Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 16 20
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 20 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^38 - 536111230656915522513849288468023312741957989709031138200067042440549/37608671004582230394743846909144862523665676591407548490924040459798*t^36 + 10389751289161822258970970390543663349697955654388848903998809771168283095/166719238563313027339899473348239175567409944329709662460266271358284534*t^34 - 230295590795155557360187686944205912568195504289475565947359313348202220865/1386218004557896430119863453224170487759793173482690829826969207307694482*t^32 + 441347134801433587963258738007787265668218656467006060179940851571951651273550/1462303486324195164824668216632587458241189563311103682954407533315244229133*t^30 - 99729268227898024626663571677029266041713137378704855674821860473286700731574/252121290745550890487011761488377147972618890226052359130070264364697280885*t^28 + 6232994701952284472594622538923543573576166919968632223315566903746324153823965826/16140608939192921469397003072449191830980860426468362879672219381088969602150345*t^26 - 6460378437805593496210887359291830718061261062277193205246513796734455730286729710/22596852514870090057155804301428868563373204597055708031541107133524557443010483*t^24 + 1689210353175614869859982565924625699077307833999860533340923892066055325439741750205/10434833502627618543350078151542435348329861131536029347956439081094101069661493041*t^22 - 227360268913134446017154205729686183005429996823260312906892522636255978169768233983275/3239270457315687870671388546185958858845826891261113110444191731888211660624917768299*t^20 + 1194791885372725442665333428009147955648479870905934680125296849833816117281494647101/51542859173933833927451714933191511829860158612477931989932059381330173302477271711*t^18 - 12770863994550535825439402124489012916485092236352540293042636936045017001809419988331/2216342944479154858880423742127235008683986820336551075567078553397197452006522683573*t^16 + 16399721655682413577292214702936394030340123141452133677082125396441609559815926429930/15514400611354084012162966194890645060787907742355857528969549873780382164045658785011*t^14 - 781586923501927314497587698089167565120678769398385259818092643449779244470488978710/5626101320600931564850306422322981175890120390085091191824122481700578147401172965993*t^12 + 1388956922829672279462715931389502681646120348311313932998200474436741536077757455950/110987635142763831779319681240371537742559647695314980784166779866275041635095866692771*t^10 - 775268422568939016759931709028476098616471120281503293160335869163151073277057149146/1072880473046717040533423585323591531511409927721378147580278872040658735805926711363453*t^8 + 43532213791685594653101876109927597521462494196641541654770919402508212141484433/1813830047416258732939008597334896925632138508404696783736735202097478843289816925382*t^6 - 115502770612195480104389166953162191785321619527557891256289287265631008286158685/306537278013347725866692452949597580431831407920393756451508249154473924515979060389558*t^4 + 12502067470602887465791360534756915331534549330581018016554350878507075459636745/7050357394306997694933926417840744349932122382169056398384689730552900263867518388959834*t^2 - 1241929895303352859318060108235254971843144714451271318815643485778654025/2597500092639420203396709732888695286817097719746494462562780427045805360372243616985202
-------------------------------------------------
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
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.99889518922023100372 + 4.4872151225097348491e-888j)  +/-  (2.12e-242, 2.12e-242j)
| (-0.99315423719328915677 + 1.605362576816078007e-895j)  +/-  (4.95e-242, 4.95e-242j)
| (-0.93747576101486460491 + 7.6896410343191490376e-899j)  +/-  (1.96e-242, 1.96e-242j)
| (0.99315423719328915677 + 2.5488516966820545801e-902j)  +/-  (4.86e-242, 4.86e-242j)
| (0.90534757705968229871 - 4.8577171001741265621e-920j)  +/-  (8.16e-243, 8.16e-243j)
| (0.93747576101486460491 + 2.8902064898386424301e-933j)  +/-  (1.95e-242, 1.95e-242j)
| (-0.82060265915549183574 + 3.9963703636708644739e-943j)  +/-  (7.89e-244, 7.89e-244j)
| (-0.90534757705968229871 + 4.129971246009020891e-941j)  +/-  (8.18e-243, 8.18e-243j)
| (-0.98122070968472125307 - 4.0893030225148283106e-941j)  +/-  (5.29e-242, 5.29e-242j)
| (0.99889518922023100372 - 1.3896671112008647449e-942j)  +/-  (2.16e-242, 2.16e-242j)
| (0.866333612216643084 - 6.5707212809366774552e-958j)  +/-  (2.77e-243, 2.77e-243j)
| (0.98122070968472125307 + 3.4579376350949147451e-974j)  +/-  (5.37e-242, 5.37e-242j)
| (-0.96271923788205868743 + 2.7966758520390101077e-988j)  +/-  (4.01e-242, 4.01e-242j)
| (-0.866333612216643084 - 1.9978037117354112348e-997j)  +/-  (2.74e-243, 2.74e-243j)
| (0.96271923788205868743 - 2.105674002948834233e-1005j)  +/-  (3.75e-242, 3.75e-242j)
| (0.76844326426255708331 + 9.9061950568531202634e-1014j)  +/-  (1.63e-244, 1.63e-244j)
| (0.82060265915549183574 + 1.6340282341509798404e-1017j)  +/-  (7.35e-244, 7.35e-244j)
| (-0.26123161566203463135 + 2.8691466062295226308e-1024j)  +/-  (9.62e-252, 9.62e-252j)
| (-0.71021983147737219669 + 3.7771044049088987329e-1017j)  +/-  (2.76e-245, 2.76e-245j)
| (-0.50373426136151781733 + 5.2942865438869579297e-1021j)  +/-  (3.94e-248, 3.94e-248j)
| (0.26123161566203463135 - 4.5027536161532219235e-1026j)  +/-  (9.77e-252, 9.77e-252j)
| (0.71021983147737219669 + 1.0171830451233867726e-1020j)  +/-  (3.01e-245, 3.01e-245j)
| (0.17532458744680420264 + 1.9925939176286431429e-1027j)  +/-  (4.15e-253, 4.15e-253j)
| (-0.57735026918962576451 + 2.9201171541896822878e-1021j)  +/-  (4.15e-247, 4.15e-247j)
| (-0.76844326426255708331 + 2.5807381837571371053e-1019j)  +/-  (1.59e-244, 1.59e-244j)
| (-0.00051927551375337334364 + 4.697854910635142408e-1029j)  +/-  (6.05e-257, 6.05e-257j)
| (0.64635942740932635462 - 3.6085027572752715625e-1023j)  +/-  (3.8e-246, 3.8e-246j)
| (0.34504531462116135922 + 1.8028850342168779166e-1026j)  +/-  (1.88e-250, 1.88e-250j)
| (-0.088015843352330596119 + 1.5540361966530721406e-1029j)  +/-  (1.91e-254, 1.91e-254j)
| (-0.64635942740932635462 - 6.2874076041679245667e-1024j)  +/-  (3.71e-246, 3.71e-246j)
| (-0.17532458744680420264 - 3.2375151828744028243e-1031j)  +/-  (4.15e-253, 4.15e-253j)
| (0.42609429851921162076 - 3.5600997541332454977e-1026j)  +/-  (2.96e-249, 2.96e-249j)
| (0.57735026918962576451 - 1.8612683339901919191e-1028j)  +/-  (4.36e-247, 4.36e-247j)
| (0.00051927551375337334364 - 4.7436205769177140966e-1035j)  +/-  (6.05e-257, 6.05e-257j)
| (-0.42609429851921162076 + 8.2641612870051226502e-1029j)  +/-  (3.06e-249, 3.06e-249j)
| (-0.34504531462116135922 - 8.0649401592224559455e-1029j)  +/-  (1.87e-250, 1.87e-250j)
| (0.088015843352330596119 - 1.9114240057068473504e-1033j)  +/-  (1.91e-254, 1.91e-254j)
| (0.50373426136151781733 + 5.4764481400043738502e-1028j)  +/-  (3.68e-248, 3.68e-248j)
-------------------------------------------------
The weights are:
| (0.0030110526500433214697 + 4.509018577553604648e-888j)  +/-  (2.2e-76, 3.79e-193j)
| (0.0087215940966932321492 - 6.4436625673971121466e-888j)  +/-  (1.79e-76, 3.08e-193j)
| (0.028670719299803020294 + 1.0914227921072747634e-888j)  +/-  (2.23e-77, 3.85e-194j)
| (0.0087215940966932321492 + 1.8570200093123307433e-890j)  +/-  (8.49e-79, 1.46e-195j)
| (0.035586141556684868952 + 3.6091727700194899914e-890j)  +/-  (9.74e-79, 1.68e-195j)
| (0.028670719299803020294 - 3.4618658201873464522e-890j)  +/-  (1.08e-78, 1.86e-195j)
| (0.049000473357114780591 - 3.8982373796218409347e-889j)  +/-  (1e-78, 1.72e-195j)
| (0.035586141556684868952 - 7.346784129533445608e-889j)  +/-  (3.46e-78, 5.97e-195j)
| (0.015188667115426000796 + 3.0023810981940424968e-888j)  +/-  (1.12e-77, 1.92e-194j)
| (0.0030110526500433214697 - 6.7630921739262616672e-891j)  +/-  (9.14e-80, 1.57e-196j)
| (0.042412570214175141683 - 3.7084016110223848435e-890j)  +/-  (1.1e-80, 1.89e-197j)
| (0.015188667115426000796 - 2.6799201132630714123e-890j)  +/-  (6.01e-80, 1.03e-196j)
| (0.021842649510941084641 - 1.7257954584037138525e-888j)  +/-  (3.71e-79, 6.39e-196j)
| (0.042412570214175141683 + 5.2179655958173338147e-889j)  +/-  (2.47e-80, 4.25e-197j)
| (0.021842649510941084641 + 3.1826995205632461917e-890j)  +/-  (2.68e-80, 4.62e-197j)
| (0.05525742862546656928 - 3.983290096773284072e-890j)  +/-  (2.21e-83, 3.81e-200j)
| (0.049000473357114780591 + 3.8198814393041067983e-890j)  +/-  (1.54e-82, 2.64e-199j)
| (0.084974248861462859281 - 2.1560279155359558982e-889j)  +/-  (1.49e-86, 2.57e-203j)
| (0.061118282312378319605 - 2.5048447201450137713e-889j)  +/-  (7.98e-85, 1.37e-201j)
| (0.075727976201895542026 + 1.8055063664123473684e-889j)  +/-  (5.95e-86, 1.02e-202j)
| (0.084974248861462859281 + 1.2621136626076703504e-889j)  +/-  (1.43e-87, 2.47e-204j)
| (0.061118282312378319605 + 4.2307681892617409535e-890j)  +/-  (7.25e-86, 1.25e-202j)
| (0.086724391914163034191 - 1.9883044282069568709e-889j)  +/-  (1.01e-87, 1.74e-204j)
| (0.071406734574366956424 - 1.9231338199340142204e-889j)  +/-  (4.31e-87, 7.42e-204j)
| (0.05525742862546656928 + 3.0547897375275804069e-889j)  +/-  (4.85e-86, 8.34e-203j)
| (0.044069980851874047955 + 3.9012734482533381826e-887j)  +/-  (1.38e-88, 2.38e-205j)
| (0.066521024141306252896 - 4.5994603106095682527e-890j)  +/-  (1.58e-88, 2.72e-205j)
| (0.082541125939607100905 - 9.1488817446403455991e-890j)  +/-  (2.62e-89, 4.51e-206j)
| (0.087775503735903235253 - 5.0604898942834840193e-889j)  +/-  (1.39e-89, 2.39e-206j)
| (0.066521024141306252896 + 2.1465292676884225721e-889j)  +/-  (1.06e-88, 1.81e-205j)
| (0.086724391914163034191 + 2.8348588165041926518e-889j)  +/-  (8.21e-90, 1.41e-206j)
| (0.079449435040694631607 + 7.1777718211295155263e-890j)  +/-  (9.56e-91, 1.64e-207j)
| (0.071406734574366956424 + 5.1431538680407608773e-890j)  +/-  (1.11e-90, 1.91e-207j)
| (0.044069980851874047955 - 3.8972194029194386287e-887j)  +/-  (1e-88, 1.73e-205j)
| (0.079449435040694631607 - 1.7856552868931817649e-889j)  +/-  (2.08e-91, 3.58e-208j)
| (0.082541125939607100905 + 1.8804856002937340895e-889j)  +/-  (1.8e-91, 3.1e-208j)
| (0.087775503735903235253 + 4.2409135492390053385e-889j)  +/-  (2.66e-91, 4.63e-208j)
| (0.075727976201895542026 - 5.9496784624156441653e-890j)  +/-  (3.64e-92, 6e-209j)
