Starting with polynomial:
P : -t+1
Extension levels are: 1 18
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Trying to find an order 18 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^19 + 81698776804752859/202510138910239*t^18 - 14627205740991329118/202510138910239*t^17 + 90775521291138605442/11912361112367*t^16 - 6314466776532886136448/11912361112367*t^15 + 306868508569480568607360/11912361112367*t^14 - 10766476398369387861768960/11912361112367*t^13 + 277850039477086767359934720/11912361112367*t^12 - 5323798392055169642743196160/11912361112367*t^11 + 75911313877361786025990627840/11912361112367*t^10 - 802471160393151801884338406400/11912361112367*t^9 + 6228378522093413202200946662400/11912361112367*t^8 - 34920806542647173088867595468800/11912361112367*t^7 + 138042778518385459938500791910400/11912361112367*t^6 - 371471087648237237217990674841600/11912361112367*t^5 + 646625050891519771942584569856000/11912361112367*t^4 - 674131622369310815188518014976000/11912361112367*t^3 + 371455514389642160347650772992000/11912361112367*t^2 - 85781737097046223727104106496000/11912361112367*t + 4685147596301448575395160064000/11912361112367
-------------------------------------------------
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:
| (86.537993606956101524 + 2.9445941942903913098e-319j)  +/-  (4.88e-121, 4.88e-121j)
| (23.969862616736837618 - 1.8365505369192415705e-329j)  +/-  (6.9e-118, 6.9e-118j)
| (47.635149295251995655 - 3.5439687363123323559e-345j)  +/-  (1.19e-118, 1.19e-118j)
| (28.583164733805671597 + 5.5365411470549467682e-355j)  +/-  (7.65e-118, 7.65e-118j)
| (40.119041591706852668 - 8.3552681575029515716e-361j)  +/-  (3.02e-118, 3.02e-118j)
| (33.897762373899014677 + 5.2186403746010392853e-365j)  +/-  (5.94e-118, 5.94e-118j)
| (57.424895922815126927 + 1.0567864202257765086e-372j)  +/-  (1.75e-119, 1.75e-119j)
| (6.1514811029473034616 - 5.0201729177199712378e-372j)  +/-  (1.97e-120, 1.97e-120j)
| (19.932336514980057639 - 1.009838686980525894e-369j)  +/-  (4.7e-118, 4.7e-118j)
| (8.1857524094605389678 + 5.2170566103261253027e-374j)  +/-  (9.39e-120, 9.39e-120j)
| (1 + 8.1526264829124546321e-383j)  +/-  (2.55e-124, 2.55e-124j)
| (3.0040562269413916262 + 5.6939062333995999058e-379j)  +/-  (3.91e-122, 3.91e-122j)
| (0.076906361361589336256 - 1.9643207462574505207e-385j)  +/-  (4.35e-127, 4.35e-127j)
| (10.551694488337195066 + 3.5078520302732658571e-376j)  +/-  (3.75e-119, 3.75e-119j)
| (4.4293228013163512004 + 7.8573022272387922588e-385j)  +/-  (3.59e-121, 3.59e-121j)
| (1.863918921779584059 - 3.9457457817102230627e-390j)  +/-  (3.86e-123, 3.86e-123j)
| (0.40581222471415603254 - 6.0498625348863054475e-397j)  +/-  (1.21e-125, 1.21e-125j)
| (13.274492173241957608 + 3.5488441377591502938e-395j)  +/-  (1.05e-118, 1.05e-118j)
| (16.386907046659642866 - 1.4181913102113608501e-424j)  +/-  (2.82e-118, 2.82e-118j)
-------------------------------------------------
The weights are:
| (1.304117598518055984e-34 - 4.3998284378888796898e-352j)  +/-  (4.19e-53, 7.88e-111j)
| (1.6763848365702433352e-10 + 1.4513965292399914014e-339j)  +/-  (1.39e-43, 2.6e-101j)
| (1.7224681751742278702e-20 - 2.333573402651714558e-345j)  +/-  (6.71e-49, 1.26e-106j)
| (1.9057152026258638357e-12 + 8.0625554463430080376e-341j)  +/-  (2.28e-45, 4.28e-103j)
| (2.5566820830202527506e-17 + 1.1117101961467648902e-343j)  +/-  (5.26e-48, 9.9e-106j)
| (1.0866138333824755368e-14 - 3.2266331949138171854e-342j)  +/-  (6.34e-47, 1.19e-104j)
| (1.3477083474367026525e-24 + 1.8367902192407920037e-347j)  +/-  (2.52e-51, 4.73e-109j)
| (0.0039951064834537619498 + 3.7842150795537360891e-337j)  +/-  (2.67e-41, 5.02e-99j)
| (8.3365168025087414667e-09 - 4.7575497343466850287e-339j)  +/-  (2.09e-45, 3.92e-103j)
| (0.00061191379109129247649 - 1.9528072556029799025e-337j)  +/-  (6.38e-43, 1.2e-100j)
| (0.26787391649529912746 + 9.4028460695724888547e-337j)  +/-  (1.28e-39, 2.41e-97j)
| (0.063518858573484117228 + 8.7955520996709116223e-337j)  +/-  (1.24e-40, 2.34e-98j)
| (0.18281969362442784518 + 2.0601690987948259539e-337j)  +/-  (1.01e-39, 1.9e-97j)
| (6.6408870006317968443e-05 + 8.7208456415208036837e-338j)  +/-  (3.82e-44, 7.18e-102j)
| (0.01873615864801190474 - 6.2759788030460722988e-337j)  +/-  (4.84e-42, 9.1e-100j)
| (0.15518112963670938547 - 1.0202929383202319423e-336j)  +/-  (4.31e-41, 8.1e-99j)
| (0.30719155053318614992 - 6.2316683249136883019e-337j)  +/-  (9.89e-41, 1.86e-98j)
| (5.0010492814251958158e-06 - 3.4278135879751643747e-338j)  +/-  (2.43e-45, 4.58e-103j)
| (2.5378897677932608206e-07 + 1.23584668098778507e-338j)  +/-  (5.07e-46, 9.52e-104j)
