Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 8 22
-------------------------------------------------
Trying to find an order 8 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^11 - 10483/1482*t^9 + 1617/221*t^7 - 69993/20995*t^5 + 68299/109174*t^3 - 3633/109174*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^33 - 182965547209137176300327950593642097998615541222262083/8620465810351367062145292588452733708607054580974632*t^31 + 70714218920211856961976719956759078141982397684969369398029/862141406159050571252212857063746350931500135697853920952*t^29 - 2469274514440322754441274062059002441488651656018888608932667/12932121092385758568783192855956195263972502035467808814280*t^27 + 309792579748697872937297976935186893173519174089252424443009597/1037347698588484292898912558793701026026357218830228901109912*t^25 - 95595999451712089874755822003096504244322713814850703209400535/288493146944726400983721244161561823806146682159886144095656*t^23 + 509983465476805013600927820996142991463351232211164878679451645/1899558772739951757126580140128725255450861920195613961772696*t^21 - 101262051764717097136501133402319500677142376297468091651385/628784764230371319803568401234268538712632214563261821176*t^19 + 140641155195419195601982971045041520177752253703093010975689/1960328970835863526446419133259778385398206315991345677784*t^17 - 1803864125506568236519926809587706555291603375416599327519985/76452829862598677531410346197131357030530046323662481433576*t^15 + 12829017762563360176282180535653937519579534563749179094020355/2274096919638474388532343042765652325790472162215607535975192*t^13 - 2564876503379606640940734717758422058102109845211894195021826465/2685358601028478487566153696115040681016118320167060868058090184*t^11 + 9735650742577295446604888059149359101043623589527025213518588885/88616833833939790089683071971796342473531904565513008645916976072*t^9 - 11317569499066126197524488992538708607067885321481469794207823/1406616410062536350629890031298354642437014358182746168982809144*t^7 + 67787595953615616554177240805134776476734469390308838160245/200945201437505192947127147328336377491002051168963738426115592*t^5 - 28127616753845215740816431958415541582644232215454534333345/4219849230187609051889670093895063927311043074548238506948427432*t^3 + 55451207415377429119731216936389113652302151072096295475/1406616410062536350629890031298354642437014358182746168982809144*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:
| (0.99079325588510780584 - 2.0204089996841045608e-439j)  +/-  (6.76e-116, 6.76e-116j)
| (2.8157005230007037693e-463 + 3.8446244995339389352e-462j)  +/-  (1.27e-460, 1.27e-460j)
| (-0.9225217132136291628 - 8.0017217016218732916e-447j)  +/-  (2.21e-116, 2.21e-116j)
| (-0.97667972251506854616 + 3.0851509946988166061e-446j)  +/-  (7.59e-116, 7.59e-116j)
| (0.9225217132136291628 + 6.1044359083897873053e-446j)  +/-  (2.16e-116, 2.16e-116j)
| (0.95417744289591430055 - 9.7866845311347802066e-456j)  +/-  (4.71e-116, 4.71e-116j)
| (-0.99823057474573572479 - 3.489098650000830691e-462j)  +/-  (3.05e-116, 3.05e-116j)
| (-0.88177827725295929029 + 2.6317607698380486082e-466j)  +/-  (7.91e-117, 7.91e-117j)
| (-0.99079325588510780584 + 1.7893525176353769465e-465j)  +/-  (7.87e-116, 7.87e-116j)
| (0.99823057474573572479 - 6.8617982039159181437e-466j)  +/-  (2.85e-116, 2.85e-116j)
| (0.88177827725295929029 - 5.0614408452089376081e-480j)  +/-  (7.9e-117, 7.9e-117j)
| (0.97667972251506854616 - 3.1570126439312944263e-489j)  +/-  (7.79e-116, 7.79e-116j)
| (-0.95417744289591430055 + 4.5094387346606432958e-498j)  +/-  (4.74e-116, 4.74e-116j)
| (-0.83230817570307920397 + 1.0623709362397762889e-498j)  +/-  (2.07e-117, 2.07e-117j)
| (-0.098634553014592439996 + 7.5876094559679936686e-510j)  +/-  (9.96e-127, 9.96e-127j)
| (0.83230817570307920397 + 2.4473580990060758518e-499j)  +/-  (2.11e-117, 2.11e-117j)
| (0.77459666924148337704 - 6.1655891431898660455e-501j)  +/-  (4.51e-118, 4.51e-118j)
| (-0.38480726695303768366 + 5.1010970061298877005e-508j)  +/-  (6.63e-123, 6.63e-123j)
| (-0.77459666924148337704 - 4.3705488837510196657e-503j)  +/-  (4.49e-118, 4.49e-118j)
| (-0.70921295863303400043 - 1.6390706650288406163e-505j)  +/-  (7.51e-119, 7.51e-119j)
| (0.47379132949741309452 - 2.5586411331134889684e-506j)  +/-  (1.03e-121, 1.03e-121j)
| (0.70921295863303400043 + 3.4062404698152662857e-506j)  +/-  (7.99e-119, 7.99e-119j)
| (0.19629087859904982233 - 4.6624817895869520091e-514j)  +/-  (2.03e-125, 2.03e-125j)
| (-0.55806685067819680295 + 8.0399518541908705559e-507j)  +/-  (1.03e-120, 1.03e-120j)
| (-0.47379132949741309452 - 9.5972291013376411212e-509j)  +/-  (8.91e-122, 8.91e-122j)
| (0.098634553014592439996 + 2.9461551203609566125e-516j)  +/-  (9.96e-127, 9.96e-127j)
| (0.6367993325216061138 - 4.1795812619374996302e-507j)  +/-  (1.05e-119, 1.05e-119j)
| (0.38480726695303768366 - 4.4828247837333290953e-513j)  +/-  (6.17e-123, 6.17e-123j)
| (-0.19629087859904982233 - 3.0210083910501843141e-514j)  +/-  (1.79e-125, 1.79e-125j)
| (-0.6367993325216061138 - 3.16856322341268475e-509j)  +/-  (1.02e-119, 1.02e-119j)
| (-0.2919991541426287378 - 9.2025493644102069147e-514j)  +/-  (4.39e-124, 4.39e-124j)
| (0.2919991541426287378 - 5.1049414208045036649e-513j)  +/-  (4.03e-124, 4.03e-124j)
| (0.55806685067819680295 + 7.220796892820423496e-512j)  +/-  (1.14e-120, 1.14e-120j)
-------------------------------------------------
The weights are:
| (0.010490948785542158925 + 5.4164210470147218772e-440j)  +/-  (1.55e-22, 1.42e-77j)
| (0.098797863580324835546 - 2.1968403900129315183e-441j)  +/-  (9.46e-23, 8.66e-78j)
| (0.036245001629612782932 - 1.6107696319873390026e-441j)  +/-  (2.52e-23, 2.31e-78j)
| (0.018072520378035350695 - 1.5149136649165810149e-441j)  +/-  (1.93e-23, 1.77e-78j)
| (0.036245001629612782932 - 4.5142229398875744267e-440j)  +/-  (5.47e-24, 5e-79j)
| (0.027046579104794028016 + 8.6755468657720921026e-440j)  +/-  (6.69e-24, 6.12e-79j)
| (0.0045050330625517192339 - 3.7011678282944921127e-442j)  +/-  (1.22e-24, 1.11e-79j)
| (0.045179574878202651175 + 1.5615251565409552367e-441j)  +/-  (3.32e-25, 3.04e-80j)
| (0.010490948785542158925 + 1.0696743135626471712e-441j)  +/-  (1.78e-24, 1.63e-79j)
| (0.0045050330625517192339 + 9.8981868312474681929e-440j)  +/-  (2.79e-25, 2.55e-80j)
| (0.045179574878202651175 + 2.6822636322927808304e-440j)  +/-  (2.21e-26, 2.02e-81j)
| (0.018072520378035350695 - 2.111841474476495363e-439j)  +/-  (4.8e-25, 4.4e-80j)
| (0.027046579104794028016 + 1.6332160145480989879e-441j)  +/-  (1.19e-25, 1.09e-80j)
| (0.053679250801941000737 - 1.5204892273818569423e-441j)  +/-  (2.36e-27, 2.16e-82j)
| (0.098308066867062310182 + 2.0023184832936834433e-441j)  +/-  (7.4e-30, 6.78e-85j)
| (0.053679250801941000737 - 1.749066074421815567e-440j)  +/-  (9.07e-28, 8.31e-83j)
| (0.061648751540830203116 + 1.2213685683619072069e-440j)  +/-  (1.52e-28, 1.39e-83j)
| (0.091047158990157398126 - 1.6400416222296038568e-441j)  +/-  (1.92e-30, 1.76e-85j)
| (0.061648751540830203116 + 1.4957347374261412593e-441j)  +/-  (3.16e-29, 2.9e-84j)
| (0.069011561505773221929 - 1.4884074981891205848e-441j)  +/-  (4.25e-30, 3.89e-85j)
| (0.086773370816865979262 + 4.4554218722968085121e-441j)  +/-  (8.71e-32, 7.98e-87j)
| (0.069011561505773221929 - 8.9860817663900896168e-441j)  +/-  (9.58e-31, 8.77e-86j)
| (0.096842792972321925663 - 2.7638025764370018163e-441j)  +/-  (6.68e-32, 6.12e-87j)
| (0.081638441802701836905 - 1.5262319297064083381e-441j)  +/-  (1.9e-31, 1.74e-86j)
| (0.086773370816865979262 + 1.5727743340850330539e-441j)  +/-  (1.37e-31, 1.25e-86j)
| (0.098308066867062310182 + 2.4450599783144545529e-441j)  +/-  (1.94e-32, 1.78e-87j)
| (0.075697119061681828857 + 6.8896529828677585983e-441j)  +/-  (1.07e-32, 9.77e-88j)
| (0.091047158990157398126 - 3.7229286214350133483e-441j)  +/-  (2.89e-33, 2.65e-88j)
| (0.096842792972321925663 - 1.8497825435932058501e-441j)  +/-  (2.52e-33, 2.3e-88j)
| (0.075697119061681828857 + 1.4984672062692077525e-441j)  +/-  (4.46e-33, 4.08e-88j)
| (0.094414896011763186474 + 1.730980620808818874e-441j)  +/-  (1.83e-33, 1.67e-88j)
| (0.094414896011763186474 + 3.1776014197790910281e-441j)  +/-  (3.17e-34, 2.94e-89j)
| (0.081638441802701836905 - 5.4628527208303632321e-441j)  +/-  (2.79e-34, 2.49e-89j)
