Starting with polynomial:
P : t^3 - 3*t
Extension levels are: 3 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^49 - 68478338013681585303329/59819690938516857788*t^47 + 36002012880922200430827785/59819690938516857788*t^45 - 1049744521963485120156187365/5438153721683350708*t^43 + 230136019430467929332737421385/5438153721683350708*t^41 - 36619922936539371217595349399885/5438153721683350708*t^39 + 4383946027780527250040787569039805/5438153721683350708*t^37 - 403912975364337496433699136924439875/5438153721683350708*t^35 + 29060157006363246641411623582092511275/5438153721683350708*t^33 - 823659069786780831576628299759274334175/2719076860841675354*t^31 + 36962239333491148917740977311638327699175/2719076860841675354*t^29 - 1314861705480925236533682536899543812440025/2719076860841675354*t^27 + 37015312206554659157890157857317771155782125/2719076860841675354*t^25 - 820867373718282811088540804084397364562158125/2719076860841675354*t^23 + 14231886746381130226684386966465643040472598125/2719076860841675354*t^21 - 190813383347946095141762011627685471899006741875/2719076860841675354*t^19 + 1949190014635071173487511598684355121910556613125/2719076860841675354*t^17 - 29744991915823495282359067169565148206407658759375/5438153721683350708*t^15 + 165100504318667468768688034434386917696437401634375/5438153721683350708*t^13 - 643247755369075514444313568926958775090986837865625/5438153721683350708*t^11 + 1673964855774432589923536029825852534269594837178125/5438153721683350708*t^9 - 2706854373058127168786073848747260177781101491815625/5438153721683350708*t^7 + 2428415857298262175080354753347919828777311296265625/5438153721683350708*t^5 - 988267902903218679032175065684110844521710784734375/5438153721683350708*t^3 + 115087853046551290677589703739075546522965125734375/5438153721683350708*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
Positive weights:   49 out of 49
Indefinite weights: 0 out of 49
Negative weights:   0 out of 49
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (11.788814825888330156 - 4.9323920945386895003e-685j)  +/-  (2.42e-245, 2.42e-245j)
| (-12.726120416222368999 - 7.3399038567346749895e-700j)  +/-  (1.42e-246, 1.42e-246j)
| (-7.9391826409919375927 - 1.2373752804858136584e-695j)  +/-  (3.32e-243, 3.32e-243j)
| (-11.788814825888330156 + 4.4759799805218638146e-698j)  +/-  (2.2e-245, 2.2e-245j)
| (-2.1722404239755765499 - 4.2458577785041450916e-702j)  +/-  (2.85e-249, 2.85e-249j)
| (-3.5187685592097959554 + 1.9876442713961675353e-699j)  +/-  (9.75e-247, 9.75e-247j)
| (12.726120416222368999 + 7.5272656934241056956e-695j)  +/-  (1.5e-246, 1.5e-246j)
| (-9.0691650441186487949 - 1.4748212783469736187e-703j)  +/-  (2.28e-243, 2.28e-243j)
| (-8.4929291489318848666 - 1.0514259648947485206e-703j)  +/-  (3.23e-243, 3.23e-243j)
| (-7.403714036231412319 - 2.5573766974465847432e-704j)  +/-  (2.81e-243, 2.81e-243j)
| (-5.3924825991096258591 - 4.6734569073421927401e-705j)  +/-  (2.09e-244, 2.09e-244j)
| (-10.316212636015174524 - 3.4823353458820632398e-706j)  +/-  (5.14e-244, 5.14e-244j)
| (-3.0651892582413618365 + 5.0817626025121432285e-710j)  +/-  (1.8e-247, 1.8e-247j)
| (-4.9138097355545051372 + 1.0670133984772254286e-705j)  +/-  (7.17e-245, 7.17e-245j)
| (-11.011339863297780388 + 2.6906197062294706251e-706j)  +/-  (1.41e-244, 1.41e-244j)
| (-9.6738890887025311763 - 5.8143604055886158801e-705j)  +/-  (1.28e-243, 1.28e-243j)
| (-4.4424762709533129744 - 2.6066656287207040497e-706j)  +/-  (2e-245, 2e-245j)
| (-5.8794685229795078194 - 1.0458724004427857146e-704j)  +/-  (5.56e-244, 5.56e-244j)
| (-6.3759589549117523842 + 9.721756853174628233e-704j)  +/-  (1.12e-243, 1.12e-243j)
| (-6.8834258236958319441 - 3.0359813191401222909e-704j)  +/-  (2.01e-243, 2.01e-243j)
| (-0.86180393667655723451 - 4.1235813054693286999e-718j)  +/-  (1.99e-252, 1.99e-252j)
| (-1.7320508075688772935 - 7.6722509791816880563e-716j)  +/-  (3.08e-250, 3.08e-250j)
| (-1.9879070760390561471e-725 - 7.5993963675064644351e-725j)  +/-  (3.85e-723, 3.85e-723j)
| (-2.6164834957189468023 - 3.4446341678384257777e-714j)  +/-  (2.41e-248, 2.41e-248j)
| (0.86180393667655723451 + 3.6566986041815792563e-718j)  +/-  (2.06e-252, 2.06e-252j)
| (-0.43032792126942893607 - 1.2634752323892908972e-718j)  +/-  (1.71e-253, 1.71e-253j)
| (-1.2954421102606767474 - 6.0080741523583060834e-717j)  +/-  (2.65e-251, 2.65e-251j)
| (-3.9776822552607315966 - 1.1658344502780831056e-712j)  +/-  (4.89e-246, 4.89e-246j)
| (0.43032792126942893607 - 3.8212215505467314585e-723j)  +/-  (1.5e-253, 1.5e-253j)
| (10.316212636015174524 - 8.6211392860759614478e-708j)  +/-  (5.36e-244, 5.36e-244j)
| (3.5187685592097959554 + 3.2890562064733969586e-720j)  +/-  (9.89e-247, 9.89e-247j)
| (6.3759589549117523842 + 5.8939029188062566865e-731j)  +/-  (1.09e-243, 1.09e-243j)
| (11.011339863297780388 + 2.5795993112670981648e-739j)  +/-  (1.35e-244, 1.35e-244j)
| (4.9138097355545051372 - 1.5114970640654151431e-738j)  +/-  (6.75e-245, 6.75e-245j)
| (5.3924825991096258591 - 6.1963232556953442636e-746j)  +/-  (2.13e-244, 2.13e-244j)
| (6.8834258236958319441 + 2.0369796104143460171e-754j)  +/-  (2.06e-243, 2.06e-243j)
| (8.4929291489318848666 - 1.9156973969867761766e-762j)  +/-  (3.18e-243, 3.18e-243j)
| (1.7320508075688772935 - 1.1182245897482479969e-786j)  +/-  (3.03e-250, 3.03e-250j)
| (1.2954421102606767474 + 4.6664412666428495655e-787j)  +/-  (2.81e-251, 2.81e-251j)
| (9.6738890887025311763 + 6.0090277290725347695e-778j)  +/-  (1.3e-243, 1.3e-243j)
| (7.403714036231412319 + 4.4654803168945010582e-797j)  +/-  (2.96e-243, 2.96e-243j)
| (3.9776822552607315966 - 6.471715334931154676e-813j)  +/-  (5.01e-246, 5.01e-246j)
| (7.9391826409919375927 + 3.1847068596383497962e-831j)  +/-  (3.4e-243, 3.4e-243j)
| (9.0691650441186487949 - 1.5124761783649523003e-859j)  +/-  (2.27e-243, 2.27e-243j)
| (2.1722404239755765499 + 1.063095510500117969e-881j)  +/-  (2.89e-249, 2.89e-249j)
| (4.4424762709533129744 - 3.8823158263117255009e-892j)  +/-  (1.93e-245, 1.93e-245j)
| (5.8794685229795078194 + 2.6108915036072540298e-919j)  +/-  (5.23e-244, 5.23e-244j)
| (2.6164834957189468023 + 5.5089512423898502242e-936j)  +/-  (2.52e-248, 2.52e-248j)
| (3.0651892582413618365 - 1.9128764324199112189e-935j)  +/-  (1.8e-247, 1.8e-247j)
-------------------------------------------------
The weights are:
| (2.2132372821832200762e-31 + 6.5166100494597589832e-715j)  +/-  (2.52e-53, 1.26e-174j)
| (2.9320211574437980647e-36 - 1.7850501390242968231e-719j)  +/-  (3.38e-55, 1.69e-176j)
| (4.4626731323598386334e-15 + 1.2203246119941643067e-708j)  +/-  (4.04e-46, 2.01e-167j)
| (2.2132372821832200762e-31 + 5.5470824188376839498e-717j)  +/-  (7.39e-54, 3.69e-175j)
| (0.016666250976239295087 + 2.2391016460237691359e-702j)  +/-  (1.46e-22, 7.28e-144j)
| (0.00037271057772326911437 + 6.6049970917599341082e-703j)  +/-  (9.67e-32, 4.82e-153j)
| (2.9320211574437980647e-36 + 3.959923258430985314e-718j)  +/-  (1.17e-57, 5.83e-179j)
| (3.2428402773045082445e-19 + 1.0370123444854187657e-710j)  +/-  (2.93e-49, 1.46e-170j)
| (4.8924124770579582517e-17 - 1.4596126913446946865e-709j)  +/-  (5.79e-48, 2.89e-169j)
| (2.6312092576630414056e-13 - 1.1562707917192379879e-707j)  +/-  (3.28e-46, 1.63e-167j)
| (9.335700498532704045e-08 - 1.2703437353902660785e-704j)  +/-  (2.33e-42, 1.16e-163j)
| (2.0619608305762457782e-24 + 2.1010437234359606402e-713j)  +/-  (6.78e-53, 3.38e-174j)
| (0.0016404886519569703233 - 1.9058760618180923008e-702j)  +/-  (8.14e-35, 4.06e-156j)
| (1.0822763482661085209e-06 + 5.3155158812253130384e-704j)  +/-  (1.18e-41, 5.86e-163j)
| (1.3640952309094877336e-27 - 4.8610587752890898579e-715j)  +/-  (1.26e-54, 6.28e-176j)
| (1.1828086713609112982e-21 - 5.5972270200742660599e-712j)  +/-  (1.26e-51, 6.29e-173j)
| (9.6732639284265883379e-06 - 2.1134144116793387389e-703j)  +/-  (1.34e-41, 6.67e-163j)
| (6.1104290353683802053e-09 + 2.7460689423389598623e-705j)  +/-  (2.58e-45, 1.29e-166j)
| (2.9764908764286840367e-10 - 5.2247736009470443762e-706j)  +/-  (9.95e-47, 4.96e-168j)
| (1.0536717010686017395e-11 + 8.545323797857705975e-707j)  +/-  (9.97e-48, 4.97e-169j)
| (0.11899355635465422126 - 1.6524162443347525712e-701j)  +/-  (4.4e-34, 2.19e-155j)
| (0.039016751558036266561 - 5.7421774011656194817e-702j)  +/-  (2.45e-36, 1.22e-157j)
| (0.17159766605038490871 - 2.5120629803376802009e-701j)  +/-  (2.14e-34, 1.07e-155j)
| (0.0058083804443098432886 - 1.2079334256242523969e-704j)  +/-  (1.72e-39, 8.56e-161j)
| (0.11899355635465422126 - 2.3304808706251622068e-701j)  +/-  (3.8e-35, 1.9e-156j)
| (0.15663591063484413626 + 2.1756324858884358159e-701j)  +/-  (1.27e-34, 6.34e-156j)
| (0.074988712217965511189 + 1.0802420780523693785e-701j)  +/-  (1.63e-35, 8.13e-157j)
| (6.7550242913881666156e-05 + 9.3070256575193038505e-703j)  +/-  (1.26e-42, 6.29e-164j)
| (0.15663591063484413626 + 2.5657837453457635945e-701j)  +/-  (4.23e-35, 2.11e-156j)
| (2.0619608305762457782e-24 + 2.5426913918501604697e-712j)  +/-  (5.42e-68, 2.7e-189j)
| (0.00037271057772326911437 - 1.3015107253006284292e-702j)  +/-  (2.72e-53, 1.36e-174j)
| (2.9764908764286840367e-10 - 1.2265054707684489561e-705j)  +/-  (8.8e-62, 4.39e-183j)
| (1.3640952309094877336e-27 - 1.1705036568429321055e-713j)  +/-  (5.17e-69, 2.58e-190j)
| (1.0822763482661085209e-06 + 6.9786555675808888201e-704j)  +/-  (9.41e-59, 4.69e-180j)
| (9.335700498532704045e-08 - 2.0713348434113994092e-704j)  +/-  (6.02e-60, 3e-181j)
| (1.0536717010686017395e-11 + 2.4033974526055575209e-706j)  +/-  (1.65e-63, 8.24e-185j)
| (4.8924124770579582517e-17 - 6.5208088707737957668e-709j)  +/-  (3.17e-67, 1.58e-188j)
| (0.039016751558036266561 - 1.3723201818126825062e-701j)  +/-  (1.53e-52, 7.63e-174j)
| (0.074988712217965511189 + 1.8897831291540681568e-701j)  +/-  (2.39e-50, 1.19e-171j)
| (1.1828086713609112982e-21 - 4.4805284888367422442e-711j)  +/-  (4e-69, 2e-190j)
| (2.6312092576630414056e-13 - 4.0146317849424690467e-707j)  +/-  (1.12e-65, 5.58e-187j)
| (6.7550242913881666156e-05 + 5.5052088380523544084e-703j)  +/-  (4.58e-61, 2.29e-182j)
| (4.4626731323598386334e-15 + 5.6331164069545379012e-708j)  +/-  (8.92e-67, 4.45e-188j)
| (3.2428402773045082445e-19 + 6.0923917822254575911e-710j)  +/-  (9.35e-69, 4.67e-190j)
| (0.016666250976239295087 + 8.9438537536460664609e-702j)  +/-  (8.48e-60, 4.23e-181j)
| (9.6732639284265883379e-06 - 2.0788971194361357122e-703j)  +/-  (9.43e-63, 4.7e-184j)
| (6.1104290353683802053e-09 + 5.3999161590254202573e-705j)  +/-  (2.15e-64, 1.07e-185j)
| (0.0058083804443098432886 - 5.2374288653640872189e-702j)  +/-  (1.04e-61, 5.22e-183j)
| (0.0016404886519569703233 + 2.7558112324652100198e-702j)  +/-  (4.37e-62, 2.17e-183j)
