Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 36
-------------------------------------------------
Trying to find an order 36 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^39 - 75649945733402547/3108479462940686*t^37 + 124076547139063299417/1134595003973350390*t^35 - 285123847474693168851/947720532730680914*t^33 + 6176186535747916726038/10898786126402830511*t^31 - 565407303715890287573922/730218670468989644237*t^29 + 579257126668033522482774/730218670468989644237*t^27 - 2268012178494027456954606/3651093352344948221185*t^25 + 16731130682471656208787315/44543338898608368298457*t^23 - 20108207809846574599396215/114263347609473640417781*t^21 + 7282673225089771178054385/114263347609473640417781*t^19 - 2022904381752673625012625/114263347609473640417781*t^17 + 22523870046629786944248594/6055957423302102942142393*t^15 - 3503403462302524350719730/6055957423302102942142393*t^13 + 2737703044558246890646170/42391701963114720594996751*t^11 - 9852270725891205453454470/1992409992266391867964847297*t^9 + 138089956500983413921995/569259997790397676561384942*t^7 - 65943957784180986081/9648474538820299602735338*t^5 + 1549058235570684336118335/17061291393776008764221268096682*t^3 - 91731379968595680885/254646140205612071107780120846*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
  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:
| (0.9332707041800037853 + 5.5706998934279389645e-869j)  +/-  (4.32e-242, 4.32e-242j)
| (0.99095857736568291743 - 4.3143718404001067137e-869j)  +/-  (5.97e-242, 5.97e-242j)
| (-0.86515426202528166596 - 5.4022788341364750117e-871j)  +/-  (8.73e-243, 8.73e-243j)
| (0.97771142055653201907 - 7.6972100905973217482e-884j)  +/-  (7.27e-242, 7.27e-242j)
| (0.86515426202528166596 + 4.2808513444040833437e-886j)  +/-  (8.41e-243, 8.41e-243j)
| (0.82256564408747997811 - 6.4200222369899650038e-889j)  +/-  (2.55e-243, 2.55e-243j)
| (-0.99828761273361525886 + 4.7371865806947123922e-893j)  +/-  (2.35e-242, 2.35e-242j)
| (-0.95848636789545300044 + 8.5873854628324092697e-925j)  +/-  (6.66e-242, 6.66e-242j)
| (-0.9332707041800037853 + 3.765159752965226564e-941j)  +/-  (4.35e-242, 4.35e-242j)
| (0.99828761273361525886 + 3.0178956659829025974e-953j)  +/-  (2.2e-242, 2.2e-242j)
| (0.95848636789545300044 - 1.5163298512777365109e-955j)  +/-  (6.64e-242, 6.64e-242j)
| (-0.97771142055653201907 + 1.7170841780743473502e-956j)  +/-  (8.08e-242, 8.08e-242j)
| (-0.90211863270594166939 - 7.3246863639584609438e-966j)  +/-  (2.17e-242, 2.17e-242j)
| (-0.82256564408747997811 + 3.6715896717385046433e-972j)  +/-  (2.68e-243, 2.68e-243j)
| (-0.99095857736568291743 + 1.6674566782471313633e-978j)  +/-  (6.03e-242, 6.03e-242j)
| (0.77459666924148337704 + 1.8729463899560818372e-983j)  +/-  (6.61e-244, 6.61e-244j)
| (0.90211863270594166939 + 1.1669286194978153436e-985j)  +/-  (1.97e-242, 1.97e-242j)
| (-0.31746031394630736942 - 3.579563327839260459e-995j)  +/-  (1.64e-250, 1.64e-250j)
| (-0.77459666924148337704 + 7.0412958923751612303e-988j)  +/-  (6.56e-244, 6.56e-244j)
| (-0.72153965246390662544 - 6.8900019896354319054e-992j)  +/-  (1.39e-244, 1.39e-244j)
| (0.23995599486873791187 + 5.8828036223240549675e-1004j)  +/-  (8.6e-252, 8.6e-252j)
| (0.72153965246390662544 + 9.809672614890042604e-995j)  +/-  (1.37e-244, 1.37e-244j)
| (0.16086040113259304066 + 1.4423592587477897264e-1006j)  +/-  (4.23e-253, 4.23e-253j)
| (-0.60153715634301563456 - 8.1283644767302737051e-999j)  +/-  (3.14e-246, 3.14e-246j)
| (-0.53536825110532162962 + 1.7543378397599742101e-999j)  +/-  (3.83e-247, 3.83e-247j)
| (-0.080697855227195969827 - 1.2048235654363059377e-1007j)  +/-  (1.91e-254, 1.91e-254j)
| (0.6637292012532213473 + 5.2479737970128673909e-998j)  +/-  (2.27e-245, 2.27e-245j)
| (0.46565619597650262282 - 5.8454548176181714105e-1003j)  +/-  (3.32e-248, 3.32e-248j)
| (-0.16086040113259304066 - 2.7561979543946128864e-1007j)  +/-  (4.23e-253, 4.23e-253j)
| (-0.6637292012532213473 - 3.1254220341170541758e-1001j)  +/-  (2.41e-245, 2.41e-245j)
| (-0.23995599486873791187 + 3.2008993075402532536e-1007j)  +/-  (8.78e-252, 8.78e-252j)
| (0.39285998704985555199 + 5.5887509424840640756e-1005j)  +/-  (2.63e-249, 2.63e-249j)
| (0.60153715634301563456 + 2.4427459920826608405e-1002j)  +/-  (3.11e-246, 3.11e-246j)
| (-2.8453607891135175531e-1016 + 2.723753781680669473e-1016j)  +/-  (1.54e-1014, 1.54e-1014j)
| (-0.46565619597650262282 - 1.6356544878238807294e-1006j)  +/-  (3.63e-248, 3.63e-248j)
| (-0.39285998704985555199 - 1.1666303377140897258e-1008j)  +/-  (2.68e-249, 2.68e-249j)
| (0.080697855227195969827 + 1.5839509922219513645e-1012j)  +/-  (1.91e-254, 1.91e-254j)
| (0.53536825110532162962 - 2.4389190942738308938e-1005j)  +/-  (3.72e-247, 3.72e-247j)
| (0.31746031394630736942 - 1.6521091067041414587e-1009j)  +/-  (1.78e-250, 1.78e-250j)
-------------------------------------------------
The weights are:
| (0.028198841479904766812 - 3.4102720772612581187e-869j)  +/-  (1.1e-75, 4.32e-193j)
| (0.010275735709093053099 + 1.4605175417222202527e-869j)  +/-  (3.78e-76, 1.48e-193j)
| (0.039812757349654628338 - 2.4586721372164096613e-870j)  +/-  (1.96e-77, 7.67e-195j)
| (0.01622908897148057204 - 4.3604668940408011043e-869j)  +/-  (4.55e-76, 1.78e-193j)
| (0.039812757349654628338 - 5.0141401883830280624e-869j)  +/-  (5.05e-77, 1.98e-194j)
| (0.04532370573700185118 + 3.7204512114481312901e-869j)  +/-  (1.43e-77, 5.59e-195j)
| (0.004396867555532816538 - 1.2396668056429044331e-871j)  +/-  (2.26e-78, 8.85e-196j)
| (0.022223475834563726584 + 1.1306812672870274988e-870j)  +/-  (4.48e-78, 1.75e-195j)
| (0.028198841479904766812 - 1.4386465822278360528e-870j)  +/-  (4.52e-78, 1.77e-195j)
| (0.004396867555532816538 + 1.9912290336332058168e-869j)  +/-  (5.51e-77, 2.16e-194j)
| (0.022223475834563726584 - 1.0417066796536508779e-869j)  +/-  (1.17e-76, 4.6e-194j)
| (0.01622908897148057204 - 7.7318184716574158673e-871j)  +/-  (5.18e-79, 2.03e-196j)
| (0.034084501105053795703 + 1.5516585994160665451e-870j)  +/-  (1.54e-79, 6.03e-197j)
| (0.04532370573700185118 + 3.3522983076286759047e-870j)  +/-  (7.13e-81, 2.79e-198j)
| (0.010275735709093053099 + 4.1857949993403642136e-871j)  +/-  (2.96e-79, 1.16e-196j)
| (0.050565423314082599613 - 2.973742800775145725e-869j)  +/-  (9.26e-82, 3.63e-199j)
| (0.034084501105053795703 + 8.287962238897361516e-869j)  +/-  (5.87e-80, 2.3e-197j)
| (0.076536464785274936221 + 5.8324210798304141587e-870j)  +/-  (4.3e-85, 1.69e-202j)
| (0.050565423314082599613 - 3.4269486491077511792e-870j)  +/-  (1.42e-82, 5.54e-200j)
| (0.055492758908655650936 + 3.6783226200219320592e-870j)  +/-  (1.96e-83, 7.69e-201j)
| (0.078386551455346526904 - 1.0425649602683764977e-869j)  +/-  (7.88e-87, 3.09e-204j)
| (0.055492758908655650936 + 2.471594199465794744e-869j)  +/-  (6.5e-85, 2.55e-202j)
| (0.079717188406608875796 + 9.5044195079437169303e-870j)  +/-  (5.96e-87, 2.33e-204j)
| (0.064250471049795100707 + 4.3001935997026564613e-870j)  +/-  (3.94e-86, 1.54e-203j)
| (0.068014993117022885668 - 4.645072155011792526e-870j)  +/-  (1.1e-86, 4.29e-204j)
| (0.080519235338957619044 - 7.366642895089799149e-870j)  +/-  (1.74e-88, 6.81e-206j)
| (0.060066098418145257321 - 2.1056610325871710275e-869j)  +/-  (1.52e-87, 5.95e-205j)
| (0.0713325580872711329 + 1.4236797441506712172e-869j)  +/-  (7.91e-89, 3.1e-206j)
| (0.079717188406608875796 + 6.8040424248971632366e-870j)  +/-  (1.08e-88, 4.25e-206j)
| (0.060066098418145257321 - 3.9766699970412260463e-870j)  +/-  (3.35e-87, 1.31e-204j)
| (0.078386551455346526904 - 6.2956551094091618153e-870j)  +/-  (8.25e-89, 3.23e-206j)
| (0.074179685498332633133 - 1.2746751069010782366e-869j)  +/-  (6.26e-90, 2.45e-207j)
| (0.064250471049795100707 + 1.825519891269268615e-869j)  +/-  (1.35e-89, 5.29e-207j)
| (0.080787195756443142925 + 7.9945221426340757235e-870j)  +/-  (6.21e-90, 2.43e-207j)
| (0.0713325580872711329 + 5.012739138966599817e-870j)  +/-  (8.47e-90, 3.32e-207j)
| (0.074179685498332633133 - 5.4068495167981144196e-870j)  +/-  (5.13e-90, 2.01e-207j)
| (0.080519235338957619044 - 8.701376735324864962e-870j)  +/-  (1.67e-90, 6.56e-208j)
| (0.068014993117022885668 - 1.6037154821849820338e-869j)  +/-  (4.3e-91, 1.74e-208j)
| (0.076536464785274936221 + 1.1493717731383005405e-869j)  +/-  (4.63e-91, 1.78e-208j)
