Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 13 32
-------------------------------------------------
Trying to find an order 13 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P2 : 3/2*t^15 - 9527/1738*t^13 + 347711/43450*t^11 - 323869/54510*t^9 + 42861/18170*t^7 - 165711/345230*t^5 + 252343/5868910*t^3 - 32643/29344550*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^47 - 888175413847264309058284086096461213673771376866780642241246255210687818518583762207640244545477290603763/49489500514285790401109211815303530531408326496830650377226011890031968618254391899215225739170719948050*t^45 + 20311733421883594809897630731447172339028487782296665181712902580498417103279910398862409326528742402547837131/201966651598800310626926693418253708098677380433565884189459354523220463931096173340697336241555708107992050*t^43 - 144255748310942603387345728977424597284129187274418395996266214654514834273240862695384710249692276207488049313/411325234956234398856491790019465934439455113633885655521626194276924793720355252671432001200334824659133750*t^41 + 3098757688598898943933102883967816097490159467520987555475057935287431781707147869814171125708261453456527444095487/3633235800368418445099391981241942598903707018728111995222524174048076702931897946846758866602557506214128413750*t^39 - 16565105921998287209170559981897135893532469631581160459086096078163562409560834133297196666605046591506627728121198317/10782717208333392261365975521929837245026421690181290779421407243739882038961286726651810964303070166942290306327250*t^37 + 49505178103644525676837140246769373063443342443514599664840479033102255119913147059695788536605610432415919084453488754513/23299181841480390488967375002780498320766302236336468049955046020617939847871348766457373638919081352832406764540276250*t^35 - 805521248928009732465094997507472983489953248269284519438657949429750565038468510457291841824678599161029863744213358773413/348939511578876906970064333865171463086300032315956750912856159814666322662826199761179254615811653672419456603056137250*t^33 + 52846573639759539342921849286288221179243815065569641217631606150134226886308069270203691393584524840403372388516822438187/26434811483248250528035176807967535082295456993633087190367890895050478989608045436452973834531185884274201257807283125*t^31 - 2318572740973413973355879417785695448940059348289481233659571344963522754892281173091030793521038598232451815905137338949853/1665393123444639783266216138901954710184613790598884492993177126388180176345306862496537351575464710709274679241858836875*t^29 + 37268649078503714822163852630947317910105615266109180645252158588565979611410858356082687203139865506584826208308679581207/47582660669846850950463318254341563148131822588539556942662203611090862181294481785615352902156134591693562264053109625*t^27 - 3909975709087685175632796846239598079034482860226025860745295236634061903598342604879127996774828497422578380019330771/10973354704544728322139965466155058149562248648249517306088788250332286836699064108116635049618591068606974370198125*t^25 + 114233025604133585504552650147854015700242205071983351055634702884919673556374999506084344703288772387827496912821848413/873498118576898713100292798871970724458458578920049837594765090445146262265309327465402613662769620523843171997110225*t^23 - 15290565361141758359279224322735853308616730898318580014105572728977710588666929122060184973416728696825489704283904251/397044599353135778681951272214532147481117535872749926179438677475066482847867876120637551664895282056292350907777375*t^21 + 63253862305564004102014402189346704597263487248842045209068742158902209932693264384194416130827781515032745519731987773/7014454588572065423381139142456734605499743133751915362503416635392841196978999144797930079413149982994498199370733625*t^19 - 10358817886424923163081552410206874346674126605381038943075441019486428931173856931329621310504025727364876143274108951/6250408734073140219369829707260074268607780266093811995786797340553712499092957132687217329344349206814777114038818475*t^17 + 11097938413845187206608881454614857922593828989399436699333935787450517579011402438079511149179324846718246988526330285960593/47266653416545878772711945117350915831837697694846642260179045244815068049265787640093294271447957241298503048470931907090750*t^15 - 11262484017613044590339046347225021892179802578793920254410364262515087043794949611195355954117596614766746575451477638897/450158603967103607359161382070008722207978073284253735811229002331572076659674168000888516870932926107604790937818399115150*t^13 + 2066708831427451953495910022052262501105980119307093303739299115360264785047040979190805842393100450180092901594943039831/1066165114658929596376961168060546973650474384094285163763437110785302286825544082107367539957472719728537662747464629483250*t^11 - 191747016270618059313936226750413614974653870096507080108491211722511931150076208152615829041526247611239501077305495567/1841557925319969302832932926650035681759910299799219828318664100447340313607757960003634841744725606803837781109257087289250*t^9 + 147918664325412940240075844884527183493962346448343795086613016291606542611259699743137352888184096894090006159610813/40923509451554873396287398370000792927998006662204885073748091121052006969061288000080774260993902373418617357983490828650*t^7 - 44544857647794718991130187642683002105036503219560992836781700987296483124289635153955144888630373261594473957753051/613852641773323100944310975550011893919970099933073276106221366815780104535919320001211613914908535601279260369752362429750*t^5 + 1541451181460179484226069372143901076862348306179224611509754073538433691677444669771859183111381591792606399209/2232191424630265821615676274727315977890800363392993731295350424784654925585161163640769505145121947641015492253644954290*t^3 - 540390868244218560325772864857035615721881424146921879241951791206880222396086323028149072684042997951920809/274283166698678115131410893045907877129358647862708044143960734632790134008352197803977028277007850320293746302452008370*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:
| (0.99613379387344351762 - 8.1595578751730538948e-858j)  +/-  (2.81e-238, 2.81e-238j)
| (-0.97641432639022051899 + 4.9435434041024578865e-877j)  +/-  (2.13e-238, 2.13e-238j)
| (-0.93941947667002316119 - 6.9831904983856177551e-881j)  +/-  (7.5e-239, 7.5e-239j)
| (0.068518872404975251925 - 6.6292040855011959293e-896j)  +/-  (2.08e-254, 2.08e-254j)
| (0.93941947667002316119 - 5.473051760670036099e-879j)  +/-  (7.53e-239, 7.53e-239j)
| (0.9600565767082869838 - 6.7929833272756328235e-898j)  +/-  (1.37e-238, 1.37e-238j)
| (-0.9884484796115023493 + 7.9384146709303286567e-914j)  +/-  (2.96e-238, 2.96e-238j)
| (-0.88556270750838249193 + 3.6116763171708841225e-918j)  +/-  (1.14e-239, 1.14e-239j)
| (-0.99954895650018362233 - 8.411751936761090133e-915j)  +/-  (1.15e-238, 1.15e-238j)
| (0.99954895650018362233 - 7.0928849616618818546e-915j)  +/-  (1.2e-238, 1.2e-238j)
| (0.85251573770951683235 - 1.1685873024904027679e-930j)  +/-  (4.06e-240, 4.06e-240j)
| (-0.57735026918962576451 - 1.6840654927197239803e-942j)  +/-  (1.07e-244, 1.07e-244j)
| (-0.9600565767082869838 + 3.4524192501667402796e-935j)  +/-  (1.36e-238, 1.36e-238j)
| (-0.85251573770951683235 - 8.6163181981921756493e-939j)  +/-  (3.75e-240, 3.75e-240j)
| (0.9884484796115023493 - 1.0247027353790065727e-933j)  +/-  (2.83e-238, 2.83e-238j)
| (0.81553891723383030685 - 2.0431851737197850437e-950j)  +/-  (1.03e-240, 1.03e-240j)
| (0.91456263162865821536 - 3.2430259732673613345e-948j)  +/-  (3.29e-239, 3.29e-239j)
| (0.88556270750838249193 + 5.0386026628267855889e-955j)  +/-  (1.12e-239, 1.12e-239j)
| (-0.73037509973747927166 + 1.018662265673461228e-962j)  +/-  (4.46e-242, 4.46e-242j)
| (-0.99613379387344351762 - 4.1074808433139226441e-958j)  +/-  (2.85e-238, 2.85e-238j)
| (1.1656023541410137787e-980 - 1.1313679988602322632e-980j)  +/-  (7.63e-979, 7.63e-979j)
| (0.77477153091614443533 + 2.6607230468701179019e-961j)  +/-  (2.14e-241, 2.14e-241j)
| (0.97641432639022051899 - 4.4971300423329942203e-964j)  +/-  (2.2e-238, 2.2e-238j)
| (-0.33592368482877212748 - 7.8850019707966678833e-990j)  +/-  (3.11e-249, 3.11e-249j)
| (-0.77477153091614443533 + 1.4498082798004271548e-980j)  +/-  (2.18e-241, 2.18e-241j)
| (0.13670197711468910762 + 2.0135951687036163054e-993j)  +/-  (5.03e-253, 5.03e-253j)
| (0.73037509973747927166 + 7.5626579532847304279e-982j)  +/-  (4.37e-242, 4.37e-242j)
| (0.68253300275030210666 + 3.8692443656986473808e-983j)  +/-  (6.88e-243, 6.88e-243j)
| (-0.81553891723383030685 + 5.2672135956381524472e-979j)  +/-  (1.03e-240, 1.03e-240j)
| (-0.68253300275030210666 - 1.0168958549212921355e-982j)  +/-  (6.81e-243, 6.81e-243j)
| (-0.39948019139974547251 - 1.9655410728318578697e-989j)  +/-  (5.85e-248, 5.85e-248j)
| (0.52047837372247234656 - 1.1719614741236531875e-987j)  +/-  (1.06e-245, 1.06e-245j)
| (0.57735026918962576451 + 3.2946555655307186754e-986j)  +/-  (1.06e-244, 1.06e-244j)
| (0.2042156837128657121 + 2.3151029276147887558e-993j)  +/-  (1.03e-251, 1.03e-251j)
| (-0.63144978931201293446 + 2.4372592312934293769e-984j)  +/-  (8.87e-244, 8.87e-244j)
| (-0.91456263162865821536 + 4.0017495244389007749e-989j)  +/-  (3.29e-239, 3.29e-239j)
| (0.27073060884497787264 - 1.8611141296370345997e-1002j)  +/-  (1.83e-250, 1.83e-250j)
| (0.63144978931201293446 + 1.1772208674399860119e-995j)  +/-  (9.34e-244, 9.34e-244j)
| (0.33592368482877212748 - 5.1730736657417475631e-1001j)  +/-  (3.1e-249, 3.1e-249j)
| (-0.2042156837128657121 - 4.7171095640406875058e-1006j)  +/-  (9.96e-252, 9.96e-252j)
| (-0.52047837372247234656 - 6.1555824280283179167e-999j)  +/-  (1e-245, 1e-245j)
| (-0.13670197711468910762 - 1.6075279464420784658e-1006j)  +/-  (5.08e-253, 5.08e-253j)
| (0.39948019139974547251 + 8.4541817399295137999e-1000j)  +/-  (5.74e-248, 5.74e-248j)
| (0.4610957631274546367 - 1.6917968985443995181e-998j)  +/-  (8.67e-247, 8.67e-247j)
| (-0.068518872404975251925 + 1.3496699273121120829e-1006j)  +/-  (2.4e-254, 2.4e-254j)
| (-0.4610957631274546367 - 3.5131640587982250323e-1000j)  +/-  (8.49e-247, 8.49e-247j)
| (-0.27073060884497787264 - 3.1509370010943106209e-1004j)  +/-  (1.88e-250, 1.88e-250j)
-------------------------------------------------
The weights are:
| (0.0055127931857943789021 + 5.0630960588998103823e-859j)  +/-  (3.28e-66, 1.95e-180j)
| (0.014202057856493082534 + 3.6858287636838514715e-860j)  +/-  (1.42e-66, 8.43e-181j)
| (0.022758249933521962532 + 4.468681825504669463e-860j)  +/-  (1.19e-66, 7.06e-181j)
| (0.068406842681887544502 - 8.2973905303922022321e-860j)  +/-  (3.25e-67, 1.93e-181j)
| (0.022758249933521962532 + 1.5250772906866771226e-858j)  +/-  (1.1e-67, 6.56e-182j)
| (0.018506050325174132503 - 2.2398870450411472485e-858j)  +/-  (1.34e-67, 7.95e-182j)
| (0.0098616217075123701311 - 3.093907244646730663e-860j)  +/-  (4.71e-68, 2.8e-182j)
| (0.031041170057135544807 + 4.9104335728738915865e-860j)  +/-  (7.57e-69, 4.5e-183j)
| (0.0014706624510019338942 - 8.804276043252538896e-861j)  +/-  (1.02e-68, 6.08e-183j)
| (0.0014706624510019338942 + 5.1448624119603273789e-858j)  +/-  (3.66e-69, 2.17e-183j)
| (0.035033252195995437536 - 6.4976087881082511859e-859j)  +/-  (2.05e-70, 1.22e-184j)
| (0.055527891151815254291 - 5.4788290857717058805e-860j)  +/-  (3.21e-71, 1.9e-185j)
| (0.018506050325174132503 - 4.1309318645372604508e-860j)  +/-  (2.91e-68, 1.73e-182j)
| (0.035033252195995437536 - 5.0478683380440254782e-860j)  +/-  (9.23e-70, 5.48e-184j)
| (0.0098616217075123701311 - 7.9894110562782299107e-858j)  +/-  (8.29e-70, 4.92e-184j)
| (0.038897176348427405988 + 5.1649229358910839662e-859j)  +/-  (6.96e-72, 4.13e-186j)
| (0.026942703277473695795 - 1.1061902642930998753e-858j)  +/-  (5.29e-71, 3.14e-185j)
| (0.031041170057135544807 + 8.3565658782062576862e-859j)  +/-  (2.31e-71, 1.37e-185j)
| (0.046151618250375675289 + 5.2872338206661912332e-860j)  +/-  (3.32e-74, 1.97e-188j)
| (0.0055127931857943789021 + 2.257826977159241181e-860j)  +/-  (5.76e-71, 3.42e-185j)
| (0.068574905152472865154 + 7.7137914426678968383e-860j)  +/-  (1.29e-75, 7.66e-190j)
| (0.042610669279649748516 - 4.179884837736167979e-859j)  +/-  (9.61e-74, 5.71e-188j)
| (0.014202057856493082534 + 3.6869528072215576896e-858j)  +/-  (5.21e-71, 3.1e-185j)
| (0.064426448355383086893 - 6.0033967998979207379e-860j)  +/-  (5.75e-77, 3.41e-191j)
| (0.042610669279649748516 - 5.2248347420386114678e-860j)  +/-  (1.05e-74, 6.22e-189j)
| (0.067903726470546756519 + 9.0002381040235632787e-860j)  +/-  (1.13e-76, 6.7e-191j)
| (0.046151618250375675289 + 3.4348664466685133966e-859j)  +/-  (3.49e-75, 2.08e-189j)
| (0.049498469051133752102 - 2.8611652856492088879e-859j)  +/-  (3.69e-76, 2.19e-190j)
| (0.038897176348427405988 + 5.1486044622831885921e-860j)  +/-  (2.83e-75, 1.68e-189j)
| (0.049498469051133752102 - 5.3450970670195033502e-860j)  +/-  (1.12e-76, 6.68e-191j)
| (0.062635804078141105852 + 5.824592344191788973e-860j)  +/-  (2.83e-78, 1.68e-192j)
| (0.058172262348782734386 + 1.7754941042468056464e-859j)  +/-  (6.5e-79, 3.86e-193j)
| (0.055527891151815254291 - 2.0585457026316737578e-859j)  +/-  (1.89e-78, 1.12e-192j)
| (0.067068755037648269759 - 9.8475628761217455929e-860j)  +/-  (8.57e-80, 5.09e-194j)
| (0.052630470632900167439 + 5.4065557807789326992e-860j)  +/-  (9.4e-79, 5.58e-193j)
| (0.026942703277473695795 - 4.722530712776231595e-860j)  +/-  (3.94e-77, 2.34e-191j)
| (0.065907216788948426606 + 1.0871371885644757148e-859j)  +/-  (1.38e-80, 8.17e-195j)
| (0.052630470632900167439 + 2.412944170928103535e-859j)  +/-  (1.94e-79, 1.15e-193j)
| (0.064426448355383086893 - 1.2112613083874919653e-859j)  +/-  (4.83e-81, 2.87e-195j)
| (0.067068755037648269759 - 6.4968274058211190982e-860j)  +/-  (7.82e-83, 4.65e-197j)
| (0.058172262348782734386 + 5.5684862100888817448e-860j)  +/-  (3.49e-82, 2.08e-196j)
| (0.067903726470546756519 + 6.8280779819084381725e-860j)  +/-  (6.85e-83, 4.07e-197j)
| (0.062635804078141105852 + 1.362412378030944647e-859j)  +/-  (2.45e-82, 1.45e-196j)
| (0.060546635958021100647 - 1.5474714639658698119e-859j)  +/-  (2.82e-82, 1.68e-196j)
| (0.068406842681887544502 - 7.2293842950186898272e-860j)  +/-  (1.64e-83, 9.73e-198j)
| (0.060546635958021100647 - 5.6817135003761193384e-860j)  +/-  (5.03e-84, 3.05e-198j)
| (0.065907216788948426606 + 6.2249186057747548489e-860j)  +/-  (5.02e-84, 2.95e-198j)
