Starting with polynomial:
P : 46189/256*t^10 - 109395/256*t^8 + 45045/128*t^6 - 15015/128*t^4 + 3465/256*t^2 - 63/256
Extension levels are: 10 22
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P1 : 46189/256*t^10 - 109395/256*t^8 + 45045/128*t^6 - 15015/128*t^4 + 3465/256*t^2 - 63/256
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 46189/256*t^32 - 3120472178377025215465125206927553/2133012047099278755689871087616*t^30 + 34412844181058368755804678442404995/6399036141297836267069613262848*t^28 - 8672732721989267493918603967920543915/731623132155052613201625783052288*t^26 + 10207638064046921443198437973663456498125/584566882591887037948099000658778112*t^24 - 10600960619059486898143342610976513752325/584566882591887037948099000658778112*t^22 + 23264473077969551522908737410389302675/1704276625632323725796206999005184*t^20 - 629643996607474718837893832171580822375/83509554655983862564014142951254016*t^18 + 195359254476813554340929914128263925075/63860247678105306666599050492135424*t^16 - 2135489098187760439394993422397159290125/2362829164089896346664164868209010688*t^14 + 211660985049725866947746026970616262065/1109872291479214814226866312890320896*t^12 - 62416389752995481435118511772898689804305/2243051901079493139552496818351338530816*t^10 + 5983890020155421137219234203798692920425/2243051901079493139552496818351338530816*t^8 - 27366109611983127248719567727664675/176743511234693336975218408190949376*t^6 + 1514301476746971434003089333152615375/320435985868499019936070974050191218688*t^4 - 18300318278210747643193190950410531/320435985868499019936070974050191218688*t^2 + 36785056970127390811459471518867/320435985868499019936070974050191218688
-------------------------------------------------
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:
| (-0.99897694834497812161 - 1.5372053759061931462e-429j)  +/-  (7.25e-117, 7.25e-117j)
| (-0.99124628433606588136 - 8.8328936397736594184e-432j)  +/-  (1.67e-116, 1.67e-116j)
| (-0.91050643660687031693 + 6.7667332669009131951e-433j)  +/-  (4.32e-117, 4.32e-117j)
| (0.99897694834497812161 + 1.7989504803470397161e-429j)  +/-  (7.59e-117, 7.59e-117j)
| (0.91050643660687031693 + 1.1964844639397006405e-437j)  +/-  (4.86e-117, 4.86e-117j)
| (0.94690803432386905048 + 4.5275062684498341658e-443j)  +/-  (9.19e-117, 9.19e-117j)
| (0.24647926515375348297 - 2.6890249064851233545e-463j)  +/-  (8.16e-125, 8.16e-125j)
| (-0.94690803432386905048 - 9.496154269083308183e-458j)  +/-  (9.77e-117, 9.77e-117j)
| (-0.97390652851717172008 - 1.1966270058813394795e-461j)  +/-  (1.56e-116, 1.56e-116j)
| (0.97390652851717172008 - 3.1607720283514551706e-460j)  +/-  (1.45e-116, 1.45e-116j)
| (0.86506336668898451073 - 1.9743782700885144324e-471j)  +/-  (1.61e-117, 1.61e-117j)
| (0.99124628433606588136 - 8.9206195853581272005e-479j)  +/-  (1.54e-116, 1.54e-116j)
| (-0.86506336668898451073 + 2.8553665285006983523e-490j)  +/-  (1.67e-117, 1.67e-117j)
| (-0.81102976272617322245 - 6.2376080752530822915e-492j)  +/-  (5e-118, 5e-118j)
| (0.14887433898163121088 - 5.7865887709281462177e-502j)  +/-  (4.71e-126, 4.71e-126j)
| (0.81102976272617322245 - 1.8433521564377900779e-492j)  +/-  (4.82e-118, 4.82e-118j)
| (0.74894036007656814279 - 2.0338884843501891069e-494j)  +/-  (1.02e-118, 1.02e-118j)
| (-0.34163474874369267131 + 2.1378187520649685294e-499j)  +/-  (1.37e-123, 1.37e-123j)
| (-0.74894036007656814279 + 2.9394086138571843059e-495j)  +/-  (1.06e-118, 1.06e-118j)
| (-0.4333953941292471908 + 1.4260261612759076658e-500j)  +/-  (2.08e-122, 2.08e-122j)
| (0.4333953941292471908 - 1.4531125788404832625e-499j)  +/-  (2.16e-122, 2.16e-122j)
| (0.67940956829902440623 - 3.7068839333897771957e-497j)  +/-  (1.77e-119, 1.77e-119j)
| (0.049789749661096719945 + 1.2398873475722844653e-505j)  +/-  (2.1e-127, 2.1e-127j)
| (-0.52084921768775535553 - 3.2984148891866540149e-499j)  +/-  (2.66e-121, 2.66e-121j)
| (-0.67940956829902440623 - 6.3184951086273878494e-498j)  +/-  (1.66e-119, 1.66e-119j)
| (-0.049789749661096719945 - 3.8908698354395365789e-506j)  +/-  (2.1e-127, 2.1e-127j)
| (0.60312663471123618802 + 1.7333195679057990011e-500j)  +/-  (2.47e-120, 2.47e-120j)
| (0.52084921768775535553 + 2.3065533497526723969e-503j)  +/-  (2.27e-121, 2.27e-121j)
| (-0.14887433898163121088 + 3.6606373097596474879e-507j)  +/-  (4.96e-126, 4.96e-126j)
| (-0.60312663471123618802 - 2.1303375527101265704e-503j)  +/-  (2.29e-120, 2.29e-120j)
| (-0.24647926515375348297 - 3.7008077790139056142e-507j)  +/-  (8.31e-125, 8.31e-125j)
| (0.34163474874369267131 + 1.7517567699516084585e-504j)  +/-  (1.38e-123, 1.38e-123j)
-------------------------------------------------
The weights are:
| (0.0033336094521022948156 - 1.239078180451333348e-429j)  +/-  (9.92e-23, 1.08e-77j)
| (0.01246568403906787097 + 1.6992467844351735214e-429j)  +/-  (7.95e-23, 8.66e-78j)
| (0.040990287008881860653 - 2.6689949705811452236e-430j)  +/-  (6.96e-24, 7.58e-79j)
| (0.0033336094521022948156 - 1.4444869383589464059e-429j)  +/-  (1.1e-24, 1.2e-79j)
| (0.040990287008881860653 - 3.2040112830334675202e-430j)  +/-  (7.91e-25, 8.62e-80j)
| (0.031752455533788563001 + 4.8495294683645274142e-430j)  +/-  (6.25e-25, 6.8e-80j)
| (0.096540107933524086846 + 2.9642301089286933162e-431j)  +/-  (6.59e-26, 7.18e-81j)
| (0.031752455533788563001 + 4.0723177259512529718e-430j)  +/-  (3.23e-24, 3.52e-79j)
| (0.022200864408727028458 - 7.0920363871205624316e-430j)  +/-  (6.69e-24, 7.29e-79j)
| (0.022200864408727028458 - 8.433826119457143672e-430j)  +/-  (1.01e-25, 1.1e-80j)
| (0.049820615806322038958 + 2.287957807230832462e-430j)  +/-  (5.72e-27, 6.23e-82j)
| (0.01246568403906787097 + 1.9916470822439368881e-429j)  +/-  (1.01e-25, 1.1e-80j)
| (0.049820615806322038958 + 1.88144545677418234e-430j)  +/-  (1.94e-27, 2.11e-82j)
| (0.058157405121985162849 - 1.3930757671198002573e-430j)  +/-  (3.5e-28, 3.81e-83j)
| (0.09850795801632380564 - 2.0245181186837468391e-431j)  +/-  (6.69e-30, 7.28e-85j)
| (0.058157405121985162849 - 1.7137249133161930097e-430j)  +/-  (1.45e-28, 1.58e-83j)
| (0.065918920092751766943 + 1.3231069416326284394e-430j)  +/-  (2.41e-29, 2.63e-84j)
| (0.093613143839757057919 - 2.4331652672789469301e-431j)  +/-  (7.63e-32, 8.31e-87j)
| (0.065918920092751766943 + 1.0577298185620805164e-430j)  +/-  (1.27e-30, 1.38e-85j)
| (0.08975600041424241119 + 3.5109595602250467813e-431j)  +/-  (6.56e-32, 7.15e-87j)
| (0.08975600041424241119 + 5.1798112592990227885e-431j)  +/-  (2.4e-32, 2.61e-87j)
| (0.07302768162866541969 - 1.0407087858841794346e-430j)  +/-  (1.81e-31, 1.97e-86j)
| (0.099496929246899190727 + 1.1428432282123681971e-431j)  +/-  (6.17e-33, 6.72e-88j)
| (0.085006563308051230092 - 4.7588952993440758428e-431j)  +/-  (7.23e-33, 7.88e-88j)
| (0.07302768162866541969 - 8.1322778873988827743e-431j)  +/-  (1.33e-32, 1.45e-87j)
| (0.099496929246899190727 - 2.8696824086547434269e-432j)  +/-  (1.58e-33, 1.72e-88j)
| (0.079411774148910211249 + 8.2640620417998339309e-431j)  +/-  (2.03e-33, 2.21e-88j)
| (0.085006563308051230092 - 6.5696475771664294808e-431j)  +/-  (1.16e-33, 1.26e-88j)
| (0.09850795801632380564 - 5.7311833920357785305e-432j)  +/-  (1.31e-34, 1.44e-89j)
| (0.079411774148910211249 + 6.2584005829709887218e-431j)  +/-  (1.2e-34, 1.31e-89j)
| (0.096540107933524086846 + 1.4682205846196091718e-431j)  +/-  (8.13e-35, 9.04e-90j)
| (0.093613143839757057919 - 3.9999013430276203629e-431j)  +/-  (5.72e-35, 5.3e-90j)
