Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 14 16
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 3/2*t^16 - 10827/1972*t^14 + 47593/5916*t^12 - 889889/147900*t^10 + 549549/226780*t^8 - 1001/1972*t^6 + 11011/226780*t^4 - 3861/2525860*t^2 + 1859/366249700
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^32 - 546886779/46572724*t^30 + 33118633288331/796485119892*t^28 - 510766714744740765849/5799931631917553900*t^26 + 1425305655254823755493493797/11467713213585457994601436*t^24 - 59517331140926376068468392164387/482789230503267748686895072804*t^22 + 11214657891424713439632479017191685277595/126984444380933426023763571206547201316*t^20 - 2357702240340956828318492770356450910183525575/50982857590056580280854812440145429309159524*t^18 + 5365989344487024326138034557530156419015097337806407/302927870925386734060019943928891633016713905042548*t^16 - 1490135380091262043194909399436075816956913920031185/302927870925386734060019943928891633016713905042548*t^14 + 93811029047060849244653403957606028223629782588639/96537453371826541623522839274042388543787947760812*t^12 - 10164333053781503718909877893738877354011106261/76759173102432977702244505121157478301448142932*t^10 + 521400394649117200540258219860151619839046449901/43880660623557518919783108760928358428994521709460*t^8 - 3306004698341158927304705094887344891265211298679/5046275971709114675775057507506761219334369996587900*t^6 + 1826062325063116376925588057704837388826584777/91750472212892994105001045591032022169715818119780*t^4 - 7226366056615434401197092069144130951305349631/26846188169492490075123305939935969686858848381847628*t^2 + 133726976553126469431559526745888910140846761/175532768800527819721960077299581340260230931727465260
-------------------------------------------------
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:
| (-0.99764746658005870706 + 7.0829418147290337064e-452j)  +/-  (1.8e-117, 1.8e-117j)
| (-0.98812513120329170302 - 2.3231589272237751471e-453j)  +/-  (4.48e-117, 4.48e-117j)
| (-0.89697102837483843571 - 1.0568092114304010049e-455j)  +/-  (1.39e-117, 1.39e-117j)
| (0.57735026918962576451 - 2.329954544770375353e-458j)  +/-  (1.28e-120, 1.28e-120j)
| (0.93798437900993878791 + 6.5243160697172177635e-454j)  +/-  (2.82e-117, 2.82e-117j)
| (0.795235635465253032 - 3.433693655203215269e-462j)  +/-  (1.94e-118, 1.94e-118j)
| (0.9690592415084412941 - 4.1901393594077808435e-467j)  +/-  (4.63e-117, 4.63e-117j)
| (-0.93798437900993878791 + 1.1529165661973976248e-481j)  +/-  (2.99e-117, 2.99e-117j)
| (-0.9690592415084412941 + 3.8471133573977844331e-484j)  +/-  (3.92e-117, 3.92e-117j)
| (0.98812513120329170302 + 1.5179610429363376688e-487j)  +/-  (4.72e-117, 4.72e-117j)
| (0.89697102837483843571 - 7.7471915189693798227e-498j)  +/-  (1.54e-117, 1.54e-117j)
| (0.99764746658005870706 - 2.8197929054935957415e-501j)  +/-  (1.87e-117, 1.87e-117j)
| (-0.85001680456214491633 - 1.1806050033877954669e-507j)  +/-  (6.36e-118, 6.36e-118j)
| (-0.795235635465253032 - 2.9298175034949113443e-511j)  +/-  (1.99e-118, 1.99e-118j)
| (-0.061237645707923134607 - 7.9450880072335049473e-519j)  +/-  (3.1e-127, 3.1e-127j)
| (0.85001680456214491633 + 5.6195745828502471136e-511j)  +/-  (6.56e-118, 6.56e-118j)
| (0.40545074306610185911 - 2.4891169477274804008e-519j)  +/-  (1.17e-122, 1.17e-122j)
| (-0.29588981964184911538 - 9.4092676232937267436e-520j)  +/-  (6.88e-124, 6.88e-124j)
| (-0.72799373091578229991 - 1.4686265526038503168e-515j)  +/-  (4.06e-119, 4.06e-119j)
| (-0.40545074306610185911 + 1.1155898850138818248e-519j)  +/-  (9.65e-123, 9.65e-123j)
| (0.50011462987693130952 - 1.1633308229495850942e-517j)  +/-  (1.58e-121, 1.58e-121j)
| (0.72799373091578229991 + 1.9307276316307433953e-515j)  +/-  (4.09e-119, 4.09e-119j)
| (0.061237645707923134607 + 1.2272806504876716636e-525j)  +/-  (3.1e-127, 3.1e-127j)
| (-0.50011462987693130952 + 6.4111214219225075857e-519j)  +/-  (1.5e-121, 1.5e-121j)
| (-0.57735026918962576451 - 1.07980056762546102e-517j)  +/-  (1.15e-120, 1.15e-120j)
| (0.18409095052646762927 - 5.7713381746838396319e-525j)  +/-  (3.93e-125, 3.93e-125j)
| (0.65214722729328025447 - 5.9060647446104058209e-519j)  +/-  (7.53e-120, 7.53e-120j)
| (0.22374161346734564129 - 4.9576805019802398307e-523j)  +/-  (1.71e-124, 1.71e-124j)
| (-0.18409095052646762927 - 1.2593106202486206734e-524j)  +/-  (4.44e-125, 4.44e-125j)
| (-0.65214722729328025447 - 8.0138564774003642883e-522j)  +/-  (7.45e-120, 7.45e-120j)
| (-0.22374161346734564129 + 9.1808865175602398224e-526j)  +/-  (1.65e-124, 1.65e-124j)
| (0.29588981964184911538 + 5.0053388031725218494e-525j)  +/-  (6.82e-124, 6.82e-124j)
-------------------------------------------------
The weights are:
| (0.0058792310607564714524 + 8.4776088259678995354e-452j)  +/-  (2.72e-23, 3.3e-78j)
| (0.013580278823568788833 - 1.2700244071464708047e-451j)  +/-  (2.11e-23, 2.57e-78j)
| (0.044479808537238171801 + 3.5791574936344928468e-452j)  +/-  (3.22e-24, 3.91e-79j)
| (0.072934827389452008252 + 6.8635682912216145147e-453j)  +/-  (6.42e-25, 7.81e-80j)
| (0.036710452934333276154 + 1.1877698755599379523e-453j)  +/-  (1.92e-25, 2.33e-80j)
| (0.060861434954038425329 - 2.7285631934071893783e-453j)  +/-  (2.77e-25, 3.37e-80j)
| (0.025054398956059207356 - 1.5225873637120427948e-453j)  +/-  (6.12e-26, 7.43e-81j)
| (0.036710452934333276154 - 4.274348946781568569e-452j)  +/-  (5.14e-25, 6.25e-80j)
| (0.025054398956059207356 + 6.64111223369982335e-452j)  +/-  (1.09e-24, 1.32e-79j)
| (0.013580278823568788833 + 8.5446868703655109407e-454j)  +/-  (1.1e-26, 1.34e-81j)
| (0.044479808537238171801 - 1.0706042857008190842e-453j)  +/-  (2.79e-27, 3.39e-82j)
| (0.0058792310607564714524 - 2.8175703099773488428e-454j)  +/-  (4.5e-27, 5.47e-82j)
| (0.049768570955313164119 - 3.2375199031511397159e-452j)  +/-  (2.18e-28, 2.66e-83j)
| (0.060861434954038425329 + 2.7415373207452023052e-452j)  +/-  (3.86e-29, 4.69e-84j)
| (0.12235882676908092131 - 1.5699016824046149278e-452j)  +/-  (1.19e-31, 1.45e-86j)
| (0.049768570955313164119 + 2.0729096912406097588e-453j)  +/-  (6.76e-29, 8.22e-84j)
| (0.10315307252710655882 + 9.4705160208220364216e-453j)  +/-  (1.44e-31, 1.75e-86j)
| (0.11605820544991982547 + 4.0321441999335943115e-452j)  +/-  (7.54e-32, 9.16e-87j)
| (0.07289090460989182776 - 2.3803117403608657144e-452j)  +/-  (4.9e-31, 5.95e-86j)
| (0.10315307252710655882 - 2.2920146880295881354e-452j)  +/-  (3.76e-32, 4.57e-87j)
| (0.085081699839289063898 - 7.9710210923501046261e-453j)  +/-  (6.9e-32, 8.39e-87j)
| (0.07289090460989182776 + 3.4338674275589424802e-453j)  +/-  (1.48e-31, 1.8e-86j)
| (0.12235882676908092131 + 1.3847037206040037788e-452j)  +/-  (2.58e-33, 3.14e-88j)
| (0.085081699839289063898 + 2.4722825242825917189e-452j)  +/-  (6.7e-33, 8.14e-88j)
| (0.072934827389452008252 - 2.6766272692865556881e-452j)  +/-  (5.01e-33, 6.09e-88j)
| (0.12816479511361036931 - 4.2091981578000478539e-452j)  +/-  (7.32e-34, 8.9e-89j)
| (0.076920789274068368333 - 4.9020330797342848111e-453j)  +/-  (1.73e-33, 2.1e-88j)
| (-0.013897297193726448209 + 5.0618746796268934303e-452j)  +/-  (5.28e-34, 6.43e-89j)
| (0.12816479511361036931 + 6.1639876790401634121e-452j)  +/-  (6.11e-35, 7.46e-90j)
| (0.076920789274068368333 + 2.4718420646254802965e-452j)  +/-  (1.74e-35, 2.1e-90j)
| (-0.013897297193726448209 - 8.0695870195498956023e-452j)  +/-  (6.3e-35, 7.71e-90j)
| (0.11605820544991982547 - 2.157150658084912396e-452j)  +/-  (2.64e-35, 3.07e-90j)
