Starting with polynomial:
P : -t+1
Extension levels are: 1 33
-------------------------------------------------
Trying to find an order 33 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^34 + 879829972873867425013170844494140905279/766812158899802596708021428801179584*t^33 - 475471061537432079762252625466647366136703/766812158899802596708021428801179584*t^32 + 2516665081840231181892446539233253383194616/11981439982809415573562834825018431*t^31 - 600020651640934778030620864670314092148517544/11981439982809415573562834825018431*t^30 + 107174253126555722630084660692171030617215146920/11981439982809415573562834825018431*t^29 - 14905994585577003127587835465073254371452215218120/11981439982809415573562834825018431*t^28 + 33805100246663114209201076548100272650799483450560/244519183322641134154343567857519*t^27 - 21393916533909197392365209298162117960680111224032960/1711634283258487939080404975002633*t^26 + 1594188623292581856285614062200714173873388368091001440/1711634283258487939080404975002633*t^25 - 98841025294054555388209525236494884640980801654109340000/1711634283258487939080404975002633*t^24 + 5134006427292536452812296984837854258815263841296173440000/1711634283258487939080404975002633*t^23 - 224487204769931363581973614635469776776110806043872228480000/1711634283258487939080404975002633*t^22 + 8289441673008018308563822030741487653982552757278927840640000/1711634283258487939080404975002633*t^21 - 5284962019264039914510204889238471227446036670748141139840000/34931311903234447736334795408217*t^20 + 978319486430946037722817848293384073101947359539168017996800000/244519183322641134154343567857519*t^19 - 21888168454062725178963342479062928312465150154237369044812800000/244519183322641134154343567857519*t^18 + 413633713679460155512059808879180389769641565580859537498681600000/244519183322641134154343567857519*t^17 - 6584458592319471088902248842082647563433043214233187998633836800000/244519183322641134154343567857519*t^16 + 87953490391681477806780387217884204642929136474967101090956083200000/244519183322641134154343567857519*t^15 - 980888231398092369808428361602498552745528494002992330543067136000000/244519183322641134154343567857519*t^14 + 1296399594519690819054103156005066404344138936883473031750504448000000/34931311903234447736334795408217*t^13 - 9870738551785697705005500420391641096196660909906346041634820096000000/34931311903234447736334795408217*t^12 + 61248654015579021514652561776802652113405293195988950235410956288000000/34931311903234447736334795408217*t^11 - 306018586457244269816196231023151462324426163468598412284152676352000000/34931311903234447736334795408217*t^10 + 1212967502343777224650743185686358214308402561629676801859100459008000000/34931311903234447736334795408217*t^9 - 3744258206444029498960492970372652189417197616160836781581107970048000000/34931311903234447736334795408217*t^8 + 8793258944295710883121179388606987896589280323497179869322436673536000000/34931311903234447736334795408217*t^7 - 15244668559785680539680601464504567074554105835572954744958747148288000000/34931311903234447736334795408217*t^6 + 18746235269446179766219620826278916961474860682101048616197113249792000000/34931311903234447736334795408217*t^5 - 15473378663091779511845872275919907157517072111529725543704530780160000000/34931311903234447736334795408217*t^4 + 7909623020203910134284074252012412996372521456159265672556456181760000000/34931311903234447736334795408217*t^3 - 2203027336480408876234584500897640948884484464190110652210736005120000000/34931311903234447736334795408217*t^2 + 264420993761026427539608862838398877883539062889142767759390146560000000/34931311903234447736334795408217*t - 7700246205263911508623749504227952000691301509735276348731555840000000/34931311903234447736334795408217
-------------------------------------------------
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 roots: 848
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (105.44995214242699831 + 6.4675226774996430843e-1241j)  +/-  (9.4e-497, 9.4e-497j)
| (86.394937688730501091 + 3.9493150471338660053e-1239j)  +/-  (4.92e-495, 4.92e-495j)
| (95.140995497432030178 + 2.8212286355913906332e-1249j)  +/-  (8.97e-496, 8.97e-496j)
| (118.62166788420284139 - 8.7709328189026813015e-1258j)  +/-  (4.17e-498, 4.17e-498j)
| (71.811610795466264645 - 4.1956947357253881235e-1270j)  +/-  (5.83e-494, 5.83e-494j)
| (23.725870408852896469 + 2.1736599186781666549e-1301j)  +/-  (1.89e-494, 1.89e-494j)
| (65.549829177342236689 + 1.9271357045598511162e-1329j)  +/-  (1.19e-493, 1.19e-493j)
| (6.8502965338422492202 - 2.8048031899105473416e-1358j)  +/-  (1.55e-499, 1.55e-499j)
| (18.417868854405640855 - 9.8392570370627793768e-1354j)  +/-  (2.1e-495, 2.1e-495j)
| (78.706519777509116233 + 1.4868895224704524357e-1369j)  +/-  (1.84e-494, 1.84e-494j)
| (13.871089078483325875 + 5.1019816175494568339e-1388j)  +/-  (1.48e-496, 1.48e-496j)
| (16.053185348525718041 - 3.0739582502879784195e-1442j)  +/-  (6.46e-496, 6.46e-496j)
| (29.869201001156750744 - 2.0565519965840444706e-1486j)  +/-  (8.37e-494, 8.37e-494j)
| (54.529625783076912679 - 2.1491758814836701059e-1536j)  +/-  (3.15e-493, 3.15e-493j)
| (11.865084350246211006 + 9.172415321401476525e-1565j)  +/-  (3.38e-497, 3.38e-497j)
| (10.029491539093522644 - 2.2194230532245352742e-1568j)  +/-  (6.38e-498, 6.38e-498j)
| (3.254398820288619913 + 1.2228081501489824024e-1585j)  +/-  (2.29e-502, 2.29e-502j)
| (0.53797610034007229349 + 1.0202427928481901346e-1589j)  +/-  (6.05e-507, 6.05e-507j)
| (59.814396701341053001 + 1.6140984433607127515e-1575j)  +/-  (2.01e-493, 2.01e-493j)
| (45.100540804783364342 - 8.9721125151903476985e-1599j)  +/-  (3.53e-493, 3.53e-493j)
| (1 + 7.5273838712960978978e-1632j)  +/-  (1.01e-505, 1.01e-505j)
| (2.3567156499191536728 - 7.0199725542083881574e-1630j)  +/-  (2.15e-503, 2.15e-503j)
| (5.4985697163920453382 - 1.0666102503229460879e-1626j)  +/-  (1.95e-500, 1.95e-500j)
| (0.041493880253003130939 + 1.4921797559337757069e-1668j)  +/-  (4.62e-510, 4.62e-510j)
| (40.879137860461850364 - 2.35402510807686187e-1618j)  +/-  (2.89e-493, 2.89e-493j)
| (1.6058045228066758854 - 6.1750956417258722753e-1660j)  +/-  (1.66e-504, 1.66e-504j)
| (33.284026030062377047 + 1.0727337894371641922e-1648j)  +/-  (1.34e-493, 1.34e-493j)
| (8.3593426493859105929 - 4.2066779258919723615e-1673j)  +/-  (1.05e-498, 1.05e-498j)
| (36.947782367707652431 - 9.4871154593949556739e-1687j)  +/-  (2.31e-493, 2.31e-493j)
| (49.639374033977909096 - 5.2918752818865348009e-1715j)  +/-  (3.48e-493, 3.48e-493j)
| (26.68759866543029133 + 2.6767540597646998753e-1729j)  +/-  (3.99e-494, 3.99e-494j)
| (0.21872573386433192438 + 7.1849649369806792072e-1749j)  +/-  (1.81e-508, 1.81e-508j)
| (4.30087975676544339 + 1.703414881959199785e-1741j)  +/-  (2.27e-501, 2.27e-501j)
| (20.972580896975443235 + 4.3669197172039080682e-1733j)  +/-  (6.37e-495, 6.37e-495j)
-------------------------------------------------
The weights are:
| (1.8205489099561831472e-45 + 4.5820408291611814363e-1281j)  +/-  (1.42e-90, 2.88e-463j)
| (2.459580008055065029e-37 - 4.8307382297001666785e-1276j)  +/-  (3.65e-88, 7.38e-461j)
| (4.5120454398148462171e-41 - 1.5374252994773768761e-1278j)  +/-  (2.16e-89, 4.37e-462j)
| (4.7689154833665721841e-51 - 4.489658422793189403e-1284j)  +/-  (3.03e-93, 6.13e-466j)
| (4.2591809315039350301e-31 - 8.3791630233186064478e-1274j)  +/-  (4.84e-87, 9.77e-460j)
| (1.4180928828740753461e-10 + 2.4945951214281865385e-1264j)  +/-  (4.12e-76, 8.33e-449j)
| (2.0373035834561582317e-28 + 1.2519390200187462487e-1272j)  +/-  (1.7e-86, 3.44e-459j)
| (0.0015143599284929185868 + 3.7908295172963257832e-1261j)  +/-  (2.22e-63, 4.49e-436j)
| (2.4652936784689424501e-08 + 2.7466556555538327559e-1263j)  +/-  (6.24e-74, 1.26e-446j)
| (4.775863256371013378e-34 + 5.4451940859780802629e-1275j)  +/-  (3.86e-88, 7.79e-461j)
| (1.9798852962561851715e-06 + 2.0528772057214717843e-1262j)  +/-  (8.98e-72, 1.81e-444j)
| (2.4246167475242011115e-07 - 7.8719034013165881815e-1263j)  +/-  (5.89e-73, 1.19e-445j)
| (3.5150612727771524178e-13 + 1.4989615180524013628e-1265j)  +/-  (2.8e-80, 5.67e-453j)
| (1.0565672884810568257e-23 + 1.7720435022268191219e-1270j)  +/-  (1.98e-86, 3.99e-459j)
| (1.3500232501313765707e-05 - 4.8799116770046469963e-1262j)  +/-  (3.01e-72, 6.09e-445j)
| (7.7233456265800021807e-05 + 1.0585927728609976291e-1261j)  +/-  (1.73e-71, 3.49e-444j)
| (0.037512038763683235757 - 1.2725101995450895139e-1260j)  +/-  (9.81e-66, 1.98e-438j)
| (0.2280210374419127918 - 1.2572923966563506294e-1260j)  +/-  (2.63e-64, 5.31e-437j)
| (5.7976533674782722386e-26 - 1.6154651546059565458e-1271j)  +/-  (3.88e-87, 7.84e-460j)
| (1.1325804348173181384e-19 + 1.3372034816931888179e-1268j)  +/-  (1.03e-85, 2.08e-458j)
| (0.19634482011733548326 + 1.5943850671357754994e-1260j)  +/-  (2.3e-64, 4.65e-437j)
| (0.078057295732534786089 + 1.5543469790911031601e-1260j)  +/-  (2.83e-67, 5.71e-440j)
| (0.005214819939796835286 - 6.2490704167295632899e-1261j)  +/-  (1.84e-71, 3.72e-444j)
| (0.10216916885913455208 - 2.3315807937454831922e-1261j)  +/-  (2.25e-65, 4.54e-438j)
| (7.182122116333049345e-18 - 9.3639671104114255276e-1268j)  +/-  (3.32e-85, 6.71e-458j)
| (0.13611549889830960296 - 1.6875144025495076078e-1260j)  +/-  (3.72e-69, 7.52e-442j)
| (1.2402195251741256236e-14 - 3.1129495085457396918e-1266j)  +/-  (5.84e-84, 1.18e-456j)
| (0.00037212284942596270716 - 2.0967027613918076251e-1261j)  +/-  (7.27e-76, 1.47e-448j)
| (3.4111264003951848798e-16 + 5.7458353557817015579e-1267j)  +/-  (7.85e-85, 1.59e-457j)
| (1.3024184332421805943e-21 - 1.65905843085543318e-1269j)  +/-  (1.92e-87, 3.89e-460j)
| (7.8850919631996512452e-12 - 6.4519410159944709305e-1265j)  +/-  (4.51e-83, 9.1e-456j)
| (0.19938006364127579127 + 7.4845917894759203606e-1261j)  +/-  (7.55e-77, 1.51e-449j)
| (0.015205790922200076985 + 9.3698724670103643081e-1261j)  +/-  (4.4e-78, 8.67e-451j)
| (2.0671644191492300507e-09 - 8.7002208173031727337e-1264j)  +/-  (7.22e-82, 1.46e-454j)
