Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 14 18
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Trying to find an order 14 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P2 : 5/2*t^17 - 2660449/261516*t^15 + 1384565/81548*t^13 - 340471495/22751892*t^11 + 17578561/2353644*t^9 - 366222857/174431172*t^7 + 90173083/290718620*t^5 - 202159529/9942576804*t^3 + 1267981/3314192268*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^35 - 45493194219318860710962096802101601694183499955596747291761953784623/2106417718097572147346761900735350815366527917701412909125307956580*t^33 + 8676599689047613091834778249645188753332837520666119990071893838715507/101810189708049320455093491868875289409382182688901623941056551234700*t^31 - 15633488572873226115287510208430596557709132454074235488506889349348837/76850272231237228988683474507473605554178808868396709684539461254580*t^29 + 4251164380954212385793232833709899609256736301139641604617653128363186848441/12964707175644402631450375152406062320443029003347549403703948958010796500*t^27 - 181175408917938605927512916688817295737843974212264641751391353356539939463/480174339838681578942606487126150456312704777901761089026072183630029500*t^25 + 229351435598921337608049688875346161249539599330203567598924747632177053162469/717860638058828960519196698253594932187493642963132828093977914526894102500*t^23 - 4380062252248397918564725820820341669498756493424016370922982958148301277264248071/21656326094962483538035232184649462314893327243480100314526765641371533428467500*t^21 + 67324767670533742634175845668384814570298030115392692836321659643305273936404807801/699269283982030375046815280980531173281262562825190784881148128676520392571212500*t^19 - 213875664565132865540439930592005149192844369506161458414284789347709330926735558933/6219816262787533335942725393984724646554388058813539086574422828754312965501837500*t^17 + 220452015936477321255861330509681653721047781435989239344810803534793411953130305119209/24163986180929567010137488155630655251863797608490599351341632689710505870974638687500*t^15 - 31252311563683361512302732936311099639289369219112431880048784057219270390543596237/17702553978702979494606218429033447070962489090469303554096434204916121517197537500*t^13 + 398522143663527737959253581154275021587029690063042192136517840081933108118922946277/1646337520019377092998378313900110577599511485413645230530968381057199301099370987500*t^11 - 3224431441305436310339524565757653285154812175772656076436727075493823394929611901351/143231364241685807090858913309309620251157499230987135056194249151976339195645275912500*t^9 + 3440403579280576452391342679005460062969809957068589107457300808306907088171138583/2590748190418089533943184478462964707385277763867984355021601405849701225761025662500*t^7 - 17735150630130393813259847707160947979512954948733219877687919535964797764634385051/397864900671349464141274759192526722919881942308297597378317358755489831099014655312500*t^5 + 166910549683047673135620295270599670913222045931746375398947160924047044413965839/238718940402809678484764855515516033751929165384978558426990415253293898659408793187500*t^3 - 20785772712040510536590963891265135415594240262513719555219911090575868286720993/6405624900808726372674523622999680239010099271163591317790909475963386280694135950531250*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:
| (-0.99019766197072609084 + 2.2498418282973723199e-428j)  +/-  (7.03e-116, 7.03e-116j)
| (-0.99836642247404916154 - 1.7778633018799993919e-435j)  +/-  (2.96e-116, 2.96e-116j)
| (-0.91606766601178423073 + 7.9449210496913778086e-441j)  +/-  (2.94e-116, 2.94e-116j)
| (0.99836642247404916154 - 7.9845830470791207167e-441j)  +/-  (2.78e-116, 2.78e-116j)
| (0.87596047095189233297 - 1.2016090270686774443e-444j)  +/-  (1.37e-116, 1.37e-116j)
| (0.91606766601178423073 - 1.3550392624653458267e-445j)  +/-  (3.21e-116, 3.21e-116j)
| (0.99019766197072609084 + 1.0221652461707803085e-443j)  +/-  (6.78e-116, 6.78e-116j)
| (-0.87596047095189233297 - 6.6963111283964209657e-445j)  +/-  (1.35e-116, 1.35e-116j)
| (-0.086969031892430042525 - 2.2983862986308871911e-460j)  +/-  (7.8e-127, 7.8e-127j)
| (0.94877482450512284824 - 1.6385923844244758561e-448j)  +/-  (5.57e-116, 5.57e-116j)
| (0.82867987754516479349 + 3.5643976234959150603e-452j)  +/-  (5.21e-117, 5.21e-117j)
| (0.97366729443013097759 + 5.7802412514784128809e-451j)  +/-  (7.6e-116, 7.6e-116j)
| (-0.94877482450512284824 - 6.1486139638580306455e-449j)  +/-  (5.62e-116, 5.62e-116j)
| (-0.82867987754516479349 + 3.0346739858302456106e-461j)  +/-  (4.47e-117, 4.47e-117j)
| (-0.42427168761204144756 - 5.8208409535827168358e-469j)  +/-  (6.82e-122, 6.82e-122j)
| (0.77459666924148337704 - 2.6286072157834471187e-465j)  +/-  (1.32e-117, 1.32e-117j)
| (0.64864218740590021505 - 1.2724627039041788005e-466j)  +/-  (4.68e-119, 4.68e-119j)
| (-0.34279295004606064304 + 1.3368717115639075482e-470j)  +/-  (5.14e-123, 5.14e-123j)
| (-0.77459666924148337704 + 1.9271751258517806976e-464j)  +/-  (1.29e-117, 1.29e-117j)
| (-0.97366729443013097759 - 3.8396919435945538932e-474j)  +/-  (7.88e-116, 7.88e-116j)
| (0.42427168761204144756 + 5.9639428425900537529e-497j)  +/-  (6.9e-122, 6.9e-122j)
| (0.7143579850260688937 - 9.8034296534455738798e-496j)  +/-  (2.84e-118, 2.84e-118j)
| (0.17354320230221835952 + 1.5596954003887619385e-498j)  +/-  (1.65e-125, 1.65e-125j)
| (-0.7143579850260688937 + 5.0619431922683937401e-492j)  +/-  (2.85e-118, 2.85e-118j)
| (-0.57797891169989256352 + 2.260228766761735729e-493j)  +/-  (6.78e-120, 6.78e-120j)
| (0.086969031892430042525 - 1.6375909996039092982e-501j)  +/-  (7.8e-127, 7.8e-127j)
| (0.57797891169989256352 - 7.8453122252124001993e-497j)  +/-  (6.48e-120, 6.48e-120j)
| (0.34279295004606064304 - 7.357680847904961554e-500j)  +/-  (4.26e-123, 4.26e-123j)
| (-0.17354320230221835952 + 7.4308475106092903366e-501j)  +/-  (1.71e-125, 1.71e-125j)
| (-0.64864218740590021505 - 4.7614494111400692776e-498j)  +/-  (5.12e-119, 5.12e-119j)
| (-0.25904984238103233577 - 4.4541871990974816789e-504j)  +/-  (3.19e-124, 3.19e-124j)
| (0.25904984238103233577 - 9.0501734091659621866e-505j)  +/-  (2.82e-124, 2.82e-124j)
| (0.5029301319296336391 + 1.0923305857810508392e-502j)  +/-  (7.43e-121, 7.43e-121j)
| (3.1992486779076240901e-507 + 9.1103742537096828467e-507j)  +/-  (3.38e-505, 3.38e-505j)
| (-0.5029301319296336391 + 4.642662182978984969e-501j)  +/-  (7.81e-121, 7.81e-121j)
-------------------------------------------------
The weights are:
| (0.01224379049299727679 + 6.9149566793139185843e-429j)  +/-  (9.08e-22, 8.12e-76j)
| (0.0043936624925644223573 + 1.1411112045900388561e-428j)  +/-  (6.64e-22, 5.94e-76j)
| (0.03645251440178323903 - 1.1462320891446270694e-428j)  +/-  (2.02e-22, 1.8e-76j)
| (0.0043936624925644223573 - 4.6875363679256148873e-431j)  +/-  (1.21e-23, 1.09e-77j)
| (0.043731655997158962136 + 5.7460407143472970178e-430j)  +/-  (1.1e-23, 9.87e-78j)
| (0.03645251440178323903 - 4.4574162664880211256e-430j)  +/-  (1.04e-23, 9.29e-78j)
| (0.01224379049299727679 + 1.3909644176301139745e-430j)  +/-  (5.39e-24, 4.82e-78j)
| (0.043731655997158962136 + 9.3866283471728029024e-429j)  +/-  (2.92e-25, 2.61e-79j)
| (0.086860742863847169506 - 4.6797667212542305937e-429j)  +/-  (3.03e-26, 2.71e-80j)
| (0.028891893604515326104 + 3.311361151174563999e-430j)  +/-  (1.53e-24, 1.37e-78j)
| (0.050770407322965838879 - 7.1936145392806697775e-430j)  +/-  (9.14e-26, 8.17e-80j)
| (0.020791200379880574772 - 2.3102440491824053527e-430j)  +/-  (1.54e-24, 1.37e-78j)
| (0.028891893604515326104 + 1.5500237239840707358e-428j)  +/-  (1.14e-26, 1.02e-80j)
| (0.050770407322965838879 - 8.1008440724557233878e-429j)  +/-  (1.45e-27, 1.3e-81j)
| (0.080183049269705566871 - 5.6259451098312782951e-429j)  +/-  (3.89e-29, 3.48e-83j)
| (0.057282620669835193631 + 8.8741314803040179289e-430j)  +/-  (3.34e-27, 2.98e-81j)
| (0.068269897470872984073 + 1.3190251982169398714e-429j)  +/-  (1.27e-28, 1.14e-82j)
| (0.082685933410193243288 + 5.4454938450062265524e-429j)  +/-  (1.89e-29, 1.69e-83j)
| (0.057282620669835193631 + 7.2638890437396810177e-429j)  +/-  (7.4e-29, 6.62e-83j)
| (0.020791200379880574772 - 2.7446499261136570387e-428j)  +/-  (1.33e-27, 1.19e-81j)
| (0.080183049269705566871 - 2.250927862926759513e-429j)  +/-  (7.92e-31, 7.08e-85j)
| (0.063077664533151376744 - 1.0864287604273736845e-429j)  +/-  (7.35e-29, 6.58e-83j)
| (0.086169036315803130164 + 3.4921957592003952944e-429j)  +/-  (1.3e-31, 1.16e-85j)
| (0.063077664533151376744 - 6.713603697042669681e-429j)  +/-  (1.9e-30, 1.7e-84j)
| (0.072967380777519177807 - 6.036283674324825575e-429j)  +/-  (2.68e-31, 2.4e-85j)
| (0.086860742863847169506 - 3.9240902167828303613e-429j)  +/-  (6.29e-32, 5.63e-86j)
| (0.072967380777519177807 - 1.5867277685791828311e-429j)  +/-  (2.34e-31, 2.09e-85j)
| (0.082685933410193243288 + 2.6447585932804822114e-429j)  +/-  (4.58e-32, 4.09e-86j)
| (0.086169036315803130164 + 4.9764142740051195252e-429j)  +/-  (8.53e-33, 7.63e-87j)
| (0.068269897470872984073 + 6.3289017884861792433e-429j)  +/-  (1.17e-32, 1.04e-86j)
| (0.084723058857936827001 - 5.2314990686352824998e-429j)  +/-  (5.89e-33, 5.27e-87j)
| (0.084723058857936827001 - 3.0618425294839711966e-429j)  +/-  (2.6e-33, 2.33e-87j)
| (0.076996418702398201786 + 1.8957400731299935101e-429j)  +/-  (2.37e-33, 2.12e-87j)
| (0.087018144873742978121 + 4.3290872453078128182e-429j)  +/-  (1.51e-33, 1.37e-87j)
| (0.076996418702398201786 + 5.809092574555087733e-429j)  +/-  (7.33e-34, 6.19e-88j)
