Starting with polynomial:
P : 12155/128*t^9 - 6435/32*t^7 + 9009/64*t^5 - 1155/32*t^3 + 315/128*t
Extension levels are: 9 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : 12155/128*t^9 - 6435/32*t^7 + 9009/64*t^5 - 1155/32*t^3 + 315/128*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 12155/128*t^57 - 1394211432516252569910273160746690302818646725382685693692465346585/1032829841885593414646397974945683397712270870106636886399048864*t^55 + 1100761613262378791260174089490612910751080651594440874945699793381810268987/121102754809736777062855569410005546638412504778334551737310370521498944*t^53 - 29008493263300801978775078788499887913636464919063230219312651050406652588620523/752229761500679990725927369390249452944499273430625068116303366494290690656*t^51 + 34226067013893334229851435349372709820091360941385613884823125473205925694659562463/295877039523600796352198098626831451491503047549379193459079324154421004991360*t^49 - 57317884309944317676105495335383997067668904563925687449601056712872531329684743667/219643414544305693210432772194918245877620884787932003307632865635042123603280*t^47 + 57564801447110285157571402480287254705923022725281697285986337393787163180121180789331/125196746290254245129946680151103400150243904329121241885350733411974010453869600*t^45 - 20984391231156804046030500106269511756376042652803071087225558415821155998820119153/32350580436758202875955214509329043966471293108300062502674608116789149988080*t^43 + 1895779481025731971734717975576286946649532878257311754788010198207733078828088110159/2543860276295327952977551501904313115802523145881936622161535038256785842965120*t^41 - 838573597700938883204830999668655701533805517916821725473645944239062268931447131215599/1188618714098991986028760939264790303358728939913334886704977246625483185125452320*t^39 + 51610800292796916129034845829700010442831945247810125373372971101809151604673423946761/93036282615035809972561584989686690411344505418317710430349096227095849847876160*t^37 - 84697161958539574993654641513868039018885221845553441032520877190298743835263313274327/232590706537589524931403962474216726028361263545794276075872740567739624619690400*t^35 + 1324472996265231301912578220577443853839623668191282814337191968208918769107870011036351/6618866963183976195190809903551995974978509099760317113473407131584819032034618240*t^33 - 1229289575529866634395587568527802774259102262658810729490184005044422560907801911917/13344489845128984264497600611999991885037316733387736115873804700775844822650440*t^31 + 673379890739007369469601479085887811168050198365165189587105918401886854107831487278379/18975864559773415624115588070263988460523064394877360756772550284503251337808925680*t^29 - 11193957042244950844590378995652229636686922771522728009607405287354916555130362420997/981510235850349084005978693289516644509813675597104866729614669888099207128047880*t^27 + 309756608696988034573117480074301784894486797076191616472562232910512168467922674042837/101786246680776942045064457081875800171388084876736800994182262062469547405871632000*t^25 - 16583198144109730963330799322654777068821323399716019726295132814280744317246437025149/24767986692322389230965684556589778041704433986672621575251017101867589868762097120*t^23 + 3808993800338112409083036012585206694509014968501049432464417597441969356001216782096689/31653486992788013437174144863321736337298266634967610373170799856186779852277960119360*t^21 - 13154191524745384372991468975327813851622690858835738513970694867038611678201208219027/753654452209238415170812972936231817554720634165895485075495234671113806006618098080*t^19 + 58866060360642463773859356191755982647767822635534755132571045847793009583806186673/29268134066378190880419921279076963788532840161782348934970688725091798291519149440*t^17 - 181612673318214385076717766013426630159789493306569626630113183308497792348587930609/1006593275210969116152798148784693180980620025084586435546038155896350631310209103600*t^15 + 120199101386493581364561890167899866627144072861891856825876783216916067284509359147/9797507878720099397220568648171013628211368244156641305981438050724479478086035275040*t^13 - 294542057723376517064176497696740013081948397105791654678994107220499465087253891419/482715676640017204916905709165656479143798566183256058190854697806848392747238891820240*t^11 + 967586355951849526256164999774107824958901081354032772050113473570893137385857233312543/45796201674191712264876678439964161489330457570937868752682766890331320716716048144769809280*t^9 - 11457770632802269196877957708485409746572550100559210865365449546928449147696276167861/24170217550267848139796024732203307452702185940217208508360349192119308156044580965295177120*t^7 + 70873758721043439435718368808668602051390546704497717616504150164127781558130850291/11509627404889451495140964158192051167953421876293908813504928186723480074306943316807227200*t^5 - 392579865323538492634320561749403243269484783346474607093171820835394142429667781/10358664664400506345626867742372846051158079688664517932154435368051132066876248985126504480*t^3 + 963982297833992155603337101854639201653534852589353754642752497590116319720361/13811552885867341794169156989830461401544106251552690576205913824068176089168331980168672640*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:
| (-0.98023348494587174451 + 3.5627462369764424914e-821j)  +/-  (5.17e-235, 5.17e-235j)
| (-0.80465082124262632318 + 4.4368885187909571127e-841j)  +/-  (8.56e-238, 8.56e-238j)
| (-0.95317930179769372783 - 5.1096690450777230791e-837j)  +/-  (2.46e-235, 2.46e-235j)
| (-0.99918766765738604356 + 8.0916644097351804989e-840j)  +/-  (1.07e-235, 1.07e-235j)
| (0.89109159817597078591 - 2.5380635307581024874e-850j)  +/-  (2.92e-236, 2.92e-236j)
| (0.91459429691006664118 + 1.7083536448304394047e-849j)  +/-  (6.84e-236, 6.84e-236j)
| (-0.99570769785259057906 + 4.9260894021697653255e-847j)  +/-  (3.16e-235, 3.16e-235j)
| (-0.91459429691006664118 + 1.3372833710905689059e-861j)  +/-  (7.14e-236, 7.14e-236j)
| (-0.96816023950762608984 + 2.4640723562949319458e-878j)  +/-  (4e-235, 4e-235j)
| (0.96816023950762608984 - 1.4842678773812156278e-892j)  +/-  (3.74e-235, 3.74e-235j)
| (0.86487568065172464031 - 6.067124963339092037e-895j)  +/-  (1.01e-236, 1.01e-236j)
| (0.98023348494587174451 + 8.6240526740701307213e-893j)  +/-  (4.95e-235, 4.95e-235j)
| (-0.56904088231296883305 - 1.2367477466334609651e-902j)  +/-  (1.86e-242, 1.86e-242j)
| (-0.8360311073266357943 + 2.229121407843461146e-898j)  +/-  (3.07e-237, 3.07e-237j)
| (0.99918766765738604356 + 4.4619693808301856252e-892j)  +/-  (1.01e-235, 1.01e-235j)
| (0.80465082124262632318 - 4.1068801437503261456e-897j)  +/-  (8.71e-238, 8.71e-238j)
| (0.8360311073266357943 + 3.2708022449078946275e-896j)  +/-  (3.25e-237, 3.25e-237j)
| (0.99570769785259057906 - 2.5831379437832625325e-892j)  +/-  (3.18e-235, 3.18e-235j)
| (-0.73468626142647651426 - 7.4700890578241176462e-901j)  +/-  (4.23e-239, 4.23e-239j)
| (0.98940545390497275235 + 1.0903606548475111052e-893j)  +/-  (4.5e-235, 4.5e-235j)
| (0.93531008269721163377 - 1.7772865443626599339e-895j)  +/-  (1.38e-235, 1.38e-235j)
| (0.77083428745260740464 + 1.282793598059277505e-900j)  +/-  (2.12e-238, 2.12e-238j)
| (-0.98940545390497275235 + 4.9453935643766464789e-896j)  +/-  (4.52e-235, 4.52e-235j)
| (-0.86487568065172464031 - 8.584225106517651121e-912j)  +/-  (1.06e-236, 1.06e-236j)
| (-0.77083428745260740464 + 1.0721502806732043839e-920j)  +/-  (2.14e-238, 2.14e-238j)
| (0.32425342340380892904 + 3.4656960971177760971e-931j)  +/-  (6.33e-248, 6.33e-248j)
| (0.10983751120552356717 - 1.2352982862438546898e-935j)  +/-  (4.61e-253, 4.61e-253j)
| (0.95317930179769372783 - 3.194827703640614385e-918j)  +/-  (2.6e-235, 2.6e-235j)
| (-0.93531008269721163377 + 9.946309919004315048e-923j)  +/-  (1.44e-235, 1.44e-235j)
| (-0.65583817745987927119 - 1.3802842812848039472e-938j)  +/-  (1.16e-240, 1.16e-240j)
| (-0.89109159817597078591 + 6.2915870328728174761e-939j)  +/-  (2.73e-236, 2.73e-236j)
| (0.73468626142647651426 - 7.7216898213398905246e-950j)  +/-  (4.16e-239, 4.16e-239j)
| (0.69631618737079254856 - 1.5646560371543131723e-950j)  +/-  (7.28e-240, 7.28e-240j)
| (0.27171792561274896157 - 1.8923355972102047692e-960j)  +/-  (3.9e-249, 3.9e-249j)
| (-0.69631618737079254856 - 1.2565767340881606563e-952j)  +/-  (7.45e-240, 7.45e-240j)
| (-0.61337143270059039731 - 5.4250187922311566974e-954j)  +/-  (1.56e-241, 1.56e-241j)
| (0.055000833185217049199 + 1.497861572587079885e-966j)  +/-  (2.17e-254, 2.17e-254j)
| (0.56904088231296883305 - 5.1315322670399186675e-954j)  +/-  (1.84e-242, 1.84e-242j)
| (0.61337143270059039731 - 4.9590519336017619201e-952j)  +/-  (1.59e-241, 1.59e-241j)
| (-0.32425342340380892904 + 3.2170965981060702111e-962j)  +/-  (6.58e-248, 6.58e-248j)
| (-0.5229777831208807195 + 5.8893016643192399541e-957j)  +/-  (1.93e-243, 1.93e-243j)
| (-0.16434566588174250528 + 3.3455024606959117989e-965j)  +/-  (9.85e-252, 9.85e-252j)
| (0.65583817745987927119 + 9.3444756844918791036e-958j)  +/-  (1.27e-240, 1.27e-240j)
| (0.5229777831208807195 - 9.0892260436589383633e-961j)  +/-  (1.92e-243, 1.92e-243j)
| (-0.10983751120552356717 - 3.1362929603206202376e-972j)  +/-  (3.86e-253, 3.86e-253j)
| (-0.47532005152781799849 - 3.3411273321610652385e-964j)  +/-  (1.83e-244, 1.83e-244j)
| (-0.27171792561274896157 + 7.9027207880027775309e-970j)  +/-  (3.69e-249, 3.69e-249j)
| (0.16434566588174250528 - 4.7157022619508714902e-971j)  +/-  (1.04e-251, 1.04e-251j)
| (0.47532005152781799849 - 1.7521230430439937714e-963j)  +/-  (1.74e-244, 1.74e-244j)
| (0.2183606755902425839 - 1.1816201778576038102e-969j)  +/-  (1.85e-250, 1.85e-250j)
| (-0.2183606755902425839 + 1.7095928052162863168e-970j)  +/-  (1.84e-250, 1.84e-250j)
| (-0.42621218551791790883 + 2.7517474842609566676e-966j)  +/-  (1.45e-245, 1.45e-245j)
| (-0.055000833185217049199 - 7.3338878729447569624e-974j)  +/-  (2.35e-254, 2.35e-254j)
| (0.37580474094323351804 - 6.2672887024880293687e-967j)  +/-  (1.07e-246, 1.07e-246j)
| (0.42621218551791790883 + 1.6404674947426338202e-965j)  +/-  (1.35e-245, 1.35e-245j)
| (-3.409186854013088509e-987 + 2.6088138149524897055e-986j)  +/-  (1.5e-984, 1.5e-984j)
| (-0.37580474094323351804 + 4.9367463133482254133e-968j)  +/-  (9.81e-247, 9.81e-247j)
-------------------------------------------------
The weights are:
| (0.010619303158146392321 + 6.9017907941558971944e-822j)  +/-  (1.12e-42, 3.72e-155j)
| (0.032615458795387404539 + 7.224683667267161844e-822j)  +/-  (2.48e-43, 8.22e-156j)
| (0.016430318871375281022 + 2.2998155242308515734e-821j)  +/-  (5.56e-43, 1.84e-155j)
| (0.0020861826566367242629 + 2.1166646297445617946e-822j)  +/-  (8.83e-44, 2.92e-156j)
| (0.024872590010187903368 - 5.1217578796679226188e-823j)  +/-  (1.75e-45, 5.78e-158j)
| (0.022120472443915062286 + 4.4845869449424556402e-823j)  +/-  (1.41e-45, 4.66e-158j)
| (0.0048826253118368264694 - 8.7924917994534423899e-822j)  +/-  (1.23e-43, 4.08e-156j)
| (0.022120472443915062286 + 1.2945802938315071171e-821j)  +/-  (4.11e-45, 1.36e-157j)
| (0.013528254786832187764 - 4.1593144618032048989e-821j)  +/-  (9.97e-44, 3.3e-156j)
| (0.013528254786832187764 - 2.5773242708570027059e-823j)  +/-  (4.33e-48, 1.43e-160j)
| (0.027545109863220225569 + 5.7690659294878567339e-823j)  +/-  (1.21e-47, 4.01e-160j)
| (0.010619303158146392321 + 1.9298403363606418442e-823j)  +/-  (1.48e-48, 4.91e-161j)
| (0.045219251016101839111 + 4.3264389273122757556e-822j)  +/-  (7.18e-50, 2.38e-162j)
| (0.030128515302126649894 - 8.0990104151320065284e-822j)  +/-  (1.23e-47, 4.08e-160j)
| (0.0020861826566367242629 - 2.0268373952867171454e-824j)  +/-  (8.41e-50, 2.79e-162j)
| (0.032615458795387404539 + 7.1070668183584393669e-823j)  +/-  (2.79e-50, 9.26e-163j)
| (0.030128515302126649894 - 6.4302115627532006729e-823j)  +/-  (1.09e-49, 3.61e-162j)
| (0.0048826253118368264694 + 6.8856751035791932393e-824j)  +/-  (7.35e-50, 2.43e-162j)
| (0.037277671727715246019 + 5.9421731093973634012e-822j)  +/-  (2.61e-53, 8.63e-166j)
| (0.0077300493940686525758 - 1.2883548908439623579e-823j)  +/-  (7.96e-50, 2.64e-162j)
| (0.019301091529071265455 - 3.8521469969388562918e-823j)  +/-  (1.61e-50, 5.33e-163j)
| (0.035000139611642184206 - 7.7999531633823873058e-823j)  +/-  (5.99e-53, 1.99e-165j)
| (0.0077300493940686525758 + 2.7666839817935020501e-821j)  +/-  (1.48e-51, 4.9e-164j)
| (0.027545109863220225569 + 9.2274263441185594669e-822j)  +/-  (2.04e-53, 6.75e-166j)
| (0.035000139611642184206 - 6.5225878485307025732e-822j)  +/-  (3.45e-54, 1.14e-166j)
| (0.052070292612813151832 - 1.5683519477700291721e-822j)  +/-  (3.17e-59, 1.05e-171j)
| (0.054699835148828863981 - 1.9767828542319312391e-822j)  +/-  (1.15e-59, 3.82e-172j)
| (0.016430318871375281022 + 3.2181244908574648336e-823j)  +/-  (2.76e-52, 9.13e-165j)
| (0.019301091529071265455 - 1.6425637935341218357e-821j)  +/-  (2.66e-53, 8.81e-166j)
| (0.041492699033298887702 + 5.0267584323364471886e-822j)  +/-  (1.46e-57, 4.84e-170j)
| (0.024872590010187903368 - 1.0751930811874799591e-821j)  +/-  (8.69e-54, 2.88e-166j)
| (0.037277671727715246019 + 8.5081772005401684936e-823j)  +/-  (6.62e-58, 2.19e-170j)
| (0.03944346525478119629 - 9.2307126009895502516e-823j)  +/-  (6.31e-59, 2.09e-171j)
| (0.052973611758175879194 + 1.6632246131550373763e-822j)  +/-  (9.57e-62, 3.17e-174j)
| (0.03944346525478119629 - 5.4507944104201406146e-822j)  +/-  (7.25e-58, 2.4e-170j)
| (0.04341997950277644434 - 4.6553605113387613854e-822j)  +/-  (3.01e-59, 9.97e-172j)
| (0.054946127186631762207 + 2.0919302523619154832e-822j)  +/-  (2.59e-63, 8.6e-176j)
| (0.045219251016101839111 + 1.1482792978763703148e-822j)  +/-  (2.02e-62, 6.68e-175j)
| (0.04341997950277644434 - 1.0717054724289378972e-822j)  +/-  (6.59e-62, 2.18e-174j)
| (0.052070292612813151832 - 3.1188365371064531411e-822j)  +/-  (3.14e-65, 1.04e-177j)
| (0.046883960080915791258 - 4.0327772891297679324e-822j)  +/-  (4.39e-63, 1.45e-175j)
| (0.054289033058943580085 + 2.6193564515886511479e-822j)  +/-  (6.32e-66, 2.09e-178j)
| (0.041492699033298887702 + 9.9669035579883979946e-823j)  +/-  (1.13e-62, 3.76e-175j)
| (0.046883960080915791258 - 1.2267140679543060807e-822j)  +/-  (1.66e-64, 5.51e-177j)
| (0.054699835148828863981 - 2.4756935005427978749e-822j)  +/-  (1.2e-66, 3.96e-179j)
| (0.04840741122091875384 + 3.7690339896164161279e-822j)  +/-  (1.96e-65, 6.49e-178j)
| (0.052973611758175879194 + 2.9389282607641949238e-822j)  +/-  (1.31e-66, 4.33e-179j)
| (0.054289033058943580085 + 1.8671500534436093991e-822j)  +/-  (4.2e-67, 1.39e-179j)
| (0.04840741122091875384 + 1.3074310526406176302e-822j)  +/-  (4.85e-67, 1.61e-179j)
| (0.053713540245834115603 - 1.7627226135964334757e-822j)  +/-  (2.89e-67, 9.59e-180j)
| (0.053713540245834115603 - 2.7731519032534850886e-822j)  +/-  (7.96e-68, 2.63e-180j)
| (0.049783212698615954631 - 3.5310314322989940109e-822j)  +/-  (6.6e-68, 2.19e-180j)
| (0.054946127186631762207 + 2.3406415502745418044e-822j)  +/-  (1.69e-68, 5.61e-181j)
| (0.051005705734399378287 + 1.4777351079434614245e-822j)  +/-  (7.91e-69, 2.62e-181j)
| (0.049783212698615954631 - 1.3909293928134024623e-822j)  +/-  (8.11e-69, 2.68e-181j)
| (0.055028183969604791777 - 2.2130123721782687841e-822j)  +/-  (3.48e-69, 1.16e-181j)
| (0.051005705734399378287 + 3.3153044324790588722e-822j)  +/-  (2.46e-69, 7.87e-182j)
