COMPUTATIONAL PROBLEMS IN ABSTRACT ALGEBRA.

122 J. S. Frame
TABLE 2. The X&Y, block for even classes of A+
18 2133V7 1, 28, 35, 84, 50, 350. 300, 567, 210, 840~
1422
l”24
1422
1224
153
1WV
1223
1223
12*3u
1232
123”
129/3
vi
33/T
1332/i”
136/Z
Y/P
3%/i?!
135
1%
;,:,2
1.15/3. ,5
17
2%
4%
2%
4%
lI24
2’
42
lT33v
26v
26~
26
62/22v
62/P
w/4
uw
211325 1 4 11 20 10 -10 20 39 26 24
273 1 0 3 4 2 -2 0 -1 2 0
2’032 1 8 7 4 -2 26 8 15 6 16
26 1 2 1 0 0 0 -2 -1 0 0
27355 1 10 14 21 5 35 30 81 39 -24
2’33 1 2 6 5 -3 -5 6 9 7 8
263e 1 -2 2 5 1 -1 2 -3 -1 0
243 1 0 0 1 -1 1 0 -1-l 0
253’ 1 2 -2 1 1 -1 2 -3 3 4
2434 1 1 2 3 5 -1 -6 0 3 3
243” 1 1 2 -1 1 -1 2 0 -1 3
2 33 1 1 2 0 -1 -1 0 0 0 0
33 1 1 -1 0 -1 -1 0 0 0 0
2”35 1 1 -1 3 -4 -1 3 0 -6 3
2433 1 5 3 -1 0 7 3 0 -2 -1
233t 1 -1 1 1 -2 -1 -1 0 0 1
26355 1 10 5 -6 5 35 30 0 -15 30
2L3e 1 2 1 -2 1 -1 2 0 -3 -2
23352 13 5 4 0 0 0 7 5-5
23 5 1 -1 1 0 0 0 0 -1 1 -1
2 35 1 0 -1 1 0 0 0 l-l 1
2235z 1 3 0 -1 0 0 0 -3 0 0
35 10 o-1 0 0 0 0 0 0
27 10 0 0 1 o-1 0 0 0
2133” 1 -4 3 20 18 -2 12 -9 -14 8
210 I o -1 4 6 2 0 -1 -2 0
2113 1 -4 3 4 2 -2 12 -9 2 8
21 1 0 -1 0 2 2 0 -1 2 0
26 1 -2 1 0 0 0 2 -1 0 0
210325 1 4 -5 4 10 -10 20 -9 10 -40
2s3 1 0 -1 0 2 -2 0 3 -2 0
2333 1 -1 0 -1 3 1 0 0 1 -1
2433 1 -1 0 5 3 1 0 0 -5 -1
243 1 -1 0 1 -1 1 0 0 -1 -1
2332 1 1 -2 1 1 -1 2 0 1 -1
2633 1 2 -3 2 -3 -5 6 0 1 -10
2532 1 -2 1 -2 1 -1 2 0 1 2
233 1 0 -1 0 -1 1 0 0 1 0
22 5 1 -1 0 -1 0 0 0 1 0 0
The characters of the Weyl group Es
TABLE 2 (continued)
700, 175, 1400, 1050, 1575, 1344, 2100, 2268, 525, 700, I
60 15 40
4 -1 0
-4 -1 -16
0 -1 0
55 -5 50
-1 -5 -6
3 3 -2
1 -1 0
-1 -1 2
4 4 5
0 0 1
-2 1 -1
1 1 -1
7 13 -4
-1 1 0
-1 -1 2
10 -5 50
2 -1 2
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
-4 -17 -72
-4-l 0
12 -1 -8
0 3 0
0 -1 0
-20 15 40
0 -1 0
2 -2 -3
-4 -2 -3
2 1
-ii 0 1
2 -5 -6
-2 3 -2
0 -1 0
0 0 0
50 15
2 -1
-10 11
0 1
15 90
-17 -6
-1 -6
-1 2
-1 2
6 0
2 0
0 0
0 0
-3 9
1 -3
-1 -1
15 -45
-1 -1
0 0
0 0
0 0
0 0
0 0
0 0
58 -57
-2 3
-6 -9
-2 -1
0 1
-30 15
-2 -1
-2 0
4 0
0 0
0 0
7 3
3 3
1 -1
0 0
64
0
0
0
84
4
4
0
0
-6
-2
0
-:
-2
0
-24
0
-1
-1
-1
4
1
0
64
0
0
0
0
0
0
-2
4
0
0
-8
0
0
0
123
-60 12 5 20 III
-4 -4 -3 0 XI
12 -12 -7 0 x v
0 0 -1 -2 XXXVII
75 81 30 -20 IV
-5 9 6 -4 XIV
3 -3 2 -4 IX
-1 -1 0 cl XXVII
3 -3 2 0 XXXII
3 0 3 7 x
3 0 -1 -1 XXVI
0 0 0 1 XL
0 0 0 1 LVIII
-6 0 12 -2 XXXVIII
-2 0 0 2 XL1
0 0 2 0 XL11
-60 0 30 -20 LVI
0 0 2 0 LIX
0 -2 0 0 XII
0 2 0 0 XXIX
0 1 0 0 xxx
0 3 0 0 LX
0 0 0 0 LXV
0 0 0 0 XXXIV
52 -36 45 92 XIII
-4 4 1 8 XXXVI
4 12 -19 -4 VIII
0 0 1 0 XXVIII
0 0 -1 2 xxxv
20 -36 5 20 LX1
0 0 -3 0 LX11
1 0 3 -1 xxx1
1 0 3 -1 xXx1x
1 0 -1 - 1 xxx111
-1 0 -1 - 1 LX111
4 0 6 -4 LVII
-4 0 2 -4 LXVI
0 0 0 0 LXVII
0 -1 0 0 LXIV
[continued on pp. 124, 1251