Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 16 19
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 19 Kronrod extension for:
P2 : 3/2*t^18 - 318937/47234*t^16 + 9281490/732127*t^14 - 272844390/21231683*t^12 + 132075125/17371377*t^10 - 25545611/9650765*t^8 + 115155586/221967595*t^6 - 6801938/133180557*t^4 + 3276767/1686953722*t^2 - 20605/1686953722
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^37 - 816042248369903009826642602752908310324753276913166551160663917653/57246075856848830718077886759360433931771385201514100736525804086*t^35 + 773376228164622743201427779484048485626874060725094727461548099335/12409988472463732533289611814966247915279111477251308551274824662*t^33 - 414280064880126021687174140314470492761123039035806907036356634202704215/2493675493645334878971747887711132822344099939350355191601714542406942*t^31 + 4697881115322757449312125545509852388256257574324887817586848168275827250/15565361549044267712291394073293683907212365750461088050804250450185267*t^29 - 1533363738576901372834897919431470598472704762451909413323921564357461682/3876431037118304219536170937793446183788520206053527675487648579548055*t^27 + 66346569715206817648041843836995440541489116890253745970445326059654357677054/171807299996120361314062632133943328311691004052498400105288072694149345655*t^25 - 893970173935097233052953243339065514800131553629923826517052218070623774686570/3126892859929390575915939904837768575272776273755470881916242923033518090921*t^23 + 17980652785898574950595469582734734273037883354089330184532496557596455524666595/111072672459230960892318387054454648956428618072096509153285672526886273055759*t^21 - 31461516207833819186521866184039509260780855991443012432395038042140415349868693325/448241703471545059178157445128755625481450290274093469581595280458858618221733713*t^19 + 1093735829086554443237757699777849358752026107910184858096232750144370294611422089/47183337207531058860858678434605855313836872660430891534904766364090380865445654*t^17 - 1903136946359434754933801758263838428952388811968430667185563846443269487903285041/330283360452717412026010749042240987196858108623016240744333364548632666058119578*t^15 + 21101313800390784413709528338208307877704557719094884458435434042193581092119920/19962181126263140287286363953102477248161753817874607957075093461730545750765469*t^13 - 23445959997278345683117398254983314453635129039593205977058260081710951733391140/168771167703861095156148349785320944007185736823848958182543971994630977711017147*t^11 + 142918102124308228016020908304983045262657543475683947700733257430717190447713175/11420182347961267438899371668806717211152901525080446170352142104970029491778826947*t^9 - 48830038534891149641914237364596297525973523827962635494701935821453284337241/67575043479060754076327643010690634385520127367339918167764154467278281016442763*t^7 + 78310293416620794324321999459995537511818666294786639270931510698990721253355/3262909242274647839685534762516204917472257578594413191529183458562865569079664842*t^5 - 28277417346282848668546707082980020379121307210325146271623176791295127978865/75046912572316900312767299537872713101861924307671503405171219546945908088832291366*t^3 + 465750248509168403247825198647151925949889427463535816458915552346906642225/262664194003109151094685548382554495856516735076850261918099268414310678310913019781*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: 0
  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:
| (-0.99889643676084886135 - 7.7711115668401072439e-395j)  +/-  (9.12e-115, 9.12e-115j)
| (-0.99315423719328915677 + 1.4825110020021173283e-397j)  +/-  (2.03e-114, 2.03e-114j)
| (-0.93747741474498461095 + 1.8226744465825742578e-397j)  +/-  (9.02e-115, 9.02e-115j)
| (0.99315423719328915677 + 4.2659234338452743574e-395j)  +/-  (1.93e-114, 1.93e-114j)
| (0.98121851598180355276 + 1.6395326479689098737e-406j)  +/-  (2.29e-114, 2.29e-114j)
| (0.90534757705968229871 - 2.8116332875827493842e-417j)  +/-  (3.41e-115, 3.41e-115j)
| (-0.088015843352330596119 - 1.0906973023836980258e-433j)  +/-  (8.79e-127, 8.79e-127j)
| (-0.90534757705968229871 + 3.1264775542559500286e-422j)  +/-  (3.34e-115, 3.34e-115j)
| (-0.98121851598180355276 - 7.778711371024397261e-421j)  +/-  (2.32e-114, 2.32e-114j)
| (0.99889643676084886135 - 3.6319248364821367943e-419j)  +/-  (8.71e-115, 8.71e-115j)
| (0.86633246790319379549 + 4.7939636226746395394e-427j)  +/-  (1.14e-115, 1.14e-115j)
| (-0.26123161566203463135 - 3.3510977140471017283e-441j)  +/-  (4.33e-124, 4.33e-124j)
| (-0.86633246790319379549 + 1.1212166277578928927e-430j)  +/-  (1.16e-115, 1.16e-115j)
| (-0.82060265915549183574 - 4.6435636738450726361e-432j)  +/-  (3.07e-116, 3.07e-116j)
| (0.57735026918962576451 - 2.9194727568382646267e-435j)  +/-  (1.9e-119, 1.9e-119j)
| (0.82060265915549183574 + 1.6033529777246022215e-430j)  +/-  (3.33e-116, 3.33e-116j)
| (0.93747741474498461095 - 1.2214897331188600471e-431j)  +/-  (7.93e-115, 7.93e-115j)
| (-0.96271923788205868743 + 7.799726259291675692e-443j)  +/-  (1.51e-114, 1.51e-114j)
| (-0.71021983147737219669 - 3.3374732056099213813e-446j)  +/-  (1.2e-117, 1.2e-117j)
| (-0.76844412093800005622 + 2.3486484543856459521e-446j)  +/-  (6.83e-117, 6.83e-117j)
| (0.42609429851921162076 + 4.0793853891614767434e-450j)  +/-  (1.3e-121, 1.3e-121j)
| (0.76844412093800005622 - 2.5149678885378726083e-444j)  +/-  (6.67e-117, 6.67e-117j)
| (0.34504441926732496581 + 6.0403086934856697694e-455j)  +/-  (7.79e-123, 7.79e-123j)
| (-0.42609429851921162076 - 4.5193183323939809194e-453j)  +/-  (1.25e-121, 1.25e-121j)
| (-0.57735026918962576451 + 2.5471167842263874363e-451j)  +/-  (1.82e-119, 1.82e-119j)
| (0.088015843352330596119 + 8.5836129178136172662e-458j)  +/-  (8.79e-127, 8.79e-127j)
| (0.71021983147737219669 + 6.2479268795353817476e-448j)  +/-  (1.15e-117, 1.15e-117j)
| (0.64635869649748109103 - 2.4300302318044237495e-450j)  +/-  (1.67e-118, 1.67e-118j)
| (-6.0674304370705131836e-461 - 2.1608864857687119419e-460j)  +/-  (8.3e-459, 8.3e-459j)
| (-0.64635869649748109103 + 3.2917338936160825364e-452j)  +/-  (1.81e-118, 1.81e-118j)
| (-0.17532617818214965681 - 4.1187260154634081845e-459j)  +/-  (2.05e-125, 2.05e-125j)
| (0.26123161566203463135 - 1.1794248957923326318e-456j)  +/-  (4.15e-124, 4.15e-124j)
| (0.50373499125992498521 - 1.6904745840395486215e-454j)  +/-  (1.66e-120, 1.66e-120j)
| (0.17532617818214965681 - 1.1149889808934519154e-459j)  +/-  (1.99e-125, 1.99e-125j)
| (-0.50373499125992498521 - 5.3331384604764856394e-457j)  +/-  (1.61e-120, 1.61e-120j)
| (-0.34504441926732496581 + 2.9280657450111935091e-461j)  +/-  (8.7e-123, 8.7e-123j)
| (0.96271923788205868743 - 6.1167848062504927455e-460j)  +/-  (1.51e-114, 1.51e-114j)
-------------------------------------------------
The weights are:
| (0.003009428328267453151 - 7.7667646267345053964e-395j)  +/-  (4.6e-21, 2.42e-74j)
| (0.0087249962844655449277 + 1.1077727572492327754e-394j)  +/-  (3.54e-21, 1.86e-74j)
| (0.028671021335803599014 - 1.7469257054386124799e-395j)  +/-  (2.95e-22, 1.55e-75j)
| (0.0087249962844655449277 - 7.1623364582832806681e-396j)  +/-  (1.07e-22, 5.63e-76j)
| (0.015188509583379510236 + 4.3755623852510748095e-395j)  +/-  (6.68e-23, 3.52e-76j)
| (0.035588295639434570855 - 6.6164454012296958497e-396j)  +/-  (1.09e-23, 5.72e-77j)
| (0.08778035693599923448 + 3.8948334376537591306e-397j)  +/-  (4.65e-24, 2.45e-77j)
| (0.035588295639434570855 + 1.1062545610229072305e-395j)  +/-  (1.02e-22, 5.34e-76j)
| (0.015188509583379510236 - 5.1048534356491345e-395j)  +/-  (4.07e-22, 2.14e-75j)
| (0.003009428328267453151 - 2.3924602720106282961e-395j)  +/-  (2.39e-23, 1.26e-76j)
| (0.042412373511019282416 + 4.2333095036198979638e-396j)  +/-  (2.64e-24, 1.39e-77j)
| (0.084972499211129849205 + 6.3769527581652174912e-397j)  +/-  (2.29e-25, 1.2e-78j)
| (0.042412373511019282416 - 7.4570278291775276573e-396j)  +/-  (1.06e-23, 5.6e-77j)
| (0.048998940576944625555 + 5.1984795315888629182e-396j)  +/-  (1.77e-24, 9.32e-78j)
| (0.071405611876733919409 - 6.2753048121521050188e-397j)  +/-  (1.76e-26, 9.28e-80j)
| (0.048998940576944625555 - 2.8080703109245880917e-396j)  +/-  (3.05e-25, 1.6e-78j)
| (0.028671021335803599014 + 1.0878376815588845694e-395j)  +/-  (1.79e-24, 9.4e-78j)
| (0.021839576554242112254 + 2.8764053345962320081e-395j)  +/-  (3.01e-23, 1.58e-76j)
| (0.061119503207563435586 + 2.7662413038161976511e-396j)  +/-  (1.64e-26, 8.62e-80j)
| (0.055257526503139870788 - 3.7404232709723087294e-396j)  +/-  (9.53e-26, 5.01e-79j)
| (0.079450666091502116192 - 2.5024239617302453067e-397j)  +/-  (4.9e-29, 2.57e-82j)
| (0.055257526503139870788 + 1.9107178799728446433e-396j)  +/-  (7.58e-28, 3.98e-81j)
| (0.08254127854553650692 + 1.1775359084499597867e-397j)  +/-  (1.97e-29, 1.04e-82j)
| (0.079450666091502116192 + 1.0034972198889158721e-396j)  +/-  (1.3e-29, 6.82e-83j)
| (0.071405611876733919409 + 1.6161172195023290548e-396j)  +/-  (3.84e-29, 2.02e-82j)
| (0.08778035693599923448 + 1.908953521717046931e-397j)  +/-  (1.19e-30, 6.26e-84j)
| (0.061119503207563435586 - 1.3200907224541322027e-396j)  +/-  (1.05e-29, 5.52e-83j)
| (0.066520993060990271659 + 9.154856250347326704e-397j)  +/-  (4.97e-30, 2.62e-83j)
| (0.088133640676764889652 - 2.8712136841380592982e-397j)  +/-  (5.3e-31, 2.79e-84j)
| (0.066520993060990271659 - 2.0940342277034742581e-396j)  +/-  (8.34e-31, 4.39e-84j)
| (0.0867236587918177246 - 5.0395579704031537903e-397j)  +/-  (3.81e-31, 2e-84j)
| (0.084972499211129849205 - 5.3882295408465138934e-399j)  +/-  (9.14e-32, 4.81e-85j)
| (0.075727943623647927927 + 4.1449189008779974638e-397j)  +/-  (1.23e-31, 6.44e-85j)
| (0.0867236587918177246 - 9.5292727238080708983e-398j)  +/-  (6.93e-32, 3.65e-85j)
| (0.075727943623647927927 - 1.2665035392699139869e-396j)  +/-  (1.7e-32, 8.93e-86j)
| (0.08254127854553650692 - 7.9997082809699969556e-397j)  +/-  (1.44e-32, 7.59e-86j)
| (0.021839576554242112254 - 1.9487569099262431145e-395j)  +/-  (8.28e-33, 4.02e-86j)
