Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 6
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Trying to find an order 6 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
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Ending with final polynomial:
P : 63/8*t^11 - 2233/104*t^9 + 71973/3380*t^7 - 6901587/746980*t^5 + 488523/298792*t^3 - 24129/298792*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:
| (0.9840853600948424645 + 2.5685265808692223122e-194j)  +/-  (4.61e-61, 4.61e-61j)
| (-0.53846931010568309104 + 1.1772413495650602264e-194j)  +/-  (6.6e-62, 6.6e-62j)
| (-0.9840853600948424645 - 2.5516019074809772891e-201j)  +/-  (4.89e-61, 4.89e-61j)
| (-0.27963041316178319341 - 3.7717656675295970899e-208j)  +/-  (5.08e-63, 5.08e-63j)
| (0.75416672657084922044 + 3.6596012651181826603e-210j)  +/-  (3.6e-61, 3.6e-61j)
| (0.53846931010568309104 - 1.2624436182428795703e-212j)  +/-  (6.48e-62, 6.48e-62j)
| (2.7848020990651755227e-214 - 1.8565347327101170152e-214j)  +/-  (3.68e-213, 3.68e-213j)
| (-0.9061798459386639928 + 1.8696791436594806366e-217j)  +/-  (7.38e-61, 7.38e-61j)
| (-0.75416672657084922044 + 7.40025998651916238e-221j)  +/-  (3.6e-61, 3.6e-61j)
| (0.27963041316178319341 - 4.326803039084256717e-226j)  +/-  (5.08e-63, 5.08e-63j)
| (0.9061798459386639928 + 2.1950610539744521881e-225j)  +/-  (7.7e-61, 7.7e-61j)
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The weights are:
| (0.042582036751081832865 - 2.7596071752500851688e-194j)  +/-  (5.44e-21, 5.68e-51j)
| (0.2410403392286475867 + 5.1269577025058056013e-195j)  +/-  (2.48e-21, 2.59e-51j)
| (0.042582036751081832865 + 5.8557718633055234411e-196j)  +/-  (5.41e-22, 5.65e-52j)
| (0.27284980191255892234 - 1.8135682216635425603e-194j)  +/-  (1.84e-21, 1.92e-51j)
| (0.18680079655649265747 - 2.2594342043664866658e-194j)  +/-  (1.7e-22, 1.78e-52j)
| (0.2410403392286475867 + 1.6329469622348947143e-194j)  +/-  (1.71e-22, 1.78e-52j)
| (0.2829874178574912132 + 1.3803620543051185587e-194j)  +/-  (1.84e-22, 1.92e-52j)
| (0.11523331662247339402 - 2.2990820200203148242e-195j)  +/-  (1.89e-23, 1.97e-53j)
| (0.18680079655649265747 + 7.5831517673932905042e-195j)  +/-  (2.78e-23, 2.9e-53j)
| (0.27284980191255892234 - 1.393177045258484579e-194j)  +/-  (1.2e-23, 1.28e-53j)
| (0.11523331662247339402 + 4.1128171663776523385e-194j)  +/-  (3.45e-24, 3.37e-54j)
