Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 10 27
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 27 Kronrod extension for:
P2 : 3/2*t^12 - 3091/728*t^10 + 61875/13832*t^8 - 36135/16796*t^6 + 7755/16796*t^4 - 15543/436696*t^2 + 189/436696
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^39 - 1452426002665852624125858999931410516585123914057325518840815555653/101989391389980291859332832512884741175966284868785746221538070120*t^37 + 13920923087055263325059126971899473579365385885258306039748758276961907/223662735318226780047516901700756237398894062717247141463832987773160*t^35 - 51237030625149535670028491469379021957689520990953544368390967088328510/308601321706934331041752486989495808506331212725344567805455277177491*t^33 + 676717255358980054709192535744007644040737105041184966845501494790033250317/2239519791627222440369997798082771082330445610747825528564188946477052187*t^31 - 379958904176720866713448466189010224599336068437877812800868919814430497188547/956312908987393934960707195337242960139546554528486718078748751144794115242*t^29 + 12221001743453761974577210691304683993094982399545840660092733952095027835049283/31345812016809023423712069180498519249018470398433731314803431287523807110710*t^27 - 18582928691190208565568776228941924672095137142972326346154676527798076366259267/63897232188110701594489987175631596930691497350653375372483917624567760648755*t^25 + 253107154670484898743704484958846007785340559448725968518810319390066677321925900/1520754126077034697948861694780032006950457636945550333865117239464712703440369*t^23 - 3118376780915645869307961530819348459101500968059317523159744755734655696762308685/42581115530156971542568127453840896194612813834475409348223282705011955696330332*t^21 + 150118745871056983843089007440545433483786772742094125919832540279340371805840445/6083016504308138791795446779120128027801830547782201335460468957858850813761476*t^19 - 11736362900567702074211273449202218042168269977067081465953654411278002264543/1861388159213016766155277472190981648654170914254039576334292826762194251457*t^17 + 11427103592968484683116079835760205524532115389774072820451948769834128717901971/9515306776475811531128945774459581071352553821259929488363473501418527472609863*t^15 - 129697453432382637395691708579512081646700014085192043482332266911227284424380825/780255155671016545552573553505685647850909413343314218045804827116319252754008766*t^13 + 2900252423637411060435561046338103152863656851051438214346928501294502461750665/180058882077926895127516973885927457196363710771534050318262652411458289097078946*t^11 - 2823412831000529804152570920137336949421272816360425848460597488266157986319815/2730893044848557909434007437269899767478182946701599763160316894907117384639030681*t^9 + 31485094796673095237524155451206163146015988013489441346949144946213716468851/780255155671016545552573553505685647850909413343314218045804827116319252754008766*t^7 - 369607238589893920512882763589073197249114277563838617262969777349171490401/445860088954866597458613459146106084486233950481893838883317044066468144430862152*t^5 + 272889157199802224020841524848208524531760528870455746454537910461682861725/40573268094892860368733824782295653688247289493852339338381851010048601143208455832*t^3 - 6529176228360884354478089620169344680940545203118846751776332810805315/724522644551658220870246871112422387290130169533077488185390196608010734700150997*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:
| (0.96083058541998391607 - 5.869748588994140173e-842j)  +/-  (2.7e-242, 2.7e-242j)
| (-0.9992441699267573486 - 8.5709342477055902717e-850j)  +/-  (1.55e-242, 1.55e-242j)
| (-0.93393210531258957795 + 4.6664145565855535533e-875j)  +/-  (1.47e-242, 1.47e-242j)
| (-0.99354456215631174103 - 1.4355686531134833456e-898j)  +/-  (3.66e-242, 3.66e-242j)
| (0.93393210531258957795 - 1.3832838712800608796e-917j)  +/-  (1.42e-242, 1.42e-242j)
| (0.81409358583150741733 - 1.5714920364781580864e-924j)  +/-  (7.71e-244, 7.71e-244j)
| (-0.98075725178499407913 - 2.7276144511716130333e-922j)  +/-  (3.84e-242, 3.84e-242j)
| (-0.90030150467747382532 + 1.4260516582289348475e-935j)  +/-  (6.58e-243, 6.58e-243j)
| (-0.12172613438315505292 - 2.8204117050047791949e-948j)  +/-  (7.85e-254, 7.85e-254j)
| (0.98075725178499407913 + 6.1844123778850133009e-935j)  +/-  (3.7e-242, 3.7e-242j)
| (0.90030150467747382532 - 2.5492949675213343208e-938j)  +/-  (6.68e-243, 6.68e-243j)
| (0.99354456215631174103 + 4.2558447662344609342e-938j)  +/-  (3.82e-242, 3.82e-242j)
| (-0.70521240707962234424 - 1.9515390429393862162e-945j)  +/-  (3.57e-245, 3.57e-245j)
| (-0.8602377734859259001 + 3.6719269226569134401e-944j)  +/-  (2.49e-243, 2.49e-243j)
| (0.9992441699267573486 + 1.9943771062137198711e-950j)  +/-  (1.64e-242, 1.64e-242j)
| (0.8602377734859259001 + 1.3430680216602156943e-953j)  +/-  (2.46e-243, 2.46e-243j)
| (0.43466005172208975514 + 1.5464022857878365699e-958j)  +/-  (6.35e-249, 6.35e-249j)
| (-0.96083058541998391607 + 3.5789086125662658994e-953j)  +/-  (2.6e-242, 2.6e-242j)
| (-0.81409358583150741733 - 1.1600206776645037417e-966j)  +/-  (7.12e-244, 7.12e-244j)
| (-0.7622702556366203736 + 1.9961189771397843456e-971j)  +/-  (1.82e-244, 1.82e-244j)
| (0.64340188214083786507 - 4.1981663528588308144e-971j)  +/-  (6.03e-246, 6.03e-246j)
| (0.70521240707962234424 - 5.0434330484350734352e-969j)  +/-  (3.57e-245, 3.57e-245j)
| (0.040612044323347262193 - 6.8040156856684797048e-977j)  +/-  (6.28e-255, 6.28e-255j)
| (-0.43466005172208975514 + 4.9695044118794431738e-976j)  +/-  (6.93e-249, 6.93e-249j)
| (-0.57735026918962576451 + 5.3293029591355912101e-974j)  +/-  (7.76e-247, 7.76e-247j)
| (-5.5184877442980321939e-977 + 1.8929928881058510873e-976j)  +/-  (7.69e-975, 7.69e-975j)
| (0.7622702556366203736 + 2.0939173368654874027e-974j)  +/-  (1.76e-244, 1.76e-244j)
| (0.28142729938677787243 + 1.2033175931820866182e-981j)  +/-  (3.54e-251, 3.54e-251j)
| (-0.28142729938677787243 - 1.4412491726148471642e-979j)  +/-  (3.75e-251, 3.75e-251j)
| (-0.64340188214083786507 - 2.7173475523599001297e-977j)  +/-  (5.71e-246, 5.71e-246j)
| (-0.20214468129971344754 - 1.8001265817250704062e-982j)  +/-  (2.03e-252, 2.03e-252j)
| (0.35909882564439703209 + 1.2661552195740961942e-979j)  +/-  (5.7e-250, 5.7e-250j)
| (0.57735026918962576451 - 3.5206524640592601725e-977j)  +/-  (6.9e-247, 6.9e-247j)
| (-0.040612044323347262193 - 2.0159476726703332422e-984j)  +/-  (6.28e-255, 6.28e-255j)
| (-0.50758944916515956954 - 2.8041290378872515694e-981j)  +/-  (7.16e-248, 7.16e-248j)
| (-0.35909882564439703209 - 6.9479544738534762913e-983j)  +/-  (5.66e-250, 5.66e-250j)
| (0.20214468129971344754 + 1.306304652456849119e-984j)  +/-  (1.95e-252, 1.95e-252j)
| (0.50758944916515956954 + 2.0482512793629425976e-980j)  +/-  (7.02e-248, 7.02e-248j)
| (0.12172613438315505292 - 5.0158045249864115489e-988j)  +/-  (7.85e-254, 7.85e-254j)
-------------------------------------------------
The weights are:
| (0.023447225584711845305 + 3.6951801594604610557e-843j)  +/-  (6.5e-76, 3.64e-193j)
| (0.0024598104216645478419 - 1.4859547962564038294e-844j)  +/-  (3.19e-76, 1.79e-193j)
| (0.030309643746283090423 - 8.8560094946849852094e-844j)  +/-  (8.16e-77, 4.57e-194j)
| (0.0091901318209267898835 + 3.8918955143057860002e-844j)  +/-  (1.69e-76, 9.47e-194j)
| (0.030309643746283090423 - 6.2382829030580305441e-842j)  +/-  (5.16e-78, 2.89e-195j)
| (0.04905444029574151949 + 1.9717119931030253745e-842j)  +/-  (1.43e-78, 7.98e-196j)
| (0.016377405608339212134 - 5.5893615729243330727e-844j)  +/-  (6.65e-77, 3.72e-194j)
| (0.036901638940491850992 + 1.0832091084663293038e-843j)  +/-  (6.15e-78, 3.45e-195j)
| (0.080834298073829197403 + 4.383492645022138305e-842j)  +/-  (1.21e-79, 6.78e-197j)
| (0.016377405608339212134 + 5.4460831520646321087e-842j)  +/-  (2.6e-79, 1.45e-196j)
| (0.036901638940491850992 + 3.3306221295465839251e-842j)  +/-  (1.53e-79, 8.59e-197j)
| (0.0091901318209267898835 - 2.3250627862460959413e-842j)  +/-  (4.99e-80, 2.8e-197j)
| (0.059517251174757505599 + 2.5437189935072883549e-843j)  +/-  (2.17e-82, 1.22e-199j)
| (0.043166961560191326142 - 1.3249339341234332102e-843j)  +/-  (2.3e-81, 1.29e-198j)
| (0.0024598104216645478419 + 7.5821324570131177845e-843j)  +/-  (1.72e-80, 9.64e-198j)
| (0.043166961560191326142 - 2.3985759924818575086e-842j)  +/-  (2.05e-81, 1.15e-198j)
| (0.07433382865280099464 + 1.9785493561814798313e-842j)  +/-  (1.28e-84, 7.14e-202j)
| (0.023447225584711845305 + 7.1619997956801459981e-844j)  +/-  (6.05e-81, 3.39e-198j)
| (0.04905444029574151949 + 1.630059055558068171e-843j)  +/-  (1.58e-82, 8.83e-200j)
| (0.054518016057503939194 - 2.0242926006384606803e-843j)  +/-  (4.2e-83, 2.35e-200j)
| (0.064018376947134659605 - 1.6378851230229954394e-842j)  +/-  (1.72e-85, 9.62e-203j)
| (0.059517251174757505599 + 1.6579200518197094304e-842j)  +/-  (4.13e-85, 2.31e-202j)
| (0.08135694120832749773 - 1.5767867423749022073e-841j)  +/-  (2.07e-87, 1.16e-204j)
| (0.07433382865280099464 + 7.4601316471938849208e-843j)  +/-  (1.23e-87, 6.9e-205j)
| (0.067996007506178149217 + 4.1950477931687885456e-843j)  +/-  (4.82e-87, 2.7e-204j)
| (-0.00020983993846624669106 + 2.378411337192639913e-841j)  +/-  (1.1e-87, 6.15e-205j)
| (0.054518016057503939194 - 1.7566752159240490821e-842j)  +/-  (8.11e-87, 4.54e-204j)
| (0.078558252893004662352 + 2.7557337262143283767e-842j)  +/-  (7.9e-89, 4.43e-206j)
| (0.078558252893004662352 + 1.5071384035353531018e-842j)  +/-  (8.22e-89, 4.61e-206j)
| (0.064018376947134659605 - 3.2408754807909876767e-843j)  +/-  (7.41e-88, 4.15e-205j)
| (0.079927798996374207139 - 2.3667572292796627299e-842j)  +/-  (8.55e-89, 4.79e-206j)
| (0.076701579310879230333 - 2.2743957217971205715e-842j)  +/-  (7.51e-90, 4.21e-207j)
| (0.067996007506178149217 + 1.6826788149445432695e-842j)  +/-  (8.46e-90, 4.74e-207j)
| (0.08135694120832749773 - 1.4488981737656688293e-841j)  +/-  (5.59e-89, 3.13e-206j)
| (0.071435311170092897922 - 5.5313671307670002784e-843j)  +/-  (6.93e-90, 3.88e-207j)
| (0.076701579310879230333 - 1.0368555656604943017e-842j)  +/-  (6.4e-90, 3.58e-207j)
| (0.079927798996374207139 - 3.6279573517142384084e-842j)  +/-  (3.03e-91, 1.7e-208j)
| (0.071435311170092897922 - 1.7920637616135112793e-842j)  +/-  (8.44e-92, 4.76e-209j)
| (0.080834298073829197403 + 5.6552904665795655907e-842j)  +/-  (5.16e-91, 2.88e-208j)
