Starting with polynomial:
P : 4*t^2 - 1
Extension levels are: 2 30
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P1 : 4*t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^32 - 31*t^30 + 435/4*t^28 - 1827/8*t^26 + 20475/64*t^24 - 40365/128*t^22 + 115115/512*t^20 - 120175/1024*t^18 + 735471/16384*t^16 - 408595/32768*t^14 + 323323/131072*t^12 - 88179/262144*t^10 + 62985/2097152*t^8 - 6783/4194304*t^6 + 765/16777216*t^4 - 17/33554432*t^2 + 1/1073741824
-------------------------------------------------
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:
| (-0.99547192257308460473 + 3.0916376111808603388e-446j)  +/-  (6.06e-118, 6.06e-118j)
| (-0.9819286972627067004 + 2.4133715994260928681e-454j)  +/-  (1.39e-117, 1.39e-117j)
| (-0.88883544865492346631 + 2.2283052189697140388e-462j)  +/-  (9.94e-118, 9.94e-118j)
| (0.95949297361449738989 + 1.6747676869601127934e-472j)  +/-  (2.3e-117, 2.3e-117j)
| (0.88883544865492346631 - 5.0482200587182278636e-474j)  +/-  (1.02e-117, 1.02e-117j)
| (0.9283679330160726102 + 6.8637346289613658684e-477j)  +/-  (1.74e-117, 1.74e-117j)
| (0.41541501300188642553 + 1.6578011798921354422e-479j)  +/-  (8.44e-123, 8.44e-123j)
| (-0.9283679330160726102 + 3.8091480572362092698e-475j)  +/-  (1.58e-117, 1.58e-117j)
| (-0.95949297361449738989 + 5.3209456688117633709e-492j)  +/-  (1.93e-117, 1.93e-117j)
| (0.99547192257308460473 - 4.2642426217275516785e-502j)  +/-  (5.74e-118, 5.74e-118j)
| (0.84125353283118116886 + 7.148406380281325716e-503j)  +/-  (4.01e-118, 4.01e-118j)
| (0.9819286972627067004 + 2.669179374985878436e-504j)  +/-  (1.38e-117, 1.38e-117j)
| (-0.84125353283118116886 + 2.3037506576408797542e-503j)  +/-  (4.12e-118, 4.12e-118j)
| (-0.78605309474278746976 + 5.7585294717628903176e-507j)  +/-  (1.23e-118, 1.23e-118j)
| (-0.04758191582374229745 + 1.6592207546639503548e-511j)  +/-  (1.3e-127, 1.3e-127j)
| (0.78605309474278746976 - 1.5505773680686901764e-508j)  +/-  (1.51e-118, 1.51e-118j)
| (0.5800569095711981792 - 9.0434731568749722759e-513j)  +/-  (8.52e-121, 8.52e-121j)
| (-0.32706796331742163634 + 2.1260631567995865829e-513j)  +/-  (5.7e-124, 5.7e-124j)
| (-0.72373403810507016164 - 1.9846762330103544934e-509j)  +/-  (2.81e-119, 2.81e-119j)
| (-0.41541501300188642553 + 9.5795118524987574022e-514j)  +/-  (8.68e-123, 8.68e-123j)
| (0.5 + 9.1856222511390180072e-514j)  +/-  (8.14e-122, 8.14e-122j)
| (0.72373403810507016164 + 2.0425488445285412057e-510j)  +/-  (3.21e-119, 3.21e-119j)
| (0.14231483827328514044 - 3.3811496437730381041e-519j)  +/-  (2.04e-126, 2.04e-126j)
| (-0.5 + 2.3913496176287933739e-513j)  +/-  (1.13e-121, 1.13e-121j)
| (-0.5800569095711981792 + 1.2026198456439253844e-511j)  +/-  (9.57e-121, 9.57e-121j)
| (0.04758191582374229745 + 8.8341742599115782511e-519j)  +/-  (1.3e-127, 1.3e-127j)
| (0.65486073394528506406 + 2.2123044185729404436e-513j)  +/-  (6.59e-120, 6.59e-120j)
| (0.32706796331742163634 - 9.0506815243361631892e-518j)  +/-  (7.3e-124, 7.3e-124j)
| (-0.14231483827328514044 + 3.6034504581673042234e-519j)  +/-  (2.04e-126, 2.04e-126j)
| (-0.65486073394528506406 - 7.4116292610879816846e-515j)  +/-  (5.5e-120, 5.5e-120j)
| (-0.23575893550942722825 + 4.1514422002429828771e-522j)  +/-  (4.38e-125, 4.38e-125j)
| (0.23575893550942722825 - 3.2944946313118396283e-523j)  +/-  (5.36e-125, 5.36e-125j)
-------------------------------------------------
The weights are:
| (0.00027380761723171666063 + 1.3989265670162204135e-447j)  +/-  (6.74e-27, 4.81e-82j)
| (0.0010853343482413240879 - 2.4775933355918238121e-447j)  +/-  (5.01e-27, 3.57e-82j)
| (0.006362774097406088194 + 1.844715115973171571e-447j)  +/-  (5.74e-28, 4.09e-83j)
| (0.0024052495025578610779 - 3.8037305848462063112e-449j)  +/-  (3.03e-28, 2.16e-83j)
| (0.006362774097406088194 - 1.0439587434983640473e-448j)  +/-  (1.2e-28, 8.59e-84j)
| (0.0041858479074989369449 + 6.726716200505716291e-449j)  +/-  (1.68e-28, 1.19e-83j)
| (0.025073647484019470668 + 5.4943191439014226335e-448j)  +/-  (7.93e-30, 5.66e-85j)
| (0.0041858479074989369449 - 1.928517929317426535e-447j)  +/-  (2.43e-28, 1.73e-83j)
| (0.0024052495025578610779 + 2.0668084945597986311e-447j)  +/-  (2.95e-28, 2.1e-83j)
| (0.00027380761723171666063 - 4.2518221851002830519e-450j)  +/-  (6.14e-30, 4.38e-85j)
| (0.0088573482878502056738 + 1.4908984250272878658e-448j)  +/-  (2.28e-30, 1.63e-85j)
| (0.0010853343482413240879 + 1.696904730228214894e-449j)  +/-  (1.63e-29, 1.16e-84j)
| (0.0088573482878502056738 - 1.7756449742170673537e-447j)  +/-  (6.62e-31, 4.72e-86j)
| (0.01157941006803898139 + 1.7094613580718485505e-447j)  +/-  (1.25e-31, 8.9e-87j)
| (0.030234423069289160678 - 9.8612579632186391985e-448j)  +/-  (6.27e-34, 4.47e-89j)
| (0.01157941006803898139 - 2.009477220475842218e-448j)  +/-  (4.31e-32, 3.07e-87j)
| (0.020107090353294267217 + 3.9455854459728071889e-448j)  +/-  (1.08e-33, 7.73e-89j)
| (0.027061410526405870754 + 1.2516992571619653847e-447j)  +/-  (2.58e-34, 1.84e-89j)
| (0.014430577032973601554 - 1.6418069356429470781e-447j)  +/-  (2.25e-33, 1.61e-88j)
| (0.025073647484019470668 - 1.3363969933364546309e-447j)  +/-  (1.74e-34, 1.24e-89j)
| (0.022727272727272727273 - 4.6984827698268822696e-448j)  +/-  (3.52e-34, 2.51e-89j)
| (0.014430577032973601554 + 2.595041860927284296e-448j)  +/-  (8.97e-34, 6.4e-89j)
| (0.02968928747900753621 - 8.0672864417790642846e-448j)  +/-  (1.02e-35, 7.29e-91j)
| (0.022727272727272727273 + 1.4181326407840925932e-447j)  +/-  (1.45e-35, 1.04e-90j)
| (0.020107090353294267217 - 1.4964272917541841309e-447j)  +/-  (1.02e-35, 7.27e-91j)
| (0.030234423069289160678 + 8.9615583906742678376e-448j)  +/-  (2.22e-36, 1.58e-91j)
| (0.017307800579898259704 - 3.2423430880511116816e-448j)  +/-  (1.31e-35, 9.34e-91j)
| (0.027061410526405870754 - 6.3260151794105641351e-448j)  +/-  (1.31e-36, 9.32e-92j)
| (0.02968928747900753621 + 1.0758688965997708523e-447j)  +/-  (2.99e-37, 2.15e-92j)
| (0.017307800579898259704 + 1.5709832381080621489e-447j)  +/-  (2.56e-37, 1.83e-92j)
| (0.028618718919013991914 - 1.1646333364998950355e-447j)  +/-  (1.85e-37, 1.33e-92j)
| (0.028618718919013991914 + 7.1861996078683126663e-448j)  +/-  (1.7e-37, 1.19e-92j)
