Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 10 18
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Trying to find an order 10 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 18 Kronrod extension for:
P2 : 4*t^12 - 8477/76*t^10 + 155745/152*t^8 - 563535/152*t^6 + 1500975/304*t^4 - 2132865/1216*t^2 + 110565/2432
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^30 - 464618060298268536335966586445135906597/755353863037880978343815641638803348*t^28 + 2689013561339001659670010100492528117988069/66471139947333526094255776464214694624*t^26 - 18126119742904992861155606131661140908665775/12085661808606095653501050266220853568*t^24 + 4626139847561917955504115562470385626001490925/132942279894667052188511552928429389248*t^22 - 141096801233457726833832326626737963682902554055/265884559789334104377023105856858778496*t^20 + 5785532123181821522983553381005568090890277273895/1063538239157336417508092423427435113984*t^18 - 80209415453304433252532377185263112648459781372335/2127076478314672835016184846854870227968*t^16 + 186703221951558124954181778344890941595922857010775/1063538239157336417508092423427435113984*t^14 - 17894575131714664227019713220208610113795574565575/33235569973666763047127888232107347312*t^12 + 1627485608481292279186219674333527670320398759751625/1546964711501580243648134434076269256704*t^10 - 3842818708316602397948655734485184850115028601096825/3093929423003160487296268868152538513408*t^8 + 2522153966038588395444331971006466288506839097044175/3093929423003160487296268868152538513408*t^6 - 1604946066155351300643462628219311554610840701516625/6187858846006320974592537736305077026816*t^4 + 770275830893755016484418219025941920934367496205875/24751435384025283898370150945220308107264*t^2 - 34004406526346698253109822054542197634570572324875/49502870768050567796740301890440616214528
-------------------------------------------------
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:
| (5.349820462657247332 + 1.7121201687096280111e-480j)  +/-  (1e-121, 1e-121j)
| (2.0436541275856649452 + 2.5512297099070931941e-483j)  +/-  (5.39e-122, 5.39e-122j)
| (3.6783246397895513046 + 5.3774184248690105833e-482j)  +/-  (6.07e-121, 6.07e-121j)
| (-6.0926680876275320529 + 9.3057768111165912094e-483j)  +/-  (1.59e-122, 1.59e-122j)
| (-4.7324278846835558323 - 1.9300667054771982948e-482j)  +/-  (2.86e-121, 2.86e-121j)
| (-2.7962452403682858841 + 6.8330980266801297197e-487j)  +/-  (3.18e-121, 3.18e-121j)
| (-5.349820462657247332 - 1.2293926595980363925e-490j)  +/-  (1.08e-121, 1.08e-121j)
| (-1.3532153932168790075 + 4.722910727937681729e-493j)  +/-  (2.96e-123, 2.96e-123j)
| (-2.4123811803743961539 - 3.1815242995874560064e-490j)  +/-  (1.49e-121, 1.49e-121j)
| (2.7962452403682858841 - 4.4687289182410686199e-491j)  +/-  (3.26e-121, 3.26e-121j)
| (4.7324278846835558323 - 4.1652949382698078365e-495j)  +/-  (3.14e-121, 3.14e-121j)
| (6.0926680876275320529 - 8.9840583772094739984e-497j)  +/-  (1.55e-122, 1.55e-122j)
| (-2.0436541275856649452 - 1.1437472290592644313e-494j)  +/-  (4.87e-122, 4.87e-122j)
| (-1.6854672240493843311 - 5.2326493277326034394e-498j)  +/-  (1.4e-122, 1.4e-122j)
| (-3.2162030206596962369 + 5.7008963072434571357e-497j)  +/-  (4.67e-121, 4.67e-121j)
| (1.0300390836962852562 - 5.9373052252806760147e-506j)  +/-  (5.54e-124, 5.54e-124j)
| (3.2162030206596962369 + 1.3041450805805083416e-505j)  +/-  (4.97e-121, 4.97e-121j)
| (4.1818149762423817221 - 4.5628909872614546628e-514j)  +/-  (4.55e-121, 4.55e-121j)
| (-1.0300390836962852562 + 1.4268641063883633877e-521j)  +/-  (5.66e-124, 5.66e-124j)
| (-4.1818149762423817221 + 1.1811245208749936244e-532j)  +/-  (5e-121, 5e-121j)
| (0.7071067811865475244 - 3.4756245828700239527e-542j)  +/-  (6.73e-125, 6.73e-125j)
| (1.3532153932168790075 - 9.124598580467785756e-540j)  +/-  (3.15e-123, 3.15e-123j)
| (0.16761481870756104368 - 2.7220856641880084858e-543j)  +/-  (6.63e-127, 6.63e-127j)
| (-0.16761481870756104368 - 5.5003386380952580065e-544j)  +/-  (6.63e-127, 6.63e-127j)
| (-0.44736953822058887588 + 3.615637085729090198e-543j)  +/-  (9.57e-126, 9.57e-126j)
| (1.6854672240493843311 + 2.2894598441884107247e-540j)  +/-  (1.4e-122, 1.4e-122j)
| (0.44736953822058887588 - 2.2328534470593493112e-542j)  +/-  (1e-125, 1e-125j)
| (2.4123811803743961539 + 2.2626157142930885912e-540j)  +/-  (1.39e-121, 1.39e-121j)
| (-3.6783246397895513046 - 3.0410166761726913017e-544j)  +/-  (5.7e-121, 5.7e-121j)
| (-0.7071067811865475244 - 4.1497848261609678941e-552j)  +/-  (7.27e-125, 7.27e-125j)
-------------------------------------------------
The weights are:
| (1.3924816434138822171e-13 - 2.199252918422534082e-492j)  +/-  (2.81e-42, 1.38e-102j)
| (0.0031670270909117917567 - 6.0070089045704165235e-485j)  +/-  (9.53e-31, 4.66e-91j)
| (3.6224641616438135598e-07 - 1.0346619320170945082e-487j)  +/-  (1.01e-37, 4.96e-98j)
| (3.6513722989385231412e-17 + 8.1902807017471221213e-496j)  +/-  (1.88e-45, 9.18e-106j)
| (6.1333776786837971593e-11 - 1.8606777623664125928e-492j)  +/-  (9.04e-43, 4.42e-103j)
| (9.0570656232708093184e-05 + 2.7850956808941144003e-487j)  +/-  (1.19e-37, 5.84e-98j)
| (1.3924816434138822171e-13 - 1.4751887707828594985e-493j)  +/-  (3.75e-44, 1.84e-104j)
| (0.029033494178686364753 + 1.2282781733922544598e-484j)  +/-  (2.12e-31, 1.04e-91j)
| (0.00062432675116231279558 - 1.7969173957954357018e-486j)  +/-  (2.07e-36, 1.01e-96j)
| (9.0570656232708093184e-05 - 1.6168158878458386678e-486j)  +/-  (8.17e-39, 4e-99j)
| (6.1333776786837971593e-11 + 6.448871089599380414e-491j)  +/-  (1.84e-44, 8.98e-105j)
| (3.6513722989385231412e-17 + 8.7224101254598001602e-496j)  +/-  (6.36e-48, 3.11e-108j)
| (0.0031670270909117917567 + 8.9452792072424196348e-486j)  +/-  (6.02e-37, 2.94e-97j)
| (0.011422717277393657215 - 3.7443238006675088303e-485j)  +/-  (6.86e-36, 3.35e-96j)
| (8.0131351369067825105e-06 - 2.9768050257420276112e-488j)  +/-  (3.35e-41, 1.64e-101j)
| (0.064219849179770029121 + 7.0687596285274691464e-484j)  +/-  (1.82e-35, 8.89e-96j)
| (8.0131351369067825105e-06 + 4.428625275326371039e-487j)  +/-  (1.66e-41, 8.09e-102j)
| (7.533864266135794518e-09 - 2.6491889736750056397e-489j)  +/-  (1.06e-43, 5.18e-104j)
| (0.064219849179770029121 - 3.2798906569895351251e-484j)  +/-  (3.06e-36, 1.49e-96j)
| (7.533864266135794518e-09 - 9.2928064639143828296e-491j)  +/-  (2.28e-44, 1.11e-104j)
| (0.10304575098760217299 - 1.3765167462849447893e-483j)  +/-  (1.86e-36, 9.08e-97j)
| (0.029033494178686364753 - 3.6057906570498301687e-484j)  +/-  (4.68e-38, 2.29e-98j)
| (0.17814441692646771175 - 1.7544514664276462673e-483j)  +/-  (1.21e-36, 5.93e-97j)
| (0.17814441692646771175 + 1.560514969441458912e-483j)  +/-  (7.2e-37, 3.51e-97j)
| (0.11024346397488285276 - 1.3864670775982073154e-483j)  +/-  (3.46e-37, 1.69e-97j)
| (0.011422717277393657215 + 1.7440266396069667192e-484j)  +/-  (1.62e-39, 7.9e-100j)
| (0.11024346397488285276 + 1.9010409389237723897e-483j)  +/-  (7.06e-38, 3.52e-98j)
| (0.00062432675116231279558 + 3.3041927483318140645e-486j)  +/-  (4.84e-41, 2.35e-101j)
| (3.6224641616438135598e-07 + 2.1692712960405523602e-489j)  +/-  (2.38e-44, 1.19e-104j)
| (0.10304575098760217299 + 8.2843103228790760885e-484j)  +/-  (2.24e-38, 1.07e-98j)
