Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 6 25
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
-------------------------------------------------
Trying to find an order 25 Kronrod extension for:
P3 : 3/2*t^12 - 1595/364*t^10 + 318813/66248*t^8 - 10310751/4183088*t^6 + 2471775/4183088*t^4 - 33827/597584*t^2 + 31245/29281616
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^37 - 4828174601638505601380657911260985138488479992175030278240075935507932870115830239179402103487459783/349864304583975554096596587864900158201341059277209282391606660810476028682660902587011592846385084*t^35 + 219299194150099913919580575630158383451741529239002683981756886641292443318602333734152257561413676516547/3756842902622729499889254160493297898766000294518673274321072323782891595994412771979330483984483031992*t^33 - 90211066336661793078535075738295580277282271638592081620000334417988406068377356174801087819881624264802020015/599449367228287964461329172356631599322900538993988544997218942127445748840060490722565930685532081550707504*t^31 + 22631512631297165639892421798666446734469753491043354762161343592452451378482104324711382498169244112927501537/85635623889755423494475596050947371331842934141998363571031277446777964120008641531795132955076011650101072*t^29 - 1518995513109624355160710986537454150635100589987695283558089707799508572590649391664388380452719492516340061113/4538688066157037445207206590700210680587675509525913269264657704679232098360458001185142046619028617455356816*t^27 + 267603310322785462461277789371640806208743262755182747566570407342446413099382232721054061861150358689072807763/847886781589776226027719912548391006263631688592753028324166823951065337056349296924696865851906445019132592*t^25 - 65627171964079792048955972652084233991622272851347978431194669281028024677959075125346368063569961535928537277565/290825166085293245527507930004098115148425669187314288715189220615215410610327808845171024987203910641562479056*t^23 + 1686408959172178793407770683018665299910949810153355063839557403344364790719249013806229707756328991201483463318475/13668782806008782539792872710192611411976006451803771569613893368915124298685407015723038174398583800153436515632*t^21 - 705921814192767205317831159429174646605736327438693512306026651557350468154356355767329222979231315036824138259855/13668782806008782539792872710192611411976006451803771569613893368915124298685407015723038174398583800153436515632*t^19 + 11842995068518062137595771884197184483685874324460249064029809663952547482631243610150587050582153873129317250745/719409621368883291568045932115400600630316129042303766821783861521848647299231948195949377599925463165970342928*t^17 - 978280226777457395863507979312365599079037512219766915229389467694449259139387566051497730876774132613262138065/247863819127094243313360363165810290973470262947348356636076792625174744027466469546503567072243226805082218992*t^15 + 140205701972703098617714032087252448656141302728730142938341722939263291886316425997585788160782425748161412135/201097060801227404952348973889242311544513609561056213874552869488349320626057701707540629888801108539972366352*t^13 - 133843322309733320592380643460706052903455577139109061163085150442786315910733487511999440147810714899203644825/1522592031780721780353499373732834644551317329533711333621614583268930570454436884357093340586636964659790773808*t^11 + 562315014148613896273044365232599931087196961485308170092706725817983494314648814495341836392987103521583075185/74607009557255367237321469312908897583014549147151855347459114580177597952267407333497573688745211268329747916592*t^9 - 30394359637459955778330717368892214936262807156030025866941823277053885200294255938925871858815965555832905345/74607009557255367237321469312908897583014549147151855347459114580177597952267407333497573688745211268329747916592*t^7 + 11859104122726910252854779603562648837991727410806993615888475893622340992696953797589856243310723682538607405/969891124244319774085179101067815668579189138912974119516968489542308773379476295335468457953687746488286722915696*t^5 - 155253209578345140113714927699880657395220315610176152597191268259141006159607859971669242590231112511814805/969891124244319774085179101067815668579189138912974119516968489542308773379476295335468457953687746488286722915696*t^3 + 69532688652188178463405677948200426786268627063695201161719336085810920844939234848905483850617448897225/138555874892045682012168443009687952654169876987567731359566927077472681911353756476495493993383963784040960416528*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:
| (-0.99883334672839330843 - 1.3080326448714350402e-412j)  +/-  (1.32e-115, 1.32e-115j)
| (-0.99105250481616767714 - 6.4818334304920021883e-415j)  +/-  (2.85e-115, 2.85e-115j)
| (-0.91248695683407599658 + 1.5714401100513294122e-414j)  +/-  (2.72e-115, 2.72e-115j)
| (0.99883334672839330843 + 8.8656121256977101942e-413j)  +/-  (1.23e-115, 1.23e-115j)
| (0.91248695683407599658 - 2.8738695703791585516e-423j)  +/-  (2.68e-115, 2.68e-115j)
| (0.94738392460321263927 + 3.6787322269875500177e-431j)  +/-  (2.8e-115, 2.8e-115j)
| (-0.066559735554210002375 + 3.1698466979070653849e-452j)  +/-  (5.86e-127, 5.86e-127j)
| (-0.87926094186986950262 - 3.1510277675530922414e-439j)  +/-  (2.96e-115, 2.96e-115j)
| (-0.97390391569378183615 + 1.1550185986581034287e-439j)  +/-  (3.16e-115, 3.16e-115j)
| (0.99105250481616767714 - 1.5584767036412531452e-439j)  +/-  (2.66e-115, 2.66e-115j)
| (0.87926094186986950262 - 7.6973128323593200597e-449j)  +/-  (2.63e-115, 2.63e-115j)
| (0.97390391569378183615 + 1.0461812215148163298e-458j)  +/-  (3.26e-115, 3.26e-115j)
| (-0.94738392460321263927 + 1.0799312986006340465e-467j)  +/-  (2.95e-115, 2.95e-115j)
| (-0.8573107420189550968 + 1.4590668312401895595e-467j)  +/-  (1.41e-115, 1.41e-115j)
| (0.52759114047643378865 + 9.9101275821794557704e-473j)  +/-  (1.09e-119, 1.09e-119j)
| (0.74677180221832073614 - 1.0975520933753224879e-469j)  +/-  (2.74e-117, 2.74e-117j)
| (0.80814291248364355706 - 1.3848455955279266348e-468j)  +/-  (1.88e-116, 1.88e-116j)
| (-0.43693939954921891801 - 1.0158767690767184897e-475j)  +/-  (1.8e-121, 1.8e-121j)
| (-0.80814291248364355706 + 5.8216117090025814959e-470j)  +/-  (1.87e-116, 1.87e-116j)
| (-0.74677180221832073614 + 4.5566444000659364367e-472j)  +/-  (2.71e-117, 2.71e-117j)
| (0.8573107420189550968 + 8.1605968440549675743e-474j)  +/-  (1.51e-115, 1.51e-115j)
| (0.67689268390848088643 - 2.1398737940739674192e-478j)  +/-  (4.52e-118, 4.52e-118j)
| (0.25133042368217244851 + 5.3952717192845318649e-485j)  +/-  (2.29e-124, 2.29e-124j)
| (-0.67689268390848088643 - 1.3713604985717239555e-476j)  +/-  (4.68e-118, 4.68e-118j)
| (-0.57735026918962576451 - 4.1278699098558595635e-476j)  +/-  (2.2e-118, 2.2e-118j)
| (4.585333431129765511e-492 - 2.1958682459158366918e-491j)  +/-  (8.3e-490, 8.3e-490j)
| (0.59210346775461224015 + 6.422149688845234762e-477j)  +/-  (3.21e-118, 3.21e-118j)
| (0.43693939954921891801 + 2.588748777704974061e-482j)  +/-  (1.69e-121, 1.69e-121j)
| (-0.25133042368217244851 + 2.3588660655312339256e-484j)  +/-  (2.29e-124, 2.29e-124j)
| (-0.59210346775461224015 + 8.7811109408120343725e-481j)  +/-  (2.74e-118, 2.74e-118j)
| (-0.15655801081562154215 - 3.8557186513914154012e-487j)  +/-  (8.51e-126, 8.51e-126j)
| (0.34533321597373582932 + 1.578247085422830321e-486j)  +/-  (5.95e-123, 5.95e-123j)
| (0.57735026918962576451 + 5.8364345656927907138e-483j)  +/-  (1.91e-118, 1.91e-118j)
| (0.066559735554210002375 - 3.2586817016305579902e-491j)  +/-  (5.86e-127, 5.86e-127j)
| (-0.52759114047643378865 + 1.6339582931473898849e-484j)  +/-  (1.12e-119, 1.12e-119j)
| (-0.34533321597373582932 - 1.1957638247755351065e-488j)  +/-  (5.97e-123, 5.97e-123j)
| (0.15655801081562154215 + 4.9880953216412830174e-491j)  +/-  (7.27e-126, 7.27e-126j)
-------------------------------------------------
The weights are:
| (0.0035552707253340452524 - 1.1846348823639128024e-412j)  +/-  (9.87e-17, 1.3e-71j)
| (0.012375745765477931346 + 1.7263506752561733104e-412j)  +/-  (7.67e-17, 1.01e-71j)
| (0.037973839147333084615 - 1.2490175080843901838e-412j)  +/-  (1.48e-17, 1.95e-72j)
| (0.0035552707253340452524 - 8.0152670027302956174e-413j)  +/-  (9e-19, 1.19e-73j)
| (0.037973839147333084615 - 8.9313274714393133349e-413j)  +/-  (6.47e-19, 8.55e-74j)
| (0.031014318859399668132 + 6.0072503673434211528e-413j)  +/-  (5.88e-19, 7.77e-74j)
| (0.082353919957849074996 + 4.3694576103560543844e-413j)  +/-  (5.48e-20, 7.24e-75j)
| (0.02063780463473714997 + 2.265621355822492288e-412j)  +/-  (1.22e-18, 1.61e-73j)
| (0.021901044089513295207 - 9.5304303991068299986e-413j)  +/-  (3.27e-18, 4.32e-73j)
| (0.012375745765477931346 + 1.1741478852293354688e-412j)  +/-  (2.69e-19, 3.55e-74j)
| (0.02063780463473714997 + 1.650674431621303469e-412j)  +/-  (2.27e-20, 2.99e-75j)
| (0.021901044089513295207 - 6.5645600046246815905e-413j)  +/-  (2.1e-19, 2.77e-74j)
| (0.031014318859399668132 + 8.6972528414505960628e-413j)  +/-  (6.89e-20, 9.11e-75j)
| (0.036924720417782447632 - 1.9903926355877446457e-412j)  +/-  (1.3e-20, 1.71e-75j)
| (0.09680132969040136234 - 1.0206141056638402893e-412j)  +/-  (2.45e-23, 3.24e-78j)
| (0.065729125525798848845 - 4.3225993326569467941e-413j)  +/-  (1.01e-22, 1.33e-77j)
| (0.056670866417072312005 + 6.0571456881993425915e-413j)  +/-  (2.65e-22, 3.5e-77j)
| (0.090263155444959381481 + 3.6626715125530171443e-413j)  +/-  (1.18e-24, 1.56e-79j)
| (0.056670866417072312005 + 8.1716622999550903641e-413j)  +/-  (9.26e-23, 1.22e-77j)
| (0.065729125525798848845 - 5.7067845943097939119e-413j)  +/-  (1.02e-23, 1.34e-78j)
| (0.036924720417782447632 - 1.4539280845624130597e-412j)  +/-  (2.66e-22, 3.51e-77j)
| (0.074177024734917110998 + 5.002093796281187706e-413j)  +/-  (2.4e-24, 3.17e-79j)
| (0.094801477158633590911 + 2.0537704247319116124e-413j)  +/-  (6.17e-27, 8.15e-82j)
| (0.074177024734917110998 + 6.4366753231661803924e-413j)  +/-  (1.52e-25, 2.01e-80j)
| (-0.09089227708706900161 + 4.9429880868869650074e-412j)  +/-  (2.59e-26, 3.42e-81j)
| (0.054914388856104646282 - 5.5580869899278470478e-413j)  +/-  (1.57e-27, 2.08e-82j)
| (0.1512698521203330805 - 3.453839294102920228e-412j)  +/-  (2.36e-26, 3.11e-81j)
| (0.090263155444959381481 + 3.1125727176911655248e-413j)  +/-  (1.94e-27, 2.56e-82j)
| (0.094801477158633590911 + 2.2551449740134797958e-413j)  +/-  (8.39e-29, 1.11e-83j)
| (0.1512698521203330805 - 4.3065142251574996226e-412j)  +/-  (3.21e-27, 4.25e-82j)
| (0.094034588170503815536 - 2.7241483945198150055e-413j)  +/-  (1.01e-28, 1.33e-83j)
| (0.092950999798970478703 - 2.1578884354579342686e-413j)  +/-  (6.06e-29, 8e-84j)
| (-0.09089227708706900161 + 3.986156715040480657e-412j)  +/-  (2.36e-27, 3.13e-82j)
| (0.082353919957849074996 + 4.2625956127535262783e-413j)  +/-  (1.75e-29, 2.34e-84j)
| (0.09680132969040136234 - 1.2423229810858413649e-412j)  +/-  (2.21e-29, 2.98e-84j)
| (0.092950999798970478703 - 2.4539533100024727723e-413j)  +/-  (3.67e-30, 4.99e-85j)
| (0.094034588170503815536 - 2.5700015662009227096e-413j)  +/-  (4.37e-30, 5.56e-85j)
