Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 9 16
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 9 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P3 : 3/2*t^15 - 1280116003/245021714*t^13 + 12427268373/1715151998*t^11 - 61055366515/12006063986*t^9 + 7331508745275/3877958667478*t^7 - 195050681397/553994095354*t^5 + 14996878941/553994095354*t^3 - 264841293/553994095354*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^31 - 198556732460582445302583528862752050934490689230299849426467064858703643339566259048500026206843940705/17633460881101039514801522539581403538049140703835809053748402283188814251926353815237053530336061654*t^29 + 4708672298870587892749129978650494189820373764364143600774987504713897227507228231106990721752855586315/123434226167707276603610657777069824766343984926850663376238815982321699763484476706659374712352431578*t^27 - 2863614056595024002285732388609921129144095826230494718499673196737455453422201324283109822756709689042455/37153702076479890257686807990898017254669539462982049676247883610678831628808827488704471788418081904978*t^25 + 1240775322271176769185363912049476763812520875368745686922544995425422874819087480831522874533269955189633325/12000645770703004553232838981060059573258261246543202045428066406249262616105251278851544387659040455307894*t^23 - 50610880582602857695720824479078227379739883186148255721079598975754819178601284484492688683970617629680075/521767207421869763184036477437393894489489619414921828062089843749967939830663099080501929898219150230778*t^21 + 180066246779700485118197662057335201501259402629068540783114390834479409442237393529830372265438376249573325/2757912382087025891115621380740510585158730845478872519756760602678401967676362095139795915176301222648398*t^19 - 4619598422863414844876218596000832550000308749715693893916679049756701310589925515693381669623966287143575/145153283267738204795559020038974241324143728709414343145092663298863261456650636586305048167173748560442*t^17 + 3919989280937024816702978983461354831359713003256975076309714134264387161400337793844652710011359235351725/350075565528074493918701165976349640840581933946234592291105835014905512924863300002265116167889628881066*t^15 - 980407807381110054363573963831801348518989517349237486105184225829854357604631847562339322217106485370925/350075565528074493918701165976349640840581933946234592291105835014905512924863300002265116167889628881066*t^13 + 32024942031448296878921246740835977834494707340230336344015527751953542235600107847436773522633024009315/66230512397203282633267788157687769888758744260098436379398401219036178120920083784212319275006146004526*t^11 - 134575349903846226242673610705186485407946390865607549936990171818793312776916724963925205295279108388375/2450528958696521457430908161834447485884073537623642146037740845104338590474043100015855813175227402167462*t^9 + 9302262057881978921554268606151588522262596572270048376083192219729411076226732879811111834654893919415/2450528958696521457430908161834447485884073537623642146037740845104338590474043100015855813175227402167462*t^7 - 1130980947673984071733535156208929438050817453948043916242149164360036108175341852404468452814959815575/8051738007145713360130126817456041739333384480763395622695434205342826797271855900052097671861461464264518*t^5 + 17912220081650637700416507830652645853455852016863916349356254979177659360992692204560346585198185435/8051738007145713360130126817456041739333384480763395622695434205342826797271855900052097671861461464264518*t^3 - 1521122692125072142257479216231266998473718631523936047122127682279088104453100366097656698171133609/152983022135768553842472409531664793047334305134504516831213249901513709148165262100989855765367767821025842*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:
| (-0.99698470533135165785 + 2.7266095271535189086e-441j)  +/-  (2.66e-118, 2.66e-118j)
| (-0.91248695683407599658 + 6.4237419394965706131e-449j)  +/-  (7.76e-118, 7.76e-118j)
| (-0.85547686927885029309 - 1.3972338402412161399e-450j)  +/-  (9.51e-118, 9.51e-118j)
| (0.99698470533135165785 - 2.6772801493801607832e-452j)  +/-  (2.92e-118, 2.92e-118j)
| (0.80414193312339678662 + 1.2793605647479938882e-449j)  +/-  (2.81e-117, 2.81e-117j)
| (0.91248695683407599658 + 8.2166376301676208402e-455j)  +/-  (7.68e-118, 7.68e-118j)
| (0.98280708179129512709 + 3.760981685403306842e-455j)  +/-  (6.47e-118, 6.47e-118j)
| (-0.95482216398392868006 - 1.2780640952779377647e-454j)  +/-  (8.1e-118, 8.1e-118j)
| (-0.98280708179129512709 + 7.6106951558629345225e-465j)  +/-  (6.43e-118, 6.43e-118j)
| (0.95482216398392868006 - 9.2127942482619642137e-471j)  +/-  (7.7e-118, 7.7e-118j)
| (0.81106721229304993576 - 1.2920917096765668382e-469j)  +/-  (3.45e-117, 3.45e-117j)
| (0.26125530666388341897 - 1.0170721641239003485e-478j)  +/-  (8.19e-125, 8.19e-125j)
| (-0.80414193312339678662 + 2.3498745311511829583e-469j)  +/-  (2.61e-117, 2.61e-117j)
| (-0.81106721229304993576 + 4.3147971947814219176e-493j)  +/-  (3.33e-117, 3.33e-117j)
| (-3.2282234231889695929e-505 + 1.6342132370314250534e-505j)  +/-  (1.12e-503, 1.12e-503j)
| (0.72770080257399915914 - 2.8981503574464887903e-495j)  +/-  (5.71e-119, 5.71e-119j)
| (0.65842574110888652149 + 1.4499051558863425351e-496j)  +/-  (6.3e-120, 6.3e-120j)
| (-0.084273476805294288369 + 6.2703429595997514746e-506j)  +/-  (7.95e-127, 7.95e-127j)
| (-0.65842574110888652149 + 7.1243144246945994046e-500j)  +/-  (6.38e-120, 6.38e-120j)
| (-0.37314303819498557267 - 1.4090793141962105668e-502j)  +/-  (1.33e-123, 1.33e-123j)
| (0.37314303819498557267 + 6.4287993306233036937e-501j)  +/-  (1.43e-123, 1.43e-123j)
| (0.85547686927885029309 - 5.2109202975353852401e-498j)  +/-  (9.63e-118, 9.63e-118j)
| (0.084273476805294288369 + 1.4544521776358246132e-508j)  +/-  (7.95e-127, 7.95e-127j)
| (-0.48040267911481959534 - 5.7498205168406359072e-503j)  +/-  (3.13e-122, 3.13e-122j)
| (-0.57735026918962576451 + 1.349258999635572984e-503j)  +/-  (5.31e-121, 5.31e-121j)
| (0.15655801081562154215 - 8.9163497712855346194e-507j)  +/-  (5.32e-126, 5.32e-126j)
| (0.57735026918962576451 + 1.2146083762292566838e-502j)  +/-  (5.28e-121, 5.28e-121j)
| (0.48040267911481959534 + 1.2782745241955412955e-506j)  +/-  (3.07e-122, 3.07e-122j)
| (-0.26125530666388341897 - 1.4151643810053675544e-509j)  +/-  (7.84e-125, 7.84e-125j)
| (-0.72770080257399915914 + 1.0664743537520333725e-507j)  +/-  (4.96e-119, 4.96e-119j)
| (-0.15655801081562154215 - 9.400723142952380672e-516j)  +/-  (5.48e-126, 5.48e-126j)
-------------------------------------------------
The weights are:
| (0.0079396708670423740741 + 3.2571500475495334971e-441j)  +/-  (8.47e-25, 3.15e-81j)
| (0.049412837009372041042 - 4.8410897398583131878e-441j)  +/-  (4.24e-25, 1.58e-81j)
| (0.066940445104206569865 + 1.3822262637908213318e-440j)  +/-  (3.73e-25, 1.39e-81j)
| (0.0079396708670423740741 + 1.0856927907909123549e-443j)  +/-  (1.48e-26, 5.51e-83j)
| (0.17574444101165711544 + 1.0585696852834535765e-440j)  +/-  (7.72e-27, 2.87e-83j)
| (0.049412837009372041042 - 2.142274190183688416e-442j)  +/-  (7.4e-27, 2.75e-83j)
| (0.020846494854928506351 - 3.7735280034208320359e-443j)  +/-  (8.8e-27, 3.27e-83j)
| (0.035189184917041115921 + 3.9503982795449638856e-441j)  +/-  (5.03e-27, 1.87e-83j)
| (0.020846494854928506351 - 5.2694302265788065219e-441j)  +/-  (4.62e-27, 1.72e-83j)
| (0.035189184917041115921 + 8.5335711795658445452e-443j)  +/-  (1.04e-27, 3.86e-84j)
| (-0.11858687646279659466 - 1.0726112679047856314e-440j)  +/-  (1.33e-27, 4.96e-84j)
| (0.11164207277948496899 + 1.6992153698169452208e-441j)  +/-  (2.59e-31, 9.62e-88j)
| (0.17574444101165711544 + 9.8869040695149099027e-440j)  +/-  (7.95e-29, 2.96e-85j)
| (-0.11858687646279659466 - 1.0431168988465882671e-439j)  +/-  (1.02e-28, 3.78e-85j)
| (0.096127296195608674894 - 7.3797764004046688027e-441j)  +/-  (3.02e-32, 1.12e-88j)
| (0.068871793801559379154 - 1.3998737418594137987e-441j)  +/-  (3.22e-31, 1.2e-87j)
| (0.072781679322055091691 + 1.1442772027513031932e-441j)  +/-  (6.14e-32, 2.28e-88j)
| (0.066692324179967957049 + 7.7190013485071102662e-441j)  +/-  (7.72e-33, 2.87e-89j)
| (0.072781679322055091691 + 5.5950325747610008219e-441j)  +/-  (5.26e-33, 1.96e-89j)
| (0.11060743820864502223 - 2.1659422980342130516e-441j)  +/-  (7.98e-34, 2.97e-90j)
| (0.11060743820864502223 - 9.86189106145152693e-442j)  +/-  (1.25e-33, 4.65e-90j)
| (0.066940445104206569865 + 1.0558699477482052058e-441j)  +/-  (2.59e-32, 9.65e-89j)
| (0.066692324179967957049 + 6.515760362110552896e-441j)  +/-  (1.91e-33, 7.09e-90j)
| (0.10304510118086363121 + 2.3444960432509676567e-441j)  +/-  (1.8e-34, 6.7e-91j)
| (0.089781583216252979183 - 3.4120192730245757912e-441j)  +/-  (2.38e-34, 8.85e-91j)
| (0.091028161911915505005 - 4.1140319193426629484e-441j)  +/-  (4.92e-34, 1.83e-90j)
| (0.089781583216252979183 - 9.0946387397858940607e-442j)  +/-  (9.46e-35, 3.52e-91j)
| (0.10304510118086363121 + 8.1977450866907351454e-442j)  +/-  (5.78e-35, 2.15e-91j)
| (0.11164207277948496899 + 2.9059879496322846076e-441j)  +/-  (3.36e-36, 1.26e-92j)
| (0.068871793801559379154 - 8.9657864033700111149e-441j)  +/-  (2.88e-36, 1.16e-92j)
| (0.091028161911915505005 - 5.6467882145816889458e-441j)  +/-  (7.47e-36, 2.73e-92j)
