Starting with polynomial:
P : t^5 - 10*t^3 + 15*t
Extension levels are: 5 10
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Trying to find an order 10 Kronrod extension for:
P1 : t^5 - 10*t^3 + 15*t
Solvable: 1
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Ending with final polynomial:
P : t^15 - 1805/21*t^13 + 169685/63*t^11 - 2447225/63*t^9 + 268675*t^7 - 846835*t^5 + 1039225*t^3 - 327525*t
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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:   15 out of 15
Indefinite weights: 0 out of 15
Negative weights:   0 out of 15
Extension rule has valid weights: 1
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The nodes are:
| (4.7272467664021150687 - 3.3365916031083486766e-141j)  +/-  (2.62e-60, 2.62e-60j)
| (5.9074473874552246428 + 2.6267330208802284129e-143j)  +/-  (8.68e-61, 8.68e-61j)
| (-4.7272467664021150687 + 3.0177959076961531502e-140j)  +/-  (2.37e-60, 2.37e-60j)
| (-5.9074473874552246428 + 2.6907996799260876424e-143j)  +/-  (8.57e-61, 8.57e-61j)
| (-2.0501330894674953466e-143 + 1.2813331809171845916e-143j)  +/-  (3.63e-142, 3.63e-142j)
| (3.7386519962521728647 - 2.5026038689788761555e-147j)  +/-  (2.43e-60, 2.43e-60j)
| (-2.8569700138728056542 - 1.9811217567250549162e-155j)  +/-  (1.39e-60, 1.39e-60j)
| (2.8569700138728056542 - 1.5628772457316951055e-163j)  +/-  (1.46e-60, 1.46e-60j)
| (-1.3556261799742658658 + 2.5876317516494047402e-171j)  +/-  (7.75e-62, 7.75e-62j)
| (-3.7386519962521728647 - 2.0436120456072457318e-178j)  +/-  (2.78e-60, 2.78e-60j)
| (0.68573644261161065561 + 1.5061999156893025736e-182j)  +/-  (6.72e-63, 6.72e-63j)
| (2.0639358295654824712 - 7.7222163646180063587e-185j)  +/-  (4.4e-61, 4.4e-61j)
| (-0.68573644261161065561 - 6.1048027436061248186e-188j)  +/-  (6.72e-63, 6.72e-63j)
| (-2.0639358295654824712 + 8.3610891304336663809e-199j)  +/-  (4.17e-61, 4.17e-61j)
| (1.3556261799742658658 - 2.8705521459160994502e-203j)  +/-  (6.55e-62, 6.55e-62j)
-------------------------------------------------
The weights are:
| (5.9380928899432733965e-06 + 7.441945209260594061e-146j)  +/-  (2.01e-24, 4.68e-54j)
| (1.4257989553391546533e-08 - 1.4664081037245795612e-149j)  +/-  (7.86e-26, 1.82e-55j)
| (5.9380928899432733965e-06 + 4.9910915150359144654e-145j)  +/-  (8.34e-26, 1.94e-55j)
| (1.4257989553391546533e-08 + 4.756251565082137832e-147j)  +/-  (3.5e-27, 8.13e-57j)
| (0.27617230236877592041 + 6.9463622975558476989e-143j)  +/-  (5.37e-22, 1.26e-51j)
| (0.00034173076459021540646 - 4.9789090702488702921e-145j)  +/-  (1.48e-24, 3.45e-54j)
| (0.0056395351558600643428 + 7.7229305961952548835e-144j)  +/-  (3.01e-24, 7.03e-54j)
| (0.0056395351558600643428 + 2.7654047681528969291e-144j)  +/-  (4.44e-24, 1.03e-53j)
| (0.10765717778636718249 + 4.6749338719033146623e-143j)  +/-  (2.04e-22, 4.8e-52j)
| (0.00034173076459021540646 - 2.1808160947389901466e-144j)  +/-  (2.58e-25, 5.94e-55j)
| (0.2127854784466585195 - 5.8289624559970918777e-143j)  +/-  (2.24e-22, 5.22e-52j)
| (0.035483974311256561392 - 1.1465850498834518761e-143j)  +/-  (5.04e-24, 1.13e-53j)
| (0.2127854784466585195 - 6.3583793917822057191e-143j)  +/-  (7.28e-23, 1.81e-52j)
| (0.035483974311256561392 - 2.274336320908680493e-143j)  +/-  (6.38e-24, 1.59e-53j)
| (0.10765717778636718249 + 3.148177193745815913e-143j)  +/-  (1.52e-23, 3.14e-53j)
