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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:    5*q^6+5*q^4-4*q^3+5*q^2-3*q+1# NEGATIVE COEFF
1, 1, 2:    -5*q^5+5*q^4-9*q^3+9*q^2-8*q+4# NEGATIVE COEFF
1, 1, 3:    5*q^4-5*q^3+9*q^2-7*q+5# NEGATIVE COEFF
1, 1, 4:    5*q^3-4*q^2+10*q-2# NEGATIVE COEFF
1, 1, 5:    5*q^2-4*q+5# NEGATIVE COEFF
1, 1, 6:    -4# NEGATIVE COEFF
1, 1, 7:    1
2, 1, 1:    -5*q^5+5*q^4-9*q^3+9*q^2-8*q+4# NEGATIVE COEFF
2, 1, 2:    5*q^4-9*q^3+13*q^2-17*q+8# NEGATIVE COEFF
2, 1, 3:    -5*q^3+9*q^2-12*q+8# NEGATIVE COEFF
2, 1, 4:    -4*q^2+4*q-8# NEGATIVE COEFF
2, 1, 5:    -4*q+4# NEGATIVE COEFF
2, 2, 1:    5*q^4-9*q^3+13*q^2-17*q+8# NEGATIVE COEFF
2, 2, 2:    -4*q^3+12*q^2-16*q+16# NEGATIVE COEFF
2, 2, 3:    4*q^2-12*q+12# NEGATIVE COEFF
2, 2, 4:    q^2+4*q-3# NEGATIVE COEFF
2, 2, 5:    q+5
2, 2, 7:    1
3, 1, 1:    5*q^4-5*q^3+9*q^2-7*q+5# NEGATIVE COEFF
3, 1, 2:    -5*q^3+9*q^2-12*q+8# NEGATIVE COEFF
3, 1, 3:    5*q^2-8*q+8# NEGATIVE COEFF
3, 1, 4:    5*q-3# NEGATIVE COEFF
3, 1, 5:    5
3, 2, 1:    -5*q^3+9*q^2-12*q+8# NEGATIVE COEFF
3, 2, 2:    4*q^2-12*q+12# NEGATIVE COEFF
3, 2, 3:    -4*q+8# NEGATIVE COEFF
3, 2, 4:    -4# NEGATIVE COEFF
3, 3, 1:    5*q^2-8*q+8# NEGATIVE COEFF
3, 3, 2:    -4*q+8# NEGATIVE COEFF
3, 3, 3:    q+5
3, 3, 4:    q+1
3, 3, 7:    1
4, 1, 1:    5*q^3-4*q^2+10*q-2# NEGATIVE COEFF
4, 1, 2:    -4*q^2+4*q-8# NEGATIVE COEFF
4, 1, 3:    5*q-3# NEGATIVE COEFF
4, 1, 4:    q+2
4, 1, 5:    1
4, 2, 1:    -4*q^2+4*q-8# NEGATIVE COEFF
4, 2, 2:    q^2+4*q-3# NEGATIVE COEFF
4, 2, 3:    -4# NEGATIVE COEFF
4, 2, 6:    1
4, 3, 1:    5*q-3# NEGATIVE COEFF
4, 3, 2:    -4# NEGATIVE COEFF
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:    5*q^2-4*q+5# NEGATIVE COEFF
5, 1, 2:    -4*q+4# NEGATIVE COEFF
5, 1, 3:    5
5, 1, 4:    1
5, 2, 1:    -4*q+4# NEGATIVE COEFF
5, 2, 2:    q+5
5, 2, 6:    1
5, 3, 1:    5
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, 1, 1:    -4# NEGATIVE COEFF
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