Starting with polynomial:
P : 300540195/32768*t^16 - 145422675/4096*t^14 + 456326325/8192*t^12 - 185910725/4096*t^10 + 334639305/16384*t^8 - 20369349/4096*t^6 + 4849845/8192*t^4 - 109395/4096*t^2 + 6435/32768
Extension levels are: 16 34
-------------------------------------------------
Trying to find an order 34 Kronrod extension for:
P1 : 300540195/32768*t^16 - 145422675/4096*t^14 + 456326325/8192*t^12 - 185910725/4096*t^10 + 334639305/16384*t^8 - 20369349/4096*t^6 + 4849845/8192*t^4 - 109395/4096*t^2 + 6435/32768
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 300540195/32768*t^50 - 29355809106181565752688432681879616954595562668616820768550261935834799130678289/253737493588473484148652561120003695894068143768692752357165411670248161280*t^48 + 8703844190128762895094306493685348587686041403695692207915467054783052867813833/12686874679423674207432628056000184794703407188434637617858270583512408064*t^46 - 32250609151769655588122985648494328487752413427707840646919795223989826227567759/12686874679423674207432628056000184794703407188434637617858270583512408064*t^44 + 1600515595847693282099637459845928693475682962921768044024136714885931240381678640597/242547670121221803497696983174611532905139738628493401978214417015590217367552*t^42 - 46396283375964985182724171204256136075369604538939856145624186821799220362570158771977/3638215051818327052465454747619172993577096079427401029673216255233853260513280*t^40 + 223260943327328887372877074556594873697652690397355771783101994000051500266782052513851323/11730211696237589471657370348782150260124820609420512153171394742916481887438233600*t^38 - 3741334418245545569893278601003777551755202943206783017930645226522098795210603946136085111/166569006086573770497534658952706533693772452653771272575033805349414042801622917120*t^36 + 127640252243619922681973534895006123300464477438556415902591491969922293838684134250061453361/5996484219116655737911247722297435212975808295535765812701216992578905540858425016320*t^34 - 2972995672605948105836089562109579134049287920135010956617021511332103980066014591101895827/181711643003535022360946900675679854938660857440477751900036878562997137601770455040*t^32 + 5360076782795447280301094312891315301894998026161452336002556442399724082720756677497320911/522420973635163189287722339442579582948649965141373536712606025868616770605090058240*t^30 - 11248122779272306242932502192359923740603062844196941305683690845828656493869541559552061887/2137176710325667592540682297719643748426295311941982650187933742189795879748095692800*t^28 + 768954544871828621362770926379654107653748323379575477327975365699994512662411338016050177/348280649090108792858481559628386388632433310094249024475070683912411180403393372160*t^26 - 3103711097389604936129336886558334570317511871781173797530298271675896245114364390209650053/4109711659263283755730082403614959385862713059112138488805834070166451928760041791488*t^24 + 65062590550981894697238928976876854417179563342713963774774991089995488746343075596656844981/310640596505618209101597750377591604014014202315932728816910544825407681658666637152256*t^22 - 53180687878303616940984953811252693798909830142073999678305416389829513847440296721736992755/1139015520520600100039191751384502548051385408491753338995338664359828166081777669558272*t^20 + 210089131712543240307134856966225922060466772839701090437390991087915267951509552648342449887/25418030563196549600874594873001530545988811221079127143895978615187744337824933257510912*t^18 - 5839913024265587010235570991145614257141196911664290494776147637935077828607151376021142086645/5109024143202506469775793569473307639743751055436904555923091701652736611902811584759693312*t^16 + 51436323395659822682154436873198790221284695734493521135518510050640738302147910281192102065/425752011933542205814649464122775636645312587953075379660257641804394717658567632063307776*t^14 - 4033698857603740884941605818935312024955478669601961411065555192613539646281920980872106055/425752011933542205814649464122775636645312587953075379660257641804394717658567632063307776*t^12 + 368739629509486473536534590646738477770887861376150734042586355456286103838043690962054141/696685110436705427696699123109996496328693325741396075807694322952645901623110670649049088*t^10 - 7691999700215667849432751505854529863043945860997294217209449565612541654302374832606051/387047283575947459831499512838886942404829625411886708782052401640358834235061483693916160*t^8 + 1616187724461014082993259604793685720664022533188463516900841779602066567144502600497/3518611668872249634831813753080790385498451140108060988927749105821443947591468033581056*t^6 - 655488143389769708360017912655733218761898514639503944710731907244228279768658855039/116114185072784237949449853851666082721448887623566012634615720492107650270518445108174848*t^4 + 4279015947797062898455908386107511920608771186143543184192285799316340085335631057/154818913430378983932599805135554776961931850164754683512820960656143533694024593477566464*t^2 - 3488809078671113483602462826934162888783316827890242816277384011384551356627635/154818913430378983932599805135554776961931850164754683512820960656143533694024593477566464
-------------------------------------------------
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:
| (-0.9995855065602092963 + 1.9957465820630558794e-894j)  +/-  (9.22e-238, 9.22e-238j)
| (0.9894009349916499326 + 5.1953030256626152597e-899j)  +/-  (2.2e-237, 2.2e-237j)
| (-0.92193586295590506533 + 1.8613028636324162671e-925j)  +/-  (3.35e-238, 3.35e-238j)
| (0.99645045854805997014 + 6.1488834827209653488e-930j)  +/-  (2.14e-237, 2.14e-237j)
| (0.94457502307323257608 + 7.4821517086885294219e-948j)  +/-  (7.02e-238, 7.02e-238j)
| (0.83219061660600495431 + 2.4731056746132753455e-955j)  +/-  (1.48e-239, 1.48e-239j)
| (-0.99645045854805997014 + 1.5325317453617050734e-950j)  +/-  (2.06e-237, 2.06e-237j)
| (-0.94457502307323257608 + 4.5000200390397614418e-954j)  +/-  (7.11e-238, 7.11e-238j)
| (-0.40074694737530319711 - 5.9438134078274051153e-964j)  +/-  (2.28e-247, 2.28e-247j)
| (-0.9894009349916499326 + 2.186019587784064318e-952j)  +/-  (2.29e-237, 2.29e-237j)
| (0.86563120238783174388 + 5.7160591364505771436e-955j)  +/-  (4.81e-239, 4.81e-239j)
| (0.9995855065602092963 - 3.6845442463797229571e-957j)  +/-  (9.42e-238, 9.42e-238j)
| (-0.89558624440119567837 + 1.2495951046628038341e-974j)  +/-  (1.44e-238, 1.44e-238j)
| (-0.79539892151452834934 - 9.388451963076754395e-978j)  +/-  (3.77e-240, 3.77e-240j)
| (0.97837549488167945181 + 1.0253553063587194205e-970j)  +/-  (1.84e-237, 1.84e-237j)
| (0.79539892151452834934 - 3.7355510831855025049e-987j)  +/-  (3.51e-240, 3.51e-240j)
| (0.96341344369186308998 - 1.0249650044817102781e-983j)  +/-  (1.31e-237, 1.31e-237j)
| (-0.97837549488167945181 + 2.4780065254212932037e-992j)  +/-  (1.9e-237, 1.9e-237j)
| (-0.7554044083550030339 + 1.8859911932230556814e-998j)  +/-  (7.59e-241, 7.59e-241j)
| (-0.96341344369186308998 - 2.9791572988052652424e-995j)  +/-  (1.31e-237, 1.31e-237j)
| (0.89558624440119567837 - 3.2015066732350285962e-996j)  +/-  (1.41e-238, 1.41e-238j)
| (0.7554044083550030339 - 3.1730330269728314646e-1006j)  +/-  (8e-241, 8e-241j)
| (-0.34186351340018880966 - 5.8622194250808407308e-1017j)  +/-  (1.51e-248, 1.51e-248j)
| (-0.83219061660600495431 - 2.5025189401087187512e-1007j)  +/-  (1.34e-239, 1.34e-239j)
| (-0.71236832638854150982 - 1.5687034063201237227e-1009j)  +/-  (1.37e-241, 1.37e-241j)
| (0.22020966407969538298 + 1.2841454127947313009e-1018j)  +/-  (4.37e-251, 4.37e-251j)
| (0.66646402503874242952 + 1.4090772536851886915e-1008j)  +/-  (2.15e-242, 2.15e-242j)
| (0.71236832638854150982 + 3.8746297222198226371e-1008j)  +/-  (1.45e-241, 1.45e-241j)
| (-0.095012509837637440185 - 2.4484760880444296557e-1021j)  +/-  (1e-253, 1e-253j)
| (-0.66646402503874242952 + 2.0749712381268114633e-1010j)  +/-  (2.49e-242, 2.49e-242j)
| (-0.86563120238783174388 + 2.078476824347508829e-1010j)  +/-  (4.87e-239, 4.87e-239j)
| (0.61787624440264374845 + 9.8094901628110768762e-1013j)  +/-  (2.86e-243, 2.86e-243j)
| (0.56680049276686370651 - 3.6377707310640339674e-1015j)  +/-  (3.23e-244, 3.23e-244j)
| (0.92193586295590506533 + 8.9563064482337356189e-1020j)  +/-  (3.4e-238, 3.4e-238j)
| (-0.61787624440264374845 - 6.3852341778053138579e-1030j)  +/-  (3.13e-243, 3.13e-243j)
| (-0.45801677765722738634 + 6.4641615202399667346e-1034j)  +/-  (2.73e-246, 2.73e-246j)
| (-0.031713399944832560974 + 1.6737736612498494521e-1042j)  +/-  (5e-255, 5e-255j)
| (0.513442374092915364 + 7.0528014143220371981e-1034j)  +/-  (3.37e-245, 3.37e-245j)
| (0.28160355077925891323 - 1.0942873154019877994e-1037j)  +/-  (8.71e-250, 8.71e-250j)
| (-0.22020966407969538298 - 1.1677934624898947404e-1038j)  +/-  (4.9e-251, 4.9e-251j)
| (-0.56680049276686370651 + 1.3730502265198153171e-1033j)  +/-  (3.51e-244, 3.51e-244j)
| (-0.1579290510849948021 + 1.9225521945667796017e-1043j)  +/-  (2.15e-252, 2.15e-252j)
| (0.34186351340018880966 - 4.4678537221245978894e-1040j)  +/-  (1.61e-248, 1.61e-248j)
| (0.40074694737530319711 - 9.7399790656528259302e-1038j)  +/-  (2.17e-247, 2.17e-247j)
| (0.031713399944832560974 - 9.8315384956602855907e-1046j)  +/-  (5e-255, 5e-255j)
| (-0.513442374092915364 + 4.7479501085078001722e-1037j)  +/-  (3.44e-245, 3.44e-245j)
| (-0.28160355077925891323 - 9.176838941776386218e-1042j)  +/-  (8.49e-250, 8.49e-250j)
| (0.095012509837637440185 - 4.5653188162034631087e-1045j)  +/-  (8.6e-254, 8.6e-254j)
| (0.45801677765722738634 - 1.0321706984357996686e-1037j)  +/-  (2.73e-246, 2.73e-246j)
| (0.1579290510849948021 - 8.9768087532311359574e-1046j)  +/-  (2.27e-252, 2.27e-252j)
-------------------------------------------------
The weights are:
| (0.0013508144464317908404 + 1.6052781258187489908e-894j)  +/-  (4.2e-61, 1.59e-174j)
| (0.0090415153910034015781 - 4.8437991235065303479e-897j)  +/-  (1.64e-61, 6.21e-175j)
| (0.024510658537779789313 + 2.0849974227570303092e-895j)  +/-  (6.62e-62, 2.51e-175j)
| (0.0050591785194292603348 + 3.4336290886843975787e-897j)  +/-  (1.11e-61, 4.21e-175j)
| (0.020752618295695188869 + 7.664261392056522736e-897j)  +/-  (3.71e-62, 1.4e-175j)
| (0.035139729473229232809 + 1.061477675490055854e-896j)  +/-  (1.31e-62, 4.94e-176j)
| (0.0050591785194292603348 - 2.2167461740214822381e-894j)  +/-  (1.85e-62, 7.01e-176j)
| (0.020752618295695188869 - 2.7029623524451391892e-895j)  +/-  (1.48e-63, 5.6e-177j)
| (0.058115638253474164976 + 4.1795296523751800239e-896j)  +/-  (7.19e-66, 2.72e-179j)
| (0.0090415153910034015781 + 9.4579496073724464764e-895j)  +/-  (6.46e-63, 2.44e-176j)
| (0.031719024129437986862 - 9.9007691268912147249e-897j)  +/-  (2.11e-64, 7.99e-178j)
| (0.0013508144464317908404 - 1.335592250329404256e-897j)  +/-  (8.02e-64, 3.03e-177j)
| (0.028171075138845889734 - 1.6709389314471258542e-895j)  +/-  (1.09e-64, 4.14e-178j)
| (0.038418929872467122046 + 9.9549981439907973278e-896j)  +/-  (4.54e-66, 1.72e-179j)
| (0.01300239882821350596 + 5.9544548857127944793e-897j)  +/-  (2.48e-64, 9.4e-178j)
| (0.038418929872467122046 - 1.1329250758043819231e-896j)  +/-  (5.2e-67, 1.97e-180j)
| (0.01691161019726491382 - 6.8426883776976035418e-897j)  +/-  (1.01e-64, 3.81e-178j)
| (0.01300239882821350596 - 5.5047315781185946406e-895j)  +/-  (2.01e-65, 7.61e-179j)
| (0.041543207003333831393 - 8.6587606001843081984e-896j)  +/-  (1.11e-68, 4.18e-182j)
| (0.01691161019726491382 + 3.6997904988658592085e-895j)  +/-  (1.06e-65, 4e-179j)
| (0.028171075138845889734 + 9.1784366733001887303e-897j)  +/-  (2.38e-67, 9.02e-181j)
| (0.041543207003333831393 + 1.2051719018045495952e-896j)  +/-  (3.52e-69, 1.33e-182j)
| (0.059611702072057607469 - 3.854207986839412552e-896j)  +/-  (9.63e-72, 3.64e-185j)
| (0.035139729473229232809 - 1.1609040090535382089e-895j)  +/-  (1.35e-68, 5.11e-182j)
| (0.044500053725592039169 + 7.6205437626522476088e-896j)  +/-  (5.31e-70, 2.01e-183j)
| (0.061878783613083200747 + 2.1176044846806153714e-896j)  +/-  (4.15e-74, 1.57e-187j)
| (0.047277748967474026604 + 1.3546881876296846818e-896j)  +/-  (2.59e-72, 9.79e-186j)
| (0.044500053725592039169 - 1.278885337287216821e-896j)  +/-  (1.42e-71, 5.36e-185j)
| (0.063150213168331205848 - 2.884707551423927704e-896j)  +/-  (1.81e-75, 6.85e-189j)
| (0.047277748967474026604 - 6.7736012412579868985e-896j)  +/-  (6.96e-73, 2.63e-186j)
| (0.031719024129437986862 + 1.377602880490125086e-895j)  +/-  (3.35e-71, 1.27e-184j)
| (0.049865216615159067777 - 1.4331953814477264105e-896j)  +/-  (1.38e-73, 5.22e-187j)
| (0.052252005760876978543 + 1.5150399938798899332e-896j)  +/-  (1.65e-74, 6.26e-188j)
| (0.024510658537779789313 - 8.4372650814558484172e-897j)  +/-  (2.96e-71, 1.12e-184j)
| (0.049865216615159067777 + 6.0718293626619947773e-896j)  +/-  (1.78e-74, 6.72e-188j)
| (0.056385568275941763349 - 4.5519285634703909452e-896j)  +/-  (1.11e-75, 4.21e-189j)
| (0.063405509913497790487 + 2.7015229272022928883e-896j)  +/-  (1.01e-77, 3.81e-191j)
| (0.054428400960114568618 - 1.60088888557131674e-896j)  +/-  (1.32e-76, 4.98e-190j)
| (0.060867773571865522956 - 1.9995632905927822433e-896j)  +/-  (3.56e-78, 1.35e-191j)
| (0.061878783613083200747 - 3.3140944306844509292e-896j)  +/-  (4.12e-78, 1.56e-191j)
| (0.052252005760876978543 - 5.4824928486215728365e-896j)  +/-  (7.7e-77, 2.91e-190j)
| (0.062640625269400149897 + 3.0877619255803012685e-896j)  +/-  (3.17e-78, 1.2e-191j)
| (0.059611702072057607469 + 1.8898909574804884853e-896j)  +/-  (2.78e-79, 1.05e-192j)
| (0.058115638253474164976 - 1.7875050135378585567e-896j)  +/-  (2.28e-79, 8.62e-193j)
| (0.063405509913497790487 - 2.5353901944386164337e-896j)  +/-  (3.8e-80, 1.44e-193j)
| (0.054428400960114568618 + 4.9817679767725363746e-896j)  +/-  (3.78e-79, 1.43e-192j)
| (0.060867773571865522956 + 3.5678655125401480225e-896j)  +/-  (9.78e-80, 3.7e-193j)
| (0.063150213168331205848 + 2.3839602316768947655e-896j)  +/-  (1.01e-80, 3.82e-194j)
| (0.056385568275941763349 + 1.6914538093794223998e-896j)  +/-  (7.29e-81, 2.85e-194j)
| (0.062640625269400149897 - 2.2452574765597875488e-896j)  +/-  (6.52e-81, 2.45e-194j)
