Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3 16
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 4*t^5 - 14*t^3 + 6*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^21 - 12543714801014/32881952901*t^19 + 206152459514434/14092265529*t^17 - 28881725524174430/98645858703*t^15 + 31226480962750505/9394843686*t^13 - 409654075630178275/18789687372*t^11 + 378991898032014410/4697421843*t^9 - 1967747357667227565/12526458248*t^7 + 13918253031092263425/100211665984*t^5 - 7842371094515732775/200423331968*t^3 + 13498352903596275/200423331968*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:
| (4.6195211176564578476 + 2.3572449650153815411e-485j)  +/-  (5.53e-123, 5.53e-123j)
| (-4.6195211176564578476 + 1.5668805178795713511e-490j)  +/-  (5.64e-123, 5.64e-123j)
| (-5.4085939595594465875 + 1.2674731873605122265e-494j)  +/-  (1.36e-123, 1.36e-123j)
| (2.7922268649289608697 + 3.5051526531862077185e-496j)  +/-  (4.58e-123, 4.58e-123j)
| (3.9562685317992893249 + 1.0355764927815132584e-507j)  +/-  (1.03e-122, 1.03e-122j)
| (5.4085939595594465875 + 2.5673338709028265277e-512j)  +/-  (1.31e-123, 1.31e-123j)
| (-3.9562685317992893249 + 2.1712012284837185614e-510j)  +/-  (9.56e-123, 9.56e-123j)
| (-0.041615299175944010291 - 1.3747724727073578498e-517j)  +/-  (1.08e-127, 1.08e-127j)
| (-3.3553347610828871385 + 1.1791317746682338481e-517j)  +/-  (8.51e-123, 8.51e-123j)
| (4.1979939516833210356e-524 - 1.8909882665240184845e-524j)  +/-  (9.67e-523, 9.67e-523j)
| (1.2196675792613246064 - 1.0095119652016244514e-526j)  +/-  (6.7e-125, 6.7e-125j)
| (0.041615299175944010291 - 4.5181816003536118738e-527j)  +/-  (1.08e-127, 1.08e-127j)
| (-2.7922268649289608697 - 1.1089858271385650071e-524j)  +/-  (5.21e-123, 5.21e-123j)
| (-1.2196675792613246064 + 1.2834344191740164519e-527j)  +/-  (6.35e-125, 6.35e-125j)
| (3.3553347610828871385 - 1.9085845140500891013e-530j)  +/-  (9.05e-123, 9.05e-123j)
| (0.7071067811865475244 - 1.4835892237056240669e-540j)  +/-  (6.33e-126, 6.33e-126j)
| (2.2539406152451493278 - 6.2487658412500730511e-537j)  +/-  (1.83e-123, 1.83e-123j)
| (-1.7320508075688772935 - 3.6117929352540090626e-543j)  +/-  (4.1e-124, 4.1e-124j)
| (-0.7071067811865475244 + 2.4025940469257096709e-545j)  +/-  (6.33e-126, 6.33e-126j)
| (-2.2539406152451493278 - 1.3454526662783974157e-544j)  +/-  (2.02e-123, 2.02e-123j)
| (1.7320508075688772935 + 1.2092931241880121164e-552j)  +/-  (4.48e-124, 4.48e-124j)
-------------------------------------------------
The weights are:
| (2.158858689126308703e-10 - 2.4395058386014988728e-494j)  +/-  (1.95e-51, 1.16e-112j)
| (2.158858689126308703e-10 - 5.50648047009248204e-496j)  +/-  (7.68e-52, 4.57e-113j)
| (1.0083593309711337032e-13 + 9.7269381475920647148e-498j)  +/-  (3.26e-53, 1.94e-114j)
| (0.00012736121486722014282 + 3.3381832730162680532e-492j)  +/-  (1.18e-48, 7e-110j)
| (5.6320650758513401982e-08 + 1.4108014318848139031e-493j)  +/-  (4.2e-51, 2.5e-112j)
| (1.0083593309711337032e-13 - 1.2360667124614968376e-496j)  +/-  (6.9e-54, 4.1e-115j)
| (5.6320650758513401982e-08 + 1.0910222652651557514e-494j)  +/-  (2.94e-52, 1.75e-113j)
| (5.9993206019522916867 - 2.2525406334870829603e-488j)  +/-  (2.63e-44, 1.56e-105j)
| (4.2158702829435363454e-06 - 1.174686435222458475e-493j)  +/-  (1.1e-51, 6.57e-113j)
| (-11.517378886473974039 + 4.5176608159289690987e-488j)  +/-  (1.78e-44, 1.05e-105j)
| (0.065024281510084808578 - 9.0526363421027105836e-491j)  +/-  (2.1e-47, 1.25e-108j)
| (5.9993206019522916867 - 2.2934944725865600603e-488j)  +/-  (8.5e-45, 5.04e-106j)
| (0.00012736121486722014282 + 8.2297574811241343281e-493j)  +/-  (3.54e-51, 2.1e-112j)
| (0.065024281510084808578 - 5.2708359341513090292e-491j)  +/-  (2.7e-48, 1.59e-109j)
| (4.2158702829435363454e-06 - 7.4105674190919877779e-493j)  +/-  (3.37e-52, 1.97e-113j)
| (0.1778637289654614848 + 2.2364607976856119928e-490j)  +/-  (1.85e-48, 1.09e-109j)
| (0.0018555431349734926466 - 1.2060462131964601068e-491j)  +/-  (6.75e-51, 3.99e-112j)
| (0.014493654052387919756 + 1.6203102023456432418e-491j)  +/-  (1.36e-50, 8.32e-112j)
| (0.1778637289654614848 + 1.6426761942179783067e-490j)  +/-  (3.04e-49, 1.84e-110j)
| (0.0018555431349734926466 - 4.1506754607660706083e-492j)  +/-  (2.44e-51, 1.5e-112j)
| (0.014493654052387919756 + 3.5642396172822377299e-491j)  +/-  (8.27e-51, 4.22e-112j)
