Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 12
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Trying to find an order 12 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^14 - 248498/1555*t^12 + 3530769/1555*t^10 - 8883963/622*t^8 + 50229333/1244*t^6 - 114812775/2488*t^4 + 78937551/4976*t^2 - 6151761/9952
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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:
| (2.5504966051126501465 - 2.7133285516175262249e-166j)  +/-  (1.28e-60, 1.28e-60j)
| (-3.270676901126319117 - 2.0215873059760974533e-172j)  +/-  (1.12e-60, 1.12e-60j)
| (1.8942430499246252602 + 3.1463913758783255041e-177j)  +/-  (4.82e-61, 4.82e-61j)
| (-4.1204787410992218738 - 8.4829179251621520944e-179j)  +/-  (5.12e-61, 5.12e-61j)
| (3.270676901126319117 - 9.639679460411536471e-181j)  +/-  (1.24e-60, 1.24e-60j)
| (1.2798739543845792198 + 9.8844369467110481392e-183j)  +/-  (1.2e-61, 1.2e-61j)
| (4.1204787410992218738 + 1.8239139604050148352e-183j)  +/-  (5.12e-61, 5.12e-61j)
| (-1.2798739543845792198 + 1.0296288486157341812e-184j)  +/-  (1.33e-61, 1.33e-61j)
| (-2.5504966051126501465 + 1.3150856094050418239e-192j)  +/-  (1.12e-60, 1.12e-60j)
| (0.21096799267853511108 - 6.0617896195644081261e-198j)  +/-  (2.06e-63, 2.06e-63j)
| (0.7071067811865475244 - 7.7340074456511414023e-198j)  +/-  (2.09e-62, 2.09e-62j)
| (-0.7071067811865475244 - 4.8494316956515265009e-197j)  +/-  (2.09e-62, 2.09e-62j)
| (-1.8942430499246252602 + 4.4653033380917102559e-203j)  +/-  (4.71e-61, 4.71e-61j)
| (-0.21096799267853511108 - 1.0706947701374340126e-207j)  +/-  (2.06e-63, 2.06e-63j)
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The weights are:
| (0.0005760291082305695096 + 4.5765366832458855662e-169j)  +/-  (8.29e-23, 2.15e-52j)
| (9.7819999278132357203e-06 + 2.748354649253550461e-171j)  +/-  (8.48e-25, 2.2e-54j)
| (0.0098809886556137197268 - 1.3086775447522529552e-168j)  +/-  (9.64e-22, 2.5e-51j)
| (2.3154831845211237908e-08 - 9.3009379206922734316e-173j)  +/-  (2.83e-26, 7.33e-56j)
| (9.7819999278132357203e-06 + 2.2214840736090347026e-170j)  +/-  (6.97e-25, 1.81e-54j)
| (0.065313216080933070583 + 2.4780179852929801676e-168j)  +/-  (6.65e-22, 1.72e-51j)
| (2.3154831845211237908e-08 - 3.9520366230822254168e-172j)  +/-  (1.7e-26, 4.41e-56j)
| (0.065313216080933070583 - 8.2201580549007514454e-169j)  +/-  (3.11e-23, 8.05e-53j)
| (0.0005760291082305695096 - 3.0640206587813044042e-170j)  +/-  (2.8e-25, 7.33e-55j)
| (0.23799455959096829293 + 6.5152360606901590109e-168j)  +/-  (1.87e-22, 5.06e-52j)
| (0.1862254014094946888 - 4.5782140883049898767e-168j)  +/-  (1.34e-22, 3.63e-52j)
| (0.1862254014094946888 + 2.5906875144444061357e-168j)  +/-  (2.52e-23, 6.75e-53j)
| (0.0098809886556137197268 + 1.9322255715215694014e-169j)  +/-  (1.21e-24, 3.09e-54j)
| (0.23799455959096829293 - 5.5197451231129885426e-168j)  +/-  (3.95e-23, 1.06e-52j)
