Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 10 20
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P2 : t^12 - 8477/152*t^10 + 155745/152*t^8 - 563535/76*t^6 + 1500975/76*t^4 - 2132865/152*t^2 + 110565/152
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^32 - 5847620745189902742312521012110897533368147/15200942729722706849010779556151908007272*t^30 + 12644919256579524947979482260018581816939281405/197612255486395189037140134229974804094536*t^28 - 400081122936175138642196911504582436092164621435/65870751828798396345713378076658268031512*t^26 + 20387375050055854407467598019974488298066909893475/55736790008983258446372858372556996026664*t^24 - 1522385358845467078408382927315819048923215938295165/103511181445254622828978165549034421192376*t^22 + 41904237470502697430180905903826422602052206311645415/103511181445254622828978165549034421192376*t^20 - 41952635304563581114980113016941223658050145132098825/5447956918171295938367271871001811641704*t^18 + 550422197946624621101871726504213339736118711393236575/5447956918171295938367271871001811641704*t^16 - 378563398035402929896354780909622864881328233518424125/419073609090099687566713220846293203208*t^14 + 2254606905797397966628367821028430378115332231652685775/419073609090099687566713220846293203208*t^12 - 784303541308147068037591257220146515412651314346815025/38097600826372698869701201895117563928*t^10 + 1826077878127422869117590804766795199448837279438683375/38097600826372698869701201895117563928*t^8 - 2382857907098257288043739709148052026093821589381860875/38097600826372698869701201895117563928*t^6 + 1531068050906325208945142813676560370504414260426870625/38097600826372698869701201895117563928*t^4 - 381088649079207763590906173170080165396167218090342125/38097600826372698869701201895117563928*t^2 + 16984151079881543696955123867821982132533224854625875/38097600826372698869701201895117563928
-------------------------------------------------
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:
| (-5.8821437247589677611 - 1.5873521124613941624e-262j)  +/-  (2.15e-120, 2.15e-120j)
| (7.3918665882454738578 - 1.4540598657129286279e-267j)  +/-  (1.06e-120, 1.06e-120j)
| (-8.2699301784578801485 - 5.7847896355164547264e-278j)  +/-  (3.27e-121, 3.27e-121j)
| (-6.6069201443823230636 - 5.3540405321618105745e-277j)  +/-  (1.89e-120, 1.89e-120j)
| (6.6069201443823230636 + 3.6402586746500476492e-289j)  +/-  (2.02e-120, 2.02e-120j)
| (5.8821437247589677611 + 3.27617052162919358e-309j)  +/-  (2.31e-120, 2.31e-120j)
| (8.2699301784578801485 + 4.1044997593907397904e-319j)  +/-  (3.37e-121, 3.37e-121j)
| (-2.8901633840314029187 - 9.7074389156763858093e-326j)  +/-  (1.01e-121, 1.01e-121j)
| (-7.3918665882454738578 - 1.995868317620354537e-326j)  +/-  (1.09e-120, 1.09e-120j)
| (1.9137355618993510628 - 6.4961271850712452932e-326j)  +/-  (5.19e-123, 5.19e-123j)
| (9.3302402004573925682 + 9.7369817585358887527e-325j)  +/-  (5.25e-122, 5.25e-122j)
| (4.5593392445846716977 + 2.3141457595848680672e-329j)  +/-  (1.39e-120, 1.39e-120j)
| (-2.4091114226960021407 + 1.5134474000654231133e-340j)  +/-  (2.56e-122, 2.56e-122j)
| (-1.9137355618993510628 - 4.6471453948395327636e-341j)  +/-  (5.31e-123, 5.31e-123j)
| (3.3956818344151884134 + 6.2605550401001386659e-338j)  +/-  (3.25e-121, 3.25e-121j)
| (2.8901633840314029187 + 7.8464283299240262149e-349j)  +/-  (1.06e-121, 1.06e-121j)
| (1.4196976371922236687 - 6.6510663900422373643e-358j)  +/-  (7.96e-124, 7.96e-124j)
| (-5.2019365924015129919 + 5.6903328919478399829e-354j)  +/-  (2.05e-120, 2.05e-120j)
| (-1.4196976371922236687 + 1.846090712046662465e-358j)  +/-  (7.61e-124, 7.61e-124j)
| (-4.5593392445846716977 + 1.6501433864685766925e-355j)  +/-  (1.27e-120, 1.27e-120j)
| (3.9544879426500450264 + 5.7206706462961933543e-358j)  +/-  (6.27e-121, 6.27e-121j)
| (-9.3302402004573925682 - 2.7188582889831996431e-365j)  +/-  (5.11e-122, 5.11e-122j)
| (1 - 3.7194667019740853298e-367j)  +/-  (1.25e-124, 1.25e-124j)
| (-3.9544879426500450264 + 2.960694683443132712e-363j)  +/-  (6.2e-121, 6.2e-121j)
| (-1 - 1.2033688054657218792e-367j)  +/-  (1.21e-124, 1.21e-124j)
| (0.23704314987094039888 - 5.9881939988814874676e-369j)  +/-  (1.16e-126, 1.16e-126j)
| (2.4091114226960021407 + 6.7949064565177780381e-365j)  +/-  (2.72e-122, 2.72e-122j)
| (0.66699249176379675031 - 2.1561800654116824797e-370j)  +/-  (2.17e-125, 2.17e-125j)
| (-0.23704314987094039888 - 8.6082508860227001988e-372j)  +/-  (1.16e-126, 1.16e-126j)
| (-0.66699249176379675031 + 1.0597017746801142461e-370j)  +/-  (2.17e-125, 2.17e-125j)
| (-3.3956818344151884134 - 4.2952593809897445236e-369j)  +/-  (3.35e-121, 3.35e-121j)
| (5.2019365924015129919 - 1.3883748484264544033e-374j)  +/-  (1.75e-120, 1.75e-120j)
-------------------------------------------------
The weights are:
| (8.5754043314331696452e-09 - 5.1747821492270809586e-270j)  +/-  (1.54e-37, 8.49e-97j)
| (4.4853626852010900127e-13 + 2.4348187498673851735e-274j)  +/-  (1.71e-41, 9.41e-101j)
| (5.3113112420185668953e-16 - 2.8037569454900433399e-275j)  +/-  (1.05e-42, 5.76e-102j)
| (9.9527548700439455831e-11 - 1.1353938775864339035e-271j)  +/-  (2.3e-39, 1.27e-98j)
| (9.9527548700439455831e-11 - 6.5890395695295534523e-273j)  +/-  (1.32e-40, 7.25e-100j)
| (8.5754043314331696452e-09 + 1.1570787983532272056e-271j)  +/-  (1.22e-39, 6.71e-99j)
| (5.3113112420185668953e-16 - 4.7305796530362360477e-276j)  +/-  (4.96e-44, 2.73e-103j)
| (0.0029671342600999035496 + 1.026786459958613661e-266j)  +/-  (4.45e-34, 2.45e-93j)
| (4.4853626852010900127e-13 + 2.140752765792134506e-273j)  +/-  (6.65e-43, 3.66e-102j)
| (0.032066716394235649806 - 3.6145036054143996828e-266j)  +/-  (6.27e-31, 3.45e-90j)
| (6.1122243502173915333e-20 + 2.8744273962668688671e-278j)  +/-  (2.27e-46, 1.25e-105j)
| (7.6278492441566677683e-06 + 1.4761430864536770106e-269j)  +/-  (7.3e-39, 4.02e-98j)
| (0.010644184944585053389 - 2.8495590298178148142e-266j)  +/-  (5.77e-34, 3.18e-93j)
| (0.032066716394235649806 + 7.1006375769366374334e-266j)  +/-  (2e-32, 1.1e-91j)
| (0.00066483167880166174225 + 7.60568156152524608e-268j)  +/-  (2.65e-37, 1.46e-96j)
| (0.0029671342600999035496 - 3.5020729346253268184e-267j)  +/-  (3.3e-36, 1.82e-95j)
| (0.069187662508754570645 + 1.1259552653018761022e-265j)  +/-  (3.99e-32, 2.2e-91j)
| (3.5071550247009454937e-07 + 2.4097033031456461558e-269j)  +/-  (6.19e-42, 3.41e-101j)
| (0.069187662508754570645 - 1.8423854043933908553e-265j)  +/-  (7.48e-34, 4.12e-93j)
| (7.6278492441566677683e-06 - 1.1651844250038512158e-268j)  +/-  (2.69e-41, 1.48e-100j)
| (9.3646725059600380447e-05 - 1.1922956499961635466e-268j)  +/-  (4.43e-40, 2.45e-99j)
| (6.1122243502173915333e-20 + 1.2681478275537830749e-277j)  +/-  (6.21e-50, 3.42e-109j)
| (0.084398777491417623841 - 2.9025415376000563502e-265j)  +/-  (2.08e-35, 1.16e-94j)
| (9.3646725059600380447e-05 + 6.084160297627620846e-268j)  +/-  (9.21e-41, 5.08e-100j)
| (0.084398777491417623841 + 4.0915850003443880911e-265j)  +/-  (7.37e-36, 4.12e-95j)
| (0.18163645390136071488 - 4.0386429747725573565e-265j)  +/-  (7.51e-36, 4.2e-95j)
| (0.010644184944585053389 + 1.193620627597932721e-266j)  +/-  (2.34e-38, 1.31e-97j)
| (0.11833260485555764741 + 4.0882672269048745123e-265j)  +/-  (6.81e-36, 3.81e-95j)
| (0.18163645390136071488 + 4.3778158032316602476e-265j)  +/-  (2.68e-36, 1.5e-95j)
| (0.11833260485555764741 - 5.1340058987710084912e-265j)  +/-  (9.44e-37, 5.28e-96j)
| (0.00066483167880166174225 - 2.8379343871226083287e-267j)  +/-  (2.94e-40, 1.59e-99j)
| (3.5071550247009454937e-07 - 1.4787866769572881006e-270j)  +/-  (3.61e-43, 2.02e-102j)
