COMPUTATIONAL PROBLEMS IN ABSTRACT ALGEBRA.

124 J. S. Frame The characters of the Weyl group E8 125
l-15/3.5 3 5
17. 27
2% 21333
4% 2’0
2% 2113
4% 27
lI24 26
2” 21”325
42 263
lT33w 2333
26v 243”
26~ 243
26 2332
62/25v 2633
6a/P 2532
m/4 233
P)/Z 22 5
TABLE 2 (continued) TABLE 2 (continued)
18 213355=7 972, 4096, 4200, 2240, 2835, 6075, 3200, 70, 1134, 1680, 168, 420, 3150, 4200, 2688, 2100, 1400, 4536, 5670, 4480, I
1422 211325
l”24 273
1422 21°3z
l%i 26
153 27355
1mv 2733
1223 2632
1225 243
m3v 2532
1232 2434
1232 243”
12913 2 33
91 33
33/I 2435
133yi2 2433
136/Z 233”
F/T4 26355
3%/E? 2432
135 2335”
1% 23 5
:& 28352 2 35
36 0 40
0 0 0
0 0 -8
2 0 0
0 64 -30
0 0 -6
0 0 -2
0 0 0
0 0 -2
0 -8 -3
0 0 1
0 1 0
0 1 0
0 -8 15
0 0 3
0 0 1
0 64 -30
0 0 -2
-3 -4 0
1 0 0
0 -1 0
-3 -4 0
0 -1 0
-1 1 0
108 0 -24
8 0 -8
12 0 8
0 0 0
-2 0 0
36 0 40
0 0 0
0 0 3
0 0 3
0 0 -1
0 0 1
0 0 -6
0 0 -2
0 0 0
1 0 0
64 51 -45 0 -10 -18 -80
0 -5 3 0 -2
0 3 -9 0 14 306 3;
0 -1 1 0 2 -2
-4 -81 0 -40 10 0 6:
-4 -9 0 8 -6 0 -20
4 3 0 0 2 0 4
0 1 0 0 -2 0 0
0 3 0 0 2 0 -4
2 0 0 -4 4 0
-2 0 0 0 -4 0 -2”
2 0 0 -1 -2 0 0
-1 0 0 -1 1 0 0
-10. 0 0 14 -2 0 6
2 0 0 2 6 0 -2
0 0 0 0 2 0 2
-40 0 0 -40 19 81 6
0 0 0 0 -1 -3 2
-5 5 0 0 0 -6 0
-1 1 0 0 0 2 0
1 -1 0 0 0 0 0
0 0 0 0 5 4 -5
0 0 0 0 -1 1
0 0 -1
-64 -45 27 128 6 -18 16
0 3 -1 0 -2 -2 0
0 3-21 0 6 -18 16
0 -1 3 0 -2 -2 0
0 -1 1 0 2 -2 0
0 -45 -45 0 6 30 -16
0 3 3 0 2 2 0
2 0 0 -4 0 0 -2
-4 0 0 -4 0 0 -2
0 0 0 0 0 0 -2
0 0 0 0 0 0.2
8 0 0 8 3 9 -2
0 0 0 0 3 -3 2
0 0 0 0 -1 0
0 0 0 0 1-i-1
8 20 30 40 0 -60 -40 -72 -90 0 III
0 -4 -2 0 0 -4 0 0 6 0 XI
8 12 22 24 0 -20 -8 -24 6 0 xv
0 0 2 0 0 0 0 0 -2 0 XXXVII
-12 -30 -90 -120 -48 30 20 0 0 -80 IV
4 2 6 8 -16 14 4 0 0 16 XIV
-4 2 6 -8 0 6 -4 0 0 0 IX
0 2 -2 0 0 2 0 0 0 0 XXVII
-4 -6 -2 0 0 -2 4 0 0 0 xxx11
6 6 0 6 -12 12 8 0 0 4 x
2 2 0 -2 0 0 -4 0 0 0 XXVI
0 0 0 0 0 0 2 0 0 -2 XL
0 0 0 0 0 0 -1 0 0 1 LVIII
6 -12 18 -12 -12 -6 14 0 0 - 20 xxxvr11
-2 -4 -6 -4 -4 2 -2 0 0 4 XL1
2 0 -2 0 0 -2 -2 0 0 0 XL11
15 24 45 15 60 30 65 81 -81 -44 LVI
-1 0 1 3 0 -2 1 -3 3 0 LIX
-2 0 0 0 8 0 0 6 0 0 XII
-2 0 0 0 0 0 0 -2 0 0 XXIX
-2 0 0 0 2 0 0 0 0 0 xxx
3 5 0 0 3 0 0 1 5 -5 LX
0 -1 0 0 0 0 0 1 -1 1 LXV
0 0 0 0 0 0 0 0 0 0 XXXIV
40 -28 -114 104 128 116 -8 -72 -90 128 XIII
8 -4 6 -8 0 -4 -8 8 6 0 XXXVI
8 4 -18 8 0 -12 24 24 6 0 VIII
0 4 -2 0 0 -4 0 0 -2 0 XXVIII
0 0 2 0 0 0 0 0 -2 0 xxxv
24 36 30 -40 64 20 40 -24 6 64 LX1
4 0 -2 -4 0 0 4 -4 -2 0 LXII
, 4 -4 0 2 2 2 -2 0 0 -2 xxx1
-2 2 0 2 -4 -4 4 0 0 4 XXXIX
2 -2 0 2 0 0 0 0 0 0 XXX111
0 0 0 2 -2 2 -2 0 0 -2 LX111
7 8 -3 -1 -4 -10 1 9 -9 4 LVII
3 0 -3 -1 4 2 1 -3 3 4 LXVI
1 0 1 -1 0 0 1 -1 1 0 LXVII
-1 1 0 0 -1 0 0 1 1 -1 LXIV