Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 49
-------------------------------------------------
Trying to find an order 49 Kronrod extension for:
P1 : 64*t^6 - 480*t^4 + 720*t^2 - 120
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 64*t^55 - 14440367788501149589734194937778315146842228731816561760/338071256417604147929271014526164762694207273539701*t^53 + 49010137556373613971617318317329952785115808207948674302320/3718783820593645627221981159787812389636280008936711*t^51 - 4489339539088243368635745469205303131366943592683411586915960/1796715778489064741242080785066021716341124049261557*t^49 + 52188561680066777480079720643404323048737967013322562277084741720/159907704285526761970545189870875932754360040384278573*t^47 - 4991108735880619165398809831033658880993778703058612902546935004180/159907704285526761970545189870875932754360040384278573*t^45 + 32963953366630701802956231783154683537333703592299744209889832523450/14537064025956978360958653624625084795850912762207143*t^43 - 43327217571970470371063012595836369869808293222210092169463906076525/338071256417604147929271014526164762694207273539701*t^41 + 7741900548580754677214243575121618458662201522649186822619102678077575/1352285025670416591717084058104659050776829094158804*t^39 - 29076851698398510152833391154955370022790354418138404272706202684097675/142345792175833325443903585063648321134403062543032*t^37 + 1668301435827925743750985974349213840302843609548357078255098256128977525/284691584351666650887807170127296642268806125086064*t^35 - 4065295151665844901210824515166617824952311426482425323639299643775507125/29967535194912279040821807381820699186190118430112*t^33 + 722248293396061028619346267453105926485336905697204572030184048295381514875/284691584351666650887807170127296642268806125086064*t^31 - 1147330209765929369420702284546343369018800130495870235103205311764128142375/29967535194912279040821807381820699186190118430112*t^29 + 529261256851069002126001523600176587952080666039804269083761247444911451926375/1138766337406666603551228680509186569075224500344256*t^27 - 10281986957869737462568131612676930958787997425769292993051063644788392348134125/2277532674813333207102457361018373138150449000688512*t^25 + 634536288777780564814503894722473883214695391693166437980564062530948389632790625/18220261398506665656819658888146985105203592005508096*t^23 - 7697018965317305490353286562133365191485313981658527762487679304473272882316784375/36440522797013331313639317776293970210407184011016192*t^21 + 72452797542102041637142978290235383589697801659554133765696861074679083335175590625/72881045594026662627278635552587940420814368022032384*t^19 - 27387898630214713066417356856280458413206309047161201551541975176619656685081440625/7671689009897543434450382689746098991664670318108672*t^17 + 1394751157514311111147828215641595778825345622834899881378171874888344468916157315625/145762091188053325254557271105175880841628736044064768*t^15 - 5419208847605167481890612925576385061806854681686246829241061024696801628827315734375/291524182376106650509114542210351761683257472088129536*t^13 + 14657574470927109697616566355061292096466151762910977431666209218203563295640734203125/583048364752213301018229084420703523366514944176259072*t^11 - 26030206564680774376167838895587504485720954956007282713283636290203494425050482984375/1166096729504426602036458168841407046733029888352518144*t^9 + 55419124056555958030372154729067193657452057866516426039550719731162827761120222296875/4664386918017706408145832675365628186932119553410072576*t^7 - 30160231788089941534287376467415081947935734052196563660506576851267099079186735078125/9328773836035412816291665350731256373864239106820145152*t^5 + 5917386825307713939043380126258033542434490762153289339140924397290006621137486171875/18657547672070825632583330701462512747728478213640290304*t^3 - 50921732550984757027110272708475065757538784426139582027427669641357679954964765625/37315095344141651265166661402925025495456956427280580608*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:
| (-4.9595452903201779934 + 3.6456293646741920059e-923j)  +/-  (1.01e-242, 1.01e-242j)
| (-6.836429069391509648 - 1.0429354374697873476e-924j)  +/-  (1.07e-242, 1.07e-242j)
| (9.3887843052595443999 + 4.4003405311637807044e-935j)  +/-  (3.88e-246, 3.88e-246j)
| (-8.7341246872402814703 + 1.5832710013409913678e-945j)  +/-  (7.03e-245, 7.03e-245j)
| (7.7062482524264585701 + 2.732818054650145862e-950j)  +/-  (1.98e-243, 1.98e-243j)
| (7.2581568466015911243 - 2.620468531458565311e-964j)  +/-  (4.73e-243, 4.73e-243j)
| (-4.274543744350478832 - 2.1421762923207667278e-968j)  +/-  (2.73e-243, 2.73e-243j)
| (-8.1913464963688356565 + 1.9736063495476684278e-969j)  +/-  (4.86e-244, 4.86e-244j)
| (-7.2581568466015911243 - 5.7790298336564336999e-967j)  +/-  (5.2e-243, 5.2e-243j)
| (4.9595452903201779934 - 2.2503523471285496988e-966j)  +/-  (1.03e-242, 1.03e-242j)
| (-7.7062482524264585701 - 6.3874676595756052421e-971j)  +/-  (2.1e-243, 2.1e-243j)
| (8.1913464963688356565 - 2.2582811033342836811e-971j)  +/-  (4.65e-244, 4.65e-244j)
| (-5.3130630425953453032 - 1.1840384836895053722e-968j)  +/-  (1.47e-242, 1.47e-242j)
| (5.3130630425953453032 - 2.8147859523992065415e-969j)  +/-  (1.54e-242, 1.54e-242j)
| (-6.4346831419048121114 + 7.6969008277381720581e-970j)  +/-  (1.42e-242, 1.42e-242j)
| (1.3358490740136969497 - 3.4842200542168122629e-980j)  +/-  (2.41e-249, 2.41e-249j)
| (-9.3887843052595443999 + 2.2726783823066024337e-975j)  +/-  (3.99e-246, 3.99e-246j)
| (-5.6755661204505454337 - 3.0823285740960597192e-972j)  +/-  (1.8e-242, 1.8e-242j)
| (-2.3506049736744922228 - 5.0268347866295293182e-977j)  +/-  (2.04e-246, 2.04e-246j)
| (4.274543744350478832 - 7.1714436477008224352e-972j)  +/-  (2.74e-243, 2.74e-243j)
| (8.7341246872402814703 + 4.3031503132587297945e-976j)  +/-  (6.77e-245, 6.77e-245j)
| (4.6137154916019970628 + 4.4629880638155161899e-975j)  +/-  (5.52e-243, 5.52e-243j)
| (-6.0487139770127163306 - 3.424362667767228382e-986j)  +/-  (1.82e-242, 1.82e-242j)
| (2.0583015314943929872 + 3.7249503234595439703e-990j)  +/-  (4.42e-247, 4.42e-247j)
| (-1.5918541260557602528 - 1.7074823130673586144e-991j)  +/-  (2.4e-248, 2.4e-248j)
| (6.4346831419048121114 - 2.112791195071312462e-984j)  +/-  (1.4e-242, 1.4e-242j)
| (3.6130876283344475462 + 2.8504557497792632616e-996j)  +/-  (4.42e-244, 4.42e-244j)
| (-4.6137154916019970628 + 1.6448389883282312867e-999j)  +/-  (6.32e-243, 6.32e-243j)
| (-1.3358490740136969497 + 1.8492394324728601568e-1006j)  +/-  (2.27e-249, 2.27e-249j)
| (-2.6573253729471169258 - 7.3916832191964978939e-1005j)  +/-  (8.77e-246, 8.77e-246j)
| (-2.0583015314943929872 + 8.9748084847844025727e-1004j)  +/-  (4.9e-247, 4.9e-247j)
| (6.836429069391509648 - 4.7653185473012692157e-998j)  +/-  (1.01e-242, 1.01e-242j)
| (1.0457839097679520397 + 2.1512848649590960629e-1017j)  +/-  (1.49e-250, 1.49e-250j)
| (6.0487139770127163306 - 5.1937919305386613914e-1008j)  +/-  (1.93e-242, 1.93e-242j)
| (-3.9412116865326488286 - 1.6088379730356244001e-1017j)  +/-  (1.15e-243, 1.15e-243j)
| (-0.7445500272579812624 - 6.2234373224244213136e-1028j)  +/-  (7.65e-252, 7.65e-252j)
| (0.067129178901168404043 + 8.0625203910953567151e-1029j)  +/-  (1.12e-254, 1.12e-254j)
| (0.7445500272579812624 - 2.4562801872672548311e-1026j)  +/-  (7.65e-252, 7.65e-252j)
| (0.43607741192761650868 + 1.4772728887122293181e-1027j)  +/-  (3.58e-253, 3.58e-253j)
| (-3.2897388717461553498 + 9.1392740020180644443e-1020j)  +/-  (1.23e-244, 1.23e-244j)
| (-0.067129178901168404043 - 6.78722335883798418e-1029j)  +/-  (1.12e-254, 1.12e-254j)
| (-2.9710150608158365715 - 4.5348345625498918592e-1020j)  +/-  (3.03e-245, 3.03e-245j)
| (2.9710150608158365715 - 1.9073430720497039091e-1017j)  +/-  (3.27e-245, 3.27e-245j)
| (1.5918541260557602528 + 3.0581298103740515792e-1026j)  +/-  (2.35e-248, 2.35e-248j)
| (-1.3162555098888135394e-1043 - 1.3636067761608407723e-1044j)  +/-  (7.28e-1042, 7.28e-1042j)
| (-1.805637077575471406 - 8.3962808160281757044e-1026j)  +/-  (1.15e-247, 1.15e-247j)
| (-3.6130876283344475462 + 6.7251064313544898945e-1022j)  +/-  (4.35e-244, 4.35e-244j)
| (5.6755661204505454337 + 6.0442984769134867329e-1022j)  +/-  (1.72e-242, 1.72e-242j)
| (2.3506049736744922228 + 6.154224064202292067e-1033j)  +/-  (1.9e-246, 1.9e-246j)
| (3.9412116865326488286 + 4.2917031867073367061e-1037j)  +/-  (1.26e-243, 1.26e-243j)
| (-0.43607741192761650868 - 1.9684044809127887665e-1055j)  +/-  (3.58e-253, 3.58e-253j)
| (-1.0457839097679520397 - 4.5273407542687906798e-1053j)  +/-  (1.46e-250, 1.46e-250j)
| (1.805637077575471406 + 1.738455943349222854e-1049j)  +/-  (1.18e-247, 1.18e-247j)
| (3.2897388717461553498 + 4.2585328457101697915e-1052j)  +/-  (1.22e-244, 1.22e-244j)
| (2.6573253729471169258 - 9.7220331340267406383e-1057j)  +/-  (7.83e-246, 7.83e-246j)
-------------------------------------------------
The weights are:
| (4.0970375974028650047e-12 + 8.3894709504077850089e-934j)  +/-  (5.37e-64, 1.39e-184j)
| (1.1685305283038509778e-21 + 4.8327694570301902433e-940j)  +/-  (1.16e-71, 3e-192j)
| (2.223703691941569146e-39 + 3.2671846259422248604e-950j)  +/-  (2.49e-80, 6.44e-201j)
| (2.4419225731923036583e-34 + 5.1388825800690319228e-947j)  +/-  (4.34e-78, 1.12e-198j)
| (4.2372658978799152413e-27 - 9.3914516195005470146e-944j)  +/-  (4.56e-76, 1.18e-196j)
| (3.2322691020330189938e-24 + 3.2391380337953026535e-942j)  +/-  (7.7e-75, 1.99e-195j)
| (2.2010257055141022877e-09 + 8.2645730605927871989e-933j)  +/-  (1.22e-63, 3.15e-184j)
| (2.0790417534014428667e-30 - 6.7493984892564080288e-945j)  +/-  (2.29e-77, 5.92e-198j)
| (3.2322691020330189938e-24 - 1.7216944413664993684e-941j)  +/-  (6.64e-75, 1.72e-195j)
| (4.0970375974028650047e-12 + 1.5058131919005456514e-935j)  +/-  (3.62e-71, 9.35e-192j)
| (4.2372658978799152413e-27 + 4.3306667810588392698e-943j)  +/-  (2.9e-76, 7.5e-197j)
| (2.0790417534014428667e-30 + 1.6586456853832353844e-945j)  +/-  (1.56e-80, 4.04e-201j)
| (1.1104126487287825574e-13 + 5.56445338707937549e-935j)  +/-  (3.79e-70, 9.79e-191j)
| (1.1104126487287825574e-13 - 1.914933226585083249e-936j)  +/-  (2.79e-73, 7.21e-194j)
| (2.3126062530864308201e-19 - 1.0461217226558219163e-938j)  +/-  (1.3e-73, 3.37e-194j)
| (0.026444500587955789637 + 1.1319618450762431249e-928j)  +/-  (7.93e-52, 2.05e-172j)
| (2.223703691941569146e-39 - 1.0583916403216287407e-949j)  +/-  (3.29e-83, 8.5e-204j)
| (2.1241296703985382191e-15 - 3.0747408242359084488e-936j)  +/-  (9.4e-72, 2.43e-192j)
| (0.00067813728352547209222 + 1.2107071894897355448e-929j)  +/-  (1.5e-61, 3.88e-182j)
| (2.2010257055141022877e-09 + 6.1308154920528287509e-934j)  +/-  (4.22e-72, 1.09e-192j)
| (2.4419225731923036583e-34 - 1.4165005747206598665e-947j)  +/-  (1.42e-84, 3.68e-205j)
| (1.0998657023240564223e-10 - 1.0248205362654940114e-934j)  +/-  (4.51e-73, 1.17e-193j)
| (2.7588018089743498003e-17 + 1.881296416196744819e-937j)  +/-  (4.13e-74, 1.07e-194j)
| (0.0022744154107038305152 - 1.6337816776432423612e-929j)  +/-  (5.51e-64, 1.42e-184j)
| (0.010157872514983037367 - 1.6735189592295798071e-928j)  +/-  (1.44e-60, 3.72e-181j)
| (2.3126062530864308201e-19 + 1.3543551041910344477e-939j)  +/-  (2.66e-79, 6.88e-200j)
| (3.933377499247510755e-07 + 1.5760290864613707109e-932j)  +/-  (1.21e-71, 3.12e-192j)
| (1.0998657023240564223e-10 - 2.8369057018266873565e-933j)  +/-  (3.46e-72, 8.94e-193j)
| (0.026444500587955789637 + 1.9665404401275601013e-928j)  +/-  (6.07e-61, 1.57e-181j)
| (0.00015035832859215804425 - 3.7257108733592767921e-930j)  +/-  (6.06e-68, 1.57e-188j)
| (0.0022744154107038305152 - 3.9519694677788171342e-929j)  +/-  (1.72e-65, 4.43e-186j)
| (1.1685305283038509778e-21 - 7.6896775836335714552e-941j)  +/-  (1.57e-80, 4.05e-201j)
| (0.056203886650641485841 - 1.539671115028537583e-928j)  +/-  (3.12e-62, 8.05e-183j)
| (2.7588018089743498003e-17 - 1.8613799473075492107e-938j)  +/-  (8.53e-79, 2.2e-199j)
| (3.3482424709081255211e-08 - 2.8578852673723953669e-932j)  +/-  (1.99e-72, 5.14e-193j)
| (0.098688114874972918433 + 3.2543533463264817904e-928j)  +/-  (9.18e-63, 2.37e-183j)
| (0.57824650144840497236 + 7.1422909022892985021e-927j)  +/-  (5.59e-63, 1.44e-183j)
| (0.098688114874972918433 + 2.4047783725057875604e-928j)  +/-  (1.04e-63, 2.69e-184j)
| (0.14662983408626957028 - 4.6481638508255107e-928j)  +/-  (1.95e-63, 5.05e-184j)
| (3.6131644604462388308e-06 - 3.4410838268933638864e-931j)  +/-  (1.48e-71, 3.83e-192j)
| (0.57824650144840497236 + 7.3382905812929897464e-927j)  +/-  (2.78e-64, 7.18e-185j)
| (2.6188099156980285308e-05 + 1.1446295341056031447e-930j)  +/-  (1.05e-70, 2.72e-191j)
| (2.6188099156980285308e-05 + 2.8700762985502495662e-931j)  +/-  (7.39e-75, 1.91e-195j)
| (0.010157872514983037367 - 8.6025834751600089718e-929j)  +/-  (1.36e-69, 3.52e-190j)
| (-0.84862864108158567755 - 1.3804172213415847203e-926j)  +/-  (2.9e-64, 7.49e-185j)
| (0.0048104689557290372802 + 1.0492872401323499747e-928j)  +/-  (2.81e-68, 7.26e-189j)
| (3.933377499247510755e-07 + 1.0034263905560832749e-931j)  +/-  (1.59e-72, 4.1e-193j)
| (2.1241296703985382191e-15 + 2.0701079011503473325e-937j)  +/-  (4.23e-80, 1.09e-200j)
| (0.00067813728352547209222 + 4.3209285621706617805e-930j)  +/-  (9.05e-74, 2.33e-194j)
| (3.3482424709081255211e-08 - 3.2697021893629552833e-933j)  +/-  (4.12e-77, 1.07e-197j)
| (0.14662983408626957028 - 5.5443606291695260993e-928j)  +/-  (7.4e-70, 1.91e-190j)
| (0.056203886650641485841 - 2.3624922263036750291e-928j)  +/-  (3.53e-71, 9.11e-192j)
| (0.0048104689557290372802 + 4.8917474169823895241e-929j)  +/-  (1.18e-72, 3.05e-193j)
| (3.6131644604462388308e-06 - 6.9653880295317170702e-932j)  +/-  (2.32e-76, 6.07e-197j)
| (0.00015035832859215804425 - 1.1261066460990703305e-930j)  +/-  (4.02e-75, 1.02e-195j)
