Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 10 18
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Trying to find an order 10 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P2 : t^12 - 8477/152*t^10 + 155745/152*t^8 - 563535/76*t^6 + 1500975/76*t^4 - 2132865/152*t^2 + 110565/152
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^30 - 464618060298268536335966586445135906597/1510707726075761956687631283277606696*t^28 + 2689013561339001659670010100492528117988069/66471139947333526094255776464214694624*t^26 - 18126119742904992861155606131661140908665775/6042830904303047826750525133110426784*t^24 + 4626139847561917955504115562470385626001490925/33235569973666763047127888232107347312*t^22 - 141096801233457726833832326626737963682902554055/33235569973666763047127888232107347312*t^20 + 5785532123181821522983553381005568090890277273895/66471139947333526094255776464214694624*t^18 - 80209415453304433252532377185263112648459781372335/66471139947333526094255776464214694624*t^16 + 186703221951558124954181778344890941595922857010775/16617784986833381523563944116053673656*t^14 - 143156601053717313816157705761668880910364596524600/2077223123354172690445493014506709207*t^12 + 1627485608481292279186219674333527670320398759751625/6042830904303047826750525133110426784*t^10 - 3842818708316602397948655734485184850115028601096825/6042830904303047826750525133110426784*t^8 + 2522153966038588395444331971006466288506839097044175/3021415452151523913375262566555213392*t^6 - 1604946066155351300643462628219311554610840701516625/3021415452151523913375262566555213392*t^4 + 770275830893755016484418219025941920934367496205875/6042830904303047826750525133110426784*t^2 - 34004406526346698253109822054542197634570572324875/6042830904303047826750525133110426784
-------------------------------------------------
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:
| (4.5483979311622580279 - 8.786802420363830153e-347j)  +/-  (7.01e-121, 7.01e-121j)
| (-3.9544879426500450264 - 1.7651366270166369245e-359j)  +/-  (4.01e-121, 4.01e-121j)
| (7.5657886545509852611 + 6.8501983754585450047e-359j)  +/-  (1.45e-121, 1.45e-121j)
| (-8.6163338405606045312 + 7.2005381229934758625e-370j)  +/-  (2.23e-122, 2.23e-122j)
| (1.9137355618993510628 - 6.4527639291877684162e-368j)  +/-  (4.38e-123, 4.38e-123j)
| (3.9544879426500450264 - 6.0542803087959415775e-373j)  +/-  (4e-121, 4e-121j)
| (-6.692663697472102149 - 1.1118442917924040112e-381j)  +/-  (3.93e-121, 3.93e-121j)
| (-5.9139794547368984932 + 4.5786592484172695215e-382j)  +/-  (6.8e-121, 6.8e-121j)
| (8.6163338405606045312 - 7.6528169582842187604e-383j)  +/-  (2.31e-122, 2.31e-122j)
| (-7.5657886545509852611 - 1.3767294004226582734e-383j)  +/-  (1.44e-121, 1.44e-121j)
| (5.2019365924015129919 - 2.2722933391249464929e-381j)  +/-  (7.86e-121, 7.86e-121j)
| (-3.4116221828990867526 - 3.0581367859386700456e-389j)  +/-  (2.01e-121, 2.01e-121j)
| (2.383610607185971355 - 2.7857678991610611554e-388j)  +/-  (2.06e-122, 2.06e-122j)
| (-1.9137355618993510628 + 1.8203168041713276478e-396j)  +/-  (4.05e-123, 4.05e-123j)
| (-2.8901633840314029187 - 1.1605789009765156819e-397j)  +/-  (7.28e-122, 7.28e-122j)
| (-0.23704314987094039888 - 1.5931334843051747031e-395j)  +/-  (1.14e-126, 1.14e-126j)
| (1 - 9.2649696358426409542e-395j)  +/-  (9.92e-125, 9.92e-125j)
| (3.4116221828990867526 - 2.1356567686525265191e-400j)  +/-  (2.08e-121, 2.08e-121j)
| (-1 + 1.7829401511352035901e-414j)  +/-  (9.21e-125, 9.21e-125j)
| (-4.5483979311622580279 + 4.4554259157021107979e-414j)  +/-  (6.55e-121, 6.55e-121j)
| (2.8901633840314029187 - 2.1482918858580267767e-414j)  +/-  (7.45e-122, 7.45e-122j)
| (0.6326760683441454956 + 1.7960450638352631471e-422j)  +/-  (1.3e-125, 1.3e-125j)
| (5.9139794547368984932 + 3.6618046957504335763e-426j)  +/-  (6.49e-121, 6.49e-121j)
| (-1.4566952419376421806 + 1.7389733968150040766e-439j)  +/-  (8.43e-124, 8.43e-124j)
| (-2.383610607185971355 - 1.9647827889152888019e-440j)  +/-  (1.99e-122, 1.99e-122j)
| (6.692663697472102149 + 1.1036826492616198995e-443j)  +/-  (4.22e-121, 4.22e-121j)
| (0.23704314987094039888 + 2.6528231321812317801e-451j)  +/-  (9.88e-127, 9.88e-127j)
| (1.4566952419376421806 + 2.020884573134876852e-455j)  +/-  (7.2e-124, 7.2e-124j)
| (-5.2019365924015129919 + 1.0630883247252781696e-459j)  +/-  (7.89e-121, 7.89e-121j)
| (-0.6326760683441454956 - 5.6248381064933948104e-462j)  +/-  (1.3e-125, 1.3e-125j)
-------------------------------------------------
The weights are:
| (8.0131351369067825105e-06 + 2.6583263646539593449e-351j)  +/-  (1.34e-39, 3.35e-99j)
| (9.0570656232708093184e-05 + 6.9686823702099399066e-352j)  +/-  (1.99e-38, 4.99e-98j)
| (1.3924816434138822171e-13 - 9.8922974425142118301e-358j)  +/-  (1.99e-46, 4.98e-106j)
| (3.6513722989385231412e-17 + 1.5895922141310740819e-360j)  +/-  (1.62e-48, 4.07e-108j)
| (0.029033494178686364753 - 7.0986783906567191768e-349j)  +/-  (2.17e-31, 5.44e-91j)
| (9.0570656232708093184e-05 - 9.9769177200837068696e-351j)  +/-  (8.77e-39, 2.2e-98j)
| (6.1333776786837971593e-11 + 1.2459208227318111888e-356j)  +/-  (8.51e-46, 2.13e-105j)
| (7.533864266135794518e-09 - 3.3990148415349788104e-355j)  +/-  (1.13e-44, 2.82e-104j)
| (3.6513722989385231412e-17 + 5.144268639309852952e-360j)  +/-  (6.41e-50, 1.61e-109j)
| (1.3924816434138822171e-13 - 2.4639645695460865571e-358j)  +/-  (2.1e-47, 5.25e-107j)
| (3.6224641616438135598e-07 + 9.0787241834610598903e-353j)  +/-  (7.1e-44, 1.78e-103j)
| (0.00062432675116231279558 - 4.3998318605592118067e-351j)  +/-  (1.07e-40, 2.69e-100j)
| (0.011422717277393657215 + 2.8540480970581919333e-349j)  +/-  (4.33e-38, 1.08e-97j)
| (0.029033494178686364753 + 2.894186702801838437e-349j)  +/-  (1.15e-37, 2.89e-97j)
| (0.0031670270909117917567 + 2.1561494225828613926e-350j)  +/-  (5.38e-40, 1.35e-99j)
| (0.17814441692646771175 + 3.5512535580339815412e-348j)  +/-  (1.08e-36, 2.7e-96j)
| (0.10304575098760217299 - 2.9970517865012546677e-348j)  +/-  (4.52e-37, 1.13e-96j)
| (0.00062432675116231279558 + 3.0808847006268486337e-350j)  +/-  (2.85e-41, 7.15e-101j)
| (0.10304575098760217299 + 1.9167212753567117964e-348j)  +/-  (1.85e-37, 4.64e-97j)
| (8.0131351369067825105e-06 - 7.7400698313542075766e-353j)  +/-  (1.01e-43, 2.53e-103j)
| (0.0031670270909117917567 - 9.6721237127654587787e-350j)  +/-  (1.83e-40, 4.6e-100j)
| (0.11024346397488285276 + 4.2123409781251800422e-348j)  +/-  (2.52e-37, 6.31e-97j)
| (7.533864266135794518e-09 - 2.6041488844453964208e-354j)  +/-  (8.63e-47, 2.16e-106j)
| (0.064219849179770029121 - 7.6576585239136359072e-349j)  +/-  (2.19e-39, 5.42e-99j)
| (0.011422717277393657215 - 8.9128671846610645716e-350j)  +/-  (4.8e-41, 1.19e-100j)
| (6.1333776786837971593e-11 + 6.5315936917722226345e-356j)  +/-  (1.94e-48, 4.89e-108j)
| (0.17814441692646771175 - 3.9417574122007782478e-348j)  +/-  (1.46e-39, 3.83e-99j)
| (0.064219849179770029121 + 1.4873665920133996357e-348j)  +/-  (2.21e-40, 5.61e-100j)
| (3.6224641616438135598e-07 + 6.0852242908106224728e-354j)  +/-  (4.41e-46, 1.04e-105j)
| (0.11024346397488285276 - 3.183578474898767615e-348j)  +/-  (6.28e-40, 1.69e-99j)
