Starting with polynomial:
P : 2*t
Extension levels are: 1 2 6
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Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^9 - 117/4*t^7 + 945/8*t^5 - 2205/16*t^3 + 945/32*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:   9 out of 9
Indefinite weights: 0 out of 9
Negative weights:   0 out of 9
Extension rule has valid weights: 1
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The nodes are:
| (-0.52403354748695764515 + 1.5800665924627617177e-187j)  +/-  (3.72e-63, 3.72e-63j)
| (-2.9592107790638377223 - 2.412391248039291517e-194j)  +/-  (2.48e-62, 2.48e-62j)
| (2.9592107790638377223 - 6.8494042156512594992e-194j)  +/-  (2.3e-62, 2.3e-62j)
| (0.52403354748695764515 + 2.1918093490084030398e-193j)  +/-  (2.09e-63, 2.09e-63j)
| (2.0232301911005156592 - 2.0066613913040799314e-197j)  +/-  (4.13e-62, 4.13e-62j)
| (1.2247448713915890491 - 1.0451361413042082976e-198j)  +/-  (1.25e-62, 1.25e-62j)
| (7.7868710555449746371e-207 + 4.2827790805497360504e-207j)  +/-  (8e-206, 8e-206j)
| (-2.0232301911005156592 + 8.6451635356532270794e-224j)  +/-  (3.03e-62, 3.03e-62j)
| (-1.2247448713915890491 + 2.3995149022330095277e-240j)  +/-  (1.25e-62, 1.25e-62j)
-------------------------------------------------
The weights are:
| (0.27007432957793787076 + 6.8666530950514291761e-188j)  +/-  (2.24e-28, 3.01e-59j)
| (9.4269457556517489445e-05 + 7.5987031674012465149e-191j)  +/-  (1.24e-30, 1.6e-61j)
| (9.4269457556517489445e-05 - 5.3123468429793504988e-191j)  +/-  (6.04e-31, 7.79e-62j)
| (0.27007432957793787076 + 4.0716326710033880139e-188j)  +/-  (1.14e-28, 1.51e-59j)
| (0.0079963254708935327699 + 9.6585774054944672231e-190j)  +/-  (8.43e-30, 1.08e-60j)
| (0.094850948509485094851 - 7.6889473994622468722e-189j)  +/-  (3.3e-29, 4.3e-60j)
| (0.25396825396825396825 - 1.2023095412467286485e-187j)  +/-  (3.58e-29, 5.69e-60j)
| (0.0079963254708935327699 - 1.6410727798896205597e-189j)  +/-  (3.8e-30, 4.96e-61j)
| (0.094850948509485094851 + 1.91893953396828947e-188j)  +/-  (2.69e-29, 3.18e-60j)
