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GU₅(q) for any q, or SU₅(q) for q <> 4 mod 5

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

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^6+q^4+q^2+q+1
1, 1, 2:    -q^5+q^4-q^3+q^2# NEGATIVE COEFF
1, 1, 3:    q^4-q^3+q^2+q+1# NEGATIVE COEFF
1, 1, 4:    q^3+2*q+2
1, 1, 5:    q^2+1
1, 1, 7:    1
2, 1, 1:    -q^5+q^4-q^3+q^2# NEGATIVE COEFF
2, 1, 2:    q^4-q^3+q^2-q# NEGATIVE COEFF
2, 1, 3:    -q^3+q^2# NEGATIVE COEFF
2, 2, 1:    q^4-q^3+q^2-q# NEGATIVE COEFF
2, 2, 4:    q^2+1
2, 2, 5:    q+1
2, 2, 7:    1
3, 1, 1:    q^4-q^3+q^2+q+1# NEGATIVE COEFF
3, 1, 2:    -q^3+q^2# NEGATIVE COEFF
3, 1, 3:    q^2
3, 1, 4:    q+1
3, 1, 5:    1
3, 2, 1:    -q^3+q^2# NEGATIVE COEFF
3, 3, 1:    q^2
3, 3, 3:    q+1
3, 3, 4:    q+1
3, 3, 7:    1
4, 1, 1:    q^3+2*q+2
4, 1, 3:    q+1
4, 1, 4:    q+2
4, 1, 5:    1
4, 2, 2:    q^2+1
4, 2, 6:    1
4, 3, 1:    q+1
4, 3, 3:    q+1
4, 3, 4:    1
4, 4, 1:    q+2
4, 4, 3:    1
4, 4, 4:    q+2
4, 4, 5:    1
4, 4, 7:    1
5, 1, 1:    q^2+1
5, 1, 3:    1
5, 1, 4:    1
5, 2, 2:    q+1
5, 2, 6:    1
5, 3, 1:    1
5, 4, 1:    1
5, 4, 4:    1
5, 4, 5:    1
5, 5, 4:    1
5, 5, 5:    1
5, 5, 7:    1
6, 2, 4:    1
6, 2, 5:    1
6, 4, 2:    1
6, 5, 2:    1
6, 5, 6:    1
6, 6, 5:    1
6, 6, 7:    1
7, 1, 1:    1
7, 2, 2:    1
7, 3, 3:    1
7, 4, 4:    1
7, 5, 5:    1
7, 6, 6:    1
7, 7, 7:    1

(C) 2005 Frank Lübeck