Starting with polynomial:
P : t
Extension levels are: 1 24 26
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : t^25 - 300/49*t^23 + 37950/2303*t^21 - 25300/987*t^19 + 360525/14147*t^17 - 9806280/580027*t^15 + 8171900/1077193*t^13 - 49031400/21460999*t^11 + 67418175/150226993*t^9 - 8171900/150226993*t^7 + 2451570/665290969*t^5 - 2228700/19293438101*t^3 + 185725/173640942909*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^51 - 33099/2597*t^49 + 555059112/7261265*t^47 - 12169295504/42429945*t^45 + 868512532877973138/1150543188320075*t^43 - 8094970977445642242/5464863698763425*t^41 + 140044046262070547061309232/62283883966850627349125*t^39 - 2309280244977777433618755912/854116758454504057563875*t^37 + 53585806447372097014324505114956059/20481964906911736883099858730625*t^35 - 8597110189167077621863994148250499/4176824030015256332374869716575*t^33 + 35138136046576921936724330913510756812492095344/26522796976384682781745397664377752908690625*t^31 - 6106950307690027149027172299538941041730019359168/8726933558789846899690954144694569660140753125*t^29 + 29538538036415950120768748482641435372111229709521615588/97351587507311568676570310209314860482817147196140625*t^27 - 95183333041914839044923504240047458514016333864042876/883347738039293466847838801762315974249154049203125*t^25 + 715253826309052244894865022649376456668400491758217088/22931707279500058399369895293749722691508039117313125*t^23 - 32438863042818263141974962423799695790307798014986256/4441318801167995500273220827643226924442268445645625*t^21 + 5831788944653886377012518095650948059967946259492689/4260040482752975275772273038759829907118094223374375*t^19 - 1588501593766950853138330485732417864525586876961631/7847442994544954455369976650347055092059647253584375*t^17 + 7816489084936243971114676821082910286393412418804872/337440048765433041580908995964923368958564831904128125*t^15 - 71921346217773558370454431784057678791812322628663856/35971109198395162232524898969860831130983011080980058125*t^13 + 347872832952964829506146780127254618788243717347014/2767008399876550940963453766912371625460231621613850625*t^11 - 1684878886459168216293826525883526306936771747610126/307137932386297154446943368127273250426085709999137419375*t^9 + 7199613989887729957954222242516917317615984724592/46536050361560174916203540625344431882740259090778396875*t^7 - 2028293685339227218822227941494362192655836981624/804408870535540166408661202238096608258795907140598003125*t^5 + 801596505597473951227847421374548721016397963/41217644605953297782923135982447925381855658051832294375*t^3 - 175351815396389822156450403278309407220007693/3908992295197030322169656328713777572025175786591338404375*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:
| (0.99926210499260983419 + 4.5613687369263955477e-903j)  +/-  (9.58e-238, 9.58e-238j)
| (-0.99555696979049809791 - 5.8729648417981861889e-902j)  +/-  (2.37e-237, 2.37e-237j)
| (-0.94297457122897433941 + 2.2792619696310461535e-912j)  +/-  (1.19e-237, 1.19e-237j)
| (-0.99926210499260983419 + 9.4134714740358224658e-913j)  +/-  (9.39e-238, 9.39e-238j)
| (0.89499199787827536885 - 4.892539081581425272e-925j)  +/-  (2.68e-238, 2.68e-238j)
| (0.92074711528170156175 - 9.5178610264624721626e-925j)  +/-  (6.47e-238, 6.47e-238j)
| (0.98803579453407724764 - 4.5709732756571951716e-923j)  +/-  (2.82e-237, 2.82e-237j)
| (-0.92074711528170156175 - 6.4332431275352141238e-924j)  +/-  (6.24e-238, 6.24e-238j)
| (-0.41788538219303774885 + 8.1279628020602387805e-944j)  +/-  (7.29e-247, 7.29e-247j)
| (-0.96161498642584251242 - 2.8580757446150610091e-932j)  +/-  (2.01e-237, 2.01e-237j)
| (0.86584706529327559545 - 4.552386498508163744e-947j)  +/-  (9.76e-239, 9.76e-239j)
| (0.67356636847346836449 - 4.7623301215254803539e-951j)  +/-  (5.94e-242, 5.94e-242j)
| (-0.89499199787827536885 - 2.6540298560844289617e-945j)  +/-  (2.82e-238, 2.82e-238j)
| (-0.79787379799850005941 + 2.8970816112760576886e-952j)  +/-  (8.28e-240, 8.28e-240j)
| (0.99555696979049809791 - 8.9556736265421602905e-951j)  +/-  (2.38e-237, 2.38e-237j)
| (0.79787379799850005941 - 2.6785645620194453421e-961j)  +/-  (8.46e-240, 8.46e-240j)
| (0.83344262876083400142 - 4.4397455896414725674e-960j)  +/-  (2.98e-239, 2.98e-239j)
| (-0.36117230580938783774 + 1.5683650799929701271e-968j)  +/-  (5.06e-248, 5.06e-248j)
| (-0.71776640681308438819 + 3.1434391914064574134e-959j)  +/-  (3.46e-241, 3.46e-241j)
| (-0.9766639214595175115 + 2.6335021398465329383e-968j)  +/-  (2.93e-237, 2.93e-237j)
| (0.94297457122897433941 + 6.7509748424777076095e-983j)  +/-  (1.19e-237, 1.19e-237j)
| (0.71776640681308438819 + 1.4987293428872544871e-995j)  +/-  (3.49e-241, 3.49e-241j)
| (-0.98803579453407724764 + 4.4763939518318819955e-995j)  +/-  (2.91e-237, 2.91e-237j)
| (-0.83344262876083400142 - 1.1166135938335481687e-1006j)  +/-  (3e-239, 3e-239j)
| (-0.75925926303735763058 + 1.3784308871236927876e-1011j)  +/-  (1.99e-240, 1.99e-240j)
| (0.18371893942104889202 + 1.3393649716583358906e-1024j)  +/-  (1.04e-251, 1.04e-251j)
| (0.75925926303735763058 - 1.8515049482246984698e-1011j)  +/-  (1.93e-240, 1.93e-240j)
| (0.36117230580938783774 + 3.8155832638570240759e-1021j)  +/-  (5.05e-248, 5.05e-248j)
| (0.9766639214595175115 - 3.1425470172476231036e-1013j)  +/-  (2.78e-237, 2.78e-237j)
| (-0.67356636847346836449 - 1.4872193816346432174e-1019j)  +/-  (5.45e-242, 5.45e-242j)
| (-0.86584706529327559545 + 4.7633607202514616273e-1021j)  +/-  (9.79e-239, 9.79e-239j)
| (0.30308953893110783017 + 3.2183912842825875161e-1032j)  +/-  (3.38e-249, 3.38e-249j)
| (0.62681009901031741279 + 9.4470511354665149476e-1025j)  +/-  (7.53e-243, 7.53e-243j)
| (0.96161498642584251242 + 9.1768716187456889298e-1029j)  +/-  (1.93e-237, 1.93e-237j)
| (-0.62681009901031741279 + 1.8582996540413965376e-1035j)  +/-  (8.23e-243, 8.23e-243j)
| (-0.57766293024122296772 - 3.5980392032798996458e-1037j)  +/-  (9.53e-244, 9.53e-244j)
| (-0.061544483005685078887 - 5.5924396689270649916e-1048j)  +/-  (2.28e-254, 2.28e-254j)
| (0.57766293024122296772 + 2.5016938163092287992e-1038j)  +/-  (9.39e-244, 9.39e-244j)
| (0.12286469261071039639 - 4.1630621308363575116e-1048j)  +/-  (5.12e-253, 5.12e-253j)
| (-0.18371893942104889202 + 8.981026750471437881e-1047j)  +/-  (1.06e-251, 1.06e-251j)
| (-0.5263252843347191826 + 2.0080131349205459987e-1040j)  +/-  (1.03e-244, 1.03e-244j)
| (-0.12286469261071039639 + 2.0282223756087507707e-1049j)  +/-  (4.54e-253, 4.54e-253j)
| (0.41788538219303774885 + 1.5972114321255361637e-1042j)  +/-  (8.05e-247, 8.05e-247j)
| (0.5263252843347191826 - 2.8390174570437507887e-1041j)  +/-  (9.98e-245, 9.98e-245j)
| (1.1362979328462569849e-1057 + 3.955299966917150028e-1058j)  +/-  (6.14e-1056, 6.14e-1056j)
| (-0.47300273144571496052 + 4.1545114362550544808e-1044j)  +/-  (8.21e-246, 8.21e-246j)
| (-0.30308953893110783017 - 4.3249135314052084689e-1048j)  +/-  (3.28e-249, 3.28e-249j)
| (0.061544483005685078887 + 3.0842462876234800575e-1052j)  +/-  (2.28e-254, 2.28e-254j)
| (0.47300273144571496052 + 8.8760128878594839338e-1044j)  +/-  (8.96e-246, 8.96e-246j)
| (0.24386688372098843205 - 1.4509543825243560809e-1048j)  +/-  (2.08e-250, 2.08e-250j)
| (-0.24386688372098843205 + 1.5749667477228999417e-1049j)  +/-  (2.03e-250, 2.03e-250j)
-------------------------------------------------
The weights are:
| (0.0019873838923303159265 - 4.7891857426368046158e-903j)  +/-  (7.53e-64, 1.05e-177j)
| (0.005561932135356713758 - 1.7340621152834785424e-902j)  +/-  (3.37e-64, 4.69e-178j)
| (0.020435371145882835457 - 2.179267872189184973e-902j)  +/-  (1.48e-64, 2.06e-178j)
| (0.0019873838923303159265 - 3.0048222886829870123e-902j)  +/-  (1.62e-64, 2.26e-178j)
| (0.027475317587851737803 + 3.8726730149088356374e-904j)  +/-  (3.43e-65, 4.78e-179j)
| (0.02400994560695321622 - 6.9308806878732625944e-904j)  +/-  (2.86e-65, 3.98e-179j)
| (0.0094739733861741516072 - 3.5818563113538734326e-903j)  +/-  (1.21e-65, 1.69e-179j)
| (0.02400994560695321622 + 1.7919573348880761049e-902j)  +/-  (1.02e-65, 1.42e-179j)
| (0.055950811220412317308 + 5.2449257698746096772e-903j)  +/-  (4.59e-68, 6.39e-182j)
| (0.016847817709128298232 + 2.7763187934778368585e-902j)  +/-  (1.61e-65, 2.24e-179j)
| (0.030792300167387488891 - 1.2620025859776192548e-904j)  +/-  (1.52e-66, 2.12e-180j)
| (0.04550291304992178891 - 8.9012557758801303465e-904j)  +/-  (3.62e-68, 5.05e-182j)
| (0.027475317587851737803 - 1.5211184720519320373e-902j)  +/-  (9.74e-67, 1.36e-180j)
| (0.03711627148341554356 + 1.0422268287090812245e-902j)  +/-  (2.44e-68, 3.4e-182j)
| (0.005561932135356713758 + 7.0155200931774292449e-903j)  +/-  (8.12e-67, 1.13e-180j)
| (0.03711627148341554356 + 3.1852219799642915971e-904j)  +/-  (4.46e-68, 6.22e-182j)
| (0.034002130274329337837 - 1.0605544996589129819e-904j)  +/-  (1.6e-67, 2.23e-181j)
| (0.057437116361567832854 - 4.8773189542020817646e-903j)  +/-  (1.27e-70, 1.77e-184j)
| (0.042872845020170049477 + 8.5306153855401125785e-903j)  +/-  (9.04e-70, 1.26e-183j)
| (0.013236229195571674814 - 3.8862245121301810074e-902j)  +/-  (8.87e-68, 1.24e-181j)
| (0.020435371145882835457 + 1.0691342277747819687e-903j)  +/-  (5.83e-69, 8.12e-183j)
| (0.042872845020170049477 + 7.0686844289958805738e-904j)  +/-  (3.86e-70, 5.38e-184j)
| (0.0094739733861741516072 + 7.0532308961920651405e-902j)  +/-  (7.43e-68, 1.04e-181j)
| (0.034002130274329337837 - 1.1674959974678718375e-902j)  +/-  (4.52e-70, 6.29e-184j)
| (0.040083825504032382075 - 9.3910565156469165375e-903j)  +/-  (9.51e-71, 1.32e-184j)
| (0.060539455376045862945 + 2.5368024003502702975e-903j)  +/-  (2.07e-75, 2.88e-189j)
| (0.040083825504032382075 - 5.1725944403119108357e-904j)  +/-  (1.34e-71, 1.86e-185j)
| (0.057437116361567832854 - 1.9601039165767757702e-903j)  +/-  (1.27e-75, 1.76e-189j)
| (0.013236229195571674814 + 2.275403765661758105e-903j)  +/-  (2e-71, 2.79e-185j)
| (0.04550291304992178891 - 7.7951425974328485041e-903j)  +/-  (1.29e-73, 1.8e-187j)
| (0.030792300167387488891 + 1.3221413126808007569e-902j)  +/-  (2.32e-71, 3.23e-185j)
| (0.058689680022394207962 + 2.1467770273896260419e-903j)  +/-  (2.24e-76, 3.12e-190j)
| (0.047982537138836713906 + 1.0689337346285659097e-903j)  +/-  (1.04e-74, 1.45e-188j)
| (0.016847817709128298232 - 1.559142311766976726e-903j)  +/-  (6.95e-72, 9.68e-186j)
| (0.047982537138836713906 + 7.1537716002085351145e-903j)  +/-  (5.07e-75, 7.07e-189j)
| (0.050277679080715671963 - 6.5908539418862340555e-903j)  +/-  (8.21e-76, 1.14e-189j)
| (0.061471189871425316662 + 3.4220117708647195758e-903j)  +/-  (2.24e-79, 3.12e-193j)
| (0.050277679080715671963 - 1.245588488514969437e-903j)  +/-  (3.17e-77, 4.41e-191j)
| (0.061128509717053048306 - 2.7425469585623144029e-903j)  +/-  (4.26e-79, 5.94e-193j)
| (0.060539455376045862945 + 3.9433796455284126544e-903j)  +/-  (7.63e-80, 1.06e-193j)
| (0.052362885806407475864 + 6.0938965973128067518e-903j)  +/-  (2.89e-78, 4.03e-192j)
| (0.061128509717053048306 - 3.6740008333462052358e-903j)  +/-  (7.92e-80, 1.1e-193j)
| (0.055950811220412317308 + 1.7782154020846206721e-903j)  +/-  (4.81e-80, 6.71e-194j)
| (0.052362885806407475864 + 1.4221330000892045765e-903j)  +/-  (9.9e-80, 1.38e-193j)
| (0.061580818067832935079 - 3.1842591261837024742e-903j)  +/-  (8.23e-81, 1.14e-194j)
| (0.054251129888545490145 - 5.6487697786951843245e-903j)  +/-  (3.69e-80, 5.1e-194j)
| (0.058689680022394207962 + 4.5416489012060163903e-903j)  +/-  (4.2e-81, 5.84e-195j)
| (0.061471189871425316662 + 2.9580791466307864414e-903j)  +/-  (2.19e-81, 3.11e-195j)
| (0.054251129888545490145 - 1.5994419776229505876e-903j)  +/-  (1.41e-81, 2e-195j)
| (0.059720340324174059979 - 2.3388210313734430642e-903j)  +/-  (9.31e-82, 1.34e-195j)
| (0.059720340324174059979 - 4.2319282073599389997e-903j)  +/-  (7.96e-82, 1.03e-195j)
