Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 50
-------------------------------------------------
Trying to find an order 50 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^53 - 128008855888268914275007/3880782021019994915088*t^51 + 26821482313068171794774975/130652994707673162141296*t^49 - 863742036496053843999624775/1077887206338303587665692*t^47 + 690204163857897312146673747275/313665177044446344010716372*t^45 - 28637030384278693485080071925/6336670243322148363852856*t^43 + 26891531813066337219571137389055/3732298773316745386309332184*t^41 - 664882796382995320647031572501325/72779826079676535033031977588*t^39 + 81841657947607006743205599787225/8741436600662903667935014852*t^37 - 7949866012937507042679182297162725/1014006645676896825480461722832*t^35 + 16431845727593357782060365372170425/3042019937030690476441385168496*t^33 - 2939813241457809231726263258236205/956392631717982233123617306762*t^31 + 13255083273702119805773775390356525/9162858439362603975410140003494*t^29 - 84232760924669197935029454704535175/149765341388202561529117460746764*t^27 + 10985967235208378394140496831918025/61015509454452895437788595119052*t^25 - 479920039038613420451770733740125/10169251575742149239631432519842*t^23 + 3050499924939652338779391028586435/303690831148299638656265962069827*t^21 - 197417597001768647511338643416847575/114997594728156129837839377637107824*t^19 + 26691018440079601245992891116353025/114997594728156129837839377637107824*t^17 - 140659896314146947139671083053287475/5778629135089845524351428726264668156*t^15 + 48310908561437506972404167987101075/25040726252055997272189524480480228676*t^13 - 1289547031644179114174787943008205/11557258270179691048702857452529336312*t^11 + 862166943681069720212295840890575/192270751222080314719329355801169867736*t^9 - 808353915100190477248660776263575/6932428752396118014046930661942180231148*t^7 + 4052766696395137196840046099025/2310809584132039338015643553980726743716*t^5 - 217195691025430481192549627723495/17386531311009463979229702100150988019719184*t^3 + 2302969785587148311136753817/86500155776166487458854239304233771242384*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:
| (0.99901876186063649471 + 4.0793114490013169827e-865j)  +/-  (2.81e-237, 2.81e-237j)
| (-0.96228832795772968133 - 8.8749553391721610785e-882j)  +/-  (1.05e-236, 1.05e-236j)
| (-0.90031566237018694564 + 1.4363734598373028385e-884j)  +/-  (1.56e-237, 1.56e-237j)
| (-0.99483149820568338586 - 1.5796080570452431272e-882j)  +/-  (8.91e-237, 8.91e-237j)
| (0.90031566237018694564 - 5.6736945029121451528e-884j)  +/-  (1.62e-237, 1.62e-237j)
| (0.94484874076139116482 - 8.1811196987429230224e-895j)  +/-  (6.5e-237, 6.5e-237j)
| (-0.98730505810320053379 + 5.386443018048198069e-900j)  +/-  (1.18e-236, 1.18e-236j)
| (-0.9241732447559803354 + 1.6384306251545226793e-900j)  +/-  (3.74e-237, 3.74e-237j)
| (-0.99901876186063649471 - 1.4978023293215276468e-900j)  +/-  (2.93e-237, 2.93e-237j)
| (0.99483149820568338586 - 1.6826947914669436638e-897j)  +/-  (9.01e-237, 9.01e-237j)
| (0.87334278657458524358 - 1.0195579701290688328e-909j)  +/-  (6.7e-238, 6.7e-238j)
| (0.98730505810320053379 - 9.1022083418942477123e-909j)  +/-  (1.19e-236, 1.19e-236j)
| (-0.87334278657458524358 - 1.0748377288893450758e-921j)  +/-  (6.35e-238, 6.35e-238j)
| (-0.77459666924148337704 + 4.0215365096087039773e-924j)  +/-  (1.46e-239, 1.46e-239j)
| (4.7982174022058049763e-948 + 1.5300294228618844052e-947j)  +/-  (8.5e-946, 8.5e-946j)
| (0.84333457701676405722 + 5.3962135922513660855e-920j)  +/-  (2.04e-238, 2.04e-238j)
| (0.81038400785226866495 - 6.1081507342746640239e-925j)  +/-  (6.03e-239, 6.03e-239j)
| (-0.94484874076139116482 - 7.6309457058300262738e-925j)  +/-  (6.89e-237, 6.89e-237j)
| (-0.81038400785226866495 - 1.912031174382127815e-927j)  +/-  (6.61e-239, 6.61e-239j)
| (-0.97645051901325477526 + 1.2142590373727422473e-924j)  +/-  (1.26e-236, 1.26e-236j)
| (0.96228832795772968133 - 7.9983174418162168519e-923j)  +/-  (1.04e-236, 1.04e-236j)
| (0.73609020999773502478 + 1.5747800856673974019e-943j)  +/-  (3.11e-240, 3.11e-240j)
| (0.97645051901325477526 - 7.6434234402042703898e-947j)  +/-  (1.33e-236, 1.33e-236j)
| (-0.73609020999773502478 - 3.016685168943213265e-963j)  +/-  (3.03e-240, 3.03e-240j)
| (-0.84333457701676405722 + 2.7474556647720497054e-962j)  +/-  (2.22e-238, 2.22e-238j)
| (0.77459666924148337704 - 1.8826430984344643526e-961j)  +/-  (1.44e-239, 1.44e-239j)
| (0.694993685949841542 + 1.7842831502513347292e-969j)  +/-  (5.6e-241, 5.6e-241j)
| (0.9241732447559803354 + 1.607260086933386957e-980j)  +/-  (3.43e-237, 3.43e-237j)
| (-0.059169510590580290731 + 2.5301315817597871327e-1009j)  +/-  (1.61e-254, 1.61e-254j)
| (-0.65144685669215758066 + 2.5601486353161024427e-995j)  +/-  (8.91e-242, 8.91e-242j)
| (-0.694993685949841542 + 2.3968515620308131153e-997j)  +/-  (5.7e-241, 5.7e-241j)
| (0.50764729669073048309 - 1.1199654602464958137e-998j)  +/-  (1.29e-244, 1.29e-244j)
| (0.65144685669215758066 - 3.9462570575416428125e-997j)  +/-  (8.32e-242, 8.32e-242j)
| (0.059169510590580290731 - 3.6359758948708109738e-1012j)  +/-  (1.61e-254, 1.61e-254j)
| (-0.55761045196734733484 + 1.1653218426800999658e-998j)  +/-  (1.33e-243, 1.33e-243j)
| (-0.60559945631738100404 - 5.8142501643483290793e-1000j)  +/-  (1.14e-242, 1.14e-242j)
| (0.23457927269494499743 + 4.2203317560084564117e-1007j)  +/-  (1.88e-250, 1.88e-250j)
| (0.60559945631738100404 + 9.8294216736529947691e-1000j)  +/-  (1.18e-242, 1.18e-242j)
| (0.40250626881689739876 - 1.5309086053108435804e-1004j)  +/-  (8.72e-247, 8.72e-247j)
| (-0.29165711145732195843 - 6.9037072171914054227e-1008j)  +/-  (3.42e-249, 3.42e-249j)
| (-0.50764729669073048309 - 2.1940359244810951176e-1003j)  +/-  (1.28e-244, 1.28e-244j)
| (-0.23457927269494499743 + 1.5357671115927855765e-1009j)  +/-  (1.62e-250, 1.62e-250j)
| (0.34769896077377761463 + 3.1265872763989496039e-1006j)  +/-  (5.31e-248, 5.31e-248j)
| (0.55761045196734733484 - 9.4160088684341363776e-1004j)  +/-  (1.33e-243, 1.33e-243j)
| (0.17666791910386119928 - 8.1388243828555390616e-1013j)  +/-  (9.08e-252, 9.08e-252j)
| (-0.45588517892427737581 + 2.1139086005485371766e-1006j)  +/-  (1.12e-245, 1.12e-245j)
| (-0.34769896077377761463 + 9.9482615975650505369e-1010j)  +/-  (5.57e-248, 5.57e-248j)
| (0.11812867063396060338 + 7.1917115134362123988e-1014j)  +/-  (4.01e-253, 4.01e-253j)
| (0.45588517892427737581 + 3.5464767302959008584e-1006j)  +/-  (1.16e-245, 1.16e-245j)
| (0.29165711145732195843 - 4.5991039650570324828e-1010j)  +/-  (3.07e-249, 3.07e-249j)
| (-0.17666791910386119928 - 6.1167616574014698555e-1013j)  +/-  (8.99e-252, 8.99e-252j)
| (-0.40250626881689739876 - 1.3230028947153073088e-1007j)  +/-  (8.23e-247, 8.23e-247j)
| (-0.11812867063396060338 + 2.3739118647479999902e-1014j)  +/-  (4.27e-253, 4.27e-253j)
-------------------------------------------------
The weights are:
| (0.0025179962158078495486 - 5.2099579752574007245e-865j)  +/-  (1.37e-54, 4.4e-168j)
| (0.01580682352927404846 - 7.512151368872864043e-867j)  +/-  (6.77e-55, 2.18e-168j)
| (0.025427458489351718276 + 1.4308689902036379618e-866j)  +/-  (3.45e-55, 1.11e-168j)
| (0.0058577825760126687635 + 1.7859096597106730222e-867j)  +/-  (1.58e-55, 5.07e-169j)
| (0.025427458489351718276 + 2.7534076879937581427e-865j)  +/-  (3.41e-57, 1.1e-170j)
| (0.019065454940340952587 + 3.4920407793773780417e-865j)  +/-  (2.72e-57, 8.76e-171j)
| (0.0091931509219526216537 - 3.4602218659669022108e-867j)  +/-  (9.8e-56, 3.15e-169j)
| (0.022276577153298408922 - 1.2008078304600716668e-866j)  +/-  (1.66e-56, 5.34e-170j)
| (0.0025179962158078495486 - 5.1408898330179027578e-868j)  +/-  (6.54e-56, 2.1e-169j)
| (0.0058577825760126687635 + 8.5039699739398381786e-865j)  +/-  (2.52e-58, 8.11e-172j)
| (0.028504963705454113394 - 2.4748859202705342967e-865j)  +/-  (3.98e-59, 1.28e-172j)
| (0.0091931509219526216537 - 5.8675900100057304244e-865j)  +/-  (1.14e-58, 3.66e-172j)
| (0.028504963705454113394 - 1.661183984533619504e-866j)  +/-  (3.57e-58, 1.15e-171j)
| (0.037167480463902345534 + 2.3457922538147788553e-866j)  +/-  (8.86e-60, 2.85e-173j)
| (0.059204595342033490206 - 6.4008889884080332952e-866j)  +/-  (5.28e-62, 1.7e-175j)
| (0.031495952864809232103 + 2.2373310606760810916e-865j)  +/-  (6.45e-60, 2.07e-173j)
| (0.034387577662022581503 - 2.0323317043111350818e-865j)  +/-  (1.41e-60, 4.53e-174j)
| (0.019065454940340952587 + 9.7313177180615455475e-867j)  +/-  (1.9e-58, 6.11e-172j)
| (0.034387577662022581503 - 2.1187565174721510526e-866j)  +/-  (5.35e-61, 1.72e-174j)
| (0.012512540970833807148 + 5.3994229157764319284e-867j)  +/-  (3.13e-58, 1.01e-171j)
| (0.01580682352927404846 - 4.0112882353924725518e-865j)  +/-  (5.53e-61, 1.78e-174j)
| (0.039823916939217552853 - 1.6974911898384514203e-865j)  +/-  (5.86e-64, 1.89e-177j)
| (0.012512540970833807148 + 4.7262847075399883208e-865j)  +/-  (6.46e-61, 2.08e-174j)
| (0.039823916939217552853 - 2.5722816698148481348e-866j)  +/-  (1.71e-63, 5.49e-177j)
| (0.031495952864809232103 + 1.890609445305817075e-866j)  +/-  (2.62e-61, 8.42e-175j)
| (0.037167480463902345534 + 1.8538875967911881241e-865j)  +/-  (1.63e-63, 5.25e-177j)
| (0.042345825705216776963 + 1.5596274447565565975e-865j)  +/-  (3.19e-65, 1.03e-178j)
| (0.022276577153298408922 - 3.0855341914389460724e-865j)  +/-  (6.21e-62, 2e-175j)
| (0.059099354252736530765 + 6.034192251755601875e-866j)  +/-  (7.42e-69, 2.39e-182j)
| (0.044722864756343231936 - 3.0271964104948658641e-866j)  +/-  (4.72e-67, 1.52e-180j)
| (0.042345825705216776963 + 2.799069469043947759e-866j)  +/-  (3.8e-66, 1.22e-179j)
| (0.050892441583476921931 + 1.1443057046027924244e-865j)  +/-  (8e-70, 2.58e-183j)
| (0.044722864756343231936 - 1.4374820064085307636e-865j)  +/-  (9.94e-68, 3.2e-181j)
| (0.059099354252736530765 + 6.7939741037140255989e-866j)  +/-  (5.06e-71, 1.63e-184j)
| (0.049004658337447097696 - 3.4922999885472178542e-866j)  +/-  (1.16e-69, 3.74e-183j)
| (0.046945429012484642374 + 3.2578438289166946694e-866j)  +/-  (9.88e-69, 3.18e-182j)
| (0.057528630053091771463 - 8.1696093261640358744e-866j)  +/-  (3.37e-72, 1.08e-185j)
| (0.046945429012484642374 + 1.3287592871529267574e-865j)  +/-  (7.22e-70, 2.32e-183j)
| (0.054124988812978718683 + 9.944932882578279435e-866j)  +/-  (5.01e-72, 1.61e-185j)
| (0.05659328874314518202 + 4.7730535479893415363e-866j)  +/-  (1.49e-73, 4.8e-187j)
| (0.050892441583476921931 + 3.7319429045450015634e-866j)  +/-  (3.02e-72, 9.73e-186j)
| (0.057528630053091771463 - 5.0625664155066548679e-866j)  +/-  (1.08e-73, 3.46e-187j)
| (0.055457305045117246322 - 9.2984976237131125396e-866j)  +/-  (1.63e-73, 5.25e-187j)
| (0.049004658337447097696 - 1.2315618133555171356e-865j)  +/-  (2.79e-72, 8.97e-186j)
| (0.058259794102390158422 + 7.6740134792263165198e-866j)  +/-  (3.98e-74, 1.28e-187j)
| (0.052601419635627123228 - 3.9782354567933177688e-866j)  +/-  (2.26e-74, 7.29e-188j)
| (0.055457305045117246322 - 4.4970787277056745433e-866j)  +/-  (6.79e-75, 2.18e-188j)
| (0.05878402585664995235 - 7.2170036273612115687e-866j)  +/-  (9.32e-75, 3e-188j)
| (0.052601419635627123228 - 1.0656587302459373941e-865j)  +/-  (1.84e-74, 5.9e-188j)
| (0.05659328874314518202 + 8.7090741389952752568e-866j)  +/-  (7.86e-75, 2.53e-188j)
| (0.058259794102390158422 + 5.3676983452695764785e-866j)  +/-  (1.79e-76, 5.78e-190j)
| (0.054124988812978718683 + 4.2327297601467811956e-866j)  +/-  (1.58e-76, 5.32e-190j)
| (0.05878402585664995235 - 5.6907323051294887793e-866j)  +/-  (1.81e-76, 5.75e-190j)
