LIB "tst.lib";tst_init(); ring r= 0, (x1,x2),dp; poly p1= -2107-7967*x1+19271*x1^50+551*x1^49-39300*x1^48+23685*x1^51-47193*x1^61+22470*x1 ^ 63-11981*x1^64+4427*x1^65+12796*x1^66-11319*x1^67-44213*x1^68-18278*x1^69-8897* x1^70-15766*x1^71+10258*x1^72+13882*x1^73-23195*x1^74-8704*x1^75+4815*x1^76- 13598*x1^77+13217*x1^78-16323*x1^79-13612*x1^80-14833*x1^62+25634*x1^52+17615*x1 ^54+14299*x1^55-19193*x1^56-4719*x1^57-51084*x1^58-14141*x1^59+22254*x1^60+61350 *x1^53-7982*x1^81-5434*x1^82+16274*x1^83+7039*x1^84+4819*x1^85+13739*x1^86+7595* x1^87+13020*x1^88-1874*x1^89-11233*x1^90-24214*x1^91-11353*x1^92-2585*x1^93+ 22786*x1^94+18677*x1^95+16977*x1^96+1096*x1^97-9941*x1^98-5735*x1^99-6630*x1^100 -11236*x1^35+21918*x1^34-7645*x1^33+12569*x1^32+44195*x1^42+7111*x1^41-5940*x1^ 40+8721*x1^39+8*x1^38+3951*x1^37-16955*x1^36+8166*x1^44+1255*x1^43-5677*x1^45+ 2889*x1^46-8483*x1^47-6954*x1^31-21427*x1^30-20019*x1^29-13763*x1^28-8902*x1^27- 8764*x1^26+11613*x1^12+1365*x1^11-5613*x1^10+7489*x1^9+3585*x1^8-11942*x1^15+ 17166*x1^18-12107*x1^17-25122*x1^16+17961*x1^14-3205*x1^13+13609*x1^20-11190*x1^ 24+3638*x1^25+7883*x1^23-6332*x1^22+511*x1^21+31863*x1^19-2029*x1^4+2383*x1^3- 4956*x1^2+1663*x1^7-6356*x1^6+4493*x1^5; poly p2= -2401-3773*x1-9484*x1^50-4086*x1^49-31296*x1^48-21634*x1^51+18525*x1^61-1327*x1^ 63+17211*x1^64+6097*x1^65+4392*x1^66+5639*x1^67+26737*x1^68+5985*x1^69-2186*x1^ 70+3352*x1^71+5962*x1^72+5413*x1^73+15009*x1^74+7176*x1^75+23806*x1^76-860*x1^77 +16368*x1^78+9044*x1^79+4566*x1^80-7929*x1^62-13086*x1^52-84580*x1^54-17160*x1^ 55-4502*x1^56-56940*x1^57+5464*x1^58-25712*x1^59-41935*x1^60+2429*x1^53+12607*x1 ^81-4635*x1^82+1625*x1^83+11692*x1^84-22514*x1^85+14489*x1^86+6490*x1^87-6581*x1 ^88+5116*x1^89-9671*x1^90-18639*x1^91-1692*x1^92-9911*x1^93-3458*x1^94+2083*x1^ 95-10129*x1^96+6425*x1^97+986*x1^98+1890*x1^99+6205*x1^100+4746*x1^35+14296*x1^ 34+33685*x1^33+23430*x1^32-20474*x1^42+14725*x1^41-39167*x1^40+11129*x1^39+34455 *x1^38+19625*x1^37+6082*x1^36+7384*x1^44-9814*x1^43+11853*x1^45-23402*x1^46+ 24318*x1^47+10912*x1^31+17976*x1^30-11869*x1^29+11588*x1^28+11503*x1^27+15005*x1 ^26-11632*x1^12-17281*x1^11+4819*x1^10-17526*x1^9+1700*x1^8-9352*x1^15+5662*x1^ 18-11328*x1^17+9618*x1^16-3703*x1^14+9162*x1^13-25581*x1^20+13776*x1^24-1141*x1^ 25-22249*x1^23-3267*x1^22-2752*x1^21+17790*x1^19+13366*x1^4-4768*x1^3+1366*x1^2+ 2927*x1^7+5018*x1^6-6514*x1^5; poly q1= -1368+2517*x1-62928*x1^500+126728*x1^499-139637*x1^498+27580*x1^50+22746*x1^49- 2531*x1^48-14087*x1^51-5358*x1^61+46791*x1^63-7435*x1^64-40697*x1^65+13424*x1^66 +30705*x1^67+9285*x1^68-11869*x1^69+16191*x1^70-17766*x1^71-60286*x1^72+12097*x1 ^73+9105*x1^74-31654*x1^75+9021*x1^76-53005*x1^77+19426*x1^78+53086*x1^79-25232* x1^80+12673*x1^62-31816*x1^52-21377*x1^54+618*x1^55+39344*x1^56+4398*x1^57-61128 *x1^58-463*x1^59-8004*x1^60+6777*x1^53+896*x1^81-14671*x1^82-28762*x1^83-35402* x1^84-5453*x1^85+40572*x1^86+24269*x1^87-44167*x1^88-22203*x1^89-50138*x1^90- 26643*x1^91+19350*x1^92+19349*x1^93+40256*x1^94+13649*x1^95-47903*x1^96-41079*x1 ^97-5645*x1^98-4755*x1^99-11582*x1^100-40612*x1^35+2800*x1^34+2779*x1^33-7942*x1 ^32-69752*x1^426+94597*x1^425+47154*x1^424+2012*x1^423+31277*x1^422+33408*x1^421 +84807*x1^420+28863*x1^419+68957*x1^418+68073*x1^417+59170*x1^416+90828*x1^415- 16413*x1^414-47850*x1^413+139517*x1^412-127726*x1^411+5282*x1^410+22398*x1^409+ 77991*x1^408+17422*x1^407+142163*x1^406+61882*x1^405+89785*x1^404+94572*x1^403- 2414*x1^402-56973*x1^401-101640*x1^400-149488*x1^434-98144*x1^433+5076*x1^432+ 40468*x1^431+136215*x1^430+151022*x1^429+29277*x1^428-186747*x1^427-11950*x1^438 +46996*x1^437-87072*x1^436+50978*x1^435-53867*x1^439+34216*x1^465-34398*x1^464+ 186429*x1^463+115912*x1^462+50371*x1^461-94614*x1^460-6364*x1^459+208358*x1^458- 37065*x1^457-95153*x1^456+134795*x1^455-4809*x1^454-55455*x1^453-122445*x1^452+ 43069*x1^451-72494*x1^450+79409*x1^449-68950*x1^448-16066*x1^447-50587*x1^446- 102418*x1^445-74453*x1^444+167227*x1^443-43709*x1^442+19063*x1^441-33367*x1^440+ 65259*x1^476+43375*x1^475-62053*x1^474+57480*x1^473+16073*x1^472+196982*x1^471+ 29802*x1^470-49897*x1^469-9948*x1^468+67615*x1^467-19190*x1^466-7500*x1^42+18420 *x1^41-23816*x1^40-4876*x1^39+7627*x1^38+16788*x1^37-6120*x1^36+5817*x1^44+26641 *x1^43-20495*x1^45-3115*x1^497-60587*x1^496-201311*x1^495-46792*x1^494+31565*x1^ 493+22845*x1^492-40022*x1^491-106106*x1^490-69754*x1^489+16080*x1^488+66696*x1^ 487+188430*x1^486+143305*x1^485+3480*x1^484+19886*x1^483-69468*x1^482+54910*x1^ 481-6406*x1^480+26650*x1^479+64640*x1^478-11401*x1^477-2757*x1^46+3794*x1^47+ 45223*x1^266+94576*x1^265+42457*x1^264-45418*x1^263+54839*x1^262+62286*x1^261- 43253*x1^260+74164*x1^259-22360*x1^258+367*x1^267+87386*x1^297+1033*x1^293-34984 *x1^292+15107*x1^291+29227*x1^290-60676*x1^289+37316*x1^288+67439*x1^287+28665* x1^286-30395*x1^285-12669*x1^284-118959*x1^283-76727*x1^282+40578*x1^281+12478* x1^280+139518*x1^279-64661*x1^278-70425*x1^277-51423*x1^276-75396*x1^275-69331* x1^274+14651*x1^273+65687*x1^272-33259*x1^271-5551*x1^270+26596*x1^269-48554*x1^ 268+30609*x1^31+13234*x1^30-24923*x1^29-18067*x1^28-12113*x1^27-23210*x1^26+ 89410*x1^323+102031*x1^322+57892*x1^321-20669*x1^320+60640*x1^319-1516*x1^318+ 2552*x1^317-34122*x1^333-49281*x1^332-16718*x1^331+96104*x1^330-15874*x1^329- 42731*x1^328-33928*x1^327-29381*x1^326+25084*x1^325-91237*x1^324-11027*x1^334+ 21081*x1^345-6588*x1^344-85155*x1^343+81994*x1^342-27868*x1^341-18945*x1^340+ 94970*x1^339+74905*x1^338+84612*x1^337-2698*x1^336+24174*x1^335-961*x1^371-62269 *x1^370+77449*x1^369-8992*x1^368-45317*x1^367+50793*x1^366+100850*x1^365+49600* x1^364+418*x1^363-38448*x1^362+111756*x1^361-59212*x1^360+83470*x1^359+38710*x1^ 358+41701*x1^357+4635*x1^356+34246*x1^355-47782*x1^354+63743*x1^353+14401*x1^352 -2942*x1^351-15056*x1^350+909*x1^349-42355*x1^348-27510*x1^347-125124*x1^346- 25863*x1^373+80195*x1^372+52262*x1^316+149353*x1^315-55819*x1^314+103411*x1^313+ 158668*x1^312-959*x1^311+41724*x1^310+62321*x1^309+40000*x1^308-48054*x1^307- 43199*x1^306+111954*x1^305+10527*x1^304-22207*x1^303-44732*x1^302-62568*x1^301- 57920*x1^300-5505*x1^299+4394*x1^298-18533*x1^296-3782*x1^295-68145*x1^294+31258 *x1^399+2445*x1^398-23728*x1^397-17216*x1^396-63084*x1^395-4385*x1^394-95754*x1^ 393+63983*x1^392-53024*x1^391-44658*x1^390-17576*x1^389-41740*x1^388+6318*x1^387 +6705*x1^386-84829*x1^385+53323*x1^384+853*x1^383+21916*x1^382+57967*x1^381-2589 *x1^380+71462*x1^379-52141*x1^378-7581*x1^377-107109*x1^376+58294*x1^375-9185*x1 ^374+16162*x1^145-45541*x1^144-5390*x1^143+16722*x1^142-30871*x1^141+8858*x1^140 -35953*x1^139-64934*x1^138-6993*x1^137-47839*x1^136+34376*x1^135+1714*x1^134- 55912*x1^133+60713*x1^132-66513*x1^131+3055*x1^130-52112*x1^129-16474*x1^128+ 68069*x1^127-20608*x1^126+796*x1^125+37824*x1^124-61304*x1^123-43055*x1^122- 17539*x1^121+680*x1^120-18792*x1^12+22675*x1^11+23056*x1^10+12449*x1^9+769*x1^8- 70461*x1^156-13959*x1^155-3582*x1^154+38179*x1^153+509*x1^152+11510*x1^151+21141 *x1^150-23384*x1^149-39509*x1^148+91242*x1^147+2943*x1^146+33565*x1^177-16919*x1 ^176+54064*x1^175-48549*x1^174+61080*x1^173-7615*x1^172-781*x1^171+37221*x1^170+ 67845*x1^169-16675*x1^168+48196*x1^167+30887*x1^166+17310*x1^165-135726*x1^164+ 67870*x1^163+21560*x1^162+19914*x1^161+11556*x1^160+70610*x1^159-47532*x1^158+ 25493*x1^157-4417*x1^15+20459*x1^18+40952*x1^17+29850*x1^16-13653*x1^14-41563*x1 ^13-45800*x1^119+61140*x1^118+8669*x1^117+21847*x1^116-79064*x1^115-12970*x1^114 +14648*x1^113-14101*x1^112-30609*x1^111+34569*x1^110+18287*x1^109-12075*x1^107+ 7847*x1^106+22346*x1^105-23549*x1^104-3279*x1^103+44478*x1^102-1076*x1^101-48244 *x1^20+6836*x1^201+1668*x1^200-48353*x1^199-25269*x1^198-75510*x1^197+50290*x1^ 196+75028*x1^195+15221*x1^194+82848*x1^193-7631*x1^192-80664*x1^191-88334*x1^190 +18015*x1^189+84791*x1^188+46134*x1^187-4242*x1^186-17111*x1^185-95674*x1^184+ 54257*x1^183-64039*x1^182+35669*x1^181+17814*x1^180-75848*x1^179-42986*x1^178- 27965*x1^228-94680*x1^227+63443*x1^226-78487*x1^225+8800*x1^224-58462*x1^223- 85978*x1^222-20545*x1^221+38209*x1^220+42553*x1^219+62882*x1^218-78547*x1^217+ 73749*x1^216-53425*x1^215+11205*x1^214+32703*x1^213+116004*x1^212+8114*x1^211+ 788*x1^210+15187*x1^209-9315*x1^208-80863*x1^207+20671*x1^206-56079*x1^205-15767 *x1^204+31905*x1^203+78466*x1^202-12265*x1^234-35331*x1^233-91707*x1^232+109440* x1^231-19376*x1^230+26171*x1^229+30379*x1^24+63028*x1^252+9160*x1^251-2817*x1^ 250+49242*x1^249-119901*x1^248-153407*x1^247-11239*x1^246+23438*x1^245+26296*x1^ 244-22390*x1^243-11429*x1^242+25379*x1^241-106807*x1^240+12136*x1^239+15332*x1^ 238+39203*x1^237+15547*x1^236-20061*x1^235-20118*x1^257+19291*x1^256+101761*x1^ 255-3630*x1^254-7337*x1^253+13929*x1^25+21267*x1^23-5025*x1^22-16945*x1^21-27666 *x1^19-2191*x1^4+11365*x1^3+7985*x1^2-3553*x1^7-18692*x1^6-11338*x1^5-21056*x1^ 108+6546*x1^501-191302*x1^502-79510*x1^503-65806*x1^504+8111*x1^505+47722*x1^506 +78838*x1^507+101061*x1^508+63259*x1^509-103564*x1^510-74851*x1^544-174966*x1^ 546-109470*x1^547+160718*x1^548+28397*x1^549+21235*x1^550-103816*x1^551+15599*x1 ^552-149336*x1^553-98258*x1^545+28210*x1^554-6175*x1^555+23644*x1^556+94624*x1^ 557-89878*x1^558-113748*x1^559-49343*x1^560+91912*x1^561+34420*x1^562-50036*x1^ 563+8764*x1^564+17462*x1^565-10665*x1^566+4433*x1^567+42567*x1^568-39896*x1^511+ 34392*x1^512-1252*x1^513+87985*x1^514+126695*x1^515+22222*x1^516-142289*x1^517+ 20542*x1^518+77779*x1^519-199249*x1^520+102289*x1^521+51103*x1^522-13558*x1^524+ 33990*x1^525-1402*x1^526+52050*x1^527+39174*x1^528-17971*x1^529+20449*x1^530+ 47878*x1^531-52137*x1^532-2594*x1^533-43235*x1^534+13613*x1^535-50267*x1^536- 79596*x1^537-92795*x1^538-32565*x1^539+54227*x1^540-71137*x1^541+32592*x1^542- 20287*x1^543+129714*x1^523-11030*x1^616+166341*x1^617-89703*x1^618+45481*x1^619- 36199*x1^620+51414*x1^621-99641*x1^622-42368*x1^623+94675*x1^624+88105*x1^625+ 62598*x1^626+137212*x1^627+73363*x1^628+56976*x1^629-8849*x1^630-89311*x1^631- 52982*x1^632+35761*x1^633+84848*x1^634-26340*x1^635-5634*x1^636+40135*x1^637- 17527*x1^638-139991*x1^639-66912*x1^640+155655*x1^641+13263*x1^642-56872*x1^643- 199551*x1^644-50946*x1^645+15816*x1^646-40485*x1^647-2615*x1^648+80392*x1^649+ 32051*x1^650-38389*x1^651-111528*x1^652+34080*x1^653-72650*x1^654+61913*x1^655- 70919*x1^656-78982*x1^657-63906*x1^658+4987*x1^659+85398*x1^660+92332*x1^661+ 10581*x1^662-9507*x1^608-8820*x1^609-54207*x1^610-5942*x1^611+59155*x1^612+65755 *x1^613+10436*x1^614+15343*x1^615+12258*x1^585-11797*x1^586-6093*x1^587-254632* 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1963+1392*x1^1964+26920*x1^1965+266*x1^1966-21029*x1^1967+3789*x1^1968-5547*x1^ 1969+20446*x1^1970+24776*x1^1971+11929*x1^1972+1414*x1^1973-3566*x1^1960-44816* x1^1951-9302*x1^1952+25631*x1^1953-6040*x1^1954+15749*x1^1955+11047*x1^1956-7874 *x1^1957-9827*x1^1958-5108*x1^1938-48102*x1^1939+39656*x1^1940+17668*x1^1941- 2796*x1^1942+14260*x1^1943-27*x1^1944-67367*x1^1945-54545*x1^1946+7286*x1^1947+ 22418*x1^1948-626*x1^1949+55836*x1^1950-2542*x1^1999+609*x1^2000-90381*x1^1695+ 69588*x1^1696+3053*x1^1697-22673*x1^1698+77138*x1^1699-79388*x1^1700-37440*x1^ 1701+46467*x1^1702; tst_status(); gcd (p1,p2); tst_status(); gcd (q1,q2); tst_status(); gcd (r1,r2); tst_status(); tst_status(1); $