Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^50 - 345392766243630923079587225881/292195665583528468474853233*t^48 + 187725054971155862364498292114068/292195665583528468474853233*t^46 - 2709728846713558261681640832468780/12704159373196889933689271*t^44 + 615747111985337636037358422483076710/12704159373196889933689271*t^42 - 101708785166686607576802913308630812790/12704159373196889933689271*t^40 + 12660169294434749649636451814537856095340/12704159373196889933689271*t^38 - 63947610162344127375525060180183877362180/668639967010362628088909*t^36 + 4801953131760735519984023910577578084858075/668639967010362628088909*t^34 - 284740659041764959570066341692527126577372275/668639967010362628088909*t^32 + 13399914814374025957698641570768973538916790600/668639967010362628088909*t^30 - 501305584456389255955824252564640154165838510600/668639967010362628088909*t^28 + 14890221571301605790183688263984887901810796786300/668639967010362628088909*t^26 - 349732930805673750443972814304590273684942012217500/668639967010362628088909*t^24 + 6450717783053630735200396033902721753685249494185000/668639967010362628088909*t^22 - 92503189925449276009382051421330222922757289511665000/668639967010362628088909*t^20 + 1017275746153487584523051296556632553710295624652961875/668639967010362628088909*t^18 - 8424685007480385147912216592364718391915635927194116875/668639967010362628088909*t^16 + 51292588663862546900779810104798292002924074883410512500/668639967010362628088909*t^14 - 222330292927274555063606002089755788777369956120155212500/668639967010362628088909*t^12 + 656687071438016124772211351978128885484425937367330881250/668639967010362628088909*t^10 - 1242180377605770466788263350842993574293280756153177631250/668639967010362628088909*t^8 + 1370948948165553575173184842205450319607189368297186112500/668639967010362628088909*t^6 - 757135468764509414156583771742173734659223449588553812500/668639967010362628088909*t^4 + 155043449355262276343533487685415619567569979963213953125/668639967010362628088909*t^2 - 4832121260775887965916841297411512218813363901171578125/668639967010362628088909
-------------------------------------------------
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
Positive weights:   50 out of 50
Indefinite weights: 0 out of 50
Negative weights:   0 out of 50
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-10.445060214176661067 - 3.9027297126993201197e-717j)  +/-  (6.67e-244, 6.67e-244j)
| (-9.8038177345498925426 - 1.6728916879189707894e-732j)  +/-  (1.51e-243, 1.51e-243j)
| (12.850473411681887755 - 1.0033116157059226781e-742j)  +/-  (1.86e-246, 1.86e-246j)
| (-5.525396010536321161 + 8.2326991896145583057e-751j)  +/-  (3.29e-244, 3.29e-244j)
| (-9.200031531152063008 - 1.3471360186731417303e-760j)  +/-  (2.82e-243, 2.82e-243j)
| (-12.850473411681887755 + 2.3934328174186379324e-764j)  +/-  (1.69e-246, 1.69e-246j)
| (9.8038177345498925426 + 8.7081756083002805986e-763j)  +/-  (1.5e-243, 1.5e-243j)
| (-11.138945320497395717 - 3.5990480803379377608e-762j)  +/-  (1.54e-244, 1.54e-244j)
| (11.138945320497395717 - 1.1466845825778522028e-762j)  +/-  (1.64e-244, 1.64e-244j)
| (10.445060214176661067 + 2.8418802176294607026e-762j)  +/-  (6.7e-244, 6.7e-244j)
| (3.1924058335433194206 - 2.5126724420269698525e-765j)  +/-  (3.03e-247, 3.03e-247j)
| (11.914969624452368283 + 6.1942293997663942287e-764j)  +/-  (2.75e-245, 2.75e-245j)
| (-11.914969624452368283 - 1.0329482971887201519e-762j)  +/-  (2.76e-245, 2.76e-245j)
| (-8.6245942422045198544 - 3.6826275386932008905e-760j)  +/-  (3.87e-243, 3.87e-243j)
| (8.0715027624018715039 + 1.3699118750461707375e-765j)  +/-  (4.41e-243, 4.41e-243j)
| (-5.0461456279466298378 - 1.6827425569872143337e-768j)  +/-  (1.16e-244, 1.16e-244j)
| (7.5365351932726043922 + 1.0188564595429318136e-776j)  +/-  (3.93e-243, 3.93e-243j)
| (6.509253927498762061 - 1.3273665201535427982e-777j)  +/-  (1.77e-243, 1.77e-243j)
| (-7.5365351932726043922 + 3.0549794832028819096e-782j)  +/-  (3.85e-243, 3.85e-243j)
| (-6.509253927498762061 - 2.1295272801303290448e-798j)  +/-  (1.72e-243, 1.72e-243j)
| (5.0461456279466298378 + 6.0895921789020659533e-809j)  +/-  (1.06e-244, 1.06e-244j)
| (1.8568246158519571 + 1.5798268398427302211e-812j)  +/-  (7.88e-250, 7.88e-250j)
| (2.2967156266965962321 + 7.2037858669465240128e-812j)  +/-  (5.98e-249, 5.98e-249j)
| (-8.0715027624018715039 + 8.8355033569818498494e-805j)  +/-  (4.25e-243, 4.25e-243j)
| (-2.2967156266965962321 - 3.1203760324514143136e-820j)  +/-  (6.15e-249, 6.15e-249j)
| (-4.5739446660213038502 + 9.9354594489508007034e-814j)  +/-  (3.33e-245, 3.33e-245j)
| (8.6245942422045198544 + 1.5292042804003797283e-821j)  +/-  (3.76e-243, 3.76e-243j)
| (-4.1079832963525319081 + 3.8717888000527404352e-836j)  +/-  (7.42e-246, 7.42e-246j)
| (-7.0165785692317958089 - 2.622907230912986126e-854j)  +/-  (2.66e-243, 2.66e-243j)
| (7.0165785692317958089 + 6.3620113965122245454e-862j)  +/-  (2.97e-243, 2.97e-243j)
| (3.6476235652154266263 + 2.9708063086033430304e-870j)  +/-  (1.65e-246, 1.65e-246j)
| (4.1079832963525319081 + 6.5134845268361715227e-868j)  +/-  (7.31e-246, 7.31e-246j)
| (0.1939682194765473177 + 5.0855496983590550376e-876j)  +/-  (3.14e-254, 3.14e-254j)
| (-3.6476235652154266263 + 4.9288401426816071478e-865j)  +/-  (1.66e-246, 1.66e-246j)
| (-2.7420849765927715642 + 2.3217503755925761313e-871j)  +/-  (4.66e-248, 4.66e-248j)
| (-3.1924058335433194206 - 1.9696605429273583624e-868j)  +/-  (2.96e-247, 2.96e-247j)
| (-1.4237295665219759856 - 7.7119335997299099634e-876j)  +/-  (6.41e-251, 6.41e-251j)
| (1 + 2.755260252146059044e-876j)  +/-  (5.34e-252, 5.34e-252j)
| (6.0126925785863588473 + 3.4632630358072880423e-867j)  +/-  (8.54e-244, 8.54e-244j)
| (5.525396010536321161 + 1.0285668724804589236e-881j)  +/-  (3.17e-244, 3.17e-244j)
| (-1.8568246158519571 - 7.5889532630557844315e-894j)  +/-  (7.07e-250, 7.07e-250j)
| (9.200031531152063008 + 2.7569580956231283625e-905j)  +/-  (2.93e-243, 2.93e-243j)
| (2.7420849765927715642 - 4.5469039728523833765e-920j)  +/-  (4.63e-248, 4.63e-248j)
| (-0.1939682194765473177 - 1.2255282914401215502e-928j)  +/-  (3.14e-254, 3.14e-254j)
| (-6.0126925785863588473 - 4.9537528763120296535e-940j)  +/-  (7.94e-244, 7.94e-244j)
| (-0.58944424108893851913 + 1.1465615546081979502e-965j)  +/-  (4.47e-253, 4.47e-253j)
| (-1 - 2.402992117918041796e-964j)  +/-  (5.39e-252, 5.39e-252j)
| (1.4237295665219759856 - 1.2357377393980882241e-962j)  +/-  (6.33e-251, 6.33e-251j)
| (0.58944424108893851913 - 3.4974562890140539795e-965j)  +/-  (4.2e-253, 4.2e-253j)
| (4.5739446660213038502 - 6.6905225920485518295e-955j)  +/-  (3.33e-245, 3.33e-245j)
-------------------------------------------------
The weights are:
| (5.4031515100708110556e-25 - 1.1212828423155396079e-740j)  +/-  (4.34e-74, 4.04e-195j)
| (3.331751752105275715e-22 + 8.6947378844141165616e-740j)  +/-  (6.65e-73, 6.18e-194j)
| (5.9659601630271217566e-37 - 7.7431775387037139976e-749j)  +/-  (3.31e-81, 3.07e-202j)
| (4.5230662285645631009e-08 + 2.3175091023742287397e-733j)  +/-  (5.31e-63, 4.93e-184j)
| (9.7976954542172142706e-20 - 8.1776624856467531051e-739j)  +/-  (4.76e-72, 4.42e-193j)
| (5.9659601630271217566e-37 - 7.4989799220752586152e-748j)  +/-  (3.95e-80, 3.67e-201j)
| (3.331751752105275715e-22 - 2.753453941904603385e-741j)  +/-  (3e-77, 2.79e-198j)
| (3.3134720288993336763e-28 - 7.0607419496685431019e-743j)  +/-  (1.24e-76, 1.15e-197j)
| (3.3134720288993336763e-28 - 2.2698954883876186743e-744j)  +/-  (6.37e-80, 5.92e-201j)
| (5.4031515100708110556e-25 + 1.00942644217353307e-742j)  +/-  (8.7e-79, 8.09e-200j)
| (0.0011059148604732560085 + 2.1944844511404344998e-731j)  +/-  (8.25e-61, 7.67e-182j)
| (4.9528818609245307557e-32 + 2.5056596605404768709e-746j)  +/-  (1.7e-81, 1.58e-202j)
| (4.9528818609245307557e-32 + 3.811569909238526535e-745j)  +/-  (9.64e-81, 8.96e-202j)
| (1.5832884509256104017e-17 + 7.5778602091311552913e-738j)  +/-  (3.34e-75, 3.11e-196j)
| (1.5456011378360706024e-15 + 7.858059439367855825e-738j)  +/-  (1.15e-76, 1.07e-197j)
| (5.6076715657056332076e-07 - 8.1164810267428925858e-733j)  +/-  (1.56e-69, 1.45e-190j)
| (9.7478113175018869015e-14 - 6.8747148395962699233e-737j)  +/-  (5.73e-76, 5.33e-197j)
| (1.2609916882561830971e-10 - 3.0274343152898897082e-735j)  +/-  (1.43e-74, 1.33e-195j)
| (9.7478113175018869015e-14 + 4.2502072321448695981e-736j)  +/-  (1.4e-75, 1.3e-196j)
| (1.2609916882561830971e-10 + 1.3041310645407119389e-734j)  +/-  (3.41e-74, 3.17e-195j)
| (5.6076715657056332076e-07 + 2.828713803865855855e-733j)  +/-  (3.68e-73, 3.42e-194j)
| (0.031082332519872344565 - 2.0463026371146221029e-730j)  +/-  (1.34e-61, 1.25e-182j)
| (0.012637405254928523639 + 1.0604745230473546725e-730j)  +/-  (4.55e-64, 4.23e-185j)
| (1.5456011378360706024e-15 - 6.1302182668447034672e-737j)  +/-  (1.79e-76, 1.66e-197j)
| (0.012637405254928523639 - 1.6582912654906701919e-730j)  +/-  (5.29e-66, 4.91e-187j)
| (5.3593933870378179463e-06 + 2.5352505030642336222e-732j)  +/-  (6.9e-72, 6.41e-193j)
| (1.5832884509256104017e-17 - 7.2341303732794186107e-739j)  +/-  (1.1e-80, 1.02e-201j)
| (4.0001952839124456011e-05 - 7.1063081618141383669e-732j)  +/-  (1.3e-71, 1.21e-192j)
| (4.1744623234530289695e-12 - 2.531043185043670272e-735j)  +/-  (1.35e-75, 1.26e-196j)
| (4.1744623234530289695e-12 + 4.9695422120003236359e-736j)  +/-  (3.17e-78, 2.95e-199j)
| (0.00023568906043278753244 - 8.6708707642877988799e-732j)  +/-  (5.48e-73, 5.09e-194j)
| (4.0001952839124456011e-05 + 3.0944194862467004153e-732j)  +/-  (3.21e-74, 2.98e-195j)
| (0.1524465282917771039 - 1.0863941823758393488e-729j)  +/-  (1.38e-68, 1.29e-189j)
| (0.00023568906043278753244 + 1.7976753014940904284e-731j)  +/-  (5.54e-73, 5.15e-194j)
| (0.0041623709333747713578 + 8.6394859216288650928e-731j)  +/-  (3.94e-72, 3.66e-193j)
| (0.0011059148604732560085 - 4.126379891283840471e-731j)  +/-  (9.32e-73, 8.66e-194j)
| (0.062111934770884281984 - 4.7824690231242835797e-730j)  +/-  (4.09e-70, 3.8e-191j)
| (0.10109968994601713105 - 5.918611465807610141e-730j)  +/-  (2.85e-69, 2.65e-190j)
| (2.7682484111755819167e-09 + 1.5788349056143547103e-734j)  +/-  (1.17e-79, 1.09e-200j)
| (4.5230662285645631009e-08 - 7.1390362379995593046e-734j)  +/-  (3.98e-79, 3.7e-200j)
| (0.031082332519872344565 + 2.9311468090230848119e-730j)  +/-  (1.66e-73, 1.53e-194j)
| (9.7976954542172142706e-20 + 5.1826809906069876228e-740j)  +/-  (3.52e-85, 3.26e-206j)
| (0.0041623709333747713578 - 5.0465620236246760066e-731j)  +/-  (5.26e-76, 4.83e-197j)
| (0.1524465282917771039 + 1.1275070599725027323e-729j)  +/-  (1.75e-73, 1.58e-194j)
| (2.7682484111755819167e-09 - 5.8623464282483408369e-734j)  +/-  (1.56e-79, 1.43e-200j)
| (0.13507216411957369951 - 9.6831390746192220603e-730j)  +/-  (4.87e-74, 4.38e-195j)
| (0.10109968994601713105 + 7.1718827698748948205e-730j)  +/-  (2.32e-74, 2.13e-195j)
| (0.062111934770884281984 + 3.6350997167320841441e-730j)  +/-  (3.24e-75, 2.85e-196j)
| (0.13507216411957369951 + 8.6486258191600874708e-730j)  +/-  (1.02e-74, 8.59e-196j)
| (5.3593933870378179463e-06 - 9.9106091020944720817e-733j)  +/-  (2.43e-78, 2.29e-199j)
