m := 3; n := 11; g := 81; F:=CyclotomicField(3); R:=PolynomialRing(F,2); X := (z*u^35 + (36*z + 1)*u^34 + (629*z + 35)*u^33 + (7105*z + 594)*u^32 + (58311*z + 6511)*u^31 + (370481*z + 51800)*u^30 + (1895992*z + 318681)*u^29 + (8028999*z + 1577311)*u^28 + (28683029*z + 6451688)*u^27 + (87691592*z + 22231341)*u^26 + (231955515*z + 65460251)*u^25 + (535345045*z + 166495265)*u^24 + (1085182435*z + 368849805)*u^23 + (1941939795*z + 716332930)*u^22 + (3079964270*z + 1225609165)*u^21 + (4342293395*z + 1854367755)*u^20 + (5453504355*z + 2487978770)*u^19 + (6109517830*z + 2965702685)*u^18 + (6109432615*z + 3144295845)*u^17 + (5453200755*z + 2966218345)*u^16 + (4341653765*z + 2489025385)*u^15 + (3078877175*z + 1855897140)*u^14 + (1940400060*z + 1227437435)*u^13 + (1083352165*z + 718162925)*u^12 + (533514775*z + 370389540)*u^11 + (230415756*z + 167582635)*u^10 + (86604221*z + 66101881)*u^9 + (28041399*z + 22545315)*u^8 + (7715025*z + 6577659)*u^7 + (1770021*z + 1618066)*u^6 + (329726*z + 329055)*u^5 + (47937*z + 53801)*u^4 + (5104*z + 6786)*u^3 + (354*z + 618)*u^2 + (12*z + 36)*u + 1)*v^30 + ((-z - 1)*u^44 + (-42*z - 43)*u^43 + (-863*z - 905)*u^42 + (-11559*z - 12422)*u^41 + (-113454*z - 125013)*u^40 + (-869799*z - 983253)*u^39 + (-5421467*z - 6291266)*u^38 + (-28236246*z - 33657713)*u^37 + (-125340145*z - 153576391)*u^36 + (-481324166*z - 606664336)*u^35 + (-1617559490*z - 2098884482)*u^34 + (-4800880804*z - 6418453512)*u^33 + (-12676573419*z - 17477590624)*u^32 + (-29956054379*z - 42633647303)*u^31 + (-63661173793*z - 93623104548)*u^30 + (-122148982164*z - 185837306245)*u^29 + (-212287419665*z - 334539561182)*u^28 + (-335039073703*z - 547654521288)*u^27 + (-481152170322*z - 817074542045)*u^26 + (-629738603155*z - 1112919552317)*u^25 + (-752037298183*z - 1385761674938)*u^24 + (-820197436362*z - 1578915588540)*u^23 + (-817644786740*z - 1647291709162)*u^22 + (-745825308662*z - 1574430034702)*u^21 + (-623548464778*z - 1378997981875)*u^20 + (-479212116883*z - 1107231769701)*u^19 + (-340173619383*z - 815389100326)*u^18 + (-224663304350*z - 551195042293)*u^17 + (-139350001253*z - 342479008203)*u^16 + (-81967511343*z - 195954514331)*u^15 + (-46012810757*z - 103470673860)*u^14 + (-24623516668*z - 50519277145)*u^13 + (-12437188712*z - 22822141635)*u^12 + (-5830664375*z - 9521014587)*u^11 + (-2487514325*z - 3647584080)*u^10 + (-946659432*z - 1270748573)*u^9 + (-315148851*z - 397017191)*u^8 + (-89943165*z - 109297517)*u^7 + (-21505435*z - 25954180)*u^6 + (-4183436*z - 5179547)*u^5 + (-635347*z - 840116)*u^4 + (-70615*z - 105725)*u^3 + (-5105*z - 9610)*u^2 + (-180*z - 555)*u - 15)*v^29 + ((-16*z - 16)*u^44 + (-625*z - 641)*u^43 + (-11891*z - 12516)*u^42 + (-146732*z - 158623)*u^41 + (-1319259*z - 1465991)*u^40 + (-9203370*z - 10522629)*u^39 + (-51792071*z - 60995441)*u^38 + (-241269203*z - 293061274)*u^37 + (-947028142*z - 1188297345)*u^36 + (-3170086944*z - 4117115411)*u^35 + (-9116870053*z - 12286966773)*u^34 + (-22591269279*z - 31708281248)*u^33 + (-48101263369*z - 70693855315)*u^32 + (-86951784194*z - 135061927860)*u^31 + (-129229094148*z - 216226548038)*u^30 + (-143674668250*z - 273090448678)*u^29 + (-72428014214*z - 216723555948)*u^28 + (159337409103*z + 85205388739)*u^27 + (613241006501*z + 768692553184)*u^26 + (1294816895246*z + 1900701245957)*u^25 + (2121123839458*z + 3404513821469)*u^24 + (2925593536946*z + 5032633925149)*u^23 + (3509893933291*z + 6422983797617)*u^22 + (3722531924747*z + 7227512463718)*u^21 + (3522419503146*z + 7252078813483)*u^20 + (2991342758047*z + 6531848249783)*u^19 + (2290273014857*z + 5302564678904)*u^18 + (1588057532824*z + 3890107649611)*u^17 + (1002850660283*z + 2583842101712)*u^16 + (581117681218*z + 1556102770966)*u^15 + (311943443146*z + 850878140884)*u^14 + (156667887324*z + 422984831150)*u^13 + (74113435146*z + 191373558110)*u^12 + (32995266986*z + 78825986622)*u^11 + (13676974646*z + 29516653452)*u^10 + (5178902602*z + 10004176822)*u^9 + (1749243279*z + 3043212020)*u^8 + (513480648*z + 819709310)*u^7 + (127347230*z + 191789706)*u^6 + (25812990*z + 37982124)*u^5 + (4092744*z + 6148484)*u^4 + (474985*z + 774500)*u^3 + (35820*z + 70365)*u^2 + (1315*z + 4025)*u + 105)*v^28 + (u^51 + (-z + 45)*u^50 + (-45*z + 998)*u^49 + (-998*z + 14533)*u^48 + (-14533*z + 156213)*u^47 + (-156213*z + 1321094)*u^46 + (-1321094*z + 9150181)*u^45 + (-9150317*z + 53350541)*u^44 + (-53355590*z + 267124421)*u^43 + (-267215519*z + 1165959403)*u^42 + (-1167022651*z + 4488694886)*u^41 + (-4497707360*z + 15383245989)*u^40 + (-15442278528*z + 47283986032)*u^39 + (-47594283188*z + 131152792684)*u^38 + (-132493843984*z + 329953806108)*u^37 + (-334793395935*z + 756184326929)*u^36 + (-770893596971*z + 1584744885157)*u^35 + (-1622464526353*z + 3047633655342)*u^34 + (-3128657925606*z + 5396028036805)*u^33 + (-5538428737157*z + 8824387285341)*u^32 + (-9016081197066*z + 13369583720968)*u^31 + (-13522341491512*z + 18816043726766)*u^30 + (-18727676718398*z + 24642792558570)*u^29 + (-24025627268463*z + 30037626583954)*u^28 + (-28676049996328*z + 33989983062962)*u^27 + (-32029801645098*z + 35469399401852)*u^26 + (-33720544337126*z + 33689261696410)*u^25 + (-33717919479841*z + 28416396912514)*u^24 + (-32228302293483*z + 20213122932615)*u^23 + (-29536328063091*z + 10448713414782)*u^22 + (-25910037799002*z + 975565882767)*u^21 + (-21617821730674*z - 6456618313219)*u^20 + (-16996522611005*z - 10788790414761)*u^19 + (-12468027043575*z - 11944389464108)*u^18 + (-8459260546908*z - 10690520842425)*u^17 + (-5274829619403*z - 8186127743574)*u^16 + (-3013166444256*z - 5489723944786)*u^15 + (-1577443477342*z - 3261554541526)*u^14 + (-760065642266*z - 1727734230360)*u^13 + (-339547013694*z - 819148796228)*u^12 + (-141707196574*z - 348358762312)*u^11 + (-55402215968*z - 132958883322)*u^10 + (-20146896576*z - 45468417050)*u^9 + (-6688627077*z - 13861517412)*u^8 + (-1971919572*z - 3730336542)*u^7 + (-499262274*z - 872029786)*u^6 + (-104421618*z - 172873908)*u^5 + (-17187849*z - 28075257)*u^4 + (-2076606*z - 3550680)*u^3 + (-163114*z - 322882)*u^2 + (-6230*z - 18270)*u - 455)*v^27 + (9*u^51 + (-9*z + 379)*u^50 + (-379*z + 7818)*u^49 + (-7818*z + 105182)*u^48 + (-105182*z + 1036651)*u^47 + (-1036651*z + 7968567)*u^46 + (-7968567*z + 49650470)*u^45 + (-49651286*z + 257189395)*u^44 + (-257217292*z + 1126397334)*u^43 + (-1126858998*z + 4215207998)*u^42 + (-4220126288*z + 13542429258)*u^41 + (-13580257560*z + 37269383424)*u^40 + (-37492573749*z + 86662334571)*u^39 + (-87709349555*z + 163613243896)*u^38 + (-167603418240*z + 220076249965)*u^37 + (-232569697219*z + 69242488493)*u^36 + (-101434387328*z - 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31228299587)*u^38 + (22311568207*z - 327017684056)*u^37 + (303073011401*z - 1053317449512)*u^36 + (1001807100600*z - 2304723205030)*u^35 + (2218299238186*z - 3616083841580)*u^34 + (3510689243660*z - 3255317524044)*u^33 + (3180371683424*z + 2438250652479)*u^32 + (-2437739492264*z + 19046220036535)*u^31 + (-19044823222775*z + 52757496259321)*u^30 + (-53083868908465*z + 107682482059200)*u^29 + (-108886001101860*z + 182734388144825)*u^28 + (-185183945789105*z + 269773774474240)*u^27 + (-272957750250280*z + 354467608022565)*u^26 + (-356524589041581*z + 419994983217845)*u^25 + (-418206979779137*z + 452179611760537)*u^24 + (-444650127553632*z + 443916597374471)*u^23 + (-431588555827851*z + 397238389135397)*u^22 + (-384682823722537*z + 322481001008052)*u^21 + (-316400988756221*z + 235031843638632)*u^20 + (-241037460916369*z + 150801063145230)*u^19 + (-170434752026540*z + 81923680516731)*u^18 + (-111863650002561*z + 34171404287359)*u^17 + (-68005660401094*z + 6891586072295)*u^16 + (-38138247241154*z - 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