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+5*q^6+2*q^5+7*q^4+5*q^3+5*q^2+6*q+2 1, 1, 2: 2*q^9+2*q^8+4*q^7+7*q^6+9*q^5+10*q^4+18*q^3+14*q^2+17*q+7 1, 1, 3: 2*q^8+2*q^7+6*q^6+7*q^5+14*q^4+15*q^3+21*q^2+22*q+13 1, 1, 4: 2*q^7+4*q^5+5*q^4+7*q^3+9*q^2+12*q+6 1, 1, 5: 2*q^7+2*q^6+7*q^5+7*q^4+14*q^3+14*q^2+21*q+13 1, 1, 6: 2*q^6+4*q^5+7*q^4+12*q^3+19*q^2+23*q+21 1, 1, 7: 2*q^4+5*q^2+5*q+7 1, 1, 8: 2*q^4+3*q^3+6*q^2+8*q+13 1, 1, 9: 2*q^3+3*q^2+6*q+11 1, 1, 10: 6 1, 1, 11: 1 2, 1, 1: 2*q^9+2*q^8+4*q^7+7*q^6+9*q^5+10*q^4+18*q^3+14*q^2+17*q+7 2, 1, 2: 2*q^8+4*q^7+9*q^6+14*q^5+22*q^4+31*q^3+36*q^2+46*q+27 2, 1, 3: 2*q^7+4*q^6+11*q^5+17*q^4+31*q^3+38*q^2+55*q+39 2, 1, 4: 2*q^6+2*q^5+7*q^4+10*q^3+19*q^2+22*q+20 2, 1, 5: 2*q^6+5*q^5+10*q^4+18*q^3+28*q^2+37*q+38 2, 1, 6: 2*q^5+7*q^4+13*q^3+27*q^2+43*q+50 2, 1, 7: 2*q^3+3*q^2+9*q+12 2, 1, 8: 3*q^3+5*q^2+10*q+23 2, 1, 9: 3*q^2+5*q+18 2, 1, 10: 5 2, 2, 1: 2*q^8+4*q^7+9*q^6+14*q^5+22*q^4+31*q^3+36*q^2+46*q+27 2, 2, 2: 2*q^7+7*q^6+17*q^5+29*q^4+54*q^3+70*q^2+101*q+82 2, 2, 3: 2*q^6+7*q^5+20*q^4+40*q^3+68*q^2+108*q+109 2, 2, 4: 2*q^5+5*q^4+13*q^3+26*q^2+48*q+51 2, 2, 5: 3*q^5+9*q^4+22*q^3+40*q^2+70*q+89 2, 2, 6: 3*q^4+12*q^3+33*q^2+69*q+113 2, 2, 7: 3*q^2+11*q+28 2, 2, 8: q^3+7*q^2+13*q+41 2, 2, 9: q^2+7*q+32 2, 2, 10: 8 2, 2, 11: 1 3, 1, 1: 2*q^8+2*q^7+6*q^6+7*q^5+14*q^4+15*q^3+21*q^2+22*q+13 3, 1, 2: 2*q^7+4*q^6+11*q^5+17*q^4+31*q^3+38*q^2+55*q+39 3, 1, 3: 2*q^6+4*q^5+13*q^4+22*q^3+40*q^2+57*q+56 3, 1, 4: 2*q^5+2*q^4+9*q^3+14*q^2+26*q+26 3, 1, 5: 2*q^5+5*q^4+14*q^3+22*q^2+40*q+44 3, 1, 6: 2*q^4+7*q^3+19*q^2+38*q+60 3, 1, 7: 2*q^2+5*q+16 3, 1, 8: 4*q^2+7*q+21 3, 1, 9: 4*q+17 3, 1, 10: 3 3, 2, 1: 2*q^7+4*q^6+11*q^5+17*q^4+31*q^3+38*q^2+55*q+39 3, 2, 2: 2*q^6+7*q^5+20*q^4+40*q^3+68*q^2+108*q+109 3, 2, 3: 2*q^5+7*q^4+26*q^3+52*q^2+107*q+136 3, 2, 4: 2*q^4+5*q^3+19*q^2+40*q+63 3, 2, 5: 3*q^4+11*q^3+31*q^2+64*q+105 3, 2, 6: 3*q^3+17*q^2+54*q+126 3, 2, 7: 6*q+28 3, 2, 8: 2*q^2+11*q+41 3, 2, 9: 2*q+29 3, 2, 10: 6 3, 3, 1: 2*q^6+4*q^5+13*q^4+22*q^3+40*q^2+57*q+56 3, 3, 2: 2*q^5+7*q^4+26*q^3+52*q^2+107*q+136 3, 3, 3: 2*q^4+9*q^3+35*q^2+88*q+160 3, 3, 4: 2*q^3+8*q^2+33*q+71 3, 3, 5: 4*q^3+16*q^2+54*q+116 3, 3, 6: 6*q^2+36*q+132 3, 3, 7: 2*q+27 3, 3, 8: q^2+6*q+41 3, 3, 9: q+29 3, 3, 10: 7 3, 3, 11: 1 4, 1, 1: 2*q^7+4*q^5+5*q^4+7*q^3+9*q^2+12*q+6 4, 1, 2: 2*q^6+2*q^5+7*q^4+10*q^3+19*q^2+22*q+20 4, 1, 3: 2*q^5+2*q^4+9*q^3+14*q^2+26*q+26 4, 1, 4: 2*q^4+7*q^2+9*q+14 4, 1, 5: 2*q^4+3*q^3+9*q^2+17*q+20 4, 1, 6: 2*q^3+5*q^2+14*q+27 4, 1, 7: 2*q+7 4, 1, 8: 5*q+7 4, 1, 9: 7 4, 1, 10: 1 4, 2, 1: 2*q^6+2*q^5+7*q^4+10*q^3+19*q^2+22*q+20 4, 2, 2: 2*q^5+5*q^4+13*q^3+26*q^2+48*q+51 4, 2, 3: 2*q^4+5*q^3+19*q^2+40*q+63 4, 2, 4: 2*q^3+4*q^2+15*q+29 4, 2, 5: 3*q^3+8*q^2+27*q+46 4, 2, 6: 3*q^2+18*q+55 4, 2, 7: 11 4, 2, 8: 3*q+17 4, 2, 9: 12 4, 2, 10: 2 4, 3, 1: 2*q^5+2*q^4+9*q^3+14*q^2+26*q+26 4, 3, 2: 2*q^4+5*q^3+19*q^2+40*q+63 4, 3, 3: 2*q^3+8*q^2+33*q+71 4, 3, 4: 2*q^2+8*q+30 4, 3, 5: 4*q^2+18*q+51 4, 3, 6: 10*q+54 4, 3, 7: 11 4, 3, 8: 2*q+18 4, 3, 9: 9 4, 3, 10: 3 4, 4, 1: 2*q^4+7*q^2+9*q+14 4, 4, 2: 2*q^3+4*q^2+15*q+29 4, 4, 3: 2*q^2+8*q+30 4, 4, 4: q^2+3*q+15 4, 4, 5: 7*q+20 4, 4, 6: 2*q+22 4, 4, 7: 4 4, 4, 8: q+5 4, 4, 9: 7 4, 4, 10: 2 4, 4, 11: 1 5, 1, 1: 2*q^7+2*q^6+7*q^5+7*q^4+14*q^3+14*q^2+21*q+13 5, 1, 2: 2*q^6+5*q^5+10*q^4+18*q^3+28*q^2+37*q+38 5, 1, 3: 2*q^5+5*q^4+14*q^3+22*q^2+40*q+44 5, 1, 4: 2*q^4+3*q^3+9*q^2+17*q+20 5, 1, 5: 3*q^4+4*q^3+13*q^2+20*q+35 5, 1, 6: 3*q^3+8*q^2+20*q+37 5, 1, 7: 4*q+7 5, 1, 8: q^2+2*q+10 5, 1, 9: q+6 5, 2, 1: 2*q^6+5*q^5+10*q^4+18*q^3+28*q^2+37*q+38 5, 2, 2: 3*q^5+9*q^4+22*q^3+40*q^2+70*q+89 5, 2, 3: 3*q^4+11*q^3+31*q^2+64*q+105 5, 2, 4: 3*q^3+8*q^2+27*q+46 5, 2, 5: q^4+6*q^3+16*q^2+37*q+71 5, 2, 6: q^3+8*q^2+32*q+85 5, 2, 7: 2*q+19 5, 2, 8: 2*q^2+6*q+24 5, 2, 9: 2*q+18 5, 2, 10: 4 5, 3, 1: 2*q^5+5*q^4+14*q^3+22*q^2+40*q+44 5, 3, 2: 3*q^4+11*q^3+31*q^2+64*q+105 5, 3, 3: 4*q^3+16*q^2+54*q+116 5, 3, 4: 4*q^2+18*q+51 5, 3, 5: q^3+9*q^2+30*q+84 5, 3, 6: 2*q^2+20*q+90 5, 3, 7: q+17 5, 3, 8: 4*q+27 5, 3, 9: 18 5, 3, 10: 3 5, 4, 1: 2*q^4+3*q^3+9*q^2+17*q+20 5, 4, 2: 3*q^3+8*q^2+27*q+46 5, 4, 3: 4*q^2+18*q+51 5, 4, 4: 7*q+20 5, 4, 5: q^2+10*q+38 5, 4, 6: 4*q+38 5, 4, 7: 8 5, 4, 8: 12 5, 4, 9: 7 5, 4, 10: 1 5, 5, 1: 3*q^4+4*q^3+13*q^2+20*q+35 5, 5, 2: q^4+6*q^3+16*q^2+37*q+71 5, 5, 3: q^3+9*q^2+30*q+84 5, 5, 4: q^2+10*q+38 5, 5, 5: 2*q^3+6*q^2+25*q+56 5, 5, 6: 2*q^2+14*q+70 5, 5, 7: 17 5, 5, 8: q^2+6*q+24 5, 5, 9: q+19 5, 5, 10: 6 5, 5, 11: 1 6, 1, 1: 2*q^6+4*q^5+7*q^4+12*q^3+19*q^2+23*q+21 6, 1, 2: 2*q^5+7*q^4+13*q^3+27*q^2+43*q+50 6, 1, 3: 2*q^4+7*q^3+19*q^2+38*q+60 6, 1, 4: 2*q^3+5*q^2+14*q+27 6, 1, 5: 3*q^3+8*q^2+20*q+37 6, 1, 6: 3*q^2+16*q+45 6, 1, 7: 10 6, 1, 8: 2*q+8 6, 1, 9: 6 6, 2, 1: 2*q^5+7*q^4+13*q^3+27*q^2+43*q+50 6, 2, 2: 3*q^4+12*q^3+33*q^2+69*q+113 6, 2, 3: 3*q^3+17*q^2+54*q+126 6, 2, 4: 3*q^2+18*q+55 6, 2, 5: q^3+8*q^2+32*q+85 6, 2, 6: q^2+17*q+92 6, 2, 7: 18 6, 2, 8: 4*q+24 6, 2, 9: 16 6, 2, 10: 2 6, 3, 1: 2*q^4+7*q^3+19*q^2+38*q+60 6, 3, 2: 3*q^3+17*q^2+54*q+126 6, 3, 3: 6*q^2+36*q+132 6, 3, 4: 10*q+54 6, 3, 5: 2*q^2+20*q+90 6, 3, 6: 9*q+93 6, 3, 7: 18 6, 3, 8: 2*q+28 6, 3, 9: 18 6, 3, 10: 4 6, 4, 1: 2*q^3+5*q^2+14*q+27 6, 4, 2: 3*q^2+18*q+55 6, 4, 3: 10*q+54 6, 4, 4: 2*q+22 6, 4, 5: 4*q+38 6, 4, 6: 2*q+38 6, 4, 7: 6 6, 4, 8: 12 6, 4, 9: 8 6, 4, 10: 2 6, 5, 1: 3*q^3+8*q^2+20*q+37 6, 5, 2: q^3+8*q^2+32*q+85 6, 5, 3: 2*q^2+20*q+90 6, 5, 4: 4*q+38 6, 5, 5: 2*q^2+14*q+70 6, 5, 6: 6*q+72 6, 5, 7: 12 6, 5, 8: 2*q+26 6, 5, 9: 16 6, 5, 10: 4 6, 6, 1: 3*q^2+16*q+45 6, 6, 2: q^2+17*q+92 6, 6, 3: 9*q+93 6, 6, 4: 2*q+38 6, 6, 5: 6*q+72 6, 6, 6: 2*q+72 6, 6, 7: 15 6, 6, 8: q+28 6, 6, 9: 18 6, 6, 10: 6 6, 6, 11: 1 7, 1, 1: 2*q^4+5*q^2+5*q+7 7, 1, 2: 2*q^3+3*q^2+9*q+12 7, 1, 3: 2*q^2+5*q+16 7, 1, 4: 2*q+7 7, 1, 5: 4*q+7 7, 1, 6: 10 7, 1, 7: 3 7, 1, 8: 1 7, 1, 9: 1 7, 2, 1: 2*q^3+3*q^2+9*q+12 7, 2, 2: 3*q^2+11*q+28 7, 2, 3: 6*q+28 7, 2, 4: 11 7, 2, 5: 2*q+19 7, 2, 6: 18 7, 2, 7: 2 7, 2, 8: 4 7, 2, 9: 2 7, 3, 1: 2*q^2+5*q+16 7, 3, 2: 6*q+28 7, 3, 3: 2*q+27 7, 3, 4: 11 7, 3, 5: q+17 7, 3, 6: 18 7, 3, 7: 4 7, 3, 8: 5 7, 3, 9: 4 7, 3, 10: 1 7, 4, 1: 2*q+7 7, 4, 2: 11 7, 4, 3: 11 7, 4, 4: 4 7, 4, 5: 8 7, 4, 6: 6 7, 4, 7: 2 7, 4, 8: 3 7, 4, 9: 1 7, 5, 1: 4*q+7 7, 5, 2: 2*q+19 7, 5, 3: q+17 7, 5, 4: 8 7, 5, 5: 17 7, 5, 6: 12 7, 5, 7: 2 7, 5, 8: 5 7, 5, 9: 2 7, 6, 1: 10 7, 6, 2: 18 7, 6, 3: 18 7, 6, 4: 6 7, 6, 5: 12 7, 6, 6: 15 7, 6, 7: 2 7, 6, 8: 6 7, 6, 9: 4 7, 6, 10: 2 7, 7, 1: 3 7, 7, 2: 2 7, 7, 3: 4 7, 7, 4: 2 7, 7, 5: 2 7, 7, 6: 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+3*q^3+6*q^2+8*q+13 8, 1, 2: 3*q^3+5*q^2+10*q+23 8, 1, 3: 4*q^2+7*q+21 8, 1, 4: 5*q+7 8, 1, 5: q^2+2*q+10 8, 1, 6: 2*q+8 8, 1, 7: 1 8, 2, 1: 3*q^3+5*q^2+10*q+23 8, 2, 2: q^3+7*q^2+13*q+41 8, 2, 3: 2*q^2+11*q+41 8, 2, 4: 3*q+17 8, 2, 5: 2*q^2+6*q+24 8, 2, 6: 4*q+24 8, 2, 7: 4 8, 2, 8: q+6 8, 2, 9: 3 8, 3, 1: 4*q^2+7*q+21 8, 3, 2: 2*q^2+11*q+41 8, 3, 3: q^2+6*q+41 8, 3, 4: 2*q+18 8, 3, 5: 4*q+27 8, 3, 6: 2*q+28 8, 3, 7: 5 8, 3, 8: 6 8, 3, 9: 5 8, 4, 1: 5*q+7 8, 4, 2: 3*q+17 8, 4, 3: 2*q+18 8, 4, 4: q+5 8, 4, 5: 12 8, 4, 6: 12 8, 4, 7: 3 8, 4, 8: 3 8, 4, 9: 1 8, 5, 1: q^2+2*q+10 8, 5, 2: 2*q^2+6*q+24 8, 5, 3: 4*q+27 8, 5, 4: 12 8, 5, 5: q^2+6*q+24 8, 5, 6: 2*q+26 8, 5, 7: 5 8, 5, 8: 2*q+12 8, 5, 9: 8 8, 5, 10: 3 8, 6, 1: 2*q+8 8, 6, 2: 4*q+24 8, 6, 3: 2*q+28 8, 6, 4: 12 8, 6, 5: 2*q+26 8, 6, 6: q+28 8, 6, 7: 6 8, 6, 8: 12 8, 6, 9: 8 8, 6, 10: 2 8, 7, 1: 1 8, 7, 2: 4 8, 7, 3: 5 8, 7, 4: 3 8, 7, 5: 5 8, 7, 6: 6 8, 7, 7: 1 8, 7, 8: 2 8, 7, 9: 2 8, 8, 2: q+6 8, 8, 3: 6 8, 8, 4: 3 8, 8, 5: 2*q+12 8, 8, 6: 12 8, 8, 7: 2 8, 8, 8: q+10 8, 8, 9: 7 8, 8, 10: 4 8, 8, 11: 1 9, 1, 1: 2*q^3+3*q^2+6*q+11 9, 1, 2: 3*q^2+5*q+18 9, 1, 3: 4*q+17 9, 1, 4: 7 9, 1, 5: q+6 9, 1, 6: 6 9, 1, 7: 1 9, 2, 1: 3*q^2+5*q+18 9, 2, 2: q^2+7*q+32 9, 2, 3: 2*q+29 9, 2, 4: 12 9, 2, 5: 2*q+18 9, 2, 6: 16 9, 2, 7: 2 9, 2, 8: 3 9, 2, 9: 2 9, 3, 1: 4*q+17 9, 3, 2: 2*q+29 9, 3, 3: q+29 9, 3, 4: 9 9, 3, 5: 18 9, 3, 6: 18 9, 3, 7: 4 9, 3, 8: 5 9, 3, 9: 2 9, 4, 1: 7 9, 4, 2: 12 9, 4, 3: 9 9, 4, 4: 7 9, 4, 5: 7 9, 4, 6: 8 9, 4, 7: 1 9, 4, 8: 1 9, 4, 9: 3 9, 5, 1: q+6 9, 5, 2: 2*q+18 9, 5, 3: 18 9, 5, 4: 7 9, 5, 5: q+19 9, 5, 6: 16 9, 5, 7: 2 9, 5, 8: 8 9, 5, 9: 4 9, 5, 10: 1 9, 6, 1: 6 9, 6, 2: 16 9, 6, 3: 18 9, 6, 4: 8 9, 6, 5: 16 9, 6, 6: 18 9, 6, 7: 4 9, 6, 8: 8 9, 6, 9: 6 9, 6, 10: 2 9, 7, 1: 1 9, 7, 2: 2 9, 7, 3: 4 9, 7, 4: 1 9, 7, 5: 2 9, 7, 6: 4 9, 7, 7: 2 9, 7, 8: 2 9, 7, 9: 1 9, 7, 10: 1 9, 8, 2: 3 9, 8, 3: 5 9, 8, 4: 1 9, 8, 5: 8 9, 8, 6: 8 9, 8, 7: 2 9, 8, 8: 7 9, 8, 9: 3 9, 8, 10: 2 9, 9, 2: 2 9, 9, 3: 2 9, 9, 4: 3 9, 9, 5: 4 9, 9, 6: 6 9, 9, 7: 1 9, 9, 8: 3 9, 9, 9: 4 9, 9, 10: 2 9, 9, 11: 1 10, 1, 1: 6 10, 1, 2: 5 10, 1, 3: 3 10, 1, 4: 1 10, 2, 1: 5 10, 2, 2: 8 10, 2, 3: 6 10, 2, 4: 2 10, 2, 5: 4 10, 2, 6: 2 10, 3, 1: 3 10, 3, 2: 6 10, 3, 3: 7 10, 3, 4: 3 10, 3, 5: 3 10, 3, 6: 4 10, 3, 7: 1 10, 4, 1: 1 10, 4, 2: 2 10, 4, 3: 3 10, 4, 4: 2 10, 4, 5: 1 10, 4, 6: 2 10, 5, 2: 4 10, 5, 3: 3 10, 5, 4: 1 10, 5, 5: 6 10, 5, 6: 4 10, 5, 8: 3 10, 5, 9: 1 10, 6, 2: 2 10, 6, 3: 4 10, 6, 4: 2 10, 6, 5: 4 10, 6, 6: 6 10, 6, 7: 2 10, 6, 8: 2 10, 6, 9: 2 10, 7, 3: 1 10, 7, 6: 2 10, 7, 7: 1 10, 7, 9: 1 10, 8, 5: 3 10, 8, 6: 2 10, 8, 8: 4 10, 8, 9: 2 10, 8, 10: 2 10, 9, 5: 1 10, 9, 6: 2 10, 9, 7: 1 10, 9, 8: 2 10, 9, 9: 2 10, 9, 10: 1 10, 10, 8: 2 10, 10, 9: 1 10, 10, 10: 2 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