Starting with polynomial:
P : 65536*t^16 - 3932160*t^14 + 89456640*t^12 - 984023040*t^10 + 5535129600*t^8 - 15498362880*t^6 + 19372953600*t^4 - 8302694400*t^2 + 518918400
Extension levels are: 16 29
-------------------------------------------------
Trying to find an order 29 Kronrod extension for:
P1 : 65536*t^16 - 3932160*t^14 + 89456640*t^12 - 984023040*t^10 + 5535129600*t^8 - 15498362880*t^6 + 19372953600*t^4 - 8302694400*t^2 + 518918400
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 65536*t^45 - 1332773719808737280/54781808743*t^43 + 12794103405197192314880/3122563098351*t^41 - 3893671617636606077009920/9367689295053*t^39 + 1509779558593864815720386560/53083572671967*t^37 - 73952379448011594711608627200/53083572671967*t^35 + 157983755524898614462998246400/3122563098351*t^33 - 24636202280146989470700079718400/17694524223989*t^31 + 520627447475517386451740131238400/17694524223989*t^29 - 8511676116017142375541214998617600/17694524223989*t^27 + 107953475403666357920391264574646400/17694524223989*t^25 - 1060845027076761801264673632629280000/17694524223989*t^23 + 8036644429888525754923950750239820000/17694524223989*t^21 - 46517506845228024678285587607493260000/17694524223989*t^19 + 10683846595595759927656381014373425000/931290748631*t^17 - 2029419412155625563117262036678860000/54781808743*t^15 + 4727477031459026498823808831038721875/54781808743*t^13 - 7671576834198025041787120282646615625/54781808743*t^11 + 33031731022332477284369275096387921875/219127234972*t^9 - 10976817496442052465609833476170253125/109563617486*t^7 + 32188792549970940351820893609333890625/876508939888*t^5 - 5322767414029279611875691573688453125/876508939888*t^3 + 1003682319559068824048192135332640625/3506035759552*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:
| (5.5577803381968372703 + 6.659551064710782709e-945j)  +/-  (3.35e-245, 3.35e-245j)
| (-7.1178465333995440096 - 2.7461826309593297621e-944j)  +/-  (7.58e-247, 7.58e-247j)
| (-7.8083453921162155071 - 2.1069567203706203599e-946j)  +/-  (6.1e-248, 6.1e-248j)
| (3.5273549796089874021 - 4.20515613042277667e-942j)  +/-  (6.38e-245, 6.38e-245j)
| (-6.0316044130075576503 + 3.3796212642028641117e-942j)  +/-  (1.55e-245, 1.55e-245j)
| (7.1178465333995440096 + 1.352066924879593481e-954j)  +/-  (7.52e-247, 7.52e-247j)
| (-5.1122112752357140052 + 1.5436791478869525216e-950j)  +/-  (5.37e-245, 5.37e-245j)
| (4.6887389393058183647 - 1.0492341428652348775e-956j)  +/-  (8.08e-245, 8.08e-245j)
| (6.5444845786853341213 - 1.0155757030374551681e-962j)  +/-  (4.61e-246, 4.61e-246j)
| (-6.5444845786853341213 + 4.7508535579057733339e-960j)  +/-  (4.07e-246, 4.07e-246j)
| (2.5462021578474813622 - 6.2720118232986720986e-965j)  +/-  (1.4e-246, 1.4e-246j)
| (5.1122112752357140052 + 9.9573861654516149384e-962j)  +/-  (5.13e-245, 5.13e-245j)
| (-1.9517879909162539774 - 1.9542827622856836163e-966j)  +/-  (6.03e-248, 6.03e-248j)
| (-2.5462021578474813622 + 1.1275635906259620619e-964j)  +/-  (1.43e-246, 1.43e-246j)
| (-3.8694479048601226987 - 4.5674394748944026093e-978j)  +/-  (2.05e-243, 2.05e-243j)
| (-1.1022562307071642587 - 3.1771303970207370958e-1011j)  +/-  (1.64e-250, 1.64e-250j)
| (0.82295144914465589258 - 3.0476883400305767618e-1012j)  +/-  (1.48e-251, 1.48e-251j)
| (6.0316044130075576503 - 1.7651796178388257492e-1005j)  +/-  (1.43e-245, 1.43e-245j)
| (4.2837187444563355288 - 5.3676662904579576483e-1003j)  +/-  (1.29e-244, 1.29e-244j)
| (-1.6610447178537989503 - 2.8594406606624174724e-1017j)  +/-  (1.05e-248, 1.05e-248j)
| (3.1769991619799560268 + 2.1781421100501018477e-1011j)  +/-  (1.61e-245, 1.61e-245j)
| (2.2489348442054762446 + 3.466201269218078995e-1020j)  +/-  (3.43e-247, 3.43e-247j)
| (-2.2489348442054762446 - 2.7153486818825439305e-1018j)  +/-  (3.17e-247, 3.17e-247j)
| (-3.8869896507476345967 - 1.7902434867713226346e-1017j)  +/-  (2.18e-243, 2.18e-243j)
| (7.8083453921162155071 + 8.1589097958203193497e-1034j)  +/-  (6.49e-248, 6.49e-248j)
| (-5.5577803381968372703 - 1.8514645361294400359e-1031j)  +/-  (3.3e-245, 3.3e-245j)
| (1.9517879909162539774 + 4.045255270475173036e-1033j)  +/-  (6.62e-248, 6.62e-248j)
| (1.1022562307071642587 + 1.8504581239936380578e-1036j)  +/-  (1.46e-250, 1.46e-250j)
| (-5.7450325858730827694e-1052 - 1.4738036382842267053e-1053j)  +/-  (2.59e-1050, 2.59e-1050j)
| (-0.82295144914465589258 + 9.3810693897075732383e-1037j)  +/-  (1.39e-251, 1.39e-251j)
| (-3.1769991619799560268 - 3.7502430567139464643e-1031j)  +/-  (1.63e-245, 1.63e-245j)
| (2.8509180145962415154 - 3.2296059119251261087e-1030j)  +/-  (5.44e-246, 5.44e-246j)
| (1.3802585391988807964 - 7.9420437358887350629e-1035j)  +/-  (1.5e-249, 1.5e-249j)
| (-3.5273549796089874021 + 1.345045233948521723e-1030j)  +/-  (6.27e-245, 6.27e-245j)
| (-2.8509180145962415154 + 9.1271900645670489334e-1032j)  +/-  (4.89e-246, 4.89e-246j)
| (-1.3802585391988807964 + 3.3716099360422650405e-1035j)  +/-  (1.47e-249, 1.47e-249j)
| (3.8869896507476345967 + 7.0113179296865226558e-1027j)  +/-  (2.13e-243, 2.13e-243j)
| (1.6610447178537989503 - 2.0173584406577107915e-1046j)  +/-  (9.82e-249, 9.82e-249j)
| (3.8694479048601226987 + 4.3183102085141237756e-1041j)  +/-  (1.99e-243, 1.99e-243j)
| (-4.2837187444563355288 - 2.8089110879763033423e-1052j)  +/-  (1.39e-244, 1.39e-244j)
| (-0.54651908884788214542 - 2.0960579482222406701e-1073j)  +/-  (1.11e-252, 1.11e-252j)
| (-4.6887389393058183647 + 1.0451363315119624771e-1070j)  +/-  (8.07e-245, 8.07e-245j)
| (0.27348104613815245216 + 7.9692310053271937957e-1081j)  +/-  (6.56e-254, 6.56e-254j)
| (0.54651908884788214542 + 4.6397223726246017135e-1080j)  +/-  (1.07e-252, 1.07e-252j)
| (-0.27348104613815245216 - 9.0111508363836587036e-1081j)  +/-  (6.56e-254, 6.56e-254j)
-------------------------------------------------
The weights are:
| (9.9487423322792935216e-15 - 1.2717014293726319762e-954j)  +/-  (3.93e-87, 2.76e-208j)
| (3.4546971867991819822e-23 - 1.3351545376772476523e-960j)  +/-  (3.55e-92, 2.5e-213j)
| (1.4911138079121161812e-27 + 3.5518089347781645328e-963j)  +/-  (4.73e-94, 3.33e-215j)
| (8.0540158238963900832e-07 + 9.062355611240936277e-948j)  +/-  (1.12e-80, 7.9e-202j)
| (4.3928615496876208458e-17 - 6.7226451977513032158e-957j)  +/-  (9.48e-90, 6.67e-211j)
| (3.4546971867991819822e-23 + 3.8852340622222926392e-960j)  +/-  (7.66e-94, 5.39e-215j)
| (1.0927090650433648755e-12 - 7.5678658002462757956e-954j)  +/-  (1.06e-87, 7.47e-209j)
| (6.6153534575554185084e-11 - 1.2613572899384986266e-951j)  +/-  (1.89e-86, 1.33e-207j)
| (7.6087888755726549598e-20 - 4.7297383215890019992e-958j)  +/-  (2e-92, 1.41e-213j)
| (7.6087888755726549598e-20 + 1.471213071727859091e-958j)  +/-  (3.4e-92, 2.39e-213j)
| (0.0002574113800683421032 - 1.4205531019743851322e-946j)  +/-  (4.73e-79, 3.33e-200j)
| (1.0927090650433648755e-12 + 4.2051947415001940729e-953j)  +/-  (6.99e-88, 4.92e-209j)
| (0.0036930222634369101539 - 1.7793772892526452286e-946j)  +/-  (4.72e-77, 3.32e-198j)
| (0.0002574113800683421032 - 2.2874230398606820981e-947j)  +/-  (7.53e-81, 5.3e-202j)
| (-3.791053442218921833e-08 - 1.2499577367111013283e-948j)  +/-  (1.1e-86, 7.72e-208j)
| (0.046701548958422386802 + 1.6027312897525582849e-945j)  +/-  (8.6e-72, 6.05e-193j)
| (0.079862359440432036219 - 4.157351290106312226e-945j)  +/-  (8.59e-72, 6.04e-193j)
| (4.3928615496876208458e-17 + 3.0010791275881814466e-956j)  +/-  (1.04e-91, 7.32e-213j)
| (2.4011511878015804114e-09 + 4.4347524374424549847e-950j)  +/-  (5.07e-87, 3.57e-208j)
| (0.010197491547766158596 + 4.273333670474760902e-946j)  +/-  (1.35e-77, 9.5e-199j)
| (7.9008917724609767006e-06 - 3.2536263894166975541e-947j)  +/-  (4.46e-84, 3.14e-205j)
| (0.0010674953496461608717 + 3.0412335386282153361e-946j)  +/-  (4.53e-81, 3.19e-202j)
| (0.0010674953496461608717 + 6.7125967438865536523e-947j)  +/-  (2.55e-81, 1.79e-202j)
| (9.1419232374405518143e-08 + 1.1173518004354761225e-948j)  +/-  (2.42e-87, 1.71e-208j)
| (1.4911138079121161812e-27 - 9.2932333846431628062e-963j)  +/-  (1.74e-99, 1.23e-220j)
| (9.9487423322792935216e-15 + 2.7323672107383467823e-955j)  +/-  (3.14e-93, 2.21e-214j)
| (0.0036930222634369101539 - 6.20199891277279847e-946j)  +/-  (1.62e-82, 1.14e-203j)
| (0.046701548958422386802 + 3.0633201448998558541e-945j)  +/-  (1.03e-79, 7.28e-201j)
| (0.15454649410980704235 + 5.5187393021477554338e-945j)  +/-  (9.78e-79, 6.88e-200j)
| (0.079862359440432036219 - 2.5821919261923683846e-945j)  +/-  (2.78e-79, 1.96e-200j)
| (7.9008917724609767006e-06 - 1.6924882241298047329e-948j)  +/-  (5.58e-87, 3.92e-208j)
| (5.2270400062856920035e-05 + 6.313127334675605584e-947j)  +/-  (2.39e-85, 1.69e-206j)
| (0.02332407980373135126 - 2.0374975042781998493e-945j)  +/-  (1.1e-81, 7.72e-203j)
| (8.0540158238963900832e-07 + 4.7740013949176593321e-949j)  +/-  (5.63e-88, 3.96e-209j)
| (5.2270400062856920035e-05 + 6.6696675887736198329e-948j)  +/-  (3.41e-86, 2.4e-207j)
| (0.02332407980373135126 - 8.9005822537156162521e-946j)  +/-  (9.34e-83, 6.58e-204j)
| (9.1419232374405518143e-08 - 2.3196389005748484549e-947j)  +/-  (2.51e-89, 1.77e-210j)
| (0.010197491547766158596 + 1.1902295784900417877e-945j)  +/-  (2.94e-86, 2.07e-207j)
| (-3.791053442218921833e-08 + 2.7213328364392716503e-947j)  +/-  (2.8e-89, 1.97e-210j)
| (2.4011511878015804114e-09 - 4.2555821029653404948e-951j)  +/-  (2.14e-93, 1.5e-214j)
| (0.11472678679144468656 + 3.7510527085682157596e-945j)  +/-  (2.46e-87, 1.73e-208j)
| (6.6153534575554185084e-11 + 1.7609591942842250107e-952j)  +/-  (7.62e-95, 5.37e-216j)
| (0.14283552473962536231 - 5.6432334464560699364e-945j)  +/-  (7.09e-88, 5.09e-209j)
| (0.11472678679144468656 + 5.1294677089356634845e-945j)  +/-  (5.5e-88, 4.01e-209j)
| (0.14283552473962536231 - 4.8297591861199689371e-945j)  +/-  (6.01e-88, 4.04e-209j)
