Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 23 26
-------------------------------------------------
Trying to find an order 23 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : 3/2*t^25 - 58971525/6424054*t^23 + 475944865/19272162*t^21 - 32238525/839618*t^19 + 30864184725/808971943*t^17 - 266022720865/10516635259*t^15 + 4413677920575/389115504583*t^13 - 102170405535/29931961891*t^11 + 280731323675/419047466474*t^9 - 1053862524825/12990471460694*t^7 + 295439926485/53817667480018*t^5 - 83248816825/484359007320162*t^3 + 42761324/26908833740009*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^51 - 489990695019939796221608665421148569484124505149657954618150392429998509261970947005853184583663536512568168926045149225/25640689776507631641413630307609698862085539077244081803258971752389679537407459173653854025891648220208863709110645786*t^49 + 1258959207074253044009641017141616421362442515130954556466567128707910593980250033437965083366825954301371827973786577205/10988867047074699274891555846118442369465231033104606487110987893881291230317482502994508868239277808660941589618848194*t^47 - 2518405033523192945108351829760371094462485812055201601617315523386960988744118193248561368853395052898418052548999369997215/5861274638364162470686306670347728335321784612104242128199688415142767869209126997182326442933839476283428610854359688838*t^45 + 1720372053712278764809277545272534846735419378112115372507760677812963225881282599769670849904175295688899102616034436386180325/1521977647761894188221544298733626791071890070943068205955852425132072056704636643601677433015153650674930295951848732534934*t^43 - 3189917477867090838551903397168291621887557941213581431721127722508428809611294459626852519969849733841269717968045314049786457985/1438835194399273503381255750879550294973567517997829433495612951954508399467446144163995100686023512874106778156711693634362838*t^41 + 2930588309569085733263200427698172903674174146014009987709173080812795704863237395066985383147273092307893025848000897345396910776675/871267350520750323620644793343575492031920994373953935253550798979867805697031351735597716212973311076230462958455639460007955586*t^39 - 14359177141045050057520266934745135217267490097178150123779299227759250628675518418087033421720886562668922757738078283919867995879035/3552089967507674396299551849785346236745524053986119889879860949687153361687897049383590689175968114387708810522934530106186280466*t^37 + 3565587197748093610165514813917045219085930564933497888378564196987805832252977980099100263614005011862958489910722256410853453646490/912023099765483966617452501971913222948175094942382133888072406000755592865811404571462474247883705045492802701834541513750531471*t^35 - 78080261577424171568754396721825122217413244739941449578057159054485177406946058543537304395721092696882323894684895818576603464209237128475/25400292955856912853891594584001255412325589844467149023174823326817201633820130462337683638803365392183561983197823985586918580479365203*t^33 + 7812467294951818653846455742217559957799947279723381936975335639252492935257647672307031892860667077768668569844054080584039773670559334520495/3950900113406470717546228939384195273680825838534844725332011155653111999587840292823616064181141653275097686659225167212656153745472169303*t^31 - 739686015687236769787912704845473495835536666467472317578302477931429536442639087522887300347976331441216143880290520530587963085468272834611075/708645390249449389360866389211059198204734624655876480231589523299732010106141193629095550169402969709265800142016257158354013263301379651243*t^29 + 689151550628790264631042030485204031102360814320991812931548901585997693253186144286189977346622631833106919340920659841355904482706045326791499137983/1523718541817224697445779456906528381872702862763704461534385098827367382550346973566578133659159758340944641181988782722258080900824794943053519353*t^27 - 110784866344912565017816166658886536828733172610417613411242401068741869144024749425929290472643418021040871286553228747634293351866985270209460472299/690231476207802640723301805265350463583361125867319115054037694340602318591182817085714881059277497368120222073892354566492976818322343008391765177*t^25 + 416575419810599710740958100236198219917701564240064673626911878458372352237000433435623999903895755173210989332018292103621253291572567367399411793375/8973009190701434329402923468449556026583694636275148495702490026427830141685376622114293453770607465785562886960600609364408698638190459109092947301*t^23 - 2696855155518038991852941304755905481569722659664522239511392015367299342453268188486542024337105686447397680423395908071875834518300864082812687245/248265076422569329272017645372122103502315661873225452450266522470335221311453108121739344570728269804343637188633218440912493638210803216457117119*t^21 + 6782004741126941753584814888088782636102637358415646376310395543473256656331117612922277767557659108498341460081717428069069674050986324798896704525/3333845311960216707367094094997068247031096030869027504332150444601644400468084594777642627092636765944043127961646076206539200284545071763852715598*t^19 - 52733909354929469952656494065823451994403062942226082160734846080362533044853763939869967442979904395491703198847282543620213899614281732237268605/175465542734748247756162847105108855106899791098369868649060549715876021077267610251454875110138777154949638313770846116133642120239214303360669242*t^17 + 3370134024253773298254202596150536151207791203318692752737471291684320749872490682491286425263214142454923978765056351292380578393176920693249095915/98085238388724270495695031531755850004756983223988756574824847291174695782192594130563275186567576429616847817397902978918705945213720795578614106278*t^15 - 15294862433926026423247809987802944807868412321295661623469548556638203886652865150932242305223236451286202063661825987414868338165804902412635625/5162380967827593183983949027987150000250367538104671398674991962693405041168031270029646062450925075242991990389363314679931891853353726083084952962*t^13 + 172703356514126857159490594096620170469394016141771945192936912095620441429763855499085015321218723051746629871265209128025738538454476613613741695/928037255524083482382345298338920734660392995119278235284881247447268275477668390619944834457523992372528637041534005108230833173945204450474579620938*t^11 - 25318407793105861296576300271825872720466810269204690250494897444298179913972405600173341350037854618564455296519543043191684259633152190606153325/3121579859490098986195161458049097016584958256310299518685509650504447835697611859357996261357126156162141779139705289909503711585088414969778131452246*t^9 + 2614915925786874505345946929158159300533596335486831154572311819370775932073247958811275002601039722851957196564308442402429607104356565876752485/11445792818130362949382258679513355727478180273137764901846868718516308730891243484312652958309462572594519856845586063001513609145324188222519815324902*t^7 - 468177047956394551171915732649340407856789099708710539158220754126069928593589511403692515130880591017815121456795996316021747199267325823478295/125903720999433992443204845474646913002259983004515413920315555903679396039803678327439182541404088298539718425301446693016649700598566070447717968573922*t^5 + 55890865008033472613800212933816058152701011006764743852995701124387761978248004226209350821877431456762497379440685573002686096364760129559125/1951507675491226882869675104857027151535029736569988915764891116507030638616957014075307329391763368627365635592172423741758070359277774091939628512895791*t^3 - 3732846271208188808807245272409318784535440314976987457151926100557489982770280576737568875036319874764422663266682241497954535837316986211832/56593722589245579603220578040853787394515862360529678557181842378703888519891753408183912552361137690193603432173000288510984040419055448666249226873977939*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:
| (0.99554988636306000904 + 1.6270506958437478547e-841j)  +/-  (2.14e-237, 2.14e-237j)
| (-0.99554988636306000904 + 1.7832597874587511938e-846j)  +/-  (2.01e-237, 2.01e-237j)
| (-0.94289057046880731615 + 2.5429181568338739944e-848j)  +/-  (1.01e-237, 1.01e-237j)
| (-0.99926087591508266182 + 1.8321275139142647945e-846j)  +/-  (8.21e-238, 8.21e-238j)
| (0.89484858028447169639 + 6.8245155771632499241e-849j)  +/-  (2.52e-238, 2.52e-238j)
| (0.92063452624185470411 - 2.9673820490049348559e-856j)  +/-  (5.72e-238, 5.72e-238j)
| (0.97662774409517878817 - 7.2637050181539354984e-867j)  +/-  (2.27e-237, 2.27e-237j)
| (-0.92063452624185470411 - 4.7701484939805065156e-881j)  +/-  (5.17e-238, 5.17e-238j)
| (-0.89484858028447169639 - 3.1119519879010000881e-881j)  +/-  (2.53e-238, 2.53e-238j)
| (-0.96155665772493326085 + 2.4299876902565624055e-879j)  +/-  (1.64e-237, 1.64e-237j)
| (0.86567216023663576919 - 4.488942329408068553e-881j)  +/-  (8.76e-239, 8.76e-239j)
| (0.75899922977878388607 - 6.2765930824521289261e-888j)  +/-  (1.74e-240, 1.74e-240j)
| (-0.86567216023663576919 + 1.483383945497624495e-887j)  +/-  (8.85e-239, 8.85e-239j)
| (-0.83323726941270223715 - 1.0418607774567306888e-888j)  +/-  (2.97e-239, 2.97e-239j)
| (0.99926087591508266182 + 6.5141938745251847622e-884j)  +/-  (8.26e-238, 8.26e-238j)
| (0.83323726941270223715 - 1.5227501455497493787e-897j)  +/-  (2.83e-239, 2.83e-239j)
| (0.71748444178927200518 + 1.179865143253922088e-902j)  +/-  (3.55e-241, 3.55e-241j)
| (-0.36091621457855656438 + 4.9575984503727884551e-910j)  +/-  (5.38e-248, 5.38e-248j)
| (-0.79763982702076152764 - 5.1258763222883773448e-902j)  +/-  (7.6e-240, 7.6e-240j)
| (-0.97662774409517878817 - 4.2174748294775492977e-899j)  +/-  (2.62e-237, 2.62e-237j)
| (0.96155665772493326085 - 5.0491492322321228861e-898j)  +/-  (1.71e-237, 1.71e-237j)
| (0.79763982702076152764 + 2.0477579089954009225e-914j)  +/-  (7.38e-240, 7.38e-240j)
| (-0.98801704483775826662 - 4.1887361374042393197e-914j)  +/-  (2.4e-237, 2.4e-237j)
| (-0.71748444178927200518 - 9.1500859676955675335e-920j)  +/-  (3.52e-241, 3.52e-241j)
| (-0.75899922977878388607 + 2.343462555517704596e-919j)  +/-  (1.67e-240, 1.67e-240j)
| (0.24367960446059658713 - 4.6100791588094779962e-929j)  +/-  (1.83e-250, 1.83e-250j)
| (0.67326812543928151739 - 7.9027953098658229506e-921j)  +/-  (5.63e-242, 5.63e-242j)
| (0.94289057046880731615 - 1.4582620248487514578e-920j)  +/-  (1.08e-237, 1.08e-237j)
| (0.98801704483775826662 - 4.4828293343790948831e-953j)  +/-  (2.7e-237, 2.7e-237j)
| (-0.67326812543928151739 - 8.3943529880992449121e-973j)  +/-  (5.45e-242, 5.45e-242j)
| (-0.41760465769919833054 + 3.6782983809386063237e-976j)  +/-  (7.86e-247, 7.86e-247j)
| (0.41760465769919833054 - 1.0499021605462566309e-975j)  +/-  (8.48e-247, 8.48e-247j)
| (0.62650158586265501312 - 4.7392716396094187553e-973j)  +/-  (8.16e-243, 8.16e-243j)
| (0.36091621457855656438 + 5.1298053801607204918e-978j)  +/-  (5.62e-248, 5.62e-248j)
| (-0.62650158586265501312 + 3.9209906953350279768e-973j)  +/-  (7.92e-243, 7.92e-243j)
| (-0.57735026918962576451 - 3.5678890351646565812e-975j)  +/-  (1.03e-243, 1.03e-243j)
| (1.2738316638113939376e-992 - 1.5450206467364218401e-993j)  +/-  (6.54e-991, 6.54e-991j)
| (0.57735026918962576451 - 9.4883137672086641578e-976j)  +/-  (9.49e-244, 9.49e-244j)
| (0.18357422675386033242 - 5.6596433160952110582e-984j)  +/-  (9.52e-252, 9.52e-252j)
| (-0.18357422675386033242 + 6.021551213925110643e-984j)  +/-  (1.02e-251, 1.02e-251j)
| (-0.52601557063221765312 + 4.1909861788286588845e-977j)  +/-  (1.21e-244, 1.21e-244j)
| (-0.12276580317860018479 + 2.8490644984080941845e-986j)  +/-  (3.9e-253, 3.9e-253j)
| (0.30286463444635489425 - 1.4419369818526579136e-981j)  +/-  (3.55e-249, 3.55e-249j)
| (0.52601557063221765312 - 2.342990719945363248e-977j)  +/-  (1.17e-244, 1.17e-244j)
| (-0.061494061818667568292 - 2.4550739823640702364e-988j)  +/-  (1.8e-254, 1.8e-254j)
| (-0.47270385139629456737 - 2.936920247337722118e-980j)  +/-  (1.05e-245, 1.05e-245j)
| (-0.24367960446059658713 - 3.2488555511541944882e-985j)  +/-  (1.85e-250, 1.85e-250j)
| (0.12276580317860018479 - 1.5812321334981222035e-988j)  +/-  (4.63e-253, 4.63e-253j)
| (0.47270385139629456737 + 5.6960246200812567293e-980j)  +/-  (9.57e-246, 9.57e-246j)
| (0.061494061818667568292 + 2.990482409178557159e-989j)  +/-  (2.4e-254, 2.4e-254j)
| (-0.30286463444635489425 + 1.4053772753115199817e-984j)  +/-  (3.14e-249, 3.14e-249j)
-------------------------------------------------
The weights are:
| (0.0055705975945419986158 - 4.8145892114893537739e-842j)  +/-  (2.15e-59, 1.25e-173j)
| (0.0055705975945419986158 - 4.5756780630550750893e-844j)  +/-  (9.72e-60, 5.63e-174j)
| (0.020462562179951660577 - 1.6503116680282762598e-843j)  +/-  (3.74e-60, 2.17e-174j)
| (0.0019906302752945689343 + 1.5765398915329879256e-844j)  +/-  (5.49e-60, 3.18e-174j)
| (0.027506799735734239481 - 4.2640702942469387497e-842j)  +/-  (9.33e-61, 5.4e-175j)
| (0.024039838870735666131 + 5.0082751792606306736e-842j)  +/-  (8.19e-61, 4.74e-175j)
| (0.013256243962976082849 - 1.0789924351602411389e-841j)  +/-  (3.07e-61, 1.78e-175j)
| (0.024039838870735666131 + 1.9580284334040332969e-843j)  +/-  (2.82e-61, 1.63e-175j)
| (0.027506799735734239481 - 2.271469127537053603e-843j)  +/-  (7.57e-62, 4.38e-176j)
| (0.016871885963707167446 + 1.3412720972860100317e-843j)  +/-  (1.49e-61, 8.6e-176j)
| (0.030823486914617752054 + 3.7188939835734942002e-842j)  +/-  (3.88e-63, 2.24e-177j)
| (0.040108140848975619843 - 2.6740016760642968219e-842j)  +/-  (2.82e-64, 1.63e-178j)
| (0.030823486914617752054 + 2.5950859907574575721e-843j)  +/-  (5.98e-63, 3.46e-177j)
| (0.034031735872720061554 - 2.9255815145195118779e-843j)  +/-  (1.02e-63, 5.9e-178j)
| (0.0019906302752945689343 - 8.320857314127857431e-842j)  +/-  (1.18e-64, 6.82e-179j)
| (0.034031735872720061554 - 3.2962599025435095823e-842j)  +/-  (1.7e-64, 9.82e-179j)
| (0.042892112531547257805 + 2.4405126530318248674e-842j)  +/-  (1.1e-65, 6.35e-180j)
| (0.057409272088511249859 - 6.8020918571668745118e-843j)  +/-  (2.3e-68, 1.33e-182j)
| (0.03714379546181421431 + 3.2609290333848488878e-843j)  +/-  (1.02e-65, 5.93e-180j)
| (0.013256243962976082849 - 1.035136647296662028e-843j)  +/-  (2.72e-64, 1.57e-178j)
| (0.016871885963707167446 + 7.7221689912302319866e-842j)  +/-  (1.1e-66, 6.37e-181j)
| (0.03714379546181421431 + 2.9545962782600743859e-842j)  +/-  (5.95e-67, 3.45e-181j)
| (0.0094886270472342288973 + 7.4211462753923937765e-844j)  +/-  (2.47e-64, 1.43e-178j)
| (0.042892112531547257805 + 3.9615330862007919538e-843j)  +/-  (1.39e-68, 8.06e-183j)
| (0.040108140848975619843 - 3.6051366492246920117e-843j)  +/-  (1.11e-67, 6.44e-182j)
| (0.059679906779284591852 - 1.2802394197272546765e-842j)  +/-  (2.83e-72, 1.64e-186j)
| (0.045516164786046720899 - 2.2413299994235227072e-842j)  +/-  (2.25e-69, 1.3e-183j)
| (0.020462562179951660577 - 6.0749485669780785698e-842j)  +/-  (3.15e-67, 1.82e-181j)
| (0.0094886270472342288973 + 1.9557102470007031616e-841j)  +/-  (2.99e-67, 1.73e-181j)
| (0.045516164786046720899 - 4.3284625573365021101e-843j)  +/-  (7.49e-71, 4.34e-185j)
| (0.055929349718667488371 + 6.3510347477155773368e-843j)  +/-  (3.54e-73, 2.05e-187j)
| (0.055929349718667488371 + 1.552912372487626891e-842j)  +/-  (4.76e-74, 2.75e-188j)
| (0.047989833442738110849 + 2.0678238330895641509e-842j)  +/-  (3.87e-72, 2.24e-186j)
| (0.057409272088511249859 - 1.453877779798596839e-842j)  +/-  (1.8e-74, 1.04e-188j)
| (0.047989833442738110849 + 4.7047124194819772416e-843j)  +/-  (1.52e-72, 8.82e-187j)
| (0.050278491824879241535 - 5.0935596273675154461e-843j)  +/-  (2.18e-73, 1.26e-187j)
| (0.06152999726248371706 - 9.9932719210069846016e-843j)  +/-  (5.93e-77, 3.43e-191j)
| (0.050278491824879241535 - 1.9157466862410147957e-842j)  +/-  (4.23e-74, 2.45e-188j)
| (0.060495066664727330635 + 1.2026400137527485583e-842j)  +/-  (2.27e-76, 1.32e-190j)
| (0.060495066664727330635 + 8.2816970373949716275e-843j)  +/-  (1.71e-77, 9.9e-192j)
| (0.052356018129468342769 + 5.4981318336227379471e-843j)  +/-  (9.23e-76, 5.34e-190j)
| (0.061081325940213315898 - 8.8213125423068496848e-843j)  +/-  (1.09e-77, 6.31e-192j)
| (0.058655141008258569882 + 1.3635440159877911442e-842j)  +/-  (4.82e-77, 2.79e-191j)
| (0.052356018129468342769 + 1.7817129366363572515e-842j)  +/-  (9.34e-77, 5.4e-191j)
| (0.061421523755948653693 + 9.3914727654751751946e-843j)  +/-  (3.71e-78, 2.15e-192j)
| (0.05423644997016400673 - 5.9175244864051519438e-843j)  +/-  (1.39e-77, 8.03e-192j)
| (0.059679906779284591852 - 7.767524749299823606e-843j)  +/-  (1.3e-78, 7.53e-193j)
| (0.061081325940213315898 - 1.1302920644931139335e-842j)  +/-  (4.4e-79, 2.57e-193j)
| (0.05423644997016400673 - 1.6617540589668495375e-842j)  +/-  (7.83e-79, 4.54e-193j)
| (0.061421523755948653693 + 1.0628056374554838486e-842j)  +/-  (3.39e-79, 1.99e-193j)
| (0.058655141008258569882 + 7.2743147016846782625e-843j)  +/-  (2.64e-79, 1.46e-193j)
