Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 10 20
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Trying to find an order 10 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P2 : 4*t^12 - 8477/76*t^10 + 155745/152*t^8 - 563535/152*t^6 + 1500975/304*t^4 - 2132865/1216*t^2 + 110565/2432
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^32 - 5847620745189902742312521012110897533368147/7600471364861353424505389778075954003636*t^30 + 12644919256579524947979482260018581816939281405/197612255486395189037140134229974804094536*t^28 - 400081122936175138642196911504582436092164621435/131741503657596792691426756153316536063024*t^26 + 20387375050055854407467598019974488298066909893475/222947160035933033785491433490227984106656*t^24 - 1522385358845467078408382927315819048923215938295165/828089451562036982631825324392275369539008*t^22 + 41904237470502697430180905903826422602052206311645415/1656178903124073965263650648784550739078016*t^20 - 41952635304563581114980113016941223658050145132098825/174334621381481470027752699872057972534528*t^18 + 550422197946624621101871726504213339736118711393236575/348669242762962940055505399744115945069056*t^16 - 378563398035402929896354780909622864881328233518424125/53641421963532760008539292268325530010624*t^14 + 2254606905797397966628367821028430378115332231652685775/107282843927065520017078584536651060021248*t^12 - 784303541308147068037591257220146515412651314346815025/19505971623102821821287015370300192731136*t^10 + 1826077878127422869117590804766795199448837279438683375/39011943246205643642574030740600385462272*t^8 - 2382857907098257288043739709148052026093821589381860875/78023886492411287285148061481200770924544*t^6 + 1531068050906325208945142813676560370504414260426870625/156047772984822574570296122962401541849088*t^4 - 381088649079207763590906173170080165396167218090342125/312095545969645149140592245924803083698176*t^2 + 16984151079881543696955123867821982132533224854625875/624191091939290298281184491849606167396352
-------------------------------------------------
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:
| (3.2239396975757723351 - 9.4394940274672783827e-421j)  +/-  (8.63e-121, 8.63e-121j)
| (-3.6783246397895513046 - 9.6103190455751177074e-421j)  +/-  (1.22e-120, 1.22e-120j)
| (-5.8477237091268421777 - 6.2995225464948285318e-427j)  +/-  (2.4e-121, 2.4e-121j)
| (-5.2268389901746438702 + 2.4353184764415746741e-431j)  +/-  (6.89e-121, 6.89e-121j)
| (-6.597476115842754798 - 1.4509047468012871791e-438j)  +/-  (3.26e-122, 3.26e-122j)
| (-4.1593037156909630444 + 3.7943981208135174874e-444j)  +/-  (1.49e-120, 1.49e-120j)
| (5.8477237091268421777 + 1.1924761155015887706e-456j)  +/-  (2.24e-121, 2.24e-121j)
| (5.2268389901746438702 + 2.2803350879375738949e-456j)  +/-  (7.42e-121, 7.42e-121j)
| (-3.2239396975757723351 - 4.742289784648936861e-458j)  +/-  (8.39e-121, 8.39e-121j)
| (6.597476115842754798 - 4.3502968685578955422e-466j)  +/-  (3.59e-122, 3.59e-122j)
| (1.3532153932168790075 - 2.6972061914545666827e-467j)  +/-  (3.67e-123, 3.67e-123j)
| (4.6717980368507442916 + 1.26533408275337563e-465j)  +/-  (1.18e-120, 1.18e-120j)
| (-4.6717980368507442916 - 1.6096158243866432283e-471j)  +/-  (1.26e-120, 1.26e-120j)
| (-1.7034990236223141872 + 4.9814656410792523996e-477j)  +/-  (1.73e-122, 1.73e-122j)
| (-2.7962452403682858841 + 6.237832802967052406e-475j)  +/-  (4.75e-121, 4.75e-121j)
| (2.7962452403682858841 - 1.3485321930464444784e-477j)  +/-  (4.41e-121, 4.41e-121j)
| (4.1593037156909630444 - 1.2957572836753161746e-478j)  +/-  (1.61e-120, 1.61e-120j)
| (-2.4011096518669549363 + 3.1192250048183689877e-479j)  +/-  (2.18e-121, 2.18e-121j)
| (-0.47163491392669313058 + 2.0028316797439988458e-487j)  +/-  (1.58e-125, 1.58e-125j)
| (3.6783246397895513046 + 6.736564260639262384e-482j)  +/-  (1.33e-120, 1.33e-120j)
| (0.16761481870756104368 - 4.1397719675310960011e-488j)  +/-  (7.78e-127, 7.78e-127j)
| (1.0038778264931402362 + 5.4317913686429134907e-486j)  +/-  (5.44e-124, 5.44e-124j)
| (0.47163491392669313058 + 6.8856732092163541254e-487j)  +/-  (1.58e-125, 1.58e-125j)
| (-1.3532153932168790075 - 3.415082773189652227e-485j)  +/-  (3.64e-123, 3.64e-123j)
| (-0.16761481870756104368 - 4.474323458993549857e-489j)  +/-  (7.78e-127, 7.78e-127j)
| (2.4011096518669549363 + 9.9459007304607135635e-485j)  +/-  (2.11e-121, 2.11e-121j)
| (0.7071067811865475244 - 1.1568372958157385024e-487j)  +/-  (8.44e-125, 8.44e-125j)
| (1.7034990236223141872 + 4.8016801100379289236e-484j)  +/-  (2.02e-122, 2.02e-122j)
| (-2.0436541275856649452 + 8.8493876963761302311e-487j)  +/-  (7.3e-122, 7.3e-122j)
| (-0.7071067811865475244 - 3.261402477424528149e-488j)  +/-  (9.85e-125, 9.85e-125j)
| (-1.0038778264931402362 + 2.0188555899592226188e-487j)  +/-  (5e-124, 5e-124j)
| (2.0436541275856649452 - 9.9499056607001263548e-487j)  +/-  (7.28e-122, 7.28e-122j)
-------------------------------------------------
The weights are:
| (7.6278492441566677683e-06 + 3.4806419957390675509e-425j)  +/-  (3.61e-31, 1.56e-90j)
| (3.5071550247009454937e-07 - 1.6084870439265480325e-426j)  +/-  (2.77e-33, 1.2e-92j)
| (5.3113112420185668953e-16 + 9.7933124025092158193e-433j)  +/-  (8.63e-40, 3.72e-99j)
| (4.4853626852010900127e-13 - 6.0783717907383890367e-431j)  +/-  (1.93e-38, 8.33e-98j)
| (6.1122243502173915333e-20 - 5.1600803228570989636e-435j)  +/-  (6.47e-42, 2.79e-101j)
| (8.5754043314331696452e-09 - 6.6808278975616634093e-428j)  +/-  (6e-36, 2.59e-95j)
| (5.3113112420185668953e-16 + 1.336492494458010216e-432j)  +/-  (1.67e-43, 7.19e-103j)
| (4.4853626852010900127e-13 - 8.2844502064573299571e-431j)  +/-  (2.89e-42, 1.25e-101j)
| (7.6278492441566677683e-06 + 5.8584704293678847948e-426j)  +/-  (6.91e-36, 2.98e-95j)
| (6.1122243502173915333e-20 - 6.9301704124176505696e-435j)  +/-  (1.2e-45, 5.18e-105j)
| (0.032066716394235649806 - 5.8850265914077545872e-423j)  +/-  (9.78e-31, 4.22e-90j)
| (9.9527548700439455831e-11 + 2.8577749940351541739e-429j)  +/-  (1.95e-41, 8.42e-101j)
| (9.9527548700439455831e-11 + 2.1901416656256706333e-429j)  +/-  (7.38e-40, 3.18e-99j)
| (0.010644184944585053389 + 9.2229159022883151871e-425j)  +/-  (1.1e-33, 4.74e-93j)
| (9.3646725059600380447e-05 - 1.8239926716712776017e-425j)  +/-  (2.1e-36, 9.08e-96j)
| (9.3646725059600380447e-05 - 1.24377483503748711e-424j)  +/-  (2.26e-38, 9.76e-98j)
| (8.5754043314331696452e-09 - 7.1555497828473433348e-428j)  +/-  (1.94e-41, 8.38e-101j)
| (0.00066483167880166174225 + 5.5005009230770297598e-425j)  +/-  (3.07e-37, 1.33e-96j)
| (0.11833260485555764741 - 1.6676195261821666273e-422j)  +/-  (9.84e-34, 4.34e-93j)
| (3.5071550247009454937e-07 + 1.7309762122098028829e-426j)  +/-  (1.63e-40, 7.03e-100j)
| (0.18163645390136071488 - 2.4560345670688795948e-422j)  +/-  (5.55e-34, 2.45e-93j)
| (0.069187662508754570645 + 1.3689410429706739482e-422j)  +/-  (7.77e-35, 3.43e-94j)
| (0.11833260485555764741 + 3.2178276734035874155e-422j)  +/-  (1.78e-34, 7.85e-94j)
| (0.032066716394235649806 + 3.8387246326802320256e-424j)  +/-  (1.32e-36, 5.86e-96j)
| (0.18163645390136071488 + 1.9564977347623350558e-422j)  +/-  (1.32e-34, 5.82e-94j)
| (0.00066483167880166174225 + 3.7675411022269133092e-424j)  +/-  (9.92e-39, 4.27e-98j)
| (0.084398777491417623841 - 2.7710798935142462423e-422j)  +/-  (2.64e-35, 1.18e-94j)
| (0.010644184944585053389 + 2.662593903000366766e-423j)  +/-  (1.36e-37, 6.14e-97j)
| (0.0029671342600999035496 - 1.1400279953395436512e-424j)  +/-  (2.86e-38, 1.36e-97j)
| (0.084398777491417623841 + 9.91386537724989846e-423j)  +/-  (1.74e-36, 8.32e-96j)
| (0.069187662508754570645 - 2.7631144447187011194e-423j)  +/-  (5.35e-37, 2.59e-96j)
| (0.0029671342600999035496 - 1.1055373421972120992e-423j)  +/-  (1.18e-38, 4.71e-98j)
