Starting with polynomial:
P : 34461632205/262144*t^20 - 83945001525/131072*t^18 + 347123925225/262144*t^16 - 49589132175/32768*t^14 + 136745788725/131072*t^12 - 29113619535/65536*t^10 + 15058768725/131072*t^8 - 557732175/32768*t^6 + 334639305/262144*t^4 - 4849845/131072*t^2 + 46189/262144
Extension levels are: 20 43
-------------------------------------------------
Trying to find an order 43 Kronrod extension for:
P1 : 34461632205/262144*t^20 - 83945001525/131072*t^18 + 347123925225/262144*t^16 - 49589132175/32768*t^14 + 136745788725/131072*t^12 - 29113619535/65536*t^10 + 15058768725/131072*t^8 - 557732175/32768*t^6 + 334639305/262144*t^4 - 4849845/131072*t^2 + 46189/262144
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 34461632205/262144*t^63 - 16195662973200663367716832294850483552910115687039212983425717231050326989311076088797428416028322589396848995281186724798099/7889115853174195421459346681915242172956425858072055780318603726838018913980410986973997534281532854948985629436280832*t^61 + 226236706499809416646617176582064039529097813168383762113182790282442700438396634402283026425246398246598025007982468787466667175/14829565525004193843488206925330176474614841506710946853053895355523766053554677552764371865065711384090355736932848893952*t^59 - 30537682424987311397222013353044726855388037528961781712326571667686078026645657049661512097011919317106389125050348775127674018299905/425371257519220296206615727446170781997852113778496799532997934377843705480162370923493242577544865341247763958181837674119168*t^57 + 51078264988878390118201971004711841860182930546434210652267388500237917391821968354108392807716965392898849457797238800909680847816577/212685628759610148103307863723085390998926056889248399766498967188921852740081185461746621288772432670623881979090918837059584*t^55 - 353213656411229114617918009989889411272268416705899492321071972289021368458406675513688164125743336737826218758541835058214865294033589/581141013793864348338615852989838955687206408964988585277476051192265344106700703937730204648195097719732860618924482456190976*t^53 + 15591271916903128839706419437738598190199786188626210330905366143322420211633984156290455248974953496233944144620312052279874437050430093/12894066243551365228763039238212051829309892198910684235843999885828387322367421868618388915631828730656572844982386954496737280*t^51 - 69715160832050372897369130123427294776153286655318635856244439727179488115990762963147099885290587183798636270051352197261481344408664243915/35938341434026365165608342964744630858652531536803859102144396481780881144902478232213173585649033038085999833534908919573306146816*t^49 + 596680076356519240610367470810065203716562697776839624675126996670606903630728155854812800456981817785099194070651763040983119163680842062865/233599219321171373576454229270840100581241454989225084163938577131575727441866108509385628306718714747558998917976907977226489954304*t^47 - 116234565735177794322389811434415409462059843942008232430889618633329011474174834403269177414691629801373521675421598754570684654053461911074001/41580661039168504496608852810209537903460978988082064981181066729420479484652167314670641838595931225065501807399889619946315211866112*t^45 + 19014441276190050783132496908138432204445328980424962066922252915034772154624555633754903682905269744285364147140189874513493417200138841072267317/7411752830231785926520528013419850131291919504625628082895525144519200468139248823840041907729724740867925697169030324755430686515134464*t^43 - 294487645314459608622121169701016641691875629593039925521198106389387689865227923829505823991038796851557225195871512642130793665662816203551108267/148235056604635718530410560268397002625838390092512561657910502890384009362784976476800838154594494817358513943380606495108613730302689280*t^41 + 1390279809981284891954211628350868448789440603272723166448266196511197931467614243790534716493512893899175816863685640337218179059110052112865797/1066703881274053557663004031708067760831095114809643743940298904173979223702422907649435311782441774119949604059066399096315086396719104*t^39 - 144051909310070502268542213089501393611024069322182463733317894438105949969197479046931671438699928734809265780758718198246373434637139693747981799/198406921916973961725318749897700603514583691354593736372895596176360135608650660822794967991534169986310626354986350231914606069789753344*t^37 + 2840925872290593913415529085615913766203592217694072703205050326444592612874992348206622047837817124881996144000280396558157543613875121592292415/8266955079873915071888281245737525146440987139774739015537316507348338983693777534283123666313923749429609431457764592996441919574573056*t^35 - 9132745438810475438831802726766274318798739607310133885419585109778416903472931870290704344477168981895385735256686684992030042417495853166479731/66135640638991320575106249965900201171527897118197912124298532058786711869550220274264989330511389995436875451662116743971535356596584448*t^33 + 38859219083905802482544633176466172586881619030428241847751828260791235335202394144107422866874383838382191535310727363858419658531622457876833883/826695507987391507188828124573752514644098713977473901553731650734833898369377753428312366631392374942960943145776459299644191957457305600*t^31 - 1485022221215311303790562755490297435160807629987731471491479681491822641624699058347054627006143173675062242477384427115235470359941243042189/109969472296294181202371549660625542353721145856664303498999887028245280794064217283446939359014615888654598356604783411991246020280320*t^29 + 1552349575571350355931655023540824635649410067035758101744714575436919554974351125178052624571790110553048638686673102806129020216695901506751673/476614329020984447359254301408872000378238446556757200417462863821873647969798097443708898359344458212387827399839754010017335585706475520*t^27 - 174515132921994233800214671347444906107814196794447608593513936919931126524002566093752880462719759415517214253436850213254343468498873554462863669/266464072563424227954389250972283207596079771505731640971855391865952128726499428632375097944285809406741133041695025549600461156685743390720*t^25 + 2525300061296875821268510149030372619035338928859019984104631429724157357999975079276595414355141392973751014919768619884615529626466497183039587887/23209020720274250254827303759685867381618548098149225928648604631524430412078100233879871030947293999327152687931636725370200166747328249331712*t^23 - 160758739879104024059407231533095613342111674743125377595870583977213881206124522295028586921645937208035934381707666965885578926545384231022697025097/10888057981380833054329852502913500393376701477349136859570367129310808875927073979285382974953100097945216413164450446380193904313203122186485760*t^21 + 187934061819689675616433936349005158722876632806003067809236957151904521866057772077106806043461048863859831065136385531981774417230686734068523/116524593122654463338290373532892769620897918207931687281360949585946156634493514333105554098385060979721922229927765907322280654036848482304*t^19 - 303180091259376829072292470314197498890656528149273561091529483017959810851403653589806456275605410979067565745665711613128538201653619305088063163/2177611596276166610865970500582700078675340295469827371914073425862161775185414795857076594990620019589043282632890089276038780862640624437297152*t^17 + 10098072415964098198063023298851616518468613535355601940203913560354591453544360181513644439647532176470474519930315564265904558960334358016497301/1088805798138083305432985250291350039337670147734913685957036712931080887592707397928538297495310009794521641316445044638019390431320312218648576*t^15 - 77403797616969853808995903726652934475759538120452257969440525325129131471232732899856065346615673407574749235073807530761252367506717521061561/167508584328935893143536192352515390667333868882294413224159494297089367321954984296698199614663078429926406356376160713541444681741586495176704*t^13 + 3456548772917854072059498658441210855799994036489464993597208437783960442664709669365150709486716332951016126382809712825463146575660160781357/209385730411169866429420240440644238334167336102868016530199367871361709152443730370872749518328848037408007945470200891926805852176983118970880*t^11 - 66740584194041099850192217055822722836043789731605533111824847598433119415612449045296768556542332564225429113177457794927812033373601997743/167508584328935893143536192352515390667333868882294413224159494297089367321954984296698199614663078429926406356376160713541444681741586495176704*t^9 + 497670874656135840924963815721479730486242388864149288995191139515923772869542049580485593696786215606278571640059655339732264873467107683/83754292164467946571768096176257695333666934441147206612079747148544683660977492148349099807331539214963203178188080356770722340870793247588352*t^7 - 7914217093607579845211012752328304803332921615105218256339599812332123634334580279269838141527323464157972546248519019326839635906887101/167508584328935893143536192352515390667333868882294413224159494297089367321954984296698199614663078429926406356376160713541444681741586495176704*t^5 + 44197854734371793682776952647694861373108384034904004840655468912590114321648529832870225263326608380786408290062529460419739919927/294909479452351924548479211888231321597418783243476079619999109677974238242878493480102464110322321179447898514746761819615219510108426928128*t^3 - 198962485822464328607445025130974272654154152501696888025022550185532016624892741382531879908630800587240883186759970666525697083981/2512628764934038397153042885287730860010008033234416198362392414456340509829324764450472994219946176448896095345642410703121670226123797427650560*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: 0
  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:
| (0.99973135067313526667 - 1.5450093967974831875e-794j)  +/-  (3.62e-233, 3.62e-233j)
| (0.98597171656850594065 - 5.0811066107635756601e-817j)  +/-  (7.79e-233, 7.79e-233j)
| (-0.94918637573698775487 + 3.7689411352623134928e-833j)  +/-  (2.18e-233, 2.18e-233j)
| (-0.99769967766825752445 + 2.8321182251853160286e-831j)  +/-  (8.34e-233, 8.34e-233j)
| (0.93192576495989231555 + 5.4927303969780746644e-832j)  +/-  (1.1e-233, 1.1e-233j)
| (0.91223442825132590587 - 9.1553113120143400783e-843j)  +/-  (4.53e-234, 4.53e-234j)
| (0.99312859918509492479 + 1.626977417878800659e-855j)  +/-  (9.13e-233, 9.13e-233j)
| (-0.8901632007564928866 - 9.8566158673687503405e-879j)  +/-  (1.68e-234, 1.68e-234j)
| (0.99769967766825752445 + 1.9333412759931554326e-874j)  +/-  (7.78e-233, 7.78e-233j)
| (-0.99973135067313526667 - 3.7308492675406487229e-884j)  +/-  (3.47e-233, 3.47e-233j)
| (0.86576946965785733799 - 6.402589835160448347e-888j)  +/-  (5.84e-235, 5.84e-235j)
| (0.97624435723835649647 - 8.5137920590462422811e-885j)  +/-  (6.21e-233, 6.21e-233j)
| (-0.93192576495989231555 + 2.0786724265056080672e-891j)  +/-  (1.06e-233, 1.06e-233j)
| (-0.86576946965785733799 - 5.6750986536085781024e-894j)  +/-  (5.51e-235, 5.51e-235j)
| (-0.97624435723835649647 + 1.4675489064960292162e-890j)  +/-  (5.65e-233, 5.65e-233j)
| (0.83911697182221882339 - 2.4465323903878655778e-895j)  +/-  (1.64e-235, 1.64e-235j)
| (0.94918637573698775487 - 1.119145781234553449e-892j)  +/-  (2.14e-233, 2.14e-233j)
| (-0.96397192727791379127 + 3.3500012782102555297e-893j)  +/-  (3.94e-233, 3.94e-233j)
| (-0.77932017451622005682 + 4.7650944179732178362e-899j)  +/-  (1.14e-236, 1.14e-236j)
| (-0.98597171656850594065 + 3.4077579331383273854e-895j)  +/-  (8.72e-233, 8.72e-233j)
| (0.96397192727791379127 - 6.7902434099833787155e-897j)  +/-  (4.1e-233, 4.1e-233j)
| (0.74633190646015079261 + 8.2386459959212963503e-910j)  +/-  (2.06e-237, 2.06e-237j)
| (-0.99312859918509492479 + 5.2546098596681752696e-907j)  +/-  (8.73e-233, 8.73e-233j)
| (-0.83911697182221882339 + 3.7603722986206503173e-911j)  +/-  (1.72e-235, 1.72e-235j)
| (-0.81027542814244235973 - 7.8917619966632596646e-913j)  +/-  (4.63e-236, 4.63e-236j)
| (0.8901632007564928866 - 7.5435411761369339941e-911j)  +/-  (1.71e-234, 1.71e-234j)
| (0.77932017451622005682 - 9.3012226333202489566e-915j)  +/-  (1.1e-236, 1.1e-236j)
| (0.81027542814244235973 - 1.195828329431522307e-915j)  +/-  (4.38e-236, 4.38e-236j)
| (-0.55407764280573161112 + 1.1344872340620858341e-920j)  +/-  (1.13e-241, 1.13e-241j)
| (-0.63605368072651502545 - 4.4120855601140040117e-919j)  +/-  (8.7e-240, 8.7e-240j)
| (-0.91223442825132590587 + 1.1542008313477630541e-917j)  +/-  (4.74e-234, 4.74e-234j)
| (0.71139654476670693649 - 6.4457955533131688114e-922j)  +/-  (3.84e-238, 3.84e-238j)
| (0.59584285387539592787 - 2.564547704215560767e-924j)  +/-  (1.09e-240, 1.09e-240j)
| (-0.076526521133497333755 - 8.6441991480210836656e-938j)  +/-  (1.06e-253, 1.06e-253j)
| (-0.67460513558660582526 + 8.0227367118434057967e-923j)  +/-  (6.1e-239, 6.1e-239j)
| (-0.71139654476670693649 + 2.312722912994158695e-920j)  +/-  (3.96e-238, 3.96e-238j)
| (0.22778585114164507808 - 3.6681738298726215639e-934j)  +/-  (9.97e-250, 9.97e-250j)
| (0.63605368072651502545 - 7.3188904374026270475e-923j)  +/-  (9.14e-240, 9.14e-240j)
| (0.67460513558660582526 + 1.1296683994784172865e-923j)  +/-  (6.21e-239, 6.21e-239j)
| (-0.74633190646015079261 - 1.0081690595386586136e-926j)  +/-  (2.13e-237, 2.13e-237j)
| (-0.59584285387539592787 - 3.6472987389208871773e-932j)  +/-  (1.01e-240, 1.01e-240j)
| (-0.12732260412819990187 + 1.2137566725578629e-944j)  +/-  (2.05e-252, 2.05e-252j)
| (0.55407764280573161112 - 3.6301101158009313707e-932j)  +/-  (1.06e-241, 1.06e-241j)
| (0.510867001950827098 + 2.6539380385855804906e-935j)  +/-  (1.09e-242, 1.09e-242j)
| (0.076526521133497333755 - 2.9641183163281455231e-949j)  +/-  (1.01e-253, 1.01e-253j)
| (-0.46632357530958349872 + 1.5083426824781907521e-936j)  +/-  (8.88e-244, 8.88e-244j)
| (-0.510867001950827098 + 2.6690532666353520263e-938j)  +/-  (1.06e-242, 1.06e-242j)
| (0.025529804676983155944 + 3.545964981140866217e-950j)  +/-  (5.83e-255, 5.83e-255j)
| (0.46632357530958349872 + 9.3314806709822851108e-938j)  +/-  (8.59e-244, 8.59e-244j)
| (0.27719129861190245064 - 6.6984084443513009866e-943j)  +/-  (1.81e-248, 1.81e-248j)
| (-0.27719129861190245064 + 1.0674728174083862483e-943j)  +/-  (1.78e-248, 1.78e-248j)
| (-0.42056348069496932875 + 1.1185668108867808912e-940j)  +/-  (6.7e-245, 6.7e-245j)
| (-0.025529804676983155944 + 6.120294793915208341e-950j)  +/-  (5.83e-255, 5.83e-255j)
| (0.3258737276605365779 + 5.2765871620581971728e-942j)  +/-  (3.23e-247, 3.23e-247j)
| (0.37370608871541956067 + 3.1156675294529108371e-941j)  +/-  (4.74e-246, 4.74e-246j)
| (-5.4959582322641833045e-972 + 3.1995462929229216121e-971j)  +/-  (2.05e-969, 2.05e-969j)
| (-0.37370608871541956067 - 1.8852437245116680756e-941j)  +/-  (4.57e-246, 4.57e-246j)
| (-0.22778585114164507808 - 5.7036708457668262715e-945j)  +/-  (1.04e-249, 1.04e-249j)
| (0.12732260412819990187 - 2.2240259956062776148e-948j)  +/-  (2.02e-252, 2.02e-252j)
| (0.42056348069496932875 - 1.2573520762710381315e-939j)  +/-  (7.13e-245, 7.13e-245j)
| (0.17778619705217392832 - 2.9704594055273721301e-946j)  +/-  (5.2e-251, 5.2e-251j)
| (-0.17778619705217392832 + 2.1197751489257722069e-946j)  +/-  (5.3e-251, 5.3e-251j)
| (-0.3258737276605365779 - 7.6768240451755800896e-943j)  +/-  (3.18e-247, 3.18e-247j)
-------------------------------------------------
The weights are:
| (0.00087536549015034157277 + 1.2442708661046787182e-794j)  +/-  (7.96e-33, 2e-142j)
| (0.0084457446142462448666 - 4.3215841895664803332e-795j)  +/-  (3.18e-33, 8e-143j)
| (0.016029938557080620562 + 4.4096911169958286012e-797j)  +/-  (3.31e-35, 8.34e-145j)
| (0.0032791227576869921446 - 1.7493512703348687409e-797j)  +/-  (5.69e-36, 1.43e-145j)
| (0.018483898575987773567 - 1.3879165635508610097e-795j)  +/-  (5.82e-34, 1.46e-143j)
| (0.020890303319966483484 + 1.1690147818018143688e-795j)  +/-  (3.35e-34, 8.44e-144j)
| (0.0058651985664741278276 + 7.3718269633123419426e-795j)  +/-  (1.6e-33, 4.03e-143j)
| (0.023242583513676498284 - 5.8532763638380360327e-797j)  +/-  (1.11e-37, 2.8e-147j)
| (0.0032791227576869921446 - 1.7198675665061395448e-794j)  +/-  (2.08e-33, 5.24e-143j)
| (0.00087536549015034157277 + 6.7640566988515835875e-798j)  +/-  (1.22e-37, 3.06e-147j)
| (0.025534249346375897575 + 8.9021798158709153259e-796j)  +/-  (5.61e-37, 1.41e-146j)
| (0.011004706253324369345 + 2.9334608681572439423e-795j)  +/-  (1.36e-34, 3.42e-144j)
| (0.018483898575987773567 - 4.871904788435343641e-797j)  +/-  (4.61e-38, 1.16e-147j)
| (0.025534249346375897575 + 6.3926680721518833371e-797j)  +/-  (7.08e-39, 1.78e-148j)
| (0.011004706253324369345 + 3.4867926703619029905e-797j)  +/-  (1.14e-38, 2.88e-148j)
| (0.027759119717853235753 - 7.9897984473915295237e-796j)  +/-  (2.89e-39, 7.28e-149j)
| (0.016029938557080620562 + 1.7002926990790316989e-795j)  +/-  (6.83e-37, 1.72e-146j)
| (0.01353482444215926317 - 3.9523141921873227862e-797j)  +/-  (1.04e-38, 2.62e-148j)
| (0.03198564860953789837 - 8.3405437739609110329e-797j)  +/-  (1.5e-42, 3.78e-152j)
| (0.0084457446142462448666 - 2.9945774965935375648e-797j)  +/-  (4.3e-39, 1.08e-148j)
| (0.01353482444215926317 - 2.1703852013810217503e-795j)  +/-  (1.51e-38, 3.79e-148j)
| (0.033976565988624408215 + 6.3028202969643156288e-796j)  +/-  (4.91e-44, 1.24e-153j)
| (0.0058651985664741278276 + 2.4424366325917241848e-797j)  +/-  (4.88e-39, 1.23e-148j)
| (0.027759119717853235753 - 6.9786969326016792992e-797j)  +/-  (2.41e-42, 6.07e-152j)
| (0.029911407392686670612 + 7.6233504542861372803e-797j)  +/-  (5.52e-43, 1.39e-152j)
| (0.023242583513676498284 - 1.0096068169851523634e-795j)  +/-  (1.2e-41, 3.03e-151j)
| (0.03198564860953789837 - 6.7320801878984950717e-796j)  +/-  (1e-44, 2.52e-154j)
| (0.029911407392686670612 + 7.2831272916840687392e-796j)  +/-  (5.93e-44, 1.49e-153j)
| (0.042506400377132686772 - 1.5491993425950211368e-796j)  +/-  (5.68e-50, 1.43e-159j)
| (0.039398291688147098783 - 1.233995201040886764e-796j)  +/-  (3e-49, 7.54e-159j)
| (0.020890303319966483484 + 5.3497398750933857554e-797j)  +/-  (3.08e-44, 7.76e-154j)
| (0.035878980327432831496 - 5.9722735468691037009e-796j)  +/-  (5.21e-48, 1.31e-157j)
| (0.041005858098621599828 + 5.4431830368398560769e-796j)  +/-  (1e-50, 2.52e-160j)
| (0.050918298446696865874 - 1.7727030797166038864e-795j)  +/-  (2.98e-54, 7.5e-164j)
| (0.03768783288783605998 + 1.1116604919306978563e-796j)  +/-  (2.02e-49, 5.07e-159j)
| (0.035878980327432831496 - 1.0063621419215766878e-796j)  +/-  (4.4e-49, 1.11e-158j)
| (0.049724149658604048697 + 8.2054444209033098799e-796j)  +/-  (6.55e-55, 1.65e-164j)
| (0.039398291688147098783 - 5.5503844351454487499e-796j)  +/-  (4.68e-51, 1.18e-160j)
| (0.03768783288783605998 + 5.7248343431108844806e-796j)  +/-  (2.49e-50, 6.28e-160j)
| (0.033976565988624408215 + 9.147040656747283205e-797j)  +/-  (6.73e-50, 1.69e-159j)
| (0.041005858098621599828 + 1.3778356457989073054e-796j)  +/-  (3.45e-52, 8.69e-162j)
| (0.050651827961365846595 + 1.0147978385961619213e-795j)  +/-  (1.18e-56, 2.97e-166j)
| (0.042506400377132686772 - 5.4014133142406159718e-796j)  +/-  (6.47e-54, 1.63e-163j)
| (0.043896103921331672762 + 5.4273168717412180212e-796j)  +/-  (6.02e-55, 1.52e-164j)
| (0.050918298446696865874 - 2.0665897565464805997e-795j)  +/-  (4.04e-58, 1.02e-167j)
| (0.045171392898107045375 - 2.011299954570727843e-796j)  +/-  (6.52e-57, 1.64e-166j)
| (0.043896103921331672762 + 1.756404489124873072e-796j)  +/-  (5.36e-56, 1.35e-165j)
| (0.051054202217857230046 + 5.8783198120739380773e-795j)  +/-  (7.94e-59, 2e-168j)
| (0.045171392898107045375 - 5.527996295174964776e-796j)  +/-  (9.76e-58, 2.46e-167j)
| (0.049065271636398051458 - 7.1559828223486640769e-796j)  +/-  (2.91e-59, 7.31e-169j)
| (0.049065271636398051458 - 4.0491757303420840778e-796j)  +/-  (2.44e-60, 6.14e-170j)
| (0.046328896354345385898 + 2.3313584359058223056e-796j)  +/-  (4.69e-59, 1.18e-168j)
| (0.051054202217857230046 + 5.5855702899683444635e-795j)  +/-  (1.15e-59, 2.9e-169j)
| (0.048278404974630619571 + 6.4739899427692482402e-796j)  +/-  (2.46e-60, 6.2e-170j)
| (0.047365493003828925127 - 6.0188238206621768862e-796j)  +/-  (2.13e-60, 5.37e-170j)
| (-7.0493977945965091571e-06 - 8.9985588376905812902e-795j)  +/-  (5.04e-60, 1.27e-169j)
| (0.047365493003828925127 - 2.7434345758659662071e-796j)  +/-  (1.28e-61, 3.21e-171j)
| (0.049724149658604048697 + 5.1601361536991669939e-796j)  +/-  (4.17e-62, 1.05e-171j)
| (0.050651827961365846595 + 1.3110046429993475859e-795j)  +/-  (6.3e-62, 1.58e-171j)
| (0.046328896354345385898 + 5.7171961847750594204e-796j)  +/-  (4.31e-62, 1.08e-171j)
| (0.050253443100730504646 - 9.9260567513482878827e-796j)  +/-  (3.56e-62, 8.96e-172j)
| (0.050253443100730504646 - 6.9287071407963434164e-796j)  +/-  (6.33e-63, 1.6e-172j)
| (0.048278404974630619571 + 3.2909857887130439481e-796j)  +/-  (3.06e-63, 7.61e-173j)
