Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4 10
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Trying to find an order 10 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^14 - 436215/27784*t^12 + 12954799/583464*t^10 - 3039465/194488*t^8 + 2679105/472328*t^6 - 8846695/8974232*t^4 + 1485/22952*t^2 - 273/390184
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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
Sufficient bits for target precision reached
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The nodes are:
| (0.95280406968027788258 - 4.8270114933275791541e-162j)  +/-  (1.41e-59, 1.41e-59j)
| (-0.99444997880691468328 + 1.4951659714999216765e-170j)  +/-  (7.23e-60, 7.23e-60j)
| (-0.95280406968027788258 + 1.3783182252145032437e-170j)  +/-  (1.4e-59, 1.4e-59j)
| (-0.11539569344883949077 + 1.4426047015445431427e-170j)  +/-  (1.82e-63, 1.82e-63j)
| (0.72317255923281838433 - 1.6496468289781513984e-173j)  +/-  (1.92e-60, 1.92e-60j)
| (0.99444997880691468328 + 1.059882756672248435e-177j)  +/-  (8.87e-60, 8.87e-60j)
| (0.11539569344883949077 + 2.5970549083387938052e-185j)  +/-  (1.38e-63, 1.38e-63j)
| (-0.86113631159405257522 + 8.4116999686017569265e-185j)  +/-  (7.26e-60, 7.26e-60j)
| (-0.3399810435848562648 - 5.5361246571498005995e-187j)  +/-  (2.51e-62, 2.51e-62j)
| (0.3399810435848562648 - 1.3100188475691260787e-184j)  +/-  (2.51e-62, 2.51e-62j)
| (0.86113631159405257522 + 2.1392059246322013668e-187j)  +/-  (7.66e-60, 7.66e-60j)
| (0.54627694908708365616 - 2.8681880153039649153e-194j)  +/-  (3.01e-61, 3.01e-61j)
| (-0.54627694908708365616 + 8.8509966966700140204e-199j)  +/-  (2.58e-61, 2.58e-61j)
| (-0.72317255923281838433 + 2.0463847297997437859e-200j)  +/-  (1.92e-60, 1.92e-60j)
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The weights are:
| (0.066764933523964631278 + 3.5470642297039964963e-163j)  +/-  (4.98e-18, 1.11e-46j)
| (0.018065814629580757961 + 6.4624584601497156515e-164j)  +/-  (2.15e-18, 4.8e-47j)
| (0.066764933523964631278 - 1.6911930668766361184e-163j)  +/-  (1.82e-18, 4.05e-47j)
| (0.22975153724372573559 + 5.9116695842882213774e-163j)  +/-  (3.39e-19, 7.56e-48j)
| (0.15885788198813405635 + 2.2676924102288944489e-162j)  +/-  (2.04e-19, 4.54e-48j)
| (0.018065814629580757961 + 3.0216760265541546019e-162j)  +/-  (1.34e-19, 2.98e-48j)
| (0.22975153724372573559 - 7.5409374346744596691e-163j)  +/-  (1.89e-19, 4.22e-48j)
| (0.11582996606781035065 + 2.4258831019355754007e-163j)  +/-  (3.93e-20, 8.75e-49j)
| (0.21739446817303976184 - 4.746079937918483337e-163j)  +/-  (4.39e-20, 9.79e-49j)
| (0.21739446817303976184 + 1.0012126611188150843e-162j)  +/-  (3.02e-20, 6.72e-49j)
| (0.11582996606781035065 - 4.8003873869933448622e-162j)  +/-  (1.46e-20, 3.25e-49j)
| (0.19333539837374470633 - 1.4197749029400228423e-162j)  +/-  (1.31e-20, 2.92e-49j)
| (0.19333539837374470633 + 3.8502054374616236163e-163j)  +/-  (1.26e-21, 2.88e-50j)
| (0.15885788198813405635 - 3.1070458396197736378e-163j)  +/-  (1.15e-21, 2.48e-50j)
