Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 3 16
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Trying to find an order 3 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : t^5 - 7*t^3 + 6*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^21 - 6271857400507/32881952901*t^19 + 206152459514434/14092265529*t^17 - 57763451048348860/98645858703*t^15 + 62452961925501010/4697421843*t^13 - 819308151260356550/4697421843*t^11 + 6063870368512230560/4697421843*t^9 - 7870989430668910260/1565807281*t^7 + 13918253031092263425/1565807281*t^5 - 7842371094515732775/1565807281*t^3 + 26996705807192550/1565807281*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: 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:
| (4.7451599254253075838 - 3.2625685286091061845e-313j)  +/-  (1.21e-122, 1.21e-122j)
| (-6.5329894162586808018 - 1.7009515585774421925e-327j)  +/-  (7.79e-123, 7.79e-123j)
| (5.5950086140604474262 - 2.0452082585573379477e-351j)  +/-  (1.35e-122, 1.35e-122j)
| (-3.948805101605044647 - 1.3902447432305478631e-370j)  +/-  (6.44e-123, 6.44e-123j)
| (-4.7451599254253075838 - 5.0726128080768471528e-387j)  +/-  (1.11e-122, 1.11e-122j)
| (2.4494897427831780982 + 1.590402710420524078e-395j)  +/-  (6.39e-124, 6.39e-124j)
| (-3.1875533868632482179 + 4.1199534278080834978e-402j)  +/-  (2.38e-123, 2.38e-123j)
| (6.5329894162586808018 + 7.4043051823670577326e-410j)  +/-  (7.93e-123, 7.93e-123j)
| (7.6489069309781685366 - 1.1758409173255862123e-410j)  +/-  (1.78e-123, 1.78e-123j)
| (-5.5950086140604474262 - 6.7740854959852913931e-409j)  +/-  (1.25e-122, 1.25e-122j)
| (1.7248704321781271355 + 4.4873275764933459668e-417j)  +/-  (9.32e-125, 9.32e-125j)
| (-1.7248704321781271355 + 1.6579981478507373139e-415j)  +/-  (9.42e-125, 9.42e-125j)
| (-2.4494897427831780982 + 2.168489486063150435e-420j)  +/-  (5.96e-124, 5.96e-124j)
| (-7.6489069309781685366 + 1.6544261826043323021e-426j)  +/-  (1.94e-123, 1.94e-123j)
| (3.948805101605044647 + 4.6853866499536754649e-428j)  +/-  (7.01e-123, 7.01e-123j)
| (1 + 8.3740872995114266331e-430j)  +/-  (1.09e-125, 1.09e-125j)
| (2.3426933249768377324e-428 + 2.5581134008367768343e-428j)  +/-  (7.28e-427, 7.28e-427j)
| (3.1875533868632482179 - 1.20963421503383773e-431j)  +/-  (2.69e-123, 2.69e-123j)
| (-1 - 1.1073247994280545796e-432j)  +/-  (1.09e-125, 1.09e-125j)
| (-0.058852920496833905583 - 1.945933302445738957e-431j)  +/-  (1.32e-127, 1.32e-127j)
| (0.058852920496833905583 - 1.5664845260925632968e-434j)  +/-  (1.88e-127, 1.88e-127j)
-------------------------------------------------
The weights are:
| (4.2158702829435363454e-06 + 3.5259180908045546433e-318j)  +/-  (2.06e-47, 2.52e-108j)
| (2.158858689126308703e-10 + 6.6248334085492710989e-322j)  +/-  (8.44e-51, 1.03e-111j)
| (5.6320650758513401982e-08 + 1.6165432429438190761e-319j)  +/-  (4.28e-49, 5.22e-110j)
| (0.00012736121486722014282 - 1.0301142050763117466e-318j)  +/-  (4.46e-47, 5.43e-108j)
| (4.2158702829435363454e-06 + 1.4493258311622792588e-319j)  +/-  (1.75e-48, 2.13e-109j)
| (0.014493654052387919756 - 6.582033952752500509e-317j)  +/-  (5.38e-45, 6.55e-106j)
| (0.0018555431349734926466 + 5.280375407997813704e-318j)  +/-  (3.11e-46, 3.78e-107j)
| (2.158858689126308703e-10 - 4.1791379395228780611e-321j)  +/-  (9.14e-52, 1.11e-112j)
| (1.0083593309711337032e-13 + 4.9315549441443429414e-323j)  +/-  (1.65e-53, 2.01e-114j)
| (5.6320650758513401982e-08 - 1.3286216272893786627e-320j)  +/-  (8.1e-51, 9.87e-112j)
| (0.065024281510084808578 + 1.4961401199013516967e-316j)  +/-  (8.33e-46, 1.01e-106j)
| (0.065024281510084808578 + 6.9841655058901917589e-317j)  +/-  (3.28e-46, 4e-107j)
| (0.014493654052387919756 - 2.1001966437977461049e-317j)  +/-  (2.9e-47, 3.53e-108j)
| (1.0083593309711337032e-13 - 1.1553905645086974863e-323j)  +/-  (2.65e-54, 3.22e-115j)
| (0.00012736121486722014282 - 1.1245962986471397657e-317j)  +/-  (2.29e-50, 2.79e-111j)
| (0.1778637289654614848 - 3.4302183066553933071e-316j)  +/-  (2.07e-47, 2.52e-108j)
| (-11.517378886473974039 - 6.4572334243969438952e-314j)  +/-  (1.88e-46, 2.28e-107j)
| (0.0018555431349734926466 + 2.6892352629422692421e-317j)  +/-  (1.15e-49, 1.41e-110j)
| (0.1778637289654614848 - 2.2360937387822167008e-316j)  +/-  (6.93e-48, 8.46e-109j)
| (5.9993206019522916867 + 3.2088329020431176857e-314j)  +/-  (8.87e-47, 1.09e-107j)
| (5.9993206019522916867 + 3.2894290676263628279e-314j)  +/-  (8.38e-47, 1e-107j)
