Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 9
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Trying to find an order 9 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Ending with final polynomial:
P : 16*t^13 - 528*t^11 + 30276/5*t^9 - 148968/5*t^7 + 314307/5*t^5 - 49329*t^3 + 37611/4*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:
| (1.6506801238857845559 + 7.1224874479960063404e-166j)  +/-  (2.34e-61, 2.34e-61j)
| (3.8345325314433831864 + 1.6958303447609538906e-167j)  +/-  (2.26e-61, 2.26e-61j)
| (-0.52464762327529031788 - 5.1752635032988094805e-172j)  +/-  (8.06e-63, 8.06e-63j)
| (-3.8345325314433831864 - 6.4013496416795359377e-182j)  +/-  (2.1e-61, 2.1e-61j)
| (2.9899278943630500681 + 4.4816434258943786903e-186j)  +/-  (5.93e-61, 5.93e-61j)
| (2.2832506552235534748 - 3.5910604374153675403e-189j)  +/-  (4.94e-61, 4.94e-61j)
| (-2.9899278943630500681 + 1.1558369613911500405e-194j)  +/-  (5.74e-61, 5.74e-61j)
| (-1.0693259078659559849 + 2.3921267882634162085e-204j)  +/-  (5.4e-62, 5.4e-62j)
| (-2.2832506552235534748 + 3.5274159921492223288e-213j)  +/-  (5.45e-61, 5.45e-61j)
| (0.52464762327529031788 - 2.8328471873628494494e-218j)  +/-  (8.06e-63, 8.06e-63j)
| (1.0693259078659559849 + 2.8328471873628494494e-218j)  +/-  (5.4e-62, 5.4e-62j)
| (4.4263237302544522647e-220 + 7.9673827144580140764e-220j)  +/-  (1.18e-218, 1.18e-218j)
| (-1.6506801238857845559 + 1.0806454419566533849e-224j)  +/-  (2.58e-61, 2.58e-61j)
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The weights are:
| (0.022355432077313433504 - 3.5200222787709485494e-167j)  +/-  (4.76e-20, 1.33e-50j)
| (2.2484137339454061401e-07 - 7.5786792574519642789e-171j)  +/-  (9.3e-25, 2.6e-55j)
| (0.22772324146103540239 - 3.9600729978113498763e-167j)  +/-  (1.18e-20, 3.32e-51j)
| (2.2484137339454061401e-07 + 3.0103540622879129029e-171j)  +/-  (8.92e-26, 2.49e-56j)
| (5.6054897269886972384e-05 + 2.8848125378191975045e-169j)  +/-  (1.22e-23, 3.41e-54j)
| (0.0020400873151785245963 - 5.3383380049178629505e-168j)  +/-  (1.29e-22, 3.61e-53j)
| (5.6054897269886972384e-05 - 8.3210015747065128825e-170j)  +/-  (5.97e-25, 1.66e-55j)
| (0.1008041410302270608 + 1.6943967539290510162e-167j)  +/-  (2.81e-22, 7.75e-53j)
| (0.0020400873151785245963 + 8.5818664368652796073e-169j)  +/-  (2.03e-24, 5.82e-55j)
| (0.22772324146103540239 - 7.6505467695301991209e-167j)  +/-  (1.34e-22, 4.82e-53j)
| (0.1008041410302270608 + 7.9283328246530606516e-167j)  +/-  (7.67e-23, 2.63e-53j)
| (0.2940416367552045944 + 6.4180934469759056038e-167j)  +/-  (6.87e-23, 3e-53j)
| (0.022355432077313433504 - 4.8223613460635528307e-168j)  +/-  (1.06e-23, 2.78e-54j)
