Starting with polynomial:
P : t
Extension levels are: 1 44
-------------------------------------------------
Trying to find an order 44 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^45 - 990/89*t^43 + 148995/2581*t^41 - 8145060/43877*t^39 + 1508872365/3641791*t^37 - 2481256778/3641791*t^35 + 43421993615/50770851*t^33 - 14178610160/16923617*t^31 + 10988422874/16923617*t^29 - 153837920236/383407461*t^27 + 2999839444602/15123294295*t^25 - 5454253535640/69567153757*t^23 + 4999732407670/202652143553*t^21 - 1242537048060/202652143553*t^19 + 240900039930/202652143553*t^17 - 2184160362032/12361780756733*t^15 + 14333552375835/729345064647247*t^13 - 1153784401770/729345064647247*t^11 + 192297400295/2188035193941741*t^9 - 121450989660/38655288426304091*t^7 + 42507846381/657139903247169547*t^5 - 2891690230/4599979322730186829*t^3 + 394321395/216199028168318780963*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:
| (0.40250294385854191408 + 7.1832421065442063095e-850j)  +/-  (3.88e-248, 3.88e-248j)
| (0.98196871503454056824 + 1.2096858871880658734e-838j)  +/-  (8.07e-240, 8.07e-240j)
| (-0.94664169099562906178 - 6.6728204387501217456e-842j)  +/-  (5.9e-240, 5.9e-240j)
| (0.99860364518193663816 - 1.8130587561605961709e-854j)  +/-  (2.03e-240, 2.03e-240j)
| (0.94664169099562906178 - 1.2907639455170296977e-858j)  +/-  (5.29e-240, 5.29e-240j)
| (0.9221639367190003881 - 3.2136724800977195898e-861j)  +/-  (3.08e-240, 3.08e-240j)
| (-0.99264999844720374175 + 2.5452282041536608711e-860j)  +/-  (6.12e-240, 6.12e-240j)
| (-0.89329167175324173846 + 1.3388747373169688374e-875j)  +/-  (1.51e-240, 1.51e-240j)
| (-0.96660831039689460474 - 6.6566133409731118573e-891j)  +/-  (7.92e-240, 7.92e-240j)
| (-0.99860364518193663816 - 9.0854360548189015713e-914j)  +/-  (2.01e-240, 2.01e-240j)
| (0.86016247596066422534 + 9.0234743750722391182e-928j)  +/-  (6.8e-241, 6.8e-241j)
| (-0.20564748978326374572 + 6.2958725052603381134e-939j)  +/-  (9.18e-252, 9.18e-252j)
| (-0.9221639367190003881 + 1.8707686045865530381e-925j)  +/-  (3.16e-240, 3.16e-240j)
| (-0.78178431259390629131 + 3.7258923981374343499e-936j)  +/-  (5.59e-242, 5.59e-242j)
| (0.99264999844720374175 + 7.5962136891176302234e-935j)  +/-  (6.07e-240, 6.07e-240j)
| (0.82293422050208633704 - 3.6286137278830320689e-942j)  +/-  (2.11e-241, 2.11e-241j)
| (0.78178431259390629131 + 3.1214946317862716152e-944j)  +/-  (5.37e-242, 5.37e-242j)
| (-0.98196871503454056824 - 1.5630013829303249011e-941j)  +/-  (7.88e-240, 7.88e-240j)
| (-0.82293422050208633704 - 1.1336119489067852183e-951j)  +/-  (1.92e-241, 1.92e-241j)
| (-0.86016247596066422534 + 1.2167752037177263174e-952j)  +/-  (5.84e-241, 5.84e-241j)
| (0.89329167175324173846 - 3.6265368655694136034e-954j)  +/-  (1.66e-240, 1.66e-240j)
| (0.73690884894549035262 - 1.9632981266132122917e-957j)  +/-  (1.29e-242, 1.29e-242j)
| (0.20564748978326374572 - 1.3988517771311121941e-969j)  +/-  (8.77e-252, 8.77e-252j)
| (-0.73690884894549035262 - 7.572977171454957099e-959j)  +/-  (1.25e-242, 1.25e-242j)
| (-0.68852168077120052523 + 7.8819314804237434756e-960j)  +/-  (2.34e-243, 2.34e-243j)
| (1.1692369913333849183e-975 - 1.5401437117494778791e-975j)  +/-  (8.7e-974, 8.7e-974j)
| (0.68852168077120052523 + 1.056131428237339698e-958j)  +/-  (2.45e-243, 2.45e-243j)
| (0.96660831039689460474 + 1.8954676718869155695e-962j)  +/-  (7.51e-240, 7.51e-240j)
| (-0.46469512391963509858 - 1.6418497040464107998e-972j)  +/-  (4.45e-247, 4.45e-247j)
| (-0.63685339445322335927 + 3.700231648906423884e-970j)  +/-  (3.88e-244, 3.88e-244j)
| (-0.27266976975237756061 + 3.6623851001870222548e-976j)  +/-  (1.54e-250, 1.54e-250j)
| (0.27266976975237756061 - 9.8324549900462034635e-977j)  +/-  (1.52e-250, 1.52e-250j)
| (0.63685339445322335927 + 3.0603223390253884202e-969j)  +/-  (3.72e-244, 3.72e-244j)
| (0.06898698016314417249 + 1.2246318210945789447e-980j)  +/-  (1.96e-254, 1.96e-254j)
| (-0.58215021256935318668 + 6.5859006625955031776e-972j)  +/-  (5e-245, 5e-245j)
| (-0.40250294385854191408 - 3.5280479363495050365e-975j)  +/-  (4.19e-248, 4.19e-248j)
| (0.13764520598325302876 - 5.4786356076880445093e-980j)  +/-  (4.82e-253, 4.82e-253j)
| (0.58215021256935318668 + 1.5890412855423968954e-971j)  +/-  (4.63e-245, 4.63e-245j)
| (0.33839265425060216164 - 2.9995828534897731708e-979j)  +/-  (3.09e-249, 3.09e-249j)
| (-0.33839265425060216164 - 2.2730287786305931214e-977j)  +/-  (2.76e-249, 2.76e-249j)
| (-0.52467282046291606709 - 3.8436823259720256982e-975j)  +/-  (5.38e-246, 5.38e-246j)
| (-0.13764520598325302876 + 5.7974404058861988852e-983j)  +/-  (4.84e-253, 4.84e-253j)
| (0.46469512391963509858 + 1.0711795442500447008e-973j)  +/-  (4.83e-247, 4.83e-247j)
| (0.52467282046291606709 - 7.6621640957440978861e-976j)  +/-  (5.86e-246, 5.86e-246j)
| (-0.06898698016314417249 - 8.6427265527689163216e-985j)  +/-  (1.96e-254, 1.96e-254j)
-------------------------------------------------
The weights are:
| (0.06320144007381993775 - 2.9015884558841250687e-839j)  +/-  (2.51e-72, 6.88e-188j)
| (0.013031104991582784321 - 4.3314320097099539989e-839j)  +/-  (1.21e-72, 3.31e-188j)
| (0.022239847550578732394 - 1.8339255060291336143e-840j)  +/-  (6.96e-74, 1.9e-189j)
| (0.0035826631552835589311 + 1.3884913187781676157e-839j)  +/-  (4.95e-73, 1.35e-188j)
| (0.022239847550578732394 - 9.9382018551318257537e-839j)  +/-  (4.91e-73, 1.34e-188j)
| (0.026696213967577664806 + 7.7193720064333381498e-839j)  +/-  (2.04e-73, 5.57e-189j)
| (0.0083231892962182416457 + 4.0102477341623061075e-841j)  +/-  (1.11e-74, 3.04e-190j)
| (0.031025374934515467163 - 3.1297639758380934835e-840j)  +/-  (8.53e-75, 2.33e-190j)
| (0.017677535257937590617 + 1.2245526852128960679e-840j)  +/-  (1.21e-74, 3.3e-190j)
| (0.0035826631552835589311 - 1.1474160115642263983e-841j)  +/-  (4.88e-75, 1.34e-190j)
| (0.035206692201609016248 + 5.7391061278532936273e-839j)  +/-  (3.26e-76, 8.93e-192j)
| (0.067565954163607536271 + 1.5656701585986833091e-839j)  +/-  (7.02e-78, 1.92e-193j)
| (0.026696213967577664806 + 2.5041791813310948161e-840j)  +/-  (3.84e-75, 1.05e-190j)
| (0.043046880709164971152 + 5.3822603599894981284e-840j)  +/-  (1.57e-77, 4.3e-193j)
| (0.0083231892962182416457 - 7.5505947761454798709e-839j)  +/-  (1.54e-75, 4.22e-191j)
| (0.039220236729302447564 - 5.1681437746949012717e-839j)  +/-  (6.9e-77, 1.89e-192j)
| (0.043046880709164971152 + 4.7209991048305497812e-839j)  +/-  (1.73e-77, 4.74e-193j)
| (0.013031104991582784321 - 7.8378848460204621089e-841j)  +/-  (1.18e-75, 3.23e-191j)
| (0.039220236729302447564 - 4.5816902455407013921e-840j)  +/-  (7.09e-78, 1.94e-193j)
| (0.035206692201609016248 + 3.8288977961972420639e-840j)  +/-  (2.39e-77, 6.54e-193j)
| (0.031025374934515467163 - 6.521771563050571864e-839j)  +/-  (3.33e-78, 9.13e-194j)
| (0.046668387718373365268 - 4.3532044232105064463e-839j)  +/-  (5.95e-80, 1.63e-195j)
| (0.067565954163607536271 + 2.3942222745042363416e-839j)  +/-  (1.4e-82, 3.82e-198j)
| (0.046668387718373365268 - 6.2274678137651093424e-840j)  +/-  (2.99e-80, 8.18e-196j)
| (0.050067499237952029799 + 7.1152330824919139266e-840j)  +/-  (3.1e-81, 8.47e-197j)
| (0.069041824829232020111 - 1.9554664238575370258e-839j)  +/-  (4.8e-84, 1.31e-199j)
| (0.050067499237952029799 + 4.0397073121899515969e-839j)  +/-  (4.36e-82, 1.19e-197j)
| (0.017677535257937590617 + 1.6202771439874381731e-838j)  +/-  (5.27e-80, 1.44e-195j)
| (0.061133500831066522502 + 1.1068745838350012031e-839j)  +/-  (3.62e-84, 9.92e-200j)
| (0.053228016731268951946 - 8.044084603689547706e-840j)  +/-  (9.98e-83, 2.73e-198j)
| (0.066425348449842528083 - 1.4448245115274537497e-839j)  +/-  (1.11e-84, 3.04e-200j)
| (0.066425348449842528083 - 2.5542862552731044185e-839j)  +/-  (5.4e-85, 1.48e-200j)
| (0.053228016731268951946 - 3.765245488492521358e-839j)  +/-  (2.65e-84, 7.25e-200j)
| (0.068877316977661322882 + 2.0955913496314722206e-839j)  +/-  (2.73e-85, 7.47e-201j)
| (0.056134878759786476644 + 9.0129948678104565801e-840j)  +/-  (2.26e-84, 6.2e-200j)
| (0.06320144007381993775 - 1.2155351412144052313e-839j)  +/-  (2.9e-85, 7.92e-201j)
| (0.068384577378669674532 - 2.2416150722558915482e-839j)  +/-  (1.02e-85, 2.79e-201j)
| (0.056134878759786476644 + 3.5199537976564971086e-839j)  +/-  (1.58e-86, 4.32e-202j)
| (0.064968195750723430854 + 2.7229262728975148568e-839j)  +/-  (2.75e-86, 7.53e-202j)
| (0.064968195750723430854 + 1.3281567679788010845e-839j)  +/-  (2.14e-86, 5.86e-202j)
| (0.058774232718841738574 - 1.0021313844073324047e-839j)  +/-  (4.23e-86, 1.16e-201j)
| (0.068384577378669674532 - 1.6908796245048400693e-839j)  +/-  (2.57e-87, 7.04e-203j)
| (0.061133500831066522502 + 3.09216259134473493e-839j)  +/-  (4.32e-88, 1.19e-203j)
| (0.058774232718841738574 - 3.2971551814272422423e-839j)  +/-  (3.93e-88, 1.08e-203j)
| (0.068877316977661322882 + 1.8207027827982409856e-839j)  +/-  (5.34e-88, 1.44e-203j)
