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: 3*q^10+3*q^8-3*q^7+5*q^6-3*q^5+8*q^4-q^3+5*q^2-2*q+1# NEGATIVE COEFF 1, 1, 2: 3*q^9-3*q^8+6*q^7-8*q^6+11*q^5-10*q^4+15*q^3-5*q^2+4*q-1# NEGATIVE COEFF 1, 1, 3: 3*q^8-3*q^7+9*q^6-8*q^5+16*q^4-11*q^3+17*q^2-5*q+7# NEGATIVE COEFF 1, 1, 4: 3*q^7+6*q^5-5*q^4+8*q^3+8*q+5# NEGATIVE COEFF 1, 1, 5: 3*q^7-3*q^6+8*q^5-8*q^4+13*q^3-9*q^2+9*q+2# NEGATIVE COEFF 1, 1, 6: -3*q^6+6*q^5-8*q^4+13*q^3-14*q^2+8*q-4# NEGATIVE COEFF 1, 1, 7: 3*q^4+5*q^2-q+5# NEGATIVE COEFF 1, 1, 8: 3*q^4-2*q^3+6*q^2-4*q+6# NEGATIVE COEFF 1, 1, 9: 3*q^3-2*q^2+6*q+3# NEGATIVE COEFF 1, 1, 10: 3 1, 1, 11: 1 2, 1, 1: 3*q^9-3*q^8+6*q^7-8*q^6+11*q^5-10*q^4+15*q^3-5*q^2+4*q-1# NEGATIVE COEFF 2, 1, 2: 3*q^8-6*q^7+11*q^6-16*q^5+23*q^4-24*q^3+25*q^2-15*q+4# NEGATIVE COEFF 2, 1, 3: 3*q^7-6*q^6+14*q^5-18*q^4+27*q^3-21*q^2+19*q-2# NEGATIVE COEFF 2, 1, 4: 3*q^6-3*q^5+8*q^4-10*q^3+14*q^2-6*q+7# NEGATIVE COEFF 2, 1, 5: 3*q^6-5*q^5+10*q^4-14*q^3+19*q^2-12*q+10# NEGATIVE COEFF 2, 1, 6: -3*q^5+8*q^4-12*q^3+18*q^2-17*q+6# NEGATIVE COEFF 2, 1, 7: 3*q^3-2*q^2+4*q+2# NEGATIVE COEFF 2, 1, 8: 2*q^3-2*q^2+4*q-2# NEGATIVE COEFF 2, 1, 9: 2*q^2-2*q+5# NEGATIVE COEFF 2, 1, 10: 1 2, 2, 1: 3*q^8-6*q^7+11*q^6-16*q^5+23*q^4-24*q^3+25*q^2-15*q+4# NEGATIVE COEFF 2, 2, 2: 3*q^7-8*q^6+18*q^5-26*q^4+40*q^3-38*q^2+32*q-11# NEGATIVE COEFF 2, 2, 3: 3*q^6-8*q^5+20*q^4-30*q^3+42*q^2-33*q+17# NEGATIVE COEFF 2, 2, 4: 3*q^5-5*q^4+12*q^3-12*q^2+16*q-2# NEGATIVE COEFF 2, 2, 5: 2*q^5-6*q^4+12*q^3-18*q^2+20*q-8# NEGATIVE COEFF 2, 2, 6: -2*q^4+8*q^3-16*q^2+20*q-12# NEGATIVE COEFF 2, 2, 7: 2*q^2-4*q+5# NEGATIVE COEFF 2, 2, 8: q^3+2*q^2+6 2, 2, 9: q^2+2*q+2 2, 2, 11: 1 3, 1, 1: 3*q^8-3*q^7+9*q^6-8*q^5+16*q^4-11*q^3+17*q^2-5*q+7# NEGATIVE COEFF 3, 1, 2: 3*q^7-6*q^6+14*q^5-18*q^4+27*q^3-21*q^2+19*q-2# NEGATIVE COEFF 3, 1, 3: 3*q^6-6*q^5+17*q^4-19*q^3+31*q^2-16*q+18# NEGATIVE COEFF 3, 1, 4: 3*q^5-3*q^4+11*q^3-5*q^2+12*q+5# NEGATIVE COEFF 3, 1, 5: 3*q^5-5*q^4+13*q^3-13*q^2+16*q# NEGATIVE COEFF 3, 1, 6: -3*q^4+8*q^3-14*q^2+15*q-8# NEGATIVE COEFF 3, 1, 7: 3*q^2-q+8# NEGATIVE COEFF 3, 1, 8: 3*q^2-2*q+6# NEGATIVE COEFF 3, 1, 9: 3*q+3 3, 1, 10: 1 3, 2, 1: 3*q^7-6*q^6+14*q^5-18*q^4+27*q^3-21*q^2+19*q-2# NEGATIVE COEFF 3, 2, 2: 3*q^6-8*q^5+20*q^4-30*q^3+42*q^2-33*q+17# NEGATIVE COEFF 3, 2, 3: 3*q^5-8*q^4+22*q^3-27*q^2+33*q-9# NEGATIVE COEFF 3, 2, 4: 3*q^4-5*q^3+14*q^2-10*q+13# NEGATIVE COEFF 3, 2, 5: 2*q^4-6*q^3+15*q^2-16*q+14# NEGATIVE COEFF 3, 2, 6: -2*q^3+8*q^2-14*q+10# NEGATIVE COEFF 3, 2, 7: 2*q+2 3, 2, 8: 2*q+1 3, 2, 9: 3 3, 3, 1: 3*q^6-6*q^5+17*q^4-19*q^3+31*q^2-16*q+18# NEGATIVE COEFF 3, 3, 2: 3*q^5-8*q^4+22*q^3-27*q^2+33*q-9# NEGATIVE COEFF 3, 3, 3: 3*q^4-7*q^3+24*q^2-20*q+29# NEGATIVE COEFF 3, 3, 4: 3*q^3-q^2+10*q+8# NEGATIVE COEFF 3, 3, 5: 3*q^3-6*q^2+14*q# NEGATIVE COEFF 3, 3, 6: -2*q^2+6*q-6# NEGATIVE COEFF 3, 3, 7: q+8 3, 3, 8: q^2+5 3, 3, 9: q+6 3, 3, 10: 1 3, 3, 11: 1 4, 1, 1: 3*q^7+6*q^5-5*q^4+8*q^3+8*q+5# NEGATIVE COEFF 4, 1, 2: 3*q^6-3*q^5+8*q^4-10*q^3+14*q^2-6*q+7# NEGATIVE COEFF 4, 1, 3: 3*q^5-3*q^4+11*q^3-5*q^2+12*q+5# NEGATIVE COEFF 4, 1, 4: 3*q^4+8*q^2-4*q+8# NEGATIVE COEFF 4, 1, 5: 3*q^4-2*q^3+8*q^2-3*q+8# NEGATIVE COEFF 4, 1, 6: -3*q^3+5*q^2-4*q+4# NEGATIVE COEFF 4, 1, 7: 3*q+6 4, 1, 8: 2*q+3 4, 1, 9: 4 4, 1, 10: 1 4, 2, 1: 3*q^6-3*q^5+8*q^4-10*q^3+14*q^2-6*q+7# NEGATIVE COEFF 4, 2, 2: 3*q^5-5*q^4+12*q^3-12*q^2+16*q-2# NEGATIVE COEFF 4, 2, 3: 3*q^4-5*q^3+14*q^2-10*q+13# NEGATIVE COEFF 4, 2, 4: 3*q^3+q^2+5*q+3 4, 2, 5: 2*q^3-4*q^2+6*q-1# NEGATIVE COEFF 4, 2, 6: -2*q^2+4*q-2# NEGATIVE COEFF 4, 2, 7: 3 4, 2, 8: q+4 4, 2, 9: 4 4, 3, 1: 3*q^5-3*q^4+11*q^3-5*q^2+12*q+5# NEGATIVE COEFF 4, 3, 2: 3*q^4-5*q^3+14*q^2-10*q+13# NEGATIVE COEFF 4, 3, 3: 3*q^3-q^2+10*q+8# NEGATIVE COEFF 4, 3, 4: 3*q^2+12 4, 3, 5: 3*q^2-q+9# NEGATIVE COEFF 4, 3, 7: 6 4, 3, 8: 4 4, 3, 9: 3 4, 3, 10: 1 4, 4, 1: 3*q^4+8*q^2-4*q+8# NEGATIVE COEFF 4, 4, 2: 3*q^3+q^2+5*q+3 4, 4, 3: 3*q^2+12 4, 4, 4: 3*q^2+4*q+12 4, 4, 5: 5 4, 4, 6: -2*q# NEGATIVE COEFF 4, 4, 7: 3 4, 4, 8: q+3 4, 4, 9: 5 4, 4, 11: 1 5, 1, 1: 3*q^7-3*q^6+8*q^5-8*q^4+13*q^3-9*q^2+9*q+2# NEGATIVE COEFF 5, 1, 2: 3*q^6-5*q^5+10*q^4-14*q^3+19*q^2-12*q+10# NEGATIVE COEFF 5, 1, 3: 3*q^5-5*q^4+13*q^3-13*q^2+16*q# NEGATIVE COEFF 5, 1, 4: 3*q^4-2*q^3+8*q^2-3*q+8# NEGATIVE COEFF 5, 1, 5: 2*q^4-q^3+6*q^2-6*q+6# NEGATIVE COEFF 5, 1, 6: -2*q^3+4*q^2-6*q+4# NEGATIVE COEFF 5, 1, 7: 3*q+2 5, 1, 8: q^2+2 5, 1, 9: q+2 5, 2, 1: 3*q^6-5*q^5+10*q^4-14*q^3+19*q^2-12*q+10# NEGATIVE COEFF 5, 2, 2: 2*q^5-6*q^4+12*q^3-18*q^2+20*q-8# NEGATIVE COEFF 5, 2, 3: 2*q^4-6*q^3+15*q^2-16*q+14# NEGATIVE COEFF 5, 2, 4: 2*q^3-4*q^2+6*q-1# NEGATIVE COEFF 5, 2, 5: q^4+q^3-2*q^2+5*q-2# NEGATIVE COEFF 5, 2, 6: -q^3-q^2+6*q-4# NEGATIVE COEFF 5, 2, 7: 3 5, 3, 1: 3*q^5-5*q^4+13*q^3-13*q^2+16*q# NEGATIVE COEFF 5, 3, 2: 2*q^4-6*q^3+15*q^2-16*q+14# NEGATIVE COEFF 5, 3, 3: 3*q^3-6*q^2+14*q# NEGATIVE COEFF 5, 3, 4: 3*q^2-q+9# NEGATIVE COEFF 5, 3, 5: q^3+2*q^2-3*q+8# NEGATIVE COEFF 5, 3, 6: -2*q+2# NEGATIVE COEFF 5, 3, 7: q+4 5, 3, 8: 1 5, 3, 9: 2 5, 3, 10: 1 5, 4, 1: 3*q^4-2*q^3+8*q^2-3*q+8# NEGATIVE COEFF 5, 4, 2: 2*q^3-4*q^2+6*q-1# NEGATIVE COEFF 5, 4, 3: 3*q^2-q+9# NEGATIVE COEFF 5, 4, 4: 5 5, 4, 5: q^2+3*q+4 5, 4, 7: 3 5, 4, 9: 1 5, 4, 10: 1 5, 5, 1: 2*q^4-q^3+6*q^2-6*q+6# NEGATIVE COEFF 5, 5, 2: q^4+q^3-2*q^2+5*q-2# NEGATIVE COEFF 5, 5, 3: q^3+2*q^2-3*q+8# NEGATIVE COEFF 5, 5, 4: q^2+3*q+4 5, 5, 5: 2*q+1 5, 5, 6: -2# NEGATIVE COEFF 5, 5, 7: 2 5, 5, 8: q^2+2 5, 5, 9: q+3 5, 5, 11: 1 6, 1, 1: -3*q^6+6*q^5-8*q^4+13*q^3-14*q^2+8*q-4# NEGATIVE COEFF 6, 1, 2: -3*q^5+8*q^4-12*q^3+18*q^2-17*q+6# NEGATIVE COEFF 6, 1, 3: -3*q^4+8*q^3-14*q^2+15*q-8# NEGATIVE COEFF 6, 1, 4: -3*q^3+5*q^2-4*q+4# NEGATIVE COEFF 6, 1, 5: -2*q^3+4*q^2-6*q+4# NEGATIVE COEFF 6, 1, 6: 2*q^2-6*q+4# NEGATIVE COEFF 6, 1, 7: -2# NEGATIVE COEFF 6, 2, 1: -3*q^5+8*q^4-12*q^3+18*q^2-17*q+6# NEGATIVE COEFF 6, 2, 2: -2*q^4+8*q^3-16*q^2+20*q-12# NEGATIVE COEFF 6, 2, 3: -2*q^3+8*q^2-14*q+10# NEGATIVE COEFF 6, 2, 4: -2*q^2+4*q-2# NEGATIVE COEFF 6, 2, 5: -q^3-q^2+6*q-4# NEGATIVE COEFF 6, 2, 6: q^2+q-4# NEGATIVE COEFF 6, 3, 1: -3*q^4+8*q^3-14*q^2+15*q-8# NEGATIVE COEFF 6, 3, 2: -2*q^3+8*q^2-14*q+10# NEGATIVE COEFF 6, 3, 3: -2*q^2+6*q-6# NEGATIVE COEFF 6, 3, 5: -2*q+2# NEGATIVE COEFF 6, 4, 1: -3*q^3+5*q^2-4*q+4# NEGATIVE COEFF 6, 4, 2: -2*q^2+4*q-2# NEGATIVE COEFF 6, 4, 4: -2*q# NEGATIVE COEFF 6, 4, 6: 2 6, 5, 1: -2*q^3+4*q^2-6*q+4# NEGATIVE COEFF 6, 5, 2: -q^3-q^2+6*q-4# NEGATIVE COEFF 6, 5, 3: -2*q+2# NEGATIVE COEFF 6, 5, 5: -2# NEGATIVE COEFF 6, 6, 1: 2*q^2-6*q+4# NEGATIVE COEFF 6, 6, 2: q^2+q-4# NEGATIVE COEFF 6, 6, 4: 2 6, 6, 8: q 6, 6, 11: 1 7, 1, 1: 3*q^4+5*q^2-q+5# NEGATIVE COEFF 7, 1, 2: 3*q^3-2*q^2+4*q+2# NEGATIVE COEFF 7, 1, 3: 3*q^2-q+8# NEGATIVE COEFF 7, 1, 4: 3*q+6 7, 1, 5: 3*q+2 7, 1, 6: -2# NEGATIVE COEFF 7, 1, 7: 2 7, 1, 8: 1 7, 1, 9: 1 7, 2, 1: 3*q^3-2*q^2+4*q+2# NEGATIVE COEFF 7, 2, 2: 2*q^2-4*q+5# NEGATIVE COEFF 7, 2, 3: 2*q+2 7, 2, 4: 3 7, 2, 5: 3 7, 3, 1: 3*q^2-q+8# NEGATIVE COEFF 7, 3, 2: 2*q+2 7, 3, 3: q+8 7, 3, 4: 6 7, 3, 5: q+4 7, 3, 7: 3 7, 3, 8: 1 7, 3, 9: 2 7, 3, 10: 1 7, 4, 1: 3*q+6 7, 4, 2: 3 7, 4, 3: 6 7, 4, 4: 3 7, 4, 5: 3 7, 4, 7: 2 7, 4, 8: 1 7, 4, 9: 1 7, 5, 1: 3*q+2 7, 5, 2: 3 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, 6, 1: -2# NEGATIVE COEFF 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: 3*q^4-2*q^3+6*q^2-4*q+6# NEGATIVE COEFF 8, 1, 2: 2*q^3-2*q^2+4*q-2# NEGATIVE COEFF 8, 1, 3: 3*q^2-2*q+6# NEGATIVE COEFF 8, 1, 4: 2*q+3 8, 1, 5: q^2+2 8, 1, 7: 1 8, 2, 1: 2*q^3-2*q^2+4*q-2# NEGATIVE COEFF 8, 2, 2: q^3+2*q^2+6 8, 2, 3: 2*q+1 8, 2, 4: q+4 8, 2, 8: q+2 8, 2, 9: 1 8, 3, 1: 3*q^2-2*q+6# NEGATIVE COEFF 8, 3, 2: 2*q+1 8, 3, 3: q^2+5 8, 3, 4: 4 8, 3, 5: 1 8, 3, 7: 1 8, 3, 9: 1 8, 4, 1: 2*q+3 8, 4, 2: q+4 8, 4, 3: 4 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: 3*q^3-2*q^2+6*q+3# NEGATIVE COEFF 9, 1, 2: 2*q^2-2*q+5# NEGATIVE COEFF 9, 1, 3: 3*q+3 9, 1, 4: 4 9, 1, 5: q+2 9, 1, 7: 1 9, 2, 1: 2*q^2-2*q+5# NEGATIVE COEFF 9, 2, 2: q^2+2*q+2 9, 2, 3: 3 9, 2, 4: 4 9, 2, 8: 1 9, 3, 1: 3*q+3 9, 3, 2: 3 9, 3, 3: q+6 9, 3, 4: 3 9, 3, 5: 2 9, 3, 7: 2 9, 3, 8: 1 9, 3, 9: 2 9, 4, 1: 4 9, 4, 2: 4 9, 4, 3: 3 9, 4, 4: 5 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: 3 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