Starting with polynomial:
P : t^9 - 36*t^7 + 378*t^5 - 1260*t^3 + 945*t
Extension levels are: 9 18
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Trying to find an order 18 Kronrod extension for:
P1 : t^9 - 36*t^7 + 378*t^5 - 1260*t^3 + 945*t
Solvable: 1
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Ending with final polynomial:
P : t^27 - 714658329/2285023*t^25 + 94140973278/2285023*t^23 - 75557276706006/25135253*t^21 + 16896449197580211/125676265*t^19 - 484421864565957381/125676265*t^17 + 9051999606133351308/125676265*t^15 - 1692532392766158132/1933481*t^13 + 1194206228993423709/175771*t^11 - 5707020368910312459/175771*t^9 + 15785851898960492454/175771*t^7 - 22744883366833267962/175771*t^5 + 14009296299489055215/175771*t^3 - 2310749345160580905/175771*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
-------------------------------------------------
The nodes are:
| (5.2281319434981062042 - 4.6322780081512640366e-453j)  +/-  (2.28e-121, 2.28e-121j)
| (5.993688157176772722 + 2.6177142875223055559e-464j)  +/-  (2.59e-121, 2.59e-121j)
| (-3.2054290028564699434 + 8.5822035924710563707e-467j)  +/-  (3.05e-122, 3.05e-122j)
| (-9.0544376560122792922 - 3.3695210717180452691e-468j)  +/-  (9.85e-123, 9.85e-123j)
| (-7.7855190065153422328 + 1.8588489159820161895e-467j)  +/-  (5.79e-122, 5.79e-122j)
| (9.0544376560122792922 + 5.5205587193591619497e-470j)  +/-  (1.01e-122, 1.01e-122j)
| (-6.8299593869116292519 + 5.904978937724196436e-467j)  +/-  (1.67e-121, 1.67e-121j)
| (-3.8387362162907211889 + 1.2992004646000522232e-466j)  +/-  (8.47e-122, 8.47e-122j)
| (-4.5127458633997826676 + 8.4539218430518268507e-467j)  +/-  (1.73e-121, 1.73e-121j)
| (7.7855190065153422328 - 4.5856861509259516374e-468j)  +/-  (6.35e-122, 6.35e-122j)
| (1.0232556637891325248 - 2.2693149314540928418e-473j)  +/-  (3.12e-125, 3.12e-125j)
| (6.8299593869116292519 - 3.2843218977814786752e-471j)  +/-  (1.75e-121, 1.75e-121j)
| (-5.993688157176772722 - 7.6297091880907052864e-472j)  +/-  (2.56e-121, 2.56e-121j)
| (1.5528667339940234452 - 2.6841977889682202672e-475j)  +/-  (3.19e-124, 3.19e-124j)
| (3.2054290028564699434 + 1.6759559948431811671e-472j)  +/-  (3.38e-122, 3.38e-122j)
| (-2.6184553963388450837 - 3.6693912055826050576e-479j)  +/-  (8.85e-123, 8.85e-123j)
| (-5.2281319434981062042 - 5.0129416630971062506e-479j)  +/-  (2.53e-121, 2.53e-121j)
| (3.8387362162907211889 + 4.090533408000835396e-481j)  +/-  (9.54e-122, 9.54e-122j)
| (-1.0232556637891325248 - 8.1901340712026794776e-496j)  +/-  (3.47e-125, 3.47e-125j)
| (-1.0137787905208194719e-495 - 1.8527681344001183452e-495j)  +/-  (5.7e-494, 5.7e-494j)
| (4.5127458633997826676 - 1.1828950711227752877e-492j)  +/-  (1.64e-121, 1.64e-121j)
| (2.0768479786778301065 - 2.5836339409444562185e-499j)  +/-  (2.06e-123, 2.06e-123j)
| (2.6184553963388450837 + 2.7598340632735394457e-507j)  +/-  (8.44e-123, 8.44e-123j)
| (-0.50085430408870017975 + 5.0219380910713084285e-514j)  +/-  (3.51e-126, 3.51e-126j)
| (-1.5528667339940234452 - 9.3493055963500266196e-512j)  +/-  (3.4e-124, 3.4e-124j)
| (-2.0768479786778301065 - 2.0837320617096753132e-515j)  +/-  (2.29e-123, 2.29e-123j)
| (0.50085430408870017975 - 2.2288448368096431204e-522j)  +/-  (3.51e-126, 3.51e-126j)
-------------------------------------------------
The weights are:
| (3.4178061894529755659e-07 + 4.9629273164564179441e-459j)  +/-  (4.62e-34, 4.4e-94j)
| (5.023540079091894527e-09 + 1.752152725434381422e-460j)  +/-  (1.24e-35, 1.18e-95j)
| (0.0014323348884061880866 - 4.9244353903232870533e-458j)  +/-  (2.64e-30, 2.51e-90j)
| (1.0837822019771206018e-18 + 8.0539736221039221692e-467j)  +/-  (6.67e-42, 6.35e-102j)
| (2.8809671516532791341e-14 - 1.4361232737220114524e-464j)  +/-  (2.32e-40, 2.21e-100j)
| (1.0837822019771206018e-18 - 3.0063316277660129897e-466j)  +/-  (3.68e-43, 3.5e-103j)
| (2.6159475585635677336e-11 + 5.9138723258910019657e-463j)  +/-  (2.68e-39, 2.56e-99j)
| (0.0001647218833267656843 + 9.243278791460490315e-459j)  +/-  (1.35e-34, 1.29e-94j)
| (1.0472693832366714446e-05 - 1.3579124509646055195e-459j)  +/-  (3.95e-36, 3.76e-96j)
| (2.8809671516532791341e-14 + 7.3079305341302428189e-464j)  +/-  (1.52e-42, 1.45e-102j)
| (0.12526924758559593975 - 3.6647100069064325058e-456j)  +/-  (1.38e-28, 1.32e-88j)
| (2.6159475585635677336e-11 - 4.4517911660984260654e-462j)  +/-  (3.85e-41, 3.67e-101j)
| (5.023540079091894527e-09 - 1.1953242827291318105e-461j)  +/-  (9.51e-40, 9.05e-100j)
| (0.062874965231752365608 + 2.4876431334652956252e-456j)  +/-  (5.3e-33, 5.05e-93j)
| (0.0014323348884061880866 - 2.0532192422495202219e-457j)  +/-  (2e-37, 1.9e-97j)
| (0.0072770347243512298166 + 2.0138459345988486429e-457j)  +/-  (1.11e-35, 1.05e-95j)
| (3.4178061894529755659e-07 + 1.514138187277350171e-460j)  +/-  (7.21e-39, 6.87e-99j)
| (0.0001647218833267656843 + 6.0319452927906458256e-458j)  +/-  (8.56e-39, 8.16e-99j)
| (0.12526924758559593975 - 2.4649970771427392992e-456j)  +/-  (7.52e-35, 7.17e-95j)
| (0.19734545269713548815 - 4.7595858666417874533e-456j)  +/-  (1.27e-35, 1.21e-95j)
| (1.0472693832366714446e-05 - 1.8489679384776573969e-458j)  +/-  (1.32e-39, 1.26e-99j)
| (0.024298269920829150741 - 1.3956046802886864138e-456j)  +/-  (2.5e-37, 2.38e-97j)
| (0.0072770347243512298166 + 6.0550868007164811293e-457j)  +/-  (6.94e-38, 6.6e-98j)
| (0.1799998798929909388 + 3.817395988261663181e-456j)  +/-  (8.76e-37, 8.35e-97j)
| (0.062874965231752365608 + 1.3482893445223298702e-456j)  +/-  (2.77e-38, 2.65e-98j)
| (0.024298269920829150741 - 6.0204773963402620451e-457j)  +/-  (9.49e-39, 8.86e-99j)
| (0.1799998798929909388 + 4.6263009678184633786e-456j)  +/-  (8.22e-38, 9.16e-98j)
