Starting with polynomial:
P : 1/3628800*t^10 - 1/36288*t^9 + 1/896*t^8 - 1/42*t^7 + 7/24*t^6 - 21/10*t^5 + 35/4*t^4 - 20*t^3 + 45/2*t^2 - 10*t + 1
Extension levels are: 10 18
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Trying to find an order 18 Kronrod extension for:
P1 : 1/3628800*t^10 - 1/36288*t^9 + 1/896*t^8 - 1/42*t^7 + 7/24*t^6 - 21/10*t^5 + 35/4*t^4 - 20*t^3 + 45/2*t^2 - 10*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/3628800*t^28 - 122482619866131008827723028160340875103818307710426091/764734686649083924554975811206736964306034487146124931200*t^27 + 1626479104672331472680166288408897091513573044569401333/37764675883905378990369175862061084657088122822030860800*t^26 - 201806363597061003147340032222800797475055466447024315297/28323506912929034242776881896545813492816092116523145600*t^25 + 20274118867678934396176318602476993682781690984708352715865/24924686083377550133643656068960315873678161062540368128*t^24 - 11056467254661407607716906687204058148122938701450502977671/162270091688655925349242552532293723135925527750913855*t^23 + 11286558470371087345818347096739667045467002509680913750316189/2596321467018494805587880840516699570174808444014621680*t^22 - 140497504465372914816041884704696984358167000658549739552883347/649080366754623701396970210129174892543702111003655420*t^21 + 1585802643442795551659581781232600522385505476152062182453069989/185451533358463914684848631465478540726772031715330120*t^20 - 1256479176610476681350795533454520392405284177314501297610352975/4636288333961597867121215786636963518169300792883253*t^19 + 11702547221255345801679163462612881183558351420668889795648781717/1685923030531490133498623922413441279334291197412092*t^18 - 669042368578416757645085597897621264564941756577295994582758872817/4636288333961597867121215786636963518169300792883253*t^17 + 22622569947678300991435802599342518429866182288973117438682770474943/9272576667923195734242431573273927036338601585766506*t^16 - 155488331447787277536315349473211141868144862341632369372051625250048/4636288333961597867121215786636963518169300792883253*t^15 + 1734038164698695988124112949644862374620257153109648508013051322418400/4636288333961597867121215786636963518169300792883253*t^14 - 15623882183322119942834302716029619453131566713070670464123983854712960/4636288333961597867121215786636963518169300792883253*t^13 + 113029051188267040160502843540174687550970845044064401267187925728424640/4636288333961597867121215786636963518169300792883253*t^12 - 650994743821919766561777382395511000923977543486925528029994283349479680/4636288333961597867121215786636963518169300792883253*t^11 + 268368239167280251889947717845407884684174612436531546513468809564752960/421480757632872533374655980603360319833572799353023*t^10 - 944545813726009420073781604111918127353118188585662957243794006543712000/421480757632872533374655980603360319833572799353023*t^9 + 2533332868248816397840711900965950755773821007735076223161114332725136000/421480757632872533374655980603360319833572799353023*t^8 - 5056507726271663017655180852910014571800941836907464086912393700016128000/421480757632872533374655980603360319833572799353023*t^7 + 7281170929379904516796941902683102016218304816622712021141198278694656000/421480757632872533374655980603360319833572799353023*t^6 - 7254089902414178728436322543526910586672458572257422490997029583561728000/421480757632872533374655980603360319833572799353023*t^5 + 4717258756076447839415785416351867761219120605940905759131415370641920000/421480757632872533374655980603360319833572799353023*t^4 - 1839631195884877420864320347557780824973174979393334243461885356019712000/421480757632872533374655980603360319833572799353023*t^3 + 378451157443640260494015325352129832340291987225568824168035979957248000/421480757632872533374655980603360319833572799353023*t^2 - 33646657197655244676942133491963485479637082276925746711232370651136000/421480757632872533374655980603360319833572799353023*t + 877991336003599619440173608098742726163628918768035715284012705792000/421480757632872533374655980603360319833572799353023
-------------------------------------------------
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:
| (78.327079648823610902 + 9.7764692414599045402e-306j)  +/-  (6.94e-118, 6.94e-118j)
| (23.938773088665740142 + 1.1065131751337761732e-303j)  +/-  (1.93e-113, 1.93e-113j)
| (66.999695469565874628 + 2.4002634478598485172e-313j)  +/-  (1e-116, 1e-116j)
| (44.720361973315265314 - 3.4385142567721716889e-312j)  +/-  (9.2e-115, 9.2e-115j)
| (58.279609277263332781 + 1.8189228918166399135e-313j)  +/-  (7e-116, 7e-116j)
| (39.194200322549725332 - 1.9017469386349813623e-311j)  +/-  (1.93e-114, 1.93e-114j)
| (29.92069701227389156 + 7.4871458793080755387e-315j)  +/-  (6.48e-114, 6.48e-114j)
| (26.132204323729116485 + 3.9113519514838232127e-326j)  +/-  (1.43e-113, 1.43e-113j)
| (5.5524961400638036324 + 1.3589251207156411964e-338j)  +/-  (8.97e-118, 8.97e-118j)
| (16.2792578313781021 - 6.508133681644731077e-334j)  +/-  (1.41e-114, 1.41e-114j)
| (6.8155915356307182839 - 8.5115316188731799836e-346j)  +/-  (4.35e-117, 4.35e-117j)
| (13.888310194903385888 + 1.0834620777949003867e-342j)  +/-  (5.73e-115, 5.73e-115j)
| (10.02380777198892897 - 8.4357872390254045589e-350j)  +/-  (7.86e-116, 7.86e-116j)
| (34.287059575704810849 - 2.0177294038220827457e-348j)  +/-  (3.52e-114, 3.52e-114j)
| (8.3301527467644967002 + 1.1477408859631766397e-355j)  +/-  (1.86e-116, 1.86e-116j)
| (4.4506073160317270794 - 1.3556764660573359432e-359j)  +/-  (1.83e-118, 1.83e-118j)
| (1.2579673664649054876 + 2.6975896940090393774e-363j)  +/-  (3.37e-122, 3.37e-122j)
| (51.003895274055761463 - 1.5392540405966325069e-354j)  +/-  (3.03e-115, 3.03e-115j)
| (0.042978173148271760371 + 6.7929248466834324736e-369j)  +/-  (4.97e-127, 4.97e-127j)
| (11.843785837900065565 + 3.0120184493482901455e-357j)  +/-  (2.1e-115, 2.1e-115j)
| (3.4014336978548995145 - 1.5108584078191187206e-373j)  +/-  (2.16e-119, 2.16e-119j)
| (2.4863322728487988415 + 2.7562233298085961522e-376j)  +/-  (2.98e-120, 2.98e-120j)
| (1.8083429017403160482 + 8.0045860549475213437e-379j)  +/-  (3.87e-121, 3.87e-121j)
| (19.024087857506749773 + 3.1372607213547107066e-377j)  +/-  (3.68e-114, 3.68e-114j)
| (21.996585811980761951 - 1.1719748898134014828e-403j)  +/-  (1.14e-113, 1.14e-113j)
| (0.13779347054049243083 - 2.1356650241445257024e-432j)  +/-  (8.36e-126, 8.36e-126j)
| (0.32891761948097249674 - 8.45050702696020657e-432j)  +/-  (7.61e-125, 7.61e-125j)
| (0.72945454950317049816 + 2.7308021071825287085e-431j)  +/-  (1.78e-123, 1.78e-123j)
-------------------------------------------------
The weights are:
| (1.3064636816174070042e-33 - 7.2708550955439538413e-331j)  +/-  (9.76e-37, 6.35e-93j)
| (4.6759192342922317159e-11 - 3.849185529292396169e-314j)  +/-  (8.27e-24, 5.38e-80j)
| (7.7563310669372205721e-29 + 5.0982575858135693662e-328j)  +/-  (4.15e-35, 2.7e-91j)
| (2.2246480046578091855e-19 - 5.6292251789006026295e-322j)  +/-  (2.5e-31, 1.62e-87j)
| (3.8610327552025921468e-25 - 9.6422557310238192789e-326j)  +/-  (4.97e-34, 3.24e-90j)
| (4.9441942142708496181e-17 + 2.6433490864367756988e-320j)  +/-  (2.75e-30, 1.79e-86j)
| (4.1581272832848837598e-13 + 4.7898467426735290033e-317j)  +/-  (2.55e-28, 1.66e-84j)
| (1.5030555513710358392e-11 - 3.5510384472547166759e-315j)  +/-  (4.41e-27, 2.87e-83j)
| (0.0044642229667734489963 + 3.3503739360973972165e-310j)  +/-  (2.43e-17, 1.58e-73j)
| (2.1910617339373434908e-07 + 3.7354813087530695063e-313j)  +/-  (4.03e-25, 2.62e-81j)
| (0.0015267988224537810483 - 1.3781678168147317383e-310j)  +/-  (1.61e-19, 1.05e-75j)
| (2.0523501422078534397e-06 - 1.4749245356724578213e-312j)  +/-  (1.96e-24, 1.27e-80j)
| (7.7782014333911730459e-05 - 1.6445208535461957876e-311j)  +/-  (7.84e-23, 5.1e-79j)
| (5.9533841958179729417e-15 - 1.0891438050519834556e-318j)  +/-  (3.71e-31, 2.41e-87j)
| (0.00039085091867293491913 + 4.813956677745598021e-311j)  +/-  (4.16e-22, 2.7e-78j)
| (0.01256408865949984003 - 6.4760258642187160157e-310j)  +/-  (3.19e-20, 2.08e-76j)
| (0.15702293626898857432 - 4.0723245422837163061e-309j)  +/-  (5.23e-17, 3.4e-73j)
| (4.7558063390435579211e-22 + 9.139808041519920089e-324j)  +/-  (7.42e-36, 4.82e-92j)
| (0.09530756267803872484 - 1.9369882009260213303e-309j)  +/-  (8.3e-18, 5.4e-74j)
| (1.3683220676795538906e-05 + 5.3054030011817379195e-312j)  +/-  (3.06e-24, 1.99e-80j)
| (0.03344468132064870046 + 1.1686461674789027746e-309j)  +/-  (1.08e-20, 7.03e-77j)
| (0.067041713508789825532 - 2.2456617512057929627e-309j)  +/-  (1.8e-20, 1.17e-76j)
| (0.093673066934773870137 + 3.613623746456691091e-309j)  +/-  (3.25e-20, 2.11e-76j)
| (1.587521465093746565e-08 - 1.1131731585645910524e-313j)  +/-  (8.41e-28, 5.47e-84j)
| (8.0914263402486694904e-10 + 7.4171663011089423988e-314j)  +/-  (1.95e-28, 1.27e-84j)
| (0.080937358098325264263 + 4.7110133638336206848e-309j)  +/-  (1.02e-22, 6.66e-79j)
| (0.2216836360613868856 - 4.7676949246160550142e-309j)  +/-  (4.35e-23, 2.84e-79j)
| (0.23184933032375299239 + 3.9439488726289798217e-309j)  +/-  (2.52e-23, 1.63e-79j)
