m := 4;
n := 8;
g := 81;
F<i>:=CyclotomicField(4);
R<u,v>:=PolynomialRing(F,2);
X := ((i - 1)*u^20 + (-i - 1)*u^12)*v^32 + ((i + 1)*u^27 + (-i - 1)*u^26 + (2*i + 2)*u^25 + (-2*i - 2)*u^24 + (3*i + 3)*u^23 + (-3*i - 3)*u^22 + (32*i - 24)*u^21 - 8*u^20 + (-2*i + 12)*u^19 + (2*i - 12)*u^18 + 12*u^17 - 12*u^16 + (2*i + 12)*u^15 + (-2*i - 12)*u^14 + (-32*i - 24)*u^13 - 8*u^12 + (-3*i + 3)*u^11 + (3*i - 3)*u^10 + (-2*i + 2)*u^9 + (2*i - 2)*u^8 + (-i + 1)*u^7 + (i - 1)*u^6)*v^31 + ((21*i + 21)*u^28 + (-12*i - 12)*u^27 + (17*i + 17)*u^26 + (6*i + 6)*u^25 + (-8*i - 8)*u^24 + (36*i + 36)*u^23 + (342*i - 414)*u^22 + (144*i - 24)*u^21 + (-190*i + 92)*u^20 + (144*i - 24)*u^19 + (-40*i - 18)*u^18 + 36*u^17 + (102*i - 18)*u^16 + (-144*i - 24)*u^15 + (-368*i - 528)*u^14 + (-144*i - 24)*u^13 + (61*i - 73)*u^12 + (-36*i + 36)*u^11 + (39*i - 39)*u^10 + (-6*i + 6)*u^9 + (14*i - 14)*u^8 + (12*i - 12)*u^7 + (10*i - 10)*u^6)*v^30 + ((-i + 1)*u^33 + (3*i - 3)*u^32 + (-9*i + 9)*u^31 + (19*i - 19)*u^30 + (171*i + 249)*u^29 + (27*i - 111)*u^28 + (-142*i + 96)*u^27 + (510*i + 132)*u^26 + (-585*i + 3)*u^25 + (895*i + 27)*u^24 + (2416*i - 2876)*u^23 + (1920*i - 1356)*u^22 + (-2319*i + 2497)*u^21 + (1269*i - 1427)*u^20 + (231*i + 897)*u^19 + (-525*i - 787)*u^18 + (1605*i + 1327)*u^17 + (-1959*i - 2157)*u^16 + (-3241*i - 3353)*u^15 + (-1869*i - 2317)*u^14 + (825*i + 771)*u^13 + (-399*i - 869)*u^12 + (520*i + 348)*u^11 + (-60*i - 528)*u^10 + (285*i + 93)*u^9 + (173*i - 411)*u^8 + (222*i - 84)*u^7 + (6*i - 84)*u^6 + (19*i + 19)*u^5 + (-9*i - 9)*u^4 + (3*i + 3)*u^3 + (-i - 1)*u^2)*v^29 + ((-15*i + 15)*u^34 + (34*i - 34)*u^33 + (-84*i + 84)*u^32 + (120*i - 120)*u^31 + (1145*i + 1515)*u^30 + (330*i - 50)*u^29 + (-1287*i - 827)*u^28 + (2768*i + 2368)*u^27 + (-1429*i - 749)*u^26 + (1406*i + 166)*u^25 + (20746*i - 17004)*u^24 + (5392*i - 8168)*u^23 + (-8497*i + 14555)*u^22 + (-1546*i + 686)*u^21 + (11504*i - 8904)*u^20 + (-8056*i + 11416)*u^19 + (11165*i - 6109)*u^18 + (-10330*i - 2214)*u^17 + (-29194*i - 36164)*u^16 + (-6864*i - 7144)*u^15 + (-1189*i - 4179)*u^14 + (5222*i + 2330)*u^13 + (-2447*i - 5723)*u^12 + (5264*i + 1616)*u^11 + (-891*i - 4519)*u^10 + (4714*i - 1054)*u^9 + (852*i - 3292)*u^8 + (1352*i + 8)*u^7 + (-275*i - 515)*u^6 + (170*i + 170)*u^5 + (-90*i - 90)*u^4 + (24*i + 24)*u^3 + (-14*i - 14)*u^2)*v^28 + ((-105*i + 105)*u^35 + (165*i - 165)*u^34 + (-289*i + 289)*u^33 + (33*i - 33)*u^32 + (6222*i + 5748)*u^31 + (874*i + 3116)*u^30 + (-6183*i - 9077)*u^29 + (8019*i + 11553)*u^28 + (4139*i + 5477)*u^27 + (-5515*i - 17261)*u^26 + (101475*i - 55017)*u^25 + (31865*i - 60571)*u^24 + (-67035*i + 98091)*u^23 + (7743*i + 849)*u^22 + (38731*i - 37405)*u^21 + (1349*i + 26213)*u^20 + (8376*i + 34800)*u^19 + (-19400*i - 101384)*u^18 + (-176395*i - 104473)*u^17 + (-45213*i - 131799)*u^16 + (18348*i + 57048)*u^15 + (5492*i - 49784)*u^14 + (17403*i + 13881)*u^13 + (2929*i - 33589)*u^12 + (25579*i - 1093)*u^11 + (12525*i - 34443)*u^10 + (24609*i - 10223)*u^9 + (1531*i - 12637)*u^8 + (4437*i + 1161)*u^7 + (-1793*i - 2213)*u^6 + (649*i + 649)*u^5 + (-513*i - 513)*u^4 + (39*i + 39)*u^3 + (-91*i - 91)*u^2)*v^27 + ((-i - 1)*u^38 + (6*i + 6)*u^37 + (-482*i + 428)*u^36 + (512*i - 328)*u^35 + (-453*i - 93)*u^34 + (-1354*i + 2782)*u^33 + (22188*i + 15080)*u^32 + (7332*i + 19452)*u^31 + (-37102*i - 42486)*u^30 + (32956*i + 27564)*u^29 + (13656*i + 60360)*u^28 + (7232*i - 104072)*u^27 + (282445*i - 196655)*u^26 + (242334*i - 151986)*u^25 + (-426353*i + 276613)*u^24 + (80168*i + 233616)*u^23 + (160596*i - 385542)*u^22 + (33396*i + 277640)*u^21 + (16239*i + 24913)*u^20 + (-170748*i - 271524)*u^19 + (-617142*i - 709442)*u^18 + (-379320*i - 239680)*u^17 + (254853*i - 103689)*u^16 + (-43556*i + 168924)*u^15 + (108086*i - 293474)*u^14 + (23508*i + 101004)*u^13 + (117146*i - 231728)*u^12 + (115888*i - 52016)*u^11 + (109167*i - 175107)*u^10 + (48746*i - 18498)*u^9 + (4891*i - 39291)*u^8 + (3576*i + 6168)*u^7 + (-5259*i - 9193)*u^6 + (-266*i + 1162)*u^5 + (-2139*i - 2685)*u^4 + (-404*i - 220)*u^3 + (-337*i - 391)*u^2 + (-6*i + 6)*u + (i - 1))*v^26 + ((-10*i - 10)*u^39 + (50*i + 50)*u^38 + (-1562*i + 1168)*u^37 + (1026*i + 116)*u^36 + (611*i - 3589)*u^35 + (-6089*i + 12991)*u^34 + (55820*i + 37280)*u^33 + (37564*i + 50040)*u^32 + (-143369*i - 106897)*u^31 + (66543*i - 10457)*u^30 + (119966*i + 306858)*u^29 + (-34986*i - 369366)*u^28 + (799794*i - 668250)*u^27 + (623082*i - 207794)*u^26 + (-1115786*i + 820742)*u^25 + (-529378*i + 780886)*u^24 + (1468932*i - 901870)*u^23 + (-498076*i - 6934)*u^22 + (336386*i + 1349234)*u^21 + (-953278*i - 2130358)*u^20 + (-2002729*i - 1500321)*u^19 + (-1274353*i - 1720241)*u^18 + (627308*i + 747284)*u^17 + (572348*i - 389732)*u^16 + (-374353*i + 3625)*u^15 + (726743*i - 829647)*u^14 + (34858*i + 48934)*u^13 + (875298*i - 1151594)*u^12 + (297320*i - 215374)*u^11 + (370320*i - 557862)*u^10 + (-40590*i + 54566)*u^9 + (37578*i - 143210)*u^8 + (-42932*i + 27856)*u^7 + (-7568*i - 44612)*u^6 + (-16320*i - 290)*u^5 + (-6188*i - 12622)*u^4 + (-3264*i - 1026)*u^3 + (-652*i - 1350)*u^2 + (-80*i + 80)*u + (16*i - 16))*v^25 + ((-45*i - 45)*u^40 + (180*i + 180)*u^39 + (-3594*i + 2412)*u^38 + (768*i + 1860)*u^37 + (6528*i - 12218)*u^36 + (-16248*i + 27768)*u^35 + (105228*i + 98952)*u^34 + (111592*i + 58368)*u^33 + (-363596*i - 196100)*u^32 + (-19584*i - 168480)*u^31 + (588694*i + 802330)*u^30 + (-203984*i - 608160)*u^29 + (1644087*i - 2312505)*u^28 + (1564880*i + 392272)*u^27 + (-3017062*i + 2076378)*u^26 + (-1911408*i + 2069952)*u^25 + (3794358*i - 2253112)*u^24 + (759040*i - 374680)*u^23 + (-2475102*i + 3135138)*u^22 + (-305120*i - 3435960)*u^21 + (-7709155*i - 8584445)*u^20 + (-2405520*i - 36960)*u^19 + (1531402*i - 1595642)*u^18 + (1970840*i + 3060960)*u^17 + (-482028*i - 3680232)*u^16 + (392528*i + 375872)*u^15 + (2514642*i - 3053242)*u^14 + (947760*i - 1422528)*u^13 + (2981503*i - 3454095)*u^12 + (4864*i - 289040)*u^11 + (765726*i - 1272690)*u^10 + (-520336*i + 282240)*u^9 + (138551*i - 498215)*u^8 + (-267012*i + 73668)*u^7 + (-10048*i - 189518)*u^6 + (-89632*i - 7212)*u^5 + (-10323*i - 45513)*u^4 + (-13128*i - 600)*u^3 + (114*i - 4118)*u^2 + (-480*i + 480)*u + (120*i - 120))*v^24 + ((-120*i - 120)*u^41 + (360*i + 360)*u^40 + (-5870*i + 4140)*u^39 + (-2094*i + 3912)*u^38 + (20910*i - 23316)*u^37 + (-25314*i + 32016)*u^36 + (137831*i + 221691)*u^35 + (249261*i + 19641)*u^34 + (-710724*i - 408824)*u^33 + (-349868*i - 296816)*u^32 + (1485807*i + 1312059)*u^31 + (131257*i - 412451)*u^30 + (1545122*i - 5561426)*u^29 + (4158390*i + 991074)*u^28 + (-7406388*i + 7208086)*u^27 + (-4658740*i + 1491986)*u^26 + (8243730*i - 2617074)*u^25 + (4802630*i - 3565694)*u^24 + (-8644502*i + 8833574)*u^23 + (-4266954*i - 8261118)*u^22 + (-12019546*i - 19207330)*u^21 + (-12658246*i - 4999430)*u^20 + (10868499*i + 8567475)*u^19 + (1449621*i - 4345827)*u^18 + (376668*i + 3244076)*u^17 + (-443820*i - 11699556)*u^16 + (6221915*i + 1539069)*u^15 + (6165405*i - 13255701)*u^14 + (4590102*i - 3898926)*u^13 + (4348450*i - 6960434)*u^12 + (-1704838*i + 327586)*u^11 + (974862*i - 2693754)*u^10 + (-1768978*i + 442326)*u^9 + (168202*i - 1429334)*u^8 + (-917154*i + 28134)*u^7 + (-47714*i - 584386)*u^6 + (-275484*i - 19866)*u^5 + (-1344*i - 120426)*u^4 + (-35300*i + 6986)*u^3 + (5096*i - 11102)*u^2 + (-1680*i + 1680)*u + (560*i - 560))*v^23 + ((-209*i - 211)*u^42 + (410*i + 430)*u^41 + (-6745*i + 5995)*u^40 + (-7800*i + 4280)*u^39 + (39699*i - 33297)*u^38 + (-14358*i + 21978)*u^37 + (103712*i + 353530)*u^36 + (408008*i + 12584)*u^35 + (-1030613*i - 944725)*u^34 + (-1077454*i - 136702)*u^33 + (2843750*i + 1761750)*u^32 + (1306020*i - 112700)*u^31 + (307210*i - 9149670)*u^30 + (5572700*i + 15300)*u^29 + (-9388670*i + 18089104)*u^28 + (-15398680*i + 1064448)*u^27 + (21827749*i - 10300003)*u^26 + (8144826*i + 757546)*u^25 + (-15626271*i + 6916557)*u^24 + (-20585136*i - 3799912)*u^23 + (-13311896*i - 49611050)*u^22 + (-25772788*i - 1255464)*u^21 + (16920113*i + 16731047)*u^20 + (18715972*i + 6155316)*u^19 + (-16234456*i - 16520282)*u^18 + (9096756*i + 661728)*u^17 + (6855321*i - 27119719)*u^16 + (21389628*i - 5030828)*u^15 + (9264286*i - 34620594)*u^14 + (8579476*i - 21132)*u^13 + (-1152736*i - 12945544)*u^12 + (-3622488*i + 2053256)*u^11 + (-700288*i - 6518664)*u^10 + (-3972748*i - 19724)*u^9 + (-593302*i - 3550418)*u^8 + (-2138712*i - 372712)*u^7 + (-180371*i - 1300101)*u^6 + (-553190*i - 27610)*u^5 + (43009*i - 240481)*u^4 + (-66812*i + 26268)*u^3 + (18889*i - 25883)*u^2 + (-3630*i + 3650)*u + (1819*i - 1821))*v^22 + ((-246*i - 258)*u^43 + (198*i + 306)*u^42 + (-5260*i + 6952)*u^41 + (-12780*i + 3168)*u^40 + (50084*i - 42406)*u^39 + (25212*i + 15114)*u^38 + (4932*i + 404580)*u^37 + (440700*i + 81588)*u^36 + (-1020717*i - 1628899)*u^35 + (-2089977*i - 20439)*u^34 + (4165277*i + 2965565)*u^33 + (3703813*i - 1084819)*u^32 + (-2487900*i - 10936524)*u^31 + (4189876*i - 2305932)*u^30 + (-8830413*i + 31226819)*u^29 + (-25529433*i + 5347815)*u^28 + (28381991*i - 30251331)*u^27 + (34084943*i + 7462269)*u^26 + (-49594527*i + 16684083)*u^25 + (-28165675*i - 21674313)*u^24 + (-31658299*i - 58066485)*u^23 + (-15103359*i - 33567825)*u^22 + (7811401*i + 77804083)*u^21 + (51274641*i - 13040597)*u^20 + (-29337318*i - 10927872)*u^19 + (-9642934*i - 31530552)*u^18 + (46774191*i - 12084293)*u^17 + (17793567*i - 62970501)*u^16 + (42420482*i - 20733944)*u^15 + (-2550326*i - 50420664)*u^14 + (6735177*i + 13365057)*u^13 + (-16223283*i - 27517619)*u^12 + (-2975783*i + 4517941)*u^11 + (-8526963*i - 16365831)*u^10 + (-6339321*i - 1351107)*u^9 + (-3417749*i - 7771503)*u^8 + (-3290643*i - 1000737)*u^7 + (-431471*i - 2238357)*u^6 + (-717233*i - 1771)*u^5 + (131847*i - 393315)*u^4 + (-81651*i + 46035)*u^3 + (44801*i - 52569)*u^2 + (-4224*i + 4512)*u + (4352*i - 4384))*v^21 + ((-195*i - 225)*u^44 + (-120*i + 120)*u^43 + (-2514*i + 6126)*u^42 + (-12528*i + 2232)*u^41 + (42708*i - 47154)*u^40 + (70432*i + 15192)*u^39 + (-88912*i + 371636)*u^38 + (261960*i + 98232)*u^37 + (-642718*i - 1891336)*u^36 + (-2619008*i - 395536)*u^35 + (4193337*i + 4870149)*u^34 + (7347926*i - 2419514)*u^33 + (-6467710*i - 12665632)*u^32 + (-654192*i - 309720)*u^31 + (-5574771*i + 36802609)*u^30 + (-28100122*i + 16961750)*u^29 + (26427363*i - 58282371)*u^28 + (63839216*i + 6680240)*u^27 + (-70198341*i + 44750181)*u^26 + (-83866614*i - 47753826)*u^25 + (6795744*i - 84896284)*u^24 + (-39829000*i - 16908696)*u^23 + (49722795*i + 84607977)*u^22 + (37358138*i + 66331750)*u^21 + (-2126544*i - 116054956)*u^20 + (-59240952*i + 20047320)*u^19 + (89670193*i - 82369439)*u^18 + (69898850*i - 48028270)*u^17 + (22237776*i - 109194432)*u^16 + (43008936*i - 13007432)*u^15 + (-41614089*i - 50526937)*u^14 + (3875466*i + 17184306)*u^13 + (-37901654*i - 53653566)*u^12 + (-2008728*i + 4648552)*u^11 + (-25372617*i - 35032767)*u^10 + (-6378178*i - 2480558)*u^9 + (-8609622*i - 14280922)*u^8 + (-2542416*i - 807648)*u^7 + (-815631*i - 3383909)*u^6 + (-385858*i + 102938)*u^5 + (236964*i - 610674)*u^4 + (-24168*i + 37608)*u^3 + (80550*i - 95626)*u^2 + (960*i + 960)*u + (7888*i - 8128))*v^20 + ((-100*i - 140)*u^45 + (-260*i + 20)*u^44 + (-494*i + 4010)*u^43 + (-7286*i + 1562)*u^42 + (23572*i - 40312)*u^41 + (84748*i + 9392)*u^40 + (-110648*i + 303938)*u^39 + (-20576*i + 16350)*u^38 + (-179292*i - 1613068)*u^37 + (-2146732*i - 701524)*u^36 + (2864962*i + 5527804)*u^35 + (9504038*i - 1564284)*u^34 + (-7406259*i - 15733427)*u^33 + (-10950177*i + 5384183)*u^32 + (3490571*i + 37471201)*u^31 + (-24111511*i + 18232459)*u^30 + (23435721*i - 66587879)*u^29 + (73362239*i - 20608641)*u^28 + (-62606688*i + 94639048)*u^27 + (-156625372*i - 71841348)*u^26 + (38542157*i - 122649777)*u^25 + (19013043*i + 16823657)*u^24 + (3535250*i + 131199500)*u^23 + (109178902*i + 64817012)*u^22 + (-68263709*i - 94511375)*u^21 + (-21007591*i - 119610765)*u^20 + (65185451*i + 51075545)*u^19 + (183853585*i - 221043173)*u^18 + (9449871*i - 41254509)*u^17 + (21605405*i - 122332279)*u^16 + (-9009065*i + 30196959)*u^15 + (-76084755*i - 73364219)*u^14 + (4480647*i - 3970545)*u^13 + (-66661535*i - 84005311)*u^12 + (-5241788*i - 4079718)*u^11 + (-44454332*i - 57385082)*u^10 + (-885333*i - 1301703)*u^9 + (-13611315*i - 21310537)*u^8 + (1728312*i + 1048210)*u^7 + (-1346000*i - 5084770)*u^6 + (787365*i + 296655)*u^5 + (301295*i - 1009795)*u^4 + (164137*i - 12897)*u^3 + (113307*i - 158107)*u^2 + (15360*i - 7520)*u + (10880*i - 12000))*v^19 + ((-30*i - 60)*u^46 - 180*i*u^45 + (130*i + 1940)*u^44 + (-1944*i + 720)*u^43 + (7451*i - 24653)*u^42 + (59902*i + 902)*u^41 + (-66693*i + 210837)*u^40 + (-203448*i - 32168)*u^39 + (73568*i - 1169390)*u^38 + (-1025400*i - 415788)*u^37 + (1233146*i + 4303530)*u^36 + (8338536*i + 330800)*u^35 + (-4941084*i - 15727230)*u^34 + (-18748320*i + 6132964)*u^33 + (7008394*i + 40033410)*u^32 + (-2487192*i + 4682184)*u^31 + (4225648*i - 60262716)*u^30 + (77294968*i - 34732456)*u^29 + (-62120877*i + 100936299)*u^28 + (-171409116*i - 28682404)*u^27 + (13092389*i - 204825519)*u^26 + (150984954*i + 89574066)*u^25 + (-49822046*i + 167637686)*u^24 + (88899252*i + 65342828)*u^23 + (-9257466*i - 140807250)*u^22 + (-116083208*i - 118732168)*u^21 + (189695732*i - 35108228)*u^20 + (166039032*i - 78096768)*u^19 + (107873618*i - 292070626)*u^18 + (-86329316*i + 82376932)*u^17 + (19890330*i - 135478206)*u^16 + (-90963320*i + 52821344)*u^15 + (-59012610*i - 150498856)*u^14 + (-19697268*i - 26659440)*u^13 + (-91803971*i - 114591051)*u^12 + (-7291484*i - 19538260)*u^11 + (-50450784*i - 69680190)*u^10 + (10775896*i + 2013780)*u^9 + (-14304207*i - 26271525)*u^8 + (8602740*i + 3240468)*u^7 + (-1730118*i - 7570632)*u^6 + (2731312*i + 456028)*u^5 + (279012*i - 1660002)*u^4 + (476944*i - 68744)*u^3 + (119418*i - 234078)*u^2 + (36660*i - 14820)*u + 11050*i - 14690)*v^18 + ((-4*i - 16)*u^47 - 60*i*u^46 + (76*i + 676)*u^45 + (260*i + 140)*u^44 + (924*i - 10740)*u^43 + (24460*i - 1100)*u^42 + (-18584*i + 109288)*u^41 + (-196248*i - 13944)*u^40 + (70836*i - 734242)*u^39 + (-49204*i - 59746)*u^38 + (211164*i + 2747052)*u^37 + (4969756*i + 588188)*u^36 + (-1880926*i - 10713912)*u^35 + (-18209454*i + 1845888)*u^34 + (3627976*i + 37340568)*u^33 + (18962616*i - 3711304)*u^32 + (-5062650*i - 59928060)*u^31 + (42205350*i - 16950300)*u^30 + (-24354680*i + 73961100)*u^29 + (-182912184*i + 9369372)*u^28 + (34246661*i - 199423935)*u^27 + (181537845*i + 46746705)*u^26 + (24637974*i + 303856698)*u^25 + (-85305450*i - 49592950)*u^24 + (106591739*i - 118562433)*u^23 + (-135565797*i - 169626897)*u^22 + (165689368*i + 12836724)*u^21 + (314835976*i - 126192428)*u^20 + (-6707652*i - 187399896)*u^19 + (-18569572*i - 112502824)*u^18 + (-115337848*i + 154558900)*u^17 + (12901464*i - 220037868)*u^16 + (-141588676*i + 29726744)*u^15 + (-16445996*i - 238284248)*u^14 + (-82871028*i - 23274936)*u^13 + (-74378860*i - 145392816)*u^12 + (-1221551*i - 21673193)*u^11 + (-33682575*i - 66488385)*u^10 + (23677874*i + 3231842)*u^9 + (-9051022*i - 28368782)*u^8 + (14759679*i + 3064743)*u^7 + (-1324025*i - 10100745)*u^6 + (4681548*i + 367288)*u^5 + (166620*i - 2354520)*u^4 + (791620*i - 67780)*u^3 + (79028*i - 301068)*u^2 + (56160*i - 12480)*u + 7072*i - 15808)*v^17 + (-2*u^48 - 8*i*u^47 + 152*u^46 + 312*i*u^45 - 3350*u^44 + 4496*i*u^43 + 40132*u^42 - 96352*i*u^41 - 344954*u^40 + 290056*i*u^39 + 1617376*u^38 + 1666352*i*u^37 - 5523116*u^36 - 12020288*i*u^35 + 24016008*u^34 + 24198752*i*u^33 - 57240428*u^32 - 1727664*i*u^31 + 60832548*u^30 - 125374288*i*u^29 - 127512786*u^28 + 229626160*i*u^27 + 304270812*u^26 - 105562128*i*u^25 - 289910456*u^24 + 83797504*i*u^23 - 87198252*u^22 + 396722656*i*u^21 - 245896876*u^20 - 169830032*i*u^19 + 44053548*u^18 - 105064160*i*u^17 - 283902890*u^16 - 152183592*i*u^15 - 274417564*u^14 - 121492136*i*u^13 - 160360918*u^12 + 3952352*i*u^11 - 61683824*u^10 + 29420912*i*u^9 - 28785478*u^8 + 17164760*i*u^7 - 11202580*u^6 + 5516016*i*u^5 - 2663510*u^4 + 926256*i*u^3 - 328356*u^2 + 64064*i*u - 16016)*v^16 + ((-4*i + 16)*u^47 + 60*i*u^46 + (76*i - 676)*u^45 + (-260*i + 140)*u^44 + (924*i + 10740)*u^43 + (-24460*i - 1100)*u^42 + (-18584*i - 109288)*u^41 + (196248*i - 13944)*u^40 + (70836*i + 734242)*u^39 + (49204*i - 59746)*u^38 + (211164*i - 2747052)*u^37 + (-4969756*i + 588188)*u^36 + (-1880926*i + 10713912)*u^35 + (18209454*i + 1845888)*u^34 + (3627976*i - 37340568)*u^33 + (-18962616*i - 3711304)*u^32 + (-5062650*i + 59928060)*u^31 + (-42205350*i - 16950300)*u^30 + (-24354680*i - 73961100)*u^29 + (182912184*i + 9369372)*u^28 + (34246661*i + 199423935)*u^27 + (-181537845*i + 46746705)*u^26 + (24637974*i - 303856698)*u^25 + (85305450*i - 49592950)*u^24 + (106591739*i + 118562433)*u^23 + (135565797*i - 169626897)*u^22 + (165689368*i - 12836724)*u^21 + (-314835976*i - 126192428)*u^20 + (-6707652*i + 187399896)*u^19 + (18569572*i - 112502824)*u^18 + (-115337848*i - 154558900)*u^17 + (-12901464*i - 220037868)*u^16 + (-141588676*i - 29726744)*u^15 + (16445996*i - 238284248)*u^14 + (-82871028*i + 23274936)*u^13 + (74378860*i - 145392816)*u^12 + (-1221551*i + 21673193)*u^11 + (33682575*i - 66488385)*u^10 + (23677874*i - 3231842)*u^9 + (9051022*i - 28368782)*u^8 + (14759679*i - 3064743)*u^7 + (1324025*i - 10100745)*u^6 + (4681548*i - 367288)*u^5 + (-166620*i - 2354520)*u^4 + (791620*i + 67780)*u^3 + (-79028*i - 301068)*u^2 + (56160*i + 12480)*u - 7072*i - 15808)*v^15 + ((30*i - 60)*u^46 - 180*i*u^45 + (-130*i + 1940)*u^44 + (-1944*i - 720)*u^43 + (-7451*i - 24653)*u^42 + (59902*i - 902)*u^41 + (66693*i + 210837)*u^40 + (-203448*i + 32168)*u^39 + (-73568*i - 1169390)*u^38 + (-1025400*i + 415788)*u^37 + (-1233146*i + 4303530)*u^36 + (8338536*i - 330800)*u^35 + (4941084*i - 15727230)*u^34 + (-18748320*i - 6132964)*u^33 + (-7008394*i + 40033410)*u^32 + (-2487192*i - 4682184)*u^31 + (-4225648*i - 60262716)*u^30 + (77294968*i + 34732456)*u^29 + (62120877*i + 100936299)*u^28 + (-171409116*i + 28682404)*u^27 + (-13092389*i - 204825519)*u^26 + (150984954*i - 89574066)*u^25 + (49822046*i + 167637686)*u^24 + (88899252*i - 65342828)*u^23 + (9257466*i - 140807250)*u^22 + (-116083208*i + 118732168)*u^21 + (-189695732*i - 35108228)*u^20 + (166039032*i + 78096768)*u^19 + (-107873618*i - 292070626)*u^18 + (-86329316*i - 82376932)*u^17 + (-19890330*i - 135478206)*u^16 + (-90963320*i - 52821344)*u^15 + (59012610*i - 150498856)*u^14 + (-19697268*i + 26659440)*u^13 + (91803971*i - 114591051)*u^12 + (-7291484*i + 19538260)*u^11 + (50450784*i - 69680190)*u^10 + (10775896*i - 2013780)*u^9 + (14304207*i - 26271525)*u^8 + (8602740*i - 3240468)*u^7 + (1730118*i - 7570632)*u^6 + (2731312*i - 456028)*u^5 + (-279012*i - 1660002)*u^4 + (476944*i + 68744)*u^3 + (-119418*i - 234078)*u^2 + (36660*i + 14820)*u - 11050*i - 14690)*v^14 + ((-100*i + 140)*u^45 + (260*i + 20)*u^44 + (-494*i - 4010)*u^43 + (7286*i + 1562)*u^42 + (23572*i + 40312)*u^41 + (-84748*i + 9392)*u^40 + (-110648*i - 303938)*u^39 + (20576*i + 16350)*u^38 + (-179292*i + 1613068)*u^37 + (2146732*i - 701524)*u^36 + (2864962*i - 5527804)*u^35 + (-9504038*i - 1564284)*u^34 + (-7406259*i + 15733427)*u^33 + (10950177*i + 5384183)*u^32 + (3490571*i - 37471201)*u^31 + (24111511*i + 18232459)*u^30 + (23435721*i + 66587879)*u^29 + (-73362239*i - 20608641)*u^28 + (-62606688*i - 94639048)*u^27 + (156625372*i - 71841348)*u^26 + (38542157*i + 122649777)*u^25 + (-19013043*i + 16823657)*u^24 + (3535250*i - 131199500)*u^23 + (-109178902*i + 64817012)*u^22 + (-68263709*i + 94511375)*u^21 + (21007591*i - 119610765)*u^20 + (65185451*i - 51075545)*u^19 + (-183853585*i - 221043173)*u^18 + (9449871*i + 41254509)*u^17 + (-21605405*i - 122332279)*u^16 + (-9009065*i - 30196959)*u^15 + (76084755*i - 73364219)*u^14 + (4480647*i + 3970545)*u^13 + (66661535*i - 84005311)*u^12 + (-5241788*i + 4079718)*u^11 + (44454332*i - 57385082)*u^10 + (-885333*i + 1301703)*u^9 + (13611315*i - 21310537)*u^8 + (1728312*i - 1048210)*u^7 + (1346000*i - 5084770)*u^6 + (787365*i - 296655)*u^5 + (-301295*i - 1009795)*u^4 + (164137*i + 12897)*u^3 + (-113307*i - 158107)*u^2 + (15360*i + 7520)*u - 10880*i - 12000)*v^13 + ((195*i - 225)*u^44 + (-120*i - 120)*u^43 + (2514*i + 6126)*u^42 + (-12528*i - 2232)*u^41 + (-42708*i - 47154)*u^40 + (70432*i - 15192)*u^39 + (88912*i + 371636)*u^38 + (261960*i - 98232)*u^37 + (642718*i - 1891336)*u^36 + (-2619008*i + 395536)*u^35 + (-4193337*i + 4870149)*u^34 + (7347926*i + 2419514)*u^33 + (6467710*i - 12665632)*u^32 + (-654192*i + 309720)*u^31 + (5574771*i + 36802609)*u^30 + (-28100122*i - 16961750)*u^29 + (-26427363*i - 58282371)*u^28 + (63839216*i - 6680240)*u^27 + (70198341*i + 44750181)*u^26 + (-83866614*i + 47753826)*u^25 + (-6795744*i - 84896284)*u^24 + (-39829000*i + 16908696)*u^23 + (-49722795*i + 84607977)*u^22 + (37358138*i - 66331750)*u^21 + (2126544*i - 116054956)*u^20 + (-59240952*i - 20047320)*u^19 + (-89670193*i - 82369439)*u^18 + (69898850*i + 48028270)*u^17 + (-22237776*i - 109194432)*u^16 + (43008936*i + 13007432)*u^15 + (41614089*i - 50526937)*u^14 + (3875466*i - 17184306)*u^13 + (37901654*i - 53653566)*u^12 + (-2008728*i - 4648552)*u^11 + (25372617*i - 35032767)*u^10 + (-6378178*i + 2480558)*u^9 + (8609622*i - 14280922)*u^8 + (-2542416*i + 807648)*u^7 + (815631*i - 3383909)*u^6 + (-385858*i - 102938)*u^5 + (-236964*i - 610674)*u^4 + (-24168*i - 37608)*u^3 + (-80550*i - 95626)*u^2 + (960*i - 960)*u - 7888*i - 8128)*v^12 + ((-246*i + 258)*u^43 + (-198*i + 306)*u^42 + (-5260*i - 6952)*u^41 + (12780*i + 3168)*u^40 + (50084*i + 42406)*u^39 + (-25212*i + 15114)*u^38 + (4932*i - 404580)*u^37 + (-440700*i + 81588)*u^36 + (-1020717*i + 1628899)*u^35 + (2089977*i - 20439)*u^34 + (4165277*i - 2965565)*u^33 + (-3703813*i - 1084819)*u^32 + (-2487900*i + 10936524)*u^31 + (-4189876*i - 2305932)*u^30 + (-8830413*i - 31226819)*u^29 + (25529433*i + 5347815)*u^28 + (28381991*i + 30251331)*u^27 + (-34084943*i + 7462269)*u^26 + (-49594527*i - 16684083)*u^25 + (28165675*i - 21674313)*u^24 + (-31658299*i + 58066485)*u^23 + (15103359*i - 33567825)*u^22 + (7811401*i - 77804083)*u^21 + (-51274641*i - 13040597)*u^20 + (-29337318*i + 10927872)*u^19 + (9642934*i - 31530552)*u^18 + (46774191*i + 12084293)*u^17 + (-17793567*i - 62970501)*u^16 + (42420482*i + 20733944)*u^15 + (2550326*i - 50420664)*u^14 + (6735177*i - 13365057)*u^13 + (16223283*i - 27517619)*u^12 + (-2975783*i - 4517941)*u^11 + (8526963*i - 16365831)*u^10 + (-6339321*i + 1351107)*u^9 + (3417749*i - 7771503)*u^8 + (-3290643*i + 1000737)*u^7 + (431471*i - 2238357)*u^6 + (-717233*i + 1771)*u^5 + (-131847*i - 393315)*u^4 + (-81651*i - 46035)*u^3 + (-44801*i - 52569)*u^2 + (-4224*i - 4512)*u - 4352*i - 4384)*v^11 + ((209*i - 211)*u^42 + (410*i - 430)*u^41 + (6745*i + 5995)*u^40 + (-7800*i - 4280)*u^39 + (-39699*i - 33297)*u^38 + (-14358*i - 21978)*u^37 + (-103712*i + 353530)*u^36 + (408008*i - 12584)*u^35 + (1030613*i - 944725)*u^34 + (-1077454*i + 136702)*u^33 + (-2843750*i + 1761750)*u^32 + (1306020*i + 112700)*u^31 + (-307210*i - 9149670)*u^30 + (5572700*i - 15300)*u^29 + (9388670*i + 18089104)*u^28 + (-15398680*i - 1064448)*u^27 + (-21827749*i - 10300003)*u^26 + (8144826*i - 757546)*u^25 + (15626271*i + 6916557)*u^24 + (-20585136*i + 3799912)*u^23 + (13311896*i - 49611050)*u^22 + (-25772788*i + 1255464)*u^21 + (-16920113*i + 16731047)*u^20 + (18715972*i - 6155316)*u^19 + (16234456*i - 16520282)*u^18 + (9096756*i - 661728)*u^17 + (-6855321*i - 27119719)*u^16 + (21389628*i + 5030828)*u^15 + (-9264286*i - 34620594)*u^14 + (8579476*i + 21132)*u^13 + (1152736*i - 12945544)*u^12 + (-3622488*i - 2053256)*u^11 + (700288*i - 6518664)*u^10 + (-3972748*i + 19724)*u^9 + (593302*i - 3550418)*u^8 + (-2138712*i + 372712)*u^7 + (180371*i - 1300101)*u^6 + (-553190*i + 27610)*u^5 + (-43009*i - 240481)*u^4 + (-66812*i - 26268)*u^3 + (-18889*i - 25883)*u^2 + (-3630*i - 3650)*u - 1819*i - 1821)*v^10 + ((-120*i + 120)*u^41 + (-360*i + 360)*u^40 + (-5870*i - 4140)*u^39 + (2094*i + 3912)*u^38 + (20910*i + 23316)*u^37 + (25314*i + 32016)*u^36 + (137831*i - 221691)*u^35 + (-249261*i + 19641)*u^34 + (-710724*i + 408824)*u^33 + (349868*i - 296816)*u^32 + (1485807*i - 1312059)*u^31 + (-131257*i - 412451)*u^30 + (1545122*i + 5561426)*u^29 + (-4158390*i + 991074)*u^28 + (-7406388*i - 7208086)*u^27 + (4658740*i + 1491986)*u^26 + (8243730*i + 2617074)*u^25 + (-4802630*i - 3565694)*u^24 + (-8644502*i - 8833574)*u^23 + (4266954*i - 8261118)*u^22 + (-12019546*i + 19207330)*u^21 + (12658246*i - 4999430)*u^20 + (10868499*i - 8567475)*u^19 + (-1449621*i - 4345827)*u^18 + (376668*i - 3244076)*u^17 + (443820*i - 11699556)*u^16 + (6221915*i - 1539069)*u^15 + (-6165405*i - 13255701)*u^14 + (4590102*i + 3898926)*u^13 + (-4348450*i - 6960434)*u^12 + (-1704838*i - 327586)*u^11 + (-974862*i - 2693754)*u^10 + (-1768978*i - 442326)*u^9 + (-168202*i - 1429334)*u^8 + (-917154*i - 28134)*u^7 + (47714*i - 584386)*u^6 + (-275484*i + 19866)*u^5 + (1344*i - 120426)*u^4 + (-35300*i - 6986)*u^3 + (-5096*i - 11102)*u^2 + (-1680*i - 1680)*u - 560*i - 560)*v^9 + ((45*i - 45)*u^40 + (180*i - 180)*u^39 + (3594*i + 2412)*u^38 + (768*i - 1860)*u^37 + (-6528*i - 12218)*u^36 + (-16248*i - 27768)*u^35 + (-105228*i + 98952)*u^34 + (111592*i - 58368)*u^33 + (363596*i - 196100)*u^32 + (-19584*i + 168480)*u^31 + (-588694*i + 802330)*u^30 + (-203984*i + 608160)*u^29 + (-1644087*i - 2312505)*u^28 + (1564880*i - 392272)*u^27 + (3017062*i + 2076378)*u^26 + (-1911408*i - 2069952)*u^25 + (-3794358*i - 2253112)*u^24 + (759040*i + 374680)*u^23 + (2475102*i + 3135138)*u^22 + (-305120*i + 3435960)*u^21 + (7709155*i - 8584445)*u^20 + (-2405520*i + 36960)*u^19 + (-1531402*i - 1595642)*u^18 + (1970840*i - 3060960)*u^17 + (482028*i - 3680232)*u^16 + (392528*i - 375872)*u^15 + (-2514642*i - 3053242)*u^14 + (947760*i + 1422528)*u^13 + (-2981503*i - 3454095)*u^12 + (4864*i + 289040)*u^11 + (-765726*i - 1272690)*u^10 + (-520336*i - 282240)*u^9 + (-138551*i - 498215)*u^8 + (-267012*i - 73668)*u^7 + (10048*i - 189518)*u^6 + (-89632*i + 7212)*u^5 + (10323*i - 45513)*u^4 + (-13128*i + 600)*u^3 + (-114*i - 4118)*u^2 + (-480*i - 480)*u - 120*i - 120)*v^8 + ((-10*i + 10)*u^39 + (-50*i + 50)*u^38 + (-1562*i - 1168)*u^37 + (-1026*i + 116)*u^36 + (611*i + 3589)*u^35 + (6089*i + 12991)*u^34 + (55820*i - 37280)*u^33 + (-37564*i + 50040)*u^32 + (-143369*i + 106897)*u^31 + (-66543*i - 10457)*u^30 + (119966*i - 306858)*u^29 + (34986*i - 369366)*u^28 + (799794*i + 668250)*u^27 + (-623082*i - 207794)*u^26 + (-1115786*i - 820742)*u^25 + (529378*i + 780886)*u^24 + (1468932*i + 901870)*u^23 + (498076*i - 6934)*u^22 + (336386*i - 1349234)*u^21 + (953278*i - 2130358)*u^20 + (-2002729*i + 1500321)*u^19 + (1274353*i - 1720241)*u^18 + (627308*i - 747284)*u^17 + (-572348*i - 389732)*u^16 + (-374353*i - 3625)*u^15 + (-726743*i - 829647)*u^14 + (34858*i - 48934)*u^13 + (-875298*i - 1151594)*u^12 + (297320*i + 215374)*u^11 + (-370320*i - 557862)*u^10 + (-40590*i - 54566)*u^9 + (-37578*i - 143210)*u^8 + (-42932*i - 27856)*u^7 + (7568*i - 44612)*u^6 + (-16320*i + 290)*u^5 + (6188*i - 12622)*u^4 + (-3264*i + 1026)*u^3 + (652*i - 1350)*u^2 + (-80*i - 80)*u - 16*i - 16)*v^7 + ((i - 1)*u^38 + (6*i - 6)*u^37 + (482*i + 428)*u^36 + (512*i + 328)*u^35 + (453*i - 93)*u^34 + (-1354*i - 2782)*u^33 + (-22188*i + 15080)*u^32 + (7332*i - 19452)*u^31 + (37102*i - 42486)*u^30 + (32956*i - 27564)*u^29 + (-13656*i + 60360)*u^28 + (7232*i + 104072)*u^27 + (-282445*i - 196655)*u^26 + (242334*i + 151986)*u^25 + (426353*i + 276613)*u^24 + (80168*i - 233616)*u^23 + (-160596*i - 385542)*u^22 + (33396*i - 277640)*u^21 + (-16239*i + 24913)*u^20 + (-170748*i + 271524)*u^19 + (617142*i - 709442)*u^18 + (-379320*i + 239680)*u^17 + (-254853*i - 103689)*u^16 + (-43556*i - 168924)*u^15 + (-108086*i - 293474)*u^14 + (23508*i - 101004)*u^13 + (-117146*i - 231728)*u^12 + (115888*i + 52016)*u^11 + (-109167*i - 175107)*u^10 + (48746*i + 18498)*u^9 + (-4891*i - 39291)*u^8 + (3576*i - 6168)*u^7 + (5259*i - 9193)*u^6 + (-266*i - 1162)*u^5 + (2139*i - 2685)*u^4 + (-404*i + 220)*u^3 + (337*i - 391)*u^2 + (-6*i - 6)*u - i - 1)*v^6 + ((-105*i - 105)*u^35 + (-165*i - 165)*u^34 + (-289*i - 289)*u^33 + (-33*i - 33)*u^32 + (6222*i - 5748)*u^31 + (-874*i + 3116)*u^30 + (-6183*i + 9077)*u^29 + (-8019*i + 11553)*u^28 + (4139*i - 5477)*u^27 + (5515*i - 17261)*u^26 + (101475*i + 55017)*u^25 + (-31865*i - 60571)*u^24 + (-67035*i - 98091)*u^23 + (-7743*i + 849)*u^22 + (38731*i + 37405)*u^21 + (-1349*i + 26213)*u^20 + (8376*i - 34800)*u^19 + (19400*i - 101384)*u^18 + (-176395*i + 104473)*u^17 + (45213*i - 131799)*u^16 + (18348*i - 57048)*u^15 + (-5492*i - 49784)*u^14 + (17403*i - 13881)*u^13 + (-2929*i - 33589)*u^12 + (25579*i + 1093)*u^11 + (-12525*i - 34443)*u^10 + (24609*i + 10223)*u^9 + (-1531*i - 12637)*u^8 + (4437*i - 1161)*u^7 + (1793*i - 2213)*u^6 + (649*i - 649)*u^5 + (513*i - 513)*u^4 + (39*i - 39)*u^3 + (91*i - 91)*u^2)*v^5 + ((15*i + 15)*u^34 + (34*i + 34)*u^33 + (84*i + 84)*u^32 + (120*i + 120)*u^31 + (-1145*i + 1515)*u^30 + (330*i + 50)*u^29 + (1287*i - 827)*u^28 + (2768*i - 2368)*u^27 + (1429*i - 749)*u^26 + (1406*i - 166)*u^25 + (-20746*i - 17004)*u^24 + (5392*i + 8168)*u^23 + (8497*i + 14555)*u^22 + (-1546*i - 686)*u^21 + (-11504*i - 8904)*u^20 + (-8056*i - 11416)*u^19 + (-11165*i - 6109)*u^18 + (-10330*i + 2214)*u^17 + (29194*i - 36164)*u^16 + (-6864*i + 7144)*u^15 + (1189*i - 4179)*u^14 + (5222*i - 2330)*u^13 + (2447*i - 5723)*u^12 + (5264*i - 1616)*u^11 + (891*i - 4519)*u^10 + (4714*i + 1054)*u^9 + (-852*i - 3292)*u^8 + (1352*i - 8)*u^7 + (275*i - 515)*u^6 + (170*i - 170)*u^5 + (90*i - 90)*u^4 + (24*i - 24)*u^3 + (14*i - 14)*u^2)*v^4 + ((-i - 1)*u^33 + (-3*i - 3)*u^32 + (-9*i - 9)*u^31 + (-19*i - 19)*u^30 + (171*i - 249)*u^29 + (-27*i - 111)*u^28 + (-142*i - 96)*u^27 + (-510*i + 132)*u^26 + (-585*i - 3)*u^25 + (-895*i + 27)*u^24 + (2416*i + 2876)*u^23 + (-1920*i - 1356)*u^22 + (-2319*i - 2497)*u^21 + (-1269*i - 1427)*u^20 + (231*i - 897)*u^19 + (525*i - 787)*u^18 + (1605*i - 1327)*u^17 + (1959*i - 2157)*u^16 + (-3241*i + 3353)*u^15 + (1869*i - 2317)*u^14 + (825*i - 771)*u^13 + (399*i - 869)*u^12 + (520*i - 348)*u^11 + (60*i - 528)*u^10 + (285*i - 93)*u^9 + (-173*i - 411)*u^8 + (222*i + 84)*u^7 + (-6*i - 84)*u^6 + (19*i - 19)*u^5 + (9*i - 9)*u^4 + (3*i - 3)*u^3 + (i - 1)*u^2)*v^3 + ((-21*i + 21)*u^28 + (-12*i + 12)*u^27 + (-17*i + 17)*u^26 + (6*i - 6)*u^25 + (8*i - 8)*u^24 + (36*i - 36)*u^23 + (-342*i - 414)*u^22 + (144*i + 24)*u^21 + (190*i + 92)*u^20 + (144*i + 24)*u^19 + (40*i - 18)*u^18 - 36*u^17 + (-102*i - 18)*u^16 + (-144*i + 24)*u^15 + (368*i - 528)*u^14 + (-144*i + 24)*u^13 + (-61*i - 73)*u^12 + (-36*i - 36)*u^11 + (-39*i - 39)*u^10 + (-6*i - 6)*u^9 + (-14*i - 14)*u^8 + (12*i + 12)*u^7 + (-10*i - 10)*u^6)*v^2 + ((i - 1)*u^27 + (i - 1)*u^26 + (2*i - 2)*u^25 + (2*i - 2)*u^24 + (3*i - 3)*u^23 + (3*i - 3)*u^22 + (32*i + 24)*u^21 - 8*u^20 + (-2*i - 12)*u^19 + (-2*i - 12)*u^18 - 12*u^17 - 12*u^16 + (2*i - 12)*u^15 + (2*i - 12)*u^14 + (-32*i + 24)*u^13 - 8*u^12 + (-3*i - 3)*u^11 + (-3*i - 3)*u^10 + (-2*i - 2)*u^9 + (-2*i - 2)*u^8 + (-i - 1)*u^7 + (-i - 1)*u^6)*v + (-i - 1)*u^20 + (i - 1)*u^12;
q := (u*v-u-v-1)/(u*v+u-v-1);
t := -(u*v-u-v-1)/(u*v+u+v+1);
E := [R!1,(q^2-1)*(t^2-1)/16,(q^2-1)*(t^2-1)/16,0,0];
P := [R!0,0];
Q := [(q+1)*(t^2-1)/8,(q+1)^2*(t-1)^2*(t+1)/32];