Starting with polynomial:
P : 2*t
Extension levels are: 1 2 6 10
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Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P3 : 2*t^9 - 117/4*t^7 + 945/8*t^5 - 2205/16*t^3 + 945/32*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^19 - 23713751/205892*t^17 + 2134183615/823568*t^15 - 48885080515/1647136*t^13 + 623352876985/3294272*t^11 - 4536269518165/6588544*t^9 + 18427952550645/13177088*t^7 - 38805894891225/26354176*t^5 + 36681698574675/52708352*t^3 - 11110847880825/105416704*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
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The nodes are:
| (2.2665132620567880275 - 5.7446670053011852115e-309j)  +/-  (5.67e-123, 5.67e-123j)
| (4.4995993983103888029 + 2.2607926263288133445e-334j)  +/-  (3.26e-124, 3.26e-124j)
| (-3.66777421594633786 + 4.2707219212894617621e-346j)  +/-  (1.18e-123, 1.18e-123j)
| (-4.4995993983103888029 - 8.9563309228682852291e-356j)  +/-  (3.25e-124, 3.25e-124j)
| (3.66777421594633786 + 1.3846668615859754523e-367j)  +/-  (1.36e-123, 1.36e-123j)
| (1.8357079751751868738 + 1.8810268585374152066e-380j)  +/-  (3.15e-123, 3.15e-123j)
| (-2.0232301911005156592 + 1.2455894212390650467e-390j)  +/-  (7.6e-123, 7.6e-123j)
| (-0.52403354748695764515 - 1.2482738811986319972e-392j)  +/-  (4.04e-126, 4.04e-126j)
| (-2.9592107790638377223 + 3.3387970747113947237e-393j)  +/-  (1.97e-123, 1.97e-123j)
| (-1.8357079751751868738 - 5.7268479137428278007e-392j)  +/-  (3.08e-123, 3.08e-123j)
| (1.2247448713915890491 + 6.006031749537790656e-391j)  +/-  (1.84e-124, 1.84e-124j)
| (2.9592107790638377223 + 3.3974667275829066607e-399j)  +/-  (1.98e-123, 1.98e-123j)
| (-1.6007735260620604375e-412 + 2.1707459179174910478e-412j)  +/-  (5.12e-411, 5.12e-411j)
| (-1.2247448713915890491 - 2.7285912376057848366e-414j)  +/-  (1.69e-124, 1.69e-124j)
| (2.0232301911005156592 + 2.0858564127475332973e-412j)  +/-  (7.07e-123, 7.07e-123j)
| (0.87004089535290290013 + 9.7694969033574225326e-422j)  +/-  (3.74e-125, 3.74e-125j)
| (0.52403354748695764515 - 7.0037375063583400788e-425j)  +/-  (4.48e-126, 4.48e-126j)
| (-2.2665132620567880275 + 5.5147539420144410069e-426j)  +/-  (5.62e-123, 5.62e-123j)
| (-0.87004089535290290013 - 1.2655929456771422233e-427j)  +/-  (3.69e-125, 3.69e-125j)
-------------------------------------------------
The weights are:
| (0.0028848804365067512912 + 1.4395764252017851701e-310j)  +/-  (7.22e-47, 8.49e-109j)
| (8.629684602229885768e-10 + 5.2154139056949717635e-317j)  +/-  (2.12e-52, 2.49e-114j)
| (6.0948087314689834604e-07 + 1.3842804964415959062e-315j)  +/-  (1.06e-51, 1.25e-113j)
| (8.629684602229885768e-10 - 1.7212939057091707752e-317j)  +/-  (2.73e-53, 3.21e-115j)
| (6.0948087314689834604e-07 - 5.8623758788648967429e-315j)  +/-  (1.69e-51, 1.99e-113j)
| (0.018085234254798452772 + 2.1494974871990699704e-310j)  +/-  (3.36e-47, 3.95e-109j)
| (-0.0063372247933737358541 - 1.7905557492913793915e-311j)  +/-  (5.13e-49, 6.03e-111j)
| (0.20832499164960887781 - 9.5182708894647733938e-311j)  +/-  (1.43e-47, 1.67e-109j)
| (6.0123369459847818499e-05 - 5.0034302046052942389e-314j)  +/-  (2.79e-51, 3.28e-113j)
| (0.018085234254798452772 + 2.2573499284229640135e-311j)  +/-  (1.07e-48, 1.25e-110j)
| (0.064096054686807588711 - 1.3556980399485346895e-310j)  +/-  (5.47e-48, 6.43e-110j)
| (6.0123369459847818499e-05 + 3.7745978390751009305e-313j)  +/-  (1.28e-51, 1.5e-113j)
| (0.30346719985420586643 + 9.2626274957642890984e-311j)  +/-  (5.68e-48, 6.66e-110j)
| (0.064096054686807588711 - 4.0453134982321487182e-311j)  +/-  (1.8e-49, 2.1e-111j)
| (-0.0063372247933737358541 - 3.1572376872932726271e-310j)  +/-  (4.61e-49, 5.42e-111j)
| (0.061151730125247677114 + 1.9317550200093771511e-310j)  +/-  (6.55e-49, 7.73e-111j)
| (0.20832499164960887781 - 1.5243322628594415509e-310j)  +/-  (7.79e-49, 9.14e-111j)
| (0.0028848804365067512912 + 3.655985106127294869e-312j)  +/-  (6.64e-51, 7.89e-113j)
| (0.061151730125247677114 + 8.600656546330581292e-311j)  +/-  (1.28e-49, 1.38e-111j)
