N:=49; R:=PolynomialRing(Rationals(),2); X:=u^17*v^21 - u^12*(3*u^6 + 12*u^5 + 2*u^4 + 3*u^3 + u^2 - 1)*v^20 + u^9*(3*u^10 + 38*u^9 + 73*u^8 + 39*u^7 + 40*u^6 + 9*u^5 - 2*u^4 - 11*u^3 - 3*u^2 - 3*u - 1)*v^19 + u^6*(u^16 + 2*u^15 + 5*u^14 - 34*u^13 - 222*u^12 - 332*u^11 - 298*u^10 - 217*u^9 - 36*u^8 + 26*u^7 + 75*u^6 + 48*u^5 + 39*u^4 + 10*u^3 + 2*u^2 - 1)*v^18 - u^3*(3*u^20 + 18*u^19 + 47*u^18 + 84*u^17 - 125*u^16 - 767*u^15 - 1175*u^14 - 1207*u^13 - 664*u^12 - 106*u^11 + 198*u^10 + 396*u^9 + 317*u^8 + 212*u^7 + 53*u^6 + 16*u^5 - 11*u^4 - 10*u^3 - 2*u^2 - 2*u - 1)*v^17 + u*(3*u^23 + 39*u^22 + 154*u^21 + 399*u^20 + 661*u^19 + 61*u^18 - 1596*u^17 - 3009*u^16 - 3052*u^15 - 1509*u^14 - 290*u^13 + 905*u^12 + 1395*u^11 + 1154*u^10 + 657*u^9 + 175*u^8 + 11*u^7 - 97*u^6 - 51*u^5 - 28*u^4 -22*u^3 - 8*u^2 - u - 1)*v^16 - u*(u^25 + 4*u^24 + 37*u^23 + 224*u^22 + 747*u^21 + 1859*u^20 + 3022*u^19 + 1954*u^18 - 1817*u^17 - 5682*u^16 - 5856*u^15 - 3499*u^14 - 821*u^13 + 2275*u^12 + 3112*u^11 + 2645*u^10 + 1317*u^9 + 305*u^8 - 210*u^7 - 348*u^6 - 187*u^5 - 149*u^4 - 88*u^3 - 28*u^2 - 11*u - 6)*v^15 + (3*u^27 + 18*u^26 + 57*u^25 + 218*u^24 + 784*u^23 + 2296*u^22 + 5469*u^21 + 8709*u^20 + 7121*u^19 - 798*u^18 - 9023*u^17 - 10558*u^16 - 8145*u^15 - 2432*u^14 + 2950*u^13 + 4737*u^12 + 4285*u^11 + 1927*u^10 + 241*u^9 - 697*u^8 - 662*u^7 - 465*u^6 - 367*u^5 - 166*u^4 - 62*u^3 - 39*u^2 - 12*u + 1)*v^14 - (3*u^28 + 33*u^27 + 138*u^26 + 375*u^25 + 889*u^24 + 2029*u^23 + 4863*u^22 + 10814*u^21 + 16710*u^20 + 14072*u^19 + 256*u^18 - 13232*u^17 - 17713*u^16 - 14898*u^15 - 5741*u^14 + 1787*u^13 + 6100*u^12 + 5771*u^11 + 2654*u^10 + 368*u^9 - 707*u^8 - 662*u^7 - 644*u^6 - 398*u^5 - 140*u^4 - 93*u^3 - 58*u^2 - 4*u + 4)*v^13 + (u^29 + 23*u^28 + 161*u^27 + 593*u^26 + 1477*u^25 + 2774*u^24 + 4387*u^23 + 7567*u^22 + 14900*u^21 + 22531*u^20 + 18674*u^19 + 289*u^18 - 16670*u^17 - 23466*u^16 - 19691*u^15 - 9332*u^14 + 817*u^13 + 7784*u^12 + 7064*u^11 + 3826*u^10 + 1403*u^9 + 278*u^8 - 199*u^7 - 306*u^6 - 29*u^5 - 16*u^4 - 87*u^3 - 25*u^2 + 18*u + 6)*v^12 - (3*u^29 + 66*u^28 + 429*u^27 + 1552*u^26 + 3763*u^25 + 6466*u^24 + 8057*u^23 + 9353*u^22 + 15196*u^21 + 23149*u^20 + 18827*u^19 - 368*u^18 - 16803*u^17 - 23542*u^16 - 20561*u^15 - 11213*u^14 + 979*u^13 + 7697*u^12 + 6485*u^11 + 4110*u^10 + 2248*u^9 + 946*u^8 + 208*u^7 + 305*u^6 + 318*u^5 + 29*u^4 - 40*u^3 + 30*u^2 + 27*u + 4)*v^11 - (3*u^30 + 18*u^29 - 29*u^28 - 536*u^27 - 2360*u^26 - 6179*u^25 - 10754*u^24 - 12254*u^23 - 11037*u^22 - 14350*u^21 - 21286*u^20 - 15658*u^19 + 1559*u^18 + 13821*u^17 + 19829*u^16 + 19444*u^15 + 11347*u^14 + 503*u^13 - 3384*u^12 - 2670*u^11 - 2054*u^10 - 1149*u^9 - 148*u^8 - 109*u^7 - 454*u^6 - 213*u^5 + 37*u^4 - 3*u^3 - 42*u^2 - 15*u - 1)*v^10 + u*(u^30 + 24*u^29 + 145*u^28 + 404*u^27 + 419*u^26 - 1049*u^25 - 5520*u^24 - 11890*u^23 - 15129*u^22 - 14602*u^21 - 17270*u^20 - 21224*u^19 - 12246*u^18 + 847*u^17 + 8133*u^16 + 14105*u^15 + 14997*u^14 + 8684*u^13 + 2502*u^12 + 1419*u^11 + 1099*u^10 + 367*u^9 + 664*u^8 + 829*u^7 + 132*u^6 - 152*u^5 + 49*u^4 + 69*u^3 - 13*u^2 - 19*u - 3)*v^9 - u^2*(6*u^29 + 84*u^28 + 468*u^27 + 1533*u^26 + 3218*u^25 + 3985*u^24 + 831*u^23 - 6726*u^22 - 13977*u^21 - 17440*u^20 - 21374*u^19 - 21201*u^18 - 10749*u^17 - 3768*u^16 + 356*u^15 + 5292*u^14 + 5660*u^13 + 2452*u^12 + 1133*u^11 + 1832*u^10 + 1267*u^9 + 707*u^8 + 1013*u^7 + 710*u^6 + 114*u^5 + 52*u^4 + 104*u^3 + 35*u^2 - 6*u - 3)*v^8 + u^3*(15*u^28 + 168*u^27 + 894*u^26 + 2983*u^25 + 6804*u^24 + 10604*u^23 + 9963*u^22 + 2482*u^21 - 7015*u^20 - 13140*u^19 - 17888*u^18 - 15090*u^17 - 8147*u^16 - 6519*u^15 - 4298*u^14 - 2011*u^13 - 2125*u^12 - 2676*u^11 - 1404*u^10 - 127*u^9 - 254*u^8 - 29*u^7 + 361*u^6 + 168*u^5 + 5*u^4 + 47*u^3 + 40*u^2 + 6*u - 1)*v^7 - u^5*(u^6 + 3*u^5 + 2*u^4 - u^3 + 4*u^2 - 2*u + 1)*(u^6 + 3*u^5 + 9*u^4 + 13*u^3 + 11*u^2 + 5*u + 1)*(20*u^14 + 89*u^13 + 154*u^12 - 26*u^11 - 117*u^10 + 40*u^9 - 150*u^8 + 44*u^7 + 140*u^6 - 122*u^5 - 16*u^4 + 27*u^3 - 30*u^2 - 4*u + 5)*v^6 + u^6*(u^6 + 3*u^5 + 2*u^4 - u^3 + 4*u^2 - 2*u + 1)*(u^6 + 3*u^5 + 9*u^4 + 13*u^3 + 11*u^2 + 5*u + 1)*(15*u^13 + 72*u^12 + 90*u^11 - 54*u^10 + 18*u^9 + 16*u^8 - 81*u^7 + 103*u^6 + 25*u^5 - 54*u^4 + 12*u^3 - 3*u^2 - 7*u + 1)*v^5 - u^8*(u^6 + 3*u^5 + 2*u^4 - u^3 + 4*u^2 - 2*u + 1)*(u^6 + 3*u^5 + 9*u^4 + 13*u^3 + 11*u^2 + 5*u + 1)*(6*u^11 + 33*u^10 - 3*u^9 - 28*u^8 + 61*u^7 - 20*u^6 - 8*u^5 + 54*u^4 - 8*u^3 - 6*u^2 + 4*u - 2)*v^4 + u^10*(u^6 + 3*u^5 + 2*u^4 - u^3 + 4*u^2 - 2*u + 1)*(u^6 + 3*u^5 + 9*u^4 + 13*u^3 + 11*u^2 + 5*u + 1)*(u^9 - 2*u^8 - 35*u^7 + 6*u^6 + 26*u^5 - 18*u^4 + 10*u^3 + 10*u^2 - 3*u + 1)*v^3 + u^13*(12*u^5 + 18*u^4 - 9*u^3 - u^2 + 4*u - 3)*(u^6 + 3*u^5 + 2*u^4 - u^3 + 4*u^2 - 2*u + 1)*(u^6 + 3*u^5 + 9*u^4 + 13*u^3 + 11*u^2 + 5*u + 1)*v^2 - u^15*(u + 1)*(6*u^2 - 3*u + 1)*(u^6 + 3*u^5 + 2*u^4 - u^3 + 4*u^2 - 2*u + 1)*(u^6 + 3*u^5 + 9*u^4 + 13*u^3 + 11*u^2 + 5*u + 1)*v + u^18*(u^6 + 3*u^5 + 2*u^4 - u^3 + 4*u^2 - 2*u + 1)*(u^6 + 3*u^5 + 9*u^4 + 13*u^3 + 11*u^2 + 5*u + 1); x:=v; y:=(11235485152*u^26*x^4 - 40113921444*u^26*x^3 + 57756872584*u^26*x^2 - 40113921444*u^26*x + 11235485152*u^26 - 62736313382*u^25*x^5 + 290142536680*u^25*x^4 - 543505478070*u^25*x^3 + 524076544173*u^25*x^2 - 264525233946*u^25*x + 56547944545*u^25 + 11235485152*u^24*x^7 + 42264651419*u^24*x^6 - 562922758216*u^24*x^5 + 1789385978734*u^24*x^4 - 2774082333632*u^24*x^3 + 2356785816947*u^24*x^2 - 1066491061432*u^24*x + 203824221028*u^24 - 62736313382*u^23*x^8 + 326033374701*u^23*x^7 - 327563950085*u^23*x^6 - 1544314978304*u^23*x^5 + 5681146476711*u^23*x^4 - 8620582258350*u^23*x^3 + 7076282805670*u^23*x^2 - 3099133228627*u^23*x + 570868071666*u^23 + 88786038851*u^22*x^9 - 914454636676*u^22*x^8 + 3172777022812*u^22*x^7 - 4606459821025*u^22*x^6 + 129730099240*u^22*x^5 + 10466394497973*u^22*x^4 - 18266385835227*u^22*x^3 + 15586166098799*u^22*x^2 - 6927416277348*u^22*x + 1270862812601*u^22 - 9494813968*u^21*x^10 + 802847392456*u^21*x^9 - 5168688515867*u^21*x^8 + 14508210982379*u^21*x^7 - 22035178620560*u^21*x^6 + 15573505699412*u^21*x^5 + 7000964498376*u^21*x^4 - 27396553863971*u^21*x^3 + 26666189825887*u^21*x^2 - 12107360352510*u^21*x + 2165557768366*u^21 - 171899316427*u^20*x^11 + 407312507419*u^20*x^10 + 2567524052828*u^20*x^9 - 16092082132483*u^20*x^8 + 42872679381105*u^20*x^7 - 68214582578859*u^20*x^6 + 62299159302049*u^20*x^5 - 16507631326159*u^20*x^4 - 29044693375524*u^20*x^3 + 35433386439685*u^20*x^2 - 16537892744698*u^20*x + 2993547810228*u^20 + 256905259756*u^19*x^12 - 1665550538704*u^19*x^11 + 3062736815649*u^19*x^10 + 4263001877983*u^19*x^9 - 35101494928933*u^19*x^8 + 93848450937231*u^19*x^7 - 147753769766050*u^19*x^6 + 137651882738314*u^19*x^5 - 56756695208683*u^19*x^4 - 21013031808144*u^19*x^3 + 38190397387917*u^19*x^2 - 17999932438330*u^19*x + 3019323849053*u^19 - 159160696283*u^18*x^13 + 1610901162123*u^18*x^12 - 6248269060831*u^18*x^11 + 10925524196030*u^18*x^10 + 310328820838*u^18*x^9 - 53514539588357*u^18*x^8 + 150774923338483*u^18*x^7 - 226623988766129*u^18*x^6 + 199682269803284*u^18*x^5 - 87159158819479*u^18*x^4 - 9262547489734*u^18*x^3 + 32809961498993*u^18*x^2 - 15751906387163*u^18*x + 2614979876938*u^18 + 52397708100*u^17*x^14 - 759669598829*u^17*x^13 + 4721654606464*u^17*x^12 - 16055224703757*u^17*x^11 + 30517032970886*u^17*x^10 - 18531256571393*u^17*x^9 - 60088926623521*u^17*x^8 + 181726190172596*u^17*x^7 - 246251640224456*u^17*x^6 + 198698514131412*u^17*x^5 - 90582170596719*u^17*x^4 + 5482468193724*u^17*x^3 + 20083144615621*u^17*x^2 - 10706917698685*u^17*x + 1695835584620*u^17 - 13067557190*u^16*x^15 + 207569817273*u^16*x^14 - 1772498538381*u^16*x^13 + 9168418048500*u^16*x^12 - 30081907371092*u^16*x^11 + 55465780869791*u^16*x^10 - 35553343579721*u^16*x^9 - 59557198365298*u^16*x^8 + 157123707623012*u^16*x^7 - 176393936150712*u^16*x^6 + 135265291596768*u^16*x^5 - 74887811134044*u^16*x^4 + 18835913131039*u^16*x^3 + 6733343949911*u^16*x^2 - 5497508567816*u^16*x + 941606835653*u^16 + 2519405017*u^15*x^16 - 43660844443*u^15*x^15 + 187520943898*u^15*x^14 - 919270142117*u^15*x^13 + 7719953383862*u^15*x^12 - 32527240404282*u^15*x^11 + 57963268506228*u^15*x^10 - 25676409143917*u^15*x^9 - 53401584469589*u^15*x^8 + 84006777303479*u^15*x^7 - 61444460161325*u^15*x^6 + 52713171392601*u^15*x^5 - 46669049374846*u^15*x^4 + 19466705953308*u^15*x^3 + 702046561309*u^15*x^2 - 2423314242916*u^15*x + 342479355229*u^15 + 5827589031*u^14*x^16 + 209773852016*u^14*x^15 - 1786636257930*u^14*x^14 + 6106147403707*u^14*x^13 - 6123869695796*u^14*x^12 - 11790701306110*u^14*x^11 + 20625900411464*u^14*x^10 + 23412396937562*u^14*x^9 - 60849202328713*u^14*x^8 + 17001304455377*u^14*x^7 + 32656807554965*u^14*x^6 - 13832472414583*u^14*x^5 - 15767571239854*u^14*x^4 + 11608765346116*u^14*x^3 - 811310825677*u^14*x^2 - 713819699252*u^14*x + 85227974653*u^14 - 154000447986*u^13*x^16 + 1142578548418*u^13*x^15 - 5160599935992*u^13*x^14 + 16111532953864*u^13*x^13 - 28666704523387*u^13*x^12 + 31933623091579*u^13*x^11 - 47876081258338*u^13*x^10 + 81686937937856*u^13*x^9 - 57806448357831*u^13*x^8 - 35861516002802*u^13*x^7 + 83507204688403*u^13*x^6 - 44201327834295*u^13*x^5 + 380122605763*u^13*x^4 + 5889939032225*u^13*x^3 - 757759207843*u^13*x^2 - 174087098875*u^13*x - 14738715238*u^13 + 52397708100*u^12*x^17 - 336766899532*u^12*x^16 + 1377224115551*u^12*x^15 - 6847832871138*u^12*x^14 + 23963835039589*u^12*x^13 - 46511227148571*u^12*x^12 + 57957160676718*u^12*x^11 - 66726594850326*u^12*x^10 + 67521692750934*u^12*x^9 - 14000929987429*u^12*x^8 - 71296887306338*u^12*x^7 + 93571929381725*u^12*x^6 - 45063143972099*u^12*x^5 + 3965681653779*u^12*x^4 + 2407686824429*u^12*x^3 - 118483934110*u^12*x^2 + 61871501463*u^12*x - 53299149962*u^12 - 13067557190*u^11*x^18 + 55162540640*u^11*x^17 + 9067083271*u^11*x^16 + 261460844615*u^11*x^15 - 4819677248918*u^11*x^14 + 17512619749352*u^11*x^13 - 29170010653889*u^11*x^12 + 29595457163925*u^11*x^11 - 28350504887644*u^11*x^10 + 17577435622504*u^11*x^9 + 32236330243302*u^11*x^8 - 88545421585106*u^11*x^7 + 82424106357374*u^11*x^6 - 31295826189708*u^11*x^5 + 1355305450482*u^11*x^4 + 770832279640*u^11*x^3 + 464066793685*u^11*x^2 - 58931466247*u^11*x - 33489326179*u^11 + 2519405017*u^10*x^19 - 4458172873*u^10*x^18 - 112716283064*u^10*x^17 + 788214870631*u^10*x^16 - 2213244635017*u^10*x^15 + 2847347346192*u^10*x^14 - 36082233477*u^10*x^13 - 3534669575998*u^10*x^12 - 983657662288*u^10*x^11 + 14264143997203*u^10*x^10 - 34270068742890*u^10*x^9 + 62314544641093*u^10*x^8 - 74427401055028*u^10*x^7 + 46728129522309*u^10*x^6 - 9409350772905*u^10*x^5 - 2540913982715*u^10*x^4 - 64367916176*u^10*x^3 + 723704086945*u^10*x^2 - 54630049554*u^10*x - 26824894118*u^10 - 1730626020*u^9*x^19 + 44648454019*u^9*x^18 - 315808934528*u^9*x^17 + 1198428385195*u^9*x^16 - 3444688344316*u^9*x^15 + 7056757248525*u^9*x^14 - 9234117685117*u^9*x^13 + 14616441092798*u^9*x^12 - 34756006741744*u^9*x^11 + 55198713547216*u^9*x^10 - 52537337657890*u^9*x^9 + 39361326321343*u^9*x^8 - 28766640219289*u^9*x^7 + 12358046547179*u^9*x^6 + 2027943121113*u^9*x^5 - 3393929254963*u^9*x^4 + 468402513489*u^9*x^3 + 65638103738*u^9*x^2 + 61632042231*u^9*x - 19549446424*u^9 - 4764303745*u^8*x^19 + 22645061003*u^8*x^18 - 95885025648*u^8*x^17 + 894984931395*u^8*x^16 - 4180420600861*u^8*x^15 + 9450843437994*u^8*x^14 - 14778643681096*u^8*x^13 + 27400461434123*u^8*x^12 - 48400440588507*u^8*x^11 + 51728477694662*u^8*x^10 - 27621257159116*u^8*x^9 + 7805377820772*u^8*x^8 - 5519143877325*u^8*x^7 + 2147309651558*u^8*x^6 + 4178262683317*u^8*x^5 - 4208761382603*u^8*x^4 + 1286920605149*u^8*x^3 - 113034499865*u^8*x^2 + 15137793924*u^8*x - 5472612991*u^8 + 4395461731*u^7*x^19 - 5452980426*u^7*x^18 - 206543159889*u^7*x^17 + 1240442710460*u^7*x^16 - 3233462049196*u^7*x^15 + 5303193813483*u^7*x^14 - 9768259046416*u^7*x^13 + 22041691467908*u^7*x^12 - 35057715391275*u^7*x^11 + 29095928795894*u^7*x^10 - 6243336482060*u^7*x^9 - 6578445969433*u^7*x^8 + 4183322209898*u^7*x^7 - 3430289634887*u^7*x^6 + 5181045722929*u^7*x^5 - 3049275031479*u^7*x^4 + 433259700052*u^7*x^3 + 125761197226*u^7*x^2 - 28571526881*u^7*x - 1957857202*u^6*x^19 + 15669856725*u^6*x^18 - 51334084019*u^6*x^17 + 91954575710*u^6*x^16 - 353739282069*u^6*x^15 + 1809498343871*u^6*x^14 - 4797397285335*u^6*x^13 + 8162326248888*u^6*x^12 - 9044294644366*u^6*x^11 + 399931663621*u^6*x^10 + 15320711171184*u^6*x^9 - 19982957963207*u^6*x^8 + 11378156307565*u^6*x^7 - 4533854263457*u^6*x^6 + 2318321949879*u^6*x^5 - 740143941555*u^6*x^4 - 69039576684*u^6*x^3 + 93708042743*u^6*x^2 - 10945225982*u^6*x - 5124799695*u^5*x^18 + 25166408090*u^5*x^17 + 89060547600*u^5*x^16 - 431563378287*u^5*x^15 - 736478748323*u^5*x^14 + 5578901214073*u^5*x^13 - 9726596089921*u^5*x^12 + 9944352897889*u^5*x^11 - 14976172619016*u^5*x^10 + 23125315824096*u^5*x^9 - 19159711264227*u^5*x^8 + 7159129454174*u^5*x^7 - 1100982783212*u^5*x^6 + 509698568625*u^5*x^5 - 392970355671*u^5*x^4 + 84562043998*u^5*x^3 + 1923145525*u^5*x^2 + 2936785803*u^4*x^18 - 28031299059*u^4*x^17 - 30261407114*u^4*x^16 + 942520037774*u^4*x^15 - 3867706974037*u^4*x^14 + 7463746546016*u^4*x^13 - 8825985743676*u^4*x^12 + 10418730030854*u^4*x^11 - 14550477921930*u^4*x^10 + 14228349585028*u^4*x^9 - 6923978699732*u^4*x^8 + 1007919270414*u^4*x^7 + 23044082753*u^4*x^6 + 362181575264*u^4*x^5 - 288583953255*u^4*x^4 + 68497989044*u^4*x^3 - 5472612991*u^4*x^2 + 10723624805*u^3*x^17 - 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120793504666*u*x^11 - 151851842502*u*x^10 - 24972226667*u*x^9 + 599502354882*u*x^8 - 641007734402*u*x^7 + 261518972785*u*x^6 - 44124307887*u*x^5 + 4636892961*u*x^4 + 1957857202*x^16 - 6676857940*x^15 - 680897875*x^14 + 31660289921*x^13 - 104827273265*x^12 + 209550993529*x^11 - 181816515720*x^10 - 20170506989*x^9 + 138166236437*x^8 - 82590054074*x^7 + 15008868759*x^6 + 417860015*x^5); 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];