Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 33
-------------------------------------------------
Trying to find an order 33 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 231/16*t^39 - 150613711350408922874726569775037/1075249368990431120355066348400*t^37 + 5530081953701444240315045097159907/8817044825721535186911544056880*t^35 - 3046583785412674557784528114835901919/1772226009970028572569220355432880*t^33 + 476333612665992725575217034096739567/147685500830835714380768362952740*t^31 - 313052058558355566368043938639232083161/71332096901293650045911119306173420*t^29 + 1439252044091724777816650359140147740111/321521520515683200945855537759353100*t^27 - 294157233292133870971857640837418952561/84310087601890261581357674345785924*t^25 + 353974788161888382240061175566613043417/168620175203780523162715348691571848*t^23 - 1115307311579986215185268164797549/1139995640706229494112859239496*t^21 + 136905234564858432398055468529875146949/388559534165233379461909281767535128*t^19 - 189000428080519232577942402667279727397/1942797670826166897309546408837675640*t^17 + 193311281769966367547039828558323155361/9519708587048217796816777403304610636*t^15 - 200498414412308054779631011653860599797/63918043370180890921484076850759528556*t^13 + 376568382784022836557848955277410793/1083356667291201541042102997470500484*t^11 - 217711772672660379780820169335392503287/8245427594753334928871445913747979183724*t^9 + 2894308772201385573317733675782120413707/2253750209232578213891528549757780976884560*t^7 - 16159244666218687553331284890150825971/450750041846515642778305709951556195376912*t^5 + 212528162596014950023634298032466217/450750041846515642778305709951556195376912*t^3 - 5838995399459618470155391738657779/3155250292925609499448139969660893367638384*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:
| (0.95798440349092435193 + 3.1667076708973446487e-906j)  +/-  (7.08e-242, 7.08e-242j)
| (0.82071670838585420189 + 3.7424255910090266763e-912j)  +/-  (2.58e-243, 2.58e-243j)
| (-0.93246951420315202781 + 4.9355357534300283555e-919j)  +/-  (4.41e-242, 4.41e-242j)
| (0.99826785189393829173 + 1.3452410340683346583e-931j)  +/-  (2.09e-242, 2.09e-242j)
| (0.90097442617095289075 - 1.5039035453974333575e-934j)  +/-  (2.05e-242, 2.05e-242j)
| (0.97744452128576731568 + 9.4321761324414864105e-936j)  +/-  (7.49e-242, 7.49e-242j)
| (-0.99826785189393829173 - 9.4885251597327320503e-932j)  +/-  (2.11e-242, 2.11e-242j)
| (-0.90097442617095289075 - 5.2872404151984844385e-947j)  +/-  (2.34e-242, 2.34e-242j)
| (-0.99085239113474323295 - 3.5266314800665055228e-953j)  +/-  (5.68e-242, 5.68e-242j)
| (0.53288159212822578975 + 2.7787668003806546214e-978j)  +/-  (3.25e-247, 3.25e-247j)
| (0.86365062629542694795 + 1.2620337497539004055e-973j)  +/-  (8.4e-243, 8.4e-243j)
| (-0.97744452128576731568 + 2.8184990525933018411e-971j)  +/-  (8.06e-242, 8.06e-242j)
| (-0.86365062629542694795 - 3.8652081519874578259e-985j)  +/-  (8.07e-243, 8.07e-243j)
| (-0.7191592891073087274 - 1.5993277818377434152e-987j)  +/-  (1.35e-244, 1.35e-244j)
| (0.99085239113474323295 + 4.1187781220759569506e-984j)  +/-  (5.97e-242, 5.97e-242j)
| (0.7191592891073087274 + 6.9657336515193371338e-990j)  +/-  (1.31e-244, 1.31e-244j)
| (0.93246951420315202781 - 1.0808645435496882478e-987j)  +/-  (3.9e-242, 3.9e-242j)
| (-0.08023689112013960146 - 6.7062063241913592971e-996j)  +/-  (1.83e-254, 1.83e-254j)
| (-0.77244666545108456192 - 3.6325271837700968307e-987j)  +/-  (6.37e-244, 6.37e-244j)
| (-0.82071670838585420189 - 5.3347651156407934656e-994j)  +/-  (2.53e-243, 2.53e-243j)
| (0.31573592759400667365 + 2.4140736477970345565e-1008j)  +/-  (1.41e-250, 1.41e-250j)
| (0.77244666545108456192 - 4.9540915228346242569e-1009j)  +/-  (6.32e-244, 6.32e-244j)
| (-0.95798440349092435193 + 1.0375446967602750077e-1017j)  +/-  (6.35e-242, 6.35e-242j)
| (-0.5989808588623021286 + 1.7386809861706633759e-1029j)  +/-  (3.14e-246, 3.14e-246j)
| (-0.53288159212822578975 - 2.475448003599826937e-1032j)  +/-  (3.37e-247, 3.37e-247j)
| (-0.15994964980581372592 - 2.9644110815517458103e-1032j)  +/-  (4.25e-253, 4.25e-253j)
| (0.46334005130147626441 - 1.8460398459610856665e-1035j)  +/-  (2.92e-248, 2.92e-248j)
| (0.39080330021952786731 + 3.5709595704551504118e-1037j)  +/-  (2.26e-249, 2.26e-249j)
| (-0.31573592759400667365 + 2.390046856513226043e-1033j)  +/-  (1.58e-250, 1.58e-250j)
| (-0.66120938646626451366 - 1.7848824223822175147e-1033j)  +/-  (2.01e-245, 2.01e-245j)
| (-0.23861918608319690863 + 3.8924625678246545678e-1036j)  +/-  (7.81e-252, 7.81e-252j)
| (0.15994964980581372592 - 1.9303635727599905321e-1039j)  +/-  (4.78e-253, 4.78e-253j)
| (0.66120938646626451366 + 7.9427980753440232156e-1036j)  +/-  (2.03e-245, 2.03e-245j)
| (0.08023689112013960146 + 5.043035285704917849e-1043j)  +/-  (1.83e-254, 1.83e-254j)
| (-0.46334005130147626441 + 5.4793215444343337802e-1042j)  +/-  (2.8e-248, 2.8e-248j)
| (-0.39080330021952786731 - 2.8130530088836650039e-1043j)  +/-  (2.31e-249, 2.31e-249j)
| (1.7067908502583420576e-1044 + 2.4721422636858694097e-1045j)  +/-  (6.73e-1043, 6.73e-1043j)
| (0.5989808588623021286 + 1.6572540208533663207e-1041j)  +/-  (3.04e-246, 3.04e-246j)
| (0.23861918608319690863 + 1.1658781014084559157e-1047j)  +/-  (7.57e-252, 7.57e-252j)
-------------------------------------------------
The weights are:
| (0.022493244906763526281 - 6.0580392648618861356e-907j)  +/-  (5.93e-77, 8.31e-194j)
| (0.045651703345322925314 - 1.1366822109604602808e-906j)  +/-  (1.82e-77, 2.55e-194j)
| (0.028524069724802087871 + 4.9770288813803582602e-908j)  +/-  (7.04e-79, 9.88e-196j)
| (0.0044478521449955618373 - 1.8913674962521771108e-907j)  +/-  (6.98e-78, 9.79e-195j)
| (0.034440677126724717651 - 2.0332684590268531663e-906j)  +/-  (1.31e-77, 1.84e-194j)
| (0.016427742137823899594 - 2.4647264281176837548e-906j)  +/-  (2e-77, 2.81e-194j)
| (0.0044478521449955618373 + 3.8947367616133412526e-909j)  +/-  (4.19e-80, 5.88e-197j)
| (0.034440677126724717651 - 6.2355773614122683196e-908j)  +/-  (4.84e-80, 6.79e-197j)
| (0.010398612825897049318 - 1.3235004446615038025e-908j)  +/-  (3.1e-80, 4.35e-197j)
| (0.067893410884735351786 + 5.5458431692174139289e-907j)  +/-  (3.32e-82, 4.65e-199j)
| (0.040170289225756930963 + 1.4475834794699261484e-906j)  +/-  (7.48e-80, 1.05e-196j)
| (0.016427742137823899594 + 2.478206046015322476e-908j)  +/-  (1.69e-80, 2.36e-197j)
| (0.040170289225756930963 + 7.4963703177412180991e-908j)  +/-  (1.96e-81, 2.75e-198j)
| (0.055680398643964244683 - 1.1425262752344298942e-907j)  +/-  (6.16e-83, 8.63e-200j)
| (0.010398612825897049318 + 7.8474042876841346709e-907j)  +/-  (2.4e-80, 3.37e-197j)
| (0.055680398643964244683 - 8.0233747190948990141e-907j)  +/-  (6.93e-83, 9.72e-200j)
| (0.028524069724802087871 + 3.6875842101099115361e-906j)  +/-  (1.73e-80, 2.43e-197j)
| (0.080061922500306173414 + 2.6915481955162984369e-907j)  +/-  (1.24e-85, 1.74e-202j)
| (0.050835104279058173825 + 1.0077447654988979503e-907j)  +/-  (1.1e-83, 1.54e-200j)
| (0.045651703345322925314 - 8.772125853548281052e-908j)  +/-  (2.62e-83, 3.67e-200j)
| (0.076173601197474490907 - 4.1379587646435331338e-907j)  +/-  (2.04e-86, 2.86e-203j)
| (0.050835104279058173825 + 9.3988324728966016487e-907j)  +/-  (3.28e-83, 4.6e-200j)
| (0.022493244906763526281 - 3.7176813600839575517e-908j)  +/-  (3.8e-83, 5.33e-200j)
| (0.064233679998586792669 - 1.4286338954885352856e-907j)  +/-  (1.84e-86, 2.58e-203j)
| (0.067893410884735351786 + 1.5813309581394738536e-907j)  +/-  (5.23e-87, 7.33e-204j)
| (0.079277004220481249065 - 2.4752648452541308258e-907j)  +/-  (2.78e-88, 3.89e-205j)
| (0.071115143957972202045 - 5.0034496079512827248e-907j)  +/-  (7.65e-88, 1.07e-204j)
| (0.073880914144392416721 + 4.5403947075116723533e-907j)  +/-  (4.02e-88, 5.63e-205j)
| (0.076173601197474490907 - 2.0864841406154116642e-907j)  +/-  (2.1e-89, 2.94e-206j)
| (0.060155338115715182322 + 1.2825698171952132142e-907j)  +/-  (9.33e-88, 1.31e-204j)
| (0.077977081176182980382 + 2.2744473258789822367e-907j)  +/-  (2.04e-89, 2.86e-206j)
| (0.079277004220481249065 - 3.4674969404394197178e-907j)  +/-  (8.6e-91, 1.21e-207j)
| (0.060155338115715182322 + 6.997660552028550919e-907j)  +/-  (3.32e-90, 4.66e-207j)
| (0.080061922500306173414 + 3.1836293623200909621e-907j)  +/-  (6.45e-91, 9.04e-208j)
| (0.071115143957972202045 - 1.7412824570061541633e-907j)  +/-  (1.33e-90, 1.86e-207j)
| (0.073880914144392416721 + 1.909288979698189858e-907j)  +/-  (9.75e-91, 1.37e-207j)
| (0.080324418886088086703 - 2.9264369458388649561e-907j)  +/-  (1.4e-91, 1.97e-208j)
| (0.064233679998586792669 - 6.195856986517203664e-907j)  +/-  (3.98e-92, 5.73e-209j)
| (0.077977081176182980382 + 3.7833524407047812089e-907j)  +/-  (5.46e-92, 7.56e-209j)
