Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 10
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Trying to find an order 10 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
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Ending with final polynomial:
P : 1/2*t^12 - 3852073353/61888739*t^11 + 1597308040787/495109912*t^10 - 11295103253975/123777478*t^9 + 384316836273675/247554956*t^8 - 1022998167131760/61888739*t^7 + 6887752414879140/61888739*t^6 - 29022593851858320/61888739*t^5 + 74267263936971000/61888739*t^4 - 109175102938944000/61888739*t^3 + 83402880296979600/61888739*t^2 - 27004903729070400/61888739*t + 2146648712695200/61888739
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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:
| (33.679152976949812553 - 1.8340377023943305997e-174j)  +/-  (1.14e-58, 1.14e-58j)
| (19.368154141459774487 + 1.4658337579488292646e-178j)  +/-  (1.08e-57, 1.08e-57j)
| (25.402838820178338371 + 2.4619896668757369606e-181j)  +/-  (4.94e-58, 4.94e-58j)
| (7.7301069185733948423 - 1.7602929381655454762e-186j)  +/-  (3.96e-58, 3.96e-58j)
| (5.2801045608784763523 + 2.1698583408539404525e-201j)  +/-  (1.32e-58, 1.32e-58j)
| (0.11418996779267391806 + 1.0401347232092393184e-208j)  +/-  (2.39e-63, 2.39e-63j)
| (10.81045510693777843 - 2.7535274661166896648e-216j)  +/-  (8.98e-58, 8.98e-58j)
| (14.626881074975450146 + 2.4714687828944200504e-228j)  +/-  (1.07e-57, 1.07e-57j)
| (3.4142135623730950488 - 5.1403386469870872456e-231j)  +/-  (4.19e-59, 4.19e-59j)
| (1.3197049199137522483 - 2.1480979539232627195e-231j)  +/-  (1.55e-60, 1.55e-60j)
| (0.5857864376269049512 + 2.2163071404177147842e-233j)  +/-  (1.13e-61, 1.13e-61j)
| (2.1522324866215079071 + 3.3568944736570753196e-233j)  +/-  (1.03e-59, 1.03e-59j)
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The weights are:
| (2.4033320699365704089e-14 + 2.292554613862621117e-188j)  +/-  (1.51e-25, 4.6e-54j)
| (2.0556591697880265924e-08 + 2.3020712073569614711e-186j)  +/-  (2.35e-23, 7.15e-52j)
| (6.4058629457908905815e-11 - 3.4569937838235057012e-187j)  +/-  (2.05e-24, 6.25e-53j)
| (0.0012094494202066706465 - 8.3550908261840057476e-184j)  +/-  (6.18e-21, 1.88e-49j)
| (0.010976118301513013488 + 3.156748415714598914e-183j)  +/-  (3.73e-20, 1.14e-48j)
| (0.26016085094430277075 - 4.065658543822138465e-183j)  +/-  (1.08e-19, 3.28e-48j)
| (6.9150232539018381499e-05 + 1.743178401312383999e-184j)  +/-  (3.08e-22, 9.38e-51j)
| (1.8825360163613097279e-06 - 2.6014736612716281921e-185j)  +/-  (3.54e-23, 1.08e-51j)
| (0.051691395522784073985 - 9.7466435016452057535e-183j)  +/-  (1.3e-20, 3.95e-49j)
| (0.20891353703777773362 - 2.3063129928683017215e-182j)  +/-  (2.63e-20, 8.04e-49j)
| (0.35431893980360519297 + 1.3802058238416374094e-182j)  +/-  (2.26e-20, 6.92e-49j)
| (0.11265865558058080419 + 2.0601852001744153645e-182j)  +/-  (1.7e-20, 5.18e-49j)
