Starting with polynomial:
P : 512*t^9 - 9216*t^7 + 48384*t^5 - 80640*t^3 + 30240*t
Extension levels are: 9 18
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Trying to find an order 18 Kronrod extension for:
P1 : 512*t^9 - 9216*t^7 + 48384*t^5 - 80640*t^3 + 30240*t
Solvable: 1
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Ending with final polynomial:
P : 512*t^27 - 182952532224/2285023*t^25 + 12050044579584/2285023*t^23 - 4835665709184384/25135253*t^21 + 540686374322566752/125676265*t^19 - 7750749833055318096/125676265*t^17 + 72415996849066810464/125676265*t^15 - 6770129571064632528/1933481*t^13 + 2388412457986847418/175771*t^11 - 5707020368910312459/175771*t^9 + 7892925949480246227/175771*t^7 - 11372441683416633981/351542*t^5 + 14009296299489055215/1406168*t^3 - 2310749345160580905/2812336*t
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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
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The nodes are:
| (5.5051932845637509702 + 2.0035272888538388969e-433j)  +/-  (4.56e-122, 4.56e-122j)
| (-5.5051932845637509702 - 7.5956844464478030758e-435j)  +/-  (4.37e-122, 4.37e-122j)
| (-6.4024542663971110364 - 4.1725565352677590994e-440j)  +/-  (6.68e-123, 6.68e-123j)
| (-4.8295105977139277072 - 6.0318925192742769069e-444j)  +/-  (1.31e-121, 1.31e-121j)
| (2.714396409725558358 + 1.8808092802802956466e-450j)  +/-  (5.87e-122, 5.87e-122j)
| (4.2381775402571974952 + 3.2265991513666938343e-450j)  +/-  (1.81e-121, 1.81e-121j)
| (1.8515275669857063044 - 3.54016017272086084e-452j)  +/-  (6.53e-123, 6.53e-123j)
| (-3.1909932017815276072 - 2.6018158696061266518e-450j)  +/-  (1.19e-121, 1.19e-121j)
| (3.6968475501855148289 + 1.5269217213891819908e-455j)  +/-  (1.63e-121, 1.63e-121j)
| (2.2665805845318431118 - 1.6195742744381965501e-457j)  +/-  (2.29e-122, 2.29e-122j)
| (1.4685532892166679317 - 4.7031247374352908259e-459j)  +/-  (1.59e-123, 1.59e-123j)
| (6.4024542663971110364 - 1.1268248753417651626e-459j)  +/-  (6.92e-123, 6.92e-123j)
| (-1.4685532892166679317 - 7.8396475863247402476e-459j)  +/-  (1.51e-123, 1.51e-123j)
| (-1.0980425978861806365 + 1.7746013762472858366e-463j)  +/-  (2.68e-124, 2.68e-124j)
| (-3.6968475501855148289 + 7.4873592312899183243e-462j)  +/-  (1.88e-121, 1.88e-121j)
| (3.1909932017815276072 - 1.1563895905317743664e-471j)  +/-  (1.14e-121, 1.14e-121j)
| (-2.714396409725558358 - 1.4830671735975274872e-471j)  +/-  (6.14e-122, 6.14e-122j)
| (1.0980425978861806365 + 8.1677787322825959132e-484j)  +/-  (2.74e-124, 2.74e-124j)
| (-0.72355101875283757332 - 2.5587797574747493752e-481j)  +/-  (2.63e-125, 2.63e-125j)
| (-1.8515275669857063044 + 5.0114744829443224458e-481j)  +/-  (6.63e-123, 6.63e-123j)
| (3.021959712906198418e-492 - 5.8182712441823835009e-492j)  +/-  (1.77e-490, 1.77e-490j)
| (0.72355101875283757332 + 3.1240447401195500599e-491j)  +/-  (2.52e-125, 2.52e-125j)
| (-4.2381775402571974952 - 2.7320243259759957064e-487j)  +/-  (1.98e-121, 1.98e-121j)
| (-2.2665805845318431118 - 1.7107517090038828589e-494j)  +/-  (2.16e-122, 2.16e-122j)
| (-0.35415747480758905309 - 1.5032779404212287288e-499j)  +/-  (2.37e-126, 2.37e-126j)
| (4.8295105977139277072 - 3.2510885844699684444e-497j)  +/-  (1.35e-121, 1.35e-121j)
| (0.35415747480758905309 - 7.0067468861770092856e-504j)  +/-  (2.38e-126, 2.38e-126j)
-------------------------------------------------
The weights are:
| (2.8809671516532791341e-14 - 3.3211508957887992787e-446j)  +/-  (1.71e-48, 2.04e-108j)
| (2.8809671516532791341e-14 - 1.7825876406992110243e-447j)  +/-  (8.5e-49, 1.01e-108j)
| (1.0837822019771206018e-18 + 1.4824408221366160212e-450j)  +/-  (9.45e-51, 1.12e-110j)
| (2.6159475585635677336e-11 + 3.3667830801520510685e-446j)  +/-  (1.13e-47, 1.34e-107j)
| (0.0001647218833267656843 + 9.3940405754411247642e-442j)  +/-  (1.53e-43, 1.81e-103j)
| (5.023540079091894527e-09 - 3.2858332954500908477e-444j)  +/-  (5.06e-48, 6.01e-108j)
| (0.0072770347243512298166 + 1.3608868986527673165e-440j)  +/-  (5.31e-41, 6.3e-101j)
| (1.0472693832366714446e-05 - 5.3669252411629691066e-443j)  +/-  (1.42e-46, 1.68e-106j)
| (3.4178061894529755659e-07 + 2.7241239900519825328e-443j)  +/-  (6.5e-47, 7.71e-107j)
| (0.0014323348884061880866 - 4.0230793163968818186e-441j)  +/-  (6e-43, 7.12e-103j)
| (0.024298269920829150741 - 3.4387447349969028597e-440j)  +/-  (6.76e-41, 8.03e-101j)
| (1.0837822019771206018e-18 - 3.948189959736293631e-449j)  +/-  (2.13e-53, 2.52e-113j)
| (0.024298269920829150741 - 2.0752885873356742118e-440j)  +/-  (1.4e-42, 1.66e-102j)
| (0.062874965231752365608 + 4.5191488153937262041e-440j)  +/-  (4.27e-41, 5.06e-101j)
| (3.4178061894529755659e-07 + 6.3388639585026646393e-444j)  +/-  (1.18e-48, 1.4e-108j)
| (1.0472693832366714446e-05 - 1.7830817406182623474e-442j)  +/-  (1.44e-46, 1.71e-106j)
| (0.0001647218833267656843 + 3.5006402122714003789e-442j)  +/-  (6.54e-47, 7.76e-107j)
| (0.062874965231752365608 + 6.5692199299057552851e-440j)  +/-  (6.78e-43, 7.87e-103j)
| (0.12526924758559593975 - 8.018070659005541451e-440j)  +/-  (2.67e-43, 3.11e-103j)
| (0.0072770347243512298166 + 7.1402460215633555302e-441j)  +/-  (2.62e-45, 3.1e-105j)
| (0.19734545269713548815 - 1.4489259031897857118e-439j)  +/-  (1.07e-43, 1.22e-103j)
| (0.12526924758559593975 - 1.0242773954338903489e-439j)  +/-  (6.24e-44, 7.32e-104j)
| (5.023540079091894527e-09 - 5.4914941494586184668e-445j)  +/-  (3.63e-50, 4.28e-110j)
| (0.0014323348884061880866 - 1.8005519724849185378e-441j)  +/-  (1.45e-46, 1.74e-106j)
| (0.1799998798929909388 + 1.2024705210375378768e-439j)  +/-  (2e-44, 2.17e-104j)
| (2.6159475585635677336e-11 + 3.2675749014433052882e-445j)  +/-  (6.75e-52, 9.03e-112j)
| (0.1799998798929909388 + 1.3549758523311964877e-439j)  +/-  (1.32e-44, 1.29e-104j)
