Starting with polynomial:
P : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Extension levels are: 10 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1024*t^58 - 149496274263206082738559540170171492768036671196387238005746176/209168570909958037457951997454585046444810463382949369601*t^56 + 660718690270808957699960975569147874963473408578090725183662620160/2858637135769426511925343965212662301412409666233641384547*t^54 - 131614944199280989972922116221818874686838332487223236889170262065920/2858637135769426511925343965212662301412409666233641384547*t^52 + 33635460204122851639360270599181947690621524910283171245490473129506240/5308897537857506379289924506823515702623046523005333999873*t^50 - 21527696651902191096295419843440860800715668165902685666034824397370228320/33623017739764207068836188543215599449945961312367115332529*t^48 + 1658173612075661340296166726857637327163896048969531174086210473072644124480/33623017739764207068836188543215599449945961312367115332529*t^46 - 99733880473163964420187048607094838618237756342745096106121528254797791015200/33623017739764207068836188543215599449945961312367115332529*t^44 + 4761254908675217129439091732332335166970253942178009190055616665898967685789700/33623017739764207068836188543215599449945961312367115332529*t^42 - 4449207020508630405609414798083562008690523683909042263436363288516229201850650/820073603408883099239907037639404864632828324691880861769*t^40 + 10600185674983460116285627504880828491790939726457330375846738212058679097019150/63082584877606392249223618279954220356371409591683143213*t^38 - 14030572376905659247275543227967001564240208435628658548336233679688013392526025/3320136046189810118380190435787064229282705767983323327*t^36 + 1148392446815774907364759144569882676024385843975782599657599480458373120296892625/13280544184759240473520761743148256917130823071933293308*t^34 - 38242134340024217119481529637729237812025993200008944179500844494720798181062377125/26561088369518480947041523486296513834261646143866586616*t^32 + 129302691442269686009289520564765161139754648824540136819067356462943585098135530125/6640272092379620236760380871574128458565411535966646654*t^30 - 2831037707845516465205760534191125750447327514817450482935500136591397373126921377625/13280544184759240473520761743148256917130823071933293308*t^28 + 399273994295749409461679502958477748788083359705870532659066478687621043394803117711125/212488706956147847576332187890372110674093169150932692928*t^26 - 5627423754687622656353684422171660880561472208743994499204342129554927123916726452565625/424977413912295695152664375780744221348186338301865385856*t^24 + 31414738687596808234057431123029261656634245652808311074006716334521587275834752545503125/424977413912295695152664375780744221348186338301865385856*t^22 - 274653958948071132905747344562762797213037181019059825367782504485328136001661550970090625/849954827824591390305328751561488442696372676603730771712*t^20 + 3706980548267876526796613986948310499918370722644868951700577154011903757272290565525821875/3399819311298365561221315006245953770785490706414923086848*t^18 - 18967091265305331656793662829732165888005128285690400765600505846781147645312164219358059375/6799638622596731122442630012491907541570981412829846173696*t^16 + 17985730292603312694595515580001780800958723707151196576407830540067493010261492677446671875/3399819311298365561221315006245953770785490706414923086848*t^14 - 49134183914946900596153267454740927014894289183015834212598332645816247380971743156034984375/6799638622596731122442630012491907541570981412829846173696*t^12 + 372053472143465403407176870895889427230018175457080938972900237959632238673560172498222328125/54397108980773848979541040099935260332567851302638769389568*t^10 - 461783621854784646507850495443338180654118381804857705561848666309219936597227069399156890625/108794217961547697959082080199870520665135702605277538779136*t^8 + 172048966984013110347706945759826622025216046831993718048766221675521659329942335286329671875/108794217961547697959082080199870520665135702605277538779136*t^6 - 65564810352041958333336789008016924676251589427982604720889447040682422867452242781358984375/217588435923095395918164160399741041330271405210555077558272*t^4 + 18029920884054293450768562688319602816641133107144965589950194819690102104663749561374921875/870353743692381583672656641598964165321085620842220310233088*t^2 - 288019055560707364851459291010561003894211814624496932806444783286946105094567050033359375/1740707487384763167345313283197928330642171241684440620466176
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 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:
| (-9.4930946557271449145 + 4.4459396347836882155e-907j)  +/-  (6.71e-246, 6.71e-246j)
| (8.8410580606981467763 + 1.1684119721697811767e-906j)  +/-  (1.13e-244, 1.13e-244j)
| (-7.3717794127974817817 - 4.0535242106982637054e-903j)  +/-  (9.37e-243, 9.37e-243j)
| (6.1689324256196042758 - 6.3275354750073369189e-910j)  +/-  (4.5e-242, 4.5e-242j)
| (-7.8177091319779356334 - 3.6128092542715389577e-910j)  +/-  (3.32e-243, 3.32e-243j)
| (-6.9522119499981794252 + 8.4682358963416860513e-917j)  +/-  (2.09e-242, 2.09e-242j)
| (7.3717794127974817817 - 2.2660024723801486269e-925j)  +/-  (9.72e-243, 9.72e-243j)
| (-8.8410580606981467763 + 7.4259922683965938806e-926j)  +/-  (1.16e-244, 1.16e-244j)
| (5.0871395795197975502 + 9.0378127156896467622e-931j)  +/-  (2.7e-242, 2.7e-242j)
| (-2.8214967487996392206 + 4.5037726573718858808e-931j)  +/-  (4.92e-245, 4.92e-245j)
| (-5.0871395795197975502 + 3.7224320242876624866e-936j)  +/-  (2.98e-242, 2.98e-242j)
| (3.124502576119608385 + 9.5445624340646787564e-955j)  +/-  (1.69e-244, 1.69e-244j)
| (3.75429519382148616 + 4.9900952076400397248e-953j)  +/-  (1.57e-243, 1.57e-243j)
| (-6.5526556749537956993 + 1.2083767091302396728e-950j)  +/-  (3.4e-242, 3.4e-242j)
| (-5.7981142478864259804 + 2.891796351202437454e-961j)  +/-  (4.69e-242, 4.69e-242j)
| (6.9522119499981794252 - 2.1900002501753162847e-972j)  +/-  (2.15e-242, 2.15e-242j)
| (9.4930946557271449145 - 5.7017160617887888404e-977j)  +/-  (6.49e-246, 6.49e-246j)
| (4.7441220225189494747 + 1.4345587216803861448e-972j)  +/-  (1.61e-242, 1.61e-242j)
| (-3.75429519382148616 - 1.7209895586816917221e-972j)  +/-  (1.55e-243, 1.55e-243j)
| (-4.408055521973709825 + 5.9284516348183164153e-980j)  +/-  (8.82e-243, 8.82e-243j)
| (-5.4380563437028931981 + 2.4357113339762063116e-989j)  +/-  (3.99e-242, 3.99e-242j)
| (-8.3006021107731185749 - 3.6401476315480627563e-996j)  +/-  (7.6e-244, 7.6e-244j)
| (8.3006021107731185749 + 2.1035447768040057392e-995j)  +/-  (7.91e-244, 7.91e-244j)
| (0.09564170911036107138 + 9.6630964657815896385e-1006j)  +/-  (1.96e-254, 1.96e-254j)
| (-3.4361591188377376033 + 6.5726202124529575413e-994j)  +/-  (5.11e-244, 5.11e-244j)
| (7.8177091319779356334 - 8.3637858484499876263e-1001j)  +/-  (3.52e-243, 3.52e-243j)
| (1.0366108297895136542 - 4.9724063132588039772e-1006j)  +/-  (6.03e-248, 6.03e-248j)
| (3.4361591188377376033 - 7.6699082185914721003e-1001j)  +/-  (5.45e-244, 5.45e-244j)
| (-4.078250784534573919 + 3.0503363089193290036e-1000j)  +/-  (3.89e-243, 3.89e-243j)
| (-1.0366108297895136542 + 9.0177409373963933674e-1014j)  +/-  (6.05e-248, 6.05e-248j)
| (-6.1689324256196042758 - 4.12495478117543005e-1008j)  +/-  (4.18e-242, 4.18e-242j)
| (-2.0192600286577252146 + 1.5405065130856548581e-1021j)  +/-  (9.53e-247, 9.53e-247j)
| (2.2674422104792908579 - 1.4364187051722158e-1020j)  +/-  (3.97e-246, 3.97e-246j)
| (4.408055521973709825 - 2.6134545474788762253e-1015j)  +/-  (9.07e-243, 9.07e-243j)
| (-2.2674422104792908579 - 1.0899922108304652201e-1019j)  +/-  (3.83e-246, 3.83e-246j)
| (6.5526556749537956993 + 2.3048076036825705409e-1014j)  +/-  (3.14e-242, 3.14e-242j)
| (1.4693278959029849323 + 6.2988562775792378372e-1022j)  +/-  (1.88e-248, 1.88e-248j)
| (1.0256104797651928593 - 2.077176371774671775e-1021j)  +/-  (4.42e-248, 4.42e-248j)
| (5.4380563437028931981 - 1.9618114257804419808e-1014j)  +/-  (3.82e-242, 3.82e-242j)
| (1.0948180357989023172 + 1.611489948728849923e-1023j)  +/-  (1.78e-248, 1.78e-248j)
| (-0.09564170911036107138 - 3.3569329726286185385e-1030j)  +/-  (1.96e-254, 1.96e-254j)
| (-1.7566836492998817735 + 8.1394848383058408479e-1024j)  +/-  (1.55e-247, 1.55e-247j)
| (5.7981142478864259804 + 4.7550621136057467521e-1018j)  +/-  (4.22e-242, 4.22e-242j)
| (-2.5327316742327897964 + 1.2845995728575599145e-1022j)  +/-  (1.47e-245, 1.47e-245j)
| (-0.34290132722370460879 + 2.8906436284477559362e-1030j)  +/-  (2.11e-253, 2.11e-253j)
| (-1.0948180357989023172 - 9.7731385298410971756e-1026j)  +/-  (1.65e-248, 1.65e-248j)
| (2.0192600286577252146 - 8.6740190870826753091e-1024j)  +/-  (9.01e-247, 9.01e-247j)
| (4.078250784534573919 - 2.0039223812301752813e-1021j)  +/-  (4e-243, 4e-243j)
| (2.8214967487996392206 - 1.8997619409272387535e-1024j)  +/-  (5.09e-245, 5.09e-245j)
| (-4.7441220225189494747 - 1.0412002665491795332e-1024j)  +/-  (1.66e-242, 1.66e-242j)
| (2.5327316742327897964 - 4.4847196853849315732e-1031j)  +/-  (1.44e-245, 1.44e-245j)
| (-1.0256104797651928593 - 8.1639958140165707027e-1033j)  +/-  (4.68e-248, 4.68e-248j)
| (1.7566836492998817735 - 1.646935674822372887e-1033j)  +/-  (1.45e-247, 1.45e-247j)
| (0.63378830985069683357 - 4.3985969879109411071e-1037j)  +/-  (6.67e-252, 6.67e-252j)
| (0.34290132722370460879 - 1.7185479594845529963e-1038j)  +/-  (2.57e-253, 2.57e-253j)
| (-3.124502576119608385 + 3.6253624585824795771e-1035j)  +/-  (1.85e-244, 1.85e-244j)
| (-0.63378830985069683357 - 1.3694553541811614826e-1042j)  +/-  (6.67e-252, 6.67e-252j)
| (-1.4693278959029849323 - 4.2804436856215005535e-1039j)  +/-  (2.01e-248, 2.01e-248j)
-------------------------------------------------
The weights are:
| (3.0904145738943687136e-40 + 7.1055943377002825133e-936j)  +/-  (1.1e-81, 7.06e-203j)
| (3.7129976791419771285e-35 - 4.6495491757990539269e-934j)  +/-  (7.12e-81, 4.59e-202j)
| (6.1012607962530728776e-25 - 1.9980596936086633988e-926j)  +/-  (7.53e-76, 4.85e-197j)
| (6.3126490122061945657e-18 - 1.4712699636735413172e-924j)  +/-  (3.42e-73, 2.2e-194j)
| (7.4744763639415204253e-28 - 1.4302604553135304839e-928j)  +/-  (2.12e-77, 1.37e-198j)
| (2.3550160142720710922e-22 + 1.573128348349025099e-925j)  +/-  (4.96e-75, 3.2e-196j)
| (6.1012607962530728776e-25 + 1.6814970591030101349e-928j)  +/-  (1.04e-78, 6.7e-200j)
| (3.7129976791419771285e-35 - 5.1245480526744474744e-933j)  +/-  (6.9e-81, 4.44e-202j)
| (1.1281976295322943675e-12 + 1.9428233823666701765e-921j)  +/-  (5.91e-71, 3.81e-192j)
| (5.8502980725049269016e-05 + 1.3436013858195630027e-915j)  +/-  (6.42e-59, 4.13e-180j)
| (1.1281976295322943675e-12 - 1.0618514542930920369e-920j)  +/-  (1.85e-70, 1.19e-191j)
| (1.0000359471640795934e-05 + 1.2162074556420099899e-916j)  +/-  (2.71e-62, 1.75e-183j)
| (1.370180485046681264e-07 + 4.2815186108866321572e-918j)  +/-  (8.04e-66, 5.18e-187j)
| (4.9687441425601917265e-20 - 1.597686083139307136e-924j)  +/-  (5.32e-75, 3.42e-196j)
| (5.1725604086063144776e-16 - 1.6255262540830198291e-922j)  +/-  (2.72e-73, 1.75e-194j)
| (2.3550160142720710922e-22 - 4.6244959282489309468e-927j)  +/-  (4.18e-79, 2.69e-200j)
| (3.0904145738943687136e-40 + 8.9463145647979888486e-937j)  +/-  (2.36e-87, 1.52e-208j)
| (3.2181896417917996499e-11 - 1.5693989388330763644e-920j)  +/-  (9.77e-72, 6.29e-193j)
| (1.370180485046681264e-07 - 1.3179407684058727724e-917j)  +/-  (1.63e-68, 1.05e-189j)
| (6.8376598478970048683e-10 - 4.4733825528619473402e-919j)  +/-  (6.18e-71, 3.98e-192j)
| (2.876123331786793792e-14 + 1.3930793987775011445e-921j)  +/-  (1.3e-73, 8.38e-195j)
| (3.415181591335802763e-31 + 1.0762362867479952987e-930j)  +/-  (2.47e-82, 1.59e-203j)
| (3.415181591335802763e-31 + 6.3874541414310594035e-932j)  +/-  (1.32e-85, 8.5e-207j)
| (0.11597888606165193248 + 2.5925900567605087073e-912j)  +/-  (1.21e-56, 7.82e-178j)
| (1.3245370901776664145e-06 + 6.4553709287933732395e-917j)  +/-  (3.2e-69, 2.06e-190j)
| (7.4744763639415204253e-28 - 4.2065122375866382731e-930j)  +/-  (4.05e-84, 2.61e-205j)
| (-2.1889016888985008769 + 9.1806102992190426029e-911j)  +/-  (1.21e-56, 7.78e-178j)
| (1.3245370901776664145e-06 - 2.3490295661325866751e-917j)  +/-  (1.99e-71, 1.28e-192j)
| (1.1028465821748812046e-08 + 2.5239818210145418835e-918j)  +/-  (1.8e-71, 1.16e-192j)
| (-2.1889016888985008769 - 1.2186840113654028065e-910j)  +/-  (5.44e-59, 3.5e-180j)
| (6.3126490122061945657e-18 + 1.6878194811764516764e-923j)  +/-  (5.98e-77, 3.85e-198j)
| (0.0023976432297065001259 - 5.157478709769471517e-914j)  +/-  (6.01e-66, 3.87e-187j)
| (0.00083342485364057281876 - 1.0344200693831667367e-914j)  +/-  (6.51e-69, 4.19e-190j)
| (6.8376598478970048683e-10 + 1.1240523626927385031e-919j)  +/-  (7.04e-76, 4.54e-197j)
| (0.00083342485364057281876 + 1.9541549599213800872e-914j)  +/-  (3.92e-68, 2.53e-189j)
| (4.9687441425601917265e-20 + 9.4658251108217252739e-926j)  +/-  (4.95e-82, 3.19e-203j)
| (0.019519738159831827978 + 2.2041012639676648153e-913j)  +/-  (3.75e-67, 2.42e-188j)
| (1.9471307974358124409 - 7.9444926884257012921e-911j)  +/-  (2.37e-63, 1.52e-184j)
| (2.876123331786793792e-14 - 2.0957558065000566794e-922j)  +/-  (1.43e-79, 9.18e-201j)
| (0.34227488208746310287 - 1.3163577139871333112e-911j)  +/-  (2.1e-65, 1.35e-186j)
| (0.11597888606165193248 - 2.6607826708554920023e-912j)  +/-  (6.06e-66, 3.9e-187j)
| (0.0071005577461194803824 + 1.2016676426899916531e-913j)  +/-  (1.69e-69, 1.09e-190j)
| (5.1725604086063144776e-16 + 1.9288124752192433706e-923j)  +/-  (1.5e-80, 9.65e-202j)
| (0.00025723729269878358831 - 5.6153394549585336366e-915j)  +/-  (3.95e-72, 2.54e-193j)
| (0.13889393550458578682 + 1.8422651404878433694e-912j)  +/-  (1.84e-67, 1.18e-188j)
| (0.34227488208746310287 + 1.7758330272233571562e-911j)  +/-  (1.4e-68, 9.03e-190j)
| (0.0023976432297065001259 + 2.938627080910814995e-914j)  +/-  (8.01e-72, 5.16e-193j)
| (1.1028465821748812046e-08 - 7.2527096957823572465e-919j)  +/-  (9.33e-77, 6.01e-198j)
| (5.8502980725049269016e-05 - 5.9948457581991977918e-916j)  +/-  (1.77e-74, 1.14e-195j)
| (3.2181896417917996499e-11 + 7.24814640562521762e-920j)  +/-  (1.61e-79, 1.04e-200j)
| (0.00025723729269878358831 + 2.742316637891317407e-915j)  +/-  (5.93e-74, 3.82e-195j)
| (1.9471307974358124409 + 1.0513879820990800815e-910j)  +/-  (5.88e-70, 3.77e-191j)
| (0.0071005577461194803824 - 7.3897135057025615797e-914j)  +/-  (1.9e-72, 1.23e-193j)
| (0.1144446098860838911 + 1.2919304291847010976e-912j)  +/-  (1.34e-71, 8.62e-193j)
| (0.13889393550458578682 - 1.6784146733674559187e-912j)  +/-  (9.43e-72, 6.1e-193j)
| (1.0000359471640795934e-05 - 3.0073793609105036457e-916j)  +/-  (1.06e-76, 6.74e-198j)
| (0.1144446098860838911 - 1.5351110121035156202e-912j)  +/-  (1.1e-72, 7.66e-194j)
| (0.019519738159831827978 - 3.3021782726635517912e-913j)  +/-  (1.61e-73, 9.76e-195j)
