Starting with polynomial:
P : 1300075/1024*t^13 - 2028117/512*t^11 + 4849845/1024*t^9 - 692835/256*t^7 + 765765/1024*t^5 - 45045/512*t^3 + 3003/1024*t
Extension levels are: 13 28
-------------------------------------------------
Trying to find an order 28 Kronrod extension for:
P1 : 1300075/1024*t^13 - 2028117/512*t^11 + 4849845/1024*t^9 - 692835/256*t^7 + 765765/1024*t^5 - 45045/512*t^3 + 3003/1024*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1300075/1024*t^41 - 7326079487692606077006153752602524655043397910117/556887437614701325953658047096143814495872512*t^39 + 13851566936341366040979283165039434369884540764290105/219204817631086809428508648788219608980937817536*t^37 - 7531017555990671395996707333033469572345247209835406673/40333686444119972934845591377032408052492558426624*t^35 + 275742419606543768520594701345446743533077636986360838265/726006355994159512827220644786583344944866051679232*t^33 - 1040564745968188605069663505091675236411419505212600644665/1845266154818488761769185805499232668401534548018048*t^31 + 1479965505061746490452277244055183549932398181842078697566031/2340720117387252994304212194275776639867346574160893888*t^29 - 2557833067348100268283993842261297300893513413931457766900595/4681440234774505988608424388551553279734693148321787776*t^27 + 43662009515164483430594060677009324472311873614439993769490393/118596485947620818378080084509972683086612226424151956992*t^25 - 501322812240352108687818340398710013628361913763295257869825/2578184477122191703871306184999406154056787530959825152*t^23 + 882121514865972879627793489837082557907347867330686488910575/10957284027769314741453051286247476154741347006579256896*t^21 - 59984446872794767300122237883897249030245019016066711520885/2306796637425118892937484481315258137840283580332475136*t^19 + 82772248927168787713914902866391837011651457617589548916925/12755228465762422113889620073154956762175685679485450752*t^17 - 624711909322505822152413096439690431512504440446974296224665/507020331514056279027112397907909531296483505759546667392*t^15 + 632419513548556825941706141150003680386717668539864367946425/3633645709184069999694305518340018307624798457943417782976*t^13 - 128732770629978116195369394600130184993741495103985158097675/7267291418368139999388611036680036615249596915886835565952*t^11 + 1534427357018538425878655260725992587342874152086852958995/1236985773339257872236359325392346657914825006959461372928*t^9 - 11352306716340235843888207598056791915751353116452515438675/203484159714307919982881109027041025226988713644831395846656*t^7 + 2623095505803334808793620998366773953558529066044307165/1816822854592034999847152759170009153812399228971708891488*t^5 - 512770572106198995841691421508004273781959438375413075/29069165673472559997554444146720146460998387663547342263808*t^3 + 3745142811811765035824512173530351393203247813213775/58138331346945119995108888293440292921996775327094684527616*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
  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:
| (0.98418305471858814947 + 3.3430713697376731163e-845j)  +/-  (9.36e-241, 9.36e-241j)
| (-0.99938065963663877686 - 3.3426750979047391327e-857j)  +/-  (3.76e-241, 3.76e-241j)
| (-0.96775951626391108868 - 2.319707098391421375e-862j)  +/-  (6.6e-241, 6.6e-241j)
| (0.99938065963663877686 - 3.6363532327876066722e-866j)  +/-  (3.94e-241, 3.94e-241j)
| (0.96775951626391108868 + 3.3383922428833477029e-888j)  +/-  (7.52e-241, 7.52e-241j)
| (0.94552003904703088969 + 2.3437442336715942933e-906j)  +/-  (3.93e-241, 3.93e-241j)
| (-0.91759839922297796521 + 1.161357589560657701e-913j)  +/-  (2.06e-241, 2.06e-241j)
| (-0.88416234043030430681 - 2.7646378536266726527e-914j)  +/-  (7.51e-242, 7.51e-242j)
| (-0.99469965430131955395 + 4.5767716167985650873e-912j)  +/-  (8.72e-241, 8.72e-241j)
| (0.80157809073330991279 + 2.7259837534590766092e-915j)  +/-  (6.64e-243, 6.64e-243j)
| (0.84541175979433656285 - 1.2690134308261526086e-923j)  +/-  (2.35e-242, 2.35e-242j)
| (-0.98418305471858814947 + 1.9360268016011543977e-928j)  +/-  (9.21e-241, 9.21e-241j)
| (-0.80157809073330991279 + 2.4775388098032973864e-935j)  +/-  (6.8e-243, 6.8e-243j)
| (-0.84541175979433656285 - 3.2135354014254535605e-935j)  +/-  (2.27e-242, 2.27e-242j)
| (0.99469965430131955395 - 2.549727196006217766e-931j)  +/-  (9.06e-241, 9.06e-241j)
| (0.91759839922297796521 - 2.4815688716157270038e-941j)  +/-  (1.86e-241, 1.86e-241j)
| (0.88416234043030430681 - 9.7097424471133070888e-952j)  +/-  (7.91e-242, 7.91e-242j)
| (-0.94552003904703088969 + 2.004204534103871155e-960j)  +/-  (3.99e-241, 3.99e-241j)
| (-0.7529237068328764254 - 1.4206496869425293074e-963j)  +/-  (1.48e-243, 1.48e-243j)
| (-0.23045831595513479407 + 5.4424943561745929241e-972j)  +/-  (1.01e-251, 1.01e-251j)
| (0.51634640124151093842 - 2.4404425461492202119e-965j)  +/-  (4.27e-247, 4.27e-247j)
| (0.7529237068328764254 - 7.7902541037630158926e-964j)  +/-  (1.54e-243, 1.54e-243j)
| (0.15441300414438573558 + 5.1531079023599545866e-974j)  +/-  (3.94e-253, 3.94e-253j)
| (-0.58109501657195363168 + 6.6467800597128588896e-967j)  +/-  (4.06e-246, 4.06e-246j)
| (-0.69974076698664806642 - 9.8309717520395323876e-967j)  +/-  (2.51e-244, 2.51e-244j)
| (0.07743926262886708714 + 1.7138215155509988099e-976j)  +/-  (2.73e-254, 2.73e-254j)
| (0.69974076698664806642 + 2.4863505906074061771e-966j)  +/-  (2.76e-244, 2.76e-244j)
| (0.44849275103644685288 + 7.9363003399271127428e-972j)  +/-  (3.58e-248, 3.58e-248j)
| (-0.15441300414438573558 + 3.2460097067604078059e-977j)  +/-  (4e-253, 4e-253j)
| (-0.64234933944034022064 + 2.5638780354203986169e-971j)  +/-  (3.66e-245, 3.66e-245j)
| (-0.07743926262886708714 - 1.2406712749864977236e-979j)  +/-  (2.73e-254, 2.73e-254j)
| (0.37794181353855315337 - 1.8740320777535604293e-973j)  +/-  (2.48e-249, 2.48e-249j)
| (0.64234933944034022064 + 1.0720160714583288501e-971j)  +/-  (3.5e-245, 3.5e-245j)
| (4.1585336811167531231e-981 + 7.8853476104036065926e-981j)  +/-  (3.66e-979, 3.66e-979j)
| (-0.44849275103644685288 + 6.27652088527190207e-979j)  +/-  (3.78e-248, 3.78e-248j)
| (-0.37794181353855315337 + 6.198287236320329069e-980j)  +/-  (2.56e-249, 2.56e-249j)
| (0.23045831595513479407 + 2.3442419818506415446e-979j)  +/-  (1.05e-251, 1.05e-251j)
| (0.58109501657195363168 - 1.7827815494798974678e-978j)  +/-  (4.07e-246, 4.07e-246j)
| (0.30511766440256551373 + 1.0708048591678900234e-982j)  +/-  (1.73e-250, 1.73e-250j)
| (-0.30511766440256551373 + 8.1882915954507981835e-983j)  +/-  (1.7e-250, 1.7e-250j)
| (-0.51634640124151093842 - 2.3811381170496550144e-982j)  +/-  (4.16e-247, 4.16e-247j)
-------------------------------------------------
The weights are:
| (0.013480498717928262033 - 5.6049036251085557199e-847j)  +/-  (1.34e-71, 5.54e-188j)
| (0.0020178294171529969062 - 6.3639937082541442261e-848j)  +/-  (3.7e-72, 1.52e-188j)
| (0.019350786653789776638 + 2.7958057792434718974e-847j)  +/-  (3.37e-72, 1.39e-188j)
| (0.0020178294171529969062 + 8.3061686764540549534e-846j)  +/-  (2.39e-72, 9.85e-189j)
| (0.019350786653789776638 + 3.3228237237573821143e-845j)  +/-  (2.88e-72, 1.19e-188j)
| (0.025105783696180226123 - 1.6158211154624801284e-845j)  +/-  (7.63e-73, 3.14e-189j)
| (0.030709514822624864969 + 3.6438789228801873878e-847j)  +/-  (1.02e-73, 4.2e-190j)
| (0.036129278601053854964 - 4.0307075189798658813e-847j)  +/-  (5.19e-74, 2.14e-190j)
| (0.0075517466327290278875 + 1.6440298473211702654e-847j)  +/-  (1.27e-73, 5.22e-190j)
| (0.046290288416953235362 - 4.6773215127899795744e-846j)  +/-  (7.21e-76, 2.97e-192j)
| (0.041333301904649676685 + 5.8114452439491538804e-846j)  +/-  (1.35e-75, 5.57e-192j)
| (0.013480498717928262033 - 2.2895267857307402724e-847j)  +/-  (5.51e-74, 2.27e-190j)
| (0.046290288416953235362 - 4.7828463989707825925e-847j)  +/-  (1.19e-76, 4.9e-193j)
| (0.041333301904649676685 + 4.4078709422008920733e-847j)  +/-  (5.89e-76, 2.42e-192j)
| (0.0075517466327290278875 - 3.0935305767310086663e-845j)  +/-  (7.41e-76, 3.05e-192j)
| (0.030709514822624864969 + 1.0407595119738977365e-845j)  +/-  (4.35e-77, 1.79e-193j)
| (0.036129278601053854964 - 7.52919421321823865e-846j)  +/-  (1.58e-77, 6.52e-194j)
| (0.025105783696180226123 - 3.2374160207643904216e-847j)  +/-  (3.02e-77, 1.24e-193j)
| (0.050969754372676086668 + 5.1618810559883118389e-847j)  +/-  (6.32e-80, 2.6e-196j)
| (0.075427993337646848653 + 8.9923653611116800992e-847j)  +/-  (5.45e-83, 2.24e-199j)
| (0.06636762012924127862 + 2.1892743672232832757e-846j)  +/-  (7.26e-83, 2.99e-199j)
| (0.050969754372676086668 + 3.8773517985875894807e-846j)  +/-  (6.83e-81, 2.81e-197j)
| (0.076586325536819268192 - 1.3264494050450137792e-846j)  +/-  (5.59e-84, 2.3e-200j)
| (0.063064698718290229004 - 6.3773782051624498217e-847j)  +/-  (3.81e-83, 1.57e-199j)
| (0.055342739833550768357 - 5.5505468962510012268e-847j)  +/-  (7.49e-82, 3.09e-198j)
| (0.077283960060534679974 + 1.2193974792434339911e-846j)  +/-  (1.63e-84, 6.72e-201j)
| (0.055342739833550768357 - 3.2859734804517784436e-846j)  +/-  (8.37e-83, 3.45e-199j)
| (0.069271686955622450818 - 1.9536003495529236557e-846j)  +/-  (3e-84, 1.24e-200j)
| (0.076586325536819268192 - 9.6667117485706184048e-847j)  +/-  (3.69e-85, 1.52e-201j)
| (0.059382473883523658956 + 5.9540321014794449268e-847j)  +/-  (6.26e-84, 2.58e-200j)
| (0.077283960060534679974 + 1.0415013666598965993e-846j)  +/-  (2.13e-85, 8.77e-202j)
| (0.071759469153745021213 + 1.7571281178761538643e-846j)  +/-  (7.53e-86, 3.1e-202j)
| (0.059382473883523658956 + 2.8330810145549837583e-846j)  +/-  (4.08e-85, 1.68e-201j)
| (0.077516935224550208192 - 1.1251546827049831154e-846j)  +/-  (8.71e-86, 3.59e-202j)
| (0.069271686955622450818 - 7.3046865196083980563e-847j)  +/-  (3.25e-87, 1.34e-203j)
| (0.071759469153745021213 + 7.8204543204439845327e-847j)  +/-  (2.52e-87, 1.04e-203j)
| (0.075427993337646848653 + 1.4491363260456599877e-846j)  +/-  (2.36e-87, 9.73e-204j)
| (0.063064698718290229004 - 2.4764739491517859926e-846j)  +/-  (3.12e-87, 1.29e-203j)
| (0.073815781543012683883 - 1.591103359644474099e-846j)  +/-  (1.55e-87, 6.38e-204j)
| (0.073815781543012683883 - 8.3802266447766698896e-847j)  +/-  (2.46e-88, 1.02e-204j)
| (0.06636762012924127862 + 6.8257426699503132804e-847j)  +/-  (2e-88, 8.14e-205j)
