Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 4 8 16
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : 5/2*t^7 - 77/18*t^5 + 3745/1782*t^3 - 155/594*t
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P3 : 5/2*t^15 - 646576627207/65912582718*t^13 + 1719421754504545/110930876714394*t^11 - 36142899049575851/2874118169418390*t^9 + 1577324700316391/285731046082530*t^7 - 3801532399394821/3016049930871150*t^5 + 2102662882898711/16286669626704210*t^3 - 233879228435939/59717788631248770*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^31 - 155916139588817243891959052654583117738393521847730782981572197498621478586496362545794586217855894033746656140115105462579433822004416967701956723/7470899176454772391408668277616395544608563638065983644815949582444193337746324965024933667194737553665712422935803539650369519666543941679936102*t^29 + 90292304513854098716079175580548375919231361266147389133386089858191488657146276835496833918243274388174315734776497331531222121685257786700586066403/1143047573997580175885526246475308518325110236624095497656840286113961580675187719648814851080794845710854000709177941566506536508981223077030223606*t^27 - 27620793788174979448892855572678355480810892161154588606061354106275081569365572102174346947619258395610096541762701583002202904503650548477356856070380571/154088528212743795610248365656103964812816485448111193561630354769592590882918680547258485999946549176051673565600732412872913654093213776899059293206830*t^25 + 2135088493672042312739059355433458542520513393807410162361524572495654866371918365366677014969942541349959096121181823091997553355562315894623842960155742549/7858514938849933576122666648461302205453640757853670871643148093249222135028852707910182785997274007978635351845637353056518596358753902621852023953548330*t^23 - 135126553171721132780162950722178688200894696147796948725944801845431716416006361286457846990244483437320977560830719747898036010673472383109130239113795643/465919858034581042062608694572804478584207950070375743378052258493036885476018935251591864782447075571855850899938973501374620337475527823429961894479150*t^21 + 772283689112101626291664975345527444055987933554530384588205990619202573436253115648102772111299097140150533530438536653887554689360445249765241486674655907/3447806949455899711263304339838753141523138830520780500997586712848472952522540120861779799390108359231733296659548403910172190497318905893381718019145710*t^19 - 1722734140647064807658239355186402868484460131858805163487435205433741850135663414751786483890192597915123501257577889105263822472840161786275477904503793879/13609764274168025176039359236205604506012390120476765135516789655980814286273184687612288681803059312756841960498217383855942857226258839052822571128206750*t^17 + 56665765613227314251156669284047326908092809982722784219259649182959153051421933690938506398136476583061489273979971124956559874215110686775481775680226914537/1083177121349961062540073708622716640978515519588533131079659788502473042901624640137613328616443485303529833679652242373946510931007541719909937572733160750*t^15 - 1129122296629888099534605029770030690561849155395573867774550672131463564315975830380537043905856777985297989836778691135350076324785061787278355128482102267/72211808089997404169338247241514442731901034639235542071977319233498202860108309342507555241096232353568655578643482824929767395400502781327329171515544050*t^13 + 14029613917698200029008810985054130580363974261030057720850399201807450013261755911581702279734918416916053477267692082488568860434976043373083478099575923/4247753417058670833490485131853790748935354978778561298351607013735188403535782902500444425946837197268744445802557813231162787964735457725137010089149650*t^11 - 16816092000507475598130501233329041372181825175382183446324147422023376257732386674413241650025596108755177544834640516200708172868154420706315284822693203/35449433062362362046766048645834362795660507913806538835334320350990026858598624586321890754719968609933703647697709750420067630469337729015234320562176170*t^9 + 498446629819059792003359336171205612244082667717346726162172139898929839318035479226413997502248862995141399350250049010090708589286421004911669545408681/11450075278540814614588517004468463435290861729265677918389638356262928571898780551137561613281643607859723400419156896130512800539191772937737183644113750*t^7 - 26058335908735976303001340212800536330194408123856927215922032929661142783444318392183958654437740274727342631672404138801820811803278545788969065180999153/11324124450476865653828043317419310337502662250243755461287352334344036357607893965075048435535545528173266443014546170273077159733260663435422074624028498750*t^5 + 4323021104980617385207915209872404554439860705243889139229355013820142317685034855004468686366247017917990318782711215848105716317590393816353209545444309/74739221373147313315265085894967448227517570851608786044496525406670639960212100169495319674534600485943558523896004723802309254239520378673785692518588091750*t^3 - 9065800953531016069547766548808764485349323474853095849853238320490190021022665519228143109609326811980450021495639687149020343248538722101275089983679/20580365305649260188261400463831616178591794872182129490513535981546987815130868162614653243712426220767066839913392605104983707689143292678288813881930054250*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:
| (-0.99909812496766759766 + 2.1379596780649737214e-430j)  +/-  (4.21e-116, 4.21e-116j)
| (-0.99383196321275502221 - 1.2270029475878042646e-433j)  +/-  (9.23e-116, 9.23e-116j)
| (-0.92965485742974005667 + 3.0001153618764823416e-436j)  +/-  (1.42e-116, 1.42e-116j)
| (0.99909812496766759766 - 4.1035109755365803795e-432j)  +/-  (4.58e-116, 4.58e-116j)
| (0.92965485742974005667 - 9.2816338735492785409e-442j)  +/-  (1.24e-116, 1.24e-116j)
| (0.96049126870802028342 + 1.1540854161263649668e-444j)  +/-  (3.53e-116, 3.53e-116j)
| (0.99383196321275502221 + 3.9009112691998613515e-459j)  +/-  (9.12e-116, 9.12e-116j)
| (-0.8367259381688687355 + 1.1467103669144931006e-475j)  +/-  (8.13e-118, 8.13e-118j)
| (-0.98153114955374010687 + 5.1746752556756194417e-473j)  +/-  (7.07e-116, 7.07e-116j)
| (0.98153114955374010687 - 9.4041148721288175885e-480j)  +/-  (7.43e-116, 7.43e-116j)
| (0.8367259381688687355 - 2.8260963129311077691e-490j)  +/-  (8.02e-118, 8.02e-118j)
| (0.88845923287225699889 + 5.0685639658325775154e-491j)  +/-  (3.49e-117, 3.49e-117j)
| (-0.96049126870802028342 - 3.5999731776772897389e-488j)  +/-  (3.46e-116, 3.46e-116j)
| (-0.88845923287225699889 - 1.0156600676374453707e-493j)  +/-  (4.28e-117, 4.28e-117j)
| (3.6615975573080200381e-516 + 1.7355498726315886527e-516j)  +/-  (1.26e-514, 1.26e-514j)
| (0.77459666924148337704 + 5.7592554883379453171e-498j)  +/-  (1.45e-118, 1.45e-118j)
| (0.53131974364437562397 + 3.645476049388114555e-501j)  +/-  (1.38e-121, 1.38e-121j)
| (-0.33113539325797683309 - 1.1409693888199827966e-503j)  +/-  (5e-124, 5e-124j)
| (-0.70249620649152707861 + 5.5422813179019693402e-496j)  +/-  (1.71e-119, 1.71e-119j)
| (-0.434243749346802558 + 6.7795489757460984714e-501j)  +/-  (8.83e-123, 8.83e-123j)
| (0.434243749346802558 - 1.0288557500229632369e-502j)  +/-  (8.19e-123, 8.19e-123j)
| (0.70249620649152707861 - 1.9071423828669149178e-499j)  +/-  (1.59e-119, 1.59e-119j)
| (0.11248894313318662575 - 1.1146755110139239349e-505j)  +/-  (9.81e-127, 9.81e-127j)
| (-0.53131974364437562397 + 1.9298301787409560226e-499j)  +/-  (1.49e-121, 1.49e-121j)
| (-0.77459666924148337704 - 1.9924294304809174077e-499j)  +/-  (1.43e-118, 1.43e-118j)
| (0.22338668642896688163 + 5.8599093982506572648e-508j)  +/-  (2.22e-125, 2.22e-125j)
| (0.62110294673722640294 - 1.9921076608985854846e-504j)  +/-  (1.72e-120, 1.72e-120j)
| (0.33113539325797683309 - 3.7445147701674910126e-507j)  +/-  (5.24e-124, 5.24e-124j)
| (-0.11248894313318662575 + 1.1933991163516218955e-508j)  +/-  (8.93e-127, 8.93e-127j)
| (-0.62110294673722640294 - 5.7317350125113638865e-504j)  +/-  (1.86e-120, 1.86e-120j)
| (-0.22338668642896688163 + 8.6163992792277072359e-510j)  +/-  (2.14e-125, 2.14e-125j)
-------------------------------------------------
The weights are:
| (0.0025447807915618744154 + 1.7989993973694409828e-430j)  +/-  (1.8e-24, 4.16e-78j)
| (0.0084345657393211062463 - 2.3327256430932271412e-430j)  +/-  (1.32e-24, 3.05e-78j)
| (0.035957103307129322097 + 1.0913332801012192491e-431j)  +/-  (8.93e-26, 2.06e-79j)
| (0.0025447807915618744154 + 3.727008542185635353e-432j)  +/-  (1.89e-25, 4.36e-79j)
| (0.035957103307129322097 + 6.0177320684305053863e-433j)  +/-  (6.34e-26, 1.46e-79j)
| (0.025807598096176653565 - 1.0332805402592503329e-432j)  +/-  (5.18e-26, 1.2e-79j)
| (0.0084345657393211062463 - 5.0944334998390751573e-432j)  +/-  (5.43e-26, 1.25e-79j)
| (0.056979509494123357412 + 2.4228544895667857047e-432j)  +/-  (2.98e-28, 6.87e-82j)
| (0.016446049854387810934 + 7.2380203956099461909e-431j)  +/-  (6.84e-27, 1.58e-80j)
| (0.016446049854387810934 + 2.0289789696374399055e-432j)  +/-  (2.66e-26, 6.14e-80j)
| (0.056979509494123357412 + 2.6030542890714194102e-433j)  +/-  (5.25e-29, 1.21e-82j)
| (0.046462893261757986541 - 3.8281018055658176413e-433j)  +/-  (2.4e-28, 5.53e-82j)
| (0.025807598096176653565 - 2.6589747112182474358e-431j)  +/-  (3.67e-28, 8.47e-82j)
| (0.046462893261757986541 - 4.9267908370002658642e-432j)  +/-  (4e-29, 9.23e-83j)
| (0.11275525672076869161 - 8.587988134225785556e-434j)  +/-  (1.34e-32, 3.1e-86j)
| (0.06720775429599070354 - 1.8737779040953689813e-433j)  +/-  (2.99e-30, 6.89e-84j)
| (0.093627109981264473617 + 9.5446264682586564962e-434j)  +/-  (3.4e-32, 7.84e-86j)
| (0.10566989358023480974 + 1.5193038064713877489e-433j)  +/-  (2.51e-33, 5.8e-87j)
| (0.076879620499003531043 + 7.374127736325849108e-433j)  +/-  (8.49e-33, 1.96e-86j)
| (0.10031427861179557877 - 2.0568535093253293873e-433j)  +/-  (1.98e-33, 4.57e-87j)
| (0.10031427861179557877 - 8.4363283795231699633e-434j)  +/-  (8.45e-34, 1.95e-87j)
| (0.076879620499003531043 + 1.4220089547685466848e-433j)  +/-  (5.78e-33, 1.33e-86j)
| (0.11195687302095345688 + 7.9102969486787666402e-434j)  +/-  (1.48e-34, 3.42e-88j)
| (0.093627109981264473617 + 2.9555832041967073198e-433j)  +/-  (1.68e-34, 3.89e-88j)
| (0.06720775429599070354 - 1.2887629171661456351e-432j)  +/-  (1.37e-33, 3.16e-87j)
| (0.10957842105592463824 - 7.6769641413103253499e-434j)  +/-  (4.52e-35, 1.04e-88j)
| (0.085755920049990351154 - 1.1358728152909884704e-433j)  +/-  (2.08e-34, 4.8e-88j)
| (0.10566989358023480974 + 7.8448067536479134927e-434j)  +/-  (4.45e-35, 1.03e-88j)
| (0.11195687302095345688 + 9.8328375312634419296e-434j)  +/-  (2.04e-36, 4.72e-90j)
| (0.085755920049990351154 - 4.519070366080548659e-433j)  +/-  (2.24e-36, 5.71e-90j)
| (0.10957842105592463824 - 1.1886551603421940409e-433j)  +/-  (1.22e-36, 2.74e-90j)
