Starting with polynomial:
P : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Extension levels are: 10 15
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Trying to find an order 15 Kronrod extension for:
P1 : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Solvable: 1
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Ending with final polynomial:
P : t^25 - 102338125/485553*t^23 + 2983748425/161851*t^21 - 142150090075/161851*t^19 + 4072863798500/161851*t^17 - 73168703898990/161851*t^15 + 834094159761450/161851*t^13 - 5976170881139550/161851*t^11 + 26112076472356875/161851*t^9 - 65845826225053875/161851*t^7 + 87203047569162525/161851*t^5 - 50465513591868375/161851*t^3 + 340250598938250/7037*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:
| (6.583386564567339766 + 3.337270011982432105e-379j)  +/-  (2.05e-122, 2.05e-122j)
| (7.6780453883896200545 - 2.2033195039218293109e-381j)  +/-  (4.8e-123, 4.8e-123j)
| (-7.6780453883896200545 + 1.5300637727217140856e-380j)  +/-  (4.27e-123, 4.27e-123j)
| (-5.670815951694947414 - 2.031681183591899262e-379j)  +/-  (4.88e-122, 4.88e-122j)
| (-6.583386564567339766 + 1.803762471629490121e-384j)  +/-  (2.62e-122, 2.62e-122j)
| (-4.1425187922945649665 + 8.7478747252004443222e-388j)  +/-  (7.38e-122, 7.38e-122j)
| (4.1425187922945649665 + 1.2646896553288207651e-396j)  +/-  (6.79e-122, 6.79e-122j)
| (-4.8594628283323121502 - 8.9283505525491142072e-399j)  +/-  (7.62e-122, 7.62e-122j)
| (-3.0871920802194072114 + 4.8937334780162853019e-407j)  +/-  (3.04e-122, 3.04e-122j)
| (5.670815951694947414 + 1.2827410584788972937e-411j)  +/-  (4.56e-122, 4.56e-122j)
| (1.884479088459614462 + 8.9058186227411032862e-415j)  +/-  (1.57e-123, 1.57e-123j)
| (2.4843258416389545809 - 1.4175884164123804034e-414j)  +/-  (6.44e-123, 6.44e-123j)
| (-1.0354394891322383348 - 1.2434986108880529854e-415j)  +/-  (5.1e-125, 5.1e-125j)
| (-2.4843258416389545809 + 1.983264342461923002e-420j)  +/-  (6.95e-123, 6.95e-123j)
| (4.8594628283323121502 - 1.251504472715902206e-424j)  +/-  (8.29e-122, 8.29e-122j)
| (1.4659890943911581833 - 3.3402996992320269056e-430j)  +/-  (4.75e-124, 4.75e-124j)
| (1.0354394891322383348 - 8.149828347553047342e-432j)  +/-  (4.86e-125, 4.86e-125j)
| (-3.5818234835519269228 - 1.0382774999275401605e-433j)  +/-  (5.37e-122, 5.37e-122j)
| (-2.2211452744636557494e-445 + 6.6284019862543165267e-445j)  +/-  (1.75e-443, 1.75e-443j)
| (3.5818234835519269228 + 1.3224830691384240139e-439j)  +/-  (5.77e-122, 5.77e-122j)
| (-1.884479088459614462 + 7.9297922564237686651e-444j)  +/-  (1.67e-123, 1.67e-123j)
| (0.48493570751549765305 + 1.5728733131142146885e-447j)  +/-  (2.82e-126, 2.82e-126j)
| (3.0871920802194072114 + 4.2507722392469542208e-445j)  +/-  (3.22e-122, 3.22e-122j)
| (-1.4659890943911581833 - 2.6514866973539364492e-449j)  +/-  (4.42e-124, 4.42e-124j)
| (-0.48493570751549765305 + 8.8667996008287552226e-450j)  +/-  (2.82e-126, 2.82e-126j)
-------------------------------------------------
The weights are:
| (1.5167367527060523089e-10 - 1.9562227277901418753e-388j)  +/-  (5.44e-44, 1.92e-105j)
| (7.93125173101577536e-14 - 5.7853323611369336941e-391j)  +/-  (1.26e-45, 4.45e-107j)
| (7.93125173101577536e-14 + 9.5636897407785786267e-391j)  +/-  (5.16e-47, 1.82e-108j)
| (3.5510722299293785667e-08 - 2.8194483546245017994e-386j)  +/-  (2.13e-44, 7.49e-106j)
| (1.5167367527060523089e-10 - 2.1517530672262518631e-388j)  +/-  (9.4e-46, 3.31e-107j)
| (4.8958839504491990433e-05 - 1.4793023408528754792e-384j)  +/-  (1.26e-42, 4.44e-104j)
| (4.8958839504491990433e-05 + 1.3553908186221393696e-386j)  +/-  (2.82e-44, 9.93e-106j)
| (2.2834223828956607901e-06 + 1.9109124096118182805e-385j)  +/-  (1.1e-43, 3.87e-105j)
| (0.0018864828308216533891 - 2.0838224977013380385e-383j)  +/-  (2.12e-41, 7.46e-103j)
| (3.5510722299293785667e-08 + 1.4407296947425640073e-387j)  +/-  (7.72e-47, 2.72e-108j)
| (0.036587491318305690294 - 6.4288281800314488113e-383j)  +/-  (1.91e-40, 6.72e-102j)
| (0.011395524821362605112 + 1.1716650988670025536e-383j)  +/-  (3.62e-42, 1.27e-103j)
| (0.12463643043721541156 - 4.6616815050467307101e-382j)  +/-  (1.62e-38, 5.71e-100j)
| (0.011395524821362605112 + 5.7052802576154657351e-383j)  +/-  (1.95e-42, 6.86e-104j)
| (2.2834223828956607901e-06 - 9.0787091456695045374e-387j)  +/-  (3.23e-46, 1.14e-107j)
| (0.045993388407036084938 + 1.7166871265728753132e-382j)  +/-  (1.05e-40, 3.69e-102j)
| (0.12463643043721541156 - 2.6168214786486472623e-382j)  +/-  (3.2e-40, 1.13e-101j)
| (0.00031152632047451967497 + 7.4330136353450439271e-384j)  +/-  (4.36e-44, 1.54e-105j)
| (0.18072951052929297834 - 4.8644209134957470815e-382j)  +/-  (4.13e-41, 1.45e-102j)
| (0.00031152632047451967497 + 3.3667461656464580118e-385j)  +/-  (6.75e-45, 2.37e-106j)
| (0.036587491318305690294 - 1.9607720351377248151e-382j)  +/-  (3.12e-43, 1.12e-104j)
| (0.18877312267577487113 + 3.7064381687103800006e-382j)  +/-  (3.5e-42, 1.22e-103j)
| (0.0018864828308216533891 - 2.2582823935873783768e-384j)  +/-  (2.68e-44, 9.44e-106j)
| (0.045993388407036084938 + 3.9684582572207462063e-382j)  +/-  (4.24e-43, 1.57e-104j)
| (0.18877312267577487113 + 4.8336778541111211703e-382j)  +/-  (1.06e-42, 3.4e-104j)
