Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4 5
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Trying to find an order 5 Kronrod extension for:
P1 : 35/8*t^4 - 15/4*t^2 + 3/8
Solvable: 1
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Ending with final polynomial:
P : 35/8*t^9 - 855/88*t^7 + 45297/6292*t^5 - 24885/12584*t^3 + 1845/12584*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:
| (0.97656025073757311153 - 1.2990974272820234697e-181j)  +/-  (9.51e-62, 9.51e-62j)
| (-0.86113631159405257522 - 5.7070856180414980327e-183j)  +/-  (1.38e-61, 1.38e-61j)
| (-0.97656025073757311153 + 1.6159771968369153931e-188j)  +/-  (1e-61, 1e-61j)
| (-1.0274106323476889249e-194 + 2.7397616862605037997e-194j)  +/-  (2.63e-193, 2.63e-193j)
| (0.86113631159405257522 - 2.3076605999996919211e-196j)  +/-  (1.28e-61, 1.28e-61j)
| (0.6402862174963099824 + 1.2758009537404886445e-202j)  +/-  (3.77e-62, 3.77e-62j)
| (-0.3399810435848562648 - 2.5527352574764108958e-214j)  +/-  (5.11e-63, 5.11e-63j)
| (-0.6402862174963099824 + 5.1529190156777066466e-231j)  +/-  (3.77e-62, 3.77e-62j)
| (0.3399810435848562648 + 1.3797210687839804784e-239j)  +/-  (4.42e-63, 4.42e-63j)
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The weights are:
| (0.062977373665473014765 + 1.3654269201976893172e-181j)  +/-  (4.34e-24, 4.47e-54j)
| (0.1700536053357227268 - 1.4090546865261002968e-182j)  +/-  (1.84e-24, 1.89e-54j)
| (0.062977373665473014765 + 1.2106886532025015896e-183j)  +/-  (1.24e-24, 1.28e-54j)
| (0.34644298189013636168 + 4.8282546662624387691e-182j)  +/-  (7.09e-25, 7.3e-55j)
| (0.1700536053357227268 - 2.0067895553031011356e-181j)  +/-  (2.37e-25, 2.44e-55j)
| (0.26679834045228444803 + 1.0403976347501532344e-181j)  +/-  (1.73e-25, 1.79e-55j)
| (0.32694918960145162956 - 3.5494718407462924606e-182j)  +/-  (5.43e-26, 5.77e-56j)
| (0.26679834045228444803 + 2.8030651680328001151e-182j)  +/-  (4.03e-26, 4.36e-56j)
| (0.32694918960145162956 - 6.7842121687905104466e-182j)  +/-  (4.51e-26, 4.36e-56j)
