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