Starting with polynomial:
P : -t+1
Extension levels are: 1 45
-------------------------------------------------
Trying to find an order 45 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^46 + 88230459261614823129940381745138026466819268161489937128969/42591665236474640562684440473669440358639278611408414744*t^45 - 87416166818884923164605993541091411098942295566005164517879425/42591665236474640562684440473669440358639278611408414744*t^44 + 626992619992822144674413904145024182935020602202346296412970075/483996195869030006394141369018970913166355438766004713*t^43 - 283328441028480664044008770610031822066528655149905977512265896825/483996195869030006394141369018970913166355438766004713*t^42 + 97665462934550534116088755109440448853570176229531059490294113622585/483996195869030006394141369018970913166355438766004713*t^41 - 26720237966769907369745915668003211458793010192029443780345406079827685/483996195869030006394141369018970913166355438766004713*t^40 + 5960655710790835831916411073412157827911034516667109118512779731747308000/483996195869030006394141369018970913166355438766004713*t^39 - 1105354135529443064818114232635462024668194632046188699745759845927830756000/483996195869030006394141369018970913166355438766004713*t^38 + 172869038248962234053607383283455979009792969514038499323855181232867045706000/483996195869030006394141369018970913166355438766004713*t^37 - 23052611029638280678513460796497400308470479456991969065420338501730227776880400/483996195869030006394141369018970913166355438766004713*t^36 + 2643775285181795131232194525877329228117126418019603597739341262701320024327798400/483996195869030006394141369018970913166355438766004713*t^35 - 262510747462088215011361152362687499757794119543241415687984224427679280583779120000/483996195869030006394141369018970913166355438766004713*t^34 + 22687487155398944563700597070868692777843444436218776808261238207757658167088285840000/483996195869030006394141369018970913166355438766004713*t^33 - 1713752370933528878627782046888058664103123040549585275836023990274921592772019404240000/483996195869030006394141369018970913166355438766004713*t^32 + 113509877632777059823947323015019940131673888399097367304348931995792895286405607809024000/483996195869030006394141369018970913166355438766004713*t^31 - 6608532329177626967943465043059059636517427211544125060433660822803369703489454875500544000/483996195869030006394141369018970913166355438766004713*t^30 + 338790580572524917775881446927978570999327785353277532202051619167557986497367978751436800000/483996195869030006394141369018970913166355438766004713*t^29 - 15311698499791606689042958831265415098937052411679312083474595168945367769067227415530137600000/483996195869030006394141369018970913166355438766004713*t^28 + 610461526026629935103882144182321557998299964799021880268296641110817856330505362555658649600000/483996195869030006394141369018970913166355438766004713*t^27 - 21473206000560017741102333261980425041270574836055149516451624546246096165279085961459008389120000/483996195869030006394141369018970913166355438766004713*t^26 + 666184781864560812334460845767442619162290780271700152955033975725045136757257427878506623057920000/483996195869030006394141369018970913166355438766004713*t^25 - 18214114694173406554467232463655063145180335744369758321144654744574587034735051218818977945600000000/483996195869030006394141369018970913166355438766004713*t^24 + 438324113315986014379469634550582168879497526101768971990667783765774870702989059394240697139200000000/483996195869030006394141369018970913166355438766004713*t^23 - 9268596684162663049162374069833902421964970611427542255316755382002736840316352762174701572915200000000/483996195869030006394141369018970913166355438766004713*t^22 + 171835475815825321300797311730980608126431947752820235271527073917389412464865000932964759682056192000000/483996195869030006394141369018970913166355438766004713*t^21 - 2785609063206973665872564542625376831744512708867916705528219144803452896470445648618855305323118592000000/483996195869030006394141369018970913166355438766004713*t^20 + 39357393989734281442576491021741964140716907066745267767933878024051749127896130095010266015393382400000000/483996195869030006394141369018970913166355438766004713*t^19 - 482792446704752758055010312199382849808502316400271266653211869961965872022321175147575951872249036800000000/483996195869030006394141369018970913166355438766004713*t^18 + 5118704337925804861453929074727309523609179446566167934664110910572315267213980839217779946484747468800000000/483996195869030006394141369018970913166355438766004713*t^17 - 46658584566282887166036567307445689321917405729754375398275494743970703582021472725114949003985547427840000000/483996195869030006394141369018970913166355438766004713*t^16 + 363412513119357419355391596965312387301021311649758965203572061999578316441172755536642349613430593290240000000/483996195869030006394141369018970913166355438766004713*t^15 - 2401280329634215422625006553182697679341537023669642683114074362541738899223712813275745679917126254592000000000/483996195869030006394141369018970913166355438766004713*t^14 + 13347697562848424306662228008478677471292803580641692662410436429490690337884976335762335408075892588544000000000/483996195869030006394141369018970913166355438766004713*t^13 - 61800542760434557092227962690684037953913421360467197612348849153036186034654868825443216791536199532544000000000/483996195869030006394141369018970913166355438766004713*t^12 + 235564156992181453042154815002387398910368532792603837300587857107936885368547639858510743135955919149465600000000/483996195869030006394141369018970913166355438766004713*t^11 - 728901391004734273406405762815668723382407951562360357728899049255335645717279424751637607131603090905497600000000/483996195869030006394141369018970913166355438766004713*t^10 + 1800122909631149539576612785843789250403812315659525633867087149874159411565304366309167251803660384993280000000000/483996195869030006394141369018970913166355438766004713*t^9 - 3474989653762989136294687311195416861680616367288817746653796641093522604987532739095934487585458969640960000000000/483996195869030006394141369018970913166355438766004713*t^8 + 5108308038040013458685693927017749083077702406284634705639060106161438300340635228080905745118419023298560000000000/483996195869030006394141369018970913166355438766004713*t^7 - 5529734466146280453638835116123724177751644659616757302209090679025468137603208443538699490240127037341696000000000/483996195869030006394141369018970913166355438766004713*t^6 + 4216207245974819491072122589742083078887603399396442322935901907514982362497780350644351705794313847832576000000000/483996195869030006394141369018970913166355438766004713*t^5 - 2129189218766973024635830258106805198457088719574695232305701102951679744063624924295058917341596431155200000000000/483996195869030006394141369018970913166355438766004713*t^4 + 650690704115661101152661589700284028334045337402997487843024097099149851064451693241870710182380988006400000000000/483996195869030006394141369018970913166355438766004713*t^3 - 104139195287038888342812110602875205788969511380107791827949097425845719650488172024693153057068181094400000000000/483996195869030006394141369018970913166355438766004713*t^2 + 6682894642865600532916184698485781524086684777419208667216775150670857918510896765648810257334486958080000000000/483996195869030006394141369018970913166355438766004713*t - 89325476671376084343578831136337929474359219539757300839475059834296779741076338555372130884942561280000000000/483996195869030006394141369018970913166355438766004713
-------------------------------------------------
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: 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:
| (136.95299461373985216 + 1.2047313213887475303e-640j)  +/-  (1.16e-236, 1.16e-236j)
| (126.95987401677809804 + 5.5155206004467657915e-639j)  +/-  (1.07e-235, 1.07e-235j)
| (78.108398192895851531 + 1.6015977991477931834e-635j)  +/-  (1.7e-232, 1.7e-232j)
| (163.4095196771010299 - 1.7110522446717227669e-649j)  +/-  (1.74e-239, 1.74e-239j)
| (148.62853824629617402 + 1.8134614537074792246e-647j)  +/-  (7.18e-238, 7.18e-238j)
| (89.593250793183736492 + 1.181330535436156059e-641j)  +/-  (5.76e-233, 5.76e-233j)
| (67.927533002269364276 + 5.2589960540792328308e-652j)  +/-  (3.01e-232, 3.01e-232j)
| (11.146715278724683836 - 6.5647118501553733802e-674j)  +/-  (1.37e-239, 1.37e-239j)
| (102.7250616988535611 - 7.8912111104877896713e-666j)  +/-  (9.09e-234, 9.09e-234j)
| (63.253970448807780389 + 5.8186646183939138125e-669j)  +/-  (3.23e-232, 3.23e-232j)
| (30.75556008747586481 - 3.6051351383684180032e-677j)  +/-  (3.28e-234, 3.28e-234j)
| (118.09730031875438373 + 1.2041765660975740393e-682j)  +/-  (6.35e-235, 6.35e-235j)
| (72.870815120498379261 - 1.2225462336236439078e-678j)  +/-  (2.48e-232, 2.48e-232j)
| (95.9245096552730951 + 6.7559749477530733802e-689j)  +/-  (2.55e-233, 2.55e-233j)
| (6.9043802431756018288 + 1.8770134171473034793e-710j)  +/-  (4.08e-242, 4.08e-242j)
| (9.6138368048287384378 + 6.549011166546722642e-709j)  +/-  (2.26e-240, 2.26e-240j)
| (83.670191431411985689 + 3.6105228163650861443e-701j)  +/-  (1.12e-232, 1.12e-232j)
| (110.07725538364704234 + 2.1950559847172242869e-710j)  +/-  (2.63e-234, 2.63e-234j)
| (43.31277920393489534 - 1.3425013959317303393e-729j)  +/-  (7.83e-233, 7.83e-233j)
| (54.637144579496560594 + 2.2424047689639968706e-770j)  +/-  (2.5e-232, 2.5e-232j)
| (14.579432917669266768 - 6.5018755144280295669e-799j)  +/-  (4.22e-238, 4.22e-238j)
| (12.801126842771254816 - 4.3218916846955371773e-801j)  +/-  (9.19e-239, 9.19e-239j)
| (2.863760135992673715 - 4.8760498385080440368e-820j)  +/-  (4.33e-246, 4.33e-246j)
| (5.7241734487693312804 + 1.0427316176409217381e-816j)  +/-  (4.91e-243, 4.91e-243j)
| (58.829618001172223702 - 2.5592947439522063716e-804j)  +/-  (3.08e-232, 3.08e-232j)
| (33.646946772512718232 - 7.9857791088154852598e-832j)  +/-  (9.05e-234, 9.05e-234j)
| (1.5120367708543176102 - 1.1420062804249794214e-868j)  +/-  (2.32e-248, 2.32e-248j)
| (2.133027822754438783 - 1.5207724832139548836e-867j)  +/-  (3.89e-247, 3.89e-247j)
| (4.6582125379531994557 - 3.8141272602535522491e-864j)  +/-  (6.37e-244, 6.37e-244j)
| (50.661745347484278412 + 9.9847252740741847646e-852j)  +/-  (1.93e-232, 1.93e-232j)
| (3.7051400521436576725 - 1.6131687726798966094e-878j)  +/-  (5.67e-245, 5.67e-245j)
| (1 + 5.4927473700898258876e-883j)  +/-  (1.35e-249, 1.35e-249j)
| (8.2003630342134073421 + 1.8492095943504662689e-874j)  +/-  (3.07e-241, 3.07e-241j)
| (16.484249222002637298 + 3.4612572413829047516e-870j)  +/-  (2.24e-237, 2.24e-237j)
| (46.890655252530600702 + 7.1298312747020256712e-865j)  +/-  (1.35e-232, 1.35e-232j)
| (36.698985194869166859 - 4.9734255765003256379e-869j)  +/-  (2.01e-233, 2.01e-233j)
| (18.518470456287595118 + 5.1298274010977822439e-874j)  +/-  (8.71e-237, 8.71e-237j)
| (28.018816452102770642 + 2.0527304982226405752e-871j)  +/-  (1.32e-234, 1.32e-234j)
| (0.59620425993968069958 - 1.5682143198828109825e-888j)  +/-  (8.64e-251, 8.64e-251j)
| (20.685299046087430605 + 5.0086247030703679986e-873j)  +/-  (3.87e-236, 3.87e-236j)
| (39.918406216204051623 - 4.2450258335157217093e-869j)  +/-  (4.49e-233, 4.49e-233j)
| (22.988278731042918242 - 1.1548295218305123587e-875j)  +/-  (1.37e-235, 1.37e-235j)
| (0.10930635935736957255 - 6.8515449973630773043e-893j)  +/-  (1.7e-253, 1.7e-253j)
| (0.29985222142130232438 - 1.9432144606506530636e-892j)  +/-  (3.36e-252, 3.36e-252j)
| (25.431333978711560059 - 1.8588455531022095099e-874j)  +/-  (4.61e-235, 4.61e-235j)
| (0.017772412933144770946 - 3.4231273520237402321e-894j)  +/-  (5.3e-255, 5.3e-255j)
-------------------------------------------------
The weights are:
| (3.561938013074318453e-59 + 4.1275614346544222728e-683j)  +/-  (1.61e-65, 5.53e-179j)
| (6.8166057477947711358e-55 - 6.8779129726109621502e-681j)  +/-  (3.05e-64, 1.05e-177j)
| (6.4547456857645902027e-34 - 5.1689079118278764879e-669j)  +/-  (2.33e-56, 8e-170j)
| (1.8851999085864462817e-70 + 6.5508048181127819702e-689j)  +/-  (4.83e-70, 1.66e-183j)
| (3.6322122237938526842e-64 - 1.0998565970457634279e-685j)  +/-  (1.06e-67, 3.64e-181j)
| (7.5297189238282183866e-39 + 3.074510996886380617e-672j)  +/-  (9.69e-60, 3.33e-173j)
| (1.517446819870287329e-29 - 1.5568357344160070616e-667j)  +/-  (6.17e-56, 2.12e-169j)
| (2.2979091673068684324e-05 + 2.9069752994201008301e-656j)  +/-  (4.3e-29, 1.48e-142j)
| (1.7214743091915881171e-44 + 2.168951127224762092e-675j)  +/-  (1.65e-62, 5.69e-176j)
| (1.5373147406717170327e-27 + 1.0739487886331054085e-666j)  +/-  (1.42e-55, 4.89e-169j)
| (1.2365681112754686231e-13 - 3.0201404192026684246e-660j)  +/-  (3.84e-47, 1.32e-160j)
| (4.3206828405665620061e-51 + 6.689291480095341761e-679j)  +/-  (4.05e-65, 1.39e-178j)
| (1.1454560526059818192e-31 + 2.6293029690701199796e-668j)  +/-  (1.9e-57, 6.52e-171j)
| (1.4356150149513864514e-41 - 8.6541962347015256016e-674j)  +/-  (8.82e-62, 3.03e-175j)
| (0.0012420095607800875954 - 2.0068843293685475734e-655j)  +/-  (2.79e-31, 9.6e-145j)
| (9.8382816511910737903e-05 - 5.8781323064878646296e-656j)  +/-  (3.38e-35, 1.16e-148j)
| (2.6367668244184419275e-36 - 1.18802051860530646e-670j)  +/-  (8.93e-60, 3.07e-173j)
| (1.1979931035262140451e-47 - 4.4059167342850881884e-677j)  +/-  (1.79e-64, 6.17e-178j)
| (5.3907983428629750585e-19 - 8.5837199722112700356e-663j)  +/-  (1.19e-55, 4.1e-169j)
| (7.6247509797810156142e-24 + 4.7863635923469200758e-665j)  +/-  (2.15e-57, 7.39e-171j)
| (8.576513792938912984e-07 + 5.9228323145998380407e-657j)  +/-  (4.49e-45, 1.55e-158j)
| (4.7319981696103946491e-06 - 1.352995087059602632e-656j)  +/-  (2.6e-43, 8.93e-157j)
| (0.044838258054923587257 - 1.1349276986622376009e-654j)  +/-  (3.23e-31, 1.11e-144j)
| (0.0036672652879726062463 + 3.389591464306075592e-655j)  +/-  (1.08e-36, 3.7e-150j)
| (1.2152641660714457045e-25 - 7.3569886377781379485e-666j)  +/-  (4.75e-58, 1.63e-171j)
| (7.247176127217677321e-15 + 7.7874869476985693001e-661j)  +/-  (8e-55, 2.75e-168j)
| (0.12486688649573096722 - 1.8454442703551415234e-654j)  +/-  (5.32e-30, 1.83e-143j)
| (0.080058136442912220781 + 1.49722906365276255e-654j)  +/-  (2.28e-32, 7.85e-146j)
| (0.0095716346421650836424 - 5.3908875846398696067e-655j)  +/-  (9.3e-38, 3.2e-151j)
| (3.8524470998433528646e-22 - 2.9093194598302528989e-664j)  +/-  (9.85e-58, 3.39e-171j)
| (0.022064284414617521592 + 8.0682486690041880999e-655j)  +/-  (3.24e-37, 1.11e-150j)
| (0.16841493024168460017 + 2.1105922963668334487e-654j)  +/-  (1.58e-33, 5.42e-147j)
| (0.00037186301769170730225 + 1.1191621573774286377e-655j)  +/-  (1.95e-42, 6.7e-156j)
| (1.3653054477060412517e-07 - 2.4366975895478622276e-657j)  +/-  (1.84e-49, 6.33e-163j)
| (1.5872284428423167342e-20 + 1.6417697189986069937e-663j)  +/-  (1.33e-57, 4.58e-171j)
| (3.6141600014518649794e-16 - 1.8673678035097526666e-661j)  +/-  (1.99e-56, 6.85e-170j)
| (1.9043304197107181337e-08 + 9.4126777731977452988e-658j)  +/-  (4.68e-52, 1.61e-165j)
| (1.8058039751504826748e-12 + 1.0909759269739350648e-659j)  +/-  (1.67e-55, 5.76e-169j)
| (0.19276871961461081881 - 2.2085917727548950193e-654j)  +/-  (1.96e-44, 6.72e-158j)
| (2.3207426804356739344e-09 - 3.4104159666654021452e-658j)  +/-  (8.49e-54, 2.92e-167j)
| (1.5237066287568967888e-17 + 4.157687843337530885e-662j)  +/-  (5.06e-58, 1.74e-171j)
| (2.4631587463771407137e-10 + 1.1576378230587519349e-658j)  +/-  (4.48e-55, 1.54e-168j)
| (0.12456067718462656078 - 1.5089424435063654989e-654j)  +/-  (3e-49, 1e-162j)
| (0.18005514363835700172 + 2.0447522771521539447e-654j)  +/-  (3.19e-49, 1.07e-162j)
| (2.2686346269888561286e-11 - 3.6765954971726992599e-659j)  +/-  (1.11e-55, 3.84e-169j)
| (0.047393081680662398945 + 5.6647715663098937954e-655j)  +/-  (1.24e-49, 4.15e-163j)
