Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 11 26
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Trying to find an order 11 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : 16*t^15 - 2564/3*t^13 + 116464/7*t^11 - 1045605/7*t^9 + 4515555/7*t^7 - 5082165/4*t^5 + 1931985/2*t^3 - 2916045/16*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 16*t^41 - 326261234797938476342113382602835674723427744563928078339914964/66475326644627431323131320715750426147884684604002742613903*t^39 + 1990989488701970246438768156314136542217073245311993205327502501616/2947072814578482788658821885064935559222887684110788255883033*t^37 - 23295922296700774368241548116711123022534294088252858783462690584585/421010402082640398379831697866419365603269669158684036554719*t^35 + 151060574776309772365769233588648365756616585625514070934173478559894240/50100237847834207407199972046103904506789090629883400350011561*t^33 - 11602098522581959730682495029168914211170751182098587575278402893503734345/100200475695668414814399944092207809013578181259766800700023122*t^31 + 162255212109219203949495352529613415062962184634052823726021081011595809355/50100237847834207407199972046103904506789090629883400350011561*t^29 - 26954513112757326021841275322456041263574699799636818690186467780707524110685/400801902782673659257599776368831236054312725039067202800092488*t^27 + 52476528000110121673312886850469327430620053276492889759187128702434009595125/50100237847834207407199972046103904506789090629883400350011561*t^25 - 2460959135326000120677411991795544220428936726923207357865900195793587470807125/200400951391336829628799888184415618027156362519533601400046244*t^23 + 43359582555511696891086601910848632225303231594184399235022653822342998842115875/400801902782673659257599776368831236054312725039067202800092488*t^21 - 2143330912092972159216494963690774376140793125043029297923741747340226553330875/3013548141223110219981953205780685985370772368714790998496936*t^19 + 9779309042598272687522316504536443497769043898992274770418835219822145119801125/2836280603504103736453603017205351515643079876437450351526528*t^17 - 137352796435956291832111593775508664966284005869180708309440798223134602955431875/11345122414016414945814412068821406062572319505749801406106112*t^15 + 8963509515244546877346295942759056035856424146003287772301798961491396524335625/298555853000431972258274001811089633225587355414468458055424*t^13 - 2303331797050782858212793939778490233867467902210925633544315678188313305524199375/45380489656065659783257648275285624250289278022999205624424448*t^11 + 5046687050932010287900564880071772352558612029946329759747119438006998984060511875/90760979312131319566515296550571248500578556045998411248848896*t^9 - 13253860512262349030574541077921420945120111259887550351661271735986697871392605625/363043917248525278266061186202284994002314224183993644995395584*t^7 + 1134279330621680422861084746390482692606367964339691075373016002724549748019803125/90760979312131319566515296550571248500578556045998411248848896*t^5 - 2329284645744138046761340249564982729481691704347195340502901540001631536171928125/1452175668994101113064244744809139976009256896735974579981582336*t^3 + 3838903059160173952235662547247281780300072217321120445880934848899007864109375/726087834497050556532122372404569988004628448367987289990791168*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:
| (-5.594208552228177722 - 1.7284668264906329355e-458j)  +/-  (1.12e-118, 1.12e-118j)
| (7.4047742534582876392 - 7.0697292605321501461e-462j)  +/-  (7.99e-121, 7.99e-121j)
| (-7.4047742534582876392 - 3.6365688679245808762e-461j)  +/-  (7.81e-121, 7.81e-121j)
| (-6.7009383363327546589 + 1.4718221205840231445e-459j)  +/-  (7.89e-120, 7.89e-120j)
| (-4.6758378429530981643 - 4.4021308219175625052e-457j)  +/-  (4.51e-118, 4.51e-118j)
| (-6.1163303568920039986 - 8.1276744614782455236e-464j)  +/-  (3.54e-119, 3.54e-119j)
| (5.594208552228177722 - 6.5576673982760532477e-461j)  +/-  (1.16e-118, 1.16e-118j)
| (6.7009383363327546589 - 1.4287003759662035008e-462j)  +/-  (8.22e-120, 8.22e-120j)
| (-5.1150687952207143537 + 5.9618594833369845276e-461j)  +/-  (2.26e-118, 2.26e-118j)
| (4.0216252364152223349 - 5.7485241886379006748e-460j)  +/-  (5.37e-118, 5.37e-118j)
| (-3.3149151560242799149 - 1.1587496308936395156e-468j)  +/-  (8.92e-119, 8.92e-119j)
| (6.1163303568920039986 - 4.4383496452934500071e-471j)  +/-  (4.09e-119, 4.09e-119j)
| (2.2679277353884325143 + 4.1456904137219127448e-472j)  +/-  (3.17e-120, 3.17e-120j)
| (-2.9368597740916132369 + 4.0551029389688256593e-469j)  +/-  (2.89e-119, 2.89e-119j)
| (0.88237298730173481015 + 1.0928112291204839317e-474j)  +/-  (8.63e-124, 8.63e-124j)
| (2.5801888718985140515 + 7.2613169506503858618e-471j)  +/-  (9.82e-120, 9.82e-120j)
| (-4.0216252364152223349 - 3.4324389100821655188e-468j)  +/-  (5.72e-118, 5.72e-118j)
| (4.6758378429530981643 + 7.7433304673417465328e-469j)  +/-  (4.43e-118, 4.43e-118j)
| (-0.88237298730173481015 + 2.2610767871043605186e-484j)  +/-  (8.22e-124, 8.22e-124j)
| (-3.6927320602322334284 + 3.5013496939140873306e-479j)  +/-  (2.5e-118, 2.5e-118j)
| (1.3055623875971252779 + 1.2361217519088186388e-482j)  +/-  (1.96e-122, 1.96e-122j)
| (2.9368597740916132369 - 4.0709118501970788114e-478j)  +/-  (2.98e-119, 2.98e-119j)
| (5.1150687952207143537 - 3.1788121985635605384e-477j)  +/-  (2.47e-118, 2.47e-118j)
| (-1.071585516319553479 - 8.9018000542527943053e-488j)  +/-  (5.39e-123, 5.39e-123j)
| (-1.9771147972551874224 - 3.7428144151524993245e-485j)  +/-  (8.08e-121, 8.08e-121j)
| (-4.303120294024451926 + 1.4042751190334811062e-481j)  +/-  (5.73e-118, 5.73e-118j)
| (-6.1473875867488625416e-504 + 4.6818719823798103675e-504j)  +/-  (3.17e-502, 3.17e-502j)
| (4.303120294024451926 + 6.3702472236298928404e-488j)  +/-  (5.64e-118, 5.64e-118j)
| (-2.5801888718985140515 + 9.9334517470164107959e-502j)  +/-  (9.65e-120, 9.65e-120j)
| (-1.3055623875971252779 - 1.2074398222193333735e-506j)  +/-  (2.13e-122, 2.13e-122j)
| (3.6927320602322334284 + 5.0133646253674590718e-506j)  +/-  (2.38e-118, 2.38e-118j)
| (1.071585516319553479 - 6.1745358950338718226e-523j)  +/-  (5.6e-123, 5.6e-123j)
| (0.52464762327529031788 - 1.8182817162958741454e-525j)  +/-  (2.17e-125, 2.17e-125j)
| (-2.2679277353884325143 - 1.5164145346496525254e-520j)  +/-  (3.48e-120, 3.48e-120j)
| (-1.6506801238857845559 - 4.482168122773550801e-522j)  +/-  (1.13e-121, 1.13e-121j)
| (-0.52464762327529031788 - 1.0560532945081450367e-525j)  +/-  (1.9e-125, 1.9e-125j)
| (3.3149151560242799149 - 4.4312264562302668894e-523j)  +/-  (8.38e-119, 8.38e-119j)
| (1.9771147972551874224 + 1.6790171133374855691e-526j)  +/-  (8e-121, 8e-121j)
| (1.6506801238857845559 + 1.0972013969786790551e-528j)  +/-  (1.21e-121, 1.21e-121j)
| (0.058177176762076395132 - 1.5615655088260123065e-533j)  +/-  (2.78e-127, 2.78e-127j)
| (-0.058177176762076395132 + 1.7388255106635467755e-533j)  +/-  (2.78e-127, 2.78e-127j)
-------------------------------------------------
The weights are:
| (7.2119197096915811912e-15 + 4.8654501069377816727e-470j)  +/-  (1.13e-26, 4.56e-85j)
| (7.0469926265505642987e-25 + 3.2792045603233838274e-477j)  +/-  (1.37e-32, 5.53e-91j)
| (7.0469926265505642987e-25 - 1.4371831711093985995e-476j)  +/-  (5.08e-32, 2.05e-90j)
| (1.1192090918693288516e-20 + 5.5784581403844422988e-474j)  +/-  (2.72e-30, 1.1e-88j)
| (7.4821438074125983266e-11 - 2.440937867608219822e-466j)  +/-  (1.22e-25, 4.94e-84j)
| (1.753149077662454026e-17 - 6.8717935527237150657e-472j)  +/-  (7.46e-29, 3.02e-87j)
| (7.2119197096915811912e-15 - 4.5394568767419046888e-471j)  +/-  (1.85e-31, 7.5e-90j)
| (1.1192090918693288516e-20 - 1.0045985965499093432e-474j)  +/-  (2.83e-34, 1.14e-92j)
| (1.125796744772847285e-12 - 3.2080893400391611837e-468j)  +/-  (7.4e-28, 3e-86j)
| (1.5104676003528410374e-08 - 2.4682898799643191153e-466j)  +/-  (4.44e-28, 1.8e-86j)
| (3.6423071125325777697e-06 - 3.6151421800068643104e-464j)  +/-  (2.18e-24, 8.8e-83j)
| (1.753149077662454026e-17 + 9.2873621485060526028e-473j)  +/-  (5.12e-33, 2.07e-91j)
| (0.00095338511449799013315 + 7.714187133958321328e-463j)  +/-  (7.33e-22, 2.97e-80j)
| (3.7569940671571502991e-05 + 1.5057556915627723447e-463j)  +/-  (8.38e-24, 3.39e-82j)
| (0.082926008167029845509 - 7.7556661905333446519e-461j)  +/-  (4.62e-19, 1.87e-77j)
| (0.00024483564172599308379 - 1.8583421083841345595e-463j)  +/-  (1.32e-23, 5.36e-82j)
| (1.5104676003528410374e-08 - 3.8013578732178817263e-465j)  +/-  (4.45e-27, 1.8e-85j)
| (7.4821438074125983266e-11 - 3.7065914121452060999e-468j)  +/-  (7.64e-31, 3.09e-89j)
| (0.082926008167029845509 - 1.1401794495621026856e-460j)  +/-  (1.39e-19, 5.64e-78j)
| (2.470174584759377812e-07 + 1.0489986934154770525e-464j)  +/-  (2.04e-26, 8.26e-85j)
| (0.03439633600094567917 - 2.5760958346736135571e-461j)  +/-  (2.49e-19, 1.01e-77j)
| (3.7569940671571502991e-05 + 3.3605113995927010137e-464j)  +/-  (2.62e-26, 1.06e-84j)
| (1.125796744772847285e-12 + 1.4912991964888550669e-469j)  +/-  (4.63e-32, 1.87e-90j)
| (0.019867670444707179534 + 1.085932180200800293e-460j)  +/-  (7.11e-20, 2.88e-78j)
| (0.0034568782279986214419 - 5.5363995167718847233e-462j)  +/-  (2.1e-24, 8.48e-83j)
| (1.6309625331511297196e-09 + 1.2688430706678742276e-465j)  +/-  (7.52e-29, 3.04e-87j)
| (-2.2475588548453805952 + 3.6488435606954179866e-459j)  +/-  (1.72e-21, 6.98e-80j)
| (1.6309625331511297196e-09 + 5.8631774341798901276e-467j)  +/-  (2.81e-30, 1.14e-88j)
| (0.00024483564172599308379 - 6.5387207130059094346e-463j)  +/-  (4.48e-26, 1.81e-84j)
| (0.03439633600094567917 - 4.5961528883989801141e-461j)  +/-  (1.65e-23, 6.67e-82j)
| (2.470174584759377812e-07 + 1.1246584449975144821e-465j)  +/-  (1.84e-29, 7.43e-88j)
| (0.019867670444707179534 + 6.781609057681886066e-461j)  +/-  (1.42e-23, 5.76e-82j)
| (0.16206389477953789319 + 7.6677959326942828472e-461j)  +/-  (3.2e-23, 1.29e-81j)
| (0.00095338511449799013315 + 2.2517396083728721491e-462j)  +/-  (6.5e-26, 2.63e-84j)
| (0.012678490771994217168 + 1.3206465584305138811e-461j)  +/-  (6.28e-25, 2.54e-83j)
| (0.16206389477953789319 + 9.6245147277727444692e-461j)  +/-  (2.96e-24, 1.2e-82j)
| (3.6423071125325777697e-06 - 5.9228714454878423873e-465j)  +/-  (1.19e-29, 4.81e-88j)
| (0.0034568782279986214419 - 2.2245934319081655609e-462j)  +/-  (1.06e-27, 4.27e-86j)
| (0.012678490771994217168 + 6.269621097344771507e-462j)  +/-  (2.95e-27, 1.19e-85j)
| (1.3071504521974172974 - 1.8509450327567455894e-459j)  +/-  (8.25e-26, 3.24e-84j)
| (1.3071504521974172974 - 1.8979831443280287717e-459j)  +/-  (5.93e-26, 2.48e-84j)
