
1 1 
0 
1 
0 
1 
2 
1 
1 
1 
4 
2 
2 
3 
6 
4 
4 
9 
0 
1 
] 
3 
4 
5 
7 
8 
1 
0 
1 
2 
2 
i 
3 
4 
5 
3 
6 
7 
8 
6 
10 
1 11 
13 
9 
1 
1 
4 
3 
7 
7 
10 
12 
13 
11 
16 
18 
1 
4 
5 
8 
| 
0 
1 
2 
3 
2 
4 
6 
7 
6 
9 
11 
13 
11 
16 
18 
20 
18 
1 
i 
4 
5 
10 
10 
14 
17 
19 
18 
23 
26 
1 
2 
5 
7 
11 
2 
2 
3 
7 
8 
15 
16 
16 
20 
24 
26 
0 
4 
8 
11 
27 
1 
i 
2 
4 
5 
5 
8 
11 
13 
13 
17 
21 
24 
23 
29 
33 
i 
9 
7 
9 
16 
19 
19 
24 
29 
32 
2 
4 
8 
12 
32 
0 
i 
3 
4 
5 
7 
11 
13 
14 
18 
23 
26 
27 
33 
39 
1 
, 
2 
3 
6 
8 
9 
12 
17 
19 
21 
26 
32 
36 
37 
0 
2 
3 
4 
6 
10 
12 
14 
18 
24 
27 
29 
35 
42 
1 
1 
2 
5 
6 
8 
11 
16 
19 
21 
26 
33 
37 
40 
1 
2 
3 
5 
9 
11 
13 
17 
23 
27 
30 
36 
44 
0 
i 
3 
5 
6 
9 
14 
17 
20 
25 
32 
37 
40 
l 
i 
2 
3 
7 
9 
12 
15 
22 
25 
29 
35 
44 
0 
2 
3 
5 
7 
12 
15 
18 
23 
31 
35 
40 
1 
i 
2 
5 
9 
13 
19 
23 
27 
33 
42 
i 
2 
3 
5 
10 
12 
16 
20 
28 
33 
38 
0 
1 
3 
7 
10 
16 
20 
24 
30 
39 
1 
_ 
13 
25 
35 
1 
1 
3 
7 
10 
17 
29 
0 
2 
3 
5 
7 
13 
16 
21 
26 
36 
. 
10 
21 
31 
1 
* 
a 
5 
7 
14 
26 
10 
17 
22 
3! 
* 
„ 
3 
5 
13 
0 
3 
5 
7 
10 
17 
21 
27 
1 
7 
14 
1 
2 
3 
10 
18 
0 
2 
3 
5 
7 
13 
17 
22 
1 
2 
5 
7 
10 
14 
22 
. 
' 
3 
10 
18 
1 
2 
5 
13 
0 
1 
3 
5 
7 
10 
17 
1 
1 
2 
3 
7 
10 
14 
2 
5 
13 
0 
1 
5 
10 
1 
1 
2 
3 
7 
10 
2 
5 
0 
i 
3 
7 
1 
i 
2 
3 
7 
2 
5 
0 
■ i 
1 
3 
„ 
5 
1 
2 
3 
0 
1 
3 
1 
1 
2 
2 
0 
1 
1 
1 
0 
1 
4 a 2 
