Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 13
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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 13 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^19 - 6523706162613/947242382590*t^17 + 1271968937263439/96145101832885*t^15 - 340906484373145/24723026185599*t^13 + 1742580135265346/206025218213325*t^11 - 382983832651706/123615130927995*t^9 + 100441415714497/152857419964725*t^7 - 117353462093153/1579526672968825*t^5 + 204124551917/54155200216074*t^3 - 3740307548549/66340120264690650*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
  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:
| (0.99696950640141468823 - 7.1591404923375572372e-328j)  +/-  (2.96e-122, 2.96e-122j)
| (-0.30008276830241539724 + 1.1332705954029002058e-340j)  +/-  (1.42e-125, 1.42e-125j)
| (-0.82398556978138460773 + 2.4141007225410524842e-340j)  +/-  (1.68e-122, 1.68e-122j)
| (-2.412577939424603427e-348 - 2.0274434958274582976e-348j)  +/-  (5.99e-347, 5.99e-347j)
| (0.97087318261011350743 - 2.2946277050815355077e-356j)  +/-  (6.54e-122, 6.54e-122j)
| (0.57735026918962576451 - 1.5256813347698911923e-363j)  +/-  (9.58e-124, 9.58e-124j)
| (-0.99696950640141468823 - 5.8033537172037412638e-361j)  +/-  (3.05e-122, 3.05e-122j)
| (-0.91248695683407599658 + 8.4528373232377457458e-363j)  +/-  (5.05e-122, 5.05e-122j)
| (-0.97087318261011350743 + 2.0866929604100650065e-364j)  +/-  (6.24e-122, 6.24e-122j)
| (-0.15655801081562154215 - 4.796133080749762385e-370j)  +/-  (9.21e-127, 9.21e-127j)
| (0.82398556978138460773 + 7.2618853555876482593e-365j)  +/-  (1.74e-122, 1.74e-122j)
| (0.91248695683407599658 + 2.891025881885103013e-373j)  +/-  (4.54e-122, 4.54e-122j)
| (-0.57735026918962576451 + 2.4317993936370099603e-377j)  +/-  (8.63e-124, 8.63e-124j)
| (-0.43750999202829047817 - 1.0027551875626458731e-378j)  +/-  (1.18e-124, 1.18e-124j)
| (0.30008276830241539724 + 5.1656846907171466757e-378j)  +/-  (1.23e-125, 1.23e-125j)
| (0.70988099191371433882 - 9.5244279215057287135e-380j)  +/-  (5.17e-123, 5.17e-123j)
| (0.43750999202829047817 + 5.6785114847595059364e-384j)  +/-  (1.22e-124, 1.22e-124j)
| (0.15655801081562154215 + 9.43669999226543165e-389j)  +/-  (7e-127, 7e-127j)
| (-0.70988099191371433882 - 4.2098426687864008517e-406j)  +/-  (4.77e-123, 4.77e-123j)
-------------------------------------------------
The weights are:
| (0.010691607387934351865 + 5.5767142123011333476e-328j)  +/-  (1.54e-45, 4.21e-105j)
| (0.1375948166885381681 - 1.7164720147968074804e-328j)  +/-  (6.81e-46, 1.87e-105j)
| (0.10223824285589198788 - 2.5199628512305738821e-329j)  +/-  (2.27e-46, 6.23e-106j)
| (0.15949238328081710007 - 2.4120689770879067959e-328j)  +/-  (2.47e-46, 6.75e-106j)
| (0.04233567903306544035 - 7.85360324495344988e-328j)  +/-  (2.13e-46, 5.83e-106j)
| (0.13838306509109694718 - 2.5574246830816578427e-328j)  +/-  (5.78e-47, 1.58e-106j)
| (0.010691607387934351865 + 3.8387693348770952704e-330j)  +/-  (2.44e-47, 6.67e-107j)
| (0.074022406503568124989 + 1.6511640759619043846e-329j)  +/-  (3.01e-47, 8.24e-107j)
| (0.04233567903306544035 - 1.0414967332230642769e-329j)  +/-  (3.13e-47, 8.58e-107j)
| (0.15100612991231023147 + 2.096796812343448335e-328j)  +/-  (2.05e-47, 5.61e-107j)
| (0.10223824285589198788 - 2.652696681212448193e-328j)  +/-  (1.04e-48, 2.84e-108j)
| (0.074022406503568124989 + 3.7319256258445550794e-328j)  +/-  (1.53e-48, 4.18e-108j)
| (0.13838306509109694718 - 6.8165604686976069551e-329j)  +/-  (7.16e-49, 1.96e-108j)
| (0.1391775821255419045 + 1.1639186035821308567e-328j)  +/-  (7.86e-49, 2.15e-108j)
| (0.1375948166885381681 - 3.1947141616341955714e-328j)  +/-  (2.05e-49, 5.63e-109j)
| (0.12480427876164429364 + 2.3879280471205543288e-328j)  +/-  (1.04e-49, 2.84e-109j)
| (0.1391775821255419045 + 2.9843399420098056785e-328j)  +/-  (1.05e-49, 2.85e-109j)
| (0.15100612991231023147 + 2.878010157830359447e-328j)  +/-  (1.02e-49, 2.85e-109j)
| (0.12480427876164429364 + 4.0164426610464181075e-329j)  +/-  (2.01e-50, 4.82e-110j)
