## SU6(q) for q = 1, 3 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:    2*q^10+2*q^8-2*q^7+3*q^6-2*q^5+5*q^4+q^3+3*q^2+2# NEGATIVE COEFF
1, 1, 2:    2*q^9-2*q^8+4*q^7-5*q^6+7*q^5-6*q^4+8*q^3-2*q^2+q+1# NEGATIVE COEFF
1, 1, 3:    2*q^8-2*q^7+6*q^6-5*q^5+10*q^4-5*q^3+9*q^2+5# NEGATIVE COEFF
1, 1, 4:    2*q^7+4*q^5-3*q^4+5*q^3+q^2+4*q+4# NEGATIVE COEFF
1, 1, 5:    2*q^7-2*q^6+5*q^5-5*q^4+8*q^3-4*q^2+5*q+3# NEGATIVE COEFF
1, 1, 6:    -2*q^6+4*q^5-5*q^4+8*q^3-7*q^2+3*q-1# NEGATIVE COEFF
1, 1, 7:    2*q^4+3*q^2+q+5
1, 1, 8:    2*q^4-q^3+4*q^2-2*q+3# NEGATIVE COEFF
1, 1, 9:    2*q^3-q^2+4*q+3# NEGATIVE COEFF
1, 1, 10:    2
1, 1, 11:    1
2, 1, 1:    2*q^9-2*q^8+4*q^7-5*q^6+7*q^5-6*q^4+8*q^3-2*q^2+q+1# NEGATIVE COEFF
2, 1, 2:    2*q^8-4*q^7+7*q^6-10*q^5+14*q^4-13*q^3+12*q^2-6*q+1# NEGATIVE COEFF
2, 1, 3:    2*q^7-4*q^6+9*q^5-11*q^4+15*q^3-10*q^2+7*q+1# NEGATIVE COEFF
2, 1, 4:    2*q^6-2*q^5+5*q^4-6*q^3+7*q^2-2*q+2# NEGATIVE COEFF
2, 1, 5:    2*q^6-3*q^5+6*q^4-8*q^3+10*q^2-5*q+4# NEGATIVE COEFF
2, 1, 6:    -2*q^5+5*q^4-7*q^3+9*q^2-7*q+2# NEGATIVE COEFF
2, 1, 7:    2*q^3-q^2+q+2# NEGATIVE COEFF
2, 1, 8:    q^3-q^2+2*q-1# NEGATIVE COEFF
2, 1, 9:    q^2-q+2# NEGATIVE COEFF
2, 1, 10:    1
2, 2, 1:    2*q^8-4*q^7+7*q^6-10*q^5+14*q^4-13*q^3+12*q^2-6*q+1# NEGATIVE COEFF
2, 2, 2:    2*q^7-5*q^6+11*q^5-15*q^4+22*q^3-18*q^2+13*q-2# NEGATIVE COEFF
2, 2, 3:    2*q^6-5*q^5+12*q^4-16*q^3+20*q^2-12*q+5# NEGATIVE COEFF
2, 2, 4:    2*q^5-3*q^4+7*q^3-6*q^2+8*q+1# NEGATIVE COEFF
2, 2, 5:    q^5-3*q^4+6*q^3-8*q^2+8*q-3# NEGATIVE COEFF
2, 2, 6:    -q^4+4*q^3-7*q^2+7*q-3# NEGATIVE COEFF
2, 2, 7:    q^2-q+2# NEGATIVE COEFF
2, 2, 8:    q^3+q^2+q+3
2, 2, 9:    q^2+q+2
2, 2, 11:    1
3, 1, 1:    2*q^8-2*q^7+6*q^6-5*q^5+10*q^4-5*q^3+9*q^2+5# NEGATIVE COEFF
3, 1, 2:    2*q^7-4*q^6+9*q^5-11*q^4+15*q^3-10*q^2+7*q+1# NEGATIVE COEFF
3, 1, 3:    2*q^6-4*q^5+11*q^4-10*q^3+16*q^2-3*q+10# NEGATIVE COEFF
3, 1, 4:    2*q^5-2*q^4+7*q^3-2*q^2+6*q+6# NEGATIVE COEFF
3, 1, 5:    2*q^5-3*q^4+8*q^3-6*q^2+8*q+4# NEGATIVE COEFF
3, 1, 6:    -2*q^4+5*q^3-7*q^2+6*q-2# NEGATIVE COEFF
3, 1, 7:    2*q^2+q+6
3, 1, 8:    2*q^2-q+3# NEGATIVE COEFF
3, 1, 9:    2*q+3
3, 1, 10:    1
3, 2, 1:    2*q^7-4*q^6+9*q^5-11*q^4+15*q^3-10*q^2+7*q+1# NEGATIVE COEFF
3, 2, 2:    2*q^6-5*q^5+12*q^4-16*q^3+20*q^2-12*q+5# NEGATIVE COEFF
3, 2, 3:    2*q^5-5*q^4+12*q^3-12*q^2+11*q# NEGATIVE COEFF
3, 2, 4:    2*q^4-3*q^3+7*q^2-4*q+5# NEGATIVE COEFF
3, 2, 5:    q^4-3*q^3+7*q^2-6*q+5# NEGATIVE COEFF
3, 2, 6:    -q^3+3*q^2-4*q+2# NEGATIVE COEFF
3, 2, 7:    2
3, 2, 8:    q+1
3, 2, 9:    1
3, 3, 1:    2*q^6-4*q^5+11*q^4-10*q^3+16*q^2-3*q+10# NEGATIVE COEFF
3, 3, 2:    2*q^5-5*q^4+12*q^3-12*q^2+11*q# NEGATIVE COEFF
3, 3, 3:    2*q^4-3*q^3+11*q^2-2*q+14# NEGATIVE COEFF
3, 3, 4:    2*q^3+5*q+9
3, 3, 5:    2*q^3-2*q^2+6*q+6# NEGATIVE COEFF
3, 3, 7:    2*q+7
3, 3, 8:    q^2+3
3, 3, 9:    q+5
3, 3, 10:    1
3, 3, 11:    1
4, 1, 1:    2*q^7+4*q^5-3*q^4+5*q^3+q^2+4*q+4# NEGATIVE COEFF
4, 1, 2:    2*q^6-2*q^5+5*q^4-6*q^3+7*q^2-2*q+2# NEGATIVE COEFF
4, 1, 3:    2*q^5-2*q^4+7*q^3-2*q^2+6*q+6# NEGATIVE COEFF
4, 1, 4:    2*q^4+5*q^2-q+6# NEGATIVE COEFF
4, 1, 5:    2*q^4-q^3+5*q^2-q+6# NEGATIVE COEFF
4, 1, 6:    -2*q^3+3*q^2-2*q+1# NEGATIVE COEFF
4, 1, 7:    2*q+5
4, 1, 8:    q+1
4, 1, 9:    3
4, 1, 10:    1
4, 2, 1:    2*q^6-2*q^5+5*q^4-6*q^3+7*q^2-2*q+2# NEGATIVE COEFF
4, 2, 2:    2*q^5-3*q^4+7*q^3-6*q^2+8*q+1# NEGATIVE COEFF
4, 2, 3:    2*q^4-3*q^3+7*q^2-4*q+5# NEGATIVE COEFF
4, 2, 4:    2*q^3+3*q+3
4, 2, 5:    q^3-2*q^2+3*q# NEGATIVE COEFF
4, 2, 6:    -q^2+2*q-1# NEGATIVE COEFF
4, 2, 7:    1
4, 2, 8:    q+3
4, 2, 9:    2
4, 3, 1:    2*q^5-2*q^4+7*q^3-2*q^2+6*q+6# NEGATIVE COEFF
4, 3, 2:    2*q^4-3*q^3+7*q^2-4*q+5# NEGATIVE COEFF
4, 3, 3:    2*q^3+5*q+9
4, 3, 4:    2*q^2+8
4, 3, 5:    2*q^2+7
4, 3, 7:    5
4, 3, 8:    2
4, 3, 9:    3
4, 3, 10:    1
4, 4, 1:    2*q^4+5*q^2-q+6# NEGATIVE COEFF
4, 4, 2:    2*q^3+3*q+3
4, 4, 3:    2*q^2+8
4, 4, 4:    q^2+3*q+7
4, 4, 5:    q+4
4, 4, 7:    4
4, 4, 8:    q+3
4, 4, 9:    3
4, 4, 11:    1
5, 1, 1:    2*q^7-2*q^6+5*q^5-5*q^4+8*q^3-4*q^2+5*q+3# NEGATIVE COEFF
5, 1, 2:    2*q^6-3*q^5+6*q^4-8*q^3+10*q^2-5*q+4# NEGATIVE COEFF
5, 1, 3:    2*q^5-3*q^4+8*q^3-6*q^2+8*q+4# NEGATIVE COEFF
5, 1, 4:    2*q^4-q^3+5*q^2-q+6# NEGATIVE COEFF
5, 1, 5:    q^4+3*q^2-2*q+5# NEGATIVE COEFF
5, 1, 6:    -q^3+2*q^2-2*q+1# NEGATIVE COEFF
5, 1, 7:    2*q+3
5, 1, 8:    q^2+2
5, 1, 9:    q+2
5, 2, 1:    2*q^6-3*q^5+6*q^4-8*q^3+10*q^2-5*q+4# NEGATIVE COEFF
5, 2, 2:    q^5-3*q^4+6*q^3-8*q^2+8*q-3# NEGATIVE COEFF
5, 2, 3:    q^4-3*q^3+7*q^2-6*q+5# NEGATIVE COEFF
5, 2, 4:    q^3-2*q^2+3*q# NEGATIVE COEFF
5, 2, 5:    q^4+q+1
5, 2, 6:    -q^3+2*q-1# NEGATIVE COEFF
5, 2, 7:    1
5, 3, 1:    2*q^5-3*q^4+8*q^3-6*q^2+8*q+4# NEGATIVE COEFF
5, 3, 2:    q^4-3*q^3+7*q^2-6*q+5# NEGATIVE COEFF
5, 3, 3:    2*q^3-2*q^2+6*q+6# NEGATIVE COEFF
5, 3, 4:    2*q^2+7
5, 3, 5:    q^3+q^2+6
5, 3, 7:    q+5
5, 3, 8:    1
5, 3, 9:    2
5, 3, 10:    1
5, 4, 1:    2*q^4-q^3+5*q^2-q+6# NEGATIVE COEFF
5, 4, 2:    q^3-2*q^2+3*q# NEGATIVE COEFF
5, 4, 3:    2*q^2+7
5, 4, 4:    q+4
5, 4, 5:    q^2+2*q+4
5, 4, 7:    4
5, 4, 9:    1
5, 4, 10:    1
5, 5, 1:    q^4+3*q^2-2*q+5# NEGATIVE COEFF
5, 5, 2:    q^4+q+1
5, 5, 3:    q^3+q^2+6
5, 5, 4:    q^2+2*q+4
5, 5, 5:    q+2
5, 5, 7:    3
5, 5, 8:    q^2+2
5, 5, 9:    q+3
5, 5, 11:    1
6, 1, 1:    -2*q^6+4*q^5-5*q^4+8*q^3-7*q^2+3*q-1# NEGATIVE COEFF
6, 1, 2:    -2*q^5+5*q^4-7*q^3+9*q^2-7*q+2# NEGATIVE COEFF
6, 1, 3:    -2*q^4+5*q^3-7*q^2+6*q-2# NEGATIVE COEFF
6, 1, 4:    -2*q^3+3*q^2-2*q+1# NEGATIVE COEFF
6, 1, 5:    -q^3+2*q^2-2*q+1# NEGATIVE COEFF
6, 1, 6:    q^2-2*q+1# NEGATIVE COEFF
6, 2, 1:    -2*q^5+5*q^4-7*q^3+9*q^2-7*q+2# NEGATIVE COEFF
6, 2, 2:    -q^4+4*q^3-7*q^2+7*q-3# NEGATIVE COEFF
6, 2, 3:    -q^3+3*q^2-4*q+2# NEGATIVE COEFF
6, 2, 4:    -q^2+2*q-1# NEGATIVE COEFF
6, 2, 5:    -q^3+2*q-1# NEGATIVE COEFF
6, 2, 6:    q^2-q# NEGATIVE COEFF
6, 3, 1:    -2*q^4+5*q^3-7*q^2+6*q-2# NEGATIVE COEFF
6, 3, 2:    -q^3+3*q^2-4*q+2# NEGATIVE COEFF
6, 3, 6:    q-1# NEGATIVE COEFF
6, 4, 1:    -2*q^3+3*q^2-2*q+1# NEGATIVE COEFF
6, 4, 2:    -q^2+2*q-1# NEGATIVE COEFF
6, 5, 1:    -q^3+2*q^2-2*q+1# NEGATIVE COEFF
6, 5, 2:    -q^3+2*q-1# NEGATIVE COEFF
6, 6, 1:    q^2-2*q+1# NEGATIVE COEFF
6, 6, 2:    q^2-q# NEGATIVE COEFF
6, 6, 3:    q-1# NEGATIVE COEFF
6, 6, 7:    1
6, 6, 8:    q
6, 6, 11:    1
7, 1, 1:    2*q^4+3*q^2+q+5
7, 1, 2:    2*q^3-q^2+q+2# NEGATIVE COEFF
7, 1, 3:    2*q^2+q+6
7, 1, 4:    2*q+5
7, 1, 5:    2*q+3
7, 1, 7:    3
7, 1, 8:    1
7, 1, 9:    1
7, 2, 1:    2*q^3-q^2+q+2# NEGATIVE COEFF
7, 2, 2:    q^2-q+2# NEGATIVE COEFF
7, 2, 3:    2
7, 2, 4:    1
7, 2, 5:    1
7, 3, 1:    2*q^2+q+6
7, 3, 2:    2
7, 3, 3:    2*q+7
7, 3, 4:    5
7, 3, 5:    q+5
7, 3, 7:    4
7, 3, 8:    1
7, 3, 9:    2
7, 3, 10:    1
7, 4, 1:    2*q+5
7, 4, 2:    1
7, 4, 3:    5
7, 4, 4:    4
7, 4, 5:    4
7, 4, 7:    2
7, 4, 8:    1
7, 4, 9:    1
7, 5, 1:    2*q+3
7, 5, 2:    1
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, 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:    2*q^4-q^3+4*q^2-2*q+3# NEGATIVE COEFF
8, 1, 2:    q^3-q^2+2*q-1# NEGATIVE COEFF
8, 1, 3:    2*q^2-q+3# NEGATIVE COEFF
8, 1, 4:    q+1
8, 1, 5:    q^2+2
8, 1, 7:    1
8, 2, 1:    q^3-q^2+2*q-1# NEGATIVE COEFF
8, 2, 2:    q^3+q^2+q+3
8, 2, 3:    q+1
8, 2, 4:    q+3
8, 2, 8:    q+2
8, 2, 9:    1
8, 3, 1:    2*q^2-q+3# NEGATIVE COEFF
8, 3, 2:    q+1
8, 3, 3:    q^2+3
8, 3, 4:    2
8, 3, 5:    1
8, 3, 7:    1
8, 3, 9:    1
8, 4, 1:    q+1
8, 4, 2:    q+3
8, 4, 3:    2
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:    2*q^3-q^2+4*q+3# NEGATIVE COEFF
9, 1, 2:    q^2-q+2# NEGATIVE COEFF
9, 1, 3:    2*q+3
9, 1, 4:    3
9, 1, 5:    q+2
9, 1, 7:    1
9, 2, 1:    q^2-q+2# NEGATIVE COEFF
9, 2, 2:    q^2+q+2
9, 2, 3:    1
9, 2, 4:    2
9, 2, 8:    1
9, 3, 1:    2*q+3
9, 3, 2:    1
9, 3, 3:    q+5
9, 3, 4:    3
9, 3, 5:    2
9, 3, 7:    2
9, 3, 8:    1
9, 3, 9:    2
9, 4, 1:    3
9, 4, 2:    2
9, 4, 3:    3
9, 4, 4:    3
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:    2
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