Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 8 15
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Trying to find an order 8 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
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Trying to find an order 15 Kronrod extension for:
P2 : 231/16*t^14 - 3731/80*t^12 + 1182181/20400*t^10 - 200960617/5814000*t^8 + 14859361517/1482570000*t^6 - 123220867/98838000*t^4 + 4422019/98838000*t^2 - 22771/889542000
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 231/16*t^29 - 144932622283605439795318253215164707033394199253786365872972601/1442118343571075730762921627993736939348362967718291132717920*t^27 + 939082652669761591962541108355123631217610371318635170439702082529/3015469456407119353025269124134903940177426965498946758513170720*t^25 - 942670797982756272057648392983144757595023054851599551555470162315823/1665104540459806217748640794483242269466722952511449663216491456950*t^23 + 2275188269150345477733179947283404407939640690291941841114781679500240759/3396813262538004684207227220745814229712114823123357312961642572178000*t^21 - 30616507739381909336493986058819952895940006587509091484933240868048876049/56613554375633411403453787012430237161868580385389288549360709536300000*t^19 + 1509002602307042310759519570334861994660610692570715171928984337578552783/4966101261020474684513490088809669926479700033806077942926378029500000*t^17 - 131861662026328139294389717158198056119075583564207569387322687917660687/1108673514652127166268009476357747029650734071128463291626924749103125*t^15 + 3211313978800351860542335918331580941956097555149079305101371784242781731/100519731995126196408299525856435730688333222448980671774174510585350000*t^13 - 10309672116852609690207095316839892805586546104769517402476498824061756383/1809355175912271535349391465415843152389998004081652091935141190536300000*t^11 + 3457723627346199260935960624766298575720400233496520703880418060063448431/5428065527736814606048174396247529457169994012244956275805423571608900000*t^9 - 38111107180676339726683199723705598076067326501607989583822555426781941/942372487454308091327808054904084975203123960459193797882886036737656250*t^7 + 107818729098882796691538858272024478330388956654345720512058773552257/88693881172170173301440758108619762372058725690277063330153979928250000*t^5 - 1979151827732355072244679860389679463298887768022348669685328671227797/171888741711665795858192189214505099477049810387756948733838413100948500000*t^3 + 6129340402792864594608402981132720529223374528791741729054922128173/974036203032772843196422405548862230369948925530622709491751007572041500000*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:
| (-0.99822051092958091119 - 2.1099830503539539643e-434j)  +/-  (2.13e-118, 2.13e-118j)
| (-0.98851944675836295466 - 9.3604311172309153162e-451j)  +/-  (3.58e-118, 3.58e-118j)
| (-0.88394995635735031525 + 2.1708395818950717223e-457j)  +/-  (5.87e-119, 5.87e-119j)
| (-8.1247753632577694454e-471 - 3.3986413642868269979e-470j)  +/-  (1.01e-468, 1.01e-468j)
| (0.93246951420315202781 + 5.392507901817898979e-461j)  +/-  (1.79e-118, 1.79e-118j)
| (0.9671617825196587182 + 8.9006776712700081161e-461j)  +/-  (3.1e-118, 3.1e-118j)
| (0.99822051092958091119 - 1.3163228775951495167e-461j)  +/-  (1.96e-118, 1.96e-118j)
| (-0.9671617825196587182 + 9.2275588425821080362e-462j)  +/-  (3.18e-118, 3.18e-118j)
| (-0.93246951420315202781 - 6.5182893320543575177e-475j)  +/-  (1.7e-118, 1.7e-118j)
| (0.98851944675836295466 - 2.0470685164177392141e-480j)  +/-  (3.82e-118, 3.82e-118j)
| (0.88394995635735031525 + 2.5200707493913712217e-481j)  +/-  (6.19e-119, 6.19e-119j)
| (0.82190330787833020415 + 2.5019501325180876742e-482j)  +/-  (1.67e-119, 1.67e-119j)
| (-0.66120938646626451366 + 1.932497145150522275e-483j)  +/-  (5.04e-121, 5.04e-121j)
| (-0.74721509450309163262 + 2.0764209323307856529e-483j)  +/-  (3.2e-120, 3.2e-120j)
| (-0.12339761132613776589 + 1.3943884952632200152e-496j)  +/-  (1.25e-126, 1.25e-126j)
| (0.74721509450309163262 + 4.444225435415603335e-490j)  +/-  (3.25e-120, 3.25e-120j)
| (0.46194088448213480754 - 1.8408815741797115887e-493j)  +/-  (5.58e-123, 5.58e-123j)
| (0.02411517758027983534 + 6.5112252538887393535e-492j)  +/-  (8.4e-128, 8.4e-128j)
| (-0.82190330787833020415 + 2.9857463047401880186e-493j)  +/-  (1.81e-119, 1.81e-119j)
| (-0.35233855338644871541 + 9.0835246872166174955e-503j)  +/-  (3.67e-124, 3.67e-124j)
| (0.35233855338644871541 + 6.0488858671765872749e-502j)  +/-  (3.61e-124, 3.61e-124j)
| (0.66120938646626451366 + 3.551767762478015511e-499j)  +/-  (5.7e-121, 5.7e-121j)
| (-0.02411517758027983534 - 4.5373693191178776968e-503j)  +/-  (8.4e-128, 8.4e-128j)
| (-0.46194088448213480754 + 1.092903100540514586e-501j)  +/-  (5.42e-123, 5.42e-123j)
| (-0.56551697719989303335 - 3.6015039448241350276e-501j)  +/-  (6.44e-122, 6.44e-122j)
| (0.12339761132613776589 + 2.0415967048970382458e-506j)  +/-  (1.22e-126, 1.22e-126j)
| (0.56551697719989303335 - 3.7931863375966531118e-503j)  +/-  (5.4e-122, 5.4e-122j)
| (0.23861918608319690863 + 3.5267438095570048228e-507j)  +/-  (2.5e-125, 2.5e-125j)
| (-0.23861918608319690863 + 1.3126471391760843673e-512j)  +/-  (2.2e-125, 2.2e-125j)
-------------------------------------------------
The weights are:
| (0.0049117085097349642523 - 1.9805258791734938589e-434j)  +/-  (1.19e-27, 1.34e-83j)
| (0.015115469423296784874 + 2.7232783657362042819e-434j)  +/-  (9.46e-28, 1.06e-83j)
| (0.055387394990223885649 - 3.574005943320087314e-435j)  +/-  (1.39e-28, 1.56e-84j)
| (0.018272027999189683335 - 5.0872525611197384416e-433j)  +/-  (6.86e-29, 7.7e-85j)
| (0.041598392742490689409 + 1.9628083164915520563e-436j)  +/-  (1.51e-29, 1.69e-85j)
| (0.027862843041699831738 - 1.7484795338080966086e-436j)  +/-  (1.01e-29, 1.13e-85j)
| (0.0049117085097349642523 - 5.1910482655626129902e-437j)  +/-  (1.68e-30, 1.88e-86j)
| (0.027862843041699831738 - 1.1064299448611659856e-434j)  +/-  (4.95e-30, 5.56e-86j)
| (0.041598392742490689409 + 5.7635239411885246957e-435j)  +/-  (1.67e-30, 1.87e-86j)
| (0.015115469423296784874 + 1.3297511876109379826e-436j)  +/-  (2.47e-30, 2.77e-86j)
| (0.055387394990223885649 - 2.169854687903646842e-436j)  +/-  (1.75e-31, 1.97e-87j)
| (0.068555978956735656609 + 2.4969228075459775971e-436j)  +/-  (3.16e-32, 3.54e-88j)
| (0.09113972629961969289 + 2.0171745501705621245e-435j)  +/-  (1.1e-33, 1.23e-89j)
| (0.080597615824019099907 - 2.1350287052758510441e-435j)  +/-  (2.36e-33, 2.65e-89j)
| (0.1141771188103683993 - 2.4050118155733499928e-434j)  +/-  (1.01e-34, 1.13e-90j)
| (0.080597615824019099907 - 3.0703153274877140197e-436j)  +/-  (2.25e-34, 2.53e-90j)
| (0.10689948437320482802 + 9.8729219322486260607e-436j)  +/-  (1.12e-35, 1.26e-91j)
| (0.057617942061165731477 + 2.6501576786808514497e-433j)  +/-  (1.09e-34, 1.23e-90j)
| (0.068555978956735656609 + 2.57757530013570489e-435j)  +/-  (9.37e-35, 1.05e-90j)
| (0.11199254542878567846 - 3.9433032014697270259e-435j)  +/-  (2.08e-36, 2.33e-92j)
| (0.11199254542878567846 - 1.8858178499888200256e-435j)  +/-  (1.08e-36, 1.21e-92j)
| (0.09113972629961969289 + 4.0966494846127361555e-436j)  +/-  (1.37e-36, 1.54e-92j)
| (0.057617942061165731477 + 2.7813735150984393702e-433j)  +/-  (4.13e-35, 4.64e-91j)
| (0.10689948437320482802 + 2.6881609433648361377e-435j)  +/-  (2.53e-37, 2.84e-93j)
| (0.099942439175265857572 - 2.171729782185893503e-435j)  +/-  (2.71e-37, 3.04e-93j)
| (0.1141771188103683993 - 1.8758250855015480691e-434j)  +/-  (3.05e-37, 3.45e-93j)
| (0.099942439175265857572 - 6.0094175537220041299e-436j)  +/-  (1.56e-38, 1.75e-94j)
| (0.11506532636379405818 + 4.5872459321513845563e-435j)  +/-  (4.99e-38, 5.66e-94j)
| (0.11506532636379405818 + 7.4692969631044542167e-435j)  +/-  (4.31e-38, 4.57e-94j)
