Starting with polynomial:
P : t
Extension levels are: 1 10 12 24
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P2 : t^11 - 55/21*t^9 + 330/133*t^7 - 330/323*t^5 + 55/323*t^3 - 33/4199*t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P3 : t^23 - 3013/525*t^21 + 510163/35625*t^19 - 1412064599/69328125*t^17 + 172465288538/9481640625*t^15 - 119660941144034/11298955078125*t^13 + 7640345597881498/1890402099609375*t^11 - 306400099580342/309338525390625*t^9 + 35679608200027/240596630859375*t^7 - 8055482927839/653047998046875*t^5 + 15773922604559/33305447900390625*t^3 - 298379692913/55509079833984375*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^47 - 3503782688502276331574213077477125268654954842502769131373056845643448924043617512524217019309522743619965095432625686498313342017256516195752447973076557598450259417268506737128550542721009939249685751360705859003/292512387539007636517588005291288281543017818130439341932125757462633548240236014619802388403200205578224800822585277101250769949777774115098791416236503647962718485268059588942654503752059886527047206183465708775*t^45 + 3463664488816568119296301208887095012982346027056157549691691124528502996493143950898460347719038739611831944732101925757970451373735088915375157488689153506221867604236924846515789795263485494632984003856174547693059591/51547995494061620745311946232457277414918315000036673031988861608852597038635591676374675896353956228022665524960090457167916934399588243433284517326277855362230065066363801061419289923706753503228893909681244528874375*t^43 - 12332280987157387492647475175979201772154136286793833308006298136195086995423640729491108950552110483369537979275937176711462949505952154169576212472234511393934461112912497897775809232124857657698724842705692292684332169745569/52582821503604907781774083553073857259022800173662409243106038005650312924186201179277897514973261899300220535373664273095562866857659977420207704011602883308626833622571054367727282168925166579806213954918095512791528078125*t^41 + 754920900731891192593472401406601670900268159261196298332378015035935439595027136619780127339180927973375717496744013255017999854444829600728068957622096069182601139512206311528758425324911931467867347711935670627973042316668169179/1322577467228171623683849506095155405194557567095277007030578460473936393481747019206973844995929748726262592420409869341701350562531188568430542409764566158128575381138622406108267799462488223951625840543360370545599639183203125*t^39 - 199121766575281935227691658832291930404380615211594444028341575878176854502691254114515659337348741102005245356324324141205038146925828200802740366555545987822767928395918364941101997095273391795255743397983175189282285414748927507597/193552638113362543173615987661001543947332181968183082461638748382223732437898942430728189889024221999267376463864075908047229811855806982017393706458235486006828063818678512940698255447653612891166296254956685806453982283974609375*t^37 + 19775549894641049887270977560297520868423158204515774739176508425535153737434029573329506743492557006405076119295109199315454770602288023964110356840068138407725933431552311153159144553962491021144143204227714810651000483877138870629299111/13892240600586596536286287514368385816819767360766340743684121165134108395730196592965515829284713533997415945693844048300089919745950546134298433281039852008140084280585650266318617284755338065263460913699516123758234578432277587890625*t^35 - 325072853139079269415763179683589208155228241975065656782619609735966459734941564269680250002882199827216771230577894496576962825984023459113164558927219258463349112940854958363633345218084641612394094486205203387262996355161972941683401/210134731773578771137103508620698272859458665961171540660768219304549538758944150145696878090020876984834863044108565436471948365905134311275102352150182635417244972311379583860281605987895869894741425585370832124074136480488232421875*t^33 + 127327775601034883104092863351825895735184587761742203834591594369615518499229727433871424818284748627885487504382944265785138137111112978427602276861095217916112611182641119852665735793486292589780888054435268089250188913625395190602/95040584248565703815967213306512108936887682479046377503739583584147235983240230730753902347363580725841186360971761843723178817686627911024469630099585090645520114116408676553723023965579317003501323195554424298540993433056640625*t^31 - 992879497154664906550087730258619200007650446823370534134312778750989409363585673117430642743895428094570701639321493483735004012758741379767094662000420200259302346597513743194420623814128950456136153589053481258043316870984507656958/1064398801305784231299644538467946463431008971810786263011089353981989132609954372905422736259769838099670060740619233082635835497786604082705130549414414842156132890940072538881725010335916163156514819014141778287765554020068359375*t^29 + 687200886208840771291753226964448688895048934731607886250552259687280935948145750793628756688653620295508630169450305706529616845450647364038243605326134061209313776646241786608619633789716257612718590639053478178012104862637275802182/1310086913077984954639745459381026294539644399505323838146653962079168890172280223934964367148724452383056253508334298846959941087704975749930523104099797015433551320375923202325219594002475277523395086879474996639902852907177734375*t^27 - 36960949882433190826787210466940978570784050679822120966420660837249015509596763077726382786783187413903812579494196883728429984669596623258747835665844595660556215331866393422647477883967876126422503784381823744478615392155035895164311646/155005359207697860250710076147887202013077544987471473843354968438141458294233653732317040514696053443798306293567291705668522763016050696548863045733982483505123279194944716503853402967354718895879607102454120292258698454403302490234375*t^25 + 1620149639665786744845377559903445846286435089799378178145094456504153208091976794237114863082171984068478952038582524245848415845413394823529542068952485283283723134469775539320747380366901447689202499930713994490648709047847905890119392442/18532440746872356171574896704241393872683551278702089412711520026464192753658575640235825363937060149740525500458905396329728581546199021279382065747954945727872539260547590305200712858776930191191365825169414622142449987208458845732421875*t^23 - 1429234203995943421031847195656539530645945626763035281040509474584577555076219190894734304704741751437034504459977629669323831341424307077241896013873530174261160928155806191817437300799614617306118779057665522483554699464542997892832312502/55597322240617068514724690112724181618050653836106268238134560079392578260975726920707476091811180449221576501376716188989185744638597063838146197243864837183617617781642770915602138576330790573574097475508243866427349961625376537197265625*t^21 + 15907004060258172968039994404588720861022031319969875301948023725413780569616833894964966925090006624374597218479690040064109148748417899102994024404901358670272853736704372738215463322899285687655349417530717685125637933351018122111680262/2647491535267479453082128100605913410383364468386012773244502860923456107665510805747975051991008592820075071494129342332818368792314145897054580821136420818267505608649655757885816122682418598741623689309916374591778569601208406533203125*t^19 - 17056838168433003028924419785786259352876386406205540374995603569983103449049635859482001624297198436395320180448631247490993633850352382625501465546053464399674280712675808579220377539058003891141102633155415527703960981874718387029114/15482406638991107912760983044479025791715581686467910954646215560955883670558542723672368725093617501871784043825317791419990460773766935070494624685008308878757342740641261742022316506914728647611834440408867687671219705270224599609375*t^17 + 2126196317831464881467606915821666155506625352274403410708991539381689224322964222715321992330600773696064627357688962807227847809538664459800267778751181583610725522734493723275539738080604982226313298901943985010236837926001061344773/13660947034403918746553808568657963933866689723354039077629013730255191474022243579710913580964956619298632979845868639488226877153323766238671727663242625481256478888801113301784396917865937042010442153301942077356958563473727587890625*t^15 - 922535994761672966223020929970826459947596377053920632498796579641135854797574618396669572471628780124608829783432895375267260307339709073877593876283464277265686753673627158564670437387773063721639180973414345974414868001945832771493/55814726454850296593062703580516824072655332298275073945741398955042639451005166625676018345085394187420129031941691869909041240940722816346573058738391298394847899459958834347290535978709399914499806512062220487487002130764087001953125*t^13 + 345004190462944024999962201656108288674157219097372425532460424009764719025991089215495758877089236087833011965928015563812800237655908252147880603461918725976403745195132331048966630050396859967247079126808849137881493376691748242051/270486751281197591181765409659427685890560456522409973737054471859052791185640422878276088903106141062112933000948199061866892167635810571525700207732203984528878281998262043375331058973745553431806754635378453131667779556779806240234375*t^11 - 35212424518209244008508489172281232732482127813099976342625484551813268391418749283389586848307856981163303151297959166415040512229096112330870210027815649724119957899836744419495295385585809192584642364929269439609662445127103531281/516383797900468128619733963895271036700160871542782677134376719003646237718040807313072533360475360209488326638173834572654975956395638363821791305670571243191494901996682082807450203495332420187994713394813410524093033699306902822265625*t^9 + 12279941025871456393278338626474152413328619356298182016132019265736744348234859043491674878955626322397325061677679680087157067100730841289297563575320524438006126932695751898832216174679697122703153535230418809530560985448527961/5215997958590587157775090544396677138385463348916996738731077969733800380990311184980530640004801618277659865032058935077322989458541801654765568744147184274661564666633152351590406095912448688767623367624377884081747815144514169921875*t^7 - 19274711775901331237320822257614203897275858171247330460544177569457485374819608742163770318786295479450632630067692574165358073495129027154882435842716434543009017112634781632180686390505316145695016573119675660850368082915864620113/410361187966459315227729855593916578609421492599831979852897943443135696688154174890936133058606331887111636081590048061586847162808692614043460027276145226831463369340696642472301499015774882804951671843037038061725678288187303012646484375*t^5 + 3169013541977967783358858453834809688294535116899514044709797797101988625959647658900555437013827253260477396010196737337652888389146376679119143046690990179415254837226170670581994646517564949394248731412342478883714460659729459503/7140284670616392084962499487334148467803933971237076449440424215910561122373882643102288715219750174835742467819666836271611140632871251484356204474604926946867462626528121579018046082874482960806159090068844462274026802214459072420048828125*t^3 - 2990186883139381433360794958225224392050134763184555130163204803291075603723428071930842771768677679186490270926391395590776789733660033298397965941957660405203730220936914224005004422471838697829633767555864147034862456373895337/2380094890205464028320833162444716155934644657079025483146808071970187040791294214367429571739916724945247489273222278757203713544290417161452068158201642315622487542176040526339348694291494320268719696689614820758008934071486357473349609375*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (0.98950709931649198565 + 1.6186230049901971002e-912j)  +/-  (3.94e-238, 3.94e-238j)
| (-0.96228868915448269029 + 1.3924009455966743927e-925j)  +/-  (1.59e-238, 1.59e-238j)
| (-0.91653054694091417155 - 4.1137861799925875633e-929j)  +/-  (2.95e-239, 2.95e-239j)
| (-4.6117046118832599642e-960 - 7.4660044073375959621e-960j)  +/-  (4.12e-958, 4.12e-958j)
| (0.96228868915448269029 + 4.0449490954843371687e-924j)  +/-  (1.56e-238, 1.56e-238j)
| (0.94167710857806794646 + 1.4064195300303680549e-937j)  +/-  (7.67e-239, 7.67e-239j)
| (-0.9782286581460569928 + 1.2280336080919275908e-946j)  +/-  (2.54e-238, 2.54e-238j)
| (-0.88706259976809529908 - 2.9420586277037859656e-949j)  +/-  (1.04e-239, 1.04e-239j)
| (-0.98950709931649198565 + 8.4115073209153772494e-947j)  +/-  (3.69e-238, 3.69e-238j)
| (0.99944357775422792308 - 6.4170042213507313906e-956j)  +/-  (1.72e-238, 1.72e-238j)
| (0.88706259976809529908 - 7.7366356776444431491e-981j)  +/-  (1.07e-239, 1.07e-239j)
| (-0.73015200557404932409 + 1.3864081816130683112e-994j)  +/-  (3.77e-242, 3.77e-242j)
| (-0.94167710857806794646 + 8.9921614743048961704e-990j)  +/-  (7.28e-239, 7.28e-239j)
| (-0.85350341576526787086 + 1.3591395998086794434e-992j)  +/-  (3.23e-240, 3.23e-240j)
| (0.99636961388954263436 + 1.116318552752083777e-987j)  +/-  (3.86e-238, 3.86e-238j)
| (0.85350341576526787086 + 9.388618872037112291e-1009j)  +/-  (3.49e-240, 3.49e-240j)
| (0.81605745665622094239 + 1.7388786923205775273e-1009j)  +/-  (8.67e-241, 8.67e-241j)
| (0.91653054694091417155 + 8.4774497216273477312e-1007j)  +/-  (3.06e-239, 3.06e-239j)
| (-0.77489165040461596978 - 1.9088227241696479711e-1014j)  +/-  (1.9e-241, 1.9e-241j)
| (-0.99944357775422792308 - 4.1883322230126161937e-1010j)  +/-  (1.79e-238, 1.79e-238j)
| (0.3345087466213200632 + 3.7582149485659860512e-1025j)  +/-  (3.54e-249, 3.54e-249j)
| (0.73015200557404932409 + 2.9708200750547883117e-1017j)  +/-  (3.6e-242, 3.6e-242j)
| (0.9782286581460569928 + 6.7141312854272594321e-1015j)  +/-  (2.81e-238, 2.81e-238j)
| (-0.68199231742316056747 - 9.2752234399111907503e-1033j)  +/-  (5.78e-243, 5.78e-243j)
| (-0.99636961388954263436 - 4.7170078152724265977e-1031j)  +/-  (3.73e-238, 3.73e-238j)
| (0.20331801386618181017 + 9.873244224218758221e-1049j)  +/-  (9.8e-252, 9.8e-252j)
| (0.77489165040461596978 - 1.0485847362406427648e-1037j)  +/-  (2e-241, 2e-241j)
| (0.51909612920681181593 - 8.7752600302088851884e-1043j)  +/-  (8.86e-246, 8.86e-246j)
| (-0.81605745665622094239 + 7.9209884695415786987e-1041j)  +/-  (8.93e-241, 8.93e-241j)
| (-0.63059952016196509217 + 4.673804465412960406e-1045j)  +/-  (7.96e-244, 7.96e-244j)
| (-0.20331801386618181017 - 4.0535497149631151652e-1053j)  +/-  (1.04e-251, 1.04e-251j)
| (0.68199231742316056747 - 6.4743079967307822379e-1043j)  +/-  (6.1e-243, 6.1e-243j)
| (0.63059952016196509217 + 8.298405215429613039e-1046j)  +/-  (8.01e-244, 8.01e-244j)
| (0.1361130007993618158 + 4.1787805822853784665e-1058j)  +/-  (4.73e-253, 4.73e-253j)
| (-0.51909612920681181593 - 1.1660841948172903454e-1048j)  +/-  (8.24e-246, 8.24e-246j)
| (-0.45957165689137468432 - 1.9133430405524921978e-1050j)  +/-  (7.59e-247, 7.59e-247j)
| (0.068230497773974447648 + 2.827766758381718068e-1059j)  +/-  (2.49e-254, 2.49e-254j)
| (0.57620769176374835545 - 6.783068653491279054e-1050j)  +/-  (8.88e-245, 8.88e-245j)
| (0.26954315595234497233 - 3.3218832566782567848e-1056j)  +/-  (1.99e-250, 1.99e-250j)
| (-0.26954315595234497233 + 1.0088488027173473704e-1054j)  +/-  (2.01e-250, 2.01e-250j)
| (-0.57620769176374835545 + 3.3772267703901218925e-1051j)  +/-  (8.08e-245, 8.08e-245j)
| (-0.068230497773974447648 - 2.4865550332813559297e-1062j)  +/-  (2.49e-254, 2.49e-254j)
| (0.45957165689137468432 - 3.5850442357062220773e-1053j)  +/-  (7.27e-247, 7.27e-247j)
| (0.39794414095237757368 - 2.2848522590805388119e-1055j)  +/-  (5.31e-248, 5.31e-248j)
| (-0.1361130007993618158 + 1.7861970989228918824e-1061j)  +/-  (4.39e-253, 4.39e-253j)
| (-0.39794414095237757368 - 7.1412112297451401285e-1055j)  +/-  (5.29e-248, 5.29e-248j)
| (-0.3345087466213200632 + 2.028513539667757316e-1056j)  +/-  (3.59e-249, 3.59e-249j)
-------------------------------------------------
The weights are:
| (0.0090042391091725916068 + 2.7444493285493583699e-913j)  +/-  (1.69e-66, 4.55e-181j)
| (0.018288811794302708813 - 7.4248385500379224585e-915j)  +/-  (6.68e-67, 1.8e-181j)
| (0.027346051759201907593 - 7.288972131634459281e-915j)  +/-  (5.61e-67, 1.51e-181j)
| (0.068289198387063190261 + 1.4251384012052986167e-914j)  +/-  (2.24e-68, 6.06e-183j)
| (0.018288811794302708813 - 5.3242524179947503633e-913j)  +/-  (1.96e-67, 5.28e-182j)
| (0.022910437768141900845 + 2.9471764599126595998e-913j)  +/-  (1.34e-67, 3.61e-182j)
| (0.013591400909409251508 + 7.5641065956757410198e-915j)  +/-  (5.12e-68, 1.38e-182j)
| (0.031550742276134002416 + 7.3951375340293385472e-915j)  +/-  (2.11e-68, 5.7e-183j)
| (0.0090042391091725916068 - 7.3645093475671952216e-915j)  +/-  (1.53e-68, 4.12e-183j)
| (0.0015415470060726699496 + 4.8134995049725954344e-913j)  +/-  (1.42e-69, 3.84e-184j)
| (0.031550742276134002416 + 1.354635053925155167e-913j)  +/-  (1.56e-70, 4.2e-185j)
| (0.046477365771794112755 + 8.2620555677925499107e-915j)  +/-  (8.29e-71, 2.24e-185j)
| (0.022910437768141900845 + 7.2993255745678304914e-915j)  +/-  (1.42e-68, 3.84e-183j)
| (0.035533355705798130962 - 7.5822814364036168139e-915j)  +/-  (1.42e-69, 3.82e-184j)
| (0.0048202232817304776062 - 1.7251457816439297863e-912j)  +/-  (1.59e-69, 4.28e-184j)
| (0.035533355705798130962 - 1.0274886716870458959e-913j)  +/-  (8.73e-72, 2.36e-186j)
| (0.039331066171099069544 + 8.127487686893018568e-914j)  +/-  (1.29e-72, 3.48e-187j)
| (0.027346051759201907593 - 1.9037697497763073696e-913j)  +/-  (5.18e-71, 1.4e-185j)
| (0.042976729254619912067 - 8.0385867438473043939e-915j)  +/-  (5.73e-73, 1.55e-187j)
| (0.0015415470060726699496 - 2.4047471158151900505e-915j)  +/-  (2.52e-72, 6.8e-187j)
| (0.064245683191713272923 - 2.1624949688043616104e-914j)  +/-  (6.13e-77, 1.65e-191j)
| (0.046477365771794112755 + 5.4781723687296938601e-914j)  +/-  (5.67e-75, 1.53e-189j)
| (0.013591400909409251508 + 1.3197003731448953482e-912j)  +/-  (1.61e-71, 4.36e-186j)
| (0.049811100280970895985 - 8.4838909715966776801e-915j)  +/-  (1.75e-75, 4.72e-190j)
| (0.0048202232817304776062 + 5.9615171418299102584e-915j)  +/-  (3.84e-72, 1.04e-186j)
| (0.066763237591153033486 - 1.8016165037051523147e-914j)  +/-  (8.9e-78, 2.4e-192j)
| (0.042976729254619912067 - 6.60869125326817632e-914j)  +/-  (1.45e-74, 3.91e-189j)
| (0.058370205019694058276 + 2.9931788489666402555e-914j)  +/-  (9.58e-78, 2.59e-192j)
| (0.039331066171099069544 + 7.8075847819998399151e-915j)  +/-  (2e-74, 5.41e-189j)
| (0.052935451623906118394 + 8.7225749674773370246e-915j)  +/-  (6.14e-77, 1.66e-191j)
| (0.066763237591153033486 - 1.1874424974173986716e-914j)  +/-  (1.48e-79, 3.98e-194j)
| (0.049811100280970895985 - 4.611426716926346522e-914j)  +/-  (1.06e-76, 2.85e-191j)
| (0.052935451623906118394 + 3.9373650110740859332e-914j)  +/-  (1.97e-77, 5.31e-192j)
| (0.067596476489493533532 + 1.6566583067275990206e-914j)  +/-  (8.99e-80, 2.43e-194j)
| (0.058370205019694058276 + 9.3332967836171534809e-915j)  +/-  (4.73e-80, 1.28e-194j)
| (0.060626777812598399502 - 9.7296135849178745205e-915j)  +/-  (1.36e-80, 3.67e-195j)
| (0.068113462843074843259 - 1.5318187041680227557e-914j)  +/-  (1.78e-80, 4.82e-195j)
| (0.055801337389087071379 - 3.4095117109536065809e-914j)  +/-  (1.35e-79, 3.64e-194j)
| (0.065640677724203495137 + 1.9689487231195737277e-914j)  +/-  (1.74e-80, 4.7e-195j)
| (0.065640677724203495137 + 1.1259058810768866638e-914j)  +/-  (1.78e-82, 4.8e-197j)
| (0.055801337389087071379 - 9.0000374155482652393e-915j)  +/-  (3.89e-81, 1.05e-195j)
| (0.068113462843074843259 - 1.3341954884055978657e-914j)  +/-  (3.3e-82, 8.92e-197j)
| (0.060626777812598399502 - 2.6605082852175811236e-914j)  +/-  (9.89e-82, 2.67e-196j)
| (0.062579020033096947332 + 2.3892034724940472917e-914j)  +/-  (7.48e-82, 2.02e-196j)
| (0.067596476489493533532 + 1.256003177337538333e-914j)  +/-  (4.01e-83, 1.08e-197j)
| (0.062579020033096947332 + 1.0186767169185683046e-914j)  +/-  (4.93e-84, 1.34e-198j)
| (0.064245683191713272923 - 1.0697988597520319222e-914j)  +/-  (5.07e-84, 1.36e-198j)
