Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 10
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Trying to find an order 10 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Ending with final polynomial:
P : t^12 - 8477/152*t^10 + 155745/152*t^8 - 563535/76*t^6 + 1500975/76*t^4 - 2132865/152*t^2 + 110565/152
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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:   12 out of 12
Indefinite weights: 0 out of 12
Negative weights:   0 out of 12
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.23704314987094039888 - 1.6958303447609538906e-167j)  +/-  (2.38e-63, 2.38e-63j)
| (5.2019365924015129919 + 3.1796818964267885448e-167j)  +/-  (2.57e-61, 2.57e-61j)
| (3.9544879426500450264 - 1.4507298652447222736e-167j)  +/-  (5.47e-61, 5.47e-61j)
| (1 - 2.1197879309511923632e-168j)  +/-  (1.67e-62, 1.67e-62j)
| (-1 + 2.1197879309511923632e-167j)  +/-  (1.91e-62, 1.91e-62j)
| (-1.9137355618993510628 + 8.2804216052780951688e-170j)  +/-  (1.34e-61, 1.34e-61j)
| (1.9137355618993510628 - 4.851809534342633888e-173j)  +/-  (1.34e-61, 1.34e-61j)
| (2.8901633840314029187 + 1.3819444474445978685e-176j)  +/-  (3.74e-61, 3.74e-61j)
| (-0.23704314987094039888 - 2.8241248419174423255e-183j)  +/-  (1.71e-63, 1.71e-63j)
| (-5.2019365924015129919 + 1.7534474792067224318e-192j)  +/-  (2.24e-61, 2.24e-61j)
| (-3.9544879426500450264 - 5.7032746988854794705e-211j)  +/-  (5.47e-61, 5.47e-61j)
| (-2.8901633840314029187 - 2.7016136048916334623e-224j)  +/-  (3.8e-61, 3.8e-61j)
-------------------------------------------------
The weights are:
| (0.22151759697813890657 + 1.299121647608244972e-167j)  +/-  (2.57e-20, 1.26e-50j)
| (7.5345025583242074783e-07 - 1.6582919451965306433e-172j)  +/-  (1.67e-25, 8.21e-56j)
| (0.00018118983414833347174 + 1.1351837944887671491e-170j)  +/-  (2.67e-24, 1.31e-54j)
| (0.21169908114384709875 + 2.2179613604670040874e-169j)  +/-  (1.73e-20, 8.51e-51j)
| (0.21169908114384709875 + 7.2520936509937866271e-168j)  +/-  (4.62e-21, 2.27e-51j)
| (0.060401756029936842849 + 1.2627169094336652049e-168j)  +/-  (1.08e-22, 5.3e-53j)
| (0.060401756029936842849 + 3.8369556394532848954e-169j)  +/-  (2.87e-22, 1.41e-52j)
| (0.0061996225636729859394 - 7.2754010338140495704e-170j)  +/-  (1.81e-23, 8.92e-54j)
| (0.22151759697813890657 - 2.1937978063506302112e-167j)  +/-  (3.37e-21, 1.66e-51j)
| (7.5345025583242074783e-07 - 3.1445268260818757679e-172j)  +/-  (6.06e-28, 2.98e-58j)
| (0.00018118983414833347174 + 9.3613226297858330863e-171j)  +/-  (7.08e-27, 3.49e-57j)
| (0.0061996225636729859394 - 1.2101954135503350732e-169j)  +/-  (7.55e-26, 3.67e-56j)
