Starting with polynomial:
P : t^8 - 28*t^6 + 210*t^4 - 420*t^2 + 105
Extension levels are: 8 11
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Trying to find an order 11 Kronrod extension for:
P1 : t^8 - 28*t^6 + 210*t^4 - 420*t^2 + 105
Solvable: 1
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Ending with final polynomial:
P : t^19 - 150851/1347*t^17 + 6541430/1347*t^15 - 47540390/449*t^13 + 566981260/449*t^11 - 3753992440/449*t^9 + 13180991670/449*t^7 - 21510616050/449*t^5 + 12604959675/449*t^3 - 2144332575/449*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:
| (1.6365190424351079992 + 2.093426095058090939e-279j)  +/-  (7.47e-125, 7.47e-125j)
| (-6.3410934275277093073 - 5.1819182122737283935e-280j)  +/-  (4e-124, 4e-124j)
| (6.3410934275277093073 + 5.1277157351260354808e-284j)  +/-  (3.56e-124, 3.56e-124j)
| (-2.8024858612875416991 - 8.2193349445999984393e-287j)  +/-  (1.3e-122, 1.3e-122j)
| (5.1580652270647994111 + 1.0513028966674825095e-303j)  +/-  (1.33e-123, 1.33e-123j)
| (3.0950955154405111371 + 2.0706786535540168878e-301j)  +/-  (7.69e-123, 7.69e-123j)
| (-1.6365190424351079992 - 5.3757784421533985415e-304j)  +/-  (7.47e-125, 7.47e-125j)
| (-3.0950955154405111371 + 3.8898019890352828507e-323j)  +/-  (7.19e-123, 7.19e-123j)
| (-4.1445471861258943321 - 4.7241548171236667627e-338j)  +/-  (2.15e-123, 2.15e-123j)
| (0.53907981135137510807 + 2.8725145372398474935e-341j)  +/-  (3.57e-126, 3.57e-126j)
| (0.79867251029900488539 + 4.7014339332376887295e-348j)  +/-  (8.85e-126, 8.85e-126j)
| (4.1445471861258943321 + 9.8424486569369269948e-357j)  +/-  (2.15e-123, 2.15e-123j)
| (1.8589152616791720446e-366 - 1.2236993389266058059e-366j)  +/-  (4.23e-365, 4.23e-365j)
| (-2.6377551349274913907 - 4.0101721667053786433e-380j)  +/-  (6.75e-123, 6.75e-123j)
| (2.6377551349274913907 - 7.1719821919763695036e-392j)  +/-  (6.38e-123, 6.38e-123j)
| (2.8024858612875416991 + 2.4741772627342060733e-391j)  +/-  (1.3e-122, 1.3e-122j)
| (-5.1580652270647994111 - 9.6416853547779639926e-393j)  +/-  (1.38e-123, 1.38e-123j)
| (-0.79867251029900488539 - 2.7417284387043788096e-391j)  +/-  (8.95e-126, 8.95e-126j)
| (-0.53907981135137510807 - 2.615569361391926886e-398j)  +/-  (3.57e-126, 3.57e-126j)
-------------------------------------------------
The weights are:
| (0.089049305474983916709 - 2.9281855076371936751e-280j)  +/-  (2.8e-40, 1.47e-102j)
| (9.9850144742943599715e-10 - 2.6661894750696009649e-287j)  +/-  (2.78e-51, 1.46e-113j)
| (9.9850144742943599715e-10 + 4.1763097993572959512e-287j)  +/-  (2.28e-51, 1.2e-113j)
| (-0.022707162522935466142 - 5.6374725322430654038e-281j)  +/-  (6.17e-46, 3.24e-108j)
| (7.1334686475986299527e-07 - 3.9243425144416618942e-285j)  +/-  (6.08e-50, 3.19e-112j)
| (0.0060229321895874962813 - 3.3700167695161585641e-281j)  +/-  (8.5e-47, 4.47e-109j)
| (0.089049305474983916709 - 5.705994210866126306e-281j)  +/-  (7.12e-44, 3.74e-106j)
| (0.0060229321895874962813 + 1.0432563338849282426e-281j)  +/-  (3.9e-47, 2.05e-109j)
| (7.2398804921198265073e-05 - 7.7108770741509832751e-284j)  +/-  (1.12e-49, 5.86e-112j)
| (-0.016676020077000314773 - 2.204178979291339231e-279j)  +/-  (5.96e-44, 3.13e-106j)
| (0.24683866133072504219 + 1.8451227464436676087e-279j)  +/-  (5.66e-44, 2.97e-106j)
| (7.2398804921198265073e-05 + 1.7640422184999578009e-283j)  +/-  (8.26e-50, 4.34e-112j)
| (0.32917878888259672127 + 1.2396077862397723946e-279j)  +/-  (1.55e-45, 8.16e-108j)
| (0.03280977601305355954 + 5.7716670287455254707e-281j)  +/-  (1.59e-46, 8.34e-109j)
| (0.03280977601305355954 - 2.4557434654490717185e-280j)  +/-  (7.83e-48, 4.11e-110j)
| (-0.022707162522935466142 + 2.1384898306684855927e-280j)  +/-  (7.1e-48, 3.73e-110j)
| (7.1334686475986299527e-07 + 2.0663363664693801092e-285j)  +/-  (1.69e-52, 8.9e-115j)
| (0.24683866133072504219 + 6.3536647544417321236e-280j)  +/-  (9.39e-48, 4.76e-110j)
| (-0.016676020077000314773 - 1.1124859656407107955e-279j)  +/-  (1.5e-47, 8.18e-110j)
