LIB "tst.lib";tst_init(); ring r= 0,(x1,x2),dp; poly p1= -728-1290*x1+22008*x1^12+25997*x1^11+16963*x1^10+9303*x1^9+1626*x1^8+6800*x1^15+ 3458*x1^18+4704*x1^17+17782*x1^16+21200*x1^14+25541*x1^13-1431*x1^20-1387*x1^19+ 780*x1^4-3652*x1^3-1515*x1^2+13982*x1^7+4518*x1^6-454*x1^5+10443*x1^5*x2^12+ 15233*x1^5*x2^9-12971*x1^5*x2^10-19429*x1^6*x2^12+11462*x1^5*x2^15-33556*x1^5*x2 ^11-42554*x1^5*x2^13-2964*x1^5*x2^6-54138*x1^5*x2^7-13057*x1^5*x2^8-10131*x1^5* x2^14+6518*x2^16+2399*x2^17+124*x2^18+2239*x2^12+9748*x2^15+4663*x2^14+4290*x2^ 11-4833*x2^13-5225*x2^19-2541*x2^20+8433*x1*x2^16-4346*x1*x2^17+11093*x1*x2^18+ 10788*x1*x2^12+3772*x1*x2^15-10208*x1*x2^14-12621*x1*x2^11-4664*x1*x2^13+8690*x1 *x2^19+629*x1*x2^10+11537*x1^2*x2^16-2765*x1^2*x2^17-12245*x1^2*x2^18+10972*x1^2 *x2^12-12994*x1^2*x2^15+14146*x1^2*x2^14+918*x1^2*x2^11+37774*x1^2*x2^13-18364* x1^2*x2^9+32914*x1^2*x2^10-9962*x1^3*x2^16+3401*x1^3*x2^17-5889*x1^3*x2^12+1924* x1^3*x2^15+20737*x1^3*x2^14+13141*x1^3*x2^11-7061*x1^3*x2^13-13036*x1^3*x2^8- 3078*x1^3*x2^9-33605*x1^3*x2^10-6276*x1^4*x2^16-5207*x1^4*x2^12-14503*x1^4*x2^15 -6970*x1^4*x2^14-3360*x1^4*x2^11-10394*x1^4*x2^13-11039*x1^4*x2^7-10154*x1^4*x2^ 8-11*x1^4*x2^9+8980*x1^4*x2^10+2335*x1^8*x2^12-361*x1^8*x2^11+17009*x1^8*x2^5+ 18945*x1^8*x2^6-20074*x1^8*x2^7+25929*x1^8*x2^8-7497*x1^8*x2^9-2476*x1^9*x2^11+ 39240*x1^9*x2^5-28667*x1^9*x2^6+39306*x1^9*x2^2-4129*x1^9*x2^3-2825*x1^9*x2^7- 6573*x1^9*x2^8+3685*x1^9*x2^9-18044*x1^9*x2^10-29986*x1^9*x2^4+2386*x1^6*x2^14+ 24833*x1^6*x2^13+327*x1^6*x2^5-36128*x1^6*x2^6-6937*x1^6*x2^7-50420*x1^6*x2^8+ 23621*x1^6*x2^9-26865*x1^6*x2^11+15730*x1^6*x2^10+14549*x1^7*x2^12-941*x1^7*x2^ 11+672*x1^7*x2^13+8829*x1^7*x2^5-29595*x1^7*x2^6-34291*x1^7*x2^7+20442*x1^7*x2^8 +27095*x1^7*x2^9+832*x1^7*x2^10-20462*x1^7*x2^4+13849*x2^5-8872*x2^6+6083*x2^7+ 7871*x2^8+11503*x2^9+13708*x2^10+17176*x1^13*x2^5-4671*x1^13*x2^7+28904*x1^13*x2 -10869*x1^13*x2^4+4639*x1^13*x2^2+25646*x1^13*x2^3-2670*x1^13*x2^6-3222*x1^14*x2 ^5+3967*x1^14*x2^6-18531*x1^14*x2+2513*x1^14*x2^4+6773*x1^14*x2^2+2166*x1^14*x2^ 3-470*x1^15*x2^5+2420*x1^15*x2+6134*x1^15*x2^4-7263*x1^15*x2^2+8278*x1^15*x2^3+ 10754*x1^16*x2^2+3136*x1^16*x2-416*x1^16*x2^3-2570*x1^16*x2^4-9421*x1^17*x2^2- 2292*x1^17*x2+2151*x1^17*x2^3-10656*x1^18*x2+879*x1^18*x2^2+1650*x1^19*x2-1674* x1^12*x2^5+26889*x1^12*x2^6+7583*x1^12*x2^7-3699*x1^12*x2^8+1180*x1^12*x2+13952* x1^12*x2^4+37479*x1^12*x2^2+7184*x1^12*x2^3-16061*x1^10*x2^6-21810*x1^10*x2^7- 1170*x1^10*x2^8+15831*x1^10*x2^9+10135*x1^10*x2^10+11405*x1^10*x2-42589*x1^10*x2 ^5-20410*x1^10*x2^4-2545*x1^10*x2^3-9580*x1^11*x2^5-35609*x1^11*x2^6+26010*x1^11 *x2^7+18086*x1^11*x2^8-11069*x1^11*x2^9-1117*x1^11*x2-12854*x1^11*x2^4+23305*x1^ 11*x2^2+16873*x1^10*x2^2+456*x1^11*x2^3+25113*x1^8*x2^3-10995*x1^8*x2^10-17401* x1^8*x2^4-24366*x1^9*x2+16936*x1^8*x2^2-23339*x1^8*x2-7290*x1^4*x2^3-20928*x1^4* x2^2-16798*x1^4*x2-4002*x1^3*x2^7+9353*x1^3*x2^6+37158*x1^3*x2^5-30074*x1^3*x2^4 +5608*x1^3*x2^3-9896*x1^3*x2^2-6380*x1^3*x2+35390*x1^2*x2^7-4155*x1^2*x2^6+17087 *x1^2*x2^5-1760*x1^2*x2^4-9807*x1^2*x2^3-1043*x1^2*x2^2-1660*x1^2*x2+33416*x1*x2 ^9-6072*x1*x2^8+7593*x1*x2^7+8547*x1*x2^6-166*x1*x2^5-5914*x1*x2^4+19152*x1*x2^3 -3269*x1*x2^2+13513*x1*x2-12803*x1^2*x2^8+4298*x2-2464*x2^4-22182*x1^7*x2^3+ 35749*x1^7*x2^2-33505*x1^7*x2+23368*x1^6*x2^3+4232*x1^6*x2^2-3295*x1^6*x2-2774* x1^5*x2^5-25997*x1^5*x2^4+809*x1^5*x2^3+3573*x1^5*x2^2-27574*x1^5*x2-24366*x1^4* x2^6+10646*x1^4*x2^5-38298*x1^4*x2^4-44555*x1^6*x2^4+3196*x2^2+8937*x2^3; poly p2= -4888-10006*x1-13326*x1^12-20358*x1^11-655*x1^10-4924*x1^9-13729*x1^8-13151*x1^ 15-11270*x1^18+1588*x1^17-2955*x1^16-8395*x1^14-5190*x1^13+1590*x1^20+1865*x1^19 +7355*x1^4+21976*x1^3+8682*x1^2-723*x1^7+4119*x1^6-335*x1^5+19954*x1^5*x2^12+781 *x1^5*x2^9+10561*x1^5*x2^10+1495*x1^6*x2^12-5353*x1^5*x2^15-1598*x1^5*x2^11+1599 *x1^5*x2^13-1627*x1^5*x2^6+20820*x1^5*x2^7+24333*x1^5*x2^8-8332*x1^5*x2^14+8595* x2^16+284*x2^17+6997*x2^18-7722*x2^12-8499*x2^15-2167*x2^14+10541*x2^11-12185*x2 ^13+284*x2^19-2310*x2^20+8879*x1*x2^16-10590*x1*x2^17-5051*x1*x2^18+15313*x1*x2^ 12-20230*x1*x2^15+1109*x1*x2^14-5066*x1*x2^11-18777*x1*x2^13+6508*x1*x2^19+23006 *x1*x2^10-561*x1^2*x2^16+12698*x1^2*x2^17-8730*x1^2*x2^18-3206*x1^2*x2^12-4547* x1^2*x2^15+20124*x1^2*x2^14-21976*x1^2*x2^11-20188*x1^2*x2^13-26228*x1^2*x2^9+ 3446*x1^2*x2^10-1048*x1^3*x2^16-39*x1^3*x2^17-2493*x1^3*x2^12+25851*x1^3*x2^15- 961*x1^3*x2^14-11468*x1^3*x2^11-5027*x1^3*x2^13-1137*x1^3*x2^8+48830*x1^3*x2^9- 30692*x1^3*x2^10-2803*x1^4*x2^16-7860*x1^4*x2^12-3186*x1^4*x2^15+8090*x1^4*x2^14 -6553*x1^4*x2^11+11999*x1^4*x2^13+69999*x1^4*x2^7-12335*x1^4*x2^8+46496*x1^4*x2^ 9+772*x1^4*x2^10+20558*x1^8*x2^12-20008*x1^8*x2^11+31838*x1^8*x2^5-8631*x1^8*x2^ 6-6353*x1^8*x2^7-42758*x1^8*x2^8+40716*x1^8*x2^9+1934*x1^9*x2^11-22550*x1^9*x2^5 +5083*x1^9*x2^6-25399*x1^9*x2^2-35717*x1^9*x2^3+23739*x1^9*x2^7-7544*x1^9*x2^8- 7401*x1^9*x2^9+20602*x1^9*x2^10+41178*x1^9*x2^4+4072*x1^6*x2^14-4780*x1^6*x2^13+ 9881*x1^6*x2^5+8919*x1^6*x2^6+21482*x1^6*x2^7+8347*x1^6*x2^8-14705*x1^6*x2^9- 4865*x1^6*x2^11-43824*x1^6*x2^10-6533*x1^7*x2^12+15755*x1^7*x2^11-7840*x1^7*x2^ 13-13468*x1^7*x2^5-3378*x1^7*x2^6+29374*x1^7*x2^7-48258*x1^7*x2^8-440*x1^7*x2^9- 12127*x1^7*x2^10+1183*x1^7*x2^4-2083*x2^5-17005*x2^6-3317*x2^7-21655*x2^8+5943* x2^9-6480*x2^10-30775*x1^13*x2^5+7470*x1^13*x2^7-5029*x1^13*x2+26581*x1^13*x2^4+ 12939*x1^13*x2^2-8027*x1^13*x2^3+2112*x1^13*x2^6+11802*x1^14*x2^5-13229*x1^14*x2 ^6+3308*x1^14*x2+9432*x1^14*x2^4+8102*x1^14*x2^2-3050*x1^14*x2^3-514*x1^15*x2^5- 1974*x1^15*x2+3947*x1^15*x2^4+13490*x1^15*x2^2-13593*x1^15*x2^3-15491*x1^16*x2^2 +17254*x1^16*x2-3805*x1^16*x2^3-1116*x1^16*x2^4+7827*x1^17*x2^2-9026*x1^17*x2- 2332*x1^17*x2^3+15610*x1^18*x2-3592*x1^18*x2^2-3971*x1^19*x2+17497*x1^12*x2^5- 1248*x1^12*x2^6-10878*x1^12*x2^7+6997*x1^12*x2^8-89*x1^12*x2+35761*x1^12*x2^4+ 4638*x1^12*x2^2-22325*x1^12*x2^3+15973*x1^10*x2^6-9319*x1^10*x2^7+1530*x1^10*x2^ 8+10046*x1^10*x2^9-1192*x1^10*x2^10-26484*x1^10*x2+21931*x1^10*x2^5+24655*x1^10* x2^4-27033*x1^10*x2^3+13489*x1^11*x2^5+12857*x1^11*x2^6+13340*x1^11*x2^7-6509*x1 ^11*x2^8+4482*x1^11*x2^9-3069*x1^11*x2-15118*x1^11*x2^4+4250*x1^11*x2^2+23009*x1 ^10*x2^2+16516*x1^11*x2^3-3811*x1^8*x2^3-15246*x1^8*x2^10-18687*x1^8*x2^4+19030* x1^9*x2-20359*x1^8*x2^2-4897*x1^8*x2+23555*x1^4*x2^3+12763*x1^4*x2^2+26372*x1^4* x2+26944*x1^3*x2^7+3234*x1^3*x2^6-26382*x1^3*x2^5-3571*x1^3*x2^4-56*x1^3*x2^3- 1106*x1^3*x2^2+10586*x1^3*x2-33809*x1^2*x2^7+19983*x1^2*x2^6-11551*x1^2*x2^5+ 19656*x1^2*x2^4-18778*x1^2*x2^3+9662*x1^2*x2^2+34*x1^2*x2-12000*x1*x2^9+2755*x1* x2^8-15729*x1*x2^7-25717*x1*x2^6+5209*x1*x2^5+7986*x1*x2^4+5082*x1*x2^3-3548*x1* x2^2-7174*x1*x2+49971*x1^2*x2^8-8998*x2+1595*x2^4-18555*x1^7*x2^3-27685*x1^7*x2^ 2-9174*x1^7*x2-15341*x1^6*x2^3-3867*x1^6*x2^2+5346*x1^6*x2+1162*x1^5*x2^5+9558* x1^5*x2^4-9971*x1^5*x2^3+8931*x1^5*x2^2+23740*x1^5*x2-5763*x1^4*x2^6-12251*x1^4* x2^5-13944*x1^4*x2^4+25283*x1^6*x2^4-8352*x2^2+7948*x2^3; poly q1= 1026-793*x1+4792*x1^35-10239*x1^34-1514*x1^33-8763*x1^32-2320*x1^40-2042*x1^39+ 7310*x1^38+1256*x1^37+1610*x1^36-4214*x1^31+4890*x1^30-1564*x1^29+1131*x1^28- 6530*x1^27+2633*x1^26+4998*x1^12-18850*x1^11+1895*x1^10+5082*x1^9+3901*x1^8+9042 *x1^15+9295*x1^18-1147*x1^17-12003*x1^16-2820*x1^14-9992*x1^13-3132*x1^20+436*x1 ^24+10956*x1^25+13545*x1^23+15221*x1^22+5369*x1^21-16533*x1^19-7750*x1^4+5597*x1 ^3-1237*x1^2+730*x1^7-3810*x1^6+7870*x1^5+15342*x1^5*x2^12-57812*x1^13*x2^17+ 41977*x1^5*x2^9-45480*x1^5*x2^10+32729*x1^6*x2^12-5785*x1^27*x2^12-35148*x1^27* x2^13-2241*x1^27*x2^11+15690*x1^5*x2^15-30927*x1^5*x2^11+61246*x1^5*x2^13-38151* x1^5*x2^6+22586*x1^5*x2^7+52696*x1^5*x2^8-38316*x1^5*x2^14-11356*x1^22*x2^16- 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*x1^124*x2^20-44165*x1^124*x2^5-525*x1^124*x2^6+10027*x1^124*x2^7+18409*x1^124* x2^8-8550*x1^124*x2^9-8758*x1^124*x2^10+52668*x1^124*x2-114741*x1^124*x2^4+4168* x1^124*x2^27-37885*x1^124*x2^25+38696*x1^124*x2^26-80261*x1^124*x2^23-2638*x1^ 124*x2^29+16382*x1^124*x2^21-52605*x1^124*x2^24-28987*x1^124*x2^22-59699*x1^124* x2^28-69738*x1^124*x2^30+18410*x1^124*x2^36-6910*x1^124*x2^34-7558*x1^124*x2^35+ 15389*x1^124*x2^32-13725*x1^124*x2^33-44636*x1^124*x2^31+13879*x1^124*x2^2-20528 *x1^124*x2^3-30266*x1^123-7520*x1^124; tst_status(); gcd (p1,p2); tst_status(); gcd (q1,q2); tst_status(); gcd (r1,r2); tst_status(); gcd (s1,s2); tst_status(); tst_status(1); $