Starting with polynomial:
P : 583401555/32768*t^17 - 300540195/4096*t^15 + 1017958725/8192*t^13 - 456326325/4096*t^11 + 929553625/16384*t^9 - 66927861/4096*t^7 + 20369349/8192*t^5 - 692835/4096*t^3 + 109395/32768*t
Extension levels are: 17 36
-------------------------------------------------
Trying to find an order 36 Kronrod extension for:
P1 : 583401555/32768*t^17 - 300540195/4096*t^15 + 1017958725/8192*t^13 - 456326325/4096*t^11 + 929553625/16384*t^9 - 66927861/4096*t^7 + 20369349/8192*t^5 - 692835/4096*t^3 + 109395/32768*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 583401555/32768*t^53 - 15393489633141207022646586270197259140074297756592878552347104004957698552347093644006585/64693374941195468683519650717089642801532261294556272823529903841201215338139533312*t^51 + 153938063085752343323711673789394619330989284766598312273708074141484676035247617537788073805/102603692656736013332062166037304173483230166413166248698118427492145127526289299832832*t^49 - 1902800004937810883978483052111168236743177834232667236145898757883099155619294725248638189729/320636539552300041662694268866575542135094270041144527181620085912953523519654061977600*t^47 + 103734383656519439045386092922905688985225499068268016386792605592706745330648973660681947925081859/6280628536750453216088855338558481719342226561565938998433574242862933618702983766017228800*t^45 - 626335638347882535835427121838612564942415876275008669120492542840037829827685631481774222938820177/18213822756576314326657680481819596986092457028541223095457365304302507494238652921449963520*t^43 + 1759764444893787155376477808355464007121902378369665559075400902538426196714313165474488548028704009759/31655623950929634299731048677402459561828690315604645739904900898877758024986778777480036597760*t^41 - 1244614959992836076236478658944877367096338619868224437111727147586175515796623453772441647802550885543/17410593173011298864852076772571352759005779673582555156947695494382766913742728327614020128768*t^39 + 99534243344259097342065664875176063755656341547222981767599869497730678182649202590382165948999411238649/1339276397923946066527082828659334827615829205660196550534438114952520531826363717508770779136000*t^37 - 3086880081144986191070286663208390984257991216654702990787691339748976093195024242118758952017902283233917/48883588524224031428238523246065721207977766006597174094506991195766999411662275689070133438464000*t^35 + 2590241242051982287795685741342688179150425513792993343517989262186997956988201666319468826842197370343739/58660306229068837713886227895278865449573319207916608913408389434920399293994730826884160126156800*t^33 - 2834065367332863507688849612224752222977740508489447126163497450274809749403353333237852328092221216477/111099064827781889609633007377422093654494922742266304760243161808561362299232444747886666905600*t^31 + 859322245231539546554683024377404102597054202039127649223312221201592259073733408630715969175641484611/70490441132109888579905080542916087008369192360610345089257730250949278148478516667624643829760*t^29 - 38177113769072607864421288945982992861620395972471941531813273652282941086621647136096097807101803083781/7930174627362362465239321561078059788441534140568663822541494653231793791703833125107772430848000*t^27 + 2759415508965111253619787925392863218922762438650143772316869898295664941189372962516296864635013005531/1762261028302747214497627013572902175209229809015258627231443256273731953711962916690616095744000*t^25 - 253436164689622843098936230896005577319399874154820733063467067742792744242788674879669809574426773669/607596954540903713520268792071004967365617060238739170171536740097856277953733301276373288663040*t^23 + 315309468330669784338507512000186647305388682792907540740448336759589897291716450367962690110935495499833/3493572016436643461157269141900629288721867984179979548637214157973564897092520349011641614669086720*t^21 - 1145331441252036727997050771302609978904793127285276215347472769368302799712774275975328755674577988575829/73015655143525848338186925065723152134287040869361572566517775901647506349233675294343309746583912448*t^19 + 64749767088007621758430553798471135797805083048655950891362624953456857235291009803997924229996052530098451/30013277193207203974802099198068306219409567852090204302342306831150896030921842318359013111622124011520*t^17 - 863759868915112144604688253501751699736847013001627994052405051736932086406515083465256457660437480942829/3751659649150900496850262399758538277426195981511275537792788353893862003865230289794876638952765501440*t^15 + 913971434928435715483139836655549939914576785401201871091447158856843593999303973499679915094385974203/49202093759356072089839506882079190523622242380475744757938207919919501690035807079277070674790367232*t^13 - 126286395565538837253691095991854931729519263405186706155629719787380432251482891763364680508828881417/115435681512335399903084996915647331613113722508039247316701180119811138580468624301380819660085092352*t^11 + 2820052487794530836375177674737463040540460988832470948016121859240834606218136537754205995112327835/62964917188546581765319089226716726334425666822566862172746098247169711952982885982571356178228232192*t^9 - 155693203321087070168905346408816453869931676634855807265164127342150261342979484816922529859462107/131176910809472045344414769222326513196720139213680962859887704681603566568714345797023658704642150400*t^7 + 19099544162738238054603283005741024332390908515502200000210800702108924430483743267890622251383927/1049415286475776362755318153778612105573761113709447702879101637452828532549714766376189269637137203200*t^5 - 235178426639267852665076570276694133699778935347546176741596528788791375031783026474665087349/1778669977077587055517488396234935772158917141880419835388307860089539885677482654874897067181588480*t^3 + 60350314728665122656123465879737368057552665745785946066208532390834455589157239013546894623/209883057295155272551063630755722421114752222741889540575820327490565706509942953275237853927427440640*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:
| (-0.95067552176876776122 - 6.5950130556470022821e-830j)  +/-  (1.06e-236, 1.06e-236j)
| (0.99684411881397497219 - 1.7484891452472949315e-827j)  +/-  (3.14e-236, 3.14e-236j)
| (-0.90699172118503431294 - 1.8450888527411926505e-840j)  +/-  (2.36e-237, 2.36e-237j)
| (-0.99963141862069477912 + 6.5860126383657920833e-837j)  +/-  (1.35e-236, 1.35e-236j)
| (0.88023915372698590212 + 2.3473365668202069994e-841j)  +/-  (9.03e-238, 9.03e-238j)
| (0.95067552176876776122 - 6.5041035953758625927e-846j)  +/-  (1.11e-236, 1.11e-236j)
| (-0.99057547531441733568 + 1.3018885986957816923e-856j)  +/-  (3.36e-236, 3.36e-236j)
| (-0.93049824112387455909 + 1.4292368550451870027e-860j)  +/-  (5.55e-237, 5.55e-237j)
| (-0.99684411881397497219 + 7.5884241300868150881e-858j)  +/-  (2.94e-236, 2.94e-236j)
| (0.99963141862069477912 + 6.0738950977819952829e-858j)  +/-  (1.27e-236, 1.27e-236j)
| (0.90699172118503431294 - 2.7428439320918503674e-877j)  +/-  (2.49e-237, 2.49e-237j)
| (-0.0597797342226052646 - 2.8288391888938325096e-912j)  +/-  (2.11e-254, 2.11e-254j)
| (-0.88023915372698590212 - 4.5484405125557333383e-894j)  +/-  (9.2e-238, 9.2e-238j)
| (-0.85033559588970862209 + 9.6836734401097867216e-895j)  +/-  (2.72e-238, 2.72e-238j)
| (0.99057547531441733568 + 1.850326000166018048e-890j)  +/-  (3.4e-236, 3.4e-236j)
| (0.81738785386835341895 + 7.9729822934208096937e-904j)  +/-  (7.85e-239, 7.85e-239j)
| (0.85033559588970862209 + 6.1861435604632889012e-902j)  +/-  (2.63e-238, 2.63e-238j)
| (-0.96745206434753148027 - 8.8261943010002933899e-904j)  +/-  (2.06e-236, 2.06e-236j)
| (-0.74284269582772626432 - 7.524571308459779173e-912j)  +/-  (3.78e-240, 3.78e-240j)
| (-0.98076794512515279159 - 3.5057517792478409116e-906j)  +/-  (2.93e-236, 2.93e-236j)
| (0.93049824112387455909 - 2.259600948795846182e-905j)  +/-  (6.19e-237, 6.19e-237j)
| (0.78151400389680140693 + 2.4599996152633910198e-916j)  +/-  (1.89e-239, 1.89e-239j)
| (0.98076794512515279159 + 1.8397731805695992399e-916j)  +/-  (2.94e-236, 2.94e-236j)
| (-0.81738785386835341895 - 1.0465784711914591739e-935j)  +/-  (7.26e-239, 7.26e-239j)
| (-0.78151400389680140693 + 5.5974609033449968136e-938j)  +/-  (1.8e-239, 1.8e-239j)
| (0.3512317634538763153 + 2.125195496991954753e-946j)  +/-  (5.94e-248, 5.94e-248j)
| (0.70151246030998184816 + 7.0330627550853321032e-938j)  +/-  (6.78e-241, 6.78e-241j)
| (0.56309094649797788674 - 6.8165708675364867817e-941j)  +/-  (1.52e-243, 1.52e-243j)
| (-0.51269053708647696789 + 2.2078751647246636639e-943j)  +/-  (1.37e-244, 1.37e-244j)
| (-0.61147556514249119878 + 2.6909897922135762884e-941j)  +/-  (1.31e-242, 1.31e-242j)
| (-0.3512317634538763153 + 6.759953668016049127e-947j)  +/-  (6.17e-248, 6.17e-248j)
| (0.74284269582772626432 + 5.4343344390085704261e-938j)  +/-  (4.08e-240, 4.08e-240j)
| (0.65767115921669076585 + 3.5702114634736478998e-940j)  +/-  (9.75e-242, 9.75e-242j)
| (0.96745206434753148027 - 3.6632967088264539125e-943j)  +/-  (1.99e-236, 1.99e-236j)
| (-0.65767115921669076585 + 5.8957534082447077483e-955j)  +/-  (9.79e-242, 9.79e-242j)
| (-0.70151246030998184816 - 1.6166601414493849682e-959j)  +/-  (6.43e-241, 6.43e-241j)
| (0.11934553688226467039 - 1.5410614168154100024e-971j)  +/-  (5.06e-253, 5.06e-253j)
| (0.61147556514249119878 - 2.6547674242138362361e-963j)  +/-  (1.16e-242, 1.16e-242j)
| (0.29463522780140236947 - 2.3286241227788693222e-971j)  +/-  (4.12e-249, 4.12e-249j)
| (-0.29463522780140236947 - 7.995487422231132455e-971j)  +/-  (3.57e-249, 3.57e-249j)
| (-0.56309094649797788674 + 6.7655305868848270346e-967j)  +/-  (1.39e-243, 1.39e-243j)
| (-0.11934553688226467039 + 8.0337469431120141562e-977j)  +/-  (5.06e-253, 5.06e-253j)
| (0.40657097956722711618 + 2.9156032897344734012e-968j)  +/-  (8.68e-247, 8.68e-247j)
| (0.46045486074953136229 - 8.4931580301764462624e-967j)  +/-  (1.23e-245, 1.23e-245j)
| (0.0597797342226052646 - 5.5393709694176606947e-977j)  +/-  (2.11e-254, 2.11e-254j)
| (-0.40657097956722711618 + 5.3748794554625320858e-972j)  +/-  (8.75e-247, 8.75e-247j)
| (-0.23698390581906360017 + 7.3843471116223467319e-975j)  +/-  (2.17e-250, 2.17e-250j)
| (0.23698390581906360017 - 1.8444316461117481298e-973j)  +/-  (2.01e-250, 2.01e-250j)
| (0.51269053708647696789 + 1.6954052111861207362e-967j)  +/-  (1.38e-244, 1.38e-244j)
| (0.17848418149584785585 - 3.7288141712058187947e-975j)  +/-  (9.59e-252, 9.59e-252j)
| (-0.17848418149584785585 - 3.1594426832973156708e-976j)  +/-  (1.03e-251, 1.03e-251j)
| (-0.46045486074953136229 + 4.793950784894391086e-970j)  +/-  (1.11e-245, 1.11e-245j)
| (1.0409932192644782926e-1096 + 6.4771648835783318053e-1097j)  +/-  (6.5e-1095, 6.5e-1095j)
-------------------------------------------------
The weights are:
| (0.018487865296097172368 + 8.6332124603681874211e-830j)  +/-  (1.01e-57, 4.72e-170j)
| (0.0044981745880599818381 + 1.2859607930085914447e-828j)  +/-  (2.55e-59, 1.19e-171j)
| (0.025144395344301257648 + 7.0844054704686774077e-830j)  +/-  (6.28e-58, 2.93e-170j)
| (0.001201033257616028512 - 1.9791891072454952561e-830j)  +/-  (1.35e-58, 6.28e-171j)
| (0.028344894936539648017 - 1.7946657618428665436e-828j)  +/-  (2.07e-60, 9.66e-173j)
| (0.018487865296097172368 + 3.6475927436924078422e-828j)  +/-  (1.16e-60, 5.41e-173j)
| (0.0080410618575698653918 - 7.4638849868713754191e-830j)  +/-  (6.4e-59, 2.98e-171j)
| (0.021854782939519203081 - 2.9371584127383285708e-830j)  +/-  (4.05e-59, 1.89e-171j)
| (0.0044981745880599818381 + 5.1781314123166419354e-830j)  +/-  (1.1e-58, 5.13e-171j)
| (0.001201033257616028512 + 1.0945404038456342238e-827j)  +/-  (2.49e-61, 1.16e-173j)
| (0.025144395344301257648 + 2.1921474572377507532e-828j)  +/-  (1.57e-61, 7.35e-174j)
| (0.05970838908875516038 + 2.8573257533211442371e-829j)  +/-  (2.87e-63, 1.34e-175j)
| (0.028344894936539648017 - 9.0019819591064580973e-830j)  +/-  (2.77e-60, 1.29e-172j)
| (0.031444411311016878662 + 1.0352153136958529069e-829j)  +/-  (4.84e-61, 2.26e-173j)
| (0.0080410618575698653918 - 1.7392008423078473283e-827j)  +/-  (8.77e-62, 4.09e-174j)
| (0.034431381155660733692 - 1.285980686383855403e-828j)  +/-  (1.43e-63, 6.68e-176j)
| (0.031444411311016878662 + 1.504990015101815851e-828j)  +/-  (5.76e-63, 2.69e-175j)
| (0.015055225454166731593 - 1.4253958591674868102e-829j)  +/-  (9.38e-61, 4.38e-173j)
| (0.040024653358462485469 - 1.3452448536457734034e-829j)  +/-  (5.77e-65, 2.69e-177j)
| (0.011568540987585356003 + 9.8631624589721580407e-830j)  +/-  (1.11e-60, 5.18e-173j)
| (0.021854782939519203081 - 2.7647440997615924071e-828j)  +/-  (1.38e-63, 6.46e-176j)
| (0.03729486523442550333 + 1.1155395700324238577e-828j)  +/-  (1.2e-65, 5.59e-178j)
| (0.011568540987585356003 + 8.221341223122075458e-828j)  +/-  (1.28e-63, 5.95e-176j)
| (0.034431381155660733692 - 1.1475455433134704879e-829j)  +/-  (1.45e-64, 6.77e-177j)
| (0.03729486523442550333 + 1.2490677161650245937e-829j)  +/-  (2.77e-65, 1.29e-177j)
| (0.056001275976449086031 - 4.5512893676986353872e-829j)  +/-  (6.75e-71, 3.15e-183j)
| (0.042611167368985636794 + 8.6940837416498800827e-829j)  +/-  (5.59e-69, 2.61e-181j)
| (0.04942201835796133078 - 6.3722051510074090218e-829j)  +/-  (8.89e-71, 4.15e-183j)
| (0.051348700357825559884 + 1.8236955665429303351e-829j)  +/-  (4.97e-71, 2.32e-183j)
| (0.047318335178928409813 + 1.6270963305310694608e-829j)  +/-  (2.34e-70, 1.09e-182j)
| (0.056001275976449086031 - 2.1519169921401863188e-829j)  +/-  (4.02e-72, 1.88e-184j)
| (0.040024653358462485469 - 9.7974076022280292816e-829j)  +/-  (6.37e-69, 2.97e-181j)
| (0.045045299465600547823 - 7.7827765132640737454e-829j)  +/-  (2.96e-70, 1.38e-182j)
| (0.015055225454166731593 - 5.1554019574313275264e-828j)  +/-  (2.52e-67, 1.18e-179j)
| (0.045045299465600547823 - 1.5325801020403262168e-829j)  +/-  (9.17e-71, 4.28e-183j)
| (0.042611167368985636794 + 1.4391017440707543712e-829j)  +/-  (3.1e-70, 1.45e-182j)
| (0.05938766584024510435 - 3.4404760943908903405e-829j)  +/-  (1.8e-75, 8.39e-188j)
| (0.047318335178928409813 + 7.0194226803461154665e-829j)  +/-  (2.91e-72, 1.36e-184j)
| (0.057158028804596518936 + 4.2254908354748838648e-829j)  +/-  (4.98e-75, 2.32e-187j)
| (0.057158028804596518936 + 2.2740445109171386162e-829j)  +/-  (1.66e-75, 7.74e-188j)
| (0.04942201835796133078 - 1.72379873311019951e-829j)  +/-  (2.07e-73, 9.63e-186j)
| (0.05938766584024510435 - 2.6944561252990936818e-829j)  +/-  (3.63e-76, 1.7e-188j)
| (0.054644143432507686306 + 4.9192775451244308104e-829j)  +/-  (1.2e-75, 5.6e-188j)
| (0.053091463005500384232 - 5.3378368195898980064e-829j)  +/-  (1.25e-75, 5.82e-188j)
| (0.05970838908875516038 + 3.2279750457387516286e-829j)  +/-  (2.49e-77, 1.16e-189j)
| (0.054644143432507686306 + 2.0368173110195908923e-829j)  +/-  (6.87e-77, 3.21e-189j)
| (0.058110205224484040948 - 2.4043187259428790258e-829j)  +/-  (2.07e-77, 9.64e-190j)
| (0.058110205224484040948 - 3.9351945414435156897e-829j)  +/-  (1.06e-77, 4.95e-190j)
| (0.051348700357825559884 + 5.8175974793215178993e-829j)  +/-  (4.43e-77, 2.06e-189j)
| (0.058854315928301863197 + 3.6749968416690956539e-829j)  +/-  (5.79e-78, 2.7e-190j)
| (0.058854315928301863197 + 2.5439874082111358553e-829j)  +/-  (9.21e-79, 4.33e-191j)
| (0.053091463005500384232 - 1.9277272126601910121e-829j)  +/-  (9.26e-79, 4.47e-191j)
| (0.059815412497675649841 - 3.0344444420065823027e-829j)  +/-  (8.25e-79, 3.77e-191j)
