P111 [8]
P21
[-2 -7]
[-2 -3]
[268, 289, 286, 290, 301, 274, 300, 272, 296, 304, 282, 290, 291, 266, 298, 298, 278, 309, 281, 310, 288, 297, 321, 311]
P31
[-101 89 -46]
[ -5 -1 -40]
[ 27 -95 26]
P22
[ 32 -20]
[ 134 -138]
P211
[ 7000 0 0]
[ 7000 -7000 0]
[ 7000 0 -7000]
P1111
[-14]
3588.22222222222
9606.00000000000
2.72222222222222e7
P31
[ 6 0 0]
[ 2 0 0]
[-2 0 0]
P22
[0 0]
[0 0]
P211
[0 0 0]
[0 0 0]
[0 0 0]
P1111
[0]
4.88888888888889
0.000000000000000
0.000000000000000
[1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
P31
[ 270 -406 216]
[ 706 -490 560]
[ 246 -70 160]
P22
[0 0]
[0 0]
P211
[0 0 0]
[0 0 0]
[0 0 0]
P1111
[0]
158616.000000000
0.000000000000000
0.000000000000000
[26 0 5 20]
[ 5 20 10 16]
[20 26 0 5]
[ 0 5 36 10]
[0, 0, 0, 5, 5, 5, 5, 10, 10, 16, 20, 20, 20, 26, 26, 36]
[[], [0]]
0
[[], [0]]
0
[[], [0]]
0
[[], [0]]
0
[[], [0]]
0
[[], [0]]
0
[[], [0]]
0
[[], [0]]
0
[[], [0]]
0
[0, 0, 0, 1, 2, 3, 4, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0]
[73, 76, 53, 146, 46, 136, 63, 66, 28, 24, 21, 14, 92, 185, 77, 73, 140, 43, 85, 175, 70, 63, 140, 43]
[50, 10, 12, 12, 20, 60, 18, 10, 14, 18, 2, 14, 6, 10, 40, 16, 28, 0, 26, 38, 8, 24, 8, 12]
P31
[ 270 -406 216]
[ 706 -490 560]
[ 246 -70 160]
P22
[0 0]
[0 0]
P211
[0 0 0]
[0 0 0]
[0 0 0]
P1111
[0]
P31F2
[ 80 -24 16]
[ 80 -8 80]
[ 24 0 128]
P22F2
[-48 48]
[ 36 120]
P211F2
[0 0 0]
[0 0 0]
[0 0 0]
P1111F2
[0]
Seminormal representation of the symmetric group corresponding to [3, 2]
[ 1 0 0 0 0]
[ 0 -1/2 0 3/2 0]
[ 0 0 -1/2 0 3/2]
[ 0 1/2 0 1/2 0]
[ 0 0 1/2 0 1/2]
[ -1/4 1/4*sqrt(15) 0 0]
[ -1/12*sqrt(15) -1/12 2/3*sqrt(2) 0]
[1/6*sqrt(15)*sqrt(2) 1/6*sqrt(2) 1/3 0]
[ 0 0 0 1]
5