Starting with polynomial:
P : 262144*t^18 - 20054016*t^16 + 601620480*t^14 - 9124577280*t^12 + 75277762560*t^10 - 338749931520*t^8 + 790416506880*t^6 - 846874828800*t^4 + 317578060800*t^2 - 17643225600
Extension levels are: 18 33
-------------------------------------------------
Trying to find an order 33 Kronrod extension for:
P1 : 262144*t^18 - 20054016*t^16 + 601620480*t^14 - 9124577280*t^12 + 75277762560*t^10 - 338749931520*t^8 + 790416506880*t^6 - 846874828800*t^4 + 317578060800*t^2 - 17643225600
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 262144*t^51 - 9377899897872178789675982782464/72793935863433752742211*t^49 + 23309105506324942114427476559265792/800733294497771280164321*t^47 - 3218170169452052701831647337503129600/800733294497771280164321*t^45 + 304315578526503618173541244219550760960/800733294497771280164321*t^43 - 397848955032224449937625907522299881963520/15213932595457654323122099*t^41 + 20658296019918448602236412067514496219463680/15213932595457654323122099*t^39 - 828536328421686393144159881732042852179107840/15213932595457654323122099*t^37 + 26058548470743939138671380214002759544425190400/15213932595457654323122099*t^35 - 58992857285035782956091377062891106471355993600/1383084781405241302102009*t^33 + 1169635970560435540094054827169241824718561945600/1383084781405241302102009*t^31 - 18505382219964982898522706753352656212403650688000/1383084781405241302102009*t^29 + 8052058499155667638500448268650465933139247456000/47692578669146251796621*t^27 - 4251561444256463471045490242083005969515832336000/2510135719428750094559*t^25 + 640594848885418170519088482441073327659733126800000/47692578669146251796621*t^23 - 173107099023598232002361343168830679165247640760000/2073590376919402252027*t^21 + 833437376885257282046923832177971244110144867972500/2073590376919402252027*t^19 - 161081907615290683929330603152816489257875342738750/109136335627336960633*t^17 + 442095779148545398551956792518935280456796964862500/109136335627336960633*t^15 - 882858764004159468455349521307497959856396393981250/109136335627336960633*t^13 + 2475068440079125829428484766974657790049160499178125/218272671254673921266*t^11 - 4634105630149329197884358045032282862136099095353125/436545342509347842532*t^9 + 2695359896375877566306290269943450239478506400715625/436545342509347842532*t^7 - 1739658971115747863353666118650759326721184071640625/873090685018695685064*t^5 + 2038130691576074271044873485498626291159256795640625/6984725480149565480512*t^3 - 170915607399458308193589906631238400147868030265625/13969450960299130961024*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:
| (6.2200802927342835067 + 3.4914357950714571444e-945j)  +/-  (8.83e-244, 8.83e-244j)
| (7.735058185592460403 + 1.0929386108713585154e-947j)  +/-  (9.88e-246, 9.88e-246j)
| (6.6793307043441731582 - 4.3326036490192058421e-946j)  +/-  (2.71e-244, 2.71e-244j)
| (-3.5737690684862660795 + 1.2003278119549608231e-945j)  +/-  (2.91e-244, 2.91e-244j)
| (8.4079422898448998649 - 7.4374837447387009215e-949j)  +/-  (5.93e-247, 5.93e-247j)
| (-7.1773408350165496264 + 6.968242723953483651e-948j)  +/-  (6.57e-245, 6.57e-245j)
| (5.0483640088744667684 + 1.3252815475445563822e-942j)  +/-  (2.75e-242, 2.75e-242j)
| (-1.8355316042616288923 - 8.0750445956921119124e-956j)  +/-  (1.15e-247, 1.15e-247j)
| (-2.9613775055316068448 + 2.0315892787538498444e-953j)  +/-  (4.07e-245, 4.07e-245j)
| (-5.7891511153135372265 + 7.4717046242827133196e-949j)  +/-  (2.31e-243, 2.31e-243j)
| (-7.735058185592460403 + 1.6132275996118648713e-960j)  +/-  (9.37e-246, 9.37e-246j)
| (2.9613775055316068448 - 1.444625585953938777e-959j)  +/-  (3.99e-245, 3.99e-245j)
| (-1.5672349572983374418 + 6.3265202787945957722e-964j)  +/-  (1.61e-248, 1.61e-248j)
| (-4.9652839563344525002 + 7.2131454645511393461e-955j)  +/-  (2.57e-242, 2.57e-242j)
| (-4.248117873568126463 + 2.1828863843232445809e-969j)  +/-  (1.85e-243, 1.85e-243j)
| (-4.6072983042943318789 + 9.0910034663386427403e-974j)  +/-  (4.29e-243, 4.29e-243j)
| (5.3814687954650046007 + 9.2527212954966766556e-980j)  +/-  (5.81e-243, 5.81e-243j)
| (-8.4079422898448998649 - 1.0661636765359660127e-986j)  +/-  (5.92e-247, 5.92e-247j)
| (7.1773408350165496264 - 3.411336227765771121e-986j)  +/-  (6.52e-245, 6.52e-245j)
| (-6.2200802927342835067 + 2.9008271757553255012e-982j)  +/-  (8.38e-244, 8.38e-244j)
| (-6.6793307043441731582 + 7.300050015961899747e-991j)  +/-  (2.81e-244, 2.81e-244j)
| (3.9031028388476564829 + 1.5115358369427226748e-995j)  +/-  (7.25e-244, 7.25e-244j)
| (-5.3814687954650046007 - 1.6948051357047797547e-1002j)  +/-  (5.76e-243, 5.76e-243j)
| (4.248117873568126463 + 3.7415335685518000918e-1013j)  +/-  (1.73e-243, 1.73e-243j)
| (2.1077149648980958234 + 8.8777445939032428333e-1022j)  +/-  (5.6e-247, 5.6e-247j)
| (-2.6710189292890539181 - 1.0203071808886375343e-1020j)  +/-  (1.13e-245, 1.13e-245j)
| (-3.2606243705780590254 + 1.4440224175262432646e-1018j)  +/-  (1.13e-244, 1.13e-244j)
| (-5.0483640088744667684 - 7.412566904288842352e-1018j)  +/-  (2.74e-242, 2.74e-242j)
| (-3.9031028388476564829 + 1.2821125206798149323e-1023j)  +/-  (7.03e-244, 7.03e-244j)
| (-0.77668291926741166132 + 4.8947268514698791814e-1033j)  +/-  (1.84e-251, 1.84e-251j)
| (3.2606243705780590254 - 1.8498379979629214349e-1023j)  +/-  (1.22e-244, 1.22e-244j)
| (0.77668291926741166132 - 5.8925277236036725459e-1037j)  +/-  (1.75e-251, 1.75e-251j)
| (-2.1077149648980958234 + 3.2805216516167977527e-1038j)  +/-  (6.08e-247, 6.08e-247j)
| (1.8355316042616288923 + 8.2751383787551044592e-1034j)  +/-  (1.15e-247, 1.15e-247j)
| (5.7891511153135372265 - 2.8257434498705845438e-1032j)  +/-  (2.14e-243, 2.14e-243j)
| (-2.3862990891666860003 - 1.427602988430524747e-1051j)  +/-  (2.93e-246, 2.93e-246j)
| (1.037342795216794072 + 3.7414069203265248699e-1051j)  +/-  (2.08e-250, 2.08e-250j)
| (1.5672349572983374418 + 5.8070745418252593466e-1051j)  +/-  (1.66e-248, 1.66e-248j)
| (0.25826775051909675926 + 4.6651775347259244278e-1058j)  +/-  (9.75e-254, 9.75e-254j)
| (4.9652839563344525002 + 9.6082609729761544412e-1050j)  +/-  (2.53e-242, 2.53e-242j)
| (-0.51725444928975706618 - 5.9012190088350083311e-1074j)  +/-  (1.28e-252, 1.28e-252j)
| (3.5737690684862660795 + 6.2135566922084808846e-1065j)  +/-  (3.01e-244, 3.01e-244j)
| (2.6710189292890539181 + 5.5019069562122880567e-1067j)  +/-  (1.11e-245, 1.11e-245j)
| (1.3009208583896173657 + 1.2477134200679610361e-1072j)  +/-  (1.9e-249, 1.9e-249j)
| (-1.3009208583896173657 - 1.323681681433947263e-1072j)  +/-  (2.13e-249, 2.13e-249j)
| (-0.25826775051909675926 - 5.9401810536683469645e-1076j)  +/-  (9.75e-254, 9.75e-254j)
| (-1.037342795216794072 + 8.5753730378282108791e-1073j)  +/-  (2.03e-250, 2.03e-250j)
| (-6.9478672643231052646e-1084 + 3.3459502156730241869e-1083j)  +/-  (1.74e-1081, 1.74e-1081j)
| (0.51725444928975706618 + 1.7953038368881634912e-1075j)  +/-  (1.3e-252, 1.3e-252j)
| (2.3862990891666860003 - 5.6572528964722025083e-1068j)  +/-  (2.79e-246, 2.79e-246j)
| (4.6072983042943318789 - 1.7621376320198614319e-1072j)  +/-  (4.35e-243, 4.35e-243j)
-------------------------------------------------
The weights are:
| (3.9451901444990510484e-18 - 8.3073861912942885085e-960j)  +/-  (1.45e-74, 8.97e-195j)
| (3.5109490643464595678e-27 + 5.984719854464288818e-966j)  +/-  (1e-79, 6.19e-200j)
| (1.1322520533550885221e-20 + 1.1616593771246469476e-961j)  +/-  (1.94e-76, 1.2e-196j)
| (5.1453703021809113241e-07 + 3.1896826103880604194e-951j)  +/-  (1.45e-66, 8.95e-187j)
| (8.7084604756626214984e-32 - 8.5547515188948122838e-969j)  +/-  (6.27e-82, 3.88e-202j)
| (1.2517680139793147187e-23 - 1.5643573917897312252e-963j)  +/-  (1.21e-81, 7.48e-202j)
| (5.0463251604301211878e-13 - 1.1732996257543944863e-953j)  +/-  (1.71e-72, 1.06e-192j)
| (0.0052371189577844843129 + 4.9780336212597854641e-949j)  +/-  (4.12e-55, 2.54e-175j)
| (2.5764212637389215706e-05 + 1.9683217653120308499e-950j)  +/-  (5.95e-64, 3.67e-184j)
| (6.5835605101707188902e-16 + 3.1285811034913448118e-958j)  +/-  (1.16e-77, 7.16e-198j)
| (3.5109490643464595678e-27 + 9.7136899530983700579e-966j)  +/-  (1e-83, 6.18e-204j)
| (2.5764212637389215706e-05 + 4.8869618736123366309e-951j)  +/-  (6.17e-67, 3.81e-187j)
| (0.012930968236990281532 - 9.1212854936968817913e-949j)  +/-  (2.3e-55, 1.42e-175j)
| (3.2127452343085761126e-12 - 1.316070935276112936e-954j)  +/-  (4.96e-75, 3.07e-195j)
| (2.8905490725589162093e-09 - 2.9566651654969054572e-953j)  +/-  (1.29e-72, 7.94e-193j)
| (1.245228662890601536e-10 + 3.6717007053419191579e-954j)  +/-  (6.68e-74, 4.12e-194j)
| (5.9126819259484427532e-14 - 4.5788671709723709495e-956j)  +/-  (4.58e-79, 2.83e-199j)
| (8.7084604756626214984e-32 - 1.6804970449676059886e-968j)  +/-  (1.25e-87, 7.69e-208j)
| (1.2517680139793147187e-23 - 1.1560109247138967377e-963j)  +/-  (3.13e-84, 1.93e-204j)
| (3.9451901444990510484e-18 - 7.0893505791444967267e-960j)  +/-  (1.01e-80, 6.21e-201j)
| (1.1322520533550885221e-20 + 1.2899758320926694277e-961j)  +/-  (3.14e-82, 1.94e-202j)
| (4.6069018916750686408e-08 - 7.3028283744411828416e-953j)  +/-  (9.91e-78, 6.12e-198j)
| (5.9126819259484427532e-14 - 1.4457073753825604835e-956j)  +/-  (2.27e-78, 1.4e-198j)
| (2.8905490725589162093e-09 + 1.7291182578052277756e-953j)  +/-  (8.95e-79, 5.53e-199j)
| (0.0018267877961908283237 - 1.1861091053688426048e-949j)  +/-  (8.55e-72, 5.28e-192j)
| (0.00012925932431832978677 - 4.700564593834260817e-950j)  +/-  (1.12e-71, 6.9e-192j)
| (4.160588052861373373e-06 - 9.4152043442157581013e-951j)  +/-  (2.62e-73, 1.62e-193j)
| (5.0463251604301211878e-13 + 7.3852419643108276584e-955j)  +/-  (2.26e-77, 1.4e-197j)
| (4.6069018916750686408e-08 + 3.4711409319708146109e-952j)  +/-  (3.05e-75, 1.89e-195j)
| (0.080164979428248538625 + 3.1662276231405819423e-948j)  +/-  (3.93e-70, 2.43e-190j)
| (4.160588052861373373e-06 - 1.3319905893862937191e-951j)  +/-  (1.99e-78, 1.23e-198j)
| (0.080164979428248538625 + 2.5214142463104816098e-948j)  +/-  (6.37e-71, 3.94e-191j)
| (0.0018267877961908283237 - 2.455335005033800587e-949j)  +/-  (3.75e-72, 2.31e-192j)
| (0.0052371189577844843129 + 2.7284165032476500732e-949j)  +/-  (4.29e-74, 2.65e-194j)
| (6.5835605101707188902e-16 + 5.1342337910474376362e-958j)  +/-  (4.71e-85, 2.91e-205j)
| (0.00053512545869880297209 + 1.1065440386942202075e-949j)  +/-  (1.66e-73, 1.02e-193j)
| (0.050382511326072748808 - 1.6940593951028206377e-948j)  +/-  (2.44e-72, 1.51e-192j)
| (0.012930968236990281532 - 5.5695483562447647008e-949j)  +/-  (4.51e-74, 2.79e-194j)
| (0.13649793429595449916 + 4.0680009781079207657e-948j)  +/-  (1.22e-72, 7.5e-193j)
| (3.2127452343085761126e-12 + 1.3709878505241271093e-953j)  +/-  (1.61e-82, 9.93e-203j)
| (0.11192865268880192005 - 3.9146641002532870762e-948j)  +/-  (3.1e-73, 1.9e-193j)
| (5.1453703021809113241e-07 + 3.2231956208345756143e-952j)  +/-  (6.04e-80, 3.71e-200j)
| (0.00012925932431832978677 - 1.5806799428506654241e-950j)  +/-  (3.09e-78, 1.9e-198j)
| (0.027538474110044164258 + 1.0220887420581200849e-948j)  +/-  (2.21e-75, 1.36e-195j)
| (0.027538474110044164258 + 1.5203210374277890584e-948j)  +/-  (2.84e-75, 1.76e-195j)
| (0.13649793429595449916 + 4.381946255437394928e-948j)  +/-  (5.11e-75, 3.15e-195j)
| (0.050382511326072748808 - 2.3082220955867671075e-948j)  +/-  (3.58e-75, 2.21e-195j)
| (0.14559539990261382202 - 4.4419363905265038474e-948j)  +/-  (2.29e-75, 1.41e-195j)
| (0.11192865268880192005 - 3.3697036717477498168e-948j)  +/-  (1.13e-75, 6.95e-196j)
| (0.00053512545869880297209 + 4.5731439245649342066e-950j)  +/-  (1.14e-78, 6.74e-199j)
| (1.245228662890601536e-10 - 5.6521372703954211588e-954j)  +/-  (1.73e-83, 1.13e-203j)
