Starting with polynomial:
P : t
Extension levels are: 1 16 18
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P2 : t^17 - 136/33*t^15 + 2380/341*t^13 - 61880/9889*t^11 + 77350/24273*t^9 - 12376/13485*t^7 + 43316/310155*t^5 - 1768/186093*t^3 + 221/1178589*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 10675/1221*t^33 + 19278140/551707*t^31 - 66203873540/782943421*t^29 + 2085364279908280/15076817481609*t^27 - 16704013544994832/103304119781395*t^25 + 61346914499162435101420/440455730090362189879*t^23 - 1336490208409006409952020/14879743577400496588521*t^21 + 206511220996250834249608700570/4733607088613045433987747109*t^19 - 319041703976275751115401512307690/20030881238504077154634150279511*t^17 + 107110622062263444668963992095860/24744029765210918838077479757043*t^15 - 11148263110327593601001814572140/12961158448443814629469156063213*t^13 + 3753418809200989231291680815440/30907377838596788731811064458431*t^11 - 276010516061092581966524646520/23656380105201647680359788339151*t^9 + 9467698772388128918058609260/13264688586120820533948511807741*t^7 - 782257906675883145826016284/31339648857318422140647582842465*t^5 + 7712932001994119458172003/18803789314391053284388549705479*t^3 - 26350284898247641560823043/13118777011673491508075078177855849*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
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.97465925696743106745 + 7.3655120133089873824e-397j)  +/-  (1.04e-115, 1.04e-115j)
| (-0.99843297060605807652 - 3.597487998792879551e-397j)  +/-  (4.16e-116, 4.16e-116j)
| (-0.95067552176876776122 + 3.6174468448731597352e-398j)  +/-  (8.45e-116, 8.45e-116j)
| (0.99843297060605807652 + 1.29317665644984011e-394j)  +/-  (4.04e-116, 4.04e-116j)
| (0.88023915372698590212 + 4.0821924413885583505e-402j)  +/-  (2.1e-116, 2.1e-116j)
| (0.91909613680389167324 - 4.9906136070798062018e-408j)  +/-  (4.7e-116, 4.7e-116j)
| (0.99057547531441733568 - 1.3008361060215918813e-421j)  +/-  (1.04e-115, 1.04e-115j)
| (-0.83427409285013436308 - 4.6661250915692063073e-438j)  +/-  (7.64e-117, 7.64e-117j)
| (-0.089585639425226635463 - 6.239114711525641051e-444j)  +/-  (9.69e-127, 9.69e-127j)
| (0.95067552176876776122 + 1.3401637707541067855e-434j)  +/-  (7.95e-116, 7.95e-116j)
| (0.83427409285013436308 + 1.3195192042710853334e-445j)  +/-  (7.03e-117, 7.03e-117j)
| (0.97465925696743106745 - 6.8541997638406477057e-448j)  +/-  (1.12e-115, 1.12e-115j)
| (-0.91909613680389167324 - 1.3437160498140309253e-451j)  +/-  (5.03e-116, 5.03e-116j)
| (-0.88023915372698590212 + 3.2531963163449667149e-453j)  +/-  (2.17e-116, 2.17e-116j)
| (-0.78151400389680140693 + 3.103812576278353165e-456j)  +/-  (2.04e-117, 2.04e-117j)
| (0.78151400389680140693 + 1.6110728173259394953e-456j)  +/-  (2e-117, 2e-117j)
| (0.65767115921669076585 - 2.5409075640430064071e-457j)  +/-  (6.78e-119, 6.78e-119j)
| (-0.3512317634538763153 + 1.578458687642757064e-462j)  +/-  (5.87e-123, 5.87e-123j)
| (-0.72247228737240990602 - 1.8841285957939259955e-456j)  +/-  (4.15e-118, 4.15e-118j)
| (-0.99057547531441733568 - 1.4076637305328692529e-456j)  +/-  (1.06e-115, 1.06e-115j)
| (0.43368729520979937108 - 1.6720581722768655631e-462j)  +/-  (8.92e-122, 8.92e-122j)
| (0.72247228737240990602 - 1.0227955724332243355e-460j)  +/-  (4.12e-118, 4.12e-118j)
| (0.17848418149584785585 - 4.7167086916717789919e-469j)  +/-  (1.73e-125, 1.73e-125j)
| (-0.65767115921669076585 - 3.5093847199504401627e-462j)  +/-  (6.71e-119, 6.71e-119j)
| (-0.51269053708647696789 - 2.4507672590519501045e-464j)  +/-  (9.22e-121, 9.22e-121j)
| (0.089585639425226635463 - 2.7992333021332547932e-471j)  +/-  (9.69e-127, 9.69e-127j)
| (0.58756921233403525157 - 4.4919018778807702813e-464j)  +/-  (9.35e-120, 9.35e-120j)
| (0.3512317634538763153 - 1.785302654209405441e-469j)  +/-  (5.95e-123, 5.95e-123j)
| (-0.17848418149584785585 + 8.9115085648151089034e-471j)  +/-  (1.75e-125, 1.75e-125j)
| (-0.58756921233403525157 + 1.8748709479881398322e-466j)  +/-  (9.3e-120, 9.3e-120j)
| (-0.26594650745168201911 - 1.054963969764552892e-471j)  +/-  (3.65e-124, 3.65e-124j)
| (0.26594650745168201911 + 2.0306217110469767271e-470j)  +/-  (3.1e-124, 3.1e-124j)
| (0.51269053708647696789 + 2.698414491329362675e-468j)  +/-  (1.05e-120, 1.05e-120j)
| (2.9867071599510397685e-482 - 2.2654755206470283315e-482j)  +/-  (1.31e-480, 1.31e-480j)
| (-0.43368729520979937108 + 5.9418322079211179048e-470j)  +/-  (8.1e-122, 8.1e-122j)
-------------------------------------------------
The weights are:
| (0.020022233953295123733 - 1.4569977828273656603e-396j)  +/-  (2.17e-18, 2.16e-72j)
| (0.0042189757937769386559 - 7.8280789298355422153e-397j)  +/-  (6.92e-19, 6.89e-73j)
| (0.027856722457863426944 + 1.1967143136624728883e-396j)  +/-  (1.39e-18, 1.39e-72j)
| (0.0042189757937769386559 - 1.3735128541892705884e-394j)  +/-  (2.53e-20, 2.52e-74j)
| (0.042442630205000891179 + 4.6594312655644599134e-395j)  +/-  (2.26e-20, 2.25e-74j)
| (0.0352497467518800321 - 5.7450072216112482893e-395j)  +/-  (2.13e-20, 2.12e-74j)
| (0.011785837562289086048 + 2.0345772906593827311e-394j)  +/-  (1e-20, 9.98e-75j)
| (0.049436141823959067856 - 3.3527326281203989008e-396j)  +/-  (2.44e-23, 2.43e-77j)
| (0.089361845867788885747 - 1.0585995998519417187e-395j)  +/-  (6.05e-24, 6.03e-78j)
| (0.027856722457863426944 + 7.4737973574502908741e-395j)  +/-  (3.28e-21, 3.27e-75j)
| (0.049436141823959067856 - 3.8934356970604620624e-395j)  +/-  (1.64e-22, 1.63e-76j)
| (0.020022233953295123733 - 1.0890787076118218355e-394j)  +/-  (3.72e-21, 3.71e-75j)
| (0.0352497467518800321 - 2.1105474535146008576e-396j)  +/-  (7.84e-24, 7.81e-78j)
| (0.042442630205000891179 + 2.7513641394506287495e-396j)  +/-  (3.66e-24, 3.65e-78j)
| (0.055994044530093517036 + 3.9521545690789614287e-396j)  +/-  (2.58e-25, 2.57e-79j)
| (0.055994044530093517036 + 3.3308103716323155093e-395j)  +/-  (2.9e-25, 2.89e-79j)
| (0.067528016718131089923 + 2.5642796405220992775e-395j)  +/-  (1.12e-26, 1.11e-80j)
| (0.083972571991234775428 + 8.0039995275378614143e-396j)  +/-  (2.73e-28, 2.72e-82j)
| (0.062000915268229960367 - 4.5687285225595671719e-396j)  +/-  (1.09e-26, 1.08e-80j)
| (0.011785837562289086048 + 1.9305485978574951761e-396j)  +/-  (3.27e-25, 3.25e-79j)
| (0.080836678440817871304 - 1.8490458088345769334e-395j)  +/-  (8.35e-29, 8.32e-83j)
| (0.062000915268229960367 - 2.9041592247869214814e-395j)  +/-  (1.06e-26, 1.06e-80j)
| (0.088308782297604406647 + 1.3892366202842060623e-395j)  +/-  (1.63e-29, 1.62e-83j)
| (0.067528016718131089923 + 5.2019345081183966646e-396j)  +/-  (1.55e-28, 1.54e-82j)
| (0.077056223046202163679 + 6.5292330025501679057e-396j)  +/-  (1.6e-29, 1.59e-83j)
| (0.089361845867788885747 - 1.2685915143274689966e-395j)  +/-  (3.75e-30, 3.73e-84j)
| (0.072589890114190143846 - 2.283133001427917544e-395j)  +/-  (1.98e-29, 1.97e-83j)
| (0.083972571991234775428 + 1.6768464339516651018e-395j)  +/-  (2.86e-30, 2.85e-84j)
| (0.088308782297604406647 + 9.6584400802910508332e-396j)  +/-  (4.39e-31, 4.37e-85j)
| (0.072589890114190143846 - 5.8514868124906321261e-396j)  +/-  (9.49e-31, 9.43e-85j)
| (0.086490532205651936826 - 8.803243369270903381e-396j)  +/-  (2.63e-31, 2.63e-85j)
| (0.086490532205651936826 - 1.5245424427218312236e-395j)  +/-  (1.5e-31, 1.49e-85j)
| (0.077056223046202163679 + 2.047880272689058015e-395j)  +/-  (1.63e-31, 1.63e-85j)
| (0.089696421943981365362 + 1.1592442692333085183e-395j)  +/-  (7.74e-32, 7.78e-86j)
| (0.080836678440817871304 - 7.246534369659393687e-396j)  +/-  (5.12e-32, 4.94e-86j)
