m := 2; n := 25; g := 109; F := Rationals(); R:=PolynomialRing(F,2); X := (u^25 - 5*u^24 + 10*u^23 - 10*u^22 + 5*u^21 - u^20)*v^45 - (20*u^26 - 115*u^25 + 235*u^24 - 115*u^23 - 360*u^22 + 851*u^21 - 997*u^20 + 811*u^19 - 495*u^18 + 220*u^17 - 66*u^16 + 12*u^15 - u^14)*v^44 + (190*u^27 - 1240*u^26 + 2650*u^25 + 215*u^24 - 11855*u^23 + 27014*u^22 - 34154*u^21 + 29163*u^20 - 17520*u^19 + 6582*u^18 - 539*u^17 - 916*u^16 + 527*u^15 - 130*u^14 + 13*u^13)*v^43 - (1140*u^28 - 8360*u^27 + 18970*u^26 + 12630*u^25 - 158040*u^24 + 391928*u^23 - 550762*u^22 + 508162*u^21 - 311945*u^20 + 102030*u^19 + 19859*u^18 - 42103*u^17 + 19623*u^16 - 2225*u^15 - 1455*u^14 + 627*u^13 - 79*u^12)*v^42 + (4845*u^29 - 39615*u^28 + 96370*u^27 + 119470*u^26 - 1262280*u^25 + 3487036*u^24 - 5515010*u^23 + 5638340*u^22 - 3706895*u^21 + 1181783*u^20 + 455790*u^19 - 775996*u^18 + 364624*u^17 - 4048*u^16 - 67258*u^15 + 24404*u^14 - 145*u^13 - 1712*u^12 + 297*u^11)*v^41 - (15504*u^30 - 140505*u^29 + 368655*u^28 + 660675*u^27 - 6925240*u^26 + 21411580*u^25 - 38271062*u^24 + 44067704*u^23 - 32313364*u^22 + 11551457*u^21 + 4297735*u^20 - 8522702*u^19 + 4503464*u^18 + 73813*u^17 - 1259823*u^16 + 500937*u^15 + 39789*u^14 - 72741*u^13 + 12246*u^12 + 2649*u^11 - 771*u^10)*v^40 + (38760*u^31 - 387600*u^30 + 1101090*u^29 + 2555345*u^28 - 28002595*u^27 + 96779824*u^26 - 195328218*u^25 + 255164488*u^24 - 213897130*u^23 + 93341240*u^22 + 20096825*u^21 - 62898798*u^20 + 40091434*u^19 - 1570942*u^18 - 13312440*u^17 + 6763160*u^16 + 564274*u^15 - 1453319*u^14 + 298179*u^13 + 95660*u^12 - 39375*u^11 - 1324*u^10 + 1462*u^9)*v^39 - (77520*u^32 - 852720*u^31 + 2629560*u^30 + 7435630*u^29 - 87078920*u^28 + 335299830*u^27 - 761444002*u^26 + 1129234188*u^25 - 1092420684*u^24 + 594535752*u^23 + 11595260*u^22 - 326723669*u^21 + 264439498*u^20 - 41408009*u^19 - 86572793*u^18 + 61782669*u^17 + 505730*u^16 - 16683236*u^15 + 5054891*u^14 + 1462112*u^13 - 936383*u^12 + 6511*u^11 + 67266*u^10 - 3910*u^9 - 2091*u^8)*v^38 + (125970*u^33 - 1521330*u^32 + 5103060*u^31 + 16927580*u^30 - 214108205*u^29 + 915027133*u^28 - 2327206178*u^27 + 3905309506*u^26 - 4357030435*u^25 + 2925489685*u^24 - 496516859*u^23 - 1199310785*u^22 + 1310049854*u^21 - 412068655*u^20 - 344204315*u^19 + 382597950*u^18 - 48925890*u^17 - 115288527*u^16 + 56155944*u^15 + 10227670*u^14 - 12946897*u^13 + 1152547*u^12 + 1255653*u^11 - 240500*u^10 - 67620*u^9 + 11346*u^8 + 2298*u^7)*v^37 - (167960*u^34 - 2225470*u^33 + 8136710*u^32 + 30867410*u^31 - 424140560*u^30 + 2004645569*u^29 - 5682187739*u^28 + 10734384237*u^27 - 13729786179*u^26 + 11141573851*u^25 - 3833992665*u^24 - 2952396942*u^23 + 4913856480*u^22 - 2484354883*u^21 - 669407574*u^20 + 1603702269*u^19 - 518980888*u^18 - 472673752*u^17 + 395167625*u^16 + 14227319*u^15 - 107860056*u^14 + 24052597*u^13 + 12429994*u^12 - 5028631*u^11 - 622074*u^10 + 432912*u^9 + 30825*u^8 - 16386*u^7 - 1959*u^6)*v^36 + (184756*u^35 - 2687360*u^34 + 10736180*u^33 + 45747510*u^32 - 685579150*u^31 + 3572898420*u^30 - 11235690548*u^29 + 23758124045*u^28 - 34558608648*u^27 + 33186931874*u^26 - 16799437080*u^25 - 3721783566*u^24 + 13994453400*u^23 - 10353328961*u^22 + 896283643*u^21 + 4422317537*u^20 - 2762406486*u^19 - 967362769*u^18 + 1751488188*u^17 - 264798368*u^16 - 539989121*u^15 + 240423819*u^14 + 62139030*u^13 - 55944021*u^12 + 781758*u^11 + 6055938*u^10 - 577443*u^9 - 406708*u^8 + 16893*u^7 + 15942*u^6 + 1297*u^5)*v^35 - (167960*u^36 - 2687360*u^35 + 11770460*u^34 + 55581500*u^33 - 911692400*u^32 + 5227745256*u^31 - 18167673332*u^30 + 42760407084*u^29 - 70142622469*u^28 + 78234203770*u^27 - 51602099387*u^26 + 4140317566*u^25 + 30141255078*u^24 - 31722057048*u^23 + 11337469125*u^22 + 6916016668*u^21 - 9078790022*u^20 + 472495715*u^19 + 4726481064*u^18 - 2009766590*u^17 - 1550867338*u^16 + 1356293490*u^15 + 77369537*u^14 - 361993113*u^13 + 64007180*u^12 + 44170413*u^11 - 13987914*u^10 - 2915644*u^9 + 1249787*u^8 + 204985*u^7 - 42107*u^6 - 11273*u^5 - 661*u^4)*v^34 + (125970*u^37 - 2225470*u^36 + 10736180*u^35 + 55581500*u^34 - 1002062880*u^33 + 6314971896*u^32 - 24178948452*u^31 + 63029383616*u^30 - 115669281998*u^29 + 147476054146*u^28 - 118970057035*u^27 + 34361694245*u^26 + 48386176792*u^25 - 74162473711*u^24 + 43770384972*u^23 - 82169287*u^22 - 19242892068*u^21 + 9337378080*u^20 + 6266287838*u^19 - 6783091718*u^18 - 1957993018*u^17 + 4528383672*u^16 - 738406829*u^15 - 1373221563*u^14 + 582488118*u^13 + 161008974*u^12 - 128464485*u^11 - 1428504*u^10 + 13888533*u^9 - 860118*u^8 - 994302*u^7 - 17524*u^6 + 38427*u^5 + 5940*u^4 + 253*u^3)*v^33 - (77520*u^38 - 1521330*u^37 + 8136710*u^36 + 45747510*u^35 - 911692400*u^34 + 6314971896*u^33 - 26585189332*u^32 + 76437309616*u^31 - 155818509024*u^30 + 224064273530*u^29 - 212571273452*u^28 + 95938618160*u^27 + 55955687291*u^26 - 136166938038*u^25 + 109804073215*u^24 - 32135775542*u^23 - 24858141100*u^22 + 30403889811*u^21 - 4098420111*u^20 - 11498765510*u^19 + 1951908744*u^18 + 8562349584*u^17 - 4230392714*u^16 - 2872911106*u^15 + 2640847645*u^14 + 105662618*u^13 - 644176932*u^12 + 112495972*u^11 + 73206567*u^10 - 23130630*u^9 - 4766900*u^8 + 2028284*u^7 + 396445*u^6 - 53345*u^5 - 22400*u^4 - 2323*u^3 - 69*u^2)*v^32 + (38760*u^39 - 852720*u^38 + 5103060*u^37 + 30867410*u^36 - 685579150*u^35 + 5227745256*u^34 - 24178948452*u^33 + 76437309616*u^32 - 172026843068*u^31 + 275823619360*u^30 - 299404838958*u^29 + 175131720752*u^28 + 43184991791*u^27 - 202355075833*u^26 + 205009289190*u^25 - 97390032619*u^24 - 12410104330*u^23 + 58144146150*u^22 - 37092288850*u^21 - 3185053149*u^20 + 11508920733*u^19 + 5859015930*u^18 - 9813148701*u^17 - 2211908842*u^16 + 6746582264*u^15 - 1394076665*u^14 - 1817618402*u^13 + 822715110*u^12 + 177285202*u^11 - 160048059*u^10 + 3606663*u^9 + 16118954*u^8 - 1478703*u^7 - 1191961*u^6 - 37233*u^5 + 44484*u^4 + 9195*u^3 + 648*u^2 + 12*u)*v^31 - (15504*u^40 - 387600*u^39 + 2629560*u^38 + 16927580*u^37 - 424140560*u^36 + 3572898420*u^35 - 18167673332*u^34 + 63029383616*u^33 - 155818509024*u^32 + 275823619360*u^31 - 335317690280*u^30 + 232944333862*u^29 + 18744696807*u^28 - 252846398132*u^27 + 304103384547*u^26 - 181271981178*u^25 + 20132343085*u^24 + 76917096085*u^23 - 84681229187*u^22 + 29983722430*u^21 + 17357937962*u^20 - 12454292291*u^19 - 8447046207*u^18 + 3567851301*u^17 + 9021309235*u^16 - 5616328373*u^15 - 2521052582*u^14 + 2840514152*u^13 - 68101975*u^12 - 583742086*u^11 + 129811907*u^10 + 53318644*u^9 - 22870326*u^8 - 2564948*u^7 + 1957114*u^6 + 308059*u^5 - 43521*u^4 - 20351*u^3 - 2664*u^2 - 116*u - 1)*v^30 + (4845*u^41 - 140505*u^40 + 1101090*u^39 + 7435630*u^38 - 214108205*u^37 + 2004645569*u^36 - 11235690548*u^35 + 42760407084*u^34 - 115669281998*u^33 + 224064273530*u^32 - 299404838958*u^31 + 232944333862*u^30 + 6216659636*u^29 - 277831645038*u^28 + 375988127315*u^27 - 253435068781*u^26 + 55170581879*u^25 + 78361912033*u^24 - 116821700713*u^23 + 73458721900*u^22 + 6508511553*u^21 - 40268549545*u^20 + 11708417280*u^19 + 10262186643*u^18 + 1423104790*u^17 - 9124504402*u^16 + 29750818*u^15 + 5203300216*u^14 - 1584146436*u^13 - 1132018750*u^12 + 628421354*u^11 + 60946739*u^10 - 99282574*u^9 + 12101453*u^8 + 8569760*u^7 - 1836452*u^6 - 692553*u^5 - 4708*u^4 + 27179*u^3 + 6260*u^2 + 498*u + 10)*v^29 - (1140*u^42 - 39615*u^41 + 368655*u^40 + 2555345*u^39 - 87078920*u^38 + 915027133*u^37 - 5682187739*u^36 + 23758124045*u^35 - 70142622469*u^34 + 147476054146*u^33 - 212571273452*u^32 + 175131720752*u^31 + 18744696807*u^30 - 277831645038*u^29 + 401637631756*u^28 - 292078208286*u^27 + 74863869565*u^26 + 71171493864*u^25 - 111758672592*u^24 + 88506408746*u^23 - 15491990307*u^22 - 53187194959*u^21 + 43911041614*u^20 + 7166097241*u^19 - 17684315856*u^18 - 2713193234*u^17 + 5839435494*u^16 + 3682229882*u^15 - 4022394049*u^14 - 732287438*u^13 + 1510798672*u^12 - 177003588*u^11 - 235428466*u^10 + 77079812*u^9 + 10622717*u^8 - 11321756*u^7 + 484468*u^6 + 983627*u^5 + 86776*u^4 - 21521*u^3 - 9201*u^2 - 1246*u - 45)*v^28 + (190*u^43 - 8360*u^42 + 96370*u^41 + 660675*u^40 - 28002595*u^39 + 335299830*u^38 - 2327206178*u^37 + 10734384237*u^36 - 34558608648*u^35 + 78234203770*u^34 - 118970057035*u^33 + 95938618160*u^32 + 43184991791*u^31 - 252846398132*u^30 + 375988127315*u^29 - 292078208286*u^28 + 79668057692*u^27 + 66507716318*u^26 - 83797074163*u^25 + 58696895645*u^24 - 25567477069*u^23 - 32702676983*u^22 + 56422367477*u^21 - 7168839197*u^20 - 34684968910*u^19 + 16848268077*u^18 + 8551202537*u^17 - 4977015764*u^16 - 3638054612*u^15 + 1421721950*u^14 + 1722156988*u^13 - 814407116*u^12 - 286179280*u^11 + 213615073*u^10 - 8509460*u^9 - 22707389*u^8 + 8071357*u^7 + 1187512*u^6 - 970136*u^5 - 165780*u^4 + 7283*u^3 + 8692*u^2 + 2004*u + 120)*v^27 - (20*u^44 - 1240*u^43 + 18970*u^42 + 119470*u^41 - 6925240*u^40 + 96779824*u^39 - 761444002*u^38 + 3905309506*u^37 - 13729786179*u^36 + 33186931874*u^35 - 51602099387*u^34 + 34361694245*u^33 + 55955687291*u^32 - 202355075833*u^31 + 304103384547*u^30 - 253435068781*u^29 + 74863869565*u^28 + 66507716318*u^27 - 68450454432*u^26 + 19655464804*u^25 - 16329434347*u^24 + 10860232960*u^23 + 24752539068*u^22 - 17540168358*u^21 - 30302258274*u^20 + 34348201636*u^19 + 2565536914*u^18 - 16142899776*u^17 + 3138829593*u^16 + 3518947659*u^15 - 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5940*u^33 + 22400*u^32 - 44484*u^31 + 43521*u^30 + 4708*u^29 - 86776*u^28 + 165780*u^27 - 204428*u^26 + 177146*u^25 - 103073*u^24 + 38360*u^23 - 8785*u^22 - 1784*u^21 + 5868*u^20 - 4416*u^19 + 1351*u^18 - 90*u^17 - 19*u^16)*v^4 + (253*u^33 - 2323*u^32 + 9195*u^31 - 20351*u^30 + 27179*u^29 - 21521*u^28 + 7283*u^27 + 6375*u^26 - 15948*u^25 + 19512*u^24 - 15342*u^23 + 7968*u^22 - 3420*u^21 + 1824*u^20 - 916*u^19 + 260*u^18 - 28*u^17)*v^3 + (69*u^32 - 648*u^31 + 2664*u^30 - 6260*u^29 + 9201*u^28 - 8692*u^27 + 5190*u^26 - 1656*u^25 - 465*u^24 + 1536*u^23 - 1692*u^22 + 1068*u^21 - 373*u^20 + 60*u^19 - 2*u^18)*v^2 + (12*u^31 - 116*u^30 + 498*u^29 - 1246*u^28 + 2004*u^27 - 2160*u^26 + 1596*u^25 - 852*u^24 + 396*u^23 - 204*u^22 + 98*u^21 - 30*u^20 + 4*u^19)*v + u^30 - 10*u^29 + 45*u^28 - 120*u^27 + 210*u^26 - 252*u^25 + 210*u^24 - 120*u^23 + 45*u^22 - 10*u^21 + u^20; q := (v-u+2)/(u+v); t := (u-v)*(u-v-2)*(u+v)/(u^3-u^2*v-2*u^2+u*v^2+2*u*v-v^3-2*v^2+2); E := [0,t^2-2*q*t-2,0,-(t^2-1)*(q*t+1)^2,0]; P := [R!0,0]; Q := [(t+1)*(q*t+1),t*(q*t+1)*(t+1)];