Starting with polynomial:
P : -t+1
Extension levels are: 1 3 5
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Trying to find an order 3 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Trying to find an order 5 Kronrod extension for:
P2 : -t^4 + 49/4*t^3 - 153/4*t^2 + 57/2*t - 3/2
Solvable: 1
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Ending with final polynomial:
P : -t^9 + 8913807221/174577516*t^8 - 346896933499/349155032*t^7 + 3329250396937/349155032*t^6 - 8538378231899/174577516*t^5 + 23551735187795/174577516*t^4 - 8100489458905/43644379*t^3 + 4370729197935/43644379*t^2 - 409117906830/43644379*t + 10559938470/43644379
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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:
| (19.12622188851013496 + 8.3022776639280642513e-144j)  +/-  (3.37e-60, 3.37e-60j)
| (12.438835636362665227 + 1.9328707280572561413e-143j)  +/-  (1.23e-59, 1.23e-59j)
| (7.8232631436879996743 - 7.7931084480002203483e-144j)  +/-  (1.3e-59, 1.3e-59j)
| (1 + 5.9646059571694942741e-141j)  +/-  (9.23e-62, 9.23e-62j)
| (3.7068293223182415456 - 8.7080604224988974708e-143j)  +/-  (2.24e-58, 2.24e-58j)
| (0.056897625001077184683 + 1.5777141603845079977e-158j)  +/-  (1.37e-62, 1.37e-62j)
| (3.4849364779110753601 - 4.7006642959192647268e-172j)  +/-  (5.89e-58, 5.89e-58j)
| (0.052485028214125533477 + 1.4318276176062553457e-184j)  +/-  (1.13e-62, 1.13e-62j)
| (3.369839231310923141 + 2.2337551004250513529e-189j)  +/-  (3.42e-58, 3.42e-58j)
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The weights are:
| (4.1601707831146705904e-08 + 1.6585638416099979832e-147j)  +/-  (1.32e-26, 2.78e-55j)
| (2.1461161638330634945e-05 - 1.3002200819899700723e-145j)  +/-  (3.12e-25, 6.57e-54j)
| (0.0015821447581546051884 + 4.9098328559656214692e-144j)  +/-  (3.83e-24, 8.06e-53j)
| (0.47264507680139246963 - 1.7867737107392291896e-141j)  +/-  (7.45e-22, 1.71e-50j)
| (1.3385270622245037176 - 1.310258162201629709e-140j)  +/-  (7.08e-23, 1.49e-51j)
| (8.185607883497565248 + 1.9057062867910913211e-139j)  +/-  (3.51e-22, 8.11e-51j)
| (-4.4803506746036439382 + 4.8671908516260673105e-140j)  +/-  (5.2e-23, 1.09e-51j)
| (-7.8152821131068350762 - 1.8786210790434632155e-139j)  +/-  (2.37e-22, 5.71e-51j)
| (3.2972491176655168121 - 3.6495855427679565616e-140j)  +/-  (3.76e-23, 7.89e-52j)
