Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 14 17
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 17 Kronrod extension for:
P2 : 3/2*t^16 - 10827/1972*t^14 + 47593/5916*t^12 - 889889/147900*t^10 + 549549/226780*t^8 - 1001/1972*t^6 + 11011/226780*t^4 - 3861/2525860*t^2 + 1859/366249700
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^33 - 114468881441127146760608175579567547464511918183071/9757255117222319715604309309487038439516743069604*t^31 + 8502440418161535146429366065647269403359670660412115/204902357461668714027690495499227807229851604461684*t^29 - 15501940216767214599695297356893267888404851079550659/176639963329024753472146978878644661405044486604900*t^27 + 7723073220918610297791300872615552042900971904230658577/62461988128598200610212484891968590063324429621781100*t^25 - 915068439078244660342400865333014712370642759214328887169/7477949218755776577054638691266479602381200714319633292*t^23 + 8554591725531842704113106501138080456122974629016696391379/97863596297629945638845488959617841752901800652617809604*t^21 - 1300758172261905379017879645034687704023244565702203978217785/28526044862267694642191278989180312848510473648766718111644*t^19 + 62664947731309758196303638207815426140059145744959163362154131/3606518852857012349942852278086295688663483148973889969649284*t^17 - 1724991331039972516346566323704274070547584613821431035111031/360158517453573052730271157729547996268719931429677110512172*t^15 + 159255559855618206333796321786981243001514430649344889451087/170184793961578475465952305300775426808296231334902370901356*t^13 - 88356198590769113823193967823991442957679937405062943774009/705051289269396541216088121960355339634370101244595536591332*t^11 + 53895061637627155309481104541593114941981562831221051587175/4935359024885775788512616853722487377440590708712168756139324*t^9 - 70437268143893283806597004430798505516052067516530138375951/123383975622144394712815421343062184436014767717804218903483100*t^7 + 44461496854085531801692328723718969557133791922137791442721/2837831439309321078394754690890430242028339657509497034780111300*t^5 - 702806331815985826305349504519355807574647059963392768951/3972964015033049509752656567246602338839675520513295848692155820*t^3 + 2735399507074858496256994902651573514051510003942263831/5806639714279072360407728829052726495227218068442509317319304660*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:
| (0.99801892256191654731 + 2.4942150582975531025e-448j)  +/-  (1.78e-117, 1.78e-117j)
| (-0.85001680456214491633 + 7.9385326090884066262e-462j)  +/-  (5.99e-118, 5.99e-118j)
| (-0.89843346559934327684 - 1.1898995315060181868e-461j)  +/-  (1.51e-117, 1.51e-117j)
| (-0.96811291912570600223 + 2.8392573049890854922e-460j)  +/-  (4.25e-117, 4.25e-117j)
| (0.93798437900993878791 - 1.183085566311008874e-459j)  +/-  (3.15e-117, 3.15e-117j)
| (0.89843346559934327684 + 2.749506416345590917e-472j)  +/-  (1.5e-117, 1.5e-117j)
| (-0.99801892256191654731 + 9.4759144519288767816e-481j)  +/-  (1.8e-117, 1.8e-117j)
| (-0.93798437900993878791 - 3.0654537520278008594e-482j)  +/-  (3.08e-117, 3.08e-117j)
| (-0.98812513120329170302 - 6.9357211832567204847e-485j)  +/-  (4.31e-117, 4.31e-117j)
| (0.96811291912570600223 + 2.0177384671524809475e-484j)  +/-  (4.17e-117, 4.17e-117j)
| (0.85001680456214491633 + 4.9226120790438867977e-497j)  +/-  (6.02e-118, 6.02e-118j)
| (0.98812513120329170302 - 3.6280800699731342764e-501j)  +/-  (3.77e-117, 3.77e-117j)
| (-0.31450259120229373939 - 3.9244608348609472207e-518j)  +/-  (8.51e-124, 8.51e-124j)
| (-0.79304471295578093547 + 1.1723756726378685392e-513j)  +/-  (1.98e-118, 1.98e-118j)
| (0.13746449867876437507 + 4.0983525254941072536e-517j)  +/-  (4.88e-126, 4.88e-126j)
| (0.79304471295578093547 + 1.040101099276272559e-511j)  +/-  (1.86e-118, 1.86e-118j)
| (0.40545074306610185911 - 1.9087031202443461506e-518j)  +/-  (1.21e-122, 1.21e-122j)
| (-0.061237645707923134607 - 1.2768538587976906394e-520j)  +/-  (5.92e-127, 5.92e-127j)
| (-0.72799373091578229991 + 2.5007123671327542779e-515j)  +/-  (4.54e-119, 4.54e-119j)
| (-0.40545074306610185911 - 7.3740762553543529997e-520j)  +/-  (1.18e-122, 1.18e-122j)
| (0.49362076485802038841 - 8.6609349451024628724e-517j)  +/-  (1.3e-121, 1.3e-121j)
| (0.72799373091578229991 - 1.7179052177409078582e-515j)  +/-  (4.08e-119, 4.08e-119j)
| (0.061237645707923134607 - 2.1281207650927491322e-522j)  +/-  (5.92e-127, 5.92e-127j)
| (-0.49362076485802038841 - 5.196365361218134328e-518j)  +/-  (1.22e-121, 1.22e-121j)
| (-0.57735026918962576451 + 4.2649251334350976295e-517j)  +/-  (1.08e-120, 1.08e-120j)
| (7.2431265375449854827e-524 - 4.6180788073752830674e-525j)  +/-  (2.4e-522, 2.4e-522j)
| (0.65575301930606699162 + 3.0127957414281792672e-516j)  +/-  (7.6e-120, 7.6e-120j)
| (0.22374161346734564129 + 7.3151056736160395126e-524j)  +/-  (6.1e-125, 6.1e-125j)
| (-0.13746449867876437507 + 6.5122214561470375705e-524j)  +/-  (4.56e-126, 4.56e-126j)
| (-0.65575301930606699162 - 2.5615514266172740269e-519j)  +/-  (7.63e-120, 7.63e-120j)
| (-0.22374161346734564129 + 1.7733352302657428546e-524j)  +/-  (6.36e-125, 6.36e-125j)
| (0.31450259120229373939 + 1.2863334482267196364e-521j)  +/-  (9.78e-124, 9.78e-124j)
| (0.57735026918962576451 - 1.4402746997076350824e-520j)  +/-  (1.11e-120, 1.11e-120j)
-------------------------------------------------
The weights are:
| (0.0053257741502133992683 - 2.6802009755230760737e-448j)  +/-  (6.8e-25, 1.68e-80j)
| (0.052743196010971422719 + 9.8374652169451617346e-450j)  +/-  (3.4e-25, 8.42e-81j)
| (0.044047603953790419601 - 7.1364094735720031551e-450j)  +/-  (2.56e-25, 6.32e-81j)
| (0.025169106244225931788 - 3.3916886599733950089e-450j)  +/-  (5.35e-26, 1.32e-81j)
| (0.034959463187138883666 + 1.6250105193488112263e-448j)  +/-  (5.21e-27, 1.29e-82j)
| (0.044047603953790419601 - 1.3590198009158463219e-448j)  +/-  (2.66e-27, 6.57e-83j)
| (0.0053257741502133992683 - 6.654997106391906188e-451j)  +/-  (4.12e-27, 1.02e-82j)
| (0.034959463187138883666 + 5.0390804969385581897e-450j)  +/-  (9.51e-27, 2.35e-82j)
| (0.014824302968913652516 + 1.9965653951834846698e-450j)  +/-  (5.89e-27, 1.46e-82j)
| (0.025169106244225931788 - 2.2298222113712873281e-448j)  +/-  (1.65e-27, 4.09e-83j)
| (0.052743196010971422719 + 1.2283599337143614382e-448j)  +/-  (1.62e-28, 4e-84j)
| (0.014824302968913652516 + 4.0080352853837826167e-448j)  +/-  (1.36e-27, 3.35e-83j)
| (0.091466619460264889036 - 1.6417640930395530717e-448j)  +/-  (1.37e-30, 3.38e-86j)
| (0.061126690721455201564 - 1.3424299416620366626e-449j)  +/-  (8.32e-29, 2.06e-84j)
| (0.082316628664337962017 - 9.1328327390592391772e-448j)  +/-  (3.13e-31, 7.75e-87j)
| (0.061126690721455201564 - 1.1730146228580311523e-448j)  +/-  (7.62e-30, 1.88e-85j)
| (0.089935583592318794674 + 2.1990485189981817456e-448j)  +/-  (1.85e-31, 4.58e-87j)
| (0.068892742596881966076 + 1.408993236320317892e-447j)  +/-  (1.72e-31, 4.25e-87j)
| (0.068821090768974273997 + 1.8501306243452820105e-449j)  +/-  (6.13e-31, 1.52e-86j)
| (0.089935583592318794674 + 9.2847477180033345036e-449j)  +/-  (8.94e-32, 2.21e-87j)
| (0.086136699700780556953 - 1.702828549890598956e-448j)  +/-  (1.56e-32, 3.85e-88j)
| (0.068821090768974273997 + 1.1826114625692352255e-448j)  +/-  (3.79e-32, 9.38e-88j)
| (0.068892742596881966076 + 1.5932057750265346657e-447j)  +/-  (2.4e-32, 5.92e-88j)
| (0.086136699700780556953 - 5.7581169949514843591e-449j)  +/-  (5.34e-33, 1.32e-88j)
| (0.081188999506112123095 + 3.8011993202849973602e-449j)  +/-  (3.43e-33, 8.48e-89j)
| (0.056461566910605171053 - 1.9354602101726480827e-447j)  +/-  (5.8e-33, 1.43e-88j)
| (0.075481566577958389314 - 1.2620024306656331166e-448j)  +/-  (1.67e-34, 4.13e-90j)
| (0.089333148440359548189 + 5.1063796749182555074e-448j)  +/-  (3.56e-34, 8.81e-90j)
| (0.082316628664337962017 - 6.9215450170022043603e-448j)  +/-  (5e-34, 1.23e-89j)
| (0.075481566577958389314 - 2.6118498621549980707e-449j)  +/-  (5.87e-35, 1.45e-90j)
| (0.089333148440359548189 + 3.2361119853782542317e-448j)  +/-  (1.97e-34, 4.86e-90j)
| (0.091466619460264889036 - 3.1525957665960579413e-448j)  +/-  (1.84e-35, 4.6e-91j)
| (0.081188999506112123095 + 1.4235175958332651227e-448j)  +/-  (4.25e-36, 1.03e-91j)
