Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 8
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Trying to find an order 8 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
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Ending with final polynomial:
P : 231/16*t^14 - 3731/80*t^12 + 1182181/20400*t^10 - 200960617/5814000*t^8 + 14859361517/1482570000*t^6 - 123220867/98838000*t^4 + 4422019/98838000*t^2 - 22771/889542000
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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
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
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The nodes are:
| (0.98851944675836295466 - 2.8558754020210743703e-368j)  +/-  (4.42e-124, 4.42e-124j)
| (-0.98851944675836295466 - 8.330904289601900037e-370j)  +/-  (4.82e-124, 4.82e-124j)
| (-0.93246951420315202781 - 1.8449436103978351071e-378j)  +/-  (7.04e-124, 7.04e-124j)
| (0.02411517758027983534 - 2.5198130820468442323e-391j)  +/-  (3.78e-128, 3.78e-128j)
| (0.82190330787833020415 + 8.5090914245713479171e-396j)  +/-  (4.24e-124, 4.24e-124j)
| (0.66120938646626451366 + 3.8087432921424286444e-404j)  +/-  (1.04e-124, 1.04e-124j)
| (-0.02411517758027983534 + 1.8237979626358110453e-415j)  +/-  (3.78e-128, 3.78e-128j)
| (-0.82190330787833020415 - 1.0020228500183474302e-419j)  +/-  (4.28e-124, 4.28e-124j)
| (-0.23861918608319690863 + 1.4303893037099956362e-426j)  +/-  (9.64e-127, 9.64e-127j)
| (0.46194088448213480754 + 2.3755714390079098027e-440j)  +/-  (1.45e-125, 1.45e-125j)
| (0.93246951420315202781 + 2.0817218315592197643e-458j)  +/-  (7.38e-124, 7.38e-124j)
| (0.23861918608319690863 - 1.0317747804740614376e-476j)  +/-  (9.64e-127, 9.64e-127j)
| (-0.46194088448213480754 + 4.7874165258547148315e-485j)  +/-  (1.36e-125, 1.36e-125j)
| (-0.66120938646626451366 - 3.0699403149264499787e-490j)  +/-  (1.1e-124, 1.1e-124j)
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The weights are:
| (0.030656716985530781154 + 3.1395398039744375607e-368j)  +/-  (1.71e-48, 1.14e-109j)
| (0.030656716985530781154 - 1.3583045346250597166e-369j)  +/-  (7.57e-49, 5.04e-110j)
| (0.083091576874765672722 + 2.780845894490391915e-369j)  +/-  (6.33e-49, 4.22e-110j)
| (0.12304805236201702932 + 1.5351489530170584453e-367j)  +/-  (1.74e-49, 1.16e-110j)
| (0.13715787177866484253 + 2.8351222424075988841e-368j)  +/-  (2.63e-50, 1.76e-111j)
| (0.18224248111049616472 - 2.3421627082081026461e-368j)  +/-  (2.55e-50, 1.7e-111j)
| (0.12304805236201702932 - 1.4660836360241930327e-367j)  +/-  (8.23e-50, 5.49e-111j)
| (0.13715787177866484253 - 3.4270449627164702332e-369j)  +/-  (3.06e-51, 2.04e-112j)
| (0.22994947584216200773 + 2.4037500779951175661e-368j)  +/-  (5.5e-51, 3.67e-112j)
| (0.21385382504636350182 + 2.5082283117184468071e-368j)  +/-  (1.87e-51, 1.25e-112j)
| (0.083091576874765672722 - 4.7699613145641127179e-368j)  +/-  (3.68e-52, 2.46e-113j)
| (0.22994947584216200773 - 3.8212143689894345896e-368j)  +/-  (2.8e-51, 1.87e-112j)
| (0.21385382504636350182 - 9.7345176163425440366e-369j)  +/-  (1.56e-52, 1.05e-113j)
| (0.18224248111049616472 + 5.2994690765676321642e-369j)  +/-  (8.12e-53, 5.33e-114j)
