Starting with polynomial:
P : t
Extension levels are: 1 2 46
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^49 - 364937148433476606323/30178539594261089130*t^47 + 10135676284296339348929/147716009592962173110*t^45 - 577287772887762794291/2377703119547843386*t^43 + 3939584551088517326256485/6560082906832499901974*t^41 - 629623051072700783088020597/570727212894427491471738*t^39 + 102192372627814120778329609/65468033867781831005530*t^37 - 9461725953025517421994964703/5433846811025891973458990*t^35 + 2683501798843043311231749427/1726045457619989215098738*t^33 - 293033653216756929262133425/261221438988465800752491*t^31 + 1446380147008139869065629831/2199315986322244322464521*t^29 - 1785452353799887636859202613/5687886171523045661546175*t^27 + 20616515535940533997648943173/169161947990111320971169575*t^25 - 18421283559168375682516050961/480419932291916151558121593*t^23 + 1272281242346655822932033005/131023617897795314061305889*t^21 - 5734197075512662453193624393/2926194133050762014035831521*t^19 + 19704478509014566922759525092/63400872882766510304109682955*t^17 - 2552051083901213291565279097/67130335993517481498469076070*t^15 + 16228694545791982923799112423/4640943895018508554260828792306*t^13 - 14765206561277210713710517615/63188236109098154931089745864474*t^11 + 38928616086145545518668053991/3601729458218594831072115514275018*t^9 - 33951163480317850603446967/105313726848496924885149576440790*t^7 + 11095341391365032786713337/2000960810121441572817841952375010*t^5 - 535992256348540611645224437/11898913553468164456918578953993234466*t^3 + 433247402014982250309545/3966304517822721485639526317997744822*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:
| (-0.99880954492634771519 - 1.7257540633242814894e-909j)  +/-  (5.12e-239, 5.12e-239j)
| (-0.99373313949023041129 - 3.0434037042526213914e-913j)  +/-  (1.54e-238, 1.54e-238j)
| (-0.90885375188839683921 - 2.1318352502659560435e-915j)  +/-  (6.04e-239, 6.04e-239j)
| (0.99880954492634771519 + 1.371717021899983325e-911j)  +/-  (5.05e-239, 5.05e-239j)
| (0.90885375188839683921 - 1.6757220650982529116e-927j)  +/-  (5.83e-239, 5.83e-239j)
| (0.81321122267737656915 + 1.6731610978695386177e-933j)  +/-  (2.89e-240, 2.89e-240j)
| (-0.88048214147436821779 - 5.5425017353584964882e-938j)  +/-  (2.42e-239, 2.42e-239j)
| (-0.93355058768832886286 + 2.2361247727053913112e-937j)  +/-  (1.09e-238, 1.09e-238j)
| (0.99373313949023041129 + 2.3896447069193149173e-935j)  +/-  (1.48e-238, 1.48e-238j)
| (-0.98462302116407822151 - 3.5262377861565128698e-945j)  +/-  (2.42e-238, 2.42e-238j)
| (0.88048214147436821779 - 1.7226463206755878067e-946j)  +/-  (2.45e-239, 2.45e-239j)
| (0.95446766723776514625 + 9.0960149159295103404e-953j)  +/-  (1.77e-238, 1.77e-238j)
| (-0.81321122267737656915 + 1.4515156622912249522e-974j)  +/-  (2.79e-240, 2.79e-240j)
| (-0.84855619933027379318 - 4.2456463625553084106e-974j)  +/-  (9.33e-240, 9.33e-240j)
| (0.98462302116407822151 + 7.4224765367044908713e-971j)  +/-  (2.16e-238, 2.16e-238j)
| (0.77459666924148337704 + 7.8938173226451636889e-991j)  +/-  (7.26e-241, 7.26e-241j)
| (0.97151599496815703805 - 6.715092186304507984e-994j)  +/-  (2.17e-238, 2.17e-238j)
| (-0.97151599496815703805 - 8.7385305645321765975e-1002j)  +/-  (2.11e-238, 2.11e-238j)
| (-0.77459666924148337704 - 1.7123174135628962158e-1009j)  +/-  (8.11e-241, 8.11e-241j)
| (-0.95446766723776514625 - 8.271802660169752255e-1007j)  +/-  (1.71e-238, 1.71e-238j)
| (0.84855619933027379318 - 2.6232049900939098346e-1008j)  +/-  (8.63e-240, 8.63e-240j)
| (0.93355058768832886286 - 3.2007156086794933709e-1023j)  +/-  (1.09e-238, 1.09e-238j)
| (0.36988510986301243741 - 2.156232240374508521e-1043j)  +/-  (4.27e-248, 4.27e-248j)
| (-0.68822268105219173651 - 4.1961368558652192891e-1035j)  +/-  (2.93e-242, 2.93e-242j)
| (-0.73287537465803831504 + 6.0472210692851791847e-1037j)  +/-  (1.64e-241, 1.64e-241j)
| (-0.063060576950221367751 + 1.5863821817754604179e-1044j)  +/-  (2.28e-254, 2.28e-254j)
| (0.68822268105219173651 - 2.6117322478443941638e-1037j)  +/-  (3.03e-242, 3.03e-242j)
| (0.73287537465803831504 - 7.5547591394877567246e-1040j)  +/-  (1.6e-241, 1.6e-241j)
| (-0.12587836098052821846 - 3.2573790781138146778e-1049j)  +/-  (4.24e-253, 4.24e-253j)
| (-0.64082547895039062277 - 7.6645116217552062861e-1042j)  +/-  (5.04e-243, 5.04e-243j)
| (-0.42787353090337220704 - 7.716966529980366758e-1046j)  +/-  (5.8e-247, 5.8e-247j)
| (0.53859654618667324447 - 1.7725379739499702186e-1042j)  +/-  (7.93e-245, 7.93e-245j)
| (0.64082547895039062277 + 7.2739395799090315202e-1042j)  +/-  (5.1e-243, 5.1e-243j)
| (0.12587836098052821846 + 8.6718556351030479056e-1053j)  +/-  (4.13e-253, 4.13e-253j)
| (-0.53859654618667324447 + 1.1471396537500549243e-1043j)  +/-  (7.17e-245, 7.17e-245j)
| (-0.59088116794699891837 - 1.5092578690060131956e-1045j)  +/-  (6.29e-244, 6.29e-244j)
| (0.063060576950221367751 - 2.6855872157504016564e-1055j)  +/-  (1.72e-254, 1.72e-254j)
| (0.59088116794699891837 + 8.6998968365991856716e-1048j)  +/-  (6.09e-244, 6.09e-244j)
| (0.24981627852576530216 + 1.1633969876459996552e-1055j)  +/-  (1.72e-250, 1.72e-250j)
| (-0.24981627852576530216 + 7.5400897348007042263e-1055j)  +/-  (1.79e-250, 1.79e-250j)
| (-0.48418664482206799331 + 2.596194254038794012e-1050j)  +/-  (7.36e-246, 7.36e-246j)
| (-0.18821086465036125365 - 3.7662099814899653816e-1057j)  +/-  (9.01e-252, 9.01e-252j)
| (0.31045396544146596841 - 1.6462938137137006062e-1053j)  +/-  (2.73e-249, 2.73e-249j)
| (0.48418664482206799331 - 1.6202928859881489735e-1050j)  +/-  (7.45e-246, 7.45e-246j)
| (-1.9954688625634606963e-1063 - 7.2497787410837987688e-1063j)  +/-  (3.68e-1061, 3.68e-1061j)
| (-0.36988510986301243741 - 2.1374844648395820359e-1052j)  +/-  (4.62e-248, 4.62e-248j)
| (-0.31045396544146596841 + 9.1525398886406711543e-1054j)  +/-  (2.73e-249, 2.73e-249j)
| (0.18821086465036125365 + 2.3844003947585121965e-1056j)  +/-  (8.7e-252, 8.7e-252j)
| (0.42787353090337220704 + 9.5185421038294197443e-1052j)  +/-  (6.09e-247, 6.09e-247j)
-------------------------------------------------
The weights are:
| (0.003054455667651329567 - 2.2148250899869569005e-909j)  +/-  (9.43e-63, 2.39e-177j)
| (0.0070975500723839189301 + 3.6341388646850706528e-909j)  +/-  (7.53e-63, 1.91e-177j)
| (0.026553027294473567202 - 1.5294931800262642392e-909j)  +/-  (8.25e-64, 2.09e-178j)
| (0.003054455667651329567 - 2.0241874728845917058e-911j)  +/-  (2.19e-65, 5.54e-180j)
| (0.026553027294473567202 - 8.4250806878415871065e-911j)  +/-  (3.17e-65, 8.04e-180j)
| (0.037005817064235675628 + 1.3958085580001968784e-910j)  +/-  (1.7e-65, 4.3e-180j)
| (0.030170109613856678572 + 1.4239735076426257589e-909j)  +/-  (2.55e-64, 6.46e-179j)
| (0.022823138646568137742 + 1.6638764487617245068e-909j)  +/-  (3.05e-64, 7.74e-179j)
| (0.0070975500723839189301 + 3.8144643651915449602e-911j)  +/-  (9.64e-66, 2.44e-180j)
| (0.011116393710434655679 - 2.5521820719859968328e-909j)  +/-  (4.24e-64, 1.08e-178j)
| (0.030170109613856678572 + 1.0092846654068562864e-910j)  +/-  (4.86e-66, 1.23e-180j)
| (0.01899618032226548411 - 5.6520256842792788528e-911j)  +/-  (1.51e-66, 3.83e-181j)
| (0.037005817064235675628 + 1.2656252949993587974e-909j)  +/-  (1.64e-67, 4.15e-182j)
| (0.033659213577713123857 - 1.3379133126443273736e-909j)  +/-  (3.82e-67, 9.67e-182j)
| (0.011116393710434655679 - 3.8543255231672614827e-911j)  +/-  (1.43e-66, 3.61e-181j)
| (0.040196136006606680614 - 1.6155025065262220094e-910j)  +/-  (5.32e-69, 1.35e-183j)
| (0.0150883762058208644 + 4.5939000728861042744e-911j)  +/-  (9.06e-67, 2.3e-181j)
| (0.0150883762058208644 + 2.1073001744504076641e-909j)  +/-  (3.11e-67, 7.89e-182j)
| (0.040196136006606680614 - 1.2033947382490296849e-909j)  +/-  (1.17e-69, 2.97e-184j)
| (0.01899618032226548411 - 1.8443152225784599689e-909j)  +/-  (1.65e-67, 4.18e-182j)
| (0.033659213577713123857 - 1.1937647880553867445e-910j)  +/-  (5.06e-69, 1.28e-183j)
| (0.022823138646568137742 + 6.9400845108575834472e-911j)  +/-  (4.42e-68, 1.12e-182j)
| (0.058748880775464650526 - 4.0089606984303477521e-910j)  +/-  (2.62e-74, 6.63e-189j)
| (0.046057007952782857026 - 1.0995207143165566737e-909j)  +/-  (3.77e-72, 9.56e-187j)
| (0.043217213492263686043 + 1.1486497712121344789e-909j)  +/-  (3.15e-71, 7.98e-186j)
| (0.062979631367645031683 + 6.7207277819963639651e-910j)  +/-  (6.8e-76, 1.72e-190j)
| (0.046057007952782857026 - 2.1085680700485022014e-910j)  +/-  (1.59e-73, 4.03e-188j)
| (0.043217213492263686043 + 1.8530292010168146353e-910j)  +/-  (1.07e-72, 2.72e-187j)
| (0.06261551604467652166 - 7.1081009839681508446e-910j)  +/-  (1.83e-76, 4.64e-191j)
| (0.048704477771836976297 + 1.0545916676393438439e-909j)  +/-  (2.8e-74, 7.1e-189j)
| (0.057189179231549808084 + 8.9765272306084813599e-910j)  +/-  (1.26e-76, 3.2e-191j)
| (0.053383726572648991312 + 2.9832206178091446422e-910j)  +/-  (1.38e-76, 3.49e-191j)
| (0.048704477771836976297 + 2.3822087921835717181e-910j)  +/-  (2.81e-75, 7.12e-190j)
| (0.06261551604467652166 - 5.5393107804423215311e-910j)  +/-  (1.54e-78, 3.9e-193j)
| (0.053383726572648991312 + 9.7311510112789904381e-910j)  +/-  (4.66e-77, 1.18e-191j)
| (0.051149658396161491879 - 1.0127536178363189896e-909j)  +/-  (2.17e-76, 5.5e-191j)
| (0.062979631367645031683 + 5.9343437688535258153e-910j)  +/-  (4.1e-79, 1.04e-193j)
| (0.051149658396161491879 - 2.6738698274933859826e-910j)  +/-  (1.19e-77, 3.02e-192j)
| (0.061161529187514868182 - 4.7586264845271237741e-910j)  +/-  (9.39e-80, 2.38e-194j)
| (0.061161529187514868182 - 7.8665500036833334154e-910j)  +/-  (3.19e-80, 8.08e-195j)
| (0.055399044931643164912 - 9.3494756238983450396e-910j)  +/-  (3.97e-79, 1.01e-193j)
| (0.062009181565790375729 + 7.4900711608586948872e-910j)  +/-  (3.26e-80, 8.26e-195j)
| (0.06007402846819562606 + 4.3785927838691309761e-910j)  +/-  (1.24e-80, 3.14e-195j)
| (0.055399044931643164912 - 3.3096100338355886109e-910j)  +/-  (1.37e-80, 3.48e-195j)
| (0.063101052119631668611 - 6.3289084015929887013e-910j)  +/-  (1.52e-80, 3.86e-195j)
| (0.058748880775464650526 - 8.6074436080629093395e-910j)  +/-  (5.2e-81, 1.32e-195j)
| (0.06007402846819562606 + 8.238394658536717866e-910j)  +/-  (4.23e-81, 1.07e-195j)
| (0.062009181565790375729 + 5.1464639338346174212e-910j)  +/-  (1.03e-81, 2.69e-196j)
| (0.057189179231549808084 + 3.6520068705676973107e-910j)  +/-  (6.82e-82, 1.63e-196j)
