Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 8 24
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P2 : 5/2*t^11 - 10483/1482*t^9 + 1617/221*t^7 - 69993/20995*t^5 + 68299/109174*t^3 - 3633/109174*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^35 - 78351457376627706924051418239660072311672526283713276851/3303089584299048304829211877489769165820100780122779874*t^33 + 1079586870209322542335930713217405097342155831107459185004/10459783683613652965292504278717602358430319137055469601*t^31 - 12766990400014114853635941557789919486521649669123508462252/46793769110903184318413834931105063182451427718406048215*t^29 + 19961624957918132692609697227580606247620487814769879154123226574/40797643613293516821762877171334219049290011241426128240358829*t^27 - 93295521685993473619781001105651524668913769060942756878857153194/148196568680767048284181391434333701674771408355607730787628225*t^25 + 174082920757847743014656950585970335210366560168648905240301393108/290465274614303414636995527211294055282551960376991152343751321*t^23 - 44045558187678973253771950230078599684125602745116167558326106404/102645623359941808179990900593464816528420617576831459850799339*t^21 + 23869070778761353776526410781105586620901196749319282271572404517/102645623359941808179990900593464816528420617576831459850799339*t^19 - 6318460980921000250162608469758765235169984306597453495216361/66351404886840212139619198832233236282107703669574311474337*t^17 + 768991311649516040692222228554844555318008032958990631356198708/26335860812000088456693535196070447294525940679912952777739505*t^15 - 53626360751876307259902258308852350031572406096645534152069758588/8140259660160921459090697061251280726695059288039447156818235469*t^13 + 418882684212916561081271725632087943274465239869279260507476739838/393863332787786122905234496271311967468553253244370173972205393077*t^11 - 973834515822379126672658822988639256109667588555305501199068664346/8271129988543508581009924421697551316839618318131773653416313254617*t^9 + 253615249941997048282065265703262089867321601125511488270897868/30297179445214317146556499713177843651427173326490013382477337929*t^7 - 52034192605878498770450095234822649956599759962756909495363364/151485897226071585732782498565889218257135866632450066912386689645*t^5 + 5273690797991418402005988805206880191670981093529770559605897/787726665575572245810468992542623934937106506488740347944410786154*t^3 - 21215298226446782797527588161855797102226802663824907778593/538970876446444168186110363318637429167493925492296027540912643158*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 + 2.8989473667327243511e-318j)  +/-  (1.04e-113, 1.04e-113j)
| (0.47378868408257621959 - 1.3310736152772079813e-343j)  +/-  (1.38e-121, 1.38e-121j)
| (-0.9225217132136291628 - 2.2989705554152983895e-337j)  +/-  (3.04e-115, 3.04e-115j)
| (0.99968994604588528675 - 4.0643440703228101101e-333j)  +/-  (1.04e-113, 1.04e-113j)
| (0.97688244065119801513 - 1.0131687753485968255e-343j)  +/-  (3.78e-114, 3.78e-114j)
| (0.9225217132136291628 - 6.3338235787080509114e-350j)  +/-  (2.66e-115, 2.66e-115j)
| (-0.99968994604588528675 - 1.3264074268372642483e-346j)  +/-  (1.06e-113, 1.06e-113j)
| (-0.95426326163001177301 + 1.7360396326121124966e-350j)  +/-  (1.19e-114, 1.19e-114j)
| (-0.97688244065119801513 - 2.3569797857117932023e-349j)  +/-  (3.53e-114, 3.53e-114j)
| (0.2919991541426287378 + 4.5067200051256371304e-362j)  +/-  (4.71e-124, 4.71e-124j)
| (0.83229562803130494137 + 1.984911471415935772e-353j)  +/-  (1.17e-116, 1.17e-116j)
| (-0.38480501431708872328 - 6.8896755110657295987e-361j)  +/-  (9.81e-123, 9.81e-123j)
| (-0.47378868408257621959 + 1.9205994921358142308e-359j)  +/-  (1.49e-121, 1.49e-121j)
| (-0.83229562803130494137 + 1.4123465899168058414e-353j)  +/-  (1.16e-116, 1.16e-116j)
| (-0.99750388282687745465 - 2.0412050942175057048e-349j)  +/-  (1.8e-113, 1.8e-113j)
| (0.88175702448602086613 - 1.1323760874474111218e-352j)  +/-  (5.94e-116, 5.94e-116j)
| (0.95426326163001177301 - 9.488850561771567562e-351j)  +/-  (1.13e-114, 1.13e-114j)
| (-1.3324337201826277876e-378 - 6.6416907967254795185e-379j)  +/-  (5.21e-377, 5.21e-377j)
| (-0.63680349166384192103 + 1.3308979152817482937e-370j)  +/-  (2.6e-119, 2.6e-119j)
| (-0.77459666924148337704 - 1.1653825298774117779e-369j)  +/-  (1.88e-117, 1.88e-117j)
| (0.99750388282687745465 + 7.2836836809431088865e-365j)  +/-  (1.94e-113, 1.94e-113j)
| (0.70921858718567648513 - 2.0272423837418360309e-383j)  +/-  (2.26e-118, 2.26e-118j)
| (-0.2919991541426287378 + 3.3525950293327510147e-388j)  +/-  (4.76e-124, 4.76e-124j)
| (-0.99079325588510780584 + 1.3021141098940957009e-378j)  +/-  (1.11e-113, 1.11e-113j)
| (-0.55806685067819680295 - 6.1627255137002661613e-388j)  +/-  (2.17e-120, 2.17e-120j)
| (0.098636293502968334058 + 2.088871058184858387e-395j)  +/-  (9.17e-127, 9.17e-127j)
| (0.77459666924148337704 + 4.1508110874250589753e-386j)  +/-  (1.88e-117, 1.88e-117j)
| (0.38480501431708872328 + 4.1399251632054702499e-394j)  +/-  (1.12e-122, 1.12e-122j)
| (-0.098636293502968334058 - 2.4258983433169161387e-395j)  +/-  (9.17e-127, 9.17e-127j)
| (-0.88175702448602086613 + 6.5137233108154091751e-387j)  +/-  (6.17e-116, 6.17e-116j)
| (-0.1962927094566443174 - 1.5134223404781229749e-398j)  +/-  (2.47e-125, 2.47e-125j)
| (0.63680349166384192103 + 3.0593678003479375029e-393j)  +/-  (2.56e-119, 2.56e-119j)
| (0.55806685067819680295 - 7.3716382953156746318e-395j)  +/-  (2.33e-120, 2.33e-120j)
| (0.1962927094566443174 - 3.0325113931440577346e-399j)  +/-  (2.49e-125, 2.49e-125j)
| (-0.70921858718567648513 + 4.2787106775868709109e-393j)  +/-  (2.36e-118, 2.36e-118j)
-------------------------------------------------
The weights are:
| (0.0099399128408405140741 + 2.8760732505957440618e-318j)  +/-  (9.51e-23, 3.69e-75j)
| (0.086774490978179476756 - 1.2295307468227205569e-321j)  +/-  (7.64e-24, 2.97e-76j)
| (0.036293535263252151576 + 2.3260900790745859664e-321j)  +/-  (1.64e-24, 6.38e-77j)
| (0.00089783225210097832141 + 2.8429063500741889942e-318j)  +/-  (4.52e-23, 1.75e-75j)
| (0.018127228216031318038 + 1.0560437425628325729e-318j)  +/-  (3.6e-23, 1.4e-75j)
| (0.036293535263252151576 + 6.5188844335646514917e-320j)  +/-  (4.34e-24, 1.69e-76j)
| (0.00089783225210097832141 - 1.2706691987242242735e-320j)  +/-  (6.57e-26, 2.55e-78j)
| (0.027168903281189371876 - 3.9621688845843929652e-321j)  +/-  (7.7e-26, 2.99e-78j)
| (0.018127228216031318038 + 7.4658793659837765381e-321j)  +/-  (5.33e-26, 2.07e-78j)
| (0.094412484687685181269 - 7.4329950660980539798e-322j)  +/-  (5.88e-27, 2.28e-79j)
| (0.053665651126863388092 + 1.2218426881043720973e-320j)  +/-  (1.79e-26, 6.94e-79j)
| (0.091045479792558559436 + 4.1196141554296035391e-322j)  +/-  (6.66e-28, 2.58e-80j)
| (0.086774490978179476756 - 4.3403035359916675239e-322j)  +/-  (5.16e-28, 2e-80j)
| (0.053665651126863388092 + 1.0622585074350988756e-321j)  +/-  (1.97e-28, 7.65e-81j)
| (0.0039512686583543804101 + 2.2313918676922437107e-320j)  +/-  (1.83e-26, 7.09e-79j)
| (0.045180140290212825522 - 2.5891511060118472875e-320j)  +/-  (5.84e-28, 2.27e-80j)
| (0.027168903281189371876 - 2.1096752325334371065e-319j)  +/-  (2.7e-27, 1.05e-79j)
| (0.09879993318498526654 + 4.6995569676902684411e-322j)  +/-  (1.18e-30, 4.57e-83j)
| (0.075700776841136336238 - 5.3977578086744208223e-322j)  +/-  (2e-30, 7.76e-83j)
| (0.061638955984876311671 - 8.020206653052649394e-322j)  +/-  (3.93e-30, 1.52e-82j)
| (0.0039512686583543804101 - 6.6114091937700475064e-318j)  +/-  (2.58e-27, 1e-79j)
| (0.069010025215967622639 + 3.8744791103104546495e-321j)  +/-  (1.89e-31, 7.32e-84j)
| (0.094412484687685181269 - 4.0490831329115525938e-322j)  +/-  (2.93e-31, 1.14e-83j)
| (0.0099399128408405140741 - 1.4541522151241214085e-320j)  +/-  (1.27e-28, 4.92e-81j)
| (0.081642360167080793291 + 4.7447231987049805129e-322j)  +/-  (6.59e-31, 2.56e-83j)
| (0.098309177622935949094 - 5.2821475863254961355e-322j)  +/-  (1.22e-32, 4.72e-85j)
| (0.061638955984876311671 - 6.5490358763487647369e-321j)  +/-  (2.17e-31, 8.43e-84j)
| (0.091045479792558559436 + 9.3515578643011690534e-322j)  +/-  (1.35e-32, 5.23e-85j)
| (0.098309177622935949094 - 4.3256626810951480654e-322j)  +/-  (8.08e-33, 3.13e-85j)
| (0.045180140290212825522 - 1.5076298996166723252e-321j)  +/-  (7.34e-32, 2.85e-84j)
| (0.096841810188242208427 + 4.1162194971018364284e-322j)  +/-  (7.25e-33, 2.81e-85j)
| (0.075700776841136336238 - 2.4818155611878151202e-321j)  +/-  (1.17e-33, 4.53e-86j)
| (0.081642360167080793291 + 1.6982814985939322132e-321j)  +/-  (7.58e-34, 2.94e-86j)
| (0.096841810188242208427 + 6.1501611512304177352e-322j)  +/-  (3.66e-34, 1.43e-86j)
| (0.069010025215967622639 + 6.4173386574643350259e-322j)  +/-  (4.25e-34, 1.53e-86j)
