Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 37
-------------------------------------------------
Trying to find an order 37 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^39 - 719337143179/50921776010*t^37 + 1138882587206517/18586448243650*t^35 - 6120390042446661/37703937865690*t^33 + 127316465995907298/433595285455435*t^31 - 485154115147516914/1263081918500615*t^29 + 141784104380718604266/377661493631683885*t^27 - 40578338118322482786/145254420627570725*t^25 + 396410479261033767651/2480945504318907983*t^23 - 7597424653628052969/107867195839952521*t^21 + 21683916434395443327/909166364936742677*t^19 - 5589532114854124779/909166364936742677*t^17 + 286179231557916214614/240929086708236809405*t^15 - 8096507554684875606/48185817341647361881*t^13 + 93011732328260574/5529520022811992347*t^11 - 1878367983995698074/1656297572206177230029*t^9 + 10607594094014356989/221943874675627748823886*t^7 - 7614814142874297249/6816847579322852285305070*t^5 + 652220715343207527/55898150150447388739501574*t^3 - 24123735282476247/726675951955816053613520462*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:
| (0.97497416609166870994 + 1.648848391412793082e-864j)  +/-  (2.26e-242, 2.26e-242j)
| (-0.97497416609166870994 + 1.0395479170130982032e-865j)  +/-  (2.31e-242, 2.31e-242j)
| (-0.89243059402220045489 + 2.2346457583787878218e-876j)  +/-  (7.15e-243, 7.15e-243j)
| (-0.99805972727865697262 - 7.2838429529077360172e-882j)  +/-  (6.48e-243, 6.48e-243j)
| (0.89243059402220045489 - 3.874511175645085953e-896j)  +/-  (7.22e-243, 7.22e-243j)
| (0.92612862212984906786 + 5.9141096983360503336e-895j)  +/-  (1.39e-242, 1.39e-242j)
| (0.98979121281579281394 + 6.2161457623818615613e-896j)  +/-  (1.78e-242, 1.78e-242j)
| (-0.85284043837638038989 + 9.9799568694736090002e-903j)  +/-  (2.8e-243, 2.8e-243j)
| (-0.95370544847571463139 - 4.2818762895873799451e-925j)  +/-  (2.05e-242, 2.05e-242j)
| (0.95370544847571463139 - 1.3335860514643515956e-942j)  +/-  (2.01e-242, 2.01e-242j)
| (0.85284043837638038989 - 4.8017288466641634061e-947j)  +/-  (2.96e-243, 2.96e-243j)
| (-0.98979121281579281394 + 7.0044883901170984953e-946j)  +/-  (1.74e-242, 1.74e-242j)
| (-0.92612862212984906786 - 6.1081016091585338679e-968j)  +/-  (1.37e-242, 1.37e-242j)
| (-0.75710437752483061685 - 2.1929973769375793428e-977j)  +/-  (2.27e-244, 2.27e-244j)
| (0.99805972727865697262 + 7.2983065987027177255e-980j)  +/-  (6.52e-243, 6.52e-243j)
| (0.80762830792194421224 - 2.1504440852926908223e-983j)  +/-  (8.63e-244, 8.63e-244j)
| (0.64155731029066896706 - 8.0439864656030132735e-986j)  +/-  (7.64e-246, 7.64e-246j)
| (-0.3648469121632421067 + 2.4529687651675817863e-988j)  +/-  (9.56e-250, 9.56e-250j)
| (-0.80762830792194421224 - 2.0399348303934722153e-984j)  +/-  (8.64e-244, 8.64e-244j)
| (-0.28943444351012874543 + 3.9219756299055821798e-995j)  +/-  (7.11e-251, 7.11e-251j)
| (0.43843410783338056142 - 6.7991928399248849589e-994j)  +/-  (1.04e-248, 1.04e-248j)
| (0.75710437752483061685 + 6.3863866245048407637e-991j)  +/-  (2.41e-244, 2.41e-244j)
| (0.066000076630996697119 + 7.552084965100314937e-997j)  +/-  (1.86e-254, 1.86e-254j)
| (-0.70161798483855085801 - 5.4315325175333363853e-991j)  +/-  (4.89e-245, 4.89e-245j)
| (-0.57735026918962576451 + 3.4276886873042031588e-994j)  +/-  (1.06e-246, 1.06e-246j)
| (-6.1374801202451919899e-999 + 2.6672594244549482751e-999j)  +/-  (2.61e-997, 2.61e-997j)
| (0.70161798483855085801 + 1.3558145839654860768e-994j)  +/-  (4.78e-245, 4.78e-245j)
| (0.3648469121632421067 - 2.422504262628175852e-999j)  +/-  (9.13e-250, 9.13e-250j)
| (-0.2131957139315199846 + 5.9847436562660670053e-1001j)  +/-  (4.15e-252, 4.15e-252j)
| (-0.64155731029066896706 + 1.7308138137234066851e-998j)  +/-  (8.07e-246, 8.07e-246j)
| (-0.13776450408107376978 - 6.2254127477911943943e-1007j)  +/-  (2.47e-253, 2.47e-253j)
| (0.28943444351012874543 - 3.0730513492694095478e-1004j)  +/-  (6.48e-251, 6.48e-251j)
| (0.50946800915894714745 + 2.2384091542138883654e-1000j)  +/-  (1.21e-247, 1.21e-247j)
| (-0.066000076630996697119 - 1.8373322390648979194e-1007j)  +/-  (1.65e-254, 1.65e-254j)
| (-0.50946800915894714745 + 1.8375098771634577957e-1001j)  +/-  (1.15e-247, 1.15e-247j)
| (-0.43843410783338056142 + 1.3331254661676561731e-1002j)  +/-  (1.09e-248, 1.09e-248j)
| (0.13776450408107376978 - 6.1468987302177350397e-1008j)  +/-  (2.48e-253, 2.48e-253j)
| (0.57735026918962576451 - 1.0848566297003037616e-1001j)  +/-  (1.12e-246, 1.12e-246j)
| (0.2131957139315199846 - 4.820422363722268009e-1006j)  +/-  (4.15e-252, 4.15e-252j)
-------------------------------------------------
The weights are:
| (0.018063123703454484935 - 6.167147721870960581e-865j)  +/-  (3.87e-79, 8.11e-197j)
| (0.018063123703454484935 + 2.3668752784178530344e-866j)  +/-  (1.41e-79, 2.96e-197j)
| (0.036685730545497272314 - 2.1458669422635793749e-866j)  +/-  (1.06e-79, 2.22e-197j)
| (0.0049777232939206041607 - 1.3853830931006622784e-866j)  +/-  (1.82e-80, 3.82e-198j)
| (0.036685730545497272314 + 1.135542892721157305e-864j)  +/-  (4.2e-80, 8.78e-198j)
| (0.03067212844370127851 - 1.4159692205751028122e-864j)  +/-  (4.25e-80, 8.9e-198j)
| (0.011554563297789438801 - 1.0158855515248952093e-864j)  +/-  (9.32e-81, 1.95e-198j)
| (0.042449537298980987958 - 3.779670767559521041e-867j)  +/-  (4.16e-81, 8.7e-199j)
| (0.024450354904575835068 - 1.1717065171335172237e-865j)  +/-  (8.4e-81, 1.76e-198j)
| (0.024450354904575835068 + 2.2508796471905297312e-864j)  +/-  (7.91e-81, 1.66e-198j)
| (0.042449537298980987958 - 9.9764542233190210954e-865j)  +/-  (9.46e-82, 1.98e-199j)
| (0.011554563297789438801 + 7.1675544541454066832e-866j)  +/-  (4.24e-81, 8.88e-199j)
| (0.03067212844370127851 + 5.2977420269305182616e-866j)  +/-  (2.12e-81, 4.45e-199j)
| (0.053066618333711396142 - 5.5400501162182053514e-866j)  +/-  (5.86e-84, 1.23e-201j)
| (0.0049777232939206041607 + 1.8547858473906144137e-865j)  +/-  (2.4e-82, 5.02e-200j)
| (0.047923012716701274463 + 9.2013038161977319637e-865j)  +/-  (1.66e-83, 3.48e-201j)
| (0.062208599481103729416 - 8.5098792546157886077e-865j)  +/-  (2.57e-85, 5.37e-203j)
| (0.074636715539018447984 - 4.198630624143135822e-865j)  +/-  (6.6e-87, 1.38e-204j)
| (0.047923012716701274463 + 2.8536855949229180553e-866j)  +/-  (3.12e-84, 6.54e-202j)
| (0.076027177980736611061 + 5.8281559406152357768e-865j)  +/-  (3.88e-87, 8.13e-205j)
| (0.072418391632614837854 + 9.5209427274245854074e-865j)  +/-  (5.73e-88, 1.2e-205j)
| (0.053066618333711396142 - 8.7603888514684602747e-865j)  +/-  (9.69e-86, 2.03e-203j)
| (0.068787441884610494994 - 2.0779432698957829345e-864j)  +/-  (8.15e-89, 1.71e-206j)
| (0.057841482180648405074 + 8.6331801554027722938e-866j)  +/-  (4.38e-87, 9.18e-205j)
| (0.066127096133391460677 + 1.696834124509817041e-865j)  +/-  (3.82e-88, 8e-206j)
| (0.064358860366229614461 + 2.1730002590305654437e-864j)  +/-  (3.19e-89, 6.68e-207j)
| (0.057841482180648405074 + 8.5447926855733786154e-865j)  +/-  (4.06e-88, 8.49e-206j)
| (0.074636715539018447984 - 1.0394459405273820001e-864j)  +/-  (9.23e-90, 1.93e-207j)
| (0.076190831838044574385 - 8.347231927227277067e-865j)  +/-  (1.03e-89, 2.16e-207j)
| (0.062208599481103729416 - 1.234735270391717281e-865j)  +/-  (3.73e-89, 7.8e-207j)
| (0.074189546236818419583 + 1.2334729028604220535e-864j)  +/-  (4.17e-90, 8.72e-208j)
| (0.076027177980736611061 + 1.174810921287780477e-864j)  +/-  (2.55e-91, 5.33e-209j)
| (0.06955049437156563939 - 8.9673433758598967534e-865j)  +/-  (3.7e-91, 7.74e-209j)
| (0.068787441884610494994 - 1.7815196646019403333e-864j)  +/-  (1.32e-90, 2.76e-208j)
| (0.06955049437156563939 - 2.2920208124988163483e-865j)  +/-  (2.03e-91, 4.25e-209j)
| (0.072418391632614837854 + 3.0878549274204995808e-865j)  +/-  (1.92e-91, 4.01e-209j)
| (0.074189546236818419583 + 1.704475069355965769e-864j)  +/-  (1.31e-92, 2.75e-210j)
| (0.066127096133391460677 + 8.6454014327537406818e-865j)  +/-  (1.81e-93, 3.98e-211j)
| (0.076190831838044574385 - 1.3855690404718294248e-864j)  +/-  (6.72e-93, 1.4e-210j)
