Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 29
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Trying to find an order 29 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^31 - 7637166998342426/8675427718359*t^29 + 731427901189014673/8675427718359*t^27 - 2979961192200516797/642624275434*t^25 + 209280110943647750825/1285248550868*t^23 - 9870194503096191138875/2570497101736*t^21 + 320278538735533213010175/5140994203472*t^19 - 379414632680613946491075/541157284576*t^17 + 5899723735921362524902725/1082314569152*t^15 - 62409651689843359527000375/2164629138304*t^13 + 436715706392712418855057875/4329258276608*t^11 - 1933180648023233166997564125/8658516553216*t^9 + 5048348292248712719159516625/17317033106432*t^7 - 6941557496075557283373319875/34634066212864*t^5 + 4091493448392391333261344375/69268132425728*t^3 - 644946308489019778536920625/138536264851456*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:
| (-4.0270895281537645783 - 5.5593868149095917195e-430j)  +/-  (2.4e-120, 2.4e-120j)
| (-6.877018061349960564 - 2.2268636841466464612e-433j)  +/-  (6.8e-122, 6.8e-122j)
| (4.0270895281537645783 - 5.3546261890617712569e-436j)  +/-  (2.51e-120, 2.51e-120j)
| (3.5705120407366043725 - 7.2924263436722151905e-436j)  +/-  (1.63e-120, 1.63e-120j)
| (6.877018061349960564 + 1.1752343755607430068e-439j)  +/-  (7.18e-122, 7.18e-122j)
| (-6.153545057137273144 + 3.5071761185006879506e-437j)  +/-  (5.04e-121, 5.04e-121j)
| (-5.5500545850306154144 + 1.489923696925766775e-442j)  +/-  (1.56e-120, 1.56e-120j)
| (4.5038279393672246029 + 3.6596263093241692922e-449j)  +/-  (2.9e-120, 2.9e-120j)
| (-1.4748652991112696749 - 6.9205746199915766618e-452j)  +/-  (2.47e-123, 2.47e-123j)
| (-4.5038279393672246029 - 1.3154193896361117936e-449j)  +/-  (3.29e-120, 3.29e-120j)
| (-5.0076330066129003077 - 8.818715423606946009e-461j)  +/-  (2.74e-120, 2.74e-120j)
| (5.5500545850306154144 - 1.0854799789411238133e-466j)  +/-  (1.56e-120, 1.56e-120j)
| (6.153545057137273144 - 7.8914285893201668684e-469j)  +/-  (4.88e-121, 4.88e-121j)
| (-2.2833727167135800368 + 9.6346548848448436196e-469j)  +/-  (6.45e-122, 6.45e-122j)
| (-1.8747057496908443299 + 5.4043773415642495779e-472j)  +/-  (1.35e-122, 1.35e-122j)
| (2.2833727167135800368 - 6.2402636200157766962e-475j)  +/-  (6.97e-122, 6.97e-122j)
| (0.7071067811865475244 - 2.746139541536230938e-479j)  +/-  (2.89e-125, 2.89e-125j)
| (-3.5705120407366043725 - 9.0943577078927986711e-475j)  +/-  (1.52e-120, 1.52e-120j)
| (-1.084744368803943889 - 1.8612368684186508938e-484j)  +/-  (3.56e-124, 3.56e-124j)
| (3.1295890766056314125 + 1.2421283348871093458e-480j)  +/-  (7.66e-121, 7.66e-121j)
| (1.084744368803943889 - 1.4752621355210003858e-484j)  +/-  (3.15e-124, 3.15e-124j)
| (2.7012418397070118083 - 1.6974737627963357158e-484j)  +/-  (2.49e-121, 2.49e-121j)
| (5.0076330066129003077 - 3.9360045253297342494e-481j)  +/-  (2.56e-120, 2.56e-120j)
| (-2.188988119975557611e-494 - 1.8107874548049674158e-494j)  +/-  (8.81e-493, 8.81e-493j)
| (-3.1295890766056314125 + 1.3713417364718691432e-484j)  +/-  (7.92e-121, 7.92e-121j)
| (1.4748652991112696749 + 3.4041041773312821913e-490j)  +/-  (2.23e-123, 2.23e-123j)
| (0.3459917192370751778 - 2.1566770422678250889e-493j)  +/-  (3.16e-126, 3.16e-126j)
| (1.8747057496908443299 - 6.6987705846469486375e-492j)  +/-  (1.46e-122, 1.46e-122j)
| (-2.7012418397070118083 + 7.5115764694193477252e-494j)  +/-  (2.73e-121, 2.73e-121j)
| (-0.7071067811865475244 + 3.0572779378234677414e-499j)  +/-  (3.35e-125, 3.35e-125j)
| (-0.3459917192370751778 - 4.0650871089604755929e-500j)  +/-  (2.75e-126, 2.75e-126j)
-------------------------------------------------
The weights are:
| (2.3791996191013260547e-08 - 5.6425662917628586042e-437j)  +/-  (6.14e-32, 4.83e-92j)
| (1.3570975721916379206e-21 - 6.57340393100132988e-445j)  +/-  (4.94e-39, 3.89e-99j)
| (2.3791996191013260547e-08 - 1.6419969403657200065e-438j)  +/-  (4.32e-33, 3.4e-93j)
| (7.3486956512254267941e-07 + 1.0858635304251320197e-437j)  +/-  (1.1e-31, 8.62e-92j)
| (1.3570975721916379206e-21 + 1.7180156516944776917e-445j)  +/-  (1.46e-40, 1.15e-100j)
| (1.3110639267256284644e-17 + 9.6611459983489768589e-443j)  +/-  (1.25e-38, 9.87e-99j)
| (1.3425175702065564868e-14 - 4.7768907651044173611e-441j)  +/-  (1.09e-37, 8.61e-98j)
| (4.2772298987880134624e-10 + 1.8658570956702187968e-439j)  +/-  (1.89e-36, 1.49e-96j)
| (0.025329350915519978804 - 1.3085031626484183811e-434j)  +/-  (1.45e-26, 1.14e-86j)
| (4.2772298987880134624e-10 - 3.3389670740300685045e-438j)  +/-  (4.29e-36, 3.37e-96j)
| (3.7791892832680971485e-12 + 1.3764662194342702107e-439j)  +/-  (5.17e-37, 4.07e-97j)
| (1.3425175702065564868e-14 + 7.596063918219442954e-442j)  +/-  (1.25e-40, 9.83e-101j)
| (1.3110639267256284644e-17 - 2.0179086939082585099e-443j)  +/-  (6.94e-42, 5.46e-102j)
| (0.0012681901806394284325 - 2.9719136742693831916e-435j)  +/-  (1.31e-33, 1.03e-93j)
| (0.0067884215696268717132 + 6.6121499842331132854e-435j)  +/-  (3.38e-32, 2.66e-92j)
| (0.0012681901806394284325 - 8.2122576537820179278e-436j)  +/-  (3.35e-35, 2.64e-95j)
| (0.12660716005726576324 - 2.4783893934817575135e-434j)  +/-  (1.72e-31, 1.36e-91j)
| (7.3486956512254267941e-07 + 1.8066005250590177994e-436j)  +/-  (7.12e-37, 5.6e-97j)
| (0.066883993225240786238 + 2.2959756807918878733e-434j)  +/-  (3.84e-32, 3.02e-92j)
| (1.3661720230160406263e-05 - 5.629755460684526144e-437j)  +/-  (6.61e-37, 5.2e-97j)
| (0.066883993225240786238 + 1.3215624810664290236e-434j)  +/-  (4.67e-33, 3.67e-93j)
| (0.0001616849214915868168 + 2.361918604771222626e-436j)  +/-  (2.36e-36, 1.85e-96j)
| (3.7791892832680971485e-12 - 1.4938396636585182692e-440j)  +/-  (1.39e-40, 1.09e-100j)
| (0.19328499678194504183 - 4.8045517121629227676e-434j)  +/-  (4.88e-34, 3.83e-94j)
| (1.3661720230160406263e-05 - 4.4887377733334292606e-436j)  +/-  (7.7e-38, 6.06e-98j)
| (0.025329350915519978804 - 6.0699044726391301457e-435j)  +/-  (1.68e-35, 1.31e-95j)
| (0.17630427992593597244 + 3.8784348216697619412e-434j)  +/-  (1.32e-34, 1.03e-94j)
| (0.0067884215696268717132 + 2.4114928343871568e-435j)  +/-  (2.91e-36, 2.29e-96j)
| (0.0001616849214915868168 + 1.1985591210986718226e-435j)  +/-  (1.83e-37, 1.44e-97j)
| (0.12660716005726576324 - 3.5340916308721252878e-434j)  +/-  (1.07e-35, 8.63e-96j)
| (0.17630427992593597244 + 4.6075033186926826742e-434j)  +/-  (1.9e-35, 1.42e-95j)
