Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 18
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Trying to find an order 18 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^20 - 102461303/282952*t^18 + 7451164719/565904*t^16 - 70640397585/282952*t^14 + 1518998116545/565904*t^12 - 37776477764025/2263616*t^10 + 265885539384465/4527232*t^8 - 496894991077485/4527232*t^6 + 866285443848825/9054464*t^4 - 2135714078472975/72435712*t^2 + 196133364001575/144871424
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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
Positive weights:   20 out of 20
Indefinite weights: 0 out of 20
Negative weights:   0 out of 20
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (2.7052648178933960443 - 1.2441544654779162912e-265j)  +/-  (4.55e-123, 4.55e-123j)
| (-5.2872058453608530371 + 1.1357300987201037225e-269j)  +/-  (9.13e-124, 9.13e-124j)
| (5.2872058453608530371 + 4.5919631936061602341e-275j)  +/-  (9.87e-124, 9.87e-124j)
| (2.1803948316184863877 - 4.9783876146897253153e-276j)  +/-  (1.57e-123, 1.57e-123j)
| (-3.2576607103870051686 + 5.4192712454642623917e-289j)  +/-  (7.71e-123, 7.71e-123j)
| (-2.7052648178933960443 + 5.9183788857390798164e-314j)  +/-  (3.92e-123, 3.92e-123j)
| (-1.6756738055891835074 - 2.6511655146017388785e-334j)  +/-  (3.36e-124, 3.36e-124j)
| (4.5054301062965769549 + 8.6911978306231283138e-341j)  +/-  (4.61e-123, 4.61e-123j)
| (1.1859797069588630367 - 4.7205658479116374894e-342j)  +/-  (6.25e-125, 6.25e-125j)
| (3.2576607103870051686 + 2.7777265793894941344e-342j)  +/-  (7.01e-123, 7.01e-123j)
| (1.6756738055891835074 - 4.355012485525437981e-346j)  +/-  (3.71e-124, 3.71e-124j)
| (-3.8497880805457045645 - 7.0185282217345521221e-354j)  +/-  (7.18e-123, 7.18e-123j)
| (-0.7071067811865475244 + 4.2541503264293210818e-360j)  +/-  (7.07e-126, 7.07e-126j)
| (-0.23493761725788607371 - 3.9134008708887472622e-363j)  +/-  (5.89e-127, 5.89e-127j)
| (0.23493761725788607371 + 6.0083464457938646824e-364j)  +/-  (5.89e-127, 5.89e-127j)
| (0.7071067811865475244 + 1.8454839931217880828e-364j)  +/-  (6.82e-126, 6.82e-126j)
| (3.8497880805457045645 - 1.410629365240712492e-367j)  +/-  (7.9e-123, 7.9e-123j)
| (-2.1803948316184863877 + 6.3283602658421534341e-369j)  +/-  (1.49e-123, 1.49e-123j)
| (-1.1859797069588630367 - 4.5779788481352970521e-376j)  +/-  (6.25e-125, 6.25e-125j)
| (-4.5054301062965769549 + 4.8676719882910031956e-380j)  +/-  (4.45e-123, 4.45e-123j)
-------------------------------------------------
The weights are:
| (0.00020097018754605091191 + 7.2638694614792162e-269j)  +/-  (5.73e-49, 9.62e-110j)
| (3.6625904871437925247e-13 - 8.4056728161808493123e-275j)  +/-  (4.4e-55, 7.38e-116j)
| (3.6625904871437925247e-13 - 2.6020002343045277362e-274j)  +/-  (6.08e-55, 1.02e-115j)
| (0.0024976929510389292689 - 1.8653614114148508941e-268j)  +/-  (8.43e-48, 1.42e-108j)
| (7.9089497246688416235e-06 + 7.4601544063619271297e-271j)  +/-  (8.18e-52, 1.37e-112j)
| (0.00020097018754605091191 - 4.6213211980237112441e-270j)  +/-  (1.13e-50, 1.89e-111j)
| (0.0168991677377016696 - 6.4092724362871151073e-269j)  +/-  (2.96e-48, 4.96e-109j)
| (6.0517975552227322182e-10 + 1.7221283927151630984e-272j)  +/-  (1.55e-54, 2.59e-115j)
| (0.066844409070315246134 - 3.9991877554609531631e-268j)  +/-  (5.47e-48, 9.22e-109j)
| (7.9089497246688416235e-06 + 8.0529827591846687857e-270j)  +/-  (1.7e-52, 2.86e-113j)
| (0.0168991677377016696 + 2.7271634086699276028e-268j)  +/-  (1.04e-49, 1.73e-110j)
| (1.2764522407333719577e-07 - 7.7110011510169613065e-272j)  +/-  (1.39e-54, 2.42e-115j)
| (0.16248073894066201371 - 2.9573860613471407257e-268j)  +/-  (1.23e-48, 2.01e-109j)
| (0.25106898391224133363 + 4.4152670823197831478e-268j)  +/-  (7.48e-49, 1.22e-109j)
| (0.25106898391224133363 - 5.2550848465229238388e-268j)  +/-  (5.21e-49, 8.51e-110j)
| (0.16248073894066201371 + 5.0505015335971032891e-268j)  +/-  (3.5e-49, 5.73e-110j)
| (1.2764522407333719577e-07 - 4.4163385370346243566e-271j)  +/-  (8.31e-54, 1.38e-114j)
| (0.0024976929510389292689 + 2.0039713765444868509e-269j)  +/-  (4.08e-52, 6.43e-113j)
| (0.066844409070315246134 + 1.5614301150495634496e-268j)  +/-  (5.56e-51, 7.56e-112j)
| (6.0517975552227322182e-10 + 4.2993298241562217933e-273j)  +/-  (4.69e-56, 8.63e-117j)
