Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 47
-------------------------------------------------
Trying to find an order 47 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^49 - 75850358509163/4257797072250*t^47 + 39262000115140103/395975127719250*t^45 - 3024144293163763/8799447282650*t^43 + 8464751901494072569/10180960506026050*t^41 - 264184199906925966899/177148712804853270*t^39 + 208937114537371961279/101603512742324750*t^37 - 18811715087919362970669/8433091557612954250*t^35 + 2587747769770444903699/1339373365032645675*t^33 - 47561466041029587761653/35270165279193002775*t^31 + 520341274362252307349/682648360242445215*t^29 - 3084895604533903003823/8827349485893688125*t^27 + 3096739266871565601559/23866537498897749375*t^25 - 2632161503536679645209/67780966496869608225*t^23 + 1890267070244196258923/203342899490608824675*t^21 - 1598246761862267943503/908264951058052750215*t^19 + 3924900130543620412723/15137749184300879170250*t^17 - 51554128574618097421147/1771116654563202862919250*t^15 + 17420454803784268942937/7202541061890358309204950*t^13 - 14013551205995105263037/98065366765737955440713550*t^11 + 6337932507780707234863/1117945181129412692024134470*t^9 - 7051893907123847243/50908250506803856649550750*t^7 + 297429024524587265723/164586373888496868547997574750*t^5 - 16021347763067950093/1678781013662668059189575262450*t^3 + 2627254289632342/279796835610444676531595877075*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:
| (-0.99877127460442347627 + 2.7773328140588670196e-824j)  +/-  (2.93e-239, 2.93e-239j)
| (-0.99353158340902401503 - 3.537358488565607188e-825j)  +/-  (8.86e-239, 8.86e-239j)
| (-0.87660074215907825536 + 5.5412655683028476926e-830j)  +/-  (1.27e-239, 1.27e-239j)
| (0.99877127460442347627 - 3.627102262299742162e-829j)  +/-  (2.81e-239, 2.81e-239j)
| (0.95299817578723574359 + 3.5904298513584170477e-844j)  +/-  (9.38e-239, 9.38e-239j)
| (0.93140215666618488959 + 1.7139959828413461263e-858j)  +/-  (6e-239, 6e-239j)
| (-0.93140215666618488959 - 7.8478683326855695386e-872j)  +/-  (5.93e-239, 5.93e-239j)
| (-0.90590066140665415315 - 4.8802061076760760557e-873j)  +/-  (3.03e-239, 3.03e-239j)
| (0.97059808285834143067 - 8.9378858645637493698e-872j)  +/-  (1.25e-238, 1.25e-238j)
| (-0.98412806292317475249 + 9.197398969329127939e-885j)  +/-  (1.21e-238, 1.21e-238j)
| (0.84362541678283465762 - 8.7129561528637110929e-887j)  +/-  (4.45e-240, 4.45e-240j)
| (0.99353158340902401503 - 1.4001797828515078469e-900j)  +/-  (8.59e-239, 8.59e-239j)
| (-0.84362541678283465762 - 1.0656769563079764159e-916j)  +/-  (4.44e-240, 4.44e-240j)
| (-0.80711315914550387862 + 1.586637604837028074e-917j)  +/-  (1.33e-240, 1.33e-240j)
| (0.98412806292317475249 + 5.4797207225711871393e-915j)  +/-  (1.24e-238, 1.24e-238j)
| (0.90590066140665415315 + 5.0364360044590530354e-921j)  +/-  (2.76e-239, 2.76e-239j)
| (0.87660074215907825536 + 2.2751606601838675198e-930j)  +/-  (1.2e-239, 1.2e-239j)
| (-0.97059808285834143067 + 1.2609174092570772663e-934j)  +/-  (1.25e-238, 1.25e-238j)
| (-0.76721733015127739453 + 1.0683227825334173173e-939j)  +/-  (3.09e-241, 3.09e-241j)
| (-0.95299817578723574359 + 4.0544405023741573251e-941j)  +/-  (8.53e-239, 8.53e-239j)
| (0.80711315914550387862 - 1.1484770063617436892e-942j)  +/-  (1.24e-240, 1.24e-240j)
| (0.76721733015127739453 + 5.6638759338117584149e-949j)  +/-  (3.32e-241, 3.32e-241j)
| (0.1618761893827070744 + 6.1357896032070803726e-963j)  +/-  (2.26e-252, 2.26e-252j)
| (-0.67795903906343622049 - 3.1061966885305286944e-950j)  +/-  (1.2e-242, 1.2e-242j)
| (-0.7241055530593450436 + 1.3723133337430863894e-952j)  +/-  (6.81e-242, 6.81e-242j)
| (0.52331183798672471998 - 7.8955708717095713507e-956j)  +/-  (2.46e-245, 2.46e-245j)
| (0.7241055530593450436 - 4.7260676858588919432e-954j)  +/-  (6.52e-242, 6.52e-242j)
| (0.67795903906343622049 - 7.0407695674531718844e-954j)  +/-  (1.19e-242, 1.19e-242j)
| (-0.28770907139190237059 - 4.2406237834792398613e-964j)  +/-  (7.28e-250, 7.28e-250j)
| (-0.62897187230986167454 - 1.1605468623571855432e-957j)  +/-  (1.73e-243, 1.73e-243j)
| (-0.22522197187736901628 - 1.2552218446401295019e-967j)  +/-  (4.37e-251, 4.37e-251j)
| (0.22522197187736901628 - 1.0971043944340446094e-965j)  +/-  (4.08e-251, 4.08e-251j)
| (0.57735026918962576451 + 4.0529308471508275092e-957j)  +/-  (2.28e-244, 2.28e-244j)
| (0.035423315473384171354 + 1.0122575798780123687e-968j)  +/-  (7.22e-255, 7.22e-255j)
| (-0.52331183798672471998 - 7.2526494289331504886e-959j)  +/-  (2.55e-245, 2.55e-245j)
| (-0.4670848893284414086 + 3.4668338291293679032e-961j)  +/-  (2.41e-246, 2.41e-246j)
| (-9.6464649523375754574e-972 + 2.7158690795746654874e-971j)  +/-  (1.41e-969, 1.41e-969j)
| (0.62897187230986167454 + 4.0353174137616946599e-960j)  +/-  (1.75e-243, 1.75e-243j)
| (0.28770907139190237059 - 1.6420447463802848994e-967j)  +/-  (8.19e-250, 8.19e-250j)
| (-0.1618761893827070744 + 6.6768128615055558974e-971j)  +/-  (2.22e-252, 2.22e-252j)
| (-0.57735026918962576451 + 2.0969566261821271557e-964j)  +/-  (2.3e-244, 2.3e-244j)
| (-0.098101286411945432969 + 6.7131713552814222123e-974j)  +/-  (1.02e-253, 1.02e-253j)
| (0.34902942781705166406 + 5.2871871604470701261e-967j)  +/-  (1.28e-248, 1.28e-248j)
| (0.40890790550998596622 - 1.5442695957735757616e-964j)  +/-  (1.84e-247, 1.84e-247j)
| (-0.035423315473384171354 - 1.1983257343781015321e-974j)  +/-  (7.22e-255, 7.22e-255j)
| (-0.40890790550998596622 - 5.7887627264302380104e-967j)  +/-  (1.84e-247, 1.84e-247j)
| (-0.34902942781705166406 + 3.8184129765460553346e-968j)  +/-  (1.3e-248, 1.3e-248j)
| (0.098101286411945432969 - 3.7951770463497124265e-972j)  +/-  (1.02e-253, 1.02e-253j)
| (0.4670848893284414086 + 4.7639607496988449294e-965j)  +/-  (2.38e-246, 2.38e-246j)
-------------------------------------------------
The weights are:
| (0.003152659659215720054 + 3.4287606407016383685e-824j)  +/-  (2.12e-59, 3.76e-174j)
| (0.0073259504606349737691 - 6.0701159710577377243e-824j)  +/-  (1.69e-59, 3.01e-174j)
| (0.031159431283754341125 - 2.7123007311266285515e-824j)  +/-  (2.92e-60, 5.19e-175j)
| (0.003152659659215720054 + 4.8004258903059633308e-827j)  +/-  (3.21e-61, 5.69e-176j)
| (0.019611680369453031408 + 7.7789934140296826334e-826j)  +/-  (2.59e-61, 4.59e-176j)
| (0.023565245265581732131 - 1.0597383837512794574e-825j)  +/-  (1.24e-61, 2.2e-176j)
| (0.023565245265581732131 - 3.0544356681110643091e-824j)  +/-  (1.83e-61, 3.25e-176j)
| (0.027419895737908997815 + 2.8536031191975301708e-824j)  +/-  (1.88e-61, 3.34e-176j)
| (0.015575824592910330368 - 5.3612606105626931893e-826j)  +/-  (1.05e-61, 1.87e-176j)
| (0.011474698828583516825 + 4.6899094903043373918e-824j)  +/-  (7.3e-62, 1.29e-176j)
| (0.034768130999197658848 + 2.1957918259646061571e-825j)  +/-  (1.36e-63, 2.42e-178j)
| (0.0073259504606349737691 - 1.6813015978544401584e-826j)  +/-  (3.08e-62, 5.47e-177j)
| (0.034768130999197658848 + 2.6136881934637064653e-824j)  +/-  (2.73e-63, 4.84e-178j)
| (0.038230813699508085418 - 2.5485242462964198745e-824j)  +/-  (3.89e-64, 6.9e-179j)
| (0.011474698828583516825 + 3.3256899784715759612e-826j)  +/-  (3.44e-62, 6.1e-177j)
| (0.027419895737908997815 + 1.385597014570404705e-825j)  +/-  (1.12e-63, 1.99e-178j)
| (0.031159431283754341125 - 1.7614938310389575094e-825j)  +/-  (2.63e-64, 4.67e-179j)
| (0.015575824592910330368 - 3.8102060356503601382e-824j)  +/-  (5.47e-64, 9.7e-179j)
| (0.041532895817767820926 + 2.511735861292517438e-824j)  +/-  (2.13e-66, 3.78e-181j)
| (0.019611680369453031408 + 3.3478854291609593655e-824j)  +/-  (3.98e-64, 7.06e-179j)
| (0.038230813699508085418 - 2.6997621274456855929e-825j)  +/-  (7.83e-67, 1.39e-181j)
| (0.041532895817767820926 + 3.2884953055623626041e-825j)  +/-  (7.09e-68, 1.26e-182j)
| (0.063653481142853870386 - 4.5059958838293075758e-824j)  +/-  (1.74e-71, 3.09e-186j)
| (0.047600223680608321128 + 2.5158807838145560759e-824j)  +/-  (7.39e-69, 1.31e-183j)
| (0.044660444550742899876 - 2.5009552008634991105e-824j)  +/-  (6.69e-68, 1.19e-182j)
| (0.055171602769412886035 - 8.5643166894943414903e-825j)  +/-  (5.06e-72, 8.98e-187j)
| (0.044660444550742899876 - 3.982311251909939695e-825j)  +/-  (5.14e-70, 9.13e-185j)
| (0.047600223680608321128 + 4.8089455189130383289e-825j)  +/-  (6.78e-71, 1.2e-185j)
| (0.061951341199207904359 - 3.9700362809551860175e-824j)  +/-  (8.41e-75, 1.49e-189j)
| (0.05033972797976064642 - 2.5581527186338958224e-824j)  +/-  (1.2e-72, 2.13e-187j)
| (0.062972439737801620452 + 4.7788065805634912738e-824j)  +/-  (4.91e-75, 8.71e-190j)
| (0.062972439737801620452 + 3.0195926639814345073e-824j)  +/-  (1.83e-75, 3.24e-190j)
| (0.052867198493259223408 + 7.0316753156185145306e-825j)  +/-  (5.03e-74, 8.93e-189j)
| (0.059672778204044276272 - 2.1576004572363861597e-823j)  +/-  (4.46e-76, 7.92e-191j)
| (0.055171602769412886035 - 2.7432277796078115758e-824j)  +/-  (1.76e-75, 3.12e-190j)
| (0.05724254424387665314 + 2.904449072928677604e-824j)  +/-  (6.21e-76, 1.1e-190j)
| (0.01319213159419193892 + 3.35550562162092276e-823j)  +/-  (9.12e-77, 1.62e-191j)
| (0.05033972797976064642 - 5.8070128197905012577e-825j)  +/-  (1.24e-75, 2.21e-190j)
| (0.061951341199207904359 - 2.1937796550490892103e-824j)  +/-  (1.89e-77, 3.35e-192j)
| (0.063653481142853870386 - 6.2499447768670291672e-824j)  +/-  (1.16e-77, 2.06e-192j)
| (0.052867198493259223408 + 2.6316391280927669083e-824j)  +/-  (5.37e-77, 9.52e-192j)
| (0.0637411803836728753 + 9.6274157989856688113e-824j)  +/-  (7.57e-78, 1.34e-192j)
| (0.06064373249802412128 + 1.671448966608417823e-824j)  +/-  (6.73e-79, 1.19e-193j)
| (0.059070012605122523799 - 1.3130513494113921016e-824j)  +/-  (3.56e-79, 6.32e-194j)
| (0.059672778204044276272 - 2.3163387193476748242e-823j)  +/-  (2.51e-78, 4.46e-193j)
| (0.059070012605122523799 - 3.1347289745974695183e-824j)  +/-  (9.12e-80, 1.62e-194j)
| (0.06064373249802412128 + 3.468264750027144353e-824j)  +/-  (8.83e-80, 1.57e-194j)
| (0.0637411803836728753 + 7.9047081271649951038e-824j)  +/-  (1.04e-79, 1.86e-194j)
| (0.05724254424387665314 + 1.0529935899494619281e-824j)  +/-  (1.55e-80, 2.66e-195j)
