Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4 11
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Trying to find an order 11 Kronrod extension for:
P1 : 35/8*t^4 - 15/4*t^2 + 3/8
Solvable: 1
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Ending with final polynomial:
P : 35/8*t^15 - 638415/40664*t^13 + 11181153/503608*t^11 - 55088825/3525256*t^9 + 19993545/3525256*t^7 - 160318323/162665384*t^5 + 10517265/162665384*t^3 - 64053/91941304*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:
| (0.99440647375811783848 - 1.697071840221958035e-401j)  +/-  (1.35e-123, 1.35e-123j)
| (-0.99440647375811783848 + 1.0574030797124611588e-408j)  +/-  (1.35e-123, 1.35e-123j)
| (-0.95275482203958774276 - 1.352023021769749955e-409j)  +/-  (2.28e-123, 2.28e-123j)
| (0.54633537010580514983 + 1.2612155053822294356e-410j)  +/-  (4.7e-125, 4.7e-125j)
| (0.86113631159405257522 + 3.8859331590251655795e-415j)  +/-  (1.1e-123, 1.1e-123j)
| (0.72322064929065662618 - 4.5529808545271224953e-423j)  +/-  (3.19e-124, 3.19e-124j)
| (-0.11513928820520961921 - 7.5827866702698563845e-426j)  +/-  (2.95e-127, 2.95e-127j)
| (-0.86113631159405257522 + 2.3877127548928796932e-430j)  +/-  (1.12e-123, 1.12e-123j)
| (-0.3399810435848562648 + 6.245394045011662193e-433j)  +/-  (3.99e-126, 3.99e-126j)
| (0.3399810435848562648 - 1.6435247486872795245e-434j)  +/-  (4.33e-126, 4.33e-126j)
| (0.95275482203958774276 - 1.9855613857481060542e-439j)  +/-  (2.23e-123, 2.23e-123j)
| (0.11513928820520961921 + 9.8562068513030651779e-453j)  +/-  (2.95e-127, 2.95e-127j)
| (-0.54633537010580514983 - 1.5134967397815755939e-459j)  +/-  (4.38e-125, 4.38e-125j)
| (-0.72322064929065662618 - 6.7548297134234587826e-462j)  +/-  (2.92e-124, 2.92e-124j)
| (1.8355192773726472756e-523 - 2.0009177177512814258e-522j)  +/-  (3.01e-521, 3.01e-521j)
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The weights are:
| (0.018128606583013034437 + 1.4010543614003573616e-401j)  +/-  (2e-48, 1.96e-108j)
| (0.018128606583013034437 + 1.5469380989486461421e-403j)  +/-  (8.41e-49, 8.24e-109j)
| (0.066730070241134747424 - 4.2249327776095034997e-403j)  +/-  (7.88e-49, 7.72e-109j)
| (0.19335402460080533794 + 5.7247594188543052445e-402j)  +/-  (1.85e-49, 1.81e-109j)
| (0.11577445957634540387 + 9.3246386953723055834e-402j)  +/-  (7.4e-50, 7.25e-110j)
| (0.15882330376207261907 - 6.45213681085846365e-402j)  +/-  (8.81e-50, 8.63e-110j)
| (0.23041649254032920177 + 1.2016757187605600162e-401j)  +/-  (6.25e-51, 6.13e-111j)
| (0.11577445957634540387 + 6.6972180125548071283e-403j)  +/-  (3.07e-51, 2.98e-111j)
| (0.21750214839560035926 - 3.2818890086712795778e-402j)  +/-  (2.82e-51, 2.75e-111j)
| (0.21750214839560035926 - 6.6918414456389602557e-402j)  +/-  (3.54e-51, 3.45e-111j)
| (0.066730070241134747424 - 1.975096046410298306e-401j)  +/-  (2.68e-51, 2.61e-111j)
| (0.23041649254032920177 + 1.5163924869765703818e-401j)  +/-  (1.96e-51, 1.89e-111j)
| (0.19335402460080533794 + 1.6648472818950439821e-402j)  +/-  (1.04e-52, 9.7e-113j)
| (0.15882330376207261907 - 1.0186895782794724296e-402j)  +/-  (7.03e-53, 6.41e-113j)
| (-0.0014582113986014075352 - 2.1111876093334768409e-401j)  +/-  (5.72e-52, 6.17e-112j)
