Starting with polynomial:
P : 2268783825/65536*t^18 - 9917826435/65536*t^16 + 4508102925/16384*t^14 - 4411154475/16384*t^12 + 5019589575/32768*t^10 - 1673196525/32768*t^8 + 156165009/16384*t^6 - 14549535/16384*t^4 + 2078505/65536*t^2 - 12155/65536
Extension levels are: 18 38
-------------------------------------------------
Trying to find an order 38 Kronrod extension for:
P1 : 2268783825/65536*t^18 - 9917826435/65536*t^16 + 4508102925/16384*t^14 - 4411154475/16384*t^12 + 5019589575/32768*t^10 - 1673196525/32768*t^8 + 156165009/16384*t^6 - 14549535/16384*t^4 + 2078505/65536*t^2 - 12155/65536
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2268783825/65536*t^56 - 12447992346353720502687936115544845161782690995438405980911982755296182605334148027668046473677605/25474026261561105345782724914199331331573803400781217869066093667751979144737470253895385088*t^54 + 7567637329989564334033833688767587314297218897973036422722330761735284779354817318577477147534373175/2318136389802060586466227967192139151173216109471090826085014523765430102171109793104480043008*t^52 - 2832542693399544352891793496218902026884187898233188892237619718859103055133647465475644713003062258885/206314138692383392195494289080100384454416233742927083521566292615123279093228771586298723827712*t^50 + 186312331145772231922165837036906676411274375103449516759812650887014173030294369112717863402867654740543/4568384499617060827185944972487937084347788032879099706548967907906301179921494227982328884756480*t^48 - 63404662299929533648783156345006537082514703967167470802326637957765930205646870985223195163903808847234541/696678636191601776145856608304410405363037675014062705248717605955710929938027869767305154925363200*t^46 + 1832207414462237103390171080658873705364087184054090054678357710547518313999006913524680174903524095555325171/11564865360780589484021219697853212729026425405233440907128712258864801436971262638137265571761029120*t^44 - 1655127910146268774875553296642896431912039135667217740208245440351230640741062270779851849743077186059923204493/7505597619146602575129771583906735061138150087996503148726534256003256132594349452151085356072907898880*t^42 + 165068096545386301849080137765815945807634404164035547233067539270298024675679315471281884828056718383629478130853/661358620979417942293165642258858847117980840446153412066634230019363838452832869033774482721655076782080*t^40 - 6761992044514053911503231847972438289046532920031576444334351433099563850326696183714968310586101271738153190878139/29099779323094389460899288259389789273191156979630750130931906120852008891924646237486077239752823378411520*t^38 + 391416337737552471872313493924168052143200270835468595355547890239154419326248167200137279229904784744620404018979177/2182483449232079209567446619454234195489336773472306259819892959063900666894348467811455792981461753380864000*t^36 - 16776217513188271321894927036478046922212563353138222398201029490595702673006886987283801506561382171622454077726229/145498896615471947304496441296948946365955784898153750654659530604260044459623231187430386198764116892057600*t^34 + 818750589599263159116463166832365126178976813026534874085736623604771417861994549839301382921293632039624643109133/13227172419588358845863312845177176942359616808923068241332684600387276769056657380675489654433101535641600*t^32 - 2960987913606148796114764425022931257571089003522433992975859084250214982934772088575763090644604794839339909877/106670745319260958434381555203041749535158200071960227752682940325703844911747236940931368180912109158400*t^30 + 878286665609724310015097617085054173873009661811898392981520853402110604140319544543305981923269481020218027031/84600935942862139447957785161033111700297882815692594424541642327282359757592636194531774764171672780800*t^28 - 1188847219046228366829439357903288010679606728716342193709631581748421236004200712315362215639578685580191057124011/368437076031164617295856154376299201454797279662341248718878852335314676744315930627185879097967634960384000*t^26 + 24430805174837896005919199752732013941252082389139008635537397924627317694695431298421803390885321499590954045921/29474966082493169383668492350103936116383782372987299897510308186825174139545274450174870327837410796830720*t^24 - 1938127751193176301553253890926583152070149914362173773456789736777707512513292144458200930309333178685081706768123/11100528530719818834840716553765230201744187952818086596184099544099115582467007273365857686075115318354247680*t^22 + 1426985961929936036751049274760111311643016099350602963747435007886441338898696395758489547382319869763636833012178481/47809976381810259721658966197066846478912217512787498969764916736434890813685400326386749053925521676151744757760*t^20 - 39058038268917517578017371014487685055755393745455916259489613158491531528686159113846712763297086372172295197673791/9561995276362051944331793239413369295782443502557499793952983347286978162737080065277349810785104335230348951552*t^18 + 231237977209612445788587024828268964838428395387231451682360030182313502911641771632553255743404136571131635256063311/525909740199912856938248628167735311268034392640662488667414084100783798950539403590254239593180738437669192335360*t^16 - 147167188695939538049838909318331695615955164589162192337978880476858788306459226000847602043120620831061911049099/4045459539999329668755758678213348548215649174158942220518569877698336915004149258386571073793697987982070710272*t^14 + 9076879846985847301976332647139569381329087387327098523065686927917035877473947801294022305978842202843540272883/4045459539999329668755758678213348548215649174158942220518569877698336915004149258386571073793697987982070710272*t^12 - 254756764246359691884417199881042866425847623854189177681213168201248049938540949675771724757472565320532660377/2574383343635937061935482795226676348864504019919326867602726285808032582275367709882363410595989628715863179264*t^10 + 4734202763660357926597371222003901045126662412736164581119394863569771268138974874511425669713668500276593191/1608989589772460663709676747016672718040315012449579292251703928630020363922104818676477131622493517947414487040*t^8 - 992445634573821859147505096610111385413461676957791476909233516039599132485899259809452000085649177073548611/18388452454542407585253448537333402491889314427995191911448044898628804159109769356302595789971354490827594137600*t^6 + 1939017373221103758513520530264388502653804830762527757792680317376472709287435018790182359218069395746343/3677690490908481517050689707466680498377862885599038382289608979725760831821953871260519157994270898165518827520*t^4 - 7552187386611760164009410891487455868855889931280302072629460495472943453264875134110522815344969581541/3677690490908481517050689707466680498377862885599038382289608979725760831821953871260519157994270898165518827520*t^2 + 1130596766318028114663543181664565294099272740999266815919871199314086495879496904287777031747727161/848697805594264965473236086338464730394891435138239626682217456859790961189681662598581344152524053422812037120
-------------------------------------------------
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:
| (-0.93773023898902067813 - 1.44646813864523633e-849j)  +/-  (7.76e-236, 7.76e-236j)
| (0.99717592696991523234 - 1.0067616920244960833e-862j)  +/-  (3.52e-235, 3.52e-235j)
| (-0.95582394957139775518 + 8.2151829809939127967e-885j)  +/-  (1.46e-235, 1.46e-235j)
| (0.99967026028546903169 + 6.9802131892687820653e-884j)  +/-  (1.53e-235, 1.53e-235j)
| (0.91663416785922227494 + 9.2804318254044372861e-897j)  +/-  (3.89e-236, 3.89e-236j)
| (0.93773023898902067813 - 6.9403412686795134151e-899j)  +/-  (7.99e-236, 7.99e-236j)
| (-0.99717592696991523234 + 3.4035859959787454958e-901j)  +/-  (3.44e-235, 3.44e-235j)
| (-0.89260246649755573921 - 8.9443387244332668462e-905j)  +/-  (1.34e-236, 1.34e-236j)
| (-0.91663416785922227494 - 5.0323460398165323121e-904j)  +/-  (3.72e-236, 3.72e-236j)
| (0.64974935619976409471 + 1.3468593931436555554e-908j)  +/-  (4.05e-241, 4.05e-241j)
| (0.89260246649755573921 + 3.3881407744590811057e-902j)  +/-  (1.54e-236, 1.54e-236j)
| (-0.99967026028546903169 + 5.5040258023884072911e-903j)  +/-  (1.45e-235, 1.45e-235j)
| (-0.83604731116048173372 + 5.0365640804998321137e-909j)  +/-  (1.42e-237, 1.42e-237j)
| (-0.8657115263865022555 - 5.6252104391231037864e-909j)  +/-  (5.16e-237, 5.16e-237j)
| (0.99156516842093094673 + 3.4122917711245861961e-905j)  +/-  (3.83e-235, 3.83e-235j)
| (0.8657115263865022555 + 6.6282728063715730238e-920j)  +/-  (4.79e-237, 4.79e-237j)
| (0.83604731116048173372 - 6.4802158763319388871e-920j)  +/-  (1.48e-237, 1.48e-237j)
| (0.98278450989513296836 - 5.674588723204814034e-917j)  +/-  (3.35e-235, 3.35e-235j)
| (-0.76878823817372405997 + 5.948795022907607906e-933j)  +/-  (9.29e-239, 9.29e-239j)
| (-0.41175116146284264604 - 8.2172018862165781662e-940j)  +/-  (3.41e-246, 3.41e-246j)
| (0.97085803494380464646 - 6.5152626938044293452e-928j)  +/-  (2.31e-235, 2.31e-235j)
| (0.76878823817372405997 - 2.5339167423917303824e-941j)  +/-  (8.61e-239, 8.61e-239j)
| (-0.97085803494380464646 - 7.3480836548134015269e-935j)  +/-  (2.36e-235, 2.36e-235j)
| (-0.73140904696005427642 + 2.9323057096411887605e-948j)  +/-  (1.64e-239, 1.64e-239j)
| (-0.80370495897252311568 + 3.1561137421055534085e-945j)  +/-  (3.89e-238, 3.89e-238j)
| (0.55977083107394753461 - 4.6527223363534413028e-950j)  +/-  (6.09e-243, 6.09e-243j)
| (0.69168704306035320787 - 3.1289426205354772189e-947j)  +/-  (2.78e-240, 2.78e-240j)
| (0.95582394957139775518 - 1.0617080077830947053e-942j)  +/-  (1.55e-235, 1.55e-235j)
| (-0.98278450989513296836 + 6.010343675889883124e-948j)  +/-  (3.15e-235, 3.15e-235j)
| (-0.64974935619976409471 + 4.4446298766094786408e-963j)  +/-  (4.08e-241, 4.08e-241j)
| (-0.99156516842093094673 - 2.9754412686751938842e-965j)  +/-  (3.72e-235, 3.72e-235j)
| (0.80370495897252311568 - 1.0947613722175122429e-973j)  +/-  (3.99e-238, 3.99e-238j)
| (0.73140904696005427642 + 1.7577234376006946792e-979j)  +/-  (1.55e-239, 1.55e-239j)
| (-0.028288544558292317113 - 6.836486624137483709e-996j)  +/-  (4.9e-255, 4.9e-255j)
| (-0.60573027436364152205 - 5.8788693405765800079e-981j)  +/-  (5.09e-242, 5.09e-242j)
| (-0.69168704306035320787 - 4.0681131397010304936e-983j)  +/-  (2.85e-240, 2.85e-240j)
| (0.084775013041735301242 - 1.3917678695255562256e-996j)  +/-  (1.06e-253, 1.06e-253j)
| (0.60573027436364152205 - 2.2238711833594443636e-985j)  +/-  (5.24e-242, 5.24e-242j)
| (0.028288544558292317113 + 1.3346045626937191884e-999j)  +/-  (4.77e-255, 4.77e-255j)
| (-0.35955767688570423775 + 3.3083887784166338498e-990j)  +/-  (2.5e-247, 2.5e-247j)
| (-0.55977083107394753461 + 2.161282164687926022e-986j)  +/-  (5.82e-243, 5.82e-243j)
| (-0.19675319321292009021 - 2.6522391253885561776e-996j)  +/-  (4.66e-251, 4.66e-251j)
| (0.30621240099091490682 - 8.202097253180034336e-996j)  +/-  (1.67e-248, 1.67e-248j)
| (0.51201830296066211819 + 3.4077394762073867759e-991j)  +/-  (5.83e-244, 5.83e-244j)
| (0.25188622569150550959 + 6.2283969396154027498e-996j)  +/-  (1e-249, 1e-249j)
| (-0.51201830296066211819 - 1.8659483908934807249e-989j)  +/-  (5.89e-244, 5.89e-244j)
| (-0.25188622569150550959 + 1.7862222217632962021e-996j)  +/-  (9.68e-250, 9.68e-250j)
| (0.19675319321292009021 + 6.3278983824389077745e-998j)  +/-  (4.11e-251, 4.11e-251j)
| (0.46262568013755198947 + 3.4528912084431508694e-992j)  +/-  (4.89e-245, 4.89e-245j)
| (0.1409899168208344299 - 5.6533076453480382113e-1000j)  +/-  (1.97e-252, 1.97e-252j)
| (-0.30621240099091490682 - 1.1358408508472184938e-995j)  +/-  (1.6e-248, 1.6e-248j)
| (-0.46262568013755198947 - 5.4445270681838960809e-991j)  +/-  (4.84e-245, 4.84e-245j)
| (-0.084775013041735301242 + 3.8830891007874147012e-1000j)  +/-  (9.73e-254, 9.73e-254j)
| (0.41175116146284264604 - 6.0906762919573098776e-994j)  +/-  (3.6e-246, 3.6e-246j)
| (0.35955767688570423775 + 2.2505747893929574064e-994j)  +/-  (2.4e-247, 2.4e-247j)
| (-0.1409899168208344299 - 4.4077366886917249299e-999j)  +/-  (2.2e-252, 2.2e-252j)
-------------------------------------------------
The weights are:
| (0.019605214303481066735 - 2.1614726390113911377e-852j)  +/-  (1.17e-47, 3.23e-160j)
| (0.004025660142359466983 - 6.2748700480214367389e-852j)  +/-  (3.98e-48, 1.09e-160j)
| (0.016572667226645776339 - 1.4382841059148372854e-849j)  +/-  (3.62e-48, 9.98e-161j)
| (0.0010746270495025930229 + 2.4307473478593454701e-852j)  +/-  (3.5e-48, 9.63e-161j)
| (0.022575810199493418632 - 1.6430204548298199393e-851j)  +/-  (2.08e-49, 5.72e-162j)
| (0.019605214303481066735 + 1.5120722710105217844e-851j)  +/-  (2.41e-49, 6.64e-162j)
| (0.004025660142359466983 - 2.0424163903064236355e-850j)  +/-  (1.87e-50, 5.14e-163j)
| (0.02547485915047321235 - 7.1772857366079910399e-850j)  +/-  (4.72e-50, 1.3e-162j)
| (0.022575810199493418632 + 1.4442303651786583165e-849j)  +/-  (9.2e-50, 2.53e-162j)
| (0.043001343412476177737 - 2.6555939879363878449e-851j)  +/-  (1.3e-52, 3.59e-165j)
| (0.02547485915047321235 + 1.769595860123083068e-851j)  +/-  (3.04e-51, 8.37e-164j)
| (0.0010746270495025930229 + 7.6030505425427966952e-851j)  +/-  (7.85e-51, 2.16e-163j)
| (0.031019877792855197913 - 3.5179990910555541682e-850j)  +/-  (1.02e-51, 2.82e-164j)
| (0.028292686714770015744 + 4.7419691652008951861e-850j)  +/-  (5.4e-51, 1.49e-163j)
| (0.0071979338986103380443 + 8.7246989685783321689e-852j)  +/-  (3.57e-52, 9.83e-165j)
| (0.028292686714770015744 - 1.8936597845028850228e-851j)  +/-  (2.59e-53, 7.13e-166j)
| (0.031019877792855197913 + 2.0167153860211295886e-851j)  +/-  (4.72e-54, 1.3e-166j)
| (0.010359039924942538065 - 1.0627570506577623564e-851j)  +/-  (5.61e-53, 1.55e-165j)
| (0.036167262570926353086 - 2.2875200107014407411e-850j)  +/-  (1.82e-56, 5.02e-169j)
| (0.051561527103125561332 - 8.779240426327529762e-851j)  +/-  (6.03e-59, 1.66e-171j)
| (0.013487501253719500872 + 1.2264175700764831562e-851j)  +/-  (1.97e-53, 5.44e-166j)
| (0.036167262570926353086 + 2.2646001943990659538e-851j)  +/-  (3.09e-56, 8.5e-169j)
| (0.013487501253719500872 + 7.0657468320370088052e-850j)  +/-  (1.52e-55, 4.18e-168j)
| (0.038571172414277526189 + 1.9346859140851932285e-850j)  +/-  (1.07e-57, 2.96e-170j)
| (0.033647523302888509376 + 2.7805829787119270638e-850j)  +/-  (2.53e-56, 6.97e-169j)
| (0.046881025385700562897 - 2.9398670751006345841e-851j)  +/-  (4.79e-60, 1.32e-172j)
| (0.040851642061902179256 + 2.5214788796653181938e-851j)  +/-  (2.07e-58, 5.71e-171j)
| (0.016572667226645776339 - 1.374341252277602918e-851j)  +/-  (7.66e-55, 2.11e-167j)
| (0.010359039924942538065 - 4.5301822651424862008e-850j)  +/-  (7.04e-57, 1.94e-169j)
| (0.043001343412476177737 + 1.4638823341758701438e-850j)  +/-  (1.25e-61, 3.43e-174j)
| (0.0071979338986103380443 + 3.1266915047404863676e-850j)  +/-  (6.75e-57, 1.86e-169j)
| (0.033647523302888509376 - 2.1400073500701776593e-851j)  +/-  (4.03e-59, 1.11e-171j)
| (0.038571172414277526189 - 2.3914523332824120801e-851j)  +/-  (4.68e-60, 1.29e-172j)
| (0.056561980694635468642 + 5.3186492730546557254e-851j)  +/-  (9.89e-67, 2.72e-179j)
| (0.045013306119766495912 - 1.2992653677751844669e-850j)  +/-  (1.09e-63, 3e-176j)
| (0.040851642061902179256 - 1.6698455112089413898e-850j)  +/-  (4.2e-62, 1.16e-174j)
| (0.056380789163542299113 + 4.7229392602762315103e-851j)  +/-  (9.76e-68, 2.69e-180j)
| (0.045013306119766495912 + 2.7947333437336080943e-851j)  +/-  (1.82e-64, 5.01e-177j)
| (0.056561980694635468642 - 5.0071504709335361128e-851j)  +/-  (1.45e-67, 3.99e-180j)
| (0.052797570825181013009 + 8.082130770104426762e-851j)  +/-  (1.38e-67, 3.81e-180j)
| (0.046881025385700562897 + 1.1647954776656281719e-850j)  +/-  (6.57e-66, 1.81e-178j)
| (0.055477775563879936129 - 6.4648493150305401847e-851j)  +/-  (8.73e-69, 2.4e-181j)
| (0.053864489448466584259 + 3.7943582323153996052e-851j)  +/-  (1.45e-69, 4e-182j)
| (0.048598524077682586869 + 3.0920150706384578727e-851j)  +/-  (3.1e-68, 8.55e-181j)
| (0.054758844391795280502 - 4.0005213185349542849e-851j)  +/-  (9.67e-70, 2.66e-182j)
| (0.048598524077682586869 - 1.052975958852689033e-850j)  +/-  (2.55e-68, 7.01e-181j)
| (0.054758844391795280502 + 6.9390210245523158533e-851j)  +/-  (7.2e-70, 1.98e-182j)
| (0.055477775563879936129 + 4.2224547409575250178e-851j)  +/-  (2.34e-70, 6.43e-183j)
| (0.050160347237129642602 - 3.252270629283222979e-851j)  +/-  (1.9e-70, 5.24e-183j)
| (0.05601899856977069839 - 4.4623932821485051935e-851j)  +/-  (1.94e-70, 5.34e-183j)
| (0.053864489448466584259 - 7.4739994859027001768e-851j)  +/-  (8.96e-71, 2.47e-183j)
| (0.050160347237129642602 + 9.5859665866570427309e-851j)  +/-  (2.09e-70, 5.76e-183j)
| (0.056380789163542299113 - 5.6617628355479606136e-851j)  +/-  (1.15e-71, 3.16e-184j)
| (0.051561527103125561332 + 3.4218306226923813243e-851j)  +/-  (3.24e-72, 8.97e-185j)
| (0.052797570825181013009 - 3.6020271193648579159e-851j)  +/-  (2.83e-72, 7.85e-185j)
| (0.05601899856977069839 + 6.0417095039254756846e-851j)  +/-  (2.81e-72, 7.64e-185j)
