Q8pols := [
 x^8-12*x^6+36*x^4-36*x^2+9
, x^8-x^7-34*x^6+29*x^5+361*x^4-305*x^3-1090*x^2+1345*x-395
, x^8-80*x^6+264*x^5+396*x^4-2040*x^3+184*x^2+2832*x+409
, x^8-5*x^7-39*x^6+160*x^5+551*x^4-1210*x^3-3024*x^2-1630*x-149
, x^8-84*x^6+1764*x^4-12348*x^2+21609
, x^8-84*x^6-264*x^5-38*x^4+528*x^3+268*x^2-264*x-98
, x^8-60*x^6+1170*x^4-9000*x^2+22500
, x^8-60*x^6+810*x^4-1800*x^2+900
, x^8-5*x^7-84*x^6+605*x^5-579*x^4-1445*x^3-494*x^2-5*x+1
, x^8+4*x^7-86*x^6-612*x^5-229*x^4+6800*x^3+12612*x^2-12832*x-33724
, x^8+x^7-77*x^6-424*x^5-503*x^4+1406*x^3+3532*x^2+742*x-2129
, x^8+x^7-82*x^6-170*x^5+1981*x^4+5912*x^3-11962*x^2-57289*x-51413
, x^8-152*x^6-528*x^5+4326*x^4+20328*x^3-25364*x^2-194040*x-164834
, x^8-2*x^7-136*x^6+22*x^5+5566*x^4+6410*x^3-45400*x^2-14110*x-1055
, x^8-176*x^6+624*x^5+6030*x^4-28392*x^3-46820*x^2+319800*x-242306
, x^8-84*x^6+2394*x^4-24696*x^2+44100
, x^8-104*x^6+168*x^5+2670*x^4-8736*x^3+8488*x^2-2688*x+268
, x^8-84*x^6+152*x^5+1924*x^4-6080*x^3-3300*x^2+15656*x+9649
, x^8-212*x^6+11442*x^4-13056*x^3-189116*x^2+365976*x+272494
, x^8-84*x^6+2268*x^4-19404*x^2+441
, x^8-96*x^6+168*x^5+1566*x^4-504*x^3-10188*x^2-14616*x-6282
, x^8-236*x^6+14154*x^4+16416*x^3-261980*x^2-509352*x+496414
, x^8+7*x^7-133*x^6+100*x^5+2521*x^4-6760*x^3+3308*x^2+776*x+31
, x^8-7*x^7-124*x^6+581*x^5+6277*x^4-12257*x^3-132226*x^2-14399*x+594031
, x^8-156*x^6-528*x^5+2570*x^4+4224*x^3-17628*x^2+15576*x-4226
, x^8-284*x^6+20442*x^4+24288*x^3-459548*x^2-899208*x+1298926
, x^8-4*x^7-166*x^6+1436*x^5-113*x^4-33896*x^3+109724*x^2-57776*x-117314
, x^8-140*x^6+264*x^5+5634*x^4-17952*x^3-39896*x^2+106656*x+159736
, x^8+4*x^7-208*x^6-848*x^5+14065*x^4+51248*x^3-360568*x^2-806824*x+3574201
, x^8-4*x^7-224*x^6+896*x^5+13741*x^4-31360*x^3-326480*x^2-4120*x+1409305
, x^8-4*x^7-222*x^6+1240*x^5+11881*x^4-83280*x^3+17082*x^2+241812*x+117531
, x^8-196*x^6-840*x^5+8106*x^4+70560*x^3+188944*x^2+199920*x+64876
, x^8-204*x^6+8874*x^4-124848*x^2+374544
, x^8-356*x^6+32034*x^4-38976*x^3-911420*x^2+1793592*x+3881854
, x^8-380*x^6+36474*x^4-44640*x^3-1110428*x^2+2188104*x+5266126
, x^8-5*x^7-160*x^6+1216*x^5+4711*x^4-66946*x^3+173888*x^2+50195*x-474725
, x^8-x^7-217*x^6-1210*x^5+3301*x^4+41800*x^3+114102*x^2+111948*x+25631
, x^8-444*x^6+840*x^5+46836*x^4-10080*x^3-1705644*x^2-3056760*x+5742801
, x^8-272*x^6-1760*x^5+7438*x^4+97240*x^3+258908*x^2+26840*x-471554
, x^8-x^7-299*x^6-271*x^5+27811*x^4+53210*x^3-914780*x^2-1968280*x+6556720
, x^8+4*x^7-282*x^6+452*x^5+6379*x^4-5648*x^3-23608*x^2+33192*x-9598
, x^8-200*x^6-528*x^5+2262*x^4+3432*x^3-9620*x^2+1848*x+526
, x^8-156*x^6-264*x^5+6948*x^4+22176*x^3-56700*x^2-217800*x-21375
, x^8-464*x^6+1776*x^5+48942*x^4-229992*x^3-1539812*x^2+7325112*x+4545118
, x^8-140*x^6+1820*x^4-4900*x^2+1225
, x^8-164*x^6-280*x^5+4066*x^4+2800*x^3-30404*x^2-2520*x+60166
, x^8-x^7-178*x^6-550*x^5+7225*x^4+44407*x^3+55928*x^2-45392*x+4096
, x^8-512*x^6-1968*x^5+60126*x^4+282408*x^3-2131364*x^2-9963000*x+8606926
, x^8-8*x^7-296*x^6+3048*x^5+16451*x^4-227020*x^3+3360*x^2+3545000*x-2073100
, x^8+x^7-362*x^6+355*x^5+39361*x^4-50165*x^3-1697198*x^2+1513147*x+25376311
, x^8+4*x^7-245*x^6-518*x^5+14875*x^4+37702*x^3-217490*x^2-874604*x-816884
, x^8-536*x^6+2088*x^5+61500*x^4-211800*x^3-2411600*x^2+5162016*x+25371337
, x^8-156*x^6+7020*x^4-103428*x^2+184041
, x^8-156*x^6+5148*x^4-54756*x^2+184041
, x^8-584*x^6+2280*x^5+73980*x^4-254040*x^3-3197696*x^2+6801792*x+36832729
, x^8+x^7-253*x^6+2416*x^5-9188*x^4+14684*x^3-5269*x^2-5473*x-227
, x^8-4*x^7-358*x^6-612*x^5+26767*x^4+91528*x^3-532340*x^2-2367712*x-802226
, x^8-236*x^6-456*x^5+16212*x^4+51072*x^3-265196*x^2-605112*x+1727857
, x^8-5*x^7-396*x^6-1490*x^5+33271*x^4+345840*x^3+1341114*x^2+2371275*x+1596501
, x^8-348*x^6-1848*x^5+10258*x^4+25872*x^3-95828*x^2-24024*x+139294
, x^8+x^7-212*x^6-905*x^5+9571*x^4+87415*x^3+268762*x^2+359617*x+176101
, x^8+3*x^7-320*x^6+1933*x^5+3103*x^4-28457*x^3-24622*x^2+50141*x+44629
, x^8+5*x^7-335*x^6+23*x^5+37996*x^4-154765*x^3-1019759*x^2+7705784*x-12969431
, x^8-656*x^6+1248*x^5+110124*x^4-344472*x^3-5709824*x^2+22953288*x+20945233
, x^8-172*x^6+6020*x^4-66564*x^2+149769
, x^8-3*x^7-242*x^6+615*x^5+20107*x^4-41925*x^3-628082*x^2+962247*x+4577911
, x^8-680*x^6-1296*x^5+118236*x^4+370680*x^3-6364856*x^2-25590888*x+26258929
, x^8+5*x^7-446*x^6-1375*x^5+68221*x^4+120635*x^3-4100696*x^2-3762355*x+77803321
, x^8+4*x^7-454*x^6-2696*x^5+43201*x^4+451280*x^3+1216490*x^2+349100*x-550805
, x^8-456*x^6-840*x^5+57726*x^4+70560*x^3-2770776*x^2-393120*x+37474956
, x^8+5*x^7-289*x^6-3160*x^5-299*x^4+125560*x^3+605336*x^2+1018210*x+458491
, x^8-4*x^7-286*x^6+2468*x^5+8527*x^4-133424*x^3+217484*x^2+927472*x-2239202
, x^8-4*x^7-286*x^6-1180*x^5+12175*x^4+105520*x^3+252596*x^2+73840*x-280226
, x^8-732*x^6-1416*x^5+136098*x^4+518256*x^3-6824628*x^2-28159992*x+48095406
, x^8-752*x^6-1440*x^5+144300*x^4+455064*x^3-8627168*x^2-34698312*x+47573233
, x^8+5*x^7-509*x^6-535*x^5+76516*x^4+7445*x^3-4405469*x^2-141640*x+80566081
, x^8-6*x^7-464*x^6+3694*x^5+45341*x^4-286510*x^3-1919220*x^2+4821800*x+25076845
, x^8-6*x^7-392*x^6-1620*x^5+25141*x^4+233310*x^3+621222*x^2+365628*x-21764
, x^8-804*x^6+1560*x^5+156996*x^4-18720*x^3-10467684*x^2-19716840*x+106645041
, x^8-4*x^7-454*x^6+200*x^5+73309*x^4+212032*x^3-3984370*x^2-23818988*x-26933021
, x^8-444*x^6-840*x^5+49986*x^4+110880*x^3-1371744*x^2-5599440*x-5223924
, x^8-11*x^7-319*x^6+6257*x^5-35000*x^4+42027*x^3+118581*x^2-109782*x+11007
, x^8-512*x^6+1904*x^5+48766*x^4-68544*x^3-1714952*x^2-2730336*x+3706424
, x^8-828*x^6+1608*x^5+166644*x^4-19296*x^3-11445804*x^2-21597048*x+122040657
, x^8+3*x^7-255*x^6-654*x^5+12801*x^4+6708*x^3-153946*x^2+266292*x-133731
, x^8-x^7-504*x^6+2449*x^5+60981*x^4-303425*x^3-2688210*x^2+8867675*x+42347275
, x^8+x^7-269*x^6-1334*x^5+16411*x^4+143520*x^3+232710*x^2-652490*x-1666705
, x^8-204*x^6+5508*x^4-10404*x^2+2601
, x^8-212*x^6+408*x^5+13284*x^4-42432*x^3-188324*x^2+440232*x+1155217
, x^8+2*x^7-471*x^6-1682*x^5+68011*x^4+301340*x^3-2846580*x^2-12402960*x+1050580
, x^8-876*x^6-1704*x^5+186804*x^4+20448*x^3-13580892*x^2+25708248*x+157746753
, x^8-296*x^6+520*x^5+19726*x^4-20800*x^3-482096*x^2+74880*x+3360496
, x^8+4*x^7-354*x^6-4196*x^5-13449*x^4+9480*x^3+88020*x^2+18880*x-150890
, x^8-896*x^6-1728*x^5+204204*x^4+649752*x^3-14644784*x^2-58911048*x+122235073
, x^8+5*x^7-614*x^6-640*x^5+112531*x^4+9020*x^3-7912154*x^2-207685*x+176381941
, x^8+4*x^7-521*x^6+2728*x^5+58765*x^4-746864*x^3+3045589*x^2-3584186*x-2679491
, x^8-948*x^6-1848*x^5+219204*x^4+22176*x^3-17256564*x^2+32803848*x+225251937
, x^8+4*x^7-343*x^6-698*x^5+40360*x^4+25538*x^3-1861963*x^2-24844*x+28606021
, x^8-220*x^6+16940*x^4-544500*x^2+6125625
, x^8-384*x^6+2200*x^5+516*x^4-12760*x^3+7016*x^2+18480*x-15319
, x^8-968*x^6+1872*x^5+238044*x^4-760056*x^3-18493400*x^2+74389608*x+180901393
, x^8+4*x^7-452*x^6-44*x^5+28337*x^4+44376*x^3-508902*x^2-1676320*x-1172812
, x^8-496*x^6+1672*x^5+34268*x^4-105336*x^3-791816*x^2+1505104*x+6280969
, x^8-2*x^7-454*x^6-2798*x^5+41797*x^4+569504*x^3+2461628*x^2+4142336*x+2336272
, x^8+x^7-294*x^6-249*x^5+26981*x^4+22765*x^3-728290*x^2-891995*x-256645
, x^8-392*x^6-3648*x^5-1428*x^4+79800*x^3+206536*x^2-164616*x-689999
, x^8-392*x^6+1824*x^5+12252*x^4+4104*x^3-23288*x^2-4104*x+10417
, x^8-1020*x^6+1992*x^5+254196*x^4-23904*x^3-21541356*x^2-41096952*x+312333201
, x^8+4*x^7-476*x^6-980*x^5+57379*x^4+149968*x^3-1518482*x^2-6935120*x-7480541
, x^8+6*x^7-479*x^6-3762*x^5+69051*x^4+689172*x^3-2149292*x^2-35585040*x-79537904
, x^8-4*x^7-474*x^6+1856*x^5+63401*x^4-105680*x^3-2891810*x^2-4506540*x+2786995
, x^8+4*x^7-474*x^6-4376*x^5+39461*x^4+597080*x^3+1522390*x^2-3507900*x-8941295
, x^8+x^7-367*x^6-345*x^5+43481*x^4+62850*x^3-1772968*x^2-3840128*x+8420176
, x^8-300*x^6+584*x^5+27034*x^4-86432*x^3-619656*x^2+1368896*x+5475016
, x^8-1044*x^6-2040*x^5+266436*x^4+24480*x^3-23113044*x^2+44143560*x+346299201
, x^8-744*x^6-1320*x^5+131526*x^4+807840*x^3-2026584*x^2-23015520*x-40198644
, x^8-4*x^7-694*x^6+4136*x^5+129181*x^4-590600*x^3-9938230*x^2+20752540*x+262628545
, x^8-244*x^6+472*x^5+16308*x^4-49088*x^3-268836*x^2+603688*x+1540801
, x^8-4*x^7-399*x^6+2342*x^5+26224*x^4-73698*x^3-705691*x^2-898904*x+91373
, x^8-1088*x^6+2112*x^5+300204*x^4-963096*x^3-26313200*x^2+105828168*x+320850433
, x^8-3*x^7-359*x^6-3762*x^5-14913*x^4-14652*x^3+45706*x^2+77562*x-37589
, x^8+9*x^7-614*x^6-6991*x^5+81301*x^4+911475*x^3-4277930*x^2-31747365*x+107508395
, x^8-1112*x^6+2160*x^5+313500*x^4-1006584*x^3-28103528*x^2+113024232*x+356301313
, x^8-624*x^6-4576*x^5+50030*x^4+591448*x^3+1064284*x^2-4789928*x-12194914
, x^8-588*x^6+5880*x^5+30618*x^4-599760*x^3+1416492*x^2+8132040*x-29350314
, x^8-432*x^6-840*x^5+58014*x^4+194040*x^3-2106828*x^2-7819560*x-6501834
, x^8+9*x^7-773*x^6-7008*x^5+191325*x^4+1588218*x^3-17167988*x^2-110406564*x+336478081
, x^8-1160*x^6+2256*x^5+340956*x^4-1096440*x^3-31924376*x^2+128380008*x+435749329
, x^8-x^7-318*x^6+1271*x^5+15333*x^4-30687*x^3-239874*x^2-354229*x-159689
, x^8-3*x^7-323*x^6+450*x^5+32931*x^4-600*x^3-983762*x^2-721434*x-114389
, x^8-1184*x^6+2304*x^5+355116*x^4-1142808*x^3-33958352*x^2+136553544*x+480033313
, x^8-x^7-824*x^6-796*x^5+212611*x^4+418610*x^3-20484680*x^2-42141280*x+555345520
, x^8-1232*x^6+2400*x^5+384300*x^4-1238424*x^3-38282048*x^2+153926472*x+578464273
, x^8-5*x^7-670*x^6+3265*x^5+55957*x^4+58775*x^3-822610*x^2-2738335*x-2493539
, x^8-816*x^6-3120*x^5+151326*x^4+1272960*x^3+157824*x^2-16819920*x-14420124
, x^8+4*x^7-814*x^6-56*x^5+195061*x^4-70480*x^3-18268450*x^2-506500*x+548603875
, x^8-1256*x^6+2448*x^5+399324*x^4-1287672*x^3-40575224*x^2+163139688*x+632918833
, x^8-784*x^6+2992*x^5+119758*x^4-155584*x^3-6505416*x^2-11231968*x+36166904
, x^8-712*x^6-5280*x^5+66838*x^4+780120*x^3+1194348*x^2-8090280*x-18794034
, x^8-276*x^6-536*x^5+13156*x^4+21440*x^3-153060*x^2-286760*x+88657
, x^8-6*x^7-672*x^6+150*x^5+126821*x^4+201690*x^3-8630868*x^2-14659752*x+177002941
, x^8-1304*x^6+2544*x^5+430236*x^4-1389048*x^3-45432872*x^2+182654184*x+753100993
, x^8-4*x^7-610*x^6-1764*x^5+54923*x^4+109296*x^3-1770208*x^2-660328*x+14274802
, x^8-1328*x^6+2592*x^5+446124*x^4-1441176*x^3-48000800*x^2+192969288*x+819156913
, x^8-x^7-772*x^6+765*x^5+178931*x^4+29505*x^3-15266188*x^2-14996107*x+355032391
, x^8-576*x^6+4872*x^5+34110*x^4-626400*x^3+3162744*x^2-6756768*x+5081004
, x^8-348*x^6+33930*x^4-1271592*x^2+16016004
, x^8-648*x^6-912*x^5+134892*x^4+307192*x^3-9081592*x^2-25572328*x-4448863
, x^8+5*x^7-561*x^6-2865*x^5+71036*x^4+541025*x^3-13151*x^2-3942005*x+3806531
, x^8-2*x^7-588*x^6+550*x^5+109001*x^4+93050*x^3-5984112*x^2-26347816*x-31145279
, x^8-1376*x^6+2688*x^5+478764*x^4-1548312*x^3-53423504*x^2+214749768*x+964045153
, x^8-4*x^7-438*x^6+4532*x^5+19195*x^4-476352*x^3+2579048*x^2-5850632*x+4869554
, x^8-7*x^7-668*x^6+2115*x^5+152331*x^4-65075*x^3-13278562*x^2-15355751*x+294234121
, x^8-x^7-519*x^6+1769*x^5+64841*x^4-252260*x^3-2115020*x^2+7867920*x-6582320
, x^8-1400*x^6+2736*x^5+495516*x^4-1603320*x^3-56281736*x^2+226228968*x+1043226529
, x^8-x^7-387*x^6+40*x^5+47431*x^4+66830*x^3-1718088*x^2-7589502*x-9061469
, x^8+4*x^7-566*x^6-8992*x^5-26623*x^4+386776*x^3+3630146*x^2+11607908*x+12946427
, x^8-672*x^6+2184*x^5+19558*x^4-61152*x^3-96040*x^2+428064*x-320852
, x^8-4*x^7-673*x^6+44*x^5+61045*x^4-103604*x^3-1580752*x^2+5548240*x-3062804
, x^8-1448*x^6+2832*x^5+529884*x^4-1716216*x^3-62300600*x^2+250399848*x+1215962353
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];