Starting with polynomial:
P : t^3 - 3*t
Extension levels are: 3 10
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Trying to find an order 10 Kronrod extension for:
P1 : t^3 - 3*t
Solvable: 1
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Ending with final polynomial:
P : t^13 - 629/8*t^11 + 17435/8*t^9 - 105435/4*t^7 + 557865/4*t^5 - 2248785/8*t^3 + 1133055/8*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
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The nodes are:
| (2.6308380841127442917 - 1.1480745301017973941e-141j)  +/-  (3.51e-61, 3.51e-61j)
| (-1.7320508075688772935 + 2.4243974980732862757e-147j)  +/-  (8.89e-62, 8.89e-62j)
| (4.6096758921816875609 - 4.8878981815993674913e-150j)  +/-  (1.02e-60, 1.02e-60j)
| (5.8238536767427603773 + 3.7291703656001033716e-154j)  +/-  (3.18e-61, 3.18e-61j)
| (-3.5773982809904283695 + 7.2835358703127018977e-158j)  +/-  (1.03e-60, 1.03e-60j)
| (1.7320508075688772935 - 2.5006035931707121689e-162j)  +/-  (1.01e-61, 1.01e-61j)
| (-5.8238536767427603773 + 5.8824115083895588079e-167j)  +/-  (3.28e-61, 3.28e-61j)
| (-0.85995874045067267595 - 3.3916606895219077811e-167j)  +/-  (1.18e-62, 1.18e-62j)
| (-2.6308380841127442917 + 3.3784120149534628289e-168j)  +/-  (3.51e-61, 3.51e-61j)
| (-4.6096758921816875609 - 3.5771421334801371129e-168j)  +/-  (7.54e-61, 7.54e-61j)
| (0.85995874045067267595 - 1.0027073037641443368e-171j)  +/-  (1.18e-62, 1.18e-62j)
| (-4.5185997470679077208e-182 + 2.1180936314380817441e-183j)  +/-  (5.88e-181, 5.88e-181j)
| (3.5773982809904283695 + 2.9452438127300415847e-193j)  +/-  (8.64e-61, 8.64e-61j)
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The weights are:
| (0.011506596741917076225 + 1.7247700998071423785e-143j)  +/-  (4.11e-21, 2.12e-51j)
| (0.078570626830338465934 - 7.8548835564714335133e-144j)  +/-  (1.05e-19, 5.42e-50j)
| (1.0642724627824776593e-05 - 2.0867843675756540824e-145j)  +/-  (2.25e-24, 1.16e-54j)
| (2.3835127375884542301e-08 + 6.2788478062427830004e-147j)  +/-  (1.02e-25, 5.28e-56j)
| (0.0006507906129236193071 - 5.1169706855595146069e-145j)  +/-  (1.17e-24, 6.02e-55j)
| (0.078570626830338465934 - 3.8129878030725406616e-143j)  +/-  (8.43e-22, 4.36e-52j)
| (2.3835127375884542301e-08 - 2.3713037297165794008e-147j)  +/-  (1.85e-27, 9.57e-58j)
| (0.23811340498788531565 + 1.7019815963066926766e-143j)  +/-  (5.36e-23, 2.39e-53j)
| (0.011506596741917076225 + 2.5107703485785078585e-144j)  +/-  (2.83e-24, 1.46e-54j)
| (1.0642724627824776593e-05 + 5.7032669361455226411e-146j)  +/-  (3.13e-26, 1.62e-56j)
| (0.23811340498788531565 + 3.3550459543459528728e-143j)  +/-  (1.63e-23, 7.48e-54j)
| (0.34229582853436064445 - 2.7040575406130069094e-143j)  +/-  (1.71e-23, 5.89e-54j)
| (0.0006507906129236193071 + 3.3560254320260575243e-144j)  +/-  (2.4e-25, 1.29e-55j)
