Starting with polynomial:
P : 14544636039226909/67108864*t^31 - 110873045217057585/67108864*t^29 + 381478443712926945/67108864*t^27 - 783034700252850045/67108864*t^25 + 1067774591253886425/67108864*t^23 - 1019422534291446285/67108864*t^21 + 699603700003933725/67108864*t^19 - 348782019535488825/67108864*t^17 + 126155198555389575/67108864*t^15 - 32706903329175075/67108864*t^13 + 5932880138780595/67108864*t^11 - 723521968143975/67108864*t^9 + 55655536011075/67108864*t^7 - 2429867476575/67108864*t^5 + 49589132175/67108864*t^3 - 300540195/67108864*t
Extension levels are: 31 32
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P1 : 14544636039226909/67108864*t^31 - 110873045217057585/67108864*t^29 + 381478443712926945/67108864*t^27 - 783034700252850045/67108864*t^25 + 1067774591253886425/67108864*t^23 - 1019422534291446285/67108864*t^21 + 699603700003933725/67108864*t^19 - 348782019535488825/67108864*t^17 + 126155198555389575/67108864*t^15 - 32706903329175075/67108864*t^13 + 5932880138780595/67108864*t^11 - 723521968143975/67108864*t^9 + 55655536011075/67108864*t^7 - 2429867476575/67108864*t^5 + 49589132175/67108864*t^3 - 300540195/67108864*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 14544636039226909/67108864*t^63 - 14886315767820550977/4362076160*t^61 + 486101674168742020046427/18996841676800*t^59 - 3453077278507521203047883913/28400278306816000*t^57 + 3609393116508948716398611339314373/8781508053859041280000*t^55 - 43838871459399741166972590762677404737/41668255715561150873600000*t^53 + 8844208875455680632750950037539751740666301/4173700833749182677254144000000*t^51 - 934667182268995582949641037824071491160505353/271290554193696874021519360000000*t^49 + 30503226372020988506576975619060785523074008102365927/6626867268947501312614087602995200000000*t^47 - 456330454042665692239853548249776991964489561589544534717/89164499103688630161222548698300416000000000*t^45 + 1249240163121932602528810759810557785945687039128206120622628317/261419859311286797909946725029097185607680000000000*t^43 - 64078388774287272883473803706515560286576012021536047625351984601/16992290855233641864146537126891317064499200000000000*t^41 + 26553892013479755248772679753306718828865240758396914433769423928588148021/10513456689078928983439463454653179815549878747136000000000000*t^39 - 29179357659355960407513196258146364216906659588407871682292094042070416262219/20273448982107201389732432028389548410985349517393920000000000000*t^37 + 61670091121986604489900838493091806433244601153369142974561865693433393063729369/88290870317076862052284741483636483329841197148250521600000000000000*t^35 - 3272951474689491011900646626913038268404719841527441537811353655609357443822767564001/11343203092165051273760466574037342880541852806607744591872000000000000000*t^33 + 738917050114573594550612272562809085271230616400509673460990571134865770193023156505577799737/7296509358232191897427492907768125611387915329765356195604122654720000000000000000*t^31 - 1417003095629318915548211014932687458350154424011136359935494657081291186183829067484689911/47074253924078657402758018759794358783147840837195846423252404224000000000000000*t^29 + 36727865198589072433735114486398485218230298586822527925197857436588565211364019858443889/4869750405939171455457726078599416425842880086606466871370938368000000000000000*t^27 - 8593393563718956792093173635751936514725425975800515541309970835541938102462272611837/5428930218438318233509170656186640385555050263775325386143744000000000000000*t^25 + 6892963244475030645848059663854422400317588065233862853481972626842754282333298147831/24973079004816263874142185018458545773553231213366496776261222400000000000000*t^23 - 214862535709265351440768949945436388189792469532955642211278921559635730381465451801/5428930218438318233509170656186640385555050263775325386143744000000000000000*t^21 + 5001083241930005618435091647313749744760515247798417391281523377242068728730039677/1085786043687663646701834131237328077111010052755065077228748800000000000000*t^19 - 464657556009641084771264915902427459888052182661205135138952417435442419689707849/1085786043687663646701834131237328077111010052755065077228748800000000000000*t^17 + 33748673281695561278888321562080710088092973629057729808024361410661536310109149/1085786043687663646701834131237328077111010052755065077228748800000000000000*t^15 - 1864588689093025124082063675685699118591412330939450496865110977759435541748961/1085786043687663646701834131237328077111010052755065077228748800000000000000*t^13 + 29066309333354046017930110545950412036547936667869198348275433410444726701409/417610016802947556423782358168203106581157712598101952780288000000000000000*t^11 - 7149064257400753945546960753624744657572312468910186112764101716663359743/3631391450460413534119846592766983535488327935635669154611200000000000000*t^9 + 39251638969336649545694595208207932796908898711454273222657311937771449869/1085786043687663646701834131237328077111010052755065077228748800000000000000*t^7 - 5432572866118749916548676752124877511501132906893465771486775836283089037/14115218567939627407123843706085265002443130685815846003973734400000000000000*t^5 + 27430684291383091147703369192276337005044837868757933086873249120259429/14115218567939627407123843706085265002443130685815846003973734400000000000000*t^3 - 207347806955940399971668077662331256589084546342374615704456194136501/70576092839698137035619218530426325012215653429079230019868672000000000000000*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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:
| (0.984685909665152484 - 5.1638743416352375919e-812j)  +/-  (9.59e-233, 9.59e-233j)
| (-0.99708748181947707406 + 1.632927912033574397e-810j)  +/-  (7.62e-233, 7.62e-233j)
| (-0.94781995826212750486 + 3.1961237773539419037e-821j)  +/-  (3.46e-233, 3.46e-233j)
| (-0.984685909665152484 - 1.749917543547351866e-829j)  +/-  (1.08e-232, 1.08e-232j)
| (0.93075699789664816496 + 1.3944612653660071626e-845j)  +/-  (1.92e-233, 1.92e-233j)
| (0.94781995826212750486 + 8.6314521410746119866e-846j)  +/-  (3.41e-233, 3.41e-233j)
| (-0.99215359093269407013 - 9.4572914350031560161e-843j)  +/-  (1.01e-232, 1.01e-232j)
| (-0.91138346198759297483 - 3.0419001578342353757e-854j)  +/-  (8.45e-234, 8.45e-234j)
| (0.99708748181947707406 + 1.033374967483225512e-857j)  +/-  (7.72e-233, 7.72e-233j)
| (-0.99951646287922834075 + 2.9532589783400932773e-855j)  +/-  (2.9e-233, 2.9e-233j)
| (0.86592260904355944983 - 2.5201467594547749526e-868j)  +/-  (1.28e-234, 1.28e-234j)
| (0.96250392509294966179 + 2.2675597303487432881e-866j)  +/-  (5.94e-233, 5.94e-233j)
| (-0.88976002994827104337 + 2.1516856473021858744e-866j)  +/-  (3.33e-234, 3.33e-234j)
| (-0.86592260904355944983 + 3.6221255504925953965e-872j)  +/-  (1.2e-234, 1.2e-234j)
| (-0.97478836251603252242 - 8.4408256627543866337e-874j)  +/-  (8.38e-233, 8.38e-233j)
| (0.83992032014626734009 - 7.9712235100641923464e-901j)  +/-  (3.58e-235, 3.58e-235j)
| (0.91138346198759297483 + 5.6005925854574851858e-899j)  +/-  (8.29e-234, 8.29e-234j)
| (0.99215359093269407013 - 1.2044477576854398786e-896j)  +/-  (1.03e-232, 1.03e-232j)
| (-0.78173314841662494041 + 2.6007482665403146516e-902j)  +/-  (2.37e-236, 2.37e-236j)
| (-0.96250392509294966179 + 3.6670996880989247835e-899j)  +/-  (5.46e-233, 5.46e-233j)
| (0.78173314841662494041 + 7.2071366692182475661e-919j)  +/-  (2.36e-236, 2.36e-236j)
| (0.74969091102660891198 + 5.4092200814952636501e-921j)  +/-  (4.82e-237, 4.82e-237j)
| (0.99951646287922834075 + 7.5654332748145839651e-914j)  +/-  (2.88e-233, 2.88e-233j)
| (-0.83992032014626734009 - 7.3974911516369716495e-918j)  +/-  (3.78e-235, 3.78e-235j)
| (-0.74969091102660891198 - 1.0356581723442228391e-921j)  +/-  (4.92e-237, 4.92e-237j)
| (0.19812119933557062877 + 3.7629391550431248951e-936j)  +/-  (2.2e-250, 2.2e-250j)
| (0.68008368785075080687 - 1.8219829147591241455e-924j)  +/-  (1.58e-238, 1.58e-238j)
| (0.81183107510292037795 + 4.0923723386500531406e-921j)  +/-  (1e-235, 1e-235j)
| (-0.34197468536418147576 - 6.156175096705633893e-932j)  +/-  (1.24e-246, 1.24e-246j)
| (-0.68008368785075080687 + 7.5924654280744312053e-924j)  +/-  (1.6e-238, 1.6e-238j)
| (-0.19812119933557062877 - 1.483193730994794475e-936j)  +/-  (1.96e-250, 1.96e-250j)
| (0.43383168420610313417 + 1.097840294900558501e-930j)  +/-  (2.49e-244, 2.49e-244j)
| (0.71577678458685328391 + 6.1712908658178522905e-923j)  +/-  (9.55e-238, 9.55e-238j)
| (-0.93075699789664816496 + 2.04144248288314034e-918j)  +/-  (1.85e-233, 1.85e-233j)
| (-0.64270672292426034618 - 6.6623112038524110768e-930j)  +/-  (2.36e-239, 2.36e-239j)
| (-0.81183107510292037795 - 4.1637824379510724888e-926j)  +/-  (9.9e-236, 9.9e-236j)
| (0.97478836251603252242 - 5.7464875712938666606e-924j)  +/-  (7.94e-233, 7.94e-233j)
| (0.64270672292426034618 - 1.8162227795145337247e-932j)  +/-  (2.32e-239, 2.32e-239j)
| (0.60373148850052275858 - 5.9618925705200904263e-934j)  +/-  (2.97e-240, 2.97e-240j)
| (-0.71577678458685328391 + 1.4712932599885742677e-931j)  +/-  (1.05e-237, 1.05e-237j)
| (-0.52136680191932712115 + 1.9492931478957158673e-936j)  +/-  (3.03e-242, 3.03e-242j)
| (-0.099555312152341520325 + 5.9588271328287935514e-947j)  +/-  (4.84e-253, 4.84e-253j)
| (0.52136680191932712115 - 1.3229746181689790855e-936j)  +/-  (3.31e-242, 3.31e-242j)
| (0.56324916140714926272 - 5.5893631421387746316e-934j)  +/-  (3.41e-241, 3.41e-241j)
| (0.049841807833068683363 + 3.1316999934449212172e-948j)  +/-  (2.03e-254, 2.03e-254j)
| (-0.56324916140714926272 - 2.8972209064889733117e-935j)  +/-  (3.17e-241, 3.17e-241j)
| (-0.60373148850052275858 - 1.9745524652916327749e-934j)  +/-  (3.15e-240, 3.15e-240j)
| (0.88976002994827104337 - 5.8737968334870756609e-944j)  +/-  (3.62e-234, 3.62e-234j)
| (0.47819378204490248044 - 1.1185391806242234952e-956j)  +/-  (3.04e-243, 3.04e-243j)
| (0.24672863235911349955 + 1.1277347618960507294e-962j)  +/-  (3.48e-249, 3.48e-249j)
| (-0.14902127365172185365 + 1.2736053533452416449e-964j)  +/-  (1.06e-251, 1.06e-251j)
| (-0.47819378204490248044 + 1.0321806697642857031e-955j)  +/-  (2.8e-243, 2.8e-243j)
| (-5.2430688609616588357e-1007 - 1.6692726924037123931e-1007j)  +/-  (3.47e-1005, 3.47e-1005j)
| (0.34197468536418147576 - 8.4558213477172238308e-959j)  +/-  (1.26e-246, 1.26e-246j)
| (0.29471806998170161662 + 2.5880844806174881525e-960j)  +/-  (7.07e-248, 7.07e-248j)
| (-0.049841807833068683363 + 4.388805298527981164e-966j)  +/-  (2.25e-254, 2.25e-254j)
| (-0.43383168420610313417 - 1.019969829164619667e-955j)  +/-  (2.49e-244, 2.49e-244j)
| (-0.29471806998170161662 + 2.172936701732979203e-959j)  +/-  (7.02e-248, 7.02e-248j)
| (0.099555312152341520325 + 2.5883694057863699386e-965j)  +/-  (4.94e-253, 4.94e-253j)
| (0.38838590160823294306 + 5.5549560461012969205e-958j)  +/-  (1.9e-245, 1.9e-245j)
| (0.14902127365172185365 + 8.7114795041589172902e-966j)  +/-  (1.01e-251, 1.01e-251j)
| (-0.24672863235911349955 - 4.3716450038523153563e-961j)  +/-  (3.88e-249, 3.88e-249j)
| (-0.38838590160823294306 - 1.6801011818910463243e-957j)  +/-  (1.88e-245, 1.88e-245j)
-------------------------------------------------
The weights are:
| (0.0086975909334506636024 + 1.424617915616110274e-812j)  +/-  (8.61e-44, 3.05e-153j)
| (0.0036471327267774589777 + 4.831936408653323414e-811j)  +/-  (4.21e-44, 1.49e-153j)
| (0.015882337757067343511 - 5.025262827114031359e-811j)  +/-  (1.17e-44, 4.14e-154j)
| (0.0086975909334506636024 + 1.0829509158868872132e-810j)  +/-  (1.2e-44, 4.27e-154j)
| (0.018230887045973172022 + 3.2288296054578187445e-812j)  +/-  (7.57e-46, 2.68e-155j)
| (0.015882337757067343511 - 3.5163142390083198827e-812j)  +/-  (8.16e-46, 2.89e-155j)
| (0.0062174417479777137938 - 1.9628781439396432808e-810j)  +/-  (1.23e-44, 4.35e-154j)
| (0.02050575080286103324 - 3.7322051171286504377e-811j)  +/-  (1.07e-46, 3.78e-156j)
| (0.0036471327267774589777 - 1.3076393091402471914e-812j)  +/-  (1.25e-47, 4.43e-157j)
| (0.001302462712673162379 + 8.3513808189650359667e-811j)  +/-  (6.23e-45, 2.21e-154j)
| (0.024930935380647995087 - 3.1779240912606338634e-812j)  +/-  (2.82e-48, 1e-157j)
| (0.013482352500295706051 + 4.2520450881569284166e-812j)  +/-  (4.13e-47, 1.46e-156j)
| (0.02273603864057332809 + 3.308893808914209104e-811j)  +/-  (9.77e-48, 3.46e-157j)
| (0.024930935380647995087 - 2.9674561561297303491e-811j)  +/-  (1.91e-48, 6.77e-158j)
| (0.011090649453592384636 - 7.7494245056517008769e-811j)  +/-  (8.09e-47, 2.87e-156j)
| (0.027059974235899594821 + 3.2660861004048065068e-812j)  +/-  (1.46e-49, 5.18e-159j)
| (0.02050575080286103324 - 3.1308769517241528908e-812j)  +/-  (1.45e-48, 5.15e-158j)
| (0.0062174417479777137938 + 3.8507098757820012746e-812j)  +/-  (1.11e-48, 3.95e-158j)
| (0.031080494363083816348 + 2.2580283208562618078e-811j)  +/-  (3.32e-51, 1.18e-160j)
| (0.013482352500295706051 + 6.0955649089266617365e-811j)  +/-  (1.79e-47, 6.33e-157j)
| (0.031080494363083816348 + 3.5207780228058155719e-812j)  +/-  (2.26e-51, 8.01e-161j)
| (0.032992186512398751198 - 3.6731883554885074583e-812j)  +/-  (4.88e-52, 1.73e-161j)
| (0.001302462712673162379 + 3.5593066513048954099e-813j)  +/-  (2.56e-49, 9.08e-159j)
| (0.027059974235899594821 + 2.6876900618234882297e-811j)  +/-  (7.44e-51, 2.64e-160j)
| (0.032992186512398751198 - 2.0869859102818499678e-811j)  +/-  (8.72e-53, 3.09e-162j)
| (0.048875216161656699205 + 6.6918744867562756592e-812j)  +/-  (3.48e-57, 1.23e-166j)
| (0.03654994258765553367 - 4.0193812565653058921e-812j)  +/-  (3.87e-54, 1.37e-163j)
| (0.029105163376721684301 - 3.3832389211700365615e-812j)  +/-  (1.75e-51, 6.2e-161j)
| (0.046853267300563534252 - 1.1323311055813843841e-811j)  +/-  (1.24e-57, 4.38e-167j)
| (0.03654994258765553367 - 1.8072345237665900068e-811j)  +/-  (1.88e-55, 6.67e-165j)
| (0.048875216161656699205 + 9.7417136026158939264e-812j)  +/-  (4.37e-58, 1.55e-167j)
| (0.044922646951730629726 - 5.3145912513798607849e-812j)  +/-  (5.34e-58, 1.89e-167j)
| (0.034820138039250891942 + 3.8395309258472739248e-812j)  +/-  (2.92e-54, 1.04e-163j)
| (0.018230887045973172022 + 4.278868811624798492e-811j)  +/-  (6.23e-52, 2.21e-161j)
| (0.038190087990940927334 + 1.6911548532573431252e-811j)  +/-  (9.15e-57, 3.24e-166j)
| (0.029105163376721684301 - 2.4554274743568175352e-811j)  +/-  (7.5e-54, 2.66e-163j)
| (0.011090649453592384636 - 6.7137585026780006287e-812j)  +/-  (6.16e-53, 2.18e-162j)
| (0.038190087990940927334 + 4.2103220631474011965e-812j)  +/-  (9.72e-57, 3.44e-166j)
| (0.039745421778265877848 - 4.4105875994515459428e-812j)  +/-  (1.08e-57, 3.82e-167j)
| (0.034820138039250891942 + 1.9378931210403163376e-811j)  +/-  (2.21e-56, 7.83e-166j)
| (0.04254519603685240922 - 1.4076603934633887431e-811j)  +/-  (3.34e-60, 1.19e-169j)
| (0.049609034824276536155 + 8.8484674548063157594e-812j)  +/-  (2.69e-62, 9.53e-172j)
| (0.04254519603685240922 - 4.8423837114761766197e-812j)  +/-  (2.94e-60, 1.04e-169j)
| (0.04120106253518957453 + 4.6209771726281898368e-812j)  +/-  (1.71e-59, 6.05e-169j)
| (0.049798300516199644387 - 7.6860482664288482014e-812j)  +/-  (8.62e-64, 3.05e-173j)
| (0.04120106253518957453 + 1.492696528721131232e-811j)  +/-  (3.4e-61, 1.2e-170j)
| (0.039745421778265877848 - 1.5867876046643543987e-811j)  +/-  (1.39e-60, 4.92e-170j)
| (0.02273603864057332809 + 3.1275525335630406317e-812j)  +/-  (9.43e-59, 3.34e-168j)
| (0.043784195655173878598 + 5.0738333644257827617e-812j)  +/-  (2.95e-62, 1.04e-171j)
| (0.048318501632654154389 - 6.3916253159495186543e-812j)  +/-  (6.04e-65, 2.14e-174j)
| (0.049303350032647005699 - 9.2814205421551788762e-812j)  +/-  (1.91e-65, 6.77e-175j)
| (0.043784195655173878598 + 1.3300839645730158441e-811j)  +/-  (1.33e-64, 4.72e-174j)
| (0.049863717193775958397 + 8.0517863308441992979e-812j)  +/-  (6.02e-66, 2.13e-175j)
| (0.046853267300563534252 - 5.8295046244678369922e-812j)  +/-  (1.17e-65, 4.14e-175j)
| (0.047641436416032105188 + 6.1047780327049539492e-812j)  +/-  (8.94e-66, 3.17e-175j)
| (0.049798300516199644387 - 8.4389459881715761974e-812j)  +/-  (1.42e-66, 5.04e-176j)
| (0.044922646951730629726 - 1.258707265906042378e-811j)  +/-  (4.01e-67, 1.42e-176j)
| (0.047641436416032105188 + 1.0760287035002644223e-811j)  +/-  (9.27e-68, 3.29e-177j)
| (0.049609034824276536155 + 7.3388202577221993295e-812j)  +/-  (1.14e-67, 4.02e-177j)
| (0.0459489447540288106 + 5.5660017875928703123e-812j)  +/-  (2.3e-67, 8.15e-177j)
| (0.049303350032647005699 - 7.0075339096507474505e-812j)  +/-  (8.88e-68, 3.14e-177j)
| (0.048318501632654154389 - 1.0233922157048523727e-811j)  +/-  (1.22e-68, 4.34e-178j)
| (0.0459489447540288106 + 1.1929578244369164901e-811j)  +/-  (1.06e-68, 3.71e-178j)
