Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 40
-------------------------------------------------
Trying to find an order 40 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^43 - 2807153741979615133/103405640900972022*t^41 + 574368720495273654755/4187928456489366891*t^39 - 2484174003500480231395/5804321895836140077*t^37 + 39316467745554283347505/42565027236131693898*t^35 - 186787319153460529602553/127695081708395081694*t^33 + 1242855012253884469806548/706192497326730376035*t^31 - 16480413486296711861490724/10027933462039571339697*t^29 + 834766976846934650174243497/691927408880730422439093*t^27 - 1203443177826227250434647307/1717005051666997714941453*t^25 + 72307735798407625789688870/223957180652217093253233*t^23 - 237121415456875491367146074/2015614625869953839279097*t^21 + 1380518244194067904981000855/40984164059355728065341639*t^19 - 6041246861439433868327540605/806021893167329318618385567*t^17 + 3082727435817647125214998540/2418065679501987955855156701*t^15 - 1435791969647763621968129300/8866240824840622504802241237*t^13 + 13971533575161096208650277993/939821527433105985509037571122*t^11 - 241247326059800987943101995/256314962027210723320646610306*t^9 + 3821787586464518591083735/99678040788359725735807015119*t^7 - 38441514931167549917365/42719160337868453886774435051*t^5 + 6852091477776915366532055/686667783270897527776012269009774*t^3 - 53011847975560514091649/1602224827632094231477361961022806*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:
| (-0.98544547375341350032 + 4.6369560920539179422e-842j)  +/-  (4.46e-240, 4.46e-240j)
| (-0.99500543531732884972 + 6.3860858537975961721e-847j)  +/-  (4.14e-240, 4.14e-240j)
| (-0.92491477735576524157 + 7.7013471218774625122e-856j)  +/-  (1.04e-240, 1.04e-240j)
| (0.99933888183715517208 - 1.1649712562304138834e-851j)  +/-  (1.77e-240, 1.77e-240j)
| (0.92491477735576524157 - 2.5526573524073183782e-865j)  +/-  (1.02e-240, 1.02e-240j)
| (0.95031557461792315437 + 4.8817749018694687023e-876j)  +/-  (2.1e-240, 2.1e-240j)
| (-0.95031557461792315437 + 8.0649295169511146241e-890j)  +/-  (2.24e-240, 2.24e-240j)
| (-0.89446325430860287476 + 4.985155631136878955e-892j)  +/-  (4.27e-241, 4.27e-241j)
| (-0.99933888183715517208 - 3.0294607115054455907e-889j)  +/-  (1.77e-240, 1.77e-240j)
| (0.99500543531732884972 + 8.1245649120070894938e-899j)  +/-  (4.29e-240, 4.29e-240j)
| (0.81909853184898019962 + 1.2316028257392734647e-920j)  +/-  (4.46e-242, 4.46e-242j)
| (0.98544547375341350032 - 1.20902415721887973e-924j)  +/-  (4.58e-240, 4.58e-240j)
| (-0.61679433055058544069 - 1.8096510306816355408e-951j)  +/-  (4.52e-245, 4.52e-245j)
| (-0.85912690287453322245 - 7.5959000496045059507e-946j)  +/-  (1.54e-241, 1.54e-241j)
| (0.97052802277417746491 - 8.0700450081836428602e-943j)  +/-  (3.45e-240, 3.45e-240j)
| (0.85912690287453322245 + 4.2997715121702696101e-952j)  +/-  (1.51e-241, 1.51e-241j)
| (0.89446325430860287476 + 1.4514147799730100041e-956j)  +/-  (4.55e-241, 4.55e-241j)
| (-0.36095839141911379512 - 4.803642848991833517e-971j)  +/-  (2.76e-249, 2.76e-249j)
| (-0.72586431796511602165 + 1.3170959269722105395e-962j)  +/-  (2.22e-243, 2.22e-243j)
| (-0.97052802277417746491 - 2.4705679265377893824e-961j)  +/-  (3.29e-240, 3.29e-240j)
| (0.77459666924148337704 - 3.2896534869573483195e-965j)  +/-  (9.98e-243, 9.98e-243j)
| (0.72586431796511602165 - 1.2137537612858193509e-969j)  +/-  (1.99e-243, 1.99e-243j)
| (0.21977387039115541258 + 2.0320412186050753617e-978j)  +/-  (9.7e-252, 9.7e-252j)
| (-0.81909853184898019962 - 2.161105446400788943e-966j)  +/-  (4.43e-242, 4.43e-242j)
| (-0.77459666924148337704 + 7.0478841909692708617e-970j)  +/-  (1.11e-242, 1.11e-242j)
| (0.14718617801380025857 - 1.6528193953707149387e-982j)  +/-  (4.55e-253, 4.55e-253j)
| (0.61679433055058544069 - 9.594516009752189261e-974j)  +/-  (4.69e-245, 4.69e-245j)
| (0.67316760748285544209 + 4.5653473227024004373e-974j)  +/-  (3.69e-244, 3.69e-244j)
| (-0.073794608601719502957 + 5.1610241899449415634e-983j)  +/-  (2.01e-254, 2.01e-254j)
| (-0.67316760748285544209 + 1.3031758534581041153e-974j)  +/-  (3.5e-244, 3.5e-244j)
| (-0.29116123856529143669 + 2.4955327849629927165e-982j)  +/-  (1.53e-250, 1.53e-250j)
| (0.29116123856529143669 - 2.9740916942730249299e-984j)  +/-  (1.59e-250, 1.59e-250j)
| (0.49426799723683859419 - 1.4624607716490866975e-980j)  +/-  (5.52e-247, 5.52e-247j)
| (0.073794608601719502957 + 3.4159519976424279185e-987j)  +/-  (2.01e-254, 2.01e-254j)
| (-0.49426799723683859419 - 2.7667012729408445898e-977j)  +/-  (5.44e-247, 5.44e-247j)
| (-0.42878412349565830447 + 1.5818987372753704839e-979j)  +/-  (4.22e-248, 4.22e-248j)
| (4.7186926733521632856e-998 - 2.1894100103069060205e-997j)  +/-  (9.63e-996, 9.63e-996j)
| (0.5570523665246407664 + 1.2364837955148051849e-980j)  +/-  (5.38e-246, 5.38e-246j)
| (0.36095839141911379512 + 2.5920783123023805805e-983j)  +/-  (2.81e-249, 2.81e-249j)
| (-0.21977387039115541258 - 3.448402861260248849e-985j)  +/-  (7.7e-252, 7.7e-252j)
| (-0.5570523665246407664 + 7.6138258964727695547e-981j)  +/-  (5.31e-246, 5.31e-246j)
| (-0.14718617801380025857 + 1.4647510649704995289e-988j)  +/-  (4.49e-253, 4.49e-253j)
| (0.42878412349565830447 - 1.7633309880963527322e-985j)  +/-  (4.04e-248, 4.04e-248j)
-------------------------------------------------
The weights are:
| (0.012243642893484482319 + 1.1232960704945085039e-843j)  +/-  (1.37e-72, 1.03e-187j)
| (0.0068838127757909781959 + 4.2259647722035458915e-842j)  +/-  (8.51e-73, 6.4e-188j)
| (0.027951506197656432298 - 1.4512376321205708103e-842j)  +/-  (1.38e-73, 1.04e-188j)
| (0.0019961462059587492035 + 7.7671591032972082203e-845j)  +/-  (1.19e-73, 8.97e-189j)
| (0.027951506197656432298 - 4.598310668542491042e-844j)  +/-  (4.79e-74, 3.6e-189j)
| (0.022827116117497172085 + 4.0887386688323185605e-844j)  +/-  (3.65e-74, 2.75e-189j)
| (0.022827116117497172085 + 2.2530207032021662109e-842j)  +/-  (8.37e-74, 6.3e-189j)
| (0.032923869285219561311 + 1.0496487011850177319e-842j)  +/-  (1.04e-74, 7.8e-190j)
| (0.0019961462059587492035 - 1.1095739003949470015e-842j)  +/-  (4.58e-74, 3.45e-189j)
| (0.0068838127757909781959 - 2.0399173876550106817e-844j)  +/-  (2.5e-74, 1.88e-189j)
| (0.042303620788642913241 + 6.0092409568818924229e-844j)  +/-  (1.93e-76, 1.45e-191j)
| (0.012243642893484482319 + 2.880556177074503839e-844j)  +/-  (9.72e-75, 7.31e-190j)
| (0.058110525101020146348 + 3.451905982756498256e-843j)  +/-  (4.87e-78, 3.66e-193j)
| (0.037716679280047802895 - 8.1002523706743640729e-843j)  +/-  (6.44e-76, 4.85e-191j)
| (0.017579880053560131534 - 3.5298504125286855165e-844j)  +/-  (5.38e-75, 4.05e-190j)
| (0.037716679280047802895 - 5.5471479040910556504e-844j)  +/-  (4.02e-77, 3.02e-192j)
| (0.032923869285219561311 + 5.0799953078720962509e-844j)  +/-  (1.39e-76, 1.04e-191j)
| (0.068874147892548020782 + 2.2193757942505487662e-843j)  +/-  (3.93e-81, 2.95e-196j)
| (0.050760741762691498882 + 4.5797887277176041449e-843j)  +/-  (1.04e-79, 7.85e-195j)
| (0.017579880053560131534 - 4.6283529066802383071e-842j)  +/-  (5.27e-77, 3.97e-192j)
| (0.04665958148608067867 - 6.4737067858138116836e-844j)  +/-  (1.73e-79, 1.3e-194j)
| (0.050760741762691498882 + 6.9468805147016592925e-844j)  +/-  (1.79e-80, 1.35e-195j)
| (0.072053130132997912935 + 1.1763179310633518655e-843j)  +/-  (1.55e-83, 1.16e-198j)
| (0.042303620788642913241 + 6.5188727833279852233e-843j)  +/-  (7.33e-80, 5.52e-195j)
| (0.04665958148608067867 - 5.403872924663062298e-843j)  +/-  (2.4e-80, 1.8e-195j)
| (0.073056143975906456656 - 1.2604194876648965323e-843j)  +/-  (1.87e-84, 1.41e-199j)
| (0.058110525101020146348 + 7.9423118576393892854e-844j)  +/-  (1.81e-83, 1.36e-198j)
| (0.054584687449223886934 - 7.4345489895545502056e-844j)  +/-  (1.14e-82, 8.58e-198j)
| (0.073660152023406413986 + 1.5724238818638932617e-843j)  +/-  (5.17e-86, 3.89e-201j)
| (0.054584687449223886934 - 3.9487407679823892677e-843j)  +/-  (1.3e-83, 9.76e-199j)
| (0.070656588841289703218 - 2.022028522243578319e-843j)  +/-  (6.26e-86, 4.71e-201j)
| (0.070656588841289703218 - 1.0996827910068701063e-843j)  +/-  (3.83e-86, 2.88e-201j)
| (0.064192564290739329691 + 9.0411555492709648163e-844j)  +/-  (3.48e-86, 2.62e-201j)
| (0.073660152023406413986 + 1.3533301787538660597e-843j)  +/-  (2.04e-86, 1.53e-201j)
| (0.064192564290739329691 + 2.7237245473916820907e-843j)  +/-  (6.82e-87, 5.13e-202j)
| (0.06671554291567633528 - 2.4503014359735376848e-843j)  +/-  (6.58e-87, 4.95e-202j)
| (0.073861855264055507251 - 1.4566710574782727667e-843j)  +/-  (1.9e-87, 1.42e-202j)
| (0.061318992898533639909 - 8.4758505640332300028e-844j)  +/-  (1.79e-87, 1.34e-202j)
| (0.068874147892548020782 + 1.0293875630386970507e-843j)  +/-  (4.31e-88, 3.26e-203j)
| (0.072053130132997912935 + 1.8516047712819737786e-843j)  +/-  (1.24e-88, 9.45e-204j)
| (0.061318992898533639909 - 3.05186595950205619e-843j)  +/-  (1.68e-88, 1.27e-203j)
| (0.073056143975906456656 - 1.7030423145970562134e-843j)  +/-  (1.04e-88, 7.97e-204j)
| (0.06671554291567633528 - 9.644741971426337555e-844j)  +/-  (6.69e-89, 4.62e-204j)
