Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 5 10
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Trying to find an order 5 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : 16*t^9 - 168*t^7 + 432*t^5 - 270*t^3 + 45*t
Solvable: 1
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Ending with final polynomial:
P : 16*t^19 - 67019984688/68215861*t^17 + 230407678356/9745123*t^15 - 19675084514310/68215861*t^13 + 131441284093635/68215861*t^11 - 970062879190185/136431722*t^9 + 543834376395255/38980492*t^7 - 1045646903415015/77960984*t^5 + 216947331827325/38980492*t^3 - 239747148335475/311843936*t
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 1
  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
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The nodes are:
| (2.6384291054842239697 + 2.7736486389894579377e-436j)  +/-  (2.6e-123, 2.6e-123j)
| (-3.7718846754027442829 - 5.25507557049760824e-447j)  +/-  (1.58e-123, 1.58e-123j)
| (4.5682735480200510579 - 1.7925646668252952552e-446j)  +/-  (4.63e-124, 4.63e-124j)
| (-2.6384291054842239697 - 5.291569150848286075e-449j)  +/-  (2.82e-123, 2.82e-123j)
| (-1.1128991332067180798 + 5.145594829445574735e-448j)  +/-  (7.65e-125, 7.65e-125j)
| (2.1711784782454809446 - 2.8929985682011556953e-455j)  +/-  (1.25e-123, 1.25e-123j)
| (-3.1393517534352283061 - 2.1587438259857465407e-465j)  +/-  (3e-123, 3e-123j)
| (3.1393517534352283061 - 1.9198793446590261374e-470j)  +/-  (2.85e-123, 2.85e-123j)
| (3.7718846754027442829 - 8.9819679550197312645e-477j)  +/-  (1.58e-123, 1.58e-123j)
| (-4.5682735480200510579 - 6.4198040191326925384e-478j)  +/-  (3.68e-124, 3.68e-124j)
| (0.73395630342256598469 - 1.946093056920941774e-477j)  +/-  (2.18e-125, 2.18e-125j)
| (0.52464762327529031788 - 6.6573079794817719709e-480j)  +/-  (6.69e-126, 6.69e-126j)
| (-1.6506801238857845559 - 8.1192168263274313564e-480j)  +/-  (3.12e-124, 3.12e-124j)
| (-0.52464762327529031788 - 9.7554301895277655148e-481j)  +/-  (5.5e-126, 5.5e-126j)
| (-2.586454113650012759e-480 - 5.6508399656918757017e-481j)  +/-  (5.03e-479, 5.03e-479j)
| (1.1128991332067180798 + 1.0894032272167173305e-481j)  +/-  (8.07e-125, 8.07e-125j)
| (1.6506801238857845559 + 2.5601160550374034192e-493j)  +/-  (3.61e-124, 3.61e-124j)
| (-2.1711784782454809446 + 1.3296482905229959823e-496j)  +/-  (1.32e-123, 1.32e-123j)
| (-0.73395630342256598469 - 1.0418262877554929173e-504j)  +/-  (2.12e-125, 2.12e-125j)
-------------------------------------------------
The weights are:
| (0.00024409756828314798386 - 2.5498538878512466829e-439j)  +/-  (8.92e-51, 4.2e-112j)
| (2.6269870042079918018e-07 - 6.1754230565314090491e-443j)  +/-  (4.88e-54, 2.3e-115j)
| (4.5014149534841966772e-10 - 3.2670630906988607526e-444j)  +/-  (1.22e-55, 5.75e-117j)
| (0.00024409756828314798386 - 1.2830378626405487028e-440j)  +/-  (6.98e-52, 3.29e-113j)
| (0.086685768409641819651 + 1.5853834400877884767e-438j)  +/-  (2.38e-47, 1.12e-108j)
| (0.002506335323354266339 + 6.4351414744218694594e-439j)  +/-  (5.52e-51, 2.6e-112j)
| (1.6669721329231728817e-05 + 1.4413525857249077598e-441j)  +/-  (5.27e-53, 2.48e-114j)
| (1.6669721329231728817e-05 - 1.6624960789314892285e-440j)  +/-  (2.83e-53, 1.33e-114j)
| (2.6269870042079918018e-07 + 3.4925409137067070747e-442j)  +/-  (1.08e-54, 5.08e-116j)
| (4.5014149534841966772e-10 + 8.7486938922706541611e-445j)  +/-  (5.64e-57, 2.66e-118j)
| (0.034093121772176221711 - 1.1217899668422718433e-437j)  +/-  (3.17e-49, 1.51e-110j)
| (0.2052546869406181111 + 1.0915843474749531834e-437j)  +/-  (2.06e-49, 9.78e-111j)
| (0.019851601279214062947 - 2.7647763371724448006e-439j)  +/-  (1.54e-51, 7.32e-113j)
| (0.2052546869406181111 + 7.2947037896922099667e-438j)  +/-  (3.21e-50, 1.54e-111j)
| (0.30269491167308244479 - 5.087792905436955744e-438j)  +/-  (3.67e-50, 1.75e-111j)
| (0.086685768409641819651 + 3.8985098787987789113e-438j)  +/-  (5.75e-51, 2.72e-112j)
| (0.019851601279214062947 - 1.2005507397608723768e-438j)  +/-  (5.04e-52, 2.39e-113j)
| (0.002506335323354266339 + 6.2517031543242781854e-440j)  +/-  (3.28e-53, 1.43e-114j)
| (0.034093121772176221711 - 6.3350365470279316277e-438j)  +/-  (4.63e-51, 2.35e-112j)
