Starting with polynomial:
P : -t+1
Extension levels are: 1 5 11
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Trying to find an order 5 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Trying to find an order 11 Kronrod extension for:
P2 : -t^6 + 1831/56*t^5 - 20575/56*t^4 + 12175/7*t^3 - 23925/7*t^2 + 16365/7*t - 2265/7
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^17 + 58423429173440226695398189515982387159558813423/280436820240886920209072657566002247223649200*t^16 - 18204600497606748285144086175427506172350299780461/961497669397326583573963397369150561909654400*t^15 + 267071469789932366144939730116252237324645828518895/269219347431251443400709751263362157334703232*t^14 - 31447830824764829079757621393672367790191780329606915/942267716009380051902484129421767550671461312*t^13 + 716428187311277216447842662656875687401229932658644725/942267716009380051902484129421767550671461312*t^12 - 946905485741472269802536682128396506355392679681482619/78522309667448337658540344118480629222621776*t^11 + 10592125788652708101235837078974467195568382555458283859/78522309667448337658540344118480629222621776*t^10 - 41893312810342529559163435397117619969859542189667483595/39261154833724168829270172059240314611310888*t^9 + 232970485929566761654929745725711323131231958279098397865/39261154833724168829270172059240314611310888*t^8 - 112243424125393141296514154279340166499376023875062742905/4907644354215521103658771507405039326413861*t^7 + 41834829853309125203273386239052245771668245799543590851/701092050602217300522681643915005618059123*t^6 - 71297034475672206909486386589163650176690018729988263946/701092050602217300522681643915005618059123*t^5 + 75356892466979800665440998317881552560232580779599776150/701092050602217300522681643915005618059123*t^4 - 45884273060359952348503554184621975493143156907002165800/701092050602217300522681643915005618059123*t^3 + 14637982058298333920926562101079668537543723387294885800/701092050602217300522681643915005618059123*t^2 - 2242332266564858564316548910535998660639868061380513680/701092050602217300522681643915005618059123*t + 129989543144939569014010670989080565797048821621308080/701092050602217300522681643915005618059123
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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:
| (44.852338808926780478 + 5.045259641704902095e-329j)  +/-  (3.27e-121, 3.27e-121j)
| (18.67696450388197583 - 2.0329207217845575794e-337j)  +/-  (1.34e-119, 1.34e-119j)
| (28.790490566863661751 + 3.2896667580476769955e-346j)  +/-  (6.92e-120, 6.92e-120j)
| (23.263663189077728875 - 5.1663284336648620277e-355j)  +/-  (1.16e-119, 1.16e-119j)
| (35.649727101757652654 + 3.2053588930311368155e-360j)  +/-  (2.01e-120, 2.01e-120j)
| (2.5922508199253002476 + 1.4024736774259710966e-363j)  +/-  (3.28e-122, 3.28e-122j)
| (6.8256759198000340906 + 1.3372856522581135332e-372j)  +/-  (1.72e-120, 1.72e-120j)
| (14.829781217182764814 + 6.4969321130776617614e-384j)  +/-  (1.01e-119, 1.01e-119j)
| (0.18296039898248679851 + 1.1262942576858760708e-389j)  +/-  (5.61e-123, 5.61e-123j)
| (0.30339310804071668149 + 3.1889465404846628321e-396j)  +/-  (6.68e-125, 6.68e-125j)
| (1 + 6.6733286806149651709e-396j)  +/-  (5.26e-124, 5.26e-124j)
| (5.1384848875831238418 + 3.4353969277684245546e-404j)  +/-  (7.45e-121, 7.45e-121j)
| (11.608896588586232371 - 1.4672174923052411149e-419j)  +/-  (7.04e-120, 7.04e-120j)
| (8.9529512477548957267 + 1.750614921387503148e-435j)  +/-  (4.01e-120, 4.01e-120j)
| (1.7482733909156776831 + 4.7877708948775364815e-443j)  +/-  (6.25e-123, 6.25e-123j)
| (3.7315823083501598474 + 1.4969301724044541139e-445j)  +/-  (1.9e-121, 1.9e-121j)
| (0.18266012635218393984 + 8.7142455652929932036e-448j)  +/-  (4.71e-123, 4.71e-123j)
-------------------------------------------------
The weights are:
| (3.7173598516787072548e-19 - 1.049120952782775715e-347j)  +/-  (8.34e-55, 2.56e-113j)
| (3.2447138467629025857e-08 - 2.3878747627819521437e-342j)  +/-  (2.87e-49, 8.79e-108j)
| (1.913717552474452836e-12 - 8.8016498083840576857e-345j)  +/-  (3.13e-52, 9.59e-111j)
| (3.9518965931095216049e-10 + 1.7067214212532700842e-343j)  +/-  (5.05e-51, 1.55e-109j)
| (2.5546279978594330722e-15 + 3.1296712643111017712e-346j)  +/-  (7.86e-54, 2.41e-112j)
| (0.072890638272938807198 + 3.1260316928827556508e-337j)  +/-  (2.41e-42, 7.38e-101j)
| (0.0020433245462934182144 - 9.0534112927325425354e-339j)  +/-  (7.99e-47, 2.45e-105j)
| (1.2766523000413359655e-06 + 2.5875073438361086659e-341j)  +/-  (7.45e-50, 2.28e-108j)
| (-261.48756155846031729 + 1.4987942437134675157e-333j)  +/-  (2.47e-41, 7.59e-100j)
| (1.0343244075639633531 - 5.705699472779118739e-336j)  +/-  (1.82e-41, 5.59e-100j)
| (0.26429720344540279985 + 7.9718057619969425269e-337j)  +/-  (2.61e-42, 8.01e-101j)
| (0.0089471869656934673146 + 3.6781232543981474865e-338j)  +/-  (1.78e-46, 5.46e-105j)
| (2.6632723528140716762e-05 - 2.2657059136497657801e-340j)  +/-  (2.03e-49, 6.21e-108j)
| (0.0003085293826509375055 + 1.624507852562248788e-339j)  +/-  (1.47e-48, 4.52e-107j)
| (0.13336005873461903482 - 5.6214312432448063635e-337j)  +/-  (8.18e-46, 2.53e-104j)
| (0.030879459161148870598 - 1.1835471629362522212e-337j)  +/-  (9.3e-47, 2.84e-105j)
| (260.94048280816753402 - 1.4935469795534423509e-333j)  +/-  (3.78e-42, 1.19e-100j)
