Starting with polynomial:
P : 12155/128*t^9 - 6435/32*t^7 + 9009/64*t^5 - 1155/32*t^3 + 315/128*t
Extension levels are: 9 20
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Trying to find an order 20 Kronrod extension for:
P1 : 12155/128*t^9 - 6435/32*t^7 + 9009/64*t^5 - 1155/32*t^3 + 315/128*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 12155/128*t^29 - 244014633090302421629301305/349294903921772996851776*t^27 + 176616008777195625461371496091/76612015593508877309489536*t^25 - 86278199025636288266268452175/19153003898377219327372384*t^23 + 25728928849886766674677062841275/4440165947223797106676067456*t^21 - 67098897556396998892250498283825/13003343131155405812408483264*t^19 + 1101031846775937479467226446949475/338086921410040551122620564864*t^17 - 61965978325211245397727876591345/42260865176255068890327570608*t^15 + 282885029828680964891580992925/604806657263042130809696896*t^13 - 3836923921427266974234709223034225/37046524580661751159551768819136*t^11 + 3203240424348937495963958627717425/208807684000093506535655424253312*t^9 - 74612036349961976487742739115975/52201921000023376633913856063328*t^7 + 2252802781353401756241941704005/29829669142870500933665060607616*t^5 - 27848770737273997643673214725/14914834571435250466832530303808*t^3 + 9431154181143938999411544825/686082390286021521474296393975168*t
-------------------------------------------------
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:
| (-0.99874939939845948826 - 2.3324956592953934662e-438j)  +/-  (5.32e-118, 5.32e-118j)
| (-0.96816023950762608984 - 1.1238045724312004047e-449j)  +/-  (1.01e-117, 1.01e-117j)
| (-0.93528267313613789016 + 8.9887938029370753348e-457j)  +/-  (5.83e-118, 5.83e-118j)
| (1.1459404296266456941e-472 - 4.9874083500216717444e-473j)  +/-  (3.62e-471, 3.62e-471j)
| (0.93528267313613789016 + 5.1028208364160713541e-458j)  +/-  (5.82e-118, 5.82e-118j)
| (0.8360311073266357943 + 1.6657078976348147353e-460j)  +/-  (9.01e-119, 9.01e-119j)
| (0.96816023950762608984 + 7.8868355359638274028e-460j)  +/-  (1.03e-117, 1.03e-117j)
| (-0.89106070327153853911 - 4.8687744999350437431e-464j)  +/-  (2.53e-118, 2.53e-118j)
| (-0.9893104741025880951 + 4.5203498465618244543e-475j)  +/-  (1.18e-117, 1.18e-117j)
| (0.9893104741025880951 - 5.7186291434118510663e-483j)  +/-  (1.09e-117, 1.09e-117j)
| (0.89106070327153853911 - 1.1623836322357077868e-487j)  +/-  (2.76e-118, 2.76e-118j)
| (0.99874939939845948826 + 2.24008213092295019e-489j)  +/-  (5.32e-118, 5.32e-118j)
| (-0.69634140091401723631 - 2.8286541237552400801e-492j)  +/-  (4.06e-120, 4.06e-120j)
| (-0.8360311073266357943 + 3.9042442564104713843e-492j)  +/-  (7.81e-119, 7.81e-119j)
| (-0.21837950090393174651 - 1.6065685715694388486e-502j)  +/-  (1.79e-125, 1.79e-125j)
| (0.77086171618925914188 + 1.2846397696429497897e-497j)  +/-  (1.98e-119, 1.98e-119j)
| (0.52295614125519930936 + 1.3305599117100679513e-501j)  +/-  (5.37e-122, 5.37e-122j)
| (0.10985598975654047154 + 2.0559590125126261533e-507j)  +/-  (8.99e-127, 8.99e-127j)
| (-0.77086171618925914188 + 1.8976367519325180483e-500j)  +/-  (2.04e-119, 2.04e-119j)
| (-0.42619181381656958998 + 4.7613416111057766273e-505j)  +/-  (4.7e-123, 4.7e-123j)
| (0.42619181381656958998 - 2.4955952698835200428e-506j)  +/-  (5.47e-123, 5.47e-123j)
| (0.69634140091401723631 - 2.6915594319567703215e-505j)  +/-  (3.68e-120, 3.68e-120j)
| (-0.10985598975654047154 + 4.8031659208512572703e-513j)  +/-  (8.99e-127, 8.99e-127j)
| (-0.52295614125519930936 + 7.5657612306174306808e-507j)  +/-  (5.73e-122, 5.73e-122j)
| (-0.61337143270059039731 + 2.3174923155098162361e-508j)  +/-  (5.62e-121, 5.62e-121j)
| (0.21837950090393174651 - 1.3108704415610452225e-515j)  +/-  (1.68e-125, 1.68e-125j)
| (0.61337143270059039731 - 1.3810696920448039713e-510j)  +/-  (5.22e-121, 5.22e-121j)
| (0.32425342340380892904 + 2.3853478889454110183e-514j)  +/-  (3.78e-124, 3.78e-124j)
| (-0.32425342340380892904 - 8.3235781781798936415e-513j)  +/-  (3.39e-124, 3.39e-124j)
-------------------------------------------------
The weights are:
| (0.0040729213825398200643 - 1.8769185481461776934e-438j)  +/-  (3.21e-27, 2.85e-83j)
| (0.027062331453044251315 - 1.1058788386808607159e-438j)  +/-  (1.8e-27, 1.6e-83j)
| (0.03862765854662729088 + 6.435706907803515816e-439j)  +/-  (1.01e-27, 8.96e-84j)
| (0.11007857798305850765 - 6.9940809192072027897e-440j)  +/-  (8.08e-29, 7.18e-85j)
| (0.03862765854662729088 + 2.1119259314218722625e-440j)  +/-  (2e-29, 1.78e-85j)
| (0.060221175094138147659 + 2.8016539204969863641e-440j)  +/-  (1.02e-29, 9.08e-86j)
| (0.027062331453044251315 - 1.7198504673257324459e-440j)  +/-  (7.91e-30, 7.02e-86j)
| (0.049726556814363713994 - 4.3248709574990266723e-439j)  +/-  (3.27e-29, 2.9e-85j)
| (0.01521482753358519501 + 2.5919068698156187247e-438j)  +/-  (2.39e-28, 2.12e-84j)
| (0.01521482753358519501 + 1.2305874508338412822e-440j)  +/-  (1.54e-30, 1.37e-86j)
| (0.049726556814363713994 - 2.4644789107151589871e-440j)  +/-  (4.4e-31, 3.9e-87j)
| (0.0040729213825398200643 - 4.7559835586555019443e-441j)  +/-  (6.85e-31, 6.08e-87j)
| (0.078904277009866494592 + 1.9517338305658682947e-439j)  +/-  (3.59e-33, 3.19e-89j)
| (0.060221175094138147659 + 3.1590916635597119695e-439j)  +/-  (3.43e-32, 3.05e-88j)
| (0.10741617394295284207 - 8.8410546103754837444e-440j)  +/-  (2.55e-34, 2.27e-90j)
| (0.069985988544315305067 - 3.1373953113980581949e-440j)  +/-  (1.71e-33, 1.52e-89j)
| (0.093779559162353593363 + 4.2335429485190804154e-440j)  +/-  (5.41e-35, 4.8e-91j)
| (0.10941106682549089847 + 6.2816237366983049854e-440j)  +/-  (4.04e-35, 3.59e-91j)
| (0.069985988544315305067 - 2.4362745449270119779e-439j)  +/-  (4.55e-34, 4.04e-90j)
| (0.099553012552240332368 - 1.1596163253218949415e-439j)  +/-  (1.13e-35, 1e-91j)
| (0.099553012552240332368 - 4.6594702803872753636e-440j)  +/-  (4.96e-36, 4.41e-92j)
| (0.078904277009866494592 + 3.4819369037133333121e-440j)  +/-  (2.22e-35, 1.97e-91j)
| (0.10941106682549089847 + 7.8342823240791847936e-440j)  +/-  (6.38e-36, 5.66e-92j)
| (0.093779559162353593363 + 1.3539926535528527956e-439j)  +/-  (2.28e-36, 2.03e-92j)
| (0.086868087156534122334 - 1.6081572588643647514e-439j)  +/-  (3.28e-36, 2.92e-92j)
| (0.10741617394295284207 - 5.6684981247000684351e-440j)  +/-  (1.74e-37, 1.55e-93j)
| (0.086868087156534122334 - 3.8443047333136700299e-440j)  +/-  (1.33e-37, 1.18e-93j)
| (0.10411707499041873899 + 5.1333211522001267196e-440j)  +/-  (9.71e-38, 8.68e-94j)
| (0.10411707499041873899 + 1.0068849357770933181e-439j)  +/-  (7.94e-38, 6.61e-94j)
