Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 3 6 20
-------------------------------------------------
Trying to find an order 3 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : 3/2*t^5 - 25/14*t^3 + 3/7*t
Solvable: 1
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P3 : 3/2*t^11 - 2114365/488852*t^9 + 2243043/488852*t^7 - 1964259/907868*t^5 + 386565/907868*t^3 - 11007/453934*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^31 - 173680089710855587534111332382813241926499940066547143034541747770983/15089496981815130144119702055088789654897836780392462078790003147652*t^29 + 3763682576490946606280024002211861643822692759918859978564307358754627653/94271632393890025575387838589167213368974235285501906837240544664955870*t^27 - 22245649374310187227520689820667374935968926296406097501897001259613344837967/268799847832445092923955857097245447719401869544061103695251873021344170660*t^25 + 472261691238461634009656562536911688108553250759130982555826912159622086053/4135382274345309121907013186111468426452336454524016979926951892636064164*t^23 - 127820381866722996828548942336354625311725655873952594899429159323624174272093/1155839345679513899573010185518155425193428039039462745889583053991779933838*t^21 + 1045019414573574814467116121516942583540854352431329065187127567924730894472835/13539832335102877109283833601784106409408728457319420737563687203903707796388*t^19 - 101596680061272323153460740708105171608096874389798274206268733379837642683003/2588497358181432388539556423870490931210492205075771611593057847805120608133*t^17 + 37613877914372034073785270021934396296552849149589257259087600787260475626774/2588497358181432388539556423870490931210492205075771611593057847805120608133*t^15 - 36177115956591730045087786152035283426627902428203087894829538378188753551219/9343844122215902280581813432508113605345191374419858500384696621345313414724*t^13 + 869961342775266004186307709886520584091162104683742982047622847484094356779/1199321674005350605781297162401533365265684223818649100899109092274644432033*t^11 - 18971497298948913694171692386728282238705414706741122774394007537705090677485/206283327928920304194383111933063738825697686496807645354646763871238842309676*t^9 + 1531883143794707922354281899496014636723966700761032894300529668514922674407/206283327928920304194383111933063738825697686496807645354646763871238842309676*t^7 - 195888687042440777929989457729159636322281539595843212488394870904854684/566712439365165670863689867947977304466202435430790234490787812833073742609*t^5 + 1138261666967635327319546173374427088945397831334321176489374859813506739/147345234234943074424559365666474099161212633212005460967604831336599173078340*t^3 - 3959843659095327726690935990524402676972839265992774382114516584227051/73672617117471537212279682833237049580606316606002730483802415668299586539170*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:
| (-0.99862227514718951288 + 1.3682066658426811657e-417j)  +/-  (5.95e-118, 5.95e-118j)
| (-0.98785368285261173498 + 2.8847381739420362616e-417j)  +/-  (1.21e-117, 1.21e-117j)
| (-0.87427463631401596669 - 6.5939376828524491548e-417j)  +/-  (6.51e-118, 6.51e-118j)
| (0.99862227514718951288 - 6.5263397393420016508e-417j)  +/-  (6.01e-118, 6.01e-118j)
| (0.87427463631401596669 + 3.6409939837374004893e-415j)  +/-  (6.45e-118, 6.45e-118j)
| (0.92582009977255146157 - 2.6332596334742099234e-417j)  +/-  (9.57e-118, 9.57e-118j)
| (0.98785368285261173498 + 2.78525750097334999e-418j)  +/-  (1.33e-117, 1.33e-117j)
| (-0.92582009977255146157 + 1.6286361509014514439e-420j)  +/-  (8.97e-118, 8.97e-118j)
| (-0.96361923115240970394 - 1.616181375864566326e-420j)  +/-  (1.2e-117, 1.2e-117j)
| (0.96361923115240970394 + 1.0740162414387718063e-418j)  +/-  (1.25e-117, 1.25e-117j)
| (0.79008322340119373077 + 4.5493779293602401196e-425j)  +/-  (1.13e-116, 1.13e-116j)
| (0.30476216915276288265 - 6.1845615528546772981e-446j)  +/-  (4.5e-124, 4.5e-124j)
| (-0.79008322340119373077 + 3.1224958477504499562e-436j)  +/-  (1.11e-116, 1.11e-116j)
| (-0.78699737049260734122 + 5.5271436670635686271e-439j)  +/-  (1.25e-116, 1.25e-116j)
| (3.1296376289218457331e-456 - 3.6089699979213487325e-456j)  +/-  (1.48e-454, 1.48e-454j)
| (0.76783983995640517243 - 2.5750044871603282931e-442j)  +/-  (1.14e-117, 1.14e-117j)
| (0.66810186093634302413 - 5.7797775316500137973e-457j)  +/-  (8.5e-120, 8.5e-120j)
| (-0.10894822040112229343 + 2.2748060239385910409e-469j)  +/-  (1.38e-126, 1.38e-126j)
| (-0.76783983995640517243 - 7.3841356681761747044e-461j)  +/-  (1.23e-117, 1.23e-117j)
| (-0.3918635944966426306 + 9.7501704908011234659e-468j)  +/-  (5.18e-123, 5.18e-123j)
| (0.3918635944966426306 + 1.4599719665315476661e-466j)  +/-  (5.17e-123, 5.17e-123j)
| (0.78699737049260734122 + 1.6749599078994943272e-466j)  +/-  (1.21e-116, 1.21e-116j)
| (0.10894822040112229343 + 7.2236419280228231878e-491j)  +/-  (1.08e-126, 1.08e-126j)
| (-0.4836666538211673584 - 1.5102866951039563002e-484j)  +/-  (6.25e-122, 6.25e-122j)
| (-0.57735026918962576451 + 1.8062520390654069489e-482j)  +/-  (7.15e-121, 7.15e-121j)
| (0.21227822496632498925 - 3.3196432524235342023e-489j)  +/-  (2.68e-125, 2.68e-125j)
| (0.57735026918962576451 - 1.9489337370836876909e-485j)  +/-  (6.41e-121, 6.41e-121j)
| (0.4836666538211673584 - 6.3528698232043941917e-486j)  +/-  (6.27e-122, 6.27e-122j)
| (-0.30476216915276288265 + 1.6358869727180092141e-487j)  +/-  (4.3e-124, 4.3e-124j)
| (-0.66810186093634302413 - 2.3709257353076475971e-485j)  +/-  (8.74e-120, 8.74e-120j)
| (-0.21227822496632498925 - 4.2095167017990591344e-493j)  +/-  (2.55e-125, 2.55e-125j)
-------------------------------------------------
The weights are:
| (0.0045770218878668987122 + 2.314688594520262491e-417j)  +/-  (3.07e-23, 3.14e-79j)
| (0.01741386993420453296 + 2.8576785746287991995e-418j)  +/-  (2.04e-23, 2.09e-79j)
| (0.058976260991510774367 - 1.9430419551384512333e-416j)  +/-  (2.3e-24, 2.36e-80j)
| (0.0045770218878668987122 + 1.5767672066221159885e-416j)  +/-  (3.48e-24, 3.56e-80j)
| (0.058976260991510774367 - 3.0296560249302888134e-415j)  +/-  (1.46e-24, 1.5e-80j)
| (0.044556421058923731367 - 1.9964347188814826122e-415j)  +/-  (1.05e-24, 1.07e-80j)
| (0.01741386993420453296 - 3.9958992268273222954e-416j)  +/-  (1.03e-24, 1.06e-80j)
| (0.044556421058923731367 + 3.6442596822912364934e-417j)  +/-  (2.89e-25, 2.96e-81j)
| (0.031039492353084230261 - 4.6394551696900771609e-417j)  +/-  (5.04e-25, 5.16e-81j)
| (0.031039492353084230261 + 7.297108010300923138e-416j)  +/-  (2.03e-25, 2.08e-81j)
| (1.5784326666836919524 + 3.4089988795916017637e-413j)  +/-  (5.98e-27, 6.12e-83j)
| (0.087497255845950286444 - 9.9886137311971776792e-416j)  +/-  (1.6e-28, 1.64e-84j)
| (1.5784326666836919524 + 2.4625285621734403424e-414j)  +/-  (2.1e-27, 2.15e-83j)
| (-1.7572963608406965378 - 2.8508756046031845745e-414j)  +/-  (1.93e-27, 1.97e-83j)
| (0.10981317519857592643 + 4.5792998344041606552e-416j)  +/-  (6.04e-31, 6.18e-87j)
| (0.31003725011563100198 + 4.9020560940892096739e-414j)  +/-  (5.21e-29, 5.33e-85j)
| (0.088847380903770947202 - 2.1814762482780605032e-415j)  +/-  (3e-30, 3.06e-86j)
| (0.10717498385276954485 - 4.4002526875935325561e-416j)  +/-  (7.41e-32, 7.58e-88j)
| (0.31003725011563100198 + 4.2596956699489780504e-415j)  +/-  (1.99e-29, 2.04e-85j)
| (0.08894064169618491675 + 4.4001592873348701352e-416j)  +/-  (1.75e-32, 1.79e-88j)
| (0.08894064169618491675 + 1.094748217246708093e-415j)  +/-  (3.69e-32, 3.78e-88j)
| (-1.7572963608406965378 - 3.8393341861983724386e-413j)  +/-  (3.12e-29, 3.19e-85j)
| (0.10717498385276954485 - 5.5836484902443926089e-416j)  +/-  (2.29e-32, 2.34e-88j)
| (0.09380536406933662696 - 3.4264080854389743908e-416j)  +/-  (3.28e-33, 3.35e-89j)
| (0.092700744610325951816 + 2.9450437094871451414e-416j)  +/-  (2.96e-33, 3.03e-89j)
| (0.098390419238157178472 + 7.6421531665819778336e-416j)  +/-  (5.73e-33, 5.85e-89j)
| (0.092700744610325951816 + 1.294409788796199452e-415j)  +/-  (1.69e-33, 1.73e-89j)
| (0.09380536406933662696 - 1.1055191571104716722e-415j)  +/-  (1.47e-33, 1.51e-89j)
| (0.087497255845950286444 - 5.012917111682246464e-416j)  +/-  (2.71e-35, 2.78e-91j)
| (0.088847380903770947202 - 3.4177798668927844058e-416j)  +/-  (1.7e-35, 2e-91j)
| (0.098390419238157178472 + 4.7742300167335693365e-416j)  +/-  (2.45e-35, 2.42e-91j)
