COMPUTATIONAL PROBLEMS IN ABSTRACT ALGEBRA.

E
TABLE 3. The X,, character block for odd classes of A not in A”
Is 1, 28, 35, 84, 50, 350,300,567,210,840,700,175,1400,1050,1575, 1344,2100,2268,525,700,,972~4096,4200,2240,2835,6075,3200,
162 1 14 21 42 20 70 90 189 84 84 210 35 280 210 315 336 210 378 105 70 162 512 420 336 189 405 160
1225 l-2 5 10 4 -10 10 -3 4 20 18 3 -8 2 -21 16 -14 -6 -7 -10 18 0 4 16 -3 -21 32
122 2’ 1 2 1 2 0 2 -2 -3 0 4 2-5 o-2 7 0 -6 -6 -3 -6 6 0 -4 0 -3 9 0
144 1 6 9 10 0 10 10 29 16 -4 10 -5 0 -10 15 16 10 10 5 -10 -6 0 -20 -16 -19 -15 0
131 4 1 0 3 2-2 -4 0 1 2 0 -2 -1 0 -4 -3 O - 2 2 3 0 0 0 0 0 1 3 0
132 3 1 2 6 9 5 -5 0 9 9 -6 15 5 10 15 0 6 -15 -9 0 10 0 -16 0 6 9 0 -20
12123 l-2 2 1 1 -1 4 -3 1 2 3 -3 -2 -1 o-2 1 3-4 2 0 0 4 -2 -3 0 -4
132 3 1 4 4 1 - l 5 2 3 1 2 -3 1 -4 -1 0 -2 l-3 -2 2 0 0 2 2 3 0 0
134 1 0 0 1 3 l-2 -1 1 2 1 1 0 -1 o-2 11 2 2 0 0 -2 2-l 0 0
134 1 0 o-1 1 -1 0 1 -1 0 l-l o-1 0 0 l-10 00 0 0 0 10 0 4
2 32 l-l 0 3-l 1 0 0 -3 3 0 2 1 0 0 0 3 0 3 -5 0 -4 3 0 0 o-2 h
1*6 1 1 2 1 1 - 1 - 2 0 1 - 1 0 0 1 2 o - 2 1 0 -1 -1 0 0 l-2 0 0 2
2 913 l-l 0 o-1 1 0 0 0 00-l 10 0 0 000 10-l 0 0 0 0 1 a
2 33/P 1 5 3-3 2 7 9 O-6 3 3 -1 10 3 -9 -6 -6 0 6 -2 0 8 -3 -6 0 o-2 2
63/I 1 1 -1 1 -2 -1 1 o-2 -1 3 3 -2 -1 3 -2 -2 0 2 2 0 0 l-2 0 0 2
236/I21 -1 l-l 0 -1 1 0 0 l - 1 1 0 1 1 0 0 0 0 0 0 o-1 0 0 0 0
125 l-l 1 2 0 0 0 -1-1-1 0 0 0 0 0 1 o-2 0 o-1 2 0 1 -1 0 0
125 1 l-l 0 0 0 o-1 1 100 0 0 0 1000 o-1 0 o-1 1 0 0
2 3 5/P 1 2 l-l 0 0 o-1-1-1 0 0 0 0 0 1 0 1 0 0 0 -1 0 1 -1 0 0
2 7/I 1 0 0 o-1 o-1 0 0 000 0 0 0 0 0 0 0 0 1 1 0 0 0 -1 -1
224v l-2 1 10 8 2 2 -3 -8 -4 -6 -5 -16 14 -9 16 10 -6 13 14 18 0 -4 -16 -3 9 0
224u l-2 1 2 0 2 2 -3 0 -4 2 3 0 -2 -1 0 2 2 -3 -2 2 o-4 0 5 10
224 1 2 -3 2 4 -2 6 -3 4 -4 -6 3 8 -6 3 0 2-6 1 2 6 0 4 0 -3 -3 0
233v 1 1 -2 1 -1 -1 2 0 1 -1 0 -2 -1 2 o - 2 1 0 1 -1 0 o-1 2 0 0 0
116 l-l o-1 1 1 0 0 1-l 0 0 -1 0 0 o-1 0 l-10 0 10 0 0 0
8w 1 0 - 1 2 2 0 0 1 -2 o-2-1 0 0 1 0 -2 2 -1 0 0 0 0 0 1 -1 0
814 1 0 - 1 0 0 0 0 1 0 0 0 1 0 0 -1 0 0 o-1 0 0 0 0 o - 1 1 0
TABLE 4. The Z, W,, character block for even classes of F+.
8, 56, 160, 112, 840, 1296, 1400, 1008, 560,1400,, 4200, 400, 3240,4536,2400s 3360, 2800, 4096, 5600, 448, 448,1344,5600,2016,7168,
4 -4 16 24 4 -24 60 24 56 60 20 40 84 60 -80 16 -40 0 -80 32 -32 32 -80 48 0
2 -2 0 4 2 -4 -2 -4 4-2 2 4 2 -2 0 0 -4 0 0 0 0 0 8-8 0
4 12 16 8 20 24 -4 8 8 -4 4 -8 -12 12 16 -16 -24 0 -16 0 32 32 16 16 0 $j
2 2 0 o-2 o-2 0 o-2-2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 m
5 11 34 31 21 81 95 90 74 - 25 -75 25 81 -81 60 -6 55 64 20 16 28 -60 -10 -90 -128 g
3-3 6 9 3-9 9 6 6 -15 3 -9 -9 9 -12 -18 9 0 12 0 -12 12 -6 -6 0 2
1 -1 -2 3 1 -3 3-6 2 3 -7 1 -3 3 4 -2 -1 0 4 8 4 -4 -2 6 0 2
1 -1 0 -1 1 1 -1 -2 2 -1 1 -1 l-l 0 0 10 0 0 0 o-2 2 0 2
1 3 -2 -1 5 -3 -1 2 2 -1 1 l-3 3 4 2 3 0 -4 0 -4 -4 -2 -2 0 cl
2 2 -2 4 -6 O-4 0 2 8 6 10 0 0 6 -6 10 -8 2-2 4 12 -4 0 -8 q
2-2 2 0 2 0 0 0 -2 0 -2 2 0 0 2 2 -2 0 2 -2 -4 4-4 0 0 s
2-l 1 1 0 0 -1 0 -1 2 o-2 0 0 0 0 1 1 -1 l-2 0 2 0 -2 m
1 l-l -1 0 0 1 0 1 1 o-1 0 0 0 0 -1 -1 1 -1 -1 0 1 0 -1 p
1 -2 2 -4 -3 0 4-9 7 13 -15 -4 0 0 3-12 8 8 -11 -16 2 6 -2 -18 32 c
3 6 6 0 3 0 0 -3 -3 3 3 0 0 o-3 0 0 0 3 0 6 -6 -6 -6 0 ;
1 o-2 2-l 0 2 -1 -1 -1 1 -2 0 0 1 2 0 o-1 0 2 2 -2 -2 0 2
4 16 20 -4 60 0 40 -36 -20 -20 -60 20 0 0 -60 60 80 -64 -20 - 16 44 60 100 36 -16 +$
2 0 2 -2 -2 0 4 -2 -2 -2 2 2 0 0 2-2 0 0 -2 0 -2 -2 2 2 0
3 15 7-5 1 0 3 5 0 0 0 -5 -4 0 5 0 -4 0 -2 -2 -6 0 6 8
9
1 -1 -1 1 l-l 0 l-l 0 0 0 10 o-1 0 0 0 -2 2-2 0 2 0
0 l-l 1 1 1 0 O-l 0 0 0 1 -1 0 -1 o-1 0 l-2 0 0 0 2
2 4 O-2 O-6 0 2 0 0 0 0 O-6 0 0 0 4 0 2 2 6 0 4 2
1 -1 O-10 0 0 10 0 0 0 0 0 0 0 o-1 0 11 0 o-1 1
1 o-1 0 0 1 0 0 0 0 0 l-1 o-1 0 0 10 0 0 0 0 0 0