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SU6(q) for q = 2 mod 6


Labels of unipotent almost characters:
  1:  [ 1, 1, 1, 1, 1, 1 ]
  2:  [ 2, 1, 1, 1, 1 ]
  3:  [ 2, 2, 1, 1 ]
  4:  [ 2, 2, 2 ]
  5:  [ 3, 1, 1, 1 ]
  6:  [ 3, 2, 1 ]
  7:  [ 3, 3 ]
  8:  [ 4, 1, 1 ]
  9:  [ 4, 2 ]
 10:  [ 5, 1 ]
 11:  [ 6 ]

In row "i,j,k:" we give the scalar product of the tensor product of almost 
characters i and j with almost character k, if this is nonzero and i >= j.
1, 1, 1:    3*q^10+3*q^8-3*q^7+5*q^6-3*q^5+8*q^4-q^3+5*q^2-2*q+1# NEGATIVE COEFF
1, 1, 2:    3*q^9-3*q^8+6*q^7-8*q^6+11*q^5-10*q^4+15*q^3-5*q^2+4*q-1# NEGATIVE COEFF
1, 1, 3:    3*q^8-3*q^7+9*q^6-8*q^5+16*q^4-11*q^3+17*q^2-5*q+7# NEGATIVE COEFF
1, 1, 4:    3*q^7+6*q^5-5*q^4+8*q^3+8*q+5# NEGATIVE COEFF
1, 1, 5:    3*q^7-3*q^6+8*q^5-8*q^4+13*q^3-9*q^2+9*q+2# NEGATIVE COEFF
1, 1, 6:    -3*q^6+6*q^5-8*q^4+13*q^3-14*q^2+8*q-4# NEGATIVE COEFF
1, 1, 7:    3*q^4+5*q^2-q+5# NEGATIVE COEFF
1, 1, 8:    3*q^4-2*q^3+6*q^2-4*q+6# NEGATIVE COEFF
1, 1, 9:    3*q^3-2*q^2+6*q+3# NEGATIVE COEFF
1, 1, 10:    3
1, 1, 11:    1
2, 1, 1:    3*q^9-3*q^8+6*q^7-8*q^6+11*q^5-10*q^4+15*q^3-5*q^2+4*q-1# NEGATIVE COEFF
2, 1, 2:    3*q^8-6*q^7+11*q^6-16*q^5+23*q^4-24*q^3+25*q^2-15*q+4# NEGATIVE COEFF
2, 1, 3:    3*q^7-6*q^6+14*q^5-18*q^4+27*q^3-21*q^2+19*q-2# NEGATIVE COEFF
2, 1, 4:    3*q^6-3*q^5+8*q^4-10*q^3+14*q^2-6*q+7# NEGATIVE COEFF
2, 1, 5:    3*q^6-5*q^5+10*q^4-14*q^3+19*q^2-12*q+10# NEGATIVE COEFF
2, 1, 6:    -3*q^5+8*q^4-12*q^3+18*q^2-17*q+6# NEGATIVE COEFF
2, 1, 7:    3*q^3-2*q^2+4*q+2# NEGATIVE COEFF
2, 1, 8:    2*q^3-2*q^2+4*q-2# NEGATIVE COEFF
2, 1, 9:    2*q^2-2*q+5# NEGATIVE COEFF
2, 1, 10:    1
2, 2, 1:    3*q^8-6*q^7+11*q^6-16*q^5+23*q^4-24*q^3+25*q^2-15*q+4# NEGATIVE COEFF
2, 2, 2:    3*q^7-8*q^6+18*q^5-26*q^4+40*q^3-38*q^2+32*q-11# NEGATIVE COEFF
2, 2, 3:    3*q^6-8*q^5+20*q^4-30*q^3+42*q^2-33*q+17# NEGATIVE COEFF
2, 2, 4:    3*q^5-5*q^4+12*q^3-12*q^2+16*q-2# NEGATIVE COEFF
2, 2, 5:    2*q^5-6*q^4+12*q^3-18*q^2+20*q-8# NEGATIVE COEFF
2, 2, 6:    -2*q^4+8*q^3-16*q^2+20*q-12# NEGATIVE COEFF
2, 2, 7:    2*q^2-4*q+5# NEGATIVE COEFF
2, 2, 8:    q^3+2*q^2+6
2, 2, 9:    q^2+2*q+2
2, 2, 11:    1
3, 1, 1:    3*q^8-3*q^7+9*q^6-8*q^5+16*q^4-11*q^3+17*q^2-5*q+7# NEGATIVE COEFF
3, 1, 2:    3*q^7-6*q^6+14*q^5-18*q^4+27*q^3-21*q^2+19*q-2# NEGATIVE COEFF
3, 1, 3:    3*q^6-6*q^5+17*q^4-19*q^3+31*q^2-16*q+18# NEGATIVE COEFF
3, 1, 4:    3*q^5-3*q^4+11*q^3-5*q^2+12*q+5# NEGATIVE COEFF
3, 1, 5:    3*q^5-5*q^4+13*q^3-13*q^2+16*q# NEGATIVE COEFF
3, 1, 6:    -3*q^4+8*q^3-14*q^2+15*q-8# NEGATIVE COEFF
3, 1, 7:    3*q^2-q+8# NEGATIVE COEFF
3, 1, 8:    3*q^2-2*q+6# NEGATIVE COEFF
3, 1, 9:    3*q+3
3, 1, 10:    1
3, 2, 1:    3*q^7-6*q^6+14*q^5-18*q^4+27*q^3-21*q^2+19*q-2# NEGATIVE COEFF
3, 2, 2:    3*q^6-8*q^5+20*q^4-30*q^3+42*q^2-33*q+17# NEGATIVE COEFF
3, 2, 3:    3*q^5-8*q^4+22*q^3-27*q^2+33*q-9# NEGATIVE COEFF
3, 2, 4:    3*q^4-5*q^3+14*q^2-10*q+13# NEGATIVE COEFF
3, 2, 5:    2*q^4-6*q^3+15*q^2-16*q+14# NEGATIVE COEFF
3, 2, 6:    -2*q^3+8*q^2-14*q+10# NEGATIVE COEFF
3, 2, 7:    2*q+2
3, 2, 8:    2*q+1
3, 2, 9:    3
3, 3, 1:    3*q^6-6*q^5+17*q^4-19*q^3+31*q^2-16*q+18# NEGATIVE COEFF
3, 3, 2:    3*q^5-8*q^4+22*q^3-27*q^2+33*q-9# NEGATIVE COEFF
3, 3, 3:    3*q^4-7*q^3+24*q^2-20*q+29# NEGATIVE COEFF
3, 3, 4:    3*q^3-q^2+10*q+8# NEGATIVE COEFF
3, 3, 5:    3*q^3-6*q^2+14*q# NEGATIVE COEFF
3, 3, 6:    -2*q^2+6*q-6# NEGATIVE COEFF
3, 3, 7:    q+8
3, 3, 8:    q^2+5
3, 3, 9:    q+6
3, 3, 10:    1
3, 3, 11:    1
4, 1, 1:    3*q^7+6*q^5-5*q^4+8*q^3+8*q+5# NEGATIVE COEFF
4, 1, 2:    3*q^6-3*q^5+8*q^4-10*q^3+14*q^2-6*q+7# NEGATIVE COEFF
4, 1, 3:    3*q^5-3*q^4+11*q^3-5*q^2+12*q+5# NEGATIVE COEFF
4, 1, 4:    3*q^4+8*q^2-4*q+8# NEGATIVE COEFF
4, 1, 5:    3*q^4-2*q^3+8*q^2-3*q+8# NEGATIVE COEFF
4, 1, 6:    -3*q^3+5*q^2-4*q+4# NEGATIVE COEFF
4, 1, 7:    3*q+6
4, 1, 8:    2*q+3
4, 1, 9:    4
4, 1, 10:    1
4, 2, 1:    3*q^6-3*q^5+8*q^4-10*q^3+14*q^2-6*q+7# NEGATIVE COEFF
4, 2, 2:    3*q^5-5*q^4+12*q^3-12*q^2+16*q-2# NEGATIVE COEFF
4, 2, 3:    3*q^4-5*q^3+14*q^2-10*q+13# NEGATIVE COEFF
4, 2, 4:    3*q^3+q^2+5*q+3
4, 2, 5:    2*q^3-4*q^2+6*q-1# NEGATIVE COEFF
4, 2, 6:    -2*q^2+4*q-2# NEGATIVE COEFF
4, 2, 7:    3
4, 2, 8:    q+4
4, 2, 9:    4
4, 3, 1:    3*q^5-3*q^4+11*q^3-5*q^2+12*q+5# NEGATIVE COEFF
4, 3, 2:    3*q^4-5*q^3+14*q^2-10*q+13# NEGATIVE COEFF
4, 3, 3:    3*q^3-q^2+10*q+8# NEGATIVE COEFF
4, 3, 4:    3*q^2+12
4, 3, 5:    3*q^2-q+9# NEGATIVE COEFF
4, 3, 7:    6
4, 3, 8:    4
4, 3, 9:    3
4, 3, 10:    1
4, 4, 1:    3*q^4+8*q^2-4*q+8# NEGATIVE COEFF
4, 4, 2:    3*q^3+q^2+5*q+3
4, 4, 3:    3*q^2+12
4, 4, 4:    3*q^2+4*q+12
4, 4, 5:    5
4, 4, 6:    -2*q# NEGATIVE COEFF
4, 4, 7:    3
4, 4, 8:    q+3
4, 4, 9:    5
4, 4, 11:    1
5, 1, 1:    3*q^7-3*q^6+8*q^5-8*q^4+13*q^3-9*q^2+9*q+2# NEGATIVE COEFF
5, 1, 2:    3*q^6-5*q^5+10*q^4-14*q^3+19*q^2-12*q+10# NEGATIVE COEFF
5, 1, 3:    3*q^5-5*q^4+13*q^3-13*q^2+16*q# NEGATIVE COEFF
5, 1, 4:    3*q^4-2*q^3+8*q^2-3*q+8# NEGATIVE COEFF
5, 1, 5:    2*q^4-q^3+6*q^2-6*q+6# NEGATIVE COEFF
5, 1, 6:    -2*q^3+4*q^2-6*q+4# NEGATIVE COEFF
5, 1, 7:    3*q+2
5, 1, 8:    q^2+2
5, 1, 9:    q+2
5, 2, 1:    3*q^6-5*q^5+10*q^4-14*q^3+19*q^2-12*q+10# NEGATIVE COEFF
5, 2, 2:    2*q^5-6*q^4+12*q^3-18*q^2+20*q-8# NEGATIVE COEFF
5, 2, 3:    2*q^4-6*q^3+15*q^2-16*q+14# NEGATIVE COEFF
5, 2, 4:    2*q^3-4*q^2+6*q-1# NEGATIVE COEFF
5, 2, 5:    q^4+q^3-2*q^2+5*q-2# NEGATIVE COEFF
5, 2, 6:    -q^3-q^2+6*q-4# NEGATIVE COEFF
5, 2, 7:    3
5, 3, 1:    3*q^5-5*q^4+13*q^3-13*q^2+16*q# NEGATIVE COEFF
5, 3, 2:    2*q^4-6*q^3+15*q^2-16*q+14# NEGATIVE COEFF
5, 3, 3:    3*q^3-6*q^2+14*q# NEGATIVE COEFF
5, 3, 4:    3*q^2-q+9# NEGATIVE COEFF
5, 3, 5:    q^3+2*q^2-3*q+8# NEGATIVE COEFF
5, 3, 6:    -2*q+2# NEGATIVE COEFF
5, 3, 7:    q+4
5, 3, 8:    1
5, 3, 9:    2
5, 3, 10:    1
5, 4, 1:    3*q^4-2*q^3+8*q^2-3*q+8# NEGATIVE COEFF
5, 4, 2:    2*q^3-4*q^2+6*q-1# NEGATIVE COEFF
5, 4, 3:    3*q^2-q+9# NEGATIVE COEFF
5, 4, 4:    5
5, 4, 5:    q^2+3*q+4
5, 4, 7:    3
5, 4, 9:    1
5, 4, 10:    1
5, 5, 1:    2*q^4-q^3+6*q^2-6*q+6# NEGATIVE COEFF
5, 5, 2:    q^4+q^3-2*q^2+5*q-2# NEGATIVE COEFF
5, 5, 3:    q^3+2*q^2-3*q+8# NEGATIVE COEFF
5, 5, 4:    q^2+3*q+4
5, 5, 5:    2*q+1
5, 5, 6:    -2# NEGATIVE COEFF
5, 5, 7:    2
5, 5, 8:    q^2+2
5, 5, 9:    q+3
5, 5, 11:    1
6, 1, 1:    -3*q^6+6*q^5-8*q^4+13*q^3-14*q^2+8*q-4# NEGATIVE COEFF
6, 1, 2:    -3*q^5+8*q^4-12*q^3+18*q^2-17*q+6# NEGATIVE COEFF
6, 1, 3:    -3*q^4+8*q^3-14*q^2+15*q-8# NEGATIVE COEFF
6, 1, 4:    -3*q^3+5*q^2-4*q+4# NEGATIVE COEFF
6, 1, 5:    -2*q^3+4*q^2-6*q+4# NEGATIVE COEFF
6, 1, 6:    2*q^2-6*q+4# NEGATIVE COEFF
6, 1, 7:    -2# NEGATIVE COEFF
6, 2, 1:    -3*q^5+8*q^4-12*q^3+18*q^2-17*q+6# NEGATIVE COEFF
6, 2, 2:    -2*q^4+8*q^3-16*q^2+20*q-12# NEGATIVE COEFF
6, 2, 3:    -2*q^3+8*q^2-14*q+10# NEGATIVE COEFF
6, 2, 4:    -2*q^2+4*q-2# NEGATIVE COEFF
6, 2, 5:    -q^3-q^2+6*q-4# NEGATIVE COEFF
6, 2, 6:    q^2+q-4# NEGATIVE COEFF
6, 3, 1:    -3*q^4+8*q^3-14*q^2+15*q-8# NEGATIVE COEFF
6, 3, 2:    -2*q^3+8*q^2-14*q+10# NEGATIVE COEFF
6, 3, 3:    -2*q^2+6*q-6# NEGATIVE COEFF
6, 3, 5:    -2*q+2# NEGATIVE COEFF
6, 4, 1:    -3*q^3+5*q^2-4*q+4# NEGATIVE COEFF
6, 4, 2:    -2*q^2+4*q-2# NEGATIVE COEFF
6, 4, 4:    -2*q# NEGATIVE COEFF
6, 4, 6:    2
6, 5, 1:    -2*q^3+4*q^2-6*q+4# NEGATIVE COEFF
6, 5, 2:    -q^3-q^2+6*q-4# NEGATIVE COEFF
6, 5, 3:    -2*q+2# NEGATIVE COEFF
6, 5, 5:    -2# NEGATIVE COEFF
6, 6, 1:    2*q^2-6*q+4# NEGATIVE COEFF
6, 6, 2:    q^2+q-4# NEGATIVE COEFF
6, 6, 4:    2
6, 6, 8:    q
6, 6, 11:    1
7, 1, 1:    3*q^4+5*q^2-q+5# NEGATIVE COEFF
7, 1, 2:    3*q^3-2*q^2+4*q+2# NEGATIVE COEFF
7, 1, 3:    3*q^2-q+8# NEGATIVE COEFF
7, 1, 4:    3*q+6
7, 1, 5:    3*q+2
7, 1, 6:    -2# NEGATIVE COEFF
7, 1, 7:    2
7, 1, 8:    1
7, 1, 9:    1
7, 2, 1:    3*q^3-2*q^2+4*q+2# NEGATIVE COEFF
7, 2, 2:    2*q^2-4*q+5# NEGATIVE COEFF
7, 2, 3:    2*q+2
7, 2, 4:    3
7, 2, 5:    3
7, 3, 1:    3*q^2-q+8# NEGATIVE COEFF
7, 3, 2:    2*q+2
7, 3, 3:    q+8
7, 3, 4:    6
7, 3, 5:    q+4
7, 3, 7:    3
7, 3, 8:    1
7, 3, 9:    2
7, 3, 10:    1
7, 4, 1:    3*q+6
7, 4, 2:    3
7, 4, 3:    6
7, 4, 4:    3
7, 4, 5:    3
7, 4, 7:    2
7, 4, 8:    1
7, 4, 9:    1
7, 5, 1:    3*q+2
7, 5, 2:    3
7, 5, 3:    q+4
7, 5, 4:    3
7, 5, 5:    2
7, 5, 7:    2
7, 5, 8:    1
7, 5, 9:    2
7, 6, 1:    -2# NEGATIVE COEFF
7, 7, 1:    2
7, 7, 3:    3
7, 7, 4:    2
7, 7, 5:    2
7, 7, 7:    2
7, 7, 8:    1
7, 7, 9:    2
7, 7, 10:    1
7, 7, 11:    1
8, 1, 1:    3*q^4-2*q^3+6*q^2-4*q+6# NEGATIVE COEFF
8, 1, 2:    2*q^3-2*q^2+4*q-2# NEGATIVE COEFF
8, 1, 3:    3*q^2-2*q+6# NEGATIVE COEFF
8, 1, 4:    2*q+3
8, 1, 5:    q^2+2
8, 1, 7:    1
8, 2, 1:    2*q^3-2*q^2+4*q-2# NEGATIVE COEFF
8, 2, 2:    q^3+2*q^2+6
8, 2, 3:    2*q+1
8, 2, 4:    q+4
8, 2, 8:    q+2
8, 2, 9:    1
8, 3, 1:    3*q^2-2*q+6# NEGATIVE COEFF
8, 3, 2:    2*q+1
8, 3, 3:    q^2+5
8, 3, 4:    4
8, 3, 5:    1
8, 3, 7:    1
8, 3, 9:    1
8, 4, 1:    2*q+3
8, 4, 2:    q+4
8, 4, 3:    4
8, 4, 4:    q+3
8, 4, 7:    1
8, 4, 8:    1
8, 4, 9:    1
8, 5, 1:    q^2+2
8, 5, 3:    1
8, 5, 5:    q^2+2
8, 5, 7:    1
8, 5, 10:    1
8, 6, 6:    q
8, 7, 1:    1
8, 7, 3:    1
8, 7, 4:    1
8, 7, 5:    1
8, 7, 7:    1
8, 8, 2:    q+2
8, 8, 4:    1
8, 8, 8:    q+2
8, 8, 9:    1
8, 8, 11:    1
9, 1, 1:    3*q^3-2*q^2+6*q+3# NEGATIVE COEFF
9, 1, 2:    2*q^2-2*q+5# NEGATIVE COEFF
9, 1, 3:    3*q+3
9, 1, 4:    4
9, 1, 5:    q+2
9, 1, 7:    1
9, 2, 1:    2*q^2-2*q+5# NEGATIVE COEFF
9, 2, 2:    q^2+2*q+2
9, 2, 3:    3
9, 2, 4:    4
9, 2, 8:    1
9, 3, 1:    3*q+3
9, 3, 2:    3
9, 3, 3:    q+6
9, 3, 4:    3
9, 3, 5:    2
9, 3, 7:    2
9, 3, 8:    1
9, 3, 9:    2
9, 4, 1:    4
9, 4, 2:    4
9, 4, 3:    3
9, 4, 4:    5
9, 4, 5:    1
9, 4, 7:    1
9, 4, 8:    1
9, 4, 9:    1
9, 5, 1:    q+2
9, 5, 3:    2
9, 5, 4:    1
9, 5, 5:    q+3
9, 5, 7:    2
9, 5, 10:    1
9, 7, 1:    1
9, 7, 3:    2
9, 7, 4:    1
9, 7, 5:    2
9, 7, 7:    2
9, 7, 9:    1
9, 7, 10:    1
9, 8, 2:    1
9, 8, 3:    1
9, 8, 4:    1
9, 8, 8:    1
9, 8, 9:    1
9, 9, 3:    2
9, 9, 4:    1
9, 9, 7:    1
9, 9, 8:    1
9, 9, 9:    2
9, 9, 11:    1
10, 1, 1:    3
10, 1, 2:    1
10, 1, 3:    1
10, 1, 4:    1
10, 2, 1:    1
10, 3, 1:    1
10, 3, 3:    1
10, 3, 4:    1
10, 3, 5:    1
10, 3, 7:    1
10, 4, 1:    1
10, 4, 3:    1
10, 4, 5:    1
10, 5, 3:    1
10, 5, 4:    1
10, 5, 8:    1
10, 5, 9:    1
10, 7, 3:    1
10, 7, 7:    1
10, 7, 9:    1
10, 8, 5:    1
10, 9, 5:    1
10, 9, 7:    1
10, 9, 10:    1
10, 10, 9:    1
10, 10, 11:    1
11, 1, 1:    1
11, 2, 2:    1
11, 3, 3:    1
11, 4, 4:    1
11, 5, 5:    1
11, 6, 6:    1
11, 7, 7:    1
11, 8, 8:    1
11, 9, 9:    1
11, 10, 10:    1
11, 11, 11:    1

(C) 2005 Frank Lübeck