Starting with polynomial:
P : 8*t^3 - 12*t
Extension levels are: 3 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : 8*t^3 - 12*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 8*t^49 - 68478338013681585303329/14954922734629214447*t^47 + 36002012880922200430827785/29909845469258428894*t^45 - 1049744521963485120156187365/5438153721683350708*t^43 + 230136019430467929332737421385/10876307443366701416*t^41 - 36619922936539371217595349399885/21752614886733402832*t^39 + 4383946027780527250040787569039805/43505229773466805664*t^37 - 403912975364337496433699136924439875/87010459546933611328*t^35 + 29060157006363246641411623582092511275/174020919093867222656*t^33 - 823659069786780831576628299759274334175/174020919093867222656*t^31 + 36962239333491148917740977311638327699175/348041838187734445312*t^29 - 1314861705480925236533682536899543812440025/696083676375468890624*t^27 + 37015312206554659157890157857317771155782125/1392167352750937781248*t^25 - 820867373718282811088540804084397364562158125/2784334705501875562496*t^23 + 14231886746381130226684386966465643040472598125/5568669411003751124992*t^21 - 190813383347946095141762011627685471899006741875/11137338822007502249984*t^19 + 1949190014635071173487511598684355121910556613125/22274677644015004499968*t^17 - 29744991915823495282359067169565148206407658759375/89098710576060017999872*t^15 + 165100504318667468768688034434386917696437401634375/178197421152120035999744*t^13 - 643247755369075514444313568926958775090986837865625/356394842304240071999488*t^11 + 1673964855774432589923536029825852534269594837178125/712789684608480143998976*t^9 - 2706854373058127168786073848747260177781101491815625/1425579369216960287997952*t^7 + 2428415857298262175080354753347919828777311296265625/2851158738433920575995904*t^5 - 988267902903218679032175065684110844521710784734375/5702317476867841151991808*t^3 + 115087853046551290677589703739075546522965125734375/11404634953735682303983616*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: 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:
| (6.8404725750681103474 - 1.0526113373706680386e-861j)  +/-  (8.84e-244, 8.84e-244j)
| (-6.0054077933466296039 - 2.0976334858763815287e-869j)  +/-  (2.19e-243, 2.19e-243j)
| (-8.9987260445074057817 + 1.3197087107899403746e-872j)  +/-  (1.07e-246, 1.07e-246j)
| (-8.3359509055381468236 + 2.1044875044777509431e-872j)  +/-  (1.49e-245, 1.49e-245j)
| (8.9987260445074057817 - 3.0334211854852850796e-872j)  +/-  (1e-246, 1e-246j)
| (-6.4128681023962910188 + 1.7144646712819077143e-870j)  +/-  (1.51e-243, 1.51e-243j)
| (-4.1574120623716646009 + 5.0485287075257601786e-870j)  +/-  (3.54e-244, 3.54e-244j)
| (8.3359509055381468236 + 9.0204880147320201097e-871j)  +/-  (1.48e-245, 1.48e-245j)
| (-3.1413050964514138892 + 5.0125779204532727275e-871j)  +/-  (1.4e-245, 1.4e-245j)
| (4.5084838135851927262 + 2.5652293472444086559e-868j)  +/-  (7.81e-244, 7.81e-244j)
| (1.5360059341606712303 - 3.4036573328062585169e-884j)  +/-  (2.1e-249, 2.1e-249j)
| (-1.5360059341606712303 - 4.4450612657731450977e-884j)  +/-  (2.19e-249, 2.19e-249j)
| (7.7861930872876117267 - 6.9517748274609630499e-877j)  +/-  (9.97e-245, 9.97e-245j)
| (-5.6138498825239225056 - 1.1004093285007328993e-883j)  +/-  (2.23e-243, 2.23e-243j)
| (6.0054077933466296039 - 3.744980571956964146e-888j)  +/-  (2.19e-243, 2.19e-243j)
| (-4.8673170777299192959 - 1.8270983404662163354e-898j)  +/-  (1.36e-243, 1.36e-243j)
| (3.1413050964514138892 - 1.0625834068776577692e-898j)  +/-  (1.43e-245, 1.43e-245j)
| (3.4745881854710664191 - 2.2008058760372985495e-900j)  +/-  (4.69e-245, 4.69e-245j)
| (-7.7861930872876117267 - 1.1785257274279569978e-911j)  +/-  (9.78e-245, 9.78e-245j)
| (-5.2352164009852558608 + 2.6279382606905501604e-910j)  +/-  (1.92e-243, 1.92e-243j)
| (5.2352164009852558608 + 3.3092923697961896993e-915j)  +/-  (1.94e-243, 1.94e-243j)
| (-7.294663911088678653 - 8.8451425470632875957e-934j)  +/-  (3.25e-244, 3.25e-244j)
| (-4.5084838135851927262 - 1.5024724666014155152e-933j)  +/-  (7.46e-244, 7.46e-244j)
| (-2.4881451096432642853 - 2.5792174717458973109e-942j)  +/-  (7.46e-247, 7.46e-247j)
| (-2.8126460961002630125 - 8.1382675337788084407e-940j)  +/-  (3.49e-246, 3.49e-246j)
| (-2.1674161101226305572 - 1.3523649475312210796e-942j)  +/-  (1.21e-247, 1.21e-247j)
| (5.6138498825239225056 - 5.4414959891965189488e-939j)  +/-  (2.46e-243, 2.46e-243j)
| (6.4128681023962910188 + 2.3864562425371110669e-952j)  +/-  (1.69e-243, 1.69e-243j)
| (-6.8404725750681103474 + 1.084442053162436055e-961j)  +/-  (8.23e-244, 8.23e-244j)
| (-0.60938740767725561516 + 6.7397552248117286375e-970j)  +/-  (1.32e-252, 1.32e-252j)
| (7.294663911088678653 + 1.6351933850414293035e-961j)  +/-  (3.45e-244, 3.45e-244j)
| (3.8130610132608752866 - 4.001541046918139472e-964j)  +/-  (1.42e-244, 1.42e-244j)
| (1.2247448713915890491 - 8.734058228738710935e-973j)  +/-  (2.22e-250, 2.22e-250j)
| (4.8673170777299192959 - 2.020479867620376756e-967j)  +/-  (1.3e-243, 1.3e-243j)
| (-3.4745881854710664191 + 3.0591413715147364679e-975j)  +/-  (4.66e-245, 4.66e-245j)
| (-1.8501332226855502728 + 1.1575805679992608837e-979j)  +/-  (2.05e-248, 2.05e-248j)
| (-1.2247448713915890491 + 7.0688896510776657545e-982j)  +/-  (2.21e-250, 2.21e-250j)
| (0.60938740767725561516 + 8.7224505164495228619e-988j)  +/-  (1.47e-252, 1.47e-252j)
| (2.4881451096432642853 + 1.3788106722991382438e-979j)  +/-  (7.29e-247, 7.29e-247j)
| (0.91601590079993572442 - 9.7611585660947194316e-985j)  +/-  (1.89e-251, 1.89e-251j)
| (-0.91601590079993572442 - 1.6197897993742509597e-983j)  +/-  (1.71e-251, 1.71e-251j)
| (2.8126460961002630125 + 1.6334455626185782655e-979j)  +/-  (3.59e-246, 3.59e-246j)
| (-3.8130610132608752866 - 8.8629759894767761067e-979j)  +/-  (1.44e-244, 1.44e-244j)
| (1.8501332226855502728 - 1.5827794924979926243e-982j)  +/-  (2e-248, 2e-248j)
| (4.1574120623716646009 + 1.0805773199891834527e-985j)  +/-  (3.44e-244, 3.44e-244j)
| (-0.30428779126352393708 + 9.1109166319773590894e-1000j)  +/-  (1.04e-253, 1.04e-253j)
| (-2.9538091190895000563e-1013 - 4.6580636531296325069e-1013j)  +/-  (2.7e-1011, 2.7e-1011j)
| (2.1674161101226305572 - 1.8254108085906497844e-996j)  +/-  (1.28e-247, 1.28e-247j)
| (0.30428779126352393708 + 3.5278111382652054918e-1002j)  +/-  (1.04e-253, 1.04e-253j)
-------------------------------------------------
The weights are:
| (1.1828086713609112982e-21 + 8.72945262739435345e-882j)  +/-  (2.71e-78, 7.88e-199j)
| (4.8924124770579582517e-17 + 1.8655429095966663927e-881j)  +/-  (6.43e-76, 1.87e-196j)
| (2.9320211574437980647e-36 + 2.6137753784097092995e-891j)  +/-  (1.19e-84, 3.44e-205j)
| (2.2132372821832200762e-31 - 8.0242276081417058218e-889j)  +/-  (4.87e-83, 1.42e-203j)
| (2.9320211574437980647e-36 - 2.1293171340692079529e-890j)  +/-  (2.06e-86, 5.99e-207j)
| (3.2428402773045082445e-19 - 1.3941791396798653811e-882j)  +/-  (4.08e-78, 1.18e-198j)
| (6.1104290353683802053e-09 - 1.1915856731082136765e-877j)  +/-  (2.77e-71, 8.06e-192j)
| (2.2132372821832200762e-31 + 9.152818374467922485e-888j)  +/-  (5.11e-85, 1.48e-205j)
| (9.6732639284265883379e-06 + 3.3612218748816357626e-875j)  +/-  (1.72e-67, 4.98e-188j)
| (2.9764908764286840367e-10 + 2.7938343727842421437e-878j)  +/-  (2.43e-75, 7.05e-196j)
| (0.016666250976239295087 - 2.0567389731237500042e-873j)  +/-  (1.22e-57, 3.53e-178j)
| (0.016666250976239295087 - 1.4699559681489731604e-873j)  +/-  (2.08e-57, 6.03e-178j)
| (1.3640952309094877336e-27 - 1.2226776379040211572e-885j)  +/-  (6.17e-84, 1.79e-204j)
| (4.4626731323598386334e-15 - 1.9454004875422445766e-880j)  +/-  (2.74e-77, 7.94e-198j)
| (4.8924124770579582517e-17 + 3.5747189155201127062e-880j)  +/-  (2.75e-80, 7.99e-201j)
| (1.0536717010686017395e-11 - 1.1558317684723099167e-878j)  +/-  (1.49e-75, 4.34e-196j)
| (9.6732639284265883379e-06 + 4.4527954755653516747e-875j)  +/-  (1.93e-71, 5.62e-192j)
| (1.0822763482661085209e-06 - 1.4313799582895238741e-875j)  +/-  (8.26e-73, 2.4e-193j)
| (1.3640952309094877336e-27 + 6.9404996461616161237e-887j)  +/-  (8.7e-85, 2.53e-205j)
| (2.6312092576630414056e-13 + 1.6389009751537285932e-879j)  +/-  (1.88e-77, 5.46e-198j)
| (2.6312092576630414056e-13 + 1.7450036294931714672e-878j)  +/-  (1.48e-80, 4.29e-201j)
| (2.0619608305762457782e-24 - 2.9546209754400496411e-885j)  +/-  (1.08e-83, 3.12e-204j)
| (2.9764908764286840367e-10 + 7.358343432275427872e-878j)  +/-  (4.26e-76, 1.24e-196j)
| (0.00037271057772326911437 + 1.9088419886294722612e-874j)  +/-  (7.36e-72, 2.14e-192j)
| (6.7550242913881666156e-05 - 9.3898599552507058901e-875j)  +/-  (7.4e-73, 2.15e-193j)
| (0.0016404886519569703233 - 4.0476598718300918598e-874j)  +/-  (4e-71, 1.16e-191j)
| (4.4626731323598386334e-15 - 2.5782556246382572383e-879j)  +/-  (2.18e-83, 6.34e-204j)
| (3.2428402773045082445e-19 - 5.2118103824627265891e-881j)  +/-  (1.57e-85, 4.55e-206j)
| (1.1828086713609112982e-21 + 7.7243444067993347873e-884j)  +/-  (8.77e-85, 2.55e-205j)
| (0.11899355635465422126 + 4.93516701146949713e-873j)  +/-  (1.15e-72, 3.35e-193j)
| (2.0619608305762457782e-24 + 1.0635123351912067965e-883j)  +/-  (5.23e-88, 1.52e-208j)
| (9.335700498532704045e-08 + 3.7984587842648137191e-876j)  +/-  (4.37e-81, 1.27e-201j)
| (0.039016751558036266561 + 3.2031665762509728625e-873j)  +/-  (2.93e-74, 8.57e-195j)
| (1.0536717010686017395e-11 - 1.180910704171754912e-877j)  +/-  (8.83e-83, 2.58e-203j)
| (1.0822763482661085209e-06 - 4.616560362303071145e-877j)  +/-  (2.45e-79, 7.19e-200j)
| (0.0058083804443098432886 + 8.0583032782909665891e-874j)  +/-  (2.73e-76, 8.02e-197j)
| (0.039016751558036266561 + 2.4358046138528839619e-873j)  +/-  (1.44e-75, 4.26e-196j)
| (0.11899355635465422126 + 5.6724394350994491565e-873j)  +/-  (1.57e-75, 4.64e-196j)
| (0.00037271057772326911437 + 2.8901733531048452788e-874j)  +/-  (6.25e-80, 1.84e-200j)
| (0.074988712217965511189 - 4.4932529829010246959e-873j)  +/-  (3.9e-76, 1.14e-196j)
| (0.074988712217965511189 - 3.6508666599074561986e-873j)  +/-  (6.36e-76, 1.86e-196j)
| (6.7550242913881666156e-05 - 1.2054096141998197072e-874j)  +/-  (2.52e-80, 7.36e-201j)
| (9.335700498532704045e-08 + 5.2020379461206665373e-877j)  +/-  (1e-80, 2.92e-201j)
| (0.0058083804443098432886 + 1.189506672218600547e-873j)  +/-  (2.35e-79, 6.88e-200j)
| (6.1104290353683802053e-09 - 5.7168205849755309238e-877j)  +/-  (1.35e-82, 3.7e-203j)
| (0.15663591063484413626 - 6.0031547554462520323e-873j)  +/-  (4.1e-78, 1.08e-198j)
| (0.17159766605038490871 + 6.5606228082134924054e-873j)  +/-  (1.71e-78, 4.56e-199j)
| (0.0016404886519569703233 - 6.1895181350552941039e-874j)  +/-  (3.21e-80, 1.06e-200j)
| (0.15663591063484413626 - 6.4372933378128844112e-873j)  +/-  (1.09e-78, 2.7e-199j)
