Starting with polynomial:
P : -t+1
Extension levels are: 1 34
-------------------------------------------------
Trying to find an order 34 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^35 + 8528284271838335737760802542120420354629/6604882814304376781301927200022693825*t^34 - 5182109341576902132850658184715137567159874/6604882814304376781301927200022693825*t^33 + 59783574114343708302031297500931393862786046/200147964069829599433391733334021025*t^32 - 16016370040663422244532570872319046268624250368/200147964069829599433391733334021025*t^31 + 3215149489768143162471813906121613827149727462912/200147964069829599433391733334021025*t^30 - 100558579731623297086334030717505208844096220152832/40029592813965919886678346666804205*t^29 + 12574472783105733387149996402199349202397459772541952/40029592813965919886678346666804205*t^28 - 1280619947728591043986902417163166114739513219338778624/40029592813965919886678346666804205*t^27 + 107644266579738437498681520139774476619170105858444122112/40029592813965919886678346666804205*t^26 - 7541342255797963629367058647478876861044119728250229075968/40029592813965919886678346666804205*t^25 + 88703773759154646407082346971693171620822048868973130649600/8005918562793183977335669333360841*t^24 - 4402102868625411348152418774294066187756669566921295591833600/8005918562793183977335669333360841*t^23 + 185004508593325417290509546838299154834664841301674230977331200/8005918562793183977335669333360841*t^22 - 6598900692675995776089117824824181505444811613758283980593561600/8005918562793183977335669333360841*t^21 + 199976778195092597499966224693214611546201578189965409693541990400/8005918562793183977335669333360841*t^20 - 5148646900637772979572809633414957170808142373385931758940831744000/8005918562793183977335669333360841*t^19 + 112501919944103611694963139851137482830529973554129700439474356224000/8005918562793183977335669333360841*t^18 - 2082074555614538913885489681821514576257237333697976005844751843328000/8005918562793183977335669333360841*t^17 + 32537058189261921273084988557222012599592960865728812089058998124544000/8005918562793183977335669333360841*t^16 - 427579731954089271420175526486244221471118095803944282068283719417856000/8005918562793183977335669333360841*t^15 + 4700197704488849470123534279714785875008353134213140386392274244730880000/8005918562793183977335669333360841*t^14 - 42934548320729160104820765092140145359723928519239456323744349688954880000/8005918562793183977335669333360841*t^13 + 323264728358603527057460987636129552512115500496815286688745636767989760000/8005918562793183977335669333360841*t^12 - 1986323175206748048763955512353984743416687592113574365818131528841953280000/8005918562793183977335669333360841*t^11 + 9840000624467474686286422278633370111321701757231883935678339907447685120000/8005918562793183977335669333360841*t^10 - 38716142618978033909828076451820977171179367571669492079988166212693524480000/8005918562793183977335669333360841*t^9 + 118758386970012726309509740111310054050287339000418291683640459882534010880000/8005918562793183977335669333360841*t^8 - 277413362475637373461794859124930689341797886367607102005294676861685596160000/8005918562793183977335669333360841*t^7 + 478812764895553008710027769026775224202207272275125769929349890537978593280000/8005918562793183977335669333360841*t^6 - 586671128384931442988427414059228657626755532135636413419704323516420587520000/8005918562793183977335669333360841*t^5 + 482876563625160706068404439747037940492630917371872502358216756763924889600000/8005918562793183977335669333360841*t^4 - 246315624760268995185974030852187675320552073768793303398658561797626265600000/8005918562793183977335669333360841*t^3 + 68507173011261173819385229590233558289487824232268278804966021421806387200000/8005918562793183977335669333360841*t^2 - 8216159700181164047792010250572997394728084618219489021532372041570713600000/8005918562793183977335669333360841*t + 239218628207793663842282166956327386288704585806598435499443036251750400000/8005918562793183977335669333360841
-------------------------------------------------
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 roots: 424
 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:
| (151.74504440205856598 - 6.9386808762904229761e-661j)  +/-  (2.37e-244, 2.37e-244j)
| (94.192391127631344484 - 9.2465641497156132786e-662j)  +/-  (9.7e-240, 9.7e-240j)
| (59.484174266862761113 + 1.1757894204084064237e-688j)  +/-  (1.1e-237, 1.1e-237j)
| (85.646291978734509265 - 2.5394866456267731719e-713j)  +/-  (4.27e-239, 4.27e-239j)
| (104.2052384869472259 - 1.3892822125400750423e-725j)  +/-  (1.27e-240, 1.27e-240j)
| (54.257724973456816289 + 1.0109159228797487903e-745j)  +/-  (1.49e-237, 1.49e-237j)
| (49.415596680863588193 + 2.8209636671043932974e-767j)  +/-  (1.66e-237, 1.66e-237j)
| (11.852806927195726451 - 2.4020054799358331455e-781j)  +/-  (7.17e-242, 7.17e-242j)
| (78.104193228568072325 - 1.2272839830206535342e-778j)  +/-  (1.52e-238, 1.52e-238j)
| (26.623911824894832584 - 5.7142414190763192137e-777j)  +/-  (1.26e-238, 1.26e-238j)
| (116.85572201630233201 - 1.5288868772278996753e-785j)  +/-  (8.17e-242, 8.17e-242j)
| (4.2994997277948072021 - 1.4393883688462989344e-788j)  +/-  (4.43e-246, 4.43e-246j)
| (6.8464300679842346519 - 1.6316267341398839415e-787j)  +/-  (3.34e-244, 3.34e-244j)
| (20.933382037149571384 + 3.6787002510131893209e-781j)  +/-  (1.79e-239, 1.79e-239j)
| (65.148234989055548672 + 2.3834712818452822696e-781j)  +/-  (7.05e-238, 7.05e-238j)
| (5.4961739122480962995 + 7.3971780024811112935e-798j)  +/-  (4.59e-245, 4.59e-245j)
| (23.675606955361735783 - 2.3511841181312518127e-790j)  +/-  (4.59e-239, 4.59e-239j)
| (44.916733749184474486 - 1.3973115272190271486e-804j)  +/-  (1.59e-237, 1.59e-237j)
| (33.184702825382952686 + 8.107781699468340668e-822j)  +/-  (5.27e-238, 5.27e-238j)
| (1.6057091319482850111 - 3.5759241024050763783e-843j)  +/-  (3.07e-249, 3.07e-249j)
| (71.321443406517680304 - 1.108275134219171002e-830j)  +/-  (3.67e-238, 3.67e-238j)
| (8.3534320179536619329 + 1.3246194203880793486e-837j)  +/-  (2.26e-243, 2.26e-243j)
| (10.020828279606452815 - 1.6445446460739555009e-836j)  +/-  (1.44e-242, 1.44e-242j)
| (18.387722618900992526 + 5.3696996747529604848e-832j)  +/-  (5.59e-240, 5.59e-240j)
| (36.825169239522094602 + 1.3691941340781043746e-837j)  +/-  (8.59e-238, 8.59e-238j)
| (16.030377314923334188 - 2.2708878547992518275e-847j)  +/-  (1.44e-240, 1.44e-240j)
| (2.3564029047562213744 + 3.4966718459537223071e-866j)  +/-  (4.55e-248, 4.55e-248j)
| (3.2536832851180253683 - 1.4617424381702760566e-863j)  +/-  (4.97e-247, 4.97e-247j)
| (29.789323370020049116 + 2.0860202550531705761e-854j)  +/-  (2.57e-238, 2.57e-238j)
| (40.728665797695382807 - 7.6691170054040283182e-875j)  +/-  (1.27e-237, 1.27e-237j)
| (13.854162423581376765 + 1.046269851299906649e-887j)  +/-  (3.6e-241, 3.6e-241j)
| (1 + 6.6384138815681542483e-904j)  +/-  (1.88e-250, 1.88e-250j)
| (0.21874257078812776644 - 3.7298953013247366311e-904j)  +/-  (3.78e-253, 3.78e-253j)
| (0.041497801375269374125 + 8.5913110981781750577e-905j)  +/-  (8.43e-255, 8.43e-255j)
| (0.53800056281725144291 - 1.7381273897077902117e-903j)  +/-  (1.07e-251, 1.07e-251j)
-------------------------------------------------
The weights are:
| (4.9796074964497883615e-63 + 6.9269512603444014446e-714j)  +/-  (1.57e-90, 3.75e-207j)
| (1.1356394330229879217e-40 + 5.107883964300300175e-702j)  +/-  (9.4e-84, 2.25e-200j)
| (7.9718567583374581021e-26 - 5.0781523157714437505e-696j)  +/-  (4.07e-78, 9.72e-195j)
| (5.0923658070482431478e-37 - 7.3443819144774797255e-701j)  +/-  (9.37e-83, 2.24e-199j)
| (6.1144395573158926428e-45 + 8.8599689657722418518e-705j)  +/-  (9.62e-86, 2.3e-202j)
| (1.3722771213449455478e-23 + 5.3846417496239086653e-695j)  +/-  (8.48e-78, 2.02e-194j)
| (1.6139151974905923512e-21 - 4.8545826136563758766e-694j)  +/-  (3.41e-77, 8.14e-194j)
| (1.3637809556605234908e-05 - 1.0203728895789721589e-686j)  +/-  (2.48e-63, 5.93e-180j)
| (8.5698877007617663848e-34 + 1.4511785859392632001e-699j)  +/-  (1.82e-82, 4.33e-199j)
| (8.3632701311928375635e-12 - 1.5412191977862771531e-689j)  +/-  (8e-73, 1.91e-189j)
| (2.6545447616934591347e-50 - 9.9763153234531780099e-708j)  +/-  (5.31e-89, 1.27e-205j)
| (0.015215602886886855477 + 1.8324195554706548104e-685j)  +/-  (4.3e-56, 1.03e-172j)
| (0.0015183803365765563666 + 7.5820165264675148573e-686j)  +/-  (1.56e-60, 3.72e-177j)
| (2.1416948448086263202e-09 - 1.9737082847825457609e-688j)  +/-  (4.05e-71, 9.67e-188j)
| (3.0038903708175871313e-28 + 4.0198335467483051513e-697j)  +/-  (7.5e-81, 1.79e-197j)
| (0.0052223041944562043752 - 1.2350583399694493968e-685j)  +/-  (1.82e-60, 4.35e-177j)
| (1.4848320062863077537e-10 + 5.8014913829484105622e-689j)  +/-  (1.97e-72, 4.71e-189j)
| (1.3497821023628312209e-19 + 3.7666120052396950625e-693j)  +/-  (3.81e-78, 9.1e-195j)
| (1.3614930357505045318e-14 - 7.8939470633043139284e-691j)  +/-  (2.23e-76, 5.33e-193j)
| (0.1360990059643646589 - 3.2229572106413826289e-685j)  +/-  (2.15e-58, 5.14e-175j)
| (6.8484619517647336351e-31 - 2.6430403869578210749e-698j)  +/-  (1.98e-82, 4.72e-199j)
| (0.000373769452064441123 - 4.249908510429218254e-686j)  +/-  (1.23e-67, 2.94e-184j)
| (7.7765115761998026819e-05 + 2.1776925046838629764e-686j)  +/-  (6.15e-69, 1.47e-185j)
| (2.5323220853211477173e-08 + 6.0894731522589490988e-688j)  +/-  (5.01e-73, 1.2e-189j)
| (3.830241979141841959e-16 + 1.5060108119625374741e-691j)  +/-  (7.21e-78, 1.72e-194j)
| (2.4733808340911222034e-07 - 1.7086416008292327727e-687j)  +/-  (4.54e-73, 1.08e-189j)
| (0.078053431148161527617 + 2.9882527876977033244e-685j)  +/-  (5.97e-68, 1.43e-184j)
| (0.037518807212355156194 - 2.4657865849400166828e-685j)  +/-  (1.32e-68, 3.15e-185j)
| (3.7868733539216924157e-13 + 3.6853818043865067152e-690j)  +/-  (1.8e-76, 4.3e-193j)
| (8.2859972710890190439e-18 - 2.5420361588667055224e-692j)  +/-  (7.77e-79, 1.86e-195j)
| (2.0086513600809791803e-06 + 4.3698692294962648095e-687j)  +/-  (5.01e-73, 1.2e-189j)
| (0.19632552722920340046 + 3.0289541680310191581e-685j)  +/-  (1.19e-71, 2.84e-188j)
| (0.19938774568954003135 + 1.4121917958460917222e-685j)  +/-  (1.41e-72, 3.39e-189j)
| (0.10217800368990533194 - 4.3923982168081553985e-686j)  +/-  (5.53e-73, 1.35e-189j)
| (0.22801373565956888035 - 2.378903426281952531e-685j)  +/-  (1.61e-72, 3.76e-189j)
