424
A MEMOIR ON THE SYMMETRIC FUNCTIONS
[147
IV (a).
4
13
2 2
1*2
l 4
II
e
bd
c 2
b 2 c
6 4
(1)
+ 1
(31)
+ 1
+ 4
(2 2 )
+ 1
+ 2
+ 6
(2P)
+ 1
+ 2
+ 5
+ 12
(l 4 )
+ 1
+ 4
+ 6
+ 12
+ 24
IV (b).
4
13
2 2
1 2 2
l 4
=
e
bd
c 2
b 2 c
5 4
(I)
- 4
+ 4
+ 2
- 4
+ 1
(31)
+ 4
- 1
- 2
+ 1
(2 2 )
+ 2
— 2
+ 1
(2P)
- 4
+ 1
(l 4 )
+ 1
Y (a). Y (b).
II
5
/
14
be
23
cd
1 2 3
Ifd
12 2
be 2
P2
b 3 c
l 8
b 5
—
5
/
14
be
23
cd
P3
b 2 d
12 2
be 2
1 3 2
b 3 c
l 5
If
(5)
- 1
(5)
- 5
+ 5
+ 5
- 5
- 5
+ 5
- 1
(41)
- 1
- 5
(41)
+ 5
- 1
- 5
+ 1
+ 3
- 1
(32)
- 1
- 3
- 10
(32)
+ 5
- 5
+ 1
+ 2
- 1
(3P)
- 1
— 2
— 7
- 20
(3P)
- 5
+ 1
+ 2
- 1
(2 2 1)
- 1
— 2
- 5
- 12
- 30
(2 2 1)
- 5
+ 3
- 1
(2P)
- 1
- 3
- 7
- 12
- 27
- 60
(2P)
+ 5
- 1
(l 5 )
- 1
- 5
- 10
- 20
- 30
- 60
- 120
(P)
- 1
VI (a).
II
6
9
15
¥
24
ce
1 2 4
b 2 e
3 2
d 2
123
bed
1*3
b 3 d
2 3
c s
1 2 2 2
b 2 c 2
1 4 2
bV
P
b*
(6)
+
1
(51)
+
1
+
6
(42)
+
1
+
4
+
15
(3 2 )
+
1
+
2
+
6
+
20
(4P)
+ 1
+
2
+
9
+
30
(321)
+
1
+ 3
+
3
+
8
+
22
+
60
(2 3 )
+ 1
+
3
+ 6
+
6
+
15
+
36
+
90
(3P)
+ 1
3
+ 10
+
6
+
18
+
48
+
120
(2 2 1 2 )
+ 1
+ 2
+ 2
+
8
+ 18
+
15
+
34
+
78
+
180
(21 4 )
+ 1
+ 4
+ 9
+ 6
+
22
+ 48
+
36
+
78
+
168
+
360
(P)
+ 1
+ 6
+ 15
+ 30
+ 20
+
60
+ 120
+
90
+
180
+
360
+
720
VI (b).
—
6
9
15
¥
24
ce
1 2 4
b 2 c
3 2
d 2
123
bed
1 3 3
b 3 d
2 3
c 3
1 2 2 2
b 2 c 2
1 4 2
bV
l 6
b 6
(6)
-
6
+
6
+ 6
- 6
+ 3
- 12
+ 6
— 2
+ 9
- 6
+ 1
(51)
+
6
-
1
- 6
+ 1
- 3
+
7
- 1
+ 2
- 4
+ 1
(42)
+
6
-
6
+ 2
+ 2
- 3
+
4
- 2
- 2
+ 1
(3 2 )
+
3
-
3
- 3
+ 3
+ 3
-
3
+ 1
(4P)
-
6
+
1
+ 2
- 1
+ 3
-
3
+ 1
(321)
- 12
+
7
+ 4
- 3
- 3
+
1
(2 3 )
-
2
2
- 2
+ 1
(31 3 )
+
6
-
1
- 2
+ 1
(2 2 1 2 )
+
9
-
4
+ 1
(21 4 )
-
6
+
1
(P)
+
1
(7)
(61)
(52)
(43)
(51 2 )
(421)
(3 2 1)
(32*)
(H 3 )
(321 2 )
(2 3 1)
(3U)
(2 2 1 3 )
(21 5 )
(l 7 )
