Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 33
-------------------------------------------------
Trying to find an order 33 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^35 - 2309140361065/179257449842*t^33 + 58882849375020/1165173423973*t^31 - 31557996232180/263103676381*t^29 + 1322543478970010/6878281825389*t^27 - 2290165419312342/10405605838409*t^25 + 1929607523226900/10405605838409*t^23 - 23102292320873700/197706510929771*t^21 + 580441481108252775/10478445079277863*t^19 - 184263140177325/9347408634503*t^17 + 140921092394370420/27023358362348173*t^15 - 3447412721538300/3423444320836561*t^13 + 25026534359773050/181442549004337733*t^11 - 100105115452187450/7802029607186522519*t^9 + 242559615554378100/319883213894647423279*t^7 - 106262835974794620/4158481780630416502627*t^5 + 124163980863599325/307727651766650821194398*t^3 - 4076450003248425/2154093562366555748360786*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
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.98776767508866497291 - 4.7315820144490955287e-414j)  +/-  (4.23e-116, 4.23e-116j)
| (-0.99767427627863809692 - 6.2545820484326260364e-423j)  +/-  (1.61e-116, 1.61e-116j)
| (-0.91173985427667227134 + 9.2903788165795448495e-433j)  +/-  (2.64e-116, 2.64e-116j)
| (0.98776767508866497291 + 8.3072853518906009005e-436j)  +/-  (4.7e-116, 4.7e-116j)
| (0.8716752968664230339 - 1.8067453116233541538e-438j)  +/-  (1.29e-116, 1.29e-116j)
| (0.91173985427667227134 - 6.5129707111790939032e-439j)  +/-  (2.61e-116, 2.61e-116j)
| (0.99767427627863809692 - 1.7118016576745124275e-437j)  +/-  (1.54e-116, 1.54e-116j)
| (-0.8716752968664230339 + 6.3217426010224826299e-442j)  +/-  (1.25e-116, 1.25e-116j)
| (0.087566717177141453091 - 1.9151939783966387486e-455j)  +/-  (8.99e-127, 8.99e-127j)
| (0.97003357056719685943 + 6.3086847166805083553e-444j)  +/-  (5.03e-116, 5.03e-116j)
| (0.82476502232770076182 - 1.8548341597301449968e-449j)  +/-  (4.55e-117, 4.55e-117j)
| (0.94461903590236849062 + 2.8051512482179620496e-449j)  +/-  (4.32e-116, 4.32e-116j)
| (-0.94461903590236849062 + 5.5102245434056869543e-448j)  +/-  (4.11e-116, 4.11e-116j)
| (-0.82476502232770076182 + 2.3454828519703730961e-455j)  +/-  (4.47e-117, 4.47e-117j)
| (-0.42510209362870435654 + 1.1299427928144041562e-464j)  +/-  (7.28e-122, 7.28e-122j)
| (0.77140547388040397085 - 2.6373013663318264856e-461j)  +/-  (1.2e-117, 1.2e-117j)
| (0.64718132814484258469 - 3.7174713514048120552e-463j)  +/-  (5.19e-119, 5.19e-119j)
| (-0.34390227859023169247 - 4.9140174036512896996e-466j)  +/-  (5.71e-123, 5.71e-123j)
| (-0.77140547388040397085 - 1.5113066893232267146e-460j)  +/-  (1.32e-117, 1.32e-117j)
| (-0.97003357056719685943 - 7.8744386482962198044e-468j)  +/-  (5.37e-116, 5.37e-116j)
| (0.42510209362870435654 - 7.1334668411610655474e-481j)  +/-  (7.84e-122, 7.84e-122j)
| (0.7120455287400937307 - 1.5605824876386470301e-478j)  +/-  (2.63e-118, 2.63e-118j)
| (0.17449747486771035945 + 3.0691213991936700877e-485j)  +/-  (1.87e-125, 1.87e-125j)
| (-0.7120455287400937307 + 1.2391375644011399931e-477j)  +/-  (2.76e-118, 2.76e-118j)
| (-0.57735026918962576451 + 3.7391364575558355191e-480j)  +/-  (7.13e-120, 7.13e-120j)
| (-0.087566717177141453091 + 2.9141507767787267028e-488j)  +/-  (8.27e-127, 8.27e-127j)
| (0.57735026918962576451 - 2.4900075699678873186e-482j)  +/-  (7.29e-120, 7.29e-120j)
| (0.34390227859023169247 - 5.4566144501561588749e-486j)  +/-  (5.95e-123, 5.95e-123j)
| (-0.17449747486771035945 - 4.3644686952932766932e-487j)  +/-  (1.76e-125, 1.76e-125j)
| (-0.64718132814484258469 - 1.46186884917586484e-482j)  +/-  (5.29e-119, 5.29e-119j)
| (-0.26015527258124144777 - 8.555389176741866637e-488j)  +/-  (3.11e-124, 3.11e-124j)
| (0.26015527258124144777 + 2.6475237757014159819e-488j)  +/-  (3.13e-124, 3.13e-124j)
| (0.50312421355563173533 + 9.8706151437600435579e-487j)  +/-  (8.44e-121, 8.44e-121j)
| (-5.2849260955714169468e-497 - 7.8408651543554382575e-497j)  +/-  (3.31e-495, 3.31e-495j)
| (-0.50312421355563173533 + 2.395714056901088334e-485j)  +/-  (8.65e-121, 8.65e-121j)
-------------------------------------------------
The weights are:
| (0.013838531174344674276 - 2.6877516867341718115e-414j)  +/-  (1.23e-20, 1.18e-75j)
| (0.0059660717726692927343 - 1.8890699186829332537e-414j)  +/-  (7.43e-21, 7.13e-76j)
| (0.03652355572239453044 + 3.8056735379073244748e-414j)  +/-  (1.68e-21, 1.61e-76j)
| (0.013838531174344674276 - 3.3144506918155743261e-416j)  +/-  (1.52e-21, 1.46e-76j)
| (0.043548889633087101999 - 2.0612062723681654497e-415j)  +/-  (6.8e-22, 6.53e-77j)
| (0.03652355572239453044 + 1.5232214733158680922e-415j)  +/-  (6.09e-22, 5.84e-77j)
| (0.0059660717726692927343 + 9.4257412939273587112e-417j)  +/-  (1.3e-22, 1.25e-77j)
| (0.043548889633087101999 - 3.3014187289091082102e-414j)  +/-  (9.43e-24, 9.05e-79j)
| (0.087354795656373520584 + 1.2787050217378515603e-414j)  +/-  (2.02e-25, 1.94e-80j)
| (0.021604837521374929077 + 6.5605200743858660812e-416j)  +/-  (1.38e-22, 1.33e-77j)
| (0.050205513219109179687 + 2.6704783018139030722e-415j)  +/-  (4.21e-24, 4.05e-79j)
| (0.02918821266472330023 - 1.0547305176623065523e-415j)  +/-  (8.36e-23, 8.02e-78j)
| (0.02918821266472330023 - 4.7235492826219456874e-414j)  +/-  (2.46e-25, 2.36e-80j)
| (0.050205513219109179687 + 2.9694788141744200614e-414j)  +/-  (3.48e-26, 3.34e-81j)
| (0.079715271494333519084 + 1.9978909090929563013e-414j)  +/-  (4.01e-28, 3.85e-83j)
| (0.056438684696137158934 - 3.3539197709583509538e-415j)  +/-  (9.45e-26, 9.07e-81j)
| (0.06744030628270306159 - 4.9554176440398157413e-415j)  +/-  (4.34e-27, 4.17e-82j)
| (0.082579168740192979955 - 1.8822250915213056766e-414j)  +/-  (1.95e-28, 1.87e-83j)
| (0.056438684696137158934 - 2.7269668973447044145e-414j)  +/-  (1.34e-27, 1.29e-82j)
| (0.021604837521374929077 + 7.2426517884139078717e-414j)  +/-  (1.83e-26, 1.76e-81j)
| (0.079715271494333519084 + 7.956461911246801728e-415j)  +/-  (2.77e-29, 2.66e-84j)
| (0.062198415132613580304 + 4.1146906131408423363e-415j)  +/-  (2.95e-27, 2.84e-82j)
| (0.086400551480782616674 - 1.1533810637626772305e-414j)  +/-  (8e-30, 7.68e-85j)
| (0.062198415132613580304 + 2.53668612656445371e-414j)  +/-  (2.16e-29, 2.07e-84j)
| (0.072126377267674712764 + 2.2412970911563480923e-414j)  +/-  (3.04e-30, 2.92e-85j)
| (0.087354795656373520584 + 1.5274761433631681343e-414j)  +/-  (5e-31, 4.8e-86j)
| (0.072126377267674712764 + 5.8773036328193678555e-415j)  +/-  (4.2e-30, 4.03e-85j)
| (0.082579168740192979955 - 9.1006003513473870715e-415j)  +/-  (8.27e-31, 7.94e-86j)
| (0.086400551480782616674 - 1.6483262446802353612e-414j)  +/-  (1.2e-31, 1.16e-86j)
| (0.06744030628270306159 - 2.3787962174021897436e-414j)  +/-  (1.91e-31, 1.83e-86j)
| (0.084808701228202252098 + 1.766311637102356291e-414j)  +/-  (8.94e-32, 8.6e-87j)
| (0.084808701228202252098 + 1.029863467319280648e-414j)  +/-  (3.89e-32, 3.75e-87j)
| (0.076225783325307739801 - 6.8791608071357015368e-415j)  +/-  (3.91e-32, 3.75e-87j)
| (0.087672665975951699539 - 1.4039354931386139651e-414j)  +/-  (2.24e-32, 2.18e-87j)
| (0.076225783325307739801 - 2.1162124040363176448e-414j)  +/-  (1.2e-32, 1.08e-87j)
