Starting with polynomial:
P : -t+1
Extension levels are: 1 28
-------------------------------------------------
Trying to find an order 28 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^29 + 90690859365197548621069879041151/111242804560188914863505845071*t^28 - 34427995877348278178037086212015672/111242804560188914863505845071*t^27 + 299746573951852055669533018559101368/4120103872599589439389105373*t^26 - 48949360266279263707507752144500425272/4120103872599589439389105373*t^25 + 5905193691836941250858053019064089919000/4120103872599589439389105373*t^24 - 546404865637341555674653153926300161184000/4120103872599589439389105373*t^23 + 39743855914008591631458238904839261155168000/4120103872599589439389105373*t^22 - 2310804490982139899036527355366368669973424000/4120103872599589439389105373*t^21 + 108638179259171240214121731592508139962900016000/4120103872599589439389105373*t^20 - 4161877538408705015018144910882568603884090240000/4120103872599589439389105373*t^19 + 130558206748059301104652983769217908267276083840000/4120103872599589439389105373*t^18 - 3362341312861597915889273992049367393518524202880000/4120103872599589439389105373*t^17 + 71129814736838220681876395004102078095703977466240000/4120103872599589439389105373*t^16 - 1234508720866168882689105703953423266829292194447360000/4120103872599589439389105373*t^15 + 17525369583880868807929931346048985155771389156966400000/4120103872599589439389105373*t^14 - 202530577345922753600160144876758611036516593615974400000/4120103872599589439389105373*t^13 + 1892555221287795415719834623481558765388640602352332800000/4120103872599589439389105373*t^12 - 14173745859917222953434029512565078944961165251237478400000/4120103872599589439389105373*t^11 + 84108054941756946963907117184768432620231467774863769600000/4120103872599589439389105373*t^10 - 389758641772836844016566547894954180849603889485549568000000/4120103872599589439389105373*t^9 + 1384625605513714533823876109483398194592480268944723968000000/4120103872599589439389105373*t^8 - 3682607854265104908088090904770415310693161038593785856000000/4120103872599589439389105373*t^7 + 7109716669771852576613139350484345200815093035173019648000000/4120103872599589439389105373*t^6 - 9560816214164026827905736247078012761751916656099786752000000/4120103872599589439389105373*t^5 + 8457057423670274790891763468429507722281193759440044032000000/4120103872599589439389105373*t^4 - 4525106851185552463924794270634463189421828223249416192000000/4120103872599589439389105373*t^3 + 1281956890806722198331039571514358490941486762281140224000000/4120103872599589439389105373*t^2 - 150792118745465748860068721831032750296528207163686912000000/4120103872599589439389105373*t + 4084397889801961998571046966108867060147330729115648000000/4120103872599589439389105373
-------------------------------------------------
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
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (98.58445110072875775 + 3.1262655227414886815e-696j)  +/-  (1.85e-244, 1.85e-244j)
| (76.629505732376885728 - 1.9328689085992386749e-692j)  +/-  (2.3e-242, 2.3e-242j)
| (55.159353877135219331 - 4.0082203193138637079e-701j)  +/-  (6.91e-241, 6.91e-241j)
| (61.459223348827278358 + 2.7466713068573243355e-715j)  +/-  (3.35e-241, 3.35e-241j)
| (86.234151614924641315 + 9.3815599572057321014e-724j)  +/-  (3.27e-243, 3.27e-243j)
| (18.355028330763729544 - 1.0344701158882781241e-726j)  +/-  (6.18e-242, 6.18e-242j)
| (27.644728196755355413 - 2.504629109344447104e-746j)  +/-  (6.03e-241, 6.03e-241j)
| (39.59942516650291109 - 3.745989221861880033e-777j)  +/-  (1.51e-240, 1.51e-240j)
| (68.531880378715323364 + 1.822945211567556619e-809j)  +/-  (1.01e-241, 1.01e-241j)
| (35.27428474744188643 - 7.7021416599792490317e-834j)  +/-  (1.33e-240, 1.33e-240j)
| (13.389106819551239936 + 2.623262118734873551e-844j)  +/-  (5.19e-243, 5.19e-243j)
| (3.4638760290837503714 - 4.2219582880777178503e-855j)  +/-  (1.63e-247, 1.63e-247j)
| (11.236938893268081421 - 2.1883056729110131282e-850j)  +/-  (1.47e-243, 1.47e-243j)
| (15.758336275874331414 + 6.2775350521367677783e-864j)  +/-  (1.83e-242, 1.83e-242j)
| (44.316535335788212401 + 2.6603054036397817154e-882j)  +/-  (1.45e-240, 1.45e-240j)
| (6.0006145702144435988 + 1.3918097946065776941e-899j)  +/-  (9.82e-246, 9.82e-246j)
| (31.300129355324197158 - 1.1309906056280128344e-898j)  +/-  (1.04e-240, 1.04e-240j)
| (7.5496904984034811093 + 1.481561177447780518e-912j)  +/-  (5.76e-245, 5.76e-245j)
| (2.4674355618093001706 + 1.1353613861314193217e-918j)  +/-  (1.39e-248, 1.39e-248j)
| (9.292983030669684491 + 2.143407841870321016e-911j)  +/-  (3.39e-244, 3.39e-244j)
| (21.191459612139172622 - 4.9671290986173616651e-912j)  +/-  (1.64e-241, 1.64e-241j)
| (0.52129686309407383022 + 2.7824511378158841013e-936j)  +/-  (4.55e-252, 4.55e-252j)
| (49.479107846361043601 + 4.1110903999591559757e-925j)  +/-  (1.16e-240, 1.16e-240j)
| (0.037636958359147656795 - 3.4681061992098637468e-947j)  +/-  (6.63e-255, 6.63e-255j)
| (24.282208685013086908 + 1.5466614086385898574e-931j)  +/-  (3.32e-241, 3.32e-241j)
| (1.6473138442831379658 - 1.0501510542828979906e-945j)  +/-  (1.27e-249, 1.27e-249j)
| (0.20451474823299557584 + 1.3413096328696624618e-949j)  +/-  (1.92e-253, 1.92e-253j)
| (1 - 2.6974700690278305802e-947j)  +/-  (7.37e-251, 7.37e-251j)
| (4.6402473697595675363 - 9.5677232845318905612e-943j)  +/-  (1.33e-246, 1.33e-246j)
-------------------------------------------------
The weights are:
| (2.2587476594528035232e-42 - 8.9678382312773393237e-731j)  +/-  (4.96e-100, 8.05e-220j)
| (4.5886670574512118206e-33 + 4.4343700758810681466e-725j)  +/-  (3.33e-97, 5.42e-217j)
| (6.6153851965438210021e-24 - 1.5655630119473710604e-721j)  +/-  (4.12e-94, 6.69e-214j)
| (1.3543554593963180236e-26 + 1.0039574075975521015e-722j)  +/-  (3.16e-95, 5.13e-215j)
| (3.7678313281601108194e-37 + 8.3700566999380676557e-728j)  +/-  (4.39e-99, 7.12e-219j)
| (2.8985228477053859986e-08 + 3.792782635978790318e-714j)  +/-  (2.14e-85, 3.48e-205j)
| (3.4573716700216249597e-12 - 4.946016852077329833e-716j)  +/-  (2.8e-89, 4.54e-209j)
| (2.8621521733383722234e-17 + 1.8865850525130258092e-718j)  +/-  (1.15e-92, 1.86e-212j)
| (1.2996385994823355646e-29 - 5.8275139438254228543e-724j)  +/-  (3.09e-97, 5.01e-217j)
| (1.9858900476710445655e-15 - 1.4062714302464985131e-717j)  +/-  (8.36e-92, 1.36e-211j)
| (3.4603576934767949975e-06 + 3.8033053954269799829e-713j)  +/-  (5.91e-86, 9.59e-206j)
| (0.033993606050148023744 + 3.1276957690180121049e-711j)  +/-  (5.21e-78, 8.46e-198j)
| (2.6972066187923652889e-05 - 1.023978828510888459e-712j)  +/-  (2.85e-85, 4.63e-205j)
| (3.5553539272872293915e-07 - 1.2693973130433171552e-713j)  +/-  (4.49e-87, 7.29e-207j)
| (2.7950368393383789119e-19 - 2.1375601333849409165e-719j)  +/-  (9.35e-95, 1.52e-214j)
| (0.0036015804313250944692 + 1.0790689224070217117e-711j)  +/-  (5.5e-84, 8.93e-204j)
| (9.715194964703634362e-14 + 8.9672045061152803954e-717j)  +/-  (4.91e-92, 7.97e-212j)
| (0.00086582063267477320137 - 5.4452728717379552672e-712j)  +/-  (2.06e-85, 3.35e-205j)
| (0.076975123042280530542 - 4.5470215792567988666e-711j)  +/-  (1.29e-82, 2.1e-202j)
| (0.00016963197569502453496 + 2.4846817444037990649e-712j)  +/-  (3.61e-86, 5.86e-206j)
| (1.8539416648714910737e-09 - 1.0097719177147385893e-714j)  +/-  (1.6e-90, 2.6e-210j)
| (0.23529076948469113081 + 6.2573564261222334966e-711j)  +/-  (2.9e-85, 4.73e-205j)
| (1.7558331870292513788e-21 + 2.017034590788258752e-720j)  +/-  (5.79e-97, 9.4e-217j)
| (0.093825292607599489291 + 1.5212316029580014616e-711j)  +/-  (8.88e-86, 1.45e-205j)
| (9.1768123822466454534e-11 + 2.3820926373256632948e-715j)  +/-  (2.11e-91, 3.43e-211j)
| (0.1411730524706057272 + 5.8850719403844192148e-711j)  +/-  (1.24e-86, 2.02e-206j)
| (0.195018279490763739 - 4.3737043507758365208e-711j)  +/-  (5.56e-86, 9.09e-206j)
| (0.20681653981674912801 - 6.645989231555321386e-711j)  +/-  (1.61e-86, 2.65e-206j)
| (0.012239485103698405869 - 1.933571074440498549e-711j)  +/-  (1.51e-87, 2.42e-207j)
