Starting with polynomial:
P : t
Extension levels are: 1 2 22
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 22 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^25 - 4304920607/685653390*t^23 + 535516272071/30854402550*t^21 - 57135203279/2056960170*t^19 + 34407359525693/1208806926570*t^17 - 11213406733991/574920367515*t^15 + 2634095698720717/290718065840085*t^13 - 316692035130031/111814640707725*t^11 + 38855217475558/67088784424635*t^9 - 33887938275433/462167181591930*t^7 + 7220648427839/1386501544775790*t^5 - 186639634254031/1085630709559443570*t^3 + 491711610341/291836212247162250*t
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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:
| (1.9841335115612553274e-447 + 1.5969621053979372623e-447j)  +/-  (6.37e-446, 6.37e-446j)
| (-0.59246139122526384697 - 6.9876218847334492925e-449j)  +/-  (3.96e-122, 3.96e-122j)
| (-0.90645424894012878232 - 5.5377269034965027622e-445j)  +/-  (1.26e-119, 1.26e-119j)
| (0.99647879710407177562 - 6.2535971781963289314e-444j)  +/-  (8.59e-120, 8.59e-120j)
| (0.90645424894012878232 - 1.511093731799992566e-456j)  +/-  (1.15e-119, 1.15e-119j)
| (0.59246139122526384697 + 1.6594051180064173883e-466j)  +/-  (3.95e-122, 3.95e-122j)
| (0.12665534453285795461 - 1.7381882277094602356e-471j)  +/-  (9.44e-127, 9.44e-127j)
| (-0.84739759191912559703 - 3.3235676125059098269e-465j)  +/-  (4.92e-120, 4.92e-120j)
| (0.98078434497892796555 + 3.4356613488652346324e-463j)  +/-  (2.3e-119, 2.3e-119j)
| (-0.99647879710407177562 - 1.4777199892823771317e-473j)  +/-  (8.39e-120, 8.39e-120j)
| (0.84739759191912559703 - 2.2582634493500298574e-475j)  +/-  (5.08e-120, 5.08e-120j)
| (0.48605921442306279178 + 1.0987651789556171364e-484j)  +/-  (3.91e-123, 3.91e-123j)
| (-0.95099486987601353325 + 6.9678716361297413241e-480j)  +/-  (2.18e-119, 2.18e-119j)
| (-0.68916325145886514336 - 3.8502712283472668647e-485j)  +/-  (2.67e-121, 2.67e-121j)
| (-0.98078434497892796555 - 1.9434213883374594589e-483j)  +/-  (2.48e-119, 2.48e-119j)
| (0.68916325145886514336 - 5.193938059013279098e-483j)  +/-  (3.05e-121, 3.05e-121j)
| (0.95099486987601353325 - 3.6500972512722657531e-490j)  +/-  (2.11e-119, 2.11e-119j)
| (-0.12665534453285795461 - 1.8618166479498371985e-504j)  +/-  (9.44e-127, 9.44e-127j)
| (-0.77459666924148337704 - 8.6657912980372003367e-503j)  +/-  (1.38e-120, 1.38e-120j)
| (-0.25123376103877391821 + 3.9843871205893710479e-507j)  +/-  (1.86e-125, 1.86e-125j)
| (0.37169290708053307091 - 2.2691082012604821647e-504j)  +/-  (3.11e-124, 3.11e-124j)
| (0.77459666924148337704 - 1.2347774412826912951e-506j)  +/-  (1.39e-120, 1.39e-120j)
| (0.25123376103877391821 - 1.3049974821310259491e-513j)  +/-  (1.89e-125, 1.89e-125j)
| (-0.37169290708053307091 - 7.7170960790906799815e-516j)  +/-  (3.04e-124, 3.04e-124j)
| (-0.48605921442306279178 + 7.9614395791091465541e-515j)  +/-  (4.03e-123, 4.03e-123j)
-------------------------------------------------
The weights are:
| (0.12700265503823524958 + 7.2757635281434313917e-445j)  +/-  (5.1e-38, 1.37e-95j)
| (0.1018284941613619432 - 5.1355547810694976506e-445j)  +/-  (2.92e-38, 7.85e-96j)
| (0.051891919253918168657 - 2.3762109044773103477e-445j)  +/-  (9.97e-39, 2.68e-96j)
| (0.0091295642656108731872 + 7.3262912694424442112e-444j)  +/-  (3.09e-39, 8.31e-97j)
| (0.051891919253918168657 - 4.1988147997790720133e-444j)  +/-  (1.77e-39, 4.75e-97j)
| (0.1018284941613619432 - 1.4882041665316840345e-444j)  +/-  (1.09e-39, 2.94e-97j)
| (0.12596130194715576306 - 8.1622623886923359382e-445j)  +/-  (2.88e-39, 7.74e-97j)
| (0.06608979026928525291 + 8.2173925611082705563e-445j)  +/-  (1.33e-39, 3.57e-97j)
| (0.022540609459500267004 - 1.1171250187362607218e-443j)  +/-  (9.56e-40, 2.57e-97j)
| (0.0091295642656108731872 - 1.9768916490072803612e-446j)  +/-  (3.16e-41, 8.48e-99j)
| (0.06608979026928525291 + 3.0249056621964948333e-444j)  +/-  (2.8e-40, 7.53e-98j)
| (0.11068595156502984336 + 1.245968057336432232e-444j)  +/-  (2.78e-40, 7.47e-98j)
| (0.037143491958451723314 - 3.4389357730626532068e-445j)  +/-  (5.13e-41, 1.38e-98j)
| (0.091313289566979384026 + 5.2076058433224374106e-445j)  +/-  (7.84e-42, 2.11e-99j)
| (0.022540609459500267004 + 9.1334145760091686789e-446j)  +/-  (3.88e-41, 1.04e-98j)
| (0.091313289566979384026 + 1.8219271838161772478e-444j)  +/-  (3.02e-42, 8.12e-100j)
| (0.037143491958451723314 + 6.3114275702185622564e-444j)  +/-  (9.44e-42, 2.54e-99j)
| (0.12596130194715576306 - 6.5638363690446025147e-445j)  +/-  (5.09e-43, 1.37e-100j)
| (0.079325454484640242908 - 5.7760246488425691205e-445j)  +/-  (1.61e-42, 4.32e-100j)
| (0.1228545700928224902 + 6.018427792771481267e-445j)  +/-  (1.65e-43, 4.43e-101j)
| (0.11773423545612642338 - 1.064423313363881846e-444j)  +/-  (1.25e-43, 3.35e-101j)
| (0.079325454484640242908 - 2.3008035658778050408e-444j)  +/-  (1.78e-43, 4.78e-101j)
| (0.1228545700928224902 + 9.2497535446063817972e-445j)  +/-  (8.49e-44, 2.28e-101j)
| (0.11773423545612642338 - 5.5932082178868039193e-445j)  +/-  (6.53e-45, 1.76e-102j)
| (0.11068595156502984336 + 5.2912004194729751644e-445j)  +/-  (5.67e-45, 1.52e-102j)
