Starting with polynomial:
P : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Extension levels are: 7 22
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Trying to find an order 22 Kronrod extension for:
P1 : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Solvable: 1
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Ending with final polynomial:
P : 429/16*t^29 - 14066159496200785202911/75314553958848004656*t^27 + 12794931877504112076663/21966744904664001358*t^25 - 1923984533484479941788085825/1792310650261345198801936*t^23 + 10480438621786097608689191575/8065397926176053394608712*t^21 - 2242118959033464701350852120/2064357802533156523620087*t^19 + 2432954537915015329944393665/3793329743590338037800496*t^17 - 10719598122967893271804173295/39829962307698549396905208*t^15 + 2113363290885989308160202725/26553308205132366264603472*t^13 - 430582570971098884496726425/26553308205132366264603472*t^11 + 609251634990477933822706195/278809736153889845778336456*t^9 - 38792296717571643388798134765/213196511579007768738501276688*t^7 + 1476486345261845966461985/177073514600504791311047572*t^5 - 9939825411941202012429025/58737814414624589346321780312*t^3 + 249576889875869727625225/274109800601581416949501641456*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:
| (-0.99601971622308636806 + 7.5752687150469288499e-418j)  +/-  (5.89e-119, 5.89e-119j)
| (-0.94910791234275852453 - 3.9779796189676421375e-423j)  +/-  (1.95e-118, 1.95e-118j)
| (-0.90678885812168107436 - 1.692310682810061979e-432j)  +/-  (1.5e-118, 1.5e-118j)
| (2.5526278289396772927e-448 - 1.7114877208686572295e-448j)  +/-  (8.91e-447, 8.91e-447j)
| (0.90678885812168107436 - 1.2443818265441271865e-440j)  +/-  (1.56e-118, 1.56e-118j)
| (0.94910791234275852453 - 1.3172206160257227126e-441j)  +/-  (1.75e-118, 1.75e-118j)
| (0.99601971622308636806 + 3.3924567320237412924e-441j)  +/-  (5.97e-119, 5.97e-119j)
| (-0.85393029995720000348 + 9.0081240926910849463e-443j)  +/-  (9.69e-119, 9.69e-119j)
| (-0.97911914900063586633 + 8.6928651125800518705e-452j)  +/-  (1.55e-118, 1.55e-118j)
| (0.97911914900063586633 - 1.0423686077901865502e-458j)  +/-  (1.63e-118, 1.63e-118j)
| (0.85393029995720000348 + 2.6692353044865482245e-460j)  +/-  (9.72e-119, 9.72e-119j)
| (0.79555503612646885901 - 1.0207104463811925279e-464j)  +/-  (5.44e-119, 5.44e-119j)
| (-0.68055330812198518446 + 2.006324360034687368e-462j)  +/-  (5.2e-120, 5.2e-120j)
| (-0.79555503612646885901 - 2.3599052764947196463e-475j)  +/-  (5.16e-119, 5.16e-119j)
| (-0.19242929018355235256 + 7.2194179413103331732e-487j)  +/-  (9.53e-126, 9.53e-126j)
| (0.74153118559939443986 - 4.0990119827253206568e-481j)  +/-  (2.2e-119, 2.2e-119j)
| (0.50688844951315137419 - 1.3449936104318327617e-484j)  +/-  (4.48e-122, 4.48e-122j)
| (0.089917659063097209156 + 4.5095229772528912148e-490j)  +/-  (5.93e-127, 5.93e-127j)
| (-0.74153118559939443986 - 3.1456235863436379753e-481j)  +/-  (2.14e-119, 2.14e-119j)
| (-0.40584515137739716691 + 1.3055409630474834743e-484j)  +/-  (3.3e-123, 3.3e-123j)
| (0.40584515137739716691 - 6.4130521339473267616e-487j)  +/-  (3.32e-123, 3.32e-123j)
| (0.68055330812198518446 - 1.1143699866792763128e-484j)  +/-  (4.97e-120, 4.97e-120j)
| (-0.089917659063097209156 - 1.1843074497553858102e-489j)  +/-  (5.9e-127, 5.9e-127j)
| (-0.50688844951315137419 + 4.1919732169363894593e-483j)  +/-  (4.66e-122, 4.66e-122j)
| (-0.60000825011073864756 + 2.1536697606175574359e-485j)  +/-  (5.45e-121, 5.45e-121j)
| (0.19242929018355235256 + 9.4792112341680836501e-492j)  +/-  (1.03e-125, 1.03e-125j)
| (0.60000825011073864756 + 8.4461832634290256121e-488j)  +/-  (5.66e-121, 5.66e-121j)
| (0.29985799120056748494 + 2.4890544566482971658e-490j)  +/-  (1.75e-124, 1.75e-124j)
| (-0.29985799120056748494 + 1.8408611976317833356e-489j)  +/-  (1.96e-124, 1.96e-124j)
-------------------------------------------------
The weights are:
| (0.010204483575115941791 + 1.0105584724491918259e-417j)  +/-  (3.41e-29, 4.7e-86j)
| (0.036349606179887406623 + 1.4388453303609926708e-417j)  +/-  (1.89e-29, 2.61e-86j)
| (0.048022296469789063866 - 1.5415288416433987242e-417j)  +/-  (1.28e-29, 1.76e-86j)
| (0.085607128169375507999 + 1.6874186855223178916e-417j)  +/-  (1.45e-30, 2e-87j)
| (0.048022296469789063866 - 7.2289069106717322619e-419j)  +/-  (3.9e-31, 5.37e-88j)
| (0.036349606179887406623 + 3.4701470255844021454e-419j)  +/-  (2.32e-31, 3.2e-88j)
| (0.010204483575115941791 + 3.8805223596052026714e-420j)  +/-  (3.21e-32, 4.42e-89j)
| (0.056973867604603677983 + 1.9816202846571346249e-417j)  +/-  (6.47e-32, 8.91e-89j)
| (0.023544982012286601843 - 1.7386381579184075818e-417j)  +/-  (1.05e-31, 1.44e-88j)
| (0.023544982012286601843 - 1.4876863421720459187e-419j)  +/-  (6.59e-32, 9.07e-89j)
| (0.056973867604603677983 + 1.5220278853593632051e-418j)  +/-  (1.28e-32, 1.76e-89j)
| (0.05757160141649796068 - 3.2167531146598606537e-418j)  +/-  (2.94e-33, 4.05e-90j)
| (0.071571529662854759502 - 2.6353022506619324092e-417j)  +/-  (1.69e-34, 2.33e-91j)
| (0.05757160141649796068 - 2.8748456946129876867e-417j)  +/-  (1.08e-33, 1.49e-90j)
| (0.10642955786777749794 + 1.2838676413525275885e-417j)  +/-  (8.78e-36, 1.21e-92j)
| (0.05279287877532335628 + 4.8894768565052587584e-418j)  +/-  (5.32e-35, 7.33e-92j)
| (0.097620325798153222288 - 4.2231207389751418441e-418j)  +/-  (2.47e-36, 3.4e-93j)
| (0.096769522873828467279 - 1.3247062393296948953e-417j)  +/-  (2.68e-36, 3.68e-93j)
| (0.05279287877532335628 + 3.3383474267162034752e-417j)  +/-  (3.13e-35, 4.32e-92j)
| (0.10399833761312231923 + 1.1281020707206022622e-417j)  +/-  (4.2e-37, 5.78e-94j)
| (0.10399833761312231923 + 4.7492253915155664308e-418j)  +/-  (2.37e-37, 3.27e-94j)
| (0.071571529662854759502 - 4.9586244263641970657e-418j)  +/-  (1.01e-36, 1.39e-93j)
| (0.096769522873828467279 - 1.5876224715227403986e-417j)  +/-  (4.72e-37, 6.5e-94j)
| (0.097620325798153222288 - 1.2975988392438801821e-417j)  +/-  (1.03e-37, 1.41e-94j)
| (0.087919977989881335907 + 1.7354940802666813488e-417j)  +/-  (1.66e-37, 2.28e-94j)
| (0.10642955786777749794 + 8.6810943130672865366e-418j)  +/-  (1.46e-38, 2.02e-95j)
| (0.087919977989881335907 + 4.3061633186539743579e-418j)  +/-  (8.87e-39, 1.23e-95j)
| (0.10742746807619063478 - 6.0471792464358469472e-418j)  +/-  (5.99e-39, 8.3e-96j)
| (0.10742746807619063478 - 1.1256585810662615302e-417j)  +/-  (4.98e-39, 6.33e-96j)
