Starting with polynomial:
P : -t+1
Extension levels are: 1 4 10
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Trying to find an order 4 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : -t^5 + 319/15*t^4 - 2104/15*t^3 + 1656/5*t^2 - 1208/5*t + 152/5
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^15 + 5830422343941554964122137818045331/35557989102486713135257466622735*t^14 - 1225428716499805027451255271654724438/106673967307460139405772399868205*t^13 + 48307484340458023763182130568777743146/106673967307460139405772399868205*t^12 - 18861518568005864845267159689247846456/1693237576308891101678926982035*t^11 + 6376832840492207075190955821241852497944/35557989102486713135257466622735*t^10 - 1960333344231738358743298674303636509968/1015942545785334661007356189221*t^9 + 674069544431990743579521666273433561968/48378216465968317190826485201*t^8 - 158652129719758013932115763933228216952704/2370532606832447542350497774849*t^7 + 70876434058783298356706980017076009328256/338647515261778220335785396407*t^6 - 139137180268099709687380467457183335961344/338647515261778220335785396407*t^5 + 23137567759360338740269773815372774388480/48378216465968317190826485201*t^4 - 102367083012143008160211307502154834447360/338647515261778220335785396407*t^3 + 4388933284517437387267468526109883560960/48378216465968317190826485201*t^2 - 519840090374987813749658822497710458880/48378216465968317190826485201*t + 123641184301787931019802193256384112640/338647515261778220335785396407
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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: 1
  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:
| (39.377305890995964742 - 6.8321263751131239559e-269j)  +/-  (7.69e-122, 7.69e-122j)
| (30.61283565531576142 - 8.3996705217841004479e-270j)  +/-  (4.34e-121, 4.34e-121j)
| (11.242378555161742866 - 1.8311087873152328913e-275j)  +/-  (8.4e-121, 8.4e-121j)
| (18.978654960160147295 + 3.7015267277181344499e-290j)  +/-  (1.58e-120, 1.58e-120j)
| (8.3553933443797935482 + 9.2985488879225554049e-306j)  +/-  (3.69e-121, 3.69e-121j)
| (1.8321239195051932965 - 5.5932341735402507972e-317j)  +/-  (1.98e-123, 1.98e-123j)
| (24.140487188496965748 + 1.8698122487717119659e-336j)  +/-  (1.02e-120, 1.02e-120j)
| (6.0165843328122930598 + 6.77669449823141723e-359j)  +/-  (1.52e-121, 1.52e-121j)
| (14.745107664659672791 - 7.1691097178938491156e-370j)  +/-  (1.43e-120, 1.43e-120j)
| (0.41202648331918580392 + 4.0591907796688204839e-377j)  +/-  (2.41e-125, 2.41e-125j)
| (1 - 1.8806579091699348375e-378j)  +/-  (2.36e-124, 2.36e-124j)
| (4.1930396298969932875 - 2.7905874036044797364e-376j)  +/-  (4.57e-122, 4.57e-122j)
| (0.15769548012154955374 - 4.0431931350948716791e-379j)  +/-  (3.26e-126, 3.26e-126j)
| (0.055764378715504043394 + 3.4420862213500582184e-382j)  +/-  (4.27e-127, 4.27e-127j)
| (2.8500082985710811872 - 8.8559609619852609569e-386j)  +/-  (1.39e-122, 1.39e-122j)
-------------------------------------------------
The weights are:
| (8.4846795222996180165e-17 + 6.4108052493672349145e-285j)  +/-  (5.11e-58, 2.81e-117j)
| (3.7288398807063246723e-13 + 1.7037900303506537301e-282j)  +/-  (1.38e-56, 7.58e-116j)
| (4.168317502072583845e-05 + 1.2831337215291247439e-278j)  +/-  (5.16e-52, 2.84e-111j)
| (2.6642317208968566601e-08 + 1.7177555371516218552e-280j)  +/-  (1.03e-54, 5.66e-114j)
| (0.00061245465482470475934 - 8.0770453742822069166e-278j)  +/-  (1.75e-51, 9.65e-111j)
| (0.14775879875543597645 - 1.5591548290964982202e-275j)  +/-  (1.06e-46, 5.86e-106j)
| (1.878972318653077852e-10 - 1.6220556100875033778e-281j)  +/-  (4.46e-56, 2.45e-115j)
| (0.0050662546148095912439 + 4.3839606739653451012e-277j)  +/-  (3.51e-51, 1.94e-110j)
| (1.5172201364869509325e-06 - 1.5840043729599949664e-279j)  +/-  (7.12e-54, 3.92e-113j)
| (0.29064315525741804974 - 6.865936011396386143e-275j)  +/-  (3.58e-48, 2.1e-107j)
| (0.26683593368786618477 + 3.1026786497166810275e-275j)  +/-  (1.52e-48, 8.56e-108j)
| (0.023737349246801069825 - 2.0001655969528055664e-276j)  +/-  (9.92e-51, 5.53e-110j)
| (0.075830403751889911433 + 1.0223379542282263566e-274j)  +/-  (1.17e-48, 7.18e-108j)
| (0.12342484518520162808 - 5.4052796806897002295e-275j)  +/-  (6.52e-49, 4.02e-108j)
| (0.066047577620008261233 + 6.6742586770947119776e-276j)  +/-  (2.77e-50, 1.46e-109j)
