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GU₆(q) for any q, or SU₆(q) for q = 4 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:    q^10+q^8-q^7+q^6-q^5+2*q^4+q^3+q^2+1# NEGATIVE COEFF
1, 1, 2:    q^9-q^8+2*q^7-2*q^6+3*q^5-2*q^4+3*q^3+q^2+1# NEGATIVE COEFF
1, 1, 3:    q^8-q^7+3*q^6-2*q^5+4*q^4-q^3+3*q^2+q+3# NEGATIVE COEFF
1, 1, 4:    q^7+2*q^5-q^4+2*q^3+2*q^2+2*q+3# NEGATIVE COEFF
1, 1, 5:    q^7-q^6+2*q^5-2*q^4+3*q^3-q^2+q+2# NEGATIVE COEFF
1, 1, 6:    -q^6+2*q^5-2*q^4+3*q^3-2*q^2# NEGATIVE COEFF
1, 1, 7:    q^4+q^2+q+3
1, 1, 8:    q^4+2*q^2+2
1, 1, 9:    q^3+2*q+3
1, 1, 10:    1
1, 1, 11:    1
2, 1, 1:    q^9-q^8+2*q^7-2*q^6+3*q^5-2*q^4+3*q^3+q^2+1# NEGATIVE COEFF
2, 1, 2:    q^8-2*q^7+3*q^6-4*q^5+5*q^4-4*q^3+3*q^2-q# NEGATIVE COEFF
2, 1, 3:    q^7-2*q^6+4*q^5-4*q^4+5*q^3-q^2+q+2# NEGATIVE COEFF
2, 1, 4:    q^6-q^5+2*q^4-2*q^3+2*q^2+1# NEGATIVE COEFF
2, 1, 5:    q^6-q^5+2*q^4-2*q^3+3*q^2+2# NEGATIVE COEFF
2, 1, 6:    -q^5+2*q^4-2*q^3+2*q^2-q# NEGATIVE COEFF
2, 1, 7:    q^3+2
2, 1, 9:    1
2, 1, 10:    1
2, 2, 1:    q^8-2*q^7+3*q^6-4*q^5+5*q^4-4*q^3+3*q^2-q# NEGATIVE COEFF
2, 2, 2:    q^7-2*q^6+4*q^5-4*q^4+6*q^3-2*q^2+2*q+1# NEGATIVE COEFF
2, 2, 3:    q^6-2*q^5+4*q^4-4*q^3+4*q^2-q+1# NEGATIVE COEFF
2, 2, 4:    q^5-q^4+2*q^3+2*q+2# NEGATIVE COEFF
2, 2, 7:    1
2, 2, 8:    q^3+2*q+2
2, 2, 9:    q^2+2
2, 2, 11:    1
3, 1, 1:    q^8-q^7+3*q^6-2*q^5+4*q^4-q^3+3*q^2+q+3# NEGATIVE COEFF
3, 1, 2:    q^7-2*q^6+4*q^5-4*q^4+5*q^3-q^2+q+2# NEGATIVE COEFF
3, 1, 3:    q^6-2*q^5+5*q^4-3*q^3+5*q^2+2*q+6# NEGATIVE COEFF
3, 1, 4:    q^5-q^4+3*q^3+q^2+2*q+5# NEGATIVE COEFF
3, 1, 5:    q^5-q^4+3*q^3-q^2+2*q+4# NEGATIVE COEFF
3, 1, 6:    -q^4+2*q^3-2*q^2+q# NEGATIVE COEFF
3, 1, 7:    q^2+q+4
3, 1, 8:    q^2+2
3, 1, 9:    q+3
3, 1, 10:    1
3, 2, 1:    q^7-2*q^6+4*q^5-4*q^4+5*q^3-q^2+q+2# NEGATIVE COEFF
3, 2, 2:    q^6-2*q^5+4*q^4-4*q^3+4*q^2-q+1# NEGATIVE COEFF
3, 2, 3:    q^5-2*q^4+4*q^3-q^2+q+3# NEGATIVE COEFF
3, 2, 4:    q^4-q^3+2*q^2+3# NEGATIVE COEFF
3, 2, 5:    q^2+2
3, 2, 7:    2
3, 2, 8:    1
3, 2, 9:    1
3, 3, 1:    q^6-2*q^5+5*q^4-3*q^3+5*q^2+2*q+6# NEGATIVE COEFF
3, 3, 2:    q^5-2*q^4+4*q^3-q^2+q+3# NEGATIVE COEFF
3, 3, 3:    q^4-q^3+4*q^2+2*q+9# NEGATIVE COEFF
3, 3, 4:    q^3+q^2+2*q+8
3, 3, 5:    q^3+2*q+6
3, 3, 7:    q+6
3, 3, 8:    q^2+3
3, 3, 9:    q+4
3, 3, 10:    1
3, 3, 11:    1
4, 1, 1:    q^7+2*q^5-q^4+2*q^3+2*q^2+2*q+3# NEGATIVE COEFF
4, 1, 2:    q^6-q^5+2*q^4-2*q^3+2*q^2+1# NEGATIVE COEFF
4, 1, 3:    q^5-q^4+3*q^3+q^2+2*q+5# NEGATIVE COEFF
4, 1, 4:    q^4+2*q^2+4
4, 1, 5:    q^4+2*q^2+q+4
4, 1, 6:    -q^3+q^2# NEGATIVE COEFF
4, 1, 7:    q+4
4, 1, 8:    1
4, 1, 9:    2
4, 1, 10:    1
4, 2, 1:    q^6-q^5+2*q^4-2*q^3+2*q^2+1# NEGATIVE COEFF
4, 2, 2:    q^5-q^4+2*q^3+2*q+2# NEGATIVE COEFF
4, 2, 3:    q^4-q^3+2*q^2+3# NEGATIVE COEFF
4, 2, 4:    q^3+q^2+q+3
4, 2, 5:    1
4, 2, 7:    1
4, 2, 8:    q+2
4, 2, 9:    2
4, 3, 1:    q^5-q^4+3*q^3+q^2+2*q+5# NEGATIVE COEFF
4, 3, 2:    q^4-q^3+2*q^2+3# NEGATIVE COEFF
4, 3, 3:    q^3+q^2+2*q+8
4, 3, 4:    q^2+6
4, 3, 5:    q^2+q+5
4, 3, 7:    4
4, 3, 8:    2
4, 3, 9:    3
4, 3, 10:    1
4, 4, 1:    q^4+2*q^2+4
4, 4, 2:    q^3+q^2+q+3
4, 4, 3:    q^2+6
4, 4, 4:    q^2+2*q+6
4, 4, 5:    3
4, 4, 7:    3
4, 4, 8:    q+3
4, 4, 9:    3
4, 4, 11:    1
5, 1, 1:    q^7-q^6+2*q^5-2*q^4+3*q^3-q^2+q+2# NEGATIVE COEFF
5, 1, 2:    q^6-q^5+2*q^4-2*q^3+3*q^2+2# NEGATIVE COEFF
5, 1, 3:    q^5-q^4+3*q^3-q^2+2*q+4# NEGATIVE COEFF
5, 1, 4:    q^4+2*q^2+q+4
5, 1, 5:    q^3+2
5, 1, 7:    q+2
5, 1, 8:    q^2+2
5, 1, 9:    q+2
5, 2, 1:    q^6-q^5+2*q^4-2*q^3+3*q^2+2# NEGATIVE COEFF
5, 2, 3:    q^2+2
5, 2, 4:    1
5, 2, 5:    q^4-q^3+2*q^2-q+2# NEGATIVE COEFF
5, 2, 6:    -q^3+q^2# NEGATIVE COEFF
5, 2, 7:    1
5, 3, 1:    q^5-q^4+3*q^3-q^2+2*q+4# NEGATIVE COEFF
5, 3, 2:    q^2+2
5, 3, 3:    q^3+2*q+6
5, 3, 4:    q^2+q+5
5, 3, 5:    q^3+q+4
5, 3, 7:    q+4
5, 3, 8:    1
5, 3, 9:    2
5, 3, 10:    1
5, 4, 1:    q^4+2*q^2+q+4
5, 4, 2:    1
5, 4, 3:    q^2+q+5
5, 4, 4:    3
5, 4, 5:    q^2+q+4
5, 4, 7:    3
5, 4, 9:    1
5, 4, 10:    1
5, 5, 1:    q^3+2
5, 5, 2:    q^4-q^3+2*q^2-q+2# NEGATIVE COEFF
5, 5, 3:    q^3+q+4
5, 5, 4:    q^2+q+4
5, 5, 5:    1
5, 5, 7:    2
5, 5, 8:    q^2+2
5, 5, 9:    q+3
5, 5, 11:    1
6, 1, 1:    -q^6+2*q^5-2*q^4+3*q^3-2*q^2# NEGATIVE COEFF
6, 1, 2:    -q^5+2*q^4-2*q^3+2*q^2-q# NEGATIVE COEFF
6, 1, 3:    -q^4+2*q^3-2*q^2+q# NEGATIVE COEFF
6, 1, 4:    -q^3+q^2# NEGATIVE COEFF
6, 2, 1:    -q^5+2*q^4-2*q^3+2*q^2-q# NEGATIVE COEFF
6, 2, 5:    -q^3+q^2# NEGATIVE COEFF
6, 2, 6:    q^2-q# NEGATIVE COEFF
6, 3, 1:    -q^4+2*q^3-2*q^2+q# NEGATIVE COEFF
6, 4, 1:    -q^3+q^2# NEGATIVE COEFF
6, 5, 2:    -q^3+q^2# NEGATIVE COEFF
6, 6, 2:    q^2-q# NEGATIVE COEFF
6, 6, 8:    q
6, 6, 11:    1
7, 1, 1:    q^4+q^2+q+3
7, 1, 2:    q^3+2
7, 1, 3:    q^2+q+4
7, 1, 4:    q+4
7, 1, 5:    q+2
7, 1, 7:    2
7, 1, 8:    1
7, 1, 9:    1
7, 2, 1:    q^3+2
7, 2, 2:    1
7, 2, 3:    2
7, 2, 4:    1
7, 2, 5:    1
7, 3, 1:    q^2+q+4
7, 3, 2:    2
7, 3, 3:    q+6
7, 3, 4:    4
7, 3, 5:    q+4
7, 3, 7:    3
7, 3, 8:    1
7, 3, 9:    2
7, 3, 10:    1
7, 4, 1:    q+4
7, 4, 2:    1
7, 4, 3:    4
7, 4, 4:    3
7, 4, 5:    3
7, 4, 7:    2
7, 4, 8:    1
7, 4, 9:    1
7, 5, 1:    q+2
7, 5, 2:    1
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, 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:    q^4+2*q^2+2
8, 1, 3:    q^2+2
8, 1, 4:    1
8, 1, 5:    q^2+2
8, 1, 7:    1
8, 2, 2:    q^3+2*q+2
8, 2, 3:    1
8, 2, 4:    q+2
8, 2, 8:    q+2
8, 2, 9:    1
8, 3, 1:    q^2+2
8, 3, 2:    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:    1
8, 4, 2:    q+2
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:    q^3+2*q+3
9, 1, 2:    1
9, 1, 3:    q+3
9, 1, 4:    2
9, 1, 5:    q+2
9, 1, 7:    1
9, 2, 1:    1
9, 2, 2:    q^2+2
9, 2, 3:    1
9, 2, 4:    2
9, 2, 8:    1
9, 3, 1:    q+3
9, 3, 2:    1
9, 3, 3:    q+4
9, 3, 4:    3
9, 3, 5:    2
9, 3, 7:    2
9, 3, 8:    1
9, 3, 9:    2
9, 4, 1:    2
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:    1
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