Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 10
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Trying to find an order 10 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^12 - 8477/76*t^10 + 155745/152*t^8 - 563535/152*t^6 + 1500975/304*t^4 - 2132865/1216*t^2 + 110565/2432
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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
Positive weights:   12 out of 12
Indefinite weights: 0 out of 12
Negative weights:   0 out of 12
Extension rule has valid weights: 1
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The nodes are:
| (-0.16761481870756104368 - 1.5641274181117975972e-148j)  +/-  (1.53e-63, 1.53e-63j)
| (2.0436541275856649452 - 1.0255218505400284272e-154j)  +/-  (2.62e-61, 2.62e-61j)
| (-2.7962452403682858841 + 1.0419181638211300704e-163j)  +/-  (4.07e-61, 4.07e-61j)
| (-3.6783246397895513046 + 3.7197206429960193141e-172j)  +/-  (1.56e-61, 1.56e-61j)
| (3.6783246397895513046 + 9.2540922819950750121e-178j)  +/-  (1.45e-61, 1.45e-61j)
| (0.16761481870756104368 + 9.2540922819950750121e-179j)  +/-  (1.53e-63, 1.53e-63j)
| (-2.0436541275856649452 - 4.559784901012537088e-184j)  +/-  (2.74e-61, 2.74e-61j)
| (-0.7071067811865475244 + 2.1918093490084030398e-193j)  +/-  (1.29e-62, 1.29e-62j)
| (-1.3532153932168790075 + 8.1651261039391273251e-201j)  +/-  (7.47e-62, 7.47e-62j)
| (2.7962452403682858841 - 1.6196691795533547245e-205j)  +/-  (3.53e-61, 3.53e-61j)
| (0.7071067811865475244 - 7.9737559608780540284e-205j)  +/-  (1.29e-62, 1.29e-62j)
| (1.3532153932168790075 - 2.4917987377743918839e-206j)  +/-  (7.47e-62, 7.47e-62j)
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The weights are:
| (0.22151759697813890657 - 6.715060192802683601e-149j)  +/-  (3.03e-24, 1.86e-54j)
| (0.0061996225636729859394 - 3.9155024384345434133e-151j)  +/-  (3.11e-25, 1.89e-55j)
| (0.00018118983414833347174 + 4.1305797757870688469e-152j)  +/-  (4.4e-27, 2.67e-57j)
| (7.5345025583242074783e-07 - 1.5188205884713189458e-153j)  +/-  (1.81e-28, 1.1e-58j)
| (7.5345025583242074783e-07 - 1.3864350241632409148e-153j)  +/-  (3.45e-29, 2.1e-59j)
| (0.22151759697813890657 + 1.0335652427278503917e-148j)  +/-  (1.86e-24, 1.15e-54j)
| (0.0061996225636729859394 - 4.6151844107863976925e-151j)  +/-  (2.1e-26, 1.27e-56j)
| (0.21169908114384709875 - 2.5664594545159338649e-149j)  +/-  (6.04e-25, 3.7e-55j)
| (0.060401756029936842849 + 3.4084313195415740657e-150j)  +/-  (1.47e-25, 8.89e-56j)
| (0.00018118983414833347174 + 3.6633965539001796844e-152j)  +/-  (3.51e-28, 2.15e-58j)
| (0.21169908114384709875 - 1.5828846379265233292e-149j)  +/-  (5.98e-26, 4.12e-56j)
| (0.060401756029936842849 + 2.6571214373626509027e-150j)  +/-  (1.61e-26, 9.38e-57j)
