Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 36
-------------------------------------------------
Trying to find an order 36 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^38 - 6151067763419/435709684714*t^36 + 1892589174553455/30935387614694*t^34 - 115166568226265325/711513915137962*t^32 + 6966428163465981210/23835716157121727*t^30 - 118190006286121113498/309864310042582451*t^28 + 115164162527934153942/309864310042582451*t^26 - 400493995606239979950/1453978685584425347*t^24 + 584531116133358400875/3729771410847004151*t^22 - 255910733286646058775/3729771410847004151*t^20 + 1455660840327490335/63216464590627189*t^18 - 1159495938769765264605/197677884774891220003*t^16 + 220475227224573628650/197677884774891220003*t^14 - 30514044227475791250/197677884774891220003*t^12 + 974543704954697973150/65036024090939211380987*t^10 - 62808263360179655670/65036024090939211380987*t^8 + 30323473195023056565/799014010260110311252126*t^6 - 629328867502646025/799014010260110311252126*t^4 + 58744589538776625/9061158882311463742497514*t^2 - 3776740822221675/425874467468638795897383158
-------------------------------------------------
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
  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:
| (-0.99808583100955459773 + 8.6679450791441865151e-851j)  +/-  (7.01e-243, 7.01e-243j)
| (-0.98992487401502426484 + 7.398099253855167685e-862j)  +/-  (1.9e-242, 1.9e-242j)
| (-0.92690501468833052803 - 5.35508870978733746e-868j)  +/-  (1.34e-242, 1.34e-242j)
| (0.98992487401502426484 - 3.3802135355025289935e-876j)  +/-  (1.83e-242, 1.83e-242j)
| (0.89342716376484382121 + 1.0272549957418350709e-888j)  +/-  (7.12e-243, 7.12e-243j)
| (0.92690501468833052803 + 2.385616089091929995e-897j)  +/-  (1.37e-242, 1.37e-242j)
| (-0.80886356112223903859 + 3.9805005591705417485e-903j)  +/-  (8.78e-244, 8.78e-244j)
| (-0.89342716376484382121 + 2.4292683425708367851e-901j)  +/-  (6.99e-243, 6.99e-243j)
| (-0.97528603062275824043 - 4.7006739373204798651e-905j)  +/-  (2.29e-242, 2.29e-242j)
| (0.99808583100955459773 + 1.2526173691003070518e-915j)  +/-  (6.12e-243, 6.12e-243j)
| (0.85400154827060793942 - 7.7332652706671665152e-934j)  +/-  (2.74e-243, 2.74e-243j)
| (0.97528603062275824043 - 1.9811600593578079114e-946j)  +/-  (2.36e-242, 2.36e-242j)
| (-0.9542419483692988772 - 7.6246213465913531554e-959j)  +/-  (2.06e-242, 2.06e-242j)
| (-0.85400154827060793942 - 1.1873449117561131968e-965j)  +/-  (2.91e-243, 2.91e-243j)
| (0.9542419483692988772 - 8.0124235880498907314e-968j)  +/-  (2.14e-242, 2.14e-242j)
| (0.75829088066806341395 + 8.7484871196029132647e-976j)  +/-  (2.12e-244, 2.12e-244j)
| (0.80886356112223903859 - 2.1939003053218894063e-977j)  +/-  (8.55e-244, 8.55e-244j)
| (-0.28354139437925964276 + 2.0647437767132513404e-986j)  +/-  (3.5e-251, 3.5e-251j)
| (-0.70260253507192972213 + 6.7478213488662224574e-979j)  +/-  (4.22e-245, 4.22e-245j)
| (-0.50861174754702455233 + 4.5565340556580264691e-982j)  +/-  (9.34e-248, 9.34e-248j)
| (0.28354139437925964276 + 5.6227022972380350886e-986j)  +/-  (3.69e-251, 3.69e-251j)
| (0.70260253507192972213 + 1.6256104607166014282e-980j)  +/-  (4.81e-245, 4.81e-245j)
| (0.20393079629169525832 - 2.2777704353611913193e-988j)  +/-  (1.82e-252, 1.82e-252j)
| (-0.57735026918962576451 - 1.845084482644831318e-981j)  +/-  (8.74e-247, 8.74e-247j)
| (-0.75829088066806341395 - 1.8992457774458388396e-981j)  +/-  (2.26e-244, 2.26e-244j)
| (-0.041067697691747797974 + 2.4218722880657501441e-992j)  +/-  (7.24e-255, 7.24e-255j)
| (0.64215711019405852257 - 6.2190676746052890607e-984j)  +/-  (7.26e-246, 7.26e-246j)
| (0.3612083281437993622 - 4.4973283731355608944e-989j)  +/-  (5.76e-250, 5.76e-250j)
| (-0.12292112327191185847 - 6.5520746528243623152e-991j)  +/-  (9.06e-254, 9.06e-254j)
| (-0.64215711019405852257 + 2.0226837247580721125e-985j)  +/-  (6.77e-246, 6.77e-246j)
| (-0.20393079629169525832 + 1.4815947795314954089e-991j)  +/-  (1.97e-252, 1.97e-252j)
| (0.43640196053530900133 + 5.667441358919779022e-987j)  +/-  (8.35e-249, 8.35e-249j)
| (0.57735026918962576451 + 5.7719587836044099791e-986j)  +/-  (9.25e-247, 9.25e-247j)
| (0.041067697691747797974 - 3.8700163340870407284e-996j)  +/-  (3.88e-255, 3.88e-255j)
| (-0.43640196053530900133 - 1.2808197180541398036e-989j)  +/-  (7.88e-249, 7.88e-249j)
| (-0.3612083281437993622 + 4.9633014719854418394e-991j)  +/-  (6.02e-250, 6.02e-250j)
| (0.12292112327191185847 + 2.4412733663797844943e-994j)  +/-  (9.06e-254, 9.06e-254j)
| (0.50861174754702455233 - 3.2239691786455706849e-989j)  +/-  (9.84e-248, 9.84e-248j)
-------------------------------------------------
The weights are:
| (0.0049111800989142243457 + 1.1074184106508960573e-850j)  +/-  (1.11e-79, 8.46e-197j)
| (0.011408384941740834825 - 1.8082461621792412467e-850j)  +/-  (8.71e-80, 6.65e-197j)
| (0.030436100486372771863 + 8.5664740121719789397e-851j)  +/-  (1.27e-80, 9.66e-198j)
| (0.011408384941740834825 + 7.423007898156951859e-853j)  +/-  (1.83e-81, 1.39e-198j)
| (0.036487426846794008467 + 4.13301385273211374e-852j)  +/-  (1.11e-81, 8.5e-199j)
| (0.030436100486372771863 - 3.1676442230577186567e-852j)  +/-  (7.81e-82, 5.96e-199j)
| (0.047905105952177442373 - 5.9040875120499369823e-851j)  +/-  (5.94e-82, 4.53e-199j)
| (0.036487426846794008467 - 7.4696626813933505781e-851j)  +/-  (2.36e-81, 1.8e-198j)
| (0.017856982662747247694 + 1.2491266460783939352e-850j)  +/-  (3.75e-81, 2.86e-198j)
| (0.0049111800989142243457 - 2.13257407571205274e-853j)  +/-  (1.59e-82, 1.22e-199j)
| (0.042324572698145631372 - 5.1418366138624781956e-852j)  +/-  (3.22e-83, 2.46e-200j)
| (0.017856982662747247694 - 1.4432068654788804833e-852j)  +/-  (1.19e-82, 9.07e-200j)
| (0.024212474884708622067 - 1.007672824110362014e-850j)  +/-  (2.05e-82, 1.57e-199j)
| (0.042324572698145631372 + 6.6094167370818761723e-851j)  +/-  (1.01e-83, 7.72e-201j)
| (0.024212474884708622067 + 2.262954484732207705e-852j)  +/-  (7.35e-83, 5.61e-200j)
| (0.053187053307663060742 - 7.2491639609215593198e-852j)  +/-  (1.09e-85, 8.29e-203j)
| (0.047905105952177442373 + 6.1827123964201063953e-852j)  +/-  (7.33e-85, 5.6e-202j)
| (0.078728424327337678285 - 2.7953973457332736712e-851j)  +/-  (7.6e-89, 5.8e-206j)
| (0.058129831836602034145 - 4.7995010470856826567e-851j)  +/-  (2.34e-87, 1.78e-204j)
| (0.070553266989012265491 + 3.6229794537172833884e-851j)  +/-  (1.22e-88, 9.29e-206j)
| (0.078728424327337678285 + 1.5585152858772095155e-851j)  +/-  (3.81e-90, 2.9e-207j)
| (0.058129831836602034145 + 8.3388139563553776036e-852j)  +/-  (1.8e-88, 1.37e-205j)
| (0.080401936567106767284 - 1.6990066274495845367e-851j)  +/-  (2.3e-90, 1.75e-207j)
| (0.066846978986874341077 - 3.9670265080882608951e-851j)  +/-  (1.7e-89, 1.3e-206j)
| (0.053187053307663060742 + 5.3096459045368164006e-851j)  +/-  (1.38e-88, 1.05e-205j)
| (0.082088364444746811337 + 2.1807292879765729539e-851j)  +/-  (2.87e-91, 2.19e-208j)
| (0.062695023649719995678 - 9.4526380491465405208e-852j)  +/-  (1.7e-90, 1.3e-207j)
| (0.076517101275884314173 - 1.4254971858103096384e-851j)  +/-  (3.02e-91, 2.3e-208j)
| (0.081524784481412216592 - 2.3676469227425273199e-851j)  +/-  (1.39e-91, 1.06e-208j)
| (0.062695023649719995678 + 4.3561033232552338365e-851j)  +/-  (2.13e-90, 1.62e-207j)
| (0.080401936567106767284 + 2.5715812741965766504e-851j)  +/-  (1.16e-91, 8.82e-209j)
| (0.073785005562039732189 + 1.2986871508557646652e-851j)  +/-  (1.67e-92, 1.27e-209j)
| (0.066846978986874341077 + 1.0594330842261299931e-851j)  +/-  (2.18e-92, 1.67e-209j)
| (0.082088364444746811337 - 2.0083629750640159546e-851j)  +/-  (6.5e-93, 4.98e-210j)
| (0.073785005562039732189 - 3.316724871173065155e-851j)  +/-  (4.5e-93, 3.44e-210j)
| (0.076517101275884314173 + 3.0424532030767205665e-851j)  +/-  (3.53e-93, 2.7e-210j)
| (0.081524784481412216592 + 1.8484105020526502547e-851j)  +/-  (1.23e-93, 9.53e-211j)
| (0.070553266989012265491 - 1.1769810828333850846e-851j)  +/-  (8.28e-94, 6.12e-211j)
