m := 2; n := 27; g := 118; F := Rationals(); R:=PolynomialRing(F,2); X := (u^27 + 9*u^26 + 36*u^25 + 84*u^24 + 126*u^23 + 126*u^22 + 84*u^21 + 36*u^20 + 9*u^19 + u^18)*v^48 + (21*u^28 + 222*u^27 + 1017*u^26 + 2685*u^25 + 4509*u^24 + 4950*u^23 + 3444*u^22 + 1296*u^21 + 36*u^20 - 191*u^19 - 72*u^18 - 6*u^17 + u^16)*v^47 + (210*u^29 + 2559*u^28 + 13341*u^27 + 39822*u^26 + 75438*u^25 + 93291*u^24 + 72672*u^23 + 29727*u^22 - 204*u^21 - 5383*u^20 - 657*u^19 + 1361*u^18 + 669*u^17 + 90*u^16 - u^15 + u^14)*v^46 + (1330*u^30 + 18420*u^29 + 108462*u^28 + 364715*u^27 + 779616*u^26 + 1095294*u^25 + 983856*u^24 + 485748*u^23 + 34155*u^22 - 83675*u^21 - 7263*u^20 + 33943*u^19 + 12776*u^18 - 4806*u^17 - 4078*u^16 - 837*u^15 - 66*u^14 - 14*u^13)*v^45 + (5985*u^31 + 93195*u^30 + 615294*u^29 + 2319324*u^28 + 5576391*u^27 + 8893791*u^26 + 9259200*u^25 + 5617926*u^24 + 1017687*u^23 - 907484*u^22 - 316152*u^21 + 312399*u^20 + 102054*u^19 - 168111*u^18 - 119105*u^17 - 11224*u^16 + 11827*u^15 + 3757*u^14 + 483*u^13 + 91*u^12)*v^44 + (20349*u^32 + 353286*u^31 + 2598345*u^30 + 10922151*u^29 + 29399643*u^28 + 52981248*u^27 + 63582600*u^26 + 46806516*u^25 + 14150580*u^24 - 6589759*u^23 - 5972871*u^22 + 381812*u^21 + 247593*u^20 - 2214996*u^19 - 1664944*u^18 + 2644*u^17 + 413197*u^16 + 130509*u^15 - 8662*u^14 - 8855*u^13 - 1638*u^12 - 364*u^11)*v^43 + (54264*u^33 + 1043613*u^32 + 8503317*u^31 + 39662070*u^30 + 118927368*u^29 + 240721755*u^28 + 330103032*u^27 + 289250082*u^26 + 124189125*u^25 - 28043318*u^24 - 60598062*u^23 - 20955833*u^22 - 4755603*u^21 - 16463835*u^20 - 14115263*u^19 + 958069*u^18 + 6243691*u^17 + 2275083*u^16 - 454465*u^15 - 401453*u^14 - 44254*u^13 + 8918*u^12 + 3003*u^11 + 1001*u^10)*v^42 + (116280*u^34 + 2465136*u^33 + 22151340*u^32 + 114142113*u^31 + 379453230*u^30 + 857510694*u^29 + 1331500464*u^28 + 1363775076*u^27 + 765181881*u^26 - 29721978*u^25 - 389545491*u^24 - 256739961*u^23 - 82217214*u^22 - 79906398*u^21 - 75777961*u^20 + 9541249*u^19 + 55871303*u^18 + 25649603*u^17 - 6037897*u^16 - 7371160*u^15 - 926605*u^14 + 568146*u^13 + 151112*u^12 + 7943*u^11 - 2002*u^10 - 2002*u^9)*v^41 + (203490*u^35 + 4738410*u^34 + 46791072*u^33 + 265372380*u^32 + 973951461*u^31 + 2443916691*u^30 + 4261414728*u^29 + 5023498806*u^28 + 3499935102*u^27 + 445864836*u^26 - 1716352287*u^25 - 1703360274*u^24 - 731554660*u^23 - 301832988*u^22 - 240491618*u^21 + 68648600*u^20 + 332280941*u^19 + 197293662*u^18 - 38016453*u^17 - 77430721*u^16 - 15840154*u^15 + 9397621*u^14 + 3793232*u^13 - 169154*u^12 - 207806*u^11 - 38467*u^10 - 4433*u^9 + 3003*u^8)*v^40 + (293930*u^36 + 7500060*u^35 + 81180882*u^34 + 505267506*u^33 + 2040001632*u^32 + 5657063994*u^31 + 10998096216*u^30 + 14732122500*u^29 + 12309844179*u^28 + 3480283543*u^27 - 5375393382*u^26 - 7675299585*u^25 - 4351944298*u^24 - 1193987856*u^23 - 275730590*u^22 + 478231220*u^21 + 1412184527*u^20 + 1056503217*u^19 - 107347987*u^18 - 518792722*u^17 - 175756479*u^16 + 75050519*u^15 + 52844366*u^14 - 273267*u^13 - 5364951*u^12 - 705001*u^11 + 88358*u^10 + 52480*u^9 + 15444*u^8 - 3432*u^7)*v^39 + (352716*u^37 + 9850854*u^36 + 116692794*u^35 + 795392124*u^34 + 3522963924*u^33 + 10754369748*u^32 + 23172732468*u^31 + 34904655009*u^30 + 34107211263*u^29 + 14684913430*u^28 - 12030212613*u^27 - 25384561083*u^26 - 18663637892*u^25 - 5485637808*u^24 + 1050246456*u^23 + 2816482222*u^22 + 4617077760*u^21 + 4004649370*u^20 + 76349846*u^19 - 2332224371*u^18 - 1241032980*u^17 + 306831831*u^16 + 437212845*u^15 + 47449862*u^14 - 60944962*u^13 - 15162205*u^12 + 3013179*u^11 + 1152449*u^10 + 148035*u^9 - 22299*u^8 - 24739*u^7 + 3003*u^6)*v^38 + (352716*u^38 + 10783032*u^37 + 139725924*u^36 + 1041779550*u^35 + 5052090600*u^34 + 16925630556*u^33 + 40225349076*u^32 + 67558173048*u^31 + 75738078834*u^30 + 43322309723*u^29 - 18473871654*u^28 - 64267644694*u^27 - 60251288871*u^26 - 23302258818*u^25 + 5106226250*u^24 + 12196243970*u^23 + 12702996708*u^22 + 10953353746*u^21 + 1708294019*u^20 - 7184660339*u^19 - 5780795069*u^18 + 383218322*u^17 + 2274905496*u^16 + 636903190*u^15 - 354170502*u^14 - 186624823*u^13 + 18110086*u^12 + 20412801*u^11 + 1213374*u^10 - 587468*u^9 - 269937*u^8 - 36579*u^7 + 26026*u^6 - 2002*u^5)*v^37 + (293930*u^39 + 9850854*u^38 + 139725924*u^37 + 1139385832*u^36 + 6043355262*u^35 + 22172655606*u^34 + 57901845744*u^33 + 107687000736*u^32 + 136451959938*u^31 + 96490380829*u^30 - 15970522179*u^29 - 128374044287*u^28 - 151209522831*u^27 - 78585194349*u^26 + 5998042001*u^25 + 37378519048*u^24 + 31737151665*u^23 + 22401140348*u^22 + 6322771189*u^21 - 15068964830*u^20 - 18156558633*u^19 - 2353959830*u^18 + 7635862866*u^17 + 4048966966*u^16 - 1002847585*u^15 - 1269130159*u^14 - 74954198*u^13 + 179163863*u^12 + 31155585*u^11 - 10484468*u^10 - 2834546*u^9 - 349590*u^8 + 163099*u^7 + 77343*u^6 - 19383*u^5 + 1001*u^4)*v^36 + (203490*u^40 + 7500060*u^39 + 116692794*u^38 + 1041779550*u^37 + 6043355262*u^36 + 24252728544*u^35 + 69398601888*u^34 + 142144604712*u^33 + 201146275317*u^32 + 168014648935*u^31 + 3770493549*u^30 - 208011322245*u^29 - 303046163472*u^28 - 205087527756*u^27 - 22453337435*u^26 + 80100799173*u^25 + 72440122843*u^24 + 37593022271*u^23 + 12322824346*u^22 - 20303875621*u^21 - 37914376361*u^20 - 14093942578*u^19 + 16039883692*u^18 + 15318237414*u^17 - 242495662*u^16 - 5124670947*u^15 - 1368558346*u^14 + 777518205*u^13 + 361134755*u^12 - 50824570*u^11 - 37834538*u^10 - 1171684*u^9 + 1138181*u^8 + 685267*u^7 + 32522*u^6 - 74851*u^5 + 10374*u^4 - 364*u^3)*v^35 + (116280*u^41 + 4738410*u^40 + 81180882*u^39 + 795392124*u^38 + 5052090600*u^37 + 22172655606*u^36 + 69398601888*u^35 + 155871833148*u^34 + 243904600434*u^33 + 232931073377*u^32 + 36673173900*u^31 - 281969187037*u^30 - 496760901918*u^29 - 420224072745*u^28 - 125370846166*u^27 + 114924342939*u^26 + 143038212625*u^25 + 62838798988*u^24 + 14443685223*u^23 - 13231514905*u^22 - 47328437093*u^21 - 36309120218*u^20 + 17095856626*u^19 + 36091725952*u^18 + 8180065186*u^17 - 12525602985*u^16 - 7281096049*u^15 + 1429993917*u^14 + 1996312460*u^13 + 107920708*u^12 - 263174433*u^11 - 38223019*u^10 + 14192013*u^9 + 3642529*u^8 + 772073*u^7 - 357195*u^6 - 131780*u^5 + 45788*u^4 - 3927*u^3 + 91*u^2)*v^34 + (54264*u^42 + 2465136*u^41 + 46791072*u^40 + 505267506*u^39 + 3522963924*u^38 + 16925630556*u^37 + 57901845744*u^36 + 142144604712*u^35 + 243904600434*u^34 + 259484859380*u^33 + 63029969394*u^32 - 331144344560*u^31 - 680446748971*u^30 - 689690921562*u^29 - 327936007895*u^28 + 90054873526*u^27 + 231983453629*u^26 + 120409687805*u^25 + 17854385077*u^24 + 8588040398*u^23 - 15309900006*u^22 - 47630806562*u^21 - 6664430270*u^20 + 48136700492*u^19 + 29286322182*u^18 - 16576011822*u^17 - 20990435333*u^16 - 1203733786*u^15 + 6053491247*u^14 + 1823694728*u^13 - 822344649*u^12 - 398367955*u^11 + 50582779*u^10 + 34776477*u^9 + 1874951*u^8 - 532402*u^7 - 987857*u^6 - 31954*u^5 + 109738*u^4 - 18647*u^3 + 1002*u^2 - 14*u)*v^33 + (20349*u^43 + 1043613*u^42 + 22151340*u^41 + 265372380*u^40 + 2040001632*u^39 + 10754369748*u^38 + 40225349076*u^37 + 107687000736*u^36 + 201146275317*u^35 + 232931073377*u^34 + 63029969394*u^33 - 347806281084*u^32 - 792411586915*u^31 - 921859459182*u^30 - 581078467018*u^29 - 22187255496*u^28 + 304217743403*u^27 + 235091974939*u^26 + 55665325561*u^25 + 34782771601*u^24 + 61313171361*u^23 - 9505019307*u^22 - 52895046000*u^21 + 10940699178*u^20 + 46451857894*u^19 - 2241492291*u^18 - 34455487115*u^17 - 12019201690*u^16 + 10182519220*u^15 + 7277053255*u^14 - 729325080*u^13 - 1701391088*u^12 - 154895674*u^11 + 191629926*u^10 + 27932360*u^9 - 6395223*u^8 - 2115268*u^7 - 1216305*u^6 + 327148*u^5 + 145362*u^4 - 51017*u^3 + 4942*u^2 - 155*u + 1)*v^32 + (5985*u^44 + 353286*u^43 + 8503317*u^42 + 114142113*u^41 + 973951461*u^40 + 5657063994*u^39 + 23172732468*u^38 + 67558173048*u^37 + 136451959938*u^36 + 168014648935*u^35 + 36673173900*u^34 - 331144344560*u^33 - 792411586915*u^32 - 1014232013472*u^31 - 762296738809*u^30 - 167598638785*u^29 + 332721883853*u^28 + 397916502851*u^27 + 168135627053*u^26 + 55775146492*u^25 + 118855457192*u^24 + 74185174969*u^23 - 80739211155*u^22 - 91363321080*u^21 + 15868969157*u^20 + 33176998239*u^19 - 22052845769*u^18 - 26351601738*u^17 + 6727106404*u^16 + 14852175204*u^15 + 2442065522*u^14 - 3611754242*u^13 - 1436618504*u^12 + 390184083*u^11 + 238419410*u^10 - 17365920*u^9 - 12110072*u^8 - 1981131*u^7 - 801978*u^6 + 747679*u^5 + 74443*u^4 - 88312*u^3 + 14390*u^2 - 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148234*u^12 + 35024*u^11 + 32624*u^10 + 4820*u^9 + 126*u^8)*v^13 + (91*u^44 - 1638*u^43 + 8918*u^42 + 151112*u^41 - 169154*u^40 - 5364951*u^39 - 15162205*u^38 + 18110086*u^37 + 179163863*u^36 + 361134755*u^35 + 107920708*u^34 - 822344649*u^33 - 1701391088*u^32 - 1436618504*u^31 - 111527358*u^30 + 960536376*u^29 + 960421130*u^28 + 445939908*u^27 + 181852019*u^26 + 122712883*u^25 + 27325366*u^24 - 23251850*u^23 - 14122016*u^22 - 27454288*u^21 - 27506837*u^20 - 5397601*u^19 - 1777409*u^18 - 4265171*u^17 - 566530*u^16 + 441918*u^15 - 126876*u^14 + 148234*u^13 + 161948*u^12 + 27478*u^11 - 766*u^10 - 294*u^9)*v^12 - (364*u^43 - 3003*u^42 - 7943*u^41 + 207806*u^40 + 705001*u^39 - 3013179*u^38 - 20412801*u^37 - 31155585*u^36 + 50824570*u^35 + 263174433*u^34 + 398367955*u^33 + 154895674*u^32 - 390184083*u^31 - 746256143*u^30 - 595886577*u^29 - 172694192*u^28 + 91387338*u^27 + 108216981*u^26 + 79873759*u^25 + 79689768*u^24 + 51123116*u^23 + 18735837*u^22 + 11562155*u^21 + 2789881*u^20 - 6181932*u^19 - 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22299*u^38 - 269937*u^37 - 349590*u^36 + 1138181*u^35 + 3642529*u^34 + 1874951*u^33 - 6395223*u^32 - 12110072*u^31 - 6761094*u^30 + 4256513*u^29 + 11024522*u^28 + 9766946*u^27 + 2091232*u^26 - 5049276*u^25 - 5802734*u^24 - 3294279*u^23 - 1980861*u^22 - 1125891*u^21 - 122478*u^20 + 110869*u^19 - 68412*u^18 - 42669*u^17 + 27947*u^16 + 17358*u^15 + 1470*u^14 - 126*u^13)*v^8 - (3432*u^39 + 24739*u^38 + 36579*u^37 - 163099*u^36 - 685267*u^35 - 772073*u^34 + 532402*u^33 + 2115268*u^32 + 1981131*u^31 + 1191474*u^30 + 2015563*u^29 + 3605824*u^28 + 4308204*u^27 + 4143723*u^26 + 2898275*u^25 + 808185*u^24 - 479544*u^23 - 547089*u^22 - 420699*u^21 - 382299*u^20 - 207012*u^19 - 38522*u^18 + 1208*u^17 - 4059*u^16 - 2416*u^15 - 216*u^14)*v^7 + (3003*u^38 + 26026*u^37 + 77343*u^36 + 32522*u^35 - 357195*u^34 - 987857*u^33 - 1216305*u^32 - 801978*u^31 - 297202*u^30 + 150725*u^29 + 884164*u^28 + 1510683*u^27 + 1486960*u^26 + 1135020*u^25 + 783937*u^24 + 349173*u^23 - 12666*u^22 - 95864*u^21 - 41862*u^20 - 16588*u^19 - 13576*u^18 - 6270*u^17 - 985*u^16 + 24*u^15)*v^6 - (2002*u^37 + 19383*u^36 + 74851*u^35 + 131780*u^34 + 31954*u^33 - 327148*u^32 - 747679*u^31 - 952474*u^30 - 946788*u^29 - 813022*u^28 - 504117*u^27 - 131358*u^26 + 66586*u^25 + 95025*u^24 + 95889*u^23 + 85824*u^22 + 47628*u^21 + 15551*u^20 + 4968*u^19 + 2420*u^18 + 786*u^17 + 99*u^16)*v^5 + (1001*u^36 + 10374*u^35 + 45788*u^34 + 109738*u^33 + 145362*u^32 + 74443*u^31 - 83290*u^30 - 216739*u^29 - 269739*u^28 - 260911*u^27 - 195509*u^26 - 90669*u^25 - 8666*u^24 + 19463*u^23 + 19266*u^22 + 14069*u^21 + 7650*u^20 + 2431*u^19 + 345*u^18 + 9*u^17)*v^4 - (364*u^35 + 3927*u^34 + 18647*u^33 + 51017*u^32 + 88312*u^31 + 99954*u^30 + 74106*u^29 + 35447*u^28 + 9644*u^27 - 2715*u^26 - 7361*u^25 - 4781*u^24 + 204*u^23 + 1572*u^22 + 328*u^21 - 331*u^20 - 180*u^19 - 26*u^18)*v^3 + (91*u^34 + 1002*u^33 + 4942*u^32 + 14390*u^31 + 27478*u^30 + 36288*u^29 + 34437*u^28 + 24726*u^27 + 14583*u^26 + 7378*u^25 + 2616*u^24 + 10*u^23 - 616*u^22 - 332*u^21 - 75*u^20 - 6*u^19)*v^2 - (14*u^33 + 155*u^32 + 776*u^31 + 2318*u^30 + 4590*u^29 + 6333*u^28 + 6240*u^27 + 4452*u^26 + 2346*u^25 + 965*u^24 + 344*u^23 + 110*u^22 + 26*u^21 + 3*u^20)*v + u^32 + 11*u^31 + 55*u^30 + 165*u^29 + 330*u^28 + 462*u^27 + 462*u^26 + 330*u^25 + 165*u^24 + 55*u^23 + 11*u^22 + u^21; q := (u+v+2)/(v-u); t := (u-v)*(u+v)*(u+v+2)/(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)];