Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 20
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Trying to find an order 20 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^22 - 2363181614/5060457*t^20 + 113450524465/5060457*t^18 - 649682892835/1124546*t^16 + 9847192205525/1124546*t^14 - 181074366537155/2249092*t^12 + 2012228184271305/4498184*t^10 - 13066960735503675/8996368*t^8 + 92387182004842725/35985472*t^6 - 155509398101932875/71970944*t^4 + 94224095717476725/143941888*t^2 - 8649322961253975/287883776
-------------------------------------------------
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:
| (-3.7299268395214693487 - 1.6002728964732670246e-477j)  +/-  (3.19e-122, 3.19e-122j)
| (2.6588950923480691058 - 3.9612010931668850138e-484j)  +/-  (1.06e-122, 1.06e-122j)
| (5.7420184136196614094 + 1.0285465192265988896e-486j)  +/-  (2.56e-123, 2.56e-123j)
| (3.1813615006988979167 + 1.8141563161146585146e-484j)  +/-  (2.04e-122, 2.04e-122j)
| (-4.3171050031909214531 + 8.4991657633061413619e-487j)  +/-  (2.79e-122, 2.79e-122j)
| (-5.7420184136196614094 - 2.047499638611926553e-489j)  +/-  (2.82e-123, 2.82e-123j)
| (-2.1548568221159978848 + 1.4171728574326899826e-492j)  +/-  (2.38e-123, 2.38e-123j)
| (4.9669129495130888888 - 6.6482414526149799113e-497j)  +/-  (1.41e-122, 1.41e-122j)
| (-3.1813615006988979167 - 8.3885620205169956506e-503j)  +/-  (2.11e-122, 2.11e-122j)
| (2.1548568221159978848 + 6.0201513447031970754e-505j)  +/-  (2.38e-123, 2.38e-123j)
| (1.6640073196733117201 + 8.4299560114144237174e-507j)  +/-  (6.46e-124, 6.46e-124j)
| (4.3171050031909214531 - 1.4295951802762337635e-507j)  +/-  (2.66e-122, 2.66e-122j)
| (-4.9669129495130888888 + 3.7910082736867787701e-511j)  +/-  (1.42e-122, 1.42e-122j)
| (-0.23531522719079604564 - 2.3959376026750827911e-519j)  +/-  (7.93e-127, 7.93e-127j)
| (-2.6588950923480691058 - 7.2846314072712781197e-520j)  +/-  (9.84e-123, 9.84e-123j)
| (3.7299268395214693487 - 2.819148340676224224e-524j)  +/-  (2.96e-122, 2.96e-122j)
| (1.1824573980870984249 + 3.2409027419430199613e-527j)  +/-  (9.48e-125, 9.48e-125j)
| (-1.6640073196733117201 + 3.1562637814459325454e-527j)  +/-  (6.58e-124, 6.58e-124j)
| (-0.7071067811865475244 - 6.9622946409430538697e-533j)  +/-  (1.05e-125, 1.05e-125j)
| (-1.1824573980870984249 + 6.0743181423418947646e-539j)  +/-  (9.42e-125, 9.42e-125j)
| (0.23531522719079604564 + 3.9133164806423819728e-539j)  +/-  (7.93e-127, 7.93e-127j)
| (0.7071067811865475244 - 1.2127677415688369563e-547j)  +/-  (8.93e-126, 8.93e-126j)
-------------------------------------------------
The weights are:
| (2.8943441332544042102e-07 - 1.7105725139611687119e-483j)  +/-  (2.23e-46, 4.2e-107j)
| (0.00024577897477210527533 + 2.0450422986231233051e-483j)  +/-  (1.1e-43, 2.07e-104j)
| (2.4086304852037063482e-15 - 4.9499528633767033756e-489j)  +/-  (4.54e-51, 8.54e-112j)
| (1.2117273993931316208e-05 - 4.2570408562702755097e-484j)  +/-  (1.79e-45, 3.37e-106j)
| (2.784090915321282171e-09 - 7.9231895386404269263e-485j)  +/-  (7.75e-49, 1.46e-109j)
| (2.4086304852037063482e-15 - 2.3302514968637266759e-488j)  +/-  (7.62e-52, 1.43e-112j)
| (0.0026972386873166130665 + 2.7173189988399261309e-482j)  +/-  (7.82e-45, 1.47e-105j)
| (7.5782259317752692974e-12 + 2.882208018929616712e-487j)  +/-  (9.83e-51, 1.85e-111j)
| (1.2117273993931316208e-05 + 5.3638243701073091845e-483j)  +/-  (3.46e-47, 6.49e-108j)
| (0.0026972386873166130665 - 7.2735843534161400948e-483j)  +/-  (1.66e-45, 3.12e-106j)
| (0.017187176300694859707 + 1.9863171062081784634e-482j)  +/-  (9.42e-45, 1.77e-105j)
| (2.784090915321282171e-09 - 5.7811802940268869938e-486j)  +/-  (4.88e-50, 9.17e-111j)
| (7.5782259317752692974e-12 + 2.0264466332877557714e-486j)  +/-  (1.4e-51, 2.64e-112j)
| (0.2513241347585130496 + 1.1584659151664393665e-481j)  +/-  (4.33e-46, 8.13e-107j)
| (0.00024577897477210527533 - 1.2197280437046173482e-482j)  +/-  (7.63e-48, 1.44e-108j)
| (2.8943441332544042102e-07 + 6.2085037956085465522e-485j)  +/-  (3.58e-49, 6.72e-110j)
| (0.06661963648152109467 - 4.2680101344522201928e-482j)  +/-  (1.46e-46, 2.72e-107j)
| (0.017187176300694859707 - 5.1858960708375565311e-482j)  +/-  (3.13e-47, 5.91e-108j)
| (0.16191362529710347104 - 1.0770417260903524706e-481j)  +/-  (1.02e-46, 1.92e-107j)
| (0.06661963648152109467 + 8.2299947445318043925e-482j)  +/-  (5.46e-47, 1.03e-107j)
| (0.2513241347585130496 - 1.020972309342907106e-481j)  +/-  (3.33e-47, 6.58e-108j)
| (0.16191362529710347104 + 7.3376481927857772721e-482j)  +/-  (3.47e-47, 6.13e-108j)
