Starting with polynomial:
P : t^3 - 3*t
Extension levels are: 3 6 10
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Trying to find an order 6 Kronrod extension for:
P1 : t^3 - 3*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : t^9 - 117/4*t^7 + 945/4*t^5 - 2205/4*t^3 + 945/4*t
Solvable: 1
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Ending with final polynomial:
P : t^19 - 23713751/205892*t^17 + 2134183615/411784*t^15 - 48885080515/411784*t^13 + 623352876985/411784*t^11 - 4536269518165/411784*t^9 + 18427952550645/411784*t^7 - 38805894891225/411784*t^5 + 36681698574675/411784*t^3 - 11110847880825/411784*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
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The nodes are:
| (2.5960831150492021594 + 3.0319167272581097015e-370j)  +/-  (4.59e-123, 4.59e-123j)
| (6.3633944943363699876 - 3.103031437556495361e-376j)  +/-  (4.82e-124, 4.82e-124j)
| (-6.3633944943363699876 + 1.0074777394663945977e-376j)  +/-  (3.88e-124, 3.88e-124j)
| (-3.2053337944991945187 - 1.3499234530219799871e-373j)  +/-  (8.71e-123, 8.71e-123j)
| (1.7320508075688772935 + 4.191514624044557984e-384j)  +/-  (2.55e-124, 2.55e-124j)
| (5.187016039913656066 + 3.0294522782842872579e-398j)  +/-  (1.61e-123, 1.61e-123j)
| (-1.2304236340273060078 + 3.5274095639960580409e-419j)  +/-  (4.99e-125, 4.99e-125j)
| (4.1849560176727318607 - 1.099107175684618182e-433j)  +/-  (2.57e-123, 2.57e-123j)
| (-1.7320508075688772935 - 1.6408586228198964617e-439j)  +/-  (2.41e-124, 2.41e-124j)
| (-4.1849560176727318607 + 8.7584592841626804e-447j)  +/-  (2.7e-123, 2.7e-123j)
| (1.2304236340273060078 + 1.2156923954319553784e-448j)  +/-  (4.99e-125, 4.99e-125j)
| (3.2053337944991945187 + 4.3993011112742130092e-447j)  +/-  (8.31e-123, 8.31e-123j)
| (-5.187016039913656066 - 4.3587020031340839178e-448j)  +/-  (1.59e-123, 1.59e-123j)
| (-2.8612795760570581173 + 2.722421094160566491e-446j)  +/-  (1.06e-122, 1.06e-122j)
| (2.8612795760570581173 + 1.4620597010610919735e-449j)  +/-  (1.09e-122, 1.09e-122j)
| (0.74109534999454084186 - 7.2390219811830422211e-454j)  +/-  (6.33e-126, 6.33e-126j)
| (7.5043947821759301871e-456 - 1.4791270875013427615e-455j)  +/-  (3.15e-454, 3.15e-454j)
| (-2.5960831150492021594 + 1.0121024318825130241e-469j)  +/-  (4.74e-123, 4.74e-123j)
| (-0.74109534999454084186 + 5.3086271960082523333e-486j)  +/-  (6.33e-126, 6.33e-126j)
-------------------------------------------------
The weights are:
| (0.018085234254798452772 + 1.1795417596970843422e-371j)  +/-  (1.03e-44, 3.57e-106j)
| (8.629684602229885768e-10 - 1.830282258374995668e-378j)  +/-  (5.74e-52, 1.98e-113j)
| (8.629684602229885768e-10 + 7.688577276063591124e-379j)  +/-  (9.08e-53, 3.13e-114j)
| (0.0028848804365067512912 - 1.7154593431905740713e-373j)  +/-  (7.39e-48, 2.55e-109j)
| (0.064096054686807588711 + 9.6796079360609830015e-372j)  +/-  (1.43e-43, 4.92e-105j)
| (6.0948087314689834604e-07 + 1.8771833911941966848e-376j)  +/-  (8.45e-51, 2.92e-112j)
| (0.061151730125247677114 - 4.1777184833805146157e-372j)  +/-  (1.5e-43, 5.18e-105j)
| (6.0123369459847818499e-05 - 9.743422437408338175e-375j)  +/-  (1.51e-49, 5.21e-111j)
| (0.064096054686807588711 + 1.9344741379861498311e-372j)  +/-  (9.72e-46, 3.35e-107j)
| (6.0123369459847818499e-05 + 2.2769153689842199583e-375j)  +/-  (6.49e-51, 2.24e-112j)
| (0.061151730125247677114 - 1.1698184776455101891e-371j)  +/-  (1.88e-45, 6.5e-107j)
| (0.0028848804365067512912 + 1.6106594091419194808e-372j)  +/-  (1.05e-48, 3.64e-110j)
| (6.0948087314689834604e-07 - 6.240022853979985544e-377j)  +/-  (1.36e-52, 4.69e-114j)
| (-0.0063372247933737358541 + 8.3865821604589195204e-373j)  +/-  (3.17e-49, 1.09e-110j)
| (-0.0063372247933737358541 - 1.7150127346853201308e-371j)  +/-  (9.98e-49, 3.46e-110j)
| (0.20832499164960887781 + 8.4802913760935074269e-372j)  +/-  (1.38e-47, 4.8e-109j)
| (0.30346719985420586643 - 4.790015158891436391e-372j)  +/-  (5.34e-48, 1.85e-109j)
| (0.018085234254798452772 - 1.0596419465062265276e-372j)  +/-  (3.25e-49, 1.12e-110j)
| (0.20832499164960887781 + 4.7154672244886182923e-372j)  +/-  (3.22e-48, 1.07e-109j)
