Starting with polynomial:
P : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Extension levels are: 8 17
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Trying to find an order 17 Kronrod extension for:
P1 : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Solvable: 1
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Ending with final polynomial:
P : 256*t^25 - 57961984/1227*t^23 + 43901474176/13497*t^21 - 2589874028672/22495*t^19 + 159395985942704/67485*t^17 - 399280258325312/13497*t^15 + 1035470869257328/4499*t^13 - 4970997877854736/4499*t^11 + 1300482287966407/409*t^9 - 2120024548296018/409*t^7 + 3540844411735995/818*t^5 - 1251668089579635/818*t^3 + 952148658919185/6544*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:
| (-4.663251008707602308 + 2.6093090622613653279e-394j)  +/-  (2.17e-122, 2.17e-122j)
| (9.0681151209021188897 + 3.9716375378358691947e-395j)  +/-  (1.68e-124, 1.68e-124j)
| (5.4231065343742100464 - 1.6268585417806099235e-396j)  +/-  (5.41e-123, 5.41e-123j)
| (-3.4573092045247820665 + 9.9058861664628469352e-406j)  +/-  (4.11e-122, 4.11e-122j)
| (-9.0681151209021188897 - 1.6144164822500893617e-413j)  +/-  (1.61e-124, 1.61e-124j)
| (4.663251008707602308 + 4.7861743408659956054e-416j)  +/-  (2.26e-122, 2.26e-122j)
| (2.9306374202572440192 + 2.2059015768057764028e-426j)  +/-  (2.14e-122, 2.14e-122j)
| (-2.4393988283860606007 + 2.1316467840334893735e-438j)  +/-  (1.26e-122, 1.26e-122j)
| (-1.9816567566958429259 - 1.9529646271365645289e-437j)  +/-  (4.87e-123, 4.87e-123j)
| (4.0278228305267416027 - 4.3949541047278707377e-437j)  +/-  (4.06e-122, 4.06e-122j)
| (1.1571937124467801947 + 7.9480098517348270403e-445j)  +/-  (2.15e-124, 2.15e-124j)
| (1.5569300048018579369 - 4.5357141146250467565e-444j)  +/-  (1.19e-123, 1.19e-123j)
| (-4.0278228305267416027 - 2.2224590433562801515e-447j)  +/-  (3.86e-122, 3.86e-122j)
| (3.4573092045247820665 + 4.3590851857277660351e-445j)  +/-  (3.82e-122, 3.82e-122j)
| (-3.9131856495668368975e-459 - 1.8105536656816874704e-459j)  +/-  (1.08e-457, 1.08e-457j)
| (0.76729374730734900677 - 2.5275671701125886601e-453j)  +/-  (2.32e-125, 2.32e-125j)
| (-5.4231065343742100464 + 1.8793614758840590382e-454j)  +/-  (5.08e-123, 5.08e-123j)
| (-2.9306374202572440192 + 1.0452034045138900191e-451j)  +/-  (2.15e-122, 2.15e-122j)
| (-0.76729374730734900677 + 9.7584322004454396527e-455j)  +/-  (2.44e-125, 2.44e-125j)
| (-1.5569300048018579369 + 2.6074400328376611692e-452j)  +/-  (1.2e-123, 1.2e-123j)
| (2.4393988283860606007 + 2.3770442370903931909e-453j)  +/-  (1.29e-122, 1.29e-122j)
| (0.38118699020732211685 - 1.2911189293312125133e-459j)  +/-  (2.32e-126, 2.32e-126j)
| (1.9816567566958429259 + 1.0846726635101291757e-458j)  +/-  (4.33e-123, 4.33e-123j)
| (-1.1571937124467801947 + 3.365746244922706142e-461j)  +/-  (2.15e-124, 2.15e-124j)
| (-0.38118699020732211685 - 6.523078118169247025e-463j)  +/-  (2.32e-126, 2.32e-126j)
-------------------------------------------------
The weights are:
| (1.3824584252583381164e-10 + 1.8854248123146236258e-403j)  +/-  (8.24e-49, 7.24e-110j)
| (4.1456390913733939898e-26 + 4.124384828378894083e-413j)  +/-  (4.78e-56, 4.2e-117j)
| (8.3087217862647717381e-14 - 5.8895102344760661061e-407j)  +/-  (5.97e-51, 5.25e-112j)
| (1.9854598127157182759e-06 + 8.0669922896320185912e-402j)  +/-  (5.95e-47, 5.23e-108j)
| (4.1456390913733939898e-26 - 1.2847035664390248076e-412j)  +/-  (7.97e-57, 7.01e-118j)
| (1.3824584252583381164e-10 + 3.8570950914336527764e-405j)  +/-  (6.71e-50, 5.9e-111j)
| (5.3391934239122767809e-05 - 1.0452813787153703978e-401j)  +/-  (8.88e-47, 7.81e-108j)
| (0.0006971697973765421131 + 2.1052725964908329868e-400j)  +/-  (1.48e-45, 1.3e-106j)
| (0.004900826775298128801 - 7.6664280869272431075e-400j)  +/-  (2.91e-44, 2.55e-105j)
| (3.035776710451939078e-08 - 9.0933474872275022813e-404j)  +/-  (2.22e-49, 1.95e-110j)
| (0.058046487954878996757 - 2.7346399926254451699e-399j)  +/-  (2.13e-42, 1.87e-103j)
| (0.020479785438183308182 + 1.0725220568040018623e-399j)  +/-  (2.7e-44, 2.38e-105j)
| (3.035776710451939078e-08 - 1.2454663345173517292e-402j)  +/-  (4.61e-50, 4.05e-111j)
| (1.9854598127157182759e-06 + 1.1969120992362521291e-402j)  +/-  (7e-49, 6.15e-110j)
| (0.21430582220382900936 + 9.90095902255067727e-399j)  +/-  (7.76e-44, 6.82e-105j)
| (0.12154900023022403893 + 5.3054548497133563186e-399j)  +/-  (4.76e-44, 4.18e-105j)
| (8.3087217862647717381e-14 + 7.9232901580196476053e-406j)  +/-  (2.51e-53, 2.21e-114j)
| (5.3391934239122767809e-05 - 4.584296179125634743e-401j)  +/-  (2.87e-48, 2.52e-109j)
| (0.12154900023022403893 + 7.3961245027879195839e-399j)  +/-  (9.48e-46, 8.3e-107j)
| (0.020479785438183308182 + 2.1482085104399492364e-399j)  +/-  (1.88e-46, 1.65e-107j)
| (0.0006971697973765421131 + 6.5885409809362015475e-401j)  +/-  (2.74e-48, 2.4e-109j)
| (0.18711841081197660778 - 8.126452671958764239e-399j)  +/-  (3.65e-46, 3.15e-107j)
| (0.004900826775298128801 - 3.0927454351554936096e-400j)  +/-  (1.29e-47, 1.14e-108j)
| (0.058046487954878996757 - 4.5406541648955991915e-399j)  +/-  (3.82e-47, 3.49e-108j)
| (0.18711841081197660778 - 9.5738422920774850325e-399j)  +/-  (1.39e-46, 1.11e-107j)
