Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 43
-------------------------------------------------
Trying to find an order 43 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^45 - 34977553470695/2108885727906*t^43 + 511077068037998/5975176229067*t^41 - 3304946375613575/12096088463721*t^39 + 1186604906275804015/1959566331122802*t^37 - 17001162269724321689/17200637795411262*t^35 + 622748936612376665/505901111629743*t^33 - 312906041052397364/261672988774005*t^31 + 33921509174842803085/36930781148971239*t^29 - 50835869756657148163/90416740054377861*t^27 + 36214423121749256384/131619305142448785*t^25 - 4996328131767162438430/46444065474598761267*t^23 + 67564654316043267383/2019307194547772229*t^21 - 149234471253221036375/18173764750929950061*t^19 + 193461405708497415170/123177738867414105969*t^17 - 1671805520093499995116/7267486593177432252171*t^15 + 1098051980165430656135/43604919559064593513026*t^13 - 28954220246075914153/14534973186354864504342*t^11 + 41821961398465298050/385176789438403909365063*t^9 - 74668374060806641115/19644016261358599377618213*t^7 + 1001359100726241829/13096010840905732918412142*t^5 - 52882889459941255/73026907909457392036569402*t^3 + 590702297256227/289382747014342352025510093*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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:
| (0.68431388858078010034 + 7.0249330908537938666e-878j)  +/-  (2e-243, 2e-243j)
| (0.98163636878709305279 + 4.1057513222333281407e-873j)  +/-  (7.17e-240, 7.17e-240j)
| (-0.94568715750929023396 - 1.9797851021015453219e-873j)  +/-  (5.09e-240, 5.09e-240j)
| (0.9985775575962523987 + 7.8615014168622562383e-885j)  +/-  (1.66e-240, 1.66e-240j)
| (0.92080137771891728617 + 5.2434414223452594694e-885j)  +/-  (2.99e-240, 2.99e-240j)
| (0.94568715750929023396 - 5.6728252154565044168e-885j)  +/-  (5e-240, 5e-240j)
| (-0.9985775575962523987 - 2.7449575370886173393e-883j)  +/-  (1.78e-240, 1.78e-240j)
| (-0.92080137771891728617 - 2.5981611215490615952e-905j)  +/-  (2.84e-240, 2.84e-240j)
| (-0.98163636878709305279 - 3.7814697426980401034e-919j)  +/-  (7.06e-240, 7.06e-240j)
| (-0.99251333891064639124 + 9.7312278885041771715e-935j)  +/-  (5.21e-240, 5.21e-240j)
| (0.85785449441437768385 + 5.9311386063477752092e-945j)  +/-  (4.9e-241, 4.9e-241j)
| (-0.20266836641710813548 + 1.8548019059279363416e-956j)  +/-  (8.51e-252, 8.51e-252j)
| (-0.85785449441437768385 + 1.5362188847565935889e-944j)  +/-  (5.42e-241, 5.42e-241j)
| (-0.8201218181824445892 - 1.6602252737542466176e-954j)  +/-  (1.81e-241, 1.81e-241j)
| (0.96600066996689792162 + 1.4194557404874119002e-963j)  +/-  (6.99e-240, 6.99e-240j)
| (0.89147285941860497123 + 1.7242713912067661517e-966j)  +/-  (1.42e-240, 1.42e-240j)
| (0.73312362229052634202 - 7.2120722331876485475e-971j)  +/-  (1.05e-242, 1.05e-242j)
| (-0.96600066996689792162 - 1.2015973907683174581e-965j)  +/-  (6.56e-240, 6.56e-240j)
| (-0.77847215819776463458 + 3.8331769291007081544e-976j)  +/-  (4.61e-242, 4.61e-242j)
| (-0.89147285941860497123 - 1.3226538008877647687e-981j)  +/-  (1.37e-240, 1.37e-240j)
| (0.77847215819776463458 + 1.6706993379399687137e-991j)  +/-  (4.83e-242, 4.83e-242j)
| (0.63229874064839623649 - 4.7490337421004465508e-994j)  +/-  (3.33e-244, 3.33e-244j)
| (0.20266836641710813548 + 1.7395781185097185363e-1002j)  +/-  (9.06e-252, 9.06e-252j)
| (-0.73312362229052634202 + 5.2056334226761943001e-991j)  +/-  (1.01e-242, 1.01e-242j)
| (-0.68431388858078010034 + 5.8235374862634589195e-994j)  +/-  (2.13e-243, 2.13e-243j)
| (3.0214934636454075642e-1003 - 2.7733494489937776595e-1003j)  +/-  (1.85e-1001, 1.85e-1001j)
| (0.8201218181824445892 - 2.8489329056050446424e-990j)  +/-  (1.63e-241, 1.63e-241j)
| (0.99251333891064639124 + 6.656391505035781278e-998j)  +/-  (4.88e-240, 4.88e-240j)
| (-0.45980931128676297385 - 3.4186180719471254558e-1007j)  +/-  (4.67e-247, 4.67e-247j)
| (-0.63229874064839623649 + 6.0559517226641119447e-1004j)  +/-  (2.99e-244, 2.99e-244j)
| (-0.26894321002882683188 - 8.6821825644499491375e-1011j)  +/-  (1.41e-250, 1.41e-250j)
| (0.26894321002882683188 - 7.5574775877337802476e-1013j)  +/-  (1.5e-250, 1.5e-250j)
| (0.57735026918962576451 + 5.0147139218222270646e-1007j)  +/-  (3.97e-245, 3.97e-245j)
| (0.067917141529800287122 - 6.6378950249463436607e-1016j)  +/-  (2.43e-254, 2.43e-254j)
| (-0.57735026918962576451 + 1.7309241992608441708e-1006j)  +/-  (4.4e-245, 4.4e-245j)
| (-0.39781962692582096067 + 1.4717428096379779112e-1010j)  +/-  (3.4e-248, 3.4e-248j)
| (0.13556491039604680337 + 6.364129483509829406e-1016j)  +/-  (5.08e-253, 5.08e-253j)
| (0.51975463923876199007 - 1.6009736025576987007e-1010j)  +/-  (4.41e-246, 4.41e-246j)
| (0.33409475817458540917 + 2.119983261208916779e-1013j)  +/-  (2.27e-249, 2.27e-249j)
| (-0.33409475817458540917 + 6.4950048717081705331e-1012j)  +/-  (2.23e-249, 2.23e-249j)
| (-0.51975463923876199007 - 6.6262956691755978465e-1010j)  +/-  (4.54e-246, 4.54e-246j)
| (-0.13556491039604680337 - 3.2588692798831900303e-1017j)  +/-  (4.36e-253, 4.36e-253j)
| (0.45980931128676297385 + 2.3558392668168776125e-1013j)  +/-  (4.22e-247, 4.22e-247j)
| (0.39781962692582096067 - 4.3092673484188848888e-1014j)  +/-  (3.38e-248, 3.38e-248j)
| (-0.067917141529800287122 + 4.1735676717568904024e-1019j)  +/-  (2.14e-254, 2.14e-254j)
-------------------------------------------------
The weights are:
| (0.05045649673930682429 + 1.781210015602307763e-873j)  +/-  (4.78e-70, 1.56e-185j)
| (0.013267724438498901565 - 1.5155167884421838907e-873j)  +/-  (2.18e-70, 7.12e-186j)
| (0.022619255178637636516 - 4.9493118555130883134e-874j)  +/-  (7.59e-72, 2.48e-187j)
| (0.0036495216836310604771 + 4.6467882049236122657e-874j)  +/-  (9.05e-71, 2.96e-186j)
| (0.027130706105788733999 + 2.7580248764422478731e-873j)  +/-  (7.01e-71, 2.29e-186j)
| (0.022619255178637636516 - 3.4764581380830940789e-873j)  +/-  (9.1e-71, 2.97e-186j)
| (0.0036495216836310604771 + 4.9879431134498932799e-875j)  +/-  (4.41e-73, 1.44e-188j)
| (0.027130706105788733999 + 2.4913146624988667004e-873j)  +/-  (4.22e-73, 1.38e-188j)
| (0.013267724438498901565 + 5.189398096140442923e-874j)  +/-  (2.12e-73, 6.92e-189j)
| (0.0084770219065051435844 - 1.9923977596161456207e-874j)  +/-  (2.91e-73, 9.51e-189j)
| (0.035706623363406202805 + 2.1651835377664745929e-873j)  +/-  (4.35e-75, 1.42e-190j)
| (0.066737413280156467622 + 1.3506808718272663419e-873j)  +/-  (8e-77, 2.62e-192j)
| (0.035706623363406202805 + 1.2164354344477555825e-873j)  +/-  (2.02e-75, 6.62e-191j)
| (0.039725824416185488233 - 1.0804119449815634488e-873j)  +/-  (6.2e-76, 2.03e-191j)
| (0.017990169048755324692 + 5.5716938831420364081e-873j)  +/-  (8.6e-75, 2.81e-190j)
| (0.031500836599205362892 - 2.389594191060326745e-873j)  +/-  (3.06e-75, 9.99e-191j)
| (0.047120310355195976197 - 1.8357708933834610003e-873j)  +/-  (4.8e-77, 1.57e-192j)
| (0.017990169048755324692 - 1.498089982533141777e-873j)  +/-  (5.63e-75, 1.84e-190j)
| (0.043537124212570125582 + 1.0150414601819421401e-873j)  +/-  (1.63e-77, 5.32e-193j)
| (0.031500836599205362892 - 1.5218431421321411434e-873j)  +/-  (3.9e-76, 1.27e-191j)
| (0.043537124212570125582 + 1.9109327339586609539e-873j)  +/-  (1.44e-77, 4.71e-193j)
| (0.053528413741139646529 - 1.7417489831072577934e-873j)  +/-  (5.63e-79, 1.84e-194j)
| (0.066737413280156467622 + 1.6228419476692209185e-873j)  +/-  (2.59e-81, 8.46e-197j)
| (0.047120310355195976197 - 9.8758314150629886423e-874j)  +/-  (9.08e-79, 2.97e-194j)
| (0.05045649673930682429 + 9.8413484277783825517e-874j)  +/-  (8.7e-80, 2.85e-195j)
| (0.067961837224732255259 - 1.5214238652926634599e-873j)  +/-  (1.04e-82, 3.41e-198j)
| (0.039725824416185488233 - 2.0156349118168941106e-873j)  +/-  (1.89e-78, 6.19e-194j)
| (0.0084770219065051435844 - 2.5396455315003914866e-873j)  +/-  (1.79e-78, 5.86e-194j)
| (0.061018860362103475932 + 1.1095212583086871014e-873j)  +/-  (1.03e-82, 3.38e-198j)
| (0.053528413741139646529 - 9.97817242103159441e-874j)  +/-  (3.17e-81, 1.04e-196j)
| (0.065763129887233086717 - 1.2866446194832689167e-873j)  +/-  (3.96e-83, 1.29e-198j)
| (0.065763129887233086717 - 1.6413490321992279162e-873j)  +/-  (4.55e-84, 1.49e-199j)
| (0.056320788927921336379 + 1.713550739051170685e-873j)  +/-  (4.27e-83, 1.4e-198j)
| (0.067827647766959599125 + 1.5639097945679338878e-873j)  +/-  (3.64e-84, 1.19e-199j)
| (0.056320788927921336379 + 1.0247958961311300833e-873j)  +/-  (2.91e-83, 9.5e-199j)
| (0.062908903591069454037 - 1.1637529315802965163e-873j)  +/-  (3.92e-84, 1.28e-199j)
| (0.067422132271590318068 - 1.5975254080159732782e-873j)  +/-  (1.43e-84, 4.68e-200j)
| (0.058820837363394364666 - 1.6934049567045603078e-873j)  +/-  (2.37e-85, 7.76e-201j)
| (0.064489340148379342463 + 1.655168609598010339e-873j)  +/-  (1.28e-85, 4.18e-201j)
| (0.064489340148379342463 + 1.2235066027198845905e-873j)  +/-  (2.5e-85, 8.18e-201j)
| (0.058820837363394364666 - 1.0626403383386074164e-873j)  +/-  (4.21e-85, 1.37e-200j)
| (0.067422132271590318068 - 1.4128904847636137473e-873j)  +/-  (3.87e-86, 1.27e-201j)
| (0.061018860362103475932 + 1.6786514419134509362e-873j)  +/-  (5.68e-87, 1.86e-202j)
| (0.062908903591069454037 - 1.6667522638233149747e-873j)  +/-  (5.23e-87, 1.72e-202j)
| (0.067827647766959599125 + 1.4705730825185741025e-873j)  +/-  (6.43e-87, 2.07e-202j)
