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+13*q^6+6*q^5+19*q^4+9*q^3+13*q^2+10*q+2 1, 1, 2: 6*q^9+6*q^8+12*q^7+19*q^6+25*q^5+26*q^4+42*q^3+32*q^2+31*q+11 1, 1, 3: 6*q^8+6*q^7+18*q^6+19*q^5+38*q^4+35*q^3+49*q^2+40*q+21 1, 1, 4: 6*q^7+12*q^5+13*q^4+19*q^3+19*q^2+24*q+8 1, 1, 5: 6*q^7+6*q^6+19*q^5+19*q^4+34*q^3+30*q^2+43*q+19 1, 1, 6: 6*q^6+12*q^5+19*q^4+32*q^3+43*q^2+45*q+35 1, 1, 7: 6*q^4+13*q^2+9*q+11 1, 1, 8: 6*q^4+7*q^3+14*q^2+16*q+21 1, 1, 9: 6*q^3+7*q^2+14*q+17 1, 1, 10: 10 1, 1, 11: 1 2, 1, 1: 6*q^9+6*q^8+12*q^7+19*q^6+25*q^5+26*q^4+42*q^3+32*q^2+31*q+11 2, 1, 2: 6*q^8+12*q^7+25*q^6+38*q^5+58*q^4+71*q^3+80*q^2+86*q+41 2, 1, 3: 6*q^7+12*q^6+31*q^5+45*q^4+75*q^3+84*q^2+103*q+59 2, 1, 4: 6*q^6+6*q^5+19*q^4+26*q^3+43*q^2+40*q+32 2, 1, 5: 6*q^6+13*q^5+26*q^4+42*q^3+60*q^2+67*q+60 2, 1, 6: 6*q^5+19*q^4+33*q^3+59*q^2+81*q+74 2, 1, 7: 6*q^3+7*q^2+17*q+18 2, 1, 8: 7*q^3+9*q^2+18*q+33 2, 1, 9: 7*q^2+9*q+26 2, 1, 10: 5 2, 2, 1: 6*q^8+12*q^7+25*q^6+38*q^5+58*q^4+71*q^3+80*q^2+86*q+41 2, 2, 2: 6*q^7+19*q^6+45*q^5+73*q^4+122*q^3+148*q^2+179*q+124 2, 2, 3: 6*q^6+19*q^5+52*q^4+92*q^3+144*q^2+190*q+159 2, 2, 4: 6*q^5+13*q^4+33*q^3+56*q^2+88*q+71 2, 2, 5: 7*q^5+21*q^4+46*q^3+76*q^2+116*q+123 2, 2, 6: 7*q^4+28*q^3+65*q^2+115*q+155 2, 2, 7: 7*q^2+19*q+36 2, 2, 8: q^3+11*q^2+17*q+49 2, 2, 9: q^2+11*q+38 2, 2, 10: 8 2, 2, 11: 1 3, 1, 1: 6*q^8+6*q^7+18*q^6+19*q^5+38*q^4+35*q^3+49*q^2+40*q+21 3, 1, 2: 6*q^7+12*q^6+31*q^5+45*q^4+75*q^3+84*q^2+103*q+59 3, 1, 3: 6*q^6+12*q^5+37*q^4+54*q^3+92*q^2+105*q+86 3, 1, 4: 6*q^5+6*q^4+25*q^3+32*q^2+52*q+38 3, 1, 5: 6*q^5+13*q^4+34*q^3+46*q^2+74*q+64 3, 1, 6: 6*q^4+19*q^3+43*q^2+72*q+88 3, 1, 7: 6*q^2+9*q+24 3, 1, 8: 8*q^2+11*q+29 3, 1, 9: 8*q+23 3, 1, 10: 3 3, 2, 1: 6*q^7+12*q^6+31*q^5+45*q^4+75*q^3+84*q^2+103*q+59 3, 2, 2: 6*q^6+19*q^5+52*q^4+92*q^3+144*q^2+190*q+159 3, 2, 3: 6*q^5+19*q^4+62*q^3+110*q^2+189*q+190 3, 2, 4: 6*q^4+13*q^3+43*q^2+72*q+89 3, 2, 5: 7*q^4+23*q^3+59*q^2+102*q+141 3, 2, 6: 7*q^3+33*q^2+88*q+164 3, 2, 7: 10*q+34 3, 2, 8: 2*q^2+15*q+47 3, 2, 9: 2*q+33 3, 2, 10: 6 3, 3, 1: 6*q^6+12*q^5+37*q^4+54*q^3+92*q^2+105*q+86 3, 3, 2: 6*q^5+19*q^4+62*q^3+110*q^2+189*q+190 3, 3, 3: 6*q^4+21*q^3+75*q^2+150*q+218 3, 3, 4: 6*q^3+18*q^2+61*q+95 3, 3, 5: 8*q^3+28*q^2+84*q+146 3, 3, 6: 10*q^2+54*q+162 3, 3, 7: 2*q+31 3, 3, 8: q^2+6*q+45 3, 3, 9: q+31 3, 3, 10: 7 3, 3, 11: 1 4, 1, 1: 6*q^7+12*q^5+13*q^4+19*q^3+19*q^2+24*q+8 4, 1, 2: 6*q^6+6*q^5+19*q^4+26*q^3+43*q^2+40*q+32 4, 1, 3: 6*q^5+6*q^4+25*q^3+32*q^2+52*q+38 4, 1, 4: 6*q^4+19*q^2+17*q+22 4, 1, 5: 6*q^4+7*q^3+21*q^2+31*q+28 4, 1, 6: 6*q^3+13*q^2+28*q+41 4, 1, 7: 6*q+9 4, 1, 8: 9*q+9 4, 1, 9: 11 4, 1, 10: 1 4, 2, 1: 6*q^6+6*q^5+19*q^4+26*q^3+43*q^2+40*q+32 4, 2, 2: 6*q^5+13*q^4+33*q^3+56*q^2+88*q+71 4, 2, 3: 6*q^4+13*q^3+43*q^2+72*q+89 4, 2, 4: 6*q^3+10*q^2+29*q+41 4, 2, 5: 7*q^3+16*q^2+45*q+62 4, 2, 6: 7*q^2+32*q+71 4, 2, 7: 15 4, 2, 8: 3*q+21 4, 2, 9: 14 4, 2, 10: 2 4, 3, 1: 6*q^5+6*q^4+25*q^3+32*q^2+52*q+38 4, 3, 2: 6*q^4+13*q^3+43*q^2+72*q+89 4, 3, 3: 6*q^3+18*q^2+61*q+95 4, 3, 4: 6*q^2+14*q+42 4, 3, 5: 8*q^2+28*q+65 4, 3, 6: 16*q+66 4, 3, 7: 13 4, 3, 8: 2*q+20 4, 3, 9: 9 4, 3, 10: 3 4, 4, 1: 6*q^4+19*q^2+17*q+22 4, 4, 2: 6*q^3+10*q^2+29*q+41 4, 4, 3: 6*q^2+14*q+42 4, 4, 4: 3*q^2+7*q+21 4, 4, 5: 13*q+22 4, 4, 6: 4*q+28 4, 4, 7: 4 4, 4, 8: q+5 4, 4, 9: 9 4, 4, 10: 2 4, 4, 11: 1 5, 1, 1: 6*q^7+6*q^6+19*q^5+19*q^4+34*q^3+30*q^2+43*q+19 5, 1, 2: 6*q^6+13*q^5+26*q^4+42*q^3+60*q^2+67*q+60 5, 1, 3: 6*q^5+13*q^4+34*q^3+46*q^2+74*q+64 5, 1, 4: 6*q^4+7*q^3+21*q^2+31*q+28 5, 1, 5: 7*q^4+8*q^3+25*q^2+32*q+49 5, 1, 6: 7*q^3+16*q^2+32*q+51 5, 1, 7: 8*q+7 5, 1, 8: q^2+2*q+10 5, 1, 9: q+6 5, 2, 1: 6*q^6+13*q^5+26*q^4+42*q^3+60*q^2+67*q+60 5, 2, 2: 7*q^5+21*q^4+46*q^3+76*q^2+116*q+123 5, 2, 3: 7*q^4+23*q^3+59*q^2+102*q+141 5, 2, 4: 7*q^3+16*q^2+45*q+62 5, 2, 5: q^4+10*q^3+24*q^2+49*q+85 5, 2, 6: q^3+12*q^2+44*q+99 5, 2, 7: 2*q+23 5, 2, 8: 2*q^2+6*q+24 5, 2, 9: 2*q+18 5, 2, 10: 4 5, 3, 1: 6*q^5+13*q^4+34*q^3+46*q^2+74*q+64 5, 3, 2: 7*q^4+23*q^3+59*q^2+102*q+141 5, 3, 3: 8*q^3+28*q^2+84*q+146 5, 3, 4: 8*q^2+28*q+65 5, 3, 5: q^3+13*q^2+38*q+98 5, 3, 6: 2*q^2+24*q+100 5, 3, 7: q+17 5, 3, 8: 4*q+27 5, 3, 9: 18 5, 3, 10: 3 5, 4, 1: 6*q^4+7*q^3+21*q^2+31*q+28 5, 4, 2: 7*q^3+16*q^2+45*q+62 5, 4, 3: 8*q^2+28*q+65 5, 4, 4: 13*q+22 5, 4, 5: q^2+14*q+44 5, 4, 6: 4*q+44 5, 4, 7: 8 5, 4, 8: 12 5, 4, 9: 7 5, 4, 10: 1 5, 5, 1: 7*q^4+8*q^3+25*q^2+32*q+49 5, 5, 2: q^4+10*q^3+24*q^2+49*q+85 5, 5, 3: q^3+13*q^2+38*q+98 5, 5, 4: q^2+14*q+44 5, 5, 5: 2*q^3+6*q^2+29*q+56 5, 5, 6: 2*q^2+14*q+74 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: 6*q^6+12*q^5+19*q^4+32*q^3+43*q^2+45*q+35 6, 1, 2: 6*q^5+19*q^4+33*q^3+59*q^2+81*q+74 6, 1, 3: 6*q^4+19*q^3+43*q^2+72*q+88 6, 1, 4: 6*q^3+13*q^2+28*q+41 6, 1, 5: 7*q^3+16*q^2+32*q+51 6, 1, 6: 7*q^2+28*q+59 6, 1, 7: 14 6, 1, 8: 2*q+8 6, 1, 9: 6 6, 2, 1: 6*q^5+19*q^4+33*q^3+59*q^2+81*q+74 6, 2, 2: 7*q^4+28*q^3+65*q^2+115*q+155 6, 2, 3: 7*q^3+33*q^2+88*q+164 6, 2, 4: 7*q^2+32*q+71 6, 2, 5: q^3+12*q^2+44*q+99 6, 2, 6: q^2+21*q+106 6, 2, 7: 18 6, 2, 8: 4*q+24 6, 2, 9: 16 6, 2, 10: 2 6, 3, 1: 6*q^4+19*q^3+43*q^2+72*q+88 6, 3, 2: 7*q^3+33*q^2+88*q+164 6, 3, 3: 10*q^2+54*q+162 6, 3, 4: 16*q+66 6, 3, 5: 2*q^2+24*q+100 6, 3, 6: 9*q+99 6, 3, 7: 18 6, 3, 8: 2*q+28 6, 3, 9: 18 6, 3, 10: 4 6, 4, 1: 6*q^3+13*q^2+28*q+41 6, 4, 2: 7*q^2+32*q+71 6, 4, 3: 16*q+66 6, 4, 4: 4*q+28 6, 4, 5: 4*q+44 6, 4, 6: 2*q+40 6, 4, 7: 6 6, 4, 8: 12 6, 4, 9: 8 6, 4, 10: 2 6, 5, 1: 7*q^3+16*q^2+32*q+51 6, 5, 2: q^3+12*q^2+44*q+99 6, 5, 3: 2*q^2+24*q+100 6, 5, 4: 4*q+44 6, 5, 5: 2*q^2+14*q+74 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: 7*q^2+28*q+59 6, 6, 2: q^2+21*q+106 6, 6, 3: 9*q+99 6, 6, 4: 2*q+40 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: 6*q^4+13*q^2+9*q+11 7, 1, 2: 6*q^3+7*q^2+17*q+18 7, 1, 3: 6*q^2+9*q+24 7, 1, 4: 6*q+9 7, 1, 5: 8*q+7 7, 1, 6: 14 7, 1, 7: 3 7, 1, 8: 1 7, 1, 9: 1 7, 2, 1: 6*q^3+7*q^2+17*q+18 7, 2, 2: 7*q^2+19*q+36 7, 2, 3: 10*q+34 7, 2, 4: 15 7, 2, 5: 2*q+23 7, 2, 6: 18 7, 2, 7: 2 7, 2, 8: 4 7, 2, 9: 2 7, 3, 1: 6*q^2+9*q+24 7, 3, 2: 10*q+34 7, 3, 3: 2*q+31 7, 3, 4: 13 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: 6*q+9 7, 4, 2: 15 7, 4, 3: 13 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: 8*q+7 7, 5, 2: 2*q+23 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: 14 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: 6*q^4+7*q^3+14*q^2+16*q+21 8, 1, 2: 7*q^3+9*q^2+18*q+33 8, 1, 3: 8*q^2+11*q+29 8, 1, 4: 9*q+9 8, 1, 5: q^2+2*q+10 8, 1, 6: 2*q+8 8, 1, 7: 1 8, 2, 1: 7*q^3+9*q^2+18*q+33 8, 2, 2: q^3+11*q^2+17*q+49 8, 2, 3: 2*q^2+15*q+47 8, 2, 4: 3*q+21 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: 8*q^2+11*q+29 8, 3, 2: 2*q^2+15*q+47 8, 3, 3: q^2+6*q+45 8, 3, 4: 2*q+20 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: 9*q+9 8, 4, 2: 3*q+21 8, 4, 3: 2*q+20 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: 6*q^3+7*q^2+14*q+17 9, 1, 2: 7*q^2+9*q+26 9, 1, 3: 8*q+23 9, 1, 4: 11 9, 1, 5: q+6 9, 1, 6: 6 9, 1, 7: 1 9, 2, 1: 7*q^2+9*q+26 9, 2, 2: q^2+11*q+38 9, 2, 3: 2*q+33 9, 2, 4: 14 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: 8*q+23 9, 3, 2: 2*q+33 9, 3, 3: q+31 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: 11 9, 4, 2: 14 9, 4, 3: 9 9, 4, 4: 9 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: 10 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