Starting with polynomial:
P : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Extension levels are: 8 11 16
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Trying to find an order 11 Kronrod extension for:
P1 : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 256*t^19 - 19308928/1347*t^17 + 418651520/1347*t^15 - 1521292480/449*t^13 + 9071700160/449*t^11 - 30031939520/449*t^9 + 52723966680/449*t^7 - 43021232100/449*t^5 + 12604959675/449*t^3 - 2144332575/898*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 256*t^35 - 1164942969617083049107864308361404192697302517081704832/23954255306085836476638257585668576661430390905643*t^33 + 4369470327565070011015025463308757057702376270507159187584/1077941488773862641448721591355085949764367590753935*t^31 - 126937020501049623934687126453290168906592891380470683362880/646764893264317584869232954813051569858620554452361*t^29 + 43830783327331764728003964965722797292215141730307135396595040/7114413825907493433561562502943567268444826098975971*t^27 - 7857264321095983199619894815805804574743046582541817452459888752/59286781882562445279679687524529727237040217491466425*t^25 + 358194140247174926141814832666812251832788268345066757347869311912/177860345647687335839039062573589181711120652474399275*t^23 - 3906694975499803890947357238415286892565725561079401824705471624588/177860345647687335839039062573589181711120652474399275*t^21 + 564080657307073046463132556499773449326672708193270973935979958812196/3260773003540934490382382813849134998037211962030653375*t^19 - 9605625675861202860685317170838185772302402754605627520900262287596372/9782319010622803471147148441547404994111635886091960125*t^17 + 15568896242325014767177127743482101582192274529535978187394444206074557/3912927604249121388458859376618961997644654354436784050*t^15 - 29477009079633663897825341037353046873533180478881886671092912777473841/2608618402832747592305906251079307998429769569624522700*t^13 + 113919297473515019601928626698156033129248780397499408955991215602429509/5217236805665495184611812502158615996859539139249045400*t^11 - 26022684099064008875602003803357497360165163573405731680601585060491441/948588510120999124474875000392475635792643479863462800*t^9 + 4413010997696577496789823167721655743792690362622829641168051901356477/210797446693555360994416666753883474620587439969658400*t^7 - 740739988607828142275417894353342622406989123513227806613209772157711/84318978677422144397766666701553389848234975987863360*t^5 + 591903346062803194698060510766556000505421165134737268073165954940887/337275914709688577591066666806213559392939903951453440*t^3 - 27618701003619992880560587497276815829811804402514926763499279692081/224850609806459051727377777870809039595293269300968960*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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (6.3659285681303259298 + 3.2228495346138113666e-468j)  +/-  (6.69e-122, 6.69e-122j)
| (-4.4838301627422905975 + 4.9302347014519189726e-466j)  +/-  (5.15e-120, 5.15e-120j)
| (-2.9306374202572440192 + 2.3149059907998372813e-467j)  +/-  (5.95e-120, 5.95e-120j)
| (4.4838301627422905975 - 1.5458476296520802199e-465j)  +/-  (5.53e-120, 5.53e-120j)
| (-5.0226261917698797004 + 1.9035639926432822624e-467j)  +/-  (1.91e-120, 1.91e-120j)
| (3.6473028998600486888 - 7.6283746908254743709e-466j)  +/-  (1.33e-119, 1.33e-119j)
| (-6.3659285681303259298 + 6.9763893970945295842e-472j)  +/-  (5.54e-122, 5.54e-122j)
| (-1.5429381010157293823 + 7.4943698161719505419e-472j)  +/-  (4.91e-122, 4.91e-122j)
| (-4.0105483010386508065 - 3.0571286286346234006e-470j)  +/-  (1.13e-119, 1.13e-119j)
| (-5.6316390730360375766 + 3.5891022720776280007e-474j)  +/-  (4.92e-121, 4.92e-121j)
| (5.6316390730360375766 + 1.7210150734704555359e-472j)  +/-  (5.22e-121, 5.22e-121j)
| (-1.9816567566958429259 + 3.0627773744631230711e-473j)  +/-  (2.28e-120, 2.28e-120j)
| (5.0226261917698797004 + 3.3282981656257448192e-473j)  +/-  (1.91e-120, 1.91e-120j)
| (-1.1571937124467801947 + 4.0545444452591373244e-478j)  +/-  (2.41e-123, 2.41e-123j)
| (2.1885630273880580333 + 1.0067876365438084698e-473j)  +/-  (2.83e-120, 2.83e-120j)
| (1.8651745430168657961 + 4.1320464897296577882e-491j)  +/-  (1.22e-120, 1.22e-120j)
| (0.76562874232141812769 + 3.0442144960966382264e-505j)  +/-  (2.3e-124, 2.3e-124j)
| (-3.6473028998600486888 + 1.4145359213918499532e-500j)  +/-  (1.3e-119, 1.3e-119j)
| (-2.5267823285895380864 - 2.1393763288752651233e-501j)  +/-  (3e-120, 3e-120j)
| (6.6425672722094072005e-509 + 4.5109533184227615465e-509j)  +/-  (2.81e-507, 2.81e-507j)
| (3.3272155728641851836 - 5.2230931900611968202e-502j)  +/-  (1.16e-119, 1.16e-119j)
| (1.1571937124467801947 - 8.9973115177200027264e-508j)  +/-  (2.41e-123, 2.41e-123j)
| (1.9816567566958429259 - 1.2434437832239733328e-508j)  +/-  (2.55e-120, 2.55e-120j)
| (-3.3272155728641851836 - 6.5557776874056452576e-515j)  +/-  (1.11e-119, 1.11e-119j)
| (-0.38118699020732211685 + 9.2756031570700653829e-521j)  +/-  (9.51e-126, 9.51e-126j)
| (2.9306374202572440192 - 2.4199749706017275941e-514j)  +/-  (5.48e-120, 5.48e-120j)
| (1.5429381010157293823 + 2.3073003041568082196e-516j)  +/-  (5.14e-122, 5.14e-122j)
| (4.0105483010386508065 - 2.0996273052638351906e-520j)  +/-  (1.15e-119, 1.15e-119j)
| (-1.8651745430168657961 + 1.2646788332722068498e-519j)  +/-  (1.16e-120, 1.16e-120j)
| (-0.76562874232141812769 + 6.0614672463173795434e-526j)  +/-  (2.31e-124, 2.31e-124j)
| (-2.1885630273880580333 + 2.3202924630671544193e-525j)  +/-  (2.7e-120, 2.7e-120j)
| (0.38118699020732211685 - 1.8561172251943617503e-529j)  +/-  (1.03e-125, 1.03e-125j)
| (0.56474674797970907162 + 2.7827575491024601281e-529j)  +/-  (6.95e-125, 6.95e-125j)
| (2.5267823285895380864 - 9.4224619580816837311e-530j)  +/-  (3.69e-120, 3.69e-120j)
| (-0.56474674797970907162 + 9.7214395271021823482e-536j)  +/-  (6.47e-125, 6.47e-125j)
-------------------------------------------------
The weights are:
| (1.1997833129747585414e-18 + 5.4234191094743400089e-481j)  +/-  (2.57e-41, 4.88e-100j)
| (5.3287945803580580395e-10 + 2.053180414307079949e-474j)  +/-  (1.84e-36, 3.5e-95j)
| (4.3269700334782130937e-05 + 1.209443701133428489e-470j)  +/-  (7.11e-31, 1.35e-89j)
| (5.3287945803580580395e-10 + 5.4744351976868928693e-474j)  +/-  (1.82e-37, 3.46e-96j)
| (3.5591212129905138926e-12 + 7.9463791303282559192e-477j)  +/-  (2.08e-38, 3.95e-97j)
| (2.8690865601732511378e-07 + 1.8795334325010154295e-471j)  +/-  (1.96e-35, 3.72e-94j)
| (1.1997833129747585414e-18 + 2.1355367818195894088e-482j)  +/-  (8.71e-43, 1.66e-101j)
| (0.019454218867366154876 - 2.9937988926307047764e-468j)  +/-  (3.62e-26, 6.88e-85j)
| (2.503400069292366569e-08 - 2.1579881273307460157e-473j)  +/-  (2.48e-36, 4.71e-95j)
| (6.22891555692574154e-15 - 2.4730954714691010941e-479j)  +/-  (1.1e-40, 2.1e-99j)
| (6.22891555692574154e-15 - 2.2536421643186670394e-478j)  +/-  (4.57e-43, 8.69e-102j)
| (0.0012272737272695666662 - 4.2417546676045293856e-468j)  +/-  (1.06e-31, 2.02e-90j)
| (3.5591212129905138926e-12 + 3.8347699869724735759e-476j)  +/-  (1.79e-41, 3.41e-100j)
| (0.05793489399677642445 + 4.4804288969739352629e-468j)  +/-  (6.07e-28, 1.15e-86j)
| (0.0012979820625351371588 + 1.7928409729236655731e-468j)  +/-  (2.73e-34, 5.19e-93j)
| (0.0039345339652577013822 + 8.6512191425055329077e-468j)  +/-  (4.65e-33, 8.84e-92j)
| (0.1225783322098984755 - 2.173794528432777886e-467j)  +/-  (5.59e-29, 1.06e-87j)
| (2.8690865601732511378e-07 + 1.6986433898586141404e-472j)  +/-  (1.42e-37, 2.69e-96j)
| (0.00036705516944793029382 - 9.4311820246662856323e-470j)  +/-  (6.31e-35, 1.2e-93j)
| (0.21428619329097425318 + 1.6997569347799398306e-467j)  +/-  (6.25e-31, 1.19e-89j)
| (3.2008540927802801453e-06 - 6.1029005869239829718e-471j)  +/-  (1.78e-38, 3.38e-97j)
| (0.05793489399677642445 + 6.3868160947718962812e-468j)  +/-  (6.52e-32, 1.24e-90j)
| (0.0012272737272695666662 - 7.7648171019824723062e-468j)  +/-  (3.7e-34, 7.04e-93j)
| (3.2008540927802801453e-06 - 6.9010077878442867822e-472j)  +/-  (2.46e-37, 4.67e-96j)
| (0.18749035811676949962 - 2.8952706030121491018e-467j)  +/-  (3.02e-32, 5.75e-91j)
| (4.3269700334782130937e-05 + 2.4743098596470417669e-470j)  +/-  (5.74e-38, 1.09e-96j)
| (0.019454218867366154876 - 4.8075215328917844017e-468j)  +/-  (2.9e-34, 5.54e-93j)
| (2.503400069292366569e-08 - 1.0298209116321420009e-473j)  +/-  (1.4e-40, 2.68e-99j)
| (0.0039345339652577013822 + 4.8873552893081535407e-468j)  +/-  (3.45e-35, 6.61e-94j)
| (0.1225783322098984755 - 1.7205167158804207203e-467j)  +/-  (6.83e-35, 1.35e-93j)
| (0.0012979820625351371588 + 9.2774723684580748341e-469j)  +/-  (5.33e-36, 1.02e-94j)
| (0.18749035811676949962 - 3.2519511004448749691e-467j)  +/-  (3.96e-35, 7.57e-94j)
| (-0.0014745277943370985579 + 4.1455725046414545849e-467j)  +/-  (4.56e-35, 8.56e-94j)
| (0.00036705516944793029382 - 1.8958416274430285553e-469j)  +/-  (3.08e-38, 5.06e-97j)
| (-0.0014745277943370985579 + 3.489534600067639509e-467j)  +/-  (2.27e-35, 5.45e-94j)
