Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 3 14
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Trying to find an order 3 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : t^5 - 7*t^3 + 6*t
Solvable: 1
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Ending with final polynomial:
P : t^19 - 29110357381/203985108*t^17 + 1619951720893/203985108*t^15 - 15088279415755/67995036*t^13 + 227384524996265/67995036*t^11 - 1848310702373135/67995036*t^9 + 851785811281405/7555004*t^7 - 1578667637211665/7555004*t^5 + 958190018560775/7555004*t^3 - 24793868073975/3777502*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: 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
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The nodes are:
| (3.2134864067400547744 + 2.226525804220732061e-377j)  +/-  (1.21e-123, 1.21e-123j)
| (-6.9614988068808950658 - 3.0791038412441684893e-378j)  +/-  (6.27e-124, 6.27e-124j)
| (6.9614988068808950658 - 1.4027387094704992358e-386j)  +/-  (6.88e-124, 6.88e-124j)
| (-3.2134864067400547744 - 2.7084396744123937027e-402j)  +/-  (1.11e-123, 1.11e-123j)
| (-4.0174147729926436159 - 6.7867871874007419024e-438j)  +/-  (2.38e-123, 2.38e-123j)
| (-5.8295983364865117304 - 3.4224952519752030016e-467j)  +/-  (2.19e-123, 2.19e-123j)
| (-4.8781936342536175142 + 6.9405528185581184769e-483j)  +/-  (3.14e-123, 3.14e-123j)
| (4.0174147729926436159 - 1.1337178305869107384e-489j)  +/-  (2.4e-123, 2.4e-123j)
| (5.8295983364865117304 + 3.4365003525296081851e-491j)  +/-  (2.34e-123, 2.34e-123j)
| (-2.4494897427831780982 - 1.7699613244266781967e-489j)  +/-  (3.61e-124, 3.61e-124j)
| (0.23859863818583152412 + 6.585816650243008269e-497j)  +/-  (3.86e-127, 3.86e-127j)
| (-0.23859863818583152412 + 4.0950670356013397388e-495j)  +/-  (3.86e-127, 3.86e-127j)
| (1.7151521244991554752 - 7.1289124308791615575e-496j)  +/-  (6.42e-125, 6.42e-125j)
| (-1.7151521244991554752 + 2.581889826104747128e-495j)  +/-  (6.74e-125, 6.74e-125j)
| (4.8781936342536175142 - 3.121240118598582118e-498j)  +/-  (3.39e-123, 3.39e-123j)
| (2.4494897427831780982 - 5.4329085814356569991e-498j)  +/-  (3.21e-124, 3.21e-124j)
| (1 + 9.1442581599567835488e-502j)  +/-  (7.02e-126, 7.02e-126j)
| (1.8517122773912486686e-500 + 3.7053296085658216672e-501j)  +/-  (3.59e-499, 3.59e-499j)
| (-1 + 2.3039244192078614801e-502j)  +/-  (7.02e-126, 7.02e-126j)
-------------------------------------------------
The weights are:
| (0.0017852250535035031038 - 8.4052474029309383868e-380j)  +/-  (4.96e-45, 2.82e-107j)
| (1.5505802101946287274e-11 - 9.2236277121066736356e-386j)  +/-  (1.95e-51, 1.11e-113j)
| (1.5505802101946287274e-11 + 2.4991036003157866384e-385j)  +/-  (1.3e-51, 7.39e-114j)
| (0.0017852250535035031038 - 6.185177971443568178e-381j)  +/-  (2.97e-46, 1.69e-108j)
| (0.00010341896907416389361 + 9.090461038260488579e-382j)  +/-  (7.15e-48, 4.07e-110j)
| (1.6933473169892204711e-08 + 4.7720771309696752244e-384j)  +/-  (8.12e-51, 4.62e-113j)
| (2.4369024083912168712e-06 - 8.8538820364237548159e-383j)  +/-  (1.64e-49, 9.34e-112j)
| (0.00010341896907416389361 - 8.1753244334333002866e-381j)  +/-  (1.43e-50, 8.16e-113j)
| (1.6933473169892204711e-08 - 1.6488698858551105706e-383j)  +/-  (3.56e-53, 2.03e-115j)
| (0.014851220416423478056 + 3.097918714212772606e-380j)  +/-  (2.06e-48, 1.17e-110j)
| (0.4152773822802313395 - 5.0327623077522693993e-378j)  +/-  (9.27e-47, 5.32e-109j)
| (0.4152773822802313395 - 4.3370830626077140196e-378j)  +/-  (4.83e-47, 2.75e-109j)
| (0.066212233331964417231 - 4.0916619764890126871e-379j)  +/-  (2.23e-48, 1.27e-110j)
| (0.066212233331964417231 - 1.2439372401166342409e-379j)  +/-  (4.95e-48, 2.81e-110j)
| (2.4369024083912168712e-06 + 4.3027437657008699342e-382j)  +/-  (3.5e-52, 1.99e-114j)
| (0.014851220416423478056 + 2.2961343890232060312e-379j)  +/-  (1.19e-49, 6.76e-112j)
| (0.17230876937658613882 + 8.6889889100031276229e-379j)  +/-  (3.77e-48, 2.14e-110j)
| (-0.34108140655834080762 + 8.4146156831843337909e-378j)  +/-  (3.18e-47, 1.86e-109j)
| (0.17230876937658613882 + 4.5647184551325225434e-379j)  +/-  (1.13e-48, 5.64e-111j)
