Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 4 22
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Trying to find an order 4 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P2 : 5/2*t^7 - 77/18*t^5 + 3745/1782*t^3 - 155/594*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^29 - 743669323805712117007731327878993851/40447298096103332088703889100919674*t^27 + 1046521699784301611483166275920753859533268/17233764549138659684688908716175304238083*t^25 - 110664717568165749909700048133151577106772475/930623285653487622973201070673466428856482*t^23 + 2747084854810141283411788463274164152221975250/17893347719610239296257456949767104518467813*t^21 - 265056795145182933462025686099787279913766800/1928355769281303984308447741453597730060441*t^19 + 38706809713354030801169566531204646635001585/442927655689263100037234495235840374971866*t^17 - 184756818941865306873002442113148675307520395/4650740384737262550390962199976323937204593*t^15 + 1471675042226378965268664210019967970998288675/114718262823519142909643734266082657117713294*t^13 - 2316317979591846517471666712480217465869902375/803027839764634000367506139862578599823993058*t^11 + 524422897773363417790480402275496825177546375/1204541759646951000551259209793867899735989587*t^9 - 344423095571031379049676541627091048068861195/8297954344234551337130896778579978864847928266*t^7 + 4009859877375307622748440000949070455336385/1778133073764546715099477881124281185324556057*t^5 - 4349927535939151271426789802524855111909975/75443646129724339197792132956273073148770449847*t^3 + 717087770813170603392101032369283870075/1622444002789770735436389956048883293521945158*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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.99685672297465999108 + 1.339618568716458612e-432j)  +/-  (3.31e-118, 3.31e-118j)
| (-0.96049126870802028342 - 2.3855524345099038485e-447j)  +/-  (1.05e-117, 1.05e-117j)
| (-0.92826055731734907496 + 1.8656712448194282279e-455j)  +/-  (8.07e-118, 8.07e-118j)
| (6.4261607851141204636e-480 + 6.8665465873809906655e-481j)  +/-  (1.87e-478, 1.87e-478j)
| (0.88704611060711153723 - 7.9185302726735235252e-463j)  +/-  (4.15e-118, 4.15e-118j)
| (0.83605336860264937262 - 4.9765932914299160478e-464j)  +/-  (1.3e-118, 1.3e-118j)
| (0.96049126870802028342 + 8.5653505544576564023e-463j)  +/-  (1.01e-117, 1.01e-117j)
| (-0.88704611060711153723 - 3.1342334539042487636e-465j)  +/-  (3.8e-118, 3.8e-118j)
| (-0.98361965975013195204 + 6.2104767484510070047e-475j)  +/-  (9.61e-118, 9.61e-118j)
| (0.98361965975013195204 + 1.8290148737396615884e-481j)  +/-  (8.87e-118, 8.87e-118j)
| (0.92826055731734907496 - 5.7042865550673895621e-483j)  +/-  (7.38e-118, 7.38e-118j)
| (0.99685672297465999108 - 1.1328608113780122228e-485j)  +/-  (3.01e-118, 3.01e-118j)
| (-0.70280056519364656738 + 3.8976689375188837181e-486j)  +/-  (6.38e-120, 6.38e-120j)
| (-0.83605336860264937262 - 1.3867760510519112358e-486j)  +/-  (1.4e-118, 1.4e-118j)
| (-0.22325031359655868096 - 2.1271508973753327486e-498j)  +/-  (2.04e-125, 2.04e-125j)
| (0.77459666924148337704 - 2.0202055292039060955e-492j)  +/-  (3.48e-119, 3.48e-119j)
| (0.53148341425790366185 + 5.4143218527591362997e-496j)  +/-  (7.55e-122, 7.55e-122j)
| (-0.11239938358974068919 - 1.1335948470333779989e-499j)  +/-  (9.01e-127, 9.01e-127j)
| (-0.77459666924148337704 + 8.1285816977360501288e-495j)  +/-  (3.22e-119, 3.22e-119j)
| (-0.434243749346802558 - 1.1096800052028441854e-501j)  +/-  (6.97e-123, 6.97e-123j)
| (0.434243749346802558 + 1.24634387356526784e-500j)  +/-  (5.88e-123, 5.88e-123j)
| (0.70280056519364656738 - 5.6680089869338267044e-500j)  +/-  (6.21e-120, 6.21e-120j)
| (0.11239938358974068919 - 4.8175283987778891659e-509j)  +/-  (9.01e-127, 9.01e-127j)
| (-0.53148341425790366185 + 6.9952151174045899537e-502j)  +/-  (7.25e-122, 7.25e-122j)
| (-0.62141026677071998722 + 1.2887335605300252257e-502j)  +/-  (8.07e-121, 8.07e-121j)
| (0.22325031359655868096 - 3.4622196532197933052e-507j)  +/-  (2.03e-125, 2.03e-125j)
| (0.62141026677071998722 - 2.3147773676602313139e-504j)  +/-  (8.02e-121, 8.02e-121j)
| (0.33102621368690377904 + 1.1318050488321080748e-506j)  +/-  (3.6e-124, 3.6e-124j)
| (-0.33102621368690377904 - 9.3649340591457541706e-506j)  +/-  (3.51e-124, 3.51e-124j)
-------------------------------------------------
The weights are:
| (0.0080457053059094172549 + 1.7361143234258210814e-432j)  +/-  (9.82e-28, 1.37e-83j)
| (0.02778592508196835853 + 2.0229401023932873712e-432j)  +/-  (5.45e-28, 7.63e-84j)
| (0.036647890621287933087 - 1.5937117124794023193e-432j)  +/-  (3.07e-28, 4.3e-84j)
| (0.11265819231011003316 + 1.0237464971748131679e-433j)  +/-  (3.88e-29, 5.43e-85j)
| (0.045937368776453318654 + 7.1375214411366399762e-434j)  +/-  (8.97e-30, 1.26e-85j)
| (0.056174851343592831352 - 7.8535850630616924227e-434j)  +/-  (6.98e-30, 9.77e-86j)
| (0.02778592508196835853 + 3.7584086268938054925e-434j)  +/-  (1.44e-30, 2.01e-86j)
| (0.045937368776453318654 + 1.2245079576372235438e-432j)  +/-  (1.31e-29, 1.84e-85j)
| (0.018322413329196253131 - 2.8674741659814736834e-432j)  +/-  (6.02e-29, 8.43e-85j)
| (0.018322413329196253131 - 1.9165558933641693057e-434j)  +/-  (3.2e-31, 4.48e-87j)
| (0.036647890621287933087 - 5.6787455890817936893e-434j)  +/-  (3.25e-31, 4.55e-87j)
| (0.0080457053059094172549 + 5.4060809230710082306e-435j)  +/-  (1.12e-31, 1.57e-87j)
| (0.07675077998473403284 - 4.5706851592850875574e-433j)  +/-  (9.13e-34, 1.28e-89j)
| (0.056174851343592831352 - 8.9518750236047106487e-433j)  +/-  (1.07e-32, 1.49e-88j)
| (0.10956494028087319235 + 1.3520757320868186712e-433j)  +/-  (3.66e-35, 5.12e-91j)
| (0.066711770528311653631 + 8.001392002269179838e-434j)  +/-  (2.34e-34, 3.28e-90j)
| (0.093797582222480087741 - 7.7617049525512051094e-434j)  +/-  (9.73e-36, 1.36e-91j)
| (0.11188213336925912527 - 1.1609854997819650705e-433j)  +/-  (2.2e-35, 3.07e-91j)
| (0.066711770528311653631 + 6.3772561766258127376e-433j)  +/-  (1.86e-34, 2.61e-90j)
| (0.10045885562706650962 + 1.9996996290797054373e-433j)  +/-  (3.4e-36, 4.76e-92j)
| (0.10045885562706650962 + 7.8614812617177270354e-434j)  +/-  (7.36e-37, 1.03e-92j)
| (0.07675077998473403284 - 7.9077007213290667483e-434j)  +/-  (2.92e-36, 4.09e-92j)
| (0.11188213336925912527 - 9.2570339719109016627e-434j)  +/-  (5.16e-37, 7.23e-93j)
| (0.093797582222480087741 - 2.5490342892786649734e-433j)  +/-  (4.98e-37, 6.97e-93j)
| (0.085851391871002170182 + 3.3589522058871238914e-433j)  +/-  (7.98e-37, 1.12e-92j)
| (0.10956494028087319235 + 8.5728089499949137028e-434j)  +/-  (4.31e-38, 6.06e-94j)
| (0.085851391871002170182 + 7.7929458504072422982e-434j)  +/-  (4e-38, 5.66e-94j)
| (0.10573929550281009978 - 8.1216925507905914232e-434j)  +/-  (2.42e-38, 3.41e-94j)
| (0.10573929550281009978 - 1.6197300671221244729e-433j)  +/-  (2.03e-38, 2.63e-94j)
