142] NUMERICAL TABLES SUPPLEMENTARY TO SECOND MEMOIR ON QUANTICS. 277
of bottom terms of each of the preceding columns: thus in the af- or quintic table
the complete column for degree 3 would be
D 3
W 8-7
-0 6
-1 6
-2 5
-3 4
-4 3
-5 ~2~
-6 1
-7 1
where the concluding terms 2, 1, 1 are the bottom terms of the three preceding
columns respectively. And the meaning is that for degree 3, and weight 8, or 7, the
number of terms is = 6; for weight 7 — 1, =6, the number of terms is = 6 ; and
similarly for weights 5, 4, 3, 2, 1, 0 the numbers are 5, 4, 3, 2, 1, 1; the numbers are
those of the terms
w.
0
l
2
3
4
5
6
7
8
a 3
a?b
a 2 c
aH
a 2 e
«*/
abf
acf
adf
air
abc
abd
abe
ace
ade
ae 2
b 3
ac 1
acd
ad 2
by
bef
b 2 c
Wd
We
Wee
bde
be 2
bed
bd 2
c 3 e
c 3
chi
cd 2
No.
l
l
2
3
4
5
6
6
6
The like remarks and explanations apply to the other tables.
ad-TABLE.
D 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
0 2-1 3
5-4
6
8-7
9
11-10
12
14-13 15
17-16
18
20-19
21
23-22
24
26-25
27
1 1 2
3
5
6
8
10
13
15
18
21
25
28
32
36
41
45
50
-0
—“L1_
3
4
6
8
10
12
15
18
21
24
28
32
36
40
45
50
-1
1
4
5
7
9
12
14
17
20
24
27
31
35
40
44
49
- 2
1
7
8
11
13
17
19
23
26
31
34
39
43
49
- 3
|
10
12
15
18
22
25
29
33
38
42
47
-4
1 14
16
20
23
28
31
36
40
46
-5
1
19
21
26
29
35
38
44
-6
L
24
27
32
36
42
-7
■| 30 33 39 -8
| 37 1 -»