N:=61;
X:=x^15*(x - 1)^10*y^49
        - x^14*(x - 1)^9*(21*x^3 - 4*x^2 - 14*x - 9)*y^48
        + x^13*(x - 1)^8*(210*x^6 - 63*x^5 - 326*x^4 - 53*x^3 + 55*x^2 + 156*x + 36)*y^47
        - x^12*(x - 1)^7*(1330*x^9 - 420*x^8 - 3710*x^7 + 1016*x^6 + 608*x^5 + 3001*x^4 - 413*x^3 - 548*x^2 - 800*x - 84)*y^46
        + x^11*(x - 1)^6*(5985*x^12 - 1330*x^11 - 27160*x^10 + 17780*x^9 + 945*x^8 + 27989*x^7 - 13348*x^6 - 8675*x^5 - 11099*x^4 + 2816*x^3 + 3452*x^2 + 2534*x + 126)*y^45
        - x^10*(x - 1)^5*(20349*x^15 - 142436*x^13 + 140301*x^12 - 26397*x^11 + 169428*x^10 - 128646*x^9 - 70563*x^8 - 59322*x^7 + 47139*x^6 + 58317*x^5 + 21630*x^4 - 10052*x^3 - 14000*x^2 - 5628*x - 126)*y^44
        + x^9*(x - 1)^4*(54264*x^18 + 20349*x^17 - 566664*x^16 + 725585*x^15 - 278789*x^14 + 765093*x^13 - 729414*x^12 - 400239*x^11 - 71253*x^10 + 286843*x^9 + 496464*x^8 - 11717*x^7 - 138383*x^6 - 206906*x^5 - 27398*x^4 + 33264*x^3 + 39382*x^2 + 9436*x + 84)*y^43
        - x^8*(x - 1)^4*(116280*x^20 + 224808*x^19 - 1548384*x^18 + 1222758*x^17 - 400202*x^16 + 2457269*x^15 - 472218*x^14 - 2263860*x^13 - 1225584*x^12 - 508659*x^11 + 2352830*x^10 + 1266892*x^9 + 402264*x^8 - 970397*x^7 - 820668*x^6 - 305108*x^5 + 165732*x^4 + 199590*x^3 + 94136*x^2 + 12532*x + 36)*y^42
        + x^7*(x - 1)^4*(203490*x^22 + 755820*x^21 - 3170121*x^20 + 1230126*x^19 - 1192878*x^18 + 5878433*x^17 + 3784495*x^16 - 5306931*x^15 - 5271903*x^14 - 7337568*x^13 + 3973284*x^12 + 6646459*x^11 + 6151244*x^10 + 380352*x^9 - 3706941*x^8 - 3723692*x^7 - 1528749*x^6 + 526098*x^5 + 968579*x^4 + 571857*x^3 + 156235*x^2 + 13383*x + 9)*y^41
        - x^6*(x - 1)^4*(293930*x^24 + 1695750*x^23 - 5111020*x^22 + 392155*x^21 - 4379930*x^20 + 9127489*x^19 + 17936906*x^18 - 4719670*x^17 - 9780645*x^16 - 30388887*x^15 - 7509087*x^14 + 12898645*x^13 + 26252330*x^12 + 19682241*x^11 - 746460*x^10 - 13663347*x^9 - 15169826*x^8 - 6438200*x^7 + 1335144*x^6 + 4148102*x^5 + 2866051*x^4 + 1087696*x^3 + 195270*x^2 + 11577*x + 1)*y^40
        + x^6*(x - 1)^4*(352716*x^25 + 2880514*x^24 - 6846574*x^23 - 534342*x^22 - 10851132*x^21 + 4690170*x^20 + 45938429*x^19 + 8654720*x^18 + 1716901*x^17 - 72138045*x^16 - 61560990*x^15 - 9651083*x^14 + 52352355*x^13 + 88270452*x^12+ 52200798*x^11 - 4897313*x^10 - 51118139*x^9 - 53111109*x^8 - 25357502*x^7 + 3614565*x^6 + 15581909*x^5 + 12576725*x^4 + 5713347*x^3 + 1504350*x^2 + 188619*x + 8024)*y^39
        - x^5*(x - 1)^4*(352716*x^27 + 3879876*x^26 - 8306116*x^25 - 102410*x^24 - 16378656*x^23 - 18089818*x^22 + 81447584*x^21 + 39167541*x^20 + 55264662*x^19 - 96701581*x^18 - 183605625*x^17 - 120192429*x^16 + 5328533*x^15 + 202935753*x^14 + 235034146*x^13 + 141767059*x^12 - 40324680*x^11 - 168545219*x^10 - 173028530*x^9 - 86160582*x^8 + 10066206*x^7 + 54049029*x^6 + 48543978*x^5 + 25154624*x^4 + 8264508*x^3 + 1566285*x^2 + 141352*x + 4368)*y^38
        + x^4*(x - 1)^3*(293930*x^30 + 3938662*x^29 - 14431963*x^28 + 11406213*x^27 - 12020540*x^26 - 49462406*x^25 + 165730012*x^24 - 27378291*x^23 + 70546163*x^22 - 168989470*x^21 - 327088674*x^20 + 521*x^19 + 75581324*x^18 + 490274981*x^17 + 329849198*x^16 + 74019600*x^15 - 315396374*x^14 - 491687422*x^13 - 330810513*x^12 - 1098430*x^11 + 261446513*x^10 + 287091969*x^9 + 143855678*x^8 - 8080131*x^7 - 71560768*x^6 - 59507709*x^5 - 27578747*x^4 - 7700707*x^3 - 1160628*x^2 - 79716*x - 1820)*y^37
        - x^3*(x - 1)^2*(203490*x^33 + 3368890*x^32 - 20606754*x^31 + 29363607*x^30 + 1491196*x^29 - 127600200*x^28 + 314443934*x^27 - 185074078*x^26 + 85448615*x^25 - 99567960*x^24 - 674910356*x^23 + 512356555*x^22 - 79870767*x^21 + 921285060*x^20 + 241615815*x^19 - 232381905*x^18 - 680936464*x^17 - 933053040*x^16 - 268905066*x^15 + 395894354*x^14 + 875857766*x^13 + 646355308*x^12 + 65411647*x^11 - 377901727*x^10 - 420122986*x^9 - 194515621*x^8 + 16102130*x^7 + 89101465*x^6 + 64710310*x^5 + 25859505*x^4 + 5863704*x^3 + 678468*x^2 + 34440*x + 560)*y^36
        + x^2*(x - 1)*(116280*x^36 + 2412810*x^35 - 24938830*x^34 + 47429320*x^33 + 27461460*x^32 - 262561304*x^31 + 536431731*x^30 - 403775229*x^29 - 4982154*x^28 + 433192828*x^27 - 1661819226*x^26 + 1846230066*x^25 - 852151132*x^24 + 1353437922*x^23 + 285157007*x^22 - 1287055695*x^21 - 305395086*x^20 - 1782495932*x^19 + 515427896*x^18 + 923863695*x^17 + 1810966367*x^16 + 828473189*x^15 - 547950774*x^14 - 1374743830*x^13 - 1046733031*x^12 - 111139332*x^11 + 528267956*x^10 + 536526884*x^9 + 215352765*x^8 - 38897370*x^7 - 100632401*x^6 - 61383087*x^5 - 20218168*x^4 - 3559480*x^3 - 304980*x^2 - 11000*x - 120)*y^35
        - x*(54264*x^39 + 1434120*x^38 - 25876176*x^37 + 57045676*x^36 + 64882948*x^35 - 428721776*x^34 + 781191764*x^33 - 553201759*x^32 - 438887244*x^31 + 1855823587*x^30 - 3833382569*x^29 + 4278879263*x^28 - 2075570757*x^27 + 617152162*x^26 + 2503460586*x^25 - 5284954650*x^24 + 3282341810*x^23 - 4470875929*x^22 + 2713323196*x^21 + 1150255135*x^20 + 2426624496*x^19 + 927261622*x^18 - 2166004679*x^17 - 2707924336*x^16 - 1711435119*x^15 + 830306337*x^14 + 1978511900*x^13 + 1395956555*x^12 + 71925386*x^11 - 689872275*x^10 - 595259090*x^9 - 188005610*x^8 + 69224648*x^7 + 100184801*x^6 + 49563376*x^5 + 12791856*x^4 + 1672440*x^3 +101576*x^2 + 2448*x + 16)*y^34
        + (20349*x^41 + 718998*x^40 - 22353861*x^39 + 31120404*x^38 + 135004310*x^37 - 428473066*x^36 + 506634221*x^35 + 52535779*x^34 - 1372351397*x^33 + 2940113317*x^32 - 4217262545*x^31 + 2827930981*x^30 + 1012027323*x^29 - 3704732923*x^28 + 8014549244*x^27 - 8768292353*x^26 + 4700885151*x^25 - 5149045400*x^24 - 962064670*x^23 + 3327208740*x^22 + 1391765977*x^21 + 6261427386*x^20 - 1046567499*x^19 - 3033865675*x^18- 5971742278*x^17 - 2491583389*x^16 + 1680960964*x^15 + 3974642468*x^14 + 2738718093*x^13 + 182967849*x^12 - 1367244097*x^11 - 1268478515*x^10 - 466762189*x^9 + 101030549*x^8 + 217376608*x^7 + 125724211*x^6 + 39891832*x^5 + 6932547*x^4 + 608246*x^3 + 23935*x^2 + 340*x + 1)*y^33
        - (5985*x^42 + 286083*x^41 - 17074806*x^40 + 4885527*x^39 + 155216415*x^38 - 296372336*x^37 + 145878808*x^36 + 553499260*x^35 - 1873838653*x^34 + 2882566244*x^33 - 2718547525*x^32 - 486683353*x^31 + 5349839008*x^30- 8148400095*x^29 + 11213880974*x^28 - 7721248375*x^27 + 1060734422*x^26 + 576858724*x^25 - 9797278631*x^24 + 7266770260*x^23 - 3406940935*x^22 + 11448886000*x^21 + 3639432705*x^20 + 250051165*x^19 - 7758127904*x^18 - 9668221133*x^17 - 3686763086*x^16 + 3585270442*x^15 + 7291809703*x^14 + 4894083891*x^13 + 304045088*x^12 - 2530322630*x^11 - 2462088291*x^10 - 1003400590*x^9 + 118677562*x^8 + 423983955*x^7 + 279807214*x^6 + 103605326*x^5 + 22447780*x^4 + 2632287*x^3 + 149477*x^2 + 3455*x + 22)*y^32
        + (1330*x^43 + 88445*x^42 - 11252066*x^41 - 11872245*x^40 + 125136907*x^39 - 124555450*x^38 - 104652950*x^37 + 736901681*x^36 - 1705564070*x^35 + 1735792253*x^34 - 321154279*x^33 - 3721367907*x^32 + 8090337621*x^31- 8912960468*x^30 + 8586136782*x^29 - 244262635*x^28 - 8017086506*x^27 + 10390172397*x^26 - 18450205094*x^25 + 8460896986*x^24 - 6007977146*x^23 + 8550890561*x^22 + 12775644023*x^21 + 4285373335*x^20 - 467182425*x^19 - 16088556669*x^18 - 13195462590*x^17 - 5468707158*x^16 + 7670104464*x^15 + 12063452348*x^14 + 8061257622*x^13 + 286818129*x^12 - 4390238900*x^11 - 4366029564*x^10 - 1916217692*x^9 + 101116134*x^8 + 750266288*x^7 + 554587716*x^6 + 231396535*x^5 + 59435719*x^4 + 8799396*x^3 + 670576*x^2 + 22351*x + 231)*y^31
        - (210*x^44 + 20510*x^43 - 6296080*x^42 - 16541140*x^41 + 73449460*x^40 - 3482591*x^39 - 177835420*x^38 + 631691475*x^37 - 1085210810*x^36 + 330479448*x^35 + 1462482029*x^34 - 5097325502*x^33 + 7410898243*x^32 - 5157196979*x^31 + 1550413332*x^30 + 9704145171*x^29 - 16006918064*x^28 + 15540419626*x^27 - 18190062593*x^26 + 160446243*x^25 + 530408339*x^24 - 5160304552*x^23 + 23274307263*x^22 + 6067345586*x^21 + 13635699417*x^20 - 12921232335*x^19 - 21025803544*x^18 - 20623366019*x^17 - 4389525978*x^16 + 13370885122*x^15 + 18944036930*x^14 + 11920175693*x^13 - 33390702*x^12 - 7164077034*x^11 - 7105319732*x^10 - 3286539458*x^9 + 26824166*x^8 + 1216542456*x^7 + 987259352*x^6 + 453473310*x^5 + 132848776*x^4 + 23720380*x^3 + 2304690*x^2 + 103390*x + 1540)*y^30
        + (21*x^45 + 3360*x^44 - 2959859*x^43 - 13252106*x^42 + 29868412*x^41 + 40929231*x^40 - 136835524*x^39 + 406215943*x^38 - 428601670*x^37 - 552408404*x^36 + 1955646528*x^35 - 4412531679*x^34 + 4165359136*x^33 + 130619966*x^32 - 4963134158*x^31 + 15533898131*x^30 - 15775159524*x^29 + 10749837167*x^28 - 6775279663*x^27 - 16111234660*x^26 + 11561584637*x^25 - 19825243698*x^24 + 25307939695*x^23 + 10431130709*x^22 + 21604257424*x^21 + 5623341249*x^20 - 22428150470*x^19 - 29504059446*x^18 - 28157587777*x^17 + 164890435*x^16 + 20705669194*x^15 + 28018152640*x^14 + 15840043678*x^13 - 860442145*x^12 - 10954385463*x^11 - 10664194127*x^10 - 5098560782*x^9 - 118389341*x^8 + 1819189660*x^7 + 1588300856*x^6 + 789118263*x^5 + 256301105*x^4 + 53142544*x^3 + 6320787*x^2 + 364154*x + 7315)*y^29
        - (x^46 + 347*x^45 - 1158794*x^44 - 7766959*x^43 + 6170595*x^42 + 36394096*x^41 - 71977366*x^40 + 203109971*x^39 - 10166619*x^38 - 744508322*x^37 + 1529516089*x^36 - 2707332840*x^35 + 694390274*x^34 + 3520310495*x^33 - 7563388556*x^32 + 14347526419*x^31 - 7680875853*x^30 + 512579051*x^29 + 8014324105*x^28 - 28233018420*x^27 + 14081082476*x^26 - 22375383454*x^25 + 10523842003*x^24 + 21688118125*x^23 + 16191868373*x^22 + 32414905947*x^21 - 13545843395*x^20 - 24759687718*x^19 - 47711460538*x^18 - 27470409482*x^17 + 3989126521*x^16 + 32093260269*x^15 + 37171817333*x^14 + 19771027784*x^13 - 2621542979*x^12 - 15514859292*x^11 - 14837204482*x^10 - 7207054076*x^9 - 335066842*x^8 + 2510416128*x^7 + 2320030255*x^6 + 1227949891*x^5 + 433183492*x^4 + 101141769*x^3 + 14227485*x^2 + 1015455*x + 26334)*y^28
        + (17*x^46 - 374044*x^45 - 3541237*x^44 - 1719085*x^43 + 18937916*x^42 - 28560438*x^41 + 75304895*x^40 + 140354448*x^39 - 539296084*x^38 + 860311504*x^37 - 1088331149*x^36 - 1344388485*x^35 + 4069451689*x^34 - 6535616519*x^33 + 8568937345*x^32 + 1639839372*x^31 - 7156129055*x^30 + 16732457796*x^29 - 26487699022*x^28 + 4345241931*x^27 - 11982987944*x^26 - 14532004702*x^25 + 30062225977*x^24 + 6462043447*x^23 + 47850995020*x^22 + 9950467989*x^21 - 12103393660*x^20 - 43638634918*x^19 - 57422944757*x^18 - 26069405735*x^17 + 10152085941*x^16 + 45450508010*x^15 + 45215118668*x^14 + 23295658590*x^13 - 5329499040*x^12 - 20298123775*x^11 - 19159851820*x^10 - 9377536973*x^9 - 618310742*x^8 + 3180866685*x^7 + 3083341254*x^6 + 1716110373*x^5 + 647377097*x^4 + 166133758*x^3 + 26823858*x^2 + 2301375*x + 74613)*y^27
        + (98144*x^46 + 1280930*x^45 + 2309642*x^44 - 6614945*x^43 + 8932850*x^42 - 14978079*x^41 - 130493190*x^40 + 268519438*x^39 - 346422169*x^38 + 88558818*x^37 + 1768950489*x^36 - 2911571787*x^35 + 3932881192*x^34 - 2418234095*x^33 - 6777215516*x^32 + 9145119522*x^31 - 16591178163*x^30 + 13843302918*x^29 + 7940825475*x^28 - 1152988003*x^27 + 32122254529*x^26 - 22454272019*x^25 - 3269686103*x^24 - 38490944735*x^23 - 40750696567*x^22 - 2415585190*x^21 + 14926254665*x^20 + 67541407786*x^19 + 55009825375*x^18 + 29860087477*x^17 - 22944842271*x^16 - 54764995676*x^15 - 53203909291*x^14 - 24970043895*x^13 + 7901490895*x^12 + 24688234037*x^11 + 22906744844*x^10 + 11374574577*x^9 + 989696794*x^8 - 3661742247*x^7 - 3722176668*x^6 - 2158933440*x^5 - 860076428*x^4 - 238104964*x^3 - 43000344*x^2 - 4317864*x - 170544)*y^26
        - (20475*x^47 + 367870*x^46 + 1224910*x^45 - 1418441*x^44 + 2139440*x^43 + 4168350*x^42 - 72996815*x^41 + 89249673*x^40 - 72056761*x^39 - 280283737*x^38 + 1271028398*x^37 - 1440797299*x^36 + 1461730534*x^35 + 1413627530*x^34 - 7097994594*x^33 + 7217623386*x^32 - 10692587943*x^31 + 304836765*x^30 + 13657984165*x^29 - 9107231857*x^28 + 32117920783*x^27 - 2926881239*x^26 - 4865530687*x^25 - 12639285204*x^24 - 56287359153*x^23 - 18526735863*x^22 - 17191323271*x^21 + 41869090984*x^20 + 67529313484*x^19 + 60797152303*x^18 + 26176050343*x^17 - 32916081299*x^16 - 60807307358*x^15 - 59222853073*x^14 - 25067421465*x^13 + 9312791480*x^12 + 27757700395*x^11 + 25397078014*x^10 + 12993819522*x^9 + 1536110571*x^8 - 3758516504*x^7 - 4055055523*x^6 - 2444239900*x^5 - 1018440808*x^4 - 299809310*x^3 - 59254325*x^2 - 6795920*x - 319770)*y^25
        + (3276*x^48 + 82719*x^47 + 438242*x^46 - 40057*x^45 + 275846*x^44 + 5446132*x^43 - 27679859*x^42 + 11993584*x^41 + 23241596*x^40 - 264780215*x^39 + 603168500*x^38 - 408961586*x^37 - 41023995*x^36 + 2469042122*x^35- 4759039843*x^34 + 3899795560*x^33 - 3560685695*x^32 - 7365021435*x^31 + 12580400705*x^30 - 10672238429*x^29 + 19366970178*x^28 + 12903295911*x^27 - 5527667641*x^26 + 10096208988*x^25 - 43822622702*x^24 - 30554059901*x^23 - 31823320839*x^22 - 5334996859*x^21 + 52356442915*x^20 + 62495611884*x^19 + 68158880946*x^18 + 15049158604*x^17 - 33314295901*x^16 - 66187309444*x^15 - 59717271790*x^14 - 25796355495*x^13 + 9459240494*x^12 + 28275236305*x^11 + 26312786682*x^10 + 14065515459*x^9 + 2387245600*x^8 - 3310904407*x^7 - 3933798368*x^6 - 2479241262*x^5 - 1074951620*x^4 - 332819185*x^3 - 70712595*x^2 - 9057565*x - 497420)*y^24
        - (378*x^49 + 14112*x^48 + 114786*x^47 + 108724*x^46 - 55811*x^45 + 2651053*x^44 - 6491731*x^43 - 6509953*x^42 + 29589641*x^41 - 135234922*x^40 + 167573247*x^39 + 43788907*x^38 - 502997673*x^37 + 1787598650*x^36 - 2077902635*x^35 + 966278312*x^34 + 1286253170*x^33 - 8351781025*x^32 + 8316612349*x^31 - 7265860632*x^30 + 4500788522*x^29 + 17628148912*x^28 - 5424115325*x^27 + 18509355892*x^26 - 16946433484*x^25 - 29663577814*x^24 - 26558336581*x^23 - 38266386029*x^22 + 15536363907*x^21 + 38926176980*x^20 + 69491749590*x^19 + 58887013858*x^18 + 12649596401*x^17 - 32150374059*x^16 - 65616493426*x^15 - 56503305848*x^14 - 27086368490*x^13 + 7849267326*x^12 + 25813075718*x^11 + 25543817772*x^10 + 14539012651*x^9 + 3589052744*x^8 - 2261667016*x^7 - 3309475718*x^6 - 2226580335*x^5 - 1007741813*x^4 - 325887640*x^3 - 73393707*x^2 - 10287529*x - 646646)*y^23
        + (28*x^50 + 1722*x^49 + 22036*x^48 + 50708*x^47 - 39452*x^46 + 773458*x^45 - 416598*x^44 - 5023169*x^43 + 13830816*x^42 - 41557200*x^41 + 2153608*x^40 + 115165395*x^39 - 372520525*x^38 + 756778875*x^37 - 383196119*x^36 - 555068631*x^35 + 2616978151*x^34 - 5382217274*x^33 + 3563899897*x^32 - 1745146243*x^31 - 4892531184*x^30 + 14505249864*x^29 - 5199324330*x^28 + 13850508985*x^27 + 3881333848*x^26 - 19190010087*x^25 - 12001897010*x^24 - 39302626423*x^23 - 16833497369*x^22 + 9451168215*x^21 + 35575421165*x^20 + 66124355950*x^19 + 45707991733*x^18 + 16589930738*x^17 - 31673248529*x^16 - 56378300616*x^15 - 52885944672*x^14 - 27001114426*x^13 + 3770376776*x^12 + 21239045606*x^11 + 23051468840*x^10 + 14489050173*x^9 + 4987285176*x^8 - 719848972*x^7 - 2269302656*x^6 - 1724059814*x^5 - 830002868*x^4 - 280565432*x^3 - 66329282*x^2 - 9993410*x - 705432)*y^22
        - (x^51 + 134*x^50 + 2962*x^49 + 13294*x^48 - 7453*x^47 + 132540*x^46 + 303238*x^45 - 1694250*x^44 + 3507102*x^43 - 5854351*x^42 - 20772508*x^41 + 60339209*x^40 - 145244989*x^39 + 148096118*x^38 + 183074222*x^37 - 724733282*x^36 + 1712940542*x^35 - 1968115100*x^34 + 214584919*x^33 + 2004049917*x^32 - 6739093185*x^31 + 8390677458*x^30 - 2896176049*x^29 + 3749824581*x^28 + 11885649984*x^27 - 10019023299*x^26 - 47733068*x^25 - 21549204659*x^24 - 26016112843*x^23 - 8362275310*x^22 + 687515153*x^21 + 37937981159*x^20 + 47774023367*x^19 + 41507170252*x^18 + 14724979791*x^17 - 25045865222*x^16 - 44987897370*x^15 - 47255278106*x^14 - 25798846763*x^13 - 1557212703*x^12 + 15619157693*x^11 + 19223078005*x^10 + 13910675538*x^9 + 6267688850*x^8 + 1014900616*x^7 - 1019064868*x^6 - 1077238611*x^5 - 583746937*x^4 - 210175796*x^3 - 52059411*x^2 - 8310106*x - 646646)*y^21
        + (5*x^51 + 250*x^50 + 2217*x^49 + 482*x^48 + 9247*x^47 + 119849*x^46 - 308138*x^45 + 348894*x^44 + 763993*x^43 - 9459272*x^42 + 15930271*x^41 - 28459326*x^40 - 26253013*x^39 + 165809896*x^38 - 362488394*x^37 + 563634547*x^36 - 126592997*x^35 - 922829886*x^34 + 2414475057*x^33 - 3966114708*x^32 + 2700138564*x^31 + 707265971*x^30 - 3443976782*x^29 + 10638448127*x^28 - 5036595053*x^27 + 2842991094*x^26 - 4274694335*x^25 -19003308041*x^24 - 9991121213*x^23 - 13587676573*x^22 + 5945458044*x^21 + 27374166841*x^20 + 34278467270*x^19 + 36105723811*x^18 + 10541085036*x^17 - 14473912908*x^16 - 35366514461*x^15 - 38211263038*x^14 - 24510638370*x^13 - 5708256085*x^12 + 9699779485*x^11 + 14912043285*x^10 + 12655758998*x^9 + 7092926824*x^8 + 2529179014*x^7 + 180106523*x^6 - 424564785*x^5 - 323155762*x^4 - 132928655*x^3 - 35147055*x^2 - 5901685*x - 497420)*y^20
        - (10*x^51 + 220*x^50 + 465*x^49 - 809*x^48 + 20701*x^47 - 19908*x^46 - 59410*x^45 + 513205*x^44 - 2098435*x^43 + 1494906*x^42 + 108014*x^41 - 25977470*x^40 + 55872932*x^39 - 90835475*x^38 + 40953542*x^37 + 258030907*x^36 - 659409899*x^35 + 1173168250*x^34 - 1009113598*x^33 - 341696682*x^32 + 2400072411*x^31 - 4354064665*x^30 + 5470218336*x^29 - 1227048320*x^28 - 642847292*x^27 + 4295931296*x^26 - 10341718378*x^25 -4513157918*x^24 - 10816200723*x^23 - 8372450474*x^22 + 7031126449*x^21 + 14851171825*x^20 + 27336579049*x^19 + 24939226238*x^18 + 10122762543*x^17 - 7506026978*x^16 - 25532713869*x^15 - 28586299129*x^14 - 22086554339*x^13 - 7747133888*x^12 + 4509963059*x^11 + 10817130174*x^10 + 10711146620*x^9 + 7206031640*x^8 + 3472530267*x^7 + 1091875033*x^6 + 110179957*x^5 - 96874160*x^4 - 64156350*x^3 - 19811205*x^2 - 3551385*x - 319770)*y^19
        + (10*x^51 + 80*x^50 - 172*x^49 + 1648*x^48 + 3167*x^47 - 23548*x^46 + 96035*x^45 - 223202*x^44 - 340395*x^43 + 1398440*x^42 - 7495881*x^41 + 7816698*x^40 - 5745046*x^39 - 41003353*x^38 + 130978299*x^37 - 209011259*x^36 + 233723875*x^35 + 170813930*x^34 - 810399591*x^33 + 1677647806*x^32 - 1951790329*x^31 + 1035979671*x^30 + 1414740726*x^29 - 3244686813*x^28 + 4815977050*x^27 - 4410723465*x^26 - 1888005803*x^25 - 3157608655*x^24 - 8889465987*x^23 - 1087969209*x^22 + 1644439897*x^21 + 10411053681*x^20 + 18346321677*x^19 + 15792693992*x^18 + 9791339861*x^17 - 4297148862*x^16 - 15822076233*x^15 - 20626238039*x^14 - 17642179194*x^13 - 8135316475*x^12 + 1065754085*x^11 + 7215594002*x^10 + 8365321634*x^9 + 6525622156*x^8 + 3710266833*x^7 + 1577893032*x^6 + 454371696*x^5 + 64185728*x^4 - 12377360*x^3 - 8307408*x^2 - 1767456*x -170544)*y^18
        - (5*x^51 - 2*x^50 + 12*x^49 + 761*x^48 - 3026*x^47 + 7614*x^46 - 1214*x^45 - 129502*x^44 + 313333*x^43 - 1081048*x^42 - 519738*x^41 + 2829228*x^40 - 17019823*x^39 + 26184454*x^38 - 22850044*x^37 - 30010942*x^36 + 206199572*x^35 - 352775259*x^34 + 513953836*x^33 - 156330418*x^32 - 591490028*x^31 + 1673512793*x^30 - 2360176731*x^29 + 1884500689*x^28 - 532856620*x^27 - 2439617232*x^26 + 1317423034*x^25 - 5422421371*x^24 - 1646736207*x^23 - 1620433247*x^22 + 612527810*x^21 + 7442850915*x^20 + 9760193405*x^19 + 10732112289*x^18 + 6888863794*x^17 - 1824813393*x^16 - 8878569335*x^15 - 13906270234*x^14 - 12432396455*x^13 - 7217205371*x^12 - 561456959*x^11 + 4300771054*x^10 + 6006607086*x^9 + 5233767575*x^8 + 3340413324*x^7 + 1638858111*x^6 + 597057576*x^5 + 151234553*x^4 + 20189182*x^3 - 869193*x^2 - 657780*x - 74613)*y^17
        + (x^51 - 6*x^50 + 57*x^49 - 146*x^48 - 48*x^47 + 2724*x^46 - 19501*x^45 + 32114*x^44 - 69957*x^43 - 378095*x^42 + 813599*x^41 - 3057296*x^40 + 672884*x^39 + 4541317*x^38 - 26426503*x^37 + 57639893*x^36 - 54786501*x^35 + 22840379*x^34 + 215620821*x^33 - 444477190*x^32 + 715748054*x^31 - 584310677*x^30 - 167567978*x^29 + 964568381*x^28 - 2228024377*x^27 + 1390051284*x^26 - 1984382433*x^25 - 1599852020*x^24 - 227417057*x^23 - 2055576335*x^22 + 1850364171*x^21 + 3355496883*x^20 + 5428618046*x^19 + 6598624288*x^18 + 3904093826*x^17 - 95209170*x^16 - 4911532101*x^15 - 8243140590*x^14 - 7979260877*x^13 - 5343839828*x^12 -1047331064*x^11 + 2268902403*x^10 + 3918331893*x^9 + 3714872394*x^8 + 2602913651*x^7 + 1395857134*x^6 + 576990262*x^5 + 174477292*x^4 + 35340311*x^3 + 3299021*x^2 - 65569*x - 26334)*y^16
        - (7*x^49 - 63*x^48 + 357*x^47 - 1526*x^46 + 749*x^45 + 4039*x^44 - 71867*x^43 + 108298*x^42 - 290254*x^41 - 694989*x^40 + 1732051*x^39 - 5736165*x^38 + 4653980*x^37 + 5533390*x^36 - 29301440*x^35 + 88983614*x^34 -97009159*x^33 + 94739646*x^32 + 119189622*x^31 - 434588335*x^30 + 664854831*x^29 - 890256212*x^28 + 96970658*x^27 + 43439976*x^26 - 1614497061*x^25 + 628576911*x^24 - 1499928807*x^23 + 22629503*x^22 + 883091971*x^21 + 1398095676*x^20 + 3200387824*x^19 + 3206634182*x^18 + 2254287072*x^17 + 335235349*x^16 - 2533193501*x^15 - 4270298800*x^14 - 4669047934*x^13 - 3302376489*x^12 - 987243488*x^11 + 1078701306*x^10 +2277368554*x^9 + 2341287548*x^8 + 1768783468*x^7 + 1018046396*x^6 + 459811275*x^5 + 154917827*x^4 + 37143820*x^3 + 5081610*x^2 + 219415*x - 7315)*y^15
        + (21*x^47 - 336*x^46 + 1540*x^45 - 7504*x^44 + 6237*x^43 - 1684*x^42 - 171902*x^41 + 263072*x^40 - 631379*x^39 - 847539*x^38 + 3036096*x^37 - 7836701*x^36 + 10810700*x^35 + 3665868*x^34 - 24371886*x^33 + 97562838*x^32 - 136281980*x^31 + 135835703*x^30 - 43649973*x^29 - 342723411*x^28 + 401984850*x^27 - 878404362*x^26 + 174471450*x^25 - 329358204*x^24 - 642235593*x^23 + 523643399*x^22 - 96752399*x^21 + 1077836673*x^20 + 1386746144*x^19 + 1473164776*x^18 + 1242302886*x^17 + 201064448*x^16 - 1082759589*x^15 - 2009044058*x^14 - 2394929565*x^13 - 1755961574*x^12 - 694342474*x^11 + 465208748*x^10 + 1163476596*x^9 + 1310874082*x^8 + 1049406820*x^7 + 646579448*x^6 + 312733158*x^5 + 115295840*x^4 + 30813460*x^3 + 5167530*x^2 + 336910*x - 1540)*y^14
        - (35*x^45 - 1155*x^44 + 4704*x^43 - 22253*x^42 + 21360*x^41 - 18042*x^40 - 285556*x^39 + 462042*x^38 - 861115*x^37 - 716996*x^36 + 4295347*x^35 - 8601986*x^34 + 15666666*x^33 - 3191150*x^32 - 16716770*x^31 + 73142415*x^30 - 154077147*x^29 + 123881356*x^28 - 163787940*x^27 - 205708776*x^26 + 159761648*x^25 - 553441928*x^24 + 229065139*x^23 - 130848634*x^22 + 107587899*x^21 + 559956175*x^20 + 462013358*x^19 + 746640862*x^18 + 526439545*x^17 + 119510944*x^16 - 381645571*x^15 - 861472630*x^14 - 1044068818*x^13 - 826369395*x^12 - 378425965*x^11 + 172878461*x^10 + 523515246*x^9 + 647083731*x^8 + 544107560*x^7 + 358727344*x^6 + 183841475*x^5 + 73646297*x^4 + 21452360*x^3 + 4193543*x^2 + 350306*x - 231)*y^13
        + (35*x^43 - 2772*x^42 + 10311*x^41 - 44378*x^40 + 43774*x^39 - 34489*x^38 - 345955*x^37 + 595342*x^36 - 767243*x^35 - 513486*x^34 + 4682691*x^33 - 8498354*x^32 + 15953242*x^31 - 13341538*x^30 - 10644124*x^29 + 33108807*x^28 - 135174268*x^27 + 86212292*x^26 - 167915392*x^25 - 65116192*x^24 + 66707334*x^23 - 181045946*x^22 + 234585188*x^21 + 78271071*x^20 + 254617549*x^19 + 298333000*x^18 + 195292555*x^17 + 85987861*x^16- 122061804*x^15 - 316658177*x^14 - 388114316*x^13 - 340597667*x^12 - 163308248*x^11 + 50533382*x^10 + 209721148*x^9 + 277911238*x^8 + 246869368*x^7 + 172920479*x^6 + 93810771*x^5 + 40483552*x^4 + 12775313*x^3 + 2818413*x^2 + 293695*x - 22)*y^12
        - (21*x^41 - 4851*x^40 + 16517*x^39 - 62966*x^38 + 59167*x^37 - 33504*x^36 - 317815*x^35 + 554940*x^34 - 445208*x^33 - 491926*x^32 + 3732552*x^31 - 8075680*x^30 + 12201685*x^29 - 20161080*x^28 - 5499493*x^27 + 4582816*x^26 - 86337263*x^25 + 55198313*x^24 - 95264949*x^23 + 21452658*x^22 + 49875846*x^21 + 3850992*x^20 + 142219839*x^19 + 70869280*x^18 + 95977175*x^17 + 38992962*x^16 - 29995085*x^15 - 93831886*x^14 - 124340170*x^13 - 117897826*x^12 - 57768001*x^11 + 11089070*x^10 + 74848457*x^9 + 102751064*x^8 + 97775229*x^7 + 71742432*x^6 + 41484309*x^5 + 19036483*x^4 + 6530774*x^3 + 1579404*x^2 + 203479*x - 1)*y^11
        + x*(7*x^38 - 6378*x^37 + 19587*x^36 - 65376*x^35 + 53491*x^34 - 15308*x^33 - 228317*x^32 + 352478*x^31 - 185114*x^30 - 595667*x^29 + 2074980*x^28 - 7009697*x^27 + 7641893*x^26 - 18866854*x^25 - 343894*x^24 - 3905100*x^23 - 36820717*x^22 + 34175613*x^21 - 30354314*x^20 + 35992901*x^19 + 29695815*x^18 + 24350925*x^17 + 43206930*x^16 + 11710405*x^15 + 956151*x^14 - 22110477*x^13 - 32927259*x^12 - 32892599*x^11 -16987983*x^10 + 2335128*x^9 + 23381017*x^8 + 32641430*x^7 + 33439255*x^6 + 25369220*x^5 + 15759680*x^4 + 7584708*x^3 + 2848860*x^2 + 736440*x + 116280)*y^10
        - x*(x^36 - 6426*x^35 + 17205*x^34 - 50171*x^33 + 30538*x^32 + 507*x^31 - 131801*x^30 + 125648*x^29 - 106090*x^28 - 595793*x^27 + 779997*x^26 - 5019206*x^25 + 4398727*x^24 - 12045403*x^23 + 2827974*x^22 - 2454876*x^21 - 8719605*x^20 + 17368830*x^19 - 4308315*x^18 + 18139186*x^17 + 9199319*x^16 + 7066490*x^15 + 4249882*x^14 - 3465288*x^13 - 6190951*x^12 - 7071377*x^11 - 3890569*x^10 + 846249*x^9 + 6281723*x^8 + 8941702*x^7 + 9685941*x^6 + 7574967*x^5 + 5056876*x^4 + 2531690*x^3 + 1045494*x^2 + 283917*x + 54264)*y^9
        - x*(5005*x^33 - 11011*x^32 + 28392*x^31 - 8190*x^30 - 2702*x^29 + 63236*x^28 + 4131*x^27 + 103031*x^26 + 429496*x^25 - 223115*x^24 + 2774330*x^23 - 2430954*x^22 + 5466571*x^21 - 2930716*x^20 + 554484*x^19 + 115177*x^18 - 6227043*x^17 - 349261*x^16 - 4863609*x^15 - 1336803*x^14 - 657501*x^13 + 479601*x^12 + 951178*x^11 + 535124*x^10 - 389588*x^9 - 1461635*x^8 - 2104472*x^7 - 2322844*x^6 - 1886289*x^5 - 1336886*x^4 - 697836*x^3 - 315609*x^2 - 89547*x - 20349)*y^8
        + x*(3003*x^31 - 4914*x^30 + 11739*x^29 + 2107*x^28 + 1390*x^27 + 26491*x^26 + 32259*x^25 + 78848*x^24 + 222222*x^23 - 89649*x^22 + 1152108*x^21 - 1185909*x^20 + 1815959*x^19 - 1611489*x^18 + 3798*x^17 - 691711*x^16 - 1512214*x^15 - 329316*x^14 - 807206*x^13 - 137261*x^12 - 84065*x^11 - 30012*x^10 - 150791*x^9 - 301628*x^8 - 416668*x^7 - 451703*x^6 - 382942*x^5 - 282059*x^4 - 155393*x^3 - 75920*x^2 - 22705*x - 5985)*y^7
        - x*(1365*x^29 - 1365*x^28 + 3535*x^27 + 2965*x^26 + 2964*x^25 + 10148*x^24 + 19320*x^23 + 38669*x^22 + 83032*x^21 - 54812*x^20 + 355670*x^19 - 464519*x^18 + 444305*x^17 - 573632*x^16 - 39349*x^15 - 273482*x^14 - 255860*x^13 - 101888*x^12 - 105078*x^11 - 44516*x^10 - 47118*x^9 - 55323*x^8 - 67124*x^7 - 69709*x^6 - 60840*x^5 - 45614*x^4 - 26908*x^3 - 13920*x^2 - 4490*x - 1330)*y^6
        + x*(455*x^27 - 140*x^26 + 810*x^25 + 1313*x^24 + 1764*x^23 + 3427*x^22 + 6542*x^21 + 12009*x^20 + 21655*x^19 - 27542*x^18 + 80397*x^17 - 138448*x^16 + 76904*x^15 - 138598*x^14 - 14815*x^13 - 58575*x^12 - 30755*x^11 - 18790*x^10 - 11710*x^9 - 9043*x^8 - 8440*x^7 - 8195*x^6 - 7080*x^5 - 5335*x^4 - 3381*x^3 - 1820*x^2 - 655*x - 210)*y^5
        - x*(105*x^25 + 45*x^24 + 162*x^23 + 329*x^22 + 530*x^21 + 858*x^20 + 1409*x^19 + 2279*x^18 + 3564*x^17 - 9590*x^16 + 12963*x^15 - 29756*x^14 + 8677*x^13 - 22030*x^12 - 2575*x^11 - 6885*x^10 - 2071*x^9 - 1520*x^8 - 756*x^7 - 663*x^6 - 541*x^5 - 405*x^4 - 270*x^3 - 151*x^2 - 63*x - 21)*y^4
        + x*(15*x^23 + 18*x^22 + 29*x^21 + 50*x^20 + 81*x^19 + 122*x^18 + 173*x^17 + 234*x^16 + 305*x^15 - 2214*x^14 + 1452*x^13 - 4245*x^12 + 610*x^11 - 2006*x^10 - 157*x^9 - 331*x^8 - 36*x^7 - 28*x^6 - 21*x^5 - 15*x^4 - 10*x^3 - 6*x^2 - 3*x - 1)*y^3
        - x^9*(x^13 + 2*x^12 + 3*x^11 + 4*x^10 + 5*x^9 + 6*x^8 + 7*x^7 + 8*x^6 + 9*x^5 - 315*x^4 + 115*x^3 - 352*x^2 + 24*x - 78)*y^2
        - x^9*(26*x^2 - 5*x + 13)*y
        + x^9;
r:= (x^2*y - x*y + y - 1) / (x^2*y - x);
s:=(x*y - y + 1) / (x*y);
E:=[s-r*s+1,r*s-r^2*s,r*s-r^2*s,0,0];
P:=[0,0];