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 35
-------------------------------------------------
Trying to find an order 35 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^51 - 576132468831188433041942014748342027348561465444434783453890719377226604481731/4979812163762315293157980539312803766648878312336354456663808606980243456*t^49 + 104563353304025858433785356267669362822972571241325577677867256368593089829257419531/152413376037150362441216441881342500282997231846944548589266692177389076275200*t^47 - 1007348273358722766874544465475058571175936199159134932088619178312403994431862857641/396274777696590942347162748891490500735792802802055826332093399661211598315520*t^45 + 413158076790748143163390289167430498615824348178381953549925447086359763364248679652711/62611414876061368890851714324855499116255262842724820560470757146471432533852160*t^43 - 96612567548056676214998828297800181922996931522908200807761312781986764365791196408402121/7575981200003425635793057433307515393066886803969703287816961614723043336596111360*t^41 + 27729519499241598107214131804465856638352333201929799375740856946461521613347674457301357/1456919461539120314575587967943752960205170539224942939964800310523662180114636800*t^39 - 633047784017312073185580180937627323359320689021980095892645976802302537281148238627582055343/28184106983474282485464749239871901015169024081306521173619062007080244874317648896000*t^37 + 647436290922409306613417882340429497305528197524499187273947171116964433172192560563341123383653/30416288256565445658313557379669755575570410788545997650569691718041000268363606688563200*t^35 - 45240240422748251178629370299980581573772545607336108370316287091842390133913757796624056675441/2765117114233222332573959761788159597779128253504181604597244701640090933487600608051200*t^33 + 7414962187850916073883203109532301994086620166414840863913470685214448604345007598309151881051/722701063947319473286375846830996258510453975347683828474279865201387403070622886195200*t^31 - 41839917839230232340029851356117553829184044688785217950564730553283546715685255795949335125963/7949711703420514206150134315140958843614993728824522113217078517215261433776851748147200*t^29 + 175518346913897966563389397152746506714332495889846635372716544267536943931049922194515557130753/79497117034205142061501343151409588436149937288245221132170785172152614337768517481472000*t^27 - 2401491838194663267735839503917726670150795267879499393799916139708943695728222753873312857807/3179884681368205682460053726056383537445997491529808845286831406886104573510740699258880*t^25 + 20313471467229426299587081039936140948373517908725541511859508774799867266884315428942745676389/96986482781730273315031638644719697892102923491659169781248357910026189492077591327395840*t^23 - 20064133101024767785069937767928362342523517709202498604947949736963733812352069386340887628163/429730621337231764372136232888263957853942202506521459781736795324661495733671857225338880*t^21 + 8939361029685360148967567905200085206215318502525161090037629911887783838730877072546966807001629/1081546027781544904571792470933182729126801735268413209978675166473108052462505330264732893184*t^19 - 1155261444479091283305687293373103222378177393019626571913694641049284635116145962835120842853153883/1010676301224280514772219753758876808191913937352140870693230398985791235340620112571070132551680*t^17 + 6105131969845221965957013311496519718238276237282187315294987655442180862942926661710002223788077/50533815061214025738610987687943840409595696867607043534661519949289561767031005628553506627584*t^15 - 7520645677050392544129115025866542523937168976234179978630512212635858295085576649359683651/793795495848541897529272045490077762045768945941896035793680902739346880618133639568236544*t^13 + 374075272280656353426553721598642223456827278268817566042541201263119190235486525440684370173/706766644212783576763790037593620145588751005141357252233028251039014849888545533266482610176*t^11 - 6384517558577852672416311174214375096938226341327764932072784165610224225277324898633446981/321257565551265262165359107997100066176705002336980569196831023199552204494793424212037550080*t^9 + 4057938445994567404506587844791297231248352739456610941473270674226016981696790382775263427/8834583052659794709547375469920251819859387564266965652912853137987685623606819165831032627200*t^7 - 9974535936392255503230827234636453474921527803747955246766941987693280672881079293073661/1766916610531958941909475093984050363971877512853393130582570627597537124721363833166206525440*t^5 + 195337458530035268636777689150093530911239231847327732992789362911271365799021801077613/7067666442127835767637900375936201455887510051413572522330282510390148498885455332664826101760*t^3 - 159242934662834566380754281890662418805616832000170935902646703083377488943922698163/7067666442127835767637900375936201455887510051413572522330282510390148498885455332664826101760*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:
| (0.9894009349916499326 - 2.7770249290257859129e-900j)  +/-  (2.59e-237, 2.59e-237j)
| (-0.97837567741266586601 + 1.6975659788190591927e-899j)  +/-  (1.97e-237, 1.97e-237j)
| (-0.96341360851979225751 + 1.4082639774117786654e-915j)  +/-  (1.32e-237, 1.32e-237j)
| (0.99958527392802979694 - 3.3186076957742589908e-922j)  +/-  (9.9e-238, 9.9e-238j)
| (0.92193571806911764953 - 2.5082996673342526993e-931j)  +/-  (3.68e-238, 3.68e-238j)
| (0.94457502307323257608 - 2.1884016277070944675e-930j)  +/-  (7.24e-238, 7.24e-238j)
| (-0.99645020765990282347 + 1.1160734166523894428e-937j)  +/-  (2.23e-237, 2.23e-237j)
| (-0.92193571806911764953 + 5.0007922265780748277e-950j)  +/-  (3.57e-238, 3.57e-238j)
| (-0.89558610485100802947 + 4.8534044892739166654e-960j)  +/-  (1.38e-238, 1.38e-238j)
| (-0.99958527392802979694 + 3.5313570112165254478e-972j)  +/-  (9.62e-238, 9.62e-238j)
| (0.83219075152296939609 - 5.8089761795830831237e-993j)  +/-  (1.4e-239, 1.4e-239j)
| (0.66646387940188649061 + 4.4424237053926635287e-996j)  +/-  (2.33e-242, 2.33e-242j)
| (-0.86563120238783174388 + 4.0363267916942391943e-990j)  +/-  (4.79e-239, 4.79e-239j)
| (-0.83219075152296939609 + 4.3428236654582518146e-994j)  +/-  (1.4e-239, 1.4e-239j)
| (0.99645020765990282347 + 1.8520247242178742241e-989j)  +/-  (2.26e-237, 2.26e-237j)
| (0.86563120238783174388 - 1.7048916484585216138e-998j)  +/-  (5.06e-239, 5.06e-239j)
| (0.89558610485100802947 - 2.1561439916036184858e-997j)  +/-  (1.42e-238, 1.42e-238j)
| (-0.61787624440264374845 + 1.5300547479427292366e-1002j)  +/-  (2.91e-243, 2.91e-243j)
| (-0.79539905664300627609 + 3.2388781366736670791e-997j)  +/-  (3.47e-240, 3.47e-240j)
| (-0.9894009349916499326 + 3.2587216586346937915e-996j)  +/-  (2.37e-237, 2.37e-237j)
| (0.96341360851979225751 + 5.3495814984522480012e-1009j)  +/-  (1.26e-237, 1.26e-237j)
| (0.79539905664300627609 + 6.1952922113366366026e-1014j)  +/-  (3.55e-240, 3.55e-240j)
| (-0.94457502307323257608 + 5.9092335876270645066e-1013j)  +/-  (7.51e-238, 7.51e-238j)
| (-0.71236818601312802968 - 6.6413183948847729953e-1023j)  +/-  (1.43e-241, 1.43e-241j)
| (-0.7554044083550030339 + 1.5386716994994357534e-1021j)  +/-  (8.17e-241, 8.17e-241j)
| (0.22021004990746680357 + 9.917739542759446015e-1032j)  +/-  (4.58e-251, 4.58e-251j)
| (0.7554044083550030339 - 8.7365434364460912225e-1021j)  +/-  (7.92e-241, 7.92e-241j)
| (0.71236818601312802968 - 1.0810351471073378368e-1021j)  +/-  (1.44e-241, 1.44e-241j)
| (0.97837567741266586601 - 2.8989709611187844952e-1026j)  +/-  (2.02e-237, 2.02e-237j)
| (-0.66646387940188649061 - 3.2920487993293009473e-1033j)  +/-  (2.22e-242, 2.22e-242j)
| (-0.22021004990746680357 + 8.1723525391950202442e-1042j)  +/-  (4.7e-251, 4.7e-251j)
| (0.51344255042585635853 - 1.140775574094206439e-1035j)  +/-  (3.47e-245, 3.47e-245j)
| (0.61787624440264374845 - 4.3060201127753790933e-1034j)  +/-  (2.94e-243, 2.94e-243j)
| (0.031710752983009571165 + 5.8447900639631460313e-1047j)  +/-  (5.1e-255, 5.1e-255j)
| (-0.40074672866923480036 + 2.2237359698094010991e-1039j)  +/-  (2.3e-247, 2.3e-247j)
| (-0.45801677765722738634 - 1.9922344864236570011e-1038j)  +/-  (2.89e-246, 2.89e-246j)
| (3.9438784563623637257e-1060 + 2.0023337079000185248e-1060j)  +/-  (2.26e-1058, 2.26e-1058j)
| (0.56680065575865601521 + 3.0204067449875091168e-1037j)  +/-  (3.56e-244, 3.56e-244j)
| (0.28160355077925891323 + 9.474102374004350455e-1043j)  +/-  (9.32e-250, 9.32e-250j)
| (-0.15792958580080350372 - 8.2998280884595197752e-1045j)  +/-  (2.08e-252, 2.08e-252j)
| (-0.56680065575865601521 - 1.232304110950150955e-1036j)  +/-  (3.43e-244, 3.43e-244j)
| (-0.095012509837637440185 + 1.6308722543272322412e-1048j)  +/-  (9.86e-254, 9.86e-254j)
| (0.34186326022917782563 - 3.0934902908344320022e-1043j)  +/-  (1.65e-248, 1.65e-248j)
| (0.40074672866923480036 - 2.7033411403233302823e-1044j)  +/-  (2.3e-247, 2.3e-247j)
| (-0.031710752983009571165 - 5.6302550377085909703e-1049j)  +/-  (5.1e-255, 5.1e-255j)
| (-0.51344255042585635853 + 4.6033200544257506462e-1040j)  +/-  (3.59e-245, 3.59e-245j)
| (-0.34186326022917782563 + 8.2912545418754809814e-1044j)  +/-  (1.55e-248, 1.55e-248j)
| (0.095012509837637440185 - 4.9753333085521035365e-1049j)  +/-  (8.68e-254, 8.68e-254j)
| (0.45801677765722738634 + 2.3783718435214651805e-1041j)  +/-  (2.87e-246, 2.87e-246j)
| (0.15792958580080350372 + 4.6161532903297099713e-1047j)  +/-  (2.11e-252, 2.11e-252j)
| (-0.28160355077925891323 + 1.103682362107713346e-1045j)  +/-  (8.69e-250, 8.69e-250j)
-------------------------------------------------
The weights are:
| (0.0090412616982185831158 - 1.9605326130486450031e-902j)  +/-  (3.67e-58, 1.28e-171j)
| (0.013002310138558887739 + 3.2483214796451810559e-901j)  +/-  (1.48e-58, 5.18e-172j)
| (0.016911724197134821651 - 1.7153081323480714539e-899j)  +/-  (1.47e-58, 5.12e-172j)
| (0.0013511450386683934787 - 7.0816577453975109607e-901j)  +/-  (4.34e-59, 1.51e-172j)
| (0.02451073956780244177 + 5.0031194374541176667e-901j)  +/-  (1.13e-59, 3.95e-173j)
| (0.020752803242591961627 - 7.5416409749286074266e-901j)  +/-  (1.51e-59, 5.26e-173j)
| (0.0050589818108845922981 - 7.1464352712948128415e-900j)  +/-  (1e-60, 3.5e-174j)
| (0.02451073956780244177 - 5.7309290561645639575e-900j)  +/-  (2.94e-61, 1.02e-174j)
| (0.028170986564890445811 + 4.3082850779521306486e-900j)  +/-  (1.1e-61, 3.83e-175j)
| (0.0013511450386683934787 + 2.3555158739086944836e-900j)  +/-  (4.32e-61, 1.51e-174j)
| (0.035139648490588951911 - 1.4449765936224866181e-901j)  +/-  (1.27e-63, 4.44e-177j)
| (0.047277667171241769827 + 1.1034495909334980412e-901j)  +/-  (2.93e-64, 1.02e-177j)
| (0.031718859270903197252 - 3.4675472381729476002e-900j)  +/-  (1.22e-62, 4.24e-176j)
| (0.035139648490588951911 + 2.9213863246324750341e-900j)  +/-  (2.09e-63, 7.29e-177j)
| (0.0050589818108845922981 + 2.6168909215209636221e-900j)  +/-  (4.94e-63, 1.72e-176j)
| (0.031718859270903197252 + 2.3034390794085947095e-901j)  +/-  (3.48e-64, 1.21e-177j)
| (0.028170986564890445811 - 3.418535019969881028e-901j)  +/-  (6.39e-64, 2.23e-177j)
| (0.049865031591037819356 - 1.8642677506406106751e-900j)  +/-  (2.76e-67, 9.64e-181j)
| (0.038419010566897863051 - 2.5462050989586512961e-900j)  +/-  (2.72e-65, 9.48e-179j)
| (0.0090412616982185831158 + 1.6346013791681810942e-899j)  +/-  (1.9e-63, 6.62e-177j)
| (0.016911724197134821651 + 1.2461098922672497732e-900j)  +/-  (3.37e-65, 1.18e-178j)
| (0.038419010566897863051 + 7.3221893569198894805e-902j)  +/-  (9.36e-67, 3.27e-180j)
| (0.020752803242591961627 + 8.5925082599829626958e-900j)  +/-  (6.76e-64, 2.36e-177j)
| (0.044500142913012423274 - 2.0897066699494564743e-900j)  +/-  (1.33e-67, 4.64e-181j)
| (0.041543372576983909122 + 2.2802762707997390878e-900j)  +/-  (7.71e-67, 2.69e-180j)
| (0.06187844467308483565 + 1.4166869084191800176e-900j)  +/-  (4.48e-72, 1.56e-185j)
| (0.041543372576983909122 - 9.8740205489946727412e-903j)  +/-  (2.78e-68, 9.69e-182j)
| (0.044500142913012423274 - 5.0103822791873715376e-902j)  +/-  (5.82e-69, 2.03e-182j)
| (0.013002310138558887739 - 2.6784825468242779242e-900j)  +/-  (1.32e-66, 4.59e-180j)
| (0.047277667171241769827 + 1.9548566170634509388e-900j)  +/-  (1.48e-69, 5.17e-183j)
| (0.06187844467308483565 + 2.6112386716180564763e-900j)  +/-  (5.77e-74, 2.01e-187j)
| (0.054428492195661897285 - 3.2922533958282458668e-901j)  +/-  (8.17e-73, 2.85e-186j)
| (0.049865031591037819356 - 1.7426320213542477878e-901j)  +/-  (2.66e-71, 9.27e-185j)
| (0.063412400760240011756 - 1.287771957426719604e-899j)  +/-  (5.41e-75, 1.89e-188j)
| (0.058115799192602968021 - 1.8838691628463306018e-900j)  +/-  (9.52e-75, 3.32e-188j)
| (0.056385803155573339099 + 1.8171117994879255098e-900j)  +/-  (1.81e-74, 6.31e-188j)
| (-1.5078563414383007707e-05 + 2.1111395983067548024e-899j)  +/-  (1.33e-75, 4.64e-189j)
| (0.052251895713048360161 + 2.456288545601300503e-901j)  +/-  (4.39e-74, 1.53e-187j)
| (0.060867405747492667801 - 1.0038730094096117185e-900j)  +/-  (3.61e-76, 1.26e-189j)
| (0.062640739176466371668 - 3.3395784590374137125e-900j)  +/-  (1.45e-76, 5.06e-190j)
| (0.052251895713048360161 + 1.8118054140840023623e-900j)  +/-  (9.35e-76, 3.26e-189j)
| (0.063151283572540079757 + 5.0967820846657152942e-900j)  +/-  (1.07e-76, 3.74e-190j)
| (0.059611590255580599021 + 7.4348996827685598642e-901j)  +/-  (2.17e-77, 7.56e-191j)
| (0.058115799192602968021 - 5.6396714659896776732e-901j)  +/-  (1.67e-77, 5.83e-191j)
| (0.063412400760240011756 - 1.4027099999269562385e-899j)  +/-  (3.93e-77, 1.37e-190j)
| (0.054428492195661897285 - 1.7954354224237507091e-900j)  +/-  (7.95e-78, 2.77e-191j)
| (0.059611590255580599021 + 2.0109930301794468023e-900j)  +/-  (1.41e-78, 4.94e-192j)
| (0.063151283572540079757 + 3.9401242151071493361e-900j)  +/-  (1.08e-78, 3.8e-192j)
| (0.056385803155573339099 + 4.3182979160070395229e-901j)  +/-  (2.94e-79, 1.03e-192j)
| (0.062640739176466371668 - 2.167976043279616623e-900j)  +/-  (4.51e-79, 1.59e-192j)
| (0.060867405747492667801 - 2.2300580859895914088e-900j)  +/-  (2.15e-79, 7.15e-193j)
