Starting with polynomial:
P : t
Extension levels are: 1 2 14 18
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P3 : t^17 - 2660449/653790*t^15 + 276913/40774*t^13 - 68094299/11375946*t^11 + 17578561/5884110*t^9 - 366222857/436077930*t^7 + 90173083/726796550*t^5 - 202159529/24856442010*t^3 + 1267981/8285480670*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 45493194219318860710962096802101601694183499955596747291761953784623/5266044295243930368366904751838377038416319794253532272813269891450*t^33 + 8676599689047613091834778249645188753332837520666119990071893838715507/254525474270123301137733729672188223523455456722254059852641378086750*t^31 - 15633488572873226115287510208430596557709132454074235488506889349348837/192125680578093072471708686268684013885447022170991774211348653136450*t^29 + 4251164380954212385793232833709899609256736301139641604617653128363186848441/32411767939111006578625937881015155801107572508368873509259872395026991250*t^27 - 181175408917938605927512916688817295737843974212264641751391353356539939463/1200435849596703947356516217815376140781761944754402722565180459075073750*t^25 + 229351435598921337608049688875346161249539599330203567598924747632177053162469/1794651595147072401297991745633987330468734107407832070234944786317235256250*t^23 - 4380062252248397918564725820820341669498756493424016370922982958148301277264248071/54140815237406208845088080461623655787233318108700250786316914103428833571168750*t^21 + 67324767670533742634175845668384814570298030115392692836321659643305273936404807801/1748173209955075937617038202451327933203156407062976962202870321691300981428031250*t^19 - 213875664565132865540439930592005149192844369506161458414284789347709330926735558933/15549540656968833339856813484961811616385970147033847716436057071885782413754593750*t^17 + 220452015936477321255861330509681653721047781435989239344810803534793411953130305119209/60409965452323917525343720389076638129659494021226498378354081724276264677436596718750*t^15 - 31252311563683361512302732936311099639289369219112431880048784057219270390543596237/44256384946757448736515546072583617677406222726173258885241085512290303792993843750*t^13 + 398522143663527737959253581154275021587029690063042192136517840081933108118922946277/4115843800048442732495945784750276443998778713534113076327420952642998252748427468750*t^11 - 3224431441305436310339524565757653285154812175772656076436727075493823394929611901351/358078410604214517727147283273274050627893748077467837640485622879940847989113189781250*t^9 + 3440403579280576452391342679005460062969809957068589107457300808306907088171138583/6476870476045223834857961196157411768463194409669960887554003514624253064402564156250*t^7 - 17735150630130393813259847707160947979512954948733219877687919535964797764634385051/994662251678373660353186897981316807299704855770743993445793396888724577747536638281250*t^5 + 166910549683047673135620295270599670913222045931746375398947160924047044413965839/596797351007024196211912138788790084379822913462446396067476038133234746648521982968750*t^3 - 20785772712040510536590963891265135415594240262513719555219911090575868286720993/16014062252021815931686309057499200597525248177908978294477273689908465701735339876328125*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 + 2.3496826611413445467e-428j)  +/-  (7.53e-116, 7.53e-116j)
| (-0.99836642247404916154 - 1.0038746626265966748e-432j)  +/-  (3.09e-116, 3.09e-116j)
| (-0.91606766601178423073 + 1.6178270801519576024e-439j)  +/-  (3.24e-116, 3.24e-116j)
| (0.99836642247404916154 + 3.3251318838377475084e-439j)  +/-  (3.09e-116, 3.09e-116j)
| (0.87596047095189233297 + 8.1595803401458088478e-445j)  +/-  (1.42e-116, 1.42e-116j)
| (0.91606766601178423073 - 9.0482736855422182889e-444j)  +/-  (3.29e-116, 3.29e-116j)
| (0.99019766197072609084 + 8.8249606609836739815e-443j)  +/-  (6.7e-116, 6.7e-116j)
| (-0.87596047095189233297 - 2.7792710643925484324e-443j)  +/-  (1.48e-116, 1.48e-116j)
| (-0.086969031892430042525 + 7.1735627837790047489e-459j)  +/-  (9.57e-127, 9.57e-127j)
| (0.94877482450512284824 - 7.0295505297481974144e-447j)  +/-  (5.8e-116, 5.8e-116j)
| (0.82867987754516479349 + 1.6230801705741570404e-450j)  +/-  (4.72e-117, 4.72e-117j)
| (0.97366729443013097759 + 1.7335041840549288833e-449j)  +/-  (8.68e-116, 8.68e-116j)
| (-0.94877482450512284824 + 8.5412018387806439334e-448j)  +/-  (5.29e-116, 5.29e-116j)
| (-0.82867987754516479349 + 1.3906416551129848525e-458j)  +/-  (5.06e-117, 5.06e-117j)
| (-0.42427168761204144756 + 7.946392915511367259e-468j)  +/-  (6.36e-122, 6.36e-122j)
| (0.77459666924148337704 + 1.4674915895814279746e-463j)  +/-  (1.33e-117, 1.33e-117j)
| (0.64864218740590021505 + 4.7448334505912587838e-465j)  +/-  (5.04e-119, 5.04e-119j)
| (-0.34279295004606064304 + 7.3467297436981155466e-469j)  +/-  (5e-123, 5e-123j)
| (-0.77459666924148337704 - 1.5531822112441489533e-463j)  +/-  (1.34e-117, 1.34e-117j)
| (-0.97366729443013097759 + 4.8095762413807481799e-475j)  +/-  (7.15e-116, 7.15e-116j)
| (0.42427168761204144756 - 1.8211233799929322894e-495j)  +/-  (6.13e-122, 6.13e-122j)
| (0.7143579850260688937 - 3.3757354390642859033e-492j)  +/-  (2.76e-118, 2.76e-118j)
| (0.17354320230221835952 - 6.5557847465950529818e-499j)  +/-  (1.74e-125, 1.74e-125j)
| (-0.7143579850260688937 + 2.1514877837862193439e-491j)  +/-  (2.58e-118, 2.58e-118j)
| (-0.57797891169989256352 - 3.134328487713360378e-494j)  +/-  (5.86e-120, 5.86e-120j)
| (0.086969031892430042525 + 1.5079115175103723005e-501j)  +/-  (9.57e-127, 9.57e-127j)
| (0.57797891169989256352 - 7.2625299024097405042e-496j)  +/-  (5.82e-120, 5.82e-120j)
| (0.34279295004606064304 - 1.0471208761292072657e-498j)  +/-  (5.57e-123, 5.57e-123j)
| (-0.17354320230221835952 + 2.6262605968000908091e-500j)  +/-  (1.63e-125, 1.63e-125j)
| (-0.64864218740590021505 - 1.5322366494354746218e-497j)  +/-  (4.93e-119, 4.93e-119j)
| (-0.25904984238103233577 - 3.1018470925976122051e-503j)  +/-  (3.5e-124, 3.5e-124j)
| (0.25904984238103233577 + 4.0914573689331415376e-503j)  +/-  (3.57e-124, 3.57e-124j)
| (0.5029301319296336391 + 2.0407018260052080174e-501j)  +/-  (6.1e-121, 6.1e-121j)
| (-8.2997731905400513598e-508 - 2.3635054534596920104e-507j)  +/-  (8.77e-506, 8.77e-506j)
| (-0.5029301319296336391 + 5.0074649692948750838e-501j)  +/-  (6.48e-121, 6.48e-121j)
-------------------------------------------------
The weights are:
| (0.01224379049299727679 + 7.2234131729612763791e-429j)  +/-  (9.08e-22, 8.64e-76j)
| (0.0043936624925644223573 + 1.1916430417598367351e-428j)  +/-  (6.64e-22, 6.32e-76j)
| (0.03645251440178323903 - 1.1971469908962534312e-428j)  +/-  (2.02e-22, 1.92e-76j)
| (0.0043936624925644223573 - 4.8957748631489282757e-431j)  +/-  (1.21e-23, 1.15e-77j)
| (0.043731655997158962136 + 6.0013019508213577298e-430j)  +/-  (1.1e-23, 1.05e-77j)
| (0.03645251440178323903 - 4.6554318667828724419e-430j)  +/-  (1.04e-23, 9.88e-78j)
| (0.01224379049299727679 + 1.4527564303341718256e-430j)  +/-  (5.39e-24, 5.13e-78j)
| (0.043731655997158962136 + 9.8035908375758725104e-429j)  +/-  (2.92e-25, 2.78e-79j)
| (0.086860742863847169506 - 4.8876589456250461513e-429j)  +/-  (3.03e-26, 2.89e-80j)
| (0.028891893604515326104 + 3.4584645807591664436e-430j)  +/-  (1.53e-24, 1.45e-78j)
| (0.050770407322965838879 - 7.5131825357698413208e-430j)  +/-  (9.14e-26, 8.69e-80j)
| (0.020791200379880574772 - 2.4128740044774148938e-430j)  +/-  (1.54e-24, 1.46e-78j)
| (0.028891893604515326104 + 1.6188700014281744926e-428j)  +/-  (1.14e-26, 1.08e-80j)
| (0.050770407322965838879 - 8.460697981069210127e-429j)  +/-  (1.45e-27, 1.38e-81j)
| (0.080183049269705566871 - 5.8758686133600141921e-429j)  +/-  (3.89e-29, 3.7e-83j)
| (0.057282620669835193631 + 9.2683544384769367201e-430j)  +/-  (3.34e-27, 3.17e-81j)
| (0.068269897470872984073 + 1.377621334786005647e-429j)  +/-  (1.27e-28, 1.21e-82j)
| (0.082685933410193243288 + 5.6874015480717834686e-429j)  +/-  (1.89e-29, 1.8e-83j)
| (0.057282620669835193631 + 7.5865679123820618569e-429j)  +/-  (7.4e-29, 7.04e-83j)
| (0.020791200379880574772 - 2.8665355276471208775e-428j)  +/-  (1.33e-27, 1.27e-81j)
| (0.080183049269705566871 - 2.3509225914930223796e-429j)  +/-  (7.92e-31, 7.53e-85j)
| (0.063077664533151376744 - 1.1346920847481597902e-429j)  +/-  (7.35e-29, 7e-83j)
| (0.086169036315803130164 + 3.6473320994494907395e-429j)  +/-  (1.3e-31, 1.23e-85j)
| (0.063077664533151376744 - 7.0118400641218210864e-429j)  +/-  (1.9e-30, 1.81e-84j)
| (0.072967380777519177807 - 6.3044343210417286862e-429j)  +/-  (2.68e-31, 2.55e-85j)
| (0.086860742863847169506 - 4.0984128141106967116e-429j)  +/-  (6.29e-32, 5.99e-86j)
| (0.072967380777519177807 - 1.6572162589747644258e-429j)  +/-  (2.34e-31, 2.23e-85j)
| (0.082685933410193243288 + 2.7622487287443485113e-429j)  +/-  (4.58e-32, 4.35e-86j)
| (0.086169036315803130164 + 5.1974844383180099277e-429j)  +/-  (8.53e-33, 8.11e-87j)
| (0.068269897470872984073 + 6.6100502756869412371e-429j)  +/-  (1.17e-32, 1.11e-86j)
| (0.084723058857936827001 - 5.4639007310730690224e-429j)  +/-  (5.89e-33, 5.61e-87j)
| (0.084723058857936827001 - 3.1978610452320743285e-429j)  +/-  (2.6e-33, 2.48e-87j)
| (0.076996418702398201786 + 1.9799560437243131579e-429j)  +/-  (2.37e-33, 2.25e-87j)
| (0.087018144873742978121 + 4.5214011741107779425e-429j)  +/-  (1.51e-33, 1.46e-87j)
| (0.076996418702398201786 + 6.0671514878876952091e-429j)  +/-  (7.33e-34, 6.58e-88j)
