Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 50
-------------------------------------------------
Trying to find an order 50 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 63/8*t^55 - 4345557917566343040955354447215061551438295/40387126262471377543870066513029465440168*t^53 + 71506447770245694231388329591863850269584148365/102898015483024481582668050782149203901551048*t^51 - 9774533452957104539887321397713281390826729645175/3464233187928490879949824376332356531352218616*t^49 + 893314899130006880137422114338359201001311862675/110560633657292262126058224776564570149538892*t^47 - 24275395412967372610141424097734417286701931149195/1398832364968349925160127974346969126674600764*t^45 + 85713495671492588983823074904909723633216253362075/2953090548266516508671381279176934822979712724*t^43 - 3546635615800813324783289269276187651566916053964025/91545806996262011768812819654484979512371094444*t^41 + 23047541189813377168526683976597484229723092450165925/549274841977572070612876917926909877074226566664*t^39 - 31986181376177347594600273645347374905616633960186425/857639665543928320781509573605175071221160779528*t^37 + 681712821360483582430432629301739566875707992880086195/24871550300773921302663777634550077065413662606312*t^35 - 1248386246382650502963198355951590913679064522788220925/74614650902321763907991332903650231196240987818936*t^33 + 4386932047496960117756979224617951206412666817601590525/516084668741058867030273385916914099107333499080974*t^31 - 55710042199006762568816766094144967332867992736007225/15499762020031801345736798019751591408117913765502*t^29 + 4636421122685578289223625525151043855707664716504083975/3673443598747536918939621130681127163723945562423974*t^27 - 49870330143690051645091598695000956111140975631524345/136053466620279145145911893728930635693479465274962*t^25 + 15869647298766269591876697388099728890614215412408875/181404622160372193527882524971907514257972620366616*t^23 - 27767205693729545481665230092227111716166948063915375/1632641599443349741750942724747167628321753583299544*t^21 + 7508604142241967846839254454029611172909114334929158725/2820660469971627237165045380788189939197216274080512184*t^19 - 49040925420326319057542216789004604932366366471751075/148455814209033012482370809515167891536695593372658536*t^17 + 6511047255863562802440309904930440797525942999225285/204380949698737229513400908990059905471752152519892916*t^15 - 219737992614077105121471721046752173311097765630033425/94492125744049512445029020256404362963106745181697158164*t^13 + 35155882470380853297011876457850790280457106411960425/283476377232148537335087060769213088889320235545091474492*t^11 - 3912281824666363732105564026554889916060899656195975/850429131696445612005261182307639266667960706635274423476*t^9 + 1232099080202981823424874133389349593414875509992725/11150070837797842468513424390255714829646595931440264663352*t^7 - 152184402014249650265438596313698499508324901280263331/99075812774392362227720784657015530071296435914801045043658088*t^5 + 9019016939749793496917090081228206943050621660120685/891682314969531260049487061913139770641667923233209405392922792*t^3 - 313968614547717946530244032131328043168931220839495/15753054231128385594207604760465469281336133310453366161941635992*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:
| (-0.98799865358390581301 + 1.1194985847654653565e-902j)  +/-  (6.03e-236, 6.03e-236j)
| (-0.99511127934965603153 + 1.0027590888086771349e-920j)  +/-  (4.11e-236, 4.11e-236j)
| (-0.94799262726727329297 - 5.141842146978388994e-932j)  +/-  (3.37e-236, 3.37e-236j)
| (0.99907159067406508559 - 2.8629975218866100095e-935j)  +/-  (1.35e-236, 1.35e-236j)
| (0.94799262726727329297 - 1.8856173344490612106e-938j)  +/-  (3.37e-236, 3.37e-236j)
| (0.92856526725213677257 + 7.540465370482756539e-940j)  +/-  (2.06e-236, 2.06e-236j)
| (-0.9061798459386639928 - 2.4087627427466053556e-938j)  +/-  (9.76e-237, 9.76e-237j)
| (-0.880902444380467752 + 5.1999355875236450402e-942j)  +/-  (4.08e-237, 4.08e-237j)
| (-0.99907159067406508559 - 1.314379706714319505e-937j)  +/-  (1.35e-236, 1.35e-236j)
| (0.98799865358390581301 + 2.1103142607562247964e-949j)  +/-  (6.08e-236, 6.08e-236j)
| (0.82197986387505180043 - 5.1102635601443917717e-956j)  +/-  (4.54e-238, 4.54e-238j)
| (0.16993268994865492387 + 2.1278080191236585255e-969j)  +/-  (9.38e-252, 9.38e-252j)
| (-0.82197986387505180043 + 1.2275322758144646263e-953j)  +/-  (4.36e-238, 4.36e-238j)
| (-0.85280792059736613269 - 1.4822210357863185347e-952j)  +/-  (1.41e-237, 1.41e-237j)
| (0.9061798459386639928 + 1.1531259309573492565e-955j)  +/-  (9.84e-237, 9.84e-237j)
| (0.85280792059736613269 + 6.5656803280423662063e-958j)  +/-  (1.47e-237, 1.47e-237j)
| (0.880902444380467752 - 9.7050862093715806235e-958j)  +/-  (3.81e-237, 3.81e-237j)
| (-0.96440468360130414291 - 7.3602419697029732944e-957j)  +/-  (5.44e-236, 5.44e-236j)
| (-0.78851055306538478071 + 5.2908012392344375836e-981j)  +/-  (1.06e-238, 1.06e-238j)
| (-0.97775311775270566594 + 2.7915875560193115709e-987j)  +/-  (6e-236, 6e-236j)
| (0.99511127934965603153 - 4.0955813257621019392e-999j)  +/-  (4.18e-236, 4.18e-236j)
| (0.78851055306538478071 + 4.2100358609247025301e-1007j)  +/-  (1.15e-238, 1.15e-238j)
| (-0.92856526725213677257 + 5.3382968806801782793e-1004j)  +/-  (1.89e-236, 1.89e-236j)
| (-0.71406038101611328798 - 7.8557706449597817442e-1012j)  +/-  (4.81e-240, 4.81e-240j)
| (-0.75250090293653425753 + 1.0766538510107342741e-1010j)  +/-  (2.61e-239, 2.61e-239j)
| (0.97775311775270566594 + 7.0407741160123831694e-1008j)  +/-  (6.32e-236, 6.32e-236j)
| (0.75250090293653425753 + 2.5229706771540651634e-1017j)  +/-  (2.65e-239, 2.65e-239j)
| (0.71406038101611328798 + 1.7642468272310856234e-1019j)  +/-  (5.17e-240, 5.17e-240j)
| (-0.11360181322891631485 + 2.1099239365250751031e-1035j)  +/-  (4.25e-253, 4.25e-253j)
| (-0.63036652119345057503 + 2.0883586565026634089e-1023j)  +/-  (1.17e-241, 1.17e-241j)
| (-0.28072484956518661193 - 8.6719572508953696668e-1031j)  +/-  (3.75e-249, 3.75e-249j)
| (0.67330687839901936595 + 1.1359963234579254165e-1021j)  +/-  (8.84e-241, 8.84e-241j)
| (0.63036652119345057503 - 1.7517801218355190108e-1023j)  +/-  (1.17e-241, 1.17e-241j)
| (0.96440468360130414291 - 2.9647331364448423763e-1027j)  +/-  (5.03e-236, 5.03e-236j)
| (-0.58537341379863254076 + 2.5057683421713400296e-1032j)  +/-  (1.61e-242, 1.61e-242j)
| (-0.67330687839901936595 + 2.1764251283675783828e-1036j)  +/-  (7.85e-241, 7.85e-241j)
| (0.22570163819050957393 + 3.5714084617602684423e-1047j)  +/-  (2.15e-250, 2.15e-250j)
| (0.58537341379863254076 - 2.1934198729441529792e-1039j)  +/-  (1.43e-242, 1.43e-242j)
| (0.28072484956518661193 + 6.0715465255554698539e-1048j)  +/-  (4.2e-249, 4.2e-249j)
| (-0.33482149350481248504 - 6.3673954585443516485e-1047j)  +/-  (6.75e-248, 6.75e-248j)
| (-0.53846931010568309104 + 2.4491842388394840409e-1042j)  +/-  (1.6e-243, 1.6e-243j)
| (-0.22570163819050957393 + 1.1329866069506228274e-1049j)  +/-  (2.07e-250, 2.07e-250j)
| (0.43953090769863682076 + 2.7321199565077297082e-1043j)  +/-  (1.34e-245, 1.34e-245j)
| (0.53846931010568309104 + 2.7253028482477686964e-1043j)  +/-  (1.79e-243, 1.79e-243j)
| (-0.056895063383692666753 - 5.548674284888841809e-1055j)  +/-  (2e-254, 2e-254j)
| (-0.43953090769863682076 - 2.9630043021940581956e-1044j)  +/-  (1.26e-245, 1.26e-245j)
| (-0.38781443131383101158 + 2.023628240585976788e-1045j)  +/-  (9.62e-247, 9.62e-247j)
| (0.11360181322891631485 - 2.4567745866123130253e-1054j)  +/-  (4.13e-253, 4.13e-253j)
| (0.48980321319898298544 + 2.1219729561681508198e-1045j)  +/-  (1.52e-244, 1.52e-244j)
| (0.056895063383692666753 + 5.2574056539445894745e-1055j)  +/-  (2e-254, 2e-254j)
| (-0.16993268994865492387 + 1.6648033114200949135e-1053j)  +/-  (1e-251, 1e-251j)
| (-0.48980321319898298544 - 1.595195885164042546e-1044j)  +/-  (1.52e-244, 1.52e-244j)
| (7.7701513424918837972e-1065 - 9.5734865015657087858e-1065j)  +/-  (6.78e-1063, 6.78e-1063j)
| (0.33482149350481248504 - 4.1821587925850277464e-1048j)  +/-  (6.73e-248, 6.73e-248j)
| (0.38781443131383101158 + 9.3687027835475734013e-1047j)  +/-  (1.01e-246, 1.01e-246j)
-------------------------------------------------
The weights are:
| (0.0086832901040679676493 + 3.9708431355389251503e-903j)  +/-  (2.47e-49, 5.35e-163j)
| (0.0055386045925843639122 + 7.0069879724260486179e-903j)  +/-  (1.62e-49, 3.51e-163j)
| (0.017928508200199279507 - 7.0355827417077555084e-903j)  +/-  (4.75e-50, 1.03e-163j)
| (0.0023822542657800298772 + 7.1913891226233256347e-906j)  +/-  (4.7e-52, 1.02e-165j)
| (0.017928508200199279507 - 1.4538583468922270142e-904j)  +/-  (7.62e-52, 1.65e-165j)
| (0.020916670025492017541 + 1.8300250612461580347e-904j)  +/-  (3.38e-52, 7.32e-166j)
| (0.02384315808055977396 - 5.1511517507807143677e-903j)  +/-  (1.29e-50, 2.79e-164j)
| (0.02669916796655465979 + 4.5977108935341955293e-903j)  +/-  (5.05e-51, 1.09e-164j)
| (0.0023822542657800298772 - 1.2905153550583120819e-903j)  +/-  (1.71e-50, 3.71e-164j)
| (0.0086832901040679676493 + 4.9195061892796951239e-905j)  +/-  (4.34e-53, 9.39e-167j)
| (0.032164785388688595222 + 3.4843443108151554973e-904j)  +/-  (1.12e-53, 2.44e-167j)
| (0.056080759051811964927 + 1.0167619611843165861e-903j)  +/-  (2.98e-54, 6.46e-168j)
| (0.032164785388688595222 + 3.798719627498542982e-903j)  +/-  (1.53e-52, 3.31e-166j)
| (0.029475947396032494925 - 4.160392001095172286e-903j)  +/-  (6.69e-52, 1.45e-165j)
| (0.02384315808055977396 - 2.2250336721423441658e-904j)  +/-  (1.74e-53, 3.78e-167j)
| (0.029475947396032494925 - 3.0554347861863213712e-904j)  +/-  (2.35e-54, 5.1e-168j)
| (0.02669916796655465979 + 2.6346894881017978923e-904j)  +/-  (4.93e-54, 1.07e-167j)
| (0.014887549484819604577 + 9.1142489516063550439e-903j)  +/-  (2.4e-53, 5.2e-167j)
| (0.034757015756913050951 - 3.4901247489512539558e-903j)  +/-  (1.01e-55, 2.18e-169j)
| (0.011802769823112807399 - 1.4935577529005242498e-902j)  +/-  (2.79e-53, 6.03e-167j)
| (0.0055386045925843639122 - 2.513127606559624378e-905j)  +/-  (2.2e-56, 4.75e-170j)
| (0.034757015756913050951 - 3.9191373404371754821e-904j)  +/-  (5.54e-58, 1.2e-171j)
| (0.020916670025492017541 + 5.9013295776743581445e-903j)  +/-  (3.6e-54, 7.8e-168j)
| (0.039617354411656544213 - 2.9827081497031285153e-903j)  +/-  (1.67e-58, 3.62e-172j)
| (0.037244037791907952095 + 3.2210179385258990522e-903j)  +/-  (1.52e-57, 3.29e-171j)
| (0.011802769823112807399 - 7.7844515754419538165e-905j)  +/-  (6.87e-57, 1.49e-170j)
| (0.037244037791907952095 + 4.3581882941363149321e-904j)  +/-  (3e-59, 6.5e-173j)
| (0.039617354411656544213 - 4.8005263125057446273e-904j)  +/-  (2.62e-60, 5.67e-174j)
| (0.056549972773260101211 - 1.3564733656621830285e-903j)  +/-  (4.66e-64, 1.01e-177j)
| (0.04398973266126951393 - 2.5768196128526306406e-903j)  +/-  (1.34e-61, 2.9e-175j)
| (0.054589781899275142581 + 1.624406047911168885e-903j)  +/-  (4.52e-64, 9.78e-178j)
| (0.041868625534914669326 + 5.2458200785265175147e-904j)  +/-  (6.4e-62, 1.39e-175j)
| (0.04398973266126951393 - 5.694348267576967847e-904j)  +/-  (6.47e-63, 1.4e-176j)
| (0.014887549484819604577 + 1.1014185034542363895e-904j)  +/-  (2.36e-59, 5.11e-173j)
| (0.045972849797876521831 + 2.4020980680402713524e-903j)  +/-  (1.31e-63, 2.83e-177j)
| (0.041868625534914669326 + 2.7693478519173428244e-903j)  +/-  (4.76e-62, 1.03e-175j)
| (0.055426490507684771551 - 9.5985454879157771754e-904j)  +/-  (7.48e-67, 1.62e-180j)
| (0.045972849797876521831 + 6.1469586926212487485e-904j)  +/-  (2.98e-65, 6.45e-179j)
| (0.054589781899275142581 + 9.055557352925736368e-904j)  +/-  (3.67e-67, 7.96e-181j)
| (0.053573971322891375315 - 1.7284589870254392894e-903j)  +/-  (1.62e-67, 3.5e-181j)
| (0.047810515930242750192 - 2.2428685665226399816e-903j)  +/-  (2.78e-66, 6.02e-180j)
| (0.055426490507684771551 - 1.5282438766051475519e-903j)  +/-  (6.31e-68, 1.37e-181j)
| (0.051021890053618319237 - 7.5452865442341658084e-904j)  +/-  (1.15e-68, 2.49e-182j)
| (0.047810515930242750192 - 6.6050205978767073865e-904j)  +/-  (1.39e-67, 3.01e-181j)
| (0.056832254472129647893 + 1.2794689008874000967e-903j)  +/-  (1.55e-69, 3.35e-183j)
| (0.051021890053618319237 - 1.9638565204698150668e-903j)  +/-  (9.05e-69, 1.96e-182j)
| (0.052383100687961543204 + 1.8412821621805137121e-903j)  +/-  (9.25e-69, 2e-182j)
| (0.056549972773260101211 - 1.0767025438835857339e-903j)  +/-  (9.43e-71, 2.04e-184j)
| (0.049495704953191398595 + 7.0703748765346521429e-904j)  +/-  (2.43e-70, 5.26e-184j)
| (0.056832254472129647893 + 1.1401332669729518157e-903j)  +/-  (3.83e-71, 8.29e-185j)
| (0.056080759051811964927 + 1.4391755629768445927e-903j)  +/-  (6.53e-71, 1.41e-184j)
| (0.049495704953191398595 + 2.0972920152229394381e-903j)  +/-  (1.44e-70, 3.12e-184j)
| (0.056926474131006277182 - 1.2075456833261146928e-903j)  +/-  (2.19e-71, 4.73e-185j)
| (0.053573971322891375315 - 8.5347198176801299858e-904j)  +/-  (1.39e-72, 3.01e-186j)
| (0.052383100687961543204 + 8.0324029086423121417e-904j)  +/-  (1.28e-72, 2.75e-186j)
