Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 10 26
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : 5/2*t^13 - 124943/17112*t^11 + 2882165/359352*t^9 - 1552265/379316*t^7 + 52195/54188*t^5 - 488345/5527176*t^3 + 3421/1842392*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^39 - 3189268649727806706148217532503789540996578918504609895242606216498470312696897712229/130683639487006596138008922526980487256268256278467240700625746330984487530630113336*t^37 + 1810268022144681479045974479080611279650410921731492041833578734650546744384447367747985/16466138575362831113389124238399541394289800291086872328278844037704045428859394280336*t^35 - 12686477701187916753513766574344579586986843120957651435028266818121414351197903736417608598255/41851770357198228124096663018125015167828259632451719267446070265659882113941347270204366832*t^33 + 50178880460993168331676525028847129690176177908779795802474879389497108881907976942806820785/87711510765654143908841400897604997687619612045845816879060746862529590960590348427893494*t^31 - 2803823811706129806616380401522780584040361462660187545791805708406782708289544419430899428230/3580908053694910647714693967205871947190738541698525357525185482902916483928413944773074539*t^29 + 1625392153533765844526715361480222701343445380848631767626886196089167348461553277119290399300579/2023368741992132990334789686861196166334384264691914588973796110252447940223202940272646813428*t^27 - 57534418523565508818046467658001933901792280080145747891097681030182493963100633166878214664361455/91351351721792967230300319566066597287467200691090514220705831792508668116003125340457646872916*t^25 + 12871052061373662114264982019592323176641981143752872850362991980682762656285003774399741751702525/33760282158053922672067509404850698997542226342359537864173894358101029521131589799734347757382*t^23 - 1774914873048668677613778646382805847355263972937617267905900162443757469318963606647723816076135475/9925522954467853265587847765026105505277414544653704132067124941281702679212687401121898240670308*t^21 + 3226805290672657240588117340874049078449167491369112584607504139807730923914604487497023271451325/49751994759237359727257382280832609049009596715056161062993107475096254031141290231187459852984*t^19 - 14072216523408247780821087116051051653418693809807768630360065804193466754175806303865862050690465/779447917894718635727032322399710875101150348535879856653558683776507979821213546955270204363416*t^17 + 5628048928691849322625633859520723955782432142226912071001963770896197283570529925503628364619975/1478658550123804470717458376317098571883064631781301492769251032458375432307890405253380240630598*t^15 - 18052162272965958002698744569536742510804966175762760953682878660390358624446430877965706282769525/30312500277537991649707896714500520723602824951516680601769646165396696362311753307694294932927259*t^13 + 8141801203668925503660571057833352841355667452775410302746748095419048079908705129005432518866725/121250001110151966598831586858002082894411299806066722407078584661586785449247013230777179731709036*t^11 - 5704699813997511463527627703720864614681536199862084113871198033288015987971557691151125410466625/1091250009991367699389484281722018746049701698254600501663707261954281069043223119076994617585381324*t^9 + 3289400965953311703505810426923253849160034835050204441151529146517427710399497779872257965190/12481617761339173032232663353029626180307045568271574365434560185751580855069545479638827325322989*t^7 - 99034931604417324901309289863178690954412830815451760515861968637253304852743594903647500375/12763158011594943852508588090316008725727505242743865516534587859114398468341790866397597866495688*t^5 + 712160582984625361289436190251915662357262679474503571826066525762926621961047806252796545425/6443571487568075939252192901596682119531571932550974390776176213444326312445698417407015837170823056*t^3 - 7342950638357166201696245276812419368672700060106002045029861166273625656139670881159656325/15035000137658843858255116770392258278907001175952273578477744498036761395706629640616370286731920464*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:
| (0.96375229857121199904 - 4.400801369084060487e-936j)  +/-  (7.55e-242, 7.55e-242j)
| (0.99304762120002015918 - 4.2090081528252860613e-935j)  +/-  (1.01e-241, 1.01e-241j)
| (-0.93829919215080213815 + 4.9731173343220382274e-935j)  +/-  (3.81e-242, 3.81e-242j)
| (0.98189373966174310941 + 3.6273998640715666181e-947j)  +/-  (9.9e-242, 9.9e-242j)
| (0.90591989788431806766 - 1.3207251884886183191e-947j)  +/-  (1.75e-242, 1.75e-242j)
| (0.82336249839555119204 + 2.70773093772713161e-949j)  +/-  (2.14e-243, 2.14e-243j)
| (-0.99867860805739849386 + 1.132296228646700733e-944j)  +/-  (4.42e-242, 4.42e-242j)
| (-0.90591989788431806766 - 7.1089387324717556454e-969j)  +/-  (1.71e-242, 1.71e-242j)
| (-0.98189373966174310941 + 5.5322638798229707911e-990j)  +/-  (1.09e-241, 1.09e-241j)
| (0.99867860805739849386 - 4.4897991017119601572e-1012j)  +/-  (4.43e-242, 4.43e-242j)
| (0.86732662484779688767 - 2.3040972249103188982e-1016j)  +/-  (6.64e-243, 6.64e-243j)
| (-0.96375229857121199904 + 1.0370672406236291441e-1013j)  +/-  (7.33e-242, 7.33e-242j)
| (-0.86732662484779688767 - 3.1742697807429439625e-1023j)  +/-  (6.58e-243, 6.58e-243j)
| (-0.82336249839555119204 - 2.5499219101668819187e-1032j)  +/-  (2.08e-243, 2.08e-243j)
| (-0.99304762120002015918 + 6.0012846581433228541e-1046j)  +/-  (1.04e-241, 1.04e-241j)
| (0.77459666924148337704 + 2.9037924310473984893e-1057j)  +/-  (5.59e-244, 5.59e-244j)
| (0.93829919215080213815 + 3.5730420294702794705e-1059j)  +/-  (3.87e-242, 3.87e-242j)
| (-0.32118908219889955262 + 3.8616999332826922054e-1067j)  +/-  (2.91e-250, 2.91e-250j)
| (-0.77459666924148337704 - 2.8272326126190445008e-1060j)  +/-  (5.68e-244, 5.68e-244j)
| (-0.7208837691772378803 + 8.3689620429337867426e-1063j)  +/-  (1.15e-244, 1.15e-244j)
| (0.25033726097206800803 + 2.034240455286232083e-1070j)  +/-  (1.6e-251, 1.6e-251j)
| (0.7208837691772378803 - 2.6468341004325481461e-1064j)  +/-  (1.23e-244, 1.23e-244j)
| (0.17101852249474448773 - 7.3239089998163312622e-1074j)  +/-  (6.59e-253, 6.59e-253j)
| (-0.59706738604131558719 + 7.8402296791221693502e-1066j)  +/-  (2.38e-246, 2.38e-246j)
| (-0.52800882982846544973 - 1.7281273987664333383e-1068j)  +/-  (2.63e-247, 2.63e-247j)
| (-0.086566243049470393435 + 1.719381444407650009e-1074j)  +/-  (3.57e-254, 3.57e-254j)
| (0.66169949263036031332 + 1.2103392300560657201e-1067j)  +/-  (1.91e-245, 1.91e-245j)
| (0.32118908219889955262 - 2.9182944703799755563e-1071j)  +/-  (2.83e-250, 2.83e-250j)
| (-0.17101852249474448773 + 1.841425599492244164e-1073j)  +/-  (8.5e-253, 8.5e-253j)
| (-0.66169949263036031332 - 3.2823177247813821928e-1069j)  +/-  (1.82e-245, 1.82e-245j)
| (-0.25033726097206800803 - 4.6862564974720620587e-1075j)  +/-  (1.76e-251, 1.76e-251j)
| (0.38736385932378655649 + 5.1232499523587204358e-1072j)  +/-  (3.11e-249, 3.11e-249j)
| (0.59706738604131558719 - 2.6405938930671636679e-1070j)  +/-  (2.48e-246, 2.48e-246j)
| (-1.1492877180747039015e-1087 - 2.6994783797581731363e-1089j)  +/-  (4.48e-1086, 4.48e-1086j)
| (-0.45679321179984000061 + 4.2482977594166555935e-1074j)  +/-  (2.92e-248, 2.92e-248j)
| (-0.38736385932378655649 - 2.6842597090056112735e-1073j)  +/-  (3.32e-249, 3.32e-249j)
| (0.086566243049470393435 - 4.8053628787596100889e-1078j)  +/-  (3.57e-254, 3.57e-254j)
| (0.52800882982846544973 + 1.6718736496756730233e-1072j)  +/-  (2.72e-247, 2.72e-247j)
| (0.45679321179984000061 - 1.4475948044113737505e-1074j)  +/-  (2.96e-248, 2.96e-248j)
-------------------------------------------------
The weights are:
| (0.021823435693470710474 + 1.7259952616578922738e-935j)  +/-  (2.01e-75, 5.08e-192j)
| (0.0080889452218144191237 + 6.8058463759954508722e-936j)  +/-  (7.32e-76, 1.84e-192j)
| (0.029013522492023410914 - 1.4746730866228397654e-936j)  +/-  (2.04e-77, 5.13e-194j)
| (0.014497483784523056894 - 3.7432142491436974597e-935j)  +/-  (1.02e-75, 2.57e-192j)
| (0.03562415192215433077 + 8.6868889017743597389e-936j)  +/-  (7.29e-77, 1.84e-193j)
| (0.046408024535635607134 + 5.0703711162211183496e-936j)  +/-  (7.09e-78, 1.79e-194j)
| (0.0033638987648373596611 - 5.0201922127506387505e-936j)  +/-  (3.24e-78, 8.16e-195j)
| (0.03562415192215433077 - 4.9507967714258179457e-935j)  +/-  (4.73e-78, 1.19e-194j)
| (0.014497483784523056894 - 2.7220963051983728953e-935j)  +/-  (3.12e-78, 7.86e-195j)
| (0.0033638987648373596611 + 2.2320035968220974927e-935j)  +/-  (1.32e-76, 3.32e-193j)
| (0.04141504755300938605 - 6.389218194259464197e-936j)  +/-  (1.45e-77, 3.65e-194j)
| (0.021823435693470710474 + 5.224672083350234647e-935j)  +/-  (2.45e-78, 6.17e-195j)
| (0.04141504755300938605 + 2.5768806780391553577e-935j)  +/-  (9.53e-80, 2.4e-196j)
| (0.046408024535635607134 - 1.8256995457156856351e-935j)  +/-  (1.42e-80, 3.57e-197j)
| (0.0080889452218144191237 + 1.5517811564011120939e-935j)  +/-  (1.15e-78, 2.89e-195j)
| (0.051153668076297212724 - 4.0818768225054958091e-936j)  +/-  (1.73e-81, 4.37e-198j)
| (0.029013522492023410914 - 1.4051855332759210512e-935j)  +/-  (1.99e-79, 5.02e-196j)
| (0.066868108968248686495 - 7.6962189141794685617e-936j)  +/-  (2.09e-84, 5.26e-201j)
| (0.051153668076297212724 + 1.4360793539830748133e-935j)  +/-  (3.43e-82, 8.65e-199j)
| (0.05637934702210069885 - 1.1654846955463554107e-935j)  +/-  (4.75e-83, 1.2e-199j)
| (0.075425207461675871559 + 1.0039783532547895959e-936j)  +/-  (1.41e-86, 3.56e-203j)
| (0.05637934702210069885 + 3.2066574945312972059e-936j)  +/-  (4.94e-85, 1.24e-201j)
| (0.082507702795443379948 - 1.3005029019370829442e-936j)  +/-  (1.08e-86, 2.72e-203j)
| (0.067104387432734046401 - 8.4047078394826161749e-936j)  +/-  (8.51e-86, 2.14e-202j)
| (0.070648986453011913131 + 7.9293002225844069758e-936j)  +/-  (2.45e-86, 6.18e-203j)
| (0.08590554850508040981 + 2.5450523523461389994e-936j)  +/-  (3.52e-88, 8.87e-205j)
| (0.061991183484075968989 - 2.4435065970887016133e-936j)  +/-  (1.5e-87, 3.77e-204j)
| (0.066868108968248686495 - 4.6924893175398928644e-937j)  +/-  (2.42e-88, 6.1e-205j)
| (0.082507702795443379948 - 3.6666449387352862979e-936j)  +/-  (2.03e-88, 5.11e-205j)
| (0.061991183484075968989 + 9.6611187045809918779e-936j)  +/-  (2.01e-87, 5.07e-204j)
| (0.075425207461675871559 + 5.5590880942111038665e-936j)  +/-  (2.1e-88, 5.29e-205j)
| (0.067244471959443786073 - 2.4613308180615499273e-937j)  +/-  (1.44e-89, 3.63e-206j)
| (0.067104387432734046401 + 1.8298252107057742396e-936j)  +/-  (1.18e-89, 2.99e-206j)
| (0.08688977029913479832 - 1.919609661904891512e-936j)  +/-  (1.22e-89, 3.08e-206j)
| (0.071091992724852345841 - 8.1832949462117736124e-936j)  +/-  (2.07e-89, 5.21e-206j)
| (0.067244471959443786073 + 8.5708541834530886352e-936j)  +/-  (1.64e-89, 4.13e-206j)
| (0.08590554850508040981 + 1.553869591604570818e-936j)  +/-  (3.42e-90, 8.61e-207j)
| (0.070648986453011913131 - 1.3377272016072065372e-936j)  +/-  (2.77e-91, 7.02e-208j)
| (0.071091992724852345841 + 8.6135443010535607222e-937j)  +/-  (3.54e-91, 8.87e-208j)
