Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 33
-------------------------------------------------
Trying to find an order 33 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 1513580741956537679/2646128196800447*t^33 + 383516814599637679752/2646128196800447*t^31 - 1837241566613747061240/85358974090337*t^29 + 178325254613274530957580/85358974090337*t^27 - 11945968413110812210990860/85358974090337*t^25 + 568675197618487617437980200/85358974090337*t^23 - 19519021367014708564940514600/85358974090337*t^21 + 485218028027732072615093301750/85358974090337*t^19 - 8703173158255232862609463809750/85358974090337*t^17 + 6549763027186845076425723909000/5021116122961*t^15 - 58580335492345264144564278261000/5021116122961*t^13 + 355161337213668273455648656675500/5021116122961*t^11 - 1394252088845390626803047904307500/5021116122961*t^9 + 3306596194924299149700376363815000/5021116122961*t^7 - 4239161825944631362670081363175000/5021116122961*t^5 + 2405680611872027447349772385630625/5021116122961*t^3 - 381509132210940051711307750460625/5021116122961*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:
| (2.0241383747204904197 + 2.0703701513857575997e-648j)  +/-  (1.51e-250, 1.51e-250j)
| (10.473468520657207702 - 9.0179249537900083004e-644j)  +/-  (9.98e-249, 9.98e-249j)
| (8.6448818541885740217 + 5.4684600347378923124e-643j)  +/-  (4.08e-247, 4.08e-247j)
| (9.4756064396633492909 + 8.4108522994239872683e-647j)  +/-  (8.91e-248, 8.91e-248j)
| (5.9327534770570700198 - 3.9793779046759561799e-650j)  +/-  (9.51e-247, 9.51e-247j)
| (3.0824909876064958203 - 1.4102693914862304683e-660j)  +/-  (5.54e-249, 5.54e-249j)
| (4.748901490836214126 - 6.7770983330065831118e-664j)  +/-  (2.41e-247, 2.41e-247j)
| (-8.6448818541885740217 - 1.9156639058402879334e-694j)  +/-  (3.88e-247, 3.88e-247j)
| (-9.4756064396633492909 - 1.3755240663299531991e-729j)  +/-  (9.23e-248, 9.23e-248j)
| (5.3317168802005076616 + 5.5410301085502951891e-743j)  +/-  (5.06e-247, 5.06e-247j)
| (-7.8996500581104773241 - 6.4234832139661711773e-748j)  +/-  (7.47e-247, 7.47e-247j)
| (-2.0241383747204904197 - 5.6669358557707774401e-760j)  +/-  (1.34e-250, 1.34e-250j)
| (-10.473468520657207702 - 1.7960745590379912488e-756j)  +/-  (1.01e-248, 1.01e-248j)
| (-4.1811770885061994283 - 3.9518629862910221921e-757j)  +/-  (8.41e-248, 8.41e-248j)
| (-4.748901490836214126 - 1.3684363310688914894e-765j)  +/-  (2.37e-247, 2.37e-247j)
| (1.5081592239845861418 - 4.5721529340723166387e-780j)  +/-  (1.45e-251, 1.45e-251j)
| (6.5563620202885029037 + 2.8634399247211919524e-774j)  +/-  (1.04e-246, 1.04e-246j)
| (-6.5563620202885029037 + 1.3715700918367550831e-787j)  +/-  (1.19e-246, 1.19e-246j)
| (-3.0824909876064958203 - 4.1997186683199842178e-800j)  +/-  (5.25e-249, 5.25e-249j)
| (-3.6262585323593205967 - 2.0343864151754621402e-799j)  +/-  (2.53e-248, 2.53e-248j)
| (3.6262585323593205967 + 4.740279650189808412e-804j)  +/-  (2.68e-248, 2.68e-248j)
| (4.1811770885061994283 - 1.5324689686693923389e-804j)  +/-  (9.42e-248, 9.42e-248j)
| (7.8996500581104773241 + 2.4868217947195834113e-802j)  +/-  (7.94e-247, 7.94e-247j)
| (2.5487138165128564834 - 4.5241045279716755677e-814j)  +/-  (9.87e-250, 9.87e-250j)
| (-1.5081592239845861418 - 6.776605656788479178e-816j)  +/-  (1.77e-251, 1.77e-251j)
| (-4.3904771871713054676e-824 - 7.8697709523787791515e-825j)  +/-  (1.56e-822, 1.56e-822j)
| (-5.9327534770570700198 + 1.552948946814717329e-815j)  +/-  (8.98e-247, 8.98e-247j)
| (7.2088069000037284863 + 3.265092830436280677e-834j)  +/-  (1e-246, 1e-246j)
| (-5.3317168802005076616 - 1.7073826998485414329e-847j)  +/-  (5.31e-247, 5.31e-247j)
| (-1 - 2.9114272547483078146e-865j)  +/-  (1.39e-252, 1.39e-252j)
| (-2.5487138165128564834 - 1.2909496216631757139e-866j)  +/-  (9.49e-250, 9.49e-250j)
| (-7.2088069000037284863 + 5.4609716360039986949e-883j)  +/-  (1.13e-246, 1.13e-246j)
| (0.49816981090356105601 - 2.7612356233969273076e-899j)  +/-  (9.87e-254, 9.87e-254j)
| (1 + 1.9531771970921996641e-898j)  +/-  (1.46e-252, 1.46e-252j)
| (-0.49816981090356105601 + 2.4524267645137646609e-899j)  +/-  (9.87e-254, 9.87e-254j)
-------------------------------------------------
The weights are:
| (0.026753455170325584269 - 6.7293243497014834582e-650j)  +/-  (1.16e-61, 3.43e-186j)
| (6.9467308652213281817e-25 - 8.8571800551718566905e-663j)  +/-  (3.05e-86, 9.02e-211j)
| (1.8412315737409142243e-17 - 1.2133045604874267719e-658j)  +/-  (7.92e-84, 2.34e-208j)
| (1.1332482368756187745e-20 + 1.2763364320504997296e-660j)  +/-  (5.9e-85, 1.74e-209j)
| (5.5492004806203584423e-09 - 3.2530648479139619772e-654j)  +/-  (1.01e-79, 2.98e-204j)
| (0.001857415642696232977 + 1.1119548312596399742e-650j)  +/-  (5.02e-72, 1.48e-196j)
| (2.9062234124376923897e-06 - 1.2664653656553500633e-652j)  +/-  (3.27e-77, 9.66e-202j)
| (1.8412315737409142243e-17 + 4.7030180074853726447e-659j)  +/-  (9.29e-89, 2.75e-213j)
| (1.1332482368756187745e-20 - 9.9318812811891439323e-661j)  +/-  (3.19e-90, 9.41e-215j)
| (1.5843191329617477942e-07 + 2.2294553844204724444e-653j)  +/-  (3.06e-80, 9.03e-205j)
| (8.0166846037457118258e-15 - 1.1469142886934876101e-657j)  +/-  (3.5e-88, 1.03e-212j)
| (0.026753455170325584269 - 1.3579478054980906178e-650j)  +/-  (1.58e-74, 4.68e-199j)
| (6.9467308652213281817e-25 + 6.5065467204418496663e-663j)  +/-  (3.57e-92, 1.06e-216j)
| (3.5780895978410810971e-05 - 2.1040857779389649931e-652j)  +/-  (1.01e-82, 2.99e-207j)
| (2.9062234124376923897e-06 + 4.975161482273314144e-653j)  +/-  (4.34e-84, 1.28e-208j)
| (0.065491449848568403106 + 1.8581739206504900753e-649j)  +/-  (3.37e-74, 9.94e-199j)
| (1.1765970001414842187e-10 + 3.7982634800331212767e-655j)  +/-  (3.21e-86, 9.48e-211j)
| (1.1765970001414842187e-10 - 1.9017758618976258465e-655j)  +/-  (1.49e-87, 4.39e-212j)
| (0.001857415642696232977 - 2.2760990308634676531e-651j)  +/-  (2.22e-81, 6.57e-206j)
| (0.00030558994844210035513 + 7.4910103916892321108e-652j)  +/-  (2.64e-82, 7.81e-207j)
| (0.00030558994844210035513 - 2.683091418992118495e-651j)  +/-  (1.69e-82, 4.99e-207j)
| (3.5780895978410810971e-05 + 6.1699229179212671671e-652j)  +/-  (1.92e-83, 5.67e-208j)
| (8.0166846037457118258e-15 + 2.2668955864314276828e-657j)  +/-  (3.42e-90, 1.01e-214j)
| (0.0082006078275003587507 - 5.2504241540499111223e-650j)  +/-  (1.83e-81, 5.41e-206j)
| (0.065491449848568403106 + 2.6994897750503160188e-650j)  +/-  (2.21e-81, 6.53e-206j)
| (0.19848107215932626427 - 9.7132817888349501177e-650j)  +/-  (9.53e-81, 2.81e-205j)
| (5.5492004806203584423e-09 + 1.5371395588985015145e-654j)  +/-  (7.07e-89, 2.09e-213j)
| (1.3877147128812617866e-12 - 3.4039074347908427519e-656j)  +/-  (2.25e-89, 6.64e-214j)
| (1.5843191329617477942e-07 - 9.7287927687162695105e-654j)  +/-  (4.56e-88, 1.35e-212j)
| (0.12211222575893706316 - 4.698367681057416907e-650j)  +/-  (1.53e-83, 4.52e-208j)
| (0.0082006078275003587507 + 5.9641646099930603382e-651j)  +/-  (4.81e-85, 1.43e-209j)
| (1.3877147128812617866e-12 + 1.7630956142709847427e-656j)  +/-  (6.16e-91, 1.82e-215j)
| (0.17599986850430705011 + 1.1889554458701318357e-649j)  +/-  (2.14e-84, 6.42e-209j)
| (0.12211222575893706316 - 1.3923261520190946067e-649j)  +/-  (1.03e-84, 3.17e-209j)
| (0.17599986850430705011 + 7.1803902164212505341e-650j)  +/-  (1.76e-84, 4.88e-209j)
