Starting with polynomial:
P : t
Extension levels are: 1 4 6
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Trying to find an order 4 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : t^5 - 10/9*t^3 + 5/21*t
Solvable: 1
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Ending with final polynomial:
P : t^11 - 319/117*t^9 + 15994/5915*t^7 - 219098/186745*t^5 + 23263/112047*t^3 - 383/37349*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 + 1.408237506737898953e-191j)  +/-  (4.32e-61, 4.32e-61j)
| (-0.53846931010568309104 - 1.65884008347803941e-195j)  +/-  (6e-62, 6e-62j)
| (-0.9840853600948424645 + 4.0825630519695636625e-200j)  +/-  (4.5e-61, 4.5e-61j)
| (-0.27963041316178319341 + 1.2014898698985410085e-208j)  +/-  (6.26e-63, 6.26e-63j)
| (0.75416672657084922044 - 5.353473850687170063e-208j)  +/-  (3.9e-61, 3.9e-61j)
| (0.53846931010568309104 - 4.6576743374231415676e-210j)  +/-  (6e-62, 6e-62j)
| (3.1486829066763584577e-211 - 2.079318900635331057e-211j)  +/-  (4.15e-210, 4.15e-210j)
| (-0.9061798459386639928 - 6.9620052476629388068e-215j)  +/-  (6.94e-61, 6.94e-61j)
| (-0.75416672657084922044 - 3.371613778904758561e-222j)  +/-  (3.17e-61, 3.17e-61j)
| (0.27963041316178319341 - 5.9097797607004481988e-226j)  +/-  (6.26e-63, 6.26e-63j)
| (0.9061798459386639928 + 2.471976448475844618e-223j)  +/-  (7.45e-61, 7.45e-61j)
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The weights are:
| (0.042582036751081832865 - 1.4946822421897373433e-191j)  +/-  (5.44e-21, 5.33e-51j)
| (0.2410403392286475867 + 2.1973384463482990045e-192j)  +/-  (2.48e-21, 2.43e-51j)
| (0.042582036751081832865 - 3.0483770466095922832e-193j)  +/-  (5.41e-22, 5.3e-52j)
| (0.27284980191255892234 - 3.0387619015143927082e-192j)  +/-  (1.84e-21, 1.8e-51j)
| (0.18680079655649265747 - 1.1441190830946357493e-191j)  +/-  (1.7e-22, 1.67e-52j)
| (0.2410403392286475867 + 7.5079040372044268246e-192j)  +/-  (1.71e-22, 1.67e-52j)
| (0.2829874178574912132 + 4.0903894701446921576e-192j)  +/-  (1.84e-22, 1.8e-52j)
| (0.11523331662247339402 + 9.0716750553228770634e-193j)  +/-  (1.89e-23, 1.85e-53j)
| (0.18680079655649265747 - 1.5148161259546460303e-192j)  +/-  (2.78e-23, 2.72e-53j)
| (0.27284980191255892234 - 5.4538304476224664939e-192j)  +/-  (1.2e-23, 1.2e-53j)
| (0.11523331662247339402 + 2.1997459973366489693e-191j)  +/-  (3.45e-24, 3.16e-54j)
