Starting with polynomial:
P : t
Extension levels are: 1 2 48
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^51 - 2344976159974179967385637/1869618530014239455359*t^49 + 1356038952177960321962866812/1869618530014239455359*t^47 - 20887300115893944228613338732/81287762174532150233*t^45 + 5081172520297461244752586608810/81287762174532150233*t^43 - 901688530101157535501960961789870/81287762174532150233*t^41 + 121048031415001121260885986877249380/81287762174532150233*t^39 - 12582740730526776869764206564517635180/81287762174532150233*t^37 + 1028277585356073646155476110137832105215/81287762174532150233*t^35 - 66708888101444100572481533794316088178725/81287762174532150233*t^33 + 3455084292229562612940668026891986309736200/81287762174532150233*t^31 - 143217433736985242979932240662863515553691800/81287762174532150233*t^29 + 4749490565217674731815803460634536556897560300/81287762174532150233*t^27 - 125643364803018416055885285028739152614170796900/81287762174532150233*t^25 + 2636796093110563164701654499007410389830874265000/81287762174532150233*t^23 - 43536819690695865143356320653748540562601665755000/81287762174532150233*t^21 + 559120781768415539427274652443133714719483935654375/81287762174532150233*t^19 - 5500373980676034244294564056958520571110258377348125/81287762174532150233*t^17 + 40623582960260492028422761052806148533652014147972500/81287762174532150233*t^15 - 219332757736055236429566263293098151174707964476037500/81287762174532150233*t^13 + 835250393381932344906452608890159377871643186408106250/81287762174532150233*t^11 - 2134793654172795701217515404835618006614566291656268750/81287762174532150233*t^9 + 3406952870590997959580318455647053804795174727048112500/81287762174532150233*t^7 - 3031858596583890443738681041427174906383654804941337500/81287762174532150233*t^5 + 1230425455805217450376678266975759344075171227523390625/81287762174532150233*t^3 - 143709179564057665903468732002823497258858354358546875/81287762174532150233*t
-------------------------------------------------
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: 0
  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:
| (7.7821113990153597548 + 2.0501124799672473602e-538j)  +/-  (1.06e-242, 1.06e-242j)
| (13.048594446456377767 + 1.1053574305524276261e-542j)  +/-  (3.21e-246, 3.21e-246j)
| (11.349856095326441846 - 2.2099717023299425893e-543j)  +/-  (3.26e-244, 3.26e-244j)
| (12.119838850967229722 + 1.9874424257267895936e-541j)  +/-  (4.91e-245, 4.91e-245j)
| (10.026197421475648175 + 5.6687445102916339554e-539j)  +/-  (3.28e-243, 3.28e-243j)
| (10.661751126831552206 - 6.2955952459168604549e-540j)  +/-  (1.25e-243, 1.25e-243j)
| (8.8583995808707918194 - 5.5878119037471668534e-539j)  +/-  (9.61e-243, 9.61e-243j)
| (2.6075880242134982875 - 1.4035342093297351465e-545j)  +/-  (3.18e-248, 3.18e-248j)
| (5.3233617841387356255 + 3.8633340060251899065e-542j)  +/-  (3.86e-244, 3.86e-244j)
| (-3.4948218888288148233 - 9.4129959797725768508e-545j)  +/-  (1.44e-246, 1.44e-246j)
| (9.4280977593687980782 - 1.240366336048936407e-539j)  +/-  (6.44e-243, 6.44e-243j)
| (7.2682274552943864128 - 2.0480018081838413287e-539j)  +/-  (7.18e-243, 7.18e-243j)
| (-1.7320508075688772935 - 5.567138036774863739e-549j)  +/-  (4.02e-250, 4.02e-250j)
| (-1.2973855781827271606 + 2.7209376155283623565e-550j)  +/-  (3.3e-251, 3.3e-251j)
| (3.9442142429554016338 + 1.5907343154505941829e-545j)  +/-  (7.97e-246, 7.97e-246j)
| (4.3982854944489401436 + 2.3399073793594537744e-544j)  +/-  (3.1e-245, 3.1e-245j)
| (3.049474097900932089 - 1.2308677319196151821e-545j)  +/-  (2.41e-247, 2.41e-247j)
| (0.86413896969363821547 + 6.3634367528162717298e-551j)  +/-  (2.16e-252, 2.16e-252j)
| (-2.6075880242134982875 + 5.8782127753655794066e-547j)  +/-  (3.33e-248, 3.33e-248j)
| (-2.1686191692792418356 + 2.1924167762110616532e-548j)  +/-  (3.86e-249, 3.86e-249j)
| (2.1686191692792418356 + 3.2753626634167605544e-548j)  +/-  (3.68e-249, 3.68e-249j)
| (3.4948218888288148233 + 2.2097839634781357497e-545j)  +/-  (1.4e-246, 1.4e-246j)
| (6.7671127954553557074 + 2.4519505727339203487e-541j)  +/-  (5.28e-243, 5.28e-243j)
| (4.8577378133854742183 + 1.1485749518731084819e-543j)  +/-  (1.28e-244, 1.28e-244j)
| (1.7320508075688772935 - 7.2133872715809711955e-549j)  +/-  (4.29e-250, 4.29e-250j)
| (-0.86413896969363821547 + 5.6878487977198252422e-551j)  +/-  (2.11e-252, 2.11e-252j)
| (9.436317415659654112e-582 - 6.5229554327544198238e-581j)  +/-  (3.36e-579, 3.36e-579j)
| (1.2973855781827271606 - 1.3152749174714698882e-550j)  +/-  (3.08e-251, 3.08e-251j)
| (8.3111364222716414852 + 3.4178146861310648247e-540j)  +/-  (1.08e-242, 1.08e-242j)
| (-0.43183445635998905696 + 4.2418628712760932917e-575j)  +/-  (1.23e-253, 1.23e-253j)
| (5.7960628219986252121 + 3.2409828952808210796e-543j)  +/-  (1.09e-243, 1.09e-243j)
| (0.43183445635998905696 - 1.3552764606723732053e-553j)  +/-  (1.23e-253, 1.23e-253j)
| (6.2768959367740607465 - 1.5699323801339872976e-542j)  +/-  (2.47e-243, 2.47e-243j)
| (-3.049474097900932089 - 3.7381824177968266354e-550j)  +/-  (2.2e-247, 2.2e-247j)
| (-6.2768959367740607465 - 1.6918709362564647433e-544j)  +/-  (2.68e-243, 2.68e-243j)
| (-13.048594446456377767 + 1.481328425720690831e-558j)  +/-  (3.18e-246, 3.18e-246j)
| (-10.026197421475648175 + 8.1129817651779281899e-579j)  +/-  (3.29e-243, 3.29e-243j)
| (-8.3111364222716414852 + 2.5637805742792430942e-600j)  +/-  (1.1e-242, 1.1e-242j)
| (-12.119838850967229722 - 8.3099623268367811004e-609j)  +/-  (5.06e-245, 5.06e-245j)
| (-6.7671127954553557074 - 7.2583897478744446716e-608j)  +/-  (4.98e-243, 4.98e-243j)
| (-5.7960628219986252121 - 1.3270700340203003877e-615j)  +/-  (1.06e-243, 1.06e-243j)
| (-3.9442142429554016338 + 1.317459873275259696e-625j)  +/-  (7.4e-246, 7.4e-246j)
| (-11.349856095326441846 - 3.5089927771676641466e-632j)  +/-  (3.02e-244, 3.02e-244j)
| (-10.661751126831552206 + 2.8378423400842682354e-658j)  +/-  (1.27e-243, 1.27e-243j)
| (-5.3233617841387356255 + 3.066693066055880997e-683j)  +/-  (4.15e-244, 4.15e-244j)
| (-8.8583995808707918194 + 4.2870772498437520024e-711j)  +/-  (1.04e-242, 1.04e-242j)
| (-4.8577378133854742183 + 2.3975755074611664473e-728j)  +/-  (1.28e-244, 1.28e-244j)
| (-9.4280977593687980782 - 4.045596126039566488e-732j)  +/-  (6.29e-243, 6.29e-243j)
| (-7.2682274552943864128 - 3.977601899368315201e-749j)  +/-  (7.58e-243, 7.58e-243j)
| (-7.7821113990153597548 - 2.0027238336805249707e-771j)  +/-  (1.04e-242, 1.04e-242j)
| (-4.3982854944489401436 + 5.1930982916298968642e-787j)  +/-  (3.05e-245, 3.05e-245j)
-------------------------------------------------
The weights are:
| (1.4690767306462140839e-14 - 8.4446408196280368022e-552j)  +/-  (2.32e-37, 1.13e-157j)
| (4.5545764134049611714e-38 + 9.5308378743902933949e-565j)  +/-  (6.19e-49, 3.03e-169j)
| (3.0676733925735621516e-29 + 4.0863451429389583349e-560j)  +/-  (3.53e-46, 1.72e-166j)
| (4.1913151443524666204e-33 - 3.729756289344977922e-562j)  +/-  (1.36e-47, 6.64e-168j)
| (3.6400547119940767391e-23 + 7.7366384133540811045e-557j)  +/-  (1.59e-44, 7.77e-165j)
| (5.4417421770980081128e-26 - 2.2349487436154816785e-558j)  +/-  (1.57e-45, 7.68e-166j)
| (2.0298692584829266215e-18 + 4.1197093814271164953e-554j)  +/-  (3.45e-43, 1.69e-163j)
| (0.0058641027043079592745 + 4.7059431222209864102e-547j)  +/-  (1.62e-24, 7.92e-145j)
| (1.3137889032621919623e-07 - 5.9044907064864486081e-549j)  +/-  (1.36e-36, 6.67e-157j)
| (0.0003974571839313526418 + 3.5787794881757412753e-549j)  +/-  (2.31e-33, 1.13e-153j)
| (1.1597214370749411183e-20 - 1.9480197990475441402e-555j)  +/-  (3.94e-44, 1.93e-164j)
| (6.8356871979679133409e-13 + 9.593626723249967778e-551j)  +/-  (6.19e-41, 3.03e-161j)
| (0.038769621784339770603 + 6.9201771454941735103e-547j)  +/-  (3.23e-22, 1.58e-142j)
| (0.074605595148132034529 - 1.0883023448569998025e-546j)  +/-  (2.06e-17, 1.01e-137j)
| (7.5433174333340065707e-05 - 4.6427485392090770946e-548j)  +/-  (1.6e-33, 7.8e-154j)
| (1.1475913967099266477e-05 + 8.8485462282765716235e-549j)  +/-  (4.26e-35, 2.08e-155j)
| (0.0016924308094641567765 - 8.9651337383743157176e-548j)  +/-  (1.97e-30, 9.65e-151j)
| (0.11883431383580602176 + 2.0088813543419131149e-546j)  +/-  (1.53e-20, 7.47e-141j)
| (0.0058641027043079592745 + 1.4969293979465983673e-547j)  +/-  (4.89e-32, 2.39e-152j)
| (0.016628280665674163954 - 3.8074895989282736291e-547j)  +/-  (7.7e-29, 3.76e-149j)
| (0.016628280665674163954 - 1.0092744456023986058e-546j)  +/-  (1.75e-27, 8.53e-148j)
| (0.0003974571839313526418 + 1.0490191580904736778e-547j)  +/-  (1.15e-32, 5.6e-153j)
| (2.2483003946315429269e-11 - 3.4456437370387050564e-550j)  +/-  (2.23e-42, 1.09e-162j)
| (1.3860167606592844712e-06 + 7.0009044215612308753e-549j)  +/-  (8.19e-38, 4.01e-158j)
| (0.038769621784339770603 + 1.3196262146107737334e-546j)  +/-  (3.33e-28, 1.63e-148j)
| (0.11883431383580602176 + 1.5159650653511044265e-546j)  +/-  (3.17e-26, 1.55e-146j)
| (0.17224579331822022417 + 2.1303426696499745023e-546j)  +/-  (3.94e-26, 1.93e-146j)
| (0.074605595148132034529 - 1.6951018245056857052e-546j)  +/-  (2.61e-26, 1.28e-146j)
| (2.1472742383524898566e-16 - 8.4971825165035479659e-553j)  +/-  (1.38e-45, 6.76e-166j)
| (0.15699686452224821686 - 1.8923427497783259999e-546j)  +/-  (4.5e-27, 2.2e-147j)
| (9.6410356202945392398e-09 - 5.6905118781619657283e-549j)  +/-  (5.67e-41, 2.77e-161j)
| (0.15699686452224821686 - 2.1710596022341880445e-546j)  +/-  (3.45e-28, 1.69e-148j)
| (5.3881768617936231382e-10 + 1.2270840730438580567e-549j)  +/-  (5.36e-42, 2.62e-162j)
| (0.0016924308094641567765 + 2.3100377366788309487e-548j)  +/-  (4.31e-42, 2.11e-162j)
| (5.3881768617936231382e-10 + 6.8363433187956529255e-551j)  +/-  (5.95e-56, 2.91e-176j)
| (4.5545764134049611714e-38 - 2.4073486828378960259e-565j)  +/-  (3.38e-70, 1.65e-190j)
| (3.6400547119940767391e-23 - 9.8689589628266095433e-558j)  +/-  (1.97e-65, 9.61e-186j)
| (2.1472742383524898566e-16 + 3.0639296423875652082e-554j)  +/-  (2.37e-62, 1.16e-182j)
| (4.1913151443524666204e-33 + 8.1308555572500097523e-563j)  +/-  (3.31e-69, 1.62e-189j)
| (2.2483003946315429269e-11 - 1.2821420110529362795e-551j)  +/-  (3.2e-59, 1.57e-179j)
| (9.6410356202945392398e-09 - 3.2021613904445172418e-550j)  +/-  (3.15e-57, 1.54e-177j)
| (7.5433174333340065707e-05 - 6.443266155614076841e-548j)  +/-  (1.24e-52, 6.08e-173j)
| (3.0676733925735621516e-29 - 7.6368073750786729897e-561j)  +/-  (1.71e-68, 8.36e-189j)
| (5.4417421770980081128e-26 + 3.509089425627264842e-559j)  +/-  (2.29e-67, 1.12e-187j)
| (1.3137889032621919623e-07 + 1.3259061861451035824e-549j)  +/-  (4.83e-58, 2.36e-178j)
| (2.0298692584829266215e-18 - 2.7449465010162718697e-555j)  +/-  (5.82e-65, 2.85e-185j)
| (1.3860167606592844712e-06 - 4.9481246105663843543e-549j)  +/-  (4.62e-58, 2.26e-178j)
| (1.1597214370749411183e-20 + 1.9123299265999465769e-556j)  +/-  (4.99e-66, 2.44e-186j)
| (6.8356871979679133409e-13 + 2.0450602127669974619e-552j)  +/-  (7.37e-63, 3.6e-183j)
| (1.4690767306462140839e-14 - 2.7534679379320507119e-553j)  +/-  (9.72e-64, 4.75e-184j)
| (1.1475913967099266477e-05 + 1.7301513782422675668e-548j)  +/-  (6.1e-59, 2.98e-179j)
