Starting with polynomial:
P : 2*t
Extension levels are: 1 2 8 22
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P3 : 2*t^11 - 149/3*t^9 + 399*t^7 - 2457/2*t^5 + 10605/8*t^3 - 5355/16*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^33 - 352128240105506857881621355/758389759703712471637608*t^31 + 70469647556337902667730560547/1516779519407424943275216*t^29 - 8039357930764015329357528671065/3033559038814849886550432*t^27 + 1359038320071302874875649124548321/14156608847802632803902016*t^25 - 65922238821787426099292192900244675/28313217695605265607804032*t^23 + 18482114929426498463347114783251525/475852398245466648870656*t^21 - 429077620177517363177396668029902775/951704796490933297741312*t^19 + 6936712950789970049921300085433237875/1903409592981866595482624*t^17 - 77426987547450717866864174174110413675/3806819185963733190965248*t^15 + 586081965505491221704912161226985281875/7613638371927466381930496*t^13 - 2922217798003982663649174612142715813625/15227276743854932763860992*t^11 + 9182700087608075206309809999665351275125/30454553487709865527721984*t^9 - 17016829873838637297785909480870397804375/60909106975419731055443968*t^7 + 16805397874703921635412245469979708588375/121818213950839462110887936*t^5 - 7519902533241770412199803266118369298125/243636427901678924221775872*t^3 + 1079540107983915478600492013258658245625/487272855803357848443551744*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:
| (3.9937410920504455395 + 5.2799953565278180065e-481j)  +/-  (2.19e-120, 2.19e-120j)
| (-5.6182080545918756723 + 2.342230665875156181e-485j)  +/-  (9.48e-121, 9.48e-121j)
| (2.699298394405951393e-493 + 1.6825232133712772822e-493j)  +/-  (1.05e-491, 1.05e-491j)
| (-3.9937410920504455395 + 7.1209000219182665058e-486j)  +/-  (2.3e-120, 2.3e-120j)
| (-6.3097955022838663413 - 1.0952431576162424652e-493j)  +/-  (2.24e-121, 2.24e-121j)
| (-5.0284360050015159411 + 2.6981276733222484459e-498j)  +/-  (1.81e-120, 1.81e-120j)
| (7.5297674311851141088 + 1.2922528414840583569e-507j)  +/-  (1.55e-122, 1.55e-122j)
| (-7.5297674311851141088 - 8.1287644930917303053e-508j)  +/-  (1.64e-122, 1.64e-122j)
| (6.3097955022838663413 + 8.9765859715295777553e-506j)  +/-  (2.2e-121, 2.2e-121j)
| (2.6414479718130762063 + 4.7552945828181277237e-505j)  +/-  (3.84e-121, 3.84e-121j)
| (1.8979025739610826354 - 2.0287402661620840921e-507j)  +/-  (4.73e-122, 4.73e-122j)
| (5.0284360050015159411 + 5.6619917642721171281e-505j)  +/-  (1.9e-120, 1.9e-120j)
| (-2.2444496880294279492 - 1.7132574090075734355e-506j)  +/-  (1.41e-121, 1.41e-121j)
| (4.49318103581456266 + 3.8791648097768991101e-510j)  +/-  (2.39e-120, 2.39e-120j)
| (2.2444496880294279492 - 3.7192882973167519675e-514j)  +/-  (1.62e-121, 1.62e-121j)
| (0.86207628878585249741 + 6.0970524654199301858e-513j)  +/-  (2.4e-124, 2.4e-124j)
| (-4.49318103581456266 - 5.1427197841783000504e-515j)  +/-  (2.45e-120, 2.45e-120j)
| (5.6182080545918756723 + 1.4374977637404501183e-522j)  +/-  (8.56e-121, 8.56e-121j)
| (-0.59841605318147530927 + 1.8384027055413181083e-529j)  +/-  (3.93e-125, 3.93e-125j)
| (3.5207882629582430588 - 3.6552409236020418135e-523j)  +/-  (1.69e-120, 1.69e-120j)
| (1.2247448713915890491 - 6.8494463504815705345e-526j)  +/-  (1.68e-123, 1.68e-123j)
| (-0.36055019046379466022 + 2.4408654412706528285e-530j)  +/-  (4.6e-126, 4.6e-126j)
| (-3.0699150777120897423 - 2.8278261424624619683e-526j)  +/-  (8.32e-121, 8.32e-121j)
| (-1.2247448713915890491 - 2.5829008462219876208e-537j)  +/-  (1.61e-123, 1.61e-123j)
| (-3.5207882629582430588 - 3.0848551770696060176e-534j)  +/-  (1.68e-120, 1.68e-120j)
| (-2.6414479718130762063 - 2.4834100494911709465e-540j)  +/-  (3.59e-121, 3.59e-121j)
| (0.36055019046379466022 + 3.2735865285640338907e-547j)  +/-  (4.7e-126, 4.7e-126j)
| (1.5772642262585094804 - 2.2378828772642471301e-543j)  +/-  (1.29e-122, 1.29e-122j)
| (-1.8979025739610826354 + 2.0892957832065971298e-543j)  +/-  (4.96e-122, 4.96e-122j)
| (-0.86207628878585249741 - 3.7363257248849035376e-547j)  +/-  (2.27e-124, 2.27e-124j)
| (-1.5772642262585094804 + 2.4429709746587667362e-545j)  +/-  (1.14e-122, 1.14e-122j)
| (3.0699150777120897423 + 4.2196183624665829665e-545j)  +/-  (8.2e-121, 8.2e-121j)
| (0.59841605318147530927 - 1.8879293313803636528e-552j)  +/-  (3.93e-125, 3.93e-125j)
-------------------------------------------------
The weights are:
| (3.2380576304824185664e-08 - 8.5865768524762156556e-488j)  +/-  (1.92e-33, 1.51e-92j)
| (6.9386506509674883113e-15 + 2.3359649374232387853e-493j)  +/-  (1.76e-38, 1.38e-97j)
| (0.21147522579014228094 + 1.5153170633134452839e-483j)  +/-  (5.68e-31, 4.46e-90j)
| (3.2380576304824185664e-08 - 2.1393081277941228723e-489j)  +/-  (1.9e-34, 1.49e-93j)
| (2.2532600409556452825e-18 - 2.8609374564116894697e-495j)  +/-  (1.57e-40, 1.24e-99j)
| (3.2882458717461010791e-12 - 7.8609813179448406836e-492j)  +/-  (2.28e-37, 1.79e-96j)
| (7.1524931741472861586e-25 - 5.5325525970064035309e-498j)  +/-  (1.11e-45, 8.75e-105j)
| (7.1524931741472861586e-25 + 1.6977487693474829678e-498j)  +/-  (5.21e-44, 4.1e-103j)
| (2.2532600409556452825e-18 + 1.2726871124645829934e-494j)  +/-  (2.12e-43, 1.67e-102j)
| (0.0002186070312512650027 + 6.7608144560956987888e-486j)  +/-  (4.44e-34, 3.49e-93j)
| (0.0049470716575257833299 + 9.9395806438697839523e-485j)  +/-  (4.91e-31, 3.86e-90j)
| (3.2882458717461010791e-12 + 6.8536972526520707599e-491j)  +/-  (3.77e-41, 2.96e-100j)
| (0.0013716592979159211342 - 8.3617490550625371748e-486j)  +/-  (8.09e-35, 6.36e-94j)
| (4.9616042432182768124e-10 - 2.6495035391542429051e-489j)  +/-  (6.43e-40, 5.05e-99j)
| (0.0013716592979159211342 - 2.9820355355969189516e-485j)  +/-  (3.72e-34, 2.92e-93j)
| (0.091914678696995344431 - 1.220218649416648429e-483j)  +/-  (3.17e-32, 2.49e-91j)
| (4.9616042432182768124e-10 + 1.559541629069496318e-490j)  +/-  (1.06e-40, 8.32e-100j)
| (6.9386506509674883113e-15 - 1.3820742189306984276e-492j)  +/-  (7.86e-43, 6.17e-102j)
| (0.073276471131867835117 + 1.6275636388894054564e-483j)  +/-  (1.51e-32, 1.19e-91j)
| (1.0767777891957212781e-06 + 3.5542315831468932599e-487j)  +/-  (3.12e-38, 2.45e-97j)
| (0.046161234573278374041 + 4.8047846305372985616e-484j)  +/-  (3.66e-33, 2.88e-92j)
| (0.16073228852266358482 - 1.7494102994872126828e-483j)  +/-  (2.46e-32, 1.94e-91j)
| (2.0051537142955281079e-05 - 1.9023818565981597563e-487j)  +/-  (3.77e-39, 2.96e-98j)
| (0.046161234573278374041 + 2.5494345253715935325e-484j)  +/-  (8.17e-35, 6.42e-94j)
| (1.0767777891957212781e-06 + 2.2365013895415943389e-488j)  +/-  (5.4e-40, 4.24e-99j)
| (0.0002186070312512650027 + 1.3778091755069339229e-486j)  +/-  (1.6e-38, 1.25e-97j)
| (0.16073228852266358482 - 2.0966361268338880177e-483j)  +/-  (9.21e-35, 7.23e-94j)
| (0.015619214998466684729 - 2.2997821622303718548e-484j)  +/-  (2.8e-36, 2.2e-95j)
| (0.0049470716575257833299 + 3.5356972135992285443e-485j)  +/-  (1.34e-37, 1.05e-96j)
| (0.091914678696995344431 - 7.8694666056475400433e-484j)  +/-  (5.71e-36, 4.49e-95j)
| (0.015619214998466684729 - 9.9752741406645872227e-485j)  +/-  (2.32e-37, 1.82e-96j)
| (2.0051537142955281079e-05 - 1.454725313101852466e-486j)  +/-  (2.16e-40, 1.65e-99j)
| (0.073276471131867835117 + 2.2012883927583899954e-483j)  +/-  (2.46e-36, 1.96e-95j)
