Starting with polynomial:
P : 46189/256*t^10 - 109395/256*t^8 + 45045/128*t^6 - 15015/128*t^4 + 3465/256*t^2 - 63/256
Extension levels are: 10 43
-------------------------------------------------
Trying to find an order 43 Kronrod extension for:
P1 : 46189/256*t^10 - 109395/256*t^8 + 45045/128*t^6 - 15015/128*t^4 + 3465/256*t^2 - 63/256
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 46189/256*t^53 - 103128382686849817924591223143879150660029802443198503334549353379937653/44484035155626648472797956783992844975660912507121108885889672282880*t^51 + 592995304756944187002347089386473989576723272111923640133290148998579615/42259833397845316049158058944793202726877866881765053441595188668736*t^49 - 6743502164833404117087302281572987430558880461594214726195541547432207915/126779500193535948147474176834379608180633600645295160324785566006208*t^47 + 18109138145553909468827363799221839937877526111908358591868493511218139077405/127878255861879926364752286366944231451532425184221051714267040911595136*t^45 - 32359861681084059421187726018392494368032127259138750238739625575239379783767965/114962552019830053801912305443882864074927650240614725491126069779524027264*t^43 + 423586274145377867508348992619981107651755508417633672675633109539810459005993957/977181692168555457316254596273004344636885027045225166674571593125954231744*t^41 - 42965333148411855880091490264832706312361066911126397472965084606454937560801400745/81106080449990102957249131490659360604861457244753688833989442229454201234752*t^39 + 8913302291943984883828048036712340163069294182462270629131985181449706372357477165/17074964305261074306789290840138812758918201525211302912418829943042989733632*t^37 - 137537035779449259127998574706342844619269494501536181605806629051050692750162227245/328116205974070914381815832090235023556509223903384766776480759175772045962496*t^35 + 2442451455222085163329988772775608958360924980280770197981373176143136172851844275/8846270259104853083823466061256336419415689860140275574856098899346795356832*t^33 - 120384075926580455332177265856436538989193376294826952062597612608104317622487475/804206387191350280347587823750576038128699078194570506805099899940617759712*t^31 + 2279002517272143438410024640498773807767771758219709285981525814778827431600774975/34087973960304331237959045174459900454874535120892440191674234468450701169728*t^29 - 75905684887407715869021333047655072933081368026172511591505281535988860643230125/3090991253105501299993732065627909236648904206364448599755901209782886057536*t^27 + 11418510761087516304947929975146214641889077183973591617625529897293979801973775/1545495626552750649996866032813954618324452103182224299877950604891443028768*t^25 - 561881820414182563979313521080100042605891706045457486245364015154845495169726705/310644620937102880649370072595604878283214872739627084275468071583180048782368*t^23 + 295689160389285918287263766435583191453112314320634926463468729358431736004626481/828385655832274348398320193588279675421906327305672224734581524221813463419648*t^21 - 46438682068170663992153112171915866582017273672583049039812007978927547378386835/828385655832274348398320193588279675421906327305672224734581524221813463419648*t^19 + 83914827919941225895198590781103007629955217876212753935439610506677712215965/12182141997533446299975296964533524638557445989789297422567375356203139167936*t^17 - 6945088451392866454005673964015730264088415284216532518634861722949190494355/10727557878424975099978246580708626174252079304441321610917539492775898670272*t^15 + 3958719734401730162338860604630467100581904520702593886621796075212630356186005/87687058098245746467222187550712310348336496234503362847639967813950195730803328*t^13 - 6280471834261473043902786642158191623361061608578213990605748699087060612944352511/2803969056807604234782363891309127548008756140090714033778983250786685408883898019456*t^11 + 1054070285830261146319009558468126257490319217221321096447380762319920814374385/14161459882866688054456383289440038121256344141872293099893854801952956610524737472*t^9 - 363467395235253246989527927104485111550488920992649707347241341795359555652215/240744818008733696925758515920480648061357850411828982698195531633200262378920537024*t^7 + 46008207875571779514028412422312791838804015234283580090930413454204985523905/2888937816104804363109102191045767776736294204941947792378346379598403148547046444288*t^5 - 813920311334575933121137372701794459244720469080256351522026680190503081/13191496877190887502781288543587980715690841118456382613599755157983576020762769152*t^3 + 1746031887140791218505198729532309980312796739149045142456242203507853/150465511255458560578599072450300405038348656507393114186372207270750163986825335640*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:
| (0.99422061782496189067 + 1.7203328608466959539e-821j)  +/-  (2.07e-237, 2.07e-237j)
| (-0.99422061782496189067 - 1.0082035733917498231e-832j)  +/-  (1.89e-237, 1.89e-237j)
| (-0.89303803714153451613 - 2.7716172155549726321e-835j)  +/-  (4.79e-238, 4.79e-238j)
| (-0.93980231105367054783 + 3.0006875564457035819e-833j)  +/-  (1.91e-237, 1.91e-237j)
| (0.89303803714153451613 - 3.4436206156712239059e-834j)  +/-  (4.86e-238, 4.86e-238j)
| (0.91795223434622515006 - 1.0554165795765220352e-843j)  +/-  (1.08e-237, 1.08e-237j)
| (-0.98585768104219034901 + 3.6819603319672113238e-850j)  +/-  (3.24e-237, 3.24e-237j)
| (-0.91795223434622515006 + 1.0491364403897400761e-851j)  +/-  (1.06e-237, 1.06e-237j)
| (-0.99890050124754616718 + 4.0196889922493228933e-851j)  +/-  (6.17e-238, 6.17e-238j)
| (0.99890050124754616718 - 3.0596026308005609638e-850j)  +/-  (6.86e-238, 6.86e-238j)
| (0.86506336668898451073 + 1.2042379852136698815e-856j)  +/-  (2.06e-238, 2.06e-238j)
| (0.93980231105367054783 + 2.1346056661091357628e-868j)  +/-  (1.82e-237, 1.82e-237j)
| (-0.86506336668898451073 - 7.5766797693016728679e-886j)  +/-  (2.04e-238, 2.04e-238j)
| (-0.83398425221994024247 - 2.7693068963971372034e-886j)  +/-  (7.16e-239, 7.16e-239j)
| (0.98585768104219034901 - 7.591330706630639177e-883j)  +/-  (3.18e-237, 3.18e-237j)
| (0.83398425221994024247 - 3.6244995618538976982e-895j)  +/-  (7.53e-239, 7.53e-239j)
| (0.79978144608140260035 + 1.2229570851473654153e-902j)  +/-  (1.92e-239, 1.92e-239j)
| (-0.95850216783390289528 + 2.7059449666936350821e-905j)  +/-  (2.48e-237, 2.48e-237j)
| (-0.79978144608140260035 - 4.0019964871819181357e-910j)  +/-  (1.82e-239, 1.82e-239j)
| (-0.97390652851717172008 - 8.0509273249127576203e-908j)  +/-  (3.02e-237, 3.02e-237j)
| (0.95850216783390289528 + 5.7638447787653170705e-908j)  +/-  (2.63e-237, 2.63e-237j)
| (0.72231852805314983028 + 1.6165140634008202333e-928j)  +/-  (8.96e-241, 8.96e-241j)
| (0.97390652851717172008 + 1.9628697055419401086e-931j)  +/-  (3.29e-237, 3.29e-237j)
| (-0.72231852805314983028 + 2.3916625055476197098e-944j)  +/-  (8.35e-241, 8.35e-241j)
| (-0.76251226728837128352 - 3.2597252208611398808e-946j)  +/-  (4.31e-240, 4.31e-240j)
| (0.26699895181329090118 + 5.6536566794632951314e-956j)  +/-  (8.69e-250, 8.69e-250j)
| (0.76251226728837128352 + 1.4201941629946285155e-946j)  +/-  (4.34e-240, 4.34e-240j)
| (0.53705711544641965381 + 2.2506298998780864214e-950j)  +/-  (3.31e-244, 3.31e-244j)
| (-0.32393098245825739191 - 1.1970574492916400049e-956j)  +/-  (1.47e-248, 1.47e-248j)
| (-0.63404133920081558398 + 1.1129671069209398355e-948j)  +/-  (2.35e-242, 2.35e-242j)
| (-0.67940956829902440623 - 1.3976415961129926162e-949j)  +/-  (1.66e-241, 1.66e-241j)
| (0.67940956829902440623 - 3.2649473318041456995e-948j)  +/-  (1.47e-241, 1.47e-241j)
| (0.63404133920081558398 + 9.5959838315574814018e-954j)  +/-  (2.48e-242, 2.48e-242j)
| (0.087445926102549193738 - 3.3865392791329597737e-966j)  +/-  (7.87e-254, 7.87e-254j)
| (-0.58649619099726065094 - 2.3358280958385559537e-955j)  +/-  (3.06e-243, 3.06e-243j)
| (-0.37938966654955412617 + 4.0130799967817553078e-961j)  +/-  (2.03e-247, 2.03e-247j)
| (0.014071419370239072275 + 1.4268759670715878588e-970j)  +/-  (2.16e-255, 2.16e-255j)
| (0.58649619099726065094 - 1.748731074698815531e-959j)  +/-  (2.97e-243, 2.97e-243j)
| (0.32393098245825739191 - 6.1109712376386635522e-963j)  +/-  (1.35e-248, 1.35e-248j)
| (-0.087445926102549193738 - 1.5062613404084649144e-968j)  +/-  (7.87e-254, 7.87e-254j)
| (-0.53705711544641965381 + 3.9824606251452502228e-959j)  +/-  (3.2e-244, 3.2e-244j)
| (-0.14887433898163121088 - 2.3954073976887960214e-970j)  +/-  (1.67e-252, 1.67e-252j)
| (0.37938966654955412617 - 6.4777657199486445827e-963j)  +/-  (2e-247, 2e-247j)
| (0.4333953941292471908 + 6.8002501410120843091e-961j)  +/-  (2.64e-246, 2.64e-246j)
| (3.5987284148527068145e-976 - 8.9787834126843344623e-976j)  +/-  (5.13e-974, 5.13e-974j)
| (-0.4859694591170485412 + 1.7486437394377129122e-961j)  +/-  (2.98e-245, 2.98e-245j)
| (-0.26699895181329090118 - 4.7622611641387534196e-966j)  +/-  (8.53e-250, 8.53e-250j)
| (0.14887433898163121088 - 8.8689077071975350696e-969j)  +/-  (1.75e-252, 1.75e-252j)
| (0.4859694591170485412 + 2.5798046593388592822e-961j)  +/-  (2.93e-245, 2.93e-245j)
| (0.20862983947260092477 + 1.9929335247660000785e-967j)  +/-  (4.33e-251, 4.33e-251j)
| (-0.20862983947260092477 + 2.3082647263005427995e-967j)  +/-  (4.37e-251, 4.37e-251j)
| (-0.4333953941292471908 - 1.5606331471251836608e-962j)  +/-  (2.78e-246, 2.78e-246j)
| (-0.014071419370239072275 + 1.1482951695991749673e-972j)  +/-  (1.64e-255, 1.64e-255j)
-------------------------------------------------
The weights are:
| (0.0065332933289021529362 - 1.0418959727373140502e-821j)  +/-  (2.64e-59, 5.94e-172j)
| (0.0065332933289021529362 - 5.6523869120132920103e-824j)  +/-  (1.23e-59, 2.76e-172j)
| (0.026438885387757747536 - 7.8073507270650312219e-823j)  +/-  (5.71e-60, 1.29e-172j)
| (0.020295759793362072037 - 4.3896669027195644045e-823j)  +/-  (2.74e-60, 6.18e-173j)
| (0.026438885387757747536 - 1.4562279526089683093e-821j)  +/-  (6.38e-61, 1.44e-173j)
| (0.023389539013292431495 + 1.5037308541079678763e-821j)  +/-  (4.59e-61, 1.03e-173j)
| (0.010176576118827383545 + 1.1659213601641162449e-823j)  +/-  (1.66e-60, 3.74e-173j)
| (0.023389539013292431495 + 5.9977381913589959427e-823j)  +/-  (1.66e-60, 3.74e-173j)
| (0.0028200956790378187218 + 1.5694384690982800429e-824j)  +/-  (7.47e-61, 1.68e-173j)
| (0.0028200956790378187218 - 6.6841001860886756057e-822j)  +/-  (1.08e-61, 2.43e-174j)
| (0.029519171787859693809 + 1.4013449178373882822e-821j)  +/-  (8.15e-62, 1.84e-174j)
| (0.020295759793362072037 - 1.5600846373373111562e-821j)  +/-  (8.36e-62, 1.88e-174j)
| (0.029519171787859693809 + 9.7345999320614438e-823j)  +/-  (9.11e-62, 2.05e-174j)
| (0.0326431832718133002 - 1.1738201885438435136e-822j)  +/-  (1.04e-62, 2.34e-175j)
| (0.010176576118827383545 + 2.7605321433595788979e-821j)  +/-  (5.36e-62, 1.21e-174j)
| (0.0326431832718133002 - 1.3392613948984539429e-821j)  +/-  (4.27e-63, 9.61e-176j)
| (0.035752939272744246553 + 1.279350718091650025e-821j)  +/-  (6.82e-64, 1.54e-176j)
| (0.017078868235943714016 + 3.0463869893459116743e-823j)  +/-  (1.99e-62, 4.49e-175j)
| (0.035752939272744246553 + 1.3865975910009742712e-822j)  +/-  (1.43e-64, 3.21e-177j)
| (0.013702975158945011966 - 1.9805266078983469974e-823j)  +/-  (1.08e-62, 2.44e-175j)
| (0.017078868235943714016 + 1.6654556082836818202e-821j)  +/-  (3e-63, 6.76e-176j)
| (0.041590787883342231312 + 1.2060434178483552337e-821j)  +/-  (4.97e-67, 1.12e-179j)
| (0.013702975158945011966 - 1.9188298917191630246e-821j)  +/-  (2.86e-63, 6.43e-176j)
| (0.041590787883342231312 + 1.9103888569391748894e-822j)  +/-  (2.03e-67, 4.58e-180j)
| (0.038761444781864699525 - 1.6254481157090365246e-822j)  +/-  (1.87e-66, 4.21e-179j)
| (0.057661578641358924428 - 2.0278773287560654956e-821j)  +/-  (7.28e-72, 1.64e-184j)
| (0.038761444781864699525 - 1.2323587610001452227e-821j)  +/-  (4.68e-67, 1.05e-179j)
| (0.050298778719918872964 + 1.3567526165619923843e-821j)  +/-  (1.83e-70, 4.13e-183j)
| (0.056195943018105164943 + 9.2882165510612260755e-822j)  +/-  (2.06e-72, 4.64e-185j)
| (0.046504837360053510291 + 2.7204449887193569229e-822j)  +/-  (2.79e-70, 6.28e-183j)
| (0.044184154856057197041 - 2.2659444773060545251e-822j)  +/-  (2.31e-69, 5.21e-182j)
| (0.044184154856057197041 - 1.2046442089354420738e-821j)  +/-  (2.27e-70, 5.1e-183j)
| (0.046504837360053510291 + 1.2298311824428616635e-821j)  +/-  (3.44e-71, 7.75e-184j)
| (0.062760119771529668158 + 4.780239802468015563e-821j)  +/-  (2.53e-75, 5.69e-188j)
| (0.048537649819761677432 - 3.304999059054728654e-822j)  +/-  (5.64e-73, 1.27e-185j)
| (0.054725929270108423389 - 7.5272022150705254612e-822j)  +/-  (3.33e-75, 7.49e-188j)
| (0.19096812379526918407 - 5.5644608875190852125e-820j)  +/-  (7.69e-76, 1.73e-188j)
| (0.048537649819761677432 - 1.2813231736792398455e-821j)  +/-  (2.21e-73, 4.97e-186j)
| (0.056195943018105164943 + 1.8265652435114389845e-821j)  +/-  (4.98e-76, 1.12e-188j)
| (0.062760119771529668158 + 4.0073352527952920112e-821j)  +/-  (1.47e-76, 3.31e-189j)
| (0.050298778719918872964 + 4.0505896780278141637e-822j)  +/-  (2.16e-75, 4.86e-188j)
| (0.060470225782257351528 - 2.2337644108989128116e-821j)  +/-  (7.61e-77, 1.71e-189j)
| (0.054725929270108423389 - 1.6816723936304138078e-821j)  +/-  (1.68e-76, 3.79e-189j)
| (0.053290550537098576782 + 1.5602339417282757583e-821j)  +/-  (1.5e-76, 3.37e-189j)
| (-0.27042974626888406143 + 1.0402920374858176406e-819j)  +/-  (8.08e-77, 1.82e-189j)
| (0.051848991984318641084 - 4.9840209325650317862e-822j)  +/-  (1.01e-77, 2.26e-190j)
| (0.057661578641358924428 - 1.1692780265984478091e-821j)  +/-  (3e-78, 6.72e-191j)
| (0.060470225782257351528 - 3.0205430563655028967e-821j)  +/-  (2.27e-78, 5.08e-191j)
| (0.051848991984318641084 - 1.4515064454182164933e-821j)  +/-  (3.64e-78, 8.16e-191j)
| (0.059064469864912334957 + 2.3611082485204591705e-821j)  +/-  (1.71e-78, 3.83e-191j)
| (0.059064469864912334957 + 1.5420577474817305023e-821j)  +/-  (1.93e-79, 4.27e-192j)
| (0.053290550537098576782 + 6.1292290228600966547e-822j)  +/-  (9.08e-80, 1.92e-192j)
| (0.19096812379526918407 - 5.4091490139182638099e-820j)  +/-  (5.24e-78, 1.22e-190j)
