+1*x0+2*x1+2*x2+2*x3+2*x4+2*x5+2*x6+2*x7+32001*x8+32002
+1*x3*x4+1*x2*x5+1*x1*x6+32002*x1*x7+32002*x2*x7+32002*x3*x7+32002*x4*x7+32002*x5*x7+32002*x6*x7+32002*x7^2+1*x1*x8+1*x7*x8+1*x7
+1*x1*x4+2*x2*x4+30670*x4^2+21338*x1*x5+10668*x2*x5+8001*x3*x5+16003*x4*x5+4001*x5^2+3*x1*x6+29339*x2*x6+26671*x3*x6+8004*x4*x6+16005*x5*x6+30672*x6^2+13336*x1*x7+10668*x2*x7+24002*x3*x7+10668*x4*x7+24003*x5*x7+21338*x6*x7+9334*x7^2+24004*x2*x8+10669*x3*x8+2667*x4*x8+10667*x5*x8+24000*x6*x8+16002*x7*x8+4000*x8^2+25336*x1+10668*x2+30670*x3+5334*x4+20002*x5+21335*x6+22669*x7+4000*x8+12001
+1*x3^2+2*x2*x4+2*x1*x5+4*x1*x6+4*x2*x6+4*x3*x6+4*x4*x6+4*x5*x6+4*x6^2+2*x1*x7+4*x6*x7+2*x2*x8+31999*x6*x8+32002*x6
+1*x2*x3+32001*x2*x4+1333*x4^2+10667*x1*x5+21337*x2*x5+24004*x3*x5+16002*x4*x5+28004*x5^2+32001*x1*x6+2664*x2*x6+5332*x3*x6+23999*x4*x6+16000*x5*x6+1331*x6^2+18667*x1*x7+21336*x2*x7+8001*x3*x7+21335*x4*x7+8002*x5*x7+10665*x6*x7+22669*x7^2+7999*x2*x8+21335*x3*x8+29336*x4*x8+21334*x5*x8+8003*x6*x8+16001*x7*x8+28003*x8^2+6667*x1+21335*x2+1333*x3+26669*x4+28002*x5+10668*x6+9334*x7+28003*x8+20002
+1*x1*x3+32000*x2*x4+28670*x4^2+21331*x1*x5+10665*x2*x5+4000*x3*x5+12000*x4*x5+1999*x5^2+31995*x1*x6+25330*x2*x6+22665*x3*x6+3995*x4*x6+11994*x5*x6+28664*x6^2+29335*x1*x7+26670*x2*x7+8004*x3*x7+26672*x4*x7+8001*x5*x7+5330*x6*x7+27338*x7^2+20000*x1*x8+11998*x2*x8+30667*x3*x8+22668*x4*x8+30671*x5*x8+12006*x6*x8+15999*x7*x8+26003*x8^2+1333*x1+18668*x2+22668*x3+13334*x4+12001*x5+29337*x6+4665*x7+26003*x8+30003
+1*x2^2+2*x2*x4+12002*x4^2+24002*x3*x5+8001*x4*x5+12001*x5^2+24004*x2*x6+8001*x3*x6+24004*x4*x6+8001*x5*x6+12002*x6^2+16002*x1*x7+1*x2*x7+16002*x3*x7+1*x4*x7+16002*x5*x7+1*x6*x7+4001*x7^2+24002*x1*x8+8000*x2*x8+24002*x3*x8+8000*x4*x8+24002*x5*x8+8000*x6*x8+32002*x7*x8+28003*x8^2+24002*x1+16001*x2+24002*x3+16001*x4+24002*x5+16001*x6+28002*x7+28003*x8+20002
+1*x1*x2+4*x2*x4+5333*x4^2+10671*x1*x5+21336*x2*x5+32002*x3*x5+24002*x4*x5+32002*x5^2+7*x1*x6+10674*x2*x6+13339*x3*x6+6*x4*x6+24008*x5*x6+5339*x6^2+18670*x1*x7+21334*x2*x7+7998*x3*x7+21333*x4*x7+7999*x5*x7+10672*x6*x7+18666*x7^2+24004*x1*x8+4*x2*x8+13337*x3*x8+21337*x4*x8+13336*x5*x8+31999*x6*x8+16005*x7*x8+16000*x8^2+22670*x1+5335*x2+1335*x3+10669*x4+28004*x5+26669*x6+13337*x7+16000*x8+16001
+1*x1^2+31999*x2*x4+28003*x4^2+32001*x1*x5+24003*x3*x5+8001*x4*x5+28004*x5^2+31999*x1*x6+23997*x2*x6+7997*x3*x6+23997*x4*x6+7997*x5*x6+27999*x6^2+16001*x1*x7+1*x2*x7+16003*x3*x7+1*x4*x7+16003*x5*x7+32000*x6*x7+20004*x7^2+24000*x1*x8+7997*x2*x8+24000*x3*x8+7999*x4*x8+24000*x5*x8+8003*x6*x8+32000*x7*x8+12003*x8^2+7999*x1+16000*x2+7999*x3+16000*x4+7999*x5+16001*x6+11999*x7+12003*x8+4001
+1*x4^2*x7+2*x3*x5*x7+14552*x1*x6*x7+14554*x2*x6*x7+14552*x3*x6*x7+14552*x4*x6*x7+14552*x5*x6*x7+14552*x6^2*x7+2*x1*x7^2+14552*x6*x7^2+5821*x4*x5*x8+5821*x3*x6*x8+26182*x1*x7*x8+26182*x3*x7*x8+26182*x4*x7*x8+26182*x5*x7*x8+11630*x6*x7*x8+26182*x7^2*x8+5821*x1*x8^2+5821*x7*x8^2+2909*x2*x4+30791*x4^2+25214*x1*x5+15516*x2*x5+13092*x3*x5+18911*x4*x5+6546*x5^2+8727*x1*x6+6303*x2*x6+2424*x3*x6+16001*x4*x6+24729*x5*x6+4606*x6^2+28124*x1*x7+24245*x2*x7+2910*x3*x7+21336*x4*x7+5819*x5*x7+29576*x6*x7+18669*x7^2+16001*x1*x8+7273*x2*x8+25699*x3*x8+16971*x4*x8+22790*x5*x8+1455*x6*x8+7275*x7*x8+12365*x8^2+20123*x1+3879*x2+8243*x3+31033*x4+13092*x5+13577*x6+13334*x7+12365*x8+25457
+1*x2*x5*x6+2014*x3*x5*x6+27910*x4*x5*x6+13145*x5^2*x6+1966*x1*x6^2+2243*x2*x6^2+2926*x3*x6^2+19905*x4*x6^2+28686*x5*x6^2+28882*x6^3+18770*x2*x4*x7+9443*x1*x5*x7+17715*x2*x5*x7+30247*x3*x5*x7+31665*x4*x5*x7+23704*x5^2*x7+19398*x1*x6*x7+3388*x2*x6*x7+31077*x3*x6*x7+26218*x4*x6*x7+29097*x5*x6*x7+2196*x6^2*x7+9209*x1*x7^2+9206*x2*x7^2+11201*x3*x7^2+11374*x4*x7^2+863*x5*x7^2+18609*x6*x7^2+21281*x7^3+5760*x2*x4*x8+17831*x4^2*x8+28842*x1*x5*x8+20744*x2*x5*x8+8811*x3*x5*x8+26673*x4*x5*x8+27790*x5^2*x8+31074*x1*x6*x8+21770*x2*x6*x8+12825*x3*x6*x8+25955*x4*x6*x8+16625*x5*x6*x8+31322*x6^2*x8+23460*x1*x7*x8+24358*x2*x7*x8+13423*x3*x7*x8+26632*x4*x7*x8+29459*x5*x7*x8+30328*x6*x7*x8+28037*x7^2*x8+25156*x1*x8^2+13358*x2*x8^2+11381*x3*x8^2+1422*x4*x8^2+16623*x5*x8^2+190*x6*x8^2+11226*x7*x8^2+4591*x8^3+4683*x2*x4+12631*x4^2+28601*x1*x5+4654*x2*x5+4700*x3*x5+16253*x4*x5+17708*x5^2+18775*x1*x6+6694*x2*x6+28118*x3*x6+23187*x4*x6+26277*x5*x6+10720*x6^2+11710*x1*x7+22290*x2*x7+5955*x3*x7+19023*x4*x7+6885*x5*x7+27718*x6*x7+31606*x7^2+31730*x1*x8+30831*x2*x8+31058*x3*x8+17869*x4*x8+17504*x5*x8+27101*x6*x8+5818*x7*x8+16632*x8^2+1249*x1+10694*x2+13034*x3+2020*x4+16559*x5+24405*x6+27908*x7+24239*x8+25349
+1*x1*x5*x6+29674*x3*x5*x6+1073*x4*x5*x6+5447*x5^2*x6+4185*x1*x6^2+11200*x2*x6^2+1293*x3*x6^2+6143*x4*x6^2+21887*x5*x6^2+9109*x6^3+26382*x2*x4*x7+7238*x1*x5*x7+23975*x2*x5*x7+15766*x3*x5*x7+16669*x4*x5*x7+13154*x5^2*x7+13522*x1*x6*x7+23076*x2*x6*x7+303*x3*x6*x7+2991*x4*x6*x7+7621*x5*x6*x7+23663*x6^2*x7+19192*x1*x7^2+8019*x2*x7^2+548*x3*x7^2+2166*x4*x7^2+7735*x5*x7^2+2112*x6*x7^2+21831*x7^3+21037*x2*x4*x8+8957*x4^2*x8+23563*x1*x5*x8+31454*x2*x5*x8+15623*x3*x5*x8+16151*x4*x5*x8+2065*x5^2*x8+8392*x1*x6*x8+30005*x2*x6*x8+3427*x3*x6*x8+24835*x4*x6*x8+16756*x5*x6*x8+5144*x6^2*x8+4399*x1*x7*x8+9708*x2*x7*x8+22038*x3*x7*x8+13561*x4*x7*x8+28449*x5*x7*x8+7679*x6*x7*x8+13884*x7^2*x8+19040*x1*x8^2+5351*x2*x8^2+18005*x3*x8^2+26580*x4*x8^2+12580*x5*x8^2+10180*x6*x8^2+23756*x7*x8^2+13222*x8^3+21906*x2*x4+22563*x4^2+7651*x1*x5+22500*x2*x5+5036*x3*x5+4871*x4*x5+12309*x5^2+10443*x1*x6+107*x2*x6+22584*x3*x6+27726*x4*x6+4812*x5*x6+5587*x6^2+21043*x1*x7+16379*x2*x7+4048*x3*x7+19088*x4*x7+3957*x5*x7+31826*x6*x7+13851*x7^2+14574*x1*x8+4462*x2*x8+13789*x3*x8+30731*x4*x8+21021*x5*x8+11579*x6*x8+2692*x7*x8+21318*x8^2+17577*x1+4110*x2+21114*x3+29476*x4+16426*x5+17859*x6+22493*x7+23171*x8+24034
+1*x4^2*x6+2*x3*x5*x6+2*x2*x6^2+9606*x1*x5*x7+9606*x2*x5*x7+9606*x3*x5*x7+6408*x4*x5*x7+9606*x5^2*x7+2*x1*x6*x7+28805*x3*x6*x7+9606*x5*x6*x7+28805*x2*x7^2+9606*x5*x7^2+28804*x5^2*x8+4*x1*x6*x8+4*x2*x6*x8+4*x3*x6*x8+25609*x4*x6*x8+4*x5*x6*x8+4*x6^2*x8+28805*x1*x7*x8+25605*x3*x7*x8+22397*x5*x7*x8+4*x6*x7*x8+25605*x2*x8^2+31999*x6*x8^2+6403*x2*x4+21335*x4^2+23471*x1*x5+27737*x2*x5+6401*x3*x5+6401*x4*x5+19202*x5^2+4*x1*x6+10671*x2*x6+14937*x3*x6+25606*x4*x6+25606*x5*x6+8537*x6^2+29870*x1*x7+2133*x2*x7+6399*x3*x7+21334*x4*x7+27200*x5*x7+23471*x6*x7+17067*x7^2+19203*x1*x8+2*x2*x8+2135*x3*x8+21336*x4*x8+8534*x5*x8+32000*x6*x8+25604*x7*x8+6400*x8^2+29870*x1+534*x2+21336*x3+29870*x4+6401*x5+17068*x6+14936*x7+6400*x8+12801
+1*x2*x4*x6+20326*x3*x5*x6+13874*x4*x5*x6+1304*x5^2*x6+5661*x1*x6^2+20067*x2*x6^2+30865*x3*x6^2+5235*x4*x6^2+17488*x5*x6^2+29722*x6^3+7549*x2*x4*x7+6852*x1*x5*x7+27388*x2*x5*x7+30475*x3*x5*x7+882*x4*x5*x7+23670*x5^2*x7+1484*x1*x6*x7+21713*x2*x6*x7+12179*x3*x6*x7+28418*x4*x6*x7+10257*x5*x6*x7+26660*x6^2*x7+29489*x1*x7^2+5625*x2*x7^2+5960*x3*x7^2+892*x4*x7^2+30265*x5*x7^2+2919*x6*x7^2+31047*x7^3+1714*x2*x4*x8+22076*x4^2*x8+24709*x1*x5*x8+22089*x2*x5*x8+250*x3*x5*x8+14402*x4*x5*x8+5516*x5^2*x8+11546*x1*x6*x8+20244*x2*x6*x8+17664*x3*x6*x8+20234*x4*x6*x8+17042*x5*x6*x8+2947*x6^2*x8+7379*x1*x7*x8+13465*x2*x7*x8+29791*x3*x7*x8+30002*x4*x7*x8+18950*x5*x7*x8+7515*x6*x7*x8+11868*x7^2*x8+26788*x1*x8^2+1089*x2*x8^2+10668*x3*x8^2+4615*x4*x8^2+11437*x5*x8^2+12136*x6*x8^2+25286*x7*x8^2+17069*x8^3+17662*x2*x4+5093*x4^2+30423*x1*x5+30552*x2*x5+31390*x3*x5+22197*x4*x5+14511*x5^2+3306*x1*x6+29889*x2*x6+16023*x3*x6+23345*x4*x6+24328*x5*x6+16121*x6^2+17174*x1*x7+24011*x2*x7+8095*x3*x7+23548*x4*x7+2692*x5*x7+23108*x6*x7+18340*x7^2+15223*x1*x8+24933*x2*x8+23453*x3*x8+10908*x4*x8+6671*x5*x8+15135*x6*x8+30685*x7*x8+7748*x8^2+18914*x1+31082*x2+14143*x3+22521*x4+10404*x5+20057*x6+13760*x7+17704*x8+28896
+1*x5^3+832*x3*x5*x6+14563*x4*x5*x6+20497*x5^2*x6+30701*x1*x6^2+28500*x2*x6^2+21296*x3*x6^2+3274*x4*x6^2+7864*x5*x6^2+24390*x6^3+28924*x2*x4*x7+24714*x1*x5*x7+12746*x2*x5*x7+11981*x3*x5*x7+28372*x4*x5*x7+12794*x5^2*x7+9896*x1*x6*x7+12623*x2*x6*x7+30883*x3*x6*x7+10939*x4*x6*x7+19653*x5*x6*x7+10561*x6^2*x7+1662*x1*x7^2+15331*x2*x7^2+24139*x3*x7^2+6493*x4*x7^2+10487*x5*x7^2+4218*x6*x7^2+29655*x7^3+24935*x2*x4*x8+11166*x4^2*x8+1170*x1*x5*x8+23134*x2*x5*x8+23281*x3*x5*x8+10445*x4*x5*x8+20241*x5^2*x8+13030*x1*x6*x8+4675*x2*x6*x8+30401*x3*x6*x8+19917*x4*x6*x8+20850*x5*x6*x8+24357*x6^2*x8+4632*x1*x7*x8+14222*x2*x7*x8+24332*x3*x7*x8+21814*x4*x7*x8+20389*x5*x7*x8+19581*x6*x7*x8+1695*x7^2*x8+6090*x1*x8^2+27642*x2*x8^2+30999*x3*x8^2+1953*x4*x8^2+23472*x5*x8^2+13347*x6*x8^2+749*x7*x8^2+11908*x8^3+25432*x2*x4+4980*x4^2+4687*x1*x5+24936*x2*x5+1367*x3*x5+25574*x4*x5+23882*x5^2+17238*x1*x6+31979*x2*x6+8022*x3*x6+29467*x4*x6+9340*x5*x6+11775*x6^2+4524*x1*x7+9048*x2*x7+29547*x3*x7+1904*x4*x7+23469*x5*x7+6362*x6*x7+12030*x7^2+8033*x1*x8+28964*x2*x8+31818*x3*x8+2051*x4*x8+22989*x5*x8+26684*x6*x8+21573*x7*x8+24730*x8^2+22766*x1+7245*x2+25001*x3+4171*x4+24009*x5+4693*x6+16134*x7+27459*x8+4274
+1*x4*x5^2+24255*x3*x5*x6+20480*x4*x5*x6+29177*x5^2*x6+2414*x1*x6^2+4787*x2*x6^2+31912*x3*x6^2+6187*x4*x6^2+23784*x5*x6^2+20000*x6^3+6169*x2*x4*x7+17238*x1*x5*x7+4591*x2*x5*x7+11555*x3*x5*x7+14532*x4*x5*x7+21695*x5^2*x7+29056*x1*x6*x7+25376*x2*x6*x7+5278*x3*x6*x7+1591*x4*x6*x7+12255*x5*x6*x7+3325*x6^2*x7+7736*x1*x7^2+13560*x2*x7^2+28212*x3*x7^2+10488*x4*x7^2+23116*x5*x7^2+29987*x6*x7^2+6092*x7^3+23736*x2*x4*x8+30090*x4^2*x8+28939*x1*x5*x8+4165*x2*x5*x8+6395*x3*x5*x8+4624*x4*x5*x8+5401*x5^2*x8+23465*x1*x6*x8+550*x2*x6*x8+17717*x3*x6*x8+11425*x4*x6*x8+20858*x5*x6*x8+31989*x6^2*x8+26067*x1*x7*x8+1035*x2*x7*x8+26521*x3*x7*x8+30205*x4*x7*x8+1456*x5*x7*x8+29174*x6*x7*x8+18901*x7^2*x8+17061*x1*x8^2+18967*x2*x8^2+9313*x3*x8^2+10707*x4*x8^2+9544*x5*x8^2+25574*x6*x8^2+16209*x7*x8^2+31588*x8^3+10890*x2*x4+4672*x4^2+22117*x1*x5+17098*x2*x5+21722*x3*x5+2820*x4*x5+26154*x5^2+14709*x1*x6+9080*x2*x6+24929*x3*x6+4025*x4*x6+29513*x5*x6+1656*x6^2+20253*x1*x7+23250*x2*x7+12343*x3*x7+17643*x4*x7+23625*x5*x7+16264*x6*x7+1438*x7^2+19517*x1*x8+15880*x2*x8+8033*x3*x8+2654*x4*x8+7223*x5*x8+15480*x6*x8+18874*x7*x8+13578*x8^2+19305*x1+1561*x2+16005*x3+4023*x4+28976*x5+22576*x6+15768*x7+3187*x8+15332
+1*x3*x5^2+9491*x3*x5*x6+22461*x4*x5*x6+10682*x5^2*x6+16392*x1*x6^2+21524*x2*x6^2+10508*x3*x6^2+26876*x4*x6^2+20935*x5*x6^2+2664*x6^3+20744*x2*x4*x7+9775*x1*x5*x7+20012*x2*x5*x7+25264*x3*x5*x7+30197*x4*x5*x7+29883*x5^2*x7+11180*x1*x6*x7+14276*x2*x6*x7+166*x3*x6*x7+13164*x4*x6*x7+19137*x5*x6*x7+21525*x6^2*x7+17852*x1*x7^2+20989*x2*x7^2+13124*x3*x7^2+20568*x4*x7^2+27115*x5*x7^2+9216*x6*x7^2+18663*x7^3+14580*x2*x4*x8+28069*x4^2*x8+10054*x1*x5*x8+24168*x2*x5*x8+23307*x3*x5*x8+11719*x4*x5*x8+11890*x5^2*x8+12278*x1*x6*x8+9573*x2*x6*x8+2179*x3*x6*x8+23049*x4*x6*x8+6887*x5*x6*x8+23101*x6^2*x8+19245*x1*x7*x8+7722*x2*x7*x8+6619*x3*x7*x8+25337*x4*x7*x8+9406*x5*x7*x8+18420*x6*x7*x8+24386*x7^2*x8+19106*x1*x8^2+17888*x2*x8^2+7142*x3*x8^2+5150*x4*x8^2+16691*x5*x8^2+27231*x6*x8^2+7914*x7*x8^2+21034*x8^3+29551*x2*x4+7581*x4^2+23423*x1*x5+14973*x2*x5+31020*x3*x5+17878*x4*x5+13044*x5^2+29886*x1*x6+11495*x2*x6+15326*x3*x6+2272*x4*x6+15900*x5*x6+23609*x6^2+22238*x1*x7+2844*x2*x7+27744*x3*x7+13741*x4*x7+22979*x5*x7+457*x6*x7+4590*x7^2+2839*x1*x8+12893*x2*x8+10391*x3*x8+30354*x4*x8+3714*x5*x8+2576*x6*x8+7768*x7*x8+17552*x8^2+8397*x1+22904*x2+11364*x3+8561*x4+16964*x5+30646*x6+28745*x7+14197*x8+9507
+1*x2*x5^2+4821*x3*x5*x6+30851*x4*x5*x6+7185*x5^2*x6+5886*x1*x6^2+3952*x2*x6^2+27361*x3*x6^2+4395*x4*x6^2+6855*x5*x6^2+15442*x6^3+6974*x2*x4*x7+6140*x1*x5*x7+6334*x2*x5*x7+26431*x3*x5*x7+16404*x4*x5*x7+667*x5^2*x7+61*x1*x6*x7+6945*x2*x6*x7+267*x3*x6*x7+22381*x4*x6*x7+24099*x5*x6*x7+122*x6^2*x7+30682*x1*x7^2+10829*x2*x7^2+13621*x3*x7^2+5670*x4*x7^2+20209*x5*x7^2+16868*x6*x7^2+14142*x7^3+17289*x2*x4*x8+23204*x4^2*x8+18518*x1*x5*x8+2450*x2*x5*x8+26361*x3*x5*x8+20850*x4*x5*x8+24849*x5^2*x8+14499*x1*x6*x8+372*x2*x6*x8+28473*x3*x6*x8+17505*x4*x6*x8+16253*x5*x6*x8+29723*x6^2*x8+23785*x1*x7*x8+6470*x2*x7*x8+19960*x3*x7*x8+20927*x4*x7*x8+26935*x5*x7*x8+10167*x6*x7*x8+30733*x7^2*x8+8614*x1*x8^2+25516*x2*x8^2+7559*x3*x8^2+12846*x4*x8^2+12457*x5*x8^2+1990*x6*x8^2+29737*x7*x8^2+15726*x8^3+16425*x2*x4+18760*x4^2+16660*x1*x5+8424*x2*x5+26395*x3*x5+19873*x4*x5+18763*x5^2+29777*x1*x6+18277*x2*x6+7144*x3*x6+21027*x4*x6+18010*x5*x6+6832*x6^2+11277*x1*x7+30140*x2*x7+22883*x3*x7+16470*x4*x7+22059*x5*x7+10546*x6*x7+11111*x7^2+15071*x1*x8+23837*x2*x8+9448*x3*x8+4623*x4*x8+28440*x5*x8+2160*x6*x8+10166*x7*x8+31941*x8^2+23916*x1+31210*x2+6299*x3+24540*x4+21983*x5+10419*x6+20836*x7+21457*x8+5405
+1*x1*x5^2+26321*x3*x5*x6+15546*x4*x5*x6+4447*x5^2*x6+16821*x1*x6^2+2160*x2*x6^2+17405*x3*x6^2+27148*x4*x6^2+7694*x5*x6^2+14904*x6^3+2272*x2*x4*x7+12637*x1*x5*x7+26711*x2*x5*x7+31041*x3*x5*x7+12918*x4*x5*x7+4844*x5^2*x7+13908*x1*x6*x7+11305*x2*x6*x7+1634*x3*x6*x7+24346*x4*x6*x7+3447*x5*x6*x7+12411*x6^2*x7+4286*x1*x7^2+15717*x2*x7^2+5422*x3*x7^2+10045*x4*x7^2+8348*x5*x7^2+12277*x6*x7^2+7609*x7^3+18659*x2*x4*x8+21661*x4^2*x8+22859*x1*x5*x8+18857*x2*x5*x8+20294*x3*x5*x8+27914*x4*x5*x8+13866*x5^2*x8+7128*x1*x6*x8+3260*x2*x6*x8+30463*x3*x6*x8+2256*x4*x6*x8+13775*x5*x6*x8+23940*x6^2*x8+28735*x1*x7*x8+691*x2*x7*x8+24692*x3*x7*x8+4358*x4*x7*x8+13862*x5*x7*x8+22335*x6*x7*x8+24008*x7^2*x8+15519*x1*x8^2+28015*x2*x8^2+22250*x3*x8^2+27653*x4*x8^2+9416*x5*x8^2+22580*x6*x8^2+27535*x7*x8^2+1393*x8^3+28322*x2*x4+1280*x4^2+21776*x1*x5+7292*x2*x5+23550*x3*x5+12010*x4*x5+16125*x5^2+22379*x1*x6+14615*x2*x6+31871*x3*x6+15809*x4*x6+20915*x5*x6+31573*x6^2+26368*x1*x7+22368*x2*x7+13170*x3*x7+9534*x4*x7+24275*x5*x7+23595*x6*x7+29401*x7^2+19463*x1*x8+22786*x2*x8+4673*x3*x8+25092*x4*x8+14438*x5*x8+31167*x6*x8+6505*x7*x8+17774*x8^2+9055*x1+25889*x2+15874*x3+7973*x4+16303*x5+5865*x6+17674*x7+27513*x8+16128
+1*x4^2*x5+8993*x3*x5*x6+5937*x4*x5*x6+16352*x5^2*x6+27290*x1*x6^2+16472*x2*x6^2+15805*x3*x6^2+2447*x4*x6^2+28770*x5*x6^2+914*x6^3+16976*x2*x4*x7+14891*x1*x5*x7+31216*x2*x5*x7+27651*x3*x5*x7+20287*x4*x5*x7+11502*x5^2*x7+6089*x1*x6*x7+10584*x2*x6*x7+31439*x3*x6*x7+1827*x4*x6*x7+18784*x5*x6*x7+26478*x6^2*x7+25878*x1*x7^2+14287*x2*x7^2+12698*x3*x7^2+10798*x4*x7^2+16052*x5*x7^2+939*x6*x7^2+1459*x7^3+23326*x2*x4*x8+4209*x4^2*x8+18221*x1*x5*x8+6189*x2*x5*x8+31777*x3*x5*x8+12798*x4*x5*x8+16653*x5^2*x8+19975*x1*x6*x8+1320*x2*x6*x8+27567*x3*x6*x8+30004*x4*x6*x8+16989*x5*x6*x8+19166*x6^2*x8+17025*x1*x7*x8+29176*x2*x7*x8+9011*x3*x7*x8+17168*x4*x7*x8+3382*x5*x7*x8+9697*x6*x7*x8+13588*x7^2*x8+1054*x1*x8^2+1514*x2*x8^2+26963*x3*x8^2+18859*x4*x8^2+29377*x5*x8^2+9164*x6*x8^2+31298*x7*x8^2+12756*x8^3+18325*x2*x4+18864*x4^2+22345*x1*x5+30734*x2*x5+21115*x3*x5+20533*x4*x5+775*x5^2+13715*x1*x6+1217*x2*x6+18554*x3*x6+11083*x4*x6+7347*x5*x6+25539*x6^2+11946*x1*x7+10746*x2*x7+19396*x3*x7+26033*x4*x7+28522*x5*x7+2225*x6*x7+31723*x7^2+24871*x1*x8+19529*x2*x8+24848*x3*x8+24272*x4*x8+31853*x5*x8+2049*x6*x8+19797*x7*x8+821*x8^2+12882*x1+14306*x2+12886*x3+16134*x4+9506*x5+6475*x6+25263*x7+24320*x8+17357
+1*x2*x4*x5+1654*x3*x5*x6+24592*x4*x5*x6+835*x5^2*x6+1248*x1*x6^2+7052*x2*x6^2+14723*x3*x6^2+20435*x4*x6^2+22907*x5*x6^2+27563*x6^3+2526*x2*x4*x7+24817*x1*x5*x7+6189*x2*x5*x7+19450*x3*x5*x7+19278*x4*x5*x7+22347*x5^2*x7+8838*x1*x6*x7+22766*x2*x6*x7+31101*x3*x6*x7+20687*x4*x6*x7+24176*x5*x6*x7+25333*x6^2*x7+4688*x1*x7^2+15766*x2*x7^2+8902*x3*x7^2+6257*x4*x7^2+20395*x5*x7^2+1043*x6*x7^2+27679*x7^3+8943*x2*x4*x8+22282*x4^2*x8+22682*x1*x5*x8+25503*x2*x5*x8+21194*x3*x5*x8+23418*x4*x5*x8+23325*x5^2*x8+13243*x1*x6*x8+25690*x2*x6*x8+349*x3*x6*x8+30039*x4*x6*x8+14957*x5*x6*x8+30903*x6^2*x8+3600*x1*x7*x8+3937*x2*x7*x8+15734*x3*x7*x8+25325*x4*x7*x8+10567*x5*x7*x8+31587*x6*x7*x8+13663*x7^2*x8+950*x1*x8^2+18074*x2*x8^2+8406*x3*x8^2+23217*x4*x8^2+9794*x5*x8^2+25256*x6*x8^2+5248*x7*x8^2+24804*x8^3+31759*x2*x4+13962*x4^2+28472*x1*x5+24749*x2*x5+24278*x3*x5+16545*x4*x5+8954*x5^2+7170*x1*x6+6017*x2*x6+3012*x3*x6+5704*x4*x6+4071*x5*x6+26809*x6^2+10745*x1*x7+25495*x2*x7+22221*x3*x7+8453*x4*x7+8637*x5*x7+28353*x6*x7+10260*x7^2+31581*x1*x8+22643*x2*x8+25574*x3*x8+26164*x4*x8+8266*x5*x8+20885*x6*x8+8098*x7*x8+11418*x8^2+28700*x1+4058*x2+3364*x3+20306*x4+2478*x5+27114*x6+19145*x7+26885*x8+27541
+1*x4^3+26740*x3*x5*x6+19463*x4*x5*x6+17368*x5^2*x6+27089*x1*x6^2+22805*x2*x6^2+15796*x3*x6^2+31918*x4*x6^2+30027*x5*x6^2+6164*x6^3+12971*x2*x4*x7+21461*x1*x5*x7+29612*x2*x5*x7+18673*x3*x5*x7+13369*x4*x5*x7+22535*x5^2*x7+26520*x1*x6*x7+27680*x2*x6*x7+25736*x3*x6*x7+28954*x4*x6*x7+24647*x5*x6*x7+14091*x6^2*x7+20905*x1*x7^2+30908*x2*x7^2+27415*x3*x7^2+1642*x4*x7^2+30464*x5*x7^2+15558*x6*x7^2+28964*x7^3+16847*x2*x4*x8+26049*x4^2*x8+16675*x1*x5*x8+23067*x2*x5*x8+16274*x3*x5*x8+23452*x4*x5*x8+17965*x5^2*x8+2948*x1*x6*x8+13617*x2*x6*x8+16962*x3*x6*x8+21069*x4*x6*x8+22386*x5*x6*x8+5193*x6^2*x8+31636*x1*x7*x8+30817*x2*x7*x8+5373*x3*x7*x8+2513*x4*x7*x8+17336*x5*x7*x8+3984*x6*x7*x8+6048*x7^2*x8+2451*x1*x8^2+10502*x2*x8^2+1001*x3*x8^2+29524*x4*x8^2+25871*x5*x8^2+27347*x6*x8^2+19897*x7*x8^2+12744*x8^3+4717*x2*x4+1472*x4^2+26251*x1*x5+879*x2*x5+29466*x3*x5+21434*x4*x5+31496*x5^2+2624*x1*x6+3390*x2*x6+11982*x3*x6+3465*x4*x6+28429*x5*x6+19269*x6^2+346*x1*x7+17100*x2*x7+16852*x3*x7+10844*x4*x7+9610*x5*x7+31714*x6*x7+6340*x7^2+3368*x1*x8+17254*x2*x8+2286*x3*x8+14403*x4*x8+15637*x5*x8+3524*x6*x8+23675*x7*x8+21323*x8^2+22231*x1+953*x2+6370*x3+18491*x4+20161*x5+25266*x6+23849*x7+12827*x8+24195
+1*x2*x4^2+7235*x3*x5*x6+28324*x4*x5*x6+24278*x5^2*x6+19262*x1*x6^2+25522*x2*x6^2+20934*x3*x6^2+8594*x4*x6^2+21387*x5*x6^2+9724*x6^3+30485*x2*x4*x7+16855*x1*x5*x7+31132*x2*x5*x7+26227*x3*x5*x7+18764*x4*x5*x7+2869*x5^2*x7+21587*x1*x6*x7+25094*x2*x6*x7+9791*x3*x6*x7+27006*x4*x6*x7+10905*x5*x6*x7+6891*x6^2*x7+22788*x1*x7^2+10540*x2*x7^2+9398*x3*x7^2+23950*x4*x7^2+5025*x5*x7^2+27001*x6*x7^2+25452*x7^3+19325*x2*x4*x8+24390*x4^2*x8+21310*x1*x5*x8+20791*x2*x5*x8+17398*x3*x5*x8+26527*x4*x5*x8+24911*x5^2*x8+9546*x1*x6*x8+28811*x2*x6*x8+26854*x3*x6*x8+18109*x4*x6*x8+31742*x5*x6*x8+4946*x6^2*x8+26225*x1*x7*x8+12352*x2*x7*x8+10504*x3*x7*x8+22682*x4*x7*x8+28917*x5*x7*x8+18047*x6*x7*x8+14019*x7^2*x8+17055*x1*x8^2+15539*x2*x8^2+2967*x3*x8^2+10214*x4*x8^2+10845*x5*x8^2+9044*x6*x8^2+15805*x7*x8^2+28306*x8^3+3025*x2*x4+31484*x4^2+3683*x1*x5+4670*x2*x5+6817*x3*x5+23164*x4*x5+2655*x5^2+8501*x1*x6+12120*x2*x6+31471*x3*x6+13262*x4*x6+28536*x5*x6+24493*x6^2+28701*x1*x7+28698*x2*x7+19988*x3*x7+6615*x4*x7+4885*x5*x7+26006*x6*x7+12175*x7^2+15205*x1*x8+7526*x2*x8+16557*x3*x8+22570*x4*x8+18618*x5*x8+16081*x6*x8+13130*x7*x8+17311*x8^2+15823*x1+23232*x2+19076*x3+30543*x4+21186*x5+1696*x6+1333*x7+9108*x8+28338
+1*x4*x5*x7^2+19168*x5^2*x7^2+21298*x1*x6*x7^2+29547*x2*x6*x7^2+22742*x3*x6*x7^2+31946*x4*x6*x7^2+10261*x5*x6*x7^2+9019*x6^2*x7^2+19919*x1*x7^3+21505*x2*x7^3+23192*x3*x7^3+9985*x4*x7^3+16003*x5*x7^3+15460*x6*x7^3+1488*x7^4+16924*x3*x5*x6*x8+13780*x4*x5*x6*x8+8384*x5^2*x6*x8+3975*x1*x6^2*x8+15045*x2*x6^2*x8+12510*x3*x6^2*x8+16425*x4*x6^2*x8+1647*x5*x6^2*x8+6755*x6^3*x8+27858*x2*x4*x7*x8+13629*x1*x5*x7*x8+3650*x2*x5*x7*x8+5109*x3*x5*x7*x8+30024*x4*x5*x7*x8+8660*x5^2*x7*x8+14515*x1*x6*x7*x8+1920*x2*x6*x7*x8+10567*x3*x6*x7*x8+20523*x4*x6*x7*x8+25954*x5*x6*x7*x8+3744*x6^2*x7*x8+5937*x1*x7^2*x8+12753*x2*x7^2*x8+20044*x3*x7^2*x8+2336*x4*x7^2*x8+25173*x5*x7^2*x8+26833*x6*x7^2*x8+27742*x7^3*x8+31584*x2*x4*x8^2+4561*x4^2*x8^2+27782*x1*x5*x8^2+611*x2*x5*x8^2+22681*x3*x5*x8^2+16938*x4*x5*x8^2+16008*x5^2*x8^2+21185*x1*x6*x8^2+11965*x2*x6*x8^2+15414*x3*x6*x8^2+22534*x4*x6*x8^2+15690*x5*x6*x8^2+1255*x6^2*x8^2+29545*x1*x7*x8^2+15568*x2*x7*x8^2+31266*x3*x7*x8^2+18471*x4*x7*x8^2+26428*x5*x7*x8^2+14239*x6*x7*x8^2+27885*x7^2*x8^2+3271*x1*x8^3+14460*x2*x8^3+13390*x3*x8^3+26291*x4*x8^3+14218*x5*x8^3+10926*x6*x8^3+25150*x7*x8^3+15337*x8^4+2298*x3*x5*x6+30817*x4*x5*x6+18067*x5^2*x6+18568*x1*x6^2+1923*x2*x6^2+464*x3*x6^2+23405*x4*x6^2+12377*x5*x6^2+17401*x6^3+9165*x2*x4*x7+26974*x1*x5*x7+3301*x2*x5*x7+16662*x3*x5*x7+5312*x4*x5*x7+30348*x5^2*x7+19290*x1*x6*x7+27972*x2*x6*x7+22831*x3*x6*x7+12327*x4*x6*x7+20183*x5*x6*x7+10796*x6^2*x7+3630*x1*x7^2+23033*x2*x7^2+19609*x3*x7^2+1566*x4*x7^2+28190*x5*x7^2+1981*x6*x7^2+20120*x7^3+17050*x2*x4*x8+3412*x4^2*x8+23382*x1*x5*x8+22028*x2*x5*x8+3396*x3*x5*x8+2561*x4*x5*x8+29513*x5^2*x8+11781*x1*x6*x8+9496*x2*x6*x8+7933*x3*x6*x8+27163*x4*x6*x8+18185*x5*x6*x8+18457*x6^2*x8+30232*x1*x7*x8+18856*x2*x7*x8+18294*x3*x7*x8+14892*x4*x7*x8+6724*x5*x7*x8+17373*x6*x7*x8+31801*x7^2*x8+31352*x1*x8^2+1*x2*x8^2+20966*x3*x8^2+20389*x4*x8^2+11087*x5*x8^2+7684*x6*x8^2+20414*x7*x8^2+18144*x8^3+7969*x2*x4+26389*x4^2+11989*x1*x5+24317*x2*x5+2002*x3*x5+22569*x4*x5+707*x5^2+26486*x1*x6+21266*x2*x6+1252*x3*x6+25007*x4*x6+267*x5*x6+5406*x6^2+30297*x1*x7+13337*x2*x7+23824*x3*x7+11522*x4*x7+12229*x5*x7+20786*x6*x7+24603*x7^2+5803*x1*x8+15733*x2*x8+6126*x3*x8+27346*x4*x8+25847*x5*x8+10614*x6*x8+13982*x7*x8+16868*x8^2+22418*x1+13862*x2+21593*x3+10864*x4+22969*x5+18996*x6+27184*x7+20552*x8+31430
+1*x3*x5*x7^2+3248*x5^2*x7^2+15843*x1*x6*x7^2+24500*x2*x6*x7^2+8481*x3*x6*x7^2+25716*x4*x6*x7^2+17094*x5*x6*x7^2+2869*x6^2*x7^2+31191*x1*x7^3+14525*x2*x7^3+5783*x3*x7^3+30406*x4*x7^3+29214*x5*x7^3+13623*x6*x7^3+10013*x7^4+5532*x3*x5*x6*x8+19293*x4*x5*x6*x8+4263*x5^2*x6*x8+20350*x1*x6^2*x8+2884*x2*x6^2*x8+14658*x3*x6^2*x8+7765*x4*x6^2*x8+10376*x5*x6^2*x8+3756*x6^3*x8+4463*x2*x4*x7*x8+3437*x1*x5*x7*x8+5251*x2*x5*x7*x8+29653*x3*x5*x7*x8+18869*x4*x5*x7*x8+1050*x5^2*x7*x8+18620*x1*x6*x7*x8+10617*x2*x6*x7*x8+31900*x3*x6*x7*x8+7859*x4*x6*x7*x8+23770*x5*x6*x7*x8+6417*x6^2*x7*x8+2676*x1*x7^2*x8+7935*x2*x7^2*x8+25822*x3*x7^2*x8+11440*x4*x7^2*x8+10785*x5*x7^2*x8+30487*x6*x7^2*x8+17087*x7^3*x8+14636*x2*x4*x8^2+26019*x4^2*x8^2+23150*x1*x5*x8^2+2658*x2*x5*x8^2+28552*x3*x5*x8^2+29481*x4*x5*x8^2+5692*x5^2*x8^2+8578*x1*x6*x8^2+833*x2*x6*x8^2+29132*x3*x6*x8^2+881*x4*x6*x8^2+11771*x5*x6*x8^2+26759*x6^2*x8^2+27221*x1*x7*x8^2+4164*x2*x7*x8^2+8680*x3*x7*x8^2+1243*x4*x7*x8^2+19344*x5*x7*x8^2+9398*x6*x7*x8^2+25338*x7^2*x8^2+18222*x1*x8^3+21388*x2*x8^3+15091*x3*x8^3+24184*x4*x8^3+17293*x5*x8^3+22685*x6*x8^3+20877*x7*x8^3+5981*x8^4+3544*x3*x5*x6+29011*x4*x5*x6+12512*x5^2*x6+10422*x1*x6^2+5387*x2*x6^2+2323*x3*x6^2+28519*x4*x6^2+24790*x5*x6^2+28225*x6^3+12175*x2*x4*x7+4302*x1*x5*x7+6324*x2*x5*x7+24703*x3*x5*x7+6030*x4*x5*x7+2687*x5^2*x7+4473*x1*x6*x7+14603*x2*x6*x7+17267*x3*x6*x7+24383*x4*x6*x7+27422*x5*x6*x7+30818*x6^2*x7+9789*x1*x7^2+22769*x2*x7^2+26613*x3*x7^2+28388*x4*x7^2+3274*x5*x7^2+12854*x6*x7^2+1452*x7^3+7298*x2*x4*x8+20309*x4^2*x8+30530*x1*x5*x8+31283*x2*x5*x8+13422*x3*x5*x8+4825*x4*x5*x8+6964*x5^2*x8+4850*x1*x6*x8+11895*x2*x6*x8+21366*x3*x6*x8+2907*x4*x6*x8+20383*x5*x6*x8+17429*x6^2*x8+22456*x1*x7*x8+20969*x2*x7*x8+11863*x3*x7*x8+10062*x4*x7*x8+24056*x5*x7*x8+11847*x6*x7*x8+4731*x7^2*x8+29636*x1*x8^2+2928*x2*x8^2+3834*x3*x8^2+684*x4*x8^2+30474*x5*x8^2+24155*x6*x8^2+20430*x7*x8^2+4621*x8^3+690*x2*x4+8626*x4^2+29045*x1*x5+18231*x2*x5+17058*x3*x5+27284*x4*x5+27636*x5^2+4685*x1*x6+29602*x2*x6+16121*x3*x6+23531*x4*x6+10337*x5*x6+4796*x6^2+30106*x1*x7+11786*x2*x7+16122*x3*x7+5426*x4*x7+22141*x5*x7+2270*x6*x7+14029*x7^2+29458*x1*x8+14384*x2*x8+20327*x3*x8+1122*x4*x8+30794*x5*x8+26175*x6*x8+21329*x7*x8+29647*x8^2+25638*x1+12713*x2+6764*x3+27826*x4+27791*x5+24386*x6+20745*x7+28560*x8+13227
+1*x2*x5*x7^2+19810*x5^2*x7^2+6743*x1*x6*x7^2+17958*x2*x6*x7^2+23284*x3*x6*x7^2+9339*x4*x6*x7^2+3884*x5*x6*x7^2+14128*x6^2*x7^2+880*x1*x7^3+4053*x2*x7^3+5402*x3*x7^3+21446*x4*x7^3+21180*x5*x7^3+10084*x6*x7^3+15514*x7^4+28704*x3*x5*x6*x8+30105*x4*x5*x6*x8+362*x5^2*x6*x8+10757*x1*x6^2*x8+4834*x2*x6^2*x8+25317*x3*x6^2*x8+18721*x4*x6^2*x8+30478*x5*x6^2*x8+3167*x6^3*x8+3476*x2*x4*x7*x8+20480*x1*x5*x7*x8+12367*x2*x5*x7*x8+25843*x3*x5*x7*x8+27907*x4*x5*x7*x8+28056*x5^2*x7*x8+19719*x1*x6*x7*x8+23978*x2*x6*x7*x8+26357*x3*x6*x7*x8+28418*x4*x6*x7*x8+20526*x5*x6*x7*x8+25549*x6^2*x7*x8+13312*x1*x7^2*x8+22287*x2*x7^2*x8+18855*x3*x7^2*x8+26628*x4*x7^2*x8+9432*x5*x7^2*x8+7495*x6*x7^2*x8+2703*x7^3*x8+25942*x2*x4*x8^2+16173*x4^2*x8^2+11409*x1*x5*x8^2+23928*x2*x5*x8^2+24322*x3*x5*x8^2+23812*x4*x5*x8^2+20289*x5^2*x8^2+9999*x1*x6*x8^2+12896*x2*x6*x8^2+16174*x3*x6*x8^2+5083*x4*x6*x8^2+31624*x5*x6*x8^2+26358*x6^2*x8^2+24300*x1*x7*x8^2+15109*x2*x7*x8^2+18826*x3*x7*x8^2+23034*x4*x7*x8^2+7854*x5*x7*x8^2+23273*x6*x7*x8^2+26616*x7^2*x8^2+29331*x1*x8^3+10695*x2*x8^3+19553*x3*x8^3+16359*x4*x8^3+1958*x5*x8^3+6755*x6*x8^3+23375*x7*x8^3+14867*x8^4+28017*x3*x5*x6+19206*x4*x5*x6+1841*x5^2*x6+1356*x1*x6^2+1488*x2*x6^2+29181*x3*x6^2+5622*x4*x6^2+23665*x5*x6^2+27439*x6^3+25291*x2*x4*x7+23935*x1*x5*x7+11172*x2*x5*x7+12295*x3*x5*x7+17734*x4*x5*x7+30716*x5^2*x7+23083*x1*x6*x7+18954*x2*x6*x7+16366*x3*x6*x7+15734*x4*x6*x7+13279*x5*x6*x7+7549*x6^2*x7+24812*x1*x7^2+16577*x2*x7^2+14596*x3*x7^2+14026*x4*x7^2+22016*x5*x7^2+10776*x6*x7^2+13076*x7^3+31327*x2*x4*x8+30794*x4^2*x8+28037*x1*x5*x8+13026*x2*x5*x8+24800*x3*x5*x8+1576*x4*x5*x8+31863*x5^2*x8+15752*x1*x6*x8+20552*x2*x6*x8+9846*x3*x6*x8+24144*x4*x6*x8+2960*x5*x6*x8+28394*x6^2*x8+27925*x1*x7*x8+15813*x2*x7*x8+15090*x3*x7*x8+9192*x4*x7*x8+12329*x5*x7*x8+11497*x6*x7*x8+27972*x7^2*x8+27033*x1*x8^2+2107*x2*x8^2+22615*x3*x8^2+24639*x4*x8^2+30399*x5*x8^2+23980*x6*x8^2+21771*x7*x8^2+28514*x8^3+17598*x2*x4+30432*x4^2+20256*x1*x5+26861*x2*x5+21036*x3*x5+30807*x4*x5+23198*x5^2+15917*x1*x6+18672*x2*x6+14650*x3*x6+30645*x4*x6+6190*x5*x6+9321*x6^2+4552*x1*x7+20493*x2*x7+15987*x3*x7+30976*x4*x7+1076*x5*x7+24427*x6*x7+18660*x7^2+21267*x1*x8+24292*x2*x8+31433*x3*x8+16380*x4*x8+9526*x5*x8+21018*x6*x8+23526*x7*x8+20798*x8^2+23644*x1+31189*x2+1606*x3+13010*x4+11849*x5+28979*x6+4785*x7+17412*x8+25623
+1*x1*x5*x7^2+27691*x5^2*x7^2+13427*x1*x6*x7^2+26709*x2*x6*x7^2+14637*x3*x6*x7^2+28947*x4*x6*x7^2+5358*x5*x6*x7^2+31283*x6^2*x7^2+4995*x1*x7^3+27822*x2*x7^3+10301*x3*x7^3+27422*x4*x7^3+8572*x5*x7^3+18672*x6*x7^3+17493*x7^4+12819*x3*x5*x6*x8+23654*x4*x5*x6*x8+14476*x5^2*x6*x8+11383*x1*x6^2*x8+1304*x2*x6^2*x8+31094*x3*x6^2*x8+31262*x4*x6^2*x8+10198*x5*x6^2*x8+31229*x6^3*x8+1839*x2*x4*x7*x8+59*x1*x5*x7*x8+12000*x2*x5*x7*x8+20126*x3*x5*x7*x8+26015*x4*x5*x7*x8+9423*x5^2*x7*x8+26948*x1*x6*x7*x8+20793*x2*x6*x7*x8+30709*x3*x6*x7*x8+9568*x4*x6*x7*x8+22033*x5*x6*x7*x8+20984*x6^2*x7*x8+26536*x1*x7^2*x8+27090*x2*x7^2*x8+23745*x3*x7^2*x8+10122*x4*x7^2*x8+5361*x5*x7^2*x8+8251*x6*x7^2*x8+2299*x7^3*x8+15723*x2*x4*x8^2+4807*x4^2*x8^2+29159*x1*x5*x8^2+1446*x2*x5*x8^2+16838*x3*x5*x8^2+28107*x4*x5*x8^2+22560*x5^2*x8^2+25159*x1*x6*x8^2+9382*x2*x6*x8^2+18200*x3*x6*x8^2+2170*x4*x6*x8^2+7679*x5*x6*x8^2+8659*x6^2*x8^2+28380*x1*x7*x8^2+20454*x2*x7*x8^2+2902*x3*x7*x8^2+19522*x4*x7*x8^2+3827*x5*x7*x8^2+4877*x6*x7*x8^2+20429*x7^2*x8^2+23783*x1*x8^3+22723*x2*x8^3+20050*x3*x8^3+27203*x4*x8^3+13462*x5*x8^3+10639*x6*x8^3+6206*x7*x8^3+29136*x8^4+4978*x3*x5*x6+4503*x4*x5*x6+19738*x5^2*x6+2309*x1*x6^2+19652*x2*x6^2+4951*x3*x6^2+30972*x4*x6^2+30149*x5*x6^2+7789*x6^3+6174*x2*x4*x7+27225*x1*x5*x7+798*x2*x5*x7+363*x3*x5*x7+24575*x4*x5*x7+8497*x5^2*x7+2385*x1*x6*x7+14190*x2*x6*x7+1981*x3*x6*x7+17457*x4*x6*x7+1238*x5*x6*x7+17487*x6^2*x7+6083*x1*x7^2+26540*x2*x7^2+16131*x3*x7^2+29816*x4*x7^2+4219*x5*x7^2+24*x6*x7^2+25288*x7^3+12752*x2*x4*x8+21780*x4^2*x8+22286*x1*x5*x8+29182*x2*x5*x8+7508*x3*x5*x8+16304*x4*x5*x8+18087*x5^2*x8+24289*x1*x6*x8+3197*x2*x6*x8+16880*x3*x6*x8+11677*x4*x6*x8+23229*x5*x6*x8+30367*x6^2*x8+21964*x1*x7*x8+18921*x2*x7*x8+918*x3*x7*x8+23782*x4*x7*x8+21986*x5*x7*x8+3687*x6*x7*x8+21597*x7^2*x8+12793*x1*x8^2+29072*x2*x8^2+3431*x3*x8^2+12732*x4*x8^2+20793*x5*x8^2+28277*x6*x8^2+1016*x7*x8^2+29378*x8^3+3089*x2*x4+25292*x4^2+15729*x1*x5+22891*x2*x5+16806*x3*x5+28498*x4*x5+10247*x5^2+9263*x1*x6+10644*x2*x6+22236*x3*x6+9853*x4*x6+11410*x5*x6+23558*x6^2+13581*x1*x7+25162*x2*x7+23948*x3*x7+22305*x4*x7+8612*x5*x7+21941*x6*x7+10839*x7^2+15053*x1*x8+20642*x2*x8+27995*x3*x8+28344*x4*x8+12664*x5*x8+27459*x6*x8+13111*x7*x8+261*x8^2+13825*x1+969*x2+21590*x3+27522*x4+28766*x5+28078*x6+13373*x7+11723*x8+28772
+1*x2*x4*x7^2+20135*x5^2*x7^2+15662*x1*x6*x7^2+2002*x2*x6*x7^2+18066*x3*x6*x7^2+10448*x4*x6*x7^2+9684*x5*x6*x7^2+20779*x6^2*x7^2+20234*x1*x7^3+4872*x2*x7^3+27743*x3*x7^3+20521*x4*x7^3+10746*x5*x7^3+610*x6*x7^3+22143*x7^4+703*x3*x5*x6*x8+30466*x4*x5*x6*x8+5783*x5^2*x6*x8+4723*x1*x6^2*x8+18649*x2*x6^2*x8+12922*x3*x6^2*x8+10025*x4*x6^2*x8+24650*x5*x6^2*x8+10520*x6^3*x8+4480*x2*x4*x7*x8+25649*x1*x5*x7*x8+8831*x2*x5*x7*x8+20871*x3*x5*x7*x8+16367*x4*x5*x7*x8+6734*x5^2*x7*x8+9406*x1*x6*x7*x8+20405*x2*x6*x7*x8+13741*x3*x6*x7*x8+29756*x4*x6*x7*x8+12982*x5*x6*x7*x8+5611*x6^2*x7*x8+10996*x1*x7^2*x8+25279*x2*x7^2*x8+15576*x3*x7^2*x8+13723*x4*x7^2*x8+6826*x5*x7^2*x8+26652*x6*x7^2*x8+31736*x7^3*x8+9302*x2*x4*x8^2+13379*x4^2*x8^2+5113*x1*x5*x8^2+3625*x2*x5*x8^2+26617*x3*x5*x8^2+9915*x4*x5*x8^2+24148*x5^2*x8^2+11079*x1*x6*x8^2+21745*x2*x6*x8^2+27983*x3*x6*x8^2+28143*x4*x6*x8^2+30660*x5*x6*x8^2+17705*x6^2*x8^2+25964*x1*x7*x8^2+24465*x2*x7*x8^2+31459*x3*x7*x8^2+10408*x4*x7*x8^2+4624*x5*x7*x8^2+19134*x6*x7*x8^2+20033*x7^2*x8^2+22104*x1*x8^3+5391*x2*x8^3+2270*x3*x8^3+25432*x4*x8^3+23465*x5*x8^3+29124*x6*x8^3+5199*x7*x8^3+23076*x8^4+1762*x3*x5*x6+19272*x4*x5*x6+11715*x5^2*x6+16461*x1*x6^2+9502*x2*x6^2+8394*x3*x6^2+9607*x4*x6^2+5520*x5*x6^2+30926*x6^3+9745*x2*x4*x7+12981*x1*x5*x7+13955*x2*x5*x7+2244*x3*x5*x7+7634*x4*x5*x7+10016*x5^2*x7+29374*x1*x6*x7+9780*x2*x6*x7+15866*x3*x6*x7+6403*x4*x6*x7+14262*x5*x6*x7+5303*x6^2*x7+19786*x1*x7^2+13706*x2*x7^2+2694*x3*x7^2+13360*x4*x7^2+4540*x5*x7^2+17344*x6*x7^2+29543*x7^3+11537*x2*x4*x8+4869*x4^2*x8+1788*x1*x5*x8+15279*x2*x5*x8+10290*x3*x5*x8+2503*x4*x5*x8+21023*x5^2*x8+15593*x1*x6*x8+27322*x2*x6*x8+19870*x3*x6*x8+5623*x4*x6*x8+28825*x5*x6*x8+28858*x6^2*x8+15669*x1*x7*x8+20428*x2*x7*x8+3294*x3*x7*x8+24508*x4*x7*x8+29525*x5*x7*x8+9963*x6*x7*x8+14439*x7^2*x8+24123*x1*x8^2+19847*x2*x8^2+116*x3*x8^2+14987*x4*x8^2+19606*x5*x8^2+10054*x6*x8^2+9839*x7*x8^2+14213*x8^3+3956*x2*x4+28756*x4^2+29049*x1*x5+5821*x2*x5+24205*x3*x5+1689*x4*x5+18620*x5^2+21584*x1*x6+1259*x2*x6+12246*x3*x6+21683*x4*x6+21351*x5*x6+24012*x6^2+17440*x1*x7+21100*x2*x7+4489*x3*x7+5676*x4*x7+13377*x5*x7+30566*x6*x7+15604*x7^2+18249*x1*x8+30791*x2*x8+9221*x3*x8+6760*x4*x8+18446*x5*x8+18887*x6*x8+12019*x7*x8+22219*x8^2+15694*x1+21040*x2+28676*x3+27966*x4+3611*x5+27878*x6+28179*x7+9768*x8+29132
+1*x6^3*x7+12259*x5^2*x7^2+16084*x1*x6*x7^2+13218*x2*x6*x7^2+28657*x3*x6*x7^2+20900*x4*x6*x7^2+22904*x5*x6*x7^2+9030*x6^2*x7^2+1393*x1*x7^3+23065*x2*x7^3+30630*x3*x7^3+21421*x4*x7^3+27479*x5*x7^3+19937*x6*x7^3+23481*x7^4+13464*x3*x5*x6*x8+6982*x4*x5*x6*x8+23896*x5^2*x6*x8+6651*x1*x6^2*x8+7820*x2*x6^2*x8+26773*x3*x6^2*x8+4149*x4*x6^2*x8+25650*x5*x6^2*x8+26296*x6^3*x8+25702*x2*x4*x7*x8+6587*x1*x5*x7*x8+23521*x2*x5*x7*x8+21217*x3*x5*x7*x8+11605*x4*x5*x7*x8+14760*x5^2*x7*x8+6866*x1*x6*x7*x8+14055*x2*x6*x7*x8+16498*x3*x6*x7*x8+9766*x4*x6*x7*x8+220*x5*x6*x7*x8+18146*x6^2*x7*x8+17409*x1*x7^2*x8+4917*x2*x7^2*x8+31376*x3*x7^2*x8+15976*x4*x7^2*x8+28252*x5*x7^2*x8+1734*x6*x7^2*x8+25276*x7^3*x8+30170*x2*x4*x8^2+30100*x4^2*x8^2+22150*x1*x5*x8^2+14465*x2*x5*x8^2+14265*x3*x5*x8^2+4539*x4*x5*x8^2+27613*x5^2*x8^2+14846*x1*x6*x8^2+10357*x2*x6*x8^2+17599*x3*x6*x8^2+7808*x4*x6*x8^2+28996*x5*x6*x8^2+4613*x6^2*x8^2+8797*x1*x7*x8^2+6289*x2*x7*x8^2+12661*x3*x7*x8^2+18927*x4*x7*x8^2+29978*x5*x7*x8^2+24387*x6*x7*x8^2+27651*x7^2*x8^2+3464*x1*x8^3+3338*x2*x8^3+11527*x3*x8^3+23900*x4*x8^3+22124*x5*x8^3+25336*x6*x8^3+9856*x7*x8^3+22505*x8^4+11944*x3*x5*x6+25107*x4*x5*x6+8490*x5^2*x6+7429*x1*x6^2+22151*x2*x6^2+4852*x3*x6^2+12542*x4*x6^2+15816*x5*x6^2+14948*x6^3+29629*x2*x4*x7+31475*x1*x5*x7+9050*x2*x5*x7+27894*x3*x5*x7+30186*x4*x5*x7+23122*x5^2*x7+17818*x1*x6*x7+29445*x2*x6*x7+1274*x3*x6*x7+18728*x4*x6*x7+7962*x5*x6*x7+8463*x6^2*x7+1201*x1*x7^2+20351*x2*x7^2+17245*x3*x7^2+3388*x4*x7^2+19233*x5*x7^2+14374*x6*x7^2+1588*x7^3+25314*x2*x4*x8+31032*x4^2*x8+18572*x1*x5*x8+1180*x2*x5*x8+19088*x3*x5*x8+1721*x4*x5*x8+6232*x5^2*x8+22077*x1*x6*x8+29311*x2*x6*x8+16869*x3*x6*x8+25372*x4*x6*x8+23467*x5*x6*x8+649*x6^2*x8+10742*x1*x7*x8+13588*x2*x7*x8+24444*x3*x7*x8+19825*x4*x7*x8+25869*x5*x7*x8+22530*x6*x7*x8+8796*x7^2*x8+21396*x1*x8^2+31893*x2*x8^2+13114*x3*x8^2+2909*x4*x8^2+17515*x5*x8^2+1813*x6*x8^2+30708*x7*x8^2+190*x8^3+14803*x2*x4+61*x4^2+17621*x1*x5+30560*x2*x5+30659*x3*x5+19683*x4*x5+4190*x5^2+28692*x1*x6+8261*x2*x6+31299*x3*x6+21345*x4*x6+12215*x5*x6+23724*x6^2+31714*x1*x7+22912*x2*x7+22525*x3*x7+27713*x4*x7+27478*x5*x7+30697*x6*x7+30876*x7^2+15875*x1*x8+17039*x2*x8+24583*x3*x8+3487*x4*x8+21349*x5*x8+9351*x6*x8+18036*x7*x8+27617*x8^2+19950*x1+6091*x2+29738*x3+17159*x4+15219*x5+30510*x6+28062*x7+2989*x8+28367
+1*x5*x6^2*x7+31249*x5^2*x7^2+11913*x1*x6*x7^2+11503*x2*x6*x7^2+12865*x3*x6*x7^2+1*x4*x6*x7^2+16071*x5*x6*x7^2+29577*x6^2*x7^2+27533*x1*x7^3+8170*x2*x7^3+1325*x3*x7^3+12733*x4*x7^3+8025*x5*x7^3+1132*x6*x7^3+20672*x7^4+24965*x3*x5*x6*x8+27214*x4*x5*x6*x8+7601*x5^2*x6*x8+30885*x1*x6^2*x8+4271*x2*x6^2*x8+6541*x3*x6^2*x8+3646*x4*x6^2*x8+11722*x5*x6^2*x8+6800*x6^3*x8+15898*x2*x4*x7*x8+12643*x1*x5*x7*x8+25953*x2*x5*x7*x8+12328*x3*x5*x7*x8+28033*x4*x5*x7*x8+7028*x5^2*x7*x8+8711*x1*x6*x7*x8+3928*x2*x6*x7*x8+22137*x3*x6*x7*x8+12531*x4*x6*x7*x8+31052*x5*x6*x7*x8+1443*x6^2*x7*x8+7178*x1*x7^2*x8+29795*x2*x7^2*x8+1501*x3*x7^2*x8+23044*x4*x7^2*x8+554*x5*x7^2*x8+11007*x6*x7^2*x8+22649*x7^3*x8+16201*x2*x4*x8^2+30007*x4^2*x8^2+1793*x1*x5*x8^2+19761*x2*x5*x8^2+3148*x3*x5*x8^2+27626*x4*x5*x8^2+6986*x5^2*x8^2+24338*x1*x6*x8^2+30490*x2*x6*x8^2+26914*x3*x6*x8^2+26069*x4*x6*x8^2+18716*x5*x6*x8^2+16694*x6^2*x8^2+3343*x1*x7*x8^2+21616*x2*x7*x8^2+23101*x3*x7*x8^2+2592*x4*x7*x8^2+606*x5*x7*x8^2+21949*x6*x7*x8^2+25610*x7^2*x8^2+9433*x1*x8^3+9423*x2*x8^3+9951*x3*x8^3+16921*x4*x8^3+7613*x5*x8^3+5821*x6*x8^3+30281*x7*x8^3+19102*x8^4+22299*x3*x5*x6+14188*x4*x5*x6+5026*x5^2*x6+25128*x1*x6^2+9106*x2*x6^2+18737*x3*x6^2+13656*x4*x6^2+2902*x5*x6^2+17173*x6^3+21652*x2*x4*x7+14698*x1*x5*x7+6997*x2*x5*x7+21388*x3*x5*x7+17187*x4*x5*x7+999*x5^2*x7+23824*x1*x6*x7+31089*x2*x6*x7+4302*x3*x6*x7+2025*x4*x6*x7+28336*x5*x6*x7+2378*x6^2*x7+31225*x1*x7^2+3107*x2*x7^2+11012*x3*x7^2+7464*x4*x7^2+14186*x5*x7^2+6703*x6*x7^2+17453*x7^3+7420*x2*x4*x8+23879*x4^2*x8+4566*x1*x5*x8+6447*x2*x5*x8+22793*x3*x5*x8+711*x4*x5*x8+13424*x5^2*x8+7061*x1*x6*x8+696*x2*x6*x8+11440*x3*x6*x8+6437*x4*x6*x8+6667*x5*x6*x8+27437*x6^2*x8+24200*x1*x7*x8+16915*x2*x7*x8+13714*x3*x7*x8+8488*x4*x7*x8+5005*x5*x7*x8+22928*x6*x7*x8+6829*x7^2*x8+16796*x1*x8^2+8099*x2*x8^2+28037*x3*x8^2+3716*x4*x8^2+113*x5*x8^2+23804*x6*x8^2+27088*x7*x8^2+15309*x8^3+30780*x2*x4+19621*x4^2+13766*x1*x5+15396*x2*x5+2201*x3*x5+26300*x4*x5+24642*x5^2+4817*x1*x6+11744*x2*x6+29755*x3*x6+25239*x4*x6+31034*x5*x6+9203*x6^2+28908*x1*x7+1955*x2*x7+7192*x3*x7+10161*x4*x7+30343*x5*x7+30611*x6*x7+12771*x7^2+25709*x1*x8+24293*x2*x8+16150*x3*x8+22206*x4*x8+4035*x5*x8+15955*x6*x8+30355*x7*x8+19091*x8^2+28583*x1+1049*x2+23950*x3+26463*x4+31075*x5+25796*x6+9214*x7+25920*x8+23285
+1*x4*x6^2*x7+12850*x5^2*x7^2+27174*x1*x6*x7^2+22540*x2*x6*x7^2+25401*x3*x6*x7^2+27609*x4*x6*x7^2+11266*x5*x6*x7^2+18738*x6^2*x7^2+4333*x1*x7^3+31010*x2*x7^3+14600*x3*x7^3+22693*x4*x7^3+8911*x5*x7^3+29296*x6*x7^3+3248*x7^4+25718*x3*x5*x6*x8+31916*x4*x5*x6*x8+17672*x5^2*x6*x8+18038*x1*x6^2*x8+10012*x2*x6^2*x8+26257*x3*x6^2*x8+19127*x4*x6^2*x8+21048*x5*x6^2*x8+27940*x6^3*x8+16897*x2*x4*x7*x8+16024*x1*x5*x7*x8+23167*x2*x5*x7*x8+3050*x3*x5*x7*x8+27674*x4*x5*x7*x8+14347*x5^2*x7*x8+19934*x1*x6*x7*x8+11801*x2*x6*x7*x8+26620*x3*x6*x7*x8+2794*x4*x6*x7*x8+25928*x5*x6*x7*x8+2493*x6^2*x7*x8+11685*x1*x7^2*x8+31949*x2*x7^2*x8+18208*x3*x7^2*x8+27166*x4*x7^2*x8+9522*x5*x7^2*x8+20843*x6*x7^2*x8+30137*x7^3*x8+18535*x2*x4*x8^2+7101*x4^2*x8^2+30784*x1*x5*x8^2+16533*x2*x5*x8^2+17034*x3*x5*x8^2+19674*x4*x5*x8^2+9943*x5^2*x8^2+23766*x1*x6*x8^2+26595*x2*x6*x8^2+1998*x3*x6*x8^2+1929*x4*x6*x8^2+13310*x5*x6*x8^2+23165*x6^2*x8^2+21942*x1*x7*x8^2+31172*x2*x7*x8^2+4530*x3*x7*x8^2+16201*x4*x7*x8^2+18810*x5*x7*x8^2+22731*x6*x7*x8^2+2175*x7^2*x8^2+2780*x1*x8^3+16488*x2*x8^3+21372*x3*x8^3+1276*x4*x8^3+21614*x5*x8^3+9122*x6*x8^3+15793*x7*x8^3+30881*x8^4+30336*x3*x5*x6+20697*x4*x5*x6+2922*x5^2*x6+16406*x1*x6^2+16365*x2*x6^2+19711*x3*x6^2+27330*x4*x6^2+25468*x5*x6^2+13813*x6^3+26850*x2*x4*x7+10949*x1*x5*x7+20193*x2*x5*x7+31790*x3*x5*x7+12068*x4*x5*x7+6315*x5^2*x7+9320*x1*x6*x7+13189*x2*x6*x7+13676*x3*x6*x7+12969*x4*x6*x7+27622*x5*x6*x7+20566*x6^2*x7+21464*x1*x7^2+25731*x2*x7^2+5950*x3*x7^2+12099*x4*x7^2+16532*x5*x7^2+28587*x6*x7^2+14429*x7^3+29250*x2*x4*x8+4919*x4^2*x8+27524*x1*x5*x8+18218*x2*x5*x8+19301*x3*x5*x8+30815*x4*x5*x8+11240*x5^2*x8+31547*x1*x6*x8+31874*x2*x6*x8+3343*x3*x6*x8+14335*x4*x6*x8+2644*x5*x6*x8+16155*x6^2*x8+28685*x1*x7*x8+24618*x2*x7*x8+1106*x3*x7*x8+16410*x4*x7*x8+15697*x5*x7*x8+11231*x6*x7*x8+1285*x7^2*x8+22540*x1*x8^2+31224*x2*x8^2+24765*x3*x8^2+27106*x4*x8^2+7398*x5*x8^2+25437*x6*x8^2+26897*x7*x8^2+5365*x8^3+23481*x2*x4+2022*x4^2+33*x1*x5+13592*x2*x5+4078*x3*x5+9131*x4*x5+21419*x5^2+3347*x1*x6+26506*x2*x6+23970*x3*x6+29860*x4*x6+3431*x5*x6+16867*x6^2+257*x1*x7+12188*x2*x7+4610*x3*x7+25165*x4*x7+1361*x5*x7+12212*x6*x7+5630*x7^2+1195*x1*x8+30282*x2*x8+1630*x3*x8+21020*x4*x8+13777*x5*x8+30344*x6*x8+8250*x7*x8+22006*x8^2+22213*x1+30080*x2+26344*x3+7381*x4+21817*x5+29132*x6+31989*x7+28723*x8+26633
+1*x3*x6^2*x7+12533*x5^2*x7^2+29639*x1*x6*x7^2+7607*x2*x6*x7^2+23712*x3*x6*x7^2+9885*x4*x6*x7^2+2655*x5*x6*x7^2+15987*x6^2*x7^2+30325*x1*x7^3+2558*x2*x7^3+6183*x3*x7^3+6363*x4*x7^3+30031*x5*x7^3+14735*x6*x7^3+19623*x7^4+5059*x3*x5*x6*x8+17997*x4*x5*x6*x8+25242*x5^2*x6*x8+23277*x1*x6^2*x8+5713*x2*x6^2*x8+9502*x3*x6^2*x8+2453*x4*x6^2*x8+29348*x5*x6^2*x8+31817*x6^3*x8+28845*x2*x4*x7*x8+5739*x1*x5*x7*x8+14395*x2*x5*x7*x8+8*x3*x5*x7*x8+31050*x4*x5*x7*x8+18217*x5^2*x7*x8+3875*x1*x6*x7*x8+16676*x2*x6*x7*x8+15993*x3*x6*x7*x8+8285*x4*x6*x7*x8+2172*x5*x6*x7*x8+27677*x6^2*x7*x8+4192*x1*x7^2*x8+23757*x2*x7^2*x8+13145*x3*x7^2*x8+9842*x4*x7^2*x8+7824*x5*x7^2*x8+2838*x6*x7^2*x8+31123*x7^3*x8+22114*x2*x4*x8^2+11516*x4^2*x8^2+16931*x1*x5*x8^2+4519*x2*x5*x8^2+215*x3*x5*x8^2+9253*x4*x5*x8^2+30486*x5^2*x8^2+18559*x1*x6*x8^2+27503*x2*x6*x8^2+24187*x3*x6*x8^2+18551*x4*x6*x8^2+23800*x5*x6*x8^2+19766*x6^2*x8^2+6703*x1*x7*x8^2+8990*x2*x7*x8^2+21863*x3*x7*x8^2+29986*x4*x7*x8^2+798*x5*x7*x8^2+17277*x6*x7*x8^2+25677*x7^2*x8^2+27153*x1*x8^3+23455*x2*x8^3+16646*x3*x8^3+21244*x4*x8^3+15399*x5*x8^3+20372*x6*x8^3+27120*x7*x8^3+11008*x8^4+10515*x3*x5*x6+14778*x4*x5*x6+22140*x5^2*x6+15757*x1*x6^2+1855*x2*x6^2+28608*x3*x6^2+31120*x4*x6^2+10379*x5*x6^2+2406*x6^3+25179*x2*x4*x7+23483*x1*x5*x7+8249*x2*x5*x7+20970*x3*x5*x7+2912*x4*x5*x7+8461*x5^2*x7+3496*x1*x6*x7+1534*x2*x6*x7+19699*x3*x6*x7+19259*x4*x6*x7+12195*x5*x6*x7+16139*x6^2*x7+5532*x1*x7^2+14429*x2*x7^2+847*x3*x7^2+27041*x4*x7^2+904*x5*x7^2+5775*x6*x7^2+28724*x7^3+3545*x2*x4*x8+2594*x4^2*x8+1002*x1*x5*x8+30759*x2*x5*x8+3833*x3*x5*x8+5281*x4*x5*x8+10778*x5^2*x8+11212*x1*x6*x8+17085*x2*x6*x8+3950*x3*x6*x8+13927*x4*x6*x8+16498*x5*x6*x8+14223*x6^2*x8+22262*x1*x7*x8+2822*x2*x7*x8+20112*x3*x7*x8+14645*x4*x7*x8+23143*x5*x7*x8+12542*x6*x7*x8+16133*x7^2*x8+18478*x1*x8^2+2986*x2*x8^2+28021*x3*x8^2+26176*x4*x8^2+30953*x5*x8^2+14435*x6*x8^2+7152*x7*x8^2+16094*x8^3+22607*x2*x4+10292*x4^2+16798*x1*x5+2946*x2*x5+19780*x3*x5+8534*x4*x5+22771*x5^2+22353*x1*x6+17551*x2*x6+19176*x3*x6+10849*x4*x6+31234*x5*x6+22486*x6^2+3014*x1*x7+6187*x2*x7+911*x3*x7+9651*x4*x7+12123*x5*x7+8199*x6*x7+21769*x7^2+4616*x1*x8+18595*x2*x8+31058*x3*x8+28296*x4*x8+10037*x5*x8+7240*x6*x8+4966*x7*x8+28888*x8^2+27703*x1+1719*x2+21588*x3+25059*x4+10046*x5+31048*x6+30493*x7+21828*x8+3155
+1*x2*x6^2*x7+17687*x5^2*x7^2+9546*x1*x6*x7^2+16929*x2*x6*x7^2+17281*x3*x6*x7^2+9524*x4*x6*x7^2+26452*x5*x6*x7^2+6762*x6^2*x7^2+7815*x1*x7^3+4349*x2*x7^3+12478*x3*x7^3+28395*x4*x7^3+4048*x5*x7^3+189*x6*x7^3+4869*x7^4+21534*x3*x5*x6*x8+7412*x4*x5*x6*x8+22332*x5^2*x6*x8+6033*x1*x6^2*x8+30987*x2*x6^2*x8+16355*x3*x6^2*x8+15136*x4*x6^2*x8+8668*x5*x6^2*x8+6319*x6^3*x8+7144*x2*x4*x7*x8+12523*x1*x5*x7*x8+22950*x2*x5*x7*x8+27228*x3*x5*x7*x8+9468*x4*x5*x7*x8+17651*x5^2*x7*x8+15284*x1*x6*x7*x8+9700*x2*x6*x7*x8+10473*x3*x6*x7*x8+13413*x4*x6*x7*x8+17850*x5*x6*x7*x8+20179*x6^2*x7*x8+15313*x1*x7^2*x8+14186*x2*x7^2*x8+29454*x3*x7^2*x8+15547*x4*x7^2*x8+24080*x5*x7^2*x8+15704*x6*x7^2*x8+29098*x7^3*x8+13865*x2*x4*x8^2+8808*x4^2*x8^2+1698*x1*x5*x8^2+13833*x2*x5*x8^2+17882*x3*x5*x8^2+14868*x4*x5*x8^2+5100*x5^2*x8^2+8121*x1*x6*x8^2+18674*x2*x6*x8^2+17149*x3*x6*x8^2+13741*x4*x6*x8^2+7896*x5*x6*x8^2+27235*x6^2*x8^2+1272*x1*x7*x8^2+11135*x2*x7*x8^2+1812*x3*x7*x8^2+8464*x4*x7*x8^2+30196*x5*x7*x8^2+9029*x6*x7*x8^2+26959*x7^2*x8^2+23390*x1*x8^3+23274*x2*x8^3+15143*x3*x8^3+27527*x4*x8^3+20290*x5*x8^3+6116*x6*x8^3+26712*x7*x8^3+29513*x8^4+28106*x3*x5*x6+13120*x4*x5*x6+5955*x5^2*x6+6484*x1*x6^2+16957*x2*x6^2+3476*x3*x6^2+23604*x4*x6^2+19129*x5*x6^2+3855*x6^3+9234*x2*x4*x7+29013*x1*x5*x7+25314*x2*x5*x7+18839*x3*x5*x7+23551*x4*x5*x7+24305*x5^2*x7+8367*x1*x6*x7+2529*x2*x6*x7+13974*x3*x6*x7+24719*x4*x6*x7+12014*x5*x6*x7+7885*x6^2*x7+29915*x1*x7^2+19762*x2*x7^2+30947*x3*x7^2+18400*x4*x7^2+28485*x5*x7^2+11077*x6*x7^2+27848*x7^3+5859*x2*x4*x8+21422*x4^2*x8+2017*x1*x5*x8+10148*x2*x5*x8+27017*x3*x5*x8+12413*x4*x5*x8+2170*x5^2*x8+29456*x1*x6*x8+31654*x2*x6*x8+27084*x3*x6*x8+23641*x4*x6*x8+8546*x5*x6*x8+14527*x6^2*x8+24136*x1*x7*x8+11863*x2*x7*x8+10486*x3*x7*x8+30930*x4*x7*x8+18417*x5*x7*x8+5436*x6*x7*x8+13584*x7^2*x8+29602*x1*x8^2+308*x2*x8^2+11443*x3*x8^2+14535*x4*x8^2+27626*x5*x8^2+12167*x6*x8^2+25422*x7*x8^2+21912*x8^3+18083*x2*x4+13323*x4^2+12413*x1*x5+14383*x2*x5+8273*x3*x5+18744*x4*x5+27447*x5^2+7035*x1*x6+9156*x2*x6+15363*x3*x6+14548*x4*x6+13575*x5*x6+31525*x6^2+11635*x1*x7+18490*x2*x7+28650*x3*x7+6918*x4*x7+31962*x5*x7+8625*x6*x7+9342*x7^2+1064*x1*x8+14799*x2*x8+29226*x3*x8+27493*x4*x8+4982*x5*x8+3900*x6*x8+9703*x7*x8+5785*x8^2+1586*x1+9249*x2+29154*x3+30444*x4+26936*x5+27011*x6+3246*x7+22350*x8+26074
+1*x1*x6^2*x7+3094*x5^2*x7^2+18385*x1*x6*x7^2+10681*x2*x6*x7^2+24186*x3*x6*x7^2+5771*x4*x6*x7^2+27308*x5*x6*x7^2+20617*x6^2*x7^2+30359*x1*x7^3+10089*x2*x7^3+12744*x3*x7^3+12018*x4*x7^3+9187*x5*x7^3+22473*x6*x7^3+25125*x7^4+683*x3*x5*x6*x8+21729*x4*x5*x6*x8+17181*x5^2*x6*x8+9774*x1*x6^2*x8+533*x2*x6^2*x8+28043*x3*x6^2*x8+1757*x4*x6^2*x8+6693*x5*x6^2*x8+13490*x6^3*x8+29033*x2*x4*x7*x8+15147*x1*x5*x7*x8+12750*x2*x5*x7*x8+12503*x3*x5*x7*x8+2814*x4*x5*x7*x8+6245*x5^2*x7*x8+5104*x1*x6*x7*x8+9741*x2*x6*x7*x8+27324*x3*x6*x7*x8+10402*x4*x6*x7*x8+29895*x5*x6*x7*x8+2006*x6^2*x7*x8+8983*x1*x7^2*x8+2692*x2*x7^2*x8+5987*x3*x7^2*x8+21624*x4*x7^2*x8+21379*x5*x7^2*x8+24677*x6*x7^2*x8+24193*x7^3*x8+4179*x2*x4*x8^2+25258*x4^2*x8^2+26111*x1*x5*x8^2+18753*x2*x5*x8^2+29817*x3*x5*x8^2+46*x4*x5*x8^2+2803*x5^2*x8^2+25105*x1*x6*x8^2+14531*x2*x6*x8^2+8796*x3*x6*x8^2+13074*x4*x6*x8^2+9264*x5*x6*x8^2+9748*x6^2*x8^2+17183*x1*x7*x8^2+11269*x2*x7*x8^2+21054*x3*x7*x8^2+27508*x4*x7*x8^2+4788*x5*x7*x8^2+18737*x6*x7*x8^2+11917*x7^2*x8^2+26066*x1*x8^3+8045*x2*x8^3+24814*x3*x8^3+16161*x4*x8^3+10658*x5*x8^3+9000*x6*x8^3+31624*x7*x8^3+2780*x8^4+13827*x3*x5*x6+22582*x4*x5*x6+19177*x5^2*x6+14195*x1*x6^2+16437*x2*x6^2+31611*x3*x6^2+30182*x4*x6^2+17737*x5*x6^2+23839*x6^3+15015*x2*x4*x7+943*x1*x5*x7+29480*x2*x5*x7+27063*x3*x5*x7+15971*x4*x5*x7+16966*x5^2*x7+30467*x1*x6*x7+18565*x2*x6*x7+25438*x3*x6*x7+28746*x4*x6*x7+10700*x5*x6*x7+5431*x6^2*x7+8704*x1*x7^2+23182*x2*x7^2+341*x3*x7^2+21427*x4*x7^2+13538*x5*x7^2+19300*x6*x7^2+10004*x7^3+356*x2*x4*x8+29403*x4^2*x8+23722*x1*x5*x8+10212*x2*x5*x8+7423*x3*x5*x8+23955*x4*x5*x8+1521*x5^2*x8+14291*x1*x6*x8+7436*x2*x6*x8+23571*x3*x6*x8+18418*x4*x6*x8+13508*x5*x6*x8+6635*x6^2*x8+5624*x1*x7*x8+9217*x2*x7*x8+27062*x3*x7*x8+8561*x4*x7*x8+1017*x5*x7*x8+20132*x6*x7*x8+971*x7^2*x8+11491*x1*x8^2+10598*x2*x8^2+13430*x3*x8^2+10434*x4*x8^2+28057*x5*x8^2+29991*x6*x8^2+174*x7*x8^2+3859*x8^3+17814*x2*x4+30151*x4^2+24406*x1*x5+937*x2*x5+6616*x3*x5+12904*x4*x5+10133*x5^2+18948*x1*x6+23045*x2*x6+398*x3*x6+23877*x4*x6+160*x5*x6+4297*x6^2+22398*x1*x7+8247*x2*x7+168*x3*x7+31675*x4*x7+3279*x5*x7+14487*x6*x7+31528*x7^2+26144*x1*x8+21852*x2*x8+5857*x3*x8+29325*x4*x8+18662*x5*x8+17181*x6*x8+27565*x7*x8+12596*x8^2+661*x1+15121*x2+8678*x3+12528*x4+7847*x5+8040*x6+17814*x7+10950*x8+7086
+1*x5^2*x6*x7+19467*x5^2*x7^2+22775*x1*x6*x7^2+162*x2*x6*x7^2+1904*x3*x6*x7^2+917*x4*x6*x7^2+13352*x5*x6*x7^2+12987*x6^2*x7^2+26208*x1*x7^3+22263*x2*x7^3+23672*x3*x7^3+2971*x4*x7^3+31892*x5*x7^3+3809*x6*x7^3+876*x7^4+1029*x3*x5*x6*x8+7593*x4*x5*x6*x8+20309*x5^2*x6*x8+30851*x1*x6^2*x8+3735*x2*x6^2*x8+942*x3*x6^2*x8+23651*x4*x6^2*x8+10516*x5*x6^2*x8+12695*x6^3*x8+13906*x2*x4*x7*x8+18019*x1*x5*x7*x8+6809*x2*x5*x7*x8+6872*x3*x5*x7*x8+1898*x4*x5*x7*x8+8579*x5^2*x7*x8+28247*x1*x6*x7*x8+13301*x2*x6*x7*x8+19324*x3*x6*x7*x8+3991*x4*x6*x7*x8+1943*x5*x6*x7*x8+14589*x6^2*x7*x8+19115*x1*x7^2*x8+6997*x2*x7^2*x8+14067*x3*x7^2*x8+24996*x4*x7^2*x8+30079*x5*x7^2*x8+21273*x6*x7^2*x8+6267*x7^3*x8+26112*x2*x4*x8^2+22255*x4^2*x8^2+8787*x1*x5*x8^2+14132*x2*x5*x8^2+1656*x3*x5*x8^2+21019*x4*x5*x8^2+29721*x5^2*x8^2+13537*x1*x6*x8^2+6805*x2*x6*x8^2+27365*x3*x6*x8^2+30850*x4*x6*x8^2+16272*x5*x6*x8^2+13117*x6^2*x8^2+27229*x1*x7*x8^2+28069*x2*x7*x8^2+6261*x3*x7*x8^2+14539*x4*x7*x8^2+23932*x5*x7*x8^2+14950*x6*x7*x8^2+19522*x7^2*x8^2+5289*x1*x8^3+7553*x2*x8^3+3972*x3*x8^3+3931*x4*x8^3+1545*x5*x8^3+24717*x6*x8^3+29287*x7*x8^3+29385*x8^4+9387*x3*x5*x6+2265*x4*x5*x6+20631*x5^2*x6+16962*x1*x6^2+12728*x2*x6^2+17214*x3*x6^2+26432*x4*x6^2+14004*x5*x6^2+6170*x6^3+22482*x2*x4*x7+3962*x1*x5*x7+27333*x2*x5*x7+27624*x3*x5*x7+13907*x4*x5*x7+28398*x5^2*x7+16030*x1*x6*x7+14241*x2*x6*x7+11491*x3*x6*x7+17710*x4*x6*x7+28644*x5*x6*x7+30591*x6^2*x7+11795*x1*x7^2+5810*x2*x7^2+29860*x3*x7^2+5172*x4*x7^2+12772*x5*x7^2+25535*x6*x7^2+27295*x7^3+2330*x2*x4*x8+5044*x4^2*x8+2130*x1*x5*x8+1679*x2*x5*x8+13698*x3*x5*x8+18896*x4*x5*x8+22818*x5^2*x8+27937*x1*x6*x8+28950*x2*x6*x8+3724*x3*x6*x8+26119*x4*x6*x8+21028*x5*x6*x8+3672*x6^2*x8+6745*x1*x7*x8+7062*x2*x7*x8+5057*x3*x7*x8+29713*x4*x7*x8+11960*x5*x7*x8+16693*x6*x7*x8+17013*x7^2*x8+16549*x1*x8^2+1492*x2*x8^2+24824*x3*x8^2+15576*x4*x8^2+2877*x5*x8^2+9528*x6*x8^2+2324*x7*x8^2+1291*x8^3+14312*x2*x4+31934*x4^2+21740*x1*x5+3195*x2*x5+30645*x3*x5+24492*x4*x5+13471*x5^2+29809*x1*x6+6311*x2*x6+28855*x3*x6+8477*x4*x6+458*x5*x6+7967*x6^2+13448*x1*x7+10786*x2*x7+5238*x3*x7+20650*x4*x7+28049*x5*x7+1105*x6*x7+8796*x7^2+12336*x1*x8+17998*x2*x8+27644*x3*x8+18435*x4*x8+15076*x5*x8+22573*x6*x8+27906*x7*x8+16404*x8^2+21355*x1+13462*x2+29488*x3+2027*x4+16083*x5+30792*x6+18634*x7+4003*x8+900
+1*x4*x5*x6*x7+30614*x5^2*x7^2+7112*x1*x6*x7^2+20624*x2*x6*x7^2+28257*x3*x6*x7^2+9578*x4*x6*x7^2+21075*x5*x6*x7^2+26906*x6^2*x7^2+11223*x1*x7^3+27936*x2*x7^3+20245*x3*x7^3+7957*x4*x7^3+12225*x5*x7^3+9676*x6*x7^3+25215*x7^4+11458*x3*x5*x6*x8+5890*x4*x5*x6*x8+22476*x5^2*x6*x8+22430*x1*x6^2*x8+8775*x2*x6^2*x8+18342*x3*x6^2*x8+8364*x4*x6^2*x8+31590*x5*x6^2*x8+24867*x6^3*x8+1910*x2*x4*x7*x8+18132*x1*x5*x7*x8+27505*x2*x5*x7*x8+16670*x3*x5*x7*x8+30934*x4*x5*x7*x8+27690*x5^2*x7*x8+21521*x1*x6*x7*x8+10986*x2*x6*x7*x8+16181*x3*x6*x7*x8+25517*x4*x6*x7*x8+15897*x5*x6*x7*x8+2061*x6^2*x7*x8+3775*x1*x7^2*x8+29027*x2*x7^2*x8+16647*x3*x7^2*x8+1036*x4*x7^2*x8+4931*x5*x7^2*x8+114*x6*x7^2*x8+1954*x7^3*x8+19192*x2*x4*x8^2+11346*x4^2*x8^2+24052*x1*x5*x8^2+14848*x2*x5*x8^2+2662*x3*x5*x8^2+28035*x4*x5*x8^2+7104*x5^2*x8^2+341*x1*x6*x8^2+14566*x2*x6*x8^2+24146*x3*x6*x8^2+3858*x4*x6*x8^2+29071*x5*x6*x8^2+24234*x6^2*x8^2+28596*x1*x7*x8^2+13855*x2*x7*x8^2+11371*x3*x7*x8^2+28935*x4*x7*x8^2+28574*x5*x7*x8^2+22160*x6*x7*x8^2+27797*x7^2*x8^2+6678*x1*x8^3+25686*x2*x8^3+25660*x3*x8^3+2479*x4*x8^3+30876*x5*x8^3+27460*x6*x8^3+28713*x7*x8^3+13156*x8^4+29807*x3*x5*x6+27094*x4*x5*x6+6550*x5^2*x6+23254*x1*x6^2+2816*x2*x6^2+29949*x3*x6^2+7832*x4*x6^2+12047*x5*x6^2+1854*x6^3+23101*x2*x4*x7+11288*x1*x5*x7+26559*x2*x5*x7+29612*x3*x5*x7+7827*x4*x5*x7+17791*x5^2*x7+3248*x1*x6*x7+7390*x2*x6*x7+7273*x3*x6*x7+13393*x4*x6*x7+18603*x5*x6*x7+27257*x6^2*x7+2388*x1*x7^2+16286*x2*x7^2+17657*x3*x7^2+18523*x4*x7^2+6383*x5*x7^2+29966*x6*x7^2+29458*x7^3+5370*x2*x4*x8+19338*x4^2*x8+10599*x1*x5*x8+9466*x2*x5*x8+14100*x3*x5*x8+25673*x4*x5*x8+10646*x5^2*x8+22460*x1*x6*x8+20096*x2*x6*x8+15282*x3*x6*x8+12454*x4*x6*x8+19669*x5*x6*x8+7531*x6^2*x8+30727*x1*x7*x8+493*x2*x7*x8+18219*x3*x7*x8+31024*x4*x7*x8+25836*x5*x7*x8+31514*x6*x7*x8+10698*x7^2*x8+27027*x1*x8^2+30460*x2*x8^2+1135*x3*x8^2+11405*x4*x8^2+29660*x5*x8^2+5517*x6*x8^2+8460*x7*x8^2+21384*x8^3+478*x2*x4+19434*x4^2+18631*x1*x5+22144*x2*x5+18659*x3*x5+20732*x4*x5+5953*x5^2+7896*x1*x6+25793*x2*x6+5216*x3*x6+15423*x4*x6+24221*x5*x6+1646*x6^2+1975*x1*x7+14297*x2*x7+30163*x3*x7+16872*x4*x7+5711*x5*x7+16472*x6*x7+24255*x7^2+4774*x1*x8+23605*x2*x8+5715*x3*x8+1457*x4*x8+18012*x5*x8+5560*x6*x8+28695*x7*x8+17950*x8^2+8575*x1+28450*x2+19410*x3+16743*x4+24262*x5+21639*x6+9022*x7+18747*x8+30226
+1*x3*x5*x6*x7+4733*x5^2*x7^2+21074*x1*x6*x7^2+3325*x2*x6*x7^2+2487*x3*x6*x7^2+19542*x4*x6*x7^2+24422*x5*x6*x7^2+17807*x6^2*x7^2+24548*x1*x7^3+3442*x2*x7^3+17937*x3*x7^3+24476*x4*x7^3+16713*x5*x7^3+22821*x6*x7^3+12295*x7^4+29602*x3*x5*x6*x8+12331*x4*x5*x6*x8+17366*x5^2*x6*x8+26173*x1*x6^2*x8+16656*x2*x6^2*x8+6488*x3*x6^2*x8+12229*x4*x6^2*x8+28236*x5*x6^2*x8+6276*x6^3*x8+23301*x2*x4*x7*x8+7414*x1*x5*x7*x8+24110*x2*x5*x7*x8+8226*x3*x5*x7*x8+10023*x4*x5*x7*x8+20228*x5^2*x7*x8+21556*x1*x6*x7*x8+31703*x2*x6*x7*x8+4581*x3*x6*x7*x8+16022*x4*x6*x7*x8+14442*x5*x6*x7*x8+4276*x6^2*x7*x8+25187*x1*x7^2*x8+19258*x2*x7^2*x8+24228*x3*x7^2*x8+22347*x4*x7^2*x8+4802*x5*x7^2*x8+27424*x6*x7^2*x8+20471*x7^3*x8+14069*x2*x4*x8^2+25944*x4^2*x8^2+27735*x1*x5*x8^2+20954*x2*x5*x8^2+31304*x3*x5*x8^2+1699*x4*x5*x8^2+6249*x5^2*x8^2+22011*x1*x6*x8^2+18606*x2*x6*x8^2+8301*x3*x6*x8^2+26915*x4*x6*x8^2+16189*x5*x6*x8^2+21566*x6^2*x8^2+2972*x1*x7*x8^2+23692*x2*x7*x8^2+30250*x3*x7*x8^2+27863*x4*x7*x8^2+4682*x5*x7*x8^2+6507*x6*x7*x8^2+29017*x7^2*x8^2+29204*x1*x8^3+22246*x2*x8^3+611*x3*x8^3+17602*x4*x8^3+8758*x5*x8^3+26482*x6*x8^3+27346*x7*x8^3+23929*x8^4+2795*x3*x5*x6+3920*x4*x5*x6+12292*x5^2*x6+12673*x1*x6^2+2993*x2*x6^2+9999*x3*x6^2+17058*x4*x6^2+18909*x5*x6^2+29648*x6^3+26421*x2*x4*x7+21992*x1*x5*x7+15371*x2*x5*x7+21331*x3*x5*x7+10492*x4*x5*x7+26475*x5^2*x7+21857*x1*x6*x7+17465*x2*x6*x7+3704*x3*x6*x7+20285*x4*x6*x7+16231*x5*x6*x7+17236*x6^2*x7+5795*x1*x7^2+14055*x2*x7^2+15757*x3*x7^2+5518*x4*x7^2+11517*x5*x7^2+7702*x6*x7^2+16215*x7^3+18799*x2*x4*x8+3021*x4^2*x8+15461*x1*x5*x8+30137*x2*x5*x8+17370*x3*x5*x8+12498*x4*x5*x8+10849*x5^2*x8+31094*x1*x6*x8+5742*x2*x6*x8+7824*x3*x6*x8+24287*x4*x6*x8+11460*x5*x6*x8+16914*x6^2*x8+16804*x1*x7*x8+30726*x2*x7*x8+1815*x3*x7*x8+3407*x4*x7*x8+14295*x5*x7*x8+24091*x6*x7*x8+9582*x7^2*x8+5357*x1*x8^2+8736*x2*x8^2+8638*x3*x8^2+9842*x4*x8^2+14022*x5*x8^2+18702*x6*x8^2+8207*x7*x8^2+28671*x8^3+6198*x2*x4+17366*x4^2+1827*x1*x5+12305*x2*x5+8424*x3*x5+30826*x4*x5+19046*x5^2+4061*x1*x6+26229*x2*x6+28764*x3*x6+17072*x4*x6+12779*x5*x6+29998*x6^2+32000*x1*x7+29004*x2*x7+7741*x3*x7+7962*x4*x7+10904*x5*x7+28939*x6*x7+7406*x7^2+26932*x1*x8+24651*x2*x8+8832*x3*x8+7650*x4*x8+8052*x5*x8+21827*x6*x8+3282*x7*x8+28819*x8^2+19551*x1+12720*x2+21852*x3+31644*x4+8806*x5+11512*x6+8763*x7+28349*x8+1811
+1*x6^4+25516*x5^2*x7^2+21264*x1*x6*x7^2+8466*x2*x6*x7^2+14911*x3*x6*x7^2+11603*x4*x6*x7^2+1312*x5*x6*x7^2+19729*x6^2*x7^2+11778*x1*x7^3+29864*x2*x7^3+16930*x3*x7^3+12437*x4*x7^3+11711*x5*x7^3+25756*x6*x7^3+28993*x7^4+11758*x3*x5*x6*x8+30278*x4*x5*x6*x8+7189*x5^2*x6*x8+15088*x1*x6^2*x8+22377*x2*x6^2*x8+29703*x3*x6^2*x8+18845*x4*x6^2*x8+18799*x5*x6^2*x8+17205*x6^3*x8+13191*x2*x4*x7*x8+8936*x1*x5*x7*x8+30662*x2*x5*x7*x8+5334*x3*x5*x7*x8+22875*x4*x5*x7*x8+10936*x5^2*x7*x8+29382*x1*x6*x7*x8+13517*x2*x6*x7*x8+23138*x3*x6*x7*x8+23763*x4*x6*x7*x8+6964*x5*x6*x7*x8+22564*x6^2*x7*x8+3829*x1*x7^2*x8+6239*x2*x7^2*x8+18866*x3*x7^2*x8+14112*x4*x7^2*x8+27328*x5*x7^2*x8+16667*x6*x7^2*x8+12197*x7^3*x8+1112*x2*x4*x8^2+4539*x4^2*x8^2+24301*x1*x5*x8^2+9492*x2*x5*x8^2+4710*x3*x5*x8^2+16685*x4*x5*x8^2+22933*x5^2*x8^2+11688*x1*x6*x8^2+15701*x2*x6*x8^2+9348*x3*x6*x8^2+23868*x4*x6*x8^2+7051*x5*x6*x8^2+2530*x6^2*x8^2+10613*x1*x7*x8^2+12038*x2*x7*x8^2+23435*x3*x7*x8^2+5387*x4*x7*x8^2+3625*x5*x7*x8^2+5627*x6*x7*x8^2+5281*x7^2*x8^2+25922*x1*x8^3+9135*x2*x8^3+3929*x3*x8^3+11034*x4*x8^3+12217*x5*x8^3+12031*x6*x8^3+2685*x7*x8^3+12850*x8^4+14682*x3*x5*x6+15127*x4*x5*x6+16441*x5^2*x6+11244*x1*x6^2+5117*x2*x6^2+11621*x3*x6^2+30629*x4*x6^2+13320*x5*x6^2+21280*x6^3+11968*x2*x4*x7+25540*x1*x5*x7+7788*x2*x5*x7+28385*x3*x5*x7+9820*x4*x5*x7+11769*x5^2*x7+28769*x1*x6*x7+5905*x2*x6*x7+15640*x3*x6*x7+18493*x4*x6*x7+26729*x5*x6*x7+477*x6^2*x7+12305*x1*x7^2+25253*x2*x7^2+26772*x3*x7^2+18120*x4*x7^2+434*x5*x7^2+19650*x6*x7^2+2536*x7^3+16825*x2*x4*x8+11578*x4^2*x8+3155*x1*x5*x8+1460*x2*x5*x8+27591*x3*x5*x8+10229*x4*x5*x8+28129*x5^2*x8+12603*x1*x6*x8+9342*x2*x6*x8+17696*x3*x6*x8+20515*x4*x6*x8+28354*x5*x6*x8+21271*x6^2*x8+16612*x1*x7*x8+15748*x2*x7*x8+29975*x3*x7*x8+2417*x4*x7*x8+6275*x5*x7*x8+247*x6*x7*x8+3847*x7^2*x8+4310*x1*x8^2+12751*x2*x8^2+15053*x3*x8^2+8650*x4*x8^2+16408*x5*x8^2+3607*x6*x8^2+6462*x7*x8^2+21361*x8^3+9900*x2*x4+31128*x4^2+16283*x1*x5+3773*x2*x5+26941*x3*x5+13972*x4*x5+18862*x5^2+15165*x1*x6+30764*x2*x6+8593*x3*x6+10738*x4*x6+19508*x5*x6+23761*x6^2+966*x1*x7+20539*x2*x7+14914*x3*x7+22497*x4*x7+16959*x5*x7+5991*x6*x7+12795*x7^2+140*x1*x8+5931*x2*x8+11809*x3*x8+22727*x4*x8+25803*x5*x8+5071*x6*x8+1414*x7*x8+5740*x8^2+8447*x1+22843*x2+20334*x3+4821*x4+26277*x5+22154*x6+7948*x7+17118*x8+15428
+1*x5*x6^3+15454*x5^2*x7^2+23309*x1*x6*x7^2+19086*x2*x6*x7^2+26967*x3*x6*x7^2+29198*x4*x6*x7^2+24486*x5*x6*x7^2+12660*x6^2*x7^2+26299*x1*x7^3+31996*x2*x7^3+18310*x3*x7^3+26560*x4*x7^3+31656*x5*x7^3+562*x6*x7^3+24233*x7^4+4915*x3*x5*x6*x8+1189*x4*x5*x6*x8+14067*x5^2*x6*x8+2360*x1*x6^2*x8+30945*x2*x6^2*x8+7073*x3*x6^2*x8+7864*x4*x6^2*x8+16573*x5*x6^2*x8+4088*x6^3*x8+4211*x2*x4*x7*x8+18419*x1*x5*x7*x8+9986*x2*x5*x7*x8+29640*x3*x5*x7*x8+8110*x4*x5*x7*x8+1077*x5^2*x7*x8+4034*x1*x6*x7*x8+2282*x2*x6*x7*x8+6864*x3*x6*x7*x8+8224*x4*x6*x7*x8+6433*x5*x6*x7*x8+1581*x6^2*x7*x8+14404*x1*x7^2*x8+17945*x2*x7^2*x8+24258*x3*x7^2*x8+12744*x4*x7^2*x8+11151*x5*x7^2*x8+24342*x6*x7^2*x8+29469*x7^3*x8+215*x2*x4*x8^2+29105*x4^2*x8^2+21032*x1*x5*x8^2+4741*x2*x5*x8^2+8234*x3*x5*x8^2+23996*x4*x5*x8^2+13628*x5^2*x8^2+26094*x1*x6*x8^2+15220*x2*x6*x8^2+3596*x3*x6*x8^2+9117*x4*x6*x8^2+3657*x5*x6*x8^2+30833*x6^2*x8^2+14373*x1*x7*x8^2+16547*x2*x7*x8^2+18932*x3*x7*x8^2+7620*x4*x7*x8^2+11088*x5*x7*x8^2+28036*x6*x7*x8^2+18652*x7^2*x8^2+14418*x1*x8^3+13713*x2*x8^3+2148*x3*x8^3+3629*x4*x8^3+29568*x5*x8^3+1977*x6*x8^3+5969*x7*x8^3+17923*x8^4+22595*x3*x5*x6+1910*x4*x5*x6+31938*x5^2*x6+20584*x1*x6^2+23118*x2*x6^2+10173*x3*x6^2+4039*x4*x6^2+14231*x5*x6^2+23881*x6^3+15161*x2*x4*x7+804*x1*x5*x7+14747*x2*x5*x7+19766*x3*x5*x7+10239*x4*x5*x7+18884*x5^2*x7+31101*x1*x6*x7+8296*x2*x6*x7+5376*x3*x6*x7+7221*x4*x6*x7+5190*x5*x6*x7+1645*x6^2*x7+27193*x1*x7^2+29340*x2*x7^2+20085*x3*x7^2+4253*x4*x7^2+8282*x5*x7^2+11750*x6*x7^2+25866*x7^3+7991*x2*x4*x8+5407*x4^2*x8+22397*x1*x5*x8+18103*x2*x5*x8+21351*x3*x5*x8+29415*x4*x5*x8+14162*x5^2*x8+27248*x1*x6*x8+6457*x2*x6*x8+7426*x3*x6*x8+7554*x4*x6*x8+30129*x5*x6*x8+8363*x6^2*x8+12389*x1*x7*x8+21630*x2*x7*x8+23741*x3*x7*x8+15182*x4*x7*x8+10045*x5*x7*x8+15459*x6*x7*x8+28757*x7^2*x8+28364*x1*x8^2+23761*x2*x8^2+12917*x3*x8^2+31180*x4*x8^2+23342*x5*x8^2+25860*x6*x8^2+30748*x7*x8^2+21790*x8^3+31876*x2*x4+475*x4^2+6834*x1*x5+10705*x2*x5+13261*x3*x5+7376*x4*x5+31376*x5^2+14351*x1*x6+2188*x2*x6+28073*x3*x6+8308*x4*x6+13472*x5*x6+18884*x6^2+4907*x1*x7+22882*x2*x7+30143*x3*x7+21015*x4*x7+26855*x5*x7+1213*x6*x7+25550*x7^2+18119*x1*x8+18841*x2*x8+15771*x3*x8+15294*x4*x8+20938*x5*x8+9746*x6*x8+7927*x7*x8+20317*x8^2+3545*x1+18041*x2+20311*x3+10663*x4+7205*x5+15817*x6+3925*x7+1097*x8+31939
+1*x4*x6^3+4549*x5^2*x7^2+913*x1*x6*x7^2+23316*x2*x6*x7^2+29912*x3*x6*x7^2+17372*x4*x6*x7^2+17474*x5*x6*x7^2+31165*x6^2*x7^2+7374*x1*x7^3+9465*x2*x7^3+23699*x3*x7^3+5015*x4*x7^3+8114*x5*x7^3+11321*x6*x7^3+25249*x7^4+2608*x3*x5*x6*x8+876*x4*x5*x6*x8+23331*x5^2*x6*x8+29702*x1*x6^2*x8+21903*x2*x6^2*x8+19173*x3*x6^2*x8+15172*x4*x6^2*x8+30070*x5*x6^2*x8+24543*x6^3*x8+11825*x2*x4*x7*x8+1368*x1*x5*x7*x8+29011*x2*x5*x7*x8+18747*x3*x5*x7*x8+12792*x4*x5*x7*x8+7035*x5^2*x7*x8+13276*x1*x6*x7*x8+30856*x2*x6*x7*x8+28086*x3*x6*x7*x8+27266*x4*x6*x7*x8+6135*x5*x6*x7*x8+14118*x6^2*x7*x8+8610*x1*x7^2*x8+2283*x2*x7^2*x8+6522*x3*x7^2*x8+25427*x4*x7^2*x8+26237*x5*x7^2*x8+14938*x6*x7^2*x8+3566*x7^3*x8+1906*x2*x4*x8^2+3772*x4^2*x8^2+14983*x1*x5*x8^2+11560*x2*x5*x8^2+26733*x3*x5*x8^2+30822*x4*x5*x8^2+3903*x5^2*x8^2+21882*x1*x6*x8^2+326*x2*x6*x8^2+19770*x3*x6*x8^2+21004*x4*x6*x8^2+8129*x5*x6*x8^2+29127*x6^2*x8^2+29841*x1*x7*x8^2+17548*x2*x7*x8^2+12947*x3*x7*x8^2+27572*x4*x7*x8^2+16516*x5*x7*x8^2+3985*x6*x7*x8^2+6770*x7^2*x8^2+10851*x1*x8^3+2121*x2*x8^3+6134*x3*x8^3+28315*x4*x8^3+19224*x5*x8^3+19345*x6*x8^3+1827*x7*x8^3+2801*x8^4+24917*x3*x5*x6+23183*x4*x5*x6+3586*x5^2*x6+26066*x1*x6^2+68*x2*x6^2+9333*x3*x6^2+13372*x4*x6^2+7689*x5*x6^2+15536*x6^3+7838*x2*x4*x7+19773*x1*x5*x7+7733*x2*x5*x7+22979*x3*x5*x7+17149*x4*x5*x7+20180*x5^2*x7+25580*x1*x6*x7+18758*x2*x6*x7+14379*x3*x6*x7+3256*x4*x6*x7+7701*x5*x6*x7+7756*x6^2*x7+4366*x1*x7^2+21562*x2*x7^2+31697*x3*x7^2+15491*x4*x7^2+16605*x5*x7^2+29376*x6*x7^2+15234*x7^3+16950*x2*x4*x8+30628*x4^2*x8+4959*x1*x5*x8+12828*x2*x5*x8+26476*x3*x5*x8+25582*x4*x5*x8+9179*x5^2*x8+13837*x1*x6*x8+8105*x2*x6*x8+9487*x3*x6*x8+27353*x4*x6*x8+27232*x5*x6*x8+16722*x6^2*x8+2429*x1*x7*x8+21223*x2*x7*x8+22098*x3*x7*x8+10037*x4*x7*x8+2165*x5*x7*x8+20335*x6*x7*x8+16568*x7^2*x8+19335*x1*x8^2+31404*x2*x8^2+29054*x3*x8^2+7144*x4*x8^2+26600*x5*x8^2+9810*x6*x8^2+26475*x7*x8^2+22770*x8^3+16144*x2*x4+17869*x4^2+31765*x1*x5+26826*x2*x5+22216*x3*x5+18891*x4*x5+2114*x5^2+26816*x1*x6+21757*x2*x6+22667*x3*x6+4094*x4*x6+30738*x5*x6+14262*x6^2+29240*x1*x7+27773*x2*x7+20282*x3*x7+19672*x4*x7+7415*x5*x7+1331*x6*x7+29610*x7^2+22154*x1*x8+9139*x2*x8+8485*x3*x8+29992*x4*x8+3258*x5*x8+26793*x6*x8+10671*x7*x8+11800*x8^2+11492*x1+10745*x2+30568*x3+16515*x4+16383*x5+19572*x6+6953*x7+18889*x8+21857
+1*x3*x6^3+25805*x5^2*x7^2+23045*x1*x6*x7^2+2138*x2*x6*x7^2+15523*x3*x6*x7^2+20978*x4*x6*x7^2+20708*x5*x6*x7^2+25798*x6^2*x7^2+29936*x1*x7^3+9549*x2*x7^3+31592*x3*x7^3+939*x4*x7^3+25926*x5*x7^3+10024*x6*x7^3+21699*x7^4+21511*x3*x5*x6*x8+12970*x4*x5*x6*x8+19253*x5^2*x6*x8+23004*x1*x6^2*x8+21163*x2*x6^2*x8+8238*x3*x6^2*x8+8340*x4*x6^2*x8+5011*x5*x6^2*x8+23212*x6^3*x8+30185*x2*x4*x7*x8+4037*x1*x5*x7*x8+7111*x2*x5*x7*x8+18991*x3*x5*x7*x8+21109*x4*x5*x7*x8+19122*x5^2*x7*x8+29273*x1*x6*x7*x8+4169*x2*x6*x7*x8+22365*x3*x6*x7*x8+14656*x4*x6*x7*x8+41*x5*x6*x7*x8+7769*x6^2*x7*x8+6888*x1*x7^2*x8+25770*x2*x7^2*x8+14177*x3*x7^2*x8+9155*x4*x7^2*x8+28179*x5*x7^2*x8+27475*x6*x7^2*x8+20117*x7^3*x8+9630*x2*x4*x8^2+31460*x4^2*x8^2+14338*x1*x5*x8^2+24136*x2*x5*x8^2+17919*x3*x5*x8^2+17257*x4*x5*x8^2+17120*x5^2*x8^2+30465*x1*x6*x8^2+2178*x2*x6*x8^2+8050*x3*x6*x8^2+12499*x4*x6*x8^2+7560*x5*x6*x8^2+23545*x6^2*x8^2+946*x1*x7*x8^2+21239*x2*x7*x8^2+8988*x3*x7*x8^2+13605*x4*x7*x8^2+29408*x5*x7*x8^2+3888*x6*x7*x8^2+18976*x7^2*x8^2+1732*x1*x8^3+28806*x2*x8^3+11872*x3*x8^3+17562*x4*x8^3+5944*x5*x8^3+15768*x6*x8^3+30351*x7*x8^3+2689*x8^4+12113*x3*x5*x6+31235*x4*x5*x6+1570*x5^2*x6+11789*x1*x6^2+10605*x2*x6^2+10580*x3*x6^2+26553*x4*x6^2+29089*x5*x6^2+3299*x6^3+29416*x2*x4*x7+18756*x1*x5*x7+96*x2*x5*x7+9892*x3*x5*x7+23456*x4*x5*x7+11856*x5^2*x7+1999*x1*x6*x7+27826*x2*x6*x7+11752*x3*x6*x7+27909*x4*x6*x7+16978*x5*x6*x7+30444*x6^2*x7+14839*x1*x7^2+7790*x2*x7^2+28692*x3*x7^2+3478*x4*x7^2+7570*x5*x7^2+3947*x6*x7^2+9996*x7^3+18348*x2*x4*x8+6677*x4^2*x8+879*x1*x5*x8+17518*x2*x5*x8+5288*x3*x5*x8+1865*x4*x5*x8+17214*x5^2*x8+21078*x1*x6*x8+19455*x2*x6*x8+31016*x3*x6*x8+21944*x4*x6*x8+4944*x5*x6*x8+17368*x6^2*x8+11812*x1*x7*x8+5998*x2*x7*x8+20761*x3*x7*x8+28214*x4*x7*x8+31985*x5*x7*x8+3330*x6*x7*x8+6783*x7^2*x8+14052*x1*x8^2+19842*x2*x8^2+25118*x3*x8^2+29217*x4*x8^2+21316*x5*x8^2+4746*x6*x8^2+29352*x7*x8^2+25794*x8^3+30607*x2*x4+31738*x4^2+31430*x1*x5+26516*x2*x5+14798*x3*x5+14639*x4*x5+4942*x5^2+11357*x1*x6+20494*x2*x6+30354*x3*x6+18801*x4*x6+12221*x5*x6+25028*x6^2+24633*x1*x7+24527*x2*x7+12428*x3*x7+14738*x4*x7+16322*x5*x7+25054*x6*x7+18319*x7^2+22759*x1*x8+7030*x2*x8+22512*x3*x8+3109*x4*x8+7744*x5*x8+21659*x6*x8+24065*x7*x8+12953*x8^2+18799*x1+10663*x2+18397*x3+19137*x5+23368*x6+1098*x7+7321*x8+3429
+1*x2*x6^3+2553*x5^2*x7^2+16364*x1*x6*x7^2+26400*x2*x6*x7^2+31836*x3*x6*x7^2+15113*x4*x6*x7^2+10376*x5*x6*x7^2+17795*x6^2*x7^2+14394*x1*x7^3+2583*x2*x7^3+30972*x3*x7^3+12827*x4*x7^3+13962*x5*x7^3+11700*x6*x7^3+5377*x7^4+19715*x3*x5*x6*x8+20833*x4*x5*x6*x8+1101*x5^2*x6*x8+18788*x1*x6^2*x8+20222*x2*x6^2*x8+5029*x3*x6^2*x8+22303*x4*x6^2*x8+30115*x5*x6^2*x8+17375*x6^3*x8+28044*x2*x4*x7*x8+6368*x1*x5*x7*x8+11403*x2*x5*x7*x8+22293*x3*x5*x7*x8+895*x4*x5*x7*x8+27612*x5^2*x7*x8+21549*x1*x6*x7*x8+20837*x2*x6*x7*x8+2080*x3*x6*x7*x8+16401*x4*x6*x7*x8+9027*x5*x6*x7*x8+28308*x6^2*x7*x8+735*x1*x7^2*x8+31475*x2*x7^2*x8+18375*x3*x7^2*x8+15895*x4*x7^2*x8+27964*x5*x7^2*x8+25414*x6*x7^2*x8+16138*x7^3*x8+15825*x2*x4*x8^2+21214*x4^2*x8^2+9559*x1*x5*x8^2+10261*x2*x5*x8^2+3363*x3*x5*x8^2+22545*x4*x5*x8^2+9308*x5^2*x8^2+12262*x1*x6*x8^2+12602*x2*x6*x8^2+30478*x3*x6*x8^2+15404*x4*x6*x8^2+11230*x5*x6*x8^2+923*x6^2*x8^2+11956*x1*x7*x8^2+805*x2*x7*x8^2+6334*x3*x7*x8^2+10243*x4*x7*x8^2+1440*x5*x7*x8^2+1380*x6*x7*x8^2+21618*x7^2*x8^2+3931*x1*x8^3+16316*x2*x8^3+2541*x3*x8^3+26288*x4*x8^3+27963*x5*x8^3+28655*x6*x8^3+20027*x7*x8^3+24841*x8^4+16106*x3*x5*x6+10637*x4*x5*x6+22061*x5^2*x6+18889*x1*x6^2+6991*x2*x6^2+17651*x3*x6^2+4080*x4*x6^2+5644*x5*x6^2+18527*x6^3+30649*x2*x4*x7+28840*x1*x5*x7+10566*x2*x5*x7+13107*x3*x5*x7+15868*x4*x5*x7+7782*x5^2*x7+14880*x1*x6*x7+13699*x2*x6*x7+13449*x3*x6*x7+14981*x4*x6*x7+25567*x5*x6*x7+10680*x6^2*x7+6903*x1*x7^2+8269*x2*x7^2+25730*x3*x7^2+5929*x4*x7^2+18387*x5*x7^2+21162*x6*x7^2+28019*x7^3+14982*x2*x4*x8+30957*x4^2*x8+18825*x1*x5*x8+20471*x2*x5*x8+7540*x3*x5*x8+6919*x4*x5*x8+5275*x5^2*x8+26602*x1*x6*x8+11552*x2*x6*x8+11405*x3*x6*x8+29518*x4*x6*x8+14363*x5*x6*x8+11359*x6^2*x8+9548*x1*x7*x8+27005*x2*x7*x8+21604*x3*x7*x8+500*x4*x7*x8+12061*x5*x7*x8+20163*x6*x7*x8+18608*x7^2*x8+9012*x1*x8^2+17226*x2*x8^2+16081*x3*x8^2+16398*x4*x8^2+5501*x5*x8^2+22964*x6*x8^2+5248*x7*x8^2+27734*x8^3+25864*x2*x4+14249*x4^2+7667*x1*x5+17561*x2*x5+657*x3*x5+14596*x4*x5+7479*x5^2+18591*x1*x6+6660*x2*x6+16540*x3*x6+18691*x4*x6+14419*x5*x6+25599*x6^2+26035*x1*x7+11766*x2*x7+29709*x3*x7+17038*x4*x7+24683*x5*x7+23857*x6*x7+31828*x7^2+13571*x1*x8+8116*x2*x8+5506*x3*x8+18203*x4*x8+19261*x5*x8+555*x6*x8+13475*x7*x8+28230*x8^2+11810*x1+12436*x2+15546*x3+1536*x4+29819*x5+6853*x6+25072*x7+18021*x8+23465
+1*x1*x6^3+19057*x5^2*x7^2+6385*x1*x6*x7^2+29454*x2*x6*x7^2+14977*x3*x6*x7^2+18156*x4*x6*x7^2+30211*x5*x6*x7^2+8152*x6^2*x7^2+9306*x1*x7^3+13999*x2*x7^3+23678*x3*x7^3+13800*x4*x7^3+6829*x5*x7^3+17178*x6*x7^3+9384*x7^4+10521*x3*x5*x6*x8+28149*x4*x5*x6*x8+27010*x5^2*x6*x8+4428*x1*x6^2*x8+22387*x2*x6^2*x8+11571*x3*x6^2*x8+21569*x4*x6^2*x8+14473*x5*x6^2*x8+24549*x6^3*x8+27949*x2*x4*x7*x8+28303*x1*x5*x7*x8+10377*x2*x5*x7*x8+9503*x3*x5*x7*x8+16427*x4*x5*x7*x8+17697*x5^2*x7*x8+3946*x1*x6*x7*x8+28305*x2*x6*x7*x8+4761*x3*x6*x7*x8+5528*x4*x6*x7*x8+16756*x5*x6*x7*x8+23651*x6^2*x7*x8+26150*x1*x7^2*x8+21613*x2*x7^2*x8+25672*x3*x7^2*x8+1484*x4*x7^2*x8+9456*x5*x7^2*x8+21044*x6*x7^2*x8+18666*x7^3*x8+22583*x2*x4*x8^2+29648*x4^2*x8^2+22460*x1*x5*x8^2+17998*x2*x5*x8^2+9833*x3*x5*x8^2+10773*x4*x5*x8^2+31139*x5^2*x8^2+11119*x1*x6*x8^2+6294*x2*x6*x8^2+8187*x3*x6*x8^2+18920*x4*x6*x8^2+4473*x5*x6*x8^2+1998*x6^2*x8^2+6172*x1*x7*x8^2+28507*x2*x7*x8^2+17634*x3*x7*x8^2+17785*x4*x7*x8^2+13608*x5*x7*x8^2+13933*x6*x7*x8^2+28297*x7^2*x8^2+7722*x1*x8^3+1963*x2*x8^3+2038*x3*x8^3+10128*x4*x8^3+14898*x5*x8^3+11354*x6*x8^3+30337*x7*x8^3+31080*x8^4+7674*x3*x5*x6+5780*x4*x5*x6+26689*x5^2*x6+5412*x1*x6^2+2550*x2*x6^2+9882*x3*x6^2+25603*x4*x6^2+19275*x5*x6^2+21793*x6^3+4180*x2*x4*x7+4954*x1*x5*x7+7587*x2*x5*x7+13700*x3*x5*x7+11567*x4*x5*x7+3225*x5^2*x7+14267*x1*x6*x7+14389*x2*x6*x7+27282*x3*x6*x7+11260*x4*x6*x7+31084*x5*x6*x7+8360*x6^2*x7+6745*x1*x7^2+10425*x2*x7^2+22847*x3*x7^2+17788*x4*x7^2+24683*x5*x7^2+1661*x6*x7^2+12736*x7^3+26663*x2*x4*x8+3122*x4^2*x8+2389*x1*x5*x8+21616*x2*x5*x8+5354*x3*x5*x8+8916*x4*x5*x8+4797*x5^2*x8+24563*x1*x6*x8+26489*x2*x6*x8+15237*x3*x6*x8+5673*x4*x6*x8+29342*x5*x6*x8+7499*x6^2*x8+27031*x1*x7*x8+11847*x2*x7*x8+6342*x3*x7*x8+17274*x4*x7*x8+14770*x5*x7*x8+6642*x6*x7*x8+11398*x7^2*x8+11929*x1*x8^2+16194*x2*x8^2+7164*x3*x8^2+8234*x4*x8^2+17502*x5*x8^2+18835*x6*x8^2+15334*x7*x8^2+14557*x8^3+7359*x2*x4+9619*x4^2+1035*x1*x5+22334*x2*x5+1040*x3*x5+7691*x4*x5+27451*x5^2+18663*x1*x6+25168*x2*x6+2261*x3*x6+29406*x4*x6+25583*x5*x6+16114*x6^2+18549*x1*x7+8194*x2*x7+31231*x3*x7+16034*x4*x7+16229*x5*x7+2194*x6*x7+12877*x7^2+24607*x1*x8+29884*x2*x8+18005*x3*x8+17618*x4*x8+23709*x5*x8+3432*x6*x8+4002*x7*x8+13313*x8^2+15488*x1+27116*x2+20977*x3+12407*x4+19519*x5+20862*x6+12377*x7+24636*x8+6492
+1*x5^2*x6^2+10443*x5^2*x7^2+29836*x1*x6*x7^2+27932*x2*x6*x7^2+2386*x3*x6*x7^2+23712*x4*x6*x7^2+14173*x5*x6*x7^2+7652*x6^2*x7^2+4566*x1*x7^3+24201*x2*x7^3+6403*x3*x7^3+29726*x4*x7^3+15239*x5*x7^3+20956*x6*x7^3+21010*x7^4+1027*x3*x5*x6*x8+5217*x4*x5*x6*x8+14829*x5^2*x6*x8+27338*x1*x6^2*x8+10674*x2*x6^2*x8+3400*x3*x6^2*x8+11546*x4*x6^2*x8+2341*x5*x6^2*x8+16605*x6^3*x8+2716*x2*x4*x7*x8+27510*x1*x5*x7*x8+364*x2*x5*x7*x8+13221*x3*x5*x7*x8+5152*x4*x5*x7*x8+3306*x5^2*x7*x8+14248*x1*x6*x7*x8+29144*x2*x6*x7*x8+14832*x3*x6*x7*x8+19396*x4*x6*x7*x8+15584*x5*x6*x7*x8+27466*x6^2*x7*x8+10817*x1*x7^2*x8+12162*x2*x7^2*x8+24460*x3*x7^2*x8+15638*x4*x7^2*x8+39*x5*x7^2*x8+22271*x6*x7^2*x8+26827*x7^3*x8+28475*x2*x4*x8^2+13108*x4^2*x8^2+5395*x1*x5*x8^2+7344*x2*x5*x8^2+29807*x3*x5*x8^2+17308*x4*x5*x8^2+27760*x5^2*x8^2+25486*x1*x6*x8^2+5704*x2*x6*x8^2+6996*x3*x6*x8^2+29559*x4*x6*x8^2+23494*x5*x6*x8^2+21553*x6^2*x8^2+30207*x1*x7*x8^2+17956*x2*x7*x8^2+27131*x3*x7*x8^2+6872*x4*x7*x8^2+11182*x5*x7*x8^2+13475*x6*x7*x8^2+18445*x7^2*x8^2+10240*x1*x8^3+2679*x2*x8^3+21358*x3*x8^3+13659*x4*x8^3+22351*x5*x8^3+14705*x6*x8^3+17343*x7*x8^3+28340*x8^4+28170*x3*x5*x6+1972*x4*x5*x6+23762*x5^2*x6+28093*x1*x6^2+6021*x2*x6^2+17733*x3*x6^2+22892*x4*x6^2+17590*x5*x6^2+4494*x6^3+25980*x2*x4*x7+2176*x1*x5*x7+1215*x2*x5*x7+23495*x3*x5*x7+5620*x4*x5*x7+3033*x5^2*x7+28634*x1*x6*x7+20305*x2*x6*x7+16136*x3*x6*x7+6339*x4*x6*x7+23327*x5*x6*x7+27253*x6^2*x7+6969*x1*x7^2+20009*x2*x7^2+1767*x3*x7^2+14738*x4*x7^2+28262*x5*x7^2+8180*x6*x7^2+2511*x7^3+12305*x2*x4*x8+10703*x4^2*x8+5910*x1*x5*x8+21848*x2*x5*x8+27838*x3*x5*x8+22549*x4*x5*x8+24944*x5^2*x8+15931*x1*x6*x8+4871*x2*x6*x8+29094*x3*x6*x8+21278*x4*x6*x8+10791*x5*x6*x8+23318*x6^2*x8+15464*x1*x7*x8+3774*x2*x7*x8+24170*x3*x7*x8+15489*x4*x7*x8+15537*x5*x7*x8+89*x6*x7*x8+17105*x7^2*x8+22191*x1*x8^2+24163*x2*x8^2+24246*x3*x8^2+21178*x4*x8^2+11638*x5*x8^2+4866*x6*x8^2+2876*x7*x8^2+18120*x8^3+19986*x2*x4+29164*x4^2+6505*x1*x5+24982*x2*x5+12507*x3*x5+22371*x4*x5+24876*x5^2+1295*x1*x6+28950*x2*x6+2289*x3*x6+2284*x4*x6+8168*x5*x6+14296*x6^2+4571*x1*x7+200*x2*x7+20877*x3*x7+31824*x4*x7+26332*x5*x7+29909*x6*x7+27650*x7^2+31255*x1*x8+6127*x2*x8+26851*x3*x8+15534*x4*x8+1409*x5*x8+28582*x6*x8+20170*x7*x8+28605*x8^2+21265*x1+27534*x2+7872*x3+12917*x4+18524*x5+4029*x6+1901*x7+15304*x8+2681
+1*x4*x5*x6^2+31410*x5^2*x7^2+14344*x1*x6*x7^2+2759*x2*x6*x7^2+26138*x3*x6*x7^2+31541*x4*x6*x7^2+17718*x5*x6*x7^2+16645*x6^2*x7^2+9111*x1*x7^3+7930*x2*x7^3+16475*x3*x7^3+11547*x4*x7^3+9189*x5*x7^3+18091*x6*x7^3+25629*x7^4+30670*x3*x5*x6*x8+14139*x4*x5*x6*x8+9473*x5^2*x6*x8+31888*x1*x6^2*x8+20367*x2*x6^2*x8+15623*x3*x6^2*x8+4237*x4*x6^2*x8+4111*x5*x6^2*x8+19517*x6^3*x8+10962*x2*x4*x7*x8+29198*x1*x5*x7*x8+3567*x2*x5*x7*x8+6638*x3*x5*x7*x8+3513*x4*x5*x7*x8+16700*x5^2*x7*x8+7090*x1*x6*x7*x8+7092*x2*x6*x7*x8+8665*x3*x6*x7*x8+6734*x4*x6*x7*x8+11823*x5*x6*x7*x8+16813*x6^2*x7*x8+10663*x1*x7^2*x8+6558*x2*x7^2*x8+28314*x3*x7^2*x8+4583*x4*x7^2*x8+6072*x5*x7^2*x8+12375*x6*x7^2*x8+21346*x7^3*x8+7610*x2*x4*x8^2+28266*x4^2*x8^2+14593*x1*x5*x8^2+17047*x2*x5*x8^2+29395*x3*x5*x8^2+8216*x4*x5*x8^2+21021*x5^2*x8^2+7142*x1*x6*x8^2+28251*x2*x6*x8^2+17721*x3*x6*x8^2+30928*x4*x6*x8^2+3872*x5*x6*x8^2+13613*x6^2*x8^2+23276*x1*x7*x8^2+18840*x2*x7*x8^2+9685*x3*x7*x8^2+2579*x4*x7*x8^2+1703*x5*x7*x8^2+7595*x6*x7*x8^2+9234*x7^2*x8^2+10690*x1*x8^3+5012*x2*x8^3+16535*x3*x8^3+6468*x4*x8^3+13572*x5*x8^3+6402*x6*x8^3+16506*x7*x8^3+17287*x8^4+31347*x3*x5*x6+12028*x4*x5*x6+19639*x5^2*x6+19689*x1*x6^2+21626*x2*x6^2+8883*x3*x6^2+1938*x4*x6^2+22921*x5*x6^2+1360*x6^3+31119*x2*x4*x7+11366*x1*x5*x7+4962*x2*x5*x7+12257*x3*x5*x7+28688*x4*x5*x7+26272*x5^2*x7+28372*x1*x6*x7+24490*x2*x6*x7+4619*x3*x6*x7+21783*x4*x6*x7+2293*x5*x6*x7+26558*x6^2*x7+3335*x1*x7^2+11231*x2*x7^2+28835*x3*x7^2+8461*x4*x7^2+5650*x5*x7^2+6676*x6*x7^2+11699*x7^3+11067*x2*x4*x8+25038*x4^2*x8+31062*x1*x5*x8+5550*x2*x5*x8+30719*x3*x5*x8+12019*x4*x5*x8+6254*x5^2*x8+41*x1*x6*x8+3863*x2*x6*x8+2605*x3*x6*x8+3352*x4*x6*x8+4637*x5*x6*x8+4657*x6^2*x8+5867*x1*x7*x8+26132*x2*x7*x8+11975*x3*x7*x8+5735*x4*x7*x8+9265*x5*x7*x8+20088*x6*x7*x8+342*x7^2*x8+7489*x1*x8^2+19263*x2*x8^2+26043*x3*x8^2+17101*x4*x8^2+14516*x5*x8^2+15656*x6*x8^2+15776*x7*x8^2+31348*x8^3+30968*x2*x4+16090*x4^2+5915*x1*x5+30822*x2*x5+23433*x3*x5+25045*x4*x5+6735*x5^2+13074*x1*x6+13176*x2*x6+15082*x3*x6+22961*x4*x6+2210*x5*x6+3938*x6^2+4073*x1*x7+28799*x2*x7+12243*x3*x7+24374*x4*x7+15762*x5*x7+21278*x6*x7+30980*x7^2+26878*x1*x8+26761*x2*x8+9374*x3*x8+11744*x4*x8+7041*x5*x8+9723*x6*x8+22321*x7*x8+12999*x8^2+7447*x1+21935*x2+13518*x3+29141*x4+26845*x5+10184*x6+20435*x7+19198*x8+4837
+1*x3*x5*x6^2+26900*x5^2*x7^2+5875*x1*x6*x7^2+31098*x2*x6*x7^2+19790*x3*x6*x7^2+29158*x4*x6*x7^2+15306*x5*x6*x7^2+858*x6^2*x7^2+7920*x1*x7^3+24486*x2*x7^3+500*x3*x7^3+3377*x4*x7^3+10858*x5*x7^3+5638*x6*x7^3+5422*x7^4+24327*x3*x5*x6*x8+11787*x4*x5*x6*x8+30980*x5^2*x6*x8+15161*x1*x6^2*x8+28688*x2*x6^2*x8+9627*x3*x6^2*x8+6660*x4*x6^2*x8+5478*x5*x6^2*x8+3071*x6^3*x8+16387*x2*x4*x7*x8+20354*x1*x5*x7*x8+22761*x2*x5*x7*x8+2468*x3*x5*x7*x8+8045*x4*x5*x7*x8+6491*x5^2*x7*x8+30960*x1*x6*x7*x8+12157*x2*x6*x7*x8+18946*x3*x6*x7*x8+31775*x4*x6*x7*x8+15758*x5*x6*x7*x8+11667*x6^2*x7*x8+599*x1*x7^2*x8+6195*x2*x7^2*x8+3204*x3*x7^2*x8+27545*x4*x7^2*x8+27546*x5*x7^2*x8+17625*x6*x7^2*x8+13701*x7^3*x8+2325*x2*x4*x8^2+1876*x4^2*x8^2+28683*x1*x5*x8^2+6230*x2*x5*x8^2+13143*x3*x5*x8^2+9160*x4*x5*x8^2+9163*x5^2*x8^2+7670*x1*x6*x8^2+15662*x2*x6*x8^2+16146*x3*x6*x8^2+8980*x4*x6*x8^2+23285*x5*x6*x8^2+25732*x6^2*x8^2+3256*x1*x7*x8^2+18196*x2*x7*x8^2+5847*x3*x7*x8^2+30902*x4*x7*x8^2+4879*x5*x7*x8^2+18482*x6*x7*x8^2+6660*x7^2*x8^2+31475*x1*x8^3+13497*x2*x8^3+4559*x3*x8^3+16253*x4*x8^3+414*x5*x8^3+3428*x6*x8^3+28566*x7*x8^3+8660*x8^4+25005*x3*x5*x6+6545*x4*x5*x6+2900*x5^2*x6+28249*x1*x6^2+13324*x2*x6^2+13955*x3*x6^2+18470*x4*x6^2+10054*x5*x6^2+29966*x6^3+5166*x2*x4*x7+15370*x1*x5*x7+27586*x2*x5*x7+9304*x3*x5*x7+17667*x4*x5*x7+4639*x5^2*x7+30871*x1*x6*x7+19877*x2*x6*x7+25966*x3*x6*x7+30229*x4*x6*x7+13111*x5*x6*x7+5864*x6^2*x7+30425*x1*x7^2+15727*x2*x7^2+5866*x3*x7^2+6006*x4*x7^2+10548*x5*x7^2+18029*x6*x7^2+12744*x7^3+11057*x2*x4*x8+30719*x4^2*x8+11603*x1*x5*x8+7668*x2*x5*x8+8031*x3*x5*x8+22486*x4*x5*x8+3466*x5^2*x8+128*x1*x6*x8+5453*x2*x6*x8+23380*x3*x6*x8+1024*x4*x6*x8+27823*x5*x6*x8+2104*x6^2*x8+29298*x1*x7*x8+15824*x2*x7*x8+24155*x3*x7*x8+17631*x4*x7*x8+26054*x5*x7*x8+21242*x6*x7*x8+10833*x7^2*x8+1302*x1*x8^2+29465*x2*x8^2+7585*x3*x8^2+25843*x4*x8^2+16449*x5*x8^2+26351*x6*x8^2+23276*x7*x8^2+11327*x8^3+18039*x2*x4+26467*x4^2+22181*x1*x5+16192*x2*x5+5544*x3*x5+8325*x4*x5+23947*x5^2+15729*x1*x6+25180*x2*x6+4856*x3*x6+11998*x4*x6+28517*x5*x6+19238*x6^2+14869*x1*x7+9407*x2*x7+18743*x3*x7+3387*x4*x7+25550*x5*x7+22332*x6*x7+10491*x7^2+25548*x1*x8+29319*x2*x8+18297*x3*x8+2088*x4*x8+21555*x5*x8+2082*x6*x8+25165*x7*x8+10577*x8^2+23782*x1+20029*x2+4148*x3+13475*x4+15363*x5+16065*x6+19253*x7+16580*x8+15898
+1*x7^4*x8+29651*x3*x5*x6*x8^2+14284*x4*x5*x6*x8^2+4067*x5^2*x6*x8^2+7175*x1*x6^2*x8^2+27042*x2*x6^2*x8^2+21946*x3*x6^2*x8^2+20271*x4*x6^2*x8^2+22088*x5*x6^2*x8^2+29573*x6^3*x8^2+81*x2*x4*x7*x8^2+5365*x1*x5*x7*x8^2+2781*x2*x5*x7*x8^2+10856*x3*x5*x7*x8^2+12507*x4*x5*x7*x8^2+25717*x5^2*x7*x8^2+4239*x1*x6*x7*x8^2+6350*x2*x6*x7*x8^2+2600*x3*x6*x7*x8^2+12834*x4*x6*x7*x8^2+12982*x5*x6*x7*x8^2+6997*x6^2*x7*x8^2+5230*x1*x7^2*x8^2+4980*x2*x7^2*x8^2+26277*x3*x7^2*x8^2+25545*x4*x7^2*x8^2+17836*x5*x7^2*x8^2+3551*x6*x7^2*x8^2+14383*x7^3*x8^2+5354*x2*x4*x8^3+7847*x4^2*x8^3+7499*x1*x5*x8^3+17205*x2*x5*x8^3+31774*x3*x5*x8^3+30762*x4*x5*x8^3+18655*x5^2*x8^3+9294*x1*x6*x8^3+6725*x2*x6*x8^3+1571*x3*x6*x8^3+21812*x4*x6*x8^3+23715*x5*x6*x8^3+16168*x6^2*x8^3+8182*x1*x7*x8^3+3889*x2*x7*x8^3+6415*x3*x7*x8^3+29093*x4*x7*x8^3+27854*x5*x7*x8^3+16938*x6*x7*x8^3+28159*x7^2*x8^3+3170*x1*x8^4+6598*x2*x8^4+10580*x3*x8^4+12627*x4*x8^4+19101*x5*x8^4+26315*x6*x8^4+21649*x7*x8^4+22590*x8^5+8612*x5^2*x7^2+3881*x1*x6*x7^2+8270*x2*x6*x7^2+18257*x3*x6*x7^2+7643*x4*x6*x7^2+23888*x5*x6*x7^2+21204*x6^2*x7^2+30115*x1*x7^3+18672*x2*x7^3+4215*x3*x7^3+7001*x4*x7^3+19748*x5*x7^3+7555*x6*x7^3+23776*x7^4+28223*x3*x5*x6*x8+23491*x4*x5*x6*x8+18868*x5^2*x6*x8+25372*x1*x6^2*x8+6986*x2*x6^2*x8+730*x3*x6^2*x8+22127*x4*x6^2*x8+12799*x5*x6^2*x8+31364*x6^3*x8+1605*x2*x4*x7*x8+27130*x1*x5*x7*x8+15631*x2*x5*x7*x8+31041*x3*x5*x7*x8+23022*x4*x5*x7*x8+29659*x5^2*x7*x8+7673*x1*x6*x7*x8+7194*x2*x6*x7*x8+9932*x3*x6*x7*x8+3146*x4*x6*x7*x8+4580*x5*x6*x7*x8+17306*x6^2*x7*x8+25618*x1*x7^2*x8+13635*x2*x7^2*x8+330*x3*x7^2*x8+15949*x4*x7^2*x8+4046*x5*x7^2*x8+6411*x6*x7^2*x8+24834*x7^3*x8+30319*x2*x4*x8^2+22067*x4^2*x8^2+16291*x1*x5*x8^2+13945*x2*x5*x8^2+27932*x3*x5*x8^2+2542*x4*x5*x8^2+28509*x5^2*x8^2+19137*x1*x6*x8^2+22987*x2*x6*x8^2+10265*x3*x6*x8^2+19059*x4*x6*x8^2+8746*x5*x6*x8^2+18208*x6^2*x8^2+24806*x1*x7*x8^2+16423*x2*x7*x8^2+1863*x3*x7*x8^2+5569*x4*x7*x8^2+9400*x5*x7*x8^2+13084*x6*x7*x8^2+7752*x7^2*x8^2+28684*x1*x8^3+31530*x2*x8^3+2830*x3*x8^3+25036*x4*x8^3+6550*x5*x8^3+19513*x6*x8^3+8480*x7*x8^3+2900*x8^4+17878*x3*x5*x6+5804*x4*x5*x6+22399*x5^2*x6+4827*x1*x6^2+11492*x2*x6^2+7205*x3*x6^2+23893*x4*x6^2+7607*x5*x6^2+31777*x6^3+31606*x2*x4*x7+17232*x1*x5*x7+28191*x2*x5*x7+11684*x3*x5*x7+30139*x4*x5*x7+12394*x5^2*x7+14687*x1*x6*x7+974*x2*x6*x7+31025*x3*x6*x7+12834*x4*x6*x7+9446*x5*x6*x7+27852*x6^2*x7+15650*x1*x7^2+20302*x2*x7^2+12823*x3*x7^2+12213*x4*x7^2+524*x5*x7^2+12404*x6*x7^2+26890*x7^3+11071*x2*x4*x8+3562*x4^2*x8+27097*x1*x5*x8+29157*x2*x5*x8+2349*x3*x5*x8+22392*x4*x5*x8+22518*x5^2*x8+1335*x1*x6*x8+22197*x2*x6*x8+15671*x3*x6*x8+24491*x4*x6*x8+23392*x5*x6*x8+24870*x6^2*x8+1793*x1*x7*x8+7702*x2*x7*x8+27748*x3*x7*x8+5732*x4*x7*x8+27779*x5*x7*x8+11401*x6*x7*x8+14150*x7^2*x8+5982*x1*x8^2+10549*x2*x8^2+18962*x3*x8^2+8451*x4*x8^2+13344*x5*x8^2+12804*x6*x8^2+30541*x7*x8^2+2080*x8^3+626*x2*x4+18547*x4^2+26520*x1*x5+437*x2*x5+17403*x3*x5+26599*x4*x5+23358*x5^2+879*x1*x6+10726*x2*x6+22244*x3*x6+6469*x4*x6+26072*x5*x6+17176*x6^2+15241*x1*x7+26459*x2*x7+3582*x3*x7+14536*x4*x7+19699*x5*x7+21492*x6*x7+28439*x7^2+1962*x1*x8+3496*x2*x8+24768*x3*x8+9692*x4*x8+20646*x5*x8+18843*x6*x8+20325*x7*x8+14935*x8^2+5730*x1+10826*x2+9688*x3+29441*x4+11495*x5+4140*x6+1122*x7+12005*x8+16643
+1*x6*x7^3*x8+31239*x3*x5*x6*x8^2+7687*x4*x5*x6*x8^2+31647*x5^2*x6*x8^2+30762*x1*x6^2*x8^2+2132*x2*x6^2*x8^2+3853*x3*x6^2*x8^2+7074*x4*x6^2*x8^2+8747*x5*x6^2*x8^2+17955*x6^3*x8^2+18897*x2*x4*x7*x8^2+26300*x1*x5*x7*x8^2+19432*x2*x5*x7*x8^2+30384*x3*x5*x7*x8^2+18182*x4*x5*x7*x8^2+13353*x5^2*x7*x8^2+15397*x1*x6*x7*x8^2+6652*x2*x6*x7*x8^2+30752*x3*x6*x7*x8^2+18889*x4*x6*x7*x8^2+9371*x5*x6*x7*x8^2+22822*x6^2*x7*x8^2+9563*x1*x7^2*x8^2+22355*x2*x7^2*x8^2+2316*x3*x7^2*x8^2+6930*x4*x7^2*x8^2+25054*x5*x7^2*x8^2+27361*x6*x7^2*x8^2+26766*x7^3*x8^2+16693*x2*x4*x8^3+21243*x4^2*x8^3+28521*x1*x5*x8^3+31531*x2*x5*x8^3+29632*x3*x5*x8^3+30898*x4*x5*x8^3+357*x5^2*x8^3+26353*x1*x6*x8^3+28488*x2*x6*x8^3+9360*x3*x6*x8^3+1584*x4*x6*x8^3+31700*x5*x6*x8^3+25136*x6^2*x8^3+10718*x1*x7*x8^3+7608*x2*x7*x8^3+31557*x3*x7*x8^3+26389*x4*x7*x8^3+26122*x5*x7*x8^3+30345*x6*x7*x8^3+1397*x7^2*x8^3+31636*x1*x8^4+21670*x2*x8^4+27191*x3*x8^4+30843*x4*x8^4+18650*x5*x8^4+23342*x6*x8^4+19888*x7*x8^4+11098*x8^5+25307*x5^2*x7^2+25625*x1*x6*x7^2+18396*x2*x6*x7^2+21550*x3*x6*x7^2+2682*x4*x6*x7^2+21300*x5*x6*x7^2+10548*x6^2*x7^2+30230*x1*x7^3+26777*x2*x7^3+5078*x3*x7^3+1498*x4*x7^3+19776*x5*x7^3+5317*x6*x7^3+27464*x7^4+9457*x3*x5*x6*x8+7292*x4*x5*x6*x8+26654*x5^2*x6*x8+5859*x1*x6^2*x8+6927*x2*x6^2*x8+26264*x3*x6^2*x8+730*x4*x6^2*x8+3384*x5*x6^2*x8+6998*x6^3*x8+6962*x2*x4*x7*x8+10357*x1*x5*x7*x8+14944*x2*x5*x7*x8+11963*x3*x5*x7*x8+20432*x4*x5*x7*x8+9611*x5^2*x7*x8+19711*x1*x6*x7*x8+11352*x2*x6*x7*x8+591*x3*x6*x7*x8+17362*x4*x6*x7*x8+7294*x5*x6*x7*x8+27041*x6^2*x7*x8+868*x1*x7^2*x8+6319*x2*x7^2*x8+25318*x3*x7^2*x8+26817*x4*x7^2*x8+5013*x5*x7^2*x8+20270*x6*x7^2*x8+31448*x7^3*x8+18420*x2*x4*x8^2+22280*x4^2*x8^2+3120*x1*x5*x8^2+9818*x2*x5*x8^2+19822*x3*x5*x8^2+18162*x4*x5*x8^2+30244*x5^2*x8^2+12014*x1*x6*x8^2+6225*x2*x6*x8^2+20260*x3*x6*x8^2+24283*x4*x6*x8^2+4966*x5*x6*x8^2+23580*x6^2*x8^2+7074*x1*x7*x8^2+1853*x2*x7*x8^2+2156*x3*x7*x8^2+19001*x4*x7*x8^2+19165*x5*x7*x8^2+24839*x6*x7*x8^2+24757*x7^2*x8^2+15858*x1*x8^3+16824*x2*x8^3+12866*x3*x8^3+16502*x4*x8^3+15063*x5*x8^3+19632*x6*x8^3+812*x7*x8^3+5005*x8^4+3608*x3*x5*x6+4981*x4*x5*x6+20398*x5^2*x6+10478*x1*x6^2+21039*x2*x6^2+30887*x3*x6^2+21205*x4*x6^2+15739*x5*x6^2+19340*x6^3+13647*x2*x4*x7+17660*x1*x5*x7+1796*x2*x5*x7+14771*x3*x5*x7+30815*x4*x5*x7+30023*x5^2*x7+1954*x1*x6*x7+9776*x2*x6*x7+9249*x3*x6*x7+29721*x4*x6*x7+26205*x5*x6*x7+30042*x6^2*x7+19643*x1*x7^2+269*x2*x7^2+28235*x3*x7^2+29864*x4*x7^2+7811*x5*x7^2+7774*x6*x7^2+31309*x7^3+27398*x2*x4*x8+27598*x4^2*x8+8599*x1*x5*x8+5248*x2*x5*x8+3416*x3*x5*x8+31391*x4*x5*x8+16171*x5^2*x8+27986*x1*x6*x8+29942*x2*x6*x8+16366*x3*x6*x8+19620*x4*x6*x8+1478*x5*x6*x8+20972*x6^2*x8+4592*x1*x7*x8+10765*x2*x7*x8+5202*x3*x7*x8+10938*x4*x7*x8+17869*x5*x7*x8+14564*x6*x7*x8+24286*x7^2*x8+21254*x1*x8^2+28250*x2*x8^2+6414*x3*x8^2+26119*x4*x8^2+18273*x5*x8^2+31396*x6*x8^2+2011*x7*x8^2+31190*x8^3+19926*x2*x4+19551*x4^2+21878*x1*x5+30152*x2*x5+21747*x3*x5+30454*x4*x5+23246*x5^2+8187*x1*x6+138*x2*x6+7739*x3*x6+11726*x4*x6+17383*x5*x6+23280*x6^2+5540*x1*x7+11925*x2*x7+29199*x3*x7+19294*x4*x7+3588*x5*x7+25399*x6*x7+19386*x7^2+3790*x1*x8+4084*x2*x8+10544*x3*x8+31361*x4*x8+3304*x5*x8+29925*x6*x8+1550*x7*x8+9322*x8^2+25402*x1+13832*x2+30877*x3+17875*x4+18840*x5+1701*x6+24950*x7+17411*x8+17481
+1*x5*x7^3*x8+13780*x3*x5*x6*x8^2+12139*x4*x5*x6*x8^2+2836*x5^2*x6*x8^2+1025*x1*x6^2*x8^2+16946*x2*x6^2*x8^2+27325*x3*x6^2*x8^2+13419*x4*x6^2*x8^2+25572*x5*x6^2*x8^2+7915*x6^3*x8^2+8856*x2*x4*x7*x8^2+15089*x1*x5*x7*x8^2+8692*x2*x5*x7*x8^2+24456*x3*x5*x7*x8^2+11930*x4*x5*x7*x8^2+16578*x5^2*x7*x8^2+15230*x1*x6*x7*x8^2+6868*x2*x6*x7*x8^2+109*x3*x6*x7*x8^2+16874*x4*x6*x7*x8^2+18952*x5*x6*x7*x8^2+19123*x6^2*x7*x8^2+102*x1*x7^2*x8^2+22834*x2*x7^2*x8^2+10347*x3*x7^2*x8^2+29708*x4*x7^2*x8^2+2576*x5*x7^2*x8^2+16718*x6*x7^2*x8^2+17899*x7^3*x8^2+16577*x2*x4*x8^3+22984*x4^2*x8^3+15127*x1*x5*x8^3+21473*x2*x5*x8^3+30093*x3*x5*x8^3+11494*x4*x5*x8^3+17439*x5^2*x8^3+15130*x1*x6*x8^3+24993*x2*x6*x8^3+31690*x3*x6*x8^3+11930*x4*x6*x8^3+6060*x5*x6*x8^3+11214*x6^2*x8^3+5552*x1*x7*x8^3+4520*x2*x7*x8^3+16712*x3*x7*x8^3+16355*x4*x7*x8^3+4277*x5*x7*x8^3+21594*x6*x7*x8^3+13736*x7^2*x8^3+8264*x1*x8^4+13875*x2*x8^4+1428*x3*x8^4+5665*x4*x8^4+15768*x5*x8^4+10684*x6*x8^4+2951*x7*x8^4+9417*x8^5+20110*x5^2*x7^2+25209*x1*x6*x7^2+17773*x2*x6*x7^2+2189*x3*x6*x7^2+4447*x4*x6*x7^2+452*x5*x6*x7^2+16920*x6^2*x7^2+4628*x1*x7^3+18323*x2*x7^3+22708*x3*x7^3+6585*x4*x7^3+14595*x5*x7^3+17706*x6*x7^3+18045*x7^4+26137*x3*x5*x6*x8+28140*x4*x5*x6*x8+17937*x5^2*x6*x8+15454*x1*x6^2*x8+6922*x2*x6^2*x8+9528*x3*x6^2*x8+11068*x4*x6^2*x8+13607*x5*x6^2*x8+21759*x6^3*x8+25186*x2*x4*x7*x8+2336*x1*x5*x7*x8+23514*x2*x5*x7*x8+2306*x3*x5*x7*x8+29162*x4*x5*x7*x8+13594*x5^2*x7*x8+10132*x1*x6*x7*x8+24610*x2*x6*x7*x8+22705*x3*x6*x7*x8+16282*x4*x6*x7*x8+29039*x5*x6*x7*x8+3173*x6^2*x7*x8+15500*x1*x7^2*x8+19237*x2*x7^2*x8+30986*x3*x7^2*x8+7477*x4*x7^2*x8+24768*x5*x7^2*x8+19323*x6*x7^2*x8+7419*x7^3*x8+18966*x2*x4*x8^2+16055*x4^2*x8^2+30268*x1*x5*x8^2+5314*x2*x5*x8^2+14922*x3*x5*x8^2+24174*x4*x5*x8^2+21856*x5^2*x8^2+30322*x1*x6*x8^2+27518*x2*x6*x8^2+8302*x3*x6*x8^2+3484*x4*x6*x8^2+9172*x5*x6*x8^2+3532*x6^2*x8^2+24794*x1*x7*x8^2+3487*x2*x7*x8^2+18730*x3*x7*x8^2+9654*x4*x7*x8^2+5892*x5*x7*x8^2+5914*x6*x7*x8^2+13336*x7^2*x8^2+20227*x1*x8^3+30385*x2*x8^3+15843*x3*x8^3+9558*x4*x8^3+31661*x5*x8^3+26414*x6*x8^3+17218*x7*x8^3+5211*x8^4+8099*x3*x5*x6+9434*x4*x5*x6+15153*x5^2*x6+2935*x1*x6^2+18573*x2*x6^2+18969*x3*x6^2+23310*x4*x6^2+8923*x5*x6^2+20130*x6^3+3942*x2*x4*x7+26028*x1*x5*x7+1817*x2*x5*x7+16458*x3*x5*x7+9116*x4*x5*x7+21991*x5^2*x7+8900*x1*x6*x7+11688*x2*x6*x7+16841*x3*x6*x7+1764*x4*x6*x7+12109*x5*x6*x7+30482*x6^2*x7+9370*x1*x7^2+10963*x2*x7^2+16966*x3*x7^2+3512*x4*x7^2+20163*x5*x7^2+7499*x6*x7^2+9875*x7^3+9013*x2*x4*x8+25453*x4^2*x8+8173*x1*x5*x8+31785*x2*x5*x8+5614*x3*x5*x8+10953*x4*x5*x8+25701*x5^2*x8+28427*x1*x6*x8+21519*x2*x6*x8+6213*x3*x6*x8+8722*x4*x6*x8+1083*x5*x6*x8+5338*x6^2*x8+6067*x1*x7*x8+5022*x2*x7*x8+23687*x3*x7*x8+17106*x4*x7*x8+26127*x5*x7*x8+27893*x6*x7*x8+12185*x7^2*x8+16830*x1*x8^2+20593*x2*x8^2+13428*x3*x8^2+1854*x4*x8^2+17187*x5*x8^2+3842*x6*x8^2+20821*x7*x8^2+11360*x8^3+18465*x2*x4+28993*x4^2+4062*x1*x5+7636*x2*x5+4697*x3*x5+12715*x4*x5+29059*x5^2+8358*x1*x6+6518*x2*x6+11501*x3*x6+5558*x4*x6+12067*x5*x6+30908*x6^2+15856*x1*x7+31883*x2*x7+10083*x3*x7+15946*x4*x7+18512*x5*x7+11437*x6*x7+1488*x7^2+17264*x1*x8+8569*x2*x8+4207*x3*x8+31753*x4*x8+19969*x5*x8+3526*x6*x8+27054*x7*x8+16401*x8^2+3172*x1+5295*x2+30891*x3+8274*x4+16811*x5+27609*x6+14445*x7+20186*x8+1792
+1*x4*x7^3*x8+11946*x3*x5*x6*x8^2+10962*x4*x5*x6*x8^2+24150*x5^2*x6*x8^2+14392*x1*x6^2*x8^2+11974*x2*x6^2*x8^2+11028*x3*x6^2*x8^2+7825*x4*x6^2*x8^2+17699*x5*x6^2*x8^2+17391*x6^3*x8^2+26247*x2*x4*x7*x8^2+9409*x1*x5*x7*x8^2+9170*x2*x5*x7*x8^2+9819*x3*x5*x7*x8^2+9501*x4*x5*x7*x8^2+22890*x5^2*x7*x8^2+25156*x1*x6*x7*x8^2+25089*x2*x6*x7*x8^2+9667*x3*x6*x7*x8^2+2733*x4*x6*x7*x8^2+16032*x5*x6*x7*x8^2+17866*x6^2*x7*x8^2+14064*x1*x7^2*x8^2+27528*x2*x7^2*x8^2+18453*x3*x7^2*x8^2+26924*x4*x7^2*x8^2+3635*x5*x7^2*x8^2+23158*x6*x7^2*x8^2+21540*x7^3*x8^2+1682*x2*x4*x8^3+2500*x4^2*x8^3+5710*x1*x5*x8^3+28906*x2*x5*x8^3+27491*x3*x5*x8^3+31777*x4*x5*x8^3+10857*x5^2*x8^3+430*x1*x6*x8^3+6766*x2*x6*x8^3+20994*x3*x6*x8^3+26514*x4*x6*x8^3+13445*x5*x6*x8^3+2482*x6^2*x8^3+14674*x1*x7*x8^3+24538*x2*x7*x8^3+20469*x3*x7*x8^3+21223*x4*x7*x8^3+10123*x5*x7*x8^3+11149*x6*x7*x8^3+7182*x7^2*x8^3+15258*x1*x8^4+22092*x2*x8^4+18907*x3*x8^4+10586*x4*x8^4+18884*x5*x8^4+2721*x6*x8^4+27215*x7*x8^4+14504*x8^5+16248*x5^2*x7^2+13958*x1*x6*x7^2+30245*x2*x6*x7^2+27039*x3*x6*x7^2+3118*x4*x6*x7^2+1105*x5*x6*x7^2+20198*x6^2*x7^2+2620*x1*x7^3+31749*x2*x7^3+1854*x3*x7^3+1102*x4*x7^3+11619*x5*x7^3+10545*x6*x7^3+697*x7^4+26211*x3*x5*x6*x8+18715*x4*x5*x6*x8+15470*x5^2*x6*x8+23575*x1*x6^2*x8+25380*x2*x6^2*x8+24822*x3*x6^2*x8+12217*x4*x6^2*x8+3745*x5*x6^2*x8+13486*x6^3*x8+17132*x2*x4*x7*x8+1350*x1*x5*x7*x8+13392*x2*x5*x7*x8+5060*x3*x5*x7*x8+11336*x4*x5*x7*x8+2789*x5^2*x7*x8+18104*x1*x6*x7*x8+4811*x2*x6*x7*x8+14769*x3*x6*x7*x8+13442*x4*x6*x7*x8+17954*x5*x6*x7*x8+27244*x6^2*x7*x8+23380*x1*x7^2*x8+7098*x2*x7^2*x8+4270*x3*x7^2*x8+4854*x4*x7^2*x8+29773*x5*x7^2*x8+4481*x6*x7^2*x8+6336*x7^3*x8+26941*x2*x4*x8^2+800*x4^2*x8^2+89*x1*x5*x8^2+5876*x2*x5*x8^2+27599*x3*x5*x8^2+3478*x4*x5*x8^2+16401*x5^2*x8^2+2360*x1*x6*x8^2+21837*x2*x6*x8^2+20922*x3*x6*x8^2+14083*x4*x6*x8^2+25094*x5*x6*x8^2+29072*x6^2*x8^2+8846*x1*x7*x8^2+12701*x2*x7*x8^2+5036*x3*x7*x8^2+31372*x4*x7*x8^2+6340*x5*x7*x8^2+8096*x6*x7*x8^2+21160*x7^2*x8^2+13082*x1*x8^3+10685*x2*x8^3+10135*x3*x8^3+10064*x4*x8^3+2512*x5*x8^3+20715*x6*x8^3+22795*x7*x8^3+25160*x8^4+25645*x3*x5*x6+16969*x4*x5*x6+4601*x5^2*x6+23077*x1*x6^2+13920*x2*x6^2+6028*x3*x6^2+31610*x4*x6^2+25991*x5*x6^2+6004*x6^3+29748*x2*x4*x7+8351*x1*x5*x7+31453*x2*x5*x7+24769*x3*x5*x7+20348*x4*x5*x7+15268*x5^2*x7+23544*x1*x6*x7+3435*x2*x6*x7+29835*x3*x6*x7+13304*x4*x6*x7+8016*x5*x6*x7+14160*x6^2*x7+904*x1*x7^2+31649*x2*x7^2+21954*x3*x7^2+11869*x4*x7^2+16006*x5*x7^2+24825*x6*x7^2+26479*x7^3+29658*x2*x4*x8+27286*x4^2*x8+31773*x1*x5*x8+13390*x2*x5*x8+31492*x3*x5*x8+14237*x4*x5*x8+30584*x5^2*x8+19524*x1*x6*x8+26286*x2*x6*x8+12076*x3*x6*x8+5916*x4*x6*x8+15916*x5*x6*x8+23412*x6^2*x8+25634*x1*x7*x8+28081*x2*x7*x8+26933*x3*x7*x8+22712*x4*x7*x8+25777*x5*x7*x8+30745*x6*x7*x8+23173*x7^2*x8+13928*x1*x8^2+25120*x2*x8^2+29638*x3*x8^2+19871*x4*x8^2+6128*x5*x8^2+15207*x6*x8^2+10947*x7*x8^2+10273*x8^3+23166*x2*x4+21610*x4^2+21248*x1*x5+20487*x2*x5+20087*x3*x5+24878*x4*x5+8550*x5^2+18221*x1*x6+29365*x2*x6+13936*x3*x6+24351*x4*x6+10355*x5*x6+28392*x6^2+9296*x1*x7+24627*x2*x7+23955*x3*x7+27161*x4*x7+31263*x5*x7+25172*x6*x7+22740*x7^2+11616*x1*x8+27071*x2*x8+15183*x3*x8+21891*x4*x8+27647*x5*x8+4148*x6*x8+20124*x7*x8+134*x8^2+22920*x1+28173*x2+20042*x3+11253*x4+25224*x5+9159*x6+27144*x7+14284*x8+29047
+1*x3*x7^3*x8+12114*x3*x5*x6*x8^2+25029*x4*x5*x6*x8^2+16999*x5^2*x6*x8^2+12006*x1*x6^2*x8^2+18068*x2*x6^2*x8^2+5651*x3*x6^2*x8^2+26479*x4*x6^2*x8^2+1432*x5*x6^2*x8^2+9681*x6^3*x8^2+29834*x2*x4*x7*x8^2+20336*x1*x5*x7*x8^2+4464*x2*x5*x7*x8^2+25856*x3*x5*x7*x8^2+14573*x4*x5*x7*x8^2+2529*x5^2*x7*x8^2+15587*x1*x6*x7*x8^2+14392*x2*x6*x7*x8^2+22351*x3*x6*x7*x8^2+31850*x4*x6*x7*x8^2+24003*x5*x6*x7*x8^2+24581*x6^2*x7*x8^2+16429*x1*x7^2*x8^2+15278*x2*x7^2*x8^2+4041*x3*x7^2*x8^2+31679*x4*x7^2*x8^2+18927*x5*x7^2*x8^2+21357*x6*x7^2*x8^2+24344*x7^3*x8^2+18818*x2*x4*x8^3+21193*x4^2*x8^3+12802*x1*x5*x8^3+19516*x2*x5*x8^3+18488*x3*x5*x8^3+13550*x4*x5*x8^3+26556*x5^2*x8^3+6265*x1*x6*x8^3+10055*x2*x6*x8^3+1672*x3*x6*x8^3+14822*x4*x6*x8^3+31876*x5*x6*x8^3+4246*x6^2*x8^3+31453*x1*x7*x8^3+1573*x2*x7*x8^3+10946*x3*x7*x8^3+31857*x4*x7*x8^3+29200*x5*x7*x8^3+15821*x6*x7*x8^3+22592*x7^2*x8^3+2532*x1*x8^4+9180*x2*x8^4+9615*x3*x8^4+15188*x4*x8^4+18817*x5*x8^4+27095*x6*x8^4+17148*x7*x8^4+7739*x8^5+19751*x5^2*x7^2+29638*x1*x6*x7^2+20926*x2*x6*x7^2+2330*x3*x6*x7^2+6701*x4*x6*x7^2+6770*x5*x6*x7^2+22203*x6^2*x7^2+8917*x1*x7^3+5658*x2*x7^3+7176*x3*x7^3+28227*x4*x7^3+10531*x5*x7^3+6017*x6*x7^3+18163*x7^4+16526*x3*x5*x6*x8+20787*x4*x5*x6*x8+1673*x5^2*x6*x8+11955*x1*x6^2*x8+2621*x2*x6^2*x8+30871*x3*x6^2*x8+24707*x4*x6^2*x8+14358*x5*x6^2*x8+10905*x6^3*x8+11912*x2*x4*x7*x8+31079*x1*x5*x7*x8+7193*x2*x5*x7*x8+20129*x3*x5*x7*x8+19200*x4*x5*x7*x8+9992*x5^2*x7*x8+12113*x1*x6*x7*x8+20553*x2*x6*x7*x8+10478*x3*x6*x7*x8+26845*x4*x6*x7*x8+26762*x5*x6*x7*x8+20946*x6^2*x7*x8+17147*x1*x7^2*x8+9225*x2*x7^2*x8+22996*x3*x7^2*x8+31621*x4*x7^2*x8+9111*x5*x7^2*x8+29542*x6*x7^2*x8+5097*x7^3*x8+11706*x2*x4*x8^2+31037*x4^2*x8^2+24854*x1*x5*x8^2+647*x2*x5*x8^2+20092*x3*x5*x8^2+23095*x4*x5*x8^2+23246*x5^2*x8^2+16796*x1*x6*x8^2+7400*x2*x6*x8^2+21600*x3*x6*x8^2+31994*x4*x6*x8^2+13564*x5*x6*x8^2+30412*x6^2*x8^2+30685*x1*x7*x8^2+21498*x2*x7*x8^2+22567*x3*x7*x8^2+15553*x4*x7*x8^2+1940*x5*x7*x8^2+11560*x6*x7*x8^2+4959*x7^2*x8^2+19377*x1*x8^3+20788*x2*x8^3+19901*x3*x8^3+22641*x4*x8^3+25004*x5*x8^3+1364*x6*x8^3+28012*x7*x8^3+19408*x8^4+22013*x3*x5*x6+13382*x4*x5*x6+16773*x5^2*x6+18415*x1*x6^2+26172*x2*x6^2+26666*x3*x6^2+2919*x4*x6^2+24144*x5*x6^2+3211*x6^3+9061*x2*x4*x7+6620*x1*x5*x7+30623*x2*x5*x7+8722*x3*x5*x7+4696*x4*x5*x7+19057*x5^2*x7+22745*x1*x6*x7+22064*x2*x6*x7+2040*x3*x6*x7+5236*x4*x6*x7+22939*x5*x6*x7+21563*x6^2*x7+1260*x1*x7^2+14288*x2*x7^2+30639*x3*x7^2+29694*x4*x7^2+17142*x5*x7^2+5006*x6*x7^2+26020*x7^3+6563*x2*x4*x8+26006*x4^2*x8+17342*x1*x5*x8+8893*x2*x5*x8+8779*x3*x5*x8+15908*x4*x5*x8+31833*x5^2*x8+7529*x1*x6*x8+9687*x2*x6*x8+18137*x3*x6*x8+20427*x4*x6*x8+22940*x5*x6*x8+20698*x6^2*x8+29637*x1*x7*x8+15903*x2*x7*x8+22980*x3*x7*x8+17723*x4*x7*x8+4015*x5*x7*x8+17504*x6*x7*x8+25556*x7^2*x8+23793*x1*x8^2+3966*x2*x8^2+89*x3*x8^2+4880*x4*x8^2+27502*x5*x8^2+31317*x6*x8^2+12011*x7*x8^2+21114*x8^3+10826*x2*x4+4704*x4^2+5550*x1*x5+13811*x2*x5+13033*x3*x5+25041*x4*x5+17918*x5^2+11855*x1*x6+21627*x2*x6+15768*x3*x6+21727*x4*x6+19556*x5*x6+2803*x6^2+26416*x1*x7+14908*x2*x7+18864*x3*x7+8197*x4*x7+29213*x5*x7+6687*x6*x7+29842*x7^2+331*x1*x8+23219*x2*x8+13141*x3*x8+16640*x4*x8+10337*x5*x8+10328*x6*x8+1552*x7*x8+31735*x8^2+23386*x1+24948*x2+15190*x3+24989*x4+12490*x5+6615*x6+21568*x7+5489*x8+17661
+1*x2*x7^3*x8+6315*x3*x5*x6*x8^2+4986*x4*x5*x6*x8^2+15420*x5^2*x6*x8^2+24132*x1*x6^2*x8^2+25708*x2*x6^2*x8^2+16119*x3*x6^2*x8^2+22210*x4*x6^2*x8^2+23942*x5*x6^2*x8^2+22646*x6^3*x8^2+2912*x2*x4*x7*x8^2+11688*x1*x5*x7*x8^2+5443*x2*x5*x7*x8^2+26886*x3*x5*x7*x8^2+31089*x4*x5*x7*x8^2+16776*x5^2*x7*x8^2+31009*x1*x6*x7*x8^2+1953*x2*x6*x7*x8^2+23150*x3*x6*x7*x8^2+2510*x4*x6*x7*x8^2+4119*x5*x6*x7*x8^2+1433*x6^2*x7*x8^2+11961*x1*x7^2*x8^2+26462*x2*x7^2*x8^2+23517*x3*x7^2*x8^2+6033*x4*x7^2*x8^2+7464*x5*x7^2*x8^2+13291*x6*x7^2*x8^2+11763*x7^3*x8^2+11545*x2*x4*x8^3+29769*x4^2*x8^3+10858*x1*x5*x8^3+19660*x2*x5*x8^3+1121*x3*x5*x8^3+23071*x4*x5*x8^3+329*x5^2*x8^3+7107*x1*x6*x8^3+31841*x2*x6*x8^3+31736*x3*x6*x8^3+6721*x4*x6*x8^3+5218*x5*x6*x8^3+17867*x6^2*x8^3+19912*x1*x7*x8^3+20731*x2*x7*x8^3+23955*x3*x7*x8^3+15362*x4*x7*x8^3+10590*x5*x7*x8^3+5879*x6*x7*x8^3+14069*x7^2*x8^3+22898*x1*x8^4+18637*x2*x8^4+4997*x3*x8^4+13772*x4*x8^4+663*x5*x8^4+13276*x6*x8^4+4962*x7*x8^4+23373*x8^5+19298*x5^2*x7^2+28161*x1*x6*x7^2+18958*x2*x6*x7^2+2104*x3*x6*x7^2+5051*x4*x6*x7^2+3325*x5*x6*x7^2+4874*x6^2*x7^2+15394*x1*x7^3+26645*x2*x7^3+3507*x3*x7^3+13457*x4*x7^3+7194*x5*x7^3+10295*x6*x7^3+2534*x7^4+15069*x3*x5*x6*x8+12334*x4*x5*x6*x8+7778*x5^2*x6*x8+14840*x1*x6^2*x8+11054*x2*x6^2*x8+8554*x3*x6^2*x8+21567*x4*x6^2*x8+29096*x5*x6^2*x8+21487*x6^3*x8+24342*x2*x4*x7*x8+28800*x1*x5*x7*x8+14980*x2*x5*x7*x8+2825*x3*x5*x7*x8+23810*x4*x5*x7*x8+1488*x5^2*x7*x8+8624*x1*x6*x7*x8+3310*x2*x6*x7*x8+13720*x3*x6*x7*x8+15355*x4*x6*x7*x8+26518*x5*x6*x7*x8+12981*x6^2*x7*x8+31793*x1*x7^2*x8+29354*x2*x7^2*x8+28188*x3*x7^2*x8+825*x4*x7^2*x8+4381*x5*x7^2*x8+17052*x6*x7^2*x8+12225*x7^3*x8+5194*x2*x4*x8^2+1439*x4^2*x8^2+14427*x1*x5*x8^2+26463*x2*x5*x8^2+29576*x3*x5*x8^2+21192*x4*x5*x8^2+4159*x5^2*x8^2+22347*x1*x6*x8^2+23705*x2*x6*x8^2+14363*x3*x6*x8^2+24404*x4*x6*x8^2+4094*x5*x6*x8^2+7380*x6^2*x8^2+27762*x1*x7*x8^2+8115*x2*x7*x8^2+27028*x3*x7*x8^2+12379*x4*x7*x8^2+5917*x5*x7*x8^2+162*x6*x7*x8^2+9429*x7^2*x8^2+23192*x1*x8^3+4224*x2*x8^3+24258*x3*x8^3+24037*x4*x8^3+30959*x5*x8^3+29021*x6*x8^3+24803*x7*x8^3+11712*x8^4+30652*x3*x5*x6+20166*x4*x5*x6+20207*x5^2*x6+624*x1*x6^2+10579*x2*x6^2+10984*x3*x6^2+10538*x4*x6^2+18298*x5*x6^2+23536*x6^3+7165*x2*x4*x7+14891*x1*x5*x7+547*x2*x5*x7+15261*x3*x5*x7+15007*x4*x5*x7+3834*x5^2*x7+31310*x1*x6*x7+31774*x2*x6*x7+13200*x3*x6*x7+14790*x4*x6*x7+1286*x5*x6*x7+3208*x6^2*x7+25150*x1*x7^2+348*x2*x7^2+10170*x3*x7^2+7414*x4*x7^2+18577*x5*x7^2+10299*x6*x7^2+26271*x7^3+14741*x2*x4*x8+12266*x4^2*x8+9827*x1*x5*x8+20762*x2*x5*x8+5094*x3*x5*x8+17979*x4*x5*x8+28005*x5^2*x8+3863*x1*x6*x8+26105*x2*x6*x8+27088*x3*x6*x8+25120*x4*x6*x8+15612*x5*x6*x8+1028*x6^2*x8+2047*x1*x7*x8+16307*x2*x7*x8+24443*x3*x7*x8+367*x4*x7*x8+29957*x5*x7*x8+3528*x6*x7*x8+2182*x7^2*x8+13452*x1*x8^2+27583*x2*x8^2+18675*x3*x8^2+22643*x4*x8^2+1892*x5*x8^2+18744*x6*x8^2+3146*x7*x8^2+11591*x8^3+29848*x2*x4+8597*x4^2+23599*x1*x5+11253*x2*x5+6078*x3*x5+12384*x4*x5+15584*x5^2+5763*x1*x6+8882*x2*x6+26738*x3*x6+17062*x4*x6+10049*x5*x6+4181*x6^2+28499*x1*x7+24308*x2*x7+10683*x3*x7+2761*x4*x7+27898*x5*x7+18774*x6*x7+14870*x7^2+18374*x1*x8+1832*x2*x8+10108*x3*x8+20907*x4*x8+30015*x5*x8+6707*x6*x8+18201*x7*x8+12744*x8^2+25022*x1+19915*x2+14770*x3+14776*x4+6033*x5+1486*x6+24115*x7+27659*x8+390
+1*x1*x7^3*x8+14606*x3*x5*x6*x8^2+8785*x4*x5*x6*x8^2+23505*x5^2*x6*x8^2+21698*x1*x6^2*x8^2+15977*x2*x6^2*x8^2+8105*x3*x6^2*x8^2+26578*x4*x6^2*x8^2+1096*x5*x6^2*x8^2+28930*x6^3*x8^2+9906*x2*x4*x7*x8^2+25796*x1*x5*x7*x8^2+7127*x2*x5*x7*x8^2+16836*x3*x5*x7*x8^2+5243*x4*x5*x7*x8^2+18354*x5^2*x7*x8^2+3202*x1*x6*x7*x8^2+24117*x2*x6*x7*x8^2+8564*x3*x6*x7*x8^2+16882*x4*x6*x7*x8^2+8911*x5*x6*x7*x8^2+10902*x6^2*x7*x8^2+25091*x1*x7^2*x8^2+30929*x2*x7^2*x8^2+25273*x3*x7^2*x8^2+24614*x4*x7^2*x8^2+6131*x5*x7^2*x8^2+14225*x6*x7^2*x8^2+23094*x7^3*x8^2+16446*x2*x4*x8^3+20177*x4^2*x8^3+11147*x1*x5*x8^3+10651*x2*x5*x8^3+11313*x3*x5*x8^3+385*x4*x5*x8^3+31296*x5^2*x8^3+22772*x1*x6*x8^3+25932*x2*x6*x8^3+6311*x3*x6*x8^3+17937*x4*x6*x8^3+2475*x5*x6*x8^3+12237*x6^2*x8^3+6513*x1*x7*x8^3+3740*x2*x7*x8^3+7581*x3*x7*x8^3+2258*x4*x7*x8^3+26741*x5*x7*x8^3+28733*x6*x7*x8^3+10746*x7^2*x8^3+30281*x1*x8^4+1626*x2*x8^4+11886*x3*x8^4+2875*x4*x8^4+4801*x5*x8^4+13481*x6*x8^4+10689*x7*x8^4+15334*x8^5+30411*x5^2*x7^2+28307*x1*x6*x7^2+24148*x2*x6*x7^2+18248*x3*x6*x7^2+7701*x4*x6*x7^2+3517*x5*x6*x7^2+30761*x6^2*x7^2+16859*x1*x7^3+5447*x2*x7^3+30574*x3*x7^3+3531*x4*x7^3+8842*x5*x7^3+1375*x6*x7^3+5753*x7^4+2879*x3*x5*x6*x8+15774*x4*x5*x6*x8+31703*x5^2*x6*x8+845*x1*x6^2*x8+6365*x2*x6^2*x8+26703*x3*x6^2*x8+31586*x4*x6^2*x8+7057*x5*x6^2*x8+3955*x6^3*x8+9341*x2*x4*x7*x8+20603*x1*x5*x7*x8+20612*x2*x5*x7*x8+21243*x3*x5*x7*x8+21602*x4*x5*x7*x8+23433*x5^2*x7*x8+24882*x1*x6*x7*x8+26272*x2*x6*x7*x8+15229*x3*x6*x7*x8+31753*x4*x6*x7*x8+14196*x5*x6*x7*x8+3280*x6^2*x7*x8+17133*x1*x7^2*x8+27173*x2*x7^2*x8+16968*x3*x7^2*x8+28219*x4*x7^2*x8+2856*x5*x7^2*x8+28711*x6*x7^2*x8+28081*x7^3*x8+23303*x2*x4*x8^2+24956*x4^2*x8^2+26930*x1*x5*x8^2+5*x2*x5*x8^2+4752*x3*x5*x8^2+17502*x4*x5*x8^2+11393*x5^2*x8^2+7192*x1*x6*x8^2+19224*x2*x6*x8^2+13721*x3*x6*x8^2+6594*x4*x6*x8^2+10698*x5*x6*x8^2+15117*x6^2*x8^2+18348*x1*x7*x8^2+18856*x2*x7*x8^2+2000*x3*x7*x8^2+3734*x4*x7*x8^2+15056*x5*x7*x8^2+31112*x6*x7*x8^2+26774*x7^2*x8^2+31138*x1*x8^3+13783*x2*x8^3+8341*x3*x8^3+30959*x4*x8^3+25188*x5*x8^3+19667*x6*x8^3+10290*x7*x8^3+15954*x8^4+2540*x3*x5*x6+30084*x4*x5*x6+5295*x5^2*x6+26341*x1*x6^2+17246*x2*x6^2+25687*x3*x6^2+26248*x4*x6^2+23248*x5*x6^2+12130*x6^3+22489*x2*x4*x7+4244*x1*x5*x7+3937*x2*x5*x7+13788*x3*x5*x7+2290*x4*x5*x7+10164*x5^2*x7+11353*x1*x6*x7+29221*x2*x6*x7+589*x3*x6*x7+20753*x4*x6*x7+3109*x5*x6*x7+20297*x6^2*x7+8724*x1*x7^2+18458*x2*x7^2+5363*x3*x7^2+26654*x4*x7^2+12062*x5*x7^2+21150*x6*x7^2+31820*x7^3+31760*x2*x4*x8+1916*x4^2*x8+1208*x1*x5*x8+4642*x2*x5*x8+18504*x3*x5*x8+7727*x4*x5*x8+22858*x5^2*x8+31114*x1*x6*x8+10041*x2*x6*x8+18746*x3*x6*x8+787*x4*x6*x8+31151*x5*x6*x8+28866*x6^2*x8+1300*x1*x7*x8+18320*x2*x7*x8+31138*x3*x7*x8+21305*x4*x7*x8+28546*x5*x7*x8+23295*x6*x7*x8+15900*x7^2*x8+7799*x1*x8^2+13755*x2*x8^2+22414*x3*x8^2+7175*x4*x8^2+9120*x5*x8^2+10757*x6*x8^2+30683*x7*x8^2+22158*x8^3+2320*x2*x4+11777*x4^2+10156*x1*x5+12993*x2*x5+9127*x3*x5+24560*x4*x5+25913*x5^2+9394*x1*x6+16779*x2*x6+2497*x3*x6+17710*x4*x6+23019*x5*x6+6648*x6^2+15664*x1*x7+11730*x2*x7+3828*x3*x7+6902*x4*x7+4493*x5*x7+16*x6*x7+17529*x7^2+9390*x1*x8+18103*x2*x8+23483*x3*x8+2943*x4*x8+16728*x5*x8+19625*x6*x8+16216*x7*x8+17758*x8^2+4947*x1+11431*x2+25323*x3+31418*x4+1820*x5+20076*x6+2060*x7+13712*x8+28822
+1*x6^2*x7^2*x8+3309*x3*x5*x6*x8^2+26127*x4*x5*x6*x8^2+29659*x5^2*x6*x8^2+31889*x1*x6^2*x8^2+18319*x2*x6^2*x8^2+16140*x3*x6^2*x8^2+10996*x4*x6^2*x8^2+17574*x5*x6^2*x8^2+8261*x6^3*x8^2+24544*x2*x4*x7*x8^2+24361*x1*x5*x7*x8^2+13773*x2*x5*x7*x8^2+18124*x3*x5*x7*x8^2+19913*x4*x5*x7*x8^2+31436*x5^2*x7*x8^2+29374*x1*x6*x7*x8^2+11255*x2*x6*x7*x8^2+8067*x3*x6*x7*x8^2+999*x4*x6*x7*x8^2+27909*x5*x6*x7*x8^2+16947*x6^2*x7*x8^2+21117*x1*x7^2*x8^2+25044*x2*x7^2*x8^2+30215*x3*x7^2*x8^2+24288*x4*x7^2*x8^2+4679*x5*x7^2*x8^2+1094*x6*x7^2*x8^2+8851*x7^3*x8^2+23060*x2*x4*x8^3+11224*x4^2*x8^3+19058*x1*x5*x8^3+13076*x2*x5*x8^3+21563*x3*x5*x8^3+2177*x4*x5*x8^3+24360*x5^2*x8^3+13203*x1*x6*x8^3+10271*x2*x6*x8^3+23386*x3*x6*x8^3+20965*x4*x6*x8^3+25805*x5*x6*x8^3+26096*x6^2*x8^3+25934*x1*x7*x8^3+27321*x2*x7*x8^3+9959*x3*x7*x8^3+27258*x4*x7*x8^3+24995*x5*x7*x8^3+17005*x6*x7*x8^3+924*x7^2*x8^3+3613*x1*x8^4+28752*x2*x8^4+5995*x3*x8^4+8488*x4*x8^4+12452*x5*x8^4+26249*x6*x8^4+28043*x7*x8^4+15018*x8^5+11812*x5^2*x7^2+17806*x1*x6*x7^2+1986*x2*x6*x7^2+14731*x3*x6*x7^2+16747*x4*x6*x7^2+41*x5*x6*x7^2+23929*x6^2*x7^2+13824*x1*x7^3+28610*x2*x7^3+1536*x3*x7^3+5006*x4*x7^3+24327*x5*x7^3+28277*x6*x7^3+10663*x7^4+6988*x3*x5*x6*x8+21212*x4*x5*x6*x8+19687*x5^2*x6*x8+12359*x1*x6^2*x8+25838*x2*x6^2*x8+12786*x3*x6^2*x8+24119*x4*x6^2*x8+13993*x5*x6^2*x8+1586*x6^3*x8+31269*x2*x4*x7*x8+8897*x1*x5*x7*x8+11635*x2*x5*x7*x8+24792*x3*x5*x7*x8+21588*x4*x5*x7*x8+15164*x5^2*x7*x8+24935*x1*x6*x7*x8+25451*x2*x6*x7*x8+16320*x3*x6*x7*x8+6548*x4*x6*x7*x8+17682*x5*x6*x7*x8+2437*x6^2*x7*x8+23094*x1*x7^2*x8+30062*x2*x7^2*x8+20994*x3*x7^2*x8+11625*x4*x7^2*x8+3747*x5*x7^2*x8+4343*x6*x7^2*x8+13254*x7^3*x8+1021*x2*x4*x8^2+12599*x4^2*x8^2+29639*x1*x5*x8^2+9905*x2*x5*x8^2+4244*x3*x5*x8^2+23147*x4*x5*x8^2+10864*x5^2*x8^2+20665*x1*x6*x8^2+6130*x2*x6*x8^2+2327*x3*x6*x8^2+2091*x4*x6*x8^2+10373*x5*x6*x8^2+27995*x6^2*x8^2+3860*x1*x7*x8^2+7563*x2*x7*x8^2+15245*x3*x7*x8^2+18375*x4*x7*x8^2+21764*x5*x7*x8^2+22528*x6*x7*x8^2+3892*x7^2*x8^2+14288*x1*x8^3+22730*x2*x8^3+30090*x3*x8^3+22253*x4*x8^3+11484*x5*x8^3+26833*x6*x8^3+14274*x7*x8^3+2433*x8^4+12880*x3*x5*x6+19511*x4*x5*x6+15843*x5^2*x6+26402*x1*x6^2+11121*x2*x6^2+14069*x3*x6^2+12126*x4*x6^2+14731*x5*x6^2+20367*x6^3+7906*x2*x4*x7+5377*x1*x5*x7+2270*x2*x5*x7+16612*x3*x5*x7+14087*x4*x5*x7+9256*x5^2*x7+11675*x1*x6*x7+4169*x2*x6*x7+21474*x3*x6*x7+5860*x4*x6*x7+613*x5*x6*x7+25580*x6^2*x7+20800*x1*x7^2+28982*x2*x7^2+19844*x3*x7^2+26410*x4*x7^2+9442*x5*x7^2+26006*x6*x7^2+2735*x7^3+6478*x2*x4*x8+29261*x4^2*x8+859*x1*x5*x8+13403*x2*x5*x8+29637*x3*x5*x8+28003*x4*x5*x8+23202*x5^2*x8+26318*x1*x6*x8+20464*x2*x6*x8+1130*x3*x6*x8+6567*x4*x6*x8+2245*x5*x6*x8+2694*x6^2*x8+5134*x1*x7*x8+26646*x2*x7*x8+12198*x3*x7*x8+7556*x4*x7*x8+20210*x5*x7*x8+304*x6*x7*x8+15192*x7^2*x8+11417*x1*x8^2+3185*x2*x8^2+8805*x3*x8^2+7766*x4*x8^2+30268*x5*x8^2+20197*x6*x8^2+18194*x7*x8^2+17401*x8^3+15744*x2*x4+16710*x4^2+30160*x1*x5+20033*x2*x5+9303*x3*x5+25980*x4*x5+13425*x5^2+21773*x1*x6+21725*x2*x6+9691*x3*x6+10251*x4*x6+22967*x5*x6+26866*x6^2+20778*x1*x7+9945*x2*x7+20659*x3*x7+10685*x4*x7+21665*x5*x7+20724*x6*x7+9649*x7^2+6164*x1*x8+7627*x2*x8+13720*x3*x8+12070*x4*x8+16970*x5*x8+14954*x6*x8+14290*x7*x8+19701*x8^2+7265*x1+2088*x2+6004*x3+703*x4+2106*x5+2383*x6+23588*x7+28578*x8+20974
+1*x5*x6*x7^2*x8+30504*x3*x5*x6*x8^2+10123*x4*x5*x6*x8^2+26253*x5^2*x6*x8^2+21552*x1*x6^2*x8^2+16806*x2*x6^2*x8^2+11605*x3*x6^2*x8^2+366*x4*x6^2*x8^2+2370*x5*x6^2*x8^2+17177*x6^3*x8^2+18652*x2*x4*x7*x8^2+25299*x1*x5*x7*x8^2+8620*x2*x5*x7*x8^2+27082*x3*x5*x7*x8^2+14841*x4*x5*x7*x8^2+11731*x5^2*x7*x8^2+12726*x1*x6*x7*x8^2+18078*x2*x6*x7*x8^2+22843*x3*x6*x7*x8^2+18779*x4*x6*x7*x8^2+13440*x5*x6*x7*x8^2+6067*x6^2*x7*x8^2+31442*x1*x7^2*x8^2+29019*x2*x7^2*x8^2+18878*x3*x7^2*x8^2+21790*x4*x7^2*x8^2+8*x5*x7^2*x8^2+2177*x6*x7^2*x8^2+6215*x7^3*x8^2+20385*x2*x4*x8^3+20800*x4^2*x8^3+27974*x1*x5*x8^3+27525*x2*x5*x8^3+25460*x3*x5*x8^3+976*x4*x5*x8^3+11194*x5^2*x8^3+14284*x1*x6*x8^3+3985*x2*x6*x8^3+9982*x3*x6*x8^3+13167*x4*x6*x8^3+18357*x5*x6*x8^3+18099*x6^2*x8^3+14397*x1*x7*x8^3+17300*x2*x7*x8^3+15368*x3*x7*x8^3+59*x4*x7*x8^3+30344*x5*x7*x8^3+24724*x6*x7*x8^3+4387*x7^2*x8^3+13744*x1*x8^4+9946*x2*x8^4+12371*x3*x8^4+28779*x4*x8^4+12890*x5*x8^4+172*x6*x8^4+21217*x7*x8^4+2824*x8^5+12397*x5^2*x7^2+17367*x1*x6*x7^2+18477*x2*x6*x7^2+4561*x3*x6*x7^2+19313*x4*x6*x7^2+2161*x5*x6*x7^2+27056*x6^2*x7^2+19973*x1*x7^3+24433*x2*x7^3+20377*x3*x7^3+21007*x4*x7^3+23742*x5*x7^3+27388*x6*x7^3+17739*x7^4+5241*x3*x5*x6*x8+14849*x4*x5*x6*x8+22438*x5^2*x6*x8+15259*x1*x6^2*x8+26560*x2*x6^2*x8+2567*x3*x6^2*x8+31716*x4*x6^2*x8+9952*x5*x6^2*x8+20094*x6^3*x8+3629*x2*x4*x7*x8+30064*x1*x5*x7*x8+27543*x2*x5*x7*x8+22083*x3*x5*x7*x8+12367*x4*x5*x7*x8+27159*x5^2*x7*x8+31574*x1*x6*x7*x8+28111*x2*x6*x7*x8+1527*x3*x6*x7*x8+5948*x4*x6*x7*x8+28144*x5*x6*x7*x8+3657*x6^2*x7*x8+29813*x1*x7^2*x8+3164*x2*x7^2*x8+19485*x3*x7^2*x8+10101*x4*x7^2*x8+17372*x5*x7^2*x8+24044*x6*x7^2*x8+29719*x7^3*x8+8273*x2*x4*x8^2+13772*x4^2*x8^2+30009*x1*x5*x8^2+4112*x2*x5*x8^2+16665*x3*x5*x8^2+29702*x4*x5*x8^2+15760*x5^2*x8^2+3377*x1*x6*x8^2+16945*x2*x6*x8^2+20094*x3*x6*x8^2+16012*x4*x6*x8^2+16696*x5*x6*x8^2+7393*x6^2*x8^2+27016*x1*x7*x8^2+18249*x2*x7*x8^2+8466*x3*x7*x8^2+12504*x4*x7*x8^2+17005*x5*x7*x8^2+14691*x6*x7*x8^2+2228*x7^2*x8^2+28316*x1*x8^3+1144*x2*x8^3+384*x3*x8^3+9764*x4*x8^3+3176*x5*x8^3+29567*x6*x8^3+13091*x7*x8^3+10732*x8^4+19189*x3*x5*x6+22337*x4*x5*x6+28556*x5^2*x6+10708*x1*x6^2+29159*x2*x6^2+16789*x3*x6^2+17048*x4*x6^2+2797*x5*x6^2+9154*x6^3+15977*x2*x4*x7+5261*x1*x5*x7+26177*x2*x5*x7+10416*x3*x5*x7+27089*x4*x5*x7+25384*x5^2*x7+26710*x1*x6*x7+14508*x2*x6*x7+298*x3*x6*x7+7104*x4*x6*x7+5663*x5*x6*x7+23485*x6^2*x7+11452*x1*x7^2+1131*x2*x7^2+28837*x3*x7^2+25785*x4*x7^2+17537*x5*x7^2+9177*x6*x7^2+15340*x7^3+14404*x2*x4*x8+26539*x4^2*x8+7589*x1*x5*x8+18680*x2*x5*x8+4250*x3*x5*x8+27415*x4*x5*x8+18949*x5^2*x8+16590*x1*x6*x8+23744*x2*x6*x8+28155*x3*x6*x8+22968*x4*x6*x8+17131*x5*x6*x8+28324*x6^2*x8+5331*x1*x7*x8+30041*x2*x7*x8+2256*x3*x7*x8+26024*x4*x7*x8+19144*x5*x7*x8+4482*x6*x7*x8+4732*x7^2*x8+22009*x1*x8^2+20603*x2*x8^2+13766*x3*x8^2+31125*x4*x8^2+26320*x5*x8^2+24984*x6*x8^2+1161*x7*x8^2+23870*x8^3+17440*x2*x4+24423*x4^2+13217*x1*x5+18106*x2*x5+7009*x3*x5+25736*x4*x5+8344*x5^2+27747*x1*x6+8669*x2*x6+29977*x3*x6+12811*x4*x6+3860*x5*x6+22708*x6^2+28192*x1*x7+20617*x2*x7+1939*x3*x7+1934*x4*x7+6361*x5*x7+15542*x6*x7+4213*x7^2+12315*x1*x8+27937*x2*x8+7326*x3*x8+4780*x4*x8+27025*x5*x8+22941*x6*x8+15790*x7*x8+17985*x8^2+15344*x1+27152*x2+30880*x3+6589*x4+5223*x5+11766*x6+22134*x7+12447*x8+14333
+1*x4*x6*x7^2*x8+20069*x3*x5*x6*x8^2+19099*x4*x5*x6*x8^2+23648*x5^2*x6*x8^2+29994*x1*x6^2*x8^2+21212*x2*x6^2*x8^2+31923*x3*x6^2*x8^2+9876*x4*x6^2*x8^2+3394*x5*x6^2*x8^2+16288*x6^3*x8^2+14203*x2*x4*x7*x8^2+12742*x1*x5*x7*x8^2+10354*x2*x5*x7*x8^2+5720*x3*x5*x7*x8^2+24632*x4*x5*x7*x8^2+14951*x5^2*x7*x8^2+12723*x1*x6*x7*x8^2+7308*x2*x6*x7*x8^2+1737*x3*x6*x7*x8^2+17168*x4*x6*x7*x8^2+30363*x5*x6*x7*x8^2+20953*x6^2*x7*x8^2+29271*x1*x7^2*x8^2+21224*x2*x7^2*x8^2+3166*x3*x7^2*x8^2+5044*x4*x7^2*x8^2+5269*x5*x7^2*x8^2+10556*x6*x7^2*x8^2+13137*x7^3*x8^2+28996*x2*x4*x8^3+24238*x4^2*x8^3+20910*x1*x5*x8^3+28086*x2*x5*x8^3+12334*x3*x5*x8^3+27946*x4*x5*x8^3+14089*x5^2*x8^3+234*x1*x6*x8^3+31997*x2*x6*x8^3+8501*x3*x6*x8^3+16847*x4*x6*x8^3+21236*x5*x6*x8^3+25021*x6^2*x8^3+3034*x1*x7*x8^3+7214*x2*x7*x8^3+25813*x3*x7*x8^3+30752*x4*x7*x8^3+12949*x5*x7*x8^3+12732*x6*x7*x8^3+5875*x7^2*x8^3+8229*x1*x8^4+13573*x2*x8^4+18766*x3*x8^4+19770*x4*x8^4+1426*x5*x8^4+27475*x6*x8^4+17847*x7*x8^4+3105*x8^5+3581*x5^2*x7^2+31175*x1*x6*x7^2+11427*x2*x6*x7^2+29088*x3*x6*x7^2+16481*x4*x6*x7^2+29042*x5*x6*x7^2+16151*x6^2*x7^2+31291*x1*x7^3+6782*x2*x7^3+26760*x3*x7^3+10284*x4*x7^3+23436*x5*x7^3+28418*x6*x7^3+27478*x7^4+25295*x3*x5*x6*x8+18008*x4*x5*x6*x8+31131*x5^2*x6*x8+24701*x1*x6^2*x8+14158*x2*x6^2*x8+26123*x3*x6^2*x8+111*x4*x6^2*x8+28116*x5*x6^2*x8+11996*x6^3*x8+9707*x2*x4*x7*x8+6119*x1*x5*x7*x8+25322*x2*x5*x7*x8+13189*x3*x5*x7*x8+18553*x4*x5*x7*x8+6608*x5^2*x7*x8+20950*x1*x6*x7*x8+31904*x2*x6*x7*x8+26721*x3*x6*x7*x8+10090*x4*x6*x7*x8+31721*x5*x6*x7*x8+26710*x6^2*x7*x8+23012*x1*x7^2*x8+13557*x2*x7^2*x8+25300*x3*x7^2*x8+31193*x4*x7^2*x8+16213*x5*x7^2*x8+18970*x6*x7^2*x8+7084*x7^3*x8+24871*x2*x4*x8^2+10229*x4^2*x8^2+29659*x1*x5*x8^2+11031*x2*x5*x8^2+20993*x3*x5*x8^2+18947*x4*x5*x8^2+2135*x5^2*x8^2+1157*x1*x6*x8^2+30785*x2*x6*x8^2+11539*x3*x6*x8^2+8711*x4*x6*x8^2+4459*x5*x6*x8^2+8673*x6^2*x8^2+5417*x1*x7*x8^2+21900*x2*x7*x8^2+14561*x3*x7*x8^2+10443*x4*x7*x8^2+14013*x5*x7*x8^2+31546*x6*x7*x8^2+31998*x7^2*x8^2+17869*x1*x8^3+10254*x2*x8^3+8398*x3*x8^3+23030*x4*x8^3+23084*x5*x8^3+5301*x6*x8^3+12974*x7*x8^3+27605*x8^4+8478*x3*x5*x6+29636*x4*x5*x6+8620*x5^2*x6+5105*x1*x6^2+2406*x2*x6^2+18504*x3*x6^2+28020*x4*x6^2+15424*x5*x6^2+27732*x6^3+23408*x2*x4*x7+9086*x1*x5*x7+14543*x2*x5*x7+16999*x3*x5*x7+22067*x4*x5*x7+985*x5^2*x7+27248*x1*x6*x7+2915*x2*x6*x7+28978*x3*x6*x7+1253*x4*x6*x7+1061*x5*x6*x7+19324*x6^2*x7+27654*x1*x7^2+3952*x2*x7^2+26109*x3*x7^2+6484*x4*x7^2+22961*x5*x7^2+3295*x6*x7^2+30520*x7^3+12032*x2*x4*x8+16407*x4^2*x8+25660*x1*x5*x8+10423*x2*x5*x8+24606*x3*x5*x8+23993*x4*x5*x8+13632*x5^2*x8+7075*x1*x6*x8+24886*x2*x6*x8+30101*x3*x6*x8+25478*x4*x6*x8+22923*x5*x6*x8+30979*x6^2*x8+15920*x1*x7*x8+26294*x2*x7*x8+21844*x3*x7*x8+26343*x4*x7*x8+10226*x5*x7*x8+28110*x6*x7*x8+7294*x7^2*x8+29485*x1*x8^2+20111*x2*x8^2+19541*x3*x8^2+23987*x4*x8^2+20144*x5*x8^2+28511*x6*x8^2+18923*x7*x8^2+4724*x8^3+9044*x2*x4+11520*x4^2+10806*x1*x5+7552*x2*x5+19058*x3*x5+6695*x4*x5+26701*x5^2+19323*x1*x6+22665*x2*x6+26738*x3*x6+8876*x4*x6+5001*x5*x6+2848*x6^2+6799*x1*x7+13739*x2*x7+12979*x3*x7+16841*x4*x7+27477*x5*x7+11242*x6*x7+12915*x7^2+30650*x1*x8+13662*x2*x8+23784*x3*x8+15603*x4*x8+14031*x5*x8+7888*x6*x8+24483*x7*x8+9116*x8^2+20462*x1+9872*x2+4258*x3+847*x4+9079*x5+4624*x6+21059*x7+25491*x8+21477
+1*x3*x6*x7^2*x8+8191*x3*x5*x6*x8^2+20423*x4*x5*x6*x8^2+22554*x5^2*x6*x8^2+906*x1*x6^2*x8^2+22469*x2*x6^2*x8^2+10837*x3*x6^2*x8^2+12127*x4*x6^2*x8^2+9955*x5*x6^2*x8^2+11249*x6^3*x8^2+31217*x2*x4*x7*x8^2+18443*x1*x5*x7*x8^2+25894*x2*x5*x7*x8^2+8761*x3*x5*x7*x8^2+25257*x4*x5*x7*x8^2+6009*x5^2*x7*x8^2+18381*x1*x6*x7*x8^2+28443*x2*x6*x7*x8^2+13746*x3*x6*x7*x8^2+920*x4*x6*x7*x8^2+16676*x5*x6*x7*x8^2+13472*x6^2*x7*x8^2+10603*x1*x7^2*x8^2+20294*x2*x7^2*x8^2+18162*x3*x7^2*x8^2+7255*x4*x7^2*x8^2+22012*x5*x7^2*x8^2+16603*x6*x7^2*x8^2+21167*x7^3*x8^2+1562*x2*x4*x8^3+13799*x4^2*x8^3+2205*x1*x5*x8^3+13221*x2*x5*x8^3+19409*x3*x5*x8^3+16753*x4*x5*x8^3+25899*x5^2*x8^3+2493*x1*x6*x8^3+14012*x2*x6*x8^3+20820*x3*x6*x8^3+20659*x4*x6*x8^3+25244*x5*x6*x8^3+18791*x6^2*x8^3+24577*x1*x7*x8^3+10427*x2*x7*x8^3+20652*x3*x7*x8^3+28210*x4*x7*x8^3+25315*x5*x7*x8^3+29651*x6*x7*x8^3+1544*x7^2*x8^3+3803*x1*x8^4+11410*x2*x8^4+7584*x3*x8^4+30315*x4*x8^4+24147*x5*x8^4+27901*x6*x8^4+23584*x7*x8^4+17793*x8^5+19620*x5^2*x7^2+9210*x1*x6*x7^2+18284*x2*x6*x7^2+5255*x3*x6*x7^2+4251*x4*x6*x7^2+16044*x5*x6*x7^2+20589*x6^2*x7^2+15615*x1*x7^3+31440*x2*x7^3+4445*x3*x7^3+16569*x4*x7^3+30415*x5*x7^3+23684*x6*x7^3+22642*x7^4+2349*x3*x5*x6*x8+16726*x4*x5*x6*x8+26439*x5^2*x6*x8+1025*x1*x6^2*x8+21829*x2*x6^2*x8+6015*x3*x6^2*x8+26157*x4*x6^2*x8+17630*x5*x6^2*x8+2566*x6^3*x8+20659*x2*x4*x7*x8+9806*x1*x5*x7*x8+12687*x2*x5*x7*x8+2160*x3*x5*x7*x8+8368*x4*x5*x7*x8+10410*x5^2*x7*x8+15801*x1*x6*x7*x8+21614*x2*x6*x7*x8+20553*x3*x6*x7*x8+31817*x4*x6*x7*x8+6892*x5*x6*x7*x8+21280*x6^2*x7*x8+22*x1*x7^2*x8+31064*x2*x7^2*x8+23344*x3*x7^2*x8+20246*x4*x7^2*x8+23067*x5*x7^2*x8+22179*x6*x7^2*x8+7130*x7^3*x8+10918*x2*x4*x8^2+6206*x4^2*x8^2+22726*x1*x5*x8^2+6664*x2*x5*x8^2+28355*x3*x5*x8^2+9795*x4*x5*x8^2+15236*x5^2*x8^2+30471*x1*x6*x8^2+12418*x2*x6*x8^2+20552*x3*x6*x8^2+20672*x4*x6*x8^2+27595*x5*x6*x8^2+13772*x6^2*x8^2+984*x1*x7*x8^2+1130*x2*x7*x8^2+4161*x3*x7*x8^2+10347*x4*x7*x8^2+17697*x5*x7*x8^2+31779*x6*x7*x8^2+17703*x7^2*x8^2+6900*x1*x8^3+5872*x2*x8^3+27755*x3*x8^3+304*x4*x8^3+13187*x5*x8^3+15815*x6*x8^3+24713*x7*x8^3+31266*x8^4+9284*x3*x5*x6+3650*x4*x5*x6+5798*x5^2*x6+9599*x1*x6^2+29721*x2*x6^2+25815*x3*x6^2+6148*x4*x6^2+889*x5*x6^2+5243*x6^3+22650*x2*x4*x7+29769*x1*x5*x7+9391*x2*x5*x7+15893*x3*x5*x7+24031*x4*x5*x7+14408*x5^2*x7+31635*x1*x6*x7+21402*x2*x6*x7+16230*x3*x6*x7+7024*x4*x6*x7+9859*x5*x6*x7+17322*x6^2*x7+27389*x1*x7^2+27916*x2*x7^2+17468*x3*x7^2+21452*x4*x7^2+4900*x5*x7^2+31255*x6*x7^2+14372*x7^3+22110*x2*x4*x8+9663*x4^2*x8+15264*x1*x5*x8+781*x2*x5*x8+24402*x3*x5*x8+10301*x4*x5*x8+30179*x5^2*x8+12072*x1*x6*x8+19259*x2*x6*x8+27563*x3*x6*x8+29019*x4*x6*x8+16904*x5*x6*x8+21344*x6^2*x8+17087*x1*x7*x8+22716*x2*x7*x8+24121*x3*x7*x8+20674*x4*x7*x8+6308*x5*x7*x8+1244*x6*x7*x8+8558*x7^2*x8+9026*x1*x8^2+1735*x2*x8^2+29781*x3*x8^2+15107*x4*x8^2+5529*x5*x8^2+17142*x6*x8^2+15805*x7*x8^2+17301*x8^3+28394*x2*x4+28392*x4^2+12041*x1*x5+16181*x2*x5+3104*x3*x5+12551*x4*x5+5225*x5^2+26122*x1*x6+15196*x2*x6+25070*x3*x6+7437*x4*x6+3712*x5*x6+14784*x6^2+29398*x1*x7+22860*x2*x7+25350*x3*x7+11619*x4*x7+6629*x5*x7+7496*x6*x7+2739*x7^2+16551*x1*x8+16139*x2*x8+16030*x3*x8+26985*x4*x8+75*x5*x8+12938*x6*x8+17458*x7*x8+18681*x8^2+8451*x1+2817*x2+27275*x3+24246*x4+16628*x5+7055*x6+14376*x7+15592*x8+5431
+1*x2*x6*x7^2*x8+5158*x3*x5*x6*x8^2+27643*x4*x5*x6*x8^2+21919*x5^2*x6*x8^2+16439*x1*x6^2*x8^2+3452*x2*x6^2*x8^2+16618*x3*x6^2*x8^2+14919*x4*x6^2*x8^2+31362*x5*x6^2*x8^2+3100*x6^3*x8^2+6426*x2*x4*x7*x8^2+2360*x1*x5*x7*x8^2+8525*x2*x5*x7*x8^2+8196*x3*x5*x7*x8^2+21236*x4*x5*x7*x8^2+324*x5^2*x7*x8^2+4145*x1*x6*x7*x8^2+6514*x2*x6*x7*x8^2+9070*x3*x6*x7*x8^2+4465*x4*x6*x7*x8^2+693*x5*x6*x7*x8^2+20558*x6^2*x7*x8^2+16087*x1*x7^2*x8^2+17938*x2*x7^2*x8^2+4374*x3*x7^2*x8^2+12165*x4*x7^2*x8^2+31632*x5*x7^2*x8^2+11537*x6*x7^2*x8^2+14652*x7^3*x8^2+31267*x2*x4*x8^3+31594*x4^2*x8^3+16687*x1*x5*x8^3+7459*x2*x5*x8^3+21257*x3*x5*x8^3+1599*x4*x5*x8^3+26075*x5^2*x8^3+4872*x1*x6*x8^3+24555*x2*x6*x8^3+23763*x3*x6*x8^3+22536*x4*x6*x8^3+25821*x5*x6*x8^3+8751*x6^2*x8^3+4636*x1*x7*x8^3+19599*x2*x7*x8^3+8238*x3*x7*x8^3+11808*x4*x7*x8^3+2425*x5*x7*x8^3+4794*x6*x7*x8^3+31646*x7^2*x8^3+20167*x1*x8^4+22238*x2*x8^4+7303*x3*x8^4+20976*x4*x8^4+31211*x5*x8^4+31457*x6*x8^4+27552*x7*x8^4+2085*x8^5+8824*x5^2*x7^2+14771*x1*x6*x7^2+7755*x2*x6*x7^2+23846*x3*x6*x7^2+20243*x4*x6*x7^2+10600*x5*x6*x7^2+9518*x6^2*x7^2+19132*x1*x7^3+23497*x2*x7^3+21067*x3*x7^3+15859*x4*x7^3+9100*x5*x7^3+31201*x6*x7^3+4939*x7^4+22019*x3*x5*x6*x8+31141*x4*x5*x6*x8+10026*x5^2*x6*x8+6491*x1*x6^2*x8+9919*x2*x6^2*x8+13647*x3*x6^2*x8+10467*x4*x6^2*x8+8429*x5*x6^2*x8+2143*x6^3*x8+24410*x2*x4*x7*x8+29423*x1*x5*x7*x8+16815*x2*x5*x7*x8+24224*x3*x5*x7*x8+5440*x4*x5*x7*x8+6465*x5^2*x7*x8+30317*x1*x6*x7*x8+11932*x2*x6*x7*x8+25703*x3*x6*x7*x8+28107*x4*x6*x7*x8+6046*x5*x6*x7*x8+3794*x6^2*x7*x8+31662*x1*x7^2*x8+31014*x2*x7^2*x8+1072*x3*x7^2*x8+9507*x4*x7^2*x8+3329*x5*x7^2*x8+29697*x6*x7^2*x8+1282*x7^3*x8+14400*x2*x4*x8^2+13075*x4^2*x8^2+11829*x1*x5*x8^2+18050*x2*x5*x8^2+31569*x3*x5*x8^2+14329*x4*x5*x8^2+23826*x5^2*x8^2+23345*x1*x6*x8^2+28110*x2*x6*x8^2+5963*x3*x6*x8^2+7347*x4*x6*x8^2+29235*x5*x6*x8^2+25468*x6^2*x8^2+22950*x1*x7*x8^2+27377*x2*x7*x8^2+8192*x3*x7*x8^2+18895*x4*x7*x8^2+25932*x5*x7*x8^2+31529*x6*x7*x8^2+36*x7^2*x8^2+2172*x1*x8^3+17343*x2*x8^3+17565*x3*x8^3+3520*x4*x8^3+6195*x5*x8^3+9474*x6*x8^3+9502*x7*x8^3+30769*x8^4+20410*x3*x5*x6+25776*x4*x5*x6+18028*x5^2*x6+10560*x1*x6^2+23566*x2*x6^2+6176*x3*x6^2+10892*x4*x6^2+2506*x5*x6^2+1129*x6^3+2802*x2*x4*x7+183*x1*x5*x7+10248*x2*x5*x7+10026*x3*x5*x7+29214*x4*x5*x7+5258*x5^2*x7+5045*x1*x6*x7+1675*x2*x6*x7+24385*x3*x6*x7+28274*x4*x6*x7+24786*x5*x6*x7+29874*x6^2*x7+27590*x1*x7^2+16399*x2*x7^2+31943*x3*x7^2+579*x4*x7^2+30481*x5*x7^2+21278*x6*x7^2+29027*x7^3+14341*x2*x4*x8+21827*x4^2*x8+14111*x1*x5*x8+14678*x2*x5*x8+22293*x3*x5*x8+13964*x4*x5*x8+30213*x5^2*x8+7921*x1*x6*x8+9488*x2*x6*x8+15083*x3*x6*x8+1007*x4*x6*x8+15236*x5*x6*x8+23767*x6^2*x8+4058*x1*x7*x8+1606*x2*x7*x8+8161*x3*x7*x8+24688*x4*x7*x8+19598*x5*x7*x8+3435*x6*x7*x8+24323*x7^2*x8+20075*x1*x8^2+18700*x2*x8^2+30679*x3*x8^2+7908*x4*x8^2+16168*x5*x8^2+14107*x6*x8^2+14407*x7*x8^2+21308*x8^3+31453*x2*x4+4181*x4^2+1299*x1*x5+5295*x2*x5+30959*x3*x5+11553*x4*x5+23334*x5^2+9972*x1*x6+20345*x2*x6+2995*x3*x6+17828*x4*x6+9891*x5*x6+30717*x6^2+9702*x1*x7+6278*x2*x7+4555*x3*x7+21327*x4*x7+27419*x5*x7+4987*x6*x7+29630*x7^2+28476*x1*x8+19640*x2*x8+26148*x3*x8+10092*x4*x8+19179*x5*x8+9851*x6*x8+29153*x7*x8+9017*x8^2+13163*x1+15225*x2+3661*x3+29426*x4+19223*x5+21348*x6+26533*x7+15504*x8+30956
+1*x1*x6*x7^2*x8+27729*x3*x5*x6*x8^2+7855*x4*x5*x6*x8^2+29800*x5^2*x6*x8^2+10686*x1*x6^2*x8^2+19178*x2*x6^2*x8^2+14646*x3*x6^2*x8^2+5426*x4*x6^2*x8^2+19691*x5*x6^2*x8^2+6912*x6^3*x8^2+27167*x2*x4*x7*x8^2+7887*x1*x5*x7*x8^2+3271*x2*x5*x7*x8^2+9338*x3*x5*x7*x8^2+27331*x4*x5*x7*x8^2+2392*x5^2*x7*x8^2+26069*x1*x6*x7*x8^2+20001*x2*x6*x7*x8^2+15911*x3*x6*x7*x8^2+364*x4*x6*x7*x8^2+4068*x5*x6*x7*x8^2+28767*x6^2*x7*x8^2+922*x1*x7^2*x8^2+26051*x2*x7^2*x8^2+19041*x3*x7^2*x8^2+26479*x4*x7^2*x8^2+22848*x5*x7^2*x8^2+27300*x6*x7^2*x8^2+3830*x7^3*x8^2+2147*x2*x4*x8^3+4301*x4^2*x8^3+10268*x1*x5*x8^3+22548*x2*x5*x8^3+3359*x3*x5*x8^3+12957*x4*x5*x8^3+3224*x5^2*x8^3+5706*x1*x6*x8^3+31210*x2*x6*x8^3+25481*x3*x6*x8^3+31578*x4*x6*x8^3+1800*x5*x6*x8^3+28369*x6^2*x8^3+3802*x1*x7*x8^3+16274*x2*x7*x8^3+29222*x3*x7*x8^3+16687*x4*x7*x8^3+3438*x5*x7*x8^3+14477*x6*x7*x8^3+9704*x7^2*x8^3+30936*x1*x8^4+22961*x2*x8^4+25702*x3*x8^4+12367*x4*x8^4+17358*x5*x8^4+26046*x6*x8^4+25584*x7*x8^4+31214*x8^5+10918*x5^2*x7^2+5045*x1*x6*x7^2+5873*x2*x6*x7^2+23547*x3*x6*x7^2+21922*x4*x6*x7^2+23496*x5*x6*x7^2+2088*x6^2*x7^2+31149*x1*x7^3+26866*x2*x7^3+25017*x3*x7^3+4611*x4*x7^3+6244*x5*x7^3+30482*x6*x7^3+21725*x7^4+22492*x3*x5*x6*x8+21703*x4*x5*x6*x8+24709*x5^2*x6*x8+22589*x1*x6^2*x8+176*x2*x6^2*x8+1406*x3*x6^2*x8+26882*x4*x6^2*x8+305*x5*x6^2*x8+12427*x6^3*x8+16613*x2*x4*x7*x8+30606*x1*x5*x7*x8+28134*x2*x5*x7*x8+10899*x3*x5*x7*x8+11121*x4*x5*x7*x8+9720*x5^2*x7*x8+3238*x1*x6*x7*x8+130*x2*x6*x7*x8+4822*x3*x6*x7*x8+28150*x4*x6*x7*x8+29437*x5*x6*x7*x8+3193*x6^2*x7*x8+28168*x1*x7^2*x8+107*x2*x7^2*x8+9758*x3*x7^2*x8+26711*x4*x7^2*x8+29217*x5*x7^2*x8+19352*x6*x7^2*x8+22666*x7^3*x8+6684*x2*x4*x8^2+30252*x4^2*x8^2+25622*x1*x5*x8^2+30455*x2*x5*x8^2+1523*x3*x5*x8^2+20474*x4*x5*x8^2+7709*x5^2*x8^2+23970*x1*x6*x8^2+28278*x2*x6*x8^2+15694*x3*x6*x8^2+20941*x4*x6*x8^2+12421*x5*x6*x8^2+5097*x6^2*x8^2+16528*x1*x7*x8^2+22771*x2*x7*x8^2+26331*x3*x7*x8^2+4629*x4*x7*x8^2+2027*x5*x7*x8^2+20713*x6*x7*x8^2+11489*x7^2*x8^2+6375*x1*x8^3+10507*x2*x8^3+766*x3*x8^3+24828*x4*x8^3+27101*x5*x8^3+8291*x6*x8^3+12558*x7*x8^3+6831*x8^4+13161*x3*x5*x6+10825*x4*x5*x6+13269*x5^2*x6+4361*x1*x6^2+12420*x2*x6^2+27433*x3*x6^2+15053*x4*x6^2+7544*x5*x6^2+4435*x6^3+26815*x2*x4*x7+4767*x1*x5*x7+6918*x2*x5*x7+10622*x3*x5*x7+16262*x4*x5*x7+27012*x5^2*x7+9844*x1*x6*x7+11989*x2*x6*x7+28059*x3*x6*x7+6354*x4*x6*x7+27747*x5*x6*x7+1790*x6^2*x7+7767*x1*x7^2+13992*x2*x7^2+24973*x3*x7^2+9500*x4*x7^2+24855*x5*x7^2+6336*x6*x7^2+6686*x7^3+4137*x2*x4*x8+17975*x4^2*x8+10026*x1*x5*x8+5373*x2*x5*x8+28102*x3*x5*x8+31361*x4*x5*x8+22865*x5^2*x8+17469*x1*x6*x8+483*x2*x6*x8+22794*x3*x6*x8+21350*x4*x6*x8+14106*x5*x6*x8+8271*x6^2*x8+14871*x1*x7*x8+23001*x2*x7*x8+6812*x3*x7*x8+25206*x4*x7*x8+29831*x5*x7*x8+6226*x6*x7*x8+19804*x7^2*x8+17718*x1*x8^2+30442*x2*x8^2+1180*x3*x8^2+9023*x4*x8^2+31488*x5*x8^2+31744*x6*x8^2+400*x7*x8^2+12943*x8^3+17182*x2*x4+27442*x4^2+19759*x1*x5+17551*x2*x5+26093*x3*x5+3792*x4*x5+23696*x5^2+22730*x1*x6+17141*x2*x6+19550*x3*x6+21870*x4*x6+1353*x5*x6+13964*x6^2+19590*x1*x7+977*x2*x7+25093*x3*x7+15715*x4*x7+23747*x5*x7+12770*x6*x7+26018*x7^2+31478*x1*x8+22329*x2*x8+1558*x3*x8+8855*x4*x8+5009*x5*x8+16513*x6*x8+24875*x7*x8+25176*x8^2+21195*x1+13741*x2+12043*x3+172*x4+3677*x5+4204*x6+1187*x7+18912*x8+16351
+1*x5^2*x7^2*x8+27020*x3*x5*x6*x8^2+27102*x4*x5*x6*x8^2+17589*x5^2*x6*x8^2+850*x1*x6^2*x8^2+22511*x2*x6^2*x8^2+23697*x3*x6^2*x8^2+5550*x4*x6^2*x8^2+22983*x5*x6^2*x8^2+18613*x6^3*x8^2+31301*x2*x4*x7*x8^2+22595*x1*x5*x7*x8^2+28427*x2*x5*x7*x8^2+18345*x3*x5*x7*x8^2+29680*x4*x5*x7*x8^2+20344*x5^2*x7*x8^2+31339*x1*x6*x7*x8^2+24097*x2*x6*x7*x8^2+17040*x3*x6*x7*x8^2+22393*x4*x6*x7*x8^2+24030*x5*x6*x7*x8^2+30788*x6^2*x7*x8^2+27048*x1*x7^2*x8^2+117*x2*x7^2*x8^2+28151*x3*x7^2*x8^2+9105*x4*x7^2*x8^2+30817*x5*x7^2*x8^2+17962*x6*x7^2*x8^2+23970*x7^3*x8^2+31858*x2*x4*x8^3+29715*x4^2*x8^3+9841*x1*x5*x8^3+26494*x2*x5*x8^3+26738*x3*x5*x8^3+4757*x4*x5*x8^3+14307*x5^2*x8^3+5687*x1*x6*x8^3+3327*x2*x6*x8^3+5386*x3*x6*x8^3+7480*x4*x6*x8^3+19614*x5*x6*x8^3+8019*x6^2*x8^3+9471*x1*x7*x8^3+29665*x2*x7*x8^3+29791*x3*x7*x8^3+20836*x4*x7*x8^3+11759*x5*x7*x8^3+18576*x6*x7*x8^3+1578*x7^2*x8^3+6990*x1*x8^4+27364*x2*x8^4+30084*x3*x8^4+5097*x4*x8^4+2134*x5*x8^4+10326*x6*x8^4+26884*x7*x8^4+8008*x8^5+29514*x5^2*x7^2+523*x1*x6*x7^2+4040*x2*x6*x7^2+23906*x3*x6*x7^2+26393*x4*x6*x7^2+25415*x5*x6*x7^2+16795*x6^2*x7^2+31502*x1*x7^3+13221*x2*x7^3+28373*x3*x7^3+31482*x4*x7^3+6586*x5*x7^3+9646*x6*x7^3+25402*x7^4+2927*x3*x5*x6*x8+11874*x4*x5*x6*x8+4841*x5^2*x6*x8+13501*x1*x6^2*x8+4445*x2*x6^2*x8+4694*x3*x6^2*x8+29976*x4*x6^2*x8+26733*x5*x6^2*x8+19759*x6^3*x8+29821*x2*x4*x7*x8+15531*x1*x5*x7*x8+31535*x2*x5*x7*x8+26563*x3*x5*x7*x8+23840*x4*x5*x7*x8+28731*x5^2*x7*x8+14912*x1*x6*x7*x8+13034*x2*x6*x7*x8+10241*x3*x6*x7*x8+12181*x4*x6*x7*x8+8378*x5*x6*x7*x8+966*x6^2*x7*x8+297*x1*x7^2*x8+26194*x2*x7^2*x8+28315*x3*x7^2*x8+3824*x4*x7^2*x8+3534*x5*x7^2*x8+23744*x6*x7^2*x8+14035*x7^3*x8+10360*x2*x4*x8^2+9447*x4^2*x8^2+19633*x1*x5*x8^2+16123*x2*x5*x8^2+29685*x3*x5*x8^2+9655*x4*x5*x8^2+16979*x5^2*x8^2+27048*x1*x6*x8^2+14266*x2*x6*x8^2+23490*x3*x6*x8^2+12191*x4*x6*x8^2+8888*x5*x6*x8^2+12111*x6^2*x8^2+1426*x1*x7*x8^2+3914*x2*x7*x8^2+27268*x3*x7*x8^2+27646*x4*x7*x8^2+16241*x5*x7*x8^2+8332*x6*x7*x8^2+6690*x7^2*x8^2+19800*x1*x8^3+907*x2*x8^3+1554*x3*x8^3+29216*x4*x8^3+31611*x5*x8^3+29630*x6*x8^3+29967*x7*x8^3+11662*x8^4+11137*x3*x5*x6+20556*x4*x5*x6+26762*x5^2*x6+28169*x1*x6^2+8068*x2*x6^2+29900*x3*x6^2+4777*x4*x6^2+19143*x5*x6^2+26971*x6^3+9156*x2*x4*x7+14947*x1*x5*x7+13958*x2*x5*x7+1136*x3*x5*x7+16704*x4*x5*x7+25157*x5^2*x7+14972*x1*x6*x7+28486*x2*x6*x7+29714*x3*x6*x7+15573*x4*x6*x7+30708*x5*x6*x7+5997*x6^2*x7+21260*x1*x7^2+20121*x2*x7^2+26687*x3*x7^2+26228*x4*x7^2+8475*x5*x7^2+1806*x6*x7^2+5714*x7^3+3556*x2*x4*x8+11154*x4^2*x8+6838*x1*x5*x8+12986*x2*x5*x8+5866*x3*x5*x8+16258*x4*x5*x8+30289*x5^2*x8+18551*x1*x6*x8+4636*x2*x6*x8+25977*x3*x6*x8+8089*x4*x6*x8+13054*x5*x6*x8+4811*x6^2*x8+3183*x1*x7*x8+10680*x2*x7*x8+9811*x3*x7*x8+13255*x4*x7*x8+3711*x5*x7*x8+13930*x6*x7*x8+9757*x7^2*x8+23483*x1*x8^2+25631*x2*x8^2+7614*x3*x8^2+2256*x4*x8^2+5513*x5*x8^2+21662*x6*x8^2+27896*x7*x8^2+4801*x8^3+9520*x2*x4+31243*x4^2+20469*x1*x5+15066*x2*x5+28421*x3*x5+6316*x4*x5+14154*x5^2+30201*x1*x6+10535*x2*x6+5530*x3*x6+9211*x4*x6+12311*x5*x6+6831*x6^2+21652*x1*x7+12004*x2*x7+19175*x3*x7+19188*x4*x7+31480*x5*x7+172*x6*x7+29574*x7^2+10916*x1*x8+2354*x2*x8+25605*x3*x8+809*x4*x8+16608*x5*x8+18362*x6*x8+29598*x7*x8+25202*x8^2+8024*x1+31612*x2+27433*x3+13759*x4+7688*x5+18917*x6+18037*x7+21443*x8+12058
+1*x7^5+11064*x3*x5*x6*x8^2+12971*x4*x5*x6*x8^2+7223*x5^2*x6*x8^2+30102*x1*x6^2*x8^2+12508*x2*x6^2*x8^2+24414*x3*x6^2*x8^2+26072*x4*x6^2*x8^2+2088*x5*x6^2*x8^2+8505*x6^3*x8^2+8201*x2*x4*x7*x8^2+11623*x1*x5*x7*x8^2+24311*x2*x5*x7*x8^2+5169*x3*x5*x7*x8^2+19175*x4*x5*x7*x8^2+27887*x5^2*x7*x8^2+31431*x1*x6*x7*x8^2+16987*x2*x6*x7*x8^2+8583*x3*x6*x7*x8^2+26825*x4*x6*x7*x8^2+9992*x5*x6*x7*x8^2+1639*x6^2*x7*x8^2+20241*x1*x7^2*x8^2+15170*x2*x7^2*x8^2+13632*x3*x7^2*x8^2+18928*x4*x7^2*x8^2+3799*x5*x7^2*x8^2+18188*x6*x7^2*x8^2+3801*x7^3*x8^2+29194*x2*x4*x8^3+8106*x4^2*x8^3+3007*x1*x5*x8^3+1982*x2*x5*x8^3+8809*x3*x5*x8^3+27340*x4*x5*x8^3+29481*x5^2*x8^3+4801*x1*x6*x8^3+2714*x2*x6*x8^3+16035*x3*x6*x8^3+26445*x4*x6*x8^3+3002*x5*x6*x8^3+3659*x6^2*x8^3+19599*x1*x7*x8^3+22439*x2*x7*x8^3+5109*x3*x7*x8^3+30440*x4*x7*x8^3+23771*x5*x7*x8^3+2756*x6*x7*x8^3+29394*x7^2*x8^3+22631*x1*x8^4+6167*x2*x8^4+8748*x3*x8^4+8602*x4*x8^4+16652*x5*x8^4+27463*x6*x8^4+19992*x7*x8^4+6128*x8^5+2423*x5^2*x7^2+5248*x1*x6*x7^2+2931*x2*x6*x7^2+9204*x3*x6*x7^2+29262*x4*x6*x7^2+20117*x5*x6*x7^2+2842*x6^2*x7^2+29192*x1*x7^3+28630*x2*x7^3+19849*x3*x7^3+12047*x4*x7^3+8099*x5*x7^3+31931*x6*x7^3+24880*x7^4+4373*x3*x5*x6*x8+3227*x4*x5*x6*x8+20177*x5^2*x6*x8+24495*x1*x6^2*x8+11074*x2*x6^2*x8+12918*x3*x6^2*x8+5444*x4*x6^2*x8+11299*x5*x6^2*x8+24585*x6^3*x8+11168*x2*x4*x7*x8+1788*x1*x5*x7*x8+5954*x2*x5*x7*x8+21379*x3*x5*x7*x8+24110*x4*x5*x7*x8+8519*x5^2*x7*x8+2515*x1*x6*x7*x8+31530*x2*x6*x7*x8+4617*x3*x6*x7*x8+5421*x4*x6*x7*x8+21728*x5*x6*x7*x8+11268*x6^2*x7*x8+990*x1*x7^2*x8+215*x2*x7^2*x8+14921*x3*x7^2*x8+16114*x4*x7^2*x8+12751*x5*x7^2*x8+28581*x6*x7^2*x8+20588*x7^3*x8+5478*x2*x4*x8^2+12069*x4^2*x8^2+27737*x1*x5*x8^2+12237*x2*x5*x8^2+14233*x3*x5*x8^2+8223*x4*x5*x8^2+16959*x5^2*x8^2+9739*x1*x6*x8^2+23638*x2*x6*x8^2+23992*x3*x6*x8^2+4277*x4*x6*x8^2+23082*x5*x6*x8^2+4008*x6^2*x8^2+31580*x1*x7*x8^2+17198*x2*x7*x8^2+8028*x3*x7*x8^2+23864*x4*x7*x8^2+30177*x5*x7*x8^2+6899*x6*x7*x8^2+4307*x7^2*x8^2+8675*x1*x8^3+29297*x2*x8^3+8306*x3*x8^3+25473*x4*x8^3+7039*x5*x8^3+22987*x6*x8^3+10359*x7*x8^3+24283*x8^4+27643*x3*x5*x6+22235*x4*x5*x6+24209*x5^2*x6+19217*x1*x6^2+20407*x2*x6^2+7818*x3*x6^2+22109*x4*x6^2+28612*x5*x6^2+20028*x6^3+6071*x2*x4*x7+10731*x1*x5*x7+7666*x2*x5*x7+13125*x3*x5*x7+24604*x4*x5*x7+1188*x5^2*x7+22599*x1*x6*x7+1768*x2*x6*x7+21755*x3*x6*x7+28110*x4*x6*x7+2425*x5*x6*x7+25376*x6^2*x7+15981*x1*x7^2+25610*x2*x7^2+10230*x3*x7^2+3818*x4*x7^2+27979*x5*x7^2+16846*x6*x7^2+1024*x7^3+22161*x2*x4*x8+24492*x4^2*x8+22397*x1*x5*x8+12357*x2*x5*x8+4117*x3*x5*x8+22665*x4*x5*x8+16107*x5^2*x8+27280*x1*x6*x8+12513*x2*x6*x8+1553*x3*x6*x8+13972*x4*x6*x8+10962*x5*x6*x8+31531*x6^2*x8+24498*x1*x7*x8+27509*x2*x7*x8+19641*x3*x7*x8+443*x4*x7*x8+24436*x5*x7*x8+11725*x6*x7*x8+2117*x7^2*x8+6866*x1*x8^2+11958*x2*x8^2+26498*x3*x8^2+15681*x4*x8^2+5887*x5*x8^2+8185*x6*x8^2+1213*x7*x8^2+28852*x8^3+2328*x2*x4+6910*x4^2+30698*x1*x5+12391*x2*x5+27665*x3*x5+26897*x4*x5+20770*x5^2+6208*x1*x6+25021*x2*x6+17202*x3*x6+21255*x4*x6+10981*x5*x6+2164*x6^2+24530*x1*x7+3865*x2*x7+20250*x3*x7+31404*x4*x7+936*x5*x7+22219*x6*x7+22543*x7^2+3847*x1*x8+5981*x2*x8+2928*x3*x8+4230*x4*x8+20006*x5*x8+10089*x6*x8+29648*x7*x8+6532*x8^2+10941*x1+559*x2+23790*x3+22575*x4+22190*x5+7452*x6+17427*x7+19602*x8+7943
+1*x6*x7^4+317*x3*x5*x6*x8^2+5536*x4*x5*x6*x8^2+6893*x5^2*x6*x8^2+12614*x1*x6^2*x8^2+15077*x2*x6^2*x8^2+25421*x3*x6^2*x8^2+345*x4*x6^2*x8^2+18087*x5*x6^2*x8^2+27054*x6^3*x8^2+9480*x2*x4*x7*x8^2+11084*x1*x5*x7*x8^2+22084*x2*x5*x7*x8^2+17386*x3*x5*x7*x8^2+23465*x4*x5*x7*x8^2+7690*x5^2*x7*x8^2+20851*x1*x6*x7*x8^2+26021*x2*x6*x7*x8^2+21893*x3*x6*x7*x8^2+27384*x4*x6*x7*x8^2+23933*x5*x6*x7*x8^2+1966*x6^2*x7*x8^2+7122*x1*x7^2*x8^2+16213*x2*x7^2*x8^2+21136*x3*x7^2*x8^2+9485*x4*x7^2*x8^2+15167*x5*x7^2*x8^2+19711*x6*x7^2*x8^2+18008*x7^3*x8^2+12927*x2*x4*x8^3+11223*x4^2*x8^3+24168*x1*x5*x8^3+28566*x2*x5*x8^3+30118*x3*x5*x8^3+27736*x4*x5*x8^3+23947*x5^2*x8^3+26263*x1*x6*x8^3+20243*x2*x6*x8^3+12885*x3*x6*x8^3+24251*x4*x6*x8^3+17714*x5*x6*x8^3+5290*x6^2*x8^3+16526*x1*x7*x8^3+30784*x2*x7*x8^3+2980*x3*x7*x8^3+12863*x4*x7*x8^3+17658*x5*x7*x8^3+8869*x6*x7*x8^3+11030*x7^2*x8^3+803*x1*x8^4+31447*x2*x8^4+12509*x3*x8^4+3239*x4*x8^4+8676*x5*x8^4+3694*x6*x8^4+26328*x7*x8^4+27230*x8^5+22017*x5^2*x7^2+7089*x1*x6*x7^2+2354*x2*x6*x7^2+7779*x3*x6*x7^2+4697*x4*x6*x7^2+21430*x5*x6*x7^2+6744*x6^2*x7^2+31727*x1*x7^3+13482*x2*x7^3+22028*x3*x7^3+28710*x4*x7^3+11423*x5*x7^3+17295*x6*x7^3+5674*x7^4+14830*x3*x5*x6*x8+9180*x4*x5*x6*x8+9487*x5^2*x6*x8+30947*x1*x6^2*x8+23149*x2*x6^2*x8+22258*x3*x6^2*x8+15730*x4*x6^2*x8+12084*x5*x6^2*x8+30415*x6^3*x8+23891*x2*x4*x7*x8+17745*x1*x5*x7*x8+30290*x2*x5*x7*x8+17520*x3*x5*x7*x8+14473*x4*x5*x7*x8+14283*x5^2*x7*x8+11486*x1*x6*x7*x8+9220*x2*x6*x7*x8+18842*x3*x6*x7*x8+17334*x4*x6*x7*x8+7015*x5*x6*x7*x8+11515*x6^2*x7*x8+1200*x1*x7^2*x8+2545*x2*x7^2*x8+5576*x3*x7^2*x8+4194*x4*x7^2*x8+6297*x5*x7^2*x8+31196*x6*x7^2*x8+17453*x7^3*x8+16152*x2*x4*x8^2+12290*x4^2*x8^2+10363*x1*x5*x8^2+17296*x2*x5*x8^2+4628*x3*x5*x8^2+8332*x4*x5*x8^2+17558*x5^2*x8^2+18365*x1*x6*x8^2+18498*x2*x6*x8^2+18971*x3*x6*x8^2+18314*x4*x6*x8^2+7936*x5*x6*x8^2+16879*x6^2*x8^2+1272*x1*x7*x8^2+423*x2*x7*x8^2+7088*x3*x7*x8^2+26607*x4*x7*x8^2+22765*x5*x7*x8^2+4220*x6*x7*x8^2+5939*x7^2*x8^2+10148*x1*x8^3+6233*x2*x8^3+18787*x3*x8^3+18345*x4*x8^3+26595*x5*x8^3+322*x6*x8^3+20675*x7*x8^3+22755*x8^4+13244*x3*x5*x6+14498*x4*x5*x6+6724*x5^2*x6+15675*x1*x6^2+24804*x2*x6^2+12898*x3*x6^2+25524*x4*x6^2+14137*x5*x6^2+16672*x6^3+19403*x2*x4*x7+10345*x1*x5*x7+3316*x2*x5*x7+20537*x3*x5*x7+27869*x4*x5*x7+2916*x5^2*x7+8808*x1*x6*x7+28789*x2*x6*x7+4899*x3*x6*x7+3363*x4*x6*x7+15736*x5*x6*x7+25632*x6^2*x7+30021*x1*x7^2+30337*x2*x7^2+414*x3*x7^2+20716*x4*x7^2+4166*x5*x7^2+15565*x6*x7^2+17378*x7^3+4403*x2*x4*x8+16546*x4^2*x8+30568*x1*x5*x8+30269*x2*x5*x8+8401*x3*x5*x8+24447*x4*x5*x8+20351*x5^2*x8+24475*x1*x6*x8+9226*x2*x6*x8+29091*x3*x6*x8+22106*x4*x6*x8+17171*x5*x6*x8+10142*x6^2*x8+16679*x1*x7*x8+8311*x2*x7*x8+3893*x3*x7*x8+10936*x4*x7*x8+8613*x5*x7*x8+5575*x6*x7*x8+29050*x7^2*x8+2330*x1*x8^2+10241*x2*x8^2+21320*x3*x8^2+772*x4*x8^2+6184*x5*x8^2+27527*x6*x8^2+31901*x7*x8^2+16524*x8^3+27453*x2*x4+8465*x4^2+12587*x1*x5+730*x2*x5+25605*x3*x5+25559*x4*x5+7441*x5^2+12283*x1*x6+28845*x2*x6+3541*x3*x6+23964*x4*x6+12669*x5*x6+20959*x6^2+11961*x1*x7+29707*x2*x7+14545*x3*x7+27525*x4*x7+30321*x5*x7+24830*x6*x7+21806*x7^2+18006*x1*x8+16625*x2*x8+20463*x3*x8+11747*x4*x8+30615*x5*x8+1774*x6*x8+29783*x7*x8+3684*x8^2+26367*x1+13460*x2+8372*x3+2479*x4+9387*x5+12946*x6+17091*x7+11451*x8+1307
+1*x5*x7^4+30648*x3*x5*x6*x8^2+31622*x4*x5*x6*x8^2+17686*x5^2*x6*x8^2+6718*x1*x6^2*x8^2+703*x2*x6^2*x8^2+25021*x3*x6^2*x8^2+13069*x4*x6^2*x8^2+21783*x5*x6^2*x8^2+17606*x6^3*x8^2+29727*x2*x4*x7*x8^2+6962*x1*x5*x7*x8^2+3010*x2*x5*x7*x8^2+25307*x3*x5*x7*x8^2+14591*x4*x5*x7*x8^2+20697*x5^2*x7*x8^2+6629*x1*x6*x7*x8^2+28707*x2*x6*x7*x8^2+26430*x3*x6*x7*x8^2+11479*x4*x6*x7*x8^2+17864*x5*x6*x7*x8^2+21662*x6^2*x7*x8^2+31114*x1*x7^2*x8^2+14742*x2*x7^2*x8^2+9972*x3*x7^2*x8^2+18826*x4*x7^2*x8^2+8091*x5*x7^2*x8^2+9652*x6*x7^2*x8^2+3415*x7^3*x8^2+9155*x2*x4*x8^3+25217*x4^2*x8^3+22180*x1*x5*x8^3+799*x2*x5*x8^3+21531*x3*x5*x8^3+25941*x4*x5*x8^3+12966*x5^2*x8^3+3781*x1*x6*x8^3+30468*x2*x6*x8^3+11369*x3*x6*x8^3+9387*x4*x6*x8^3+3312*x5*x6*x8^3+20157*x6^2*x8^3+28080*x1*x7*x8^3+12985*x2*x7*x8^3+12622*x3*x7*x8^3+26835*x4*x7*x8^3+1333*x5*x7*x8^3+5006*x6*x7*x8^3+1891*x7^2*x8^3+19214*x1*x8^4+16848*x2*x8^4+322*x3*x8^4+7686*x4*x8^4+17693*x5*x8^4+30504*x6*x8^4+13352*x7*x8^4+24428*x8^5+26416*x5^2*x7^2+688*x1*x6*x7^2+8325*x2*x6*x7^2+6688*x3*x6*x7^2+26755*x4*x6*x7^2+19143*x5*x6*x7^2+21936*x6^2*x7^2+18952*x1*x7^3+24035*x2*x7^3+2008*x3*x7^3+11047*x4*x7^3+23232*x5*x7^3+31674*x6*x7^3+14547*x7^4+8870*x3*x5*x6*x8+7326*x4*x5*x6*x8+5803*x5^2*x6*x8+23331*x1*x6^2*x8+10381*x2*x6^2*x8+23235*x3*x6^2*x8+6749*x4*x6^2*x8+21295*x5*x6^2*x8+1569*x6^3*x8+28855*x2*x4*x7*x8+29304*x1*x5*x7*x8+15950*x2*x5*x7*x8+29817*x3*x5*x7*x8+809*x4*x5*x7*x8+16553*x5^2*x7*x8+9219*x1*x6*x7*x8+15948*x2*x6*x7*x8+414*x3*x6*x7*x8+13062*x4*x6*x7*x8+27682*x5*x6*x7*x8+22350*x6^2*x7*x8+11555*x1*x7^2*x8+23004*x2*x7^2*x8+10282*x3*x7^2*x8+15740*x4*x7^2*x8+17173*x5*x7^2*x8+12679*x6*x7^2*x8+29416*x7^3*x8+13354*x2*x4*x8^2+18958*x4^2*x8^2+30591*x1*x5*x8^2+5486*x2*x5*x8^2+9399*x3*x5*x8^2+28165*x4*x5*x8^2+21491*x5^2*x8^2+14857*x1*x6*x8^2+7489*x2*x6*x8^2+4254*x3*x6*x8^2+13518*x4*x6*x8^2+10789*x5*x6*x8^2+6422*x6^2*x8^2+27646*x1*x7*x8^2+25980*x2*x7*x8^2+31486*x3*x7*x8^2+12423*x4*x7*x8^2+13096*x5*x7*x8^2+23795*x6*x7*x8^2+8275*x7^2*x8^2+19553*x1*x8^3+9323*x2*x8^3+13984*x3*x8^3+16177*x4*x8^3+25966*x5*x8^3+3905*x6*x8^3+2953*x7*x8^3+5372*x8^4+248*x3*x5*x6+29798*x4*x5*x6+2899*x5^2*x6+22331*x1*x6^2+11766*x2*x6^2+7871*x3*x6^2+14105*x4*x6^2+21629*x5*x6^2+21495*x6^3+15041*x2*x4*x7+10441*x1*x5*x7+383*x2*x5*x7+14273*x3*x5*x7+4714*x4*x5*x7+2581*x5^2*x7+17596*x1*x6*x7+26276*x2*x6*x7+9485*x3*x6*x7+6472*x4*x6*x7+28735*x5*x6*x7+29439*x6^2*x7+29071*x1*x7^2+738*x2*x7^2+17579*x3*x7^2+27369*x4*x7^2+26579*x5*x7^2+20835*x6*x7^2+25737*x7^3+10933*x2*x4*x8+10139*x4^2*x8+13658*x1*x5*x8+26063*x2*x5*x8+9996*x3*x5*x8+21009*x4*x5*x8+13343*x5^2*x8+10789*x1*x6*x8+2924*x2*x6*x8+14445*x3*x6*x8+17924*x4*x6*x8+10934*x5*x6*x8+28992*x6^2*x8+10818*x1*x7*x8+7732*x2*x7*x8+5638*x3*x7*x8+11758*x4*x7*x8+3307*x5*x7*x8+25112*x6*x7*x8+20822*x7^2*x8+17464*x1*x8^2+4399*x2*x8^2+521*x3*x8^2+10883*x4*x8^2+1933*x5*x8^2+20376*x6*x8^2+2997*x7*x8^2+19643*x8^3+12501*x2*x4+8883*x4^2+14895*x1*x5+19591*x2*x5+508*x3*x5+20592*x4*x5+18295*x5^2+25951*x1*x6+12152*x2*x6+4745*x3*x6+21408*x4*x6+20264*x5*x6+22115*x6^2+14795*x1*x7+29695*x2*x7+950*x3*x7+10225*x4*x7+10538*x5*x7+2043*x6*x7+22346*x7^2+6815*x1*x8+2834*x2*x8+6514*x3*x8+10115*x4*x8+15416*x5*x8+13109*x6*x8+24214*x7*x8+26366*x8^2+15684*x1+10464*x2+21071*x3+310*x4+19424*x5+20549*x6+24526*x7+15903*x8+18500
+1*x4*x7^4+15403*x3*x5*x6*x8^2+19935*x4*x5*x6*x8^2+8629*x5^2*x6*x8^2+5194*x1*x6^2*x8^2+28020*x2*x6^2*x8^2+5285*x3*x6^2*x8^2+20697*x4*x6^2*x8^2+15919*x5*x6^2*x8^2+29181*x6^3*x8^2+13267*x2*x4*x7*x8^2+7655*x1*x5*x7*x8^2+24615*x2*x5*x7*x8^2+16350*x3*x5*x7*x8^2+8721*x4*x5*x7*x8^2+13803*x5^2*x7*x8^2+19726*x1*x6*x7*x8^2+3308*x2*x6*x7*x8^2+5696*x3*x6*x7*x8^2+4247*x4*x6*x7*x8^2+13830*x5*x6*x7*x8^2+30208*x6^2*x7*x8^2+21101*x1*x7^2*x8^2+23071*x2*x7^2*x8^2+17885*x3*x7^2*x8^2+14690*x4*x7^2*x8^2+18903*x5*x7^2*x8^2+25295*x6*x7^2*x8^2+10369*x7^3*x8^2+1514*x2*x4*x8^3+2254*x4^2*x8^3+8348*x1*x5*x8^3+23904*x2*x5*x8^3+29142*x3*x5*x8^3+5926*x4*x5*x8^3+20908*x5^2*x8^3+1232*x1*x6*x8^3+15374*x2*x6*x8^3+6388*x3*x6*x8^3+11578*x4*x6*x8^3+4867*x5*x6*x8^3+27740*x6^2*x8^3+30619*x1*x7*x8^3+17734*x2*x7*x8^3+12009*x3*x7*x8^3+18455*x4*x7*x8^3+11659*x5*x7*x8^3+20247*x6*x7*x8^3+15053*x7^2*x8^3+14082*x1*x8^4+16853*x2*x8^4+18945*x3*x8^4+21961*x4*x8^4+14569*x5*x8^4+12292*x6*x8^4+5290*x7*x8^4+5922*x8^5+12743*x5^2*x7^2+24352*x1*x6*x7^2+24750*x2*x6*x7^2+6234*x3*x6*x7^2+15137*x4*x6*x7^2+22027*x5*x6*x7^2+22658*x6^2*x7^2+9894*x1*x7^3+6754*x2*x7^3+11417*x3*x7^3+30440*x4*x7^3+18460*x5*x7^3+9572*x6*x7^3+21595*x7^4+6384*x3*x5*x6*x8+2528*x4*x5*x6*x8+16081*x5^2*x6*x8+4670*x1*x6^2*x8+29554*x2*x6^2*x8+2541*x3*x6^2*x8+21563*x4*x6^2*x8+9882*x5*x6^2*x8+9474*x6^3*x8+5376*x2*x4*x7*x8+15454*x1*x5*x7*x8+29683*x2*x5*x7*x8+9992*x3*x5*x7*x8+14252*x4*x5*x7*x8+29091*x5^2*x7*x8+13650*x1*x6*x7*x8+1174*x2*x6*x7*x8+31968*x3*x6*x7*x8+25536*x4*x6*x7*x8+1528*x5*x6*x7*x8+5238*x6^2*x7*x8+16350*x1*x7^2*x8+7067*x2*x7^2*x8+18280*x3*x7^2*x8+8331*x4*x7^2*x8+18699*x5*x7^2*x8+21551*x6*x7^2*x8+29851*x7^3*x8+2860*x2*x4*x8^2+23515*x4^2*x8^2+29488*x1*x5*x8^2+9916*x2*x5*x8^2+27521*x3*x5*x8^2+14032*x4*x5*x8^2+17128*x5^2*x8^2+29484*x1*x6*x8^2+21072*x2*x6*x8^2+26978*x3*x6*x8^2+10762*x4*x6*x8^2+23218*x5*x6*x8^2+29552*x6^2*x8^2+28432*x1*x7*x8^2+27588*x2*x7*x8^2+6141*x3*x7*x8^2+6090*x4*x7*x8^2+31568*x5*x7*x8^2+26200*x6*x7*x8^2+12902*x7^2*x8^2+14175*x1*x8^3+22928*x2*x8^3+14397*x3*x8^3+24360*x4*x8^3+30796*x5*x8^3+19302*x6*x8^3+3967*x7*x8^3+30463*x8^4+1961*x3*x5*x6+28747*x4*x5*x6+28831*x5^2*x6+7375*x1*x6^2+806*x2*x6^2+10729*x3*x6^2+9906*x4*x6^2+26750*x5*x6^2+26642*x6^3+13745*x2*x4*x7+23371*x1*x5*x7+12971*x2*x5*x7+18607*x3*x5*x7+20338*x4*x5*x7+6836*x5^2*x7+27062*x1*x6*x7+31956*x2*x6*x7+29435*x3*x6*x7+31541*x4*x6*x7+27913*x5*x6*x7+27174*x6^2*x7+29231*x1*x7^2+29758*x2*x7^2+22740*x3*x7^2+12924*x4*x7^2+26955*x5*x7^2+19232*x6*x7^2+14628*x7^3+18735*x2*x4*x8+4476*x4^2*x8+3207*x1*x5*x8+1870*x2*x5*x8+9078*x3*x5*x8+24379*x4*x5*x8+20246*x5^2*x8+15973*x1*x6*x8+22433*x2*x6*x8+26183*x3*x6*x8+12822*x4*x6*x8+14069*x5*x6*x8+31594*x6^2*x8+28405*x1*x7*x8+26595*x2*x7*x8+25982*x3*x7*x8+9130*x4*x7*x8+14355*x5*x7*x8+10625*x6*x7*x8+16298*x7^2*x8+4037*x1*x8^2+19989*x2*x8^2+30107*x3*x8^2+6188*x4*x8^2+6491*x5*x8^2+24655*x6*x8^2+6367*x7*x8^2+27173*x8^3+11882*x2*x4+14269*x4^2+30477*x1*x5+18104*x2*x5+15219*x3*x5+10329*x4*x5+1961*x5^2+5923*x1*x6+30861*x2*x6+3953*x3*x6+29570*x4*x6+12133*x5*x6+30944*x6^2+22080*x1*x7+11672*x2*x7+26162*x3*x7+10017*x4*x7+20937*x5*x7+15366*x6*x7+16630*x7^2+2807*x1*x8+21881*x2*x8+15791*x3*x8+3105*x4*x8+30022*x5*x8+21535*x6*x8+5113*x7*x8+16807*x8^2+21014*x1+22283*x2+10469*x3+11383*x4+21467*x5+4262*x6+30211*x7+8188*x8+9768
+1*x3*x7^4+3203*x3*x5*x6*x8^2+25720*x4*x5*x6*x8^2+8149*x5^2*x6*x8^2+31326*x1*x6^2*x8^2+22886*x2*x6^2*x8^2+1316*x3*x6^2*x8^2+18753*x4*x6^2*x8^2+16056*x5*x6^2*x8^2+31439*x6^3*x8^2+7277*x2*x4*x7*x8^2+9448*x1*x5*x7*x8^2+8296*x2*x5*x7*x8^2+23402*x3*x5*x7*x8^2+7186*x4*x5*x7*x8^2+5428*x5^2*x7*x8^2+22501*x1*x6*x7*x8^2+6174*x2*x6*x7*x8^2+28533*x3*x6*x7*x8^2+16281*x4*x6*x7*x8^2+17145*x5*x6*x7*x8^2+4609*x6^2*x7*x8^2+12401*x1*x7^2*x8^2+23762*x2*x7^2*x8^2+2532*x3*x7^2*x8^2+3672*x4*x7^2*x8^2+9322*x5*x7^2*x8^2+30331*x6*x7^2*x8^2+2009*x7^3*x8^2+8611*x2*x4*x8^3+21773*x4^2*x8^3+172*x1*x5*x8^3+12948*x2*x5*x8^3+27829*x3*x5*x8^3+16610*x4*x5*x8^3+21532*x5^2*x8^3+18*x1*x6*x8^3+6739*x2*x6*x8^3+19879*x3*x6*x8^3+27776*x4*x6*x8^3+20332*x5*x6*x8^3+3218*x6^2*x8^3+26392*x1*x7*x8^3+1931*x2*x7*x8^3+3592*x3*x7*x8^3+28333*x4*x7*x8^3+4165*x5*x7*x8^3+5428*x6*x7*x8^3+501*x7^2*x8^3+14083*x1*x8^4+21717*x2*x8^4+7206*x3*x8^4+23270*x4*x8^4+28135*x5*x8^4+2908*x6*x8^4+21346*x7*x8^4+716*x8^5+26952*x5^2*x7^2+30395*x1*x6*x7^2+3677*x2*x6*x7^2+19963*x3*x6*x7^2+29349*x4*x6*x7^2+19718*x5*x6*x7^2+16017*x6^2*x7^2+19718*x1*x7^3+29099*x2*x7^3+6499*x3*x7^3+2020*x4*x7^3+26900*x5*x7^3+3747*x6*x7^3+23002*x7^4+13655*x3*x5*x6*x8+23224*x4*x5*x6*x8+13852*x5^2*x6*x8+20435*x1*x6^2*x8+23064*x2*x6^2*x8+5142*x3*x6^2*x8+2701*x4*x6^2*x8+31687*x5*x6^2*x8+27040*x6^3*x8+12517*x2*x4*x7*x8+3202*x1*x5*x7*x8+12131*x2*x5*x7*x8+14825*x3*x5*x7*x8+6125*x4*x5*x7*x8+8366*x5^2*x7*x8+16227*x1*x6*x7*x8+10168*x2*x6*x7*x8+8807*x3*x6*x7*x8+23250*x4*x6*x7*x8+7603*x5*x6*x7*x8+12131*x6^2*x7*x8+29461*x1*x7^2*x8+11733*x2*x7^2*x8+21269*x3*x7^2*x8+18385*x4*x7^2*x8+16954*x5*x7^2*x8+22068*x6*x7^2*x8+7406*x7^3*x8+24376*x2*x4*x8^2+24692*x4^2*x8^2+1228*x1*x5*x8^2+6387*x2*x5*x8^2+16694*x3*x5*x8^2+2612*x4*x5*x8^2+30246*x5^2*x8^2+25982*x1*x6*x8^2+17667*x2*x6*x8^2+30681*x3*x6*x8^2+26647*x4*x6*x8^2+5981*x5*x6*x8^2+15049*x6^2*x8^2+23142*x1*x7*x8^2+28343*x2*x7*x8^2+20845*x3*x7*x8^2+20605*x4*x7*x8^2+20177*x5*x7*x8^2+3461*x6*x7*x8^2+11186*x7^2*x8^2+14985*x1*x8^3+3535*x2*x8^3+28392*x3*x8^3+13205*x4*x8^3+11864*x5*x8^3+3759*x6*x8^3+1600*x7*x8^3+18132*x8^4+3406*x3*x5*x6+27348*x4*x5*x6+16739*x5^2*x6+19688*x1*x6^2+1053*x2*x6^2+15340*x3*x6^2+24324*x4*x6^2+3675*x5*x6^2+13985*x6^3+15515*x2*x4*x7+5948*x1*x5*x7+26683*x2*x5*x7+3576*x3*x5*x7+14924*x4*x5*x7+29026*x5^2*x7+15102*x1*x6*x7+19902*x2*x6*x7+2953*x3*x6*x7+16967*x4*x6*x7+15007*x5*x6*x7+28024*x6^2*x7+27631*x1*x7^2+3070*x2*x7^2+24620*x3*x7^2+2441*x4*x7^2+7327*x5*x7^2+2289*x6*x7^2+7157*x7^3+10707*x2*x4*x8+3379*x4^2*x8+22312*x1*x5*x8+30782*x2*x5*x8+29838*x3*x5*x8+30030*x4*x5*x8+18684*x5^2*x8+8917*x1*x6*x8+6442*x2*x6*x8+21016*x3*x6*x8+8342*x4*x6*x8+19895*x5*x6*x8+5317*x6^2*x8+7975*x1*x7*x8+7530*x2*x7*x8+1201*x3*x7*x8+12968*x4*x7*x8+14825*x5*x7*x8+2471*x6*x7*x8+15952*x7^2*x8+2062*x1*x8^2+29322*x2*x8^2+17981*x3*x8^2+13112*x4*x8^2+21773*x5*x8^2+16028*x6*x8^2+19205*x7*x8^2+14732*x8^3+23792*x2*x4+7526*x4^2+382*x1*x5+7307*x2*x5+3746*x3*x5+16790*x4*x5+25486*x5^2+1326*x1*x6+9690*x2*x6+13169*x3*x6+4847*x4*x6+11682*x5*x6+21917*x6^2+22703*x1*x7+23602*x2*x7+105*x3*x7+3218*x4*x7+20213*x5*x7+19105*x6*x7+31731*x7^2+12798*x1*x8+25076*x2*x8+1711*x3*x8+3465*x4*x8+16778*x5*x8+13668*x6*x8+28406*x7*x8+102*x8^2+12335*x1+16794*x2+14176*x3+15407*x4+28917*x5+5668*x6+8051*x7+31804*x8+2629
+1*x2*x7^4+19729*x3*x5*x6*x8^2+18791*x4*x5*x6*x8^2+22668*x5^2*x6*x8^2+25307*x1*x6^2*x8^2+1352*x2*x6^2*x8^2+1065*x3*x6^2*x8^2+22250*x4*x6^2*x8^2+15103*x5*x6^2*x8^2+12222*x6^3*x8^2+27908*x2*x4*x7*x8^2+20427*x1*x5*x7*x8^2+14876*x2*x5*x7*x8^2+22193*x3*x5*x7*x8^2+24500*x4*x5*x7*x8^2+17017*x5^2*x7*x8^2+11930*x1*x6*x7*x8^2+27754*x2*x6*x7*x8^2+9417*x3*x6*x7*x8^2+26183*x4*x6*x7*x8^2+6579*x5*x6*x7*x8^2+12927*x6^2*x7*x8^2+19195*x1*x7^2*x8^2+30702*x2*x7^2*x8^2+13445*x3*x7^2*x8^2+253*x4*x7^2*x8^2+18745*x5*x7^2*x8^2+2751*x6*x7^2*x8^2+14930*x7^3*x8^2+8245*x2*x4*x8^3+136*x4^2*x8^3+29236*x1*x5*x8^3+18398*x2*x5*x8^3+21909*x3*x5*x8^3+11722*x4*x5*x8^3+24909*x5^2*x8^3+31453*x1*x6*x8^3+10479*x2*x6*x8^3+30916*x3*x6*x8^3+15864*x4*x6*x8^3+10134*x5*x6*x8^3+3953*x6^2*x8^3+30836*x1*x7*x8^3+17150*x2*x7*x8^3+29198*x3*x7*x8^3+10453*x4*x7*x8^3+19290*x5*x7*x8^3+29951*x6*x7*x8^3+2639*x7^2*x8^3+31378*x1*x8^4+19786*x2*x8^4+10389*x3*x8^4+5275*x4*x8^4+3765*x5*x8^4+1995*x6*x8^4+14294*x7*x8^4+22336*x8^5+16243*x5^2*x7^2+9431*x1*x6*x7^2+23594*x2*x6*x7^2+17060*x3*x6*x7^2+26992*x4*x6*x7^2+17262*x5*x6*x7^2+27312*x6^2*x7^2+24602*x1*x7^3+5476*x2*x7^3+16518*x3*x7^3+5559*x4*x7^3+5405*x5*x7^3+9870*x6*x7^3+12175*x7^4+19822*x3*x5*x6*x8+14098*x4*x5*x6*x8+8733*x5^2*x6*x8+15589*x1*x6^2*x8+19394*x2*x6^2*x8+17466*x3*x6^2*x8+18949*x4*x6^2*x8+6149*x5*x6^2*x8+24273*x6^3*x8+28769*x2*x4*x7*x8+39*x1*x5*x7*x8+4043*x2*x5*x7*x8+22706*x3*x5*x7*x8+27520*x4*x5*x7*x8+25354*x5^2*x7*x8+6283*x1*x6*x7*x8+20631*x2*x6*x7*x8+1307*x3*x6*x7*x8+12910*x4*x6*x7*x8+24258*x5*x6*x7*x8+19637*x6^2*x7*x8+7539*x1*x7^2*x8+4916*x2*x7^2*x8+5444*x3*x7^2*x8+5324*x4*x7^2*x8+21005*x5*x7^2*x8+27891*x6*x7^2*x8+18291*x7^3*x8+9888*x2*x4*x8^2+22450*x4^2*x8^2+26177*x1*x5*x8^2+2990*x2*x5*x8^2+21381*x3*x5*x8^2+3813*x4*x5*x8^2+21411*x5^2*x8^2+12327*x1*x6*x8^2+14852*x2*x6*x8^2+14741*x3*x6*x8^2+1148*x4*x6*x8^2+30569*x5*x6*x8^2+12416*x6^2*x8^2+27345*x1*x7*x8^2+4268*x2*x7*x8^2+10715*x3*x7*x8^2+17551*x4*x7*x8^2+21391*x5*x7*x8^2+10821*x6*x7*x8^2+8948*x7^2*x8^2+16286*x1*x8^3+23394*x2*x8^3+8248*x3*x8^3+16094*x4*x8^3+16017*x5*x8^3+21403*x6*x8^3+16816*x7*x8^3+1721*x8^4+17940*x3*x5*x6+10711*x4*x5*x6+29551*x5^2*x6+26903*x1*x6^2+8293*x2*x6^2+16278*x3*x6^2+1886*x4*x6^2+23506*x5*x6^2+6294*x6^3+23751*x2*x4*x7+11024*x1*x5*x7+27920*x2*x5*x7+11087*x3*x5*x7+5363*x4*x5*x7+19267*x5^2*x7+21906*x1*x6*x7+4498*x2*x6*x7+13157*x3*x6*x7+27273*x4*x6*x7+13362*x5*x6*x7+9563*x6^2*x7+10823*x1*x7^2+26887*x2*x7^2+2609*x3*x7^2+13670*x4*x7^2+27870*x5*x7^2+29218*x6*x7^2+3392*x7^3+6430*x2*x4*x8+19463*x4^2*x8+19350*x1*x5*x8+19816*x2*x5*x8+1146*x3*x5*x8+11944*x4*x5*x8+26222*x5^2*x8+18919*x1*x6*x8+7541*x2*x6*x8+20965*x3*x6*x8+202*x4*x6*x8+18928*x5*x6*x8+5217*x6^2*x8+16084*x1*x7*x8+23555*x2*x7*x8+21890*x3*x7*x8+4465*x4*x7*x8+12626*x5*x7*x8+24205*x6*x7*x8+31347*x7^2*x8+15738*x1*x8^2+1558*x2*x8^2+8458*x3*x8^2+22573*x4*x8^2+17643*x5*x8^2+12149*x6*x8^2+4275*x7*x8^2+20164*x8^3+8511*x2*x4+26797*x4^2+9274*x1*x5+18008*x2*x5+1429*x3*x5+4786*x4*x5+25010*x5^2+15706*x1*x6+28749*x2*x6+1177*x3*x6+8957*x4*x6+13293*x5*x6+20395*x6^2+23267*x1*x7+4106*x2*x7+18441*x3*x7+10693*x4*x7+2390*x5*x7+9620*x6*x7+25398*x7^2+31169*x1*x8+7671*x2*x8+22081*x3*x8+638*x4*x8+22914*x5*x8+16565*x6*x8+30791*x7*x8+5754*x8^2+25153*x1+7796*x2+12063*x3+30967*x4+6583*x5+13634*x6+14578*x7+29518*x8+3765
+1*x1*x7^4+11352*x3*x5*x6*x8^2+30435*x4*x5*x6*x8^2+26045*x5^2*x6*x8^2+10573*x1*x6^2*x8^2+22486*x2*x6^2*x8^2+20418*x3*x6^2*x8^2+7195*x4*x6^2*x8^2+12010*x5*x6^2*x8^2+19369*x6^3*x8^2+5364*x2*x4*x7*x8^2+4399*x1*x5*x7*x8^2+5355*x2*x5*x7*x8^2+18362*x3*x5*x7*x8^2+28909*x4*x5*x7*x8^2+30835*x5^2*x7*x8^2+28502*x1*x6*x7*x8^2+2955*x2*x6*x7*x8^2+30136*x3*x6*x7*x8^2+8550*x4*x6*x7*x8^2+8927*x5*x6*x7*x8^2+3076*x6^2*x7*x8^2+3974*x1*x7^2*x8^2+19480*x2*x7^2*x8^2+14027*x3*x7^2*x8^2+19226*x4*x7^2*x8^2+23291*x5*x7^2*x8^2+11830*x6*x7^2*x8^2+4124*x7^3*x8^2+29346*x2*x4*x8^3+18757*x4^2*x8^3+1598*x1*x5*x8^3+6557*x2*x5*x8^3+14998*x3*x5*x8^3+6600*x4*x5*x8^3+29243*x5^2*x8^3+12126*x1*x6*x8^3+917*x2*x6*x8^3+20060*x3*x6*x8^3+10818*x4*x6*x8^3+27373*x5*x6*x8^3+10592*x6^2*x8^3+23550*x1*x7*x8^3+28244*x2*x7*x8^3+29451*x3*x7*x8^3+21825*x4*x7*x8^3+26359*x5*x7*x8^3+26959*x6*x7*x8^3+12761*x7^2*x8^3+2983*x1*x8^4+23822*x2*x8^4+1363*x3*x8^4+12067*x4*x8^4+6410*x5*x8^4+25943*x6*x8^4+1985*x7*x8^4+27067*x8^5+24525*x5^2*x7^2+13772*x1*x6*x7^2+30122*x2*x6*x7^2+1443*x3*x6*x7^2+6498*x4*x6*x7^2+12798*x5*x6*x7^2+21161*x6^2*x7^2+24419*x1*x7^3+3418*x2*x7^3+4031*x3*x7^3+4903*x4*x7^3+9561*x5*x7^3+29136*x6*x7^3+2415*x7^4+5281*x3*x5*x6*x8+17816*x4*x5*x6*x8+1769*x5^2*x6*x8+22427*x1*x6^2*x8+13122*x2*x6^2*x8+12601*x3*x6^2*x8+13605*x4*x6^2*x8+12227*x5*x6^2*x8+22056*x6^3*x8+16474*x2*x4*x7*x8+29098*x1*x5*x7*x8+10979*x2*x5*x7*x8+2692*x3*x5*x7*x8+13030*x4*x5*x7*x8+11639*x5^2*x7*x8+23974*x1*x6*x7*x8+14081*x2*x6*x7*x8+15982*x3*x6*x7*x8+16415*x4*x6*x7*x8+6946*x5*x6*x7*x8+20732*x6^2*x7*x8+25654*x1*x7^2*x8+31038*x2*x7^2*x8+15064*x3*x7^2*x8+27279*x4*x7^2*x8+1104*x5*x7^2*x8+14011*x6*x7^2*x8+7611*x7^3*x8+18209*x2*x4*x8^2+8305*x4^2*x8^2+4626*x1*x5*x8^2+9278*x2*x5*x8^2+2110*x3*x5*x8^2+27041*x4*x5*x8^2+21241*x5^2*x8^2+31385*x1*x6*x8^2+19176*x2*x6*x8^2+3791*x3*x6*x8^2+13523*x4*x6*x8^2+15830*x5*x6*x8^2+11302*x6^2*x8^2+20208*x1*x7*x8^2+24096*x2*x7*x8^2+29539*x3*x7*x8^2+5002*x4*x7*x8^2+23787*x5*x7*x8^2+15031*x6*x7*x8^2+11283*x7^2*x8^2+14118*x1*x8^3+7820*x2*x8^3+667*x3*x8^3+10877*x4*x8^3+26720*x5*x8^3+30120*x6*x8^3+2199*x7*x8^3+3943*x8^4+21715*x3*x5*x6+3498*x4*x5*x6+27469*x5^2*x6+13643*x1*x6^2+21947*x2*x6^2+7074*x3*x6^2+17805*x4*x6^2+29416*x5*x6^2+23644*x6^3+14939*x2*x4*x7+9209*x1*x5*x7+16730*x2*x5*x7+31990*x3*x5*x7+16475*x4*x5*x7+26752*x5^2*x7+22308*x1*x6*x7+31121*x2*x6*x7+31269*x3*x6*x7+12484*x4*x6*x7+16676*x5*x6*x7+29660*x6^2*x7+29867*x1*x7^2+12649*x2*x7^2+30524*x3*x7^2+21504*x4*x7^2+25903*x5*x7^2+16069*x6*x7^2+30156*x7^3+15252*x2*x4*x8+645*x4^2*x8+29538*x1*x5*x8+16511*x2*x5*x8+18279*x3*x5*x8+20156*x4*x5*x8+29605*x5^2*x8+3811*x1*x6*x8+28965*x2*x6*x8+22620*x3*x6*x8+6161*x4*x6*x8+15022*x5*x6*x8+15900*x6^2*x8+4773*x1*x7*x8+1974*x2*x7*x8+14687*x3*x7*x8+17555*x4*x7*x8+15898*x5*x7*x8+18593*x6*x7*x8+21956*x7^2*x8+14056*x1*x8^2+22814*x2*x8^2+30551*x3*x8^2+5504*x4*x8^2+11682*x5*x8^2+31380*x6*x8^2+25689*x7*x8^2+22803*x8^3+25368*x2*x4+13794*x4^2+30341*x1*x5+14481*x2*x5+21836*x3*x5+30474*x4*x5+14513*x5^2+4635*x1*x6+10368*x2*x6+4238*x3*x6+15398*x4*x6+23806*x5*x6+21198*x6^2+3783*x1*x7+21613*x2*x7+30964*x3*x7+25695*x4*x7+25960*x5*x7+18575*x6*x7+17501*x7^2+25411*x1*x8+6138*x2*x8+27828*x3*x8+25179*x4*x8+17415*x5*x8+2992*x6*x8+7699*x7*x8+4620*x8^2+27266*x1+3454*x2+595*x3+15764*x4+3404*x5+10182*x6+24429*x7+16172*x8+16699
+1*x6^2*x7^3+15512*x3*x5*x6*x8^2+27250*x4*x5*x6*x8^2+10296*x5^2*x6*x8^2+20846*x1*x6^2*x8^2+2901*x2*x6^2*x8^2+9021*x3*x6^2*x8^2+15838*x4*x6^2*x8^2+15353*x5*x6^2*x8^2+18449*x6^3*x8^2+6626*x2*x4*x7*x8^2+22516*x1*x5*x7*x8^2+15719*x2*x5*x7*x8^2+17193*x3*x5*x7*x8^2+1071*x4*x5*x7*x8^2+9179*x5^2*x7*x8^2+29502*x1*x6*x7*x8^2+23436*x2*x6*x7*x8^2+28891*x3*x6*x7*x8^2+6960*x4*x6*x7*x8^2+3276*x5*x6*x7*x8^2+2784*x6^2*x7*x8^2+21928*x1*x7^2*x8^2+8412*x2*x7^2*x8^2+28733*x3*x7^2*x8^2+17389*x4*x7^2*x8^2+5312*x5*x7^2*x8^2+23929*x6*x7^2*x8^2+11071*x7^3*x8^2+18778*x2*x4*x8^3+17145*x4^2*x8^3+9783*x1*x5*x8^3+21974*x2*x5*x8^3+17730*x3*x5*x8^3+19501*x4*x5*x8^3+4695*x5^2*x8^3+14159*x1*x6*x8^3+18844*x2*x6*x8^3+2159*x3*x6*x8^3+10511*x4*x6*x8^3+16796*x5*x6*x8^3+7058*x6^2*x8^3+4609*x1*x7*x8^3+4406*x2*x7*x8^3+22094*x3*x7*x8^3+17071*x4*x7*x8^3+27642*x5*x7*x8^3+10012*x6*x7*x8^3+22955*x7^2*x8^3+21114*x1*x8^4+26946*x2*x8^4+17398*x3*x8^4+16654*x4*x8^4+15525*x5*x8^4+25296*x6*x8^4+3140*x7*x8^4+9574*x8^5+2923*x5^2*x7^2+14020*x1*x6*x7^2+22599*x2*x6*x7^2+27295*x3*x6*x7^2+13463*x4*x6*x7^2+6336*x5*x6*x7^2+31523*x6^2*x7^2+8755*x1*x7^3+7364*x2*x7^3+22800*x3*x7^3+21361*x4*x7^3+12153*x5*x7^3+2860*x6*x7^3+24941*x7^4+2046*x3*x5*x6*x8+23339*x4*x5*x6*x8+8476*x5^2*x6*x8+19836*x1*x6^2*x8+24442*x2*x6^2*x8+983*x3*x6^2*x8+2861*x4*x6^2*x8+8906*x5*x6^2*x8+25120*x6^3*x8+21853*x2*x4*x7*x8+27897*x1*x5*x7*x8+849*x2*x5*x7*x8+6886*x3*x5*x7*x8+9847*x4*x5*x7*x8+22906*x5^2*x7*x8+6911*x1*x6*x7*x8+20601*x2*x6*x7*x8+24595*x3*x6*x7*x8+30270*x4*x6*x7*x8+12562*x5*x6*x7*x8+20825*x6^2*x7*x8+30432*x1*x7^2*x8+23150*x2*x7^2*x8+1805*x3*x7^2*x8+27703*x4*x7^2*x8+24852*x5*x7^2*x8+9452*x6*x7^2*x8+8070*x7^3*x8+31560*x2*x4*x8^2+1890*x4^2*x8^2+16511*x1*x5*x8^2+27025*x2*x5*x8^2+165*x3*x5*x8^2+31622*x4*x5*x8^2+19869*x5^2*x8^2+11173*x1*x6*x8^2+2536*x2*x6*x8^2+22381*x3*x6*x8^2+4333*x4*x6*x8^2+25778*x5*x6*x8^2+15942*x6^2*x8^2+23277*x1*x7*x8^2+1113*x2*x7*x8^2+18706*x3*x7*x8^2+11075*x4*x7*x8^2+24610*x5*x7*x8^2+174*x6*x7*x8^2+11538*x7^2*x8^2+20795*x1*x8^3+29828*x2*x8^3+11233*x3*x8^3+15617*x4*x8^3+6440*x5*x8^3+14686*x6*x8^3+2334*x7*x8^3+7082*x8^4+4340*x3*x5*x6+21144*x4*x5*x6+25236*x5^2*x6+16625*x1*x6^2+3731*x2*x6^2+23258*x3*x6^2+18035*x4*x6^2+9872*x5*x6^2+5866*x6^3+22876*x2*x4*x7+1192*x1*x5*x7+13633*x2*x5*x7+31316*x3*x5*x7+24094*x4*x5*x7+13377*x5^2*x7+31682*x1*x6*x7+5814*x2*x6*x7+26546*x3*x6*x7+11163*x4*x6*x7+17370*x5*x6*x7+29442*x6^2*x7+11882*x1*x7^2+23357*x2*x7^2+22386*x3*x7^2+26601*x4*x7^2+2614*x5*x7^2+15016*x6*x7^2+14042*x7^3+8156*x2*x4*x8+13789*x4^2*x8+31119*x1*x5*x8+21532*x2*x5*x8+13021*x3*x5*x8+11563*x4*x5*x8+18239*x5^2*x8+11233*x1*x6*x8+7981*x2*x6*x8+21732*x3*x6*x8+28076*x4*x6*x8+8279*x5*x6*x8+28959*x6^2*x8+3377*x1*x7*x8+19556*x2*x7*x8+7641*x3*x7*x8+23491*x4*x7*x8+29896*x5*x7*x8+7413*x6*x7*x8+9011*x7^2*x8+20950*x1*x8^2+2013*x2*x8^2+16611*x3*x8^2+25117*x4*x8^2+6163*x5*x8^2+18606*x6*x8^2+23689*x7*x8^2+23856*x8^3+21428*x2*x4+17805*x4^2+9361*x1*x5+11345*x2*x5+25039*x3*x5+17109*x4*x5+14797*x5^2+12910*x1*x6+21676*x2*x6+4889*x3*x6+1290*x4*x6+19845*x5*x6+10159*x6^2+4654*x1*x7+5883*x2*x7+5778*x3*x7+13744*x4*x7+7869*x5*x7+1364*x6*x7+1934*x7^2+27989*x1*x8+18455*x2*x8+28207*x3*x8+8590*x4*x8+10003*x5*x8+29737*x6*x8+28280*x7*x8+26806*x8^2+2409*x1+17933*x2+12230*x3+5474*x4+8031*x5+19604*x6+30847*x7+8643*x8+12161
+1*x5*x6*x7^3+18463*x3*x5*x6*x8^2+19512*x4*x5*x6*x8^2+26386*x5^2*x6*x8^2+16982*x1*x6^2*x8^2+29353*x2*x6^2*x8^2+20576*x3*x6^2*x8^2+13520*x4*x6^2*x8^2+14801*x5*x6^2*x8^2+4346*x6^3*x8^2+13086*x2*x4*x7*x8^2+13840*x1*x5*x7*x8^2+23282*x2*x5*x7*x8^2+551*x3*x5*x7*x8^2+25292*x4*x5*x7*x8^2+19697*x5^2*x7*x8^2+23739*x1*x6*x7*x8^2+4690*x2*x6*x7*x8^2+19449*x3*x6*x7*x8^2+4884*x4*x6*x7*x8^2+6526*x5*x6*x7*x8^2+8708*x6^2*x7*x8^2+12246*x1*x7^2*x8^2+16248*x2*x7^2*x8^2+12855*x3*x7^2*x8^2+18792*x4*x7^2*x8^2+22422*x5*x7^2*x8^2+5558*x6*x7^2*x8^2+25624*x7^3*x8^2+8924*x2*x4*x8^3+15750*x4^2*x8^3+15268*x1*x5*x8^3+17857*x2*x5*x8^3+14947*x3*x5*x8^3+2782*x4*x5*x8^3+15640*x5^2*x8^3+11511*x1*x6*x8^3+14300*x2*x6*x8^3+14805*x3*x6*x8^3+4201*x4*x6*x8^3+20228*x5*x6*x8^3+385*x6^2*x8^3+25721*x1*x7*x8^3+10012*x2*x7*x8^3+8965*x3*x7*x8^3+8182*x4*x7*x8^3+13734*x5*x7*x8^3+15710*x6*x7*x8^3+8723*x7^2*x8^3+16847*x1*x8^4+12274*x2*x8^4+11374*x3*x8^4+3237*x4*x8^4+29864*x5*x8^4+30069*x6*x8^4+9839*x7*x8^4+10349*x8^5+21526*x5^2*x7^2+9082*x1*x6*x7^2+9797*x2*x6*x7^2+23621*x3*x6*x7^2+6470*x4*x6*x7^2+15504*x5*x6*x7^2+30721*x6^2*x7^2+20631*x1*x7^3+13802*x2*x7^3+12172*x3*x7^3+7397*x4*x7^3+26714*x5*x7^3+29961*x6*x7^3+17232*x7^4+9202*x3*x5*x6*x8+10370*x4*x5*x6*x8+14390*x5^2*x6*x8+24498*x1*x6^2*x8+28439*x2*x6^2*x8+10623*x3*x6^2*x8+20022*x4*x6^2*x8+25339*x5*x6^2*x8+5222*x6^3*x8+4324*x2*x4*x7*x8+514*x1*x5*x7*x8+7492*x2*x5*x7*x8+16249*x3*x5*x7*x8+21731*x4*x5*x7*x8+16837*x5^2*x7*x8+1013*x1*x6*x7*x8+25993*x2*x6*x7*x8+2978*x3*x6*x7*x8+24478*x4*x6*x7*x8+22183*x5*x6*x7*x8+15536*x6^2*x7*x8+28352*x1*x7^2*x8+6545*x2*x7^2*x8+19697*x3*x7^2*x8+21346*x4*x7^2*x8+7906*x5*x7^2*x8+10099*x6*x7^2*x8+12946*x7^3*x8+13506*x2*x4*x8^2+15789*x4^2*x8^2+9425*x1*x5*x8^2+30299*x2*x5*x8^2+14523*x3*x5*x8^2+9651*x4*x5*x8^2+344*x5^2*x8^2+26264*x1*x6*x8^2+22605*x2*x6*x8^2+7620*x3*x6*x8^2+13486*x4*x6*x8^2+3816*x5*x6*x8^2+20107*x6^2*x8^2+29054*x1*x7*x8^2+19041*x2*x7*x8^2+23953*x3*x7*x8^2+18355*x4*x7*x8^2+2669*x5*x7*x8^2+24876*x6*x7*x8^2+19850*x7^2*x8^2+2218*x1*x8^3+4995*x2*x8^3+3925*x3*x8^3+28190*x4*x8^3+6719*x5*x8^3+8525*x6*x8^3+15750*x7*x8^3+5975*x8^4+18981*x3*x5*x6+6813*x4*x5*x6+10783*x5^2*x6+11099*x1*x6^2+9179*x2*x6^2+338*x3*x6^2+19256*x4*x6^2+17748*x5*x6^2+2179*x6^3+24091*x2*x4*x7+7698*x1*x5*x7+7881*x2*x5*x7+19836*x3*x5*x7+17656*x4*x5*x7+27713*x5^2*x7+28502*x1*x6*x7+6069*x2*x6*x7+26065*x3*x6*x7+5206*x4*x6*x7+14116*x5*x6*x7+20785*x6^2*x7+19260*x1*x7^2+6820*x2*x7^2+28441*x3*x7^2+409*x4*x7^2+18383*x5*x7^2+5246*x6*x7^2+5110*x7^3+12266*x2*x4*x8+13666*x4^2*x8+22169*x1*x5*x8+11241*x2*x5*x8+16425*x3*x5*x8+19615*x4*x5*x8+19918*x5^2*x8+7284*x1*x6*x8+21258*x2*x6*x8+5392*x3*x6*x8+15454*x4*x6*x8+30560*x5*x6*x8+19648*x6^2*x8+30814*x1*x7*x8+29730*x2*x7*x8+12089*x3*x7*x8+3393*x4*x7*x8+12164*x5*x7*x8+5370*x6*x7*x8+3166*x7^2*x8+1905*x1*x8^2+25775*x2*x8^2+25499*x3*x8^2+24426*x4*x8^2+5785*x5*x8^2+14649*x6*x8^2+29029*x7*x8^2+31403*x8^3+24208*x2*x4+31663*x4^2+27534*x1*x5+3225*x2*x5+28220*x3*x5+29797*x4*x5+10860*x5^2+22715*x1*x6+10756*x2*x6+16300*x3*x6+2672*x4*x6+4461*x5*x6+31400*x6^2+31016*x1*x7+28416*x2*x7+15662*x3*x7+29852*x4*x7+17208*x5*x7+20679*x6*x7+7139*x7^2+11358*x1*x8+24136*x2*x8+923*x3*x8+5637*x4*x8+26659*x5*x8+24893*x6*x8+28963*x7*x8+17434*x8^2+16070*x1+17509*x2+7924*x3+22999*x4+28698*x5+16649*x6+13298*x7+11564*x8+13301
+1*x4*x6*x7^3+13113*x3*x5*x6*x8^2+27545*x4*x5*x6*x8^2+23978*x5^2*x6*x8^2+19246*x1*x6^2*x8^2+2042*x2*x6^2*x8^2+8639*x3*x6^2*x8^2+4278*x4*x6^2*x8^2+4340*x5*x6^2*x8^2+12181*x6^3*x8^2+20671*x2*x4*x7*x8^2+16537*x1*x5*x7*x8^2+15729*x2*x5*x7*x8^2+20283*x3*x5*x7*x8^2+26139*x4*x5*x7*x8^2+25541*x5^2*x7*x8^2+20184*x1*x6*x7*x8^2+27320*x2*x6*x7*x8^2+25175*x3*x6*x7*x8^2+29177*x4*x6*x7*x8^2+11686*x5*x6*x7*x8^2+11039*x6^2*x7*x8^2+22735*x1*x7^2*x8^2+31577*x2*x7^2*x8^2+13944*x3*x7^2*x8^2+10352*x4*x7^2*x8^2+28752*x5*x7^2*x8^2+4756*x6*x7^2*x8^2+27496*x7^3*x8^2+11107*x2*x4*x8^3+16074*x4^2*x8^3+2690*x1*x5*x8^3+28740*x2*x5*x8^3+6342*x3*x5*x8^3+3856*x4*x5*x8^3+5700*x5^2*x8^3+1880*x1*x6*x8^3+31878*x2*x6*x8^3+19865*x3*x6*x8^3+14101*x4*x6*x8^3+8355*x5*x6*x8^3+17088*x6^2*x8^3+17865*x1*x7*x8^3+1350*x2*x7*x8^3+16414*x3*x7*x8^3+24312*x4*x7*x8^3+21180*x5*x7*x8^3+17060*x6*x7*x8^3+9865*x7^2*x8^3+641*x1*x8^4+23156*x2*x8^4+8593*x3*x8^4+11403*x4*x8^4+6579*x5*x8^4+9658*x6*x8^4+27583*x7*x8^4+27027*x8^5+23663*x5^2*x7^2+11539*x1*x6*x7^2+31848*x2*x6*x7^2+11259*x3*x6*x7^2+30397*x4*x6*x7^2+13290*x5*x6*x7^2+981*x6^2*x7^2+3514*x1*x7^3+16851*x2*x7^3+3077*x3*x7^3+11704*x4*x7^3+15315*x5*x7^3+28390*x6*x7^3+21127*x7^4+21779*x3*x5*x6*x8+1192*x4*x5*x6*x8+24290*x5^2*x6*x8+17624*x1*x6^2*x8+11176*x2*x6^2*x8+19197*x3*x6^2*x8+12126*x4*x6^2*x8+8624*x5*x6^2*x8+517*x6^3*x8+11883*x2*x4*x7*x8+25704*x1*x5*x7*x8+16753*x2*x5*x7*x8+20372*x3*x5*x7*x8+31372*x4*x5*x7*x8+4622*x5^2*x7*x8+22271*x1*x6*x7*x8+1112*x2*x6*x7*x8+6779*x3*x6*x7*x8+27010*x4*x6*x7*x8+17103*x5*x6*x7*x8+17349*x6^2*x7*x8+5703*x1*x7^2*x8+20593*x2*x7^2*x8+13365*x3*x7^2*x8+29291*x4*x7^2*x8+30330*x5*x7^2*x8+15057*x6*x7^2*x8+20690*x7^3*x8+27875*x2*x4*x8^2+11583*x4^2*x8^2+19532*x1*x5*x8^2+8444*x2*x5*x8^2+27876*x3*x5*x8^2+30839*x4*x5*x8^2+2942*x5^2*x8^2+2877*x1*x6*x8^2+16526*x2*x6*x8^2+23072*x3*x6*x8^2+16068*x4*x6*x8^2+28152*x5*x6*x8^2+7507*x6^2*x8^2+6063*x1*x7*x8^2+13696*x2*x7*x8^2+10845*x3*x7*x8^2+19846*x4*x7*x8^2+9588*x5*x7*x8^2+7707*x6*x7*x8^2+4454*x7^2*x8^2+10916*x1*x8^3+16276*x2*x8^3+29603*x3*x8^3+26457*x4*x8^3+11805*x5*x8^3+9018*x6*x8^3+16728*x7*x8^3+31667*x8^4+30902*x3*x5*x6+27965*x4*x5*x6+24074*x5^2*x6+12130*x1*x6^2+19283*x2*x6^2+14155*x3*x6^2+468*x4*x6^2+52*x5*x6^2+15994*x6^3+11641*x2*x4*x7+9228*x1*x5*x7+15563*x2*x5*x7+16434*x3*x5*x7+25150*x4*x5*x7+8732*x5^2*x7+10891*x1*x6*x7+21365*x2*x6*x7+29731*x3*x6*x7+4719*x4*x6*x7+20853*x5*x6*x7+10382*x6^2*x7+8109*x1*x7^2+6827*x2*x7^2+990*x3*x7^2+7338*x4*x7^2+20904*x5*x7^2+1199*x6*x7^2+8290*x7^3+19861*x2*x4*x8+8657*x4^2*x8+12605*x1*x5*x8+21192*x2*x5*x8+9700*x3*x5*x8+10360*x4*x5*x8+20427*x5^2*x8+12293*x1*x6*x8+13908*x2*x6*x8+19396*x3*x6*x8+23767*x4*x6*x8+2420*x5*x6*x8+16376*x6^2*x8+21415*x1*x7*x8+1445*x2*x7*x8+22584*x3*x7*x8+2924*x4*x7*x8+2015*x5*x7*x8+28179*x6*x7*x8+23350*x7^2*x8+25909*x1*x8^2+5904*x2*x8^2+1685*x3*x8^2+31658*x4*x8^2+3072*x5*x8^2+22372*x6*x8^2+14702*x7*x8^2+15517*x8^3+24193*x2*x4+25406*x4^2+24805*x1*x5+29221*x2*x5+16618*x3*x5+2829*x4*x5+13588*x5^2+28253*x1*x6+7802*x2*x6+9844*x3*x6+10240*x4*x6+20594*x5*x6+16256*x6^2+13032*x1*x7+25039*x2*x7+2020*x3*x7+4658*x4*x7+30863*x5*x7+6118*x6*x7+21678*x7^2+28351*x1*x8+14146*x2*x8+1392*x3*x8+7653*x4*x8+28228*x5*x8+9595*x6*x8+3969*x7*x8+17745*x8^2+14837*x1+2036*x2+5938*x3+11003*x4+27224*x5+17162*x6+11395*x7+14953*x8+29668
+1*x3*x6*x7^3+28184*x3*x5*x6*x8^2+9573*x4*x5*x6*x8^2+2025*x5^2*x6*x8^2+5163*x1*x6^2*x8^2+22801*x2*x6^2*x8^2+21199*x3*x6^2*x8^2+8572*x4*x6^2*x8^2+21577*x5*x6^2*x8^2+27098*x6^3*x8^2+22961*x2*x4*x7*x8^2+11034*x1*x5*x7*x8^2+19002*x2*x5*x7*x8^2+15351*x3*x5*x7*x8^2+27086*x4*x5*x7*x8^2+13195*x5^2*x7*x8^2+601*x1*x6*x7*x8^2+11061*x2*x6*x7*x8^2+8561*x3*x6*x7*x8^2+28847*x4*x6*x7*x8^2+7887*x5*x6*x7*x8^2+5788*x6^2*x7*x8^2+2927*x1*x7^2*x8^2+6021*x2*x7^2*x8^2+16492*x3*x7^2*x8^2+6442*x4*x7^2*x8^2+2778*x5*x7^2*x8^2+12505*x6*x7^2*x8^2+15252*x7^3*x8^2+7354*x2*x4*x8^3+12412*x4^2*x8^3+13921*x1*x5*x8^3+26931*x2*x5*x8^3+925*x3*x5*x8^3+10932*x4*x5*x8^3+4815*x5^2*x8^3+29026*x1*x6*x8^3+19968*x2*x6*x8^3+15176*x3*x6*x8^3+20178*x4*x6*x8^3+18105*x5*x6*x8^3+2685*x6^2*x8^3+20848*x1*x7*x8^3+5562*x2*x7*x8^3+28481*x3*x7*x8^3+23413*x4*x7*x8^3+30806*x5*x7*x8^3+15718*x6*x7*x8^3+18430*x7^2*x8^3+10604*x1*x8^4+25013*x2*x8^4+18743*x3*x8^4+28972*x4*x8^4+20681*x5*x8^4+30770*x6*x8^4+17035*x7*x8^4+15809*x8^5+17237*x5^2*x7^2+23634*x1*x6*x7^2+3278*x2*x6*x7^2+29918*x3*x6*x7^2+2936*x4*x6*x7^2+7863*x5*x6*x7^2+29322*x6^2*x7^2+16301*x1*x7^3+23415*x2*x7^3+27779*x3*x7^3+22698*x4*x7^3+4792*x5*x7^3+15848*x6*x7^3+26528*x7^4+27382*x3*x5*x6*x8+4719*x4*x5*x6*x8+20113*x5^2*x6*x8+12401*x1*x6^2*x8+17748*x2*x6^2*x8+3597*x3*x6^2*x8+16067*x4*x6^2*x8+4380*x5*x6^2*x8+28304*x6^3*x8+15152*x2*x4*x7*x8+4756*x1*x5*x7*x8+24339*x2*x5*x7*x8+6429*x3*x5*x7*x8+27242*x4*x5*x7*x8+15809*x5^2*x7*x8+3648*x1*x6*x7*x8+6358*x2*x6*x7*x8+9918*x3*x6*x7*x8+3233*x4*x6*x7*x8+14791*x5*x6*x7*x8+21720*x6^2*x7*x8+22229*x1*x7^2*x8+25102*x2*x7^2*x8+20479*x3*x7^2*x8+11127*x4*x7^2*x8+16798*x5*x7^2*x8+5837*x6*x7^2*x8+1404*x7^3*x8+1406*x2*x4*x8^2+24426*x4^2*x8^2+21657*x1*x5*x8^2+11484*x2*x5*x8^2+11285*x3*x5*x8^2+8667*x4*x5*x8^2+12836*x5^2*x8^2+10983*x1*x6*x8^2+27626*x2*x6*x8^2+4630*x3*x6*x8^2+12805*x4*x6*x8^2+600*x5*x6*x8^2+13826*x6^2*x8^2+8823*x1*x7*x8^2+19460*x2*x7*x8^2+12448*x3*x7*x8^2+23221*x4*x7*x8^2+28895*x5*x7*x8^2+22036*x6*x7*x8^2+3449*x7^2*x8^2+16829*x1*x8^3+9694*x2*x8^3+11829*x3*x8^3+17078*x4*x8^3+21430*x5*x8^3+28636*x6*x8^3+1013*x7*x8^3+28979*x8^4+9336*x3*x5*x6+5874*x4*x5*x6+21007*x5^2*x6+13157*x1*x6^2+17214*x2*x6^2+183*x3*x6^2+13679*x4*x6^2+19653*x5*x6^2+6987*x6^3+25218*x2*x4*x7+19238*x1*x5*x7+13707*x2*x5*x7+7644*x3*x5*x7+8153*x4*x5*x7+3301*x5^2*x7+6268*x1*x6*x7+2496*x2*x6*x7+21611*x3*x6*x7+16717*x4*x6*x7+8788*x5*x6*x7+5982*x6^2*x7+10175*x1*x7^2+15369*x2*x7^2+28285*x3*x7^2+9745*x4*x7^2+7035*x5*x7^2+21373*x6*x7^2+26568*x7^3+2812*x2*x4*x8+5059*x4^2*x8+7479*x1*x5*x8+14133*x2*x5*x8+9422*x3*x5*x8+16609*x4*x5*x8+30997*x5^2*x8+10617*x1*x6*x8+27883*x2*x6*x8+17654*x3*x6*x8+26550*x4*x6*x8+942*x5*x6*x8+25968*x6^2*x8+20465*x1*x7*x8+15983*x2*x7*x8+10083*x3*x7*x8+19968*x4*x7*x8+21871*x5*x7*x8+7552*x6*x7*x8+12751*x7^2*x8+30346*x1*x8^2+31220*x2*x8^2+10892*x3*x8^2+31078*x4*x8^2+4203*x5*x8^2+6951*x6*x8^2+3053*x7*x8^2+17145*x8^3+95*x2*x4+148*x4^2+17854*x1*x5+11162*x2*x5+10297*x3*x5+20865*x4*x5+12769*x5^2+4367*x1*x6+5835*x2*x6+21304*x3*x6+5701*x4*x6+8556*x5*x6+22504*x6^2+20913*x1*x7+5703*x2*x7+23033*x3*x7+13670*x4*x7+25529*x5*x7+8307*x6*x7+28391*x7^2+1021*x1*x8+20193*x2*x8+31226*x3*x8+29614*x4*x8+4157*x5*x8+25282*x6*x8+2288*x7*x8+25176*x8^2+24438*x1+28570*x2+16419*x3+2582*x4+1227*x5+19623*x6+8450*x7+25205*x8+14472
+1*x2*x6*x7^3+17426*x3*x5*x6*x8^2+14284*x4*x5*x6*x8^2+2713*x5^2*x6*x8^2+19811*x1*x6^2*x8^2+24614*x2*x6^2*x8^2+23590*x3*x6^2*x8^2+3417*x4*x6^2*x8^2+23251*x5*x6^2*x8^2+24058*x6^3*x8^2+14229*x2*x4*x7*x8^2+27144*x1*x5*x7*x8^2+9204*x2*x5*x7*x8^2+30823*x3*x5*x7*x8^2+8528*x4*x5*x7*x8^2+1515*x5^2*x7*x8^2+30232*x1*x6*x7*x8^2+17445*x2*x6*x7*x8^2+7035*x3*x6*x7*x8^2+3106*x4*x6*x7*x8^2+23376*x5*x6*x7*x8^2+4298*x6^2*x7*x8^2+15373*x1*x7^2*x8^2+1038*x2*x7^2*x8^2+25227*x3*x7^2*x8^2+27674*x4*x7^2*x8^2+30045*x5*x7^2*x8^2+25859*x6*x7^2*x8^2+18634*x7^3*x8^2+16937*x2*x4*x8^3+26746*x4^2*x8^3+25547*x1*x5*x8^3+25551*x2*x5*x8^3+3831*x3*x5*x8^3+12820*x4*x5*x8^3+21523*x5^2*x8^3+20860*x1*x6*x8^3+23881*x2*x6*x8^3+12488*x3*x6*x8^3+13774*x4*x6*x8^3+31724*x5*x6*x8^3+15939*x6^2*x8^3+29341*x1*x7*x8^3+23294*x2*x7*x8^3+31729*x3*x7*x8^3+13527*x4*x7*x8^3+16693*x5*x7*x8^3+29779*x6*x7*x8^3+12667*x7^2*x8^3+21945*x1*x8^4+16267*x2*x8^4+8690*x3*x8^4+9696*x4*x8^4+12878*x5*x8^4+27587*x6*x8^4+26420*x7*x8^4+25065*x8^5+5609*x5^2*x7^2+23774*x1*x6*x7^2+21978*x2*x6*x7^2+8147*x3*x6*x7^2+6775*x4*x6*x7^2+381*x5*x6*x7^2+5830*x6^2*x7^2+25708*x1*x7^3+5009*x2*x7^3+16497*x3*x7^3+1814*x4*x7^3+18868*x5*x7^3+18491*x6*x7^3+12713*x7^4+4355*x3*x5*x6*x8+28603*x4*x5*x6*x8+19220*x5^2*x6*x8+23595*x1*x6^2*x8+24869*x2*x6^2*x8+2769*x3*x6^2*x8+1631*x4*x6^2*x8+25947*x5*x6^2*x8+1899*x6^3*x8+11785*x2*x4*x7*x8+9728*x1*x5*x7*x8+9121*x2*x5*x7*x8+24058*x3*x5*x7*x8+19771*x4*x5*x7*x8+25362*x5^2*x7*x8+8810*x1*x6*x7*x8+30181*x2*x6*x7*x8+8942*x3*x6*x7*x8+7931*x4*x6*x7*x8+31091*x5*x6*x7*x8+19351*x6^2*x7*x8+26930*x1*x7^2*x8+21239*x2*x7^2*x8+11083*x3*x7^2*x8+7372*x4*x7^2*x8+27244*x5*x7^2*x8+15815*x6*x7^2*x8+31013*x7^3*x8+20139*x2*x4*x8^2+30297*x4^2*x8^2+1777*x1*x5*x8^2+18539*x2*x5*x8^2+29495*x3*x5*x8^2+3044*x4*x5*x8^2+9149*x5^2*x8^2+28345*x1*x6*x8^2+1835*x2*x6*x8^2+2426*x3*x6*x8^2+12247*x4*x6*x8^2+23741*x5*x6*x8^2+12582*x6^2*x8^2+14288*x1*x7*x8^2+6300*x2*x7*x8^2+27942*x3*x7*x8^2+7277*x4*x7*x8^2+23225*x5*x7*x8^2+4686*x6*x7*x8^2+30989*x7^2*x8^2+21294*x1*x8^3+7484*x2*x8^3+30110*x3*x8^3+1851*x4*x8^3+10711*x5*x8^3+31902*x6*x8^3+6165*x7*x8^3+25277*x8^4+6906*x3*x5*x6+21414*x4*x5*x6+17729*x5^2*x6+29462*x1*x6^2+1175*x2*x6^2+16862*x3*x6^2+30231*x4*x6^2+16587*x5*x6^2+24988*x6^3+18124*x2*x4*x7+13229*x1*x5*x7+9451*x2*x5*x7+26852*x3*x5*x7+17806*x4*x5*x7+7949*x5^2*x7+310*x1*x6*x7+24579*x2*x6*x7+25785*x3*x6*x7+9528*x4*x6*x7+2230*x5*x6*x7+31617*x6^2*x7+16031*x1*x7^2+25356*x2*x7^2+26240*x3*x7^2+28*x4*x7^2+1829*x5*x7^2+7431*x6*x7^2+10745*x7^3+29014*x2*x4*x8+28926*x4^2*x8+22934*x1*x5*x8+31689*x2*x5*x8+23023*x3*x5*x8+1782*x4*x5*x8+9602*x5^2*x8+9318*x1*x6*x8+18521*x2*x6*x8+10518*x3*x6*x8+7742*x4*x6*x8+16951*x5*x6*x8+15873*x6^2*x8+20829*x1*x7*x8+440*x2*x7*x8+23667*x3*x7*x8+16007*x4*x7*x8+6944*x5*x7*x8+3476*x6*x7*x8+7669*x7^2*x8+24892*x1*x8^2+14038*x2*x8^2+21719*x3*x8^2+22908*x4*x8^2+28578*x5*x8^2+23539*x6*x8^2+20298*x7*x8^2+29872*x8^3+13459*x2*x4+7222*x4^2+21531*x1*x5+860*x2*x5+27998*x3*x5+30026*x4*x5+11281*x5^2+2879*x1*x6+24019*x2*x6+16536*x3*x6+19775*x4*x6+18659*x5*x6+23660*x6^2+22489*x1*x7+30730*x2*x7+18593*x3*x7+28525*x4*x7+16150*x5*x7+10309*x6*x7+20059*x7^2+21737*x1*x8+19064*x2*x8+7401*x3*x8+12667*x4*x8+31136*x5*x8+15032*x6*x8+27936*x7*x8+12706*x8^2+24199*x1+1809*x2+18898*x3+16748*x4+15402*x5+30146*x6+28431*x7+30435*x8+666
+1*x1*x6*x7^3+26211*x3*x5*x6*x8^2+14765*x4*x5*x6*x8^2+27903*x5^2*x6*x8^2+8148*x1*x6^2*x8^2+30030*x2*x6^2*x8^2+25595*x3*x6^2*x8^2+4337*x4*x6^2*x8^2+25017*x5*x6^2*x8^2+7921*x6^3*x8^2+10581*x2*x4*x7*x8^2+3233*x1*x5*x7*x8^2+30829*x2*x5*x7*x8^2+11920*x3*x5*x7*x8^2+28260*x4*x5*x7*x8^2+16723*x5^2*x7*x8^2+30844*x1*x6*x7*x8^2+28928*x2*x6*x7*x8^2+30200*x3*x6*x7*x8^2+22118*x4*x6*x7*x8^2+13183*x5*x6*x7*x8^2+12709*x6^2*x7*x8^2+4087*x1*x7^2*x8^2+30058*x2*x7^2*x8^2+24638*x3*x7^2*x8^2+27229*x4*x7^2*x8^2+30054*x5*x7^2*x8^2+15086*x6*x7^2*x8^2+20666*x7^3*x8^2+6239*x2*x4*x8^3+29172*x4^2*x8^3+15476*x1*x5*x8^3+31643*x2*x5*x8^3+7728*x3*x5*x8^3+1015*x4*x5*x8^3+18426*x5^2*x8^3+31614*x1*x6*x8^3+30243*x2*x6*x8^3+25183*x3*x6*x8^3+14161*x4*x6*x8^3+15396*x5*x6*x8^3+30895*x6^2*x8^3+14536*x1*x7*x8^3+21163*x2*x7*x8^3+9017*x3*x7*x8^3+25601*x4*x7*x8^3+15365*x5*x7*x8^3+9180*x6*x7*x8^3+30795*x7^2*x8^3+4847*x1*x8^4+27961*x2*x8^4+24607*x3*x8^4+22480*x4*x8^4+17330*x5*x8^4+1575*x6*x8^4+31241*x7*x8^4+7122*x8^5+5687*x5^2*x7^2+27533*x1*x6*x7^2+30369*x2*x6*x7^2+17582*x3*x6*x7^2+7054*x4*x6*x7^2+11307*x5*x6*x7^2+17731*x6^2*x7^2+27861*x1*x7^3+24785*x2*x7^3+28200*x3*x7^3+8983*x4*x7^3+15906*x5*x7^3+3515*x6*x7^3+17066*x7^4+4997*x3*x5*x6*x8+27446*x4*x5*x6*x8+19586*x5^2*x6*x8+1648*x1*x6^2*x8+24157*x2*x6^2*x8+6620*x3*x6^2*x8+27313*x4*x6^2*x8+19250*x5*x6^2*x8+5282*x6^3*x8+27917*x2*x4*x7*x8+16232*x1*x5*x7*x8+22173*x2*x5*x7*x8+30187*x3*x5*x7*x8+18225*x4*x5*x7*x8+29161*x5^2*x7*x8+16635*x1*x6*x7*x8+30858*x2*x6*x7*x8+27520*x3*x6*x7*x8+7085*x4*x6*x7*x8+5987*x5*x6*x7*x8+10644*x6^2*x7*x8+24953*x1*x7^2*x8+25279*x2*x7^2*x8+24686*x3*x7^2*x8+8995*x4*x7^2*x8+27309*x5*x7^2*x8+20419*x6*x7^2*x8+20230*x7^3*x8+7227*x2*x4*x8^2+12285*x4^2*x8^2+19186*x1*x5*x8^2+11672*x2*x5*x8^2+17990*x3*x5*x8^2+15971*x4*x5*x8^2+16515*x5^2*x8^2+10134*x1*x6*x8^2+11865*x2*x6*x8^2+4226*x3*x6*x8^2+19848*x4*x6*x8^2+31305*x5*x6*x8^2+20348*x6^2*x8^2+19714*x1*x7*x8^2+28426*x2*x7*x8^2+17542*x3*x7*x8^2+30559*x4*x7*x8^2+4413*x5*x7*x8^2+29828*x6*x7*x8^2+18832*x7^2*x8^2+6114*x1*x8^3+19787*x2*x8^3+22299*x3*x8^3+19983*x4*x8^3+30808*x5*x8^3+17466*x6*x8^3+12092*x7*x8^3+17497*x8^4+19491*x3*x5*x6+18891*x4*x5*x6+22546*x5^2*x6+15167*x1*x6^2+30101*x2*x6^2+13055*x3*x6^2+8461*x4*x6^2+19814*x5*x6^2+1521*x6^3+7249*x2*x4*x7+23795*x1*x5*x7+7000*x2*x5*x7+21710*x3*x5*x7+28671*x4*x5*x7+31427*x5^2*x7+29912*x1*x6*x7+28665*x2*x6*x7+15142*x3*x6*x7+12797*x4*x6*x7+23898*x5*x6*x7+1340*x6^2*x7+29081*x1*x7^2+16671*x2*x7^2+7957*x3*x7^2+855*x4*x7^2+15499*x5*x7^2+8975*x6*x7^2+28470*x7^3+23904*x2*x4*x8+586*x4^2*x8+1165*x1*x5*x8+4592*x2*x5*x8+22338*x3*x5*x8+7028*x4*x5*x8+13917*x5^2*x8+31075*x1*x6*x8+6590*x2*x6*x8+23410*x3*x6*x8+27321*x4*x6*x8+5968*x5*x6*x8+27186*x6^2*x8+11968*x1*x7*x8+30980*x2*x7*x8+25142*x3*x7*x8+1334*x4*x7*x8+24783*x5*x7*x8+18348*x6*x7*x8+28885*x7^2*x8+11141*x1*x8^2+3859*x2*x8^2+21478*x3*x8^2+25207*x4*x8^2+14049*x5*x8^2+26660*x6*x8^2+7955*x7*x8^2+30541*x8^3+7098*x2*x4+21382*x4^2+29552*x1*x5+30805*x2*x5+12171*x3*x5+23810*x4*x5+16249*x5^2+20590*x1*x6+3819*x2*x6+11009*x3*x6+31012*x4*x6+16771*x5*x6+269*x6^2+12477*x1*x7+25248*x2*x7+4698*x3*x7+23799*x4*x7+12939*x5*x7+12181*x6*x7+8443*x7^2+960*x1*x8+553*x2*x8+1739*x3*x8+1707*x4*x8+13726*x5*x8+2563*x6*x8+10167*x7*x8+29869*x8^2+21899*x1+2*x2+22353*x3+26463*x4+9649*x5+7883*x6+23598*x7+25217*x8+31320
+1*x5^2*x7^3+24994*x3*x5*x6*x8^2+27336*x4*x5*x6*x8^2+24418*x5^2*x6*x8^2+828*x1*x6^2*x8^2+3703*x2*x6^2*x8^2+9193*x3*x6^2*x8^2+6815*x4*x6^2*x8^2+5239*x5*x6^2*x8^2+14082*x6^3*x8^2+24759*x2*x4*x7*x8^2+24157*x1*x5*x7*x8^2+31851*x2*x5*x7*x8^2+31584*x3*x5*x7*x8^2+14582*x4*x5*x7*x8^2+19670*x5^2*x7*x8^2+15141*x1*x6*x7*x8^2+10581*x2*x6*x7*x8^2+31033*x3*x6*x7*x8^2+22740*x4*x6*x7*x8^2+2819*x5*x6*x7*x8^2+11817*x6^2*x7*x8^2+23433*x1*x7^2*x8^2+26201*x2*x7^2*x8^2+10202*x3*x7^2*x8^2+24265*x4*x7^2*x8^2+18357*x5*x7^2*x8^2+17929*x6*x7^2*x8^2+9046*x7^3*x8^2+16120*x2*x4*x8^3+17416*x4^2*x8^3+22104*x1*x5*x8^3+26010*x2*x5*x8^3+13075*x3*x5*x8^3+26930*x4*x5*x8^3+6137*x5^2*x8^3+15154*x1*x6*x8^3+31218*x2*x6*x8^3+15025*x3*x6*x8^3+31076*x4*x6*x8^3+24664*x5*x6*x8^3+23046*x6^2*x8^3+9092*x1*x7*x8^3+5282*x2*x7*x8^3+25992*x3*x7*x8^3+21025*x4*x7*x8^3+15444*x5*x7*x8^3+11513*x6*x7*x8^3+2940*x7^2*x8^3+30729*x1*x8^4+5326*x2*x8^4+28001*x3*x8^4+30627*x4*x8^4+15829*x5*x8^4+532*x6*x8^4+16250*x7*x8^4+21914*x8^5+27816*x5^2*x7^2+15926*x1*x6*x7^2+31144*x2*x6*x7^2+776*x3*x6*x7^2+3381*x4*x6*x7^2+483*x5*x6*x7^2+2641*x6^2*x7^2+23992*x1*x7^3+1664*x2*x7^3+28179*x3*x7^3+22234*x4*x7^3+7114*x5*x7^3+26476*x6*x7^3+28173*x7^4+16055*x3*x5*x6*x8+25845*x4*x5*x6*x8+14867*x5^2*x6*x8+12728*x1*x6^2*x8+2978*x2*x6^2*x8+1696*x3*x6^2*x8+30597*x4*x6^2*x8+324*x5*x6^2*x8+27744*x6^3*x8+20285*x2*x4*x7*x8+23663*x1*x5*x7*x8+9071*x2*x5*x7*x8+209*x3*x5*x7*x8+11689*x4*x5*x7*x8+3742*x5^2*x7*x8+7347*x1*x6*x7*x8+28076*x2*x6*x7*x8+30885*x3*x6*x7*x8+31956*x4*x6*x7*x8+27698*x5*x6*x7*x8+737*x6^2*x7*x8+384*x1*x7^2*x8+28719*x2*x7^2*x8+21496*x3*x7^2*x8+31553*x4*x7^2*x8+11623*x5*x7^2*x8+31990*x6*x7^2*x8+24801*x7^3*x8+8450*x2*x4*x8^2+20849*x4^2*x8^2+2233*x1*x5*x8^2+20780*x2*x5*x8^2+10962*x3*x5*x8^2+27868*x4*x5*x8^2+19659*x5^2*x8^2+3660*x1*x6*x8^2+4666*x2*x6*x8^2+586*x3*x6*x8^2+26902*x4*x6*x8^2+18913*x5*x6*x8^2+8981*x6^2*x8^2+2404*x1*x7*x8^2+1847*x2*x7*x8^2+5140*x3*x7*x8^2+6721*x4*x7*x8^2+31099*x5*x7*x8^2+8144*x6*x7*x8^2+1775*x7^2*x8^2+13901*x1*x8^3+23551*x2*x8^3+22051*x3*x8^3+29651*x4*x8^3+4246*x5*x8^3+11686*x6*x8^3+11795*x7*x8^3+12803*x8^4+19325*x3*x5*x6+27644*x4*x5*x6+9940*x5^2*x6+15457*x1*x6^2+14668*x2*x6^2+5438*x3*x6^2+6275*x4*x6^2+18206*x5*x6^2+16381*x6^3+20416*x2*x4*x7+11971*x1*x5*x7+22673*x2*x5*x7+6573*x3*x5*x7+9588*x4*x5*x7+29256*x5^2*x7+27288*x1*x6*x7+5811*x2*x6*x7+15328*x3*x6*x7+26009*x4*x6*x7+29566*x5*x6*x7+15985*x6^2*x7+10850*x1*x7^2+7055*x2*x7^2+21783*x3*x7^2+1596*x4*x7^2+9806*x5*x7^2+324*x6*x7^2+12570*x7^3+506*x2*x4*x8+3264*x4^2*x8+184*x1*x5*x8+25906*x2*x5*x8+28744*x3*x5*x8+14461*x4*x5*x8+16889*x5^2*x8+27453*x1*x6*x8+16526*x2*x6*x8+26856*x3*x6*x8+7853*x4*x6*x8+30942*x5*x6*x8+11760*x6^2*x8+7558*x1*x7*x8+21069*x2*x7*x8+7118*x3*x7*x8+8331*x4*x7*x8+20960*x5*x7*x8+21162*x6*x7*x8+30417*x7^2*x8+17314*x1*x8^2+2409*x2*x8^2+9390*x3*x8^2+31950*x4*x8^2+20652*x5*x8^2+22449*x6*x8^2+12018*x7*x8^2+9926*x8^3+29818*x2*x4+25687*x4^2+16643*x1*x5+21451*x2*x5+14370*x3*x5+7914*x4*x5+4938*x5^2+30911*x1*x6+21190*x2*x6+6079*x3*x6+1498*x4*x6+9066*x5*x6+11866*x6^2+30782*x1*x7+20512*x2*x7+18056*x3*x7+30576*x4*x7+31550*x5*x7+562*x6*x7+27999*x7^2+7271*x1*x8+8013*x2*x8+28409*x3*x8+12706*x4*x8+14617*x5*x8+23188*x6*x8+10749*x7*x8+11050*x8^2+21222*x1+5901*x2+23611*x3+10568*x4+13780*x5+9345*x6+6756*x7+20489*x8+29232
+1*x7^3*x8^3+7545*x2*x4*x8^4+27028*x4^2*x8^4+27951*x1*x5*x8^4+2461*x2*x5*x8^4+19680*x3*x5*x8^4+15896*x4*x5*x8^4+17126*x5^2*x8^4+11222*x1*x6*x8^4+7182*x2*x6*x8^4+22620*x3*x6*x8^4+1435*x4*x6*x8^4+27918*x5*x6*x8^4+30515*x6^2*x8^4+15044*x1*x7*x8^4+9276*x2*x7*x8^4+31316*x3*x7*x8^4+4335*x4*x7*x8^4+4037*x5*x7*x8^4+20909*x6*x7*x8^4+18895*x7^2*x8^4+13239*x1*x8^5+6217*x2*x8^5+20176*x3*x8^5+256*x4*x8^5+22491*x5*x8^5+24467*x6*x8^5+8152*x7*x8^5+7887*x8^6+5127*x3*x5*x6*x8^2+1943*x4*x5*x6*x8^2+8981*x5^2*x6*x8^2+10006*x1*x6^2*x8^2+31526*x2*x6^2*x8^2+28458*x3*x6^2*x8^2+4630*x4*x6^2*x8^2+9591*x5*x6^2*x8^2+20341*x6^3*x8^2+17353*x2*x4*x7*x8^2+25235*x1*x5*x7*x8^2+11493*x2*x5*x7*x8^2+18677*x3*x5*x7*x8^2+20216*x4*x5*x7*x8^2+13478*x5^2*x7*x8^2+13527*x1*x6*x7*x8^2+6631*x2*x6*x7*x8^2+28433*x3*x6*x7*x8^2+9059*x4*x6*x7*x8^2+31246*x5*x6*x7*x8^2+28111*x6^2*x7*x8^2+24531*x1*x7^2*x8^2+24732*x2*x7^2*x8^2+17032*x3*x7^2*x8^2+4924*x4*x7^2*x8^2+9958*x5*x7^2*x8^2+15647*x6*x7^2*x8^2+15142*x7^3*x8^2+30519*x2*x4*x8^3+31825*x4^2*x8^3+18932*x1*x5*x8^3+948*x2*x5*x8^3+29326*x3*x5*x8^3+26305*x4*x5*x8^3+7352*x5^2*x8^3+19118*x1*x6*x8^3+5607*x2*x6*x8^3+18268*x3*x6*x8^3+17406*x4*x6*x8^3+3126*x5*x6*x8^3+12919*x6^2*x8^3+10223*x1*x7*x8^3+24692*x2*x7*x8^3+12684*x3*x7*x8^3+12602*x4*x7*x8^3+21519*x5*x7*x8^3+30983*x6*x7*x8^3+11100*x7^2*x8^3+31021*x1*x8^4+28511*x2*x8^4+31713*x3*x8^4+27802*x4*x8^4+14143*x5*x8^4+30954*x6*x8^4+13056*x7*x8^4+28522*x8^5+16520*x5^2*x7^2+27891*x1*x6*x7^2+2073*x2*x6*x7^2+8813*x3*x6*x7^2+10247*x4*x6*x7^2+24165*x5*x6*x7^2+31759*x6^2*x7^2+17220*x1*x7^3+9406*x2*x7^3+291*x3*x7^3+323*x4*x7^3+2533*x5*x7^3+11810*x6*x7^3+1950*x7^4+24719*x3*x5*x6*x8+17504*x4*x5*x6*x8+1702*x5^2*x6*x8+24764*x1*x6^2*x8+7489*x2*x6^2*x8+455*x3*x6^2*x8+24780*x4*x6^2*x8+20017*x5*x6^2*x8+20987*x6^3*x8+9166*x2*x4*x7*x8+10008*x1*x5*x7*x8+2654*x2*x5*x7*x8+1293*x3*x5*x7*x8+24968*x4*x5*x7*x8+25267*x5^2*x7*x8+16968*x1*x6*x7*x8+5546*x2*x6*x7*x8+1046*x3*x6*x7*x8+15974*x4*x6*x7*x8+7991*x5*x6*x7*x8+16131*x6^2*x7*x8+2375*x1*x7^2*x8+9707*x2*x7^2*x8+15302*x3*x7^2*x8+23067*x4*x7^2*x8+22222*x5*x7^2*x8+18504*x6*x7^2*x8+14826*x7^3*x8+18928*x2*x4*x8^2+7483*x4^2*x8^2+12361*x1*x5*x8^2+7030*x2*x5*x8^2+19527*x3*x5*x8^2+14272*x4*x5*x8^2+29479*x5^2*x8^2+6373*x1*x6*x8^2+21988*x2*x6*x8^2+14892*x3*x6*x8^2+24910*x4*x6*x8^2+28021*x5*x6*x8^2+26518*x6^2*x8^2+6310*x1*x7*x8^2+4841*x2*x7*x8^2+21617*x3*x7*x8^2+8496*x4*x7*x8^2+19711*x5*x7*x8^2+2960*x6*x7*x8^2+4849*x7^2*x8^2+12599*x1*x8^3+22741*x2*x8^3+22857*x3*x8^3+8222*x4*x8^3+18574*x5*x8^3+17257*x6*x8^3+8736*x7*x8^3+4789*x8^4+10*x3*x5*x6+20139*x4*x5*x6+4048*x5^2*x6+22602*x1*x6^2+1695*x2*x6^2+8993*x3*x6^2+23565*x4*x6^2+6844*x5*x6^2+22092*x6^3+5073*x2*x4*x7+2226*x1*x5*x7+8334*x2*x5*x7+20599*x3*x5*x7+23905*x4*x5*x7+5938*x5^2*x7+14103*x1*x6*x7+2033*x2*x6*x7+13108*x3*x6*x7+10310*x4*x6*x7+18378*x5*x6*x7+11893*x6^2*x7+13622*x1*x7^2+14400*x2*x7^2+22169*x3*x7^2+2996*x4*x7^2+13963*x5*x7^2+23808*x6*x7^2+10556*x7^3+29539*x2*x4*x8+13308*x4^2*x8+11767*x1*x5*x8+29281*x2*x5*x8+28127*x3*x5*x8+8075*x4*x5*x8+12041*x5^2*x8+27253*x1*x6*x8+28179*x2*x6*x8+20465*x3*x6*x8+1478*x4*x6*x8+30584*x5*x6*x8+8013*x6^2*x8+19548*x1*x7*x8+19049*x2*x7*x8+17666*x3*x7*x8+23779*x4*x7*x8+23421*x5*x7*x8+23843*x6*x7*x8+11546*x7^2*x8+12403*x1*x8^2+20935*x2*x8^2+10358*x3*x8^2+29756*x4*x8^2+6008*x5*x8^2+29555*x6*x8^2+17495*x7*x8^2+4994*x8^3+16751*x2*x4+29997*x4^2+21953*x1*x5+12236*x2*x5+10646*x3*x5+13649*x4*x5+3442*x5^2+14495*x1*x6+6518*x2*x6+23704*x3*x6+11889*x4*x6+17000*x5*x6+14648*x6^2+25924*x1*x7+673*x2*x7+5173*x3*x7+23236*x4*x7+30629*x5*x7+14732*x6*x7+15115*x7^2+6107*x1*x8+24699*x2*x8+27974*x3*x8+14992*x4*x8+28255*x5*x8+31756*x6*x8+29145*x7*x8+21494*x8^2+31133*x1+4888*x2+24450*x3+19992*x4+23825*x5+25177*x6+25090*x7+13036*x8+10799
+1*x6*x7^2*x8^3+20740*x2*x4*x8^4+11444*x4^2*x8^4+10510*x1*x5*x8^4+20193*x2*x5*x8^4+7226*x3*x5*x8^4+16548*x4*x5*x8^4+8919*x5^2*x8^4+14072*x1*x6*x8^4+13987*x2*x6*x8^4+16330*x3*x6*x8^4+8565*x4*x6*x8^4+17284*x5*x6*x8^4+7938*x6^2*x8^4+23611*x1*x7*x8^4+21176*x2*x7*x8^4+2459*x3*x7*x8^4+30963*x4*x7*x8^4+21869*x5*x7*x8^4+22423*x6*x7*x8^4+5489*x7^2*x8^4+23529*x1*x8^5+23264*x2*x8^5+8972*x3*x8^5+28779*x4*x8^5+31438*x5*x8^5+18653*x6*x8^5+14811*x7*x8^5+31349*x8^6+30534*x3*x5*x6*x8^2+8988*x4*x5*x6*x8^2+25276*x5^2*x6*x8^2+21766*x1*x6^2*x8^2+29565*x2*x6^2*x8^2+4529*x3*x6^2*x8^2+28808*x4*x6^2*x8^2+9473*x5*x6^2*x8^2+8041*x6^3*x8^2+1809*x2*x4*x7*x8^2+25094*x1*x5*x7*x8^2+5689*x2*x5*x7*x8^2+3109*x3*x5*x7*x8^2+1655*x4*x5*x7*x8^2+8433*x5^2*x7*x8^2+12366*x1*x6*x7*x8^2+22121*x2*x6*x7*x8^2+8250*x3*x6*x7*x8^2+3762*x4*x6*x7*x8^2+26184*x5*x6*x7*x8^2+1468*x6^2*x7*x8^2+10280*x1*x7^2*x8^2+15062*x2*x7^2*x8^2+10848*x3*x7^2*x8^2+14570*x4*x7^2*x8^2+1891*x5*x7^2*x8^2+31391*x6*x7^2*x8^2+12625*x7^3*x8^2+2180*x2*x4*x8^3+7628*x4^2*x8^3+18709*x1*x5*x8^3+18165*x2*x5*x8^3+6322*x3*x5*x8^3+23205*x4*x5*x8^3+5012*x5^2*x8^3+3920*x1*x6*x8^3+13670*x2*x6*x8^3+13763*x3*x6*x8^3+24986*x4*x6*x8^3+13376*x5*x6*x8^3+24879*x6^2*x8^3+14891*x1*x7*x8^3+18717*x2*x7*x8^3+30495*x3*x7*x8^3+19800*x4*x7*x8^3+2769*x5*x7*x8^3+22637*x6*x7*x8^3+16696*x7^2*x8^3+26857*x1*x8^4+27479*x2*x8^4+6827*x3*x8^4+29981*x4*x8^4+28839*x5*x8^4+26132*x6*x8^4+6359*x7*x8^4+6207*x8^5+19276*x5^2*x7^2+26096*x1*x6*x7^2+6282*x2*x6*x7^2+16846*x3*x6*x7^2+2125*x4*x6*x7^2+20159*x5*x6*x7^2+21483*x6^2*x7^2+446*x1*x7^3+28460*x2*x7^3+27035*x3*x7^3+16231*x4*x7^3+11720*x5*x7^3+20850*x6*x7^3+16722*x7^4+28514*x3*x5*x6*x8+22986*x4*x5*x6*x8+18255*x5^2*x6*x8+27078*x1*x6^2*x8+22718*x2*x6^2*x8+5800*x3*x6^2*x8+3753*x4*x6^2*x8+25509*x5*x6^2*x8+29889*x6^3*x8+22589*x2*x4*x7*x8+3835*x1*x5*x7*x8+19191*x2*x5*x7*x8+7596*x3*x5*x7*x8+21545*x4*x5*x7*x8+27572*x5^2*x7*x8+21037*x1*x6*x7*x8+16915*x2*x6*x7*x8+2112*x3*x6*x7*x8+5363*x4*x6*x7*x8+16493*x5*x6*x7*x8+24456*x6^2*x7*x8+5923*x1*x7^2*x8+27829*x2*x7^2*x8+3400*x3*x7^2*x8+26064*x4*x7^2*x8+11459*x5*x7^2*x8+25298*x6*x7^2*x8+30980*x7^3*x8+13108*x2*x4*x8^2+7061*x4^2*x8^2+18010*x1*x5*x8^2+31226*x2*x5*x8^2+16033*x3*x5*x8^2+26284*x4*x5*x8^2+19409*x5^2*x8^2+16364*x1*x6*x8^2+21168*x2*x6*x8^2+2910*x3*x6*x8^2+2597*x4*x6*x8^2+29296*x5*x6*x8^2+22913*x6^2*x8^2+22241*x1*x7*x8^2+18755*x2*x7*x8^2+28728*x3*x7*x8^2+29958*x4*x7*x8^2+16903*x5*x7*x8^2+28660*x6*x7*x8^2+31855*x7^2*x8^2+24551*x1*x8^3+31710*x2*x8^3+27100*x3*x8^3+13836*x4*x8^3+13940*x5*x8^3+29990*x6*x8^3+12136*x7*x8^3+27390*x8^4+7535*x3*x5*x6+6743*x4*x5*x6+7167*x5^2*x6+29797*x1*x6^2+8484*x2*x6^2+12635*x3*x6^2+11353*x4*x6^2+12331*x5*x6^2+3449*x6^3+10715*x2*x4*x7+31461*x1*x5*x7+6693*x2*x5*x7+30653*x3*x5*x7+4186*x4*x5*x7+9808*x5^2*x7+23008*x1*x6*x7+19344*x2*x6*x7+654*x3*x6*x7+30268*x4*x6*x7+8739*x5*x6*x7+3416*x6^2*x7+6157*x1*x7^2+18544*x2*x7^2+18770*x3*x7^2+1543*x4*x7^2+23230*x5*x7^2+14065*x6*x7^2+26754*x7^3+27148*x2*x4*x8+20297*x4^2*x8+29675*x1*x5*x8+25055*x2*x5*x8+18736*x3*x5*x8+2111*x4*x5*x8+6846*x5^2*x8+30534*x1*x6*x8+19328*x2*x6*x8+26407*x3*x6*x8+31303*x4*x6*x8+1582*x5*x6*x8+30326*x6^2*x8+26205*x1*x7*x8+8376*x2*x7*x8+12802*x3*x7*x8+13503*x4*x7*x8+12966*x5*x7*x8+29483*x6*x7*x8+21282*x7^2*x8+5002*x1*x8^2+23738*x2*x8^2+5121*x3*x8^2+22944*x4*x8^2+28517*x5*x8^2+2314*x6*x8^2+10744*x7*x8^2+6251*x8^3+11872*x2*x4+28503*x4^2+37*x1*x5+26927*x2*x5+22729*x3*x5+30591*x4*x5+26414*x5^2+16757*x1*x6+29550*x2*x6+13494*x3*x6+22184*x4*x6+4237*x5*x6+5770*x6^2+9871*x1*x7+23913*x2*x7+9942*x3*x7+8824*x4*x7+27155*x5*x7+30393*x6*x7+17002*x7^2+21599*x1*x8+14912*x2*x8+9757*x3*x8+21373*x4*x8+2562*x5*x8+19896*x6*x8+19814*x7*x8+31877*x8^2+16639*x1+4685*x2+2921*x3+617*x4+11270*x5+26053*x6+30244*x7+4147*x8+6803
+1*x5*x7^2*x8^3+2696*x2*x4*x8^4+25790*x4^2*x8^4+23704*x1*x5*x8^4+16524*x2*x5*x8^4+28546*x3*x5*x8^4+23231*x4*x5*x8^4+27782*x5^2*x8^4+11793*x1*x6*x8^4+15150*x2*x6*x8^4+26644*x3*x6*x8^4+12602*x4*x6*x8^4+2360*x5*x6*x8^4+18710*x6^2*x8^4+29471*x1*x7*x8^4+5461*x2*x7*x8^4+24864*x3*x7*x8^4+396*x4*x7*x8^4+2948*x5*x7*x8^4+6702*x6*x7*x8^4+9905*x7^2*x8^4+18477*x1*x8^5+13552*x2*x8^5+16064*x3*x8^5+2854*x4*x8^5+30659*x5*x8^5+19964*x6*x8^5+29335*x7*x8^5+3000*x8^6+3357*x3*x5*x6*x8^2+21594*x4*x5*x6*x8^2+8693*x5^2*x6*x8^2+4803*x1*x6^2*x8^2+25268*x2*x6^2*x8^2+26347*x3*x6^2*x8^2+13815*x4*x6^2*x8^2+27228*x5*x6^2*x8^2+25836*x6^3*x8^2+13859*x2*x4*x7*x8^2+873*x1*x5*x7*x8^2+25630*x2*x5*x7*x8^2+29279*x3*x5*x7*x8^2+26281*x4*x5*x7*x8^2+22215*x5^2*x7*x8^2+21684*x1*x6*x7*x8^2+2970*x2*x6*x7*x8^2+16053*x3*x6*x7*x8^2+20707*x4*x6*x7*x8^2+9998*x5*x6*x7*x8^2+17882*x6^2*x7*x8^2+27463*x1*x7^2*x8^2+5507*x2*x7^2*x8^2+14187*x3*x7^2*x8^2+30205*x4*x7^2*x8^2+23353*x5*x7^2*x8^2+10399*x6*x7^2*x8^2+18435*x7^3*x8^2+3069*x2*x4*x8^3+19424*x4^2*x8^3+6558*x1*x5*x8^3+7504*x2*x5*x8^3+6773*x3*x5*x8^3+27993*x4*x5*x8^3+30001*x5^2*x8^3+12690*x1*x6*x8^3+20015*x2*x6*x8^3+29939*x3*x6*x8^3+18559*x4*x6*x8^3+5472*x5*x6*x8^3+29872*x6^2*x8^3+28733*x1*x7*x8^3+18396*x2*x7*x8^3+11506*x3*x7*x8^3+26563*x4*x7*x8^3+28225*x5*x7*x8^3+27579*x6*x7*x8^3+19462*x7^2*x8^3+9900*x1*x8^4+19765*x2*x8^4+12636*x3*x8^4+31081*x4*x8^4+11075*x5*x8^4+20560*x6*x8^4+29674*x7*x8^4+10037*x8^5+10420*x5^2*x7^2+8587*x1*x6*x7^2+1957*x2*x6*x7^2+14660*x3*x6*x7^2+17733*x4*x6*x7^2+9306*x5*x6*x7^2+16601*x6^2*x7^2+3374*x1*x7^3+44*x2*x7^3+893*x3*x7^3+22008*x4*x7^3+21507*x5*x7^3+19774*x6*x7^3+24855*x7^4+463*x3*x5*x6*x8+10569*x4*x5*x6*x8+2549*x5^2*x6*x8+17565*x1*x6^2*x8+6897*x2*x6^2*x8+3477*x3*x6^2*x8+26663*x4*x6^2*x8+17573*x5*x6^2*x8+14281*x6^3*x8+3556*x2*x4*x7*x8+26566*x1*x5*x7*x8+3220*x2*x5*x7*x8+16530*x3*x5*x7*x8+23713*x4*x5*x7*x8+25630*x5^2*x7*x8+18498*x1*x6*x7*x8+22080*x2*x6*x7*x8+28814*x3*x6*x7*x8+18812*x4*x6*x7*x8+7880*x5*x6*x7*x8+21654*x6^2*x7*x8+2251*x1*x7^2*x8+1646*x2*x7^2*x8+12116*x3*x7^2*x8+28752*x4*x7^2*x8+20033*x5*x7^2*x8+30256*x6*x7^2*x8+26408*x7^3*x8+13107*x2*x4*x8^2+24665*x4^2*x8^2+30847*x1*x5*x8^2+26334*x2*x5*x8^2+17456*x3*x5*x8^2+31275*x4*x5*x8^2+3872*x5^2*x8^2+6968*x1*x6*x8^2+5739*x2*x6*x8^2+12325*x3*x6*x8^2+21800*x4*x6*x8^2+5433*x5*x6*x8^2+531*x6^2*x8^2+18487*x1*x7*x8^2+26362*x2*x7*x8^2+16175*x3*x7*x8^2+19545*x4*x7*x8^2+967*x5*x7*x8^2+6529*x6*x7*x8^2+17897*x7^2*x8^2+31166*x1*x8^3+16929*x2*x8^3+23132*x3*x8^3+14499*x4*x8^3+422*x5*x8^3+12316*x6*x8^3+13702*x7*x8^3+2562*x8^4+29347*x3*x5*x6+26700*x4*x5*x6+15965*x5^2*x6+15493*x1*x6^2+4473*x2*x6^2+12772*x3*x6^2+22145*x4*x6^2+25682*x5*x6^2+2988*x6^3+13651*x2*x4*x7+26572*x1*x5*x7+16265*x2*x5*x7+3475*x3*x5*x7+25523*x4*x5*x7+7778*x5^2*x7+16534*x1*x6*x7+27671*x2*x6*x7+22917*x3*x6*x7+5249*x4*x6*x7+22095*x5*x6*x7+5884*x6^2*x7+24433*x1*x7^2+26542*x2*x7^2+26655*x3*x7^2+18394*x4*x7^2+28209*x5*x7^2+27540*x6*x7^2+21368*x7^3+8373*x2*x4*x8+24945*x4^2*x8+3893*x1*x5*x8+25379*x2*x5*x8+29881*x3*x5*x8+21379*x4*x5*x8+12072*x5^2*x8+30383*x1*x6*x8+15717*x2*x6*x8+919*x3*x6*x8+4647*x4*x6*x8+24039*x5*x6*x8+4044*x6^2*x8+1288*x1*x7*x8+27685*x2*x7*x8+12955*x3*x7*x8+16327*x4*x7*x8+15314*x5*x7*x8+18082*x6*x7*x8+9685*x7^2*x8+841*x1*x8^2+23990*x2*x8^2+10909*x3*x8^2+19634*x4*x8^2+22639*x5*x8^2+25746*x6*x8^2+19876*x7*x8^2+5553*x8^3+27973*x2*x4+23429*x4^2+23339*x1*x5+29712*x2*x5+24118*x3*x5+12968*x4*x5+25960*x5^2+26553*x1*x6+2498*x2*x6+12250*x3*x6+27315*x4*x6+17535*x5*x6+26850*x6^2+16530*x1*x7+21326*x2*x7+15550*x3*x7+1035*x4*x7+3669*x5*x7+22546*x6*x7+12044*x7^2+29573*x1*x8+2586*x2*x8+27673*x3*x8+7706*x4*x8+10099*x5*x8+28117*x6*x8+27224*x7*x8+9233*x8^2+354*x1+18922*x2+16270*x3+4144*x4+28125*x5+18743*x6+2278*x7+30161*x8+29239
+1*x4*x7^2*x8^3+16166*x2*x4*x8^4+23931*x4^2*x8^4+13573*x1*x5*x8^4+27916*x2*x5*x8^4+4751*x3*x5*x8^4+12848*x4*x5*x8^4+22396*x5^2*x8^4+26700*x1*x6*x8^4+7216*x2*x6*x8^4+23552*x3*x6*x8^4+24216*x4*x6*x8^4+24474*x5*x6*x8^4+4720*x6^2*x8^4+11889*x1*x7*x8^4+1441*x2*x7*x8^4+130*x3*x7*x8^4+6137*x4*x7*x8^4+25823*x5*x7*x8^4+11713*x6*x7*x8^4+16241*x7^2*x8^4+19601*x1*x8^5+12586*x2*x8^5+11661*x3*x8^5+31105*x4*x8^5+2009*x5*x8^5+27345*x6*x8^5+21771*x7*x8^5+1532*x8^6+4248*x3*x5*x6*x8^2+15152*x4*x5*x6*x8^2+8031*x5^2*x6*x8^2+5142*x1*x6^2*x8^2+30777*x2*x6^2*x8^2+3873*x3*x6^2*x8^2+25480*x4*x6^2*x8^2+16301*x5*x6^2*x8^2+405*x6^3*x8^2+17102*x2*x4*x7*x8^2+329*x1*x5*x7*x8^2+21277*x2*x5*x7*x8^2+31956*x3*x5*x7*x8^2+5785*x4*x5*x7*x8^2+8047*x5^2*x7*x8^2+15574*x1*x6*x7*x8^2+14831*x2*x6*x7*x8^2+22022*x3*x6*x7*x8^2+25055*x4*x6*x7*x8^2+15624*x5*x6*x7*x8^2+24618*x6^2*x7*x8^2+10377*x1*x7^2*x8^2+18539*x2*x7^2*x8^2+15354*x3*x7^2*x8^2+9271*x4*x7^2*x8^2+26124*x5*x7^2*x8^2+30872*x6*x7^2*x8^2+4287*x7^3*x8^2+9037*x2*x4*x8^3+16217*x4^2*x8^3+24306*x1*x5*x8^3+30670*x2*x5*x8^3+20939*x3*x5*x8^3+6303*x4*x5*x8^3+15193*x5^2*x8^3+23070*x1*x6*x8^3+1573*x2*x6*x8^3+331*x3*x6*x8^3+12289*x4*x6*x8^3+12655*x5*x6*x8^3+19391*x6^2*x8^3+19044*x1*x7*x8^3+15360*x2*x7*x8^3+31182*x3*x7*x8^3+28882*x4*x7*x8^3+13734*x5*x7*x8^3+20534*x6*x7*x8^3+15969*x7^2*x8^3+4450*x1*x8^4+19579*x2*x8^4+7803*x3*x8^4+1274*x4*x8^4+5566*x5*x8^4+940*x6*x8^4+8182*x7*x8^4+21910*x8^5+25060*x5^2*x7^2+11334*x1*x6*x7^2+25276*x2*x6*x7^2+13103*x3*x6*x7^2+27781*x4*x6*x7^2+29533*x5*x6*x7^2+24165*x6^2*x7^2+6296*x1*x7^3+23356*x2*x7^3+13461*x3*x7^3+13435*x4*x7^3+25878*x5*x7^3+10638*x6*x7^3+9006*x7^4+10353*x3*x5*x6*x8+14427*x4*x5*x6*x8+18565*x5^2*x6*x8+1040*x1*x6^2*x8+18203*x2*x6^2*x8+24880*x3*x6^2*x8+9202*x4*x6^2*x8+4312*x5*x6^2*x8+21082*x6^3*x8+3215*x2*x4*x7*x8+22930*x1*x5*x7*x8+16450*x2*x5*x7*x8+12701*x3*x5*x7*x8+5813*x4*x5*x7*x8+26162*x5^2*x7*x8+29720*x1*x6*x7*x8+11591*x2*x6*x7*x8+18579*x3*x6*x7*x8+17171*x4*x6*x7*x8+31911*x5*x6*x7*x8+26822*x6^2*x7*x8+27864*x1*x7^2*x8+133*x2*x7^2*x8+25995*x3*x7^2*x8+1824*x4*x7^2*x8+30010*x5*x7^2*x8+14701*x6*x7^2*x8+15212*x7^3*x8+6676*x2*x4*x8^2+14177*x4^2*x8^2+6190*x1*x5*x8^2+23672*x2*x5*x8^2+30934*x3*x5*x8^2+22088*x4*x5*x8^2+9134*x5^2*x8^2+3369*x1*x6*x8^2+330*x2*x6*x8^2+23692*x3*x6*x8^2+20818*x4*x6*x8^2+6446*x5*x6*x8^2+5567*x6^2*x8^2+13392*x1*x7*x8^2+21285*x2*x7*x8^2+20775*x3*x7*x8^2+4206*x4*x7*x8^2+27752*x5*x7*x8^2+22899*x6*x7*x8^2+30881*x7^2*x8^2+568*x1*x8^3+27718*x2*x8^3+13118*x3*x8^3+16822*x4*x8^3+20617*x5*x8^3+20488*x6*x8^3+16980*x7*x8^3+16143*x8^4+20281*x3*x5*x6+29340*x4*x5*x6+7146*x5^2*x6+10617*x1*x6^2+3538*x2*x6^2+18645*x3*x6^2+2084*x4*x6^2+21746*x5*x6^2+28653*x6^3+1164*x2*x4*x7+6812*x1*x5*x7+28617*x2*x5*x7+21593*x3*x5*x7+25074*x4*x5*x7+2000*x5^2*x7+17957*x1*x6*x7+7503*x2*x6*x7+13042*x3*x6*x7+30807*x4*x6*x7+30988*x5*x6*x7+3249*x6^2*x7+25324*x1*x7^2+22363*x2*x7^2+27581*x3*x7^2+13160*x4*x7^2+24356*x5*x7^2+18414*x6*x7^2+26165*x7^3+583*x2*x4*x8+1010*x4^2*x8+11118*x1*x5*x8+11547*x2*x5*x8+10051*x3*x5*x8+29374*x4*x5*x8+4967*x5^2*x8+4993*x1*x6*x8+18003*x2*x6*x8+10457*x3*x6*x8+1242*x4*x6*x8+12979*x5*x6*x8+29674*x6^2*x8+23107*x1*x7*x8+6482*x2*x7*x8+10213*x3*x7*x8+16848*x4*x7*x8+1470*x5*x7*x8+28893*x6*x7*x8+1653*x7^2*x8+51*x1*x8^2+26320*x2*x8^2+14867*x3*x8^2+4472*x4*x8^2+27700*x5*x8^2+27*x6*x8^2+10513*x7*x8^2+27941*x8^3+464*x2*x4+31413*x4^2+3130*x1*x5+4948*x2*x5+23113*x3*x5+7989*x4*x5+20116*x5^2+29741*x1*x6+6480*x2*x6+8553*x3*x6+24608*x4*x6+16102*x5*x6+28589*x6^2+8295*x1*x7+6837*x2*x7+18335*x3*x7+6527*x4*x7+16909*x5*x7+24888*x6*x7+3739*x7^2+13145*x1*x8+19688*x2*x8+13733*x3*x8+10317*x4*x8+13849*x5*x8+7884*x6*x8+23506*x7*x8+30536*x8^2+13252*x1+22634*x2+14563*x3+19175*x4+13158*x5+12699*x6+11094*x7+21967*x8+11557
+1*x3*x7^2*x8^3+26584*x2*x4*x8^4+27431*x4^2*x8^4+22560*x1*x5*x8^4+8765*x2*x5*x8^4+10559*x3*x5*x8^4+2222*x4*x5*x8^4+9568*x5^2*x8^4+22741*x1*x6*x8^4+24380*x2*x6*x8^4+23646*x3*x6*x8^4+17253*x4*x6*x8^4+31310*x5*x6*x8^4+4945*x6^2*x8^4+14825*x1*x7*x8^4+12258*x2*x7*x8^4+14625*x3*x7*x8^4+30459*x4*x7*x8^4+17079*x5*x7*x8^4+29223*x6*x7*x8^4+30627*x7^2*x8^4+2921*x1*x8^5+1419*x2*x8^5+12949*x3*x8^5+5770*x4*x8^5+17586*x5*x8^5+1009*x6*x8^5+31289*x7*x8^5+22231*x8^6+14873*x3*x5*x6*x8^2+25691*x4*x5*x6*x8^2+13718*x5^2*x6*x8^2+25030*x1*x6^2*x8^2+1337*x2*x6^2*x8^2+16196*x3*x6^2*x8^2+11401*x4*x6^2*x8^2+30944*x5*x6^2*x8^2+26446*x6^3*x8^2+29361*x2*x4*x7*x8^2+13430*x1*x5*x7*x8^2+2186*x2*x5*x7*x8^2+2499*x3*x5*x7*x8^2+6837*x4*x5*x7*x8^2+30723*x5^2*x7*x8^2+8290*x1*x6*x7*x8^2+9081*x2*x6*x7*x8^2+134*x3*x6*x7*x8^2+29513*x4*x6*x7*x8^2+4824*x5*x6*x7*x8^2+26931*x6^2*x7*x8^2+9915*x1*x7^2*x8^2+4490*x2*x7^2*x8^2+13778*x3*x7^2*x8^2+27958*x4*x7^2*x8^2+17699*x5*x7^2*x8^2+8609*x6*x7^2*x8^2+30934*x7^3*x8^2+14912*x2*x4*x8^3+500*x4^2*x8^3+114*x1*x5*x8^3+13339*x2*x5*x8^3+22439*x3*x5*x8^3+59*x4*x5*x8^3+573*x5^2*x8^3+29457*x1*x6*x8^3+14866*x2*x6*x8^3+18586*x3*x6*x8^3+11046*x4*x6*x8^3+10230*x5*x6*x8^3+22916*x6^2*x8^3+1021*x1*x7*x8^3+12352*x2*x7*x8^3+9795*x3*x7*x8^3+2200*x4*x7*x8^3+22147*x5*x7*x8^3+29510*x6*x7*x8^3+31667*x7^2*x8^3+14688*x1*x8^4+31313*x2*x8^4+25211*x3*x8^4+24876*x4*x8^4+18783*x5*x8^4+19557*x6*x8^4+983*x7*x8^4+14492*x8^5+25619*x5^2*x7^2+16205*x1*x6*x7^2+186*x2*x6*x7^2+31898*x3*x6*x7^2+27616*x4*x6*x7^2+10117*x5*x6*x7^2+2336*x6^2*x7^2+29780*x1*x7^3+7207*x2*x7^3+15771*x3*x7^3+24056*x4*x7^3+20269*x5*x7^3+6735*x6*x7^3+24116*x7^4+8339*x3*x5*x6*x8+20612*x4*x5*x6*x8+2657*x5^2*x6*x8+27598*x1*x6^2*x8+1691*x2*x6^2*x8+5705*x3*x6^2*x8+24607*x4*x6^2*x8+25133*x5*x6^2*x8+30597*x6^3*x8+15264*x2*x4*x7*x8+23824*x1*x5*x7*x8+27756*x2*x5*x7*x8+3078*x3*x5*x7*x8+23384*x4*x5*x7*x8+20654*x5^2*x7*x8+30745*x1*x6*x7*x8+9321*x2*x6*x7*x8+30169*x3*x6*x7*x8+11306*x4*x6*x7*x8+1438*x5*x6*x7*x8+30871*x6^2*x7*x8+12247*x1*x7^2*x8+13537*x2*x7^2*x8+20040*x3*x7^2*x8+20471*x4*x7^2*x8+25239*x5*x7^2*x8+11781*x6*x7^2*x8+26359*x7^3*x8+16013*x2*x4*x8^2+17177*x4^2*x8^2+21298*x1*x5*x8^2+2525*x2*x5*x8^2+27433*x3*x5*x8^2+8531*x4*x5*x8^2+25161*x5^2*x8^2+31185*x1*x6*x8^2+11118*x2*x6*x8^2+19071*x3*x6*x8^2+822*x4*x6*x8^2+22268*x5*x6*x8^2+25318*x6^2*x8^2+29816*x1*x7*x8^2+3713*x2*x7*x8^2+22295*x3*x7*x8^2+12858*x4*x7*x8^2+11408*x5*x7*x8^2+31396*x6*x7*x8^2+24746*x7^2*x8^2+9061*x1*x8^3+21802*x2*x8^3+26838*x3*x8^3+28405*x4*x8^3+29095*x5*x8^3+25810*x6*x8^3+17990*x7*x8^3+23582*x8^4+23993*x3*x5*x6+16983*x4*x5*x6+5257*x5^2*x6+21055*x1*x6^2+4044*x2*x6^2+3847*x3*x6^2+30016*x4*x6^2+1542*x5*x6^2+4552*x6^3+2750*x2*x4*x7+23118*x1*x5*x7+10466*x2*x5*x7+28393*x3*x5*x7+31274*x4*x5*x7+23446*x5^2*x7+21697*x1*x6*x7+31290*x2*x6*x7+8675*x3*x6*x7+9254*x4*x6*x7+29427*x5*x6*x7+24001*x6^2*x7+28198*x1*x7^2+8411*x2*x7^2+23519*x3*x7^2+23132*x4*x7^2+14029*x5*x7^2+10871*x6*x7^2+3684*x7^3+16274*x2*x4*x8+12703*x4^2*x8+258*x1*x5*x8+10545*x2*x5*x8+11870*x3*x5*x8+5233*x4*x5*x8+1895*x5^2*x8+23859*x1*x6*x8+23676*x2*x6*x8+23243*x3*x6*x8+6880*x4*x6*x8+15991*x5*x6*x8+10303*x6^2*x8+26676*x1*x7*x8+10790*x2*x7*x8+5805*x3*x7*x8+31024*x4*x7*x8+4430*x5*x7*x8+11426*x6*x7*x8+3035*x7^2*x8+23406*x1*x8^2+9737*x2*x8^2+28818*x3*x8^2+16630*x4*x8^2+12782*x5*x8^2+13169*x6*x8^2+9855*x7*x8^2+4562*x8^3+30806*x2*x4+165*x4^2+22608*x1*x5+28044*x2*x5+27313*x3*x5+2741*x4*x5+17113*x5^2+3949*x1*x6+1103*x2*x6+12544*x3*x6+28183*x4*x6+27698*x5*x6+743*x6^2+21568*x1*x7+20679*x2*x7+13489*x3*x7+29806*x4*x7+19656*x5*x7+7957*x6*x7+17975*x7^2+9547*x1*x8+7966*x2*x8+23707*x3*x8+16173*x4*x8+13077*x5*x8+26841*x6*x8+17310*x7*x8+5930*x8^2+10273*x1+10739*x2+4038*x3+1996*x4+23100*x5+2780*x6+27664*x7+12695*x8+2539
+1*x2*x7^2*x8^3+25335*x2*x4*x8^4+30379*x4^2*x8^4+6429*x1*x5*x8^4+4022*x2*x5*x8^4+29234*x3*x5*x8^4+18508*x4*x5*x8^4+11719*x5^2*x8^4+19148*x1*x6*x8^4+21880*x2*x6*x8^4+20125*x3*x6*x8^4+9391*x4*x6*x8^4+30301*x5*x6*x8^4+25046*x6^2*x8^4+12563*x1*x7*x8^4+22692*x2*x7*x8^4+22033*x3*x7*x8^4+25776*x4*x7*x8^4+27740*x5*x7*x8^4+30265*x6*x7*x8^4+24335*x7^2*x8^4+21695*x1*x8^5+8810*x2*x8^5+14151*x3*x8^5+22404*x4*x8^5+14716*x5*x8^5+5501*x6*x8^5+14010*x7*x8^5+14965*x8^6+24673*x3*x5*x6*x8^2+30112*x4*x5*x6*x8^2+41*x5^2*x6*x8^2+6631*x1*x6^2*x8^2+4452*x2*x6^2*x8^2+26999*x3*x6^2*x8^2+25825*x4*x6^2*x8^2+9578*x5*x6^2*x8^2+14382*x6^3*x8^2+8973*x2*x4*x7*x8^2+24678*x1*x5*x7*x8^2+2872*x2*x5*x7*x8^2+26052*x3*x5*x7*x8^2+6088*x4*x5*x7*x8^2+18272*x5^2*x7*x8^2+21697*x1*x6*x7*x8^2+6435*x2*x6*x7*x8^2+11769*x3*x6*x7*x8^2+26379*x4*x6*x7*x8^2+26084*x5*x6*x7*x8^2+20292*x6^2*x7*x8^2+7021*x1*x7^2*x8^2+3123*x2*x7^2*x8^2+17309*x3*x7^2*x8^2+19706*x4*x7^2*x8^2+27045*x5*x7^2*x8^2+4861*x6*x7^2*x8^2+19328*x7^3*x8^2+7029*x2*x4*x8^3+12593*x4^2*x8^3+28440*x1*x5*x8^3+31284*x2*x5*x8^3+27182*x3*x5*x8^3+9731*x4*x5*x8^3+14663*x5^2*x8^3+30056*x1*x6*x8^3+10559*x2*x6*x8^3+22541*x3*x6*x8^3+27059*x4*x6*x8^3+4318*x5*x6*x8^3+25779*x6^2*x8^3+27624*x1*x7*x8^3+7622*x2*x7*x8^3+1854*x3*x7*x8^3+1094*x4*x7*x8^3+30243*x5*x7*x8^3+20243*x6*x7*x8^3+20972*x7^2*x8^3+19917*x1*x8^4+8400*x2*x8^4+9875*x3*x8^4+14626*x4*x8^4+21014*x5*x8^4+7166*x6*x8^4+12963*x7*x8^4+27032*x8^5+29322*x5^2*x7^2+31643*x1*x6*x7^2+3869*x2*x6*x7^2+15172*x3*x6*x7^2+11592*x4*x6*x7^2+30905*x5*x6*x7^2+31243*x6^2*x7^2+13718*x1*x7^3+13734*x2*x7^3+24867*x3*x7^3+23760*x4*x7^3+20953*x5*x7^3+10313*x6*x7^3+25784*x7^4+23462*x3*x5*x6*x8+6734*x4*x5*x6*x8+22283*x5^2*x6*x8+7867*x1*x6^2*x8+12265*x2*x6^2*x8+8283*x3*x6^2*x8+19510*x4*x6^2*x8+19068*x5*x6^2*x8+23883*x6^3*x8+6136*x2*x4*x7*x8+19482*x1*x5*x7*x8+1296*x2*x5*x7*x8+28971*x3*x5*x7*x8+30163*x4*x5*x7*x8+7997*x5^2*x7*x8+791*x1*x6*x7*x8+15285*x2*x6*x7*x8+26511*x3*x6*x7*x8+27413*x4*x6*x7*x8+22074*x5*x6*x7*x8+10444*x6^2*x7*x8+28144*x1*x7^2*x8+9484*x2*x7^2*x8+29372*x3*x7^2*x8+5512*x4*x7^2*x8+24538*x5*x7^2*x8+8064*x6*x7^2*x8+13894*x7^3*x8+3202*x2*x4*x8^2+4219*x4^2*x8^2+19376*x1*x5*x8^2+11158*x2*x5*x8^2+25158*x3*x5*x8^2+30137*x4*x5*x8^2+27013*x5^2*x8^2+6367*x1*x6*x8^2+7972*x2*x6*x8^2+16675*x3*x6*x8^2+10701*x4*x6*x8^2+24222*x5*x6*x8^2+4470*x6^2*x8^2+23509*x1*x7*x8^2+24844*x2*x7*x8^2+28987*x3*x7*x8^2+31123*x4*x7*x8^2+25070*x5*x7*x8^2+30313*x6*x7*x8^2+31187*x7^2*x8^2+6849*x1*x8^3+27852*x2*x8^3+11722*x3*x8^3+18654*x4*x8^3+16736*x5*x8^3+11655*x6*x8^3+22276*x7*x8^3+5442*x8^4+12627*x3*x5*x6+4733*x4*x5*x6+10547*x5^2*x6+13981*x1*x6^2+28463*x2*x6^2+18254*x3*x6^2+13940*x4*x6^2+9029*x5*x6^2+1673*x6^3+1043*x2*x4*x7+7866*x1*x5*x7+12701*x2*x5*x7+20362*x3*x5*x7+25020*x4*x5*x7+6500*x5^2*x7+30851*x1*x6*x7+21896*x2*x6*x7+4109*x3*x6*x7+27509*x4*x6*x7+15282*x5*x6*x7+4524*x6^2*x7+24638*x1*x7^2+8216*x2*x7^2+3005*x3*x7^2+7794*x4*x7^2+7712*x5*x7^2+26482*x6*x7^2+6149*x7^3+19458*x2*x4*x8+3383*x4^2*x8+26013*x1*x5*x8+5840*x2*x5*x8+3716*x3*x5*x8+18182*x4*x5*x8+19796*x5^2*x8+25817*x1*x6*x8+29609*x2*x6*x8+3943*x3*x6*x8+5911*x4*x6*x8+19460*x5*x6*x8+17018*x6^2*x8+26020*x1*x7*x8+19297*x2*x7*x8+20479*x3*x7*x8+17477*x4*x7*x8+27266*x5*x7*x8+15831*x6*x7*x8+19927*x7^2*x8+27448*x1*x8^2+26064*x2*x8^2+17142*x3*x8^2+13956*x4*x8^2+22036*x5*x8^2+9766*x6*x8^2+27639*x7*x8^2+29569*x8^3+31933*x2*x4+31406*x4^2+11086*x1*x5+17817*x2*x5+28928*x3*x5+29441*x4*x5+29183*x5^2+31426*x1*x6+26763*x2*x6+9219*x3*x6+29518*x4*x6+20566*x5*x6+12573*x6^2+15365*x1*x7+5503*x2*x7+30302*x3*x7+12940*x4*x7+15985*x5*x7+12568*x6*x7+16820*x7^2+18407*x1*x8+4112*x2*x8+10418*x3*x8+22253*x4*x8+24634*x5*x8+27225*x6*x8+25573*x7*x8+20338*x8^2+5287*x1+30250*x2+153*x3+23460*x4+29662*x5+165*x6+24845*x7+24327*x8+7536
+1*x1*x7^2*x8^3+22391*x2*x4*x8^4+20470*x4^2*x8^4+28405*x1*x5*x8^4+4525*x2*x5*x8^4+12710*x3*x5*x8^4+15336*x4*x5*x8^4+7753*x5^2*x8^4+24655*x1*x6*x8^4+17093*x2*x6*x8^4+21353*x3*x6*x8^4+18412*x4*x6*x8^4+22814*x5*x6*x8^4+15450*x6^2*x8^4+673*x1*x7*x8^4+28485*x2*x7*x8^4+21215*x3*x7*x8^4+29079*x4*x7*x8^4+30840*x5*x7*x8^4+28736*x6*x7*x8^4+12023*x7^2*x8^4+4892*x1*x8^5+31648*x2*x8^5+15386*x3*x8^5+18631*x4*x8^5+5895*x5*x8^5+25277*x6*x8^5+6075*x7*x8^5+27352*x8^6+9116*x3*x5*x6*x8^2+23113*x4*x5*x6*x8^2+7394*x5^2*x6*x8^2+19458*x1*x6^2*x8^2+5920*x2*x6^2*x8^2+19564*x3*x6^2*x8^2+10582*x4*x6^2*x8^2+24793*x5*x6^2*x8^2+8755*x6^3*x8^2+31194*x2*x4*x7*x8^2+612*x1*x5*x7*x8^2+25770*x2*x5*x7*x8^2+14941*x3*x5*x7*x8^2+15520*x4*x5*x7*x8^2+24676*x5^2*x7*x8^2+9702*x1*x6*x7*x8^2+27208*x2*x6*x7*x8^2+9631*x3*x6*x7*x8^2+2901*x4*x6*x7*x8^2+5608*x5*x6*x7*x8^2+20149*x6^2*x7*x8^2+22761*x1*x7^2*x8^2+21203*x2*x7^2*x8^2+62*x3*x7^2*x8^2+20488*x4*x7^2*x8^2+4072*x5*x7^2*x8^2+9006*x6*x7^2*x8^2+7619*x7^3*x8^2+22280*x2*x4*x8^3+7244*x4^2*x8^3+21378*x1*x5*x8^3+13084*x2*x5*x8^3+29276*x3*x5*x8^3+30192*x4*x5*x8^3+4198*x5^2*x8^3+9776*x1*x6*x8^3+9113*x2*x6*x8^3+22543*x3*x6*x8^3+1403*x4*x6*x8^3+25046*x5*x6*x8^3+27705*x6^2*x8^3+7229*x1*x7*x8^3+28622*x2*x7*x8^3+15315*x3*x7*x8^3+21628*x4*x7*x8^3+17901*x5*x7*x8^3+14098*x6*x7*x8^3+12647*x7^2*x8^3+19177*x1*x8^4+18631*x2*x8^4+29389*x3*x8^4+26694*x4*x8^4+20099*x5*x8^4+25706*x6*x8^4+6783*x7*x8^4+20498*x8^5+17996*x5^2*x7^2+10638*x1*x6*x7^2+5585*x2*x6*x7^2+26861*x3*x6*x7^2+17532*x4*x6*x7^2+9160*x5*x6*x7^2+9018*x6^2*x7^2+27060*x1*x7^3+31973*x2*x7^3+4431*x3*x7^3+3628*x4*x7^3+27245*x5*x7^3+15326*x6*x7^3+13448*x7^4+9721*x3*x5*x6*x8+748*x4*x5*x6*x8+10041*x5^2*x6*x8+30506*x1*x6^2*x8+17143*x2*x6^2*x8+6792*x3*x6^2*x8+28612*x4*x6^2*x8+13421*x5*x6^2*x8+16724*x6^3*x8+18670*x2*x4*x7*x8+15564*x1*x5*x7*x8+26715*x2*x5*x7*x8+16366*x3*x5*x7*x8+20377*x4*x5*x7*x8+700*x5^2*x7*x8+103*x1*x6*x7*x8+10393*x2*x6*x7*x8+27381*x3*x6*x7*x8+10695*x4*x6*x7*x8+16696*x5*x6*x7*x8+11247*x6^2*x7*x8+1533*x1*x7^2*x8+25945*x2*x7^2*x8+21794*x3*x7^2*x8+23769*x4*x7^2*x8+12523*x5*x7^2*x8+6894*x6*x7^2*x8+6295*x7^3*x8+20609*x2*x4*x8^2+13764*x4^2*x8^2+28066*x1*x5*x8^2+18941*x2*x5*x8^2+18892*x3*x5*x8^2+7169*x4*x5*x8^2+4890*x5^2*x8^2+24963*x1*x6*x8^2+16500*x2*x6*x8^2+3231*x3*x6*x8^2+10858*x4*x6*x8^2+24280*x5*x6*x8^2+26913*x6^2*x8^2+30979*x1*x7*x8^2+8078*x2*x7*x8^2+16561*x3*x7*x8^2+3876*x4*x7*x8^2+2848*x5*x7*x8^2+3409*x6*x7*x8^2+5767*x7^2*x8^2+27353*x1*x8^3+12235*x2*x8^3+4213*x3*x8^3+14490*x4*x8^3+9510*x5*x8^3+2646*x6*x8^3+6067*x7*x8^3+3691*x8^4+25607*x3*x5*x6+11436*x4*x5*x6+11643*x5^2*x6+13681*x1*x6^2+29967*x2*x6^2+13070*x3*x6^2+6509*x4*x6^2+9535*x5*x6^2+17016*x6^3+22831*x2*x4*x7+14067*x1*x5*x7+12833*x2*x5*x7+21001*x3*x5*x7+173*x4*x5*x7+30384*x5^2*x7+5768*x1*x6*x7+25623*x2*x6*x7+31333*x3*x6*x7+14427*x4*x6*x7+8401*x5*x6*x7+17861*x6^2*x7+23314*x1*x7^2+12791*x2*x7^2+26474*x3*x7^2+21056*x4*x7^2+23156*x5*x7^2+15554*x6*x7^2+27335*x7^3+6372*x2*x4*x8+26040*x4^2*x8+277*x1*x5*x8+17104*x2*x5*x8+9906*x3*x5*x8+15329*x4*x5*x8+22105*x5^2*x8+4182*x1*x6*x8+1375*x2*x6*x8+26876*x3*x6*x8+23126*x4*x6*x8+11295*x5*x6*x8+5851*x6^2*x8+9669*x1*x7*x8+14134*x2*x7*x8+22605*x3*x7*x8+27413*x4*x7*x8+24817*x5*x7*x8+26005*x6*x7*x8+22839*x7^2*x8+3372*x1*x8^2+513*x2*x8^2+3565*x3*x8^2+19937*x4*x8^2+6674*x5*x8^2+24152*x6*x8^2+19005*x7*x8^2+9129*x8^3+10737*x2*x4+28792*x4^2+1651*x1*x5+19273*x2*x5+15698*x3*x5+1580*x4*x5+30653*x5^2+27167*x1*x6+19419*x2*x6+27358*x3*x6+29540*x4*x6+28127*x5*x6+10232*x6^2+744*x1*x7+17382*x2*x7+5640*x3*x7+15403*x4*x7+14359*x5*x7+26144*x6*x7+18155*x7^2+21012*x1*x8+11358*x2*x8+9168*x3*x8+10025*x4*x8+28459*x5*x8+2587*x6*x8+2020*x7*x8+2531*x8^2+12292*x1+26059*x2+30656*x3+30334*x4+15429*x5+6440*x6+11127*x7+20289*x8+19877
+1*x6^2*x7*x8^3+31411*x2*x4*x8^4+18272*x4^2*x8^4+5647*x1*x5*x8^4+3761*x2*x5*x8^4+16276*x3*x5*x8^4+14330*x4*x5*x8^4+19407*x5^2*x8^4+17324*x1*x6*x8^4+22577*x2*x6*x8^4+24642*x3*x6*x8^4+21164*x4*x6*x8^4+21954*x5*x6*x8^4+245*x6^2*x8^4+19522*x1*x7*x8^4+8000*x2*x7*x8^4+7605*x3*x7*x8^4+26306*x4*x7*x8^4+4447*x5*x7*x8^4+1814*x6*x7*x8^4+17982*x7^2*x8^4+16681*x1*x8^5+10573*x2*x8^5+18953*x3*x8^5+29242*x4*x8^5+10314*x5*x8^5+3814*x6*x8^5+23051*x7*x8^5+29624*x8^6+4609*x3*x5*x6*x8^2+3690*x4*x5*x6*x8^2+12697*x5^2*x6*x8^2+9421*x1*x6^2*x8^2+492*x2*x6^2*x8^2+18059*x3*x6^2*x8^2+25135*x4*x6^2*x8^2+26477*x5*x6^2*x8^2+28424*x6^3*x8^2+5379*x2*x4*x7*x8^2+6244*x1*x5*x7*x8^2+6090*x2*x5*x7*x8^2+1059*x3*x5*x7*x8^2+29989*x4*x5*x7*x8^2+31145*x5^2*x7*x8^2+1849*x1*x6*x7*x8^2+3962*x2*x6*x7*x8^2+21093*x3*x6*x7*x8^2+3648*x4*x6*x7*x8^2+28126*x5*x6*x7*x8^2+31666*x6^2*x7*x8^2+30536*x1*x7^2*x8^2+24016*x2*x7^2*x8^2+14937*x3*x7^2*x8^2+29618*x4*x7^2*x8^2+16788*x5*x7^2*x8^2+10629*x6*x7^2*x8^2+1813*x7^3*x8^2+6926*x2*x4*x8^3+24253*x4^2*x8^3+12462*x1*x5*x8^3+29845*x2*x5*x8^3+28056*x3*x5*x8^3+26078*x4*x5*x8^3+553*x5^2*x8^3+13659*x1*x6*x8^3+16287*x2*x6*x8^3+9345*x3*x6*x8^3+7373*x4*x6*x8^3+13*x5*x6*x8^3+12016*x6^2*x8^3+19127*x1*x7*x8^3+18545*x2*x7*x8^3+17017*x3*x7*x8^3+9248*x4*x7*x8^3+15847*x5*x7*x8^3+2048*x6*x7*x8^3+10341*x7^2*x8^3+4439*x1*x8^4+19286*x2*x8^4+15982*x3*x8^4+29795*x4*x8^4+20764*x5*x8^4+2372*x6*x8^4+21699*x7*x8^4+6816*x8^5+23403*x5^2*x7^2+13016*x1*x6*x7^2+5659*x2*x6*x7^2+10770*x3*x6*x7^2+7255*x4*x6*x7^2+18002*x5*x6*x7^2+26823*x6^2*x7^2+16121*x1*x7^3+23853*x2*x7^3+27622*x3*x7^3+9295*x4*x7^3+8148*x5*x7^3+14080*x6*x7^3+12923*x7^4+29*x3*x5*x6*x8+25721*x4*x5*x6*x8+19785*x5^2*x6*x8+948*x1*x6^2*x8+27333*x2*x6^2*x8+18995*x3*x6^2*x8+7972*x4*x6^2*x8+17255*x5*x6^2*x8+2743*x6^3*x8+28848*x2*x4*x7*x8+8537*x1*x5*x7*x8+16763*x2*x5*x7*x8+24774*x3*x5*x7*x8+15182*x4*x5*x7*x8+18949*x5^2*x7*x8+24753*x1*x6*x7*x8+15913*x2*x6*x7*x8+31103*x3*x6*x7*x8+24719*x4*x6*x7*x8+8400*x5*x6*x7*x8+5631*x6^2*x7*x8+26451*x1*x7^2*x8+3744*x2*x7^2*x8+20866*x3*x7^2*x8+4121*x4*x7^2*x8+18839*x5*x7^2*x8+23503*x6*x7^2*x8+6435*x7^3*x8+27360*x2*x4*x8^2+29893*x4^2*x8^2+13300*x1*x5*x8^2+28956*x2*x5*x8^2+13852*x3*x5*x8^2+7399*x4*x5*x8^2+31024*x5^2*x8^2+28903*x1*x6*x8^2+27134*x2*x6*x8^2+14388*x3*x6*x8^2+24330*x4*x6*x8^2+17523*x5*x6*x8^2+3265*x6^2*x8^2+30280*x1*x7*x8^2+805*x2*x7*x8^2+31764*x3*x7*x8^2+10983*x4*x7*x8^2+30512*x5*x7*x8^2+22761*x6*x7*x8^2+20838*x7^2*x8^2+8869*x1*x8^3+10908*x2*x8^3+12909*x3*x8^3+6070*x4*x8^3+5800*x5*x8^3+2082*x6*x8^3+4574*x7*x8^3+7264*x8^4+16189*x3*x5*x6+24515*x4*x5*x6+22443*x5^2*x6+12211*x1*x6^2+28611*x2*x6^2+22193*x3*x6^2+9657*x4*x6^2+23839*x5*x6^2+19683*x6^3+20825*x2*x4*x7+19669*x1*x5*x7+15484*x2*x5*x7+15662*x3*x5*x7+27686*x4*x5*x7+31994*x5^2*x7+14304*x1*x6*x7+12950*x2*x6*x7+4703*x3*x6*x7+25090*x4*x6*x7+29995*x5*x6*x7+26075*x6^2*x7+26027*x1*x7^2+21064*x2*x7^2+10691*x3*x7^2+3758*x4*x7^2+25207*x5*x7^2+28582*x6*x7^2+9306*x7^3+5251*x2*x4*x8+31070*x4^2*x8+10361*x1*x5*x8+8274*x2*x5*x8+21554*x3*x5*x8+178*x4*x5*x8+9626*x5^2*x8+15001*x1*x6*x8+4194*x2*x6*x8+7239*x3*x6*x8+12005*x4*x6*x8+14272*x5*x6*x8+11510*x6^2*x8+19172*x1*x7*x8+9267*x2*x7*x8+31990*x3*x7*x8+2899*x4*x7*x8+29070*x5*x7*x8+16023*x6*x7*x8+9060*x7^2*x8+15779*x1*x8^2+19525*x2*x8^2+5095*x3*x8^2+27589*x4*x8^2+5076*x5*x8^2+5103*x6*x8^2+1232*x7*x8^2+3674*x8^3+28968*x2*x4+24639*x4^2+24719*x1*x5+31232*x2*x5+11360*x3*x5+31418*x4*x5+31180*x5^2+28131*x1*x6+18680*x2*x6+23267*x3*x6+30321*x4*x6+29957*x5*x6+12022*x6^2+3468*x1*x7+2061*x2*x7+15872*x3*x7+30083*x4*x7+9392*x5*x7+31517*x6*x7+28911*x7^2+17829*x1*x8+8977*x2*x8+20877*x3*x8+3810*x4*x8+28827*x5*x8+26313*x6*x8+6390*x7*x8+5862*x8^2+13485*x1+16023*x2+17226*x3+28783*x4+10817*x5+27565*x6+18593*x7+26412*x8+5054
+1*x5*x6*x7*x8^3+22231*x2*x4*x8^4+20945*x4^2*x8^4+17040*x1*x5*x8^4+1140*x2*x5*x8^4+10599*x3*x5*x8^4+16832*x4*x5*x8^4+23070*x5^2*x8^4+16971*x1*x6*x8^4+12418*x2*x6*x8^4+21230*x3*x6*x8^4+18558*x4*x6*x8^4+65*x5*x6*x8^4+6982*x6^2*x8^4+3663*x1*x7*x8^4+5666*x2*x7*x8^4+6881*x3*x7*x8^4+27299*x4*x7*x8^4+16823*x5*x7*x8^4+22096*x6*x7*x8^4+26007*x7^2*x8^4+31723*x1*x8^5+19368*x2*x8^5+22772*x3*x8^5+19766*x4*x8^5+2898*x5*x8^5+31659*x6*x8^5+20323*x7*x8^5+5091*x8^6+22759*x3*x5*x6*x8^2+27766*x4*x5*x6*x8^2+20464*x5^2*x6*x8^2+1740*x1*x6^2*x8^2+13334*x2*x6^2*x8^2+20770*x3*x6^2*x8^2+12740*x4*x6^2*x8^2+13717*x5*x6^2*x8^2+24558*x6^3*x8^2+6765*x2*x4*x7*x8^2+11849*x1*x5*x7*x8^2+10555*x2*x5*x7*x8^2+4528*x3*x5*x7*x8^2+26521*x4*x5*x7*x8^2+17068*x5^2*x7*x8^2+2954*x1*x6*x7*x8^2+11724*x2*x6*x7*x8^2+3218*x3*x6*x7*x8^2+29937*x4*x6*x7*x8^2+5554*x5*x6*x7*x8^2+19002*x6^2*x7*x8^2+10485*x1*x7^2*x8^2+29862*x2*x7^2*x8^2+11070*x3*x7^2*x8^2+9584*x4*x7^2*x8^2+11557*x5*x7^2*x8^2+15040*x6*x7^2*x8^2+13185*x7^3*x8^2+10091*x2*x4*x8^3+12551*x4^2*x8^3+4278*x1*x5*x8^3+348*x2*x5*x8^3+18748*x3*x5*x8^3+18629*x4*x5*x8^3+3451*x5^2*x8^3+8955*x1*x6*x8^3+20247*x2*x6*x8^3+471*x3*x6*x8^3+1347*x4*x6*x8^3+22722*x5*x6*x8^3+25712*x6^2*x8^3+23443*x1*x7*x8^3+12391*x2*x7*x8^3+2584*x3*x7*x8^3+447*x4*x7*x8^3+30216*x5*x7*x8^3+24617*x6*x7*x8^3+28100*x7^2*x8^3+5323*x1*x8^4+15422*x2*x8^4+26735*x3*x8^4+24678*x4*x8^4+7034*x5*x8^4+5708*x6*x8^4+25388*x7*x8^4+31719*x8^5+23867*x5^2*x7^2+23584*x1*x6*x7^2+31800*x2*x6*x7^2+15429*x3*x6*x7^2+23432*x4*x6*x7^2+12401*x5*x6*x7^2+10950*x6^2*x7^2+28558*x1*x7^3+16679*x2*x7^3+31475*x3*x7^3+14885*x4*x7^3+2399*x5*x7^3+7982*x6*x7^3+8628*x7^4+16801*x3*x5*x6*x8+21908*x4*x5*x6*x8+16450*x5^2*x6*x8+1089*x1*x6^2*x8+7000*x2*x6^2*x8+1341*x3*x6^2*x8+3352*x4*x6^2*x8+20559*x5*x6^2*x8+4217*x6^3*x8+24833*x2*x4*x7*x8+25480*x1*x5*x7*x8+15017*x2*x5*x7*x8+16565*x3*x5*x7*x8+30381*x4*x5*x7*x8+2537*x5^2*x7*x8+1009*x1*x6*x7*x8+7314*x2*x6*x7*x8+12065*x3*x6*x7*x8+30022*x4*x6*x7*x8+9951*x5*x6*x7*x8+22283*x6^2*x7*x8+6855*x1*x7^2*x8+13468*x2*x7^2*x8+805*x3*x7^2*x8+30426*x4*x7^2*x8+15961*x5*x7^2*x8+27937*x6*x7^2*x8+27087*x7^3*x8+24995*x2*x4*x8^2+29301*x4^2*x8^2+9531*x1*x5*x8^2+23111*x2*x5*x8^2+1976*x3*x5*x8^2+31521*x4*x5*x8^2+6452*x5^2*x8^2+1046*x1*x6*x8^2+29729*x2*x6*x8^2+1556*x3*x6*x8^2+6127*x4*x6*x8^2+25939*x5*x6*x8^2+21369*x6^2*x8^2+22247*x1*x7*x8^2+23314*x2*x7*x8^2+20227*x3*x7*x8^2+30772*x4*x7*x8^2+29633*x5*x7*x8^2+19174*x6*x7*x8^2+26866*x7^2*x8^2+18931*x1*x8^3+10383*x2*x8^3+19880*x3*x8^3+6667*x4*x8^3+16058*x5*x8^3+28498*x6*x8^3+22211*x7*x8^3+14348*x8^4+18735*x3*x5*x6+31684*x4*x5*x6+17111*x5^2*x6+15646*x1*x6^2+1401*x2*x6^2+22384*x3*x6^2+20041*x4*x6^2+27872*x5*x6^2+22508*x6^3+15031*x2*x4*x7+16484*x1*x5*x7+17907*x2*x5*x7+25159*x3*x5*x7+26930*x4*x5*x7+25321*x5^2*x7+2767*x1*x6*x7+1114*x2*x6*x7+15763*x3*x6*x7+8779*x4*x6*x7+24828*x5*x6*x7+15210*x6^2*x7+28679*x1*x7^2+16943*x2*x7^2+4872*x3*x7^2+4020*x4*x7^2+22553*x5*x7^2+9812*x6*x7^2+27669*x7^3+16943*x2*x4*x8+25544*x4^2*x8+10798*x1*x5*x8+7639*x2*x5*x8+9358*x3*x5*x8+4643*x4*x5*x8+9760*x5^2*x8+6560*x1*x6*x8+22063*x2*x6*x8+9004*x3*x6*x8+28425*x4*x6*x8+30438*x5*x6*x8+25318*x6^2*x8+27272*x1*x7*x8+1151*x2*x7*x8+13804*x3*x7*x8+28043*x4*x7*x8+9280*x5*x7*x8+19983*x6*x7*x8+30147*x7^2*x8+12048*x1*x8^2+29111*x2*x8^2+28634*x3*x8^2+10319*x4*x8^2+7565*x5*x8^2+28375*x6*x8^2+15366*x7*x8^2+14206*x8^3+2740*x2*x4+15333*x4^2+28741*x1*x5+7730*x2*x5+4136*x3*x5+6320*x4*x5+199*x5^2+3555*x1*x6+14459*x2*x6+27570*x3*x6+3477*x4*x6+6169*x5*x6+31579*x6^2+23001*x1*x7+21682*x2*x7+1271*x3*x7+27583*x4*x7+28560*x5*x7+31202*x6*x7+29949*x7^2+8138*x1*x8+12645*x2*x8+11649*x3*x8+16527*x4*x8+3646*x5*x8+20783*x6*x8+9962*x7*x8+4139*x8^2+10163*x1+10100*x2+4831*x3+16617*x4+5027*x5+21668*x6+29411*x7+17262*x8+28500
+1*x4*x6*x7*x8^3+8833*x2*x4*x8^4+9126*x4^2*x8^4+18269*x1*x5*x8^4+6076*x2*x5*x8^4+17479*x3*x5*x8^4+28018*x4*x5*x8^4+4867*x5^2*x8^4+29286*x1*x6*x8^4+31380*x2*x6*x8^4+31618*x3*x6*x8^4+24176*x4*x6*x8^4+8767*x5*x6*x8^4+31942*x6^2*x8^4+17423*x1*x7*x8^4+18471*x2*x7*x8^4+26230*x3*x7*x8^4+9822*x4*x7*x8^4+13728*x5*x7*x8^4+7187*x6*x7*x8^4+31881*x7^2*x8^4+23435*x1*x8^5+23351*x2*x8^5+26750*x3*x8^5+24947*x4*x8^5+19020*x5*x8^5+13707*x6*x8^5+19194*x7*x8^5+27301*x8^6+9829*x3*x5*x6*x8^2+24279*x4*x5*x6*x8^2+4912*x5^2*x6*x8^2+10260*x1*x6^2*x8^2+3412*x2*x6^2*x8^2+24317*x3*x6^2*x8^2+22975*x4*x6^2*x8^2+30315*x5*x6^2*x8^2+8869*x6^3*x8^2+27450*x2*x4*x7*x8^2+19695*x1*x5*x7*x8^2+26388*x2*x5*x7*x8^2+11660*x3*x5*x7*x8^2+26446*x4*x5*x7*x8^2+15600*x5^2*x7*x8^2+29828*x1*x6*x7*x8^2+8291*x2*x6*x7*x8^2+12611*x3*x6*x7*x8^2+9617*x4*x6*x7*x8^2+1858*x5*x6*x7*x8^2+9405*x6^2*x7*x8^2+5164*x1*x7^2*x8^2+24728*x2*x7^2*x8^2+4191*x3*x7^2*x8^2+30659*x4*x7^2*x8^2+26957*x5*x7^2*x8^2+19905*x6*x7^2*x8^2+24897*x7^3*x8^2+22186*x2*x4*x8^3+9950*x4^2*x8^3+14604*x1*x5*x8^3+1298*x2*x5*x8^3+18254*x3*x5*x8^3+14522*x4*x5*x8^3+21506*x5^2*x8^3+23328*x1*x6*x8^3+25142*x2*x6*x8^3+24789*x3*x6*x8^3+24225*x4*x6*x8^3+8186*x5*x6*x8^3+17558*x6^2*x8^3+14558*x1*x7*x8^3+6562*x2*x7*x8^3+18752*x3*x7*x8^3+17328*x4*x7*x8^3+6334*x5*x7*x8^3+21440*x6*x7*x8^3+3313*x7^2*x8^3+2975*x1*x8^4+29707*x2*x8^4+8805*x3*x8^4+2458*x4*x8^4+27546*x5*x8^4+2172*x6*x8^4+781*x7*x8^4+27636*x8^5+13999*x5^2*x7^2+16966*x1*x6*x7^2+17654*x2*x6*x7^2+6346*x3*x6*x7^2+2064*x4*x6*x7^2+21282*x5*x6*x7^2+19854*x6^2*x7^2+14250*x1*x7^3+6704*x2*x7^3+25874*x3*x7^3+20323*x4*x7^3+31979*x5*x7^3+29169*x6*x7^3+9813*x7^4+19376*x3*x5*x6*x8+12247*x4*x5*x6*x8+1332*x5^2*x6*x8+20397*x1*x6^2*x8+10966*x2*x6^2*x8+27484*x3*x6^2*x8+6959*x4*x6^2*x8+13570*x5*x6^2*x8+1493*x6^3*x8+12153*x2*x4*x7*x8+26921*x1*x5*x7*x8+27032*x2*x5*x7*x8+22619*x3*x5*x7*x8+24596*x4*x5*x7*x8+8064*x5^2*x7*x8+10704*x1*x6*x7*x8+25027*x2*x6*x7*x8+31409*x3*x6*x7*x8+7056*x4*x6*x7*x8+17025*x5*x6*x7*x8+28843*x6^2*x7*x8+483*x1*x7^2*x8+16255*x2*x7^2*x8+1173*x3*x7^2*x8+3033*x4*x7^2*x8+24975*x5*x7^2*x8+17871*x6*x7^2*x8+30902*x7^3*x8+23260*x2*x4*x8^2+7681*x4^2*x8^2+19699*x1*x5*x8^2+2156*x2*x5*x8^2+17230*x3*x5*x8^2+15240*x4*x5*x8^2+18511*x5^2*x8^2+22989*x1*x6*x8^2+20804*x2*x6*x8^2+29960*x3*x6*x8^2+1759*x4*x6*x8^2+19830*x5*x6*x8^2+20612*x6^2*x8^2+6303*x1*x7*x8^2+23504*x2*x7*x8^2+15079*x3*x7*x8^2+58*x4*x7*x8^2+17449*x5*x7*x8^2+22815*x6*x7*x8^2+2962*x7^2*x8^2+15568*x1*x8^3+9302*x2*x8^3+2243*x3*x8^3+9477*x4*x8^3+13701*x5*x8^3+9400*x6*x8^3+31549*x7*x8^3+20912*x8^4+14539*x3*x5*x6+17448*x4*x5*x6+11210*x5^2*x6+19069*x1*x6^2+16231*x2*x6^2+28076*x3*x6^2+4760*x4*x6^2+31284*x5*x6^2+28184*x6^3+2701*x2*x4*x7+5833*x1*x5*x7+15536*x2*x5*x7+27068*x3*x5*x7+28798*x4*x5*x7+15717*x5^2*x7+25905*x1*x6*x7+8795*x2*x6*x7+29780*x3*x6*x7+22012*x4*x6*x7+1658*x5*x6*x7+21127*x6^2*x7+22231*x1*x7^2+15708*x2*x7^2+9325*x3*x7^2+13146*x4*x7^2+26179*x5*x7^2+1199*x6*x7^2+13722*x7^3+10642*x2*x4*x8+27733*x4^2*x8+12613*x1*x5*x8+11803*x2*x5*x8+5537*x3*x5*x8+6576*x4*x5*x8+20528*x5^2*x8+8538*x1*x6*x8+24771*x2*x6*x8+27185*x3*x6*x8+18012*x4*x6*x8+3917*x5*x6*x8+29014*x6^2*x8+23790*x1*x7*x8+6110*x2*x7*x8+13533*x3*x7*x8+17148*x4*x7*x8+10454*x5*x7*x8+30641*x6*x7*x8+31987*x7^2*x8+15722*x1*x8^2+7505*x2*x8^2+10291*x3*x8^2+21933*x4*x8^2+29652*x5*x8^2+22355*x6*x8^2+8231*x7*x8^2+27477*x8^3+7143*x2*x4+13382*x4^2+3686*x1*x5+852*x2*x5+2724*x3*x5+25916*x4*x5+22252*x5^2+8852*x1*x6+1259*x2*x6+888*x3*x6+27872*x4*x6+21649*x5*x6+5969*x6^2+20780*x1*x7+31288*x2*x7+5802*x3*x7+28829*x4*x7+22598*x5*x7+6810*x6*x7+26154*x7^2+3001*x1*x8+3348*x2*x8+19884*x3*x8+13722*x4*x8+16423*x5*x8+30380*x6*x8+25414*x7*x8+16112*x8^2+20174*x1+13850*x2+23549*x3+4540*x4+1663*x5+8511*x6+14838*x7+1694*x8+17764
+1*x3*x6*x7*x8^3+14467*x2*x4*x8^4+12134*x4^2*x8^4+7192*x1*x5*x8^4+19708*x2*x5*x8^4+22529*x3*x5*x8^4+17578*x4*x5*x8^4+7872*x5^2*x8^4+29664*x1*x6*x8^4+27687*x2*x6*x8^4+21200*x3*x6*x8^4+30937*x4*x6*x8^4+29402*x5*x6*x8^4+19580*x6^2*x8^4+19455*x1*x7*x8^4+8630*x2*x7*x8^4+3981*x3*x7*x8^4+25251*x4*x7*x8^4+24451*x5*x7*x8^4+19837*x6*x7*x8^4+1855*x7^2*x8^4+17208*x1*x8^5+4837*x2*x8^5+9076*x3*x8^5+10593*x4*x8^5+23592*x5*x8^5+25564*x6*x8^5+20492*x7*x8^5+2886*x8^6+15438*x3*x5*x6*x8^2+8408*x4*x5*x6*x8^2+20238*x5^2*x6*x8^2+10936*x1*x6^2*x8^2+22069*x2*x6^2*x8^2+26852*x3*x6^2*x8^2+6744*x4*x6^2*x8^2+30990*x5*x6^2*x8^2+5328*x6^3*x8^2+8072*x2*x4*x7*x8^2+18385*x1*x5*x7*x8^2+19910*x2*x5*x7*x8^2+13187*x3*x5*x7*x8^2+25706*x4*x5*x7*x8^2+29556*x5^2*x7*x8^2+25101*x1*x6*x7*x8^2+19331*x2*x6*x7*x8^2+20779*x3*x6*x7*x8^2+10500*x4*x6*x7*x8^2+12515*x5*x6*x7*x8^2+3662*x6^2*x7*x8^2+23730*x1*x7^2*x8^2+25916*x2*x7^2*x8^2+27316*x3*x7^2*x8^2+28389*x4*x7^2*x8^2+31948*x5*x7^2*x8^2+17056*x6*x7^2*x8^2+631*x7^3*x8^2+15257*x2*x4*x8^3+18341*x4^2*x8^3+8141*x1*x5*x8^3+18298*x2*x5*x8^3+18699*x3*x5*x8^3+30159*x4*x5*x8^3+31956*x5^2*x8^3+14912*x1*x6*x8^3+23871*x2*x6*x8^3+11467*x3*x6*x8^3+28852*x4*x6*x8^3+12267*x5*x6*x8^3+30087*x6^2*x8^3+1433*x1*x7*x8^3+19113*x2*x7*x8^3+17982*x3*x7*x8^3+11377*x4*x7*x8^3+24884*x5*x7*x8^3+25154*x6*x7*x8^3+27265*x7^2*x8^3+23124*x1*x8^4+30490*x2*x8^4+8417*x3*x8^4+30770*x4*x8^4+21893*x5*x8^4+28749*x6*x8^4+30054*x7*x8^4+28765*x8^5+31794*x5^2*x7^2+16413*x1*x6*x7^2+10485*x2*x6*x7^2+1020*x3*x6*x7^2+28558*x4*x6*x7^2+7456*x5*x6*x7^2+21521*x6^2*x7^2+26232*x1*x7^3+9065*x2*x7^3+22189*x3*x7^3+11589*x4*x7^3+5826*x5*x7^3+21598*x6*x7^3+23423*x7^4+27360*x3*x5*x6*x8+1568*x4*x5*x6*x8+21410*x5^2*x6*x8+29241*x1*x6^2*x8+16978*x2*x6^2*x8+20118*x3*x6^2*x8+14226*x4*x6^2*x8+21942*x5*x6^2*x8+10753*x6^3*x8+21499*x2*x4*x7*x8+12361*x1*x5*x7*x8+23508*x2*x5*x7*x8+19679*x3*x5*x7*x8+19238*x4*x5*x7*x8+24425*x5^2*x7*x8+25618*x1*x6*x7*x8+28454*x2*x6*x7*x8+5470*x3*x6*x7*x8+7581*x4*x6*x7*x8+8709*x5*x6*x7*x8+21003*x6^2*x7*x8+11955*x1*x7^2*x8+25883*x2*x7^2*x8+10508*x3*x7^2*x8+3029*x4*x7^2*x8+2998*x5*x7^2*x8+23744*x6*x7^2*x8+7252*x7^3*x8+24048*x2*x4*x8^2+24532*x4^2*x8^2+29915*x1*x5*x8^2+21287*x2*x5*x8^2+6305*x3*x5*x8^2+12564*x4*x5*x8^2+18097*x5^2*x8^2+6309*x1*x6*x8^2+2960*x2*x6*x8^2+27490*x3*x6*x8^2+19355*x4*x6*x8^2+17578*x5*x6*x8^2+15805*x6^2*x8^2+9381*x1*x7*x8^2+12393*x2*x7*x8^2+4270*x3*x7*x8^2+31578*x4*x7*x8^2+18495*x5*x7*x8^2+23156*x6*x7*x8^2+6313*x7^2*x8^2+23256*x1*x8^3+16077*x2*x8^3+12489*x3*x8^3+19319*x4*x8^3+9118*x5*x8^3+16350*x6*x8^3+27034*x7*x8^3+31542*x8^4+23004*x3*x5*x6+10686*x4*x5*x6+21028*x5^2*x6+3439*x1*x6^2+11979*x2*x6^2+12407*x3*x6^2+15549*x4*x6^2+30258*x5*x6^2+28883*x6^3+26396*x2*x4*x7+16784*x1*x5*x7+18475*x2*x5*x7+16213*x3*x5*x7+2464*x4*x5*x7+2443*x5^2*x7+14092*x1*x6*x7+28915*x2*x6*x7+11675*x3*x6*x7+20463*x4*x6*x7+2772*x5*x6*x7+23728*x6^2*x7+29319*x1*x7^2+539*x2*x7^2+12375*x3*x7^2+21106*x4*x7^2+11776*x5*x7^2+31719*x6*x7^2+26498*x7^3+31428*x2*x4*x8+12733*x4^2*x8+23531*x1*x5*x8+14627*x2*x5*x8+31486*x3*x5*x8+21130*x4*x5*x8+23898*x5^2*x8+29456*x1*x6*x8+5817*x2*x6*x8+22722*x3*x6*x8+26794*x4*x6*x8+26383*x5*x6*x8+14283*x6^2*x8+4265*x1*x7*x8+20846*x2*x7*x8+2162*x3*x7*x8+709*x4*x7*x8+26648*x5*x7*x8+9574*x6*x7*x8+6378*x7^2*x8+14*x1*x8^2+30057*x2*x8^2+31378*x3*x8^2+4278*x4*x8^2+10383*x5*x8^2+18232*x6*x8^2+22232*x7*x8^2+11177*x8^3+21165*x2*x4+7393*x4^2+21926*x1*x5+27071*x2*x5+3523*x3*x5+29892*x4*x5+22005*x5^2+4242*x1*x6+31099*x2*x6+20881*x3*x6+29960*x4*x6+463*x5*x6+480*x6^2+28804*x1*x7+17553*x2*x7+22022*x3*x7+20304*x4*x7+7434*x5*x7+14148*x6*x7+12292*x7^2+20929*x1*x8+2069*x2*x8+18448*x3*x8+2281*x4*x8+27233*x5*x8+9652*x6*x8+6446*x7*x8+11742*x8^2+9520*x1+8650*x2+10787*x3+12572*x4+25728*x5+9677*x6+440*x7+29388*x8+18332
+1*x2*x6*x7*x8^3+28264*x2*x4*x8^4+3848*x4^2*x8^4+21153*x1*x5*x8^4+3768*x2*x5*x8^4+27383*x3*x5*x8^4+21268*x4*x5*x8^4+16180*x5^2*x8^4+25541*x1*x6*x8^4+22099*x2*x6*x8^4+5710*x3*x6*x8^4+21193*x4*x6*x8^4+19285*x5*x6*x8^4+14632*x6^2*x8^4+2722*x1*x7*x8^4+10707*x2*x7*x8^4+11476*x3*x7*x8^4+9052*x4*x7*x8^4+7057*x5*x7*x8^4+23766*x6*x7*x8^4+16356*x7^2*x8^4+8077*x1*x8^5+2743*x2*x8^5+22920*x3*x8^5+28861*x4*x8^5+9045*x5*x8^5+4526*x6*x8^5+13531*x7*x8^5+25925*x8^6+16738*x3*x5*x6*x8^2+6053*x4*x5*x6*x8^2+21643*x5^2*x6*x8^2+30986*x1*x6^2*x8^2+14846*x2*x6^2*x8^2+9862*x3*x6^2*x8^2+24221*x4*x6^2*x8^2+31477*x5*x6^2*x8^2+20980*x6^3*x8^2+25136*x2*x4*x7*x8^2+13560*x1*x5*x7*x8^2+11144*x2*x5*x7*x8^2+4700*x3*x5*x7*x8^2+4744*x4*x5*x7*x8^2+20440*x5^2*x7*x8^2+25963*x1*x6*x7*x8^2+10501*x2*x6*x7*x8^2+8631*x3*x6*x7*x8^2+24771*x4*x6*x7*x8^2+3511*x5*x6*x7*x8^2+5883*x6^2*x7*x8^2+11663*x1*x7^2*x8^2+19829*x2*x7^2*x8^2+19931*x3*x7^2*x8^2+15959*x4*x7^2*x8^2+4527*x5*x7^2*x8^2+23848*x6*x7^2*x8^2+3878*x7^3*x8^2+453*x2*x4*x8^3+29584*x4^2*x8^3+31273*x1*x5*x8^3+21654*x2*x5*x8^3+7119*x3*x5*x8^3+13729*x4*x5*x8^3+8740*x5^2*x8^3+13160*x1*x6*x8^3+2824*x2*x6*x8^3+12223*x3*x6*x8^3+1643*x4*x6*x8^3+27866*x5*x6*x8^3+28978*x6^2*x8^3+8149*x1*x7*x8^3+21822*x2*x7*x8^3+10509*x3*x7*x8^3+25769*x4*x7*x8^3+2049*x5*x7*x8^3+26013*x6*x7*x8^3+4561*x7^2*x8^3+14749*x1*x8^4+24037*x2*x8^4+19454*x3*x8^4+14284*x4*x8^4+26014*x5*x8^4+10729*x6*x8^4+6566*x7*x8^4+6372*x8^5+23799*x5^2*x7^2+13099*x1*x6*x7^2+23291*x2*x6*x7^2+30042*x3*x6*x7^2+9899*x4*x6*x7^2+12421*x5*x6*x7^2+5975*x6^2*x7^2+8377*x1*x7^3+31825*x2*x7^3+13750*x3*x7^3+5378*x4*x7^3+11768*x5*x7^3+722*x6*x7^3+16381*x7^4+31120*x3*x5*x6*x8+27228*x4*x5*x6*x8+3148*x5^2*x6*x8+11963*x1*x6^2*x8+4108*x2*x6^2*x8+24686*x3*x6^2*x8+26789*x4*x6^2*x8+13780*x5*x6^2*x8+4221*x6^3*x8+11889*x2*x4*x7*x8+16242*x1*x5*x7*x8+30891*x2*x5*x7*x8+12207*x3*x5*x7*x8+18534*x4*x5*x7*x8+10847*x5^2*x7*x8+10273*x1*x6*x7*x8+25158*x2*x6*x7*x8+25614*x3*x6*x7*x8+18819*x4*x6*x7*x8+24057*x5*x6*x7*x8+6386*x6^2*x7*x8+2216*x1*x7^2*x8+31566*x2*x7^2*x8+19482*x3*x7^2*x8+26057*x4*x7^2*x8+2880*x5*x7^2*x8+13974*x6*x7^2*x8+14606*x7^3*x8+1394*x2*x4*x8^2+11662*x4^2*x8^2+28374*x1*x5*x8^2+29931*x2*x5*x8^2+27963*x3*x5*x8^2+6184*x4*x5*x8^2+10523*x5^2*x8^2+31822*x1*x6*x8^2+3704*x2*x6*x8^2+30372*x3*x6*x8^2+3368*x4*x6*x8^2+1935*x5*x6*x8^2+18272*x6^2*x8^2+15116*x1*x7*x8^2+21663*x2*x7*x8^2+21406*x3*x7*x8^2+31467*x4*x7*x8^2+3426*x5*x7*x8^2+14244*x6*x7*x8^2+30553*x7^2*x8^2+25680*x1*x8^3+22326*x2*x8^3+18490*x3*x8^3+31101*x4*x8^3+22063*x5*x8^3+7670*x6*x8^3+4454*x7*x8^3+5553*x8^4+15027*x3*x5*x6+21814*x4*x5*x6+23770*x5^2*x6+17639*x1*x6^2+15261*x2*x6^2+2053*x3*x6^2+27257*x4*x6^2+11412*x5*x6^2+17292*x6^3+8771*x2*x4*x7+22970*x1*x5*x7+3603*x2*x5*x7+26389*x3*x5*x7+2718*x4*x5*x7+16184*x5^2*x7+6621*x1*x6*x7+29554*x2*x6*x7+26192*x3*x6*x7+15399*x4*x6*x7+20280*x5*x6*x7+13788*x6^2*x7+14378*x1*x7^2+29734*x2*x7^2+20507*x3*x7^2+15967*x4*x7^2+5563*x5*x7^2+30579*x6*x7^2+5311*x7^3+25236*x2*x4*x8+1064*x4^2*x8+2414*x1*x5*x8+9523*x2*x5*x8+19561*x3*x5*x8+4889*x4*x5*x8+16648*x5^2*x8+27563*x1*x6*x8+21797*x2*x6*x8+13839*x3*x6*x8+15297*x4*x6*x8+3702*x5*x6*x8+12048*x6^2*x8+22589*x1*x7*x8+27194*x2*x7*x8+313*x3*x7*x8+9429*x4*x7*x8+21491*x5*x7*x8+23803*x6*x7*x8+9753*x7^2*x8+21430*x1*x8^2+15241*x2*x8^2+6028*x3*x8^2+8912*x4*x8^2+957*x5*x8^2+24256*x6*x8^2+31825*x7*x8^2+30795*x8^3+15727*x2*x4+19640*x4^2+22246*x1*x5+20034*x2*x5+10002*x3*x5+30408*x4*x5+11675*x5^2+2304*x1*x6+23108*x2*x6+16897*x3*x6+3580*x4*x6+10290*x5*x6+18067*x6^2+29352*x1*x7+443*x2*x7+14868*x3*x7+19883*x4*x7+16011*x5*x7+14994*x6*x7+15639*x7^2+21665*x1*x8+7426*x2*x8+10089*x3*x8+9524*x4*x8+8249*x5*x8+26324*x6*x8+20291*x7*x8+6915*x8^2+17317*x1+22636*x2+10022*x3+29772*x4+19821*x5+9835*x6+19076*x7+19531*x8+20788
+1*x1*x6*x7*x8^3+13969*x2*x4*x8^4+9443*x4^2*x8^4+10570*x1*x5*x8^4+26455*x2*x5*x8^4+21689*x3*x5*x8^4+3833*x4*x5*x8^4+19316*x5^2*x8^4+23254*x1*x6*x8^4+16098*x2*x6*x8^4+31912*x3*x6*x8^4+12351*x4*x6*x8^4+30378*x5*x6*x8^4+23051*x6^2*x8^4+31095*x1*x7*x8^4+22467*x2*x7*x8^4+27722*x3*x7*x8^4+31467*x4*x7*x8^4+17492*x5*x7*x8^4+17932*x6*x7*x8^4+16727*x7^2*x8^4+9338*x1*x8^5+5833*x2*x8^5+23304*x3*x8^5+4744*x4*x8^5+2370*x5*x8^5+24563*x6*x8^5+26407*x7*x8^5+22628*x8^6+27436*x3*x5*x6*x8^2+1620*x4*x5*x6*x8^2+26185*x5^2*x6*x8^2+5582*x1*x6^2*x8^2+26905*x2*x6^2*x8^2+17082*x3*x6^2*x8^2+17028*x4*x6^2*x8^2+27284*x5*x6^2*x8^2+17702*x6^3*x8^2+18407*x2*x4*x7*x8^2+1195*x1*x5*x7*x8^2+17503*x2*x5*x7*x8^2+20123*x3*x5*x7*x8^2+26737*x4*x5*x7*x8^2+31628*x5^2*x7*x8^2+4479*x1*x6*x7*x8^2+10781*x2*x6*x7*x8^2+13016*x3*x6*x7*x8^2+25873*x4*x6*x7*x8^2+24805*x5*x6*x7*x8^2+1506*x6^2*x7*x8^2+9542*x1*x7^2*x8^2+16784*x2*x7^2*x8^2+20749*x3*x7^2*x8^2+12054*x4*x7^2*x8^2+20900*x5*x7^2*x8^2+1554*x6*x7^2*x8^2+13155*x7^3*x8^2+17174*x2*x4*x8^3+24537*x4^2*x8^3+16773*x1*x5*x8^3+19856*x2*x5*x8^3+30945*x3*x5*x8^3+10798*x4*x5*x8^3+12409*x5^2*x8^3+23366*x1*x6*x8^3+20397*x2*x6*x8^3+13833*x3*x6*x8^3+6039*x4*x6*x8^3+10847*x5*x6*x8^3+16728*x6^2*x8^3+19955*x1*x7*x8^3+2482*x2*x7*x8^3+28296*x3*x7*x8^3+27430*x4*x7*x8^3+4116*x5*x7*x8^3+12299*x6*x7*x8^3+2988*x7^2*x8^3+15926*x1*x8^4+13002*x2*x8^4+31074*x3*x8^4+26017*x4*x8^4+31964*x5*x8^4+19426*x6*x8^4+16713*x7*x8^4+4710*x8^5+9162*x5^2*x7^2+24693*x1*x6*x7^2+26873*x2*x6*x7^2+20865*x3*x6*x7^2+9130*x4*x6*x7^2+19088*x5*x6*x7^2+13811*x6^2*x7^2+15219*x1*x7^3+15877*x2*x7^3+23856*x3*x7^3+12035*x4*x7^3+20818*x5*x7^3+28056*x6*x7^3+13142*x7^4+16073*x3*x5*x6*x8+17026*x4*x5*x6*x8+22158*x5^2*x6*x8+15755*x1*x6^2*x8+15977*x2*x6^2*x8+28647*x3*x6^2*x8+25776*x4*x6^2*x8+79*x5*x6^2*x8+15052*x6^3*x8+13013*x2*x4*x7*x8+801*x1*x5*x7*x8+23130*x2*x5*x7*x8+7256*x3*x5*x7*x8+25703*x4*x5*x7*x8+11922*x5^2*x7*x8+22893*x1*x6*x7*x8+24434*x2*x6*x7*x8+11987*x3*x6*x7*x8+15680*x4*x6*x7*x8+27996*x5*x6*x7*x8+28921*x6^2*x7*x8+241*x1*x7^2*x8+9382*x2*x7^2*x8+10106*x3*x7^2*x8+12451*x4*x7^2*x8+28448*x5*x7^2*x8+22810*x6*x7^2*x8+24466*x7^3*x8+26036*x2*x4*x8^2+27618*x4^2*x8^2+21583*x1*x5*x8^2+20640*x2*x5*x8^2+4049*x3*x5*x8^2+691*x4*x5*x8^2+31998*x5^2*x8^2+23049*x1*x6*x8^2+26140*x2*x6*x8^2+1803*x3*x6*x8^2+13888*x4*x6*x8^2+30969*x5*x6*x8^2+930*x6^2*x8^2+22202*x1*x7*x8^2+7403*x2*x7*x8^2+30522*x3*x7*x8^2+2854*x4*x7*x8^2+17450*x5*x7*x8^2+20306*x6*x7*x8^2+14507*x7^2*x8^2+20834*x1*x8^3+18992*x2*x8^3+12554*x3*x8^3+26828*x4*x8^3+922*x5*x8^3+20107*x6*x8^3+6136*x7*x8^3+11210*x8^4+738*x3*x5*x6+17699*x4*x5*x6+15267*x5^2*x6+13763*x1*x6^2+20324*x2*x6^2+20395*x3*x6^2+9577*x4*x6^2+10631*x5*x6^2+9583*x6^3+5043*x2*x4*x7+12500*x1*x5*x7+27340*x2*x5*x7+22681*x3*x5*x7+20094*x4*x5*x7+27374*x5^2*x7+27305*x1*x6*x7+24048*x2*x6*x7+30275*x3*x6*x7+17901*x4*x6*x7+17929*x5*x6*x7+9934*x6^2*x7+10335*x1*x7^2+29287*x2*x7^2+22947*x3*x7^2+3815*x4*x7^2+23420*x5*x7^2+3693*x6*x7^2+17428*x7^3+9755*x2*x4*x8+20006*x4^2*x8+20407*x1*x5*x8+22041*x2*x5*x8+15068*x3*x5*x8+9792*x4*x5*x8+5050*x5^2*x8+10502*x1*x6*x8+12430*x2*x6*x8+7106*x3*x6*x8+27179*x4*x6*x8+14853*x5*x6*x8+28440*x6^2*x8+19195*x1*x7*x8+12729*x2*x7*x8+13844*x3*x7*x8+18823*x4*x7*x8+22238*x5*x7*x8+20686*x6*x7*x8+23779*x7^2*x8+25002*x1*x8^2+13087*x2*x8^2+881*x3*x8^2+25431*x4*x8^2+19685*x5*x8^2+11575*x6*x8^2+10671*x7*x8^2+6703*x8^3+6256*x2*x4+20263*x4^2+8809*x1*x5+16028*x2*x5+7519*x3*x5+4713*x4*x5+23391*x5^2+4982*x1*x6+18849*x2*x6+20962*x3*x6+16088*x4*x6+30388*x5*x6+10015*x6^2+7458*x1*x7+20827*x2*x7+20183*x3*x7+4704*x4*x7+29520*x5*x7+26014*x6*x7+30818*x7^2+11085*x1*x8+16767*x2*x8+11193*x3*x8+13250*x4*x8+17411*x5*x8+28866*x6*x8+7838*x7*x8+3945*x8^2+23110*x1+9603*x2+1906*x3+15289*x4+31954*x5+14312*x6+2509*x7+24025*x8+7813
+1*x5^2*x7*x8^3+9138*x2*x4*x8^4+12655*x4^2*x8^4+31351*x1*x5*x8^4+3690*x2*x5*x8^4+28155*x3*x5*x8^4+9881*x4*x5*x8^4+13252*x5^2*x8^4+31050*x1*x6*x8^4+2789*x2*x6*x8^4+10952*x3*x6*x8^4+28250*x4*x6*x8^4+27836*x5*x6*x8^4+31121*x6^2*x8^4+28084*x1*x7*x8^4+30880*x2*x7*x8^4+11551*x3*x7*x8^4+21181*x4*x7*x8^4+26926*x5*x7*x8^4+24153*x6*x7*x8^4+23364*x7^2*x8^4+4053*x1*x8^5+18053*x2*x8^5+25999*x3*x8^5+12346*x4*x8^5+16466*x5*x8^5+21316*x6*x8^5+26788*x7*x8^5+28367*x8^6+15530*x3*x5*x6*x8^2+29766*x4*x5*x6*x8^2+30022*x5^2*x6*x8^2+27940*x1*x6^2*x8^2+26008*x2*x6^2*x8^2+21731*x3*x6^2*x8^2+17441*x4*x6^2*x8^2+26464*x5*x6^2*x8^2+25154*x6^3*x8^2+30816*x2*x4*x7*x8^2+16884*x1*x5*x7*x8^2+30319*x2*x5*x7*x8^2+4531*x3*x5*x7*x8^2+3115*x4*x5*x7*x8^2+2362*x5^2*x7*x8^2+7732*x1*x6*x7*x8^2+25761*x2*x6*x7*x8^2+4728*x3*x6*x7*x8^2+7330*x4*x6*x7*x8^2+26421*x5*x6*x7*x8^2+305*x6^2*x7*x8^2+14693*x1*x7^2*x8^2+24198*x2*x7^2*x8^2+28942*x3*x7^2*x8^2+11578*x4*x7^2*x8^2+23743*x5*x7^2*x8^2+2785*x6*x7^2*x8^2+5002*x7^3*x8^2+21464*x2*x4*x8^3+25079*x4^2*x8^3+15018*x1*x5*x8^3+14558*x2*x5*x8^3+17038*x3*x5*x8^3+28356*x4*x5*x8^3+10721*x5^2*x8^3+6623*x1*x6*x8^3+29938*x2*x6*x8^3+19626*x3*x6*x8^3+23331*x4*x6*x8^3+4150*x5*x6*x8^3+10178*x6^2*x8^3+24286*x1*x7*x8^3+20913*x2*x7*x8^3+18654*x3*x7*x8^3+17026*x4*x7*x8^3+14414*x5*x7*x8^3+3916*x6*x7*x8^3+24746*x7^2*x8^3+12440*x1*x8^4+29478*x2*x8^4+273*x3*x8^4+4652*x4*x8^4+24526*x5*x8^4+30024*x6*x8^4+13906*x7*x8^4+5187*x8^5+31816*x5^2*x7^2+15849*x1*x6*x7^2+7296*x2*x6*x7^2+24683*x3*x6*x7^2+24961*x4*x6*x7^2+3706*x5*x6*x7^2+3150*x6^2*x7^2+30523*x1*x7^3+6644*x2*x7^3+17440*x3*x7^3+20663*x4*x7^3+15423*x5*x7^3+18550*x6*x7^3+26440*x7^4+20674*x3*x5*x6*x8+5721*x4*x5*x6*x8+28304*x5^2*x6*x8+3552*x1*x6^2*x8+29146*x2*x6^2*x8+18137*x3*x6^2*x8+19925*x4*x6^2*x8+365*x5*x6^2*x8+8467*x6^3*x8+14981*x2*x4*x7*x8+15379*x1*x5*x7*x8+26831*x2*x5*x7*x8+29904*x3*x5*x7*x8+31505*x4*x5*x7*x8+71*x5^2*x7*x8+2124*x1*x6*x7*x8+22101*x2*x6*x7*x8+8681*x3*x6*x7*x8+4093*x4*x6*x7*x8+16428*x5*x6*x7*x8+24050*x6^2*x7*x8+30249*x1*x7^2*x8+31421*x2*x7^2*x8+17142*x3*x7^2*x8+2102*x4*x7^2*x8+30886*x5*x7^2*x8+23824*x6*x7^2*x8+1631*x7^3*x8+31699*x2*x4*x8^2+17034*x4^2*x8^2+13614*x1*x5*x8^2+10324*x2*x5*x8^2+11809*x3*x5*x8^2+18311*x4*x5*x8^2+31010*x5^2*x8^2+26333*x1*x6*x8^2+3911*x2*x6*x8^2+28087*x3*x6*x8^2+17797*x4*x6*x8^2+19052*x5*x6*x8^2+10411*x6^2*x8^2+15531*x1*x7*x8^2+15778*x2*x7*x8^2+25322*x3*x7*x8^2+5414*x4*x7*x8^2+10358*x5*x7*x8^2+13807*x6*x7*x8^2+27622*x7^2*x8^2+30718*x1*x8^3+24684*x2*x8^3+1820*x3*x8^3+17381*x4*x8^3+26140*x5*x8^3+27513*x6*x8^3+4443*x7*x8^3+15555*x8^4+7142*x3*x5*x6+26599*x4*x5*x6+23629*x5^2*x6+9527*x1*x6^2+17598*x2*x6^2+12814*x3*x6^2+4911*x4*x6^2+5169*x5*x6^2+7969*x6^3+12187*x2*x4*x7+31674*x1*x5*x7+10444*x2*x5*x7+8979*x3*x5*x7+18090*x4*x5*x7+8102*x5^2*x7+28992*x1*x6*x7+31832*x2*x6*x7+26329*x3*x6*x7+29993*x4*x6*x7+3226*x5*x6*x7+14758*x6^2*x7+24493*x1*x7^2+6184*x2*x7^2+19155*x3*x7^2+4202*x4*x7^2+3521*x5*x7^2+6290*x6*x7^2+5460*x7^3+11046*x2*x4*x8+28245*x4^2*x8+7252*x1*x5*x8+21673*x2*x5*x8+30268*x3*x5*x8+12409*x4*x5*x8+15164*x5^2*x8+16688*x1*x6*x8+27622*x2*x6*x8+5035*x3*x6*x8+13979*x4*x6*x8+8735*x5*x6*x8+21495*x6^2*x8+30543*x1*x7*x8+5651*x2*x7*x8+23480*x3*x7*x8+19391*x4*x7*x8+6219*x5*x7*x8+23912*x6*x7*x8+19664*x7^2*x8+21407*x1*x8^2+1459*x2*x8^2+19385*x3*x8^2+29254*x4*x8^2+18349*x5*x8^2+9177*x6*x8^2+497*x7*x8^2+25373*x8^3+19796*x2*x4+4169*x4^2+13175*x1*x5+28911*x2*x5+7783*x3*x5+25643*x4*x5+11508*x5^2+21101*x1*x6+20305*x2*x6+6763*x3*x6+24683*x4*x6+3710*x5*x6+6463*x6^2+2653*x1*x7+7443*x2*x7+23100*x3*x7+22491*x4*x7+5250*x5*x7+20218*x6*x7+1951*x7^2+9345*x1*x8+16243*x2*x8+4254*x3*x8+6358*x4*x8+30885*x5*x8+23067*x6*x8+16803*x7*x8+23757*x8^2+16722*x1+20300*x2+2140*x3+17479*x4+11300*x5+19794*x6+27104*x7+22118*x8+2207
+1*x4*x5*x7*x8^3+9337*x2*x4*x8^4+10809*x4^2*x8^4+9548*x1*x5*x8^4+23341*x2*x5*x8^4+5591*x3*x5*x8^4+24594*x4*x5*x8^4+20630*x5^2*x8^4+26410*x1*x6*x8^4+22391*x2*x6*x8^4+14661*x3*x6*x8^4+28157*x4*x6*x8^4+12295*x5*x6*x8^4+15686*x6^2*x8^4+31646*x1*x7*x8^4+15680*x2*x7*x8^4+13049*x3*x7*x8^4+21905*x4*x7*x8^4+1838*x5*x7*x8^4+15873*x6*x7*x8^4+7896*x7^2*x8^4+14284*x1*x8^5+10586*x2*x8^5+2957*x3*x8^5+6057*x4*x8^5+21196*x5*x8^5+21891*x6*x8^5+28487*x7*x8^5+22951*x8^6+2571*x3*x5*x6*x8^2+17455*x4*x5*x6*x8^2+30004*x5^2*x6*x8^2+4992*x1*x6^2*x8^2+22454*x2*x6^2*x8^2+27020*x3*x6^2*x8^2+10693*x4*x6^2*x8^2+15397*x5*x6^2*x8^2+30635*x6^3*x8^2+1371*x2*x4*x7*x8^2+344*x1*x5*x7*x8^2+2312*x2*x5*x7*x8^2+20381*x3*x5*x7*x8^2+17209*x4*x5*x7*x8^2+12651*x5^2*x7*x8^2+28493*x1*x6*x7*x8^2+17822*x2*x6*x7*x8^2+30197*x3*x6*x7*x8^2+27254*x4*x6*x7*x8^2+25809*x5*x6*x7*x8^2+7446*x6^2*x7*x8^2+16325*x1*x7^2*x8^2+15492*x2*x7^2*x8^2+1093*x3*x7^2*x8^2+4978*x4*x7^2*x8^2+6724*x5*x7^2*x8^2+23838*x6*x7^2*x8^2+611*x7^3*x8^2+10176*x2*x4*x8^3+28631*x4^2*x8^3+4386*x1*x5*x8^3+3953*x2*x5*x8^3+25248*x3*x5*x8^3+13275*x4*x5*x8^3+8937*x5^2*x8^3+4221*x1*x6*x8^3+16306*x2*x6*x8^3+26186*x3*x6*x8^3+1516*x4*x6*x8^3+10234*x5*x6*x8^3+9344*x6^2*x8^3+8672*x1*x7*x8^3+25805*x2*x7*x8^3+4514*x3*x7*x8^3+15885*x4*x7*x8^3+20340*x5*x7*x8^3+14287*x6*x7*x8^3+475*x7^2*x8^3+14785*x1*x8^4+26174*x2*x8^4+6269*x3*x8^4+30363*x4*x8^4+2081*x5*x8^4+23525*x6*x8^4+18041*x7*x8^4+4119*x8^5+31053*x5^2*x7^2+10295*x1*x6*x7^2+483*x2*x6*x7^2+5942*x3*x6*x7^2+7354*x4*x6*x7^2+9538*x5*x6*x7^2+18923*x6^2*x7^2+1366*x1*x7^3+13010*x2*x7^3+1278*x3*x7^3+6231*x4*x7^3+12660*x5*x7^3+2443*x6*x7^3+13079*x7^4+30928*x3*x5*x6*x8+17908*x4*x5*x6*x8+26252*x5^2*x6*x8+10867*x1*x6^2*x8+29013*x2*x6^2*x8+12341*x3*x6^2*x8+11887*x4*x6^2*x8+4163*x5*x6^2*x8+26874*x6^3*x8+23151*x2*x4*x7*x8+24282*x1*x5*x7*x8+28345*x2*x5*x7*x8+10136*x3*x5*x7*x8+1609*x4*x5*x7*x8+8024*x5^2*x7*x8+28028*x1*x6*x7*x8+8856*x2*x6*x7*x8+27274*x3*x6*x7*x8+31377*x4*x6*x7*x8+25484*x5*x6*x7*x8+14915*x6^2*x7*x8+23355*x1*x7^2*x8+23591*x2*x7^2*x8+20406*x3*x7^2*x8+15886*x4*x7^2*x8+26133*x5*x7^2*x8+3920*x6*x7^2*x8+20594*x7^3*x8+26032*x2*x4*x8^2+30515*x4^2*x8^2+14340*x1*x5*x8^2+16270*x2*x5*x8^2+4550*x3*x5*x8^2+25681*x4*x5*x8^2+6184*x5^2*x8^2+30125*x1*x6*x8^2+23627*x2*x6*x8^2+2639*x3*x6*x8^2+22229*x4*x6*x8^2+23750*x5*x6*x8^2+3646*x6^2*x8^2+3195*x1*x7*x8^2+30225*x2*x7*x8^2+20971*x3*x7*x8^2+15443*x4*x7*x8^2+1545*x5*x7*x8^2+7723*x6*x7*x8^2+1836*x7^2*x8^2+22772*x1*x8^3+10623*x2*x8^3+12263*x3*x8^3+10385*x4*x8^3+8557*x5*x8^3+30730*x6*x8^3+12179*x7*x8^3+27846*x8^4+24717*x3*x5*x6+1392*x4*x5*x6+20818*x5^2*x6+5246*x1*x6^2+18084*x2*x6^2+29007*x3*x6^2+6853*x4*x6^2+8876*x5*x6^2+23083*x6^3+10558*x2*x4*x7+8746*x1*x5*x7+12349*x2*x5*x7+21113*x3*x5*x7+16541*x4*x5*x7+9630*x5^2*x7+3830*x1*x6*x7+3328*x2*x6*x7+31324*x3*x6*x7+12809*x4*x6*x7+23625*x5*x6*x7+1060*x6^2*x7+24717*x1*x7^2+1620*x2*x7^2+14712*x3*x7^2+28670*x4*x7^2+2065*x5*x7^2+11634*x6*x7^2+5359*x7^3+9193*x2*x4*x8+29502*x4^2*x8+10913*x1*x5*x8+201*x2*x5*x8+8819*x3*x5*x8+27791*x4*x5*x8+14618*x5^2*x8+29127*x1*x6*x8+6445*x2*x6*x8+16087*x3*x6*x8+23785*x4*x6*x8+4289*x5*x6*x8+21308*x6^2*x8+31599*x1*x7*x8+20994*x2*x7*x8+26089*x3*x7*x8+30544*x4*x7*x8+3387*x5*x7*x8+5996*x6*x7*x8+21811*x7^2*x8+1647*x1*x8^2+17072*x2*x8^2+22792*x3*x8^2+22055*x4*x8^2+13294*x5*x8^2+3367*x6*x8^2+12317*x7*x8^2+23621*x8^3+3561*x2*x4+10915*x4^2+13921*x1*x5+29080*x2*x5+14076*x3*x5+21640*x4*x5+1444*x5^2+25904*x1*x6+5119*x2*x6+10147*x3*x6+5673*x4*x6+20497*x5*x6+9444*x6^2+31698*x1*x7+17940*x2*x7+28059*x3*x7+6628*x4*x7+1688*x5*x7+23758*x6*x7+4711*x7^2+28697*x1*x8+22799*x2*x8+6674*x3*x8+20946*x4*x8+29355*x5*x8+15936*x6*x8+11232*x7*x8+22063*x8^2+18375*x1+7374*x2+15767*x3+8969*x4+14738*x5+25320*x6+11167*x7+15140*x8+17914
+1*x3*x5*x7*x8^3+16815*x2*x4*x8^4+20674*x4^2*x8^4+22535*x1*x5*x8^4+15687*x2*x5*x8^4+2962*x3*x5*x8^4+20067*x4*x5*x8^4+16300*x5^2*x8^4+10276*x1*x6*x8^4+23394*x2*x6*x8^4+15570*x3*x6*x8^4+13645*x4*x6*x8^4+27472*x5*x6*x8^4+12971*x6^2*x8^4+9907*x1*x7*x8^4+16595*x2*x7*x8^4+11322*x3*x7*x8^4+9987*x4*x7*x8^4+20818*x5*x7*x8^4+16232*x6*x7*x8^4+22740*x7^2*x8^4+3072*x1*x8^5+3183*x2*x8^5+1395*x3*x8^5+31592*x4*x8^5+24589*x5*x8^5+15492*x6*x8^5+4955*x7*x8^5+789*x8^6+29232*x3*x5*x6*x8^2+13747*x4*x5*x6*x8^2+16146*x5^2*x6*x8^2+4017*x1*x6^2*x8^2+16299*x2*x6^2*x8^2+23550*x3*x6^2*x8^2+11818*x4*x6^2*x8^2+9515*x5*x6^2*x8^2+26488*x6^3*x8^2+442*x2*x4*x7*x8^2+27591*x1*x5*x7*x8^2+28242*x2*x5*x7*x8^2+30822*x3*x5*x7*x8^2+19509*x4*x5*x7*x8^2+20003*x5^2*x7*x8^2+30207*x1*x6*x7*x8^2+18329*x2*x6*x7*x8^2+8039*x3*x6*x7*x8^2+965*x4*x6*x7*x8^2+1377*x5*x6*x7*x8^2+18423*x6^2*x7*x8^2+3451*x1*x7^2*x8^2+12463*x2*x7^2*x8^2+31630*x3*x7^2*x8^2+31027*x4*x7^2*x8^2+22345*x5*x7^2*x8^2+20807*x6*x7^2*x8^2+25746*x7^3*x8^2+5336*x2*x4*x8^3+9705*x4^2*x8^3+4014*x1*x5*x8^3+3765*x2*x5*x8^3+2950*x3*x5*x8^3+8994*x4*x5*x8^3+19856*x5^2*x8^3+18346*x1*x6*x8^3+23867*x2*x6*x8^3+10953*x3*x6*x8^3+23443*x4*x6*x8^3+13241*x5*x6*x8^3+2205*x6^2*x8^3+29509*x1*x7*x8^3+4494*x2*x7*x8^3+15289*x3*x7*x8^3+9836*x4*x7*x8^3+28856*x5*x7*x8^3+22894*x6*x7*x8^3+15850*x7^2*x8^3+9790*x1*x8^4+23916*x2*x8^4+24115*x3*x8^4+1980*x4*x8^4+20366*x5*x8^4+13579*x6*x8^4+4623*x7*x8^4+30079*x8^5+12993*x5^2*x7^2+3639*x1*x6*x7^2+30556*x2*x6*x7^2+3926*x3*x6*x7^2+16801*x4*x6*x7^2+11776*x5*x6*x7^2+27330*x6^2*x7^2+6847*x1*x7^3+26903*x2*x7^3+9413*x3*x7^3+30346*x4*x7^3+22636*x5*x7^3+667*x6*x7^3+9144*x7^4+28340*x3*x5*x6*x8+25368*x4*x5*x6*x8+10730*x5^2*x6*x8+6950*x1*x6^2*x8+10441*x2*x6^2*x8+22722*x3*x6^2*x8+3896*x4*x6^2*x8+12361*x5*x6^2*x8+20675*x6^3*x8+8568*x2*x4*x7*x8+22610*x1*x5*x7*x8+26840*x2*x5*x7*x8+25823*x3*x5*x7*x8+20067*x4*x5*x7*x8+26854*x5^2*x7*x8+12*x1*x6*x7*x8+16201*x2*x6*x7*x8+27239*x3*x6*x7*x8+16305*x4*x6*x7*x8+17042*x5*x6*x7*x8+14617*x6^2*x7*x8+13113*x1*x7^2*x8+7292*x2*x7^2*x8+6986*x3*x7^2*x8+4274*x4*x7^2*x8+26185*x5*x7^2*x8+25134*x6*x7^2*x8+7020*x7^3*x8+25178*x2*x4*x8^2+2376*x4^2*x8^2+30442*x1*x5*x8^2+10974*x2*x5*x8^2+3939*x3*x5*x8^2+981*x4*x5*x8^2+13700*x5^2*x8^2+23049*x1*x6*x8^2+24515*x2*x6*x8^2+9732*x3*x6*x8^2+18632*x4*x6*x8^2+18814*x5*x6*x8^2+27547*x6^2*x8^2+13957*x1*x7*x8^2+10144*x2*x7*x8^2+29848*x3*x7*x8^2+25843*x4*x7*x8^2+5959*x5*x7*x8^2+11953*x6*x7*x8^2+11224*x7^2*x8^2+5507*x1*x8^3+15319*x2*x8^3+19061*x3*x8^3+24974*x4*x8^3+11088*x5*x8^3+6383*x6*x8^3+6570*x7*x8^3+22417*x8^4+13932*x3*x5*x6+23436*x4*x5*x6+10189*x5^2*x6+26218*x1*x6^2+4295*x2*x6^2+21252*x3*x6^2+26865*x4*x6^2+28976*x5*x6^2+30023*x6^3+16321*x2*x4*x7+8574*x1*x5*x7+23422*x2*x5*x7+16726*x3*x5*x7+29372*x4*x5*x7+27129*x5^2*x7+13557*x1*x6*x7+29561*x2*x6*x7+29852*x3*x6*x7+31547*x4*x6*x7+7490*x5*x6*x7+24537*x6^2*x7+13513*x1*x7^2+31149*x2*x7^2+10250*x3*x7^2+6281*x4*x7^2+6214*x5*x7^2+22809*x6*x7^2+5952*x7^3+25702*x2*x4*x8+4148*x4^2*x8+9001*x1*x5*x8+846*x2*x5*x8+434*x3*x5*x8+13137*x4*x5*x8+5312*x5^2*x8+29007*x1*x6*x8+29067*x2*x6*x8+24353*x3*x6*x8+15831*x4*x6*x8+23989*x5*x6*x8+5679*x6^2*x8+5672*x1*x7*x8+3300*x2*x7*x8+12008*x3*x7*x8+23008*x4*x7*x8+26436*x5*x7*x8+10962*x6*x7*x8+7708*x7^2*x8+2637*x1*x8^2+24848*x2*x8^2+22976*x3*x8^2+27624*x4*x8^2+20911*x5*x8^2+26757*x6*x8^2+13829*x7*x8^2+7400*x8^3+28062*x2*x4+9624*x4^2+22692*x1*x5+27327*x2*x5+24417*x3*x5+3119*x4*x5+29040*x5^2+19626*x1*x6+4665*x2*x6+7206*x3*x6+6497*x4*x6+19701*x5*x6+30676*x6^2+29405*x1*x7+18562*x2*x7+30275*x3*x7+4040*x4*x7+7393*x5*x7+11925*x6*x7+21456*x7^2+7705*x1*x8+26482*x2*x8+24622*x3*x8+207*x4*x8+2822*x5*x8+21640*x6*x8+13937*x7*x8+31397*x8^2+24806*x1+1818*x2+15841*x3+7408*x4+18433*x5+27244*x6+19944*x7+27038*x8+31003
+1*x2*x5*x7*x8^3+30185*x2*x4*x8^4+12039*x4^2*x8^4+31422*x1*x5*x8^4+18665*x2*x5*x8^4+31598*x3*x5*x8^4+27818*x4*x5*x8^4+24889*x5^2*x8^4+8459*x1*x6*x8^4+4352*x2*x6*x8^4+26457*x3*x6*x8^4+7187*x4*x6*x8^4+26124*x5*x6*x8^4+11564*x6^2*x8^4+15333*x1*x7*x8^4+27378*x2*x7*x8^4+10025*x3*x7*x8^4+17367*x4*x7*x8^4+29600*x5*x7*x8^4+24943*x6*x7*x8^4+14241*x7^2*x8^4+8300*x1*x8^5+8870*x2*x8^5+13834*x3*x8^5+6822*x4*x8^5+12303*x5*x8^5+16724*x6*x8^5+19045*x7*x8^5+5325*x8^6+20314*x3*x5*x6*x8^2+18108*x4*x5*x6*x8^2+17951*x5^2*x6*x8^2+4788*x1*x6^2*x8^2+16028*x2*x6^2*x8^2+18860*x3*x6^2*x8^2+24999*x4*x6^2*x8^2+18788*x5*x6^2*x8^2+30501*x6^3*x8^2+24969*x2*x4*x7*x8^2+11403*x1*x5*x7*x8^2+6815*x2*x5*x7*x8^2+16400*x3*x5*x7*x8^2+1580*x4*x5*x7*x8^2+17776*x5^2*x7*x8^2+28279*x1*x6*x7*x8^2+1254*x2*x6*x7*x8^2+29080*x3*x6*x7*x8^2+23107*x4*x6*x7*x8^2+22484*x5*x6*x7*x8^2+6978*x6^2*x7*x8^2+10125*x1*x7^2*x8^2+14199*x2*x7^2*x8^2+13368*x3*x7^2*x8^2+13075*x4*x7^2*x8^2+19997*x5*x7^2*x8^2+22522*x6*x7^2*x8^2+13228*x7^3*x8^2+6788*x2*x4*x8^3+29289*x4^2*x8^3+28963*x1*x5*x8^3+14641*x2*x5*x8^3+1214*x3*x5*x8^3+18688*x4*x5*x8^3+19470*x5^2*x8^3+28590*x1*x6*x8^3+9773*x2*x6*x8^3+30091*x3*x6*x8^3+1016*x4*x6*x8^3+6372*x5*x6*x8^3+26960*x6^2*x8^3+10789*x1*x7*x8^3+27880*x2*x7*x8^3+3649*x3*x7*x8^3+29310*x4*x7*x8^3+5461*x5*x7*x8^3+9459*x6*x7*x8^3+5619*x7^2*x8^3+4807*x1*x8^4+5082*x2*x8^4+19694*x3*x8^4+16391*x4*x8^4+22768*x5*x8^4+18718*x6*x8^4+17678*x7*x8^4+31677*x8^5+15720*x5^2*x7^2+30807*x1*x6*x7^2+25477*x2*x6*x7^2+21190*x3*x6*x7^2+6276*x4*x6*x7^2+6027*x5*x6*x7^2+21539*x6^2*x7^2+31399*x1*x7^3+19771*x2*x7^3+24407*x3*x7^3+79*x4*x7^3+2758*x5*x7^3+25953*x6*x7^3+31839*x7^4+11516*x3*x5*x6*x8+5227*x4*x5*x6*x8+8893*x5^2*x6*x8+18936*x1*x6^2*x8+31623*x2*x6^2*x8+26788*x3*x6^2*x8+8297*x4*x6^2*x8+25575*x5*x6^2*x8+16649*x6^3*x8+31042*x2*x4*x7*x8+22474*x1*x5*x7*x8+26228*x2*x5*x7*x8+13685*x3*x5*x7*x8+18584*x4*x5*x7*x8+17209*x5^2*x7*x8+26432*x1*x6*x7*x8+16468*x2*x6*x7*x8+9388*x3*x6*x7*x8+2208*x4*x6*x7*x8+31574*x5*x6*x7*x8+18744*x6^2*x7*x8+25347*x1*x7^2*x8+14316*x2*x7^2*x8+9320*x3*x7^2*x8+1543*x4*x7^2*x8+18005*x5*x7^2*x8+19805*x6*x7^2*x8+27213*x7^3*x8+20084*x2*x4*x8^2+26768*x4^2*x8^2+24824*x1*x5*x8^2+24246*x2*x5*x8^2+16771*x3*x5*x8^2+26397*x4*x5*x8^2+20199*x5^2*x8^2+19379*x1*x6*x8^2+27376*x2*x6*x8^2+13650*x3*x6*x8^2+5852*x4*x6*x8^2+6628*x5*x6*x8^2+24804*x6^2*x8^2+5338*x1*x7*x8^2+24485*x2*x7*x8^2+10975*x3*x7*x8^2+11307*x4*x7*x8^2+31307*x5*x7*x8^2+30847*x6*x7*x8^2+22940*x7^2*x8^2+19100*x1*x8^3+22732*x2*x8^3+26077*x3*x8^3+17404*x4*x8^3+29814*x5*x8^3+4239*x6*x8^3+29202*x7*x8^3+2377*x8^4+17639*x3*x5*x6+7966*x4*x5*x6+13066*x5^2*x6+14344*x1*x6^2+1134*x2*x6^2+11516*x3*x6^2+9574*x4*x6^2+24834*x5*x6^2+9415*x6^3+24077*x2*x4*x7+23726*x1*x5*x7+30862*x2*x5*x7+12118*x3*x5*x7+21508*x4*x5*x7+13961*x5^2*x7+7445*x1*x6*x7+10386*x2*x6*x7+3777*x3*x6*x7+20710*x4*x6*x7+13917*x5*x6*x7+30583*x6^2*x7+13450*x1*x7^2+10027*x2*x7^2+18229*x3*x7^2+358*x4*x7^2+20393*x5*x7^2+28255*x6*x7^2+27722*x7^3+24692*x2*x4*x8+19066*x4^2*x8+16126*x1*x5*x8+17653*x2*x5*x8+15368*x3*x5*x8+22116*x4*x5*x8+8827*x5^2*x8+26425*x1*x6*x8+15981*x2*x6*x8+9536*x3*x6*x8+27849*x4*x6*x8+4291*x5*x6*x8+13477*x6^2*x8+25536*x1*x7*x8+23232*x2*x7*x8+955*x3*x7*x8+14369*x4*x7*x8+2038*x5*x7*x8+9243*x6*x7*x8+28201*x7^2*x8+6272*x1*x8^2+30911*x2*x8^2+9953*x3*x8^2+24029*x4*x8^2+24670*x5*x8^2+10780*x6*x8^2+27075*x7*x8^2+23835*x8^3+17152*x2*x4+5878*x4^2+11705*x1*x5+26872*x2*x5+24210*x3*x5+29778*x4*x5+28980*x5^2+27384*x1*x6+2564*x2*x6+12810*x3*x6+7155*x4*x6+29836*x5*x6+16599*x6^2+18835*x1*x7+23429*x2*x7+4844*x3*x7+8509*x4*x7+21301*x5*x7+8114*x6*x7+25552*x7^2+23329*x1*x8+19814*x2*x8+15155*x3*x8+16345*x4*x8+1020*x5*x8+1822*x6*x8+7289*x7*x8+24081*x8^2+23266*x1+22636*x2+20422*x3+18583*x4+8298*x5+11062*x6+21088*x7+26799*x8+22179
+1*x1*x5*x7*x8^3+13235*x2*x4*x8^4+571*x4^2*x8^4+24434*x1*x5*x8^4+8976*x2*x5*x8^4+14274*x3*x5*x8^4+20499*x4*x5*x8^4+10244*x5^2*x8^4+6392*x1*x6*x8^4+16332*x2*x6*x8^4+4225*x3*x6*x8^4+28177*x4*x6*x8^4+11947*x5*x6*x8^4+13390*x6^2*x8^4+18004*x1*x7*x8^4+14545*x2*x7*x8^4+23250*x3*x7*x8^4+7551*x4*x7*x8^4+28715*x5*x7*x8^4+1384*x6*x7*x8^4+19650*x7^2*x8^4+30736*x1*x8^5+24778*x2*x8^5+26433*x3*x8^5+10524*x4*x8^5+20550*x5*x8^5+2444*x6*x8^5+18994*x7*x8^5+21006*x8^6+15607*x3*x5*x6*x8^2+5026*x4*x5*x6*x8^2+22692*x5^2*x6*x8^2+26574*x1*x6^2*x8^2+5571*x2*x6^2*x8^2+13751*x3*x6^2*x8^2+11603*x4*x6^2*x8^2+22373*x5*x6^2*x8^2+966*x6^3*x8^2+9095*x2*x4*x7*x8^2+26335*x1*x5*x7*x8^2+27709*x2*x5*x7*x8^2+6788*x3*x5*x7*x8^2+14881*x4*x5*x7*x8^2+29687*x5^2*x7*x8^2+27885*x1*x6*x7*x8^2+13648*x2*x6*x7*x8^2+15038*x3*x6*x7*x8^2+19829*x4*x6*x7*x8^2+20270*x5*x6*x7*x8^2+131*x6^2*x7*x8^2+3031*x1*x7^2*x8^2+18191*x2*x7^2*x8^2+21367*x3*x7^2*x8^2+17907*x4*x7^2*x8^2+24649*x5*x7^2*x8^2+50*x6*x7^2*x8^2+628*x7^3*x8^2+17200*x2*x4*x8^3+18759*x4^2*x8^3+5481*x1*x5*x8^3+25334*x2*x5*x8^3+29549*x3*x5*x8^3+15140*x4*x5*x8^3+15478*x5^2*x8^3+30874*x1*x6*x8^3+26432*x2*x6*x8^3+23353*x3*x6*x8^3+15510*x4*x6*x8^3+30391*x5*x6*x8^3+5821*x6^2*x8^3+23429*x1*x7*x8^3+6789*x2*x7*x8^3+25368*x3*x7*x8^3+1764*x4*x7*x8^3+13752*x5*x7*x8^3+21438*x6*x7*x8^3+553*x7^2*x8^3+11637*x1*x8^4+16658*x2*x8^4+6754*x3*x8^4+14660*x4*x8^4+31644*x5*x8^4+23668*x6*x8^4+6054*x7*x8^4+9457*x8^5+13384*x5^2*x7^2+27253*x1*x6*x7^2+26379*x2*x6*x7^2+7403*x3*x6*x7^2+20449*x4*x6*x7^2+23860*x5*x6*x7^2+25552*x6^2*x7^2+28430*x1*x7^3+19205*x2*x7^3+7705*x3*x7^3+9176*x4*x7^3+5003*x5*x7^3+20618*x6*x7^3+15918*x7^4+5038*x3*x5*x6*x8+31788*x4*x5*x6*x8+21065*x5^2*x6*x8+3654*x1*x6^2*x8+10552*x2*x6^2*x8+12358*x3*x6^2*x8+19500*x4*x6^2*x8+7220*x5*x6^2*x8+24231*x6^3*x8+3031*x2*x4*x7*x8+18680*x1*x5*x7*x8+3858*x2*x5*x7*x8+20387*x3*x5*x7*x8+9521*x4*x5*x7*x8+7740*x5^2*x7*x8+15515*x1*x6*x7*x8+21782*x2*x6*x7*x8+8260*x3*x6*x7*x8+14789*x4*x6*x7*x8+28562*x5*x6*x7*x8+5966*x6^2*x7*x8+29058*x1*x7^2*x8+24128*x2*x7^2*x8+8549*x3*x7^2*x8+19738*x4*x7^2*x8+16906*x5*x7^2*x8+27875*x6*x7^2*x8+6311*x7^3*x8+12954*x2*x4*x8^2+17043*x4^2*x8^2+26381*x1*x5*x8^2+28450*x2*x5*x8^2+6821*x3*x5*x8^2+12033*x4*x5*x8^2+17024*x5^2*x8^2+12997*x1*x6*x8^2+17311*x2*x6*x8^2+23993*x3*x6*x8^2+21613*x4*x6*x8^2+21283*x5*x6*x8^2+3602*x6^2*x8^2+10961*x1*x7*x8^2+5600*x2*x7*x8^2+2297*x3*x7*x8^2+27345*x4*x7*x8^2+21481*x5*x7*x8^2+15773*x6*x7*x8^2+30805*x7^2*x8^2+19746*x1*x8^3+29492*x2*x8^3+22363*x3*x8^3+9623*x4*x8^3+30042*x5*x8^3+2098*x6*x8^3+20324*x7*x8^3+11266*x8^4+9585*x3*x5*x6+2958*x4*x5*x6+20476*x5^2*x6+10414*x1*x6^2+19021*x2*x6^2+30964*x3*x6^2+7740*x4*x6^2+29961*x5*x6^2+24405*x6^3+29697*x2*x4*x7+16077*x1*x5*x7+9546*x2*x5*x7+4623*x3*x5*x7+30513*x4*x5*x7+14430*x5^2*x7+14207*x1*x6*x7+27347*x2*x6*x7+9830*x3*x6*x7+1128*x4*x6*x7+13248*x5*x6*x7+25975*x6^2*x7+1572*x1*x7^2+6729*x2*x7^2+31672*x3*x7^2+3537*x4*x7^2+9660*x5*x7^2+6212*x6*x7^2+3910*x7^3+14507*x2*x4*x8+20792*x4^2*x8+12629*x1*x5*x8+8246*x2*x5*x8+30948*x3*x5*x8+17170*x4*x5*x8+23844*x5^2*x8+26690*x1*x6*x8+1160*x2*x6*x8+21176*x3*x6*x8+12206*x4*x6*x8+26088*x5*x6*x8+11061*x6^2*x8+15851*x1*x7*x8+23090*x2*x7*x8+20926*x3*x7*x8+3593*x4*x7*x8+22931*x5*x7*x8+5468*x6*x7*x8+23203*x7^2*x8+25032*x1*x8^2+7228*x2*x8^2+21692*x3*x8^2+27112*x4*x8^2+18854*x5*x8^2+12767*x6*x8^2+18222*x7*x8^2+18439*x8^3+12730*x2*x4+27214*x4^2+16346*x1*x5+15518*x2*x5+13132*x3*x5+10008*x4*x5+21928*x5^2+9614*x1*x6+687*x2*x6+10908*x3*x6+19291*x4*x6+11628*x5*x6+12814*x6^2+21500*x1*x7+10268*x2*x7+17713*x3*x7+14835*x4*x7+18187*x5*x7+3430*x6*x7+11930*x7^2+20242*x1*x8+5240*x2*x8+9168*x3*x8+19528*x4*x8+10784*x5*x8+1403*x6*x8+9902*x7*x8+8899*x8^2+656*x1+21061*x2+17304*x3+23685*x4+4160*x5+12566*x6+5878*x7+27758*x8+23942
+1*x2*x4*x7*x8^3+1375*x2*x4*x8^4+22665*x4^2*x8^4+1741*x1*x5*x8^4+6237*x2*x5*x8^4+404*x3*x5*x8^4+5539*x4*x5*x8^4+5353*x5^2*x8^4+12746*x1*x6*x8^4+3682*x2*x6*x8^4+31848*x3*x6*x8^4+30880*x4*x6*x8^4+1894*x5*x6*x8^4+10048*x6^2*x8^4+26683*x1*x7*x8^4+30785*x2*x7*x8^4+27563*x3*x7*x8^4+13076*x4*x7*x8^4+4903*x5*x7*x8^4+26739*x6*x7*x8^4+16697*x7^2*x8^4+18552*x1*x8^5+14532*x2*x8^5+5844*x3*x8^5+27987*x4*x8^5+22628*x5*x8^5+15279*x6*x8^5+9514*x7*x8^5+9295*x8^6+5364*x3*x5*x6*x8^2+9856*x4*x5*x6*x8^2+11910*x5^2*x6*x8^2+12178*x1*x6^2*x8^2+1612*x2*x6^2*x8^2+27839*x3*x6^2*x8^2+16683*x4*x6^2*x8^2+8491*x5*x6^2*x8^2+27385*x6^3*x8^2+4932*x2*x4*x7*x8^2+14892*x1*x5*x7*x8^2+19581*x2*x5*x7*x8^2+1019*x3*x5*x7*x8^2+9735*x4*x5*x7*x8^2+30968*x5^2*x7*x8^2+28106*x1*x6*x7*x8^2+10693*x2*x6*x7*x8^2+28881*x3*x6*x7*x8^2+28406*x4*x6*x7*x8^2+27596*x5*x6*x7*x8^2+3656*x6^2*x7*x8^2+15009*x1*x7^2*x8^2+6315*x2*x7^2*x8^2+18153*x3*x7^2*x8^2+23343*x4*x7^2*x8^2+3195*x5*x7^2*x8^2+13929*x6*x7^2*x8^2+27012*x7^3*x8^2+7379*x2*x4*x8^3+31529*x4^2*x8^3+4950*x1*x5*x8^3+6537*x2*x5*x8^3+4892*x3*x5*x8^3+29242*x4*x5*x8^3+25142*x5^2*x8^3+27687*x1*x6*x8^3+12104*x2*x6*x8^3+10329*x3*x6*x8^3+16115*x4*x6*x8^3+4912*x5*x6*x8^3+30324*x6^2*x8^3+27625*x1*x7*x8^3+19117*x2*x7*x8^3+25743*x3*x7*x8^3+18011*x4*x7*x8^3+11009*x5*x7*x8^3+6845*x6*x7*x8^3+6641*x7^2*x8^3+8879*x1*x8^4+3143*x2*x8^4+16214*x3*x8^4+7118*x4*x8^4+24599*x5*x8^4+10472*x6*x8^4+18786*x7*x8^4+17017*x8^5+12190*x5^2*x7^2+2035*x1*x6*x7^2+8488*x2*x6*x7^2+5496*x3*x6*x7^2+17060*x4*x6*x7^2+9829*x5*x6*x7^2+10972*x6^2*x7^2+21015*x1*x7^3+18647*x2*x7^3+28179*x3*x7^3+29092*x4*x7^3+8145*x5*x7^3+26246*x6*x7^3+27996*x7^4+18185*x3*x5*x6*x8+23323*x4*x5*x6*x8+9526*x5^2*x6*x8+11916*x1*x6^2*x8+3832*x2*x6^2*x8+18053*x3*x6^2*x8+21643*x4*x6^2*x8+25861*x5*x6^2*x8+9339*x6^3*x8+6092*x2*x4*x7*x8+24997*x1*x5*x7*x8+4565*x2*x5*x7*x8+8191*x3*x5*x7*x8+17271*x4*x5*x7*x8+22367*x5^2*x7*x8+12349*x1*x6*x7*x8+11183*x2*x6*x7*x8+6862*x3*x6*x7*x8+28772*x4*x6*x7*x8+7369*x5*x6*x7*x8+15833*x6^2*x7*x8+9120*x1*x7^2*x8+13175*x2*x7^2*x8+27717*x3*x7^2*x8+12388*x4*x7^2*x8+1782*x5*x7^2*x8+26335*x6*x7^2*x8+31134*x7^3*x8+27487*x2*x4*x8^2+22873*x4^2*x8^2+21389*x1*x5*x8^2+5652*x2*x5*x8^2+5257*x3*x5*x8^2+3883*x4*x5*x8^2+9521*x5^2*x8^2+23977*x1*x6*x8^2+28854*x2*x6*x8^2+16060*x3*x6*x8^2+23337*x4*x6*x8^2+6350*x5*x6*x8^2+18885*x6^2*x8^2+13414*x1*x7*x8^2+20946*x2*x7*x8^2+26583*x3*x7*x8^2+24077*x4*x7*x8^2+26525*x5*x7*x8^2+28192*x6*x7*x8^2+21687*x7^2*x8^2+26118*x1*x8^3+19567*x2*x8^3+15005*x3*x8^3+13759*x4*x8^3+18768*x5*x8^3+8418*x6*x8^3+6919*x7*x8^3+28354*x8^4+6272*x3*x5*x6+7248*x4*x5*x6+12012*x5^2*x6+8783*x1*x6^2+27553*x2*x6^2+27045*x3*x6^2+28488*x4*x6^2+27421*x5*x6^2+10523*x6^3+18410*x2*x4*x7+23709*x1*x5*x7+10062*x2*x5*x7+30939*x3*x5*x7+21638*x4*x5*x7+626*x5^2*x7+25098*x1*x6*x7+13170*x2*x6*x7+17391*x3*x6*x7+7299*x4*x6*x7+4553*x5*x6*x7+11775*x6^2*x7+29956*x1*x7^2+25095*x2*x7^2+28486*x3*x7^2+13196*x4*x7^2+18163*x5*x7^2+24456*x6*x7^2+5444*x7^3+18133*x2*x4*x8+12921*x4^2*x8+19884*x1*x5*x8+2759*x2*x5*x8+22592*x3*x5*x8+18635*x4*x5*x8+13279*x5^2*x8+13299*x1*x6*x8+1636*x2*x6*x8+21776*x3*x6*x8+21157*x4*x6*x8+19467*x5*x6*x8+6906*x6^2*x8+22895*x1*x7*x8+10515*x2*x7*x8+29619*x3*x7*x8+25382*x4*x7*x8+20405*x5*x7*x8+14962*x6*x7*x8+30403*x7^2*x8+22594*x1*x8^2+31593*x2*x8^2+1048*x3*x8^2+21435*x4*x8^2+15639*x5*x8^2+23471*x6*x8^2+9295*x7*x8^2+18656*x8^3+5197*x2*x4+1892*x4^2+11011*x1*x5+20434*x2*x5+10297*x3*x5+21720*x4*x5+3261*x5^2+23558*x1*x6+659*x2*x6+18207*x3*x6+22485*x4*x6+16901*x5*x6+9635*x6^2+2742*x1*x7+18649*x2*x7+7944*x3*x7+5148*x4*x7+10887*x5*x7+4451*x6*x7+28195*x7^2+28330*x1*x8+28331*x2*x8+14949*x3*x8+5535*x4*x8+31701*x5*x8+219*x6*x8+3061*x7*x8+8071*x8^2+5131*x1+22754*x2+11460*x3+21190*x4+10952*x5+6742*x6+7410*x7+10306*x8+13079
+1*x6^3*x8^3+27394*x2*x4*x8^4+14532*x4^2*x8^4+29956*x1*x5*x8^4+23454*x2*x5*x8^4+375*x3*x5*x8^4+17026*x4*x5*x8^4+20327*x5^2*x8^4+16357*x1*x6*x8^4+27619*x2*x6*x8^4+3816*x3*x6*x8^4+27947*x4*x6*x8^4+23844*x5*x6*x8^4+4222*x6^2*x8^4+6249*x1*x7*x8^4+4926*x2*x7*x8^4+27845*x3*x7*x8^4+18467*x4*x7*x8^4+1849*x5*x7*x8^4+1134*x6*x7*x8^4+16131*x7^2*x8^4+10483*x1*x8^5+6772*x2*x8^5+17868*x3*x8^5+4495*x4*x8^5+19389*x5*x8^5+16926*x6*x8^5+23177*x7*x8^5+13775*x8^6+14432*x3*x5*x6*x8^2+13665*x4*x5*x6*x8^2+21921*x5^2*x6*x8^2+12404*x1*x6^2*x8^2+15556*x2*x6^2*x8^2+24716*x3*x6^2*x8^2+26909*x4*x6^2*x8^2+6262*x5*x6^2*x8^2+19068*x6^3*x8^2+2138*x2*x4*x7*x8^2+23548*x1*x5*x7*x8^2+4375*x2*x5*x7*x8^2+19936*x3*x5*x7*x8^2+22450*x4*x5*x7*x8^2+20733*x5^2*x7*x8^2+5983*x1*x6*x7*x8^2+18827*x2*x6*x7*x8^2+7498*x3*x6*x7*x8^2+8112*x4*x6*x7*x8^2+25169*x5*x6*x7*x8^2+12664*x6^2*x7*x8^2+25039*x1*x7^2*x8^2+8936*x2*x7^2*x8^2+22147*x3*x7^2*x8^2+1407*x4*x7^2*x8^2+23613*x5*x7^2*x8^2+16138*x6*x7^2*x8^2+19834*x7^3*x8^2+148*x2*x4*x8^3+1975*x4^2*x8^3+12323*x1*x5*x8^3+29047*x2*x5*x8^3+26410*x3*x5*x8^3+14491*x4*x5*x8^3+8747*x5^2*x8^3+24103*x1*x6*x8^3+14433*x2*x6*x8^3+27364*x3*x6*x8^3+24911*x4*x6*x8^3+26314*x5*x6*x8^3+23121*x6^2*x8^3+23334*x1*x7*x8^3+22127*x2*x7*x8^3+12793*x3*x7*x8^3+14852*x4*x7*x8^3+1459*x5*x7*x8^3+31995*x6*x7*x8^3+15767*x7^2*x8^3+9710*x1*x8^4+24228*x2*x8^4+22523*x3*x8^4+5249*x4*x8^4+494*x5*x8^4+283*x6*x8^4+18180*x7*x8^4+30010*x8^5+10922*x5^2*x7^2+25003*x1*x6*x7^2+4214*x2*x6*x7^2+19891*x3*x6*x7^2+4849*x4*x6*x7^2+21546*x5*x6*x7^2+16090*x6^2*x7^2+15591*x1*x7^3+18390*x2*x7^3+17293*x3*x7^3+14447*x4*x7^3+23061*x5*x7^3+28357*x6*x7^3+3638*x7^4+27126*x3*x5*x6*x8+11030*x4*x5*x6*x8+5594*x5^2*x6*x8+7469*x1*x6^2*x8+29731*x2*x6^2*x8+17168*x3*x6^2*x8+19306*x4*x6^2*x8+28*x5*x6^2*x8+13114*x6^3*x8+21699*x2*x4*x7*x8+21790*x1*x5*x7*x8+1019*x2*x5*x7*x8+20659*x3*x5*x7*x8+1668*x4*x5*x7*x8+10731*x5^2*x7*x8+23034*x1*x6*x7*x8+30053*x2*x6*x7*x8+77*x3*x6*x7*x8+20469*x4*x6*x7*x8+6355*x5*x6*x7*x8+4296*x6^2*x7*x8+24360*x1*x7^2*x8+26892*x2*x7^2*x8+1100*x3*x7^2*x8+11443*x4*x7^2*x8+10780*x5*x7^2*x8+625*x6*x7^2*x8+18083*x7^3*x8+3154*x2*x4*x8^2+29856*x4^2*x8^2+29830*x1*x5*x8^2+16012*x2*x5*x8^2+2173*x3*x5*x8^2+1450*x4*x5*x8^2+4662*x5^2*x8^2+10030*x1*x6*x8^2+26609*x2*x6*x8^2+9752*x3*x6*x8^2+5400*x4*x6*x8^2+1363*x5*x6*x8^2+9414*x6^2*x8^2+24538*x1*x7*x8^2+6930*x2*x7*x8^2+17012*x3*x7*x8^2+19631*x4*x7*x8^2+29670*x5*x7*x8^2+10610*x6*x7*x8^2+30246*x7^2*x8^2+17914*x1*x8^3+13142*x2*x8^3+428*x3*x8^3+11324*x4*x8^3+2886*x5*x8^3+27378*x6*x8^3+6607*x7*x8^3+8054*x8^4+19448*x3*x5*x6+16238*x4*x5*x6+20243*x5^2*x6+7770*x1*x6^2+16827*x2*x6^2+4753*x3*x6^2+17991*x4*x6^2+11428*x5*x6^2+21799*x6^3+17241*x2*x4*x7+10507*x1*x5*x7+27454*x2*x5*x7+18676*x3*x5*x7+8631*x4*x5*x7+8008*x5^2*x7+30846*x1*x6*x7+11699*x2*x6*x7+30383*x3*x6*x7+15213*x4*x6*x7+4988*x5*x6*x7+4354*x6^2*x7+25156*x1*x7^2+8993*x2*x7^2+26826*x3*x7^2+25024*x4*x7^2+22957*x5*x7^2+13402*x6*x7^2+22945*x7^3+4807*x2*x4*x8+4318*x4^2*x8+8962*x1*x5*x8+23816*x2*x5*x8+2681*x3*x5*x8+23376*x4*x5*x8+23724*x5^2*x8+4916*x1*x6*x8+26859*x2*x6*x8+9614*x3*x6*x8+12633*x4*x6*x8+14699*x5*x6*x8+17752*x6^2*x8+3324*x1*x7*x8+20261*x2*x7*x8+13898*x3*x7*x8+27135*x4*x7*x8+22400*x5*x7*x8+12892*x6*x7*x8+23968*x7^2*x8+3315*x1*x8^2+5372*x2*x8^2+29348*x3*x8^2+9149*x4*x8^2+9742*x5*x8^2+1551*x6*x8^2+3253*x7*x8^2+16134*x8^3+18329*x2*x4+9507*x4^2+1202*x1*x5+27529*x2*x5+6134*x3*x5+18361*x4*x5+7975*x5^2+21412*x1*x6+21526*x2*x6+24065*x3*x6+31236*x4*x6+21399*x5*x6+7186*x6^2+28074*x1*x7+28243*x2*x7+5741*x3*x7+20908*x4*x7+5600*x5*x7+5320*x6*x7+11947*x7^2+5658*x1*x8+21408*x2*x8+26927*x3*x8+3994*x4*x8+10261*x5*x8+18729*x6*x8+2657*x7*x8+8961*x8^2+5585*x1+3586*x2+26329*x3+27299*x4+13531*x5+20364*x6+12249*x7+4667*x8+2501
+1*x5*x6^2*x8^3+1155*x2*x4*x8^4+28212*x4^2*x8^4+11398*x1*x5*x8^4+6634*x2*x5*x8^4+28709*x3*x5*x8^4+20023*x4*x5*x8^4+13377*x5^2*x8^4+21426*x1*x6*x8^4+13100*x2*x6*x8^4+18159*x3*x6*x8^4+19287*x4*x6*x8^4+15564*x5*x6*x8^4+1730*x6^2*x8^4+8038*x1*x7*x8^4+31836*x2*x7*x8^4+1539*x3*x7*x8^4+22720*x4*x7*x8^4+714*x5*x7*x8^4+27476*x6*x7*x8^4+5062*x7^2*x8^4+10941*x1*x8^5+7873*x2*x8^5+27615*x3*x8^5+19070*x4*x8^5+28045*x5*x8^5+7010*x6*x8^5+11587*x7*x8^5+29277*x8^6+10915*x3*x5*x6*x8^2+26214*x4*x5*x6*x8^2+17666*x5^2*x6*x8^2+21965*x1*x6^2*x8^2+21868*x2*x6^2*x8^2+21877*x3*x6^2*x8^2+27720*x4*x6^2*x8^2+8996*x5*x6^2*x8^2+20350*x6^3*x8^2+29505*x2*x4*x7*x8^2+22879*x1*x5*x7*x8^2+11741*x2*x5*x7*x8^2+1334*x3*x5*x7*x8^2+29207*x4*x5*x7*x8^2+13625*x5^2*x7*x8^2+7831*x1*x6*x7*x8^2+31079*x2*x6*x7*x8^2+17594*x3*x6*x7*x8^2+29240*x4*x6*x7*x8^2+25143*x5*x6*x7*x8^2+25252*x6^2*x7*x8^2+15586*x1*x7^2*x8^2+22529*x2*x7^2*x8^2+19404*x3*x7^2*x8^2+13534*x4*x7^2*x8^2+16518*x5*x7^2*x8^2+6617*x6*x7^2*x8^2+4228*x7^3*x8^2+23407*x2*x4*x8^3+13166*x4^2*x8^3+3947*x1*x5*x8^3+3335*x2*x5*x8^3+25779*x3*x5*x8^3+9648*x4*x5*x8^3+12090*x5^2*x8^3+30666*x1*x6*x8^3+3193*x2*x6*x8^3+11715*x3*x6*x8^3+2926*x4*x6*x8^3+8619*x5*x6*x8^3+18554*x6^2*x8^3+18253*x1*x7*x8^3+12446*x2*x7*x8^3+13053*x3*x7*x8^3+19711*x4*x7*x8^3+10379*x5*x7*x8^3+21950*x6*x7*x8^3+28773*x7^2*x8^3+29525*x1*x8^4+28319*x2*x8^4+3916*x3*x8^4+85*x4*x8^4+27716*x5*x8^4+30232*x6*x8^4+31307*x7*x8^4+24936*x8^5+4371*x5^2*x7^2+8562*x1*x6*x7^2+14590*x2*x6*x7^2+9115*x3*x6*x7^2+2491*x4*x6*x7^2+6007*x5*x6*x7^2+25553*x6^2*x7^2+25388*x1*x7^3+19972*x2*x7^3+9318*x3*x7^3+29941*x4*x7^3+3153*x5*x7^3+605*x6*x7^3+29864*x7^4+504*x3*x5*x6*x8+22882*x4*x5*x6*x8+15142*x5^2*x6*x8+18169*x1*x6^2*x8+14359*x2*x6^2*x8+21262*x3*x6^2*x8+19083*x4*x6^2*x8+5536*x5*x6^2*x8+9066*x6^3*x8+14172*x2*x4*x7*x8+28983*x1*x5*x7*x8+9142*x2*x5*x7*x8+10495*x3*x5*x7*x8+15096*x4*x5*x7*x8+4978*x5^2*x7*x8+6050*x1*x6*x7*x8+11548*x2*x6*x7*x8+7298*x3*x6*x7*x8+23701*x4*x6*x7*x8+27547*x5*x6*x7*x8+28842*x6^2*x7*x8+5434*x1*x7^2*x8+7362*x2*x7^2*x8+30353*x3*x7^2*x8+10123*x4*x7^2*x8+5810*x5*x7^2*x8+19789*x6*x7^2*x8+25309*x7^3*x8+4870*x2*x4*x8^2+24394*x4^2*x8^2+5791*x1*x5*x8^2+11572*x2*x5*x8^2+9473*x3*x5*x8^2+14958*x4*x5*x8^2+25506*x5^2*x8^2+14854*x1*x6*x8^2+28570*x2*x6*x8^2+8234*x3*x6*x8^2+19118*x4*x6*x8^2+6045*x5*x6*x8^2+16215*x6^2*x8^2+19045*x1*x7*x8^2+30155*x2*x7*x8^2+11597*x3*x7*x8^2+3513*x4*x7*x8^2+30934*x5*x7*x8^2+31981*x6*x7*x8^2+23061*x7^2*x8^2+23001*x1*x8^3+22178*x2*x8^3+3082*x3*x8^3+22082*x4*x8^3+1926*x5*x8^3+14221*x6*x8^3+12075*x7*x8^3+17459*x8^4+12639*x3*x5*x6+21082*x4*x5*x6+28559*x5^2*x6+5917*x1*x6^2+28388*x2*x6^2+20866*x3*x6^2+9829*x4*x6^2+20513*x5*x6^2+24850*x6^3+20129*x2*x4*x7+31694*x1*x5*x7+7993*x2*x5*x7+536*x3*x5*x7+31245*x4*x5*x7+3097*x5^2*x7+6218*x1*x6*x7+30046*x2*x6*x7+11650*x3*x6*x7+10857*x4*x6*x7+5680*x5*x6*x7+28745*x6^2*x7+6697*x1*x7^2+9990*x2*x7^2+31738*x3*x7^2+16200*x4*x7^2+28887*x5*x7^2+13465*x6*x7^2+8286*x7^3+12263*x2*x4*x8+1427*x4^2*x8+2020*x1*x5*x8+18642*x2*x5*x8+755*x3*x5*x8+6779*x4*x5*x8+19837*x5^2*x8+5742*x1*x6*x8+30725*x2*x6*x8+3257*x3*x6*x8+20552*x4*x6*x8+26592*x5*x6*x8+23587*x6^2*x8+29383*x1*x7*x8+19791*x2*x7*x8+11323*x3*x7*x8+24440*x4*x7*x8+8025*x5*x7*x8+29821*x6*x7*x8+7577*x7^2*x8+2256*x1*x8^2+29870*x2*x8^2+21022*x3*x8^2+8587*x4*x8^2+30681*x5*x8^2+4642*x6*x8^2+17623*x7*x8^2+29403*x8^3+25403*x2*x4+23346*x4^2+4573*x1*x5+17338*x2*x5+8964*x3*x5+10141*x4*x5+20606*x5^2+10227*x1*x6+6974*x2*x6+13103*x3*x6+17936*x4*x6+23500*x5*x6+29739*x6^2+5821*x1*x7+1134*x2*x7+12866*x3*x7+20730*x4*x7+15303*x5*x7+27863*x6*x7+20742*x7^2+17188*x1*x8+6425*x2*x8+26576*x3*x8+13413*x4*x8+142*x5*x8+29520*x6*x8+22936*x7*x8+14895*x8^2+8937*x1+10915*x2+1571*x3+25024*x4+20897*x5+27919*x6+659*x7+30345*x8+11581
+1*x4*x6^2*x8^3+19540*x2*x4*x8^4+6503*x4^2*x8^4+27633*x1*x5*x8^4+22340*x2*x5*x8^4+11034*x3*x5*x8^4+24075*x4*x5*x8^4+10677*x5^2*x8^4+27640*x1*x6*x8^4+23337*x2*x6*x8^4+14954*x3*x6*x8^4+24076*x4*x6*x8^4+11325*x5*x6*x8^4+31342*x6^2*x8^4+19571*x1*x7*x8^4+19587*x2*x7*x8^4+18981*x3*x7*x8^4+6535*x4*x7*x8^4+10929*x5*x7*x8^4+12342*x6*x7*x8^4+23681*x7^2*x8^4+25740*x1*x8^5+15573*x2*x8^5+530*x3*x8^5+26193*x4*x8^5+19537*x5*x8^5+29755*x6*x8^5+11710*x7*x8^5+30105*x8^6+11892*x3*x5*x6*x8^2+10570*x4*x5*x6*x8^2+15974*x5^2*x6*x8^2+20078*x1*x6^2*x8^2+25500*x2*x6^2*x8^2+20375*x3*x6^2*x8^2+10607*x4*x6^2*x8^2+16876*x5*x6^2*x8^2+3175*x6^3*x8^2+9627*x2*x4*x7*x8^2+13646*x1*x5*x7*x8^2+20127*x2*x5*x7*x8^2+21148*x3*x5*x7*x8^2+25034*x4*x5*x7*x8^2+24725*x5^2*x7*x8^2+15044*x1*x6*x7*x8^2+11912*x2*x6*x7*x8^2+22430*x3*x6*x7*x8^2+19043*x4*x6*x7*x8^2+17226*x5*x6*x7*x8^2+294*x6^2*x7*x8^2+21322*x1*x7^2*x8^2+18412*x2*x7^2*x8^2+21524*x3*x7^2*x8^2+18286*x4*x7^2*x8^2+7764*x5*x7^2*x8^2+17419*x6*x7^2*x8^2+5745*x7^3*x8^2+24729*x2*x4*x8^3+26702*x4^2*x8^3+17936*x1*x5*x8^3+30617*x2*x5*x8^3+31824*x3*x5*x8^3+18837*x4*x5*x8^3+24640*x5^2*x8^3+13276*x1*x6*x8^3+10019*x2*x6*x8^3+3953*x3*x6*x8^3+15192*x4*x6*x8^3+9865*x5*x6*x8^3+27769*x6^2*x8^3+23372*x1*x7*x8^3+26074*x2*x7*x8^3+376*x3*x7*x8^3+29635*x4*x7*x8^3+568*x5*x7*x8^3+25655*x6*x7*x8^3+12159*x7^2*x8^3+20916*x1*x8^4+1103*x2*x8^4+21530*x3*x8^4+25517*x4*x8^4+11644*x5*x8^4+3724*x6*x8^4+23092*x7*x8^4+20308*x8^5+23259*x5^2*x7^2+23032*x1*x6*x7^2+11390*x2*x6*x7^2+22454*x3*x6*x7^2+19379*x4*x6*x7^2+19540*x5*x6*x7^2+18652*x6^2*x7^2+10057*x1*x7^3+20381*x2*x7^3+30357*x3*x7^3+24697*x4*x7^3+7270*x5*x7^3+3088*x6*x7^3+22742*x7^4+6282*x3*x5*x6*x8+21226*x4*x5*x6*x8+20215*x5^2*x6*x8+2003*x1*x6^2*x8+31272*x2*x6^2*x8+7781*x3*x6^2*x8+11902*x4*x6^2*x8+14944*x5*x6^2*x8+6074*x6^3*x8+30738*x2*x4*x7*x8+24544*x1*x5*x7*x8+11284*x2*x5*x7*x8+546*x3*x5*x7*x8+28129*x4*x5*x7*x8+26736*x5^2*x7*x8+19249*x1*x6*x7*x8+30650*x2*x6*x7*x8+21318*x3*x6*x7*x8+2057*x4*x6*x7*x8+2601*x5*x6*x7*x8+23817*x6^2*x7*x8+1459*x1*x7^2*x8+1514*x2*x7^2*x8+20207*x3*x7^2*x8+8229*x4*x7^2*x8+26805*x5*x7^2*x8+10773*x6*x7^2*x8+29093*x7^3*x8+455*x2*x4*x8^2+19742*x4^2*x8^2+10610*x1*x5*x8^2+14457*x2*x5*x8^2+85*x3*x5*x8^2+16551*x4*x5*x8^2+2224*x5^2*x8^2+23480*x1*x6*x8^2+19220*x2*x6*x8^2+363*x3*x6*x8^2+2579*x4*x6*x8^2+815*x5*x6*x8^2+24924*x6^2*x8^2+17649*x1*x7*x8^2+28722*x2*x7*x8^2+4637*x3*x7*x8^2+11125*x4*x7*x8^2+10685*x5*x7*x8^2+27684*x6*x7*x8^2+29659*x7^2*x8^2+4037*x1*x8^3+13347*x2*x8^3+2027*x3*x8^3+324*x4*x8^3+14347*x5*x8^3+2162*x6*x8^3+3655*x7*x8^3+15865*x8^4+2588*x3*x5*x6+30538*x4*x5*x6+20203*x5^2*x6+19180*x1*x6^2+19911*x2*x6^2+5280*x3*x6^2+14368*x4*x6^2+21397*x5*x6^2+19154*x6^3+29330*x2*x4*x7+12213*x1*x5*x7+22335*x2*x5*x7+720*x3*x5*x7+21080*x4*x5*x7+2679*x5^2*x7+19928*x1*x6*x7+31024*x2*x6*x7+10360*x3*x6*x7+10283*x4*x6*x7+20254*x5*x6*x7+25842*x6^2*x7+31457*x1*x7^2+1990*x2*x7^2+15054*x3*x7^2+2497*x4*x7^2+15403*x5*x7^2+3515*x6*x7^2+10025*x7^3+23343*x2*x4*x8+5804*x4^2*x8+9354*x1*x5*x8+24463*x2*x5*x8+28517*x3*x5*x8+11343*x4*x5*x8+16749*x5^2*x8+20115*x1*x6*x8+17189*x2*x6*x8+7987*x3*x6*x8+4186*x4*x6*x8+25517*x5*x6*x8+21342*x6^2*x8+11506*x1*x7*x8+16909*x2*x7*x8+9597*x3*x7*x8+23309*x4*x7*x8+13512*x5*x7*x8+26730*x6*x7*x8+31197*x7^2*x8+10375*x1*x8^2+13298*x2*x8^2+18170*x3*x8^2+4365*x4*x8^2+11010*x5*x8^2+24355*x6*x8^2+30644*x7*x8^2+2591*x8^3+31612*x2*x4+29077*x4^2+29364*x1*x5+2858*x2*x5+27666*x3*x5+23972*x4*x5+19285*x5^2+7082*x1*x6+20836*x2*x6+31236*x3*x6+16989*x4*x6+29716*x5*x6+30290*x6^2+26275*x1*x7+2822*x2*x7+5158*x3*x7+15171*x4*x7+11157*x5*x7+19679*x6*x7+3947*x7^2+16441*x1*x8+30457*x2*x8+14325*x3*x8+4775*x4*x8+21477*x5*x8+23793*x6*x8+9626*x7*x8+14143*x8^2+18930*x1+23710*x2+31828*x3+25569*x4+20659*x5+14625*x6+4360*x7+1224*x8+31126
+1*x3*x6^2*x8^3+18575*x2*x4*x8^4+3939*x4^2*x8^4+12975*x1*x5*x8^4+21870*x2*x5*x8^4+10832*x3*x5*x8^4+10892*x4*x5*x8^4+28356*x5^2*x8^4+25552*x1*x6*x8^4+29455*x2*x6*x8^4+7497*x3*x6*x8^4+27343*x4*x6*x8^4+29801*x5*x6*x8^4+7670*x6^2*x8^4+31083*x1*x7*x8^4+16732*x2*x7*x8^4+6663*x3*x7*x8^4+803*x4*x7*x8^4+25168*x5*x7*x8^4+20768*x6*x7*x8^4+1103*x7^2*x8^4+11400*x1*x8^5+22636*x2*x8^5+25972*x3*x8^5+12371*x4*x8^5+10917*x5*x8^5+29163*x6*x8^5+14728*x7*x8^5+27652*x8^6+5938*x3*x5*x6*x8^2+569*x4*x5*x6*x8^2+26921*x5^2*x6*x8^2+1445*x1*x6^2*x8^2+3415*x2*x6^2*x8^2+8019*x3*x6^2*x8^2+28085*x4*x6^2*x8^2+28764*x5*x6^2*x8^2+29931*x6^3*x8^2+8698*x2*x4*x7*x8^2+7117*x1*x5*x7*x8^2+3546*x2*x5*x7*x8^2+26701*x3*x5*x7*x8^2+10916*x4*x5*x7*x8^2+31061*x5^2*x7*x8^2+25241*x1*x6*x7*x8^2+26513*x2*x6*x7*x8^2+3074*x3*x6*x7*x8^2+14886*x4*x6*x7*x8^2+16182*x5*x6*x7*x8^2+30546*x6^2*x7*x8^2+17217*x1*x7^2*x8^2+29137*x2*x7^2*x8^2+27496*x3*x7^2*x8^2+10536*x4*x7^2*x8^2+6487*x5*x7^2*x8^2+29841*x6*x7^2*x8^2+15511*x7^3*x8^2+14361*x2*x4*x8^3+17968*x4^2*x8^3+15431*x1*x5*x8^3+14276*x2*x5*x8^3+4101*x3*x5*x8^3+13050*x4*x5*x8^3+10086*x5^2*x8^3+6236*x1*x6*x8^3+13164*x2*x6*x8^3+7065*x3*x6*x8^3+11218*x4*x6*x8^3+27016*x5*x6*x8^3+8307*x6^2*x8^3+31508*x1*x7*x8^3+22450*x2*x7*x8^3+6436*x3*x7*x8^3+4571*x4*x7*x8^3+22881*x5*x7*x8^3+30399*x6*x7*x8^3+23994*x7^2*x8^3+25198*x1*x8^4+16117*x2*x8^4+29314*x3*x8^4+8812*x4*x8^4+23851*x5*x8^4+65*x6*x8^4+18717*x7*x8^4+26938*x8^5+6293*x5^2*x7^2+2075*x1*x6*x7^2+26007*x2*x6*x7^2+9133*x3*x6*x7^2+28668*x4*x6*x7^2+13037*x5*x6*x7^2+9092*x6^2*x7^2+14390*x1*x7^3+18981*x2*x7^3+18242*x3*x7^3+14411*x4*x7^3+3517*x5*x7^3+243*x6*x7^3+22477*x7^4+24672*x3*x5*x6*x8+2485*x4*x5*x6*x8+14835*x5^2*x6*x8+1356*x1*x6^2*x8+15671*x2*x6^2*x8+12065*x3*x6^2*x8+24402*x4*x6^2*x8+4459*x5*x6^2*x8+6739*x6^3*x8+17616*x2*x4*x7*x8+15958*x1*x5*x7*x8+10536*x2*x5*x7*x8+21997*x3*x5*x7*x8+28825*x4*x5*x7*x8+1606*x5^2*x7*x8+5541*x1*x6*x7*x8+8207*x2*x6*x7*x8+18294*x3*x6*x7*x8+6486*x4*x6*x7*x8+6940*x5*x6*x7*x8+9822*x6^2*x7*x8+10912*x1*x7^2*x8+17844*x2*x7^2*x8+27414*x3*x7^2*x8+24782*x4*x7^2*x8+15353*x5*x7^2*x8+19883*x6*x7^2*x8+18363*x7^3*x8+1318*x2*x4*x8^2+103*x4^2*x8^2+21112*x1*x5*x8^2+1438*x2*x5*x8^2+2128*x3*x5*x8^2+9121*x4*x5*x8^2+24122*x5^2*x8^2+8787*x1*x6*x8^2+30877*x2*x6*x8^2+22517*x3*x6*x8^2+4252*x4*x6*x8^2+7976*x5*x6*x8^2+11047*x6^2*x8^2+12771*x1*x7*x8^2+8008*x2*x7*x8^2+5864*x3*x7*x8^2+4862*x4*x7*x8^2+25060*x5*x7*x8^2+31659*x6*x7*x8^2+13463*x7^2*x8^2+10604*x1*x8^3+4109*x2*x8^3+5442*x3*x8^3+2208*x4*x8^3+7978*x5*x8^3+1504*x6*x8^3+16847*x7*x8^3+23430*x8^4+1097*x3*x5*x6+13278*x4*x5*x6+1291*x5^2*x6+28475*x1*x6^2+26585*x2*x6^2+12970*x3*x6^2+29169*x4*x6^2+19746*x5*x6^2+22745*x6^3+25664*x2*x4*x7+10126*x1*x5*x7+3870*x2*x5*x7+16879*x3*x5*x7+18167*x4*x5*x7+22833*x5^2*x7+11665*x1*x6*x7+29525*x2*x6*x7+25439*x3*x6*x7+19110*x4*x6*x7+4126*x5*x6*x7+20741*x6^2*x7+9620*x1*x7^2+9782*x2*x7^2+24904*x3*x7^2+17028*x4*x7^2+29720*x5*x7^2+9886*x6*x7^2+11087*x7^3+3806*x2*x4*x8+21806*x4^2*x8+26769*x1*x5*x8+3425*x2*x5*x8+20105*x3*x5*x8+22185*x4*x5*x8+7352*x5^2*x8+20714*x1*x6*x8+7121*x2*x6*x8+16509*x3*x6*x8+16414*x4*x6*x8+27307*x5*x6*x8+10049*x6^2*x8+12952*x1*x7*x8+5018*x2*x7*x8+110*x3*x7*x8+12875*x4*x7*x8+16805*x5*x7*x8+13791*x6*x7*x8+19464*x7^2*x8+17519*x1*x8^2+1300*x2*x8^2+29903*x3*x8^2+16238*x4*x8^2+735*x5*x8^2+28883*x6*x8^2+14256*x7*x8^2+19228*x8^3+11214*x2*x4+9517*x4^2+1356*x1*x5+18404*x2*x5+11925*x3*x5+5349*x4*x5+8769*x5^2+24545*x1*x6+2075*x2*x6+1075*x3*x6+6*x4*x6+23262*x5*x6+15214*x6^2+3176*x1*x7+24173*x2*x7+23220*x3*x7+7553*x4*x7+3123*x5*x7+8867*x6*x7+20154*x7^2+1787*x1*x8+23162*x2*x8+30628*x3*x8+31956*x4*x8+2302*x5*x8+16103*x6*x8+26047*x7*x8+9071*x8^2+15623*x1+28099*x2+27548*x3+11845*x4+9033*x5+25397*x6+12538*x7+8181*x8+11705
+1*x2*x6^2*x8^3+8090*x2*x4*x8^4+28555*x4^2*x8^4+9836*x1*x5*x8^4+18317*x2*x5*x8^4+6266*x3*x5*x8^4+17923*x4*x5*x8^4+10187*x5^2*x8^4+13077*x1*x6*x8^4+6358*x2*x6*x8^4+22876*x3*x6*x8^4+18488*x4*x6*x8^4+29581*x5*x6*x8^4+5998*x6^2*x8^4+9423*x1*x7*x8^4+8963*x2*x7*x8^4+20134*x3*x7*x8^4+24351*x4*x7*x8^4+8471*x5*x7*x8^4+20144*x6*x7*x8^4+25356*x7^2*x8^4+8473*x1*x8^5+3727*x2*x8^5+25364*x3*x8^5+8413*x4*x8^5+29928*x5*x8^5+4351*x6*x8^5+19838*x7*x8^5+25652*x8^6+30477*x3*x5*x6*x8^2+6319*x4*x5*x6*x8^2+16380*x5^2*x6*x8^2+23194*x1*x6^2*x8^2+12639*x2*x6^2*x8^2+19381*x3*x6^2*x8^2+16755*x4*x6^2*x8^2+20107*x5*x6^2*x8^2+25277*x6^3*x8^2+19874*x2*x4*x7*x8^2+6323*x1*x5*x7*x8^2+28071*x2*x5*x7*x8^2+20141*x3*x5*x7*x8^2+24371*x4*x5*x7*x8^2+6565*x5^2*x7*x8^2+24685*x1*x6*x7*x8^2+14715*x2*x6*x7*x8^2+28888*x3*x6*x7*x8^2+12604*x4*x6*x7*x8^2+11849*x5*x6*x7*x8^2+22792*x6^2*x7*x8^2+10587*x1*x7^2*x8^2+10314*x2*x7^2*x8^2+15211*x3*x7^2*x8^2+10964*x4*x7^2*x8^2+27038*x5*x7^2*x8^2+3112*x6*x7^2*x8^2+2035*x7^3*x8^2+3868*x2*x4*x8^3+23919*x4^2*x8^3+16092*x1*x5*x8^3+26317*x2*x5*x8^3+18805*x3*x5*x8^3+5719*x4*x5*x8^3+9153*x5^2*x8^3+28582*x1*x6*x8^3+29116*x2*x6*x8^3+24300*x3*x6*x8^3+10247*x4*x6*x8^3+2410*x5*x6*x8^3+3867*x6^2*x8^3+5195*x1*x7*x8^3+7810*x2*x7*x8^3+3167*x3*x7*x8^3+18142*x4*x7*x8^3+6790*x5*x7*x8^3+5249*x6*x7*x8^3+22122*x7^2*x8^3+25493*x1*x8^4+29086*x2*x8^4+16434*x3*x8^4+9816*x4*x8^4+15490*x5*x8^4+29050*x6*x8^4+24951*x7*x8^4+16846*x8^5+22271*x5^2*x7^2+22594*x1*x6*x7^2+10216*x2*x6*x7^2+20557*x3*x6*x7^2+22867*x4*x6*x7^2+18888*x5*x6*x7^2+6096*x6^2*x7^2+26855*x1*x7^3+12851*x2*x7^3+17812*x3*x7^3+27689*x4*x7^3+20168*x5*x7^3+19008*x6*x7^3+17968*x7^4+14357*x3*x5*x6*x8+23545*x4*x5*x6*x8+5509*x5^2*x6*x8+26027*x1*x6^2*x8+16088*x2*x6^2*x8+1174*x3*x6^2*x8+21093*x4*x6^2*x8+10564*x5*x6^2*x8+18069*x6^3*x8+15991*x2*x4*x7*x8+9259*x1*x5*x7*x8+28069*x2*x5*x7*x8+27788*x3*x5*x7*x8+24915*x4*x5*x7*x8+18602*x5^2*x7*x8+1426*x1*x6*x7*x8+13710*x2*x6*x7*x8+3172*x3*x6*x7*x8+14314*x4*x6*x7*x8+10157*x5*x6*x7*x8+20739*x6^2*x7*x8+13006*x1*x7^2*x8+20079*x2*x7^2*x8+11638*x3*x7^2*x8+16665*x4*x7^2*x8+294*x5*x7^2*x8+18133*x6*x7^2*x8+5176*x7^3*x8+16635*x2*x4*x8^2+10096*x4^2*x8^2+19634*x1*x5*x8^2+173*x2*x5*x8^2+27145*x3*x5*x8^2+31796*x4*x5*x8^2+9246*x5^2*x8^2+25606*x1*x6*x8^2+26345*x2*x6*x8^2+25437*x3*x6*x8^2+5603*x4*x6*x8^2+2446*x5*x6*x8^2+3979*x6^2*x8^2+31027*x1*x7*x8^2+14572*x2*x7*x8^2+12455*x3*x7*x8^2+19143*x4*x7*x8^2+3536*x5*x7*x8^2+29292*x6*x7*x8^2+13221*x7^2*x8^2+22746*x1*x8^3+9732*x2*x8^3+29842*x3*x8^3+12170*x4*x8^3+9907*x5*x8^3+22843*x6*x8^3+23413*x7*x8^3+10764*x8^4+14380*x3*x5*x6+17168*x4*x5*x6+11616*x5^2*x6+11716*x1*x6^2+3749*x2*x6^2+20596*x3*x6^2+7419*x4*x6^2+27085*x5*x6^2+4919*x6^3+18924*x2*x4*x7+10552*x1*x5*x7+7138*x2*x5*x7+29747*x3*x5*x7+8059*x4*x5*x7+6210*x5^2*x7+27144*x1*x6*x7+10700*x2*x6*x7+4716*x3*x6*x7+2455*x4*x6*x7+4258*x5*x6*x7+28271*x6^2*x7+23885*x1*x7^2+4539*x2*x7^2+2377*x3*x7^2+6511*x4*x7^2+30808*x5*x7^2+28969*x6*x7^2+10711*x7^3+13176*x2*x4*x8+10990*x4^2*x8+10930*x1*x5*x8+8867*x2*x5*x8+16558*x3*x5*x8+13275*x4*x5*x8+14627*x5^2*x8+30578*x1*x6*x8+7429*x2*x6*x8+29630*x3*x6*x8+16128*x4*x6*x8+19422*x5*x6*x8+7500*x6^2*x8+25873*x1*x7*x8+11892*x2*x7*x8+19695*x3*x7*x8+18619*x4*x7*x8+19971*x5*x7*x8+25155*x6*x7*x8+1668*x7^2*x8+22596*x1*x8^2+6806*x2*x8^2+16342*x3*x8^2+30097*x4*x8^2+4341*x5*x8^2+11001*x6*x8^2+51*x7*x8^2+31599*x8^3+14942*x2*x4+25223*x4^2+8937*x1*x5+22342*x2*x5+30777*x3*x5+28373*x4*x5+14393*x5^2+21909*x1*x6+7727*x2*x6+28346*x3*x6+23636*x4*x6+9586*x5*x6+11267*x6^2+4127*x1*x7+31712*x2*x7+4947*x3*x7+24035*x4*x7+23115*x5*x7+1509*x6*x7+6112*x7^2+1395*x1*x8+3077*x2*x8+26992*x3*x8+13426*x4*x8+5391*x5*x8+20957*x6*x8+3093*x7*x8+27032*x8^2+12165*x1+27909*x2+16060*x3+1478*x4+1844*x5+25921*x6+14325*x7+14794*x8+20098
+1*x1*x6^2*x8^3+14052*x2*x4*x8^4+3154*x4^2*x8^4+2085*x1*x5*x8^4+4320*x2*x5*x8^4+24529*x3*x5*x8^4+1167*x4*x5*x8^4+27582*x5^2*x8^4+9794*x1*x6*x8^4+4061*x2*x6*x8^4+135*x3*x6*x8^4+17340*x4*x6*x8^4+16905*x5*x6*x8^4+12723*x6^2*x8^4+25044*x1*x7*x8^4+24588*x2*x7*x8^4+5152*x3*x7*x8^4+11982*x4*x7*x8^4+28291*x5*x7*x8^4+19597*x6*x7*x8^4+16332*x7^2*x8^4+21722*x1*x8^5+12348*x2*x8^5+24216*x3*x8^5+31671*x4*x8^5+12844*x5*x8^5+2619*x6*x8^5+23151*x7*x8^5+19383*x8^6+13339*x3*x5*x6*x8^2+15409*x4*x5*x6*x8^2+27657*x5^2*x6*x8^2+20951*x1*x6^2*x8^2+30171*x2*x6^2*x8^2+23082*x3*x6^2*x8^2+29262*x4*x6^2*x8^2+18146*x5*x6^2*x8^2+8218*x6^3*x8^2+24440*x2*x4*x7*x8^2+26892*x1*x5*x7*x8^2+7465*x2*x5*x7*x8^2+2715*x3*x5*x7*x8^2+25263*x4*x5*x7*x8^2+26842*x5^2*x7*x8^2+1685*x1*x6*x7*x8^2+6783*x2*x6*x7*x8^2+26040*x3*x6*x7*x8^2+9372*x4*x6*x7*x8^2+20667*x5*x6*x7*x8^2+27260*x6^2*x7*x8^2+24731*x1*x7^2*x8^2+17856*x2*x7^2*x8^2+31735*x3*x7^2*x8^2+17215*x4*x7^2*x8^2+26590*x5*x7^2*x8^2+15706*x6*x7^2*x8^2+24779*x7^3*x8^2+27223*x2*x4*x8^3+9579*x4^2*x8^3+12123*x1*x5*x8^3+19158*x2*x5*x8^3+30962*x3*x5*x8^3+5384*x4*x5*x8^3+2326*x5^2*x8^3+9689*x1*x6*x8^3+18360*x2*x6*x8^3+23959*x3*x6*x8^3+16542*x4*x6*x8^3+20895*x5*x6*x8^3+24814*x6^2*x8^3+19728*x1*x7*x8^3+26523*x2*x7*x8^3+950*x3*x7*x8^3+19080*x4*x7*x8^3+27037*x5*x7*x8^3+17262*x6*x7*x8^3+28675*x7^2*x8^3+15780*x1*x8^4+26007*x2*x8^4+15334*x3*x8^4+14428*x4*x8^4+7779*x5*x8^4+3090*x6*x8^4+3659*x7*x8^4+20568*x8^5+15516*x5^2*x7^2+12045*x1*x6*x7^2+31699*x2*x6*x7^2+26458*x3*x6*x7^2+3847*x4*x6*x7^2+11434*x5*x6*x7^2+3672*x6^2*x7^2+26033*x1*x7^3+10400*x2*x7^3+15029*x3*x7^3+3367*x4*x7^3+21872*x5*x7^3+13877*x6*x7^3+16188*x7^4+5919*x3*x5*x6*x8+8296*x4*x5*x6*x8+31233*x5^2*x6*x8+12056*x1*x6^2*x8+7986*x2*x6^2*x8+31618*x3*x6^2*x8+24173*x4*x6^2*x8+22625*x5*x6^2*x8+21698*x6^3*x8+31372*x2*x4*x7*x8+11447*x1*x5*x7*x8+29589*x2*x5*x7*x8+977*x3*x5*x7*x8+15020*x4*x5*x7*x8+18705*x5^2*x7*x8+8360*x1*x6*x7*x8+2808*x2*x6*x7*x8+29798*x3*x6*x7*x8+783*x4*x6*x7*x8+29128*x5*x6*x7*x8+24504*x6^2*x7*x8+18005*x1*x7^2*x8+16729*x2*x7^2*x8+19248*x3*x7^2*x8+15459*x4*x7^2*x8+10678*x5*x7^2*x8+29654*x6*x7^2*x8+14506*x7^3*x8+20096*x2*x4*x8^2+28663*x4^2*x8^2+3877*x1*x5*x8^2+938*x2*x5*x8^2+10173*x3*x5*x8^2+30541*x4*x5*x8^2+28047*x5^2*x8^2+18700*x1*x6*x8^2+23583*x2*x6*x8^2+28562*x3*x6*x8^2+17181*x4*x6*x8^2+31482*x5*x6*x8^2+18328*x6^2*x8^2+14536*x1*x7*x8^2+10070*x2*x7*x8^2+21098*x3*x7*x8^2+30255*x4*x7*x8^2+6518*x5*x7*x8^2+28881*x6*x7*x8^2+22351*x7^2*x8^2+15406*x1*x8^3+20477*x2*x8^3+25070*x3*x8^3+15530*x4*x8^3+19767*x5*x8^3+15301*x6*x8^3+11171*x7*x8^3+2219*x8^4+14366*x3*x5*x6+26415*x4*x5*x6+8169*x5^2*x6+11198*x1*x6^2+2944*x2*x6^2+4486*x3*x6^2+8655*x4*x6^2+20015*x5*x6^2+14356*x6^3+23208*x2*x4*x7+9297*x1*x5*x7+10073*x2*x5*x7+7266*x3*x5*x7+9705*x4*x5*x7+14107*x5^2*x7+842*x1*x6*x7+10563*x2*x6*x7+7331*x3*x6*x7+14857*x4*x6*x7+14791*x5*x6*x7+8793*x6^2*x7+11669*x1*x7^2+20176*x2*x7^2+22316*x3*x7^2+16961*x4*x7^2+24815*x5*x7^2+3197*x6*x7^2+31124*x7^3+4155*x2*x4*x8+20645*x4^2*x8+25054*x1*x5*x8+18780*x2*x5*x8+25098*x3*x5*x8+20179*x4*x5*x8+7934*x5^2*x8+18352*x1*x6*x8+19786*x2*x6*x8+31839*x3*x6*x8+16741*x4*x6*x8+7639*x5*x6*x8+8279*x6^2*x8+13597*x1*x7*x8+26806*x2*x7*x8+16220*x3*x7*x8+23514*x4*x7*x8+1311*x5*x7*x8+20829*x6*x7*x8+13460*x7^2*x8+29161*x1*x8^2+24004*x2*x8^2+9712*x3*x8^2+12903*x4*x8^2+30*x5*x8^2+12638*x6*x8^2+31334*x7*x8^2+7969*x8^3+28092*x2*x4+16471*x4^2+30554*x1*x5+14066*x2*x5+14684*x3*x5+21213*x4*x5+18692*x5^2+20814*x1*x6+890*x2*x6+9082*x3*x6+17971*x4*x6+30098*x5*x6+27267*x6^2+2987*x1*x7+13741*x2*x7+2297*x3*x7+15572*x4*x7+11293*x5*x7+20910*x6*x7+21756*x7^2+19460*x1*x8+10511*x2*x8+640*x3*x8+3757*x4*x8+14016*x5*x8+14468*x6*x8+5881*x7*x8+17732*x8^2+25565*x1+4081*x2+3230*x3+23002*x4+27831*x5+26358*x6+2446*x7+206*x8+2180
+1*x5^2*x6*x8^3+2894*x2*x4*x8^4+7260*x4^2*x8^4+13383*x1*x5*x8^4+12451*x2*x5*x8^4+22267*x3*x5*x8^4+3315*x4*x5*x8^4+27245*x5^2*x8^4+22838*x1*x6*x8^4+14012*x2*x6*x8^4+10160*x3*x6*x8^4+2811*x4*x6*x8^4+21444*x5*x6*x8^4+29081*x6^2*x8^4+19356*x1*x7*x8^4+11374*x2*x7*x8^4+19702*x3*x7*x8^4+18440*x4*x7*x8^4+15696*x5*x7*x8^4+31680*x6*x7*x8^4+18162*x7^2*x8^4+8717*x1*x8^5+16631*x2*x8^5+29628*x3*x8^5+12690*x4*x8^5+17698*x5*x8^5+13550*x6*x8^5+8910*x7*x8^5+9705*x8^6+23897*x3*x5*x6*x8^2+5242*x4*x5*x6*x8^2+11600*x5^2*x6*x8^2+2145*x1*x6^2*x8^2+7657*x2*x6^2*x8^2+22733*x3*x6^2*x8^2+18685*x4*x6^2*x8^2+31289*x5*x6^2*x8^2+27669*x6^3*x8^2+12523*x2*x4*x7*x8^2+28151*x1*x5*x7*x8^2+15415*x2*x5*x7*x8^2+7508*x3*x5*x7*x8^2+18029*x4*x5*x7*x8^2+5339*x5^2*x7*x8^2+17865*x1*x6*x7*x8^2+6542*x2*x6*x7*x8^2+26627*x3*x6*x7*x8^2+19582*x4*x6*x7*x8^2+21663*x5*x6*x7*x8^2+19624*x6^2*x7*x8^2+8081*x1*x7^2*x8^2+7944*x2*x7^2*x8^2+28179*x3*x7^2*x8^2+29435*x4*x7^2*x8^2+21741*x5*x7^2*x8^2+28726*x6*x7^2*x8^2+27706*x7^3*x8^2+29615*x2*x4*x8^3+12064*x4^2*x8^3+8119*x1*x5*x8^3+28442*x2*x5*x8^3+29221*x3*x5*x8^3+10238*x4*x5*x8^3+21530*x5^2*x8^3+10384*x1*x6*x8^3+6308*x2*x6*x8^3+4104*x3*x6*x8^3+16290*x4*x6*x8^3+5567*x5*x6*x8^3+21422*x6^2*x8^3+9017*x1*x7*x8^3+19903*x2*x7*x8^3+22765*x3*x7*x8^3+28556*x4*x7*x8^3+15065*x5*x7*x8^3+6512*x6*x7*x8^3+19008*x7^2*x8^3+30636*x1*x8^4+8546*x2*x8^4+10722*x3*x8^4+4413*x4*x8^4+12130*x5*x8^4+22612*x6*x8^4+3705*x7*x8^4+25586*x8^5+5731*x5^2*x7^2+15025*x1*x6*x7^2+28284*x2*x6*x7^2+31616*x3*x6*x7^2+8285*x4*x6*x7^2+29194*x5*x6*x7^2+27553*x6^2*x7^2+2247*x1*x7^3+16585*x2*x7^3+15898*x3*x7^3+9875*x4*x7^3+8827*x5*x7^3+13050*x6*x7^3+27029*x7^4+9751*x3*x5*x6*x8+14450*x4*x5*x6*x8+27730*x5^2*x6*x8+17103*x1*x6^2*x8+15690*x2*x6^2*x8+25762*x3*x6^2*x8+30305*x4*x6^2*x8+7443*x5*x6^2*x8+2150*x6^3*x8+17377*x2*x4*x7*x8+1286*x1*x5*x7*x8+14797*x2*x5*x7*x8+22923*x3*x5*x7*x8+30722*x4*x5*x7*x8+16720*x5^2*x7*x8+7070*x1*x6*x7*x8+21662*x2*x6*x7*x8+15986*x3*x6*x7*x8+10924*x4*x6*x7*x8+23005*x5*x6*x7*x8+1184*x6^2*x7*x8+18769*x1*x7^2*x8+5824*x2*x7^2*x8+13320*x3*x7^2*x8+28964*x4*x7^2*x8+7169*x5*x7^2*x8+1308*x6*x7^2*x8+29853*x7^3*x8+28117*x2*x4*x8^2+868*x4^2*x8^2+8061*x1*x5*x8^2+16594*x2*x5*x8^2+8358*x3*x5*x8^2+21966*x4*x5*x8^2+8378*x5^2*x8^2+25147*x1*x6*x8^2+11558*x2*x6*x8^2+23830*x3*x6*x8^2+10757*x4*x6*x8^2+7608*x5*x6*x8^2+31974*x6^2*x8^2+15635*x1*x7*x8^2+6484*x2*x7*x8^2+31146*x3*x7*x8^2+31383*x4*x7*x8^2+1970*x5*x7*x8^2+22263*x6*x7*x8^2+26409*x7^2*x8^2+31257*x1*x8^3+11301*x2*x8^3+10680*x3*x8^3+1240*x4*x8^3+30161*x5*x8^3+13244*x6*x8^3+30459*x7*x8^3+14974*x8^4+13062*x3*x5*x6+10881*x4*x5*x6+28346*x5^2*x6+14013*x1*x6^2+13166*x2*x6^2+3577*x3*x6^2+20163*x4*x6^2+11030*x5*x6^2+950*x6^3+15526*x2*x4*x7+213*x1*x5*x7+1174*x2*x5*x7+7994*x3*x5*x7+27289*x4*x5*x7+14911*x5^2*x7+18528*x1*x6*x7+30654*x2*x6*x7+11144*x3*x6*x7+9016*x4*x6*x7+3245*x5*x6*x7+3646*x6^2*x7+24773*x1*x7^2+12833*x2*x7^2+7110*x3*x7^2+6592*x4*x7^2+15083*x5*x7^2+22275*x6*x7^2+22658*x7^3+3431*x2*x4*x8+2579*x4^2*x8+28877*x1*x5*x8+10636*x2*x5*x8+6473*x3*x5*x8+31768*x4*x5*x8+26416*x5^2*x8+9213*x1*x6*x8+15655*x2*x6*x8+19415*x3*x6*x8+10064*x4*x6*x8+524*x5*x6*x8+3754*x6^2*x8+14560*x1*x7*x8+6524*x2*x7*x8+22071*x3*x7*x8+27362*x4*x7*x8+27196*x5*x7*x8+1918*x6*x7*x8+29636*x7^2*x8+21496*x1*x8^2+11017*x2*x8^2+13809*x3*x8^2+7765*x4*x8^2+1264*x5*x8^2+5055*x6*x8^2+4302*x7*x8^2+17972*x8^3+24539*x2*x4+2586*x4^2+2836*x1*x5+25766*x2*x5+12826*x3*x5+28896*x4*x5+30652*x5^2+9928*x1*x6+3793*x2*x6+4046*x3*x6+30358*x4*x6+29833*x5*x6+23197*x6^2+520*x1*x7+3639*x2*x7+3672*x3*x7+14128*x4*x7+23028*x5*x7+12525*x6*x7+9949*x7^2+12174*x1*x8+3025*x2*x8+30786*x3*x8+13214*x4*x8+28040*x5*x8+26066*x6*x8+7539*x7*x8+30571*x8^2+4952*x1+8002*x2+6453*x3+19051*x4+22334*x5+30708*x6+18561*x7+24294*x8+29935
+1*x4*x5*x6*x8^3+10222*x2*x4*x8^4+20936*x4^2*x8^4+19882*x1*x5*x8^4+12166*x2*x5*x8^4+25042*x3*x5*x8^4+14506*x4*x5*x8^4+7606*x5^2*x8^4+10937*x1*x6*x8^4+26678*x2*x6*x8^4+21170*x3*x6*x8^4+15858*x4*x6*x8^4+10360*x5*x6*x8^4+30892*x6^2*x8^4+18821*x1*x7*x8^4+12811*x2*x7*x8^4+15675*x3*x7*x8^4+11358*x4*x7*x8^4+17418*x5*x7*x8^4+13022*x6*x7*x8^4+29892*x7^2*x8^4+25433*x1*x8^5+13887*x2*x8^5+10222*x3*x8^5+7716*x4*x8^5+23437*x5*x8^5+15618*x6*x8^5+20848*x7*x8^5+21826*x8^6+1297*x3*x5*x6*x8^2+8631*x4*x5*x6*x8^2+28248*x5^2*x6*x8^2+8780*x1*x6^2*x8^2+30633*x2*x6^2*x8^2+17279*x3*x6^2*x8^2+22324*x4*x6^2*x8^2+19296*x5*x6^2*x8^2+25871*x6^3*x8^2+27211*x2*x4*x7*x8^2+21043*x1*x5*x7*x8^2+9151*x2*x5*x7*x8^2+14766*x3*x5*x7*x8^2+2893*x4*x5*x7*x8^2+190*x5^2*x7*x8^2+1185*x1*x6*x7*x8^2+13200*x2*x6*x7*x8^2+9439*x3*x6*x7*x8^2+21150*x4*x6*x7*x8^2+23199*x5*x6*x7*x8^2+7943*x6^2*x7*x8^2+24677*x1*x7^2*x8^2+18961*x2*x7^2*x8^2+21816*x3*x7^2*x8^2+23266*x4*x7^2*x8^2+16307*x5*x7^2*x8^2+14231*x6*x7^2*x8^2+5440*x7^3*x8^2+25051*x2*x4*x8^3+13447*x4^2*x8^3+23940*x1*x5*x8^3+5702*x2*x5*x8^3+12516*x3*x5*x8^3+3702*x4*x5*x8^3+9425*x5^2*x8^3+27604*x1*x6*x8^3+10745*x2*x6*x8^3+7714*x3*x6*x8^3+21225*x4*x6*x8^3+28866*x5*x6*x8^3+24931*x6^2*x8^3+26660*x1*x7*x8^3+24051*x2*x7*x8^3+24715*x3*x7*x8^3+3087*x4*x7*x8^3+16601*x5*x7*x8^3+18085*x6*x7*x8^3+7442*x7^2*x8^3+25582*x1*x8^4+27001*x2*x8^4+10512*x3*x8^4+5209*x4*x8^4+30864*x5*x8^4+19656*x6*x8^4+503*x7*x8^4+24736*x8^5+4558*x5^2*x7^2+29883*x1*x6*x7^2+1444*x2*x6*x7^2+29663*x3*x6*x7^2+7967*x4*x6*x7^2+24645*x5*x6*x7^2+22490*x6^2*x7^2+8438*x1*x7^3+7860*x2*x7^3+26558*x3*x7^3+28937*x4*x7^3+14654*x5*x7^3+19852*x6*x7^3+13851*x7^4+10918*x3*x5*x6*x8+4193*x4*x5*x6*x8+28966*x5^2*x6*x8+10079*x1*x6^2*x8+29304*x2*x6^2*x8+29153*x3*x6^2*x8+3341*x4*x6^2*x8+2004*x5*x6^2*x8+27572*x6^3*x8+13228*x2*x4*x7*x8+2500*x1*x5*x7*x8+3234*x2*x5*x7*x8+8479*x3*x5*x7*x8+30188*x4*x5*x7*x8+27550*x5^2*x7*x8+14613*x1*x6*x7*x8+28365*x2*x6*x7*x8+30876*x3*x6*x7*x8+17415*x4*x6*x7*x8+9687*x5*x6*x7*x8+19596*x6^2*x7*x8+9997*x1*x7^2*x8+15301*x2*x7^2*x8+17965*x3*x7^2*x8+22023*x4*x7^2*x8+3835*x5*x7^2*x8+2490*x6*x7^2*x8+25769*x7^3*x8+2606*x2*x4*x8^2+13082*x4^2*x8^2+9672*x1*x5*x8^2+7046*x2*x5*x8^2+26662*x3*x5*x8^2+6496*x4*x5*x8^2+19792*x5^2*x8^2+9215*x1*x6*x8^2+22017*x2*x6*x8^2+3713*x3*x6*x8^2+15803*x4*x6*x8^2+5152*x5*x6*x8^2+7129*x6^2*x8^2+31195*x1*x7*x8^2+15732*x2*x7*x8^2+27075*x3*x7*x8^2+28595*x4*x7*x8^2+11310*x5*x7*x8^2+28255*x6*x7*x8^2+23001*x7^2*x8^2+28536*x1*x8^3+26158*x2*x8^3+24708*x3*x8^3+4184*x4*x8^3+29199*x5*x8^3+9740*x6*x8^3+22891*x7*x8^3+30928*x8^4+25405*x3*x5*x6+13697*x4*x5*x6+31611*x5^2*x6+28263*x1*x6^2+24721*x2*x6^2+25957*x3*x6^2+28528*x4*x6^2+2646*x5*x6^2+25853*x6^3+2118*x2*x4*x7+3626*x1*x5*x7+29069*x2*x5*x7+710*x3*x5*x7+14254*x4*x5*x7+17510*x5^2*x7+16463*x1*x6*x7+8700*x2*x6*x7+7084*x3*x6*x7+4486*x4*x6*x7+23153*x5*x6*x7+25300*x6^2*x7+14907*x1*x7^2+27600*x2*x7^2+386*x3*x7^2+27218*x4*x7^2+24351*x5*x7^2+24555*x6*x7^2+24428*x7^3+21040*x2*x4*x8+22218*x4^2*x8+6564*x1*x5*x8+20296*x2*x5*x8+7577*x3*x5*x8+6370*x4*x5*x8+15258*x5^2*x8+12095*x1*x6*x8+29997*x2*x6*x8+7030*x3*x6*x8+13516*x4*x6*x8+16744*x5*x6*x8+27358*x6^2*x8+7765*x1*x7*x8+28524*x2*x7*x8+23160*x3*x7*x8+30828*x4*x7*x8+29049*x5*x7*x8+472*x6*x7*x8+88*x7^2*x8+3270*x1*x8^2+15097*x2*x8^2+27300*x3*x8^2+27794*x4*x8^2+15092*x5*x8^2+22147*x6*x8^2+24049*x7*x8^2+4174*x8^3+27289*x2*x4+6084*x4^2+1751*x1*x5+21530*x2*x5+11571*x3*x5+14212*x4*x5+29661*x5^2+16503*x1*x6+18150*x2*x6+14575*x3*x6+29202*x4*x6+11942*x5*x6+3429*x6^2+29685*x1*x7+17661*x2*x7+21750*x3*x7+9388*x4*x7+13328*x5*x7+25109*x6*x7+23592*x7^2+12966*x1*x8+13393*x2*x8+7366*x3*x8+4326*x4*x8+28753*x5*x8+29957*x6*x8+27243*x7*x8+27349*x8^2+28747*x1+9151*x2+9131*x3+12063*x4+10207*x5+19428*x6+25960*x7+7236*x8+17399
+1*x3*x5*x6*x8^3+22254*x2*x4*x8^4+19470*x4^2*x8^4+6064*x1*x5*x8^4+3587*x2*x5*x8^4+5234*x3*x5*x8^4+27938*x4*x5*x8^4+6752*x5^2*x8^4+29031*x1*x6*x8^4+23991*x2*x6*x8^4+20418*x3*x6*x8^4+21139*x4*x6*x8^4+24536*x5*x6*x8^4+27586*x6^2*x8^4+6685*x1*x7*x8^4+21821*x2*x7*x8^4+30437*x3*x7*x8^4+888*x4*x7*x8^4+21596*x5*x7*x8^4+2102*x6*x7*x8^4+12245*x7^2*x8^4+5790*x1*x8^5+10566*x2*x8^5+14884*x3*x8^5+22673*x4*x8^5+4753*x5*x8^5+31918*x6*x8^5+27425*x7*x8^5+30475*x8^6+19157*x3*x5*x6*x8^2+29222*x4*x5*x6*x8^2+31240*x5^2*x6*x8^2+371*x1*x6^2*x8^2+4575*x2*x6^2*x8^2+20661*x3*x6^2*x8^2+14440*x4*x6^2*x8^2+29344*x5*x6^2*x8^2+12546*x6^3*x8^2+17896*x2*x4*x7*x8^2+20482*x1*x5*x7*x8^2+21137*x2*x5*x7*x8^2+8003*x3*x5*x7*x8^2+31693*x4*x5*x7*x8^2+12327*x5^2*x7*x8^2+14476*x1*x6*x7*x8^2+15351*x2*x6*x7*x8^2+10693*x3*x6*x7*x8^2+5432*x4*x6*x7*x8^2+28351*x5*x6*x7*x8^2+22411*x6^2*x7*x8^2+6023*x1*x7^2*x8^2+22511*x2*x7^2*x8^2+28187*x3*x7^2*x8^2+29737*x4*x7^2*x8^2+14638*x5*x7^2*x8^2+31832*x6*x7^2*x8^2+26074*x7^3*x8^2+30727*x2*x4*x8^3+26094*x4^2*x8^3+2774*x1*x5*x8^3+23387*x2*x5*x8^3+31220*x3*x5*x8^3+17216*x4*x5*x8^3+17935*x5^2*x8^3+6227*x1*x6*x8^3+31461*x2*x6*x8^3+3158*x3*x6*x8^3+29943*x4*x6*x8^3+8291*x5*x6*x8^3+10711*x6^2*x8^3+12946*x1*x7*x8^3+27464*x2*x7*x8^3+24835*x3*x7*x8^3+9294*x4*x7*x8^3+26769*x5*x7*x8^3+18852*x6*x7*x8^3+29003*x7^2*x8^3+27617*x1*x8^4+10371*x2*x8^4+16613*x3*x8^4+12579*x4*x8^4+22418*x5*x8^4+7361*x6*x8^4+22917*x7*x8^4+8023*x8^5+20640*x5^2*x7^2+198*x1*x6*x7^2+23493*x2*x6*x7^2+23512*x3*x6*x7^2+25712*x4*x6*x7^2+2981*x5*x6*x7^2+27954*x6^2*x7^2+2698*x1*x7^3+29726*x2*x7^3+6056*x3*x7^3+5623*x4*x7^3+7011*x5*x7^3+12009*x6*x7^3+14861*x7^4+27352*x3*x5*x6*x8+12799*x4*x5*x6*x8+15023*x5^2*x6*x8+30849*x1*x6^2*x8+26620*x2*x6^2*x8+19395*x3*x6^2*x8+16549*x4*x6^2*x8+12254*x5*x6^2*x8+25915*x6^3*x8+14594*x2*x4*x7*x8+23247*x1*x5*x7*x8+4123*x2*x5*x7*x8+17460*x3*x5*x7*x8+1366*x4*x5*x7*x8+23636*x5^2*x7*x8+6306*x1*x6*x7*x8+20335*x2*x6*x7*x8+18006*x3*x6*x7*x8+3875*x4*x6*x7*x8+31861*x5*x6*x7*x8+3809*x6^2*x7*x8+25438*x1*x7^2*x8+31531*x2*x7^2*x8+3509*x3*x7^2*x8+18299*x4*x7^2*x8+16480*x5*x7^2*x8+11223*x6*x7^2*x8+28588*x7^3*x8+9850*x2*x4*x8^2+7185*x4^2*x8^2+1428*x1*x5*x8^2+608*x2*x5*x8^2+31926*x3*x5*x8^2+17638*x4*x5*x8^2+25115*x5^2*x8^2+2924*x1*x6*x8^2+28345*x2*x6*x8^2+7761*x3*x6*x8^2+4193*x4*x6*x8^2+24334*x5*x6*x8^2+2020*x6^2*x8^2+10606*x1*x7*x8^2+3437*x2*x7*x8^2+19165*x3*x7*x8^2+13389*x4*x7*x8^2+26636*x5*x7*x8^2+15118*x6*x7*x8^2+17360*x7^2*x8^2+3475*x1*x8^3+16391*x2*x8^3+16643*x3*x8^3+19894*x4*x8^3+10783*x5*x8^3+9889*x6*x8^3+17716*x7*x8^3+9887*x8^4+15262*x3*x5*x6+16685*x4*x5*x6+6237*x5^2*x6+12927*x1*x6^2+6803*x2*x6^2+12476*x3*x6^2+20549*x4*x6^2+15258*x5*x6^2+17886*x6^3+7674*x2*x4*x7+20988*x1*x5*x7+30766*x2*x5*x7+9690*x3*x5*x7+21416*x4*x5*x7+8677*x5^2*x7+21304*x1*x6*x7+8117*x2*x6*x7+9594*x3*x6*x7+9731*x4*x6*x7+6541*x5*x6*x7+17145*x6^2*x7+25625*x1*x7^2+25787*x2*x7^2+31867*x3*x7^2+28436*x4*x7^2+25314*x5*x7^2+11604*x6*x7^2+21057*x7^3+22924*x2*x4*x8+21527*x4^2*x8+2971*x1*x5*x8+26733*x2*x5*x8+17321*x3*x5*x8+1896*x4*x5*x8+26032*x5^2*x8+16686*x1*x6*x8+26972*x2*x6*x8+1059*x3*x6*x8+27030*x4*x6*x8+2990*x5*x6*x8+10207*x6^2*x8+14725*x1*x7*x8+13525*x2*x7*x8+30836*x3*x7*x8+14474*x4*x7*x8+10284*x5*x7*x8+28329*x6*x7*x8+26968*x7^2*x8+28569*x1*x8^2+1098*x2*x8^2+20469*x3*x8^2+13963*x4*x8^2+21829*x5*x8^2+10895*x6*x8^2+30248*x7*x8^2+15542*x8^3+14604*x2*x4+31961*x4^2+7320*x1*x5+19585*x2*x5+19345*x3*x5+22845*x4*x5+5497*x5^2+22966*x1*x6+2911*x2*x6+24166*x3*x6+15962*x4*x6+23179*x5*x6+28965*x6^2+9977*x1*x7+5711*x2*x7+28653*x3*x7+14118*x4*x7+30415*x5*x7+9388*x6*x7+27705*x7^2+17235*x1*x8+4490*x2*x8+28722*x3*x8+28372*x4*x8+26030*x5*x8+6414*x6*x8+11149*x7*x8+6633*x8^2+26831*x1+21371*x2+20638*x3+10214*x4+9929*x5+28565*x6+22109*x7+27123*x8+650
+1*x7^2*x8^5+23167*x1*x8^6+7736*x2*x8^6+2128*x3*x8^6+8365*x4*x8^6+1754*x5*x8^6+2247*x6*x8^6+18463*x7*x8^6+16543*x8^7+28795*x2*x4*x8^4+29453*x4^2*x8^4+21435*x1*x5*x8^4+28579*x2*x5*x8^4+17267*x3*x5*x8^4+8233*x4*x5*x8^4+14040*x5^2*x8^4+14639*x1*x6*x8^4+10274*x2*x6*x8^4+24887*x3*x6*x8^4+15711*x4*x6*x8^4+6815*x5*x6*x8^4+21324*x6^2*x8^4+21140*x1*x7*x8^4+3372*x2*x7*x8^4+2244*x3*x7*x8^4+7697*x4*x7*x8^4+6062*x5*x7*x8^4+20927*x6*x7*x8^4+22770*x7^2*x8^4+22446*x1*x8^5+13868*x2*x8^5+16233*x3*x8^5+10148*x4*x8^5+10653*x5*x8^5+18296*x6*x8^5+3792*x7*x8^5+19992*x8^6+13947*x3*x5*x6*x8^2+23439*x4*x5*x6*x8^2+11930*x5^2*x6*x8^2+21550*x1*x6^2*x8^2+25935*x2*x6^2*x8^2+24466*x3*x6^2*x8^2+2866*x4*x6^2*x8^2+18014*x5*x6^2*x8^2+13077*x6^3*x8^2+25194*x2*x4*x7*x8^2+2930*x1*x5*x7*x8^2+215*x2*x5*x7*x8^2+28894*x3*x5*x7*x8^2+18341*x4*x5*x7*x8^2+6792*x5^2*x7*x8^2+57*x1*x6*x7*x8^2+21514*x2*x6*x7*x8^2+2071*x3*x6*x7*x8^2+60*x4*x6*x7*x8^2+14550*x5*x6*x7*x8^2+6576*x6^2*x7*x8^2+24783*x1*x7^2*x8^2+7177*x2*x7^2*x8^2+25433*x3*x7^2*x8^2+6159*x4*x7^2*x8^2+20289*x5*x7^2*x8^2+792*x6*x7^2*x8^2+16192*x7^3*x8^2+23516*x2*x4*x8^3+28652*x4^2*x8^3+25682*x1*x5*x8^3+1245*x2*x5*x8^3+28023*x3*x5*x8^3+2675*x4*x5*x8^3+1778*x5^2*x8^3+21728*x1*x6*x8^3+16529*x2*x6*x8^3+20452*x3*x6*x8^3+3834*x4*x6*x8^3+13790*x5*x6*x8^3+8845*x6^2*x8^3+14001*x1*x7*x8^3+24306*x2*x7*x8^3+789*x3*x7*x8^3+13319*x4*x7*x8^3+20445*x5*x7*x8^3+6159*x6*x7*x8^3+10699*x7^2*x8^3+17487*x1*x8^4+27787*x2*x8^4+31071*x3*x8^4+24270*x4*x8^4+6592*x5*x8^4+5522*x6*x8^4+13008*x7*x8^4+9865*x8^5+29540*x5^2*x7^2+22552*x1*x6*x7^2+24911*x2*x6*x7^2+11398*x3*x6*x7^2+4340*x4*x6*x7^2+6760*x5*x6*x7^2+16763*x6^2*x7^2+1440*x1*x7^3+10472*x2*x7^3+31252*x3*x7^3+28107*x4*x7^3+1347*x5*x7^3+10456*x6*x7^3+18281*x7^4+4920*x3*x5*x6*x8+19144*x4*x5*x6*x8+22766*x5^2*x6*x8+5525*x1*x6^2*x8+30448*x2*x6^2*x8+3204*x3*x6^2*x8+23546*x4*x6^2*x8+11414*x5*x6^2*x8+15624*x6^3*x8+21005*x2*x4*x7*x8+25022*x1*x5*x7*x8+11452*x2*x5*x7*x8+27217*x3*x5*x7*x8+11374*x4*x5*x7*x8+2865*x5^2*x7*x8+20477*x1*x6*x7*x8+14274*x2*x6*x7*x8+28226*x3*x6*x7*x8+29582*x4*x6*x7*x8+12184*x5*x6*x7*x8+24346*x6^2*x7*x8+22696*x1*x7^2*x8+562*x2*x7^2*x8+28611*x3*x7^2*x8+11251*x4*x7^2*x8+13133*x5*x7^2*x8+28902*x6*x7^2*x8+31440*x7^3*x8+31307*x2*x4*x8^2+18889*x4^2*x8^2+16287*x1*x5*x8^2+641*x2*x5*x8^2+14477*x3*x5*x8^2+28373*x4*x5*x8^2+18331*x5^2*x8^2+11495*x1*x6*x8^2+6033*x2*x6*x8^2+6007*x3*x6*x8^2+16921*x4*x6*x8^2+12019*x5*x6*x8^2+7148*x6^2*x8^2+2888*x1*x7*x8^2+10874*x2*x7*x8^2+15649*x3*x7*x8^2+7773*x4*x7*x8^2+27060*x5*x7*x8^2+27372*x6*x7*x8^2+6106*x7^2*x8^2+27093*x1*x8^3+4409*x2*x8^3+8209*x3*x8^3+13398*x4*x8^3+8717*x5*x8^3+14348*x6*x8^3+14030*x7*x8^3+8667*x8^4+4009*x3*x5*x6+1293*x4*x5*x6+20966*x5^2*x6+13397*x1*x6^2+14648*x2*x6^2+8680*x3*x6^2+15379*x4*x6^2+14211*x5*x6^2+14208*x6^3+20178*x2*x4*x7+30725*x1*x5*x7+12370*x2*x5*x7+12495*x3*x5*x7+31706*x4*x5*x7+16066*x5^2*x7+28921*x1*x6*x7+18005*x2*x6*x7+5170*x3*x6*x7+22249*x4*x6*x7+4215*x5*x6*x7+18078*x6^2*x7+12767*x1*x7^2+6220*x2*x7^2+9552*x3*x7^2+16803*x4*x7^2+6625*x5*x7^2+16954*x6*x7^2+15526*x7^3+27614*x2*x4*x8+8927*x4^2*x8+13978*x1*x5*x8+29691*x2*x5*x8+12273*x3*x5*x8+18697*x4*x5*x8+25143*x5^2*x8+25543*x1*x6*x8+17693*x2*x6*x8+6636*x3*x6*x8+13718*x4*x6*x8+16469*x5*x6*x8+19975*x6^2*x8+359*x1*x7*x8+16596*x2*x7*x8+26106*x3*x7*x8+23391*x4*x7*x8+23552*x5*x7*x8+18214*x6*x7*x8+11331*x7^2*x8+10457*x1*x8^2+6607*x2*x8^2+24856*x3*x8^2+20724*x4*x8^2+9093*x5*x8^2+17565*x6*x8^2+13320*x7*x8^2+28677*x8^3+5414*x2*x4+6605*x4^2+28105*x1*x5+3921*x2*x5+10644*x3*x5+14777*x4*x5+24217*x5^2+6171*x1*x6+6542*x2*x6+1296*x3*x6+29848*x4*x6+16976*x5*x6+12974*x6^2+31885*x1*x7+15524*x2*x7+18538*x3*x7+15523*x4*x7+16804*x5*x7+5495*x6*x7+11701*x7^2+24626*x1*x8+12219*x2*x8+5375*x3*x8+9517*x4*x8+26009*x5*x8+8749*x6*x8+15852*x7*x8+10483*x8^2+15706*x1+12249*x2+20256*x3+31522*x4+15159*x5+2462*x6+22860*x7+23403*x8+16841
+1*x6*x7*x8^5+5497*x1*x8^6+30234*x2*x8^6+20358*x3*x8^6+16756*x4*x8^6+2745*x5*x8^6+14373*x6*x8^6+26460*x7*x8^6+9609*x8^7+16651*x2*x4*x8^4+31620*x4^2*x8^4+13110*x1*x5*x8^4+17512*x2*x5*x8^4+935*x3*x5*x8^4+10538*x4*x5*x8^4+4839*x5^2*x8^4+14842*x1*x6*x8^4+25728*x2*x6*x8^4+17215*x3*x6*x8^4+24913*x4*x6*x8^4+19642*x5*x6*x8^4+21747*x6^2*x8^4+18921*x1*x7*x8^4+10937*x2*x7*x8^4+12508*x3*x7*x8^4+21030*x4*x7*x8^4+11309*x5*x7*x8^4+14884*x6*x7*x8^4+23356*x7^2*x8^4+25555*x1*x8^5+31952*x2*x8^5+3650*x3*x8^5+11967*x4*x8^5+4934*x5*x8^5+23336*x6*x8^5+6777*x7*x8^5+29126*x8^6+5689*x3*x5*x6*x8^2+19557*x4*x5*x6*x8^2+28587*x5^2*x6*x8^2+13788*x1*x6^2*x8^2+15796*x2*x6^2*x8^2+19100*x3*x6^2*x8^2+26699*x4*x6^2*x8^2+9991*x5*x6^2*x8^2+26609*x6^3*x8^2+23418*x2*x4*x7*x8^2+31188*x1*x5*x7*x8^2+18860*x2*x5*x7*x8^2+21693*x3*x5*x7*x8^2+13374*x4*x5*x7*x8^2+16366*x5^2*x7*x8^2+2204*x1*x6*x7*x8^2+30875*x2*x6*x7*x8^2+17023*x3*x6*x7*x8^2+23520*x4*x6*x7*x8^2+17633*x5*x6*x7*x8^2+21192*x6^2*x7*x8^2+18104*x1*x7^2*x8^2+12047*x2*x7^2*x8^2+16298*x3*x7^2*x8^2+1625*x4*x7^2*x8^2+26986*x5*x7^2*x8^2+27592*x6*x7^2*x8^2+9683*x7^3*x8^2+31345*x2*x4*x8^3+11149*x4^2*x8^3+19725*x1*x5*x8^3+26218*x2*x5*x8^3+1277*x3*x5*x8^3+1250*x4*x5*x8^3+18292*x5^2*x8^3+30532*x1*x6*x8^3+7576*x2*x6*x8^3+29923*x3*x6*x8^3+1807*x4*x6*x8^3+16640*x5*x6*x8^3+16970*x6^2*x8^3+16235*x1*x7*x8^3+2386*x2*x7*x8^3+14273*x3*x7*x8^3+10355*x4*x7*x8^3+23447*x5*x7*x8^3+25785*x6*x7*x8^3+7286*x7^2*x8^3+19644*x1*x8^4+15731*x2*x8^4+14476*x3*x8^4+4699*x4*x8^4+28016*x5*x8^4+24515*x6*x8^4+6315*x7*x8^4+17882*x8^5+10130*x5^2*x7^2+26406*x1*x6*x7^2+2401*x2*x6*x7^2+16789*x3*x6*x7^2+19811*x4*x6*x7^2+11486*x5*x6*x7^2+8850*x6^2*x7^2+13538*x1*x7^3+6628*x2*x7^3+15751*x3*x7^3+2073*x4*x7^3+4450*x5*x7^3+12603*x6*x7^3+26945*x7^4+28550*x3*x5*x6*x8+31544*x4*x5*x6*x8+21450*x5^2*x6*x8+14870*x1*x6^2*x8+30644*x2*x6^2*x8+31283*x3*x6^2*x8+16863*x4*x6^2*x8+15900*x5*x6^2*x8+21222*x6^3*x8+5867*x2*x4*x7*x8+29774*x1*x5*x7*x8+9262*x2*x5*x7*x8+26690*x3*x5*x7*x8+16914*x4*x5*x7*x8+27713*x5^2*x7*x8+24957*x1*x6*x7*x8+19742*x2*x6*x7*x8+5565*x3*x6*x7*x8+31823*x4*x6*x7*x8+31717*x5*x6*x7*x8+26895*x6^2*x7*x8+85*x1*x7^2*x8+29124*x2*x7^2*x8+15151*x3*x7^2*x8+18469*x4*x7^2*x8+11658*x5*x7^2*x8+17634*x6*x7^2*x8+31811*x7^3*x8+9508*x2*x4*x8^2+25119*x4^2*x8^2+19000*x1*x5*x8^2+8628*x2*x5*x8^2+29137*x3*x5*x8^2+10757*x4*x5*x8^2+639*x5^2*x8^2+31574*x1*x6*x8^2+26847*x2*x6*x8^2+8911*x3*x6*x8^2+26979*x4*x6*x8^2+2120*x5*x6*x8^2+25434*x6^2*x8^2+9007*x1*x7*x8^2+1002*x2*x7*x8^2+28089*x3*x7*x8^2+21585*x4*x7*x8^2+24086*x5*x7*x8^2+22504*x6*x7*x8^2+17509*x7^2*x8^2+22499*x1*x8^3+28732*x2*x8^3+12511*x3*x8^3+20709*x4*x8^3+23796*x5*x8^3+26652*x6*x8^3+11445*x7*x8^3+17835*x8^4+19337*x3*x5*x6+12*x4*x5*x6+6739*x5^2*x6+4134*x1*x6^2+6210*x2*x6^2+30753*x3*x6^2+19666*x4*x6^2+28112*x5*x6^2+6392*x6^3+8421*x2*x4*x7+7627*x1*x5*x7+14243*x2*x5*x7+5361*x3*x5*x7+13203*x4*x5*x7+30609*x5^2*x7+78*x1*x6*x7+21862*x2*x6*x7+23089*x3*x6*x7+18641*x4*x6*x7+11725*x5*x6*x7+9282*x6^2*x7+24952*x1*x7^2+14268*x2*x7^2+20615*x3*x7^2+23103*x4*x7^2+11484*x5*x7^2+9743*x6*x7^2+17793*x7^3+14377*x2*x4*x8+126*x4^2*x8+21750*x1*x5*x8+21308*x2*x5*x8+15027*x3*x5*x8+15339*x4*x5*x8+28417*x5^2*x8+8051*x1*x6*x8+31564*x2*x6*x8+28481*x3*x6*x8+22615*x4*x6*x8+5179*x5*x6*x8+23044*x6^2*x8+5749*x1*x7*x8+2558*x2*x7*x8+8909*x3*x7*x8+23793*x4*x7*x8+5989*x5*x7*x8+10649*x6*x7*x8+8729*x7^2*x8+9877*x1*x8^2+30900*x2*x8^2+18379*x3*x8^2+8873*x4*x8^2+30271*x5*x8^2+3236*x6*x8^2+4766*x7*x8^2+11045*x8^3+14841*x2*x4+28757*x4^2+24816*x1*x5+11426*x2*x5+1341*x3*x5+26568*x4*x5+4587*x5^2+6023*x1*x6+21820*x2*x6+151*x3*x6+17136*x4*x6+27509*x5*x6+31436*x6^2+31343*x1*x7+29213*x2*x7+3517*x3*x7+29422*x4*x7+23670*x5*x7+27076*x6*x7+22078*x7^2+7653*x1*x8+9465*x2*x8+13589*x3*x8+12711*x4*x8+5240*x5*x8+12753*x6*x8+19132*x7*x8+24503*x8^2+4853*x1+13117*x2+12249*x3+25908*x4+30000*x5+10380*x6+5354*x7+10786*x8+2800
+1*x5*x7*x8^5+26327*x1*x8^6+11190*x2*x8^6+13884*x3*x8^6+419*x4*x8^6+751*x5*x8^6+213*x6*x8^6+1026*x7*x8^6+10522*x8^7+9784*x2*x4*x8^4+5578*x4^2*x8^4+2733*x1*x5*x8^4+4472*x2*x5*x8^4+22727*x3*x5*x8^4+21643*x4*x5*x8^4+5828*x5^2*x8^4+5651*x1*x6*x8^4+6557*x2*x6*x8^4+19479*x3*x6*x8^4+15762*x4*x6*x8^4+9755*x5*x6*x8^4+1840*x6^2*x8^4+3080*x1*x7*x8^4+4835*x2*x7*x8^4+24115*x3*x7*x8^4+7972*x4*x7*x8^4+26834*x5*x7*x8^4+5105*x6*x7*x8^4+13155*x7^2*x8^4+4727*x1*x8^5+20959*x2*x8^5+30728*x3*x8^5+5777*x4*x8^5+3352*x5*x8^5+10502*x6*x8^5+8467*x7*x8^5+8403*x8^6+30580*x3*x5*x6*x8^2+23319*x4*x5*x6*x8^2+10587*x5^2*x6*x8^2+31205*x1*x6^2*x8^2+11972*x2*x6^2*x8^2+29698*x3*x6^2*x8^2+22788*x4*x6^2*x8^2+22759*x5*x6^2*x8^2+18700*x6^3*x8^2+19444*x2*x4*x7*x8^2+26742*x1*x5*x7*x8^2+29100*x2*x5*x7*x8^2+20064*x3*x5*x7*x8^2+22842*x4*x5*x7*x8^2+8304*x5^2*x7*x8^2+9996*x1*x6*x7*x8^2+17570*x2*x6*x7*x8^2+21155*x3*x6*x7*x8^2+22432*x4*x6*x7*x8^2+14540*x5*x6*x7*x8^2+6832*x6^2*x7*x8^2+3051*x1*x7^2*x8^2+25787*x2*x7^2*x8^2+21315*x3*x7^2*x8^2+79*x4*x7^2*x8^2+8218*x5*x7^2*x8^2+16325*x6*x7^2*x8^2+19111*x7^3*x8^2+10470*x2*x4*x8^3+20412*x4^2*x8^3+4240*x1*x5*x8^3+27622*x2*x5*x8^3+14324*x3*x5*x8^3+25226*x4*x5*x8^3+24225*x5^2*x8^3+24929*x1*x6*x8^3+3756*x2*x6*x8^3+1278*x3*x6*x8^3+31665*x4*x6*x8^3+9873*x5*x6*x8^3+3527*x6^2*x8^3+6012*x1*x7*x8^3+10179*x2*x7*x8^3+17250*x3*x7*x8^3+10560*x4*x7*x8^3+14686*x5*x7*x8^3+20576*x6*x7*x8^3+15946*x7^2*x8^3+15837*x1*x8^4+18373*x2*x8^4+20158*x3*x8^4+23239*x4*x8^4+7881*x5*x8^4+16457*x6*x8^4+8577*x7*x8^4+17452*x8^5+23792*x5^2*x7^2+17398*x1*x6*x7^2+8712*x2*x6*x7^2+30913*x3*x6*x7^2+17589*x4*x6*x7^2+3300*x5*x6*x7^2+16722*x6^2*x7^2+3268*x1*x7^3+12551*x2*x7^3+15452*x3*x7^3+15637*x4*x7^3+6988*x5*x7^3+24670*x6*x7^3+20857*x7^4+9141*x3*x5*x6*x8+10893*x4*x5*x6*x8+22745*x5^2*x6*x8+23885*x1*x6^2*x8+27278*x2*x6^2*x8+446*x3*x6^2*x8+21582*x4*x6^2*x8+19609*x5*x6^2*x8+27044*x6^3*x8+4732*x2*x4*x7*x8+9872*x1*x5*x7*x8+7459*x2*x5*x7*x8+3670*x3*x5*x7*x8+24597*x4*x5*x7*x8+27900*x5^2*x7*x8+12914*x1*x6*x7*x8+14301*x2*x6*x7*x8+4920*x3*x6*x7*x8+3367*x4*x6*x7*x8+1381*x5*x6*x7*x8+17449*x6^2*x7*x8+391*x1*x7^2*x8+15601*x2*x7^2*x8+6514*x3*x7^2*x8+10071*x4*x7^2*x8+18143*x5*x7^2*x8+5900*x6*x7^2*x8+2269*x7^3*x8+9879*x2*x4*x8^2+22025*x4^2*x8^2+29905*x1*x5*x8^2+24450*x2*x5*x8^2+8707*x3*x5*x8^2+1659*x4*x5*x8^2+27046*x5^2*x8^2+27900*x1*x6*x8^2+18138*x2*x6*x8^2+29963*x3*x6*x8^2+10304*x4*x6*x8^2+28223*x5*x6*x8^2+15080*x6^2*x8^2+5095*x1*x7*x8^2+15790*x2*x7*x8^2+16036*x3*x7*x8^2+16549*x4*x7*x8^2+15809*x5*x7*x8^2+30451*x6*x7*x8^2+11913*x7^2*x8^2+28215*x1*x8^3+148*x2*x8^3+30749*x3*x8^3+7804*x4*x8^3+2734*x5*x8^3+25020*x6*x8^3+7795*x7*x8^3+7794*x8^4+28228*x3*x5*x6+19779*x4*x5*x6+26562*x5^2*x6+27493*x1*x6^2+19206*x2*x6^2+23455*x3*x6^2+15350*x4*x6^2+28467*x5*x6^2+31139*x6^3+8324*x2*x4*x7+13667*x1*x5*x7+23433*x2*x5*x7+29433*x3*x5*x7+3461*x4*x5*x7+21443*x5^2*x7+17522*x1*x6*x7+2023*x2*x6*x7+24966*x3*x6*x7+28398*x4*x6*x7+4723*x5*x6*x7+7113*x6^2*x7+18216*x1*x7^2+15276*x2*x7^2+13909*x3*x7^2+30403*x4*x7^2+9499*x5*x7^2+16230*x6*x7^2+26144*x7^3+11944*x2*x4*x8+15515*x4^2*x8+16111*x1*x5*x8+23111*x2*x5*x8+3837*x3*x5*x8+31097*x4*x5*x8+31193*x5^2*x8+18202*x1*x6*x8+19861*x2*x6*x8+3304*x3*x6*x8+6137*x4*x6*x8+6578*x5*x6*x8+16757*x6^2*x8+13267*x1*x7*x8+17621*x2*x7*x8+22138*x3*x7*x8+6397*x4*x7*x8+14377*x5*x7*x8+3376*x6*x7*x8+13101*x7^2*x8+19325*x1*x8^2+9208*x2*x8^2+18068*x3*x8^2+15361*x4*x8^2+25370*x5*x8^2+20977*x6*x8^2+27148*x7*x8^2+26746*x8^3+21767*x2*x4+4609*x4^2+15141*x1*x5+12018*x2*x5+2308*x3*x5+17533*x4*x5+450*x5^2+4237*x1*x6+17777*x2*x6+6426*x3*x6+31286*x4*x6+8364*x5*x6+12780*x6^2+21304*x1*x7+23857*x2*x7+22964*x3*x7+8914*x4*x7+28649*x5*x7+24979*x6*x7+24078*x7^2+3796*x1*x8+3304*x2*x8+22850*x3*x8+1323*x4*x8+31249*x5*x8+29263*x6*x8+30327*x7*x8+29795*x8^2+16528*x1+471*x2+1580*x3+21571*x4+17469*x5+14828*x6+8778*x7+21310*x8+15344
+1*x4*x7*x8^5+9440*x1*x8^6+3777*x2*x8^6+593*x3*x8^6+18021*x4*x8^6+26567*x5*x8^6+19587*x6*x8^6+14283*x7*x8^6+13109*x8^7+19621*x2*x4*x8^4+45*x4^2*x8^4+25149*x1*x5*x8^4+28759*x2*x5*x8^4+28597*x3*x5*x8^4+12635*x4*x5*x8^4+29030*x5^2*x8^4+15064*x1*x6*x8^4+28864*x2*x6*x8^4+19806*x3*x6*x8^4+16339*x4*x6*x8^4+19893*x5*x6*x8^4+26548*x6^2*x8^4+1582*x1*x7*x8^4+30130*x2*x7*x8^4+4536*x3*x7*x8^4+13056*x4*x7*x8^4+1960*x5*x7*x8^4+14415*x6*x7*x8^4+25057*x7^2*x8^4+3861*x1*x8^5+6601*x2*x8^5+17580*x3*x8^5+28665*x4*x8^5+3141*x5*x8^5+10484*x6*x8^5+26904*x7*x8^5+26806*x8^6+15559*x3*x5*x6*x8^2+13317*x4*x5*x6*x8^2+13717*x5^2*x6*x8^2+8926*x1*x6^2*x8^2+30948*x2*x6^2*x8^2+29732*x3*x6^2*x8^2+13104*x4*x6^2*x8^2+29658*x5*x6^2*x8^2+11571*x6^3*x8^2+23916*x2*x4*x7*x8^2+21963*x1*x5*x7*x8^2+25352*x2*x5*x7*x8^2+4906*x3*x5*x7*x8^2+28819*x4*x5*x7*x8^2+27896*x5^2*x7*x8^2+2261*x1*x6*x7*x8^2+24019*x2*x6*x7*x8^2+28808*x3*x6*x7*x8^2+3404*x4*x6*x7*x8^2+29112*x5*x6*x7*x8^2+7457*x6^2*x7*x8^2+6869*x1*x7^2*x8^2+13008*x2*x7^2*x8^2+30116*x3*x7^2*x8^2+27277*x4*x7^2*x8^2+21326*x5*x7^2*x8^2+1292*x6*x7^2*x8^2+12755*x7^3*x8^2+24145*x2*x4*x8^3+15529*x4^2*x8^3+6480*x1*x5*x8^3+31431*x2*x5*x8^3+10520*x3*x5*x8^3+24996*x4*x5*x8^3+22459*x5^2*x8^3+20790*x1*x6*x8^3+12233*x2*x6*x8^3+27674*x3*x6*x8^3+23438*x4*x6*x8^3+26124*x5*x6*x8^3+14184*x6^2*x8^3+12678*x1*x7*x8^3+14449*x2*x7*x8^3+1942*x3*x7*x8^3+19776*x4*x7*x8^3+14123*x5*x7*x8^3+28287*x6*x7*x8^3+10259*x7^2*x8^3+18562*x1*x8^4+4554*x2*x8^4+27001*x3*x8^4+12175*x4*x8^4+23087*x5*x8^4+15324*x6*x8^4+24891*x7*x8^4+15721*x8^5+26835*x5^2*x7^2+7207*x1*x6*x7^2+27819*x2*x6*x7^2+16496*x3*x6*x7^2+18152*x4*x6*x7^2+1564*x5*x6*x7^2+10159*x6^2*x7^2+9468*x1*x7^3+11469*x2*x7^3+21039*x3*x7^3+3144*x4*x7^3+6269*x5*x7^3+2842*x6*x7^3+2564*x7^4+30839*x3*x5*x6*x8+10508*x4*x5*x6*x8+25885*x5^2*x6*x8+5459*x1*x6^2*x8+25788*x2*x6^2*x8+15211*x3*x6^2*x8+30464*x4*x6^2*x8+5792*x5*x6^2*x8+11485*x6^3*x8+27304*x2*x4*x7*x8+25750*x1*x5*x7*x8+8432*x2*x5*x7*x8+2529*x3*x5*x7*x8+26743*x4*x5*x7*x8+22881*x5^2*x7*x8+436*x1*x6*x7*x8+10647*x2*x6*x7*x8+26868*x3*x6*x7*x8+22500*x4*x6*x7*x8+26169*x5*x6*x7*x8+18311*x6^2*x7*x8+17092*x1*x7^2*x8+20353*x2*x7^2*x8+9032*x3*x7^2*x8+22052*x4*x7^2*x8+22487*x5*x7^2*x8+29360*x6*x7^2*x8+29732*x7^3*x8+20664*x2*x4*x8^2+5750*x4^2*x8^2+14773*x1*x5*x8^2+14496*x2*x5*x8^2+15887*x3*x5*x8^2+13546*x4*x5*x8^2+23375*x5^2*x8^2+16058*x1*x6*x8^2+12034*x2*x6*x8^2+30245*x3*x6*x8^2+2037*x4*x6*x8^2+25990*x5*x6*x8^2+24808*x6^2*x8^2+546*x1*x7*x8^2+30870*x2*x7*x8^2+31991*x3*x7*x8^2+21390*x4*x7*x8^2+8938*x5*x7*x8^2+13347*x6*x7*x8^2+30128*x7^2*x8^2+255*x1*x8^3+8798*x2*x8^3+2631*x3*x8^3+11176*x4*x8^3+21140*x5*x8^3+17430*x6*x8^3+6461*x7*x8^3+30983*x8^4+15208*x3*x5*x6+29052*x4*x5*x6+21630*x5^2*x6+24633*x1*x6^2+1830*x2*x6^2+27401*x3*x6^2+6839*x4*x6^2+30706*x5*x6^2+8532*x6^3+9248*x2*x4*x7+16500*x1*x5*x7+22751*x2*x5*x7+16072*x3*x5*x7+24514*x4*x5*x7+28434*x5^2*x7+14149*x1*x6*x7+14797*x2*x6*x7+5440*x3*x6*x7+19994*x4*x6*x7+2982*x5*x6*x7+30759*x6^2*x7+14824*x1*x7^2+9554*x2*x7^2+21820*x3*x7^2+22356*x4*x7^2+29328*x5*x7^2+23345*x6*x7^2+5199*x7^3+11029*x2*x4*x8+27277*x4^2*x8+30593*x1*x5*x8+3213*x2*x5*x8+10456*x3*x5*x8+29348*x4*x5*x8+883*x5^2*x8+20471*x1*x6*x8+24208*x2*x6*x8+14469*x3*x6*x8+14358*x4*x6*x8+16733*x5*x6*x8+302*x6^2*x8+20718*x1*x7*x8+30701*x2*x7*x8+14422*x3*x7*x8+26750*x4*x7*x8+5241*x5*x7*x8+9116*x6*x7*x8+17322*x7^2*x8+22720*x1*x8^2+6402*x2*x8^2+25814*x3*x8^2+6147*x4*x8^2+8072*x5*x8^2+23528*x6*x8^2+5118*x7*x8^2+7136*x8^3+815*x2*x4+2760*x4^2+16166*x1*x5+23212*x2*x5+11431*x3*x5+15585*x4*x5+11829*x5^2+15692*x1*x6+1347*x2*x6+25526*x3*x6+2080*x4*x6+11866*x5*x6+14536*x6^2+16182*x1*x7+2*x2*x7+5519*x3*x7+3940*x4*x7+31584*x5*x7+861*x6*x7+1842*x7^2+23919*x1*x8+5271*x2*x8+27974*x3*x8+27302*x4*x8+17698*x5*x8+25498*x6*x8+10922*x7*x8+3257*x8^2+8399*x1+6621*x2+12535*x3+12933*x4+12090*x5+30742*x6+17309*x7+31272*x8+20247
+1*x3*x7*x8^5+31079*x1*x8^6+12430*x2*x8^6+22362*x3*x8^6+15122*x4*x8^6+8127*x5*x8^6+4689*x6*x8^6+30242*x7*x8^6+8996*x8^7+22175*x2*x4*x8^4+5341*x4^2*x8^4+194*x1*x5*x8^4+14330*x2*x5*x8^4+7719*x3*x5*x8^4+3213*x4*x5*x8^4+12252*x5^2*x8^4+6634*x1*x6*x8^4+28203*x2*x6*x8^4+20672*x3*x6*x8^4+144*x4*x6*x8^4+29044*x5*x6*x8^4+13456*x6^2*x8^4+13415*x1*x7*x8^4+9560*x2*x7*x8^4+767*x3*x7*x8^4+2118*x4*x7*x8^4+24402*x5*x7*x8^4+36*x6*x7*x8^4+3423*x7^2*x8^4+31231*x1*x8^5+5927*x2*x8^5+30376*x3*x8^5+27613*x4*x8^5+13888*x5*x8^5+18717*x6*x8^5+24910*x7*x8^5+24078*x8^6+11537*x3*x5*x6*x8^2+6179*x4*x5*x6*x8^2+30729*x5^2*x6*x8^2+16779*x1*x6^2*x8^2+3700*x2*x6^2*x8^2+25450*x3*x6^2*x8^2+26976*x4*x6^2*x8^2+30919*x5*x6^2*x8^2+3345*x6^3*x8^2+21608*x2*x4*x7*x8^2+7404*x1*x5*x7*x8^2+28257*x2*x5*x7*x8^2+16541*x3*x5*x7*x8^2+3961*x4*x5*x7*x8^2+27912*x5^2*x7*x8^2+24208*x1*x6*x7*x8^2+23492*x2*x6*x7*x8^2+17728*x3*x6*x7*x8^2+19344*x4*x6*x7*x8^2+6301*x5*x6*x7*x8^2+6148*x6^2*x7*x8^2+935*x1*x7^2*x8^2+30132*x2*x7^2*x8^2+23845*x3*x7^2*x8^2+2866*x4*x7^2*x8^2+8475*x5*x7^2*x8^2+21535*x6*x7^2*x8^2+9394*x7^3*x8^2+2180*x2*x4*x8^3+29921*x4^2*x8^3+24360*x1*x5*x8^3+18657*x2*x5*x8^3+24977*x3*x5*x8^3+16483*x4*x5*x8^3+1715*x5^2*x8^3+9822*x1*x6*x8^3+26975*x2*x6*x8^3+20388*x3*x6*x8^3+21044*x4*x6*x8^3+4122*x5*x6*x8^3+12069*x6^2*x8^3+13908*x1*x7*x8^3+15425*x2*x7*x8^3+23311*x3*x7*x8^3+8312*x4*x7*x8^3+27923*x5*x7*x8^3+4035*x6*x7*x8^3+25090*x7^2*x8^3+13804*x1*x8^4+15947*x2*x8^4+3815*x3*x8^4+24642*x4*x8^4+6119*x5*x8^4+3605*x6*x8^4+10920*x7*x8^4+10867*x8^5+15704*x5^2*x7^2+2722*x1*x6*x7^2+23252*x2*x6*x7^2+8923*x3*x6*x7^2+24654*x4*x6*x7^2+18328*x5*x6*x7^2+29788*x6^2*x7^2+23650*x1*x7^3+17563*x2*x7^3+17590*x3*x7^3+11565*x4*x7^3+18935*x5*x7^3+21381*x6*x7^3+967*x7^4+18098*x3*x5*x6*x8+6264*x4*x5*x6*x8+23181*x5^2*x6*x8+6*x1*x6^2*x8+1061*x2*x6^2*x8+9697*x3*x6^2*x8+8004*x4*x6^2*x8+18211*x5*x6^2*x8+28112*x6^3*x8+9620*x2*x4*x7*x8+29759*x1*x5*x7*x8+4972*x2*x5*x7*x8+10814*x3*x5*x7*x8+4011*x4*x5*x7*x8+8338*x5^2*x7*x8+4275*x1*x6*x7*x8+15528*x2*x6*x7*x8+21604*x3*x6*x7*x8+13001*x4*x6*x7*x8+28063*x5*x6*x7*x8+7301*x6^2*x7*x8+7666*x1*x7^2*x8+15611*x2*x7^2*x8+29677*x3*x7^2*x8+17972*x4*x7^2*x8+15426*x5*x7^2*x8+12976*x6*x7^2*x8+9585*x7^3*x8+19964*x2*x4*x8^2+14254*x4^2*x8^2+10253*x1*x5*x8^2+20360*x2*x5*x8^2+30462*x3*x5*x8^2+17283*x4*x5*x8^2+19553*x5^2*x8^2+11216*x1*x6*x8^2+17347*x2*x6*x8^2+28909*x3*x6*x8^2+18480*x4*x6*x8^2+30069*x5*x6*x8^2+12168*x6^2*x8^2+1429*x1*x7*x8^2+26437*x2*x7*x8^2+30769*x3*x7*x8^2+29181*x4*x7*x8^2+22765*x5*x7*x8^2+11635*x6*x7*x8^2+15606*x7^2*x8^2+1369*x1*x8^3+13468*x2*x8^3+29167*x3*x8^3+16631*x4*x8^3+28632*x5*x8^3+25631*x6*x8^3+774*x7*x8^3+11851*x8^4+3082*x3*x5*x6+31964*x4*x5*x6+16104*x5^2*x6+10252*x1*x6^2+10820*x2*x6^2+4558*x3*x6^2+5173*x4*x6^2+30144*x5*x6^2+17591*x6^3+28087*x2*x4*x7+7078*x1*x5*x7+21856*x2*x5*x7+2339*x3*x5*x7+29626*x4*x5*x7+21192*x5^2*x7+15527*x1*x6*x7+28104*x2*x6*x7+27300*x3*x6*x7+3385*x4*x6*x7+8630*x5*x6*x7+8660*x6^2*x7+7695*x1*x7^2+23373*x2*x7^2+8183*x3*x7^2+10043*x4*x7^2+17642*x5*x7^2+10704*x6*x7^2+16038*x7^3+19520*x2*x4*x8+6021*x4^2*x8+26238*x1*x5*x8+19619*x2*x5*x8+17185*x3*x5*x8+19723*x4*x5*x8+17032*x5^2*x8+29358*x1*x6*x8+25672*x2*x6*x8+7602*x3*x6*x8+5416*x4*x6*x8+6175*x5*x6*x8+71*x6^2*x8+16866*x1*x7*x8+4411*x2*x7*x8+10706*x3*x7*x8+27105*x4*x7*x8+28163*x5*x7*x8+24065*x6*x7*x8+21465*x7^2*x8+2617*x1*x8^2+20592*x2*x8^2+17991*x3*x8^2+6752*x4*x8^2+1647*x5*x8^2+7033*x6*x8^2+21132*x7*x8^2+26796*x8^3+21405*x2*x4+17267*x4^2+4686*x1*x5+24223*x2*x5+31173*x3*x5+8721*x4*x5+13410*x5^2+23159*x1*x6+26745*x2*x6+2729*x3*x6+30804*x4*x6+17618*x5*x6+28178*x6^2+10432*x1*x7+6583*x2*x7+19273*x3*x7+20248*x4*x7+13766*x5*x7+22903*x6*x7+29426*x7^2+20596*x1*x8+29879*x2*x8+21854*x3*x8+16624*x4*x8+9593*x5*x8+24082*x6*x8+8408*x7*x8+12783*x8^2+16890*x1+28019*x2+14510*x3+14742*x4+22593*x5+21802*x6+16496*x7+21701*x8+26094
+1*x2*x7*x8^5+15805*x1*x8^6+31678*x2*x8^6+24861*x3*x8^6+21207*x4*x8^6+2675*x5*x8^6+16540*x6*x8^6+204*x7*x8^6+11671*x8^7+4807*x2*x4*x8^4+31138*x4^2*x8^4+17069*x1*x5*x8^4+31834*x2*x5*x8^4+15744*x3*x5*x8^4+6500*x4*x5*x8^4+22209*x5^2*x8^4+23205*x1*x6*x8^4+5729*x2*x6*x8^4+16321*x3*x6*x8^4+8499*x4*x6*x8^4+5700*x5*x6*x8^4+28377*x6^2*x8^4+9682*x1*x7*x8^4+2076*x2*x7*x8^4+13198*x3*x7*x8^4+26557*x4*x7*x8^4+27148*x5*x7*x8^4+17598*x6*x7*x8^4+20570*x7^2*x8^4+24684*x1*x8^5+13611*x2*x8^5+8705*x3*x8^5+19598*x4*x8^5+31195*x5*x8^5+30590*x6*x8^5+2807*x7*x8^5+22131*x8^6+410*x3*x5*x6*x8^2+16060*x4*x5*x6*x8^2+1205*x5^2*x6*x8^2+4116*x1*x6^2*x8^2+30728*x2*x6^2*x8^2+14878*x3*x6^2*x8^2+15756*x4*x6^2*x8^2+97*x5*x6^2*x8^2+18049*x6^3*x8^2+7937*x2*x4*x7*x8^2+11497*x1*x5*x7*x8^2+12191*x2*x5*x7*x8^2+403*x3*x5*x7*x8^2+27691*x4*x5*x7*x8^2+5988*x5^2*x7*x8^2+27895*x1*x6*x7*x8^2+13690*x2*x6*x7*x8^2+11096*x3*x6*x7*x8^2+25993*x4*x6*x7*x8^2+24939*x5*x6*x7*x8^2+59*x6^2*x7*x8^2+20278*x1*x7^2*x8^2+3992*x2*x7^2*x8^2+30845*x3*x7^2*x8^2+8599*x4*x7^2*x8^2+13502*x5*x7^2*x8^2+22234*x6*x7^2*x8^2+9290*x7^3*x8^2+1087*x2*x4*x8^3+2260*x4^2*x8^3+26866*x1*x5*x8^3+14467*x2*x5*x8^3+9630*x3*x5*x8^3+11716*x4*x5*x8^3+27123*x5^2*x8^3+16711*x1*x6*x8^3+23051*x2*x6*x8^3+6187*x3*x6*x8^3+11769*x4*x6*x8^3+15671*x5*x6*x8^3+13307*x6^2*x8^3+31224*x1*x7*x8^3+26696*x2*x7*x8^3+2835*x3*x7*x8^3+7243*x4*x7*x8^3+6985*x5*x7*x8^3+19760*x6*x7*x8^3+8739*x7^2*x8^3+7721*x1*x8^4+29092*x2*x8^4+18167*x3*x8^4+3453*x4*x8^4+11925*x5*x8^4+8976*x6*x8^4+11621*x7*x8^4+5233*x8^5+28240*x5^2*x7^2+6468*x1*x6*x7^2+27623*x2*x6*x7^2+12900*x3*x6*x7^2+7806*x4*x6*x7^2+9769*x5*x6*x7^2+7764*x6^2*x7^2+25106*x1*x7^3+785*x2*x7^3+18062*x3*x7^3+13826*x4*x7^3+27507*x5*x7^3+7579*x6*x7^3+30170*x7^4+14490*x3*x5*x6*x8+3154*x4*x5*x6*x8+373*x5^2*x6*x8+5495*x1*x6^2*x8+13639*x2*x6^2*x8+6479*x3*x6^2*x8+12290*x4*x6^2*x8+19391*x5*x6^2*x8+24110*x6^3*x8+29277*x2*x4*x7*x8+7285*x1*x5*x7*x8+20805*x2*x5*x7*x8+17949*x3*x5*x7*x8+3275*x4*x5*x7*x8+28797*x5^2*x7*x8+26810*x1*x6*x7*x8+2457*x2*x6*x7*x8+26255*x3*x6*x7*x8+5109*x4*x6*x7*x8+18747*x5*x6*x7*x8+18831*x6^2*x7*x8+19680*x1*x7^2*x8+2921*x2*x7^2*x8+25125*x3*x7^2*x8+17102*x4*x7^2*x8+21422*x5*x7^2*x8+1813*x6*x7^2*x8+976*x7^3*x8+29118*x2*x4*x8^2+22468*x4^2*x8^2+25281*x1*x5*x8^2+9602*x2*x5*x8^2+31341*x3*x5*x8^2+3062*x4*x5*x8^2+13648*x5^2*x8^2+31236*x1*x6*x8^2+7225*x2*x6*x8^2+27115*x3*x6*x8^2+2928*x4*x6*x8^2+431*x5*x6*x8^2+10740*x6^2*x8^2+30803*x1*x7*x8^2+18650*x2*x7*x8^2+4452*x3*x7*x8^2+10526*x4*x7*x8^2+6580*x5*x7*x8^2+5906*x6*x7*x8^2+31973*x7^2*x8^2+31054*x1*x8^3+20493*x2*x8^3+30949*x3*x8^3+27859*x4*x8^3+9716*x5*x8^3+27474*x6*x8^3+7883*x7*x8^3+22369*x8^4+31121*x3*x5*x6+25495*x4*x5*x6+24651*x5^2*x6+21821*x1*x6^2+13896*x2*x6^2+8483*x3*x6^2+31252*x4*x6^2+28340*x5*x6^2+26260*x6^3+13774*x2*x4*x7+25752*x1*x5*x7+1400*x2*x5*x7+22049*x3*x5*x7+13134*x4*x5*x7+5270*x5^2*x7+14367*x1*x6*x7+29329*x2*x6*x7+3559*x3*x6*x7+1245*x4*x6*x7+30356*x5*x6*x7+17699*x6^2*x7+16159*x1*x7^2+15079*x2*x7^2+21635*x3*x7^2+27435*x4*x7^2+19607*x5*x7^2+26859*x6*x7^2+2593*x7^3+5558*x2*x4*x8+12826*x4^2*x8+9817*x1*x5*x8+22305*x2*x5*x8+28702*x3*x5*x8+11247*x4*x5*x8+20872*x5^2*x8+27005*x1*x6*x8+23433*x2*x6*x8+3110*x3*x6*x8+15699*x4*x6*x8+20452*x5*x6*x8+17778*x6^2*x8+23896*x1*x7*x8+8027*x2*x7*x8+7144*x3*x7*x8+4523*x4*x7*x8+29617*x5*x7*x8+6981*x6*x7*x8+20358*x7^2*x8+11540*x1*x8^2+4333*x2*x8^2+24290*x3*x8^2+21110*x4*x8^2+16890*x5*x8^2+21785*x6*x8^2+11542*x7*x8^2+7182*x8^3+26612*x2*x4+26195*x4^2+24932*x1*x5+7708*x2*x5+29681*x3*x5+1434*x4*x5+13972*x5^2+11638*x1*x6+28837*x2*x6+11802*x3*x6+9800*x4*x6+13133*x5*x6+31069*x6^2+27114*x1*x7+13263*x2*x7+11896*x3*x7+3439*x4*x7+497*x5*x7+7333*x6*x7+17953*x7^2+9565*x1*x8+4623*x2*x8+21215*x3*x8+24135*x4*x8+21031*x5*x8+27252*x6*x8+38*x7*x8+9886*x8^2+30132*x1+14920*x2+12253*x3+2472*x4+13130*x5+15114*x6+5778*x7+27814*x8+20334
+1*x1*x7*x8^5+3162*x1*x8^6+799*x2*x8^6+4237*x3*x8^6+16022*x4*x8^6+16957*x5*x8^6+23440*x6*x8^6+11312*x7*x8^6+2945*x8^7+2523*x2*x4*x8^4+6074*x4^2*x8^4+30086*x1*x5*x8^4+4301*x2*x5*x8^4+11885*x3*x5*x8^4+10338*x4*x5*x8^4+19395*x5^2*x8^4+9712*x1*x6*x8^4+29078*x2*x6*x8^4+16239*x3*x6*x8^4+5993*x4*x6*x8^4+20565*x5*x6*x8^4+28025*x6^2*x8^4+24314*x1*x7*x8^4+21161*x2*x7*x8^4+18875*x3*x7*x8^4+7919*x4*x7*x8^4+19880*x5*x7*x8^4+20964*x6*x7*x8^4+6869*x7^2*x8^4+24561*x1*x8^5+10331*x2*x8^5+18797*x3*x8^5+29009*x4*x8^5+10720*x5*x8^5+12280*x6*x8^5+15761*x7*x8^5+7323*x8^6+12687*x3*x5*x6*x8^2+20169*x4*x5*x6*x8^2+8870*x5^2*x6*x8^2+19718*x1*x6^2*x8^2+17974*x2*x6^2*x8^2+30284*x3*x6^2*x8^2+25244*x4*x6^2*x8^2+22664*x5*x6^2*x8^2+2393*x6^3*x8^2+22665*x2*x4*x7*x8^2+10614*x1*x5*x7*x8^2+29715*x2*x5*x7*x8^2+13018*x3*x5*x7*x8^2+1374*x4*x5*x7*x8^2+26925*x5^2*x7*x8^2+14118*x1*x6*x7*x8^2+11165*x2*x6*x7*x8^2+24103*x3*x6*x7*x8^2+29945*x4*x6*x7*x8^2+21072*x5*x6*x7*x8^2+8737*x6^2*x7*x8^2+14131*x1*x7^2*x8^2+11822*x2*x7^2*x8^2+8826*x3*x7^2*x8^2+2428*x4*x7^2*x8^2+6934*x5*x7^2*x8^2+18664*x6*x7^2*x8^2+5650*x7^3*x8^2+25966*x2*x4*x8^3+29073*x4^2*x8^3+28694*x1*x5*x8^3+18122*x2*x5*x8^3+22594*x3*x5*x8^3+15910*x4*x5*x8^3+11356*x5^2*x8^3+24814*x1*x6*x8^3+26138*x2*x6*x8^3+27642*x3*x6*x8^3+19117*x4*x6*x8^3+26291*x5*x6*x8^3+10712*x6^2*x8^3+5913*x1*x7*x8^3+5231*x2*x7*x8^3+26796*x3*x7*x8^3+12168*x4*x7*x8^3+7794*x5*x7*x8^3+16251*x6*x7*x8^3+17860*x7^2*x8^3+24998*x1*x8^4+30277*x2*x8^4+26728*x3*x8^4+3668*x4*x8^4+11828*x5*x8^4+20333*x6*x8^4+25153*x7*x8^4+30585*x8^5+17495*x5^2*x7^2+20144*x1*x6*x7^2+6964*x2*x6*x7^2+30798*x3*x6*x7^2+26189*x4*x6*x7^2+25238*x5*x6*x7^2+21672*x6^2*x7^2+12340*x1*x7^3+2260*x2*x7^3+23283*x3*x7^3+19301*x4*x7^3+14398*x5*x7^3+1550*x6*x7^3+17457*x7^4+29877*x3*x5*x6*x8+9348*x4*x5*x6*x8+22282*x5^2*x6*x8+15670*x1*x6^2*x8+14015*x2*x6^2*x8+30542*x3*x6^2*x8+16792*x4*x6^2*x8+8772*x5*x6^2*x8+17927*x6^3*x8+6374*x2*x4*x7*x8+14482*x1*x5*x7*x8+24166*x2*x5*x7*x8+19184*x3*x5*x7*x8+22358*x4*x5*x7*x8+29614*x5^2*x7*x8+31590*x1*x6*x7*x8+10893*x2*x6*x7*x8+29335*x3*x6*x7*x8+6771*x4*x6*x7*x8+11463*x5*x6*x7*x8+25259*x6^2*x7*x8+18103*x1*x7^2*x8+22176*x2*x7^2*x8+7681*x3*x7^2*x8+4837*x4*x7^2*x8+10252*x5*x7^2*x8+13702*x6*x7^2*x8+3259*x7^3*x8+16153*x2*x4*x8^2+16842*x4^2*x8^2+18039*x1*x5*x8^2+22134*x2*x5*x8^2+23569*x3*x5*x8^2+6229*x4*x5*x8^2+4305*x5^2*x8^2+30868*x1*x6*x8^2+16836*x2*x6*x8^2+17915*x3*x6*x8^2+18383*x4*x6*x8^2+17380*x5*x6*x8^2+30207*x6^2*x8^2+12183*x1*x7*x8^2+9194*x2*x7*x8^2+7477*x3*x7*x8^2+26676*x4*x7*x8^2+22220*x5*x7*x8^2+30050*x6*x7*x8^2+5443*x7^2*x8^2+16196*x1*x8^3+14037*x2*x8^3+18004*x3*x8^3+30930*x4*x8^3+28639*x5*x8^3+24234*x6*x8^3+28789*x7*x8^3+23653*x8^4+10888*x3*x5*x6+1164*x4*x5*x6+11974*x5^2*x6+20027*x1*x6^2+18163*x2*x6^2+19199*x3*x6^2+12143*x4*x6^2+11266*x5*x6^2+15732*x6^3+2505*x2*x4*x7+16701*x1*x5*x7+16346*x2*x5*x7+13428*x3*x5*x7+27829*x4*x5*x7+9228*x5^2*x7+14564*x1*x6*x7+19710*x2*x6*x7+5441*x3*x6*x7+22650*x4*x6*x7+9503*x5*x6*x7+13425*x6^2*x7+12036*x1*x7^2+10002*x2*x7^2+17774*x3*x7^2+11191*x4*x7^2+30378*x5*x7^2+4198*x6*x7^2+12528*x7^3+19631*x2*x4*x8+18876*x4^2*x8+5733*x1*x5*x8+25392*x2*x5*x8+24715*x3*x5*x8+26621*x4*x5*x8+4945*x5^2*x8+7338*x1*x6*x8+5854*x2*x6*x8+28270*x3*x6*x8+12657*x4*x6*x8+10315*x5*x6*x8+18469*x6^2*x8+23986*x1*x7*x8+16063*x2*x7*x8+8700*x3*x7*x8+1289*x4*x7*x8+2416*x5*x7*x8+7145*x6*x7*x8+3576*x7^2*x8+20757*x1*x8^2+66*x2*x8^2+6286*x3*x8^2+18766*x4*x8^2+27651*x5*x8^2+22873*x6*x8^2+11853*x7*x8^2+26802*x8^3+637*x2*x4+24758*x4^2+30055*x1*x5+6719*x2*x5+15176*x3*x5+27115*x4*x5+9375*x5^2+7414*x1*x6+25740*x2*x6+18035*x3*x6+28477*x4*x6+5476*x5*x6+22147*x6^2+13174*x1*x7+10088*x2*x7+14983*x3*x7+21656*x4*x7+21891*x5*x7+7543*x6*x7+18786*x7^2+305*x1*x8+31725*x2*x8+25443*x3*x8+5439*x4*x8+14500*x5*x8+21270*x6*x8+21223*x7*x8+23293*x8^2+22171*x1+21120*x2+12865*x3+20261*x4+28802*x5+18459*x6+7927*x7+1723*x8+15183
+1*x6^2*x8^5+28796*x1*x8^6+4218*x2*x8^6+14197*x3*x8^6+1008*x4*x8^6+11674*x5*x8^6+11465*x6*x8^6+22929*x7*x8^6+26741*x8^7+15438*x2*x4*x8^4+6827*x4^2*x8^4+15809*x1*x5*x8^4+29182*x2*x5*x8^4+25388*x3*x5*x8^4+10432*x4*x5*x8^4+5234*x5^2*x8^4+31474*x1*x6*x8^4+2000*x2*x6*x8^4+27543*x3*x6*x8^4+26921*x4*x6*x8^4+14825*x5*x6*x8^4+26184*x6^2*x8^4+10838*x1*x7*x8^4+8515*x2*x7*x8^4+25398*x3*x7*x8^4+16842*x4*x7*x8^4+23032*x5*x7*x8^4+18535*x6*x7*x8^4+20104*x7^2*x8^4+23538*x1*x8^5+1682*x2*x8^5+6781*x3*x8^5+10872*x4*x8^5+19537*x5*x8^5+3007*x6*x8^5+17983*x7*x8^5+5074*x8^6+27077*x3*x5*x6*x8^2+20367*x4*x5*x6*x8^2+967*x5^2*x6*x8^2+11825*x1*x6^2*x8^2+14478*x2*x6^2*x8^2+8473*x3*x6^2*x8^2+24225*x4*x6^2*x8^2+26577*x5*x6^2*x8^2+23420*x6^3*x8^2+31699*x2*x4*x7*x8^2+29745*x1*x5*x7*x8^2+13529*x2*x5*x7*x8^2+19383*x3*x5*x7*x8^2+8093*x4*x5*x7*x8^2+20073*x5^2*x7*x8^2+30720*x1*x6*x7*x8^2+1193*x2*x6*x7*x8^2+2507*x3*x6*x7*x8^2+2432*x4*x6*x7*x8^2+26448*x5*x6*x7*x8^2+17212*x6^2*x7*x8^2+4907*x1*x7^2*x8^2+20622*x2*x7^2*x8^2+18761*x3*x7^2*x8^2+19312*x4*x7^2*x8^2+18304*x5*x7^2*x8^2+2045*x6*x7^2*x8^2+15993*x7^3*x8^2+14155*x2*x4*x8^3+27495*x4^2*x8^3+10419*x1*x5*x8^3+20094*x2*x5*x8^3+2291*x3*x5*x8^3+28978*x4*x5*x8^3+1674*x5^2*x8^3+18503*x1*x6*x8^3+28681*x2*x6*x8^3+20957*x3*x6*x8^3+14124*x4*x6*x8^3+6410*x5*x6*x8^3+6151*x6^2*x8^3+31507*x1*x7*x8^3+11849*x2*x7*x8^3+1481*x3*x7*x8^3+30720*x4*x7*x8^3+12835*x5*x7*x8^3+2391*x6*x7*x8^3+4569*x7^2*x8^3+14281*x1*x8^4+82*x2*x8^4+26738*x3*x8^4+1872*x4*x8^4+31898*x5*x8^4+7799*x6*x8^4+2463*x7*x8^4+7918*x8^5+7932*x5^2*x7^2+2186*x1*x6*x7^2+27382*x2*x6*x7^2+11420*x3*x6*x7^2+11176*x4*x6*x7^2+2420*x5*x6*x7^2+15608*x6^2*x7^2+4665*x1*x7^3+1976*x2*x7^3+3637*x3*x7^3+21815*x4*x7^3+24074*x5*x7^3+31637*x6*x7^3+9115*x7^4+24180*x3*x5*x6*x8+22200*x4*x5*x6*x8+18525*x5^2*x6*x8+19415*x1*x6^2*x8+2470*x2*x6^2*x8+23745*x3*x6^2*x8+2768*x4*x6^2*x8+2431*x5*x6^2*x8+30793*x6^3*x8+10697*x2*x4*x7*x8+9022*x1*x5*x7*x8+25489*x2*x5*x7*x8+27644*x3*x5*x7*x8+24190*x4*x5*x7*x8+3559*x5^2*x7*x8+19223*x1*x6*x7*x8+29131*x2*x6*x7*x8+13892*x3*x6*x7*x8+30945*x4*x6*x7*x8+24565*x5*x6*x7*x8+4850*x6^2*x7*x8+31574*x1*x7^2*x8+15172*x2*x7^2*x8+13067*x3*x7^2*x8+13313*x4*x7^2*x8+29926*x5*x7^2*x8+26983*x6*x7^2*x8+21917*x7^3*x8+9621*x2*x4*x8^2+21444*x4^2*x8^2+20658*x1*x5*x8^2+23196*x2*x5*x8^2+5430*x3*x5*x8^2+31315*x4*x5*x8^2+2112*x5^2*x8^2+54*x1*x6*x8^2+3264*x2*x6*x8^2+28885*x3*x6*x8^2+6814*x4*x6*x8^2+10569*x5*x6*x8^2+4321*x6^2*x8^2+17308*x1*x7*x8^2+28143*x2*x7*x8^2+15425*x3*x7*x8^2+7087*x4*x7*x8^2+14635*x5*x7*x8^2+6484*x6*x7*x8^2+25934*x7^2*x8^2+24634*x1*x8^3+24111*x2*x8^3+12255*x3*x8^3+26470*x4*x8^3+27827*x5*x8^3+5204*x6*x8^3+12496*x7*x8^3+2212*x8^4+24309*x3*x5*x6+2992*x4*x5*x6+5588*x5^2*x6+21895*x1*x6^2+18700*x2*x6^2+7149*x3*x6^2+3144*x4*x6^2+1164*x5*x6^2+5864*x6^3+9213*x2*x4*x7+15993*x1*x5*x7+20199*x2*x5*x7+21524*x3*x5*x7+21079*x4*x5*x7+17018*x5^2*x7+20233*x1*x6*x7+22665*x2*x6*x7+25861*x3*x6*x7+3601*x4*x6*x7+11120*x5*x6*x7+26912*x6^2*x7+4281*x1*x7^2+10621*x2*x7^2+31194*x3*x7^2+21383*x4*x7^2+27887*x5*x7^2+24329*x6*x7^2+17742*x7^3+18328*x2*x4*x8+28511*x4^2*x8+24773*x1*x5*x8+11614*x2*x5*x8+21694*x3*x5*x8+30012*x4*x5*x8+23860*x5^2*x8+1761*x1*x6*x8+692*x2*x6*x8+28846*x3*x6*x8+29857*x4*x6*x8+15461*x5*x6*x8+614*x6^2*x8+1203*x1*x7*x8+2129*x2*x7*x8+26980*x3*x7*x8+14412*x4*x7*x8+27489*x5*x7*x8+5854*x6*x7*x8+21437*x7^2*x8+23155*x1*x8^2+26505*x2*x8^2+26666*x3*x8^2+9082*x4*x8^2+12121*x5*x8^2+13005*x6*x8^2+25635*x7*x8^2+6211*x8^3+10283*x2*x4+19461*x4^2+16804*x1*x5+15661*x2*x5+26013*x3*x5+22423*x4*x5+19966*x5^2+7768*x1*x6+10258*x2*x6+1399*x3*x6+17143*x4*x6+1432*x5*x6+31790*x6^2+8506*x1*x7+25750*x2*x7+7353*x3*x7+19369*x4*x7+29257*x5*x7+5705*x6*x7+7523*x7^2+30058*x1*x8+10510*x2*x8+23625*x3*x8+24568*x4*x8+8895*x5*x8+28101*x6*x8+3488*x7*x8+6894*x8^2+23258*x1+7311*x2+4408*x3+19103*x4+25560*x5+4709*x6+12972*x7+2416*x8+22548
+1*x5*x6*x8^5+45*x1*x8^6+9706*x2*x8^6+7155*x3*x8^6+26308*x4*x8^6+7974*x5*x8^6+13728*x6*x8^6+22264*x7*x8^6+25416*x8^7+6726*x2*x4*x8^4+18204*x4^2*x8^4+3472*x1*x5*x8^4+16095*x2*x5*x8^4+7719*x3*x5*x8^4+8856*x4*x5*x8^4+28123*x5^2*x8^4+7769*x1*x6*x8^4+6818*x2*x6*x8^4+28534*x3*x6*x8^4+23302*x4*x6*x8^4+25328*x5*x6*x8^4+22749*x6^2*x8^4+6596*x1*x7*x8^4+12081*x2*x7*x8^4+22718*x3*x7*x8^4+29935*x4*x7*x8^4+19766*x5*x7*x8^4+30219*x6*x7*x8^4+3211*x7^2*x8^4+8266*x1*x8^5+1774*x2*x8^5+17185*x3*x8^5+23526*x4*x8^5+2480*x5*x8^5+29423*x6*x8^5+16936*x7*x8^5+26885*x8^6+15393*x3*x5*x6*x8^2+6141*x4*x5*x6*x8^2+14609*x5^2*x6*x8^2+222*x1*x6^2*x8^2+5414*x2*x6^2*x8^2+27746*x3*x6^2*x8^2+1526*x4*x6^2*x8^2+1082*x5*x6^2*x8^2+17042*x6^3*x8^2+9178*x2*x4*x7*x8^2+18700*x1*x5*x7*x8^2+23219*x2*x5*x7*x8^2+8565*x3*x5*x7*x8^2+29767*x4*x5*x7*x8^2+28592*x5^2*x7*x8^2+28442*x1*x6*x7*x8^2+3735*x2*x6*x7*x8^2+9905*x3*x6*x7*x8^2+8520*x4*x6*x7*x8^2+28327*x5*x6*x7*x8^2+25328*x6^2*x7*x8^2+17710*x1*x7^2*x8^2+3471*x2*x7^2*x8^2+21391*x3*x7^2*x8^2+11094*x4*x7^2*x8^2+13485*x5*x7^2*x8^2+6137*x6*x7^2*x8^2+28823*x7^3*x8^2+28725*x2*x4*x8^3+990*x4^2*x8^3+17274*x1*x5*x8^3+20531*x2*x5*x8^3+21372*x3*x5*x8^3+4152*x4*x5*x8^3+28977*x5^2*x8^3+7599*x1*x6*x8^3+21042*x2*x6*x8^3+20224*x3*x6*x8^3+11535*x4*x6*x8^3+797*x5*x6*x8^3+13001*x6^2*x8^3+14345*x1*x7*x8^3+6582*x2*x7*x8^3+12092*x3*x7*x8^3+18665*x4*x7*x8^3+23174*x5*x7*x8^3+15290*x6*x7*x8^3+16292*x7^2*x8^3+8971*x1*x8^4+23276*x2*x8^4+9927*x3*x8^4+3852*x4*x8^4+16085*x5*x8^4+15076*x6*x8^4+29444*x7*x8^4+13698*x8^5+4350*x5^2*x7^2+5674*x1*x6*x7^2+31880*x2*x6*x7^2+2096*x3*x6*x7^2+11712*x4*x6*x7^2+11383*x5*x6*x7^2+1733*x6^2*x7^2+28834*x1*x7^3+24119*x2*x7^3+19083*x3*x7^3+16779*x4*x7^3+19900*x5*x7^3+23036*x6*x7^3+23701*x7^4+25451*x3*x5*x6*x8+30235*x4*x5*x6*x8+5510*x5^2*x6*x8+3514*x1*x6^2*x8+6058*x2*x6^2*x8+31192*x3*x6^2*x8+14534*x4*x6^2*x8+19636*x5*x6^2*x8+519*x6^3*x8+16071*x2*x4*x7*x8+29783*x1*x5*x7*x8+23699*x2*x5*x7*x8+9700*x3*x5*x7*x8+27000*x4*x5*x7*x8+2619*x5^2*x7*x8+17888*x1*x6*x7*x8+2226*x2*x6*x7*x8+325*x3*x6*x7*x8+20653*x4*x6*x7*x8+6374*x5*x6*x7*x8+5152*x6^2*x7*x8+19515*x1*x7^2*x8+893*x2*x7^2*x8+23272*x3*x7^2*x8+6247*x4*x7^2*x8+15999*x5*x7^2*x8+24222*x6*x7^2*x8+16277*x7^3*x8+29545*x2*x4*x8^2+1036*x4^2*x8^2+5632*x1*x5*x8^2+22969*x2*x5*x8^2+24826*x3*x5*x8^2+232*x4*x5*x8^2+9095*x5^2*x8^2+2941*x1*x6*x8^2+17963*x2*x6*x8^2+21648*x3*x6*x8^2+881*x4*x6*x8^2+25057*x5*x6*x8^2+15589*x6^2*x8^2+12901*x1*x7*x8^2+15336*x2*x7*x8^2+16067*x3*x7*x8^2+15251*x4*x7*x8^2+11192*x5*x7*x8^2+26235*x6*x7*x8^2+15416*x7^2*x8^2+26113*x1*x8^3+27783*x2*x8^3+31263*x3*x8^3+9666*x4*x8^3+241*x5*x8^3+12699*x6*x8^3+1156*x7*x8^3+15908*x8^4+3456*x3*x5*x6+31457*x4*x5*x6+1022*x5^2*x6+20756*x1*x6^2+12929*x2*x6^2+14933*x3*x6^2+28729*x4*x6^2+28508*x5*x6^2+27600*x6^3+31362*x2*x4*x7+3160*x1*x5*x7+31009*x2*x5*x7+3606*x3*x5*x7+30230*x4*x5*x7+23554*x5^2*x7+23739*x1*x6*x7+22938*x2*x6*x7+22730*x3*x6*x7+7180*x4*x6*x7+14218*x5*x6*x7+9944*x6^2*x7+6832*x1*x7^2+20519*x2*x7^2+15376*x3*x7^2+10254*x4*x7^2+30789*x5*x7^2+16725*x6*x7^2+10906*x7^3+1064*x2*x4*x8+346*x4^2*x8+27989*x1*x5*x8+23085*x2*x5*x8+19274*x3*x5*x8+2331*x4*x5*x8+29550*x5^2*x8+7929*x1*x6*x8+21266*x2*x6*x8+6491*x3*x6*x8+8864*x4*x6*x8+13489*x5*x6*x8+19592*x6^2*x8+6857*x1*x7*x8+29628*x2*x7*x8+13744*x3*x7*x8+8804*x4*x7*x8+13350*x5*x7*x8+12813*x6*x7*x8+16389*x7^2*x8+3491*x1*x8^2+14614*x2*x8^2+22338*x3*x8^2+30806*x4*x8^2+29124*x5*x8^2+16930*x6*x8^2+15981*x7*x8^2+19352*x8^3+27504*x2*x4+6260*x4^2+5599*x1*x5+24908*x2*x5+24397*x3*x5+31977*x4*x5+22755*x5^2+7389*x1*x6+22400*x2*x6+25187*x3*x6+13469*x4*x6+3265*x5*x6+4474*x6^2+3713*x1*x7+21725*x2*x7+17445*x3*x7+18650*x4*x7+22198*x5*x7+28522*x6*x7+682*x7^2+25599*x1*x8+13615*x2*x8+185*x3*x8+15181*x4*x8+26859*x5*x8+26234*x6*x8+5555*x7*x8+10384*x8^2+9299*x1+13430*x2+7098*x3+9108*x4+29554*x5+17469*x6+26150*x7+23540*x8+5946
+1*x4*x6*x8^5+6758*x1*x8^6+30059*x2*x8^6+15216*x3*x8^6+24435*x4*x8^6+15649*x5*x8^6+28112*x6*x8^6+17724*x7*x8^6+4842*x8^7+18549*x2*x4*x8^4+4014*x4^2*x8^4+28738*x1*x5*x8^4+12444*x2*x5*x8^4+14828*x3*x5*x8^4+2757*x4*x5*x8^4+7543*x5^2*x8^4+19597*x1*x6*x8^4+27346*x2*x6*x8^4+1380*x3*x6*x8^4+2769*x4*x6*x8^4+16259*x5*x6*x8^4+14673*x6^2*x8^4+21432*x1*x7*x8^4+25300*x2*x7*x8^4+31758*x3*x7*x8^4+2844*x4*x7*x8^4+15489*x5*x7*x8^4+8705*x6*x7*x8^4+8083*x7^2*x8^4+8839*x1*x8^5+19931*x2*x8^5+5483*x3*x8^5+23712*x4*x8^5+24632*x5*x8^5+15842*x6*x8^5+15144*x7*x8^5+12643*x8^6+7772*x3*x5*x6*x8^2+14248*x4*x5*x6*x8^2+26962*x5^2*x6*x8^2+146*x1*x6^2*x8^2+20451*x2*x6^2*x8^2+9843*x3*x6^2*x8^2+7385*x4*x6^2*x8^2+28653*x5*x6^2*x8^2+9429*x6^3*x8^2+27283*x2*x4*x7*x8^2+1483*x1*x5*x7*x8^2+12964*x2*x5*x7*x8^2+17088*x3*x5*x7*x8^2+11248*x4*x5*x7*x8^2+8057*x5^2*x7*x8^2+21073*x1*x6*x7*x8^2+17815*x2*x6*x7*x8^2+3729*x3*x6*x7*x8^2+21967*x4*x6*x7*x8^2+28836*x5*x6*x7*x8^2+27003*x6^2*x7*x8^2+31040*x1*x7^2*x8^2+12959*x2*x7^2*x8^2+2147*x3*x7^2*x8^2+10629*x4*x7^2*x8^2+28*x5*x7^2*x8^2+17224*x6*x7^2*x8^2+29743*x7^3*x8^2+21986*x2*x4*x8^3+11692*x4^2*x8^3+22072*x1*x5*x8^3+17264*x2*x5*x8^3+21168*x3*x5*x8^3+10681*x4*x5*x8^3+5956*x5^2*x8^3+28971*x1*x6*x8^3+19981*x2*x6*x8^3+5789*x3*x6*x8^3+27084*x4*x6*x8^3+8811*x5*x6*x8^3+5058*x6^2*x8^3+20289*x1*x7*x8^3+22336*x2*x7*x8^3+17757*x3*x7*x8^3+14278*x4*x7*x8^3+31352*x5*x7*x8^3+24052*x6*x7*x8^3+16502*x7^2*x8^3+12101*x1*x8^4+8822*x2*x8^4+28020*x3*x8^4+3582*x4*x8^4+19462*x5*x8^4+16517*x6*x8^4+1637*x7*x8^4+6473*x8^5+11965*x5^2*x7^2+23255*x1*x6*x7^2+17197*x2*x6*x7^2+15368*x3*x6*x7^2+1975*x4*x6*x7^2+2318*x5*x6*x7^2+23550*x6^2*x7^2+6430*x1*x7^3+19785*x2*x7^3+5201*x3*x7^3+11927*x4*x7^3+7155*x5*x7^3+8611*x6*x7^3+20011*x7^4+24212*x3*x5*x6*x8+15399*x4*x5*x6*x8+4207*x5^2*x6*x8+13154*x1*x6^2*x8+13150*x2*x6^2*x8+16608*x3*x6^2*x8+6951*x4*x6^2*x8+17066*x5*x6^2*x8+26998*x6^3*x8+26579*x2*x4*x7*x8+27765*x1*x5*x7*x8+5362*x2*x5*x7*x8+24383*x3*x5*x7*x8+24516*x4*x5*x7*x8+23066*x5^2*x7*x8+23414*x1*x6*x7*x8+15770*x2*x6*x7*x8+10938*x3*x6*x7*x8+6337*x4*x6*x7*x8+4986*x5*x6*x7*x8+16690*x6^2*x7*x8+26077*x1*x7^2*x8+18895*x2*x7^2*x8+17222*x3*x7^2*x8+29504*x4*x7^2*x8+26385*x5*x7^2*x8+11160*x6*x7^2*x8+5636*x7^3*x8+29819*x2*x4*x8^2+31133*x4^2*x8^2+25652*x1*x5*x8^2+22946*x2*x5*x8^2+7190*x3*x5*x8^2+17922*x4*x5*x8^2+21375*x5^2*x8^2+23463*x1*x6*x8^2+22571*x2*x6*x8^2+17613*x3*x6*x8^2+30826*x4*x6*x8^2+27805*x5*x6*x8^2+17340*x6^2*x8^2+21038*x1*x7*x8^2+31328*x2*x7*x8^2+25532*x3*x7*x8^2+17875*x4*x7*x8^2+219*x5*x7*x8^2+7601*x6*x7*x8^2+22728*x7^2*x8^2+30992*x1*x8^3+3832*x2*x8^3+21442*x3*x8^3+4942*x4*x8^3+13257*x5*x8^3+29386*x6*x8^3+14218*x7*x8^3+9141*x8^4+6190*x3*x5*x6+3688*x4*x5*x6+26472*x5^2*x6+9664*x1*x6^2+15709*x2*x6^2+122*x3*x6^2+25841*x4*x6^2+17568*x5*x6^2+26268*x6^3+22247*x2*x4*x7+25538*x1*x5*x7+8619*x2*x5*x7+20630*x3*x5*x7+668*x4*x5*x7+13964*x5^2*x7+26389*x1*x6*x7+19559*x2*x6*x7+19722*x3*x6*x7+3951*x4*x6*x7+16748*x5*x6*x7+13185*x6^2*x7+11093*x1*x7^2+20974*x2*x7^2+20007*x3*x7^2+31419*x4*x7^2+10565*x5*x7^2+29959*x6*x7^2+5311*x7^3+19348*x2*x4*x8+29992*x4^2*x8+6433*x1*x5*x8+1164*x2*x5*x8+24506*x3*x5*x8+8440*x4*x5*x8+31524*x5^2*x8+22421*x1*x6*x8+30507*x2*x6*x8+17430*x3*x6*x8+4473*x4*x6*x8+10887*x5*x6*x8+7447*x6^2*x8+30626*x1*x7*x8+3715*x2*x7*x8+7824*x3*x7*x8+24834*x4*x7*x8+12625*x5*x7*x8+8012*x6*x7*x8+8335*x7^2*x8+3043*x1*x8^2+7282*x2*x8^2+24005*x3*x8^2+1295*x4*x8^2+31750*x5*x8^2+13124*x6*x8^2+22727*x7*x8^2+1785*x8^3+8749*x2*x4+6777*x4^2+18702*x1*x5+19626*x2*x5+31005*x3*x5+20871*x4*x5+15217*x5^2+29455*x1*x6+7369*x2*x6+5282*x3*x6+28720*x4*x6+2316*x5*x6+16149*x6^2+2657*x1*x7+29258*x2*x7+6932*x3*x7+29285*x4*x7+16958*x5*x7+13884*x6*x7+920*x7^2+30725*x1*x8+18169*x2*x8+9943*x3*x8+26669*x4*x8+1835*x5*x8+6861*x6*x8+20306*x7*x8+591*x8^2+27436*x1+8314*x2+14212*x3+10792*x4+24481*x5+17398*x6+18941*x7+5464*x8+23903
+1*x3*x6*x8^5+14309*x1*x8^6+12405*x2*x8^6+24907*x3*x8^6+13815*x4*x8^6+26634*x5*x8^6+25750*x6*x8^6+13925*x7*x8^6+12170*x8^7+31111*x2*x4*x8^4+15519*x4^2*x8^4+5752*x1*x5*x8^4+13818*x2*x5*x8^4+14026*x3*x5*x8^4+6840*x4*x5*x8^4+3339*x5^2*x8^4+9942*x1*x6*x8^4+26873*x2*x6*x8^4+15679*x3*x6*x8^4+17497*x4*x6*x8^4+30483*x5*x6*x8^4+10554*x6^2*x8^4+22836*x1*x7*x8^4+16031*x2*x7*x8^4+20677*x3*x7*x8^4+5061*x4*x7*x8^4+30057*x5*x7*x8^4+23187*x6*x7*x8^4+333*x7^2*x8^4+17990*x1*x8^5+25789*x2*x8^5+16749*x3*x8^5+26123*x4*x8^5+19922*x5*x8^5+5385*x6*x8^5+4791*x7*x8^5+21868*x8^6+7337*x3*x5*x6*x8^2+30795*x4*x5*x6*x8^2+26581*x5^2*x6*x8^2+10187*x1*x6^2*x8^2+30886*x2*x6^2*x8^2+17892*x3*x6^2*x8^2+2777*x4*x6^2*x8^2+8425*x5*x6^2*x8^2+25497*x6^3*x8^2+2783*x2*x4*x7*x8^2+6061*x1*x5*x7*x8^2+8642*x2*x5*x7*x8^2+3486*x3*x5*x7*x8^2+24720*x4*x5*x7*x8^2+24268*x5^2*x7*x8^2+8132*x1*x6*x7*x8^2+5496*x2*x6*x7*x8^2+3710*x3*x6*x7*x8^2+30533*x4*x6*x7*x8^2+28782*x5*x6*x7*x8^2+19369*x6^2*x7*x8^2+20901*x1*x7^2*x8^2+4632*x2*x7^2*x8^2+28411*x3*x7^2*x8^2+14060*x4*x7^2*x8^2+27034*x5*x7^2*x8^2+5796*x6*x7^2*x8^2+20020*x7^3*x8^2+9909*x2*x4*x8^3+5458*x4^2*x8^3+21440*x1*x5*x8^3+24514*x2*x5*x8^3+30145*x3*x5*x8^3+6130*x4*x5*x8^3+6049*x5^2*x8^3+1254*x1*x6*x8^3+9751*x2*x6*x8^3+12838*x3*x6*x8^3+13124*x4*x6*x8^3+3721*x5*x6*x8^3+17661*x6^2*x8^3+17818*x1*x7*x8^3+22321*x2*x7*x8^3+2951*x3*x7*x8^3+28374*x4*x7*x8^3+4892*x5*x7*x8^3+19962*x6*x7*x8^3+5036*x7^2*x8^3+25536*x1*x8^4+7877*x2*x8^4+30204*x3*x8^4+17187*x4*x8^4+2256*x5*x8^4+1219*x6*x8^4+8049*x7*x8^4+23549*x8^5+12231*x5^2*x7^2+4713*x1*x6*x7^2+136*x2*x6*x7^2+29692*x3*x6*x7^2+9321*x4*x6*x7^2+15983*x5*x6*x7^2+25690*x6^2*x7^2+10095*x1*x7^3+3576*x2*x7^3+20290*x3*x7^3+24533*x4*x7^3+28267*x5*x7^3+5458*x6*x7^3+20539*x7^4+31823*x3*x5*x6*x8+10595*x4*x5*x6*x8+10434*x5^2*x6*x8+27109*x1*x6^2*x8+5752*x2*x6^2*x8+7974*x3*x6^2*x8+14676*x4*x6^2*x8+22779*x5*x6^2*x8+25646*x6^3*x8+10831*x2*x4*x7*x8+9873*x1*x5*x7*x8+24502*x2*x5*x7*x8+3211*x3*x5*x7*x8+22785*x4*x5*x7*x8+22782*x5^2*x7*x8+29777*x1*x6*x7*x8+16862*x2*x6*x7*x8+3948*x3*x6*x7*x8+2031*x4*x6*x7*x8+1377*x5*x6*x7*x8+23051*x6^2*x7*x8+2212*x1*x7^2*x8+19112*x2*x7^2*x8+29567*x3*x7^2*x8+29776*x4*x7^2*x8+21222*x5*x7^2*x8+22202*x6*x7^2*x8+31180*x7^3*x8+8463*x2*x4*x8^2+16327*x4^2*x8^2+20190*x1*x5*x8^2+3042*x2*x5*x8^2+15271*x3*x5*x8^2+29841*x4*x5*x8^2+31629*x5^2*x8^2+13245*x1*x6*x8^2+16316*x2*x6*x8^2+23631*x3*x6*x8^2+19227*x4*x6*x8^2+30610*x5*x6*x8^2+23783*x6^2*x8^2+22772*x1*x7*x8^2+22137*x2*x7*x8^2+2749*x3*x7*x8^2+11034*x4*x7*x8^2+20096*x5*x7*x8^2+24723*x6*x7*x8^2+22901*x7^2*x8^2+26674*x1*x8^3+25847*x2*x8^3+20363*x3*x8^3+30458*x4*x8^3+9693*x5*x8^3+14785*x6*x8^3+31763*x7*x8^3+17670*x8^4+18728*x3*x5*x6+18923*x4*x5*x6+4803*x5^2*x6+25027*x1*x6^2+15000*x2*x6^2+4354*x3*x6^2+11869*x4*x6^2+8261*x5*x6^2+6145*x6^3+27382*x2*x4*x7+25138*x1*x5*x7+21133*x2*x5*x7+31441*x3*x5*x7+25413*x4*x5*x7+17652*x5^2*x7+664*x1*x6*x7+7520*x2*x6*x7+3923*x3*x6*x7+14714*x4*x6*x7+30185*x5*x6*x7+1284*x6^2*x7+714*x1*x7^2+21572*x2*x7^2+4828*x3*x7^2+18847*x4*x7^2+29192*x5*x7^2+30748*x6*x7^2+2128*x7^3+2052*x2*x4*x8+17562*x4^2*x8+28056*x1*x5*x8+16359*x2*x5*x8+17107*x3*x5*x8+4953*x4*x5*x8+7215*x5^2*x8+31600*x1*x6*x8+9599*x2*x6*x8+29574*x3*x6*x8+8103*x4*x6*x8+31539*x5*x6*x8+19966*x6^2*x8+28531*x1*x7*x8+29638*x2*x7*x8+7502*x3*x7*x8+5349*x4*x7*x8+29064*x5*x7*x8+7745*x6*x7*x8+19411*x7^2*x8+17498*x1*x8^2+14051*x2*x8^2+13115*x3*x8^2+19316*x4*x8^2+22510*x5*x8^2+18293*x6*x8^2+10800*x7*x8^2+12701*x8^3+6512*x2*x4+18989*x4^2+17295*x1*x5+28628*x2*x5+18614*x3*x5+24366*x4*x5+9707*x5^2+2904*x1*x6+8729*x2*x6+15978*x3*x6+17964*x4*x6+15260*x5*x6+23142*x6^2+7321*x1*x7+19707*x2*x7+7865*x3*x7+8705*x4*x7+11549*x5*x7+3459*x6*x7+26917*x7^2+17363*x1*x8+4757*x2*x8+981*x3*x8+18027*x4*x8+9028*x5*x8+12278*x6*x8+2646*x7*x8+22055*x8^2+21760*x1+7216*x2+25887*x3+11793*x4+29493*x5+31217*x6+11482*x7+1903*x8+17091
+1*x2*x6*x8^5+31477*x1*x8^6+24967*x2*x8^6+2568*x3*x8^6+10325*x4*x8^6+6656*x5*x8^6+509*x6*x8^6+16332*x7*x8^6+5044*x8^7+17139*x2*x4*x8^4+24668*x4^2*x8^4+8192*x1*x5*x8^4+27886*x2*x5*x8^4+9271*x3*x5*x8^4+21665*x4*x5*x8^4+20860*x5^2*x8^4+23210*x1*x6*x8^4+1007*x2*x6*x8^4+5898*x3*x6*x8^4+23056*x4*x6*x8^4+22612*x5*x6*x8^4+10123*x6^2*x8^4+7551*x1*x7*x8^4+6768*x2*x7*x8^4+24860*x3*x7*x8^4+23161*x4*x7*x8^4+3326*x5*x7*x8^4+8207*x6*x7*x8^4+31777*x7^2*x8^4+1593*x1*x8^5+3107*x2*x8^5+30987*x3*x8^5+31465*x4*x8^5+25250*x5*x8^5+30759*x6*x8^5+30074*x7*x8^5+26152*x8^6+24110*x3*x5*x6*x8^2+10569*x4*x5*x6*x8^2+10915*x5^2*x6*x8^2+26637*x1*x6^2*x8^2+23324*x2*x6^2*x8^2+22182*x3*x6^2*x8^2+20622*x4*x6^2*x8^2+23424*x5*x6^2*x8^2+22835*x6^3*x8^2+18426*x2*x4*x7*x8^2+21331*x1*x5*x7*x8^2+28907*x2*x5*x7*x8^2+9869*x3*x5*x7*x8^2+18046*x4*x5*x7*x8^2+28530*x5^2*x7*x8^2+24222*x1*x6*x7*x8^2+17029*x2*x6*x7*x8^2+25264*x3*x6*x7*x8^2+11379*x4*x6*x7*x8^2+12204*x5*x6*x7*x8^2+28062*x6^2*x7*x8^2+10739*x1*x7^2*x8^2+23208*x2*x7^2*x8^2+21067*x3*x7^2*x8^2+22884*x4*x7^2*x8^2+29546*x5*x7^2*x8^2+3887*x6*x7^2*x8^2+17253*x7^3*x8^2+24199*x2*x4*x8^3+2029*x4^2*x8^3+16361*x1*x5*x8^3+1893*x2*x5*x8^3+28626*x3*x5*x8^3+13855*x4*x5*x8^3+20025*x5^2*x8^3+21308*x1*x6*x8^3+18332*x2*x6*x8^3+62*x3*x6*x8^3+31637*x4*x6*x8^3+10290*x5*x6*x8^3+6712*x6^2*x8^3+9628*x1*x7*x8^3+30126*x2*x7*x8^3+30823*x3*x7*x8^3+25711*x4*x7*x8^3+29347*x5*x7*x8^3+2265*x6*x7*x8^3+4570*x7^2*x8^3+6555*x1*x8^4+8400*x2*x8^4+7612*x3*x8^4+18486*x4*x8^4+24992*x5*x8^4+23579*x6*x8^4+6662*x7*x8^4+24001*x8^5+1271*x5^2*x7^2+22663*x1*x6*x7^2+15445*x2*x6*x7^2+2513*x3*x6*x7^2+25869*x4*x6*x7^2+9337*x5*x6*x7^2+26150*x6^2*x7^2+40*x1*x7^3+25079*x2*x7^3+15618*x3*x7^3+18647*x4*x7^3+1318*x5*x7^3+5475*x6*x7^3+13294*x7^4+22995*x3*x5*x6*x8+30289*x4*x5*x6*x8+30836*x5^2*x6*x8+23535*x1*x6^2*x8+18986*x2*x6^2*x8+17793*x3*x6^2*x8+1091*x4*x6^2*x8+27783*x5*x6^2*x8+4412*x6^3*x8+19540*x2*x4*x7*x8+6377*x1*x5*x7*x8+23493*x2*x5*x7*x8+22910*x3*x5*x7*x8+9877*x4*x5*x7*x8+16922*x5^2*x7*x8+12486*x1*x6*x7*x8+23259*x2*x6*x7*x8+5861*x3*x6*x7*x8+408*x4*x6*x7*x8+9226*x5*x6*x7*x8+4931*x6^2*x7*x8+30315*x1*x7^2*x8+8481*x2*x7^2*x8+30840*x3*x7^2*x8+29123*x4*x7^2*x8+2661*x5*x7^2*x8+21699*x6*x7^2*x8+19245*x7^3*x8+21444*x2*x4*x8^2+24175*x4^2*x8^2+30834*x1*x5*x8^2+5499*x2*x5*x8^2+24710*x3*x5*x8^2+9861*x4*x5*x8^2+14064*x5^2*x8^2+23223*x1*x6*x8^2+17613*x2*x6*x8^2+31926*x3*x6*x8^2+14044*x4*x6*x8^2+6221*x5*x6*x8^2+19908*x6^2*x8^2+25525*x1*x7*x8^2+28091*x2*x7*x8^2+27840*x3*x7*x8^2+18841*x4*x7*x8^2+20747*x5*x7*x8^2+21603*x6*x7*x8^2+25056*x7^2*x8^2+3086*x1*x8^3+3318*x2*x8^3+11802*x3*x8^3+23289*x4*x8^3+24380*x5*x8^3+13058*x6*x8^3+15505*x7*x8^3+14942*x8^4+8431*x3*x5*x6+22535*x4*x5*x6+4605*x5^2*x6+23108*x1*x6^2+22484*x2*x6^2+17996*x3*x6^2+6501*x4*x6^2+18762*x5*x6^2+31041*x6^3+29322*x2*x4*x7+23306*x1*x5*x7+28361*x2*x5*x7+568*x3*x5*x7+12071*x4*x5*x7+24351*x5^2*x7+5971*x1*x6*x7+22727*x2*x6*x7+27263*x3*x6*x7+1593*x4*x6*x7+5543*x5*x6*x7+3507*x6^2*x7+16110*x1*x7^2+21963*x2*x7^2+4020*x3*x7^2+24165*x4*x7^2+24708*x5*x7^2+28036*x6*x7^2+26057*x7^3+16645*x2*x4*x8+6768*x4^2*x8+10825*x1*x5*x8+10080*x2*x5*x8+13467*x3*x5*x8+8873*x4*x5*x8+8463*x5^2*x8+25182*x1*x6*x8+13326*x2*x6*x8+10136*x3*x6*x8+17008*x4*x6*x8+26763*x5*x6*x8+25321*x6^2*x8+24010*x1*x7*x8+19702*x2*x7*x8+13662*x3*x7*x8+3431*x4*x7*x8+20209*x5*x7*x8+28945*x6*x7*x8+18944*x7^2*x8+14774*x1*x8^2+6394*x2*x8^2+13620*x3*x8^2+28959*x4*x8^2+5179*x5*x8^2+23673*x6*x8^2+25867*x7*x8^2+23810*x8^3+26552*x2*x4+19558*x4^2+7989*x1*x5+16030*x2*x5+9528*x3*x5+5791*x4*x5+15509*x5^2+12015*x1*x6+5306*x2*x6+2954*x3*x6+11008*x4*x6+14822*x5*x6+8562*x6^2+11756*x1*x7+21165*x2*x7+663*x3*x7+13551*x4*x7+15420*x5*x7+26237*x6*x7+8020*x7^2+10147*x1*x8+28502*x2*x8+26621*x3*x8+17415*x4*x8+31040*x5*x8+16110*x6*x8+13266*x7*x8+28153*x8^2+17970*x1+4537*x2+10563*x3+28505*x4+20611*x5+8962*x6+13092*x7+5298*x8+11367
+1*x1*x6*x8^5+18419*x1*x8^6+14506*x2*x8^6+31845*x3*x8^6+1097*x4*x8^6+7003*x5*x8^6+12384*x6*x8^6+22074*x7*x8^6+21605*x8^7+23328*x2*x4*x8^4+22896*x4^2*x8^4+8*x1*x5*x8^4+19483*x2*x5*x8^4+9554*x3*x5*x8^4+17369*x4*x5*x8^4+22671*x5^2*x8^4+27831*x1*x6*x8^4+8984*x2*x6*x8^4+3274*x3*x6*x8^4+12638*x4*x6*x8^4+26196*x5*x6*x8^4+16898*x6^2*x8^4+5609*x1*x7*x8^4+24843*x2*x7*x8^4+15685*x3*x7*x8^4+7601*x4*x7*x8^4+26441*x5*x7*x8^4+8259*x6*x7*x8^4+12211*x7^2*x8^4+7731*x1*x8^5+6109*x2*x8^5+8883*x3*x8^5+5747*x4*x8^5+4911*x5*x8^5+21787*x6*x8^5+11353*x7*x8^5+25353*x8^6+13672*x3*x5*x6*x8^2+27449*x4*x5*x6*x8^2+30554*x5^2*x6*x8^2+24362*x1*x6^2*x8^2+19842*x2*x6^2*x8^2+700*x3*x6^2*x8^2+21719*x4*x6^2*x8^2+2368*x5*x6^2*x8^2+30509*x6^3*x8^2+7293*x2*x4*x7*x8^2+2129*x1*x5*x7*x8^2+2687*x2*x5*x7*x8^2+27342*x3*x5*x7*x8^2+12*x4*x5*x7*x8^2+7357*x5^2*x7*x8^2+11937*x1*x6*x7*x8^2+4204*x2*x6*x7*x8^2+12722*x3*x6*x7*x8^2+21784*x4*x6*x7*x8^2+13684*x5*x6*x7*x8^2+4948*x6^2*x7*x8^2+19694*x1*x7^2*x8^2+21920*x2*x7^2*x8^2+19546*x3*x7^2*x8^2+24056*x4*x7^2*x8^2+10882*x5*x7^2*x8^2+10067*x6*x7^2*x8^2+6437*x7^3*x8^2+22473*x2*x4*x8^3+28711*x4^2*x8^3+9832*x1*x5*x8^3+2831*x2*x5*x8^3+655*x3*x5*x8^3+9849*x4*x5*x8^3+20946*x5^2*x8^3+7109*x1*x6*x8^3+17781*x2*x6*x8^3+23391*x3*x6*x8^3+7892*x4*x6*x8^3+4754*x5*x6*x8^3+23347*x6^2*x8^3+4879*x1*x7*x8^3+21214*x2*x7*x8^3+204*x3*x7*x8^3+22370*x4*x7*x8^3+28224*x5*x7*x8^3+20225*x6*x7*x8^3+10822*x7^2*x8^3+27035*x1*x8^4+28001*x2*x8^4+10867*x3*x8^4+21566*x4*x8^4+26715*x5*x8^4+28165*x6*x8^4+26678*x7*x8^4+2928*x8^5+13231*x5^2*x7^2+3191*x1*x6*x7^2+17542*x2*x6*x7^2+13696*x3*x6*x7^2+31679*x4*x6*x7^2+3639*x5*x6*x7^2+31189*x6^2*x7^2+6272*x1*x7^3+24307*x2*x7^3+24291*x3*x7^3+13085*x4*x7^3+7000*x5*x7^3+8928*x6*x7^3+20848*x7^4+29414*x3*x5*x6*x8+5702*x4*x5*x6*x8+7873*x5^2*x6*x8+9633*x1*x6^2*x8+2293*x2*x6^2*x8+27399*x3*x6^2*x8+13821*x4*x6^2*x8+8823*x5*x6^2*x8+13204*x6^3*x8+6279*x2*x4*x7*x8+11548*x1*x5*x7*x8+30307*x2*x5*x7*x8+18602*x3*x5*x7*x8+31063*x4*x5*x7*x8+30262*x5^2*x7*x8+23525*x1*x6*x7*x8+16680*x2*x6*x7*x8+6373*x3*x6*x7*x8+30595*x4*x6*x7*x8+10245*x5*x6*x7*x8+27188*x6^2*x7*x8+21933*x1*x7^2*x8+688*x2*x7^2*x8+30342*x3*x7^2*x8+23991*x4*x7^2*x8+14559*x5*x7^2*x8+3457*x6*x7^2*x8+13236*x7^3*x8+22890*x2*x4*x8^2+30118*x4^2*x8^2+18416*x1*x5*x8^2+19369*x2*x5*x8^2+24403*x3*x5*x8^2+3027*x4*x5*x8^2+11894*x5^2*x8^2+21208*x1*x6*x8^2+9791*x2*x6*x8^2+30971*x3*x6*x8^2+2550*x4*x6*x8^2+14131*x5*x6*x8^2+23870*x6^2*x8^2+18076*x1*x7*x8^2+8208*x2*x7*x8^2+27543*x3*x7*x8^2+14833*x4*x7*x8^2+23846*x5*x7*x8^2+31687*x6*x7*x8^2+11777*x7^2*x8^2+4077*x1*x8^3+25405*x2*x8^3+16747*x3*x8^3+17079*x4*x8^3+27103*x5*x8^3+10528*x6*x8^3+22961*x7*x8^3+23066*x8^4+21559*x3*x5*x6+20439*x4*x5*x6+19844*x5^2*x6+25851*x1*x6^2+12364*x2*x6^2+13313*x3*x6^2+31618*x4*x6^2+11135*x5*x6^2+4844*x6^3+23960*x2*x4*x7+27479*x1*x5*x7+12628*x2*x5*x7+18323*x3*x5*x7+16031*x4*x5*x7+7162*x5^2*x7+9870*x1*x6*x7+29886*x2*x6*x7+26976*x3*x6*x7+12222*x4*x6*x7+5827*x5*x6*x7+5168*x6^2*x7+28660*x1*x7^2+25091*x2*x7^2+11926*x3*x7^2+5997*x4*x7^2+6520*x5*x7^2+12313*x6*x7^2+16987*x7^3+28184*x2*x4*x8+30402*x4^2*x8+3620*x1*x5*x8+12240*x2*x5*x8+31600*x3*x5*x8+14769*x4*x5*x8+20954*x5^2*x8+21889*x1*x6*x8+17419*x2*x6*x8+5473*x3*x6*x8+1475*x4*x6*x8+22831*x5*x6*x8+17046*x6^2*x8+24582*x1*x7*x8+17813*x2*x7*x8+2828*x3*x7*x8+15897*x4*x7*x8+15396*x5*x7*x8+1341*x6*x7*x8+23279*x7^2*x8+2708*x1*x8^2+28568*x2*x8^2+18154*x3*x8^2+2345*x4*x8^2+16793*x5*x8^2+12961*x6*x8^2+17123*x7*x8^2+4274*x8^3+5019*x2*x4+9742*x4^2+9407*x1*x5+10727*x2*x5+3655*x3*x5+23520*x4*x5+10882*x5^2+2739*x1*x6+15410*x2*x6+15460*x3*x6+2299*x4*x6+17445*x5*x6+661*x6^2+28993*x1*x7+2417*x2*x7+12856*x3*x7+17548*x4*x7+22397*x5*x7+28893*x6*x7+31106*x7^2+98*x1*x8+20347*x2*x8+17534*x3*x8+29153*x4*x8+16946*x5*x8+21347*x6*x8+19234*x7*x8+6782*x8^2+20727*x1+6748*x2+11353*x3+7570*x4+30631*x5+8427*x6+18633*x7+7355*x8+20799
+1*x5^2*x8^5+15795*x1*x8^6+14065*x2*x8^6+13690*x3*x8^6+21893*x4*x8^6+10054*x5*x8^6+27992*x6*x8^6+3407*x7*x8^6+27493*x8^7+10817*x2*x4*x8^4+13546*x4^2*x8^4+10639*x1*x5*x8^4+27672*x2*x5*x8^4+13335*x3*x5*x8^4+11592*x4*x5*x8^4+14766*x5^2*x8^4+6166*x1*x6*x8^4+3876*x2*x6*x8^4+17698*x3*x6*x8^4+28854*x4*x6*x8^4+25184*x5*x6*x8^4+2465*x6^2*x8^4+14925*x1*x7*x8^4+29632*x2*x7*x8^4+21642*x3*x7*x8^4+10246*x4*x7*x8^4+11778*x5*x7*x8^4+13480*x6*x7*x8^4+13909*x7^2*x8^4+7487*x1*x8^5+1308*x2*x8^5+10330*x3*x8^5+23281*x4*x8^5+15353*x5*x8^5+30136*x6*x8^5+25042*x7*x8^5+6353*x8^6+4379*x3*x5*x6*x8^2+19779*x4*x5*x6*x8^2+10474*x5^2*x6*x8^2+18969*x1*x6^2*x8^2+15826*x2*x6^2*x8^2+20756*x3*x6^2*x8^2+3593*x4*x6^2*x8^2+7243*x5*x6^2*x8^2+25553*x6^3*x8^2+13788*x2*x4*x7*x8^2+18018*x1*x5*x7*x8^2+23615*x2*x5*x7*x8^2+27664*x3*x5*x7*x8^2+20929*x4*x5*x7*x8^2+27845*x5^2*x7*x8^2+22162*x1*x6*x7*x8^2+3517*x2*x6*x7*x8^2+29713*x3*x6*x7*x8^2+23191*x4*x6*x7*x8^2+22694*x5*x6*x7*x8^2+1570*x6^2*x7*x8^2+2568*x1*x7^2*x8^2+30908*x2*x7^2*x8^2+20301*x3*x7^2*x8^2+12150*x4*x7^2*x8^2+20791*x5*x7^2*x8^2+20016*x6*x7^2*x8^2+3057*x7^3*x8^2+30036*x2*x4*x8^3+11780*x4^2*x8^3+12991*x1*x5*x8^3+19656*x2*x5*x8^3+17839*x3*x5*x8^3+6692*x4*x5*x8^3+23849*x5^2*x8^3+11488*x1*x6*x8^3+3371*x2*x6*x8^3+7365*x3*x6*x8^3+29425*x4*x6*x8^3+9258*x5*x6*x8^3+18034*x6^2*x8^3+5134*x1*x7*x8^3+17563*x2*x7*x8^3+23009*x3*x7*x8^3+9707*x4*x7*x8^3+19394*x5*x7*x8^3+17683*x6*x7*x8^3+18741*x7^2*x8^3+31435*x1*x8^4+11706*x2*x8^4+28404*x3*x8^4+824*x4*x8^4+21849*x5*x8^4+6712*x6*x8^4+16645*x7*x8^4+22929*x8^5+29477*x5^2*x7^2+23499*x1*x6*x7^2+4130*x2*x6*x7^2+29942*x3*x6*x7^2+21230*x4*x6*x7^2+1471*x5*x6*x7^2+17833*x6^2*x7^2+28651*x1*x7^3+27540*x2*x7^3+25814*x3*x7^3+31208*x4*x7^3+9229*x5*x7^3+8439*x6*x7^3+16457*x7^4+7241*x3*x5*x6*x8+14015*x4*x5*x6*x8+27686*x5^2*x6*x8+949*x1*x6^2*x8+18372*x2*x6^2*x8+11047*x3*x6^2*x8+24989*x4*x6^2*x8+23226*x5*x6^2*x8+8595*x6^3*x8+3768*x2*x4*x7*x8+25763*x1*x5*x7*x8+15878*x2*x5*x7*x8+19338*x3*x5*x7*x8+10977*x4*x5*x7*x8+16753*x5^2*x7*x8+521*x1*x6*x7*x8+15086*x2*x6*x7*x8+13894*x3*x6*x7*x8+9794*x4*x6*x7*x8+2984*x5*x6*x7*x8+18437*x6^2*x7*x8+21891*x1*x7^2*x8+29708*x2*x7^2*x8+11774*x3*x7^2*x8+24343*x4*x7^2*x8+20693*x5*x7^2*x8+1010*x6*x7^2*x8+31806*x7^3*x8+7698*x2*x4*x8^2+8403*x4^2*x8^2+29108*x1*x5*x8^2+10148*x2*x5*x8^2+19418*x3*x5*x8^2+18503*x4*x5*x8^2+19119*x5^2*x8^2+18232*x1*x6*x8^2+2742*x2*x6*x8^2+10391*x3*x6*x8^2+9417*x4*x6*x8^2+556*x5*x6*x8^2+4641*x6^2*x8^2+20107*x1*x7*x8^2+26890*x2*x7*x8^2+17042*x3*x7*x8^2+27314*x4*x7*x8^2+506*x5*x7*x8^2+23311*x6*x7*x8^2+15799*x7^2*x8^2+15610*x1*x8^3+23012*x2*x8^3+11485*x3*x8^3+3618*x4*x8^3+22093*x5*x8^3+14967*x6*x8^3+4125*x7*x8^3+27610*x8^4+29471*x3*x5*x6+944*x4*x5*x6+15362*x5^2*x6+15904*x1*x6^2+23399*x2*x6^2+28464*x3*x6^2+1167*x4*x6^2+24870*x5*x6^2+4269*x6^3+15489*x2*x4*x7+10244*x1*x5*x7+11125*x2*x5*x7+17102*x3*x5*x7+9848*x4*x5*x7+1103*x5^2*x7+12080*x1*x6*x7+24403*x2*x6*x7+22091*x3*x6*x7+22533*x4*x6*x7+25794*x5*x6*x7+1938*x6^2*x7+7213*x1*x7^2+8884*x2*x7^2+5257*x3*x7^2+28092*x4*x7^2+7749*x5*x7^2+13865*x6*x7^2+21410*x7^3+3576*x2*x4*x8+24839*x4^2*x8+23345*x1*x5*x8+12415*x2*x5*x8+8608*x3*x5*x8+22930*x4*x5*x8+17774*x5^2*x8+1779*x1*x6*x8+31555*x2*x6*x8+10751*x3*x6*x8+3828*x4*x6*x8+31033*x5*x6*x8+8168*x6^2*x8+10855*x1*x7*x8+4136*x2*x7*x8+14102*x3*x7*x8+14427*x4*x7*x8+17767*x5*x7*x8+1170*x6*x7*x8+14135*x7^2*x8+28721*x1*x8^2+18582*x2*x8^2+17359*x3*x8^2+5294*x4*x8^2+26931*x5*x8^2+21984*x6*x8^2+28278*x7*x8^2+28425*x8^3+31062*x2*x4+28788*x4^2+4501*x1*x5+26089*x2*x5+15416*x3*x5+14063*x4*x5+26338*x5^2+10622*x1*x6+18637*x2*x6+11651*x3*x6+23908*x4*x6+14479*x5*x6+2123*x6^2+19850*x1*x7+13837*x2*x7+22376*x3*x7+17979*x4*x7+22133*x5*x7+23378*x6*x7+28739*x7^2+21354*x1*x8+16116*x2*x8+7572*x3*x8+933*x4*x8+9896*x5*x8+8437*x6*x8+3392*x7*x8+3530*x8^2+24270*x1+8428*x2+8921*x3+9248*x4+1643*x5+15340*x6+19566*x7+551*x8+12119
+1*x4*x5*x8^5+179*x1*x8^6+19894*x2*x8^6+8382*x3*x8^6+21701*x4*x8^6+29940*x5*x8^6+3132*x6*x8^6+30916*x7*x8^6+2263*x8^7+23567*x2*x4*x8^4+8054*x4^2*x8^4+8251*x1*x5*x8^4+27339*x2*x5*x8^4+31560*x3*x5*x8^4+6540*x4*x5*x8^4+25886*x5^2*x8^4+2597*x1*x6*x8^4+21871*x2*x6*x8^4+19774*x3*x6*x8^4+27560*x4*x6*x8^4+5877*x5*x6*x8^4+484*x6^2*x8^4+3732*x1*x7*x8^4+26248*x2*x7*x8^4+4125*x3*x7*x8^4+28486*x4*x7*x8^4+4288*x5*x7*x8^4+2354*x6*x7*x8^4+6883*x7^2*x8^4+11151*x1*x8^5+26636*x2*x8^5+10182*x3*x8^5+26045*x4*x8^5+14958*x5*x8^5+5708*x6*x8^5+31659*x7*x8^5+2858*x8^6+21647*x3*x5*x6*x8^2+12744*x4*x5*x6*x8^2+29672*x5^2*x6*x8^2+17831*x1*x6^2*x8^2+5644*x2*x6^2*x8^2+2247*x3*x6^2*x8^2+6861*x4*x6^2*x8^2+14504*x5*x6^2*x8^2+20485*x6^3*x8^2+6197*x2*x4*x7*x8^2+5702*x1*x5*x7*x8^2+11663*x2*x5*x7*x8^2+27472*x3*x5*x7*x8^2+28409*x4*x5*x7*x8^2+7228*x5^2*x7*x8^2+20338*x1*x6*x7*x8^2+22920*x2*x6*x7*x8^2+14189*x3*x6*x7*x8^2+2509*x4*x6*x7*x8^2+8348*x5*x6*x7*x8^2+15022*x6^2*x7*x8^2+16923*x1*x7^2*x8^2+12116*x2*x7^2*x8^2+3179*x3*x7^2*x8^2+21735*x4*x7^2*x8^2+28055*x5*x7^2*x8^2+68*x6*x7^2*x8^2+14083*x7^3*x8^2+15891*x2*x4*x8^3+19781*x4^2*x8^3+23473*x1*x5*x8^3+17646*x2*x5*x8^3+8014*x3*x5*x8^3+11015*x4*x5*x8^3+12798*x5^2*x8^3+2237*x1*x6*x8^3+8600*x2*x6*x8^3+12315*x3*x6*x8^3+14386*x4*x6*x8^3+22195*x5*x6*x8^3+1841*x6^2*x8^3+24488*x1*x7*x8^3+20912*x2*x7*x8^3+29469*x3*x7*x8^3+20085*x4*x7*x8^3+954*x5*x7*x8^3+6469*x6*x7*x8^3+26218*x7^2*x8^3+9814*x1*x8^4+16317*x2*x8^4+12121*x3*x8^4+13443*x4*x8^4+6832*x5*x8^4+6434*x6*x8^4+18228*x7*x8^4+22977*x8^5+5255*x5^2*x7^2+358*x1*x6*x7^2+8236*x2*x6*x7^2+15916*x3*x6*x7^2+9831*x4*x6*x7^2+31526*x5*x6*x7^2+17334*x6^2*x7^2+12407*x1*x7^3+15985*x2*x7^3+15780*x3*x7^3+12351*x4*x7^3+29692*x5*x7^3+23620*x6*x7^3+1617*x7^4+18487*x3*x5*x6*x8+3172*x4*x5*x6*x8+31436*x5^2*x6*x8+23107*x1*x6^2*x8+29191*x2*x6^2*x8+20487*x3*x6^2*x8+13218*x4*x6^2*x8+1507*x5*x6^2*x8+12751*x6^3*x8+20204*x2*x4*x7*x8+26124*x1*x5*x7*x8+9432*x2*x5*x7*x8+21776*x3*x5*x7*x8+11520*x4*x5*x7*x8+12378*x5^2*x7*x8+9665*x1*x6*x7*x8+16855*x2*x6*x7*x8+4884*x3*x6*x7*x8+2220*x4*x6*x7*x8+26800*x5*x6*x7*x8+12061*x6^2*x7*x8+9899*x1*x7^2*x8+7141*x2*x7^2*x8+29898*x3*x7^2*x8+6264*x4*x7^2*x8+916*x5*x7^2*x8+7597*x6*x7^2*x8+9028*x7^3*x8+6130*x2*x4*x8^2+27246*x4^2*x8^2+5433*x1*x5*x8^2+20814*x2*x5*x8^2+18791*x3*x5*x8^2+21366*x4*x5*x8^2+4491*x5^2*x8^2+27227*x1*x6*x8^2+23877*x2*x6*x8^2+8888*x3*x6*x8^2+324*x4*x6*x8^2+3834*x5*x6*x8^2+12179*x6^2*x8^2+2012*x1*x7*x8^2+11755*x2*x7*x8^2+31797*x3*x7*x8^2+6688*x4*x7*x8^2+31073*x5*x7*x8^2+8400*x6*x7*x8^2+8338*x7^2*x8^2+7698*x1*x8^3+2616*x2*x8^3+24238*x3*x8^3+18927*x4*x8^3+3296*x5*x8^3+23520*x6*x8^3+22547*x7*x8^3+22171*x8^4+10362*x3*x5*x6+25354*x4*x5*x6+31918*x5^2*x6+4112*x1*x6^2+18190*x2*x6^2+27579*x3*x6^2+21885*x4*x6^2+8073*x5*x6^2+17839*x6^3+12872*x2*x4*x7+25050*x1*x5*x7+11396*x2*x5*x7+26212*x3*x5*x7+4981*x4*x5*x7+25026*x5^2*x7+24779*x1*x6*x7+22182*x2*x6*x7+4368*x3*x6*x7+22070*x4*x6*x7+12998*x5*x6*x7+3227*x6^2*x7+10109*x1*x7^2+30277*x2*x7^2+8145*x3*x7^2+802*x4*x7^2+28861*x5*x7^2+11270*x6*x7^2+3269*x7^3+4729*x2*x4*x8+5482*x4^2*x8+20693*x1*x5*x8+14783*x2*x5*x8+17916*x3*x5*x8+3135*x4*x5*x8+24088*x5^2*x8+31021*x1*x6*x8+6199*x2*x6*x8+25141*x3*x6*x8+29877*x4*x6*x8+20485*x5*x6*x8+12185*x6^2*x8+1787*x1*x7*x8+5558*x2*x7*x8+357*x3*x7*x8+3978*x4*x7*x8+7190*x5*x7*x8+12758*x6*x7*x8+24951*x7^2*x8+17747*x1*x8^2+29886*x2*x8^2+24231*x3*x8^2+12743*x4*x8^2+30976*x5*x8^2+13341*x6*x8^2+3624*x7*x8^2+15003*x8^3+17841*x2*x4+12538*x4^2+12441*x1*x5+10699*x2*x5+19883*x3*x5+30296*x4*x5+3325*x5^2+62*x1*x6+10022*x2*x6+1310*x3*x6+4619*x4*x6+16440*x5*x6+1022*x6^2+3241*x1*x7+1473*x2*x7+703*x3*x7+14526*x4*x7+18538*x5*x7+15753*x6*x7+31218*x7^2+10250*x1*x8+31665*x2*x8+14242*x3*x8+19337*x4*x8+22961*x5*x8+9051*x6*x8+6047*x7*x8+10968*x8^2+12653*x1+22214*x2+18808*x3+5575*x4+21056*x5+29893*x6+30329*x7+21296*x8+14173
+1*x3*x5*x8^5+12801*x1*x8^6+17092*x2*x8^6+16462*x3*x8^6+2494*x4*x8^6+29853*x5*x8^6+8602*x6*x8^6+553*x7*x8^6+10429*x8^7+22995*x2*x4*x8^4+8645*x4^2*x8^4+26894*x1*x5*x8^4+5808*x2*x5*x8^4+11744*x3*x5*x8^4+15516*x4*x5*x8^4+10096*x5^2*x8^4+1798*x1*x6*x8^4+20851*x2*x6*x8^4+29965*x3*x6*x8^4+24867*x4*x6*x8^4+6380*x5*x6*x8^4+15341*x6^2*x8^4+22905*x1*x7*x8^4+17426*x2*x7*x8^4+12363*x3*x7*x8^4+31090*x4*x7*x8^4+31000*x5*x7*x8^4+8120*x6*x7*x8^4+19359*x7^2*x8^4+26954*x1*x8^5+10361*x2*x8^5+9523*x3*x8^5+31181*x4*x8^5+24187*x5*x8^5+2230*x6*x8^5+23324*x7*x8^5+18416*x8^6+10790*x3*x5*x6*x8^2+7249*x4*x5*x6*x8^2+19948*x5^2*x6*x8^2+8578*x1*x6^2*x8^2+11676*x2*x6^2*x8^2+4111*x3*x6^2*x8^2+4887*x4*x6^2*x8^2+7453*x5*x6^2*x8^2+13120*x6^3*x8^2+2843*x2*x4*x7*x8^2+18335*x1*x5*x7*x8^2+23342*x2*x5*x7*x8^2+7748*x3*x5*x7*x8^2+22511*x4*x5*x7*x8^2+15091*x5^2*x7*x8^2+11309*x1*x6*x7*x8^2+22830*x2*x6*x7*x8^2+13214*x3*x6*x7*x8^2+24407*x4*x6*x7*x8^2+3632*x5*x6*x7*x8^2+27980*x6^2*x7*x8^2+21355*x1*x7^2*x8^2+17167*x2*x7^2*x8^2+27174*x3*x7^2*x8^2+28302*x4*x7^2*x8^2+7936*x5*x7^2*x8^2+2740*x6*x7^2*x8^2+19685*x7^3*x8^2+18047*x2*x4*x8^3+27332*x4^2*x8^3+14244*x1*x5*x8^3+860*x2*x5*x8^3+3016*x3*x5*x8^3+30819*x4*x5*x8^3+6709*x5^2*x8^3+19195*x1*x6*x8^3+15588*x2*x6*x8^3+18204*x3*x6*x8^3+7820*x4*x6*x8^3+5001*x5*x6*x8^3+29702*x6^2*x8^3+6910*x1*x7*x8^3+12662*x2*x7*x8^3+13406*x3*x7*x8^3+19948*x4*x7*x8^3+7710*x5*x7*x8^3+18487*x6*x7*x8^3+16286*x7^2*x8^3+24146*x1*x8^4+12667*x2*x8^4+22734*x3*x8^4+27490*x4*x8^4+9297*x5*x8^4+25798*x6*x8^4+26131*x7*x8^4+1553*x8^5+4552*x5^2*x7^2+17319*x1*x6*x7^2+22260*x2*x6*x7^2+18121*x3*x6*x7^2+7568*x4*x6*x7^2+16228*x5*x6*x7^2+13693*x6^2*x7^2+212*x1*x7^3+12537*x2*x7^3+22687*x3*x7^3+5013*x4*x7^3+2730*x5*x7^3+16583*x6*x7^3+10848*x7^4+1045*x3*x5*x6*x8+21017*x4*x5*x6*x8+18310*x5^2*x6*x8+8432*x1*x6^2*x8+20545*x2*x6^2*x8+10429*x3*x6^2*x8+21588*x4*x6^2*x8+5952*x5*x6^2*x8+4617*x6^3*x8+18414*x2*x4*x7*x8+11471*x1*x5*x7*x8+31864*x2*x5*x7*x8+30060*x3*x5*x7*x8+24003*x4*x5*x7*x8+6037*x5^2*x7*x8+31118*x1*x6*x7*x8+8341*x2*x6*x7*x8+3088*x3*x6*x7*x8+24550*x4*x6*x7*x8+743*x5*x6*x7*x8+16532*x6^2*x7*x8+10614*x1*x7^2*x8+12998*x2*x7^2*x8+18799*x3*x7^2*x8+21065*x4*x7^2*x8+10839*x5*x7^2*x8+19273*x6*x7^2*x8+26596*x7^3*x8+25253*x2*x4*x8^2+9052*x4^2*x8^2+10104*x1*x5*x8^2+12611*x2*x5*x8^2+1480*x3*x5*x8^2+457*x4*x5*x8^2+5679*x5^2*x8^2+6911*x1*x6*x8^2+20495*x2*x6*x8^2+12079*x3*x6*x8^2+8286*x4*x6*x8^2+15940*x5*x6*x8^2+7560*x6^2*x8^2+8167*x1*x7*x8^2+12772*x2*x7*x8^2+22888*x3*x7*x8^2+9876*x4*x7*x8^2+26428*x5*x7*x8^2+362*x6*x7*x8^2+16159*x7^2*x8^2+14632*x1*x8^3+9058*x2*x8^3+19881*x3*x8^3+2000*x4*x8^3+29026*x5*x8^3+15291*x6*x8^3+19248*x7*x8^3+8420*x8^4+17112*x3*x5*x6+2848*x4*x5*x6+9933*x5^2*x6+23552*x1*x6^2+10331*x2*x6^2+13921*x3*x6^2+24025*x4*x6^2+3717*x5*x6^2+9038*x6^3+29901*x2*x4*x7+14945*x1*x5*x7+11303*x2*x5*x7+16079*x3*x5*x7+29120*x4*x5*x7+1489*x5^2*x7+30494*x1*x6*x7+29366*x2*x6*x7+16564*x3*x6*x7+16055*x4*x6*x7+1234*x5*x6*x7+3754*x6^2*x7+26340*x1*x7^2+3978*x2*x7^2+15736*x3*x7^2+1892*x4*x7^2+7860*x5*x7^2+30990*x6*x7^2+31359*x7^3+27755*x2*x4*x8+5827*x4^2*x8+7275*x1*x5*x8+27393*x2*x5*x8+31321*x3*x5*x8+9978*x4*x5*x8+23233*x5^2*x8+10172*x1*x6*x8+15269*x2*x6*x8+23688*x3*x6*x8+12379*x4*x6*x8+9404*x5*x6*x8+21662*x6^2*x8+27083*x1*x7*x8+24973*x2*x7*x8+28799*x3*x7*x8+14364*x4*x7*x8+27461*x5*x7*x8+31935*x6*x7*x8+31193*x7^2*x8+14579*x1*x8^2+1050*x2*x8^2+31737*x3*x8^2+3516*x4*x8^2+27193*x5*x8^2+25721*x6*x8^2+5098*x7*x8^2+2961*x8^3+16982*x2*x4+12548*x4^2+17314*x1*x5+10853*x2*x5+13359*x3*x5+31028*x4*x5+30253*x5^2+30284*x1*x6+21991*x2*x6+22615*x3*x6+4234*x4*x6+8262*x5*x6+29772*x6^2+5871*x1*x7+20499*x2*x7+23242*x3*x7+7454*x4*x7+711*x5*x7+8317*x6*x7+23434*x7^2+13161*x1*x8+16734*x2*x8+20336*x3*x8+14474*x4*x8+65*x5*x8+13177*x6*x8+28461*x7*x8+9437*x8^2+3013*x1+24998*x2+18529*x3+15847*x4+4836*x5+20582*x6+3027*x7+1001*x8+3354
+1*x2*x5*x8^5+14180*x1*x8^6+7907*x2*x8^6+22651*x3*x8^6+4526*x4*x8^6+3451*x5*x8^6+26601*x6*x8^6+12524*x7*x8^6+11108*x8^7+17035*x2*x4*x8^4+16557*x4^2*x8^4+12966*x1*x5*x8^4+31931*x2*x5*x8^4+12960*x3*x5*x8^4+9299*x4*x5*x8^4+8208*x5^2*x8^4+16650*x1*x6*x8^4+6786*x2*x6*x8^4+15229*x3*x6*x8^4+27612*x4*x6*x8^4+20822*x5*x6*x8^4+31116*x6^2*x8^4+18636*x1*x7*x8^4+1611*x2*x7*x8^4+27184*x3*x7*x8^4+22958*x4*x7*x8^4+12927*x5*x7*x8^4+25259*x6*x7*x8^4+6026*x7^2*x8^4+14295*x1*x8^5+30701*x2*x8^5+19364*x3*x8^5+22680*x4*x8^5+3671*x5*x8^5+20447*x6*x8^5+11900*x7*x8^5+1969*x8^6+26788*x3*x5*x6*x8^2+7708*x4*x5*x6*x8^2+24901*x5^2*x6*x8^2+33*x1*x6^2*x8^2+3614*x2*x6^2*x8^2+3906*x3*x6^2*x8^2+16103*x4*x6^2*x8^2+5940*x5*x6^2*x8^2+9891*x6^3*x8^2+20495*x2*x4*x7*x8^2+6497*x1*x5*x7*x8^2+18764*x2*x5*x7*x8^2+17979*x3*x5*x7*x8^2+6934*x4*x5*x7*x8^2+18655*x5^2*x7*x8^2+30578*x1*x6*x7*x8^2+23548*x2*x6*x7*x8^2+30975*x3*x6*x7*x8^2+6356*x4*x6*x7*x8^2+17060*x5*x6*x7*x8^2+7968*x6^2*x7*x8^2+11232*x1*x7^2*x8^2+12385*x2*x7^2*x8^2+6532*x3*x7^2*x8^2+3260*x4*x7^2*x8^2+4294*x5*x7^2*x8^2+4612*x6*x7^2*x8^2+26603*x7^3*x8^2+13453*x2*x4*x8^3+16251*x4^2*x8^3+16237*x1*x5*x8^3+9692*x2*x5*x8^3+9456*x3*x5*x8^3+11185*x4*x5*x8^3+14323*x5^2*x8^3+6498*x1*x6*x8^3+14710*x2*x6*x8^3+21553*x3*x6*x8^3+30582*x4*x6*x8^3+22456*x5*x6*x8^3+27716*x6^2*x8^3+11555*x1*x7*x8^3+31778*x2*x7*x8^3+17123*x3*x7*x8^3+27404*x4*x7*x8^3+485*x5*x7*x8^3+20861*x6*x7*x8^3+21673*x7^2*x8^3+30144*x1*x8^4+1629*x2*x8^4+30934*x3*x8^4+17723*x4*x8^4+7074*x5*x8^4+13364*x6*x8^4+23437*x7*x8^4+29717*x8^5+31543*x5^2*x7^2+4874*x1*x6*x7^2+30175*x2*x6*x7^2+23697*x3*x6*x7^2+7831*x4*x6*x7^2+19807*x5*x6*x7^2+24570*x6^2*x7^2+15228*x1*x7^3+24289*x2*x7^3+21639*x3*x7^3+8338*x4*x7^3+31339*x5*x7^3+20832*x6*x7^3+24025*x7^4+21786*x3*x5*x6*x8+7131*x4*x5*x6*x8+15152*x5^2*x6*x8+24179*x1*x6^2*x8+25573*x2*x6^2*x8+4262*x3*x6^2*x8+7621*x4*x6^2*x8+18454*x5*x6^2*x8+16723*x6^3*x8+1830*x2*x4*x7*x8+18683*x1*x5*x7*x8+31663*x2*x5*x7*x8+20486*x3*x5*x7*x8+18933*x4*x5*x7*x8+9964*x5^2*x7*x8+10482*x1*x6*x7*x8+18094*x2*x6*x7*x8+5950*x3*x6*x7*x8+21176*x4*x6*x7*x8+4994*x5*x6*x7*x8+4152*x6^2*x7*x8+17179*x1*x7^2*x8+18891*x2*x7^2*x8+10183*x3*x7^2*x8+16121*x4*x7^2*x8+8469*x5*x7^2*x8+17532*x6*x7^2*x8+9412*x7^3*x8+28710*x2*x4*x8^2+4281*x4^2*x8^2+4484*x1*x5*x8^2+11564*x2*x5*x8^2+11463*x3*x5*x8^2+28644*x4*x5*x8^2+19301*x5^2*x8^2+10950*x1*x6*x8^2+19853*x2*x6*x8^2+14266*x3*x6*x8^2+26829*x4*x6*x8^2+24708*x5*x6*x8^2+10711*x6^2*x8^2+10042*x1*x7*x8^2+26468*x2*x7*x8^2+13102*x3*x7*x8^2+1515*x4*x7*x8^2+784*x5*x7*x8^2+16905*x6*x7*x8^2+22889*x7^2*x8^2+8572*x1*x8^3+19747*x2*x8^3+22500*x3*x8^3+1626*x4*x8^3+6140*x5*x8^3+9637*x6*x8^3+3348*x7*x8^3+25660*x8^4+1910*x3*x5*x6+11796*x4*x5*x6+8269*x5^2*x6+7972*x1*x6^2+5789*x2*x6^2+14054*x3*x6^2+30555*x4*x6^2+1091*x5*x6^2+26036*x6^3+2862*x2*x4*x7+12278*x1*x5*x7+2117*x2*x5*x7+23921*x3*x5*x7+7208*x4*x5*x7+15586*x5^2*x7+10065*x1*x6*x7+9269*x2*x6*x7+17631*x3*x6*x7+673*x4*x6*x7+20474*x5*x6*x7+3051*x6^2*x7+26816*x1*x7^2+2429*x2*x7^2+17926*x3*x7^2+8193*x4*x7^2+20238*x5*x7^2+4983*x6*x7^2+3121*x7^3+2935*x2*x4*x8+3810*x4^2*x8+7314*x1*x5*x8+16523*x2*x5*x8+11277*x3*x5*x8+5015*x4*x5*x8+20692*x5^2*x8+4952*x1*x6*x8+19985*x2*x6*x8+2867*x3*x6*x8+3347*x4*x6*x8+27202*x5*x6*x8+2746*x6^2*x8+4287*x1*x7*x8+24215*x2*x7*x8+19405*x3*x7*x8+14327*x4*x7*x8+17386*x5*x7*x8+3598*x6*x7*x8+13218*x7^2*x8+8590*x1*x8^2+30730*x2*x8^2+4808*x3*x8^2+21378*x4*x8^2+29761*x5*x8^2+3295*x6*x8^2+25225*x7*x8^2+1194*x8^3+26033*x2*x4+16516*x4^2+30316*x1*x5+20194*x2*x5+7629*x3*x5+3828*x4*x5+23634*x5^2+19420*x1*x6+16674*x2*x6+6651*x3*x6+13177*x4*x6+18192*x5*x6+31986*x6^2+2559*x1*x7+8139*x2*x7+26572*x3*x7+21271*x4*x7+26364*x5*x7+15473*x6*x7+30491*x7^2+29051*x1*x8+13812*x2*x8+28165*x3*x8+31225*x4*x8+29747*x5*x8+11880*x6*x8+14652*x7*x8+15888*x8^2+13629*x1+4525*x2+18748*x3+11479*x4+24845*x5+9247*x6+2860*x7+5346*x8+26336
+1*x1*x5*x8^5+16025*x1*x8^6+5749*x2*x8^6+23132*x3*x8^6+9237*x4*x8^6+18830*x5*x8^6+5636*x6*x8^6+7733*x7*x8^6+24823*x8^7+25726*x2*x4*x8^4+10050*x4^2*x8^4+1865*x1*x5*x8^4+12835*x2*x5*x8^4+28051*x3*x5*x8^4+19177*x4*x5*x8^4+20450*x5^2*x8^4+6286*x1*x6*x8^4+15871*x2*x6*x8^4+22594*x3*x6*x8^4+15323*x4*x6*x8^4+8993*x5*x6*x8^4+21756*x6^2*x8^4+658*x1*x7*x8^4+5246*x2*x7*x8^4+25040*x3*x7*x8^4+11891*x4*x7*x8^4+15103*x5*x7*x8^4+25420*x6*x7*x8^4+14875*x7^2*x8^4+20629*x1*x8^5+29518*x2*x8^5+25366*x3*x8^5+23372*x4*x8^5+26753*x5*x8^5+3109*x6*x8^5+18683*x7*x8^5+26181*x8^6+5879*x3*x5*x6*x8^2+5027*x4*x5*x6*x8^2+2317*x5^2*x6*x8^2+12797*x1*x6^2*x8^2+26323*x2*x6^2*x8^2+20488*x3*x6^2*x8^2+21508*x4*x6^2*x8^2+12065*x5*x6^2*x8^2+10276*x6^3*x8^2+22189*x2*x4*x7*x8^2+8077*x1*x5*x7*x8^2+26691*x2*x5*x7*x8^2+7284*x3*x5*x7*x8^2+28273*x4*x5*x7*x8^2+5739*x5^2*x7*x8^2+6877*x1*x6*x7*x8^2+8135*x2*x6*x7*x8^2+5152*x3*x6*x7*x8^2+15352*x4*x6*x7*x8^2+7006*x5*x6*x7*x8^2+23892*x6^2*x7*x8^2+1112*x1*x7^2*x8^2+6265*x2*x7^2*x8^2+10657*x3*x7^2*x8^2+19103*x4*x7^2*x8^2+28572*x5*x7^2*x8^2+15131*x6*x7^2*x8^2+27338*x7^3*x8^2+11101*x2*x4*x8^3+5408*x4^2*x8^3+21240*x1*x5*x8^3+7984*x2*x5*x8^3+31156*x3*x5*x8^3+13548*x4*x5*x8^3+16706*x5^2*x8^3+14748*x1*x6*x8^3+15214*x2*x6*x8^3+3513*x3*x6*x8^3+10750*x4*x6*x8^3+17384*x5*x6*x8^3+1896*x6^2*x8^3+31615*x1*x7*x8^3+1605*x2*x7*x8^3+30324*x3*x7*x8^3+7601*x4*x7*x8^3+26062*x5*x7*x8^3+24347*x6*x7*x8^3+13853*x7^2*x8^3+18363*x1*x8^4+25953*x2*x8^4+30094*x3*x8^4+23547*x4*x8^4+18011*x5*x8^4+2039*x6*x8^4+30005*x7*x8^4+8965*x8^5+31613*x5^2*x7^2+30161*x1*x6*x7^2+16941*x2*x6*x7^2+4771*x3*x6*x7^2+30364*x4*x6*x7^2+17125*x5*x6*x7^2+2255*x6^2*x7^2+22134*x1*x7^3+11365*x2*x7^3+23159*x3*x7^3+4651*x4*x7^3+21846*x5*x7^3+22150*x6*x7^3+240*x7^4+25545*x3*x5*x6*x8+12492*x4*x5*x6*x8+23070*x5^2*x6*x8+25379*x1*x6^2*x8+23656*x2*x6^2*x8+29027*x3*x6^2*x8+26*x4*x6^2*x8+25781*x5*x6^2*x8+9170*x6^3*x8+24485*x2*x4*x7*x8+30534*x1*x5*x7*x8+23797*x2*x5*x7*x8+10475*x3*x5*x7*x8+29933*x4*x5*x7*x8+4976*x5^2*x7*x8+29716*x1*x6*x7*x8+23071*x2*x6*x7*x8+23415*x3*x6*x7*x8+15351*x4*x6*x7*x8+11042*x5*x6*x7*x8+15533*x6^2*x7*x8+11423*x1*x7^2*x8+24638*x2*x7^2*x8+3446*x3*x7^2*x8+7100*x4*x7^2*x8+23579*x5*x7^2*x8+12412*x6*x7^2*x8+25314*x7^3*x8+11951*x2*x4*x8^2+17968*x4^2*x8^2+27567*x1*x5*x8^2+2430*x2*x5*x8^2+9058*x3*x5*x8^2+13495*x4*x5*x8^2+5155*x5^2*x8^2+26923*x1*x6*x8^2+9914*x2*x6*x8^2+9486*x3*x6*x8^2+22298*x4*x6*x8^2+9822*x5*x6*x8^2+23574*x6^2*x8^2+6470*x1*x7*x8^2+29312*x2*x7*x8^2+11053*x3*x7*x8^2+15213*x4*x7*x8^2+12790*x5*x7*x8^2+18700*x6*x7*x8^2+19188*x7^2*x8^2+17557*x1*x8^3+281*x2*x8^3+25511*x3*x8^3+25862*x4*x8^3+4359*x5*x8^3+14833*x6*x8^3+24863*x7*x8^3+24521*x8^4+15668*x3*x5*x6+30333*x4*x5*x6+25652*x5^2*x6+6648*x1*x6^2+1660*x2*x6^2+31085*x3*x6^2+2748*x4*x6^2+15711*x5*x6^2+4898*x6^3+8960*x2*x4*x7+580*x1*x5*x7+22375*x2*x5*x7+13226*x3*x5*x7+7087*x4*x5*x7+1195*x5^2*x7+15794*x1*x6*x7+29326*x2*x6*x7+15905*x3*x6*x7+14011*x4*x6*x7+8933*x5*x6*x7+15490*x6^2*x7+11069*x1*x7^2+17619*x2*x7^2+3504*x3*x7^2+22847*x4*x7^2+27684*x5*x7^2+12591*x6*x7^2+15509*x7^3+24979*x2*x4*x8+17598*x4^2*x8+30317*x1*x5*x8+14588*x2*x5*x8+17329*x3*x5*x8+15652*x4*x5*x8+11597*x5^2*x8+15480*x1*x6*x8+20364*x2*x6*x8+28942*x3*x6*x8+30003*x4*x6*x8+6889*x5*x6*x8+17789*x6^2*x8+14182*x1*x7*x8+12283*x2*x7*x8+31042*x3*x7*x8+16573*x4*x7*x8+28261*x5*x7*x8+7187*x6*x7*x8+17894*x7^2*x8+26353*x1*x8^2+20916*x2*x8^2+21357*x3*x8^2+13396*x4*x8^2+6810*x5*x8^2+22612*x6*x8^2+30587*x7*x8^2+16692*x8^3+31454*x2*x4+31036*x4^2+29858*x1*x5+16311*x2*x5+20667*x3*x5+18209*x4*x5+901*x5^2+4555*x1*x6+30009*x2*x6+312*x3*x6+14685*x4*x6+21195*x5*x6+16566*x6^2+20006*x1*x7+18118*x2*x7+10037*x3*x7+16866*x4*x7+26241*x5*x7+3546*x6*x7+11215*x7^2+5070*x1*x8+12937*x2*x8+3915*x3*x8+28125*x4*x8+2897*x5*x8+30456*x6*x8+6773*x7*x8+25937*x8^2+22051*x1+845*x2+10317*x3+17711*x4+9008*x5+24085*x6+20064*x7+31203*x8+19172
+1*x4^2*x8^5+1315*x1*x8^6+20371*x2*x8^6+21846*x3*x8^6+1653*x4*x8^6+24079*x5*x8^6+863*x6*x8^6+23290*x7*x8^6+24671*x8^7+21058*x2*x4*x8^4+3493*x4^2*x8^4+24570*x1*x5*x8^4+7509*x2*x5*x8^4+29664*x3*x5*x8^4+9748*x4*x5*x8^4+27338*x5^2*x8^4+6196*x1*x6*x8^4+15048*x2*x6*x8^4+25600*x3*x6*x8^4+9597*x4*x6*x8^4+15547*x5*x6*x8^4+3396*x6^2*x8^4+10705*x1*x7*x8^4+13052*x2*x7*x8^4+22737*x3*x7*x8^4+7142*x4*x7*x8^4+10746*x5*x7*x8^4+14993*x6*x7*x8^4+17911*x7^2*x8^4+22078*x1*x8^5+29014*x2*x8^5+19386*x3*x8^5+1038*x4*x8^5+19948*x5*x8^5+29823*x6*x8^5+10833*x7*x8^5+5627*x8^6+29929*x3*x5*x6*x8^2+28125*x4*x5*x6*x8^2+8088*x5^2*x6*x8^2+21506*x1*x6^2*x8^2+2497*x2*x6^2*x8^2+716*x3*x6^2*x8^2+20725*x4*x6^2*x8^2+22066*x5*x6^2*x8^2+27975*x6^3*x8^2+25558*x2*x4*x7*x8^2+1638*x1*x5*x7*x8^2+29959*x2*x5*x7*x8^2+24737*x3*x5*x7*x8^2+6228*x4*x5*x7*x8^2+9014*x5^2*x7*x8^2+18603*x1*x6*x7*x8^2+30353*x2*x6*x7*x8^2+11733*x3*x6*x7*x8^2+23173*x4*x6*x7*x8^2+9856*x5*x6*x7*x8^2+12240*x6^2*x7*x8^2+14273*x1*x7^2*x8^2+26392*x2*x7^2*x8^2+24765*x3*x7^2*x8^2+11068*x4*x7^2*x8^2+24218*x5*x7^2*x8^2+21346*x6*x7^2*x8^2+13105*x7^3*x8^2+7754*x2*x4*x8^3+28489*x4^2*x8^3+5557*x1*x5*x8^3+17434*x2*x5*x8^3+3073*x3*x5*x8^3+23824*x4*x5*x8^3+20559*x5^2*x8^3+7294*x1*x6*x8^3+24334*x2*x6*x8^3+22464*x3*x6*x8^3+23808*x4*x6*x8^3+5497*x5*x6*x8^3+13953*x6^2*x8^3+29896*x1*x7*x8^3+7088*x2*x7*x8^3+5340*x3*x7*x8^3+23458*x4*x7*x8^3+31716*x5*x7*x8^3+10389*x6*x7*x8^3+30545*x7^2*x8^3+30390*x1*x8^4+22799*x2*x8^4+21690*x3*x8^4+7479*x4*x8^4+11185*x5*x8^4+13784*x6*x8^4+8514*x7*x8^4+19208*x8^5+22217*x5^2*x7^2+15756*x1*x6*x7^2+22115*x2*x6*x7^2+19277*x3*x6*x7^2+1729*x4*x6*x7^2+24896*x5*x6*x7^2+11182*x6^2*x7^2+8567*x1*x7^3+6308*x2*x7^3+11800*x3*x7^3+3936*x4*x7^3+31959*x5*x7^3+31569*x6*x7^3+26141*x7^4+6004*x3*x5*x6*x8+12697*x4*x5*x6*x8+13873*x5^2*x6*x8+14687*x1*x6^2*x8+5932*x2*x6^2*x8+17816*x3*x6^2*x8+12841*x4*x6^2*x8+20079*x5*x6^2*x8+4265*x6^3*x8+31059*x2*x4*x7*x8+29242*x1*x5*x7*x8+6452*x2*x5*x7*x8+243*x3*x5*x7*x8+2298*x4*x5*x7*x8+27934*x5^2*x7*x8+20687*x1*x6*x7*x8+21301*x2*x6*x7*x8+24331*x3*x6*x7*x8+14916*x4*x6*x7*x8+22795*x5*x6*x7*x8+18727*x6^2*x7*x8+9634*x1*x7^2*x8+15787*x2*x7^2*x8+15838*x3*x7^2*x8+4746*x4*x7^2*x8+9984*x5*x7^2*x8+17282*x6*x7^2*x8+7270*x7^3*x8+17242*x2*x4*x8^2+24096*x4^2*x8^2+7448*x1*x5*x8^2+16046*x2*x5*x8^2+18993*x3*x5*x8^2+5858*x4*x5*x8^2+20597*x5^2*x8^2+22918*x1*x6*x8^2+31127*x2*x6*x8^2+29156*x3*x6*x8^2+19225*x4*x6*x8^2+10407*x5*x6*x8^2+13341*x6^2*x8^2+18131*x1*x7*x8^2+12324*x2*x7*x8^2+15505*x3*x7*x8^2+26988*x4*x7*x8^2+16661*x5*x7*x8^2+5693*x6*x7*x8^2+29118*x7^2*x8^2+24234*x1*x8^3+18757*x2*x8^3+11071*x3*x8^3+29096*x4*x8^3+9899*x5*x8^3+18434*x6*x8^3+26795*x7*x8^3+19610*x8^4+25539*x3*x5*x6+5854*x4*x5*x6+6941*x5^2*x6+10646*x1*x6^2+24158*x2*x6^2+24052*x3*x6^2+15478*x4*x6^2+29160*x5*x6^2+9443*x6^3+19791*x2*x4*x7+30584*x1*x5*x7+20652*x2*x5*x7+12842*x3*x5*x7+6366*x4*x5*x7+1003*x5^2*x7+11917*x1*x6*x7+4556*x2*x6*x7+13810*x3*x6*x7+543*x4*x6*x7+13719*x5*x6*x7+595*x6^2*x7+4162*x1*x7^2+2628*x2*x7^2+29093*x3*x7^2+28199*x4*x7^2+3152*x5*x7^2+12172*x6*x7^2+22017*x7^3+342*x2*x4*x8+10033*x4^2*x8+20267*x1*x5*x8+10634*x2*x5*x8+3398*x3*x5*x8+21761*x4*x5*x8+9165*x5^2*x8+2505*x1*x6*x8+21356*x2*x6*x8+10184*x3*x6*x8+21182*x4*x6*x8+16972*x5*x6*x8+2804*x6^2*x8+1495*x1*x7*x8+22953*x2*x7*x8+2072*x3*x7*x8+1986*x4*x7*x8+17896*x5*x7*x8+562*x6*x7*x8+22510*x7^2*x8+25159*x1*x8^2+26562*x2*x8^2+28517*x3*x8^2+15731*x4*x8^2+1902*x5*x8^2+13411*x6*x8^2+27355*x7*x8^2+9323*x8^3+30340*x2*x4+17930*x4^2+3106*x1*x5+14031*x2*x5+21703*x3*x5+4846*x4*x5+18838*x5^2+5906*x1*x6+2853*x2*x6+13378*x3*x6+4530*x4*x6+7070*x5*x6+13917*x6^2+18225*x1*x7+10248*x2*x7+26988*x3*x7+16964*x4*x7+23638*x5*x7+7835*x6*x7+21220*x7^2+4827*x1*x8+22473*x2*x8+25510*x3*x8+27591*x4*x8+11790*x5*x8+22898*x6*x8+19682*x7*x8+14835*x8^2+3043*x1+7415*x2+30199*x3+28242*x4+20915*x5+21933*x6+11233*x7+30530*x8+3084
+1*x2*x4*x8^5+5839*x1*x8^6+22310*x2*x8^6+10040*x3*x8^6+11942*x4*x8^6+10317*x5*x8^6+6430*x6*x8^6+10022*x7*x8^6+31574*x8^7+22757*x2*x4*x8^4+10654*x4^2*x8^4+28139*x1*x5*x8^4+26471*x2*x5*x8^4+27530*x3*x5*x8^4+31433*x4*x5*x8^4+2180*x5^2*x8^4+22984*x1*x6*x8^4+31559*x2*x6*x8^4+18348*x3*x6*x8^4+860*x4*x6*x8^4+5572*x5*x6*x8^4+14843*x6^2*x8^4+22698*x1*x7*x8^4+22342*x2*x7*x8^4+22499*x3*x7*x8^4+284*x4*x7*x8^4+23563*x5*x7*x8^4+30913*x6*x7*x8^4+6835*x7^2*x8^4+19023*x1*x8^5+17890*x2*x8^5+22455*x3*x8^5+16545*x4*x8^5+7341*x5*x8^5+7924*x6*x8^5+31354*x7*x8^5+11245*x8^6+22703*x3*x5*x6*x8^2+26293*x4*x5*x6*x8^2+11140*x5^2*x6*x8^2+29456*x1*x6^2*x8^2+23545*x2*x6^2*x8^2+8389*x3*x6^2*x8^2+15958*x4*x6^2*x8^2+1725*x5*x6^2*x8^2+25647*x6^3*x8^2+12739*x2*x4*x7*x8^2+30243*x1*x5*x7*x8^2+9634*x2*x5*x7*x8^2+20852*x3*x5*x7*x8^2+11512*x4*x5*x7*x8^2+23347*x5^2*x7*x8^2+1118*x1*x6*x7*x8^2+24660*x2*x6*x7*x8^2+11814*x3*x6*x7*x8^2+7437*x4*x6*x7*x8^2+21647*x5*x6*x7*x8^2+492*x6^2*x7*x8^2+27594*x1*x7^2*x8^2+10242*x2*x7^2*x8^2+12060*x3*x7^2*x8^2+12729*x4*x7^2*x8^2+11545*x5*x7^2*x8^2+1389*x6*x7^2*x8^2+19242*x7^3*x8^2+18152*x2*x4*x8^3+14780*x4^2*x8^3+4636*x1*x5*x8^3+17623*x2*x5*x8^3+26584*x3*x5*x8^3+18411*x4*x5*x8^3+9238*x5^2*x8^3+20328*x1*x6*x8^3+1519*x2*x6*x8^3+15451*x3*x6*x8^3+1320*x4*x6*x8^3+27601*x5*x6*x8^3+10359*x6^2*x8^3+13875*x1*x7*x8^3+16944*x2*x7*x8^3+24886*x3*x7*x8^3+2868*x4*x7*x8^3+15283*x5*x7*x8^3+6974*x6*x7*x8^3+8775*x7^2*x8^3+26562*x1*x8^4+26707*x2*x8^4+30660*x3*x8^4+20844*x4*x8^4+7698*x5*x8^4+2611*x6*x8^4+5509*x7*x8^4+2188*x8^5+10218*x5^2*x7^2+14841*x1*x6*x7^2+24203*x2*x6*x7^2+28*x3*x6*x7^2+17523*x4*x6*x7^2+4728*x5*x6*x7^2+4456*x6^2*x7^2+14788*x1*x7^3+17494*x2*x7^3+14053*x3*x7^3+7421*x4*x7^3+30294*x5*x7^3+12885*x6*x7^3+19216*x7^4+27992*x3*x5*x6*x8+9773*x4*x5*x6*x8+10880*x5^2*x6*x8+1020*x1*x6^2*x8+21520*x2*x6^2*x8+3408*x3*x6^2*x8+26208*x4*x6^2*x8+12976*x5*x6^2*x8+26799*x6^3*x8+7714*x2*x4*x7*x8+12621*x1*x5*x7*x8+16308*x2*x5*x7*x8+24114*x3*x5*x7*x8+9860*x4*x5*x7*x8+20866*x5^2*x7*x8+24096*x1*x6*x7*x8+23204*x2*x6*x7*x8+1326*x3*x6*x7*x8+7004*x4*x6*x7*x8+14289*x5*x6*x7*x8+26370*x6^2*x7*x8+31784*x1*x7^2*x8+26188*x2*x7^2*x8+14141*x3*x7^2*x8+19956*x4*x7^2*x8+11019*x5*x7^2*x8+7221*x6*x7^2*x8+6986*x7^3*x8+13343*x2*x4*x8^2+17540*x4^2*x8^2+11571*x1*x5*x8^2+12370*x2*x5*x8^2+7507*x3*x5*x8^2+27296*x4*x5*x8^2+17739*x5^2*x8^2+21948*x1*x6*x8^2+27720*x2*x6*x8^2+30632*x3*x6*x8^2+28954*x4*x6*x8^2+22185*x5*x6*x8^2+25164*x6^2*x8^2+16512*x1*x7*x8^2+11790*x2*x7*x8^2+17069*x3*x7*x8^2+15386*x4*x7*x8^2+14760*x5*x7*x8^2+22929*x6*x7*x8^2+27971*x7^2*x8^2+1600*x1*x8^3+7093*x2*x8^3+11814*x3*x8^3+16868*x4*x8^3+17361*x5*x8^3+1700*x6*x8^3+13940*x7*x8^3+30600*x8^4+5812*x3*x5*x6+2979*x4*x5*x6+19709*x5^2*x6+21643*x1*x6^2+16574*x2*x6^2+14185*x3*x6^2+5728*x4*x6^2+10590*x5*x6^2+6451*x6^3+10389*x2*x4*x7+4016*x1*x5*x7+27232*x2*x5*x7+17898*x3*x5*x7+18603*x4*x5*x7+22961*x5^2*x7+24198*x1*x6*x7+4201*x2*x6*x7+12763*x3*x6*x7+21507*x4*x6*x7+27581*x5*x6*x7+24253*x6^2*x7+4886*x1*x7^2+31311*x2*x7^2+458*x3*x7^2+14623*x4*x7^2+11404*x5*x7^2+584*x6*x7^2+5048*x7^3+3183*x2*x4*x8+19867*x4^2*x8+21249*x1*x5*x8+17151*x2*x5*x8+21582*x3*x5*x8+8175*x4*x5*x8+19083*x5^2*x8+11169*x1*x6*x8+30745*x2*x6*x8+21718*x3*x6*x8+14441*x4*x6*x8+8655*x5*x6*x8+998*x6^2*x8+1005*x1*x7*x8+1851*x2*x7*x8+10163*x3*x7*x8+9885*x4*x7*x8+2008*x5*x7*x8+29943*x6*x7*x8+31493*x7^2*x8+19266*x1*x8^2+12252*x2*x8^2+14865*x3*x8^2+26926*x4*x8^2+27046*x5*x8^2+29205*x6*x8^2+3232*x7*x8^2+6823*x8^3+28977*x2*x4+8924*x4^2+29846*x1*x5+11708*x2*x5+14476*x3*x5+21515*x4*x5+26172*x5^2+22531*x1*x6+19216*x2*x6+14257*x3*x6+31163*x4*x6+31126*x5*x6+10726*x6^2+30926*x1*x7+6095*x2*x7+5188*x3*x7+30456*x4*x7+3801*x5*x7+15621*x6*x7+3390*x7^2+1125*x1*x8+26104*x2*x8+26671*x3*x8+9812*x4*x8+4756*x5*x8+3552*x6*x8+3437*x7*x8+19041*x8^2+7728*x1+21905*x2+4881*x3+1613*x4+4003*x5+13107*x6+25389*x7+3098*x8+22899
+1*x7*x8^7+23889*x8^8+27656*x1*x8^6+20261*x2*x8^6+30876*x3*x8^6+13688*x4*x8^6+29386*x5*x8^6+3733*x6*x8^6+223*x7*x8^6+14904*x8^7+1017*x2*x4*x8^4+30191*x4^2*x8^4+18683*x1*x5*x8^4+30289*x2*x5*x8^4+16819*x3*x5*x8^4+2773*x4*x5*x8^4+866*x5^2*x8^4+16502*x1*x6*x8^4+24224*x2*x6*x8^4+4396*x3*x6*x8^4+4860*x4*x6*x8^4+30213*x5*x6*x8^4+23864*x6^2*x8^4+21343*x1*x7*x8^4+13085*x2*x7*x8^4+4029*x3*x7*x8^4+26762*x4*x7*x8^4+6027*x5*x7*x8^4+24039*x6*x7*x8^4+18113*x7^2*x8^4+12397*x1*x8^5+12740*x2*x8^5+19529*x3*x8^5+28577*x4*x8^5+26230*x5*x8^5+12015*x6*x8^5+23768*x7*x8^5+6896*x8^6+12193*x3*x5*x6*x8^2+12132*x4*x5*x6*x8^2+19651*x5^2*x6*x8^2+6957*x1*x6^2*x8^2+883*x2*x6^2*x8^2+31304*x3*x6^2*x8^2+31146*x4*x6^2*x8^2+25075*x5*x6^2*x8^2+21265*x6^3*x8^2+4347*x2*x4*x7*x8^2+9612*x1*x5*x7*x8^2+29019*x2*x5*x7*x8^2+2275*x3*x5*x7*x8^2+29274*x4*x5*x7*x8^2+3167*x5^2*x7*x8^2+22554*x1*x6*x7*x8^2+31206*x2*x6*x7*x8^2+24823*x3*x6*x7*x8^2+19732*x4*x6*x7*x8^2+11119*x5*x6*x7*x8^2+13268*x6^2*x7*x8^2+6019*x1*x7^2*x8^2+31015*x2*x7^2*x8^2+23147*x3*x7^2*x8^2+15011*x4*x7^2*x8^2+8040*x5*x7^2*x8^2+30867*x6*x7^2*x8^2+14415*x7^3*x8^2+27504*x2*x4*x8^3+19904*x4^2*x8^3+21859*x1*x5*x8^3+4393*x2*x5*x8^3+14172*x3*x5*x8^3+8273*x4*x5*x8^3+7838*x5^2*x8^3+23348*x1*x6*x8^3+26669*x2*x6*x8^3+28223*x3*x6*x8^3+7311*x4*x6*x8^3+7403*x5*x6*x8^3+22896*x6^2*x8^3+7465*x1*x7*x8^3+15803*x2*x7*x8^3+28384*x3*x7*x8^3+8161*x4*x7*x8^3+16323*x5*x7*x8^3+27001*x6*x7*x8^3+21817*x7^2*x8^3+18519*x1*x8^4+5834*x2*x8^4+19510*x3*x8^4+15130*x4*x8^4+16801*x5*x8^4+11648*x6*x8^4+19012*x7*x8^4+5585*x8^5+8585*x5^2*x7^2+23297*x1*x6*x7^2+29316*x2*x6*x7^2+13537*x3*x6*x7^2+5425*x4*x6*x7^2+23106*x5*x6*x7^2+17590*x6^2*x7^2+138*x1*x7^3+17626*x2*x7^3+18910*x3*x7^3+20982*x4*x7^3+27447*x5*x7^3+24670*x6*x7^3+23950*x7^4+1309*x3*x5*x6*x8+24575*x4*x5*x6*x8+26427*x5^2*x6*x8+17291*x1*x6^2*x8+123*x2*x6^2*x8+11105*x3*x6^2*x8+23388*x4*x6^2*x8+13015*x5*x6^2*x8+9491*x6^3*x8+6558*x2*x4*x7*x8+5830*x1*x5*x7*x8+31963*x2*x5*x7*x8+24818*x3*x5*x7*x8+26588*x4*x5*x7*x8+9431*x5^2*x7*x8+22691*x1*x6*x7*x8+5396*x2*x6*x7*x8+24602*x3*x6*x7*x8+10523*x4*x6*x7*x8+9128*x5*x6*x7*x8+24965*x6^2*x7*x8+20074*x1*x7^2*x8+25152*x2*x7^2*x8+1826*x3*x7^2*x8+26041*x4*x7^2*x8+28546*x5*x7^2*x8+9681*x6*x7^2*x8+22348*x7^3*x8+9938*x2*x4*x8^2+19534*x4^2*x8^2+5783*x1*x5*x8^2+29891*x2*x5*x8^2+12574*x3*x5*x8^2+24081*x4*x5*x8^2+21630*x5^2*x8^2+16906*x1*x6*x8^2+29633*x2*x6*x8^2+26564*x3*x6*x8^2+10991*x4*x6*x8^2+2233*x5*x6*x8^2+9774*x6^2*x8^2+18389*x1*x7*x8^2+30957*x2*x7*x8^2+30668*x3*x7*x8^2+16407*x4*x7*x8^2+17037*x5*x7*x8^2+28223*x6*x7*x8^2+29678*x7^2*x8^2+13771*x1*x8^3+18504*x2*x8^3+10732*x3*x8^3+30434*x4*x8^3+6281*x5*x8^3+10352*x6*x8^3+29716*x7*x8^3+11804*x8^4+20193*x3*x5*x6+8443*x4*x5*x6+6438*x5^2*x6+10338*x1*x6^2+1653*x2*x6^2+3889*x3*x6^2+13076*x4*x6^2+17685*x5*x6^2+4428*x6^3+27693*x2*x4*x7+6902*x1*x5*x7+24313*x2*x5*x7+4518*x3*x5*x7+19691*x4*x5*x7+10906*x5^2*x7+1449*x1*x6*x7+4500*x2*x6*x7+1925*x3*x6*x7+6277*x4*x6*x7+11654*x5*x6*x7+23249*x6^2*x7+12025*x1*x7^2+29048*x2*x7^2+17182*x3*x7^2+11010*x4*x7^2+9991*x5*x7^2+25538*x6*x7^2+22455*x7^3+7989*x2*x4*x8+3191*x4^2*x8+25508*x1*x5*x8+9022*x2*x5*x8+30353*x3*x5*x8+15815*x4*x5*x8+10375*x5^2*x8+23699*x1*x6*x8+2775*x2*x6*x8+22779*x3*x6*x8+25531*x4*x6*x8+27906*x5*x6*x8+6533*x6^2*x8+27504*x1*x7*x8+20765*x2*x7*x8+15129*x3*x7*x8+31908*x4*x7*x8+24209*x5*x7*x8+3104*x6*x7*x8+22515*x7^2*x8+14232*x1*x8^2+21862*x2*x8^2+24056*x3*x8^2+15817*x4*x8^2+17730*x5*x8^2+6410*x6*x8^2+26338*x7*x8^2+14854*x8^3+13901*x2*x4+18334*x4^2+10425*x1*x5+11809*x2*x5+286*x3*x5+4849*x4*x5+4587*x5^2+20432*x1*x6+28666*x2*x6+7335*x3*x6+14824*x4*x6+24308*x5*x6+14288*x6^2+28002*x1*x7+22046*x2*x7+13298*x3*x7+14132*x4*x7+18613*x5*x7+696*x6*x7+26715*x7^2+12256*x1*x8+24707*x2*x8+15554*x3*x8+8523*x4*x8+25499*x5*x8+9102*x6*x8+17633*x7*x8+29543*x8^2+10389*x1+692*x2+17314*x3+3422*x4+20679*x5+2345*x6+12500*x7+11954*x8+29380
+1*x6*x8^7+17659*x8^8+22570*x1*x8^6+7699*x2*x8^6+641*x3*x8^6+20448*x4*x8^6+29306*x5*x8^6+19240*x6*x8^6+23501*x7*x8^6+24906*x8^7+16727*x2*x4*x8^4+15171*x4^2*x8^4+27427*x1*x5*x8^4+3747*x2*x5*x8^4+13253*x3*x5*x8^4+11927*x4*x5*x8^4+24850*x5^2*x8^4+22616*x1*x6*x8^4+14086*x2*x6*x8^4+13811*x3*x6*x8^4+4294*x4*x6*x8^4+15493*x5*x6*x8^4+7974*x6^2*x8^4+23818*x1*x7*x8^4+10900*x2*x7*x8^4+25919*x3*x7*x8^4+11356*x4*x7*x8^4+622*x5*x7*x8^4+23851*x6*x7*x8^4+13938*x7^2*x8^4+25595*x1*x8^5+18269*x2*x8^5+17344*x3*x8^5+30567*x4*x8^5+7811*x5*x8^5+664*x6*x8^5+7228*x7*x8^5+5234*x8^6+13904*x3*x5*x6*x8^2+10793*x4*x5*x6*x8^2+17648*x5^2*x6*x8^2+3372*x1*x6^2*x8^2+18138*x2*x6^2*x8^2+24616*x3*x6^2*x8^2+10197*x4*x6^2*x8^2+14202*x5*x6^2*x8^2+22966*x6^3*x8^2+19382*x2*x4*x7*x8^2+12457*x1*x5*x7*x8^2+17040*x2*x5*x7*x8^2+16241*x3*x5*x7*x8^2+2455*x4*x5*x7*x8^2+11275*x5^2*x7*x8^2+26805*x1*x6*x7*x8^2+23013*x2*x6*x7*x8^2+13822*x3*x6*x7*x8^2+15805*x4*x6*x7*x8^2+28193*x5*x6*x7*x8^2+29748*x6^2*x7*x8^2+19047*x1*x7^2*x8^2+4990*x2*x7^2*x8^2+25244*x3*x7^2*x8^2+14976*x4*x7^2*x8^2+5434*x5*x7^2*x8^2+25226*x6*x7^2*x8^2+13698*x7^3*x8^2+2257*x2*x4*x8^3+14246*x4^2*x8^3+4402*x1*x5*x8^3+1967*x2*x5*x8^3+2760*x3*x5*x8^3+7129*x4*x5*x8^3+16235*x5^2*x8^3+5344*x1*x6*x8^3+1612*x2*x6*x8^3+18510*x3*x6*x8^3+8997*x4*x6*x8^3+13783*x5*x6*x8^3+29496*x6^2*x8^3+14626*x1*x7*x8^3+21789*x2*x7*x8^3+8376*x3*x7*x8^3+7727*x4*x7*x8^3+8716*x5*x7*x8^3+25487*x6*x7*x8^3+898*x7^2*x8^3+30993*x1*x8^4+26655*x2*x8^4+3992*x3*x8^4+25349*x4*x8^4+17503*x5*x8^4+26977*x6*x8^4+23027*x7*x8^4+8644*x8^5+12972*x5^2*x7^2+6300*x1*x6*x7^2+30291*x2*x6*x7^2+24441*x3*x6*x7^2+19919*x4*x6*x7^2+4752*x5*x6*x7^2+24624*x6^2*x7^2+20060*x1*x7^3+31971*x2*x7^3+4079*x3*x7^3+26844*x4*x7^3+404*x5*x7^3+27731*x6*x7^3+29082*x7^4+25665*x3*x5*x6*x8+13552*x4*x5*x6*x8+31458*x5^2*x6*x8+31429*x1*x6^2*x8+23756*x2*x6^2*x8+21441*x3*x6^2*x8+31550*x4*x6^2*x8+12274*x5*x6^2*x8+6118*x6^3*x8+23315*x2*x4*x7*x8+4198*x1*x5*x7*x8+5373*x2*x5*x7*x8+27195*x3*x5*x7*x8+337*x4*x5*x7*x8+14322*x5^2*x7*x8+24429*x1*x6*x7*x8+31670*x2*x6*x7*x8+4309*x3*x6*x7*x8+28649*x4*x6*x7*x8+14557*x5*x6*x7*x8+9702*x6^2*x7*x8+25835*x1*x7^2*x8+7590*x2*x7^2*x8+23217*x3*x7^2*x8+30901*x4*x7^2*x8+10731*x5*x7^2*x8+14985*x6*x7^2*x8+20250*x7^3*x8+1736*x2*x4*x8^2+8541*x4^2*x8^2+9611*x1*x5*x8^2+20975*x2*x5*x8^2+6588*x3*x5*x8^2+1820*x4*x5*x8^2+15941*x5^2*x8^2+1122*x1*x6*x8^2+19453*x2*x6*x8^2+1167*x3*x6*x8^2+11000*x4*x6*x8^2+9141*x5*x6*x8^2+14694*x6^2*x8^2+9128*x1*x7*x8^2+12166*x2*x7*x8^2+27947*x3*x7*x8^2+15112*x4*x7*x8^2+21025*x5*x7*x8^2+25916*x6*x7*x8^2+9828*x7^2*x8^2+27792*x1*x8^3+15918*x2*x8^3+20496*x3*x8^3+10467*x4*x8^3+22230*x5*x8^3+25746*x6*x8^3+19821*x7*x8^3+22211*x8^4+8845*x3*x5*x6+26050*x4*x5*x6+18383*x5^2*x6+1950*x1*x6^2+17881*x2*x6^2+6191*x3*x6^2+14059*x4*x6^2+11620*x5*x6^2+24412*x6^3+16275*x2*x4*x7+5679*x1*x5*x7+19041*x2*x5*x7+15212*x3*x5*x7+5167*x4*x5*x7+8018*x5^2*x7+4972*x1*x6*x7+19808*x2*x6*x7+1444*x3*x6*x7+9518*x4*x6*x7+3519*x5*x6*x7+17790*x6^2*x7+21849*x1*x7^2+9799*x2*x7^2+19303*x3*x7^2+2540*x4*x7^2+7349*x5*x7^2+28*x6*x7^2+13588*x7^3+21090*x2*x4*x8+1392*x4^2*x8+5543*x1*x5*x8+17183*x2*x5*x8+20087*x3*x5*x8+8070*x4*x5*x8+11510*x5^2*x8+28234*x1*x6*x8+30437*x2*x6*x8+30608*x3*x6*x8+14889*x4*x6*x8+31712*x5*x6*x8+24022*x6^2*x8+22221*x1*x7*x8+497*x2*x7*x8+2768*x3*x7*x8+23659*x4*x7*x8+19617*x5*x7*x8+15793*x6*x7*x8+17148*x7^2*x8+23226*x1*x8^2+23901*x2*x8^2+21627*x3*x8^2+18366*x4*x8^2+20289*x5*x8^2+4330*x6*x8^2+6264*x7*x8^2+641*x8^3+19469*x2*x4+17389*x4^2+15274*x1*x5+19065*x2*x5+29719*x3*x5+7331*x4*x5+31301*x5^2+105*x1*x6+9392*x2*x6+26334*x3*x6+15375*x4*x6+27080*x5*x6+8223*x6^2+12358*x1*x7+29126*x2*x7+2257*x3*x7+14686*x4*x7+5578*x5*x7+20190*x6*x7+16446*x7^2+29759*x1*x8+27459*x2*x8+19784*x3*x8+2269*x4*x8+1718*x5*x8+30181*x6*x8+28606*x7*x8+10290*x8^2+30231*x1+12653*x2+11720*x3+5304*x4+14784*x5+24980*x6+11718*x7+15389*x8+9143
+1*x5*x8^7+28103*x8^8+3738*x1*x8^6+2197*x2*x8^6+13374*x3*x8^6+27294*x4*x8^6+14135*x5*x8^6+25457*x6*x8^6+24772*x7*x8^6+14394*x8^7+9378*x2*x4*x8^4+20037*x4^2*x8^4+23818*x1*x5*x8^4+28873*x2*x5*x8^4+5236*x3*x5*x8^4+13781*x4*x5*x8^4+19729*x5^2*x8^4+843*x1*x6*x8^4+29683*x2*x6*x8^4+3157*x3*x6*x8^4+6380*x4*x6*x8^4+991*x5*x6*x8^4+8490*x6^2*x8^4+516*x1*x7*x8^4+31964*x2*x7*x8^4+22213*x3*x7*x8^4+1874*x4*x7*x8^4+29749*x5*x7*x8^4+25659*x6*x7*x8^4+9867*x7^2*x8^4+5422*x1*x8^5+24987*x2*x8^5+22006*x3*x8^5+30815*x4*x8^5+20920*x5*x8^5+13312*x6*x8^5+12218*x7*x8^5+9266*x8^6+4258*x3*x5*x6*x8^2+26792*x4*x5*x6*x8^2+30527*x5^2*x6*x8^2+29743*x1*x6^2*x8^2+18289*x2*x6^2*x8^2+9531*x3*x6^2*x8^2+27974*x4*x6^2*x8^2+15524*x5*x6^2*x8^2+26830*x6^3*x8^2+23857*x2*x4*x7*x8^2+4109*x1*x5*x7*x8^2+7421*x2*x5*x7*x8^2+24331*x3*x5*x7*x8^2+4619*x4*x5*x7*x8^2+19082*x5^2*x7*x8^2+9725*x1*x6*x7*x8^2+9407*x2*x6*x7*x8^2+19732*x3*x6*x7*x8^2+859*x4*x6*x7*x8^2+26830*x5*x6*x7*x8^2+3904*x6^2*x7*x8^2+1409*x1*x7^2*x8^2+16375*x2*x7^2*x8^2+10073*x3*x7^2*x8^2+26830*x4*x7^2*x8^2+17454*x5*x7^2*x8^2+3237*x6*x7^2*x8^2+6036*x7^3*x8^2+4544*x2*x4*x8^3+5544*x4^2*x8^3+27220*x1*x5*x8^3+1689*x2*x5*x8^3+28836*x3*x5*x8^3+7909*x4*x5*x8^3+6351*x5^2*x8^3+12425*x1*x6*x8^3+20073*x2*x6*x8^3+10644*x3*x6*x8^3+20802*x4*x6*x8^3+13924*x5*x6*x8^3+30234*x6^2*x8^3+18305*x1*x7*x8^3+13315*x2*x7*x8^3+25502*x3*x7*x8^3+11263*x4*x7*x8^3+23281*x5*x7*x8^3+31962*x6*x7*x8^3+14310*x7^2*x8^3+27917*x1*x8^4+2187*x2*x8^4+6624*x3*x8^4+6169*x4*x8^4+3124*x5*x8^4+19752*x6*x8^4+24795*x7*x8^4+28637*x8^5+4596*x5^2*x7^2+17214*x1*x6*x7^2+27728*x2*x6*x7^2+29282*x3*x6*x7^2+8641*x4*x6*x7^2+120*x5*x6*x7^2+12804*x6^2*x7^2+8007*x1*x7^3+5770*x2*x7^3+11514*x3*x7^3+27752*x4*x7^3+21288*x5*x7^3+16567*x6*x7^3+11354*x7^4+15534*x3*x5*x6*x8+25372*x4*x5*x6*x8+24476*x5^2*x6*x8+31987*x1*x6^2*x8+19843*x2*x6^2*x8+23635*x3*x6^2*x8+28230*x4*x6^2*x8+1337*x5*x6^2*x8+9424*x6^3*x8+19531*x2*x4*x7*x8+6444*x1*x5*x7*x8+22794*x2*x5*x7*x8+6730*x3*x5*x7*x8+26495*x4*x5*x7*x8+21484*x5^2*x7*x8+8478*x1*x6*x7*x8+2978*x2*x6*x7*x8+17153*x3*x6*x7*x8+550*x4*x6*x7*x8+18623*x5*x6*x7*x8+13430*x6^2*x7*x8+1606*x1*x7^2*x8+30327*x2*x7^2*x8+31235*x3*x7^2*x8+1714*x4*x7^2*x8+25662*x5*x7^2*x8+31154*x6*x7^2*x8+4352*x7^3*x8+25789*x2*x4*x8^2+18591*x4^2*x8^2+30170*x1*x5*x8^2+14508*x2*x5*x8^2+9624*x3*x5*x8^2+897*x4*x5*x8^2+23220*x5^2*x8^2+3117*x1*x6*x8^2+26902*x2*x6*x8^2+22662*x3*x6*x8^2+25258*x4*x6*x8^2+22951*x5*x6*x8^2+2425*x6^2*x8^2+21655*x1*x7*x8^2+26051*x2*x7*x8^2+17367*x3*x7*x8^2+1998*x4*x7*x8^2+20507*x5*x7*x8^2+7063*x6*x7*x8^2+1009*x7^2*x8^2+2159*x1*x8^3+21387*x2*x8^3+14662*x3*x8^3+23372*x4*x8^3+14371*x5*x8^3+29258*x6*x8^3+5016*x7*x8^3+14299*x8^4+10527*x3*x5*x6+29623*x4*x5*x6+9098*x5^2*x6+10203*x1*x6^2+1020*x2*x6^2+30620*x3*x6^2+8761*x4*x6^2+14106*x5*x6^2+31984*x6^3+15674*x2*x4*x7+16793*x1*x5*x7+718*x2*x5*x7+1798*x3*x5*x7+20976*x4*x5*x7+7370*x5^2*x7+23946*x1*x6*x7+24893*x2*x6*x7+19294*x3*x6*x7+5998*x4*x6*x7+11787*x5*x6*x7+7042*x6^2*x7+29130*x1*x7^2+17603*x2*x7^2+10332*x3*x7^2+19136*x4*x7^2+26919*x5*x7^2+29036*x6*x7^2+11926*x7^3+7138*x2*x4*x8+25393*x4^2*x8+3064*x1*x5*x8+23924*x2*x5*x8+25170*x3*x5*x8+21712*x4*x5*x8+24023*x5^2*x8+31477*x1*x6*x8+30346*x2*x6*x8+6258*x3*x6*x8+160*x4*x6*x8+16528*x5*x6*x8+17550*x6^2*x8+15646*x1*x7*x8+2283*x2*x7*x8+13434*x3*x7*x8+25024*x4*x7*x8+15462*x5*x7*x8+16546*x6*x7*x8+5736*x7^2*x8+4025*x1*x8^2+20242*x2*x8^2+1129*x3*x8^2+27610*x4*x8^2+6904*x5*x8^2+30947*x6*x8^2+1229*x7*x8^2+3390*x8^3+20486*x2*x4+15150*x4^2+729*x1*x5+9146*x2*x5+24692*x3*x5+23214*x4*x5+29432*x5^2+16400*x1*x6+2413*x2*x6+3464*x3*x6+6453*x4*x6+20830*x5*x6+29519*x6^2+8570*x1*x7+29678*x2*x7+27857*x3*x7+18069*x4*x7+29490*x5*x7+25113*x6*x7+21603*x7^2+18977*x1*x8+19512*x2*x8+15494*x3*x8+23696*x4*x8+11016*x5*x8+2430*x6*x8+4618*x7*x8+1619*x8^2+28025*x1+19187*x2+26078*x3+7528*x4+17681*x5+23258*x6+26973*x7+1621*x8+21132
+1*x4*x8^7+4707*x8^8+1586*x1*x8^6+30318*x2*x8^6+19619*x3*x8^6+4058*x4*x8^6+13780*x5*x8^6+31985*x6*x8^6+8679*x7*x8^6+6506*x8^7+4282*x2*x4*x8^4+28484*x4^2*x8^4+15655*x1*x5*x8^4+7488*x2*x5*x8^4+9704*x3*x5*x8^4+30895*x4*x5*x8^4+19053*x5^2*x8^4+10388*x1*x6*x8^4+4010*x2*x6*x8^4+12365*x3*x6*x8^4+12912*x4*x6*x8^4+24492*x5*x6*x8^4+9064*x6^2*x8^4+13507*x1*x7*x8^4+20890*x2*x7*x8^4+11797*x3*x7*x8^4+19415*x4*x7*x8^4+30453*x5*x7*x8^4+1291*x6*x7*x8^4+21801*x7^2*x8^4+31613*x1*x8^5+3104*x2*x8^5+1160*x3*x8^5+8120*x4*x8^5+8355*x5*x8^5+3599*x6*x8^5+19877*x7*x8^5+14959*x8^6+18489*x3*x5*x6*x8^2+4835*x4*x5*x6*x8^2+269*x5^2*x6*x8^2+6372*x1*x6^2*x8^2+31352*x2*x6^2*x8^2+17368*x3*x6^2*x8^2+27244*x4*x6^2*x8^2+13090*x5*x6^2*x8^2+29126*x6^3*x8^2+8858*x2*x4*x7*x8^2+976*x1*x5*x7*x8^2+16445*x2*x5*x7*x8^2+13886*x3*x5*x7*x8^2+30138*x4*x5*x7*x8^2+30125*x5^2*x7*x8^2+25712*x1*x6*x7*x8^2+9599*x2*x6*x7*x8^2+3612*x3*x6*x7*x8^2+5777*x4*x6*x7*x8^2+24118*x5*x6*x7*x8^2+16969*x6^2*x7*x8^2+27455*x1*x7^2*x8^2+16634*x2*x7^2*x8^2+27068*x3*x7^2*x8^2+28602*x4*x7^2*x8^2+27726*x5*x7^2*x8^2+27115*x6*x7^2*x8^2+23165*x7^3*x8^2+5890*x2*x4*x8^3+20372*x4^2*x8^3+22121*x1*x5*x8^3+23984*x2*x5*x8^3+6702*x3*x5*x8^3+2970*x4*x5*x8^3+7475*x5^2*x8^3+14682*x1*x6*x8^3+25670*x2*x6*x8^3+11538*x3*x6*x8^3+17069*x4*x6*x8^3+31828*x5*x6*x8^3+29927*x6^2*x8^3+794*x1*x7*x8^3+30181*x2*x7*x8^3+26827*x3*x7*x8^3+27048*x4*x7*x8^3+25848*x5*x7*x8^3+9335*x6*x7*x8^3+5196*x7^2*x8^3+9572*x1*x8^4+6359*x2*x8^4+4651*x3*x8^4+26263*x4*x8^4+5219*x5*x8^4+7554*x6*x8^4+15795*x7*x8^4+12121*x8^5+13498*x5^2*x7^2+15903*x1*x6*x7^2+15976*x2*x6*x7^2+2910*x3*x6*x7^2+15526*x4*x6*x7^2+15128*x5*x6*x7^2+15898*x6^2*x7^2+8627*x1*x7^3+25038*x2*x7^3+19485*x3*x7^3+17978*x4*x7^3+16557*x5*x7^3+5465*x6*x7^3+2057*x7^4+341*x3*x5*x6*x8+21832*x4*x5*x6*x8+16525*x5^2*x6*x8+21044*x1*x6^2*x8+2249*x2*x6^2*x8+9679*x3*x6^2*x8+13850*x4*x6^2*x8+8279*x5*x6^2*x8+18330*x6^3*x8+25678*x2*x4*x7*x8+16776*x1*x5*x7*x8+8830*x2*x5*x7*x8+15939*x3*x5*x7*x8+2756*x4*x5*x7*x8+30021*x5^2*x7*x8+28057*x1*x6*x7*x8+22353*x2*x6*x7*x8+1117*x3*x6*x7*x8+31885*x4*x6*x7*x8+22572*x5*x6*x7*x8+1155*x6^2*x7*x8+30505*x1*x7^2*x8+14373*x2*x7^2*x8+19842*x3*x7^2*x8+12646*x4*x7^2*x8+16984*x5*x7^2*x8+5487*x6*x7^2*x8+16036*x7^3*x8+10701*x2*x4*x8^2+3008*x4^2*x8^2+28050*x1*x5*x8^2+1951*x2*x5*x8^2+21599*x3*x5*x8^2+23969*x4*x5*x8^2+30080*x5^2*x8^2+20657*x1*x6*x8^2+19463*x2*x6*x8^2+15419*x3*x6*x8^2+22378*x4*x6*x8^2+25620*x5*x6*x8^2+21013*x6^2*x8^2+13545*x1*x7*x8^2+27869*x2*x7*x8^2+5931*x3*x7*x8^2+23009*x4*x7*x8^2+12925*x5*x7*x8^2+16742*x6*x7*x8^2+16436*x7^2*x8^2+19570*x1*x8^3+31180*x2*x8^3+20831*x3*x8^3+11458*x4*x8^3+7470*x5*x8^3+31243*x6*x8^3+431*x7*x8^3+23165*x8^4+14163*x3*x5*x6+23927*x4*x5*x6+1074*x5^2*x6+10673*x1*x6^2+9380*x2*x6^2+17305*x3*x6^2+6063*x4*x6^2+28072*x5*x6^2+15341*x6^3+25859*x2*x4*x7+13493*x1*x5*x7+30807*x2*x5*x7+11902*x3*x5*x7+30613*x4*x5*x7+31187*x5^2*x7+24014*x1*x6*x7+20058*x2*x6*x7+2984*x3*x6*x7+19584*x4*x6*x7+9300*x5*x6*x7+14242*x6^2*x7+22538*x1*x7^2+20299*x2*x7^2+20584*x3*x7^2+19391*x4*x7^2+26017*x5*x7^2+1609*x6*x7^2+16098*x7^3+31931*x2*x4*x8+30570*x4^2*x8+2193*x1*x5*x8+31860*x2*x5*x8+6097*x3*x5*x8+25072*x4*x5*x8+10453*x5^2*x8+29388*x1*x6*x8+16404*x2*x6*x8+23509*x3*x6*x8+31996*x4*x6*x8+28591*x5*x6*x8+10784*x6^2*x8+8099*x1*x7*x8+19944*x2*x7*x8+23219*x3*x7*x8+16306*x4*x7*x8+26925*x5*x7*x8+11565*x6*x7*x8+31319*x7^2*x8+14995*x1*x8^2+3623*x2*x8^2+4457*x3*x8^2+23261*x4*x8^2+1752*x5*x8^2+11976*x6*x8^2+22827*x7*x8^2+14869*x8^3+3614*x2*x4+24224*x4^2+31004*x1*x5+4951*x2*x5+26659*x3*x5+14390*x4*x5+11362*x5^2+10242*x1*x6+24991*x2*x6+31960*x3*x6+18049*x4*x6+27637*x5*x6+22571*x6^2+8511*x1*x7+7221*x2*x7+18817*x3*x7+4064*x4*x7+24604*x5*x7+12388*x6*x7+27757*x7^2+6017*x1*x8+23116*x2*x8+7025*x3*x8+17623*x4*x8+21318*x5*x8+12855*x6*x8+5452*x7*x8+11999*x8^2+5195*x1+19358*x2+6710*x3+29731*x4+30539*x5+9416*x6+13254*x7+25122*x8+22305
+1*x3*x8^7+10928*x8^8+11760*x1*x8^6+17318*x2*x8^6+5803*x3*x8^6+13675*x4*x8^6+14704*x5*x8^6+1314*x6*x8^6+4049*x7*x8^6+26638*x8^7+15098*x2*x4*x8^4+31468*x4^2*x8^4+2804*x1*x5*x8^4+26875*x2*x5*x8^4+27346*x3*x5*x8^4+23668*x4*x5*x8^4+7220*x5^2*x8^4+22981*x1*x6*x8^4+4201*x2*x6*x8^4+23649*x3*x6*x8^4+19819*x4*x6*x8^4+13403*x5*x6*x8^4+11131*x6^2*x8^4+4038*x1*x7*x8^4+26272*x2*x7*x8^4+6772*x3*x7*x8^4+1567*x4*x7*x8^4+28334*x5*x7*x8^4+13288*x6*x7*x8^4+10148*x7^2*x8^4+29637*x1*x8^5+24048*x2*x8^5+30589*x3*x8^5+5128*x4*x8^5+13398*x5*x8^5+17163*x6*x8^5+9388*x7*x8^5+20598*x8^6+10695*x3*x5*x6*x8^2+27338*x4*x5*x6*x8^2+27387*x5^2*x6*x8^2+8649*x1*x6^2*x8^2+2144*x2*x6^2*x8^2+1740*x3*x6^2*x8^2+29347*x4*x6^2*x8^2+31068*x5*x6^2*x8^2+13608*x6^3*x8^2+6457*x2*x4*x7*x8^2+17666*x1*x5*x7*x8^2+17905*x2*x5*x7*x8^2+2002*x3*x5*x7*x8^2+29820*x4*x5*x7*x8^2+20771*x5^2*x7*x8^2+14659*x1*x6*x7*x8^2+8913*x2*x6*x7*x8^2+3857*x3*x6*x7*x8^2+30684*x4*x6*x7*x8^2+20572*x5*x6*x7*x8^2+22296*x6^2*x7*x8^2+29773*x1*x7^2*x8^2+13853*x2*x7^2*x8^2+10163*x3*x7^2*x8^2+1553*x4*x7^2*x8^2+17524*x5*x7^2*x8^2+25801*x6*x7^2*x8^2+12397*x7^3*x8^2+12747*x2*x4*x8^3+17828*x4^2*x8^3+12378*x1*x5*x8^3+10195*x2*x5*x8^3+12712*x3*x5*x8^3+31833*x4*x5*x8^3+18497*x5^2*x8^3+1370*x1*x6*x8^3+24492*x2*x6*x8^3+23565*x3*x6*x8^3+2212*x4*x6*x8^3+22455*x5*x6*x8^3+3421*x6^2*x8^3+9456*x1*x7*x8^3+13221*x2*x7*x8^3+21585*x3*x7*x8^3+26994*x4*x7*x8^3+5464*x5*x7*x8^3+28689*x6*x7*x8^3+6965*x7^2*x8^3+15182*x1*x8^4+6492*x2*x8^4+4582*x3*x8^4+520*x4*x8^4+9944*x5*x8^4+25039*x6*x8^4+20606*x7*x8^4+30397*x8^5+11143*x5^2*x7^2+17638*x1*x6*x7^2+12509*x2*x6*x7^2+8667*x3*x6*x7^2+25861*x4*x6*x7^2+28287*x5*x6*x7^2+4179*x6^2*x7^2+14536*x1*x7^3+16320*x2*x7^3+21787*x3*x7^3+31236*x4*x7^3+3468*x5*x7^3+5486*x6*x7^3+9558*x7^4+22316*x3*x5*x6*x8+31172*x4*x5*x6*x8+22746*x5^2*x6*x8+26016*x1*x6^2*x8+29993*x2*x6^2*x8+18043*x3*x6^2*x8+5995*x4*x6^2*x8+9241*x5*x6^2*x8+27395*x6^3*x8+6377*x2*x4*x7*x8+28368*x1*x5*x7*x8+24453*x2*x5*x7*x8+26984*x3*x5*x7*x8+15926*x4*x5*x7*x8+22546*x5^2*x7*x8+29511*x1*x6*x7*x8+17431*x2*x6*x7*x8+29676*x3*x6*x7*x8+18008*x4*x6*x7*x8+19441*x5*x6*x7*x8+6246*x6^2*x7*x8+6279*x1*x7^2*x8+744*x2*x7^2*x8+25912*x3*x7^2*x8+28691*x4*x7^2*x8+18723*x5*x7^2*x8+30441*x6*x7^2*x8+29300*x7^3*x8+31319*x2*x4*x8^2+7947*x4^2*x8^2+17153*x1*x5*x8^2+21745*x2*x5*x8^2+29540*x3*x5*x8^2+9535*x4*x5*x8^2+25625*x5^2*x8^2+23984*x1*x6*x8^2+29084*x2*x6*x8^2+5752*x3*x6*x8^2+7274*x4*x6*x8^2+9587*x5*x6*x8^2+712*x6^2*x8^2+14105*x1*x7*x8^2+6033*x2*x7*x8^2+3*x3*x7*x8^2+30596*x4*x7*x8^2+825*x5*x7*x8^2+20340*x6*x7*x8^2+5798*x7^2*x8^2+19728*x1*x8^3+26338*x2*x8^3+8774*x3*x8^3+22005*x4*x8^3+18831*x5*x8^3+3440*x6*x8^3+23171*x7*x8^3+3243*x8^4+17911*x3*x5*x6+155*x4*x5*x6+2370*x5^2*x6+8*x1*x6^2+13486*x2*x6^2+25363*x3*x6^2+16495*x4*x6^2+6893*x5*x6^2+27946*x6^3+19516*x2*x4*x7+15391*x1*x5*x7+4958*x2*x5*x7+18903*x3*x5*x7+16845*x4*x5*x7+24097*x5^2*x7+13886*x1*x6*x7+16809*x2*x6*x7+23171*x3*x6*x7+9614*x4*x6*x7+24501*x5*x6*x7+27310*x6^2*x7+17505*x1*x7^2+816*x2*x7^2+30573*x3*x7^2+17976*x4*x7^2+11826*x5*x7^2+10359*x6*x7^2+23666*x7^3+14646*x2*x4*x8+28478*x4^2*x8+25518*x1*x5*x8+7236*x2*x5*x8+19729*x3*x5*x8+20773*x4*x5*x8+11613*x5^2*x8+2174*x1*x6*x8+6550*x2*x6*x8+7047*x3*x6*x8+31046*x4*x6*x8+31157*x5*x6*x8+22014*x6^2*x8+28615*x1*x7*x8+16633*x2*x7*x8+21817*x3*x7*x8+1775*x4*x7*x8+31463*x5*x7*x8+29198*x6*x7*x8+22582*x7^2*x8+17292*x1*x8^2+18642*x2*x8^2+9590*x3*x8^2+21675*x4*x8^2+19813*x5*x8^2+17563*x6*x8^2+14527*x7*x8^2+19081*x8^3+15155*x2*x4+15370*x4^2+5626*x1*x5+26619*x2*x5+8117*x3*x5+6357*x4*x5+28398*x5^2+7725*x1*x6+20087*x2*x6+18251*x3*x6+14935*x4*x6+13958*x5*x6+27340*x6^2+2794*x1*x7+15519*x2*x7+10086*x3*x7+26190*x4*x7+9119*x5*x7+14306*x6*x7+14260*x7^2+23232*x1*x8+16689*x2*x8+3362*x3*x8+16577*x4*x8+7362*x5*x8+6383*x6*x8+8674*x7*x8+18105*x8^2+19486*x1+7561*x2+21935*x3+30075*x4+11518*x5+7483*x6+18824*x7+16708*x8+18191
+1*x2*x8^7+30985*x8^8+8006*x1*x8^6+16053*x2*x8^6+15332*x3*x8^6+12474*x4*x8^6+1988*x5*x8^6+18663*x6*x8^6+1173*x7*x8^6+1151*x8^7+9701*x2*x4*x8^4+3622*x4^2*x8^4+12356*x1*x5*x8^4+10754*x2*x5*x8^4+1321*x3*x5*x8^4+18929*x4*x5*x8^4+2407*x5^2*x8^4+9396*x1*x6*x8^4+27464*x2*x6*x8^4+1459*x3*x6*x8^4+20437*x4*x6*x8^4+1100*x5*x6*x8^4+3959*x6^2*x8^4+5851*x1*x7*x8^4+483*x2*x7*x8^4+4266*x3*x7*x8^4+27445*x4*x7*x8^4+24914*x5*x7*x8^4+9772*x6*x7*x8^4+27775*x7^2*x8^4+29653*x1*x8^5+10990*x2*x8^5+2789*x3*x8^5+29886*x4*x8^5+16061*x5*x8^5+29123*x6*x8^5+3897*x7*x8^5+22446*x8^6+23684*x3*x5*x6*x8^2+24968*x4*x5*x6*x8^2+29737*x5^2*x6*x8^2+28267*x1*x6^2*x8^2+26218*x2*x6^2*x8^2+736*x3*x6^2*x8^2+22403*x4*x6^2*x8^2+7035*x5*x6^2*x8^2+3474*x6^3*x8^2+16077*x2*x4*x7*x8^2+13660*x1*x5*x7*x8^2+375*x2*x5*x7*x8^2+14556*x3*x5*x7*x8^2+4538*x4*x5*x7*x8^2+14696*x5^2*x7*x8^2+23833*x1*x6*x7*x8^2+3140*x2*x6*x7*x8^2+10432*x3*x6*x7*x8^2+25671*x4*x6*x7*x8^2+211*x5*x6*x7*x8^2+22108*x6^2*x7*x8^2+6810*x1*x7^2*x8^2+22120*x2*x7^2*x8^2+24474*x3*x7^2*x8^2+13189*x4*x7^2*x8^2+18267*x5*x7^2*x8^2+25394*x6*x7^2*x8^2+18906*x7^3*x8^2+16135*x2*x4*x8^3+15268*x4^2*x8^3+16854*x1*x5*x8^3+16040*x2*x5*x8^3+29166*x3*x5*x8^3+725*x4*x5*x8^3+3655*x5^2*x8^3+196*x1*x6*x8^3+15330*x2*x6*x8^3+17649*x3*x6*x8^3+15329*x4*x6*x8^3+12371*x5*x6*x8^3+27312*x6^2*x8^3+24750*x1*x7*x8^3+9019*x2*x7*x8^3+17086*x3*x7*x8^3+12212*x4*x7*x8^3+21088*x5*x7*x8^3+2584*x6*x7*x8^3+19673*x7^2*x8^3+23130*x1*x8^4+4866*x2*x8^4+31674*x3*x8^4+29331*x4*x8^4+1206*x5*x8^4+3125*x6*x8^4+12956*x7*x8^4+4322*x8^5+20096*x5^2*x7^2+10382*x1*x6*x7^2+31171*x2*x6*x7^2+9260*x3*x6*x7^2+7962*x4*x6*x7^2+6654*x5*x6*x7^2+9009*x6^2*x7^2+7265*x1*x7^3+21589*x2*x7^3+28445*x3*x7^3+23465*x4*x7^3+22828*x5*x7^3+22852*x6*x7^3+23990*x7^4+19888*x3*x5*x6*x8+30080*x4*x5*x6*x8+19728*x5^2*x6*x8+8140*x1*x6^2*x8+6466*x2*x6^2*x8+17652*x3*x6^2*x8+11830*x4*x6^2*x8+23786*x5*x6^2*x8+6025*x6^3*x8+13619*x2*x4*x7*x8+22789*x1*x5*x7*x8+9522*x2*x5*x7*x8+12983*x3*x5*x7*x8+11533*x4*x5*x7*x8+24756*x5^2*x7*x8+7190*x1*x6*x7*x8+23133*x2*x6*x7*x8+28791*x3*x6*x7*x8+3688*x4*x6*x7*x8+24229*x5*x6*x7*x8+25850*x6^2*x7*x8+6975*x1*x7^2*x8+5742*x2*x7^2*x8+19478*x3*x7^2*x8+23044*x4*x7^2*x8+9247*x5*x7^2*x8+9801*x6*x7^2*x8+30897*x7^3*x8+24856*x2*x4*x8^2+23722*x4^2*x8^2+28150*x1*x5*x8^2+31576*x2*x5*x8^2+7283*x3*x5*x8^2+13339*x4*x5*x8^2+10314*x5^2*x8^2+22830*x1*x6*x8^2+27459*x2*x6*x8^2+19844*x3*x6*x8^2+20103*x4*x6*x8^2+15683*x5*x6*x8^2+20158*x6^2*x8^2+21309*x1*x7*x8^2+7161*x2*x7*x8^2+16994*x3*x7*x8^2+28873*x4*x7*x8^2+9912*x5*x7*x8^2+8118*x6*x7*x8^2+30309*x7^2*x8^2+25127*x1*x8^3+6067*x2*x8^3+10765*x3*x8^3+8478*x4*x8^3+28972*x5*x8^3+11604*x6*x8^3+28974*x7*x8^3+31198*x8^4+21609*x3*x5*x6+15882*x4*x5*x6+12226*x5^2*x6+23272*x1*x6^2+16549*x2*x6^2+17018*x3*x6^2+8549*x4*x6^2+7893*x5*x6^2+11666*x6^3+3367*x2*x4*x7+23006*x1*x5*x7+29140*x2*x5*x7+30352*x3*x5*x7+12014*x4*x5*x7+2843*x5^2*x7+13207*x1*x6*x7+29340*x2*x6*x7+31437*x3*x6*x7+13915*x4*x6*x7+18919*x5*x6*x7+29742*x6^2*x7+20863*x1*x7^2+15909*x2*x7^2+2497*x3*x7^2+30449*x4*x7^2+20318*x5*x7^2+4786*x6*x7^2+2204*x7^3+6970*x2*x4*x8+12171*x4^2*x8+26236*x1*x5*x8+12163*x2*x5*x8+6246*x3*x5*x8+24396*x4*x5*x8+22978*x5^2*x8+5973*x1*x6*x8+24234*x2*x6*x8+16679*x3*x6*x8+31156*x4*x6*x8+15816*x5*x6*x8+7085*x6^2*x8+29002*x1*x7*x8+4152*x2*x7*x8+11689*x3*x7*x8+16686*x4*x7*x8+20916*x5*x7*x8+15562*x6*x7*x8+24243*x7^2*x8+27483*x1*x8^2+3646*x2*x8^2+8991*x3*x8^2+10217*x4*x8^2+9825*x5*x8^2+30000*x6*x8^2+10773*x7*x8^2+29943*x8^3+9492*x2*x4+29764*x4^2+13296*x1*x5+28590*x2*x5+23292*x3*x5+5014*x4*x5+57*x5^2+19960*x1*x6+2642*x2*x6+31798*x3*x6+4333*x4*x6+4374*x5*x6+21195*x6^2+31188*x1*x7+9937*x2*x7+21144*x3*x7+14262*x4*x7+29709*x5*x7+21904*x6*x7+4689*x7^2+29697*x1*x8+26325*x2*x8+22005*x3*x8+16704*x4*x8+14099*x5*x8+21961*x6*x8+22469*x7*x8+31479*x8^2+3650*x1+869*x2+15818*x3+15246*x4+20105*x5+11990*x6+7239*x7+3737*x8+29539
+1*x1*x8^7+8411*x8^8+5431*x1*x8^6+2643*x2*x8^6+27708*x3*x8^6+28422*x4*x8^6+9929*x5*x8^6+16592*x6*x8^6+5130*x7*x8^6+25671*x8^7+27535*x2*x4*x8^4+15465*x4^2*x8^4+27862*x1*x5*x8^4+15497*x2*x5*x8^4+28529*x3*x5*x8^4+21339*x4*x5*x8^4+27098*x5^2*x8^4+18990*x1*x6*x8^4+29834*x2*x6*x8^4+22398*x3*x6*x8^4+19657*x4*x6*x8^4+441*x5*x6*x8^4+21868*x6^2*x8^4+18473*x1*x7*x8^4+21818*x2*x7*x8^4+9938*x3*x7*x8^4+1800*x4*x7*x8^4+21767*x5*x7*x8^4+15423*x6*x7*x8^4+1997*x7^2*x8^4+25925*x1*x8^5+3483*x2*x8^5+3069*x3*x8^5+17520*x4*x8^5+27376*x5*x8^5+6504*x6*x8^5+4446*x7*x8^5+12700*x8^6+30000*x3*x5*x6*x8^2+7672*x4*x5*x6*x8^2+27641*x5^2*x6*x8^2+9433*x1*x6^2*x8^2+27010*x2*x6^2*x8^2+27163*x3*x6^2*x8^2+29027*x4*x6^2*x8^2+33*x5*x6^2*x8^2+6279*x6^3*x8^2+22391*x2*x4*x7*x8^2+25803*x1*x5*x7*x8^2+10963*x2*x5*x7*x8^2+7491*x3*x5*x7*x8^2+21924*x4*x5*x7*x8^2+19389*x5^2*x7*x8^2+12599*x1*x6*x7*x8^2+1500*x2*x6*x7*x8^2+22496*x3*x6*x7*x8^2+23950*x4*x6*x7*x8^2+312*x5*x6*x7*x8^2+12775*x6^2*x7*x8^2+2701*x1*x7^2*x8^2+23565*x2*x7^2*x8^2+26739*x3*x7^2*x8^2+15609*x4*x7^2*x8^2+30445*x5*x7^2*x8^2+1590*x6*x7^2*x8^2+15822*x7^3*x8^2+16042*x2*x4*x8^3+20381*x4^2*x8^3+14105*x1*x5*x8^3+29881*x2*x5*x8^3+17699*x3*x5*x8^3+12767*x4*x5*x8^3+29005*x5^2*x8^3+25606*x1*x6*x8^3+31281*x2*x6*x8^3+1504*x3*x6*x8^3+17871*x4*x6*x8^3+30920*x5*x6*x8^3+10078*x6^2*x8^3+27238*x1*x7*x8^3+29175*x2*x7*x8^3+2704*x3*x7*x8^3+18166*x4*x7*x8^3+12404*x5*x7*x8^3+4732*x6*x7*x8^3+19404*x7^2*x8^3+5944*x1*x8^4+20510*x2*x8^4+3285*x3*x8^4+10409*x4*x8^4+5562*x5*x8^4+15732*x6*x8^4+25049*x7*x8^4+1286*x8^5+13306*x5^2*x7^2+4338*x1*x6*x7^2+2303*x2*x6*x7^2+6678*x3*x6*x7^2+12648*x4*x6*x7^2+27283*x5*x6*x7^2+3834*x6^2*x7^2+7525*x1*x7^3+14165*x2*x7^3+16667*x3*x7^3+20634*x4*x7^3+3037*x5*x7^3+18055*x6*x7^3+21059*x7^4+15832*x3*x5*x6*x8+24010*x4*x5*x6*x8+26948*x5^2*x6*x8+549*x1*x6^2*x8+18360*x2*x6^2*x8+4287*x3*x6^2*x8+1550*x4*x6^2*x8+1314*x5*x6^2*x8+5923*x6^3*x8+6950*x2*x4*x7*x8+29498*x1*x5*x7*x8+17053*x2*x5*x7*x8+1463*x3*x5*x7*x8+20201*x4*x5*x7*x8+31663*x5^2*x7*x8+31546*x1*x6*x7*x8+20393*x2*x6*x7*x8+5400*x3*x6*x7*x8+25552*x4*x6*x7*x8+7770*x5*x6*x7*x8+19073*x6^2*x7*x8+31595*x1*x7^2*x8+14628*x2*x7^2*x8+2196*x3*x7^2*x8+16203*x4*x7^2*x8+30768*x5*x7^2*x8+21338*x6*x7^2*x8+4024*x7^3*x8+4564*x2*x4*x8^2+6479*x4^2*x8^2+2711*x1*x5*x8^2+18372*x2*x5*x8^2+13722*x3*x5*x8^2+21760*x4*x5*x8^2+23246*x5^2*x8^2+16397*x1*x6*x8^2+25741*x2*x6*x8^2+29352*x3*x6*x8^2+29592*x4*x6*x8^2+18936*x5*x6*x8^2+17206*x6^2*x8^2+25992*x1*x7*x8^2+18547*x2*x7*x8^2+29112*x3*x7*x8^2+2172*x4*x7*x8^2+11393*x5*x7*x8^2+28208*x6*x7*x8^2+14244*x7^2*x8^2+9992*x1*x8^3+4907*x2*x8^3+9284*x3*x8^3+22109*x4*x8^3+24727*x5*x8^3+29212*x6*x8^3+28707*x7*x8^3+19917*x8^4+4010*x3*x5*x6+24162*x4*x5*x6+22455*x5^2*x6+1243*x1*x6^2+1725*x2*x6^2+17475*x3*x6^2+13178*x4*x6^2+3581*x5*x6^2+21518*x6^3+2562*x2*x4*x7+4569*x1*x5*x7+124*x2*x5*x7+8236*x3*x5*x7+28808*x4*x5*x7+8201*x5^2*x7+25150*x1*x6*x7+9686*x2*x6*x7+30928*x3*x6*x7+3856*x4*x6*x7+18184*x5*x6*x7+6666*x6^2*x7+23537*x1*x7^2+31278*x2*x7^2+16464*x3*x7^2+21035*x4*x7^2+20891*x5*x7^2+11294*x6*x7^2+3150*x7^3+20544*x2*x4*x8+28552*x4^2*x8+31779*x1*x5*x8+4935*x2*x5*x8+5346*x3*x5*x8+31884*x4*x5*x8+19455*x5^2*x8+19257*x1*x6*x8+3352*x2*x6*x8+28491*x3*x6*x8+25609*x4*x6*x8+24147*x5*x6*x8+8361*x6^2*x8+25790*x1*x7*x8+7107*x2*x7*x8+5393*x3*x7*x8+13507*x4*x7*x8+25793*x5*x7*x8+11093*x6*x7*x8+4812*x7^2*x8+19521*x1*x8^2+14019*x2*x8^2+730*x3*x8^2+10918*x4*x8^2+22717*x5*x8^2+18458*x6*x8^2+22343*x7*x8^2+7773*x8^3+13825*x2*x4+11296*x4^2+27990*x1*x5+31413*x2*x5+29508*x3*x5+26665*x4*x5+15656*x5^2+22342*x1*x6+4516*x2*x6+26390*x3*x6+16519*x4*x6+26444*x5*x6+4553*x6^2+329*x1*x7+2704*x2*x7+28435*x3*x7+23112*x4*x7+13935*x5*x7+3067*x6*x7+28496*x7^2+11360*x1*x8+30870*x2*x8+19153*x3*x8+19244*x4*x8+5347*x5*x8+24703*x6*x8+15292*x7*x8+13545*x8^2+2202*x1+19433*x2+20393*x3+18591*x4+459*x5+6321*x6+1390*x7+6016*x8+20007
+1*x8^9+31945*x8^8+599*x1*x8^6+17669*x2*x8^6+31828*x3*x8^6+4958*x4*x8^6+3676*x5*x8^6+11427*x6*x8^6+23150*x7*x8^6+30203*x8^7+8056*x2*x4*x8^4+30838*x4^2*x8^4+16702*x1*x5*x8^4+18014*x2*x5*x8^4+13634*x3*x5*x8^4+18471*x4*x5*x8^4+7311*x5^2*x8^4+1601*x1*x6*x8^4+1815*x2*x6*x8^4+24456*x3*x6*x8^4+10659*x4*x6*x8^4+10711*x5*x6*x8^4+15725*x6^2*x8^4+11457*x1*x7*x8^4+19535*x2*x7*x8^4+1127*x3*x7*x8^4+31825*x4*x7*x8^4+15740*x5*x7*x8^4+16364*x6*x7*x8^4+19681*x7^2*x8^4+15563*x1*x8^5+21721*x2*x8^5+2933*x3*x8^5+20628*x4*x8^5+1248*x5*x8^5+3714*x6*x8^5+8986*x7*x8^5+2218*x8^6+11172*x3*x5*x6*x8^2+23458*x4*x5*x6*x8^2+16915*x5^2*x6*x8^2+5754*x1*x6^2*x8^2+18115*x2*x6^2*x8^2+30411*x3*x6^2*x8^2+9298*x4*x6^2*x8^2+8054*x5*x6^2*x8^2+15678*x6^3*x8^2+24144*x2*x4*x7*x8^2+5638*x1*x5*x7*x8^2+25120*x2*x5*x7*x8^2+24445*x3*x5*x7*x8^2+23952*x4*x5*x7*x8^2+6918*x5^2*x7*x8^2+23336*x1*x6*x7*x8^2+12960*x2*x6*x7*x8^2+28534*x3*x6*x7*x8^2+9481*x4*x6*x7*x8^2+11794*x5*x6*x7*x8^2+15176*x6^2*x7*x8^2+1896*x1*x7^2*x8^2+13943*x2*x7^2*x8^2+22392*x3*x7^2*x8^2+14109*x4*x7^2*x8^2+2874*x5*x7^2*x8^2+28815*x6*x7^2*x8^2+20219*x7^3*x8^2+20083*x2*x4*x8^3+1757*x4^2*x8^3+25736*x1*x5*x8^3+13547*x2*x5*x8^3+23232*x3*x5*x8^3+19510*x4*x5*x8^3+18159*x5^2*x8^3+30292*x1*x6*x8^3+27324*x2*x6*x8^3+8325*x3*x6*x8^3+10197*x4*x6*x8^3+9655*x5*x6*x8^3+24848*x6^2*x8^3+19332*x1*x7*x8^3+1890*x2*x7*x8^3+31835*x3*x7*x8^3+30924*x4*x7*x8^3+14889*x5*x7*x8^3+10746*x6*x7*x8^3+29469*x7^2*x8^3+26138*x1*x8^4+12024*x2*x8^4+24193*x3*x8^4+28939*x4*x8^4+26679*x5*x8^4+10972*x6*x8^4+24484*x7*x8^4+1180*x8^5+6304*x5^2*x7^2+31207*x1*x6*x7^2+28629*x2*x6*x7^2+9431*x3*x6*x7^2+5199*x4*x6*x7^2+18041*x5*x6*x7^2+7637*x6^2*x7^2+9319*x1*x7^3+13279*x2*x7^3+11866*x3*x7^3+26787*x4*x7^3+13245*x5*x7^3+22761*x6*x7^3+21721*x7^4+29090*x3*x5*x6*x8+8036*x4*x5*x6*x8+31685*x5^2*x6*x8+19484*x1*x6^2*x8+18155*x2*x6^2*x8+1239*x3*x6^2*x8+672*x4*x6^2*x8+11957*x5*x6^2*x8+13774*x6^3*x8+3592*x2*x4*x7*x8+23130*x1*x5*x7*x8+5797*x2*x5*x7*x8+26146*x3*x5*x7*x8+4731*x4*x5*x7*x8+12270*x5^2*x7*x8+1481*x1*x6*x7*x8+754*x2*x6*x7*x8+6820*x3*x6*x7*x8+13094*x4*x6*x7*x8+7728*x5*x6*x7*x8+26236*x6^2*x7*x8+9632*x1*x7^2*x8+22124*x2*x7^2*x8+9009*x3*x7^2*x8+22619*x4*x7^2*x8+28647*x5*x7^2*x8+966*x6*x7^2*x8+6710*x7^3*x8+678*x2*x4*x8^2+1581*x4^2*x8^2+19858*x1*x5*x8^2+19597*x2*x5*x8^2+15159*x3*x5*x8^2+4266*x4*x5*x8^2+8610*x5^2*x8^2+31357*x1*x6*x8^2+24228*x2*x6*x8^2+16328*x3*x6*x8^2+21121*x4*x6*x8^2+8915*x5*x6*x8^2+26196*x6^2*x8^2+31894*x1*x7*x8^2+12476*x2*x7*x8^2+26234*x3*x7*x8^2+27610*x4*x7*x8^2+11824*x5*x7*x8^2+14157*x6*x7*x8^2+8840*x7^2*x8^2+3159*x1*x8^3+19060*x2*x8^3+7868*x3*x8^3+9120*x4*x8^3+31413*x5*x8^3+13455*x6*x8^3+6698*x7*x8^3+8185*x8^4+26206*x3*x5*x6+6827*x4*x5*x6+6271*x5^2*x6+19901*x1*x6^2+18492*x2*x6^2+26526*x3*x6^2+10705*x4*x6^2+9546*x5*x6^2+23485*x6^3+15608*x2*x4*x7+30778*x1*x5*x7+207*x2*x5*x7+11527*x3*x5*x7+20668*x4*x5*x7+14859*x5^2*x7+4645*x1*x6*x7+22185*x2*x6*x7+28184*x3*x6*x7+24882*x4*x6*x7+19836*x5*x6*x7+28671*x6^2*x7+11782*x1*x7^2+24386*x2*x7^2+6349*x3*x7^2+26760*x4*x7^2+28694*x5*x7^2+20985*x6*x7^2+18933*x7^3+3550*x2*x4*x8+21861*x4^2*x8+19472*x1*x5*x8+7038*x2*x5*x8+20248*x3*x5*x8+4938*x4*x5*x8+8423*x5^2*x8+7496*x1*x6*x8+22428*x2*x6*x8+21198*x3*x6*x8+4908*x4*x6*x8+25641*x5*x6*x8+17617*x6^2*x8+4115*x1*x7*x8+31*x2*x7*x8+9453*x3*x7*x8+7986*x4*x7*x8+6185*x5*x7*x8+11190*x6*x7*x8+1932*x7^2*x8+27755*x1*x8^2+12974*x2*x8^2+11258*x3*x8^2+16299*x4*x8^2+4213*x5*x8^2+28932*x6*x8^2+4176*x7*x8^2+27631*x8^3+17346*x2*x4+15056*x4^2+20229*x1*x5+16545*x2*x5+19631*x3*x5+10868*x4*x5+2383*x5^2+24783*x1*x6+4404*x2*x6+4180*x3*x6+5402*x4*x6+4002*x5*x6+31204*x6^2+3029*x1*x7+5937*x2*x7+21204*x3*x7+28064*x4*x7+24590*x5*x7+6918*x6*x7+5766*x7^2+16738*x1*x8+4039*x2*x8+29695*x3*x8+22780*x4*x8+28494*x5*x8+10719*x6*x8+14314*x7*x8+2490*x8^2+27515*x1+17735*x2+9719*x3+15659*x4+4492*x5+23947*x6+3549*x7+6357*x8+107
