I am trying to solve seven non linear equation with seven variables with fsolve comond but it show the error Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunEvals = 700 (the default value).

my problem is

    function F=equ(z)
    T(1)=z(1);
    T(2)=z(2);
    T(3)=z(3);
    T(4)=z(4);
    T(5)=z(5);
    T(6)=z(6);
    T(7)=z(7);
    T(8)=30;
    F(1)=(8851882195710375*T(1))/17592186044416 - 132778232935655625/8796093022208;
    F(2)=(706377819630075746427*T(1))/879609302220800000 - 300*T(2) - 542714824148265632667/35184372088832000;
    F(3)=(77119428673638711*(T(3))^4)/1662273001970115115220992 + 300*T(1) - 300*T(2) - (77119428673638711*(T(2))^4)/1662273001970115115220992;
    F(4)=(77119428673638711*(T(2))^4)/1662273001970115115220992 - (2769*T(3))/20 + 300*T(4) - (3231*T(8))/20 - (77119428673638711*(T(3))^4)/1662273001970115115220992;
    F(5)=(1619508002146412931*(T(4))^4)/166227300197011511522099200 + (3231*T(3))/20 - (4911*T(5))/20 + (3231*T(6))/20 - (1551*T(8))/20 - (1619508002146412931*(T(6))^4)/166227300197011511522099200 + 3276/25;
    F(6)=(6092434865217458169*(T(4))^4)/166227300197011511522099200 + (3231*T(5))/20 - (9231*T(6))/20 + 300*T(7) - (6092434865217458169*(T(6))^4)/166227300197011511522099200;
    F(7)=(7711942867363871*(T(7))^4)/151115727451828646838272 + (619*T(7))/2 - 300*T(6) - 2692139312343358067776095/9444732965739290427392;
    end

please provide solution how to solve this

Answer 1

[Matt J]

MaxFunEvals is an upper limit on the number of function evaluations that FSOLVE is allowed to use in its iterations. You can increase it using either optimset() or optimoptions(), and FSOLVE will iterate further to try to find a solution if you do.

However, it can be shown analytically that your equations have no solution. Note that the first 2 equations can be used to solve for T(1) and T(2) directly. The result is T(1)=30 and T(2)=28.8896. Substituting these into the 3rd equation reduces it to

4.6394e-08*T(3)^4 + 333.0926  =0

The left hand side is a strictly positive expression for all T(3) and cannot be made zero.

[Walter Roberson]

The system has solutions, some of which are strictly complex.

T[1] and T[2] have one real solution each.

T[3] and T[4] have four strictly complex solutions each.

T[5], T[6], T[7] have 64 strictly complex solutions each. They are polynomials of order 16, one coefficient of which is the solution to a polynomial of order 4 whose value is strictly complex.

[Matt J]

Well, okay, but fsolve will never find complex solutions, unless the problem is reparametrized in terms of real and complex parts. That could explain why MaxFunEvals was reached in the OP's case.

[sachin gupta]

T[5], T[6], T[7] are not polynomials of order 16. only T[6], T[7], T[3] and T[4] are polynomials of order 4. so how we can solve this problem.

[Walter Roberson]

You did not get into the question of whether you are looking for real-valued or complex values.

In the below, RootOf(f(x),x) stands for the set of values, x, such that f(x)=0 -- that is, the roots of f(x). There are two distinctive RootOf() expressions, so to make them clearer I have taken care to use different variables for them, Z1 for the smaller RootOf and Z2 for the enclosing RootOf that uses the smaller RootOf as coefficients. This syntax should be accepted by the Symbolic Toolbox.

You can see that the highest power of Z2 is 16, so the expression requires the solution of polynomials of order 16.

T(5) =  - (539836000715470977 / 13605704521125392218083819520) *
RootOf(
58908527486147940203635156620584433879135577009926147038390133508535513703918422331275802497943343433005836908527286984141573764815498182902553517489293037935505927279318269583206455810606190377901743118150230395173816155090684106820390465284856205088020708859178921763744568613245598129064668553757524337642114045625618363580416000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* Z2^16 +
1944039505154277028468216379129188481691777045363944220283547108324179145107036367567773234917453400849456250366525345883769754380870673876998187491998294648545790994459453818894316623850590326739930572692936263171069550499537437719849387439590663285315069614826095074743431294605551500697487572385449993620129285918132648135346005747957760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* Z2^13 + (
-255996492427273171796602083750759959631796691175169925848121741128437788685258156008024760873224079876876037811191481198060631887311230970015894455436739571890639203001935766577466162960295610894153493478140590528281426342098949899209388336614032967877383639452141210101215979912605091845995557826787803136000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 -
220218375408129542661867623899423062059009010420118361450233287291025589690669531259103903925879875311931482511992012295222854668718939291105442728988179938844334615384730389614600509809965190753679125302302442374342846441593870671435695065848670317981777497801814451846422732582825384298033897297226875181141129486521073664000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
33060433696930132307053486270315469640363389619959188650946224971567181421703632408387323499683205637054672426654744612252265759906723808635346582394485136398724099857566318306922359464703246208882439495129386316867697384533747945291451814462350620833134854482396198923496997912926182063857285429114125350027325069792691151726893149848469311062016000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
7980708805970406253498183312314267722782098083175123697311772491663192053129574183441169836686743138409860846988632428786098814482799988074294356153538446865951040667922051943153011001815780949200305324408109910646146176494050395770993778542635290728636727081925555246934427983904833110861347047531612573946825036398640447310013201494616804582192793443920403179112141407911936000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
* Z2^12 +
24058207861899758007403978480692389870659194137968289024359728117184439302080516608900362692951968503157805516543226347273433809125180104928206904953329403713068102304203341358784929228533285044838387227193259707262558183822815257937195328563958240412750654228615046748536243616033647537017364854576788435591536871107328355136267514932758008404377600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* Z2^10 + (
-6336102543599110399962780217887044251156474240958429696530600336470585526470517045711597179768396810505466514466692710597179544085412409388110219081496957681051988231586660033394291186075495767081744165177360487416954628927648682898122246470482799216566036284232758902008292344848047470548681667747934150379406622720000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 -
5450567682942436707766813843971297226753175040042953757881981596525729959915864598652067533509908329400664556353699143564188042737358952032580313257097908972339713192375334751421171175095555702975957235695072417716992587546706694822500890199101853168901499462694925806347447788955708221315521730605128118575528909178720742840498913280000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
818270188210172245469660547601455481962463706742565224356297097350625353725865525316472666214721603336626832410189993966475593412529774931687914675786888343395920707442511288739262378594363910318383666715657995384967099774364530180195420556035417898907333730573893430568728764312681851169371538051075663062403416991108243975154760982983308553151689596600320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
197528446135247449367403479164100938017193089917932724461450084708823184560641366020382347981616557842708626404150061864577009975294718379234538584002253524186991888081693741810002424508755540901672736260258087790799563673302257111021565917017648634941414496650203406859230504374334951275660575300806773338705039189298323364653694573793073485090023232465103451376632179099938088256798720000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
* Z2^9 +
(66681536966517657463105658130347509971336099184382941253579254146745905681541076609438350054788357714317960138403186225223699944882504073465726386216676203698711071604750305318473214360539915072702285232175084868967079103924879849363437888194626632387546003602199341505079318111433559163788960571618167866743196423034422447866290912877913555931347550208000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 +
6957749345515954687103353825948089292902478707411582039624812900922784665256913395876082531828342593088577413972453474865079588440259553691107272577077611043346204815110332498966258371180672737652843611056663247875980660291377186224662530800383297207938966824147462348522786091997662350418348945861480597970593054528041865372454576059534560006479889796365759305627193938280448000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
3359179193081019478029551850641777813799366408927082992598658389992298428807270899534965234596843202649919843293106648836174584544895126926989055293494456036174218419152761058778647738842972991364963527513502480831412849180866632020288479410581834493791377080696114304493223971728884514572846286524314221169113820505041655800184428978184804083872344577472411339487448052419705662451341343064064000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
331350277263994229464919370426977010788838074131978777110956423052225484382652591632605556075536463670775742234950951125260738912890948679300170916355102047412653689658510055357997659336286462870021442843225268769771115867798005791480371031115166114925304669639216274393902866414206618786847642549717159102033498531004095159308241105435593591765069500087800894829244539259247875964223914224459586754320858451598952099741696000000000000000000000000000000000000000000000000000000000000000000000000)
* Z2^8 +
132324097779516756226250830851909379489747503827179653539532376986772995304051095776484209735379736229188771853137330319982410418694767967434619921251710159622517071559145399328798809540027250825613169953839462655945982963484192877563960370854555664542913338604946916681944657452746346380708722132337801954450402549605524155645495248027822506030213109907456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* Z2^7 + (
-52274408218579234927972673092451620484004895458816454229248349166912586795641652864764269847411763166496341643711503158207657623896717879308709872999697774317333296972167926687823424469740295830059477381704745771979370515502779932083530608578770644793196044577616751569190386002571396999251289665082890599421438974466247884800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 -
44968527280065419653384633238720088120726102457651310803598524934323020960698274655980374089741901859658323225450795102004917359149655321965406794251395312179951931387910455094769329046808837878832355816298446045097313767276224174800291248642035983251008899416909205697485783271610844534593012474995305702229316006740934718369191392984642355200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
6750930806005368110722180125170120406966330096499284922135813800926221892844568127403889712878398605727760256985648263832016492723944853598495396523039444582248790790552206933637878073449098439806264861627306160045260411000181339175919079764788006906875820559548634764188406347423433993730261430664686747889154215305674251958625615916011383690508477085335535013068800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
1629658383367994632545570900176283170253338001394243004735714431507889987548501664900933974076011741093353128426943313524083482503587604431686861871333730978326392572928589855401055813371224146112357866247899248687350126468464973428369569216566164776250537936971419233579219814046383086596558896680406719459443318509688733233228036527490849569435696622621061509270246089548815859078005328235724800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
* Z2^6 +
(1100278242040576024990557145293908148131882252313893564663034576582792468145707175221102036308159039133500653532790421806224593413681303927613102654812136097465807221783706169238366504990931697772090327559451296701355821400821593203691701111303180790397999357319401568037240344037073041612170976322411814612600462403739488237248922577602304565661033785816713789440000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 +
114806295216129267074597884089078202980498268026934245244227956072998477632193247440682800295932875471764557177716196865531625876817257452916991930582169976893872068110163329633992830264624575820599678266885080667775827409014950402026238239206127261706204174856713585355173941000502497280918984529058425804523155602849833039301170752662798080882952823557364013929454172887198890343792640000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
55428113168992008763059293912201454447741065826906839393320805374873550648156936574618389576094958975622883165767442568388011249062045066277355269202472822127645718639833771965217604110626654187256224270691620193904121305264274084917867118893147667307881086910253001258628075598895786499233097218591691028241230143288825286288419869708491573661722513385254083752240790568511367875847071501204495815147520000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
5467442970769372280260025737091273550245630590430324486134474952880058513887009537369071524001707053009728630310341329532194939590697582970365959147303190554629748289441161521019744339456308305900484565705403031571944546133937651919318602916517257702029892132455967602152941352022581655654592556824454379575379632456902348125037352786341227726929414321118667772615765780253992705294663122837926676466433839496541509438097067375329280000000000000000000000000000000000000000000000000000000000000000000000000)
* Z2^5 + (
-650797186867309962170366443841651118004474519985435810145857745685256662012401144057969410784108440054199141950355912303980735891631448355670771453180029761740857153905722108747590936069293034843467451575533448863650253068057773153704191783739770662567800706928486795953469720249581732915928360451203505833130276468869523225260906088564772963832102901209902252749126959134027608357713161967150225065771008000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 +
471305933505610768798486580496281812235570426302498451832053111484674467865856428963228288687747477669857087205466109532326109973871948778118962042638414541194483472717002541503647118295077704482451600939621635493037298735734259294521087093026625778881749392180041357037404746475710068998019511289661774378084480581882703503672056107075173511832726413405448541448682770502346734888678528548714800662145645468474100359888896000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
103375942833040729778384907658985730601700806899987239530941143961170017549503748965475699887794154378721352117670239068797281589275936699759251496102413096892615888149202279314748162458269023641858408802231345005799613139358504636624011639372627133452666127035967066929290049348968814806651227536881760509413464328751449788731245981788332191686141543805152553266067325372486862740531464938167149777102843280678581763946786916766990603386880000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
393734083781172289759503011138231559212372720012060495560856885763974645156398932004796272219048982840764251041893146559648336825911900698646904435988370187985893973565429689216949222996990532931208761089803510703110900140171604757958362763100896376477392239468078269237042799053234241282949098383952938973502708109693820550491320435626668809944054569642409518690279429896415044379506207248914477255139050561395051445588075925850141869176484751793704814291138363213708458459136000000000000000000000000000000000000)
* Z2^4 + (
-143758918872676135787206254838052281183287360167993403742687088832555158815263541154597744698933193342513905598831578353938624405491511951150389930407516075772005036741660834302270250397093824150672491386732822134306429446059037317679136596419122452571925586325615628953193671438676663627528020305061034654707982484681663024405151744000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 -
123667145844053904791733862610365157731244577665696223163420820309894835636305367578330554144342653109336590004967928193061204570519704505219074389505471394870065320420509290008766670001116834121713128480290914280098585052951343667025665130324685853180251535262062766396194009879046317280454921919763067671910595520796193735895615541934604293511315456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
18565614554592717821504335214031855314105537105239491744057981839970455200657127667472970433270414644983529235226251715603395699686410123715529877617061754059058995969881565470403069634984588146039444865546081909698643608161424635420907457093299498795045720252037505256389324257417932822985413420944128283364260366582223567089585590444779022784300779373806068999477750923264000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
4481694490833272217413142008817867613516469644032463927880620224074841971915488016584018935089919809848620026312099906288612809970444333012715822916020992604077425931521299966767847615797822650454173885986223985531755517565324004367547207506979070085999169863809974834312584182864995277724505549179096321605063811278770509005474862476868886887536559252187308549638076839480250783589037136529380756946944000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
* Z2^3 +
(4538783391104860104291395535670722063771955080882006194569152249209444694259159363294743065355345010297663551919414859143342359962718263002752453196437389481744338422742271834612236355159106532846246350984823941916853714733643916232292816618917989863361216048432450290125517288372668663684314005335880685388247738596608377578442635800923548792153849429325119077172956364800000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
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Z1)^3 +
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1) +
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* Z2^2 + (
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* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 +
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1) +
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* Z2 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^3 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1) +
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Z2)^4 + (112348410532113481968843449714574620775677471931 /
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^3 + (96646575945162298070315164122760471597632450390370837764091994619 /
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^2 +
(24367874850922927471142576501929547138653918889560345707921350744072764417471247700596259
/
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* RootOf(25706476224546237 * Z1^4 +
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Z1) + (1077 / 1637) *
RootOf(58908527486147940203635156620584433879135577009926147038390133508535513703918422331275802497943343433005836908527286984141573764815498182902553517489293037935505927279318269583206455810606190377901743118150230395173816155090684106820390465284856205088020708859178921763744568613245598129064668553757524337642114045625618363580416000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* Z2^16 +
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* Z2^13 + (
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^3 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1) +
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* Z2^12 +
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* Z2^10 + (
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^3 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1) +
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* Z2^9 +
(66681536966517657463105658130347509971336099184382941253579254146745905681541076609438350054788357714317960138403186225223699944882504073465726386216676203698711071604750305318473214360539915072702285232175084868967079103924879849363437888194626632387546003602199341505079318111433559163788960571618167866743196423034422447866290912877913555931347550208000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
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Z1)^3 +
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1) +
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* Z2^8 +
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* Z2^7 + (
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^3 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
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Z1) +
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* Z2^6 +
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* RootOf(25706476224546237 * Z1^4 +
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Z1)^3 +
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* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
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* Z2^5 + (
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* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 +
471305933505610768798486580496281812235570426302498451832053111484674467865856428963228288687747477669857087205466109532326109973871948778118962042638414541194483472717002541503647118295077704482451600939621635493037298735734259294521087093026625778881749392180041357037404746475710068998019511289661774378084480581882703503672056107075173511832726413405448541448682770502346734888678528548714800662145645468474100359888896000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
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* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
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* Z2^4 + (
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* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 -
123667145844053904791733862610365157731244577665696223163420820309894835636305367578330554144342653109336590004967928193061204570519704505219074389505471394870065320420509290008766670001116834121713128480290914280098585052951343667025665130324685853180251535262062766396194009879046317280454921919763067671910595520796193735895615541934604293511315456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
18565614554592717821504335214031855314105537105239491744057981839970455200657127667472970433270414644983529235226251715603395699686410123715529877617061754059058995969881565470403069634984588146039444865546081909698643608161424635420907457093299498795045720252037505256389324257417932822985413420944128283364260366582223567089585590444779022784300779373806068999477750923264000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
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* Z2^3 +
(4538783391104860104291395535670722063771955080882006194569152249209444694259159363294743065355345010297663551919414859143342359962718263002752453196437389481744338422742271834612236355159106532846246350984823941916853714733643916232292816618917989863361216048432450290125517288372668663684314005335880685388247738596608377578442635800923548792153849429325119077172956364800000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 +
473590121126863534039361194055389135314971971895660348159327129955918793286945825127917292993232759523129432721078984519624181209462505926385353530732326420999191786203494531884188691567012924594163627174177594426634870208456218262034236639817127336833105614716076649102888205512141583494565806597911820077890293334364401736328517746726856907648165302113315990474644423190886021313728346901708800000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
228647800019319008278140569911067503658551805129445211234318299638985188915386978518726096495563795777288325514258601419712074425667892044187016164590308410407262695171483435441173934224199836915031662312943764699934976654744892417896479784158007398205417074617807638485214001737324383156145381263949443417602853712025392737622184279546679454278398681083069024009270491909234669155584147441057129650073977120358400000000000000000000000000000000000000000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
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* Z2^2 + (
-5369237252666096591889064215546158090049950456257827634506304299370119591213367398895484382292374896262234111020925281237820244358406984559426543924943198801421672467882902883525433043357578558816837314354284813047071358557454096489970492436339021754753316958474936472898548109293797115540252876778056393066344330623029687395466425793737665178502081016441562162017022090572310261563147825456659155200782361134366720000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 +
3888390156942774560443031230696005677875360121044853047870492444699449431162419583442109059567041891343537157048263643088271277742879690661805241210210573693408485228041550623310606016419651058203902340829037070517884790385009976817444446268688585320771832001154306684172084204799492051052720155069716233676530815838473493127191135181717656207351190873637847155025761191068320250888403596350497209761411615326501178198791211859312640000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
852877016817547107174761735281240761839897327409149775628963965162056180695776468607996861729238904574094920162862572269563382379352937154997050012075631468350620624311263729448249951215791031664245452209582791857804781068691676758378074952545251705968340297998024215644371442967623114722769712319482495543898545758638758719100497650596473939042618931843620476025593702280651879601185080717537244717601498561937222415079553734795891937438638224179200000000000000000000000000000000000000000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
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* Z2 -
153289064040338143210165370002620515305612522214927154552064643033522633809564452636755792517733543973788308692689665823557165602470512362891199740369694358076515334523755130566556337966646603893708894570132054184448655525219709382234508677336410655020222327311500538253668503102062770691839332639093629247732842366139652294935875506943217950274582438775254994089844530233179271914033123548970320583297774356997223382167479957906951471726993120920476064000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^3 -
105408820372676535626646328832597822311049651220778930364197493278248299271644326576594508877523454665892000506154101787403944043383875920967149499323135010466724570193443536042847269360845112542748682087966788012395632081142246793920097303833123255820441391848128620776076797092400610808834082832934257181682586152688579241295228896260989029159879611629124365249711599173016596246621573730620164638505839237645072255442263057604253854738473811564169563527153274843035680000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1)^2 -
16949784668128464617646875557784868910214543226867994016349144677363701837540402385802712371434481057565525415720507423635656515843203819746482142886219967909440613452576557395755174553232600241305476555193902815980528529148500102444571585020199963423298328493390724243425951733597719974663691646111732536799559518314685488655117326298145148233323258695766198577746103622558773506144313387286199730734937993778335991400029743853953674057287329334592099060050278350767485152243706495327162861440000000000
* RootOf(25706476224546237 * Z1^4 +
17677679572729936068363118161351410957158099981344731319368570868203870183428555651497605319946557086243,
Z1) +
3300804159371495194421288273690353857914634453324264934951668909715184354100314877284918329134959256123105906272565205067721725217298107457819990586248633981443395561110626900536705412606218329007502019060581203571764841907155412994400172483933955230798128249964351305832298818732392077104691137446557293562611137186633995485428995999236159355407304524568342094757268565623131893253587006998658305651911657715613329172877852890396352018867375288723232829555878865669220495881459453249971406946522785495031804548387530072441,
Z2) -
186695117811795626489456753066346428139909385444289029328257441771926529013032351600449237275539211732370772429333418223
/
20850681508963527309922427270514431567138326138741896366585127152304917254263275520000000000000000000000000000000000000

[sachin gupta]

we need real values of the variables

[sachin gupta]

Thanks Walter Roberson i have got the mistake which i have done in making these equation so that answer become imaginary thanks again for help