Starting with polynomial:
P : 2*t
Extension levels are: 1 18 30
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P2 : 2*t^19 - 171*t^17 + 5814*t^15 - 101745*t^13 + 3968055/4*t^11 - 43648605/8*t^9 + 130945815/8*t^7 - 392837445/16*t^5 + 1964187225/128*t^3 - 654729075/256*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^49 - 508459003846665173892104821/562980976816838068369236*t^47 + 69695552024580368636390261071/375320651211225378912824*t^45 - 17333777911146372095497259221905/750641302422450757825648*t^43 + 2921338812712812373173068612774085/1501282604844901515651296*t^41 - 354299326896519962998804385259209145/3002565209689803031302592*t^39 + 32053393033560936285970936945445405145/6005130419379606062605184*t^37 - 2213098628452328152227449811537700041735/12010260838759212125210368*t^35 + 118338964378920344093874896173154920748775/24020521677518424250420736*t^33 - 2472796073862628820131845286664086491076275/24020521677518424250420736*t^31 + 81171330628738038070311843216197571242440875/48041043355036848500841472*t^29 - 2096212521352263366090217845806908686176383125/96082086710073697001682944*t^27 + 42528966930388751954348839757923343588659241625/192164173420147394003365888*t^25 - 675003892812558233053993602422642092880085965625/384328346840294788006731776*t^23 + 8320796282758524668084000659739644470724689515625/768656693680589576013463552*t^21 - 78829654490879828887331583996501530071796615844375/1537313387361179152026927104*t^19 + 565723897069750439673616934125123462452633613063125/3074626774722358304053854208*t^17 - 6032796822735906101345444413298188491227818512631875/12298507098889433216215416832*t^15 + 23286373255888186972291480184551526799518068928896875/24597014197778866432430833664*t^13 - 62825941893167911091688074162240345502106624050403125/49194028395557732864861667328*t^11 + 112894443073755215381471118467630892035025589767365625/98388056791115465729723334656*t^9 - 126398107944766690649487755279149848005104169906053125/196776113582230931459446669312*t^7 + 80686630332735052049702791722601015468930119162253125/393552227164461862918893338624*t^5 - 26254929916610514408525411021666467971748712459046875/787104454328923725837786677248*t^3 + 3340577900007093776974752838525229360961985948171875/1574208908657847451675573354496*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:
| (-7.7229129812517702759 - 2.1082878246753977013e-941j)  +/-  (1.43e-246, 1.43e-246j)
| (-6.585806528783740613 + 3.5300723904373910154e-940j)  +/-  (3.34e-245, 3.34e-245j)
| (7.7229129812517702759 + 3.6359762156130269288e-941j)  +/-  (1.51e-246, 1.51e-246j)
| (-6.1011343244783635567 - 1.2893858358909613098e-939j)  +/-  (8.27e-245, 8.27e-245j)
| (6.1011343244783635567 - 9.482028838938447237e-938j)  +/-  (8.3e-245, 8.3e-245j)
| (-3.7621873519640200975 + 4.4184226661452432043e-947j)  +/-  (1.67e-244, 1.67e-244j)
| (5.2202716905374821646 - 2.9723317118118245565e-947j)  +/-  (2.03e-244, 2.03e-244j)
| (8.5152185707263168564 - 6.6631571717815197105e-961j)  +/-  (1.02e-247, 1.02e-247j)
| (-5.6483791684200318443 + 5.2028089324658013878e-957j)  +/-  (1.5e-244, 1.5e-244j)
| (2.8400437250077184488 + 6.8536988394100463345e-958j)  +/-  (1.89e-245, 1.89e-245j)
| (2.5911337897945425649 - 8.6944454712076010021e-963j)  +/-  (7.81e-246, 7.81e-246j)
| (-4.0735377425293318448 + 8.5538649243369195185e-963j)  +/-  (2.18e-244, 2.18e-244j)
| (-3.1578488183476022818 + 3.549145376375581152e-964j)  +/-  (3.84e-245, 3.84e-245j)
| (-8.5152185707263168564 + 1.9050786749808552896e-966j)  +/-  (9.39e-248, 9.39e-248j)
| (4.8134289114966870406 - 6.5745436308788944456e-962j)  +/-  (2.49e-244, 2.49e-244j)
| (-7.1162402846185555001 + 1.0639832715793177647e-972j)  +/-  (8.49e-246, 8.49e-246j)
| (2.0492317098506193758 - 5.2589639257578122764e-974j)  +/-  (2.78e-247, 2.78e-247j)
| (5.6483791684200318443 + 4.6579735573602529603e-971j)  +/-  (1.55e-244, 1.55e-244j)
| (-1.5241706193935330318 + 2.2682890760426699629e-987j)  +/-  (2.68e-248, 2.68e-248j)
| (6.585806528783740613 - 8.9228519593673842784e-983j)  +/-  (3.1e-245, 3.1e-245j)
| (1.3734518742113196937 + 1.7884273758273668063e-994j)  +/-  (5.59e-249, 5.59e-249j)
| (2.3653208339284889214 - 2.4944911120564630424e-991j)  +/-  (2.06e-246, 2.06e-246j)
| (-3.4715102018162649262 + 5.3515629998172553422e-992j)  +/-  (9.5e-245, 9.5e-245j)
| (-2.0492317098506193758 + 6.5177259952441905189e-997j)  +/-  (2.77e-247, 2.77e-247j)
| (-2.5911337897945425649 - 5.6549047777343032505e-995j)  +/-  (7.45e-246, 7.45e-246j)
| (-1.3734518742113196937 - 1.6529704946563696147e-1004j)  +/-  (5.37e-249, 5.37e-249j)
| (4.6786537820640537213e-1009 - 8.7959527648782460119e-1008j)  +/-  (4.32e-1006, 4.32e-1006j)
| (0.58413989567816371904 - 9.5944375066103041069e-1008j)  +/-  (1.46e-251, 1.46e-251j)
| (4.4285328066037794372 - 2.3226299550901987792e-1000j)  +/-  (2.37e-244, 2.37e-244j)
| (-1.0103683871343113514 + 9.0010582336196670827e-1015j)  +/-  (1.01e-250, 1.01e-250j)
| (-2.3653208339284889214 - 2.6784068869278597443e-1010j)  +/-  (2.08e-246, 2.08e-246j)
| (1.0103683871343113514 + 2.8223245866988383847e-1015j)  +/-  (1.04e-250, 1.04e-250j)
| (1.5241706193935330318 - 2.5816251174921644042e-1013j)  +/-  (2.71e-248, 2.71e-248j)
| (-5.2202716905374821646 - 6.7948875496309527696e-1008j)  +/-  (1.93e-244, 1.93e-244j)
| (-2.8400437250077184488 - 3.5761693098693266158e-1016j)  +/-  (1.64e-245, 1.64e-245j)
| (-4.8134289114966870406 - 1.6699391375417798335e-1015j)  +/-  (2.38e-244, 2.38e-244j)
| (1.7005862646769296532 - 7.6539576553784276585e-1022j)  +/-  (6.2e-248, 6.2e-248j)
| (3.7621873519640200975 + 2.1520716525411166045e-1023j)  +/-  (1.77e-244, 1.77e-244j)
| (3.1578488183476022818 - 3.0617449921270310547e-1039j)  +/-  (4.03e-245, 4.03e-245j)
| (4.0735377425293318448 - 2.7953108764590893749e-1047j)  +/-  (2.11e-244, 2.11e-244j)
| (-0.50352016342388820937 + 1.2809633607397318155e-1063j)  +/-  (1.24e-251, 1.24e-251j)
| (-4.4285328066037794372 - 1.0906800038005383638e-1057j)  +/-  (2.29e-244, 2.29e-244j)
| (0.50352016342388820937 + 5.9233549304254216807e-1064j)  +/-  (1.17e-251, 1.17e-251j)
| (3.4715102018162649262 + 1.6992126718636277802e-1062j)  +/-  (9.16e-245, 9.16e-245j)
| (7.1162402846185555001 - 3.6182461258573337675e-1068j)  +/-  (8.46e-246, 8.46e-246j)
| (-0.58413989567816371904 + 2.2690063316989846151e-1072j)  +/-  (1.34e-251, 1.34e-251j)
| (-1.7005862646769296532 + 3.8896780449679632393e-1071j)  +/-  (5.97e-248, 5.97e-248j)
| (-0.43471940502734765487 - 4.744279697022008062e-1075j)  +/-  (3.39e-252, 3.39e-252j)
| (0.43471940502734765487 - 1.7976474946442257482e-1076j)  +/-  (3.2e-252, 3.2e-252j)
-------------------------------------------------
The weights are:
| (4.6955646863036004033e-27 - 3.5835318099820751035e-961j)  +/-  (1.28e-89, 8.33e-212j)
| (4.1459975074259235404e-20 - 4.4476578193441443512e-957j)  +/-  (1.88e-86, 1.22e-208j)
| (4.6955646863036004033e-27 + 2.7315818132057800762e-960j)  +/-  (1.64e-91, 1.07e-213j)
| (1.7977577723461241233e-17 - 3.6394239928240371774e-956j)  +/-  (2.71e-85, 1.76e-207j)
| (1.7977577723461241233e-17 + 1.2859073749009940937e-953j)  +/-  (3.94e-87, 2.56e-209j)
| (1.1718415245563217178e-07 + 2.4198877215509415794e-948j)  +/-  (7.19e-78, 4.68e-200j)
| (3.4411937484127745124e-13 + 1.1599224018554724864e-951j)  +/-  (1.7e-84, 1.11e-206j)
| (1.8758444440999345599e-32 - 2.3700419563594171614e-963j)  +/-  (6.22e-94, 4.05e-216j)
| (3.4566016779826791884e-15 - 2.6077966703076360201e-954j)  +/-  (5.78e-85, 3.76e-207j)
| (5.3195607535031954827e-05 - 1.3272606955951330882e-945j)  +/-  (7.02e-75, 4.57e-197j)
| (0.00013634601422903288498 + 4.7603538915021643194e-945j)  +/-  (2.1e-73, 1.37e-195j)
| (1.1738404735057004172e-08 - 2.9189990298542402309e-949j)  +/-  (1.2e-80, 7.79e-203j)
| (8.5139248591253944422e-06 + 7.3574603572742760872e-947j)  +/-  (2.38e-77, 1.55e-199j)
| (1.8758444440999345599e-32 + 4.2371357104638176875e-964j)  +/-  (5.75e-95, 3.74e-217j)
| (1.9380816743285923021e-11 - 1.3905039766728232156e-950j)  +/-  (2.34e-85, 1.52e-207j)
| (3.2161437729780967179e-23 + 5.7944354751136566715e-959j)  +/-  (1.85e-90, 1.2e-212j)
| (0.0028554766901107885701 + 2.1000834462086747943e-944j)  +/-  (8.86e-74, 5.76e-196j)
| (3.4566016779826791884e-15 - 1.0522348640934306779e-952j)  +/-  (7.18e-88, 4.67e-210j)
| (-0.0032733847804724905886 + 1.7277983025841957804e-943j)  +/-  (3.72e-72, 2.42e-194j)
| (4.1459975074259235404e-20 + 8.8121299079830454751e-956j)  +/-  (4.5e-91, 2.93e-213j)
| (0.032474800675413235743 - 2.7441234521992615996e-943j)  +/-  (3.52e-71, 2.29e-193j)
| (0.00058796035484913066645 - 9.5142586392843872468e-945j)  +/-  (3.39e-76, 2.2e-198j)
| (9.8744802388180225207e-07 - 1.3497718269167292164e-947j)  +/-  (1.57e-81, 1.02e-203j)
| (0.0028554766901107885701 + 1.0219163777090508077e-944j)  +/-  (4.26e-77, 2.77e-199j)
| (0.00013634601422903288498 + 1.8665959771908609946e-945j)  +/-  (1.3e-79, 8.45e-202j)
| (0.032474800675413235743 - 1.7125712212761988323e-943j)  +/-  (3.19e-74, 2.08e-196j)
| (0.2110923807769478815 + 3.8908512586260181749e-943j)  +/-  (2.33e-73, 1.52e-195j)
| (0.47750744981261855926 - 2.9345181243922040991e-942j)  +/-  (1.46e-73, 9.52e-196j)
| (6.3796138596894381734e-10 + 1.5864845822552481803e-949j)  +/-  (2.17e-87, 1.41e-209j)
| (0.073928005894633200497 + 1.5056226492875671891e-943j)  +/-  (2.25e-74, 1.46e-196j)
| (0.00058796035484913066645 - 4.0910284532863010902e-945j)  +/-  (7.05e-79, 4.59e-201j)
| (0.073928005894633200497 + 2.123577113258935594e-943j)  +/-  (3.46e-74, 2.25e-196j)
| (-0.0032733847804724905886 + 2.9222013480840421031e-943j)  +/-  (2.49e-76, 1.62e-198j)
| (3.4411937484127745124e-13 + 7.4298799723038099958e-953j)  +/-  (3.54e-89, 2.31e-211j)
| (5.3195607535031954827e-05 - 4.6802115828882388933e-946j)  +/-  (2.28e-81, 1.49e-203j)
| (1.9380816743285923021e-11 - 1.4503555426579112221e-951j)  +/-  (3.13e-88, 2.04e-210j)
| (0.011498271565414405442 - 1.1640777934354191733e-943j)  +/-  (1.2e-79, 7.83e-202j)
| (1.1718415245563217178e-07 + 1.0803247035807572099e-947j)  +/-  (6.51e-88, 4.23e-210j)
| (8.5139248591253944422e-06 + 2.409562592863934781e-946j)  +/-  (4.55e-86, 2.96e-208j)
| (1.1738404735057004172e-08 - 1.5700422544069585502e-948j)  +/-  (5.01e-89, 3.26e-211j)
| (-0.83637329451331174778 + 5.3522503075728221757e-942j)  +/-  (2.22e-82, 1.44e-204j)
| (6.3796138596894381734e-10 + 2.3052168998781469342e-950j)  +/-  (1.05e-89, 6.85e-212j)
| (-0.83637329451331174778 + 6.3448190552588254123e-942j)  +/-  (1.37e-81, 8.82e-204j)
| (9.8744802388180225207e-07 - 5.1553906520261958186e-947j)  +/-  (2.09e-87, 1.36e-209j)
| (3.2161437729780967179e-23 - 6.3704584163665985068e-958j)  +/-  (4.22e-99, 2.75e-221j)
| (0.47750744981261855926 - 2.4085337607302464408e-942j)  +/-  (5.89e-83, 3.84e-205j)
| (0.011498271565414405442 - 6.4547611075196674348e-944j)  +/-  (1.29e-84, 8.47e-207j)
| (0.63504935133737691801 - 3.2283422808952967599e-942j)  +/-  (6.85e-83, 4.48e-205j)
| (0.63504935133737691801 - 3.7387627933083044564e-942j)  +/-  (4.99e-83, 2.8e-205j)
