Starting with polynomial:
P : t
Extension levels are: 1 58
-------------------------------------------------
Trying to find an order 58 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^59 - 1711*t^57 + 1365378*t^55 - 675862110*t^53 + 232834496895*t^51 - 59372796708225*t^49 + 11637068154812100*t^47 - 1797095810764554300*t^45 + 222390606582113594625*t^43 - 22313190860405397327375*t^41 + 1829681650553242580844750*t^39 - 123254009369086613855087250*t^37 + 6840597519984307068957342375*t^35 - 313088886491589438925355285625*t^33 + 11807923719111373125184827915000*t^31 - 366045635292452566880729665365000*t^29 + 9288407995545983884598515258636875*t^27 - 191778306260978843734945815045973125*t^25 + 3196305104349647395582430250766218750*t^23 - 42561325863182146899071308075992281250*t^21 + 446893921563412542440248734797918953125*t^19 - 3638993361302073559870596840497340046875*t^17 + 22495595324412818370109144104892647562500*t^15 - 102697283002754170820063483957118608437500*t^13 + 333766169758951055165206322860635477421875*t^11 - 734285573469692321363453910293398050328125*t^9 + 1016703101727266291118628491175474223531250*t^7 - 790769079121207115314488826469813284968750*t^5 + 282417528257573969755174580882076173203125*t^3 - 29215606371473169285018060091249259296875*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: 0
  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:
| (11.910069623185836569 + 4.0037829015687224497e-723j)  +/-  (2.42e-242, 2.42e-242j)
| (-13.329338140146962528 + 2.0943152835293785869e-732j)  +/-  (5.42e-244, 5.42e-244j)
| (14.234636999561002327 + 1.1865920903597940961e-734j)  +/-  (2.55e-245, 2.55e-245j)
| (11.292234296538551446 - 4.058873787260919252e-730j)  +/-  (7.69e-242, 7.69e-242j)
| (12.579543355677073427 - 1.5173024531866599047e-734j)  +/-  (4.85e-243, 4.85e-243j)
| (10.711268124785009651 - 1.4436679355607766513e-738j)  +/-  (1.61e-241, 1.61e-241j)
| (6.2877347083820159204 + 4.9412760478916229831e-749j)  +/-  (4e-242, 4e-242j)
| (-10.158313743445304294 - 2.8690058855586387629e-752j)  +/-  (2.98e-241, 2.98e-241j)
| (-6.737010344377113446 + 9.5582449744020278537e-755j)  +/-  (8.69e-242, 8.69e-242j)
| (5.4073617274260313305 + 4.2141865655359820208e-753j)  +/-  (4.83e-243, 4.83e-243j)
| (-11.910069623185836569 + 8.9678742676411147145e-758j)  +/-  (2.3e-242, 2.3e-242j)
| (-3.7012554452966461437 - 6.2050779091987583277e-762j)  +/-  (1.33e-245, 1.33e-245j)
| (-9.1148189987704133965 + 1.922183294530921962e-758j)  +/-  (4.72e-241, 4.72e-241j)
| (8.6171424523549599325 + 4.3695480751829649476e-779j)  +/-  (4.82e-241, 4.82e-241j)
| (9.1148189987704133965 - 1.6095064613375075466e-817j)  +/-  (4.88e-241, 4.88e-241j)
| (1.6321341963578665557 + 2.3726221238308369128e-851j)  +/-  (3.01e-250, 3.01e-250j)
| (8.1321843625903868475 - 1.8217643251994349615e-850j)  +/-  (3.92e-241, 3.92e-241j)
| (-7.1934643962673816915 - 9.9253957937922503853e-865j)  +/-  (1.71e-241, 1.71e-241j)
| (-1.6321341963578665557 + 5.8077845910209967783e-879j)  +/-  (2.47e-250, 2.47e-250j)
| (13.329338140146962528 - 9.1437800615704831088e-870j)  +/-  (5.53e-244, 5.53e-244j)
| (-5.844768615756861504 - 3.8641302383675478161e-876j)  +/-  (1.4e-242, 1.4e-242j)
| (-14.234636999561002327 + 3.4747106213153931219e-881j)  +/-  (2.79e-245, 2.79e-245j)
| (2.8674936920876179146 + 1.4297314133012082739e-884j)  +/-  (2.85e-247, 2.85e-247j)
| (-3.2831184953659491737 - 4.7085448514539060251e-882j)  +/-  (1.97e-246, 1.97e-246j)
| (-5.4073617274260313305 + 5.0251617013698984162e-877j)  +/-  (5.24e-243, 5.24e-243j)
| (-7.6581169726728905344 + 1.4291424615183843149e-880j)  +/-  (2.84e-241, 2.84e-241j)
| (2.0423365218973620031 - 2.5285087665927609988e-899j)  +/-  (3.29e-249, 3.29e-249j)
| (10.158313743445304294 - 1.460323852300152667e-900j)  +/-  (3.41e-241, 3.41e-241j)
| (-12.579543355677073427 - 3.7646207957900218139e-922j)  +/-  (4.2e-243, 4.2e-243j)
| (-0.81492152567707871837 + 2.6203960456029990372e-935j)  +/-  (1.41e-252, 1.41e-252j)
| (-11.292234296538551446 + 1.7677519152616878159e-921j)  +/-  (7.03e-242, 7.03e-242j)
| (3.7012554452966461437 + 2.6785740348687778463e-926j)  +/-  (1.17e-245, 1.17e-245j)
| (4.9748578889170786167 + 6.121289897112768021e-922j)  +/-  (1.34e-243, 1.34e-243j)
| (9.6275328785733536022 + 8.7581911940183712847e-921j)  +/-  (4.57e-241, 4.57e-241j)
| (-2.0423365218973620031 - 8.6729902717218931442e-938j)  +/-  (4.17e-249, 4.17e-249j)
| (-8.1321843625903868475 - 1.738457143084827669e-930j)  +/-  (4.47e-241, 4.47e-241j)
| (5.844768615756861504 - 3.8947440832049735464e-929j)  +/-  (1.58e-242, 1.58e-242j)
| (0.81492152567707871837 + 9.3787563870948171726e-948j)  +/-  (1.38e-252, 1.38e-252j)
| (7.1934643962673816915 - 3.4233052498888669753e-935j)  +/-  (1.68e-241, 1.68e-241j)
| (-9.6275328785733536022 - 1.0609094595263603383e-948j)  +/-  (4.26e-241, 4.26e-241j)
| (-1.2230959806605108416 + 1.6347883818837766188e-960j)  +/-  (2.35e-251, 2.35e-251j)
| (-4.9748578889170786167 - 3.8414342994010968957e-953j)  +/-  (1.21e-243, 1.21e-243j)
| (1.2230959806605108416 + 9.7167540258170050813e-961j)  +/-  (2.06e-251, 2.06e-251j)
| (2.4540143958403686504 + 2.7385658092799165508e-957j)  +/-  (3.02e-248, 3.02e-248j)
| (-4.5466766269787046017 - 5.0251597181902496647e-954j)  +/-  (3.36e-244, 3.36e-244j)
| (-6.2877347083820159204 + 4.9963601371186140804e-953j)  +/-  (3.67e-242, 3.67e-242j)
| (-4.122298825518454367 + 3.7681946521359457115e-955j)  +/-  (7.7e-245, 7.7e-245j)
| (6.737010344377113446 + 2.7626123605809321275e-949j)  +/-  (8.61e-242, 8.61e-242j)
| (0.40731854303282499968 + 2.4015299543840115266e-972j)  +/-  (8.85e-254, 8.85e-254j)
| (-10.711268124785009651 - 1.4987602705357923639e-960j)  +/-  (1.54e-241, 1.54e-241j)
| (-8.6171424523549599325 - 2.3104428141818235156e-959j)  +/-  (4.99e-241, 4.99e-241j)
| (-0.40731854303282499968 - 5.5701628599407741317e-1003j)  +/-  (1.25e-253, 1.25e-253j)
| (7.6581169726728905344 + 3.7680211840613714638e-960j)  +/-  (2.73e-241, 2.73e-241j)
| (3.2831184953659491737 + 4.8643456114417876133e-972j)  +/-  (1.75e-246, 1.75e-246j)
| (4.122298825518454367 - 1.3956117851929907036e-970j)  +/-  (8.23e-245, 8.23e-245j)
| (2.7416601910225857366e-1008 + 1.2220964093579899294e-1008j)  +/-  (1.77e-1006, 1.77e-1006j)
| (-2.4540143958403686504 + 1.5754949164768794049e-974j)  +/-  (3.08e-248, 3.08e-248j)
| (-2.8674936920876179146 - 1.025095988692838155e-973j)  +/-  (2.84e-247, 2.84e-247j)
| (4.5466766269787046017 - 1.9272117738672579309e-969j)  +/-  (3.01e-244, 3.01e-244j)
-------------------------------------------------
The weights are:
| (4.0282202530763088597e-32 - 9.6043420262133296264e-754j)  +/-  (1.71e-60, 2.42e-180j)
| (8.4537955824018226332e-40 - 9.2571096024770852414e-760j)  +/-  (1.14e-64, 1.61e-184j)
| (4.1771786138727657856e-45 - 2.2342291778975779541e-761j)  +/-  (1.54e-65, 2.18e-185j)
| (4.8737833399772381606e-29 + 9.080146170480829077e-753j)  +/-  (1.24e-59, 1.76e-179j)
| (1.2172111570773531775e-35 - 4.187717162889380369e-756j)  +/-  (1.92e-62, 2.72e-182j)
| (2.7541729472783211553e-26 - 1.1124451626473851047e-751j)  +/-  (6.16e-59, 8.73e-179j)
| (4.6257694467110187006e-10 + 3.0740018507853193232e-744j)  +/-  (3.32e-49, 4.7e-169j)
| (8.4420375372826646682e-24 + 1.0579906266794185908e-751j)  +/-  (1.7e-62, 2.41e-182j)
| (2.517677546890809738e-11 - 2.1623098611312647375e-745j)  +/-  (6.88e-54, 9.73e-174j)
| (7.761799494432088099e-08 + 3.4428316055335280226e-743j)  +/-  (1.24e-47, 1.75e-167j)
| (4.0282202530763088597e-32 - 6.7708159016805779297e-756j)  +/-  (2.09e-66, 2.96e-186j)
| (0.00017737860363128588323 + 6.8555068371067946719e-742j)  +/-  (1.45e-42, 2.05e-162j)
| (1.8340756208676295141e-19 + 1.6368301570622608363e-749j)  +/-  (2.03e-60, 2.87e-180j)
| (1.4712007556495672817e-17 - 9.3601509813458844522e-748j)  +/-  (4.15e-58, 5.87e-178j)
| (1.8340756208676295141e-19 + 1.2311669731510575145e-748j)  +/-  (2.62e-59, 3.71e-179j)
| (0.043130775808362702621 - 1.6237400561580564365e-740j)  +/-  (1.31e-30, 1.85e-150j)
| (8.336640276341015039e-16 + 6.1415179166408003712e-747j)  +/-  (2.16e-57, 3.06e-177j)
| (1.0654422591436113809e-12 + 4.3419013374220887879e-746j)  +/-  (1.86e-58, 2.63e-178j)
| (0.043130775808362702621 - 1.2323470181756433879e-740j)  +/-  (2.38e-33, 3.37e-153j)
| (8.4537955824018226332e-40 + 1.6462261413399196002e-758j)  +/-  (1.58e-68, 2.24e-188j)
| (6.7049476193515362106e-09 - 3.7060364493023212245e-744j)  +/-  (2.08e-55, 2.94e-175j)
| (4.1771786138727657856e-45 + 1.9864902758239691304e-762j)  +/-  (1.15e-74, 1.63e-194j)
| (0.0027097529396105440471 + 4.6259555183181678033e-741j)  +/-  (5.69e-45, 8.06e-165j)
| (0.0007590229812699706167 - 1.4571600928281448398e-741j)  +/-  (4.71e-47, 6.67e-167j)
| (7.761799494432088099e-08 + 1.2927854278382151918e-743j)  +/-  (1.23e-54, 1.74e-174j)
| (3.4453206056984498709e-14 - 7.6224212468169026216e-747j)  +/-  (1.99e-60, 2.82e-180j)
| (0.020364857285681589834 + 1.1621228747236507566e-740j)  +/-  (2.94e-42, 4.16e-162j)
| (8.4420375372826646682e-24 + 1.3328446906229229669e-750j)  +/-  (1.86e-64, 2.63e-184j)
| (1.2172111570773531775e-35 + 1.1448003047924430846e-757j)  +/-  (1.48e-71, 2.09e-191j)
| (0.116732987305014882 - 2.1575856519150481269e-740j)  +/-  (4.98e-42, 7.05e-162j)
| (4.8737833399772381606e-29 + 2.4178574725557086066e-754j)  +/-  (3.89e-69, 5.51e-189j)
| (0.00017737860363128588323 + 1.3037639613830239393e-741j)  +/-  (3.47e-53, 4.91e-173j)
| (7.2511920489316068683e-07 - 9.8667422934372980286e-743j)  +/-  (9.4e-57, 1.33e-176j)
| (1.5511110077683980156e-21 - 1.386541545472215334e-749j)  +/-  (1.1e-64, 1.56e-184j)
| (0.020364857285681589834 + 8.2190250284235073017e-741j)  +/-  (1.76e-48, 2.49e-168j)
| (8.336640276341015039e-16 + 1.1576510624839679696e-747j)  +/-  (4.68e-64, 6.63e-184j)
| (6.7049476193515362106e-09 - 1.0848611723460991585e-743j)  +/-  (5.3e-59, 7.5e-179j)
| (0.116732987305014882 - 2.4745284020345389325e-740j)  +/-  (8.68e-48, 1.23e-167j)
| (1.0654422591436113809e-12 + 1.7585888627670257829e-745j)  +/-  (6.39e-62, 9.04e-182j)
| (1.5511110077683980156e-21 - 1.4694431345989198963e-750j)  +/-  (1.93e-67, 2.74e-187j)
| (0.077146879333294192838 + 1.6994895281152119543e-740j)  +/-  (7.06e-48, 9.99e-168j)
| (7.2511920489316068683e-07 - 4.052604457414361589e-743j)  +/-  (1.75e-59, 2.48e-179j)
| (0.077146879333294192838 + 2.0884938154827449561e-740j)  +/-  (3.62e-49, 5.12e-169j)
| (0.0081032063826370199599 - 7.6497494922008195427e-741j)  +/-  (1.12e-53, 1.59e-173j)
| (5.5156277355140844487e-06 + 1.1467855624674573388e-742j)  +/-  (4.05e-59, 5.73e-179j)
| (4.6257694467110187006e-10 + 9.4973339842959372113e-745j)  +/-  (7.7e-62, 1.09e-181j)
| (3.4420574647800882236e-05 - 2.9406280185338127724e-742j)  +/-  (1.01e-58, 1.43e-178j)
| (2.517677546890809738e-11 - 7.7943779751854009825e-745j)  +/-  (3.88e-64, 5.5e-184j)
| (0.14959553812840502018 + 2.7020062028000640595e-740j)  +/-  (9.78e-54, 1.38e-173j)
| (2.7541729472783211553e-26 - 5.8953014794289964727e-753j)  +/-  (3.86e-71, 5.47e-191j)
| (1.4712007556495672817e-17 - 1.5015323876858991307e-748j)  +/-  (1.14e-66, 1.61e-186j)
| (0.14959553812840502018 + 2.5233031479779714075e-740j)  +/-  (6.23e-57, 8.82e-177j)
| (3.4453206056984498709e-14 - 3.5079655349086573731e-746j)  +/-  (4.8e-66, 6.79e-186j)
| (0.0007590229812699706167 - 2.5662496279601010544e-741j)  +/-  (5.4e-61, 7.63e-181j)
| (3.4420574647800882236e-05 - 6.0537528325665743142e-742j)  +/-  (1.5e-62, 2.11e-182j)
| (0.16247771019741511211 - 2.7196394659550210626e-740j)  +/-  (1.49e-59, 2.07e-179j)
| (0.0081032063826370199599 - 5.0359248255115166805e-741j)  +/-  (2.51e-61, 3.45e-181j)
| (0.0027097529396105440471 + 2.8306797781604927723e-741j)  +/-  (1.12e-61, 1.53e-181j)
| (5.5156277355140844487e-06 + 2.5629981333293901955e-742j)  +/-  (2.43e-63, 3.51e-183j)
