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B3,sc(q) for q = 3 mod 4


Labels of unipotent almost characters:
  1:  [ [ 1, 2, 3 ], [ 0, 1 ] ]
  2:  [ [ 1, 2 ], [ 1 ] ]
  3:  [ [ 0, 1, 3 ], [ 1, 2 ] ]
  4:  [ [ 0, 1, 2, 3 ], [ 1, 2, 3 ] ]
  5:  [ [ 1, 3 ], [ 0 ] ]
  6:  [ [ 0, 2 ], [ 2 ] ]
  7:  [ [ 0, 3 ], [ 1 ] ]
  8:  [ [ 0, 1, 2 ], [ 1, 3 ] ]
  9:  [ [ 3 ], [  ] ]
 10:  [ [ 0, 1 ], [ 3 ] ]
 11:  [ [ 0, 1, 3 ], [  ] ]
 12:  [ [ 0, 1, 2, 3 ], [ 1 ] ]

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^3+q+1
1, 1, 2:    q^2+2
1, 1, 3:    -q^2+3*q# NEGATIVE COEFF
1, 1, 4:    -q^3# NEGATIVE COEFF
1, 1, 5:    q+2
1, 1, 7:    4
1, 1, 8:    -q# NEGATIVE COEFF
1, 1, 9:    1
2, 1, 1:    q^2+2
2, 1, 2:    q+2
2, 1, 3:    5
2, 1, 4:    -q^2+3*q# NEGATIVE COEFF
2, 1, 5:    2
2, 1, 6:    1
2, 1, 7:    2
2, 2, 1:    q+2
2, 2, 2:    q+8
2, 2, 3:    2*q+6
2, 2, 4:    2*q^2+8
2, 2, 5:    3
2, 2, 6:    4
2, 2, 7:    3
2, 2, 8:    5
2, 2, 9:    1
3, 1, 1:    -q^2+3*q# NEGATIVE COEFF
3, 1, 2:    5
3, 1, 3:    3*q+3
3, 1, 4:    3*q^2+4
3, 1, 6:    2
3, 1, 7:    1
3, 1, 8:    4
3, 2, 1:    5
3, 2, 2:    2*q+6
3, 2, 3:    2*q^2+2*q+12
3, 2, 4:    2*q^3+7*q+6
3, 2, 5:    2
3, 2, 6:    5
3, 2, 7:    3
3, 2, 8:    2*q+7
3, 2, 10:    1
3, 3, 1:    3*q+3
3, 3, 2:    2*q^2+2*q+12
3, 3, 3:    2*q^3+q^2+8*q+9
3, 3, 4:    2*q^4+6*q^2+2*q+10
3, 3, 5:    4
3, 3, 6:    2*q+7
3, 3, 7:    q+5
3, 3, 8:    2*q^2+2*q+8
3, 3, 9:    1
3, 3, 10:    1
4, 1, 1:    -q^3# NEGATIVE COEFF
4, 1, 2:    -q^2+3*q# NEGATIVE COEFF
4, 1, 3:    3*q^2+4
4, 1, 4:    3*q^3+3*q+2
4, 1, 5:    -q# NEGATIVE COEFF
4, 1, 6:    4
4, 1, 8:    3*q+3
4, 1, 10:    1
4, 2, 1:    -q^2+3*q# NEGATIVE COEFF
4, 2, 2:    2*q^2+8
4, 2, 3:    2*q^3+7*q+6
4, 2, 4:    2*q^4+5*q^2+q+7
4, 2, 6:    2*q+5
4, 2, 7:    3
4, 2, 8:    2*q^2+q+8
4, 2, 10:    1
4, 3, 1:    3*q^2+4
4, 3, 2:    2*q^3+7*q+6
4, 3, 3:    2*q^4+6*q^2+2*q+10
4, 3, 4:    2*q^5+4*q^3+7*q+3
4, 3, 5:    4
4, 3, 6:    2*q^2+q+6
4, 3, 7:    2*q+3
4, 3, 8:    2*q^3+q^2+4*q+4
4, 3, 10:    1
4, 4, 1:    3*q^3+3*q+2
4, 4, 2:    2*q^4+5*q^2+q+7
4, 4, 3:    2*q^5+4*q^3+7*q+3
4, 4, 4:    2*q^6+2*q^4-q^3+4*q^2+3# NEGATIVE COEFF
4, 4, 5:    3*q+3
4, 4, 6:    2*q^3+4*q+3
4, 4, 7:    2*q^2+q+5
4, 4, 8:    2*q^4+4*q^2-q+5# NEGATIVE COEFF
4, 4, 9:    1
4, 4, 10:    2
5, 1, 1:    q+2
5, 1, 2:    2
5, 1, 4:    -q# NEGATIVE COEFF
5, 1, 5:    2
5, 1, 7:    1
5, 2, 1:    2
5, 2, 2:    3
5, 2, 3:    2
5, 2, 5:    1
5, 2, 6:    1
5, 2, 7:    1
5, 3, 2:    2
5, 3, 3:    4
5, 3, 4:    4
5, 3, 6:    1
5, 3, 7:    1
5, 3, 8:    1
5, 4, 1:    -q# NEGATIVE COEFF
5, 4, 3:    4
5, 4, 4:    3*q+3
5, 4, 6:    1
5, 4, 8:    3
5, 5, 1:    2
5, 5, 2:    1
5, 5, 5:    2
5, 5, 7:    1
5, 5, 9:    1
6, 1, 2:    1
6, 1, 3:    2
6, 1, 4:    4
6, 1, 8:    1
6, 2, 1:    1
6, 2, 2:    4
6, 2, 3:    5
6, 2, 4:    2*q+5
6, 2, 5:    1
6, 2, 6:    2
6, 2, 7:    1
6, 2, 8:    4
6, 3, 1:    2
6, 3, 2:    5
6, 3, 3:    2*q+7
6, 3, 4:    2*q^2+q+6
6, 3, 5:    1
6, 3, 6:    4
6, 3, 7:    2
6, 3, 8:    q+5
6, 3, 10:    1
6, 4, 1:    4
6, 4, 2:    2*q+5
6, 4, 3:    2*q^2+q+6
6, 4, 4:    2*q^3+4*q+3
6, 4, 5:    1
6, 4, 6:    3
6, 4, 7:    1
6, 4, 8:    2*q+3
6, 5, 2:    1
6, 5, 3:    1
6, 5, 4:    1
6, 5, 6:    1
6, 5, 8:    1
6, 6, 2:    2
6, 6, 3:    4
6, 6, 4:    3
6, 6, 5:    1
6, 6, 6:    4
6, 6, 7:    2
6, 6, 8:    4
6, 6, 9:    1
6, 6, 10:    1
7, 1, 1:    4
7, 1, 2:    2
7, 1, 3:    1
7, 1, 5:    1
7, 2, 1:    2
7, 2, 2:    3
7, 2, 3:    3
7, 2, 4:    3
7, 2, 5:    1
7, 2, 6:    1
7, 2, 7:    1
7, 2, 8:    1
7, 3, 1:    1
7, 3, 2:    3
7, 3, 3:    q+5
7, 3, 4:    2*q+3
7, 3, 5:    1
7, 3, 6:    2
7, 3, 7:    2
7, 3, 8:    2
7, 4, 2:    3
7, 4, 3:    2*q+3
7, 4, 4:    2*q^2+q+5
7, 4, 6:    1
7, 4, 8:    q+2
7, 5, 1:    1
7, 5, 2:    1
7, 5, 3:    1
7, 5, 5:    1
7, 5, 7:    1
7, 6, 2:    1
7, 6, 3:    2
7, 6, 4:    1
7, 6, 6:    2
7, 6, 7:    1
7, 6, 8:    2
7, 6, 10:    1
7, 7, 2:    1
7, 7, 3:    2
7, 7, 5:    1
7, 7, 6:    1
7, 7, 7:    2
7, 7, 9:    1
8, 1, 1:    -q# NEGATIVE COEFF
8, 1, 3:    4
8, 1, 4:    3*q+3
8, 1, 6:    1
8, 1, 8:    3
8, 2, 2:    5
8, 2, 3:    2*q+7
8, 2, 4:    2*q^2+q+8
8, 2, 6:    4
8, 2, 7:    1
8, 2, 8:    q+6
8, 2, 10:    1
8, 3, 1:    4
8, 3, 2:    2*q+7
8, 3, 3:    2*q^2+2*q+8
8, 3, 4:    2*q^3+q^2+4*q+4
8, 3, 5:    1
8, 3, 6:    q+5
8, 3, 7:    2
8, 3, 8:    q^2+2*q+5
8, 3, 10:    1
8, 4, 1:    3*q+3
8, 4, 2:    2*q^2+q+8
8, 4, 3:    2*q^3+q^2+4*q+4
8, 4, 4:    2*q^4+4*q^2-q+5# NEGATIVE COEFF
8, 4, 5:    3
8, 4, 6:    2*q+3
8, 4, 7:    q+2
8, 4, 8:    2*q^2+5
8, 5, 3:    1
8, 5, 4:    3
8, 5, 6:    1
8, 5, 8:    3
8, 5, 10:    1
8, 6, 1:    1
8, 6, 2:    4
8, 6, 3:    q+5
8, 6, 4:    2*q+3
8, 6, 5:    1
8, 6, 6:    4
8, 6, 7:    2
8, 6, 8:    2*q+4
8, 6, 10:    1
8, 7, 2:    1
8, 7, 3:    2
8, 7, 4:    q+2
8, 7, 6:    2
8, 7, 8:    q+3
8, 7, 10:    1
8, 8, 1:    3
8, 8, 2:    q+6
8, 8, 3:    q^2+2*q+5
8, 8, 4:    2*q^2+5
8, 8, 5:    3
8, 8, 6:    2*q+4
8, 8, 7:    q+3
8, 8, 8:    2*q^2+5
8, 8, 9:    1
8, 8, 10:    2
9, 1, 1:    1
9, 2, 2:    1
9, 3, 3:    1
9, 4, 4:    1
9, 5, 5:    1
9, 6, 6:    1
9, 7, 7:    1
9, 8, 8:    1
9, 9, 9:    1
10, 1, 4:    1
10, 2, 3:    1
10, 2, 4:    1
10, 2, 8:    1
10, 3, 2:    1
10, 3, 3:    1
10, 3, 4:    1
10, 3, 6:    1
10, 3, 8:    1
10, 4, 1:    1
10, 4, 2:    1
10, 4, 3:    1
10, 4, 4:    2
10, 5, 8:    1
10, 6, 3:    1
10, 6, 6:    1
10, 6, 7:    1
10, 6, 8:    1
10, 6, 10:    1
10, 7, 6:    1
10, 7, 8:    1
10, 7, 10:    1
10, 8, 2:    1
10, 8, 3:    1
10, 8, 5:    1
10, 8, 6:    1
10, 8, 7:    1
10, 8, 8:    2
10, 9, 10:    1
10, 10, 6:    1
10, 10, 7:    1
10, 10, 9:    1
11, 5, 11:    1
11, 5, 12:    1
11, 7, 12:    1
11, 8, 12:    -1# NEGATIVE COEFF
11, 9, 11:    1
11, 11, 5:    1
11, 11, 9:    1
12, 5, 11:    1
12, 5, 12:    q+1
12, 6, 12:    -1# NEGATIVE COEFF
12, 7, 11:    1
12, 7, 12:    2
12, 8, 11:    -1# NEGATIVE COEFF
12, 8, 12:    -q+1# NEGATIVE COEFF
12, 9, 12:    1
12, 10, 12:    1
12, 11, 5:    1
12, 11, 7:    1
12, 11, 8:    -1# NEGATIVE COEFF
12, 12, 5:    q+1
12, 12, 6:    -1# NEGATIVE COEFF
12, 12, 7:    2
12, 12, 8:    -q+1# NEGATIVE COEFF
12, 12, 9:    1
12, 12, 10:    1

(C) 2005 Frank Lübeck