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SU6(q) for q = 5 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:    6*q^10+6*q^8-6*q^7+11*q^6-6*q^5+17*q^4-3*q^3+11*q^2-4*q+2# NEGATIVE COEFF
1, 1, 2:    6*q^9-6*q^8+12*q^7-17*q^6+23*q^5-22*q^4+32*q^3-16*q^2+11*q-3# NEGATIVE COEFF
1, 1, 3:    6*q^8-6*q^7+18*q^6-17*q^5+34*q^4-25*q^3+37*q^2-14*q+13# NEGATIVE COEFF
1, 1, 4:    6*q^7+12*q^5-11*q^4+17*q^3-5*q^2+16*q+6# NEGATIVE COEFF
1, 1, 5:    6*q^7-6*q^6+17*q^5-17*q^4+28*q^3-20*q^2+23*q+1# NEGATIVE COEFF
1, 1, 6:    -6*q^6+12*q^5-17*q^4+28*q^3-31*q^2+21*q-11# NEGATIVE COEFF
1, 1, 7:    6*q^4+11*q^2-3*q+9# NEGATIVE COEFF
1, 1, 8:    6*q^4-5*q^3+12*q^2-10*q+11# NEGATIVE COEFF
1, 1, 9:    6*q^3-5*q^2+12*q+1# NEGATIVE COEFF
1, 1, 10:    6
1, 1, 11:    1
2, 1, 1:    6*q^9-6*q^8+12*q^7-17*q^6+23*q^5-22*q^4+32*q^3-16*q^2+11*q-3# NEGATIVE COEFF
2, 1, 2:    6*q^8-12*q^7+23*q^6-34*q^5+50*q^4-53*q^3+56*q^2-38*q+11# NEGATIVE COEFF
2, 1, 3:    6*q^7-12*q^6+29*q^5-39*q^4+59*q^3-52*q^2+47*q-11# NEGATIVE COEFF
2, 1, 4:    6*q^6-6*q^5+17*q^4-22*q^3+31*q^2-16*q+14# NEGATIVE COEFF
2, 1, 5:    6*q^6-11*q^5+22*q^4-32*q^3+42*q^2-31*q+22# NEGATIVE COEFF
2, 1, 6:    -6*q^5+17*q^4-27*q^3+41*q^2-41*q+18# NEGATIVE COEFF
2, 1, 7:    6*q^3-5*q^2+9*q# NEGATIVE COEFF
2, 1, 8:    5*q^3-5*q^2+10*q-7# NEGATIVE COEFF
2, 1, 9:    5*q^2-5*q+10# NEGATIVE COEFF
2, 1, 10:    1
2, 2, 1:    6*q^8-12*q^7+23*q^6-34*q^5+50*q^4-53*q^3+56*q^2-38*q+11# NEGATIVE COEFF
2, 2, 2:    6*q^7-17*q^6+39*q^5-59*q^4+90*q^3-92*q^2+79*q-32# NEGATIVE COEFF
2, 2, 3:    6*q^6-17*q^5+44*q^4-68*q^3+96*q^2-82*q+43# NEGATIVE COEFF
2, 2, 4:    6*q^5-11*q^4+27*q^3-32*q^2+40*q-11# NEGATIVE COEFF
2, 2, 5:    5*q^5-15*q^4+30*q^3-44*q^2+50*q-25# NEGATIVE COEFF
2, 2, 6:    -5*q^4+20*q^3-39*q^2+49*q-33# NEGATIVE COEFF
2, 2, 7:    5*q^2-9*q+10# NEGATIVE COEFF
2, 2, 8:    q^3+5*q^2-3*q+11# NEGATIVE COEFF
2, 2, 9:    q^2+5*q
2, 2, 11:    1
3, 1, 1:    6*q^8-6*q^7+18*q^6-17*q^5+34*q^4-25*q^3+37*q^2-14*q+13# NEGATIVE COEFF
3, 1, 2:    6*q^7-12*q^6+29*q^5-39*q^4+59*q^3-52*q^2+47*q-11# NEGATIVE COEFF
3, 1, 3:    6*q^6-12*q^5+35*q^4-42*q^3+68*q^2-43*q+36# NEGATIVE COEFF
3, 1, 4:    6*q^5-6*q^4+23*q^3-16*q^2+28*q+2# NEGATIVE COEFF
3, 1, 5:    6*q^5-11*q^4+28*q^3-30*q^2+38*q-8# NEGATIVE COEFF
3, 1, 6:    -6*q^4+17*q^3-31*q^2+36*q-22# NEGATIVE COEFF
3, 1, 7:    6*q^2-3*q+14# NEGATIVE COEFF
3, 1, 8:    6*q^2-5*q+11# NEGATIVE COEFF
3, 1, 9:    6*q+1
3, 1, 10:    1
3, 2, 1:    6*q^7-12*q^6+29*q^5-39*q^4+59*q^3-52*q^2+47*q-11# NEGATIVE COEFF
3, 2, 2:    6*q^6-17*q^5+44*q^4-68*q^3+96*q^2-82*q+43# NEGATIVE COEFF
3, 2, 3:    6*q^5-17*q^4+48*q^3-66*q^2+81*q-34# NEGATIVE COEFF
3, 2, 4:    6*q^4-11*q^3+31*q^2-28*q+27# NEGATIVE COEFF
3, 2, 5:    5*q^4-15*q^3+35*q^2-40*q+33# NEGATIVE COEFF
3, 2, 6:    -5*q^3+19*q^2-34*q+28# NEGATIVE COEFF
3, 2, 7:    4*q
3, 2, 8:    5*q-1# NEGATIVE COEFF
3, 2, 9:    5
3, 3, 1:    6*q^6-12*q^5+35*q^4-42*q^3+68*q^2-43*q+36# NEGATIVE COEFF
3, 3, 2:    6*q^5-17*q^4+48*q^3-66*q^2+81*q-34# NEGATIVE COEFF
3, 3, 3:    6*q^4-15*q^3+51*q^2-52*q+60# NEGATIVE COEFF
3, 3, 4:    6*q^3-6*q^2+25*q+1# NEGATIVE COEFF
3, 3, 5:    6*q^3-14*q^2+32*q-12# NEGATIVE COEFF
3, 3, 6:    -4*q^2+14*q-18# NEGATIVE COEFF
3, 3, 7:    2*q+11
3, 3, 8:    q^2+7
3, 3, 9:    q+7
3, 3, 10:    1
3, 3, 11:    1
4, 1, 1:    6*q^7+12*q^5-11*q^4+17*q^3-5*q^2+16*q+6# NEGATIVE COEFF
4, 1, 2:    6*q^6-6*q^5+17*q^4-22*q^3+31*q^2-16*q+14# NEGATIVE COEFF
4, 1, 3:    6*q^5-6*q^4+23*q^3-16*q^2+28*q+2# NEGATIVE COEFF
4, 1, 4:    6*q^4+17*q^2-9*q+14# NEGATIVE COEFF
4, 1, 5:    6*q^4-5*q^3+17*q^2-11*q+14# NEGATIVE COEFF
4, 1, 6:    -6*q^3+11*q^2-12*q+11# NEGATIVE COEFF
4, 1, 7:    6*q+7
4, 1, 8:    5*q+3
4, 1, 9:    7
4, 1, 10:    1
4, 2, 1:    6*q^6-6*q^5+17*q^4-22*q^3+31*q^2-16*q+14# NEGATIVE COEFF
4, 2, 2:    6*q^5-11*q^4+27*q^3-32*q^2+40*q-11# NEGATIVE COEFF
4, 2, 3:    6*q^4-11*q^3+31*q^2-28*q+27# NEGATIVE COEFF
4, 2, 4:    6*q^3-2*q^2+13*q-1# NEGATIVE COEFF
4, 2, 5:    5*q^3-10*q^2+17*q-8# NEGATIVE COEFF
4, 2, 6:    -5*q^2+12*q-9# NEGATIVE COEFF
4, 2, 7:    5
4, 2, 8:    q+7
4, 2, 9:    4
4, 3, 1:    6*q^5-6*q^4+23*q^3-16*q^2+28*q+2# NEGATIVE COEFF
4, 3, 2:    6*q^4-11*q^3+31*q^2-28*q+27# NEGATIVE COEFF
4, 3, 3:    6*q^3-6*q^2+25*q+1# NEGATIVE COEFF
4, 3, 4:    6*q^2-2*q+20# NEGATIVE COEFF
4, 3, 5:    6*q^2-6*q+17# NEGATIVE COEFF
4, 3, 6:    -2*q+4# NEGATIVE COEFF
4, 3, 7:    7
4, 3, 8:    4
4, 3, 9:    3
4, 3, 10:    1
4, 4, 1:    6*q^4+17*q^2-9*q+14# NEGATIVE COEFF
4, 4, 2:    6*q^3-2*q^2+13*q-1# NEGATIVE COEFF
4, 4, 3:    6*q^2-2*q+20# NEGATIVE COEFF
4, 4, 4:    3*q^2+7*q+13
4, 4, 5:    3*q+6
4, 4, 6:    -2*q-2# NEGATIVE COEFF
4, 4, 7:    4
4, 4, 8:    q+3
4, 4, 9:    5
4, 4, 11:    1
5, 1, 1:    6*q^7-6*q^6+17*q^5-17*q^4+28*q^3-20*q^2+23*q+1# NEGATIVE COEFF
5, 1, 2:    6*q^6-11*q^5+22*q^4-32*q^3+42*q^2-31*q+22# NEGATIVE COEFF
5, 1, 3:    6*q^5-11*q^4+28*q^3-30*q^2+38*q-8# NEGATIVE COEFF
5, 1, 4:    6*q^4-5*q^3+17*q^2-11*q+14# NEGATIVE COEFF
5, 1, 5:    5*q^4-4*q^3+15*q^2-14*q+15# NEGATIVE COEFF
5, 1, 6:    -5*q^3+10*q^2-14*q+11# NEGATIVE COEFF
5, 1, 7:    6*q+3
5, 1, 8:    q^2+2
5, 1, 9:    q+2
5, 2, 1:    6*q^6-11*q^5+22*q^4-32*q^3+42*q^2-31*q+22# NEGATIVE COEFF
5, 2, 2:    5*q^5-15*q^4+30*q^3-44*q^2+50*q-25# NEGATIVE COEFF
5, 2, 3:    5*q^4-15*q^3+35*q^2-40*q+33# NEGATIVE COEFF
5, 2, 4:    5*q^3-10*q^2+17*q-8# NEGATIVE COEFF
5, 2, 5:    q^4+4*q^3-8*q^2+13*q-9# NEGATIVE COEFF
5, 2, 6:    -q^3-4*q^2+14*q-11# NEGATIVE COEFF
5, 2, 7:    5
5, 3, 1:    6*q^5-11*q^4+28*q^3-30*q^2+38*q-8# NEGATIVE COEFF
5, 3, 2:    5*q^4-15*q^3+35*q^2-40*q+33# NEGATIVE COEFF
5, 3, 3:    6*q^3-14*q^2+32*q-12# NEGATIVE COEFF
5, 3, 4:    6*q^2-6*q+17# NEGATIVE COEFF
5, 3, 5:    q^3+5*q^2-8*q+16# NEGATIVE COEFF
5, 3, 6:    -4*q+6# NEGATIVE COEFF
5, 3, 7:    q+5
5, 3, 8:    1
5, 3, 9:    2
5, 3, 10:    1
5, 4, 1:    6*q^4-5*q^3+17*q^2-11*q+14# NEGATIVE COEFF
5, 4, 2:    5*q^3-10*q^2+17*q-8# NEGATIVE COEFF
5, 4, 3:    6*q^2-6*q+17# NEGATIVE COEFF
5, 4, 4:    3*q+6
5, 4, 5:    q^2+6*q+2
5, 4, 6:    -2# NEGATIVE COEFF
5, 4, 7:    4
5, 4, 9:    1
5, 4, 10:    1
5, 5, 1:    5*q^4-4*q^3+15*q^2-14*q+15# NEGATIVE COEFF
5, 5, 2:    q^4+4*q^3-8*q^2+13*q-9# NEGATIVE COEFF
5, 5, 3:    q^3+5*q^2-8*q+16# NEGATIVE COEFF
5, 5, 4:    q^2+6*q+2
5, 5, 5:    5*q+2
5, 5, 6:    -4# NEGATIVE COEFF
5, 5, 7:    3
5, 5, 8:    q^2+2
5, 5, 9:    q+3
5, 5, 11:    1
6, 1, 1:    -6*q^6+12*q^5-17*q^4+28*q^3-31*q^2+21*q-11# NEGATIVE COEFF
6, 1, 2:    -6*q^5+17*q^4-27*q^3+41*q^2-41*q+18# NEGATIVE COEFF
6, 1, 3:    -6*q^4+17*q^3-31*q^2+36*q-22# NEGATIVE COEFF
6, 1, 4:    -6*q^3+11*q^2-12*q+11# NEGATIVE COEFF
6, 1, 5:    -5*q^3+10*q^2-14*q+11# NEGATIVE COEFF
6, 1, 6:    5*q^2-14*q+11# NEGATIVE COEFF
6, 1, 7:    -4# NEGATIVE COEFF
6, 2, 1:    -6*q^5+17*q^4-27*q^3+41*q^2-41*q+18# NEGATIVE COEFF
6, 2, 2:    -5*q^4+20*q^3-39*q^2+49*q-33# NEGATIVE COEFF
6, 2, 3:    -5*q^3+19*q^2-34*q+28# NEGATIVE COEFF
6, 2, 4:    -5*q^2+12*q-9# NEGATIVE COEFF
6, 2, 5:    -q^3-4*q^2+14*q-11# NEGATIVE COEFF
6, 2, 6:    q^2+3*q-10# NEGATIVE COEFF
6, 3, 1:    -6*q^4+17*q^3-31*q^2+36*q-22# NEGATIVE COEFF
6, 3, 2:    -5*q^3+19*q^2-34*q+28# NEGATIVE COEFF
6, 3, 3:    -4*q^2+14*q-18# NEGATIVE COEFF
6, 3, 4:    -2*q+4# NEGATIVE COEFF
6, 3, 5:    -4*q+6# NEGATIVE COEFF
6, 3, 6:    q+1
6, 4, 1:    -6*q^3+11*q^2-12*q+11# NEGATIVE COEFF
6, 4, 2:    -5*q^2+12*q-9# NEGATIVE COEFF
6, 4, 3:    -2*q+4# NEGATIVE COEFF
6, 4, 4:    -2*q-2# NEGATIVE COEFF
6, 4, 5:    -2# NEGATIVE COEFF
6, 4, 6:    2
6, 5, 1:    -5*q^3+10*q^2-14*q+11# NEGATIVE COEFF
6, 5, 2:    -q^3-4*q^2+14*q-11# NEGATIVE COEFF
6, 5, 3:    -4*q+6# NEGATIVE COEFF
6, 5, 4:    -2# NEGATIVE COEFF
6, 5, 5:    -4# NEGATIVE COEFF
6, 6, 1:    5*q^2-14*q+11# NEGATIVE COEFF
6, 6, 2:    q^2+3*q-10# NEGATIVE COEFF
6, 6, 3:    q+1
6, 6, 4:    2
6, 6, 7:    1
6, 6, 8:    q
6, 6, 11:    1
7, 1, 1:    6*q^4+11*q^2-3*q+9# NEGATIVE COEFF
7, 1, 2:    6*q^3-5*q^2+9*q# NEGATIVE COEFF
7, 1, 3:    6*q^2-3*q+14# NEGATIVE COEFF
7, 1, 4:    6*q+7
7, 1, 5:    6*q+3
7, 1, 6:    -4# NEGATIVE COEFF
7, 1, 7:    3
7, 1, 8:    1
7, 1, 9:    1
7, 2, 1:    6*q^3-5*q^2+9*q# NEGATIVE COEFF
7, 2, 2:    5*q^2-9*q+10# NEGATIVE COEFF
7, 2, 3:    4*q
7, 2, 4:    5
7, 2, 5:    5
7, 3, 1:    6*q^2-3*q+14# NEGATIVE COEFF
7, 3, 2:    4*q
7, 3, 3:    2*q+11
7, 3, 4:    7
7, 3, 5:    q+5
7, 3, 7:    4
7, 3, 8:    1
7, 3, 9:    2
7, 3, 10:    1
7, 4, 1:    6*q+7
7, 4, 2:    5
7, 4, 3:    7
7, 4, 4:    4
7, 4, 5:    4
7, 4, 7:    2
7, 4, 8:    1
7, 4, 9:    1
7, 5, 1:    6*q+3
7, 5, 2:    5
7, 5, 3:    q+5
7, 5, 4:    4
7, 5, 5:    3
7, 5, 7:    2
7, 5, 8:    1
7, 5, 9:    2
7, 6, 1:    -4# NEGATIVE COEFF
7, 6, 6:    1
7, 7, 1:    3
7, 7, 3:    4
7, 7, 4:    2
7, 7, 5:    2
7, 7, 7:    3
7, 7, 8:    1
7, 7, 9:    2
7, 7, 10:    1
7, 7, 11:    1
8, 1, 1:    6*q^4-5*q^3+12*q^2-10*q+11# NEGATIVE COEFF
8, 1, 2:    5*q^3-5*q^2+10*q-7# NEGATIVE COEFF
8, 1, 3:    6*q^2-5*q+11# NEGATIVE COEFF
8, 1, 4:    5*q+3
8, 1, 5:    q^2+2
8, 1, 7:    1
8, 2, 1:    5*q^3-5*q^2+10*q-7# NEGATIVE COEFF
8, 2, 2:    q^3+5*q^2-3*q+11# NEGATIVE COEFF
8, 2, 3:    5*q-1# NEGATIVE COEFF
8, 2, 4:    q+7
8, 2, 8:    q+2
8, 2, 9:    1
8, 3, 1:    6*q^2-5*q+11# NEGATIVE COEFF
8, 3, 2:    5*q-1# NEGATIVE COEFF
8, 3, 3:    q^2+7
8, 3, 4:    4
8, 3, 5:    1
8, 3, 7:    1
8, 3, 9:    1
8, 4, 1:    5*q+3
8, 4, 2:    q+7
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:    6*q^3-5*q^2+12*q+1# NEGATIVE COEFF
9, 1, 2:    5*q^2-5*q+10# NEGATIVE COEFF
9, 1, 3:    6*q+1
9, 1, 4:    7
9, 1, 5:    q+2
9, 1, 7:    1
9, 2, 1:    5*q^2-5*q+10# NEGATIVE COEFF
9, 2, 2:    q^2+5*q
9, 2, 3:    5
9, 2, 4:    4
9, 2, 8:    1
9, 3, 1:    6*q+1
9, 3, 2:    5
9, 3, 3:    q+7
9, 3, 4:    3
9, 3, 5:    2
9, 3, 7:    2
9, 3, 8:    1
9, 3, 9:    2
9, 4, 1:    7
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:    6
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