Starting with polynomial:
P : t
Extension levels are: 1 14 32
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P2 : t^15 - 105/29*t^13 + 455/87*t^11 - 1001/261*t^9 + 1001/667*t^7 - 1001/3335*t^5 + 1001/38019*t^3 - 143/215441*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^47 - 8091075286098004762496554612311620012216797329478847923844531/682017498410650123495569673233542411330397195511301746733439*t^45 + 1153496330017058993925330973697075325069617409991465233321470185/17505115792540019836386288279660921890813528018123411499491601*t^43 - 2987450209967901130577051813991491342173767612204007861251632213221/13121334651922497725931264943340122451585511644441934305404632921*t^41 + 36243541162346809831540693806951259798955699478344834205041348489810939/66092162641733621045515781519604196788636222153054023096323136023077*t^39 - 263713132323409515702322909208332038711508231552098819814551997895039323/269686410779487764036300028039764251263975389245220439071203601013705*t^37 + 596572655368667432820015909120265309118313488665058742552500026137371177411/445791637018493273952003946349730307339351318422349385784699552475654365*t^35 - 3066534146167367443021755086674061958121823870589095496594651590182345818918541/2132578033169068123931596478547839844249988837068834991716845719133035351287*t^33 + 1829503965249056645668889673659180736679808138918769750701261366638692939282250/1486342265542077783346264212321221709628780098563127418469316713335145850897*t^31 - 303808444742105917157055964029196786847678668414688828806657070321225547005542/358772270992915327014615499525812136806946920342823859630524723908483481251*t^29 + 1084759752139317325951401478523825284531726662579493755376122082722289313362618/2306393170668741387951099639808792308044658773632439097624801796554536665185*t^27 - 18031869519824621118113568886046536749620463690500863801555393617945146031206/85421969284027458813003690363288604001654028653053299912029696168686543155*t^25 + 1077956160185580716431507808986740404264105808005138513622824175376869304730/14113194925187145369104957538282465008968926473113153898509254149609081043*t^23 - 938074137447933241158867539322041861514818859742801132559830834617512770070/42339584775561436107314872614847395026906779419339461695527762448827243129*t^21 + 130458381837320677261508328655501579144811665538070516032847672482466843568550/25550082412719065224268590760226418363868640205035429191948569209689661086109*t^19 - 24446968623026101219327715856124716763670676669226624156672232746809191982900710/26495435461989670637566528618354795843331779892621740072050666270448178546295033*t^17 + 29416516104071199977007246283794236467736472039330382347362104239463326932061815/229107588994851857866016453346950293468810096718552693564202820103287190959139403*t^15 - 146442712305907678761268758877413558710510522094442228291014678599421491772575/10909885190231040850762688254616680641371909367550128264962039052537485283768543*t^13 + 3705953280634300630983944014524858584710623973800776336063165158664040909505/3636628396743680283587562751538893547123969789183376088320679684179161761256181*t^11 - 478103959306678248735256698561341161283417326096577743068562467619469156645/8926269701098124332442199481050011433849744027995559489514395588439760686719717*t^9 + 1801690286586865613046281760957328881422708676416534687121565797570353191/991807744566458259160244386783334603761082669777284387723821732048862298524413*t^7 - 35278688319719015065468369370799816975020773777851325302191489983366699/991807744566458259160244386783334603761082669777284387723821732048862298524413*t^5 + 18498667294081754579301708930228920969275264068077281266475096360865/56140061013195750518504399251886864363834868100601003078706890493331828218363*t^3 - 6339999823056970026701232630842665334613977200832663974707777026165/6942654211965207814121710707483342226327578688440990714066752124342036089670891*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:
| (0.99597799613168455532 - 3.4570686054695138961e-910j)  +/-  (1.59e-238, 1.59e-238j)
| (-0.99597799613168455532 - 6.4783613680830014396e-923j)  +/-  (1.51e-238, 1.51e-238j)
| (-0.93727339240070590431 - 6.820393651183737014e-924j)  +/-  (4.66e-239, 4.66e-239j)
| (0.13464168835171154281 - 8.8233113785953402043e-940j)  +/-  (4.52e-253, 4.52e-253j)
| (0.95857602161549758623 + 5.0742196326872964634e-924j)  +/-  (8.2e-239, 8.2e-239j)
| (0.93727339240070590431 + 1.08274458210368072e-935j)  +/-  (4.46e-239, 4.46e-239j)
| (-0.98799251802048542849 + 5.9252973075251241316e-941j)  +/-  (1.72e-238, 1.72e-238j)
| (-0.91169731318153143682 - 7.5907542708469452285e-947j)  +/-  (2e-239, 2e-239j)
| (-0.99953016972042246068 + 3.9876243519901503123e-942j)  +/-  (6.61e-239, 6.61e-239j)
| (0.99953016972042246068 - 2.4490300224634158591e-942j)  +/-  (7.44e-239, 7.44e-239j)
| (0.91169731318153143682 - 5.3890072236535119319e-960j)  +/-  (2.14e-239, 2.14e-239j)
| (-0.2011940939974345223 + 6.2081672999496127843e-985j)  +/-  (9.54e-252, 9.54e-252j)
| (-0.8482065834104272162 - 1.0915413896129205739e-976j)  +/-  (2.61e-240, 2.61e-240j)
| (-0.88196356131530858238 - 1.5232982097204606218e-975j)  +/-  (7.8e-240, 7.8e-240j)
| (0.98799251802048542849 - 5.6631939383177374066e-973j)  +/-  (1.68e-238, 1.68e-238j)
| (0.81057948328431200325 + 3.499822435560023718e-988j)  +/-  (7.04e-241, 7.04e-241j)
| (0.8482065834104272162 + 1.6986129176969649135e-984j)  +/-  (2.45e-240, 2.45e-240j)
| (0.67627669163124455112 - 2.7019033699304863603e-995j)  +/-  (4.74e-243, 4.74e-243j)
| (-0.76925362315950794564 + 1.052217094667626633e-992j)  +/-  (1.47e-241, 1.47e-241j)
| (-0.97550815735645113941 - 2.0130957556032163517e-989j)  +/-  (1.32e-238, 1.32e-238j)
| (0.88196356131530858238 + 1.1596703748390555968e-990j)  +/-  (7.88e-240, 7.88e-240j)
| (0.76925362315950794564 - 3.8876779196646414089e-1001j)  +/-  (1.5e-241, 1.5e-241j)
| (0.97550815735645113941 - 2.2238390067919201633e-1015j)  +/-  (1.46e-238, 1.46e-238j)
| (-0.67627669163124455112 - 2.1785942108378694932e-1034j)  +/-  (4.74e-243, 4.74e-243j)
| (-0.81057948328431200325 + 1.2194155696554106287e-1029j)  +/-  (7.43e-241, 7.43e-241j)
| (-7.5624863851853815259e-1045 + 1.1960241946612414697e-1044j)  +/-  (6.65e-1043, 6.65e-1043j)
| (0.72441773136017004742 + 1.8465612461221782454e-1033j)  +/-  (2.91e-242, 2.91e-242j)
| (0.45525876390058537629 + 9.5120763646481382444e-1038j)  +/-  (7.08e-247, 7.08e-247j)
| (-0.95857602161549758623 + 5.8256601759312170774e-1034j)  +/-  (8.39e-239, 8.39e-239j)
| (-0.72441773136017004742 - 2.1166771589225201881e-1042j)  +/-  (2.94e-242, 2.94e-242j)
| (-0.3941513470775633699 + 1.3560447386875665131e-1049j)  +/-  (4.83e-248, 4.83e-248j)
| (0.51428883112076905405 + 1.2869601265674621894e-1044j)  +/-  (8.53e-246, 8.53e-246j)
| (0.57097217260853884754 - 1.9008281882829498994e-1043j)  +/-  (8.25e-245, 8.25e-245j)
| (-0.067474833600377421007 - 2.7805726574731997105e-1054j)  +/-  (2.02e-254, 2.02e-254j)
| (-0.62505029861990956575 + 2.4359234170298349907e-1045j)  +/-  (7.13e-244, 7.13e-244j)
| (-0.57097217260853884754 - 8.1865748382305083773e-1046j)  +/-  (7.93e-245, 7.93e-245j)
| (0.2011940939974345223 + 1.707537906608860026e-1051j)  +/-  (8.92e-252, 8.92e-252j)
| (0.62505029861990956575 - 4.9556140294432625066e-1048j)  +/-  (6.31e-244, 6.31e-244j)
| (0.2668284964702023321 + 9.1244119860690842542e-1055j)  +/-  (1.92e-250, 1.92e-250j)
| (-0.33124554648577636981 + 9.4984143697133346585e-1054j)  +/-  (3.29e-249, 3.29e-249j)
| (-0.51428883112076905405 + 4.2694529999704971561e-1052j)  +/-  (8.53e-246, 8.53e-246j)
| (-0.13464168835171154281 - 2.6886139074015607842e-1058j)  +/-  (4.96e-253, 4.96e-253j)
| (0.33124554648577636981 - 1.8686408373360603427e-1053j)  +/-  (2.96e-249, 2.96e-249j)
| (0.3941513470775633699 + 3.2463144745060671469e-1052j)  +/-  (4.78e-248, 4.78e-248j)
| (0.067474833600377421007 - 6.2517638884455066742e-1059j)  +/-  (2.02e-254, 2.02e-254j)
| (-0.45525876390058537629 - 1.3751700090674691409e-1051j)  +/-  (7.03e-247, 7.03e-247j)
| (-0.2668284964702023321 - 6.9676215824489455492e-1055j)  +/-  (1.96e-250, 1.96e-250j)
-------------------------------------------------
The weights are:
| (0.0057317670483799503076 + 2.5433428053458775134e-911j)  +/-  (7.59e-67, 4.24e-181j)
| (0.0057317670483799503076 + 9.9475651037023939701e-913j)  +/-  (3.04e-67, 1.7e-181j)
| (0.023457098407637142138 + 2.1902665336974138269e-912j)  +/-  (2.15e-67, 1.2e-181j)
| (0.066910510226631767316 + 8.3519607270523457473e-912j)  +/-  (1.2e-67, 6.68e-182j)
| (0.019131973880384726554 - 1.0194024565199319642e-910j)  +/-  (4.07e-68, 2.28e-182j)
| (0.023457098407637142138 + 7.2129535818983739822e-911j)  +/-  (3.58e-68, 2e-182j)
| (0.010240377446484370613 - 1.3841063891656826134e-912j)  +/-  (1.96e-68, 1.09e-182j)
| (0.027675764533205250969 - 2.4155399451844443863e-912j)  +/-  (4.17e-69, 2.33e-183j)
| (0.0015308610204417183191 - 3.8522016925352311324e-913j)  +/-  (1.81e-68, 1.01e-182j)
| (0.0015308610204417183191 + 2.1640552583118191106e-910j)  +/-  (1.03e-69, 5.77e-184j)
| (0.027675764533205250969 - 5.4675232221909388872e-911j)  +/-  (3.06e-70, 1.71e-184j)
| (0.066143687461846904679 - 5.9743989292730232486e-912j)  +/-  (5.16e-72, 2.88e-186j)
| (0.035719099805457761991 - 2.8442748201501160733e-912j)  +/-  (1.39e-70, 7.78e-185j)
| (0.031769332293929735802 + 2.6321798357092056783e-912j)  +/-  (5.23e-70, 2.92e-184j)
| (0.010240377446484370613 - 3.4387750194029239798e-910j)  +/-  (4.42e-70, 2.47e-184j)
| (0.039506524709960629581 + 2.9769371856000558221e-911j)  +/-  (9.91e-73, 5.53e-187j)
| (0.035719099805457761991 - 3.5496498725443357919e-911j)  +/-  (2.08e-72, 1.16e-186j)
| (0.04972153376919132325 - 1.9383844174140772619e-911j)  +/-  (9.05e-75, 5.05e-189j)
| (0.043113719873267230484 - 3.2673851766530906355e-912j)  +/-  (1.67e-74, 9.35e-189j)
| (0.014719355044060823222 + 1.687831549865675667e-912j)  +/-  (4.26e-72, 2.38e-186j)
| (0.031769332293929735802 + 4.3354860357242482237e-911j)  +/-  (2.69e-72, 1.5e-186j)
| (0.043113719873267230484 - 2.5439221864998794709e-911j)  +/-  (5.95e-74, 3.32e-188j)
| (0.014719355044060823222 + 1.6255802337143873606e-910j)  +/-  (1.12e-71, 6.27e-186j)
| (0.04972153376919132325 - 3.7057993103842761438e-912j)  +/-  (3.27e-77, 1.83e-191j)
| (0.039506524709960629581 + 3.0550908749796093148e-912j)  +/-  (1.67e-75, 9.31e-190j)
| (0.067526214579152929636 + 7.2561109950441011749e-912j)  +/-  (1.09e-78, 6.09e-193j)
| (0.046523895187427337808 + 2.2069160279170116047e-911j)  +/-  (2.7e-75, 1.51e-189j)
| (0.060114483482598040643 - 1.2607848854599351241e-911j)  +/-  (1.63e-78, 9.09e-193j)
| (0.019131973880384726554 - 1.9507091824559936873e-912j)  +/-  (6.94e-75, 3.87e-189j)
| (0.046523895187427337808 + 3.4835630622176437189e-912j)  +/-  (3.67e-77, 2.05e-191j)
| (0.062053831785895037207 + 4.9828644339128414136e-912j)  +/-  (2.28e-80, 1.28e-194j)
| (0.05790073307992878221 + 1.3888853051200186482e-911j)  +/-  (4.82e-79, 2.69e-193j)
| (0.055422850302339376053 - 1.5399206395076396713e-911j)  +/-  (8.08e-79, 4.51e-193j)
| (0.067372097390831874942 - 6.787950606173947785e-912j)  +/-  (7.5e-81, 4.19e-195j)
| (0.052692300497162701864 + 3.9361638684354322081e-912j)  +/-  (7.88e-80, 4.4e-194j)
| (0.055422850302339376053 - 4.1767457102984411319e-912j)  +/-  (1.41e-80, 7.87e-195j)
| (0.066143687461846904679 - 8.999155159305431548e-912j)  +/-  (9.18e-82, 5.13e-196j)
| (0.052692300497162701864 + 1.7201824092190732357e-911j)  +/-  (6.04e-80, 3.37e-194j)
| (0.065075205436722723559 + 9.7293575091357819108e-912j)  +/-  (4.65e-82, 2.6e-196j)
| (0.063709890026638325671 - 5.2885043309457134165e-912j)  +/-  (4.58e-83, 2.56e-197j)
| (0.05790073307992878221 + 4.4297536756193725169e-912j)  +/-  (1.52e-82, 8.51e-197j)
| (0.066910510226631767316 + 6.3627470086448365069e-912j)  +/-  (5.11e-83, 2.85e-197j)
| (0.063709890026638325671 - 1.0559176789107990086e-911j)  +/-  (3.54e-83, 1.98e-197j)
| (0.062053831785895037207 + 1.1509669891995854337e-911j)  +/-  (4.14e-83, 2.31e-197j)
| (0.067372097390831874942 - 7.7745187862773735834e-912j)  +/-  (9.87e-84, 5.52e-198j)
| (0.060114483482598040643 - 4.6975838405509223183e-912j)  +/-  (1.74e-84, 9.92e-199j)
| (0.065075205436722723559 + 5.6177697860860354083e-912j)  +/-  (1.9e-84, 1.05e-198j)
