Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 34
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Trying to find an order 34 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 63/8*t^39 - 32875775023365787751569877/425640654325582284781624*t^37 + 6500272104608694611183578795903/18585599171126550464989611960*t^35 - 248727326474639924294327589471827/256481268561546396416856645048*t^33 + 85060909300940386977433774743239/46194206972106474623466116178*t^31 - 117182223983166103193921483684459/46194206972106474623466116178*t^29 + 1089588261062184872189132420064653/415747862748958271611195045602*t^27 - 9721568022914764778435969808796283/4696411042164158253385721811430*t^25 + 139955817807514382379546877829677885/110835300595074134779903034749748*t^23 - 8630237939873095343878979612673245/14456778338487930623465613228228*t^21 + 1051547219034026195564873167423045/4818926112829310207821871076076*t^19 - 15627798866346068051600975574573205/255403083979953441014559167032028*t^17 + 4972696953940032800229208179272191/383104625969930161521838750548042*t^15 - 260396620555213921014739805888065/127701541989976720507279583516014*t^13 + 1380254359982633990995151241386585/6001972473528905863842140425252658*t^11 - 961160738653200491231548293410125/54017752261760152774579263827273922*t^9 + 6375801715863764995558743492657875/7226374858128802660065937072004200232*t^7 - 1063823885373812792574498709790377/42325909883325844151814774278881744216*t^5 + 42878778841145746046086618720465/126977729649977532455444322836645232648*t^3 - 57370736999979889022542071935/42325909883325844151814774278881744216*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: 0
  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:
| (0.93698031044656696524 - 6.202830797607993005e-407j)  +/-  (2.61e-114, 2.61e-114j)
| (0.9799843714180220558 + 1.0262501872694439546e-405j)  +/-  (5.16e-114, 5.16e-114j)
| (-0.9061798459386639928 + 1.3878119511711984572e-405j)  +/-  (1.24e-114, 1.24e-114j)
| (0.96161046718947345305 - 1.7693005784015279882e-408j)  +/-  (4.11e-114, 4.11e-114j)
| (0.86938170144517454387 + 8.3407740680817998835e-411j)  +/-  (4.7e-115, 4.7e-115j)
| (0.8268162198400882461 - 3.0513062399658030215e-410j)  +/-  (1.41e-115, 1.41e-115j)
| (-0.9985693331177160735 - 3.2952610234218742475e-406j)  +/-  (1.86e-114, 1.86e-114j)
| (-0.93698031044656696524 - 5.0506287465345598694e-413j)  +/-  (2.6e-114, 2.6e-114j)
| (-0.96161046718947345305 + 8.0982358310711726327e-418j)  +/-  (4.43e-114, 4.43e-114j)
| (0.9985693331177160735 + 4.7409991361815429898e-425j)  +/-  (1.99e-114, 1.99e-114j)
| (0.9061798459386639928 + 3.2176062651419684206e-432j)  +/-  (1.12e-114, 1.12e-114j)
| (-0.9799843714180220558 - 2.1853915545543144199e-431j)  +/-  (5.45e-114, 5.45e-114j)
| (-0.86938170144517454387 + 3.319189311503315063e-445j)  +/-  (4.61e-115, 4.61e-115j)
| (-0.66747413107963908498 + 1.2579063942907819608e-454j)  +/-  (1.13e-117, 1.13e-117j)
| (-0.99217752912855004168 + 1.1105128163813322622e-450j)  +/-  (4.61e-114, 4.61e-114j)
| (0.77875963802025331087 - 3.1624052850487058438e-461j)  +/-  (3.32e-116, 3.32e-116j)
| (0.31933412895747678459 + 1.7345244028769992422e-469j)  +/-  (6.45e-123, 6.45e-123j)
| (-0.31933412895747678459 + 5.4687451810737014958e-471j)  +/-  (7.58e-123, 7.58e-123j)
| (-0.77875963802025331087 - 4.1985623845491480869e-463j)  +/-  (3.36e-116, 3.36e-116j)
| (-0.8268162198400882461 + 3.5444889897360512793e-464j)  +/-  (1.43e-115, 1.43e-115j)
| (0.24137678724948259861 + 1.7717562590157820665e-472j)  +/-  (4e-124, 4e-124j)
| (0.72552816857966140365 + 2.2273775139327221529e-462j)  +/-  (6.62e-117, 6.62e-117j)
| (0.16181484548141075381 - 1.4051633765560961943e-473j)  +/-  (2.11e-125, 2.11e-125j)
| (-0.46837588960743087055 - 5.8704896474079220126e-469j)  +/-  (1.5e-120, 1.5e-120j)
| (-0.72552816857966140365 + 5.5948496682129010432e-465j)  +/-  (6.91e-117, 6.91e-117j)
| (-0.081177233065810326431 + 1.0596200784129294679e-474j)  +/-  (1.06e-126, 1.06e-126j)
| (0.66747413107963908498 - 9.6944699886351265544e-464j)  +/-  (1.04e-117, 1.04e-117j)
| (0.46837588960743087055 + 4.7260782333036023162e-467j)  +/-  (1.28e-120, 1.28e-120j)
| (-0.16181484548141075381 + 1.4725336155040581137e-473j)  +/-  (1.62e-125, 1.62e-125j)
| (-0.60498277782820558087 + 1.9217630418730798963e-467j)  +/-  (1.41e-118, 1.41e-118j)
| (-0.24137678724948259861 - 9.3264281809476268067e-473j)  +/-  (4.12e-124, 4.12e-124j)
| (0.39516857059230187317 - 3.2018092827974948363e-468j)  +/-  (1.06e-121, 1.06e-121j)
| (0.60498277782820558087 + 1.7469313094556507928e-464j)  +/-  (1.43e-118, 1.43e-118j)
| (-9.6041506055780784624e-486 + 2.6966919682565811487e-486j)  +/-  (3.89e-484, 3.89e-484j)
| (-0.53846931010568309104 + 1.53849039359830099e-468j)  +/-  (1.46e-119, 1.46e-119j)
| (-0.39516857059230187317 + 6.46104512501241158e-470j)  +/-  (1.07e-121, 1.07e-121j)
| (0.081177233065810326431 - 1.9877807576572315259e-474j)  +/-  (1.06e-126, 1.06e-126j)
| (0.53846931010568309104 - 9.4729057794336526244e-466j)  +/-  (1.55e-119, 1.55e-119j)
| (0.99217752912855004168 + 4.1652780959280446264e-469j)  +/-  (4.76e-114, 4.76e-114j)
-------------------------------------------------
The weights are:
| (0.027738296946279573715 - 6.0225024292974213689e-406j)  +/-  (5.27e-18, 1.88e-70j)
| (0.015251159956707671987 - 1.9650996168461118968e-406j)  +/-  (1.59e-18, 5.67e-71j)
| (0.033833442167292616702 + 1.6514778012882504312e-406j)  +/-  (2.7e-19, 9.64e-72j)
| (0.021506572427284575327 + 1.20558699032354337e-405j)  +/-  (2.84e-18, 1.02e-70j)
| (0.039724281584093670202 - 2.8514913768335935285e-406j)  +/-  (2.4e-19, 8.57e-72j)
| (0.045360551066908064578 + 2.3805999102543393061e-406j)  +/-  (6.83e-20, 2.44e-72j)
| (0.0037110885013641118585 - 3.3108972904829334234e-406j)  +/-  (3.87e-20, 1.38e-72j)
| (0.027738296946279573715 + 1.1699301733148173014e-405j)  +/-  (1.17e-19, 4.18e-72j)
| (0.021506572427284575327 - 3.9185590741613868785e-406j)  +/-  (4.9e-20, 1.75e-72j)
| (0.0037110885013641118585 + 1.6049791137131754521e-406j)  +/-  (8.07e-21, 2.89e-73j)
| (0.033833442167292616702 + 3.5047863675976158608e-406j)  +/-  (1.97e-20, 7.06e-73j)
| (0.015251159956707671987 + 1.4857881342188654077e-407j)  +/-  (2.07e-20, 7.4e-73j)
| (0.039724281584093670202 - 1.5180319827679729243e-405j)  +/-  (9.27e-22, 3.31e-74j)
| (0.060339498579809790007 - 3.4480358971432096076e-406j)  +/-  (7.28e-24, 2.6e-76j)
| (0.0091965858163615091179 + 4.0715095936861975347e-406j)  +/-  (1.23e-20, 4.41e-73j)
| (0.050699848701744643597 - 2.0587858190908393388e-406j)  +/-  (3.99e-23, 1.43e-75j)
| (0.076981215627788368823 + 1.3798239616480752707e-406j)  +/-  (1.11e-25, 3.96e-78j)
| (0.076981215627788368823 + 1.8634528445232323049e-406j)  +/-  (5.97e-26, 2.14e-78j)
| (0.050699848701744643597 - 5.5154605370024512799e-406j)  +/-  (9.17e-24, 3.28e-76j)
| (0.045360551066908064578 + 8.000135398882235903e-406j)  +/-  (3.98e-23, 1.42e-75j)
| (0.078847026941230403289 - 1.3812019475170758192e-406j)  +/-  (7.58e-27, 2.71e-79j)
| (0.055704318376033511545 + 1.833839434349794089e-406j)  +/-  (4.63e-26, 1.66e-78j)
| (0.080188643165569679436 + 1.3976518081541758915e-406j)  +/-  (2.34e-27, 8.35e-80j)
| (0.071729879745151528464 + 2.2519308428032892005e-406j)  +/-  (2.69e-27, 9.62e-80j)
| (0.055704318376033511545 + 4.2340586498891720309e-406j)  +/-  (1.97e-25, 7.04e-78j)
| (0.080997180785153977572 - 1.5398255470577237641e-406j)  +/-  (3.4e-28, 1.22e-80j)
| (0.060339498579809790007 - 1.6742687953284350934e-406j)  +/-  (1.08e-27, 3.85e-80j)
| (0.071729879745151528464 + 1.4270606351380521108e-406j)  +/-  (1.81e-28, 6.48e-81j)
| (0.080188643165569679436 + 1.6230260744461541671e-406j)  +/-  (9.27e-29, 3.31e-81j)
| (0.064573958054359595361 + 2.9171283018885344403e-406j)  +/-  (2.24e-28, 8e-81j)
| (0.078847026941230403289 - 1.729137655145507665e-406j)  +/-  (6.97e-29, 2.49e-81j)
| (0.074603574360335335292 - 1.3944709751039596335e-406j)  +/-  (1.86e-29, 6.64e-82j)
| (0.064573958054359595361 + 1.5606094838509220207e-406j)  +/-  (8.39e-30, 3e-82j)
| (0.081267289011093234426 + 1.4759478269760307778e-406j)  +/-  (4.49e-30, 1.6e-82j)
| (0.068379232690984755913 - 2.5362833019442990035e-406j)  +/-  (9.74e-30, 3.48e-82j)
| (0.074603574360335335292 - 2.0337893688472432219e-406j)  +/-  (6.03e-30, 2.16e-82j)
| (0.080997180785153977572 - 1.4290289397130675493e-406j)  +/-  (2.38e-30, 8.5e-83j)
| (0.068379232690984755913 - 1.4807780995260842453e-406j)  +/-  (6.76e-31, 2.43e-83j)
| (0.0091965858163615091179 - 7.6118320001736674863e-406j)  +/-  (9.43e-32, 3.3e-84j)
