Starting with polynomial:
P : -t+1
Extension levels are: 1 6 13
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Trying to find an order 6 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Trying to find an order 13 Kronrod extension for:
P2 : -t^7 + 8861/185*t^6 - 155826/185*t^5 + 253590/37*t^4 - 989880/37*t^3 + 1737720/37*t^2 - 1129104/37*t + 157104/37
Solvable: 1
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Ending with final polynomial:
P : -t^20 + 752089194571788570728414557926772001746048837156649676706031401266347/2333310645066918726436524545009735180978277299888392238579524071870*t^19 - 107844328782198048824368161679444262398750316964847618844738507353676477/2333310645066918726436524545009735180978277299888392238579524071870*t^18 + 1520131042152057404868840991849318697225507361965014721640716332975918464/388885107511153121072754090834955863496379549981398706429920678645*t^17 - 84763172684997279516578363312705666288506410225123787398420372779565550302/388885107511153121072754090834955863496379549981398706429920678645*t^16 + 3300182128809861302713121735694070169765613299936805822408967894735264408713/388885107511153121072754090834955863496379549981398706429920678645*t^15 - 129780991387449968578272808511997998641357845164927959496442646709922641515905/544439150515614369501855727168938208894931369973958189001888950103*t^14 + 2680444556662456457279528491011567303133192074893174782964959734411412791080130/544439150515614369501855727168938208894931369973958189001888950103*t^13 - 41117542246699048880174370215367459395687427279068637491637481739628759665853810/544439150515614369501855727168938208894931369973958189001888950103*t^12 + 470117745529470572691295780368195987569789259177498147011379808162577863270811880/544439150515614369501855727168938208894931369973958189001888950103*t^11 - 3998667381403374589877639591301211996874888072856135946518764106675436018077112920/544439150515614369501855727168938208894931369973958189001888950103*t^10 + 25124412913097791024871142032812736605029310730431003278939350176341702256934877840/544439150515614369501855727168938208894931369973958189001888950103*t^9 - 115169090157624001824858068699302854663880719088794001367260002876393145623471429840/544439150515614369501855727168938208894931369973958189001888950103*t^8 + 377972226875210251018101657950080440308214465966813825807811851323041834577312407680/544439150515614369501855727168938208894931369973958189001888950103*t^7 - 123494339879588589635495419084583782188113004329874995721697897553344532595345582720/77777021502230624214550818166991172699275909996279741285984135729*t^6 + 189425501053401159379011196341484987637514681725881448219142238390594561565701658880/77777021502230624214550818166991172699275909996279741285984135729*t^5 - 184401682208484970620402997013929802404006243473466369600553408650427512784802105600/77777021502230624214550818166991172699275909996279741285984135729*t^4 + 105080697977725623610771262279956759893656991883141997799225150784501201446841113600/77777021502230624214550818166991172699275909996279741285984135729*t^3 - 31192300739491601760709310705052054508076655737612272836748598038016328445112755200/77777021502230624214550818166991172699275909996279741285984135729*t^2 + 4142959589770734624731926358629427584718905710536096355997334965738652933373081600/77777021502230624214550818166991172699275909996279741285984135729*t - 183755453306419234861395875138105296115918587523622626068679487349624426986854400/77777021502230624214550818166991172699275909996279741285984135729
-------------------------------------------------
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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (63.224141857716257278 + 4.9401835869528049528e-310j)  +/-  (1.15e-120, 1.15e-120j)
| (33.515379247292623381 - 4.2031962977290689086e-306j)  +/-  (1.76e-118, 1.76e-118j)
| (48.95902743561424661 + 1.7916995201791538978e-309j)  +/-  (1.73e-119, 1.73e-119j)
| (40.3022856967814236 + 6.3897971315385876281e-314j)  +/-  (7.65e-119, 7.65e-119j)
| (27.884723183764026618 + 2.0355549173236809061e-326j)  +/-  (3.28e-118, 3.28e-118j)
| (3.4348400197620303602 + 6.3456618729341315079e-344j)  +/-  (5.6e-121, 5.6e-121j)
| (15.457088593351645176 - 2.404928893685947619e-358j)  +/-  (2.57e-118, 2.57e-118j)
| (9.9589249273526437607 - 3.332439849846501606e-378j)  +/-  (8.49e-119, 8.49e-119j)
| (18.989963815544515587 + 1.9325042319035696525e-391j)  +/-  (3.07e-118, 3.07e-118j)
| (4.779596384709730006 - 9.6888569747038550209e-402j)  +/-  (2.83e-120, 2.83e-120j)
| (1 - 2.4136132763247192798e-410j)  +/-  (1.09e-123, 1.09e-123j)
| (1.7719081974826333062 - 4.1948512791899636501e-409j)  +/-  (1.92e-122, 1.92e-122j)
| (0.40093475122014660078 + 7.5504122425794734638e-411j)  +/-  (5.61e-125, 5.61e-125j)
| (12.448513062956781353 + 5.6297207922374758831e-404j)  +/-  (1.61e-118, 1.61e-118j)
| (0.086832883595597307911 + 8.5381393488637870756e-418j)  +/-  (1.95e-126, 1.95e-126j)
| (2.5026000900489822054 + 4.583424853071676871e-413j)  +/-  (1.27e-121, 1.27e-121j)
| (0.18796958875044643007 - 4.6389947805869424845e-418j)  +/-  (1.09e-125, 1.09e-125j)
| (6.3343516577289841242 - 3.0634950206277205545e-411j)  +/-  (1.09e-119, 1.09e-119j)
| (23.099338942896939065 - 3.766920357153340331e-417j)  +/-  (3.67e-118, 3.67e-118j)
| (7.9886543552868417152 - 3.4569428963585797397e-424j)  +/-  (3.66e-119, 3.66e-119j)
-------------------------------------------------
The weights are:
| (9.5589990869280342473e-27 + 8.1086275331546930251e-328j)  +/-  (5.31e-53, 1.8e-111j)
| (1.7080568564312138323e-14 + 4.0966513595319071838e-320j)  +/-  (3.06e-48, 1.04e-106j)
| (5.5225593706627747636e-21 - 1.2325526421319491905e-324j)  +/-  (2.49e-51, 8.45e-110j)
| (2.3675391126828407451e-17 + 2.6118858171665650248e-322j)  +/-  (7.72e-50, 2.62e-108j)
| (4.0128693558901311683e-12 - 3.0840234551253387026e-319j)  +/-  (7.04e-48, 2.39e-106j)
| (0.03765690799118514993 + 1.1391083173847099554e-312j)  +/-  (5.5e-37, 1.87e-95j)
| (6.3248817195287568793e-07 + 2.1206735209193640233e-316j)  +/-  (1.57e-45, 5.33e-104j)
| (0.00010510963063468515262 + 9.7543097177010479654e-315j)  +/-  (9.11e-44, 3.09e-102j)
| (2.1554961917821116531e-08 - 2.5598799099165167834e-317j)  +/-  (7.72e-47, 2.62e-105j)
| (0.012455099958202547813 - 3.8182887806878350989e-313j)  +/-  (3.37e-41, 1.14e-99j)
| (0.26044791697283265384 - 3.4796249485880951692e-312j)  +/-  (4.13e-37, 1.4e-95j)
| (0.13388211124445410214 + 3.1969914785030654133e-312j)  +/-  (3.11e-38, 1.05e-96j)
| (0.32781180573109015219 + 6.5228337744091772546e-312j)  +/-  (2.46e-37, 8.35e-96j)
| (1.0798726340756296249e-05 - 1.5649614118265913429e-315j)  +/-  (5.08e-45, 1.72e-103j)
| (0.21954377179639070932 + 4.1961209629495798138e-312j)  +/-  (6.94e-38, 2.35e-96j)
| (0.059683535126400381406 - 2.4723157744459164649e-312j)  +/-  (9.01e-40, 3.06e-98j)
| (-0.055032791947200408545 - 8.8219048643073452787e-312j)  +/-  (6.51e-38, 2.21e-96j)
| (0.0028398049775929172965 + 1.3560891426559343144e-313j)  +/-  (5.6e-43, 1.9e-101j)
| (4.1126277279957566749e-10 + 2.7989057356011213817e-318j)  +/-  (7.83e-49, 2.69e-107j)
| (0.00059527533364973606208 - 4.3367330690713197559e-314j)  +/-  (8.09e-44, 2.73e-102j)
