Q(rt3) Disc=12 -------------------- n=2 Gram matrix A= [2,rt3] [rt3,2] h=1 Automorphism group size: [24] Trivial case. -------------------- n=4 Gram matrix A oplus A h=2 Automorphism group sizes: [1152,1152] Neighbour Matrices: N(P)=2 [0,9] [9,0] CharPoly = (x-9)*(x+9) N(P)=3 [0,16] [16,0] CharPoly = (x-16)*(x+16) N(P)=25 [676,0] [0,676] CharPoly = (x-676)^2 N(P)=49 [2500,0] [0,2500] CharPoly = (x-2500)^2 N(P)=11 [0,144] [144,0] CharPoly = (x-144)*(x+144) N(P)=13 [144,0] [0,144] CharPoly = (x-144)^2 -------------------- n=6 Gram Matrix A oplus A oplus A h=6 Automorphism group sizes: [82944,27648,46080,46080,103680,103680] Neighbour Matrices: N(P)=2 [0,27,0,0,0,0] [9,0,9,9,0,0] [0,15,0,0,12,0] [0,15,0,0,0,12] [0,0,27,0,0,0] [0,0,0,27,0,0] CharPoly = (x-27)*(x-18)*(x-6rt3)*(x+6rt3)*(x+18)*(x+27) N(P)=3 [0,48,0,0,32,32] [16,0,48,48,0,0] [0,80,0,0,32,0] [0,80,0,0,0,32] [40,0,72,0,0,0] [40,0,0,72,0,0] CharPoly = (x-112)*(x-48)*(x-16rt3)*(x+16rt3)*(x+48)*(x+112) N(P)=25 [93030,0,157248,157248,0,0] [0,267750,0,0,69888,69888] [87360,0,168006,152160,0,0] [87360,0,152160,168006,0,0] [0,262080,0,0,80646,64800] [0,262080,0,0,64800,80646] CharPoly = (x-5670)^2*(x-15846)^2*(x-407526)^2 N(P)=11 [0,10800,0,0,2592,2592] [3600,0,6192,6192,0,0] [0,10320,0,0,3360,2304] [0,10320,0,0,2304,3360] [3240,0,7560,5184,0,0] [3240,0,5184,7560,0,0] CharPoly = (x-15984)*(x-1584)*(x-240rt3)*(x+240rt3)*(x+1584)*(x+15984) -------------------- n=8 Gram Matrix A oplus A oplus A oplus A h=31 Automorphism group sizes: [7962624,1327104,98304,1105920,1105920,32768,2654208,442368,4096,276480,442368, 2488320,10321920,147456,18432,2488320,10321920,18432,3072,18432,10368,69120, 696729600,69120,110592,5184,31104,696729600,31104,17280,28800] Neighbour Matrices: N(P)=2 [0,54,81,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [9,0,0,18,18,81,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [1,0,0,0,0,51,3,8,48,16,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,15,0,0,0,0,0,0,0,0,0,12,3,45,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,15,0,0,0,0,0,0,0,0,0,0,0,45,0,12,3,60,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,2,17,0,0,0,0,0,0,0,0,0,0,4,32,0,0,32,32,16,0,0,0,0,0,0,0,0,0,0,0] [0,18,81,0,0,0,0,0,0,0,0,0,9,18,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,3,96,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,0,2,0,0,0,0,0,0,0,0,0,0,1,8,0,0,8,68,16,32,0,0,0,0,0,0,0,0,0,0] [0,0,45,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,90,0,0,0,0,0,0,0,0,0,0,0] [0,0,36,0,0,0,0,0,0,0,0,0,3,0,96,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,0,0,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,108,0,0,0,0,0,0,0,0,0] [0,0,0,28,0,0,35,0,0,0,70,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0] [0,0,0,6,6,18,1,0,36,0,0,0,0,0,0,0,0,0,0,0,0,32,0,32,4,0,0,0,0,0,0] [0,0,0,1,0,18,0,0,36,0,4,0,0,0,0,0,0,0,0,0,0,12,0,0,0,32,32,0,0,0,0] [0,0,0,0,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,108,0,0,0,0,0,0,0] [0,0,0,0,28,0,35,70,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0] [0,0,0,0,1,18,0,4,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,32,0,0,32,0,0] [0,0,0,0,0,3,0,0,51,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,48,8,0,8,16,0] [0,0,0,0,0,9,0,0,72,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,0] [0,0,0,0,0,0,0,0,81,0,0,0,0,0,0,0,0,0,0,0,0,9,0,9,0,36,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,3,0,15,45,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,12] [0,0,0,0,0,0,0,0,0,0,0,0,135,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,3,0,45,0,0,60,0,0,0,0,0,0,0,0,0,12] [0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,96] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,9,81,0,18,0,0,0,0,0,0,0,0,0,18] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,54,0,0,0,81,0,0,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,135,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,54,81,0,0,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,90,45,0,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,5,25,100,0,0,0,0,0] CharPoly = x^5*(x - 135)*(x - 66)*(x - 54)*(x - 36)*(x - 24)* (x + 24)*(x + 36)*(x + 54)*(x + 66)*(x + 135)* (x^2 - 24*x - 288)*(x^2 - 2700)*(x^2 - 432)*(x^2 + 24*x - 288)* (x^4 - 144*x^3 + 6588*x^2 - 101088*x + 279936)* (x^4 + 144*x^3 + 6588*x^2 + 101088*x + 279936) N(P)=3 [0,96,0,0,0,0,0,0,0,0,0,128,0,0,0,128,0,0,0,0,768,0,0,0,0,0,0,0,0,0,0] [16,0,0,96,96,0,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,192,0,192,0,512,0,0,0,0,0] [0,0,0,0,0,96,0,0,768,0,0,0,0,0,0,0,0,0,0,0,0,128,0,128,0,0,0,0,0,0,0] [0,80,0,0,0,0,0,0,0,0,0,32,24,120,480,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,384] [0,80,0,0,0,0,0,0,0,0,0,0,0,120,0,32,24,480,0,0,0,0,0,0,0,0,0,0,0,0,384] [0,0,32,0,0,0,0,0,0,0,0,0,0,64,128,0,0,128,512,0,256,0,0,0,0,0,0,0,0,0,0] [0,32,0,0,0,0,0,0,0,0,0,0,0,576,0,0,0,0,0,0,512,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,0,576,0,0,512,0,0,0,0,0,0,0,0,0,0] [0,0,32,0,0,0,0,0,0,0,0,0,0,0,80,0,0,80,608,128,128,0,0,0,0,0,0,0,0,0,64] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,480,640,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,32,0,0,576,0,0,0,0,0,512,0,0,0,0,0,0,0,0,0,0] [40,0,0,72,0,0,0,0,0,0,180,0,0,0,0,0,0,0,0,0,0,144,4,0,360,0,320,0,0,0,0] [0,0,0,224,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,896,0,0,0,0,0,0,0,0,0] [0,0,0,16,16,288,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,64,0,64,128,512,0,0,0,0,0] [0,0,0,8,0,72,0,0,360,0,24,0,0,0,0,0,0,0,0,0,0,80,0,0,0,384,192,0,0,0,0] [40,0,0,0,72,0,0,180,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,144,360,0,0,4,320,0,0] [0,0,0,0,224,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,896,0,0,0,0,0,0,0] [0,0,0,0,8,72,0,24,360,0,0,0,0,0,0,0,0,0,0,0,0,0,0,80,0,384,0,0,192,0,0] [0,0,0,0,0,48,0,0,456,0,0,0,0,0,0,0,0,0,0,0,0,16,0,16,8,320,64,0,64,128,0] [0,0,0,0,0,0,0,0,576,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,256,0,0,0,256,0] [1,0,0,0,0,81,2,12,324,24,12,0,0,0,0,0,0,0,0,0,0,12,0,12,48,400,48,0,48,96,0] [0,10,90,0,0,0,0,0,0,0,0,4,6,30,300,0,0,0,360,0,80,0,0,0,0,0,0,0,0,0,240] [0,0,0,0,0,0,0,0,0,0,0,1120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,10,90,0,0,0,0,0,0,0,0,0,0,30,0,4,6,300,360,0,80,0,0,0,0,0,0,0,0,0,240] [0,0,0,0,0,0,0,0,0,0,0,16,0,96,0,16,0,0,288,0,512,0,0,0,0,0,0,0,0,0,192] [0,2,0,0,0,0,0,0,0,0,0,0,0,18,108,0,0,108,540,72,200,0,0,0,0,0,0,0,0,0,72] [0,0,0,0,0,0,0,0,0,0,0,4,0,0,324,0,0,0,648,0,144,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,324,648,0,144,0,0,0,0,0,0,0,0,0,0] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,720,240,160,0,0,0,0,0,0,0,0,0,0] [0,0,0,10,10,0,0,0,450,0,0,0,0,0,0,0,0,0,0,0,0,100,0,100,50,400,0,0,0,0,0] CharPoly = x^5*(x - 1120)*(x - 384)*(x - 336)*(x - 144)*(x - 96)* (x + 96)*(x + 144)*(x + 336)*(x + 384)*(x + 1120)* (x^2 - 96*x - 4608)*(x^2 - 76800)*(x^2 - 6912)*(x^2 + 96*x - 4608)* (x^4 - 576*x^3 + 109056*x^2 - 7520256*x + 127401984)* (x^4 + 576*x^3 + 109056*x^2 + 7520256*x + 127401984) N(P)=11 [0,42336,82944,0,0,0,0,0,0,0,0,10368,0,0,248832,10368,0,248832,746496,0,311040,0,0,0,0,0,0,0,0,0,248832] [7056,0,0,19296,19296,165888,7056,13824,539136,0,13824,0,0,0,0,0,0,0,0,0,0,84672,0,84672,69120,705024,110592,0,110592,0,0] [1024,0,0,3072,3072,122208,3072,11264,691968,16384,11264,0,0,0,0,0,0,0,0,0,0,44160,0,44160,39936,614400,98304,0,98304,147456,0] [0,16080,34560,0,0,0,0,0,0,0,0,14880,4440,75960,399840,2304,0,103680,760320,0,345600,0,0,0,0,0,0,0,0,0,192384] [0,16080,34560,0,0,0,0,0,0,0,0,2304,0,75960,103680,14880,4440,399840,760320,0,345600,0,0,0,0,0,0,0,0,0,192384] [0,4096,40736,0,0,0,0,0,0,0,0,1024,512,28224,182400,1024,512,182400,962048,139264,283904,0,0,0,0,0,0,0,0,0,123904] [0,14112,82944,0,0,0,0,0,0,0,0,0,4608,88128,239616,0,4608,239616,829440,0,207360,0,0,0,0,0,0,0,0,0,239616] [0,4608,50688,0,0,0,0,0,0,0,0,0,0,23040,55296,7200,3072,373056,884736,110592,281088,0,0,0,0,0,0,0,0,0,156672] [0,1664,28832,0,0,0,0,0,0,0,0,1024,128,18432,158928,1024,128,158928,1006688,177280,300928,0,0,0,0,0,0,0,0,0,96064] [0,0,46080,0,0,0,0,0,0,0,0,0,0,0,138240,0,0,138240,1036800,234720,259200,0,0,0,0,0,0,0,0,0,96768] [0,4608,50688,0,0,0,0,0,0,0,0,7200,3072,23040,373056,0,0,55296,884736,110592,281088,0,0,0,0,0,0,0,0,0,156672] [3240,0,0,33480,5184,77760,0,0,622080,0,40500,0,0,0,0,0,0,0,0,0,0,205200,324,51840,55080,622080,233280,0,0,0,0] [0,0,0,41440,0,161280,17920,0,322560,0,71680,0,0,0,0,0,0,0,0,0,0,201600,1024,21504,107520,716800,286720,0,0,0,0] [0,0,0,10128,10128,127008,4896,7680,663552,0,7680,0,0,0,0,0,0,0,0,0,0,91712,0,91712,42112,623104,98304,0,98304,73728,0] [576,0,0,6664,1728,102600,1664,2304,715176,9216,15544,0,0,0,0,0,0,0,0,0,0,74064,32,31872,32640,600960,152256,0,55296,147456,0] [3240,0,0,5184,33480,77760,0,40500,622080,0,0,0,0,0,0,0,0,0,0,0,0,51840,0,205200,55080,622080,0,324,233280,0,0] [0,0,0,0,41440,161280,17920,71680,322560,0,0,0,0,0,0,0,0,0,0,0,0,21504,0,201600,107520,716800,0,1024,286720,0,0] [576,0,0,1728,6664,102600,1664,15544,715176,9216,2304,0,0,0,0,0,0,0,0,0,0,31872,0,74064,32640,600960,55296,32,152256,147456,0] [288,0,0,2112,2112,90192,960,6144,755016,11520,6144,0,0,0,0,0,0,0,0,0,0,39312,0,39312,25096,586560,97856,0,97856,189568,0] [0,0,0,0,0,78336,0,4608,797760,15648,4608,0,0,0,0,0,0,0,0,0,0,27648,0,27648,18432,555264,92160,0,92160,235776,0] [405,0,0,3240,3240,89829,810,6588,761724,9720,6588,0,0,0,0,0,0,0,0,0,0,51660,0,51660,26136,584208,95472,0,95472,163296,0] [0,4410,31050,0,0,0,0,0,0,0,0,5700,1350,42990,277740,1440,144,119520,884520,103680,344400,0,0,0,0,0,0,0,0,0,133104] [0,0,0,0,0,0,0,0,0,0,0,90720,69120,0,1209600,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,580608] [0,4410,31050,0,0,0,0,0,0,0,0,1440,144,42990,119520,5700,1350,277740,884520,103680,344400,0,0,0,0,0,0,0,0,0,133104] [0,5760,44928,0,0,0,0,0,0,0,0,2448,1152,31584,195840,2448,1152,195840,903456,110592,278784,0,0,0,0,0,0,0,0,0,176064] [0,2754,32400,0,0,0,0,0,0,0,0,1296,360,21906,169020,1296,360,169020,989820,156168,292104,0,0,0,0,0,0,0,0,0,113544] [0,2592,31104,0,0,0,0,0,0,0,0,2916,864,20736,256932,0,0,93312,990792,155520,286416,0,0,0,0,0,0,0,0,0,108864] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,90720,69120,1209600,0,0,0,0,0,0,0,0,0,0,0,0,580608] [0,2592,31104,0,0,0,0,0,0,0,0,0,0,20736,93312,2916,864,256932,990792,155520,286416,0,0,0,0,0,0,0,0,0,108864] [0,0,25920,0,0,0,0,0,0,0,0,0,0,8640,138240,0,0,138240,1066320,221040,272160,0,0,0,0,0,0,0,0,0,79488] [900,0,0,5010,5010,108900,2600,10200,675450,10080,10200,0,0,0,0,0,0,0,0,0,0,55460,24,55460,45850,630800,100800,24,100800,132480,0] CharPoly = x^5*(x-1950048)*(x-177024)*(x-175824)*(x-17424)*(x-16224)* (x+16224)*(x+17424)*(x+175824)*(x+177024)*(x+1950048)* (x^2-2400*x-19468800)*(x^2-2571955200)*(x^2-20908800)*(x^2+2400*x-19468800)* (x^4-69696*x^3+1801529856*x^2-20460890013696*x+86088060602155008)* (x^4+69696*x^3+1801529856*x^2+20460890013696*x+86088060602155008) N(P)=13 [26504,0,0,48384,48384,311040,0,41472,1741824,27648,41472,0,0,0,0,0,0,0,0,0,0,248832,0,248832,124416,1741824,290304,0,290304,0,0] [0,51080,124416,0,0,0,0,0,0,0,0,17664,3456,165888,635904,17664,3456,635904,2156544,55296,893952,0,0,0,0,0,0,0,0,0,470016] [0,9216,104072,0,0,0,0,0,0,0,0,4608,1024,76800,481280,4608,1024,481280,2525184,399360,847872,0,0,0,0,0,0,0,0,0,294912] [6720,0,0,53096,28320,371520,15360,0,1555200,0,82560,0,0,0,0,0,0,0,0,0,0,380160,384,119040,161280,1758720,468480,0,138240,92160,0] [6720,0,0,28320,53096,371520,15360,82560,1555200,0,0,0,0,0,0,0,0,0,0,0,0,119040,0,380160,161280,1758720,138240,384,468480,92160,0] [1280,0,0,11008,11008,285704,5504,20992,1953792,25600,20992,0,0,0,0,0,0,0,0,0,0,141312,0,141312,79360,1596416,265728,0,265728,405504,0] [0,0,0,36864,36864,445824,26888,24576,1575936,0,24576,0,0,0,0,0,0,0,0,0,0,285696,0,285696,135168,1677312,282624,0,282624,110592,0] [2304,0,0,0,33024,283392,4096,63560,1890432,24576,6144,0,0,0,0,0,0,0,0,0,0,92160,0,262656,98496,1590272,55296,256,511232,313344,0] [896,0,0,5760,5760,244224,2432,17504,2029832,32256,17504,0,0,0,0,0,0,0,0,0,0,108544,0,108544,69056,1565952,260608,0,260608,501760,0] [960,0,0,0,0,216000,0,15360,2177280,49160,15360,0,0,0,0,0,0,0,0,0,0,92160,0,92160,46080,1451520,241920,0,241920,591360,0] [2304,0,0,33024,0,283392,4096,6144,1890432,24576,63560,0,0,0,0,0,0,0,0,0,0,262656,256,92160,98496,1590272,511232,0,55296,313344,0] [0,33120,116640,0,0,0,0,0,0,0,0,42056,12960,116640,1205280,4320,0,155520,2021760,103680,869760,0,0,0,0,0,0,0,0,0,549504] [0,26880,107520,0,0,0,0,0,0,0,0,53760,24136,248640,1469440,0,0,107520,1774080,0,860160,0,0,0,0,0,0,0,0,0,559104] [0,18432,115200,0,0,0,0,0,0,0,0,6912,3552,136392,557568,6912,3552,557568,2366976,221184,814080,0,0,0,0,0,0,0,0,0,422912] [0,8832,90240,0,0,0,0,0,0,0,0,8928,2624,69696,669576,1152,192,297696,2581632,382464,805248,0,0,0,0,0,0,0,0,0,312960] [0,33120,116640,0,0,0,0,0,0,0,0,4320,0,116640,155520,42056,12960,1205280,2021760,103680,869760,0,0,0,0,0,0,0,0,0,549504] [0,26880,107520,0,0,0,0,0,0,0,0,0,0,248640,107520,53760,24136,1469440,1774080,0,860160,0,0,0,0,0,0,0,0,0,559104] [0,8832,90240,0,0,0,0,0,0,0,0,1152,192,69696,297696,8928,2624,669576,2581632,382464,805248,0,0,0,0,0,0,0,0,0,312960] [0,4992,78912,0,0,0,0,0,0,0,0,2496,528,49312,430272,2496,528,430272,2712584,468480,781440,0,0,0,0,0,0,0,0,0,268928] [0,768,74880,0,0,0,0,0,0,0,0,768,0,27648,382464,768,0,382464,2810880,570632,763392,0,0,0,0,0,0,0,0,0,216576] [0,6984,89424,0,0,0,0,0,0,0,0,3624,864,57240,452952,3624,864,452952,2637360,429408,794408,0,0,0,0,0,0,0,0,0,301536] [2160,0,0,23760,7440,298080,7440,14400,1831680,23040,41040,0,0,0,0,0,0,0,0,0,0,213416,144,124320,109920,1660800,389760,0,161280,322560,0] [0,0,0,241920,0,0,0,0,0,0,403200,0,0,0,0,0,0,0,0,0,0,1451520,9800,0,302400,1612800,1209600,0,0,0,0] [2160,0,0,7440,23760,298080,7440,41040,1831680,23040,14400,0,0,0,0,0,0,0,0,0,0,124320,0,213416,109920,1660800,161280,144,389760,322560,0] [1728,0,0,16128,16128,267840,5632,24624,1864512,18432,24624,0,0,0,0,0,0,0,0,0,0,175872,48,175872,116360,1678592,264192,48,264192,316416,0] [1134,0,0,8244,8244,252558,3276,18636,1981908,27216,18636,0,0,0,0,0,0,0,0,0,0,124560,12,124560,78684,1599944,264576,12,264576,454464,0] [1134,0,0,13176,3888,252234,3312,3888,1978992,27216,35946,0,0,0,0,0,0,0,0,0,0,175392,54,72576,74304,1587456,383048,0,164160,454464,0] [0,0,0,0,241920,0,0,403200,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1451520,302400,1612800,0,9800,1209600,0,0] [1134,0,0,3888,13176,252234,3312,35946,1978992,27216,3888,0,0,0,0,0,0,0,0,0,0,72576,0,175392,74304,1587456,164160,54,383048,454464,0] [0,0,0,1440,1440,213840,720,12240,2116800,36960,12240,0,0,0,0,0,0,0,0,0,0,80640,0,80640,49440,1514880,252480,0,252480,605000,0] [0,10200,86400,0,0,0,0,0,0,0,0,6360,1560,82600,489000,6360,1560,489000,2521200,338400,837600,0,0,0,0,0,0,0,0,0,361000] CharPoly = (x-5231240)^2*(x-404936)^2*(x-400136)^2*(x-30536)^2*(x-25736)^2* (x-9800)*(x-6344)*(x-5384)*(x-3080)^2*(x-1160)* (x+1720)^4*(x+23800)^2*(x+39160)*(x^2-66640*x+1077256768)^4 -------------------- n=10 Gram Matrix A oplus A oplus A oplus A oplus A Mass = 2.97741438985081156305114638448 Too big.