Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 10 26
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 26 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^38 - 575210109029206497010844676284625063467551624539441839453751030353/40391260573508167001482603691765785770209803874970556280645560824*t^36 + 2497460484451082502644788017102394339017930700954440191591538104813875/40125832289739399046901432296077039178005568020935035482229889995728*t^34 - 1790621647257194385707363159303349196296907127125049880636496349422544705/10784932034319956254939396080467817530177274338071316759057122655518448*t^32 + 1184200178266855446225153953148582727219739296187041497243306256904959698985/3918974677971014104138603050739993195028167062596664727322381944949016042*t^30 - 30362956923765708687881556540052490127322300632504952871326394853710664104647/76420006220434775030702759489429867303049257720634962182786447926505812819*t^28 + 233941298412817313717450518598963912792899930750393383914285857792900546435861/600038567360450826166999444879967846972090468028689332694471368904416011764*t^26 - 4305677390934750906284384742534696073685062384507915841542801378532809226625/14805015450112719948968055969462196514550853347587400080995665125362949492*t^24 + 9598824569930195619618099934874662763163852717892034619542459223191785853545675/57672937685914100561205062029039986522432849215526717015518613495851369746086*t^22 - 402248973134816294390007709175285789209904254584421421534874654992306641505725/5492660731991819101067148764670474906898366591954925430049391761509654261532*t^20 + 14268416436448579736982822589218334902613702775306533492080819383002685810265/578174813893875694849173554175839463884038588626834255794672817001016238056*t^18 - 9220957858734247896379278182486979435050634572772414594399144517939459485755/1462442176319803228147909578209476291000803488879639588186525360649629308024*t^16 + 846086338389879804244825541006909323454139966096645777146183785893789857487875/704531518442065205160255439302415203189637080767766371608858592492958919140562*t^14 - 196714428805610974187298975329397205997312465050217406093707528592592548400/1183423603206156559619689987630036735480913349553918877282517232630950032151*t^12 + 204266024529137052917794773466995584383026363361353912742396459762194640196425/12681567331957173692884597907443473657413467453819794688959454664873260544530116*t^10 - 10197699854443246319983128292824040681793816123116568531876274153040271874755/9863441258188912872243576150233812844654919130748729202524020294901424867967868*t^8 + 14215072690660761628650011774629061419635985758062865291188537010957648330/352265759221032602580127719651207601594818540383883185804429296246479459570281*t^6 - 1001281230639196939799510812717937581748229030268898655769691197954096375/1207768317329254637417580753089854634039377852744742351329471872845072432812392*t^4 + 492937411052187772488492712172398199039266528104147452667819505179792475/73271277917974781336666565687451181131722256399847702647321293619267727590618448*t^2 - 292541143970320132990097609163440001891010869879198559958033757375/32406580237936656937933023302720557776082377885823840180150948084594306762768
-------------------------------------------------
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:
| (-0.99924495546316331898 + 9.2212101036976454959e-946j)  +/-  (1.53e-242, 1.53e-242j)
| (-0.99354542373365854873 - 5.3978221088384648056e-959j)  +/-  (3.62e-242, 3.62e-242j)
| (-0.93393143594529279541 + 3.5672980079011609397e-968j)  +/-  (1.4e-242, 1.4e-242j)
| (0.99354542373365854873 - 3.1209651454364978481e-975j)  +/-  (3.38e-242, 3.38e-242j)
| (0.90030150467747382532 + 2.1361279155621329338e-988j)  +/-  (7.01e-243, 7.01e-243j)
| (0.93393143594529279541 + 1.2041913000656674526e-995j)  +/-  (1.43e-242, 1.43e-242j)
| (-0.81409438324679865591 + 2.0226128554796012361e-1000j)  +/-  (7.52e-244, 7.52e-244j)
| (-0.90030150467747382532 + 2.2360007255864756052e-998j)  +/-  (7.14e-243, 7.14e-243j)
| (-0.98075725178499407913 - 5.1549783458037717755e-1007j)  +/-  (3.59e-242, 3.59e-242j)
| (0.99924495546316331898 + 2.9681962141431021482e-1017j)  +/-  (1.66e-242, 1.66e-242j)
| (0.86023849900519475227 - 1.3889629155817690182e-1030j)  +/-  (2.41e-243, 2.41e-243j)
| (0.98075725178499407913 + 1.6351966894867920209e-1038j)  +/-  (3.74e-242, 3.74e-242j)
| (-0.96082989829912525356 - 1.3102449052261647651e-1050j)  +/-  (2.59e-242, 2.59e-242j)
| (-0.86023849900519475227 + 3.0093111659665160407e-1060j)  +/-  (2.6e-243, 2.6e-243j)
| (0.96082989829912525356 + 3.3379548020040017171e-1061j)  +/-  (2.54e-242, 2.54e-242j)
| (0.7622702556366203736 + 1.9543031380222810384e-1068j)  +/-  (1.83e-244, 1.83e-244j)
| (0.81409438324679865591 - 4.0983963159286189027e-1070j)  +/-  (7.01e-244, 7.01e-244j)
| (-0.28142267986093438556 - 1.1090132872906823431e-1077j)  +/-  (3.46e-251, 3.46e-251j)
| (-0.7622702556366203736 + 3.0629703788240192924e-1071j)  +/-  (2e-244, 2e-244j)
| (-0.50759139698158116663 - 1.4177974095756859789e-1076j)  +/-  (7.53e-248, 7.53e-248j)
| (0.28142267986093438556 + 9.8646446895712020699e-1080j)  +/-  (3.51e-251, 3.51e-251j)
| (0.70521135282971691338 + 6.871558017000491354e-1075j)  +/-  (3.7e-245, 3.7e-245j)
| (0.20213781196077181876 - 1.1432291988328973621e-1081j)  +/-  (1.94e-252, 1.94e-252j)
| (-0.57735026918962576451 - 4.9849830748033555766e-1075j)  +/-  (7.07e-247, 7.07e-247j)
| (-0.70521135282971691338 + 1.4460815197437220002e-1075j)  +/-  (3.51e-245, 3.51e-245j)
| (-0.040648716623121461557 + 5.12302893632624857e-1081j)  +/-  (4.57e-255, 4.57e-255j)
| (0.64340061993663062782 + 5.4485986593056405463e-1078j)  +/-  (5.48e-246, 5.48e-246j)
| (0.35909882564439703209 + 1.7059105486382905892e-1083j)  +/-  (5.25e-250, 5.25e-250j)
| (-0.12172613438315505292 + 1.158721257121436457e-1083j)  +/-  (7.42e-254, 7.42e-254j)
| (-0.64340061993663062782 - 2.5045716896659037832e-1080j)  +/-  (5.5e-246, 5.5e-246j)
| (-0.20213781196077181876 + 1.6950965770297900804e-1085j)  +/-  (1.93e-252, 1.93e-252j)
| (0.43466256338320606749 - 2.2088718129863719469e-1082j)  +/-  (6.47e-249, 6.47e-249j)
| (0.57735026918962576451 - 2.0743892692302120781e-1081j)  +/-  (7e-247, 7e-247j)
| (0.040648716623121461557 + 8.2112931772362531386e-1089j)  +/-  (4.44e-255, 4.44e-255j)
| (-0.43466256338320606749 + 3.4465329499366221256e-1085j)  +/-  (6.44e-249, 6.44e-249j)
| (-0.35909882564439703209 - 1.5768399273286332195e-1086j)  +/-  (5.38e-250, 5.38e-250j)
| (0.12172613438315505292 + 7.8529266662026705421e-1090j)  +/-  (7.42e-254, 7.42e-254j)
| (0.50759139698158116663 + 2.2854086397075202447e-1085j)  +/-  (7.19e-248, 7.19e-248j)
-------------------------------------------------
The weights are:
| (0.0024586879385564847881 + 7.452266355216496607e-946j)  +/-  (9.3e-79, 9.32e-196j)
| (0.0091907848713535002824 - 1.0328592999447290184e-945j)  +/-  (7.64e-79, 7.66e-196j)
| (0.030309238149306290886 + 1.8694323806707794447e-946j)  +/-  (7.92e-80, 7.94e-197j)
| (0.0091907848713535002824 + 2.9540559878265629775e-948j)  +/-  (1.01e-80, 1.01e-197j)
| (0.036900812731275498972 + 7.4446215143774390751e-948j)  +/-  (7.86e-81, 7.88e-198j)
| (0.030309238149306290886 - 6.3159890026031833096e-948j)  +/-  (6.31e-81, 6.33e-198j)
| (0.049054834322209786517 - 9.9110683988918788808e-947j)  +/-  (3.87e-81, 3.88e-198j)
| (0.036900812731275498972 - 1.4292410798722495559e-946j)  +/-  (1.3e-80, 1.31e-197j)
| (0.016378308680376312762 + 4.4846775081128421647e-946j)  +/-  (4.37e-80, 4.38e-197j)
| (0.0024586879385564847881 - 1.1344604712239803056e-948j)  +/-  (3.55e-82, 3.56e-199j)
| (0.043166466374358641726 - 8.6966448057632198325e-948j)  +/-  (4.15e-83, 4.16e-200j)
| (0.016378308680376312762 - 4.187439213887003456e-948j)  +/-  (2.08e-82, 2.08e-199j)
| (0.023447604744910750534 - 2.6818158460446271294e-946j)  +/-  (4.33e-82, 4.34e-199j)
| (0.043166466374358641726 + 1.1633464759670829365e-946j)  +/-  (1.91e-83, 1.92e-200j)
| (0.023447604744910750534 + 5.2560293210985785148e-948j)  +/-  (1.27e-82, 1.27e-199j)
| (0.054519109168492390627 - 1.175945060597811509e-947j)  +/-  (1.77e-85, 1.77e-202j)
| (0.049054834322209786517 + 1.0119672287239035452e-947j)  +/-  (1.24e-84, 1.24e-201j)
| (0.078562679604629274766 - 5.7186348956184898679e-947j)  +/-  (1.19e-88, 1.2e-205j)
| (0.054519109168492390627 + 8.7412078723042154857e-947j)  +/-  (1.77e-86, 1.77e-203j)
| (0.071433663605441793522 + 6.5334978562209636653e-947j)  +/-  (1.02e-88, 1.02e-205j)
| (0.078562679604629274766 + 3.2053308765566935883e-947j)  +/-  (1.95e-89, 1.95e-206j)
| (0.059518064835045756305 + 1.3660917619988600933e-947j)  +/-  (8.95e-88, 8.97e-205j)
| (0.07992675078149967928 - 3.6088374267234483377e-947j)  +/-  (1.29e-89, 1.29e-206j)
| (0.067994134303256364799 - 6.8802175346546474446e-947j)  +/-  (8.36e-89, 8.38e-206j)
| (0.059518064835045756305 - 7.9189715073097401658e-947j)  +/-  (4.11e-88, 4.12e-205j)
| (0.081260863566076777354 + 4.787659223898446576e-947j)  +/-  (6.75e-91, 6.77e-208j)
| (0.064017856944841203839 - 1.5866419307997058446e-947j)  +/-  (5.97e-90, 5.97e-207j)
| (0.076705613506470989596 - 2.8185547373797392893e-947j)  +/-  (9.62e-91, 9.63e-208j)
| (0.080819851545816546602 - 5.1304165619015252449e-947j)  +/-  (3.9e-91, 3.91e-208j)
| (0.064017856944841203839 + 7.3242428982759338943e-947j)  +/-  (6.38e-90, 6.39e-207j)
| (0.07992675078149967928 + 5.4391622634944837014e-947j)  +/-  (2.5e-91, 2.5e-208j)
| (0.074334674326081956842 + 2.458546255178912969e-947j)  +/-  (8.74e-92, 8.74e-209j)
| (0.067994134303256364799 + 1.8411366296736530805e-947j)  +/-  (8.8e-92, 8.83e-209j)
| (0.081260863566076777354 - 4.4133667201468249421e-947j)  +/-  (4.87e-92, 4.89e-209j)
| (0.074334674326081956842 - 6.2441337352819286997e-947j)  +/-  (2.91e-92, 2.92e-209j)
| (0.076705613506470989596 + 5.9807692664094374772e-947j)  +/-  (2.4e-92, 2.4e-209j)
| (0.080819851545816546602 + 4.0161937572059867648e-947j)  +/-  (9.09e-93, 9.29e-210j)
| (0.071433663605441793522 - 2.1317626596486128213e-947j)  +/-  (4.93e-93, 4.69e-210j)
