Starting with polynomial:
P : t
Extension levels are: 1 2 36
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 36 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^39 - 75649945733402547/7771198657351715*t^37 + 124076547139063299417/2836487509933375975*t^35 - 285123847474693168851/2369301331826702285*t^33 + 12352373071495833452076/54493930632014152555*t^31 - 1130814607431780575147844/3651093352344948221185*t^29 + 1158514253336067044965548/3651093352344948221185*t^27 - 4536024356988054913909212/18255466761724741105925*t^25 + 6692452272988662483514926/44543338898608368298457*t^23 - 8043283123938629839758486/114263347609473640417781*t^21 + 2913069290035908471221754/114263347609473640417781*t^19 - 809161752701069450005050/114263347609473640417781*t^17 + 45047740093259573888497188/30279787116510514710711965*t^15 - 1401361384921009740287892/6055957423302102942142393*t^13 + 1095081217823298756258468/42391701963114720594996751*t^11 - 3940908290356482181381788/1992409992266391867964847297*t^9 + 27617991300196682784399/284629998895198838280692471*t^7 - 65943957784180986081/24121186347050749006838345*t^5 + 309811647114136867223667/8530645696888004382110634048341*t^3 - 18346275993719136177/127323070102806035553890060423*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 - 2.5806029615632060367e-867j)  +/-  (4.72e-242, 4.72e-242j)
| (0.99095857736568291743 + 1.8315972586755241785e-868j)  +/-  (7.37e-242, 7.37e-242j)
| (-0.86515426202528166596 - 1.6119113410395828846e-870j)  +/-  (8.94e-243, 8.94e-243j)
| (0.97771142055653201907 + 4.0430855132231674201e-880j)  +/-  (8.06e-242, 8.06e-242j)
| (0.86515426202528166596 + 4.0849485840203256103e-883j)  +/-  (8.92e-243, 8.92e-243j)
| (0.82256564408747997811 + 1.1412222374195226767e-885j)  +/-  (2.87e-243, 2.87e-243j)
| (-0.99828761273361525886 + 4.4278430499203453671e-892j)  +/-  (2.42e-242, 2.42e-242j)
| (-0.95848636789545300044 + 1.0530774203946098095e-923j)  +/-  (6.78e-242, 6.78e-242j)
| (-0.9332707041800037853 + 7.5347546126329244885e-940j)  +/-  (4.66e-242, 4.66e-242j)
| (0.99828761273361525886 - 1.1737290838506529816e-951j)  +/-  (2.37e-242, 2.37e-242j)
| (0.95848636789545300044 + 1.3751374640901965528e-953j)  +/-  (7.18e-242, 7.18e-242j)
| (-0.97771142055653201907 - 9.1948215205889595177e-954j)  +/-  (8e-242, 8e-242j)
| (-0.90211863270594166939 - 2.7608049158365376417e-965j)  +/-  (2.35e-242, 2.35e-242j)
| (-0.82256564408747997811 + 1.1377553141419515084e-971j)  +/-  (2.62e-243, 2.62e-243j)
| (-0.99095857736568291743 - 2.7572887877248259127e-980j)  +/-  (6.86e-242, 6.86e-242j)
| (0.77459666924148337704 + 3.0571113870936135245e-983j)  +/-  (7.19e-244, 7.19e-244j)
| (0.90211863270594166939 - 1.8422288142492322518e-984j)  +/-  (2.28e-242, 2.28e-242j)
| (-0.31746031394630736942 - 2.5886934185670568968e-992j)  +/-  (1.42e-250, 1.42e-250j)
| (-0.77459666924148337704 + 4.9879860486627577916e-986j)  +/-  (6.64e-244, 6.64e-244j)
| (-0.72153965246390662544 + 9.8545837999267200589e-992j)  +/-  (1.33e-244, 1.33e-244j)
| (0.23995599486873791187 - 3.6061734609665903015e-1002j)  +/-  (1.01e-251, 1.01e-251j)
| (0.72153965246390662544 - 6.3463614817746205748e-995j)  +/-  (1.61e-244, 1.61e-244j)
| (0.16086040113259304066 + 1.5268601407278638426e-1005j)  +/-  (4.37e-253, 4.37e-253j)
| (-0.60153715634301563456 + 1.5112372728978833464e-997j)  +/-  (2.99e-246, 2.99e-246j)
| (-0.53536825110532162962 - 1.3049847567738025824e-998j)  +/-  (3.11e-247, 3.11e-247j)
| (-0.080697855227195969827 - 1.0655784144197944989e-1006j)  +/-  (1.98e-254, 1.98e-254j)
| (0.6637292012532213473 + 1.0716356643508598098e-996j)  +/-  (2.43e-245, 2.43e-245j)
| (0.46565619597650262282 - 3.8949662729790475115e-1001j)  +/-  (2.99e-248, 2.99e-248j)
| (-0.16086040113259304066 - 3.8851934605367648489e-1006j)  +/-  (4.03e-253, 4.03e-253j)
| (-0.6637292012532213473 - 1.2748313929717746068e-999j)  +/-  (2.43e-245, 2.43e-245j)
| (-0.23995599486873791187 + 6.2512083357687701572e-1006j)  +/-  (1.05e-251, 1.05e-251j)
| (0.39285998704985555199 + 1.9529389359213881563e-1002j)  +/-  (2.47e-249, 2.47e-249j)
| (0.60153715634301563456 - 5.7815083600267344173e-1002j)  +/-  (2.98e-246, 2.98e-246j)
| (-1.9266068771173776549e-1016 + 1.8442662130528014935e-1016j)  +/-  (1.04e-1014, 1.04e-1014j)
| (-0.46565619597650262282 - 4.9599142173992831414e-1007j)  +/-  (2.86e-248, 2.86e-248j)
| (-0.39285998704985555199 + 6.9531586554671814385e-1008j)  +/-  (2.48e-249, 2.48e-249j)
| (0.080697855227195969827 + 4.1422574088897764451e-1013j)  +/-  (1.98e-254, 1.98e-254j)
| (0.53536825110532162962 + 4.7606807080485840901e-1006j)  +/-  (3.28e-247, 3.28e-247j)
| (0.31746031394630736942 - 1.0857678096858326718e-1008j)  +/-  (1.54e-250, 1.54e-250j)
-------------------------------------------------
The weights are:
| (0.028198841479904766812 + 4.2639242021384560043e-868j)  +/-  (1.1e-75, 4.96e-193j)
| (0.010275735709093053099 + 2.5939023151050301765e-868j)  +/-  (3.78e-76, 1.7e-193j)
| (0.039812757349654628338 + 6.1928816069835237538e-869j)  +/-  (1.96e-77, 8.81e-195j)
| (0.01622908897148057204 - 5.8719737818179293092e-868j)  +/-  (4.55e-76, 2.05e-193j)
| (0.039812757349654628338 + 1.578234693977958843e-867j)  +/-  (5.05e-77, 2.27e-194j)
| (0.04532370573700185118 - 1.0997135710905192721e-867j)  +/-  (1.43e-77, 6.43e-195j)
| (0.004396867555532816538 + 3.4365734678272316137e-870j)  +/-  (2.26e-78, 1.02e-195j)
| (0.022223475834563726584 - 3.2447141300014239091e-869j)  +/-  (4.48e-78, 2.02e-195j)
| (0.028198841479904766812 + 4.3143458936507434867e-869j)  +/-  (4.52e-78, 2.03e-195j)
| (0.004396867555532816538 - 1.6895262697531496381e-868j)  +/-  (5.51e-77, 2.48e-194j)
| (0.022223475834563726584 + 2.0504583698545200025e-867j)  +/-  (1.17e-76, 5.28e-194j)
| (0.01622908897148057204 + 2.1751918744422313792e-869j)  +/-  (5.18e-79, 2.33e-196j)
| (0.034084501105053795703 - 5.3968187775565117185e-869j)  +/-  (1.54e-79, 6.93e-197j)
| (0.04532370573700185118 - 6.9523604371976234848e-869j)  +/-  (7.13e-81, 3.21e-198j)
| (0.010275735709093053099 - 1.1658174337980480692e-869j)  +/-  (2.96e-79, 1.33e-196j)
| (0.050565423314082599613 + 8.4574405824600603542e-868j)  +/-  (9.26e-82, 4.17e-199j)
| (0.034084501105053795703 - 2.9293688977870470612e-867j)  +/-  (5.87e-80, 2.64e-197j)
| (0.076536464785274936221 - 1.4798436527060787059e-868j)  +/-  (4.3e-85, 1.94e-202j)
| (0.050565423314082599613 + 7.9298510440042499482e-869j)  +/-  (1.42e-82, 6.37e-200j)
| (0.055492758908655650936 - 8.8440248899993927267e-869j)  +/-  (1.96e-83, 8.83e-201j)
| (0.078386551455346526904 + 2.7073756876560580366e-868j)  +/-  (7.88e-87, 3.55e-204j)
| (0.055492758908655650936 - 6.851459035715356179e-868j)  +/-  (6.5e-85, 2.93e-202j)
| (0.079717188406608875796 - 2.4585951325087223756e-868j)  +/-  (5.96e-87, 2.68e-204j)
| (0.064250471049795100707 - 1.0668091830813819634e-868j)  +/-  (3.94e-86, 1.77e-203j)
| (0.068014993117022885668 + 1.1616663834792310282e-868j)  +/-  (1.1e-86, 4.93e-204j)
| (0.080519235338957619044 + 1.8871356326532869463e-868j)  +/-  (1.74e-88, 7.83e-206j)
| (0.060066098418145257321 + 5.7328051380972033904e-868j)  +/-  (1.52e-87, 6.83e-205j)
| (0.0713325580872711329 - 3.7569792495457504805e-868j)  +/-  (7.91e-89, 3.56e-206j)
| (0.079717188406608875796 - 1.7377242397196886794e-868j)  +/-  (1.08e-88, 4.88e-206j)
| (0.060066098418145257321 + 9.7494198178895867084e-869j)  +/-  (3.35e-87, 1.51e-204j)
| (0.078386551455346526904 + 1.6028338917418256587e-868j)  +/-  (8.25e-89, 3.71e-206j)
| (0.074179685498332633133 + 3.3424375987096787842e-868j)  +/-  (6.26e-90, 2.82e-207j)
| (0.064250471049795100707 - 4.9047444995294837217e-868j)  +/-  (1.35e-89, 6.08e-207j)
| (0.080787195756443142925 - 2.0542599140165363058e-868j)  +/-  (6.21e-90, 2.79e-207j)
| (0.0713325580872711329 - 1.261056586042645388e-868j)  +/-  (8.47e-90, 3.81e-207j)
| (0.074179685498332633133 + 1.3665512902093923394e-868j)  +/-  (5.13e-90, 2.3e-207j)
| (0.080519235338957619044 + 2.2430668104733292121e-868j)  +/-  (1.67e-90, 7.54e-208j)
| (0.068014993117022885668 + 4.2656308112438748878e-868j)  +/-  (4.3e-91, 2e-208j)
| (0.076536464785274936221 - 2.9980659405998350476e-868j)  +/-  (4.63e-91, 2.04e-208j)
