Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 14
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Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
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Ending with final polynomial:
P : 3/2*t^20 - 111542583514655/16329965371258*t^18 + 23000790623634927/1771801242781493*t^16 - 685232025857483175/51382236040663297*t^14 + 5693616311282510/710353493649723*t^12 - 271731796260106/95328823823123*t^10 + 8887675214459847/15347940635522803*t^8 - 4745531391078231/76739703177614015*t^6 + 93556582421835/30695881271045606*t^4 - 13852984108093/214871168897319242*t^2 + 69487884128/146503069702717665
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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: 0
  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
-------------------------------------------------
The nodes are:
| (0.99521824907985271661 - 2.0418968238957874726e-365j)  +/-  (3.52e-122, 3.52e-122j)
| (-0.57735026918962576451 - 7.9412661856474648394e-379j)  +/-  (7.81e-124, 7.81e-124j)
| (-0.96861169018623620956 + 1.3456313459824182795e-375j)  +/-  (6.45e-122, 6.45e-122j)
| (0.57735026918962576451 + 1.2091999698510534561e-375j)  +/-  (6.69e-124, 6.69e-124j)
| (0.91248695683407599658 + 7.960018652165267067e-376j)  +/-  (5.17e-122, 5.17e-122j)
| (0.82690885901697189971 - 3.617623254537024555e-385j)  +/-  (1.9e-122, 1.9e-122j)
| (-0.99521824907985271661 - 2.2431347422141438642e-390j)  +/-  (3.4e-122, 3.4e-122j)
| (-0.91248695683407599658 - 1.877466554721799086e-390j)  +/-  (5.26e-122, 5.26e-122j)
| (-0.41905515798203752075 - 4.0983454460836582009e-394j)  +/-  (6.31e-125, 6.31e-125j)
| (0.13022152008293402128 - 1.1731293937447158816e-399j)  +/-  (3.91e-126, 3.91e-126j)
| (0.96861169018623620956 + 4.9122821240981694312e-415j)  +/-  (6.11e-122, 6.11e-122j)
| (0.15655801081562154215 - 1.4414243263479665326e-421j)  +/-  (8.18e-126, 8.18e-126j)
| (-0.21946217414855798398 + 2.1843595692197824926e-425j)  +/-  (8.83e-126, 8.83e-126j)
| (-0.71417543668774168934 + 1.6425780784320356515e-426j)  +/-  (4.86e-123, 4.86e-123j)
| (0.21946217414855798398 + 9.6021815845225198868e-428j)  +/-  (8.97e-126, 8.97e-126j)
| (0.71417543668774168934 + 1.59212265753921554e-426j)  +/-  (4.48e-123, 4.48e-123j)
| (0.41905515798203752075 - 1.8826904701162524409e-429j)  +/-  (6.25e-125, 6.25e-125j)
| (-0.13022152008293402128 - 1.8039327641591580061e-429j)  +/-  (3.91e-126, 3.91e-126j)
| (-0.82690885901697189971 - 2.4802431982439735304e-430j)  +/-  (1.78e-122, 1.78e-122j)
| (-0.15655801081562154215 + 5.9109311411375699451e-436j)  +/-  (8.18e-126, 8.18e-126j)
-------------------------------------------------
The weights are:
| (0.013401041794821696488 + 2.0120555316712570701e-365j)  +/-  (2.21e-42, 8.66e-102j)
| (0.1478280584562857751 + 3.2013922424081122546e-366j)  +/-  (9.11e-43, 3.58e-102j)
| (0.041013529257224006798 + 3.9739860495729766021e-367j)  +/-  (4.77e-43, 1.87e-102j)
| (0.1478280584562857751 - 1.2047845003654659471e-365j)  +/-  (2.65e-43, 1.04e-102j)
| (0.071132866822904633526 + 1.5321779228833785995e-365j)  +/-  (2.13e-43, 8.36e-103j)
| (0.099625903554204297967 - 1.1233497873083361207e-365j)  +/-  (1.47e-43, 5.78e-103j)
| (0.013401041794821696488 - 1.3747509432346089085e-367j)  +/-  (6.49e-44, 2.55e-103j)
| (0.071132866822904633526 - 6.6445832104588080157e-367j)  +/-  (8.83e-44, 3.47e-103j)
| (0.16915105390604445958 - 7.9225592116358177008e-366j)  +/-  (2.4e-44, 9.42e-104j)
| (0.77673067845955530794 - 4.8980376125918383557e-364j)  +/-  (6.07e-45, 2.38e-104j)
| (0.041013529257224006798 - 2.9331988428744162732e-365j)  +/-  (3.37e-45, 1.32e-104j)
| (-0.8267910401908503655 + 6.2824839838628542813e-364j)  +/-  (4.68e-45, 1.84e-104j)
| (0.38259055826704569312 + 1.136577944504476498e-364j)  +/-  (2.44e-46, 9.6e-106j)
| (0.12531734967276449499 - 1.7069163767410619119e-366j)  +/-  (6.91e-47, 2.71e-106j)
| (0.38259055826704569312 - 1.7796560326250058074e-364j)  +/-  (6.58e-46, 2.58e-105j)
| (0.12531734967276449499 + 1.0382019913440285767e-365j)  +/-  (2.95e-47, 1.16e-106j)
| (0.16915105390604445958 + 1.9447036752498498936e-365j)  +/-  (3.81e-47, 1.5e-106j)
| (0.77673067845955530794 + 3.7645608673194670592e-364j)  +/-  (4.48e-47, 1.75e-106j)
| (0.099625903554204297967 + 1.037635173093505181e-366j)  +/-  (2.2e-49, 7.75e-109j)
| (-0.8267910401908503655 - 4.5745599196971101932e-364j)  +/-  (5e-47, 1.97e-106j)
