Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 14 34
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 34 Kronrod extension for:
P2 : 3/2*t^16 - 10827/1972*t^14 + 47593/5916*t^12 - 889889/147900*t^10 + 549549/226780*t^8 - 1001/1972*t^6 + 11011/226780*t^4 - 3861/2525860*t^2 + 1859/366249700
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^50 - 888713603982063206210568101558648569041162981520131071368527884236837307388390882225278339115703372318314056021871/49446602192499766163664176361728533108125910521122458582772449986553097778846678258459434638963891591391576895524*t^48 + 374249626425818971929663657369608785154922278266248181889278437925081761032903037887258459211556192407479712006881261/3708495164437482462274813227129639983109443289084184393707933748991482333413500869384457597922291869354368267164300*t^46 - 379013216330120338251948417376852803901092433862217215968658215213499787480787596854638302889742853511423045518740039491/1074227432632057419905604231458552381774035406071385412710731475957866049245444085165031217531490544822982008055258900*t^44 + 233960009855078582747076447888369982410048726857128097015780992489666978658479663787110131370670524784007281044639719456411/271779540455910527236117870559013752588830957736060509415815063417340110459097353546752898035467107840214448037980501700*t^42 - 16750274482585104051888667192380148950568120846258856751057154949270280946237903832193881335211416447862843817333091775989/10758160042544183329485142607196642732357452842597919964626862218145240831664445775683314608699367188130258526284592500*t^40 + 175076475465323732753607054706245193973277569623955421594513249625553998100753885944552026603937293373667773452267205240914369/80885772463378294605887695476371092982014382729293700840752960027822222105095973913260535576863249248753053804534350852100*t^38 - 109750416003987103416834662318914104315656438186482187283085015183878696970130692754312537954065438620212689526798900805037192919261/46373835497566360754920563008990456883913395978272311034524690807951175488404149243820096559605122375541344572484656702280232500*t^36 + 88128599411352660338479137081459701279869611849280265899882114559375903303355586297030732377531036617161421074765811012548567604169/42663928657761051894526917968271220333200324300010526151762715543315081449331817304314488834836712585498037006685884166097813900*t^34 - 166524840318736278972775797608131649952419919555367670337179497528985466851371304492773354763134464231733871384475312556033408639679/114645048933288388112298268871958760521032957009386574284816922783507103894594856659989468660456941573330286608875170018524874250*t^32 + 474054272681519113557340167819755587896293652417231140391753106627108225478117965684035975775800541667371536075997798738301318804419/573225244666441940561491344359793802605164785046932871424084613917535519472974283299947343302284707866651433044375850092624371250*t^30 - 13125595539247262887415475670397021031347175098914093964046266466288046113681390047478801790595240040122874593103945330865191257/34376326516728152357510725298938159076771501352139902334277937866119071632562175910041819688292936003997087438943079465824550*t^28 + 940439962546660867031361906525086555997663071251885647315247678030049035881275064032697252965109664152391562312817764658847827297/6588795915706229201856222348963147156381204425826814614069938091006155396241083716091348773589479400766108425797423564283038750*t^26 - 11334590253815734668669807222471288814725305314155352728924830110472501086650463139368393003699249963044281501681378586053810319/263551836628249168074248893958525886255248177033072584562797523640246215849643348643653950943579176030644337031896942571321550*t^24 + 346190923966957028955751938943925399035846924246906500226088749000048120350679924670009641838612113456081551488465132362498264281/33397747088551957620400253318761719481719405946982319781162159234863548726755239302469295887832863759083303683181166470364077810*t^22 - 1107314483874915578496090644628403951487013130076293458012120035454049697541417811321896027888627916425906302366751447696309975661167/560247207410459089082214249422227844305843034760628414328995221164836029891319139298922438518396289558622419285364067540357405262750*t^20 + 834371339108714807984294261843452026667405791526295328269811277504128763361853759176714335173920508334993604057600315286490431273/2841445166770749447019842604725174712747337879647206311907822652797732974568412859602190358035885487713587389676966084175975356835*t^18 - 104105840241012973397891767540525838052316796162761971355965252197933332459780215858081542273295586025445820597743043665679603221723/3125589683447824391721826865197692184022071667611926943098604918077506272025254145562409393839474036484946128644662692593572892518500*t^16 + 1754765997714470235862296389248766746953025686615585823323040250098112919978455778526897727617489793065703757786284595470838718679/625117936689564878344365373039538436804414333522385388619720983615501254405050829112481878767894807296989225728932538518714578503700*t^14 - 114765538628982744441432116871226021833305439117119293065235033715311520340616622253659692920445120255849599765171317390460349/677267537041782100048066493000583355151044781714393703813348844653847512898213249309297810149398491112664383238280106737502251900*t^12 + 152263922415499364652001951634856976269706841173345388271515053752544169217540148972846481373723228098036417452965975712737089/21857270513621149592460327728655190098056445228055433168521712713828715188987791227709156600276042213181441459053585262892118129500*t^10 - 158660300212630485726293243581581964243186183151742802863332645669122605656532974695166740032231525277204428324482385437739/874290820544845983698413109146207603922257809122217326740868508553148607559511649108366264011041688527257658362143410515684725180*t^8 + 58743605843063864528854885647674945849676011950584178212621942901108669951850397666541403088682072104382720197620369151819/21857270513621149592460327728655190098056445228055433168521712713828715188987791227709156600276042213181441459053585262892118129500*t^6 - 6371150164016198230123300367874297257647164210074573824385606775761133693254031348670550212820284631999812633665199899/336265700209556147576312734287002924585483772739314356438795580212749464445966018887833178465785264818176022446978234813724894300*t^4 + 3371496925051412548730931713892344503032860746576994212243230360146895118261416117428557247299094643415424556906978681/74314719746311908614365114277427646333391913775388472772973823227017631642558490174211132440938543524816900960782189893833201640300*t^2 - 46616012652778957638467620112490113039402619700938332634200452189824123717594019554170342843890211596926707256/3270318594715362991302812633226000982810768956846878752551215597034748796099211854172290637253060355783176419678850109744464075
-------------------------------------------------
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:
| (-0.98812513120329170302 + 2.3945748924805521592e-904j)  +/-  (3e-238, 3e-238j)
| (-0.99602160755498502094 + 1.1666886286261184598e-904j)  +/-  (2.51e-238, 2.51e-238j)
| (-0.91271173279292891538 + 1.3148874185744418965e-904j)  +/-  (3.58e-239, 3.58e-239j)
| (0.99953474521224716876 + 2.9797513294217125931e-902j)  +/-  (1.05e-238, 1.05e-238j)
| (0.95904079763666520468 + 5.5832711631766764187e-911j)  +/-  (1.35e-238, 1.35e-238j)
| (0.93798437900993878791 - 1.4930919467491104421e-917j)  +/-  (7.75e-239, 7.75e-239j)
| (0.97578081760878163431 + 1.1437298646931662698e-927j)  +/-  (2.09e-238, 2.09e-238j)
| (-0.88334272754919556811 - 6.4569646927726084939e-944j)  +/-  (1.32e-239, 1.32e-239j)
| (-0.97578081760878163431 - 9.8276619078646657241e-942j)  +/-  (2.37e-238, 2.37e-238j)
| (-0.95904079763666520468 + 1.0723096966486546092e-941j)  +/-  (1.34e-238, 1.34e-238j)
| (0.88334272754919556811 + 6.8699030566247777023e-944j)  +/-  (1.28e-239, 1.28e-239j)
| (-0.99953474521224716876 - 4.7506429445910290714e-944j)  +/-  (1.06e-238, 1.06e-238j)
| (-0.93798437900993878791 + 1.1415608518494549294e-953j)  +/-  (7.95e-239, 7.95e-239j)
| (-0.77215204949220925173 + 1.132914515001665054e-963j)  +/-  (2.8e-241, 2.8e-241j)
| (0.98812513120329170302 - 3.5718971500594449877e-959j)  +/-  (2.73e-238, 2.73e-238j)
| (0.85001680456214491633 - 5.4987840478325089715e-973j)  +/-  (4.4e-240, 4.4e-240j)
| (0.81289331661082283806 + 4.1306149368965743033e-975j)  +/-  (1.25e-240, 1.25e-240j)
| (-0.061237645707923134607 + 8.3589403340245941703e-994j)  +/-  (2.98e-254, 2.98e-254j)
| (-0.81289331661082283806 - 1.5095109225335807255e-983j)  +/-  (1.24e-240, 1.24e-240j)
| (-0.11006232491545754184 + 1.3459213746431772309e-994j)  +/-  (3.22e-253, 3.22e-253j)
| (0.91271173279292891538 - 5.1800000803105626699e-982j)  +/-  (3.5e-239, 3.5e-239j)
| (0.72799373091578229991 - 1.4794834497989304469e-990j)  +/-  (5.47e-242, 5.47e-242j)
| (0.11006232491545754184 - 1.2642750194256951528e-1004j)  +/-  (3.27e-253, 3.27e-253j)
| (-0.72799373091578229991 - 9.422034910323972687e-996j)  +/-  (5.57e-242, 5.57e-242j)
| (-0.68064050624185749611 + 1.9003483101944105644e-996j)  +/-  (9.23e-243, 9.23e-243j)
| (0.16495955518282143809 + 1.9752565546054772091e-1004j)  +/-  (4e-252, 4e-252j)
| (0.77215204949220925173 - 8.1434887965077850868e-994j)  +/-  (2.91e-241, 2.91e-241j)
| (0.99602160755498502094 - 1.3877251867584196921e-1012j)  +/-  (2.52e-238, 2.52e-238j)
| (-0.16495955518282143809 - 1.0670037267259591326e-1037j)  +/-  (3.89e-252, 3.89e-252j)
| (-0.63033665828686547086 - 6.0775649069965734578e-1028j)  +/-  (1.38e-243, 1.38e-243j)
| (-0.85001680456214491633 - 6.2023451426637123379e-1032j)  +/-  (4.81e-240, 4.81e-240j)
| (0.68064050624185749611 + 1.8712186318330261943e-1035j)  +/-  (9.58e-243, 9.58e-243j)
| (0.63033665828686547086 + 1.2917620562304956222e-1038j)  +/-  (1.38e-243, 1.38e-243j)
| (0.28428093377362187994 - 1.4767047753286048212e-1044j)  +/-  (8.36e-250, 8.36e-250j)
| (-0.57735026918962576451 - 1.2948995322579949937e-1037j)  +/-  (1.77e-244, 1.77e-244j)
| (-0.40545074306610185911 - 4.4886578994474430697e-1042j)  +/-  (1.49e-247, 1.49e-247j)
| (-0.019178594834030051574 - 4.6588746328826949888e-1049j)  +/-  (3.35e-255, 3.35e-255j)
| (0.57735026918962576451 + 7.943347841885100967e-1040j)  +/-  (1.67e-244, 1.67e-244j)
| (0.019178594834030051574 - 5.2919837874337560246e-1050j)  +/-  (3.35e-255, 3.35e-255j)
| (-0.28428093377362187994 + 2.1616196699072264e-1045j)  +/-  (8.32e-250, 8.32e-250j)
| (-0.52197711285902380162 + 1.9759467058265845683e-1040j)  +/-  (1.87e-245, 1.87e-245j)
| (-0.22374161346734564129 + 3.272727891443562847e-1046j)  +/-  (6.17e-251, 6.17e-251j)
| (0.40545074306610185911 + 2.7019636597813068981e-1043j)  +/-  (1.52e-247, 1.52e-247j)
| (0.52197711285902380162 - 1.7444171502281105651e-1041j)  +/-  (1.96e-245, 1.96e-245j)
| (0.22374161346734564129 - 8.0320381030897463936e-1048j)  +/-  (5.3e-251, 5.3e-251j)
| (-0.46454901524654278681 + 2.1619019660234892488e-1044j)  +/-  (1.76e-246, 1.76e-246j)
| (-0.34515341027287527223 + 1.1760739348201240271e-1046j)  +/-  (1.14e-248, 1.14e-248j)
| (0.061237645707923134607 - 3.0329876553778900945e-1051j)  +/-  (3.06e-254, 3.06e-254j)
| (0.46454901524654278681 + 3.61474094812223686e-1046j)  +/-  (1.83e-246, 1.83e-246j)
| (0.34515341027287527223 - 2.103672382695349124e-1047j)  +/-  (1.23e-248, 1.23e-248j)
-------------------------------------------------
The weights are:
| (0.010125958392985031277 - 4.6062645231279289632e-905j)  +/-  (6.19e-60, 3.3e-174j)
| (0.0056680976331542573625 + 1.8238316227440010938e-904j)  +/-  (4.38e-60, 2.33e-174j)
| (0.027342429065037024633 + 2.4144607324614009499e-904j)  +/-  (1.34e-60, 7.15e-175j)
| (0.0015148774537329079375 - 2.4119045062683289713e-902j)  +/-  (1.3e-61, 6.92e-176j)
| (0.018913242639332620751 - 6.2519532800975117554e-903j)  +/-  (1.42e-61, 7.55e-176j)
| (0.023182884111546548553 + 4.8795028578070012819e-903j)  +/-  (6.35e-62, 3.38e-176j)
| (0.01455351827033592676 + 8.8355596556441664672e-903j)  +/-  (8.95e-62, 4.76e-176j)
| (0.031372347505654799995 - 4.0411562544381794911e-904j)  +/-  (1.13e-62, 6e-177j)
| (0.01455351827033592676 - 2.6118885037188957237e-904j)  +/-  (1.87e-62, 9.98e-177j)
| (0.018913242639332620751 + 1.6172804137422398856e-904j)  +/-  (6.69e-63, 3.56e-177j)
| (0.031372347505654799995 + 3.6065199121503624734e-903j)  +/-  (5.55e-66, 2.95e-180j)
| (0.0015148774537329079375 + 3.2066282569131291159e-905j)  +/-  (7e-63, 3.73e-177j)
| (0.023182884111546548553 - 9.2266733842059690238e-905j)  +/-  (2.3e-63, 1.23e-177j)
| (0.042485015624824370951 + 4.931176450381347649e-904j)  +/-  (1.18e-66, 6.28e-181j)
| (0.010125958392985031277 - 1.4624457479299272068e-902j)  +/-  (2.69e-66, 1.43e-180j)
| (0.035252948875229719416 - 3.3334575476507670577e-903j)  +/-  (1e-67, 5.33e-182j)
| (0.038964071308759244357 + 3.2071826592991615189e-903j)  +/-  (1.7e-68, 9.02e-183j)
| (0.045380023117269662847 - 2.3307061692361475619e-901j)  +/-  (5.97e-71, 3.18e-185j)
| (0.038964071308759244357 - 4.2155559790025293999e-904j)  +/-  (3.88e-68, 2.06e-182j)
| (0.052146462568236634015 + 1.1300185395062408444e-901j)  +/-  (4.98e-71, 2.65e-185j)
| (0.027342429065037024633 - 4.0828308038290922608e-903j)  +/-  (5.02e-68, 2.67e-182j)
| (0.045794607694441326042 + 3.3157524222841031628e-903j)  +/-  (9.41e-71, 5.01e-185j)
| (0.052146462568236634015 - 1.3969169740197908909e-901j)  +/-  (2.21e-72, 1.18e-186j)
| (0.045794607694441326042 - 6.0021807751721951434e-904j)  +/-  (2.84e-70, 1.51e-184j)
| (0.048871152601722562688 + 7.5566837264079352201e-904j)  +/-  (3.83e-71, 2.04e-185j)
| (0.057246432602156633568 + 6.983173710634299265e-902j)  +/-  (1e-72, 5.32e-187j)
| (0.042485015624824370951 - 3.202807636480036105e-903j)  +/-  (3.89e-71, 2.07e-185j)
| (0.0056680976331542573625 + 3.3471066781187038842e-902j)  +/-  (1.48e-69, 7.87e-184j)
| (0.057246432602156633568 - 5.074551902874636138e-902j)  +/-  (4.81e-73, 2.56e-187j)
| (0.051691922799281510492 - 9.8327376830300324752e-904j)  +/-  (1.85e-72, 9.84e-187j)
| (0.035252948875229719416 + 3.8281888487326706381e-904j)  +/-  (3.69e-70, 1.96e-184j)
| (0.048871152601722562688 - 3.5587815282858124297e-903j)  +/-  (3.05e-73, 1.62e-187j)
| (0.051691922799281510492 + 3.9647666374897248995e-903j)  +/-  (4.16e-74, 2.21e-188j)
| (0.060890808710798654118 + 2.1477277859389781977e-902j)  +/-  (2.03e-75, 1.08e-189j)
| (0.054231690152279574457 + 1.324841386112799137e-903j)  +/-  (2.42e-74, 1.29e-188j)
| (0.059786052489867706866 - 4.1966755627202083918e-903j)  +/-  (7.04e-76, 3.74e-190j)
| (0.039130685004033789511 + 3.6770963225290085284e-901j)  +/-  (6.3e-75, 3.35e-189j)
| (0.054231690152279574457 - 4.5960843711150473541e-903j)  +/-  (6.91e-77, 3.68e-191j)
| (0.039130685004033789511 - 3.814995059292527831e-901j)  +/-  (2.7e-75, 1.44e-189j)
| (0.060890808710798654118 - 1.2273459418185142162e-902j)  +/-  (5.35e-77, 2.85e-191j)
| (0.056459582350056584101 - 1.8556426962490690191e-903j)  +/-  (3.19e-77, 1.7e-191j)
| (0.059955484728386730336 + 2.385881386068232841e-902j)  +/-  (1.38e-76, 7.32e-191j)
| (0.059786052489867706866 + 9.5336248900212774462e-903j)  +/-  (1.94e-79, 1.03e-193j)
| (0.056459582350056584101 + 5.5652904682860571295e-903j)  +/-  (3.41e-79, 1.81e-193j)
| (0.059955484728386730336 - 3.6902241234478025124e-902j)  +/-  (1.72e-78, 9.15e-193j)
| (0.058333005830319614671 + 2.7178430254958857491e-903j)  +/-  (1.4e-78, 7.45e-193j)
| (0.060706698470556564297 + 6.9061399739634777152e-903j)  +/-  (1.84e-78, 9.77e-193j)
| (0.045380023117269662847 + 2.6217595383402185228e-901j)  +/-  (6.84e-78, 3.64e-192j)
| (0.058333005830319614671 - 7.0789116204838902845e-903j)  +/-  (1.52e-80, 8.14e-195j)
| (0.060706698470556564297 - 1.3740219171959363569e-902j)  +/-  (3.77e-80, 2e-194j)
