Starting with polynomial:
P : t
Extension levels are: 1 2 8 24
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P3 : t^11 - 10483/3705*t^9 + 3234/1105*t^7 - 139986/104975*t^5 + 68299/272935*t^3 - 3633/272935*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 78351457376627706924051418239660072311672526283713276851/8257723960747620762073029693724422914550251950306949685*t^33 + 2159173740418645084671861426434810194684311662214918370008/52298918418068264826462521393588011792151595685277348005*t^31 - 25533980800028229707271883115579838973043299338247016924504/233968845554515921592069174655525315912257138592030241075*t^29 + 39923249915836265385219394455161212495240975629539758308246453148/203988218066467584108814385856671095246450056207130641201794145*t^27 - 186591043371986947239562002211303049337827538121885513757714306388/740982843403835241420906957171668508373857041778038653938141125*t^25 + 348165841515695486029313901171940670420733120337297810480602786216/1452326373071517073184977636056470276412759801884955761718756605*t^23 - 88091116375357946507543900460157199368251205490232335116652212808/513228116799709040899954502967324082642103087884157299253996695*t^21 + 47738141557522707553052821562211173241802393498638564543144809034/513228116799709040899954502967324082642103087884157299253996695*t^19 - 12636921961842000500325216939517530470339968613194906990432722/331757024434201060698095994161166181410538518347871557371685*t^17 + 1537982623299032081384444457109689110636016065917981262712397416/131679304060000442283467675980352236472629703399564763888697525*t^15 - 107252721503752614519804516617704700063144812193291068304139517176/40701298300804607295453485306256403633475296440197235784091177345*t^13 + 837765368425833122162543451264175886548930479738558521014953479676/1969316663938930614526172481356559837342766266221850869861026965385*t^11 - 1947669031644758253345317645977278512219335177110611002398137328692/41355649942717542905049622108487756584198091590658868267081566273085*t^9 + 507230499883994096564130531406524179734643202251022976541795736/151485897226071585732782498565889218257135866632450066912386689645*t^7 - 104068385211756997540900190469645299913199519925513818990726728/757429486130357928663912492829446091285679333162250334561933448225*t^5 + 5273690797991418402005988805206880191670981093529770559605897/1969316663938930614526172481356559837342766266221850869861026965385*t^3 - 21215298226446782797527588161855797102226802663824907778593/1347427191116110420465275908296593572918734813730740068852281607895*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:
| (0.99079325588510780584 + 6.0150127651838482453e-319j)  +/-  (9.9e-114, 9.9e-114j)
| (0.47378868408257621959 - 2.0472008718880511001e-344j)  +/-  (1.64e-121, 1.64e-121j)
| (-0.9225217132136291628 + 1.3948896041698049804e-338j)  +/-  (2.67e-115, 2.67e-115j)
| (0.99968994604588528675 + 9.5473974525381492261e-334j)  +/-  (1.03e-113, 1.03e-113j)
| (0.97688244065119801513 + 4.0479031708585726381e-345j)  +/-  (3.23e-114, 3.23e-114j)
| (0.9225217132136291628 + 2.7125105350143786462e-351j)  +/-  (2.58e-115, 2.58e-115j)
| (-0.99968994604588528675 + 2.4849025817104036909e-348j)  +/-  (9.71e-114, 9.71e-114j)
| (-0.95426326163001177301 - 7.0153314362849850365e-352j)  +/-  (1.06e-114, 1.06e-114j)
| (-0.97688244065119801513 + 8.876801011063089253e-351j)  +/-  (3.04e-114, 3.04e-114j)
| (0.2919991541426287378 + 4.6243763870504653682e-363j)  +/-  (5.29e-124, 5.29e-124j)
| (0.83229562803130494137 + 6.3312532869067176302e-355j)  +/-  (1.08e-116, 1.08e-116j)
| (-0.38480501431708872328 - 2.5684826755637653939e-361j)  +/-  (9.34e-123, 9.34e-123j)
| (-0.47378868408257621959 + 8.076633160024585301e-360j)  +/-  (1.63e-121, 1.63e-121j)
| (-0.83229562803130494137 + 6.4095693474293329281e-355j)  +/-  (1.14e-116, 1.14e-116j)
| (-0.99750388282687745465 - 2.7067838450185690403e-349j)  +/-  (1.68e-113, 1.68e-113j)
| (0.88175702448602086613 - 4.7230342723964707639e-354j)  +/-  (5.64e-116, 5.64e-116j)
| (0.95426326163001177301 + 5.3334856830027826878e-352j)  +/-  (1.01e-114, 1.01e-114j)
| (-3.6109364928423601546e-379 - 1.7999187316633890988e-379j)  +/-  (1.41e-377, 1.41e-377j)
| (-0.63680349166384192103 + 7.9493949538497184882e-371j)  +/-  (2.57e-119, 2.57e-119j)
| (-0.77459666924148337704 + 1.9694660198244888551e-368j)  +/-  (1.95e-117, 1.95e-117j)
| (0.99750388282687745465 + 1.2012448420179105235e-365j)  +/-  (1.58e-113, 1.58e-113j)
| (0.70921858718567648513 - 2.4073756437373130556e-384j)  +/-  (2.45e-118, 2.45e-118j)
| (-0.2919991541426287378 - 1.6441743313755503259e-388j)  +/-  (5.24e-124, 5.24e-124j)
| (-0.99079325588510780584 + 1.7993446988882480263e-378j)  +/-  (9.99e-114, 9.99e-114j)
| (-0.55806685067819680295 + 1.2382122042642914586e-388j)  +/-  (2.17e-120, 2.17e-120j)
| (0.098636293502968334058 + 2.2255409046991678097e-396j)  +/-  (1.2e-126, 1.2e-126j)
| (0.77459666924148337704 + 8.0450130534738122533e-386j)  +/-  (1.87e-117, 1.87e-117j)
| (0.38480501431708872328 + 3.3757144209252055107e-391j)  +/-  (9.63e-123, 9.63e-123j)
| (-0.098636293502968334058 - 1.1499039592393678888e-396j)  +/-  (1.2e-126, 1.2e-126j)
| (-0.88175702448602086613 + 1.952765047010118293e-389j)  +/-  (5.94e-116, 5.94e-116j)
| (-0.1962927094566443174 - 4.8120429607718906959e-401j)  +/-  (2.35e-125, 2.35e-125j)
| (0.63680349166384192103 + 3.9172082348468131605e-394j)  +/-  (2.46e-119, 2.46e-119j)
| (0.55806685067819680295 - 4.5440233852519817897e-396j)  +/-  (2.28e-120, 2.28e-120j)
| (0.1962927094566443174 + 1.3600604592624222671e-401j)  +/-  (2.33e-125, 2.33e-125j)
| (-0.70921858718567648513 - 1.8237889165885026374e-394j)  +/-  (2.19e-118, 2.19e-118j)
-------------------------------------------------
The weights are:
| (0.0099399128408405140741 + 5.9675513651821953128e-319j)  +/-  (9.51e-23, 3.54e-75j)
| (0.086774490978179476756 - 2.5511477794300210672e-322j)  +/-  (7.64e-24, 2.85e-76j)
| (0.036293535263252151576 + 4.8263937728439352692e-322j)  +/-  (1.64e-24, 6.13e-77j)
| (0.00089783225210097832141 + 5.8987335134653461111e-319j)  +/-  (4.52e-23, 1.68e-75j)
| (0.018127228216031318038 + 2.1911803798173662666e-319j)  +/-  (3.6e-23, 1.34e-75j)
| (0.036293535263252151576 + 1.3526003794557626667e-320j)  +/-  (4.34e-24, 1.62e-76j)
| (0.00089783225210097832141 - 2.6365057670109871558e-321j)  +/-  (6.57e-26, 2.45e-78j)
| (0.027168903281189371876 - 8.2210862784480050656e-322j)  +/-  (7.7e-26, 2.87e-78j)
| (0.018127228216031318038 + 1.5490919291966388709e-321j)  +/-  (5.33e-26, 1.99e-78j)
| (0.094412484687685181269 - 1.5422687807029260585e-322j)  +/-  (5.88e-27, 2.19e-79j)
| (0.053665651126863388092 + 2.535195861205831859e-321j)  +/-  (1.79e-26, 6.66e-79j)
| (0.091045479792558559436 + 8.5477687580333918318e-323j)  +/-  (6.66e-28, 2.48e-80j)
| (0.086774490978179476756 - 9.005676154509320695e-323j)  +/-  (5.16e-28, 1.92e-80j)
| (0.053665651126863388092 + 2.204075367311199428e-322j)  +/-  (1.97e-28, 7.34e-81j)
| (0.0039512686583543804101 + 4.6299048828276772818e-321j)  +/-  (1.83e-26, 6.8e-79j)
| (0.045180140290212825522 - 5.3722179065305562071e-321j)  +/-  (5.84e-28, 2.17e-80j)
| (0.027168903281189371876 - 4.3773555876534792118e-320j)  +/-  (2.7e-27, 1e-79j)
| (0.09879993318498526654 + 9.7510894732887711651e-323j)  +/-  (1.18e-30, 4.39e-83j)
| (0.075700776841136336238 - 1.1199783236885817179e-322j)  +/-  (2e-30, 7.45e-83j)
| (0.061638955984876311671 - 1.6641090469985027381e-322j)  +/-  (3.93e-30, 1.46e-82j)
| (0.0039512686583543804101 - 1.3717983000567921473e-318j)  +/-  (2.58e-27, 9.6e-80j)
| (0.069010025215967622639 + 8.0391391628547001181e-322j)  +/-  (1.89e-31, 7.03e-84j)
| (0.094412484687685181269 - 8.4014242587658201445e-323j)  +/-  (2.93e-31, 1.09e-83j)
| (0.0099399128408405140741 - 3.0172138469523270641e-321j)  +/-  (1.27e-28, 4.73e-81j)
| (0.081642360167080793291 + 9.8448046815144829332e-323j)  +/-  (6.59e-31, 2.45e-83j)
| (0.098309177622935949094 - 1.0959904110001814149e-322j)  +/-  (1.22e-32, 4.53e-85j)
| (0.061638955984876311671 - 1.3588564886668642435e-321j)  +/-  (2.17e-31, 8.09e-84j)
| (0.091045479792558559436 + 1.9403505070022555773e-322j)  +/-  (1.35e-32, 5.02e-85j)
| (0.098309177622935949094 - 8.9752979109763850646e-323j)  +/-  (8.08e-33, 3.01e-85j)
| (0.045180140290212825522 - 3.1281744523660461467e-322j)  +/-  (7.34e-32, 2.73e-84j)
| (0.096841810188242208427 + 8.5407251968396713151e-323j)  +/-  (7.25e-33, 2.7e-85j)
| (0.075700776841136336238 - 5.1495078705763085668e-322j)  +/-  (1.17e-33, 4.35e-86j)
| (0.081642360167080793291 + 3.5237565918387628676e-322j)  +/-  (7.58e-34, 2.82e-86j)
| (0.096841810188242208427 + 1.2760941525572531967e-322j)  +/-  (3.66e-34, 1.37e-86j)
| (0.069010025215967622639 + 1.3315306923512911099e-322j)  +/-  (4.25e-34, 1.47e-86j)
