Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 49
-------------------------------------------------
Trying to find an order 49 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^51 - 1311924829953575/68814769822942*t^49 + 380575186859220150/3337516336412687*t^47 - 575681526358536850/1349208731741299*t^45 + 4258608246497021025/3802315516725479*t^43 - 108349810168869404415/49430101717431227*t^41 + 768408531702235495050/231541002781651537*t^39 - 23100669044846650950/5803534209738889*t^37 + 67473751695280553452725/17561494518669878114*t^35 - 258549085442468673552525/85741414414682346086*t^33 + 747120726368171386195580/385836364866070557387*t^31 - 334468546411409695441100/327753471230318000361*t^29 + 164668381327734380396650/372960846572430827997*t^27 - 498776890614658194070/3187699543354109641*t^25 + 136745655061537239213300/3025126866643050049309*t^23 - 206304356054738771644220/19525818866514232136449*t^21 + 77202406907926255550525/39051637733028464272898*t^19 - 763660460334642043702725/2616459728112907106284166*t^17 + 567237514227663990522350/17006988232733896190847079*t^15 - 146707138181941109129350/51020964698201688572541237*t^13 + 14414124630397064180545/79802021707443666741667063*t^11 - 111237778477571565664075/14124957842217529013275070151*t^9 + 19858494649718529593950/89458066334044350417408777623*t^7 - 3559397495740675821750/984038729674487854591496553853*t^5 + 2910384321567147228475/104308105345495712586698634708418*t^3 - 6009692764948206187/93328304782811953367046146844374*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:
| (0.99448265877873287275 - 2.8067367033204919292e-901j)  +/-  (1.54e-237, 1.54e-237j)
| (-0.99448265877873287275 + 2.6205564775877245007e-901j)  +/-  (1.56e-237, 1.56e-237j)
| (-0.94098509631180766787 - 5.2081229237768653934e-908j)  +/-  (1.03e-237, 1.03e-237j)
| (-0.99895283102519602224 - 8.0749560841696371381e-909j)  +/-  (4.78e-238, 4.78e-238j)
| (0.91881061847707576811 + 1.5049339328291233799e-919j)  +/-  (5.49e-238, 5.49e-238j)
| (0.71698012755080353092 + 3.6824001511401091646e-922j)  +/-  (3.39e-241, 3.39e-241j)
| (0.97483424181693001728 - 1.3094105644427200019e-917j)  +/-  (2.12e-237, 2.12e-237j)
| (-0.91881061847707576811 - 3.9948414346036011386e-916j)  +/-  (5.12e-238, 5.12e-238j)
| (-0.71698012755080353092 - 1.7261532471135882991e-933j)  +/-  (3.75e-241, 3.75e-241j)
| (-0.95967333701572132938 + 4.4727462938155464772e-928j)  +/-  (1.69e-237, 1.69e-237j)
| (0.94098509631180766787 + 1.2903976761202877036e-943j)  +/-  (1.07e-237, 1.07e-237j)
| (-0.97483424181693001728 + 4.6192095932526194862e-949j)  +/-  (2.15e-237, 2.15e-237j)
| (-0.89320779285831346075 + 1.4867658554541211499e-963j)  +/-  (2.5e-238, 2.5e-238j)
| (-0.86425181881350161576 + 1.1997463489674733806e-971j)  +/-  (8.81e-239, 8.81e-239j)
| (0.12290587046950771602 + 7.4371146183409812079e-990j)  +/-  (4.54e-253, 4.54e-253j)
| (0.83203493850022372349 + 2.0352270579582690409e-974j)  +/-  (3.21e-239, 3.21e-239j)
| (0.86425181881350161576 - 1.0661892376699160677e-973j)  +/-  (8.98e-239, 8.98e-239j)
| (-0.47289764915330247349 + 1.9828383383108827787e-985j)  +/-  (9.96e-246, 9.96e-246j)
| (-0.75826802779880510645 + 2.2423535113934940868e-980j)  +/-  (1.89e-240, 1.89e-240j)
| (0.41784438577047846592 - 3.5302514066488069352e-986j)  +/-  (8.46e-247, 8.46e-247j)
| (0.98644187498673559376 + 7.7472712779417035248e-975j)  +/-  (2.28e-237, 2.28e-237j)
| (0.79666570562588532082 + 7.4750522136430859347e-990j)  +/-  (7.36e-240, 7.36e-240j)
| (-0.98644187498673559376 - 8.0471954072661303771e-1000j)  +/-  (2.24e-237, 2.24e-237j)
| (-0.83203493850022372349 - 1.5751220844979879017e-1013j)  +/-  (2.8e-239, 2.8e-239j)
| (-0.79666570562588532082 + 3.5029351887977649848e-1014j)  +/-  (7.55e-240, 7.55e-240j)
| (0.36118478031656857577 + 9.890114308619651312e-1023j)  +/-  (5.31e-248, 5.31e-248j)
| (0.75826802779880510645 + 1.1499878769457108445e-1013j)  +/-  (1.8e-240, 1.8e-240j)
| (0.89320779285831346075 - 4.3136566433238886359e-1010j)  +/-  (2.52e-238, 2.52e-238j)
| (0.99895283102519602224 + 7.9829038866255623396e-1013j)  +/-  (4.99e-238, 4.99e-238j)
| (-0.62635187716889749273 - 1.3126062119213250897e-1022j)  +/-  (8.57e-243, 8.57e-243j)
| (-0.12290587046950771602 - 7.7744962789911536259e-1033j)  +/-  (4.25e-253, 4.25e-253j)
| (0.95967333701572132938 + 4.7902407223866037905e-1024j)  +/-  (1.65e-237, 1.65e-237j)
| (0.62635187716889749273 + 1.2864718984202668649e-1029j)  +/-  (8.1e-243, 8.1e-243j)
| (0.061571467900405039683 + 3.948388796534550822e-1043j)  +/-  (2.17e-254, 2.17e-254j)
| (-0.67295349699807141967 + 1.3173697862348398446e-1031j)  +/-  (5.61e-242, 5.61e-242j)
| (-0.41784438577047846592 - 1.7684545720187106186e-1036j)  +/-  (8.3e-247, 8.3e-247j)
| (-0.24392092961593707882 - 1.7501599221917765268e-1040j)  +/-  (1.86e-250, 1.86e-250j)
| (0.57735026918962576451 - 3.3856972584846957976e-1031j)  +/-  (1.02e-243, 1.02e-243j)
| (0.30313601462065777769 - 4.5599335719896803472e-1038j)  +/-  (3.24e-249, 3.24e-249j)
| (-0.36118478031656857577 + 9.6181379494451632553e-1039j)  +/-  (5.48e-248, 5.48e-248j)
| (-0.5261339734708184257 - 1.7715420789803847484e-1034j)  +/-  (1.16e-244, 1.16e-244j)
| (-1.2745422060259177984e-1057 + 9.00249103901393434e-1058j)  +/-  (7.96e-1056, 7.96e-1056j)
| (0.67295349699807141967 - 6.8965049929704258675e-1035j)  +/-  (6.2e-242, 6.2e-242j)
| (0.5261339734708184257 + 9.6818909638041903618e-1039j)  +/-  (1.09e-244, 1.09e-244j)
| (-0.061571467900405039683 - 2.642459130197580359e-1048j)  +/-  (2.04e-254, 2.04e-254j)
| (-0.57735026918962576451 - 7.6539563950510271055e-1040j)  +/-  (1.05e-243, 1.05e-243j)
| (-0.30313601462065777769 - 6.6841665493178771717e-1046j)  +/-  (3.4e-249, 3.4e-249j)
| (0.24392092961593707882 + 5.3930002963146661955e-1047j)  +/-  (1.84e-250, 1.84e-250j)
| (0.47289764915330247349 + 7.6278611739752133799e-1042j)  +/-  (1.02e-245, 1.02e-245j)
| (0.18376709456196954465 + 5.8158369313436184476e-1049j)  +/-  (9.65e-252, 9.65e-252j)
| (-0.18376709456196954465 - 2.5497256356856110829e-1048j)  +/-  (9.65e-252, 9.65e-252j)
-------------------------------------------------
The weights are:
| (0.0062552640209454604186 + 1.5430848796964294422e-901j)  +/-  (2.41e-61, 1.02e-174j)
| (0.0062552640209454604186 + 1.4418593370398573659e-901j)  +/-  (1.13e-61, 4.78e-175j)
| (0.020439574476188735197 + 1.6092108991077475635e-901j)  +/-  (4.14e-62, 1.74e-175j)
| (0.0026873674285426757133 + 1.0598903508981148252e-901j)  +/-  (5.52e-62, 2.32e-175j)
| (0.023899740774263800333 - 1.4797827343230310837e-901j)  +/-  (5.67e-63, 2.39e-176j)
| (0.042683568317369158837 - 8.146175306906362076e-902j)  +/-  (2.59e-63, 1.09e-176j)
| (0.013387451287780755236 + 2.6555666523625868943e-901j)  +/-  (5.21e-63, 2.2e-176j)
| (0.023899740774263800333 - 1.3888629249926006558e-901j)  +/-  (6.77e-63, 2.85e-176j)
| (0.042683568317369158837 - 7.7529564590266687277e-902j)  +/-  (1.77e-64, 7.47e-178j)
| (0.016930083877690166188 - 1.9299015552222038114e-901j)  +/-  (6.45e-63, 2.72e-176j)
| (0.020439574476188735197 + 1.7171824615609434235e-901j)  +/-  (2.97e-65, 1.25e-178j)
| (0.013387451287780755236 + 2.482781414058100835e-901j)  +/-  (4.05e-63, 1.71e-176j)
| (0.027293371986130629562 + 1.2240789497808766845e-901j)  +/-  (2.73e-64, 1.15e-177j)
| (0.030603189657797319222 - 1.0949312046820511169e-901j)  +/-  (5.23e-65, 2.21e-178j)
| (0.061137038606701205139 + 5.2203871559673430321e-902j)  +/-  (2.24e-69, 9.43e-183j)
| (0.033812462388680810321 + 1.049400203164099451e-901j)  +/-  (1.31e-68, 5.54e-182j)
| (0.030603189657797319222 - 1.1622219775644843433e-901j)  +/-  (1.35e-68, 5.67e-182j)
| (0.054179298456635715659 + 5.9304889121915825473e-902j)  +/-  (1.71e-70, 7.22e-184j)
| (0.039866966469195880969 + 8.3458287938350298429e-902j)  +/-  (2.74e-68, 1.16e-181j)
| (0.055892113440899137846 - 5.8895830067496688577e-902j)  +/-  (3.7e-71, 1.56e-184j)
| (0.0098256108749194287354 - 4.199296450260863078e-901j)  +/-  (4.16e-69, 1.75e-182j)
| (0.036905334608121922781 - 9.5662661707210247442e-902j)  +/-  (4.01e-69, 1.69e-182j)
| (0.0098256108749194287354 - 3.9229213857617777108e-901j)  +/-  (3.08e-66, 1.3e-179j)
| (0.033812462388680810321 + 9.9084336875982838406e-902j)  +/-  (4.34e-68, 1.83e-181j)
| (0.036905334608121922781 - 9.0545504559419121123e-902j)  +/-  (1.45e-68, 6.1e-182j)
| (0.057390885071070906752 + 5.6913309258542186866e-902j)  +/-  (8.96e-74, 3.78e-187j)
| (0.039866966469195880969 + 8.7941474417453938477e-902j)  +/-  (1.87e-71, 7.89e-185j)
| (0.027293371986130629562 + 1.3019073357272798618e-901j)  +/-  (6.57e-71, 2.77e-184j)
| (0.0026873674285426757133 + 1.1355420670129174489e-901j)  +/-  (5.41e-72, 2.28e-185j)
| (0.047831670661777395111 - 6.8341694865379219904e-902j)  +/-  (6.02e-74, 2.53e-187j)
| (0.061137038606701205139 + 5.176309178917599198e-902j)  +/-  (1.42e-76, 5.97e-190j)
| (0.016930083877690166188 - 2.0620493377664970402e-901j)  +/-  (2.75e-71, 1.16e-184j)
| (0.047831670661777395111 - 7.1360075713523417908e-902j)  +/-  (8.33e-75, 3.51e-188j)
| (0.061492398496685929738 - 5.1718128954529324254e-902j)  +/-  (1.94e-76, 8.18e-190j)
| (0.0453423861483541731 + 7.254470239668550049e-902j)  +/-  (8.49e-74, 3.58e-187j)
| (0.055892113440899137846 - 5.722216789412190361e-902j)  +/-  (1.17e-76, 4.93e-190j)
| (0.059722735535486942133 + 5.3069009457604948326e-902j)  +/-  (9.66e-78, 4.07e-191j)
| (0.050140646238799260725 + 6.7429014256926272205e-902j)  +/-  (4.21e-77, 1.77e-190j)
| (0.058669490653935488641 - 5.5282257786666381051e-902j)  +/-  (8.86e-78, 3.73e-191j)
| (0.057390885071070906752 + 5.5512595113222635644e-902j)  +/-  (1.66e-77, 7e-191j)
| (0.05225948655274871125 - 6.1809068960821585903e-902j)  +/-  (7e-77, 2.95e-190j)
| (0.061611010541491883114 + 5.1484313250398040722e-902j)  +/-  (1.54e-78, 6.48e-192j)
| (0.0453423861483541731 + 7.5992762510341122832e-902j)  +/-  (1.92e-77, 8.08e-191j)
| (0.05225948655274871125 - 6.4094071136195753231e-902j)  +/-  (1.95e-78, 8.2e-192j)
| (0.061492398496685929738 - 5.1498906741935414162e-902j)  +/-  (4.08e-79, 1.72e-192j)
| (0.050140646238799260725 + 6.4795681904436038732e-902j)  +/-  (3.33e-78, 1.41e-191j)
| (0.058669490653935488641 - 5.4138091072513044203e-902j)  +/-  (4.2e-79, 1.77e-192j)
| (0.059722735535486942133 + 5.396963307739093428e-902j)  +/-  (2.49e-80, 1.05e-193j)
| (0.054179298456635715659 + 6.1271797819063186353e-902j)  +/-  (3.99e-80, 1.68e-193j)
| (0.060546358698532448837 - 5.2949881334452249365e-902j)  +/-  (1.94e-80, 8.22e-194j)
| (0.060546358698532448837 - 5.2282810277113026357e-902j)  +/-  (1.8e-80, 7.39e-194j)
