Starting with polynomial:
P : -1/362880*t^9 + 1/4480*t^8 - 1/140*t^7 + 7/60*t^6 - 21/20*t^5 + 21/4*t^4 - 14*t^3 + 18*t^2 - 9*t + 1
Extension levels are: 9 17
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Trying to find an order 17 Kronrod extension for:
P1 : -1/362880*t^9 + 1/4480*t^8 - 1/140*t^7 + 7/60*t^6 - 21/20*t^5 + 21/4*t^4 - 14*t^3 + 18*t^2 - 9*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -1/362880*t^26 + 2058476616986989891778961873293153744222888713/1462004536198944252202192918325526032270835164160*t^25 - 483947713881177464788424184654308214376292163137/1462004536198944252202192918325526032270835164160*t^24 + 7972963184476297939171374245344438293407921858101/167521353106129028898167938558133191197699862560*t^23 - 785984893696456855796019682789770262060884601889383/167521353106129028898167938558133191197699862560*t^22 + 56452880743875201502457346761502402770881447985969471/167521353106129028898167938558133191197699862560*t^21 - 16214139188965361083750285391052131754405323665137167/886356365640894332794539357450440165067195040*t^20 + 51081012672976108952094152900928744524067827122203947/66476727423067074959590451808783012380039628*t^19 - 1686305988414687364136891031146689139735618105824292921/66476727423067074959590451808783012380039628*t^18 + 8035063184507441678575651333372714697883022867092492511/12086677713284922719925536692506002250916296*t^17 - 1849941692110474834322626043430780925031105712530543016437/132953454846134149919180903617566024760079256*t^16 + 3876525786696846093653913999361666620368406211020421134032/16619181855766768739897612952195753095009907*t^15 - 17352117731101045167219980311746390121808231487695399161040/5539727285255589579965870984065251031669969*t^14 + 186215935153866207337723255161947514562128629195820765294320/5539727285255589579965870984065251031669969*t^13 - 1589389667395133100190810962169873982513834888592560787171760/5539727285255589579965870984065251031669969*t^12 + 10710187381316274678631161372124733992542224777528813056456320/5539727285255589579965870984065251031669969*t^11 - 5127308240261221973095373662089519594820086595550101164965760/503611571386871779996897362187750093788179*t^10 + 20816052540264095324162468767725301836056427584611425382490400/503611571386871779996897362187750093788179*t^9 - 64006622865535557159950846636043545295178739952682786924999200/503611571386871779996897362187750093788179*t^8 + 145646067282218019402542859707764814570473805216560442917401600/503611571386871779996897362187750093788179*t^7 - 237851105300861822054925245168400812707357221988865145018547200/503611571386871779996897362187750093788179*t^6 + 267436544962959707373721287889778909641023444234982737397017600/503611571386871779996897362187750093788179*t^5 - 195301527792919038769235550788823373829730136019885038599552000/503611571386871779996897362187750093788179*t^4 + 84906197811976466325369239973620436077457520371918608434176000/503611571386871779996897362187750093788179*t^3 - 19038128833326684979434191409993203386503863612446648470528000/503611571386871779996897362187750093788179*t^2 + 1661573115896110626932035557793259229715773950643628141056000/503611571386871779996897362187750093788179*t - 25526009055698495558231387204487995663537653589454801408000/503611571386871779996897362187750093788179
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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: 0
  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:
| (72.917527374080893663 - 1.2235297917857341688e-327j)  +/-  (2.25e-118, 2.25e-118j)
| (46.419853702334873485 - 3.0489742576082653012e-324j)  +/-  (7.16e-116, 7.16e-116j)
| (61.897894761923045837 + 2.0478992147257120601e-332j)  +/-  (3.18e-117, 3.18e-117j)
| (53.445398822884827608 + 1.7822215791701877281e-345j)  +/-  (2.23e-116, 2.23e-116j)
| (26.374071890927376796 - 1.9470989922431468394e-358j)  +/-  (1.29e-114, 1.29e-114j)
| (7.7054848217177262778 - 3.743269104736538356e-372j)  +/-  (2.57e-117, 2.57e-117j)
| (23.299174682456109139 - 5.3091597028204658544e-374j)  +/-  (2.17e-114, 2.17e-114j)
| (40.378578228026959924 - 4.169312555193603304e-381j)  +/-  (2.03e-115, 2.03e-115j)
| (30.437743431944160361 + 3.0572362790355758845e-385j)  +/-  (7.5e-115, 7.5e-115j)
| (6.204956777876612607 - 8.3602749383817960232e-395j)  +/-  (5.53e-118, 5.53e-118j)
| (0.80722002274225584774 + 1.2957904703388902262e-400j)  +/-  (1.81e-123, 1.81e-123j)
| (4.890378582768592664 + 2.297259867427892197e-395j)  +/-  (1.01e-118, 1.01e-118j)
| (2.8366435496344577946 - 3.8362643293492946104e-398j)  +/-  (2.61e-120, 2.61e-120j)
| (0.42619736713354096927 - 1.146486649520154519e-401j)  +/-  (1.32e-124, 1.32e-124j)
| (35.093728298394978984 + 5.7913740817845228188e-391j)  +/-  (4.19e-115, 4.19e-115j)
| (2.005135155619347123 + 2.3796987160132364536e-407j)  +/-  (2.4e-121, 2.4e-121j)
| (0.15232222773180824743 - 3.4130759178948124281e-412j)  +/-  (4.86e-126, 4.86e-126j)
| (16.001178090066025613 - 5.028502891045460601e-401j)  +/-  (1.99e-115, 1.99e-115j)
| (21.574275987892040062 - 3.1055095872463276673e-415j)  +/-  (1.71e-114, 1.71e-114j)
| (3.7834739733312329917 + 5.4807036973705858982e-433j)  +/-  (1.83e-119, 1.83e-119j)
| (18.833597788991696614 + 8.0717153928238527247e-428j)  +/-  (5.72e-115, 5.72e-115j)
| (1.3195962249420395117 + 2.0604556480428966394e-439j)  +/-  (2.04e-122, 2.04e-122j)
| (11.265724050533479894 + 1.0099001727738434617e-431j)  +/-  (2.49e-116, 2.49e-116j)
| (9.3729852516875762018 - 6.3552670845476757134e-436j)  +/-  (8.74e-117, 8.74e-117j)
| (13.466236911092093571 - 1.5409570516505810733e-435j)  +/-  (7.16e-116, 7.16e-116j)
| (0.01926572932967110801 + 2.7468433401214468817e-455j)  +/-  (8.99e-128, 8.99e-128j)
-------------------------------------------------
The weights are:
| (2.8458643232001869278e-31 + 1.4335174585997738752e-351j)  +/-  (3.87e-42, 2.65e-98j)
| (4.4868222387632387673e-20 + 8.3817665711382151912e-344j)  +/-  (9.88e-38, 6.78e-94j)
| (1.2375462128008613969e-26 - 1.1058288885260492971e-348j)  +/-  (8.65e-41, 5.94e-97j)
| (4.6968809250038462492e-23 + 3.071461568335625935e-346j)  +/-  (2.77e-39, 1.9e-95j)
| (1.3102508140836479714e-11 + 4.7113578861564983761e-339j)  +/-  (2.56e-34, 1.76e-90j)
| (0.00071231268924719887172 + 3.6034143263629326024e-334j)  +/-  (3.76e-25, 2.58e-81j)
| (1.5935467567087945126e-10 - 6.0286173511456829626e-338j)  +/-  (1.4e-33, 9.65e-90j)
| (1.63952418283516231e-17 - 9.1902085301552807427e-343j)  +/-  (4.03e-38, 2.77e-94j)
| (2.6365292942258097e-13 - 2.5712445814575049073e-340j)  +/-  (4.27e-36, 2.93e-92j)
| (0.00285644477472915123 - 9.698546084621063397e-334j)  +/-  (1.53e-26, 1.05e-82j)
| (0.19435017076821508763 - 2.4303502447293357687e-332j)  +/-  (4.54e-21, 3.12e-77j)
| (0.0090927604700897477741 + 2.3852519466069343923e-333j)  +/-  (2.03e-25, 1.39e-81j)
| (0.052116378682602851922 + 8.7956719124945901205e-333j)  +/-  (4.43e-23, 3.04e-79j)
| (0.21639052329179424563 + 2.2515416879255212996e-332j)  +/-  (3.16e-21, 2.17e-77j)
| (2.844902991675237721e-15 + 1.4676609073493880126e-341j)  +/-  (1.75e-37, 1.2e-93j)
| (0.10325378507437206531 - 1.3664025043384339877e-332j)  +/-  (1.31e-22, 8.97e-79j)
| (0.1789038450852587927 - 1.5516487998588611325e-332j)  +/-  (1.21e-21, 8.32e-78j)
| (3.0316363699282739257e-07 + 1.8734601835337109187e-336j)  +/-  (7.88e-34, 5.41e-90j)
| (9.2755207586926947417e-10 + 1.7179523202005564544e-337j)  +/-  (7.53e-35, 5.17e-91j)
| (0.023061397680167377599 - 5.0282960324900889859e-333j)  +/-  (9.56e-28, 6.56e-84j)
| (1.9404681098856603147e-08 - 4.7699307016191383285e-337j)  +/-  (1.13e-34, 7.74e-91j)
| (0.15985521541133030971 + 1.9820477782401122317e-332j)  +/-  (6.78e-27, 4.65e-83j)
| (2.6078874436801579342e-05 + 3.3854051718129764061e-335j)  +/-  (1.52e-33, 1.04e-89j)
| (0.00014994514816685268221 - 1.1997919172042255838e-334j)  +/-  (6.75e-33, 4.63e-89j)
| (3.3582384042511822011e-06 - 8.190708556237142349e-336j)  +/-  (2.91e-34, 2e-90j)
| (0.059227460142591400554 + 5.6978095811358607305e-333j)  +/-  (4.56e-30, 2.99e-86j)
