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
, x^8-816*x^6+7568*x^5+64764*x^4-854216*x^3+1393760*x^2+2566872*x+845249
, x^8-584*x^6+5320*x^5+50756*x^4-967960*x^3+5106336*x^2-10581760*x+7429801
, x^8-444*x^6+25346*x^4+70560*x^3-170124*x^2-839160*x-815114
, x^8+x^7-1042*x^6-995*x^5+357991*x^4+47555*x^3-45017068*x^2+39723137*x+1147889341
, x^8-3*x^7-428*x^6-4053*x^5-7569*x^4+39627*x^3+105910*x^2-125817*x-203201
, x^8-372*x^6+41850*x^4-1868184*x^2+29095236
, x^8-396*x^6-744*x^5+33138*x^4-8928*x^3-750816*x^2+2218608*x-1845684
, x^8-920*x^6+3536*x^5+167086*x^4-212160*x^3-10661576*x^2-18818592*x+78706616
, x^8-3*x^7-388*x^6+1745*x^5+42911*x^4-233435*x^3-858982*x^2+3612111*x-2924279
, x^8-6*x^7-899*x^6+7174*x^5+205421*x^4-1207840*x^3-18928590*x^2+41995160*x+531930580
, x^8-1536*x^6+3048*x^5+585270*x^4-1179576*x^3-72566892*x^2+144027144*x+2125261134
, x^8-2*x^7-544*x^6-1718*x^5+78049*x^4+533390*x^3-217096*x^2-2634424*x-1814231
, x^8+2*x^7-701*x^6+4818*x^5+91656*x^4-1126990*x^3+2796505*x^2+2924990*x+192755
, x^8-4*x^7-754*x^6+2804*x^5+180463*x^4-495008*x^3-13982176*x^2+17147392*x-5170304
, x^8+4*x^7-694*x^6-6716*x^5+57439*x^4+804776*x^3+892748*x^2-12256240*x-24941234
, x^8+4*x^7-674*x^6+2620*x^5+34591*x^4-104736*x^3-306744*x^2+1244128*x-1022344
, x^8-1584*x^6+3144*x^5+622566*x^4-1254456*x^3-79681644*x^2+158184072*x+2413223262
, x^8+7*x^7-391*x^6-4112*x^5+24241*x^4+538490*x^3+2997680*x^2+7105580*x+6165745
, x^8+x^7-1147*x^6-1100*x^5+435271*x^4+51650*x^3-61019488*x^2+54599852*x+1841334541
, x^8-1608*x^6+3192*x^5+641646*x^4-1292760*x^3-83407068*x^2+165597768*x+2567709918
, x^8-904*x^6-8448*x^5+83948*x^4+1071400*x^3+1408808*x^2-4557432*x+2143073
, x^8-4*x^7-1054*x^6+56*x^5+334501*x^4+132880*x^3-41637250*x^2+866500*x+1666463875
, x^8-1104*x^6-2040*x^5+284886*x^4+1982880*x^3-7316424*x^2-81102240*x-145351764
, x^8+7*x^7-611*x^6-4307*x^5+120376*x^4+766075*x^3-8769245*x^2-41740730*x+158257705
, x^8-1656*x^6+3288*x^5+680670*x^4-1371096*x^3-91202652*x^2+181112904*x+2898808974
, x^8-9*x^7-825*x^6+1563*x^5+233856*x^4+935793*x^3-20504385*x^2-185356323*x-414606807
, x^8-1680*x^6+3336*x^5+700614*x^4-1411128*x^3-95276268*x^2+189221256*x+3075877566
, x^8-x^7-1202*x^6-3400*x^5+397096*x^4+749465*x^3-50460668*x^2-2794672*x+1807481461
, x^8-2*x^7-1196*x^6+4762*x^5+448441*x^4-1602890*x^3-67250000*x^2+133174120*x+3541682005
, x^8+5*x^7-451*x^6+2822*x^5+11677*x^4-128690*x^3+200706*x^2+236658*x+32279
, x^8-5*x^7-415*x^6+6295*x^5-28124*x^4-7321*x^3+272273*x^2-220414*x-508667
, x^8-1728*x^6+3432*x^5+741366*x^4-1492920*x^3-103783788*x^2+206156808*x+3454219278
, x^8+3*x^7-565*x^6-6324*x^5-8389*x^4+164798*x^3+847748*x^2+1393524*x+526847
, x^8-1056*x^6+2040*x^5+240662*x^4+179520*x^3-17958384*x^2-63925440*x+70641136
, x^8+4*x^7-958*x^6-200*x^5+319261*x^4-1078912*x^3-36880450*x^2+239216492*x+16395355
, x^8-992*x^6+254070*x^4+295680*x^3-11822912*x^2+30140880*x-10772156
, x^8-1752*x^6+3480*x^5+762174*x^4-1534680*x^3-108221148*x^2+214990920*x+3655969326
, x^8-332*x^6+14276*x^4-27556*x^2+6889
, x^8+2*x^7-1058*x^6+2000*x^5+310171*x^4-456960*x^3-34090882*x^2+1876406*x+1058022161
, x^8-992*x^6+9328*x^5+105596*x^4-1313224*x^3+1311216*x^2+7228760*x+4364017
, x^8-1800*x^6+3576*x^5+804654*x^4-1619928*x^3-117471708*x^2+233409096*x+4085846046
, x^8-9*x^7-462*x^6+1629*x^5+82485*x^4+143100*x^3-5053356*x^2-30391920*x-45466992
, x^8-11*x^7-862*x^6+4475*x^5+237951*x^4-615395*x^3-26157668*x^2+29287353*x+967595711
, x^8-1176*x^6+2280*x^5+422766*x^4-519840*x^3-59393016*x^2+3036960*x+2576796876
, x^8-4*x^7-1138*x^6+4568*x^5+286705*x^4-693128*x^3-12145558*x^2+24733444*x+93049081
, x^8-1824*x^6+3624*x^5+826326*x^4-1663416*x^3-122288364*x^2+243000072*x+4314470382
, x^8-9*x^7-1272*x^6+4050*x^5+473661*x^4-1008990*x^3-66223008*x^2+130193712*x+2577185136
, x^8+2*x^7-708*x^6+4250*x^5+93801*x^4-970890*x^3+1112328*x^2+7788176*x+4812961
, x^8+7*x^7-708*x^6-8964*x^5+32735*x^4+448786*x^3-1223768*x^2-4060576*x+10780016
, x^8-2*x^7-793*x^6+5590*x^5+124066*x^4-799210*x^3-5449717*x^2+14626454*x-8500769
, x^8+4*x^7-688*x^6-1388*x^5+161455*x^4+102128*x^3-15065458*x^2-100744*x+472451971
, x^8-1872*x^6+3720*x^5+870534*x^4-1752120*x^3-132313068*x^2+262963080*x+4800361086
, x^8-1896*x^6+3768*x^5+893070*x^4-1797336*x^3-137524572*x^2+273342024*x+5058145854
, x^8+3*x^7-453*x^6-3440*x^5+43491*x^4+627820*x^3+2668248*x^2+4066044*x+1105231
, x^8+5*x^7-640*x^6-2050*x^5+120373*x^4+220960*x^3-5458150*x^2-21367085*x-20833559
, x^8-4*x^7-571*x^6+44*x^5+46612*x^4-58520*x^3-1101964*x^2+2746912*x+646528
, x^8+x^7-475*x^6-4037*x^5+9106*x^4+162404*x^3+182120*x^2-1564480*x-3277952
, x^8-1944*x^6+3864*x^5+939006*x^4-1889496*x^3-148354524*x^2+294912072*x+5604716142
, x^8-1080*x^6-10208*x^5+129708*x^4+1579688*x^3+1077752*x^2-10673784*x+7833329
, x^8+6*x^7-831*x^6-306*x^5+184401*x^4-839052*x^3-10531926*x^2+94027032*x-204870132
, x^8-2*x^7-811*x^6-4226*x^5+165319*x^4+2098892*x^3+7433210*x^2+2859992*x-2066252
, x^8-604*x^6+3096*x^5+60610*x^4-142416*x^3-2308692*x^2-5476824*x-3261042
, x^8-1968*x^6+3912*x^5+962406*x^4-1936440*x^3-153976428*x^2+306110088*x+5894040798
, x^8+4*x^7-566*x^6+1452*x^5+73067*x^4-521776*x^3+997116*x^2-724528*x+178556
, x^8-2016*x^6+4008*x^5+1010070*x^4-2032056*x^3-165642732*x^2+329349384*x+6506142894
, x^8-364*x^6+41132*x^4-1755572*x^2+25050025
, x^8-404*x^6-1456*x^5+37546*x^4+160160*x^3-684316*x^2-1014104*x+1409398
, x^8+4*x^7-734*x^6+6984*x^5+66741*x^4-1541360*x^3+10542190*x^2-32276180*x+37710755
, x^8-4*x^7-458*x^6+928*x^5+73365*x^4-43248*x^3-4679118*x^2+42324*x+102434411
, x^8+2*x^7-1438*x^6-8380*x^5+560911*x^4+2690620*x^3-84400342*x^2-181832114*x+4113166801
, x^8+12*x^6+36*x^4+36*x^2+9
, x^8-3*x^7+22*x^6-60*x^5+201*x^4-450*x^3+1528*x^2-3069*x+4561
, x^8+60*x^6+900*x^4+4500*x^2+5625
, x^8+84*x^6+1764*x^4+12348*x^2+21609
, x^8+44*x^6+308*x^4+484*x^2+121
, x^8+60*x^6+810*x^4+1800*x^2+900
, x^8+60*x^6+1170*x^4+9000*x^2+22500
, x^8+68*x^6+986*x^4+4624*x^2+4624
, x^8-x^7+50*x^6+71*x^5+529*x^4+2173*x^3+842*x^2+5545*x+17623
, x^8+132*x^6+4356*x^4+47916*x^2+131769
, x^8+105*x^6+3780*x^4+55125*x^2+275625
, x^8+156*x^6+6084*x^4+79092*x^2+257049
, x^8+84*x^6+1890*x^4+10584*x^2+1764
, x^8+84*x^6+2394*x^4+24696*x^2+44100
, x^8+5*x^7+106*x^6+275*x^5+2871*x^4-95*x^3+34096*x^2-9245*x+472261
, x^8+76*x^6+1748*x^4+12996*x^2+29241
, x^8+7*x^7+72*x^6+160*x^5+641*x^4-4870*x^3+23308*x^2-42279*x+43091
, x^8+204*x^6+10404*x^4+176868*x^2+751689
, x^8+84*x^6+2268*x^4+19404*x^2+441
, x^8+84*x^6+1260*x^4+5292*x^2+441
, x^8+228*x^6+12996*x^4+246924*x^2+1172889
, x^8+3*x^7+64*x^6+192*x^5+1836*x^4+4635*x^3+39520*x^2+110850*x+565795
, x^8-4*x^7+176*x^6-1228*x^5+5101*x^4-13634*x^3+24089*x^2-14501*x+4267
, x^8+145*x^6+6380*x^4+105125*x^2+525625
, x^8+132*x^6+2772*x^4+13068*x^2+9801
, x^8-3*x^7+72*x^6-592*x^5+3519*x^4-9968*x^3+23522*x^2-66393*x+114383
, x^8+276*x^6+19044*x^4+438012*x^2+2518569
, x^8+132*x^6+2970*x^4+17424*x^2+17424
, x^8+132*x^6+5346*x^4+69696*x^2+278784
, x^8+210*x^6+15120*x^4+441000*x^2+4410000
, x^8+210*x^6+13860*x^4+352800*x^2+2822400
, x^8-3*x^7+142*x^6-115*x^5+6641*x^4+3055*x^3+157938*x^2+152941*x+2031361
, x^8+140*x^6+5810*x^4+88200*x^2+396900
, x^8+140*x^6+4970*x^4+49000*x^2+122500
, x^8+x^7+78*x^6+100*x^5+2541*x^4+7670*x^3+65772*x^2+36712*x+1485296
, x^8+204*x^6+8874*x^4+124848*x^2+374544
, x^8+348*x^6+30276*x^4+878004*x^2+6365529
, x^8-7*x^7+165*x^6+224*x^5+3149*x^4+9316*x^3+26350*x^2+64770*x+90151
, x^8+372*x^6+34596*x^4+1072476*x^2+8311689
, x^8-3*x^7+109*x^6+138*x^5+3801*x^4+13938*x^3+54538*x^2+67350*x+58153
, x^8+420*x^6+44100*x^4+1543500*x^2+13505625
, x^8+220*x^6+7700*x^4+60500*x^2+75625
, x^8+205*x^6+13940*x^4+378225*x^2+3404025
, x^8-x^7+281*x^6-286*x^5+27451*x^4-32120*x^3+1144250*x^2-1064930*x+19353205
, x^8+164*x^6+7298*x^4+107584*x^2+430336
, x^8+132*x^6+4356*x^4+30492*x^2+27225
, x^8+132*x^6+5940*x^4+100188*x^2+393129
, x^8-3*x^7+244*x^6-747*x^5+18061*x^4-62595*x^3+586290*x^2-1456515*x+9096595
, x^8+444*x^6+49284*x^4+1823508*x^2+16867449
, x^8-x^7+93*x^6-325*x^5+3191*x^4-20180*x^3+191812*x^2-803712*x+2080016
, x^8+221*x^6+6188*x^4+48841*x^2+48841
, x^8+140*x^6+5180*x^4+44100*x^2+99225
, x^8+140*x^6+1820*x^4+4900*x^2+1225
, x^8+3*x^7+64*x^6-1317*x^5+11832*x^4-54585*x^3+158563*x^2-270108*x+232816
, x^8+492*x^6+60516*x^4+2481156*x^2+25431849
, x^8+290*x^6+25520*x^4+841000*x^2+8410000
, x^8+x^7+331*x^6-359*x^5+34741*x^4-72110*x^3+1529620*x^2-2829800*x+25930480
, x^8+231*x^6+17325*x^4+426888*x^2+853776
, x^8+516*x^6+66564*x^4+2862252*x^2+30769209
, x^8+156*x^6+5148*x^4+54756*x^2+184041
, x^8+156*x^6+7020*x^4+103428*x^2+184041
, x^8+564*x^6+79524*x^4+3737628*x^2+43917129
, x^8+3*x^7+142*x^6+294*x^5+5889*x^4+3723*x^3+125968*x^2-323508*x+391264
, x^8+340*x^6+24650*x^4+578000*x^2+2890000
, x^8+228*x^6+15732*x^4+350892*x^2+2368521
, x^8+308*x^6+15092*x^4+166012*x^2+290521
, x^8-5*x^7+116*x^6-710*x^5+3691*x^4-37510*x^3+202916*x^2+139640*x+6115216
, x^8+x^7+281*x^6-302*x^5+19933*x^4-54610*x^3+257252*x^2-1236544*x+1811569
, x^8+636*x^6+101124*x^4+5359572*x^2+71014329
, x^8+172*x^6+6020*x^4+66564*x^2+149769
, x^8+660*x^6+108900*x^4+5989500*x^2+82355625
, x^8+x^7+436*x^6-464*x^5+60151*x^4-123770*x^3+3409960*x^2-6434240*x+71424880
, x^8+420*x^6+39690*x^4+617400*x^2+2160900
, x^8+420*x^6+57330*x^4+3087000*x^2+54022500
, x^8-x^7+116*x^6+464*x^5+2401*x^4+62410*x^3+482900*x^2+1500145*x+1767295
, x^8-3*x^7+389*x^6-1182*x^5+45901*x^4-156990*x^3+2236100*x^2-5987910*x+45913255
, x^8+228*x^6+7866*x^4+51984*x^2+51984
, x^8+228*x^6+11970*x^4+207936*x^2+831744
, x^8+708*x^6+125316*x^4+7393644*x^2+109056249
, x^8+732*x^6+133956*x^4+8171316*x^2+124612569
, x^8+3*x^7+134*x^6+412*x^5+8201*x^4+21370*x^3+363720*x^2+1120925*x+12484145
, x^8-x^7+491*x^6-496*x^5+83311*x^4-96380*x^3+5898860*x^2-5667080*x+158482405
, x^8+7*x^7+357*x^6+960*x^5+39581*x^4+6650*x^3+1979588*x^2-1211324*x+47762621
, x^8+780*x^6+152100*x^4+9886500*x^2+160655625
, x^8+420*x^6+47250*x^4+1323000*x^2+1102500
, x^8+420*x^6+59850*x^4+3087000*x^2+27562500
, x^8+476*x^6+48314*x^4+1586032*x^2+11102224
, x^8+804*x^6+161604*x^4+10827468*x^2+181360089
, x^8+5*x^7+149*x^6+305*x^5+4136*x^4-46735*x^3+76099*x^2+493785*x+10788751
, x^8-x^7+365*x^6-2670*x^5+26017*x^4-134006*x^3+556474*x^2-1606528*x+2472187
, x^8+204*x^6+12852*x^4+260100*x^2+1625625
, x^8+204*x^6+5508*x^4+10404*x^2+2601
, x^8+410*x^6+55760*x^4+3025800*x^2+54464400
, x^8+852*x^6+181476*x^4+12884796*x^2+228705129
, x^8+260*x^6+11570*x^4+67600*x^2+67600
, x^8+260*x^6+20930*x^4+608400*x^2+5475600
, x^8+876*x^6+191844*x^4+14004612*x^2+255584169
, x^8+x^7+596*x^6+601*x^5+122581*x^4+141425*x^3+10465730*x^2+10127795*x+333388045
, x^8-x^7+158*x^6+662*x^5+9271*x^4+50464*x^3+612320*x^2+3132625*x+7928125
, x^8+924*x^6+213444*x^4+16435188*x^2+316377369
, x^8+345*x^6+28980*x^4+595125*x^2+2975625
, x^8+220*x^6+16940*x^4+544500*x^2+6125625
, x^8+440*x^6+9020*x^4+48400*x^2+12100
, x^8+948*x^6+224676*x^4+17749404*x^2+350550729
, x^8+442*x^6+24752*x^4+390728*x^2+781456
, x^8+380*x^6+43700*x^4+1624500*x^2+18275625
, x^8+357*x^6+38556*x^4+1147041*x^2+127449
, x^8-x^7+165*x^6-1109*x^5+15394*x^4-75685*x^3+892845*x^2-3255708*x+13921981
, x^8+228*x^6+10260*x^4+142956*x^2+549081
, x^8+228*x^6+15732*x^4+350892*x^2+549081
, x^8+996*x^6+248004*x^4+20584332*x^2+427124889
, x^8+462*x^6+55440*x^4+1280664*x^2+853776
, x^8+462*x^6+69300*x^4+3415104*x^2+13660416
, x^8+420*x^6+44730*x^4+1323000*x^2+9922500
, x^8+420*x^6+52290*x^4+2381400*x^2+32148900
, x^8+292*x^6+26426*x^4+767376*x^2+6906384
, x^8+1020*x^6+260100*x^4+22108500*x^2+469805625
, x^8+660*x^6+98010*x^4+2395800*x^2+13176900
, x^8+660*x^6+141570*x^4+11979000*x^2+329422500
, x^8+236*x^6+15812*x^4+348100*x^2+2175625
, x^8+1068*x^6+285156*x^4+25378884*x^2+564680169
, x^8+2*x^7+472*x^6+467*x^5+74365*x^4-37300*x^3+3849028*x^2-9401584*x+6676048
, x^8+1092*x^6+298116*x^4+27128556*x^2+617174649
, x^8+572*x^6+52052*x^4+1063348*x^2+3455881
, x^8+420*x^6+31500*x^4+661500*x^2+275625
, x^8+420*x^6+56700*x^4+2425500*x^2+275625
, x^8-x^7+751*x^6+779*x^5+177961*x^4+361910*x^3+16868020*x^2+32639720*x+555547120
, x^8+1140*x^6+324900*x^4+30865500*x^2+733055625
, x^8+6*x^7+513*x^6+3012*x^5+34846*x^4+122370*x^3+587056*x^2+1365708*x+1746397
, x^8+5*x^7+179*x^6+1115*x^5+5626*x^4+114775*x^3+445769*x^2-1369190*x+24430111
, x^8+1164*x^6+338724*x^4+32856228*x^2+796763529
, x^8-x^7+541*x^6-1706*x^5+101051*x^4-374730*x^3+8251740*x^2-21706380*x+267481845
, x^8+5*x^7+686*x^6+2015*x^5+139751*x^4+78785*x^3+10808176*x^2-10176645*x+327028501
, x^8-x^7+806*x^6-811*x^5+223801*x^4-257345*x^3+25632350*x^2-25022255*x+1072486405
, x^8+1212*x^6+367236*x^4+37090836*x^2+936543609
, x^8+x^7+422*x^6+2224*x^5+50071*x^4+396680*x^3+2373890*x^2+6086975*x+12352825
, x^8+5*x^7+349*x^6+950*x^5+30771*x^4+219820*x^3+978124*x^2+2908870*x+9188761
, x^8+780*x^6+197730*x^4+19773000*x^2+642622500
, x^8+780*x^6+136890*x^4+3954600*x^2+25704900
, x^8+1236*x^6+381924*x^4+39338172*x^2+1012957929
, x^8+748*x^6+119306*x^4+6154544*x^2+67699984
, x^8+660*x^6+69300*x^4+1633500*x^2+6125625
, x^8+268*x^6+12596*x^4+161604*x^2+363609
, x^8+1284*x^6+412164*x^4+44101548*x^2+1179716409
, x^8+492*x^6+65682*x^4+2904768*x^2+34857216
, x^8-x^7+586*x^6-4217*x^5+57841*x^4-321635*x^3+1732636*x^2-5805307*x+10348627
, x^8+1308*x^6+427716*x^4+46621044*x^2+1270423449
, x^8-x^7+426*x^6+3274*x^5+51307*x^4+340622*x^3+1958516*x^2+7518360*x+20108624
, x^8+348*x^6+33930*x^4+1271592*x^2+16016004
, x^8+348*x^6+27666*x^4+544968*x^2+756900
, x^8+532*x^6+85652*x^4+4457628*x^2+70207641
, x^8+1356*x^6+459684*x^4+51944292*x^2+1467426249
, x^8+356*x^6+17978*x^4+126736*x^2+126736
, x^8+1380*x^6+476100*x^4+54751500*x^2+1574105625
, x^8+364*x^6+36218*x^4+861224*x^2+5597956
, x^8+364*x^6+12194*x^4+66248*x^2+33124
, x^8+1428*x^6+509796*x^4+60665724*x^2+1804805289
, x^8+748*x^6+89012*x^4+2377892*x^2+10106041
, x^8+420*x^6+16380*x^4+132300*x^2+99225
, x^8+420*x^6+46620*x^4+1190700*x^2+8037225
, x^8-7*x^7+982*x^6-6790*x^5+310546*x^4-1783705*x^3+38541388*x^2-141174586*x+1536706651
, x^8+3*x^7+824*x^6+2487*x^5+205981*x^4+695955*x^3+20176370*x^2+57484515*x+716858995
, x^8-2*x^7+584*x^6-581*x^5+81160*x^4-80356*x^3+33428*x^2+80939*x+340171
, x^8+372*x^6+41850*x^4+1868184*x^2+29095236
, x^8+372*x^6+30690*x^4+484344*x^2+34596
, x^8+884*x^6+166634*x^4+10158928*x^2+132066064
, x^8+870*x^6+229680*x^4+22707000*x^2+681210000
, x^8+1524*x^6+580644*x^4+73741788*x^2+2341301769
, x^8+483*x^6+65205*x^4+1866312*x^2+3732624
, x^8+610*x^6+89060*x^4+2976800*x^2+23814400
, x^8+660*x^6+133650*x^4+8712000*x^2+174240000
, x^8+660*x^6+74250*x^4+2178000*x^2+10890000
, x^8+388*x^6+39770*x^4+1354896*x^2+12194064
, x^8+1572*x^6+617796*x^4+80931276*x^2+2650499289
, x^8+x^7+218*x^6+280*x^5+13801*x^4-182410*x^3+425252*x^2-261928*x+28663696
, x^8-7*x^7+1087*x^6-7525*x^5+379636*x^4-2189635*x^3+51958393*x^2-191881921*x+2280754291
, x^8+1596*x^6+636804*x^4+84694932*x^2+2816106489
, x^8+836*x^6+111188*x^4+3319756*x^2+15768841
, x^8+1020*x^6+338130*x^4+44217000*x^2+1879222500
, x^8+1020*x^6+234090*x^4+8843400*x^2+75168900
, x^8-5*x^7+581*x^6-2960*x^5+93841*x^4-8140*x^3+3479126*x^2+3877820*x+38373511
, x^8+505*x^6+58580*x^4+1275125*x^2+6375625
, x^8+1644*x^6+675684*x^4+92568708*x^2+3170478249
, x^8+x^7+743*x^6-764*x^5+141901*x^4-368770*x^3+5106866*x^2-23027698*x+34222717
, x^8+1668*x^6+695556*x^4+96682284*x^2+3359709369
, x^8-x^7+1121*x^6-1126*x^5+432331*x^4-495800*x^3+68425730*x^2-67257770*x+3888616645
, x^8+1155*x^6+419265*x^4+58697100*x^2+2582672400
, x^8-x^7+240*x^6+352*x^5+36925*x^4+43340*x^3+2201984*x^2-472863*x+78659849
, x^8-x^7+293*x^6-916*x^5+32107*x^4-115682*x^3+409652*x^2+516250*x+153679
, x^8+1716*x^6+736164*x^4+105271452*x^2+3763454409
, x^8+1020*x^6+221850*x^4+15606000*x^2+234090000
, x^8+924*x^6+289674*x^4+32870376*x^2+645668100
, x^8+924*x^6+228690*x^4+14087304*x^2+25826724
, x^8+1740*x^6+756900*x^4+109750500*x^2+3978455625
, x^8+332*x^6+14276*x^4+27556*x^2+6889
, x^8+924*x^6+135828*x^4+4482324*x^2+23532201
, x^8-7*x^7+828*x^6+887*x^5+85361*x^4+223465*x^3+2695588*x^2+7809273*x+17696779
, x^8+x^7+228*x^6-880*x^5+16801*x^4-185250*x^3+2793492*x^2-17403633*x+64964511
, x^8+1788*x^6+799236*x^4+119086164*x^2+4435959609
, x^8-3*x^7+253*x^6-1113*x^5+36090*x^4-106116*x^3+68200*x^2+6050208*x+11723776
, x^8+1140*x^6+292410*x^4+12346200*x^2+117288900
, x^8+1140*x^6+422370*x^4+61731000*x^2+2932222500
, x^8+1812*x^6+820836*x^4+123946236*x^2+4678970409
, x^8+x^7+1226*x^6+1231*x^5+516961*x^4+592505*x^3+89358110*x^2+87964295*x+5524764445
, x^8+690*x^6+115920*x^4+4761000*x^2+47610000
, x^8+690*x^6+161460*x^4+15235200*x^2+487526400
, x^8+1860*x^6+864900*x^4+134059500*x^2+5194805625
, x^8+1884*x^6+887364*x^4+139316148*x^2+5468158809
, x^8+3*x^7+592*x^6-621*x^5+98469*x^4-337065*x^3+3857680*x^2-5633925*x+17655775
, x^8+561*x^6+94248*x^4+5035536*x^2+80568576
, x^8+7*x^7+320*x^6+319*x^5+24007*x^4-170038*x^3+638324*x^2-8544544*x+63698176
, x^8+1932*x^6+933156*x^4+150238116*x^2+6047084169
, x^8+1012*x^6+162932*x^4+5888828*x^2+33860761
, x^8+714*x^6+132804*x^4+4078368*x^2+32626944
, x^8+714*x^6+154224*x^4+9176328*x^2+2039184
, x^8-5*x^7+1121*x^6-3320*x^5+376391*x^4-226250*x^3+47706616*x^2+46093290*x+2149115611
, x^8+516*x^6+54180*x^4+1797228*x^2+12131289
, x^8+1956*x^6+956484*x^4+155906892*x^2+6353205849
, x^8-x^7+470*x^6-503*x^5+77743*x^4+68991*x^3+2378064*x^2+2372409*x+48036339
, x^8+452*x^6+36386*x^4+817216*x^2+3268864
, x^8+2004*x^6+1004004*x^4+167668668*x^2+7000166889
, x^8+364*x^6+41132*x^4+1755572*x^2+25050025
, x^8+364*x^6+36764*x^4+960596*x^2+5175625
, x^8-x^7+951*x^6-2936*x^5+306871*x^4-1132410*x^3+41635170*x^2-116011710*x+2103662745
, x^8+460*x^6+73370*x^4+4761000*x^2+107122500
, x^8+460*x^6+43010*x^4+105800*x^2+52900
, x^8+1365*x^6+638820*x^4+121109625*x^2+7872125625
];
