Starting with polynomial:
P : 12155/128*t^9 - 6435/32*t^7 + 9009/64*t^5 - 1155/32*t^3 + 315/128*t
Extension levels are: 9 10 20
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : 12155/128*t^9 - 6435/32*t^7 + 9009/64*t^5 - 1155/32*t^3 + 315/128*t
Solvable: 1
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P2 : 12155/128*t^19 - 1209065/2688*t^17 + 9099233/10143*t^15 - 3334685915/3408048*t^13 + 4176111355975/6584348736*t^11 - 996376844681933/4009868380224*t^9 + 6369394178719/111385232784*t^7 - 141775691629/19890220140*t^5 + 154200324707/381892226688*t^3 - 853422823/127297408896*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 12155/128*t^39 - 20092341437726500927610031705028415143758257614417922998905852154871083684399242131349469461021777819161009137909561293391969134717565/21214544574364914012678025416651146324657442778692170022564210421530590004181978011084100755862033920011683217012794301064520211328*t^37 + 108568485708439399831891891125041663142190530183225099059477442043843578689690199692834839267453231304838669432562117806474635932154677339/24884660785730044136871323813731794638823180379405915436467818824455382074905460207001650186626165788173704413556007715148682207887744*t^35 - 16274276743213108113948663861391661171567021820305049090522944797529975562100966308693386856627193433408893277361631813848347703573134206565/1321814628794954697387929729635282974050431287211973037595908258734306471390566503936617065795495747454167946202416174516427060807213696*t^33 + 201367275583330557053015910692288897051757775989655552543962486853252821985038570543538844840664944860023156127828923614077361088024197666453045/8459283170630511324608403287233402213179247630334824447354413878834877840281777983568365066824723909769811313708912912861504082400965850976*t^31 - 1559473788910841837830971149422337064707504129496334500378686365817448539569744764304703128387429522122567235171466745874373225497308892623985914679033/46679584968731585435376535991043711189252852132084481189344311591078802319473052898249790125133783417972374530931524081193795890796807309597363424*t^29 + 157061777438469514728294466174084067328023623890528381765540723516445150068321170383647906609274550190829589522394318654718890293591398184762884153909/4464475595578102185426383077868201395458795877304111083170861290753795667509784499702484807023205050385126256374062485319120361709258734229546144*t^27 - 668614882671758841372716130534522917422049232555599472656011276299547865892789278963795094425571989978870156012420356056162944582079044352599796881357/23594308347001081350330315126625394839248052286037396180290449271647552601796724350279513723726624981380083206763207721558314162309615247851305120*t^25 + 7824600152557666301134659304810290442511348637128417694471437266419230641428813111726808914581832874504867332239549129002978390629323137617956213490995/443572996923620329386209924380557422977863382977503048189460446306973988913778417785254858006060549649945564287148305165296306251420766659604536256*t^23 - 233029762655239254894464304618745237750574301426441310711259294826497689744527944832328552534265364339285089345085706074682843787132209015235097617510695/27366525331939880321697038378087434052416875671525079364384537969982438707332677166838114935243474780577076335802758479545889503076785560433862475968*t^21 + 169921144678885999756721603434609857541452842126115776414775489817095166125671491507745623624201445865063701307297535662733280973464651173231213929310585/53429882790930242532837074928646895054718662025358488282846002703299047000030464944779176778332498381126672846091099888637212839340390856085160072128*t^19 - 211112202816353258061074130032512313197815430911359149326090965007446921652402838687059466537853613297572669581970177974791113278175381370433261761485855/231529492094031050975627324690803211903780868776553449225666011714295870333465348094043099372774159651548915666394766184094588970475027043035693645888*t^17 + 12129878452418553060424413509322540111624543313826674455603825890822594206393705602515460310277036118913573792218651479687484754025634271483094481816467/61287218495478807611195468300506732562765524087911207147970414865548906852976121554305526304557865790115889441104496931083861786302213040803565965088*t^15 - 650462408132595134585432894149533325531606944551194736719923404025388956406164445898006634830728611513710012109964266838926104351626163829536653406305/20429072831826269203731822766835577520921841362637069049323471621849635617658707184768508768185955263371963147034832310361287262100737680267855321696*t^13 + 1335992230101052330595892978126343815582731295996326234077668410707004829246536920129725848848737294506034619060092603896689289796080278644336575667445/363008909550143706620157773779924492871765027289935611568747841895943525206089335360117348111611974295301806689618943361035181349636184933990352254752*t^11 - 28919753485271177601841380991670584047308371945420371629525865119827023203948850619761244062019354697450557759268833703309380596029610403145415629045/99002429877311919987315756485433952601390461988164257700567593244348234147115273280032004030439629353264129097168802734827776731718959527451914251296*t^9 + 13984326226012747788615337065945453386014469091628513266698529163755825152981134950750486517734708868684947454276263952276090637059132556892531995/940332585422761214978189449955812535966698893853029877447460969159452645628868558133440798127486858673433142984654148631787611633456096387818067072*t^7 - 79361725383001893110789839109189725903384570651152782650104101546685860193190607524561812047061881180740030184361095247967493670975545816039053561/182290188345526709817914726227148230186687199851223077670886362164196748588339233341011309008428523888549825004310811384762255569514274685467016716672*t^5 + 42767378460116336916198487268715335438263968955790354792761062008112979264884905796667902099791786761934210590285116485312112006691440879235937285/7109317345475541682898674322858780977280800794197700029164568124403673194945230100299441051328712431653443175168121644005727967211056712733213651950208*t^3 - 23024077022040054356975365951154040933163399864626778714071642430767849184142498808442435695507931408295447789270055763490231357259199179017612665/926581027360312266004460553412594454038931036843766903801115378880612073074528323072360483689842186925498760496911854268746545059841058226228845970843776*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 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:
| (0.9449257047677985495 + 2.2803811381478578085e-870j)  +/-  (1.06e-241, 1.06e-241j)
| (0.98463550651277674578 + 1.8009741157746562903e-868j)  +/-  (3.39e-241, 3.39e-241j)
| (-0.91496350724967785396 - 4.8341435657119459295e-870j)  +/-  (4.46e-242, 4.46e-242j)
| (0.96816023950762608984 - 1.4026903371911393372e-880j)  +/-  (2.18e-241, 2.18e-241j)
| (0.99467816067734024253 + 3.3978527792524209183e-881j)  +/-  (3.63e-241, 3.63e-241j)
| (0.32425342340380892904 - 8.8696037817792986436e-892j)  +/-  (1.63e-250, 1.63e-250j)
| (-0.99918363188442050293 + 6.6008546612319764499e-879j)  +/-  (1.65e-241, 1.65e-241j)
| (-0.87853527972565349469 + 1.9052259347082136021e-897j)  +/-  (1.59e-242, 1.59e-242j)
| (-0.96816023950762608984 - 2.0261952879533365354e-913j)  +/-  (2.15e-241, 2.15e-241j)
| (0.99918363188442050293 - 4.6929245445970509245e-935j)  +/-  (1.66e-241, 1.66e-241j)
| (0.87853527972565349469 + 3.804950719012209202e-936j)  +/-  (1.62e-242, 1.62e-242j)
| (-0.98463550651277674578 + 9.1124319201523516329e-932j)  +/-  (3.3e-241, 3.3e-241j)
| (-0.9449257047677985495 - 2.5096977969101790306e-950j)  +/-  (1.04e-241, 1.04e-241j)
| (-0.8360311073266357943 + 5.2818696797730593403e-963j)  +/-  (4.43e-243, 4.43e-243j)
| (-0.99467816067734024253 - 1.8912692725962091494e-976j)  +/-  (3.77e-241, 3.77e-241j)
| (0.8360311073266357943 + 4.377532791026193594e-990j)  +/-  (4.28e-243, 4.28e-243j)
| (0.61337143270059039731 - 2.3539604399717979517e-994j)  +/-  (4.63e-246, 4.63e-246j)
| (-0.32425342340380892904 - 4.3510074721389026457e-1000j)  +/-  (1.67e-250, 1.67e-250j)
| (-0.78788032167987056963 + 4.2847430102973808674e-994j)  +/-  (1.01e-243, 1.01e-243j)
| (-0.54632434803926450002 + 2.7118718684723558559e-996j)  +/-  (3.94e-247, 3.94e-247j)
| (0.24504299805664905947 - 1.6230722998643623531e-1000j)  +/-  (9.7e-252, 9.7e-252j)
| (0.67620707107638081898 + 7.5788040045344595411e-993j)  +/-  (3.27e-245, 3.27e-245j)
| (0.16422356361498676144 + 3.0309730128608528886e-1002j)  +/-  (5.03e-253, 5.03e-253j)
| (-0.67620707107638081898 + 1.3920887835788144709e-994j)  +/-  (3.25e-245, 3.25e-245j)
| (-0.73448676518393379161 - 1.0745821545844082592e-993j)  +/-  (2.16e-244, 2.16e-244j)
| (-0.082365202311366671257 + 4.9566038035110345082e-1005j)  +/-  (1.87e-254, 1.87e-254j)
| (0.73448676518393379161 - 1.1465630863609581857e-991j)  +/-  (2.08e-244, 2.08e-244j)
| (0.78788032167987056963 + 3.0262302657246707436e-990j)  +/-  (1.06e-243, 1.06e-243j)
| (-0.16422356361498676144 + 3.4848990127418648712e-1003j)  +/-  (4.61e-253, 4.61e-253j)
| (-0.61337143270059039731 - 1.5009635127070469083e-995j)  +/-  (3.96e-246, 3.96e-246j)
| (-0.24504299805664905947 - 4.5727846321673139999e-1001j)  +/-  (9.07e-252, 9.07e-252j)
| (0.40125717459761495585 - 4.3500926527666647555e-998j)  +/-  (2.4e-249, 2.4e-249j)
| (0.47546247911245988896 - 6.3942009258340879255e-997j)  +/-  (3.13e-248, 3.13e-248j)
| (1.678624230345224307e-1017 - 2.5719143805789843967e-1017j)  +/-  (1.2e-1015, 1.2e-1015j)
| (-0.47546247911245988896 + 1.4379018620805677156e-998j)  +/-  (3.14e-248, 3.14e-248j)
| (-0.40125717459761495585 - 9.1640771475672855673e-999j)  +/-  (2.7e-249, 2.7e-249j)
| (0.082365202311366671257 + 2.3351254416077714533e-1004j)  +/-  (1.79e-254, 1.79e-254j)
| (0.54632434803926450002 + 3.245158016287796649e-995j)  +/-  (4.23e-247, 4.23e-247j)
| (0.91496350724967785396 + 1.9043367940566556048e-999j)  +/-  (4.15e-242, 4.15e-242j)
-------------------------------------------------
The weights are:
| (0.026626418092586356732 - 5.891672787345389535e-869j)  +/-  (2.45e-76, 1.02e-192j)
| (0.01316651366717955549 + 3.1889687779772194987e-869j)  +/-  (1.06e-76, 4.43e-193j)
| (0.033252712466320992186 + 1.8183807547809675601e-870j)  +/-  (1.91e-78, 7.93e-195j)
| (0.01983535012669439624 + 1.4424835144402776318e-868j)  +/-  (9.59e-77, 3.99e-193j)
| (0.0070605415454896615 - 1.9270452211225260815e-868j)  +/-  (2.82e-77, 1.17e-193j)
| (0.078207606540821084244 + 3.4276610150324074515e-870j)  +/-  (2.59e-80, 1.08e-196j)
| (0.0022612105955502672335 - 1.049084505627117917e-870j)  +/-  (2.35e-79, 9.79e-196j)
| (0.039537204332193266834 + 3.1030849030311848147e-870j)  +/-  (5.36e-79, 2.23e-195j)
| (0.01983535012669439624 + 4.467213166456950496e-870j)  +/-  (2.37e-79, 9.85e-196j)
| (0.0022612105955502672335 + 5.3802724850295051637e-869j)  +/-  (1.14e-77, 4.74e-194j)
| (0.039537204332193266834 - 2.2059863348610093954e-869j)  +/-  (1.43e-79, 5.95e-196j)
| (0.01316651366717955549 - 3.6233006680513010364e-870j)  +/-  (1.12e-79, 4.65e-196j)
| (0.026626418092586356732 - 6.7733858781106371068e-870j)  +/-  (4.21e-80, 1.75e-196j)
| (0.045398449034954555209 - 7.325877957073038321e-871j)  +/-  (7.13e-82, 2.96e-198j)
| (0.0070605415454896615 + 2.6915157684934210307e-870j)  +/-  (1.02e-79, 4.25e-196j)
| (0.045398449034954555209 + 1.5610302014428443978e-869j)  +/-  (4.78e-83, 1.99e-199j)
| (0.065002055452018144361 + 6.2989929765337979041e-870j)  +/-  (1.83e-84, 7.6e-201j)
| (0.078207606540821084244 + 1.521690165795863397e-870j)  +/-  (1.79e-85, 7.45e-202j)
| (0.05083545256568444527 - 6.1372156582055760944e-872j)  +/-  (2.45e-83, 1.02e-199j)
| (0.069026399832003116454 - 1.1074223184521363276e-870j)  +/-  (2.57e-85, 1.07e-201j)
| (0.080113033399406134227 - 3.0420283564470223716e-870j)  +/-  (4.74e-86, 1.97e-202j)
| (0.060612459854792419708 - 7.5985355098365606832e-870j)  +/-  (6.25e-86, 2.6e-202j)
| (0.081430650938732272493 + 2.7265083873264799941e-870j)  +/-  (1.69e-86, 7.02e-203j)
| (0.060612459854792419708 - 7.4780644844141330176e-871j)  +/-  (7.18e-86, 2.99e-202j)
| (0.055892634267739491616 + 4.7739970869264792896e-871j)  +/-  (3.09e-85, 1.28e-201j)
| (0.08219763349859814546 - 2.0229563604021359557e-870j)  +/-  (1.63e-88, 6.79e-205j)
| (0.055892634267739491616 + 9.3435054502101131993e-870j)  +/-  (1.17e-87, 4.85e-204j)
| (0.05083545256568444527 - 1.181714373978087083e-869j)  +/-  (1.42e-87, 5.9e-204j)
| (0.081430650938732272493 + 1.8382330153898736781e-870j)  +/-  (5.82e-89, 2.42e-205j)
| (0.065002055452018144361 + 9.4696735335450877834e-871j)  +/-  (6.28e-88, 2.61e-204j)
| (0.080113033399406134227 - 1.672013445614727811e-870j)  +/-  (4.41e-89, 1.83e-205j)
| (0.075700526756358240721 - 3.9100438886956339325e-870j)  +/-  (6.36e-90, 2.65e-206j)
| (0.072618773096106298632 + 4.5212451715459965006e-870j)  +/-  (3.38e-90, 1.41e-206j)
| (0.082448747873542310782 + 2.2287403093626248407e-870j)  +/-  (2.57e-90, 1.07e-206j)
| (0.072618773096106298632 + 1.248169644988117944e-870j)  +/-  (1.52e-90, 6.32e-207j)
| (0.075700526756358240721 - 1.3828251676857402507e-870j)  +/-  (1.11e-90, 4.6e-207j)
| (0.08219763349859814546 - 2.4602840371803712021e-870j)  +/-  (4.22e-91, 1.76e-207j)
| (0.069026399832003116454 - 5.3002127173195231183e-870j)  +/-  (1.13e-91, 4.74e-208j)
| (0.033252712466320992186 + 3.4771742448732739586e-869j)  +/-  (7.42e-92, 3.02e-208j)
