Starting with polynomial:
P : 2*t
Extension levels are: 1 2 6 24
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Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P3 : 2*t^9 - 117/4*t^7 + 945/8*t^5 - 2205/16*t^3 + 945/32*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^33 - 243940980213971515758845067/583136734238195996993980*t^31 + 844469415554230186722150320049/22159195901051447885771240*t^29 - 17705815728557592063144436202015/8863678360420579154308496*t^27 + 1189008071840040006487669224341067/17727356720841158308616992*t^25 - 53908760043517619773098799116865065/35454713441682316617233984*t^23 + 1695359351418048547472692485385337745/70909426883364633234467968*t^21 - 1969695233123462608562267653961195265/7464150198248908761522944*t^19 + 30549610765405777317742318843333941525/14928300396497817523045888*t^17 - 330047594045449206952618024237711122525/29856600792995635046091776*t^15 + 2437149593165955203817741483210756509325/59713201585991270092183552*t^13 - 150824720942474203427448644807005422225/1511726622430158736510976*t^11 + 36705782824710953131545638183054577510075/238852806343965080368734208*t^9 - 66134234760488153521460100553663502114625/477705612687930160737468416*t^7 + 62533314255554403852176814422191394021625/955411225375860321474936832*t^5 - 338726470968762138828695951585549911125/24187625958882539784175616*t^3 + 3983890012170935838727227099340744906875/3821644901503441285899747328*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:
| (4.848988972613464028 - 6.3454443791949199571e-472j)  +/-  (2.25e-120, 2.25e-120j)
| (-6.7335549105641932502 - 7.4353133768676958088e-477j)  +/-  (7.02e-122, 7.02e-122j)
| (-4.848988972613464028 + 2.0107589079432593104e-475j)  +/-  (2.24e-120, 2.24e-120j)
| (-4.3406126076143357547 + 4.8437257140747211767e-478j)  +/-  (3.19e-120, 3.19e-120j)
| (5.3961532286066677345 - 5.2750837074010773127e-480j)  +/-  (1.39e-120, 1.39e-120j)
| (-3.3998220836348869732 - 4.2591465612254188004e-481j)  +/-  (2.2e-120, 2.2e-120j)
| (-2.9592107790638377223 + 1.6429160895205111072e-482j)  +/-  (1.25e-120, 1.25e-120j)
| (6.0045998804986600715 + 3.0521925252200982102e-485j)  +/-  (4.97e-121, 4.97e-121j)
| (-6.0045998804986600715 + 2.3924849997161560192e-485j)  +/-  (4.07e-121, 4.07e-121j)
| (2.9592107790638377223 + 7.2271972381437923523e-483j)  +/-  (1.24e-120, 1.24e-120j)
| (1.2247448713915890491 - 7.4287319049254330081e-489j)  +/-  (1.26e-123, 1.26e-123j)
| (0.81784265210787922472 + 1.1869222199733959223e-490j)  +/-  (1.24e-124, 1.24e-124j)
| (-1.2179128882613565002e-492 - 3.5075188028953149316e-491j)  +/-  (1.16e-489, 1.16e-489j)
| (-2.2833403693622945843 + 1.0088910463531209706e-487j)  +/-  (5.33e-121, 5.33e-121j)
| (2.5508337609312682057 - 8.4991526718762269634e-488j)  +/-  (9.67e-121, 9.67e-121j)
| (0.40103385448943630946 + 4.0090456579327628156e-494j)  +/-  (1.25e-125, 1.25e-125j)
| (-2.0232301911005156592 + 2.1776008372260720319e-491j)  +/-  (1.31e-121, 1.31e-121j)
| (-0.81784265210787922472 - 2.3639492348236011316e-496j)  +/-  (1.39e-124, 1.39e-124j)
| (4.3406126076143357547 + 2.5724340166804922491e-490j)  +/-  (3.13e-120, 3.13e-120j)
| (3.3998220836348869732 + 6.7557969791139049292e-501j)  +/-  (2.2e-120, 2.2e-120j)
| (2.0232301911005156592 + 1.7374430027663451917e-504j)  +/-  (1.42e-121, 1.42e-121j)
| (-0.40103385448943630946 + 1.1468555457339127094e-508j)  +/-  (1.15e-125, 1.15e-125j)
| (-2.5508337609312682057 + 1.3740537610467186024e-502j)  +/-  (9.55e-121, 9.55e-121j)
| (-5.3961532286066677345 + 3.1507687313007220232e-504j)  +/-  (1.41e-120, 1.41e-120j)
| (-1.2247448713915890491 + 7.2388159446076173489e-508j)  +/-  (1.27e-123, 1.27e-123j)
| (2.2833403693622945843 + 3.6631957118903076931e-507j)  +/-  (6.05e-121, 6.05e-121j)
| (1.6321716520540069475 + 5.6124110202883783223e-509j)  +/-  (1.28e-122, 1.28e-122j)
| (3.859641678951973708 - 1.0740483969236302059e-513j)  +/-  (2.77e-120, 2.77e-120j)
| (-1.6321716520540069475 + 2.2406728423508664211e-519j)  +/-  (1.34e-122, 1.34e-122j)
| (-0.52403354748695764515 + 1.5932758013131433244e-523j)  +/-  (4.29e-125, 4.29e-125j)
| (6.7335549105641932502 + 5.5560091450669892061e-526j)  +/-  (6.43e-122, 6.43e-122j)
| (-3.859641678951973708 + 1.2378747803389410769e-533j)  +/-  (3.01e-120, 3.01e-120j)
| (0.52403354748695764515 - 1.9898817806426933207e-544j)  +/-  (3.57e-125, 3.57e-125j)
-------------------------------------------------
The weights are:
| (1.8212784531693702599e-11 + 6.6964656824808275752e-482j)  +/-  (1.37e-42, 1.44e-101j)
| (9.6328852629194814307e-21 - 5.395165210486542846e-489j)  +/-  (2.01e-47, 2.11e-106j)
| (1.8212784531693702599e-11 + 1.2129963058290738285e-483j)  +/-  (3.63e-43, 3.82e-102j)
| (1.8282111744438432832e-09 - 2.1264873778269950731e-482j)  +/-  (6.84e-42, 7.19e-101j)
| (7.2983652151488292773e-14 + 8.2524789814043214417e-484j)  +/-  (4e-46, 4.21e-105j)
| (2.4270274772263662169e-06 - 3.0145545586132382233e-480j)  +/-  (1.05e-39, 1.11e-98j)
| (3.8148953455181020989e-05 + 2.9537811751794488586e-479j)  +/-  (1.92e-38, 2.02e-97j)
| (8.0818780273066137585e-17 - 8.1287213729860533612e-486j)  +/-  (2.32e-48, 2.44e-107j)
| (8.0818780273066137585e-17 + 8.6296532272036495264e-487j)  +/-  (4.86e-47, 5.1e-106j)
| (3.8148953455181020989e-05 + 1.2189720519122933121e-478j)  +/-  (3.35e-41, 3.52e-100j)
| (0.05137633310559006877 - 1.5664051988133498996e-476j)  +/-  (3.98e-33, 4.18e-92j)
| (0.11685871750904501846 + 5.3485931014109409922e-476j)  +/-  (7.56e-33, 7.95e-92j)
| (0.22816681834425907359 - 8.0578768941483873065e-476j)  +/-  (2.54e-33, 2.67e-92j)
| (0.00055959871862171982658 + 1.096675382725838632e-477j)  +/-  (4.72e-38, 4.96e-97j)
| (0.00031245253349582997552 - 9.461457338962337198e-478j)  +/-  (4e-40, 4.2e-99j)
| (0.18483268648043250238 + 1.9695700236900322651e-475j)  +/-  (1.02e-33, 1.07e-92j)
| (0.003382766688808438224 - 1.9770935712463415492e-477j)  +/-  (1.49e-37, 1.57e-96j)
| (0.11685871750904501846 + 3.8055876938392701556e-476j)  +/-  (2.05e-35, 2.15e-94j)
| (1.8282111744438432832e-09 - 3.8229590730374492147e-481j)  +/-  (2.05e-45, 2.16e-104j)
| (2.4270274772263662169e-06 - 1.712986179293691552e-479j)  +/-  (3.48e-43, 3.65e-102j)
| (0.003382766688808438224 - 4.8052507583712147853e-477j)  +/-  (1.09e-39, 1.15e-98j)
| (0.18483268648043250238 + 1.6688437931446880114e-475j)  +/-  (1.79e-36, 1.87e-95j)
| (0.00031245253349582997552 - 2.941093933572350482e-478j)  +/-  (9.28e-41, 9.71e-100j)
| (7.2983652151488292773e-14 - 4.3815334713737360524e-485j)  +/-  (3.29e-48, 3.45e-107j)
| (0.05137633310559006877 - 9.350002627260032925e-477j)  +/-  (3.05e-38, 3.21e-97j)
| (0.00055959871862171982658 + 3.0463890959024800755e-477j)  +/-  (9.12e-41, 9.6e-100j)
| (0.015922133470813627733 + 7.2453891051210313651e-477j)  +/-  (6.75e-40, 7.1e-99j)
| (8.9868125102298588126e-08 + 2.4550760631816453732e-480j)  +/-  (3.22e-45, 3.39e-104j)
| (0.015922133470813627733 + 3.5978297311719157175e-477j)  +/-  (7.68e-41, 7.99e-100j)
| (0.012631234625508724693 - 1.5917133226846418062e-475j)  +/-  (4.31e-39, 4.81e-98j)
| (9.6328852629194814307e-21 + 3.322097482585508101e-488j)  +/-  (3.11e-53, 3.29e-112j)
| (8.9868125102298588126e-08 + 2.7965466597752161819e-481j)  +/-  (1.59e-45, 1.57e-104j)
| (0.012631234625508724693 - 1.9771640839107010885e-475j)  +/-  (2.63e-39, 3e-98j)
