swh:1:snp:e69952b3901aec538b122ef9c4d0ac0702cf4353
Tip revision: f69d0e06f67b9ac6f57e7d8e6ba3b3d69e650352 authored by Maarten Derickx on 02 November 2020, 22:43:35 UTC
Quickly lists all non cuspidal places up to diamond operators on X_1(N)
Quickly lists all non cuspidal places up to diamond operators on X_1(N)
Tip revision: f69d0e0
X1_4_28.txt
N := 7;
X := (u^30 - u^28 + u^26 - u^24 + u^22 - u^20 + u^18)*v^48 + (42*u^31 + 6*u^30 - 56*u^29 + 8*u^28 + 42*u^27 + 6*u^26 - 56*u^25 + 8*u^24 + 42*u^23 + 6*u^22 - 56*u^21 + 8*u^20 + 42*u^19 + 6*u^18)*v^47 + (u^42 - 2*u^41 + 4*u^40 - 6*u^39 + 10*u^38 - 14*u^37 + 20*u^36 - 26*u^35 + 35*u^34 - 44*u^33 + 917*u^32 + 142*u^31 - 1280*u^30 + 82*u^29 + 1196*u^28 - 110*u^27 - 1091*u^26 - 44*u^25 + 1259*u^24 - 110*u^23 - 1154*u^22 + 82*u^21 + 1070*u^20 + 142*u^19 + 71*u^18 - 44*u^17 + 35*u^16 - 26*u^15 + 20*u^14 - 14*u^13 + 10*u^12 - 6*u^11 + 4*u^10 - 2*u^9 + u^8)*v^46 + (30*u^43 - 46*u^42 + 64*u^41 - 44*u^40 + 44*u^39 + 16*u^38 - 80*u^37 + 220*u^36 - 326*u^35 + 506*u^34 + 10840*u^33 + 4268*u^32 - 21046*u^31 + 2038*u^30 + 18400*u^29 - 1604*u^28 - 17952*u^27 + 904*u^26 + 18232*u^25 - 540*u^24 - 19786*u^23 + 3634*u^22 + 14200*u^21 + 5452*u^20 - 956*u^19 + 1212*u^18 - 920*u^17 + 740*u^16 - 496*u^15 + 356*u^14 - 200*u^13 + 140*u^12 - 48*u^11 + 28*u^10 + 16*u^8)*v^45 + (435*u^44 - 480*u^43 + 241*u^42 + 708*u^41 - 1203*u^40 + 2352*u^39 - 3161*u^38 + 4572*u^37 - 4607*u^36 + 5268*u^35 + 107107*u^34 + 39840*u^33 - 211344*u^32 - 10832*u^31 + 247185*u^30 - 53708*u^29 - 180916*u^28 - 7640*u^27 + 231771*u^26 - 36740*u^25 - 198241*u^24 + 15712*u^23 + 188595*u^22 + 48268*u^21 + 7881*u^20 - 2460*u^19 + 4327*u^18 - 2832*u^17 + 3268*u^16 - 1728*u^15 + 1789*u^14 - 348*u^13 + 867*u^12 - 192*u^11 + 466*u^10 + 240*u^9 + 120*u^8)*v^44 + (4060*u^45 - 2900*u^44 - 3140*u^43 + 14344*u^42 - 15708*u^41 + 18336*u^40 - 15370*u^39 + 18110*u^38 - 9236*u^37 + 16768*u^36 + 820348*u^35 + 303676*u^34 - 1718988*u^33 - 165712*u^32 + 2138024*u^31 - 271692*u^30 - 1999288*u^29 + 402220*u^28 + 1647050*u^27 + 11838*u^26 - 2104228*u^25 + 437728*u^24 + 1460264*u^23 + 710052*u^22 - 139692*u^21 + 125088*u^20 - 58178*u^19 + 49906*u^18 - 15404*u^17 + 19576*u^16 - 906*u^15 + 14094*u^14 + 3180*u^13 + 4488*u^12 + 4972*u^11 + 5824*u^10 + 2240*u^9 + 560*u^8)*v^43 + (u^52 - 6*u^51 + 26*u^50 - 86*u^49 + 247*u^48 - 628*u^47 + 28873*u^46 - 13338*u^45 - 45081*u^44 + 109780*u^43 - 52448*u^42 - 23452*u^41 + 111855*u^40 - 116914*u^39 + 159739*u^38 - 12408*u^37 + 4969508*u^36 + 1796508*u^35 - 11049290*u^34 - 1904376*u^33 + 15451871*u^32 - 1695762*u^31 - 14887818*u^30 + 2690766*u^29 + 13495116*u^28 - 2569790*u^27 - 12511499*u^26 + 304008*u^25 + 13692605*u^24 + 3051954*u^23 + 659226*u^22 - 751030*u^21 + 969511*u^20 - 598764*u^19 + 629045*u^18 - 297498*u^17 + 334878*u^16 - 34182*u^15 + 164057*u^14 - 232*u^13 + 102223*u^12 + 58438*u^11 + 45305*u^10 + 7732*u^9 + 3288*u^8 - 628*u^7 + 247*u^6 - 86*u^5 + 26*u^4 - 6*u^3 + u^2)*v^42 + (20*u^53 - 104*u^52 + 396*u^51 - 1120*u^50 + 2760*u^49 - 5936*u^48 + 154306*u^47 - 32738*u^46 - 361640*u^45 + 593664*u^44 + 81980*u^43 - 775816*u^42 + 986388*u^41 - 257540*u^40 - 503580*u^39 + 2492480*u^38 + 21311124*u^37 + 11700464*u^36 - 61635496*u^35 - 10697184*u^34 + 86700860*u^33 - 2536452*u^32 - 97827188*u^31 + 21220532*u^30 + 81227448*u^29 - 16014208*u^28 - 80971232*u^27 + 10452944*u^26 + 74349564*u^25 + 32952428*u^24 - 12908740*u^23 + 7951900*u^22 - 4645472*u^21 + 6014092*u^20 - 3586932*u^19 + 4395248*u^18 - 2007324*u^17 + 3231116*u^16 - 736936*u^15 + 1542404*u^14 + 154944*u^13 + 1108720*u^12 + 241842*u^11 + 261862*u^10 - 15520*u^9 + 27848*u^8 - 10066*u^7 + 4002*u^6 - 1400*u^5 + 444*u^4 - 106*u^3 + 22*u^2)*v^41 + (190*u^54 - 840*u^53 + 2706*u^52 - 6032*u^51 + 11389*u^50 - 16896*u^49 + 615220*u^48 + 74292*u^47 - 2104662*u^46 + 2451132*u^45 + 2064895*u^44 - 5470536*u^43 + 3456848*u^42 + 3785408*u^41 - 9237051*u^40 + 17548508*u^39 + 86164070*u^38 + 37662428*u^37 - 257504099*u^36 - 82039368*u^35 + 443139381*u^34 - 16498832*u^33 - 486790542*u^32 + 71957720*u^31 + 476433086*u^30 - 138870408*u^29 - 391806898*u^28 + 34415600*u^27 + 424657466*u^26 + 139918992*u^25 - 45899133*u^24 - 15281624*u^23 + 38538220*u^22 - 23433968*u^21 + 32434822*u^20 - 17739232*u^19 + 25843845*u^18 - 7145136*u^17 + 17622828*u^16 - 3652812*u^15 + 12042822*u^14 + 2448204*u^13 + 6262393*u^12 + 270424*u^11 + 1181980*u^10 - 289296*u^9 + 184228*u^8 - 76100*u^7 + 31110*u^6 - 10788*u^5 + 3649*u^4 - 840*u^3 + 231*u^2)*v^40 + (1140*u^55 - 4180*u^54 + 10580*u^53 - 14368*u^52 + 8458*u^51 + 29978*u^50 + 1927372*u^49 + 917788*u^48 - 8921886*u^47 + 6921634*u^46 + 15376464*u^45 - 26742432*u^44 + 5025848*u^43 + 32835348*u^42 - 45660904*u^41 + 56282128*u^40 + 336644340*u^39 + 55552320*u^38 - 924172900*u^37 - 353823960*u^36 + 1755383690*u^35 + 124444798*u^34 - 2304775172*u^33 + 411227108*u^32 + 2052646216*u^31 - 476106640*u^30 - 2057715208*u^29 + 477278816*u^28 + 1711470340*u^27 + 832561196*u^26 - 510447940*u^25 + 63174324*u^24 + 47078044*u^23 + 74431124*u^22 - 37046712*u^21 + 109723684*u^20 - 35881278*u^19 + 117776082*u^18 - 18592528*u^17 + 77111672*u^16 + 8498376*u^15 + 65771244*u^14 + 12808968*u^13 + 22557392*u^12 - 1719410*u^11 + 4183894*u^10 - 1533828*u^9 + 841388*u^8 - 356858*u^7 + 154982*u^6 - 51432*u^5 + 19780*u^4 - 3780*u^3 + 1540*u^2)*v^39 + (4845*u^56 - 14250*u^55 + 23560*u^54 + 9850*u^53 - 117823*u^52 + 360208*u^51 + 5192699*u^50 + 3488250*u^49 - 28452606*u^48 + 11321794*u^47 + 72879323*u^46 - 93356040*u^45 - 31369025*u^44 + 172376862*u^43 - 149698133*u^42 + 100687060*u^41 + 1128877599*u^40 + 593282*u^39 - 3076473173*u^38 - 958625912*u^37 + 5785402078*u^36 + 975460436*u^35 - 8711531606*u^34 + 880829664*u^33 + 8949244945*u^32 - 2683402114*u^31 - 7605427782*u^30 + 1208084606*u^29 + 8137729232*u^28 + 1824566546*u^27 - 1272528669*u^26 - 1106799928*u^25 + 1392175566*u^24 - 495013868*u^23 + 491667346*u^22 - 94818240*u^21 + 415123559*u^20 + 56320070*u^19 + 375830694*u^18 + 30482926*u^17 + 353337985*u^16 + 148716732*u^15 + 235555763*u^14 + 35225582*u^13 + 58008155*u^12 - 10137852*u^11 + 11788088*u^10 - 5047420*u^9 + 2816234*u^8 - 1138536*u^7 + 566887*u^6 - 160398*u^5 + 82840*u^4 - 9310*u^3 + 7315*u^2)*v^38 + (15504*u^57 - 34884*u^56 + 14364*u^55 + 197296*u^54 - 610752*u^53 + 1181724*u^52 + 12922772*u^51 + 7636748*u^50 - 73298516*u^49 + 5073576*u^48 + 241620288*u^47 - 222327756*u^46 - 285496724*u^45 + 665289376*u^44 - 310550078*u^43 - 54050706*u^42 + 3178072792*u^41 - 181675172*u^40 - 9262769230*u^39 - 1878702690*u^38 + 17019141700*u^37 + 3371976400*u^36 - 27263838810*u^35 + 311591350*u^34 + 32086862228*u^33 - 8172415328*u^32 - 29962014060*u^31 + 8115368040*u^30 + 26157888968*u^29 + 8997969316*u^28 - 10872788370*u^27 + 128434518*u^26 + 999167084*u^25 + 2905338692*u^24 - 2425493528*u^23 + 2941148776*u^22 - 758100020*u^21 + 2133751756*u^20 + 159910254*u^19 + 1346458806*u^18 + 714615384*u^17 + 1448093568*u^16 + 631176422*u^15 + 572619518*u^14 + 56642588*u^13 + 115190972*u^12 - 28958362*u^11 + 27479978*u^10 - 11422612*u^9 + 7564244*u^8 - 2430556*u^7 + 1719972*u^6 - 276336*u^5 + 295944*u^4 - 2394*u^3 + 26334*u^2)*v^37 + (u^60 - 12*u^59 + 38849*u^58 - 62512*u^57 - 98486*u^56 + 766024*u^55 - 1568881*u^54 + 1798252*u^53 + 29800469*u^52 + 10541108*u^51 - 163807899*u^50 - 22042800*u^49 + 611251726*u^48 - 367834040*u^47 - 1158653677*u^46 + 1778267628*u^45 + 101921296*u^44 - 1442354924*u^43 + 7711831435*u^42 - 525140096*u^41 - 24056259360*u^40 - 3496844096*u^39 + 46359440443*u^38 + 6782399188*u^37 - 73132857434*u^36 - 4874047336*u^35 + 96884169763*u^34 - 18518514924*u^33 - 100335378243*u^32 + 26975080960*u^31 + 91053123167*u^30 + 14190358628*u^29 - 30504627265*u^28 - 13838649548*u^27 + 20073974808*u^26 - 4507927748*u^25 + 5337433615*u^24 - 3971429848*u^23 + 10070144546*u^22 - 2545154368*u^21 + 8238252468*u^20 - 213940200*u^19 + 6692600908*u^18 + 3365596312*u^17 + 4475068216*u^16 + 1276928136*u^15 + 1087371716*u^14 + 16785400*u^13 + 210055546*u^12 - 55998884*u^11 + 60402370*u^10 - 16555324*u^9 + 18892795*u^8 - 2298240*u^7 + 4995622*u^6 + 192376*u^5 + 941251*u^4 + 80900*u^3 + 74702*u^2 - 12*u + 1)*v^36 + (12*u^61 - 132*u^60 + 78430*u^59 - 82246*u^58 - 429132*u^57 + 1809944*u^56 - 2296330*u^55 - 261474*u^54 + 60187196*u^53 + 10625712*u^52 - 332460158*u^51 - 59543506*u^50 + 1273638864*u^49 - 439235028*u^48 - 3141912006*u^47 + 3393393498*u^46 + 2897006124*u^45 - 5595215504*u^44 + 13978302236*u^43 + 1907636136*u^42 - 56234288708*u^41 - 4136151528*u^40 + 110185355316*u^39 + 13704515592*u^38 - 182420736524*u^37 - 10325814912*u^36 + 241836521656*u^35 - 23654105320*u^34 - 294522015088*u^33 + 73683282748*u^32 + 276726672822*u^31 + 21108772270*u^30 - 119516266908*u^29 - 20546092536*u^28 + 38717232510*u^27 + 23899079090*u^26 - 27733569772*u^25 + 26890902868*u^24 - 6449117548*u^23 + 27597797724*u^22 - 5690218052*u^21 + 25715603108*u^20 + 3308511382*u^19 + 26112366146*u^18 + 7003192040*u^17 + 10612511248*u^16 + 523721022*u^15 + 2272402378*u^14 - 360980340*u^13 + 535091796*u^12 - 109174094*u^11 + 166747914*u^10 - 7539612*u^9 + 54142564*u^8 + 7059624*u^7 + 15234040*u^6 + 3147628*u^5 + 2664276*u^4 + 377674*u^3 + 172406*u^2 - 264*u + 24)*v^35 + (66*u^62 - 660*u^61 + 130156*u^60 - 78160*u^59 - 1023856*u^58 + 3016664*u^57 - 1177987*u^56 - 7606698*u^55 + 99504754*u^54 + 18028006*u^53 - 613600340*u^52 - 76627430*u^51 + 2320449339*u^50 - 420587268*u^49 - 6554120289*u^48 + 4932460766*u^47 + 10328049652*u^46 - 12322532942*u^45 + 15500589878*u^44 + 13270884562*u^43 - 110332926362*u^42 - 10155944254*u^41 + 240780903576*u^40 + 14871842166*u^39 - 396729782228*u^38 - 27225121798*u^37 + 562570310888*u^36 - 49207287510*u^35 - 693425556149*u^34 + 114151052412*u^33 + 785485148747*u^32 - 9921165954*u^31 - 374969715366*u^30 - 47813221906*u^29 + 150124694176*u^28 + 25296373554*u^27 - 27160059809*u^26 - 11388481692*u^25 + 76612593900*u^24 - 17217022156*u^23 + 69875688204*u^22 - 5774983860*u^21 + 81465940110*u^20 + 23190989180*u^19 + 66066213770*u^18 + 2861792840*u^17 + 21774787754*u^16 - 4832970976*u^15 + 6314495556*u^14 - 1975546752*u^13 + 1944730316*u^12 - 343894000*u^11 + 605738421*u^10 + 30739250*u^9 + 184898975*u^8 + 43092356*u^7 + 46715982*u^6 + 11794720*u^5 + 6662824*u^4 + 1010300*u^3 + 338306*u^2 - 2760*u + 276)*v^34 + (220*u^63 - 1980*u^62 + 179332*u^61 - 49132*u^60 - 1768354*u^59 + 3770894*u^58 + 2920660*u^57 - 18754620*u^56 + 127836338*u^55 + 52403786*u^54 - 987836996*u^53 - 87228708*u^52 + 3843850396*u^51 - 473369636*u^50 - 11362796216*u^49 + 5864917560*u^48 + 23548105146*u^47 - 18973355718*u^46 + 2562788052*u^45 + 33392339284*u^44 - 167385012768*u^43 - 43295206408*u^42 + 466616121580*u^41 + 16047256748*u^40 - 795072932852*u^39 - 24223802420*u^38 + 1134307877500*u^37 - 59048574580*u^36 - 1521141166710*u^35 + 242021590274*u^34 + 1755294731608*u^33 + 71343547848*u^32 - 1223368422174*u^31 + 45185010650*u^30 + 383997402980*u^29 + 98991865188*u^28 - 163960870912*u^27 + 43419856976*u^26 + 79764411300*u^25 + 108256569604*u^24 - 12046206924*u^23 + 168947696060*u^22 + 42899283548*u^21 + 221565659116*u^20 + 47878422362*u^19 + 113879817050*u^18 - 20470434296*u^17 + 43068727832*u^16 - 17814737658*u^15 + 17800992662*u^14 - 6340147268*u^13 + 6620658044*u^12 - 1142576928*u^11 + 2153152248*u^10 + 98845044*u^9 + 618232564*u^8 + 123463468*u^7 + 130870972*u^6 + 26949092*u^5 + 14870900*u^4 + 1739646*u^3 + 614262*u^2 - 18216*u + 2024)*v^33 + (495*u^64 - 3960*u^63 + 204809*u^62 - 8312*u^61 - 2416877*u^60 + 3690408*u^59 + 8985803*u^58 - 27362376*u^57 + 122163254*u^56 + 112607072*u^55 - 1316242229*u^54 - 195601072*u^53 + 5766030621*u^52 - 686795424*u^51 - 17367754497*u^50 + 6547872480*u^49 + 41291944967*u^48 - 22349927296*u^47 - 31122392108*u^46 + 51935623792*u^45 - 189947794166*u^44 - 106518982200*u^43 + 739485154858*u^42 + 83413004104*u^41 - 1467868736963*u^40 + 22652300456*u^39 + 2088796592494*u^38 - 129846206552*u^37 - 2868342937488*u^36 + 350450942464*u^35 + 3677343498350*u^34 + 24605496464*u^33 - 2765509770477*u^32 - 202097578328*u^31 + 1557068066080*u^30 - 229826857304*u^29 - 191958425552*u^28 - 133269278024*u^27 + 385711650094*u^26 + 46004146792*u^25 + 163071866985*u^24 + 115899456144*u^23 + 413967374078*u^22 + 220635114592*u^21 + 406515942118*u^20 + 15471832736*u^19 + 157605911026*u^18 - 59701980640*u^17 + 82389233253*u^16 - 37233821488*u^15 + 42559312514*u^14 - 13778550944*u^13 + 18152765124*u^12 - 2661809960*u^11 + 6337879932*u^10 + 197255448*u^9 + 1742995013*u^8 + 226014440*u^7 + 316242984*u^6 + 38138536*u^5 + 30388126*u^4 + 1352960*u^3 + 1170400*u^2 - 85008*u + 10626)*v^32 + (792*u^65 - 5544*u^64 + 191478*u^63 + 30002*u^62 - 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3785408*u^41 - 9237051*u^40 - 17548508*u^39 + 86164070*u^38 - 37662428*u^37 - 257504099*u^36 + 82039368*u^35 + 443139381*u^34 + 16498832*u^33 - 486790542*u^32 - 71957720*u^31 + 476433086*u^30 + 138870408*u^29 - 391806898*u^28 - 34415600*u^27 + 424657466*u^26 - 139918992*u^25 - 45899133*u^24 + 15281624*u^23 + 38538220*u^22 + 23433968*u^21 + 32434822*u^20 + 17739232*u^19 + 25843845*u^18 + 7145136*u^17 + 17622828*u^16 + 3652812*u^15 + 12042822*u^14 - 2448204*u^13 + 6262393*u^12 - 270424*u^11 + 1181980*u^10 + 289296*u^9 + 184228*u^8 + 76100*u^7 + 31110*u^6 + 10788*u^5 + 3649*u^4 + 840*u^3 + 231*u^2)*v^8 - (20*u^53 + 104*u^52 + 396*u^51 + 1120*u^50 + 2760*u^49 + 5936*u^48 + 154306*u^47 + 32738*u^46 - 361640*u^45 - 593664*u^44 + 81980*u^43 + 775816*u^42 + 986388*u^41 + 257540*u^40 - 503580*u^39 - 2492480*u^38 + 21311124*u^37 - 11700464*u^36 - 61635496*u^35 + 10697184*u^34 + 86700860*u^33 + 2536452*u^32 - 97827188*u^31 - 21220532*u^30 + 81227448*u^29 + 16014208*u^28 - 80971232*u^27 - 10452944*u^26 + 74349564*u^25 - 32952428*u^24 - 12908740*u^23 - 7951900*u^22 - 4645472*u^21 - 6014092*u^20 - 3586932*u^19 - 4395248*u^18 - 2007324*u^17 - 3231116*u^16 - 736936*u^15 - 1542404*u^14 + 154944*u^13 - 1108720*u^12 + 241842*u^11 - 261862*u^10 - 15520*u^9 - 27848*u^8 - 10066*u^7 - 4002*u^6 - 1400*u^5 - 444*u^4 - 106*u^3 - 22*u^2)*v^7 + (u^52 + 6*u^51 + 26*u^50 + 86*u^49 + 247*u^48 + 628*u^47 + 28873*u^46 + 13338*u^45 - 45081*u^44 - 109780*u^43 - 52448*u^42 + 23452*u^41 + 111855*u^40 + 116914*u^39 + 159739*u^38 + 12408*u^37 + 4969508*u^36 - 1796508*u^35 - 11049290*u^34 + 1904376*u^33 + 15451871*u^32 + 1695762*u^31 - 14887818*u^30 - 2690766*u^29 + 13495116*u^28 + 2569790*u^27 - 12511499*u^26 - 304008*u^25 + 13692605*u^24 - 3051954*u^23 + 659226*u^22 + 751030*u^21 + 969511*u^20 + 598764*u^19 + 629045*u^18 + 297498*u^17 + 334878*u^16 + 34182*u^15 + 164057*u^14 + 232*u^13 + 102223*u^12 - 58438*u^11 + 45305*u^10 - 7732*u^9 + 3288*u^8 + 628*u^7 + 247*u^6 + 86*u^5 + 26*u^4 + 6*u^3 + u^2)*v^6 - (4060*u^45 + 2900*u^44 - 3140*u^43 - 14344*u^42 - 15708*u^41 - 18336*u^40 - 15370*u^39 - 18110*u^38 - 9236*u^37 - 16768*u^36 + 820348*u^35 - 303676*u^34 - 1718988*u^33 + 165712*u^32 + 2138024*u^31 + 271692*u^30 - 1999288*u^29 - 402220*u^28 + 1647050*u^27 - 11838*u^26 - 2104228*u^25 - 437728*u^24 + 1460264*u^23 - 710052*u^22 - 139692*u^21 - 125088*u^20 - 58178*u^19 - 49906*u^18 - 15404*u^17 - 19576*u^16 - 906*u^15 - 14094*u^14 + 3180*u^13 - 4488*u^12 + 4972*u^11 - 5824*u^10 + 2240*u^9 - 560*u^8)*v^5 + (435*u^44 + 480*u^43 + 241*u^42 - 708*u^41 - 1203*u^40 - 2352*u^39 - 3161*u^38 - 4572*u^37 - 4607*u^36 - 5268*u^35 + 107107*u^34 - 39840*u^33 - 211344*u^32 + 10832*u^31 + 247185*u^30 + 53708*u^29 - 180916*u^28 + 7640*u^27 + 231771*u^26 + 36740*u^25 - 198241*u^24 - 15712*u^23 + 188595*u^22 - 48268*u^21 + 7881*u^20 + 2460*u^19 + 4327*u^18 + 2832*u^17 + 3268*u^16 + 1728*u^15 + 1789*u^14 + 348*u^13 + 867*u^12 + 192*u^11 + 466*u^10 - 240*u^9 + 120*u^8)*v^4 - (30*u^43 + 46*u^42 + 64*u^41 + 44*u^40 + 44*u^39 - 16*u^38 - 80*u^37 - 220*u^36 - 326*u^35 - 506*u^34 + 10840*u^33 - 4268*u^32 - 21046*u^31 - 2038*u^30 + 18400*u^29 + 1604*u^28 - 17952*u^27 - 904*u^26 + 18232*u^25 + 540*u^24 - 19786*u^23 - 3634*u^22 + 14200*u^21 - 5452*u^20 - 956*u^19 - 1212*u^18 - 920*u^17 - 740*u^16 - 496*u^15 - 356*u^14 - 200*u^13 - 140*u^12 - 48*u^11 - 28*u^10 - 16*u^8)*v^3 + (u^42 + 2*u^41 + 4*u^40 + 6*u^39 + 10*u^38 + 14*u^37 + 20*u^36 + 26*u^35 + 35*u^34 + 44*u^33 + 917*u^32 - 142*u^31 - 1280*u^30 - 82*u^29 + 1196*u^28 + 110*u^27 - 1091*u^26 + 44*u^25 + 1259*u^24 + 110*u^23 - 1154*u^22 - 82*u^21 + 1070*u^20 - 142*u^19 + 71*u^18 + 44*u^17 + 35*u^16 + 26*u^15 + 20*u^14 + 14*u^13 + 10*u^12 + 6*u^11 + 4*u^10 + 2*u^9 + u^8)*v^2 - (42*u^31 - 6*u^30 - 56*u^29 - 8*u^28 + 42*u^27 - 6*u^26 - 56*u^25 - 8*u^24 + 42*u^23 - 6*u^22 - 56*u^21 - 8*u^20 + 42*u^19 - 6*u^18)*v + u^30 - u^28 + u^26 - u^24 + u^22 - u^20 + u^18;
Xi := u^36*v^12 + 6*u^35*v^13 + 8*i*u^35*v^12 - 6*u^35*v^11 + 15*u^34*v^14 + (48*i - 6)*u^34*v^13 - 38*u^34*v^12 + (-48*i - 6)*u^34*v^11 + 15*u^34*v^10 + 20*u^33*v^15 + (134*i - 30)*u^33*v^14 + (8*i - 96)*u^33*v^13 - 276*i*u^33*v^12 + (8*i + 96)*u^33*v^11 + (134*i + 30)*u^33*v^10 - 20*u^33*v^9 + 15*u^32*v^16 + (230*i - 60)*u^32*v^15 + (40*i - 119)*u^32*v^14 + (-754*i + 40)*u^32*v^13 + 74*u^32*v^12 + (754*i + 40)*u^32*v^11 + (-40*i - 119)*u^32*v^10 + (-230*i - 60)*u^32*v^9 + 15*u^32*v^8 + 6*u^31*v^17 + (267*i - 60)*u^31*v^16 + (66*i - 80)*u^31*v^15 + (-1330*i - 40)*u^31*v^14 + (-58*i - 674)*u^31*v^13+ 2006*i*u^31*v^12 + (-58*i + 674)*u^31*v^11 + (-1330*i + 40)*u^31*v^10 + (66*i + 80)*u^31*v^9 + (267*i + 60)*u^31*v^8 - 6*u^31*v^7 + u^30*v^18 + (216*i - 30)*u^30*v^17 + (24*i - 63)*u^30*v^16 + (-1634*i- 356)*u^30*v^15 + (184*i - 2219)*u^30*v^14 + (3470*i + 310)*u^30*v^13 + 4910*u^30*v^12 + (-3470*i + 310)*u^30*v^11 + (-184*i - 2219)*u^30*v^10 + (1634*i - 356)*u^30*v^9 + (-24*i - 63)*u^30*v^8 + (-216*i- 30)*u^30*v^7 + u^30*v^6 + (121*i - 6)*u^29*v^18 + (-60*i - 96)*u^29*v^17 + (-1365*i - 540)*u^29*v^16 + (1030*i - 3396)*u^29*v^15 + (3625*i + 446)*u^29*v^14 + (-1778*i + 12364)*u^29*v^13 - 5394*i*u^29*v^12 + (-1778*i - 12364)*u^29*v^11 + (3625*i - 446)*u^29*v^10 + (1030*i + 3396)*u^29*v^9 + (-1365*i + 540)*u^29*v^8 + (-60*i + 96)*u^29*v^7 + (121*i + 6)*u^29*v^6 + 45*i*u^28*v^19 + (-96*i - 94)*u^28*v^18 + (-711*i - 300)*u^28*v^17 + (1752*i - 3582)*u^28*v^16 + (1023*i - 1600)*u^28*v^15 + (-6808*i + 18530)*u^28*v^14 + (-1109*i + 2324)*u^28*v^13 - 30285*u^28*v^12 + (1109*i + 2324)*u^28*v^11 +(6808*i + 18530)*u^28*v^10 + (-1023*i - 1600)*u^28*v^9 + (-1752*i - 3582)*u^28*v^8 + (711*i - 300)*u^28*v^7 + (96*i - 94)*u^28*v^6 - 45*i*u^28*v^5 + 10*i*u^27*v^20 + (-65*i - 45)*u^27*v^19 + (-159*i + 4)*u^27*v^18 + (1565*i - 3291)*u^27*v^17 + (-2659*i - 4824)*u^27*v^16 + (-11019*i + 22087)*u^27*v^15 + (14529*i + 13108)*u^27*v^14 + (8775*i - 51097)*u^27*v^13 - 27666*i*u^27*v^12 + (8775*i + 51097)*u^27*v^11 + (14529*i - 13108)*u^27*v^10 + (-11019*i - 22087)*u^27*v^9 + (-2659*i + 4824)*u^27*v^8 + (1565*i + 3291)*u^27*v^7 + (-159*i - 4)*u^27*v^6 + (-65*i + 45)*u^27*v^5 + 10*i*u^27*v^4 + i*u^26*v^21 + (-22*i - 10)*u^26*v^20 + (52*i + 65)*u^26*v^19 + (756*i - 2571)*u^26*v^18 + (-4451*i - 5135)*u^26*v^17 + (-10540*i + 23803)*u^26*v^16 + (31723*i + 23973)*u^26*v^15 + (13452*i - 77928)*u^26*v^14 + (-100599*i - 20577)*u^26*v^13 + 112632*u^26*v^12 + (100599*i - 20577)*u^26*v^11 + (-13452*i - 77928)*u^26*v^10 + (-31723*i + 23973)*u^26*v^9 + (10540*i + 23803)*u^26*v^8 + (4451*i - 5135)*u^26*v^7 + (-756*i - 2571)*u^26*v^6 + (-52*i + 65)*u^26*v^5 + (22*i - 10)*u^26*v^4 - i*u^26*v^3 + (-3*i - 1)*u^25*v^21 + (43*i + 22)*u^25*v^20 + (112*i - 1417)*u^25*v^19 + (-3567*i - 2562)*u^25*v^18 + (-6043*i + 20054)*u^25*v^17 + (37547*i + 18796)*u^25*v^16 + (8037*i - 103462)*u^25*v^15 + (-182269*i - 35628)*u^25*v^14 + (89*i + 224184)*u^25*v^13 + 305244*i*u^25*v^12 + (89*i - 224184)*u^25*v^11 + (-182269*i + 35628)*u^25*v^10 + (8037*i + 103462)*u^25*v^9 + (37547*i - 18796)*u^25*v^8 + (-6043*i - 20054)*u^25*v^7 + (-3567*i + 2562)*u^25*v^6 + (112*i + 1417)*u^25*v^5 + (43*i - 22)*u^25*v^4 + (-3*i + 1)*u^25*v^3 + (8*i + 3)*u^24*v^21 + (-50*i - 498)*u^24*v^20 + (-1575*i - 567)*u^24*v^19 + (-1516*i + 11106)*u^24*v^18 + (28573*i + 4182)*u^24*v^17 + (-6100*i - 97053)*u^24*v^16 + (-223731*i - 5418)*u^24*v^15 + (8516*i + 346455)*u^24*v^14 + (548625*i + 3180)*u^24*v^13 - 520368*u^24*v^12 + (-548625*i + 3180)*u^24*v^11 + (-8516*i + 346455)*u^24*v^10 + (223731*i - 5418)*u^24*v^9 + (6100*i - 97053)*u^24*v^8 + (-28573*i + 4182)*u^24*v^7 + (1516*i + 11106)*u^24*v^6 + (1575*i - 567)*u^24*v^5 + (50*i - 498)*u^24*v^4 + (-8*i + 3)*u^24*v^3 + (-16*i - 113)*u^23*v^21 + (-386*i - 20)*u^23*v^20 + (-145*i + 3850)*u^23*v^19 + (12861*i - 2664)*u^23*v^18 + (-16371*i - 57705)*u^23*v^17 + (-192372*i + 37428)*u^23*v^16 + (36819*i + 356175)*u^23*v^15 + (710255*i - 89200)*u^23*v^14 + (-623*i - 869413)*u^23*v^13 - 1025756*i*u^23*v^12 + (-623*i + 869413)*u^23*v^11 + (710255*i + 89200)*u^23*v^10 + (36819*i - 356175)*u^23*v^9 + (-192372*i - 37428)*u^23*v^8 + (-16371*i + 57705)*u^23*v^7 +(12861*i + 2664)*u^23*v^6 + (-145*i - 3850)*u^23*v^5 + (-386*i + 20)*u^23*v^4 + (-16*i + 113)*u^23*v^3 - 15*u^22*v^22 + (-74*i + 31)*u^22*v^21 + (-142*i + 901)*u^22*v^20 + (3767*i - 2070)*u^22*v^19 + (-10044*i - 22038)*u^22*v^18 + (-110583*i + 40723)*u^22*v^17 + (54636*i + 238630)*u^22*v^16 + (650361*i - 177315)*u^22*v^15 + (-71516*i - 947479)*u^22*v^14 + (-1435967*i + 172767)*u^22*v^13 + 1530842*u^22*v^12 + (1435967*i + 172767)*u^22*v^11 + (71516*i - 947479)*u^22*v^10 + (-650361*i - 177315)*u^22*v^9 + (-54636*i + 238630)*u^22*v^8 + (110583*i + 40723)*u^22*v^7 + (10044*i - 22038)*u^22*v^6+ (-3767*i - 2070)*u^22*v^5 + (142*i + 901)*u^22*v^4 + (74*i + 31)*u^22*v^3 - 15*u^22*v^2 - u^21*v^23 + (-15*i + 8)*u^21*v^22 + (-38*i + 112)*u^21*v^21 + (1098*i - 846)*u^21*v^20 + (-2987*i - 6044)*u^21*v^19 + (-51871*i + 20382)*u^21*v^18 + (17941*i + 114497)*u^21*v^17 + (407698*i - 143696)*u^21*v^16 + (-120877*i - 697862)*u^21*v^15 + (-1408622*i + 308462)*u^21*v^14 + (167193*i + 1735564)*u^21*v^13 + 2228624*i*u^21*v^12 + (167193*i - 1735564)*u^21*v^11 + (-1408622*i - 308462)*u^21*v^10 + (-120877*i + 697862)*u^21*v^9 + (407698*i + 143696)*u^21*v^8 + (17941*i - 114497)*u^21*v^7 + (-51871*i - 20382)*u^21*v^6 + (-2987*i + 6044)*u^21*v^5 + (1098*i + 846)*u^21*v^4 + (-38*i - 112)*u^21*v^3 + (-15*i - 8)*u^21*v^2 + u^21*v + (-i + 1)*u^20*v^23 + (8*i + 5)*u^20*v^22 + (231*i - 156)*u^20*v^21 + (-1158*i - 805)*u^20*v^20 + (-21695*i + 7260)*u^20*v^19 + (-804*i + 47636)*u^20*v^18 + (227393*i - 57211)*u^20*v^17 + (-16868*i - 393619)*u^20*v^16 + (-971562*i + 209330)*u^20*v^15 + (247444*i + 1376347)*u^20*v^14 + (2357342*i - 95048)*u^20*v^13 - 1932201*u^20*v^12 + (-2357342*i - 95048)*u^20*v^11 + (-247444*i + 1376347)*u^20*v^10 + (971562*i + 209330)*u^20*v^9 + (16868*i - 393619)*u^20*v^8 + (-227393*i - 57211)*u^20*v^7 + (804*i + 47636)*u^20*v^6 + (21695*i + 7260)*u^20*v^5 + (1158*i - 805)*u^20*v^4 + (-231*i - 156)*u^20*v^3 + (-8*i + 5)*u^20*v^2 + (i + 1)*u^20*v + (i - 1)*u^19*v^23 + (5*i - 16)*u^19*v^22 + (-345*i - 66)*u^19*v^21 + (-6058*i + 1100)*u^19*v^20 + (603*i + 15178)*u^19*v^19 + (107909*i - 15588)*u^19*v^18 + (4181*i - 207809)*u^19*v^17 + (-656482*i + 27224)*u^19*v^16 + (-7882*i + 878736)*u^19*v^15 + (1808154*i + 101692)*u^19*v^14 + (10530*i - 1483962)*u^19*v^13 - 2493864*i*u^19*v^12 + (10530*i + 1483962)*u^19*v^11 + (1808154*i - 101692)*u^19*v^10 + (-7882*i - 878736)*u^19*v^9 + (-656482*i - 27224)*u^19*v^8 + (4181*i + 207809)*u^19*v^7 + (107909*i + 15588)*u^19*v^6 + (603*i - 15178)*u^19*v^5 + (-6058*i - 1100)*u^19*v^4 + (-345*i + 66)*u^19*v^3 + (5*i + 16)*u^19*v^2 + (i + 1)*u^19*v + (-i + 1)*u^18*v^23 + (-16*i + 5)*u^18*v^22 + (-1102*i + 114)*u^18*v^21 + (-472*i + 5135)*u^18*v^20 + (34186*i + 1970)*u^18*v^19 + (-7144*i - 86034)*u^18*v^18 + (-354023*i - 14021)*u^18*v^17 + (-2464*i + 569644)*u^18*v^16 + (1435286*i + 364908)*u^18*v^15 + (458648*i - 902858)*u^18*v^14 + (-1910380*i - 210694)*u^18*v^13 + 1113272*u^18*v^12 + (1910380*i - 210694)*u^18*v^11 + (-458648*i - 902858)*u^18*v^10 + (-1435286*i + 364908)*u^18*v^9 + (2464*i + 569644)*u^18*v^8 + (354023*i - 14021)*u^18*v^7 + (7144*i - 86034)*u^18*v^6 + (-34186*i + 1970)*u^18*v^5 + (472*i + 5135)*u^18*v^4 + (1102*i + 114)*u^18*v^3 + (16*i + 5)*u^18*v^2 + (i + 1)*u^18*v + (i - 2)*u^17*v^23 + (-205*i - 14)*u^17*v^22 + (-530*i + 1176)*u^17*v^21 + (9017*i + 964)*u^17*v^20 + (1778*i - 36268)*u^17*v^19 + (-132687*i - 28188)*u^17*v^18 + (18289*i + 281042)*u^17*v^17 + (833410*i + 256480)*u^17*v^16 + (261426*i - 697912)*u^17*v^15 + (-1711766*i - 561272)*u^17*v^14 + (-522076*i + 676660)*u^17*v^13 + 1522374*i*u^17*v^12 + (-522076*i - 676660)*u^17*v^11 + (-1711766*i + 561272)*u^17*v^10 + (261426*i + 697912)*u^17*v^9 + (833410*i - 256480)*u^17*v^8 + (18289*i - 281042)*u^17*v^7 + (-132687*i + 28188)*u^17*v^6 + (1778*i + 36268)*u^17*v^5 + (9017*i - 964)*u^17*v^4 + (-530*i - 1176)*u^17*v^3 + (-205*i + 14)*u^17*v^2 + (i + 2)*u^17*v + (-23*i + 2)*u^16*v^23 + (-56*i + 232)*u^16*v^22 +(2289*i + 452)*u^16*v^21 + (1492*i - 9974)*u^16*v^20 + (-46831*i - 5216)*u^16*v^19 + (-10368*i + 141693)*u^16*v^18 + (355217*i + 176810)*u^16*v^17 + (135592*i - 333493)*u^16*v^16 + (-964306*i - 244344)*u^16*v^15 + (-106688*i + 853334)*u^16*v^14 + (1703278*i + 527836)*u^16*v^13 - 392598*u^16*v^12 + (-1703278*i + 527836)*u^16*v^11 + (106688*i + 853334)*u^16*v^10 + (964306*i - 244344)*u^16*v^9 + (-135592*i - 333493)*u^16*v^8 + (-355217*i + 176810)*u^16*v^7 + (10368*i + 141693)*u^16*v^6 + (46831*i - 5216)*u^16*v^5 + (-1492*i - 9974)*u^16*v^4 + (-2289*i + 452)*u^16*v^3 + (56*i + 232)*u^16*v^2 + (23*i + 2)*u^16*v - i*u^15*v^24 + (-i + 19)*u^15*v^23 + (319*i + 16)*u^15*v^22 + (-143*i - 2459)*u^15*v^21 + (-13802*i - 1640)*u^15*v^20 + (-2609*i + 43533)*u^15*v^19 + (150081*i + 43792)*u^15*v^18 + (110009*i - 207407)*u^15*v^17 + (-400828*i - 175252)*u^15*v^16 + (-16630*i + 431176)*u^15*v^15 + (960134*i + 23432)*u^15*v^14 + (-491354*i - 944218)*u^15*v^13 - 2193238*i*u^15*v^12 + (-491354*i + 944218)*u^15*v^11 + (960134*i - 23432)*u^15*v^10 + (-16630*i - 431176)*u^15*v^9 + (-400828*i + 175252)*u^15*v^8 + (110009*i + 207407)*u^15*v^7 + (150081*i - 43792)*u^15*v^6 + (-2609*i - 43533)*u^15*v^5 +(-13802*i + 1640)*u^15*v^4 + (-143*i + 2459)*u^15*v^3 + (319*i - 16)*u^15*v^2 + (-i - 19)*u^15*v - i*u^15 + u^14*v^24 + (25*i + 5)*u^14*v^23 + (-32*i - 296)*u^14*v^22 + (-2379*i + 361)*u^14*v^21 + (1708*i + 12630)*u^14*v^20 + (48885*i + 15631)*u^14*v^19 + (32712*i - 49333)*u^14*v^18 + (-192767*i + 30445)*u^14*v^17 + (-67168*i + 364420)*u^14*v^16 + (403662*i + 116412)*u^14*v^15 + (-409504*i - 378461)*u^14*v^14 + (-1446130*i + 721358)*u^14*v^13 + 1870506*u^14*v^12 + (1446130*i + 721358)*u^14*v^11 + (409504*i - 378461)*u^14*v^10 + (-403662*i + 116412)*u^14*v^9 + (67168*i + 364420)*u^14*v^8 + (192767*i + 30445)*u^14*v^7 + (-32712*i - 49333)*u^14*v^6 + (-48885*i + 15631)*u^14*v^5 + (-1708*i + 12630)*u^14*v^4 + (2379*i + 361)*u^14*v^3 + (32*i - 296)*u^14*v^2 + (-25*i + 5)*u^14*v + u^14 + i*u^13*v^24 + (-i - 30)*u^13*v^23 + (-299*i + 12)*u^13*v^22 + (349*i + 1740)*u^13*v^21 + (9966*i + 684)*u^13*v^20 + (3523*i - 17204)*u^13*v^19 + (-61930*i + 4986)*u^13*v^18 + (11869*i + 72782)*u^13*v^17 + (240526*i - 161612)*u^13*v^16 + (-151938*i - 439992)*u^13*v^15 + (-784241*i + 326962)*u^13*v^14 + (-41602*i + 1104172)*u^13*v^13 + 836346*i*u^13*v^12 + (-41602*i - 1104172)*u^13*v^11 + (-784241*i - 326962)*u^13*v^10 + (-151938*i + 439992)*u^13*v^9 + (240526*i + 161612)*u^13*v^8 + (11869*i - 72782)*u^13*v^7 + (-61930*i - 4986)*u^13*v^6 + (3523*i + 17204)*u^13*v^5 + (9966*i - 684)*u^13*v^4 + (349*i -1740)*u^13*v^3 + (-299*i - 12)*u^13*v^2 + (-i + 30)*u^13*v + i*u^13 - u^12*v^24 + (-25*i + 6)*u^12*v^23 + (32*i + 279)*u^12*v^22 + (1639*i + 600)*u^12*v^21 + (1532*i - 13)*u^12*v^20 + (-8202*i + 12504)*u^12*v^19 + (21736*i + 37143)*u^12*v^18 + (72722*i - 19630)*u^12*v^17 + (-171968*i - 3979)*u^12*v^16 + (-567671*i + 567740)*u^12*v^15 + (-262064*i + 1115974)*u^12*v^14 + (313285*i + 483108)*u^12*v^13 - 210149*u^12*v^12 + (-313285*i + 483108)*u^12*v^11 + (262064*i + 1115974)*u^12*v^10 + (567671*i + 567740)*u^12*v^9 + (171968*i - 3979)*u^12*v^8 + (-72722*i - 19630)*u^12*v^7 + (-21736*i + 37143)*u^12*v^6 + (8202*i + 12504)*u^12*v^5 + (-1532*i - 13)*u^12*v^4 + (-1639*i + 600)*u^12*v^3 + (-32*i + 279)*u^12*v^2 + (25*i + 6)*u^12*v - u^12 - i*u^11*v^24 + (i + 19)*u^11*v^23 + (233*i + 16)*u^11*v^22 + (551*i - 309)*u^11*v^21 + (-876*i + 40)*u^11*v^20 + (2222*i - 2280)*u^11*v^19 + (-1870*i - 30180)*u^11*v^18 + (-98170*i - 35162)*u^11*v^17 + (-212062*i + 142040)*u^11*v^16 + (-2573*i + 291685)*u^11*v^15 + (363487*i - 67620)*u^11*v^14 + (285033*i - 428387)*u^11*v^13 + 76306*i*u^11*v^12 + (285033*i + 428387)*u^11*v^11 + (363487*i + 67620)*u^11*v^10 + (-2573*i - 291685)*u^11*v^9 + (-212062*i - 142040)*u^11*v^8 + (-98170*i + 35162)*u^11*v^7 + (-1870*i + 30180)*u^11*v^6 + (2222*i + 2280)*u^11*v^5 + (-876*i - 40)*u^11*v^4 + (551*i + 309)*u^11*v^3 + (233*i - 16)*u^11*v^2 + (i - 19)*u^11*v - i*u^11 + u^10*v^24 + (23*i + 5)*u^10*v^23 + (56*i + 25)*u^10*v^22 + (-354*i + 331)*u^10*v^21 + (-382*i + 1530)*u^10*v^20 + (-257*i + 2716)*u^10*v^19 + (-15156*i + 19060)*u^10*v^18 + (-36026*i + 104290)*u^10*v^17 + (-508*i + 231898)*u^10*v^16 + (28453*i + 247823)*u^10*v^15 + (-99252*i + 244878)*u^10*v^14 + (-194465*i + 478381)*u^10*v^13 + 672308*u^10*v^12 + (194465*i + 478381)*u^10*v^11 + (99252*i + 244878)*u^10*v^10 + (-28453*i + 247823)*u^10*v^9 + (508*i + 231898)*u^10*v^8 + (36026*i + 104290)*u^10*v^7 + (15156*i + 19060)*u^10*v^6 + (257*i + 2716)*u^10*v^5 + (382*i + 1530)*u^10*v^4 + (354*i + 331)*u^10*v^3 + (-56*i + 25)*u^10*v^2 + (-23*i + 5)*u^10*v + u^10 + i*u^9*v^24 + (i - 2)*u^9*v^23 + (-25*i - 14)*u^9*v^22 + (218*i - 59)*u^9*v^21 + (927*i - 986)*u^9*v^20 + (-3291*i - 2935)*u^9*v^19 + (-21108*i + 5904)*u^9*v^18 + (-44970*i + 33608)*u^9*v^17 + (-53754*i + 37564)*u^9*v^16 + (-14645*i - 8074)*u^9*v^15 + (132421*i - 29272)*u^9*v^14 + (366239*i - 3612)*u^9*v^13 + 490180*i*u^9*v^12 + (366239*i + 3612)*u^9*v^11 + (132421*i + 29272)*u^9*v^10 + (-14645*i + 8074)*u^9*v^9 + (-53754*i - 37564)*u^9*v^8 + (-44970*i - 33608)*u^9*v^7 + (-21108*i- 5904)*u^9*v^6 + (-3291*i + 2935)*u^9*v^5 + (927*i + 986)*u^9*v^4 + (218*i + 59)*u^9*v^3 + (-25*i + 14)*u^9*v^2 + (i + 2)*u^9*v + i*u^9 + (i + 2)*u^8*v^23 + (16*i + 28)*u^8*v^22 + (-103*i + 77)*u^8*v^21 + (-1698*i + 546)*u^8*v^20 + (-6372*i + 6939)*u^8*v^19 + (-8652*i + 30516)*u^8*v^18 + (6624*i + 64680)*u^8*v^17 + (46764*i + 83793)*u^8*v^16 + (87747*i + 105066)*u^8*v^15 + (89668*i + 182339)*u^8*v^14 + (50215*i + 297280)*u^8*v^13 + 353644*u^8*v^12 + (-50215*i + 297280)*u^8*v^11 + (-89668*i + 182339)*u^8*v^10 + (-87747*i + 105066)*u^8*v^9 + (-46764*i + 83793)*u^8*v^8 + (-6624*i + 64680)*u^8*v^7 + (8652*i + 30516)*u^8*v^6 + (6372*i + 6939)*u^8*v^5 + (1698*i + 546)*u^8*v^4 + (103*i + 77)*u^8*v^3 + (-16*i + 28)*u^8*v^2 + (-i + 2)*u^8*v + (-i - 1)*u^7*v^23 + (-5*i - 16)*u^7*v^22 + (-55*i - 86)*u^7*v^21 + (-202*i + 540)*u^7*v^20 + (-268*i + 3555)*u^7*v^19 + (-492*i + 4632)*u^7*v^18 + (-3440*i - 7608)*u^7*v^17 + (-10874*i - 24996)*u^7*v^16 + (-3507*i - 13923)*u^7*v^15 + (64657*i + 25808)*u^7*v^14 + (188775*i + 39293)*u^7*v^13 + 256840*i*u^7*v^12 + (188775*i - 39293)*u^7*v^11 + (64657*i - 25808)*u^7*v^10 + (-3507*i + 13923)*u^7*v^9 + (-10874*i + 24996)*u^7*v^8 + (-3440*i + 7608)*u^7*v^7 + (-492*i - 4632)*u^7*v^6 + (-268*i - 3555)*u^7*v^5 + (-202*i - 540)*u^7*v^4 + (-55*i + 86)*u^7*v^3 + (-5*i + 16)*u^7*v^2 + (-i + 1)*u^7*v + (i + 1)*u^6*v^23 + (-8*i + 5)*u^6*v^22 + (-137*i+ 174)*u^6*v^21 + (-670*i + 1055)*u^6*v^20 + (-1590*i + 2885)*u^6*v^19 + (-1220*i + 6128)*u^6*v^18 + (4796*i + 16204)*u^6*v^17 + (24412*i + 41092)*u^6*v^16 + (64607*i + 75095)*u^6*v^15 + (105268*i + 97515)*u^6*v^14 + (89975*i + 99625)*u^6*v^13 + 96378*u^6*v^12 + (-89975*i + 99625)*u^6*v^11 + (-105268*i + 97515)*u^6*v^10 + (-64607*i + 75095)*u^6*v^9 + (-24412*i + 41092)*u^6*v^8 + (-4796*i + 16204)*u^6*v^7 + (1220*i + 6128)*u^6*v^6 + (1590*i + 2885)*u^6*v^5 + (670*i + 1055)*u^6*v^4 + (137*i + 174)*u^6*v^3 + (8*i + 5)*u^6*v^2 + (-i + 1)*u^6*v + (-i - 1)*u^5*v^23 + (-8*i + 8)*u^5*v^22 + (3*i +68)*u^5*v^21 + (190*i + 162)*u^5*v^20 + (810*i + 112)*u^5*v^19 + (1686*i - 510)*u^5*v^18 + (2656*i - 2671)*u^5*v^17 + (6484*i - 6728)*u^5*v^16 + (16725*i - 9918)*u^5*v^15 + (28370*i - 8678)*u^5*v^14 + (32543*i - 4228)*u^5*v^13 + 32028*i*u^5*v^12 + (32543*i + 4228)*u^5*v^11 + (28370*i + 8678)*u^5*v^10 + (16725*i + 9918)*u^5*v^9 + (6484*i + 6728)*u^5*v^8 + (2656*i + 2671)*u^5*v^7 + (1686*i + 510)*u^5*v^6 + (810*i - 112)*u^5*v^5 + (190*i - 162)*u^5*v^4 + (3*i - 68)*u^5*v^3 + (-8*i - 8)*u^5*v^2 + (-i + 1)*u^5*v + u^4*v^23 + 8*u^4*v^22 + (-16*i + 36)*u^4*v^21 + (-118*i + 118)*u^4*v^20 + (-378*i+ 332)*u^4*v^19 + (-300*i + 1191)*u^4*v^18 + (2390*i + 4509)*u^4*v^17 + (10828*i + 12381)*u^4*v^16 + (23262*i + 22818)*u^4*v^15 + (29892*i + 29157)*u^4*v^14 + (21406*i + 28560)*u^4*v^13 + 26802*u^4*v^12 + (-21406*i + 28560)*u^4*v^11 + (-29892*i + 29157)*u^4*v^10 + (-23262*i + 22818)*u^4*v^9 + (-10828*i + 12381)*u^4*v^8 + (-2390*i + 4509)*u^4*v^7 + (300*i + 1191)*u^4*v^6 + (378*i + 332)*u^4*v^5 + (118*i + 118)*u^4*v^4 + (16*i + 36)*u^4*v^3 + 8*u^4*v^2 + u^4*v + (8*i - 3)*u^3*v^21 + (62*i - 20)*u^3*v^20 + (262*i - 35)*u^3*v^19 + (862*i + 4)*u^3*v^18 + (2226*i - 180)*u^3*v^17 + (4068*i - 1560)*u^3*v^16 + (4726*i - 4600)*u^3*v^15 + (2626*i - 7180)*u^3*v^14 + (-1078*i - 5764)*u^3*v^13 - 2948*i*u^3*v^12 + (-1078*i + 5764)*u^3*v^11 + (2626*i + 7180)*u^3*v^10 + (4726*i + 4600)*u^3*v^9 + (4068*i + 1560)*u^3*v^8 + (2226*i + 180)*u^3*v^7 + (862*i - 4)*u^3*v^6 + (262*i + 35)*u^3*v^5 + (62*i + 20)*u^3*v^4 + (8*i + 3)*u^3*v^3 + (-3*i + 1)*u^2*v^21 + (-20*i + 11)*u^2*v^20 + (-35*i + 55)*u^2*v^19 + (96*i+ 191)*u^2*v^18 + (630*i + 576)*u^2*v^17 + (1608*i + 1518)*u^2*v^16 + (2550*i + 3212)*u^2*v^15 + (2720*i + 5281)*u^2*v^14 + (1760*i + 6908)*u^2*v^13 + 7502*u^2*v^12 + (-1760*i + 6908)*u^2*v^11 + (-2720*i+ 5281)*u^2*v^10 + (-2550*i + 3212)*u^2*v^9 + (-1608*i + 1518)*u^2*v^8 + (-630*i + 576)*u^2*v^7 + (-96*i + 191)*u^2*v^6 + (35*i + 55)*u^2*v^5 + (20*i + 11)*u^2*v^4 + (3*i + 1)*u^2*v^3 + i*u*v^21 + 11*i*u*v^20 + 55*i*u*v^19 + (164*i - 6)*u*v^18 + (318*i - 60)*u*v^17 + (396*i - 264)*u*v^16 + (242*i - 660)*u*v^15 + (-164*i - 990)*u*v^14 + (-616*i - 792)*u*v^13 - 814*i*u*v^12 + (-616*i + 792)*u*v^11 +(-164*i + 990)*u*v^10 + (242*i + 660)*u*v^9 + (396*i + 264)*u*v^8 + (318*i + 60)*u*v^7 + (164*i + 6)*u*v^6 + 55*i*u*v^5 + 11*i*u*v^4 + i*u*v^3 + v^18 + 12*v^17 + 66*v^16 + 220*v^15 + 495*v^14 + 792*v^13 + 924*v^12 + 792*v^11 + 495*v^10 + 220*v^9 + 66*v^8 + 12*v^7 + v^6;
q := (u*v - u - v - 1)/(u*v + u - v - 1);
t := (-u*v + u + v + 1)/(u*v + u + v + 1);
E := [1,(q^2-1)*(t^2-1)/16,(q^2-1)*(t^2-1)/16,0,0];
P := [(q+1)*(t^2-1)/8,(q+1)^2*(t-1)^2*(t+1)/32];
Q := [0,0];