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: 6*q^10+6*q^8-6*q^7+11*q^6-6*q^5+17*q^4-3*q^3+11*q^2-4*q+2# NEGATIVE COEFF 1, 1, 2: 6*q^9-6*q^8+12*q^7-17*q^6+23*q^5-22*q^4+32*q^3-16*q^2+11*q-3# NEGATIVE COEFF 1, 1, 3: 6*q^8-6*q^7+18*q^6-17*q^5+34*q^4-25*q^3+37*q^2-14*q+13# NEGATIVE COEFF 1, 1, 4: 6*q^7+12*q^5-11*q^4+17*q^3-5*q^2+16*q+6# NEGATIVE COEFF 1, 1, 5: 6*q^7-6*q^6+17*q^5-17*q^4+28*q^3-20*q^2+23*q+1# NEGATIVE COEFF 1, 1, 6: -6*q^6+12*q^5-17*q^4+28*q^3-31*q^2+21*q-11# NEGATIVE COEFF 1, 1, 7: 6*q^4+11*q^2-3*q+9# NEGATIVE COEFF 1, 1, 8: 6*q^4-5*q^3+12*q^2-10*q+11# NEGATIVE COEFF 1, 1, 9: 6*q^3-5*q^2+12*q+1# NEGATIVE COEFF 1, 1, 10: 6 1, 1, 11: 1 2, 1, 1: 6*q^9-6*q^8+12*q^7-17*q^6+23*q^5-22*q^4+32*q^3-16*q^2+11*q-3# NEGATIVE COEFF 2, 1, 2: 6*q^8-12*q^7+23*q^6-34*q^5+50*q^4-53*q^3+56*q^2-38*q+11# NEGATIVE COEFF 2, 1, 3: 6*q^7-12*q^6+29*q^5-39*q^4+59*q^3-52*q^2+47*q-11# NEGATIVE COEFF 2, 1, 4: 6*q^6-6*q^5+17*q^4-22*q^3+31*q^2-16*q+14# NEGATIVE COEFF 2, 1, 5: 6*q^6-11*q^5+22*q^4-32*q^3+42*q^2-31*q+22# NEGATIVE COEFF 2, 1, 6: -6*q^5+17*q^4-27*q^3+41*q^2-41*q+18# NEGATIVE COEFF 2, 1, 7: 6*q^3-5*q^2+9*q# NEGATIVE COEFF 2, 1, 8: 5*q^3-5*q^2+10*q-7# NEGATIVE COEFF 2, 1, 9: 5*q^2-5*q+10# NEGATIVE COEFF 2, 1, 10: 1 2, 2, 1: 6*q^8-12*q^7+23*q^6-34*q^5+50*q^4-53*q^3+56*q^2-38*q+11# NEGATIVE COEFF 2, 2, 2: 6*q^7-17*q^6+39*q^5-59*q^4+90*q^3-92*q^2+79*q-32# NEGATIVE COEFF 2, 2, 3: 6*q^6-17*q^5+44*q^4-68*q^3+96*q^2-82*q+43# NEGATIVE COEFF 2, 2, 4: 6*q^5-11*q^4+27*q^3-32*q^2+40*q-11# NEGATIVE COEFF 2, 2, 5: 5*q^5-15*q^4+30*q^3-44*q^2+50*q-25# NEGATIVE COEFF 2, 2, 6: -5*q^4+20*q^3-39*q^2+49*q-33# NEGATIVE COEFF 2, 2, 7: 5*q^2-9*q+10# NEGATIVE COEFF 2, 2, 8: q^3+5*q^2-3*q+11# NEGATIVE COEFF 2, 2, 9: q^2+5*q 2, 2, 11: 1 3, 1, 1: 6*q^8-6*q^7+18*q^6-17*q^5+34*q^4-25*q^3+37*q^2-14*q+13# NEGATIVE COEFF 3, 1, 2: 6*q^7-12*q^6+29*q^5-39*q^4+59*q^3-52*q^2+47*q-11# NEGATIVE COEFF 3, 1, 3: 6*q^6-12*q^5+35*q^4-42*q^3+68*q^2-43*q+36# NEGATIVE COEFF 3, 1, 4: 6*q^5-6*q^4+23*q^3-16*q^2+28*q+2# NEGATIVE COEFF 3, 1, 5: 6*q^5-11*q^4+28*q^3-30*q^2+38*q-8# NEGATIVE COEFF 3, 1, 6: -6*q^4+17*q^3-31*q^2+36*q-22# NEGATIVE COEFF 3, 1, 7: 6*q^2-3*q+14# NEGATIVE COEFF 3, 1, 8: 6*q^2-5*q+11# NEGATIVE COEFF 3, 1, 9: 6*q+1 3, 1, 10: 1 3, 2, 1: 6*q^7-12*q^6+29*q^5-39*q^4+59*q^3-52*q^2+47*q-11# NEGATIVE COEFF 3, 2, 2: 6*q^6-17*q^5+44*q^4-68*q^3+96*q^2-82*q+43# NEGATIVE COEFF 3, 2, 3: 6*q^5-17*q^4+48*q^3-66*q^2+81*q-34# NEGATIVE COEFF 3, 2, 4: 6*q^4-11*q^3+31*q^2-28*q+27# NEGATIVE COEFF 3, 2, 5: 5*q^4-15*q^3+35*q^2-40*q+33# NEGATIVE COEFF 3, 2, 6: -5*q^3+19*q^2-34*q+28# NEGATIVE COEFF 3, 2, 7: 4*q 3, 2, 8: 5*q-1# NEGATIVE COEFF 3, 2, 9: 5 3, 3, 1: 6*q^6-12*q^5+35*q^4-42*q^3+68*q^2-43*q+36# NEGATIVE COEFF 3, 3, 2: 6*q^5-17*q^4+48*q^3-66*q^2+81*q-34# NEGATIVE COEFF 3, 3, 3: 6*q^4-15*q^3+51*q^2-52*q+60# NEGATIVE COEFF 3, 3, 4: 6*q^3-6*q^2+25*q+1# NEGATIVE COEFF 3, 3, 5: 6*q^3-14*q^2+32*q-12# NEGATIVE COEFF 3, 3, 6: -4*q^2+14*q-18# NEGATIVE COEFF 3, 3, 7: 2*q+11 3, 3, 8: q^2+7 3, 3, 9: q+7 3, 3, 10: 1 3, 3, 11: 1 4, 1, 1: 6*q^7+12*q^5-11*q^4+17*q^3-5*q^2+16*q+6# NEGATIVE COEFF 4, 1, 2: 6*q^6-6*q^5+17*q^4-22*q^3+31*q^2-16*q+14# NEGATIVE COEFF 4, 1, 3: 6*q^5-6*q^4+23*q^3-16*q^2+28*q+2# NEGATIVE COEFF 4, 1, 4: 6*q^4+17*q^2-9*q+14# NEGATIVE COEFF 4, 1, 5: 6*q^4-5*q^3+17*q^2-11*q+14# NEGATIVE COEFF 4, 1, 6: -6*q^3+11*q^2-12*q+11# NEGATIVE COEFF 4, 1, 7: 6*q+7 4, 1, 8: 5*q+3 4, 1, 9: 7 4, 1, 10: 1 4, 2, 1: 6*q^6-6*q^5+17*q^4-22*q^3+31*q^2-16*q+14# NEGATIVE COEFF 4, 2, 2: 6*q^5-11*q^4+27*q^3-32*q^2+40*q-11# NEGATIVE COEFF 4, 2, 3: 6*q^4-11*q^3+31*q^2-28*q+27# NEGATIVE COEFF 4, 2, 4: 6*q^3-2*q^2+13*q-1# NEGATIVE COEFF 4, 2, 5: 5*q^3-10*q^2+17*q-8# NEGATIVE COEFF 4, 2, 6: -5*q^2+12*q-9# NEGATIVE COEFF 4, 2, 7: 5 4, 2, 8: q+7 4, 2, 9: 4 4, 3, 1: 6*q^5-6*q^4+23*q^3-16*q^2+28*q+2# NEGATIVE COEFF 4, 3, 2: 6*q^4-11*q^3+31*q^2-28*q+27# NEGATIVE COEFF 4, 3, 3: 6*q^3-6*q^2+25*q+1# NEGATIVE COEFF 4, 3, 4: 6*q^2-2*q+20# NEGATIVE COEFF 4, 3, 5: 6*q^2-6*q+17# NEGATIVE COEFF 4, 3, 6: -2*q+4# NEGATIVE COEFF 4, 3, 7: 7 4, 3, 8: 4 4, 3, 9: 3 4, 3, 10: 1 4, 4, 1: 6*q^4+17*q^2-9*q+14# NEGATIVE COEFF 4, 4, 2: 6*q^3-2*q^2+13*q-1# NEGATIVE COEFF 4, 4, 3: 6*q^2-2*q+20# NEGATIVE COEFF 4, 4, 4: 3*q^2+7*q+13 4, 4, 5: 3*q+6 4, 4, 6: -2*q-2# NEGATIVE COEFF 4, 4, 7: 4 4, 4, 8: q+3 4, 4, 9: 5 4, 4, 11: 1 5, 1, 1: 6*q^7-6*q^6+17*q^5-17*q^4+28*q^3-20*q^2+23*q+1# NEGATIVE COEFF 5, 1, 2: 6*q^6-11*q^5+22*q^4-32*q^3+42*q^2-31*q+22# NEGATIVE COEFF 5, 1, 3: 6*q^5-11*q^4+28*q^3-30*q^2+38*q-8# NEGATIVE COEFF 5, 1, 4: 6*q^4-5*q^3+17*q^2-11*q+14# NEGATIVE COEFF 5, 1, 5: 5*q^4-4*q^3+15*q^2-14*q+15# NEGATIVE COEFF 5, 1, 6: -5*q^3+10*q^2-14*q+11# NEGATIVE COEFF 5, 1, 7: 6*q+3 5, 1, 8: q^2+2 5, 1, 9: q+2 5, 2, 1: 6*q^6-11*q^5+22*q^4-32*q^3+42*q^2-31*q+22# NEGATIVE COEFF 5, 2, 2: 5*q^5-15*q^4+30*q^3-44*q^2+50*q-25# NEGATIVE COEFF 5, 2, 3: 5*q^4-15*q^3+35*q^2-40*q+33# NEGATIVE COEFF 5, 2, 4: 5*q^3-10*q^2+17*q-8# NEGATIVE COEFF 5, 2, 5: q^4+4*q^3-8*q^2+13*q-9# NEGATIVE COEFF 5, 2, 6: -q^3-4*q^2+14*q-11# NEGATIVE COEFF 5, 2, 7: 5 5, 3, 1: 6*q^5-11*q^4+28*q^3-30*q^2+38*q-8# NEGATIVE COEFF 5, 3, 2: 5*q^4-15*q^3+35*q^2-40*q+33# NEGATIVE COEFF 5, 3, 3: 6*q^3-14*q^2+32*q-12# NEGATIVE COEFF 5, 3, 4: 6*q^2-6*q+17# NEGATIVE COEFF 5, 3, 5: q^3+5*q^2-8*q+16# NEGATIVE COEFF 5, 3, 6: -4*q+6# NEGATIVE COEFF 5, 3, 7: q+5 5, 3, 8: 1 5, 3, 9: 2 5, 3, 10: 1 5, 4, 1: 6*q^4-5*q^3+17*q^2-11*q+14# NEGATIVE COEFF 5, 4, 2: 5*q^3-10*q^2+17*q-8# NEGATIVE COEFF 5, 4, 3: 6*q^2-6*q+17# NEGATIVE COEFF 5, 4, 4: 3*q+6 5, 4, 5: q^2+6*q+2 5, 4, 6: -2# NEGATIVE COEFF 5, 4, 7: 4 5, 4, 9: 1 5, 4, 10: 1 5, 5, 1: 5*q^4-4*q^3+15*q^2-14*q+15# NEGATIVE COEFF 5, 5, 2: q^4+4*q^3-8*q^2+13*q-9# NEGATIVE COEFF 5, 5, 3: q^3+5*q^2-8*q+16# NEGATIVE COEFF 5, 5, 4: q^2+6*q+2 5, 5, 5: 5*q+2 5, 5, 6: -4# NEGATIVE COEFF 5, 5, 7: 3 5, 5, 8: q^2+2 5, 5, 9: q+3 5, 5, 11: 1 6, 1, 1: -6*q^6+12*q^5-17*q^4+28*q^3-31*q^2+21*q-11# NEGATIVE COEFF 6, 1, 2: -6*q^5+17*q^4-27*q^3+41*q^2-41*q+18# NEGATIVE COEFF 6, 1, 3: -6*q^4+17*q^3-31*q^2+36*q-22# NEGATIVE COEFF 6, 1, 4: -6*q^3+11*q^2-12*q+11# NEGATIVE COEFF 6, 1, 5: -5*q^3+10*q^2-14*q+11# NEGATIVE COEFF 6, 1, 6: 5*q^2-14*q+11# NEGATIVE COEFF 6, 1, 7: -4# NEGATIVE COEFF 6, 2, 1: -6*q^5+17*q^4-27*q^3+41*q^2-41*q+18# NEGATIVE COEFF 6, 2, 2: -5*q^4+20*q^3-39*q^2+49*q-33# NEGATIVE COEFF 6, 2, 3: -5*q^3+19*q^2-34*q+28# NEGATIVE COEFF 6, 2, 4: -5*q^2+12*q-9# NEGATIVE COEFF 6, 2, 5: -q^3-4*q^2+14*q-11# NEGATIVE COEFF 6, 2, 6: q^2+3*q-10# NEGATIVE COEFF 6, 3, 1: -6*q^4+17*q^3-31*q^2+36*q-22# NEGATIVE COEFF 6, 3, 2: -5*q^3+19*q^2-34*q+28# NEGATIVE COEFF 6, 3, 3: -4*q^2+14*q-18# NEGATIVE COEFF 6, 3, 4: -2*q+4# NEGATIVE COEFF 6, 3, 5: -4*q+6# NEGATIVE COEFF 6, 3, 6: q+1 6, 4, 1: -6*q^3+11*q^2-12*q+11# NEGATIVE COEFF 6, 4, 2: -5*q^2+12*q-9# NEGATIVE COEFF 6, 4, 3: -2*q+4# NEGATIVE COEFF 6, 4, 4: -2*q-2# NEGATIVE COEFF 6, 4, 5: -2# NEGATIVE COEFF 6, 4, 6: 2 6, 5, 1: -5*q^3+10*q^2-14*q+11# NEGATIVE COEFF 6, 5, 2: -q^3-4*q^2+14*q-11# NEGATIVE COEFF 6, 5, 3: -4*q+6# NEGATIVE COEFF 6, 5, 4: -2# NEGATIVE COEFF 6, 5, 5: -4# NEGATIVE COEFF 6, 6, 1: 5*q^2-14*q+11# NEGATIVE COEFF 6, 6, 2: q^2+3*q-10# NEGATIVE COEFF 6, 6, 3: q+1 6, 6, 4: 2 6, 6, 7: 1 6, 6, 8: q 6, 6, 11: 1 7, 1, 1: 6*q^4+11*q^2-3*q+9# NEGATIVE COEFF 7, 1, 2: 6*q^3-5*q^2+9*q# NEGATIVE COEFF 7, 1, 3: 6*q^2-3*q+14# NEGATIVE COEFF 7, 1, 4: 6*q+7 7, 1, 5: 6*q+3 7, 1, 6: -4# NEGATIVE COEFF 7, 1, 7: 3 7, 1, 8: 1 7, 1, 9: 1 7, 2, 1: 6*q^3-5*q^2+9*q# NEGATIVE COEFF 7, 2, 2: 5*q^2-9*q+10# NEGATIVE COEFF 7, 2, 3: 4*q 7, 2, 4: 5 7, 2, 5: 5 7, 3, 1: 6*q^2-3*q+14# NEGATIVE COEFF 7, 3, 2: 4*q 7, 3, 3: 2*q+11 7, 3, 4: 7 7, 3, 5: q+5 7, 3, 7: 4 7, 3, 8: 1 7, 3, 9: 2 7, 3, 10: 1 7, 4, 1: 6*q+7 7, 4, 2: 5 7, 4, 3: 7 7, 4, 4: 4 7, 4, 5: 4 7, 4, 7: 2 7, 4, 8: 1 7, 4, 9: 1 7, 5, 1: 6*q+3 7, 5, 2: 5 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, 1: -4# NEGATIVE COEFF 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: 6*q^4-5*q^3+12*q^2-10*q+11# NEGATIVE COEFF 8, 1, 2: 5*q^3-5*q^2+10*q-7# NEGATIVE COEFF 8, 1, 3: 6*q^2-5*q+11# NEGATIVE COEFF 8, 1, 4: 5*q+3 8, 1, 5: q^2+2 8, 1, 7: 1 8, 2, 1: 5*q^3-5*q^2+10*q-7# NEGATIVE COEFF 8, 2, 2: q^3+5*q^2-3*q+11# NEGATIVE COEFF 8, 2, 3: 5*q-1# NEGATIVE COEFF 8, 2, 4: q+7 8, 2, 8: q+2 8, 2, 9: 1 8, 3, 1: 6*q^2-5*q+11# NEGATIVE COEFF 8, 3, 2: 5*q-1# NEGATIVE COEFF 8, 3, 3: q^2+7 8, 3, 4: 4 8, 3, 5: 1 8, 3, 7: 1 8, 3, 9: 1 8, 4, 1: 5*q+3 8, 4, 2: q+7 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: 6*q^3-5*q^2+12*q+1# NEGATIVE COEFF 9, 1, 2: 5*q^2-5*q+10# NEGATIVE COEFF 9, 1, 3: 6*q+1 9, 1, 4: 7 9, 1, 5: q+2 9, 1, 7: 1 9, 2, 1: 5*q^2-5*q+10# NEGATIVE COEFF 9, 2, 2: q^2+5*q 9, 2, 3: 5 9, 2, 4: 4 9, 2, 8: 1 9, 3, 1: 6*q+1 9, 3, 2: 5 9, 3, 3: q+7 9, 3, 4: 3 9, 3, 5: 2 9, 3, 7: 2 9, 3, 8: 1 9, 3, 9: 2 9, 4, 1: 7 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: 6 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