Starting with polynomial:
P : 8*t^3 - 4*t
Extension levels are: 3 32
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P1 : 8*t^3 - 4*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 8*t^35 - 68*t^33 + 264*t^31 - 620*t^29 + 31465/32*t^27 - 71253/64*t^25 + 118755/128*t^23 - 148005/256*t^21 + 2220075/8192*t^19 - 1562275/16384*t^17 + 408595/16384*t^15 - 156009/32768*t^13 + 676039/1048576*t^11 - 124355/2097152*t^9 + 14535/4194304*t^7 - 969/8388608*t^5 + 969/536870912*t^3 - 9/1073741824*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: 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:
| (-0.98480775301220805937 - 1.3325619337420510668e-399j)  +/-  (1.69e-116, 1.69e-116j)
| (-0.9961946980917455323 + 3.1135640254205378345e-410j)  +/-  (7.1e-117, 7.1e-117j)
| (-0.90630778703664996324 + 1.9050937052061504046e-419j)  +/-  (1.44e-116, 1.44e-116j)
| (0.9961946980917455323 - 5.7469211880514696044e-430j)  +/-  (6.41e-117, 6.41e-117j)
| (0.86602540378443864676 - 1.5722946421452019961e-432j)  +/-  (5.74e-117, 5.74e-117j)
| (0.90630778703664996324 - 4.6679665918798060893e-432j)  +/-  (1.47e-116, 1.47e-116j)
| (0.98480775301220805937 + 6.9636347854981784985e-432j)  +/-  (2e-116, 2e-116j)
| (-0.86602540378443864676 + 9.1567948008474816196e-433j)  +/-  (8.52e-117, 8.52e-117j)
| (-0.96592582628906828675 + 7.7797868953732672477e-439j)  +/-  (2.67e-116, 2.67e-116j)
| (0.93969262078590838405 - 2.3695414035995909301e-450j)  +/-  (2.2e-116, 2.2e-116j)
| (0.81915204428899178968 - 9.2452043349690076731e-453j)  +/-  (2.56e-117, 2.56e-117j)
| (0.96592582628906828675 - 1.2877631067998021482e-453j)  +/-  (2.59e-116, 2.59e-116j)
| (-0.93969262078590838405 + 1.2732406414612675096e-452j)  +/-  (2.3e-116, 2.3e-116j)
| (-0.81915204428899178968 - 2.9999400774047179715e-459j)  +/-  (2.61e-117, 2.61e-117j)
| (-0.5 - 7.4284100123772037511e-466j)  +/-  (3.98e-121, 3.98e-121j)
| (0.7660444431189780352 + 1.0564329580344324235e-461j)  +/-  (7.4e-118, 7.4e-118j)
| (0.64278760968653932632 - 1.3099216832900644586e-463j)  +/-  (3.09e-119, 3.09e-119j)
| (-0.25881904510252076235 + 6.1182029805182380152e-469j)  +/-  (1.77e-124, 1.77e-124j)
| (-0.7660444431189780352 + 2.0903425843960501785e-461j)  +/-  (6.24e-118, 6.24e-118j)
| (-0.34202014332566873304 + 2.0347314464702445429e-470j)  +/-  (2.99e-123, 2.99e-123j)
| (0.42261826174069943619 - 4.6752263919644252157e-468j)  +/-  (3.15e-122, 3.15e-122j)
| (0.7071067811865475244 - 2.4039539051254155043e-465j)  +/-  (1.54e-118, 1.54e-118j)
| (0.17364817766693034885 + 2.2038747642738189233e-472j)  +/-  (1.32e-125, 1.32e-125j)
| (-0.64278760968653932632 - 1.6900516414180508718e-462j)  +/-  (2.39e-119, 2.39e-119j)
| (-0.7071067811865475244 + 1.0643158117212484502e-466j)  +/-  (1.52e-118, 1.52e-118j)
| (0.087155742747658173558 - 3.6980482781456520442e-476j)  +/-  (5.91e-127, 5.91e-127j)
| (0.57357643635104609611 - 3.8704049631529883984e-469j)  +/-  (3.12e-120, 3.12e-120j)
| (0.34202014332566873304 - 9.9956466303728641404e-475j)  +/-  (3.04e-123, 3.04e-123j)
| (-0.17364817766693034885 + 1.7762086672100808213e-475j)  +/-  (9.02e-126, 9.02e-126j)
| (-0.57357643635104609611 + 4.1787257561162404593e-471j)  +/-  (4.07e-120, 4.07e-120j)
| (-0.087155742747658173558 - 2.3742937823373428193e-478j)  +/-  (5.91e-127, 5.91e-127j)
| (0.25881904510252076235 + 2.0931214040832372547e-475j)  +/-  (1.97e-124, 1.97e-124j)
| (0.5 - 2.0168854921818900484e-472j)  +/-  (3.46e-121, 3.46e-121j)
| (4.9156449451042160953e-488 - 1.0392905547590094909e-487j)  +/-  (4.02e-486, 4.02e-486j)
| (-0.42261826174069943619 + 3.6523785963120385316e-474j)  +/-  (3.54e-122, 3.54e-122j)
-------------------------------------------------
The weights are:
| (0.00083760248908460577703 - 5.4679888490544954252e-401j)  +/-  (1.65e-19, 6.2e-75j)
| (0.00021100343038599917546 - 2.4692763269046882113e-401j)  +/-  (1e-19, 3.76e-75j)
| (0.0049612831987980649122 + 8.421936304310862662e-401j)  +/-  (2.16e-20, 8.13e-76j)
| (0.00021100343038599917546 + 1.4193578562773356346e-403j)  +/-  (1.91e-20, 7.16e-76j)
| (0.0069444444444444444444 - 4.9998576499917153434e-402j)  +/-  (8.85e-21, 3.33e-76j)
| (0.0049612831987980649122 + 3.495935067624182203e-402j)  +/-  (6.96e-21, 2.62e-76j)
| (0.00083760248908460577703 - 5.6668785820059976798e-403j)  +/-  (3.18e-21, 1.2e-76j)
| (0.0069444444444444444444 - 7.7906375635876238269e-401j)  +/-  (6.55e-22, 2.46e-77j)
| (0.0018607582807716854616 + 1.3132005484636672033e-400j)  +/-  (2.48e-21, 9.32e-77j)
| (0.0032493827344586384 - 2.2499365545215729487e-402j)  +/-  (9.29e-22, 3.49e-77j)
| (0.0091386091204768231522 + 6.7505731889349971062e-402j)  +/-  (4.81e-23, 1.81e-78j)
| (0.0018607582807716854616 + 1.2710990774031778576e-402j)  +/-  (9.15e-22, 3.44e-77j)
| (0.0032493827344586384 - 9.5976749407704535631e-401j)  +/-  (9.11e-23, 3.42e-78j)
| (0.0091386091204768231522 + 7.3512484027391022844e-401j)  +/-  (2.66e-24, 1e-79j)
| (0.020833333333333333333 - 5.7263331250591812356e-401j)  +/-  (1.7e-26, 6.4e-82j)
| (0.011477108643514856266 - 8.7351508721978227136e-402j)  +/-  (6.8e-25, 2.56e-80j)
| (0.016300669134262921512 - 1.3345854676883374367e-401j)  +/-  (2.62e-26, 9.83e-82j)
| (0.025917019497006092316 + 4.7571034152850251343e-401j)  +/-  (6.06e-28, 2.28e-83j)
| (0.011477108643514856266 - 6.9910983224626773358e-401j)  +/-  (1.75e-26, 6.59e-82j)
| (0.024528395043319139378 - 5.0849775320348989602e-401j)  +/-  (6.95e-28, 2.61e-83j)
| (0.022816494578979712866 + 2.1602835118422075488e-401j)  +/-  (5.71e-29, 2.15e-84j)
| (0.013888888888888888889 + 1.093897136151773945e-401j)  +/-  (6.98e-27, 2.62e-82j)
| (0.026940175288693172001 - 3.0989052866115995499e-401j)  +/-  (8.17e-30, 3.07e-85j)
| (0.016300669134262921512 - 6.3509859308639513607e-401j)  +/-  (8.12e-29, 3.05e-84j)
| (0.013888888888888888889 + 6.6646524547781526141e-401j)  +/-  (2.17e-28, 8.14e-84j)
| (0.027566774347391778602 + 3.4268362941035666576e-401j)  +/-  (1.67e-30, 6.29e-86j)
| (0.018639168657300954626 + 1.5938204968597575505e-401j)  +/-  (8.63e-30, 3.24e-85j)
| (0.024528395043319139378 - 2.4634397288062528445e-401j)  +/-  (1.41e-30, 5.29e-86j)
| (0.026940175288693172001 - 4.4256954081565319649e-401j)  +/-  (2.44e-31, 9.18e-87j)
| (0.018639168657300954626 + 6.0398723598055350407e-401j)  +/-  (7.88e-31, 2.96e-86j)
| (0.027566774347391778602 + 4.0922800497503026593e-401j)  +/-  (9.04e-32, 3.4e-87j)
| (0.025917019497006092316 + 2.7770416069286432675e-401j)  +/-  (6.67e-32, 2.5e-87j)
| (0.020833333333333333333 - 1.8697172679280092307e-401j)  +/-  (6.93e-32, 2.6e-87j)
| (0.027777777777777777778 - 3.7586634709412835741e-401j)  +/-  (3.49e-32, 1.32e-87j)
| (0.022816494578979712866 + 5.4082106852105451263e-401j)  +/-  (2.22e-32, 8.05e-88j)
