Starting with polynomial:
P : t^5 - 10*t^3 + 15*t
Extension levels are: 5 18
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P1 : t^5 - 10*t^3 + 15*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 154028215/706483*t^21 + 97087532397/4945381*t^19 - 4731252474717/4945381*t^17 + 137523249357426/4945381*t^15 - 354412900309590/706483*t^13 + 4005523718729910/706483*t^11 - 27954730328291910/706483*t^9 + 115420594516104735/706483*t^7 - 257825863066755555/706483*t^5 + 259058096034598575/706483*t^3 - 74457659847574575/706483*t
-------------------------------------------------
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
Positive weights:   23 out of 23
Indefinite weights: 0 out of 23
Negative weights:   0 out of 23
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (2.8569700138728056542 + 3.4576636018486662594e-374j)  +/-  (2.97e-122, 2.97e-122j)
| (-5.0001564477958337975 + 2.2786312935587596566e-379j)  +/-  (4.51e-122, 4.51e-122j)
| (-3.4839739875057338667 + 3.6297315637170271981e-381j)  +/-  (2.73e-122, 2.73e-122j)
| (-6.7546434481980893584 - 1.8133861411660142021e-380j)  +/-  (1.91e-122, 1.91e-122j)
| (-5.8333618759850483093 - 1.8111186398450411002e-382j)  +/-  (3.57e-122, 3.57e-122j)
| (5.0001564477958337975 - 3.5075411058802669319e-383j)  +/-  (3.94e-122, 3.94e-122j)
| (6.7546434481980893584 - 1.3971218170367002703e-388j)  +/-  (1.92e-122, 1.92e-122j)
| (-7.8519963489727417488 - 1.1821410915697170179e-393j)  +/-  (4.35e-123, 4.35e-123j)
| (5.8333618759850483093 - 3.1931651219048876573e-391j)  +/-  (3.63e-122, 3.63e-122j)
| (4.2218401429968344112 - 1.4133888270164368369e-399j)  +/-  (3.62e-122, 3.62e-122j)
| (2.671345859595849675 - 1.078096715658463431e-409j)  +/-  (2.02e-122, 2.02e-122j)
| (7.8519963489727417488 - 5.3191023169608754563e-416j)  +/-  (3.6e-123, 3.6e-123j)
| (-2.8569700138728056542 - 2.5367371662116280903e-414j)  +/-  (3.09e-122, 3.09e-122j)
| (-1.3556261799742658658 - 2.4431648209644828234e-419j)  +/-  (7.36e-125, 7.36e-125j)
| (0.67637284529222136261 + 8.4997446613227887427e-420j)  +/-  (4.25e-126, 4.25e-126j)
| (-2.671345859595849675 - 2.2891847195381106373e-415j)  +/-  (2.12e-122, 2.12e-122j)
| (-4.2218401429968344112 - 6.4817506044356355971e-420j)  +/-  (3.3e-122, 3.3e-122j)
| (1.7395171125690082473e-426 + 2.3254597189080426043e-426j)  +/-  (6.68e-425, 6.68e-425j)
| (-2.038826179598624206 + 1.1123258701043127511e-423j)  +/-  (1.13e-123, 1.13e-123j)
| (-0.67637284529222136261 + 3.4857661025086395915e-427j)  +/-  (4.25e-126, 4.25e-126j)
| (3.4839739875057338667 - 9.4957169439061156088e-426j)  +/-  (2.67e-122, 2.67e-122j)
| (1.3556261799742658658 - 2.288838306011852957e-429j)  +/-  (7.15e-125, 7.15e-125j)
| (2.038826179598624206 + 3.0452315579292761292e-440j)  +/-  (1.25e-123, 1.25e-123j)
-------------------------------------------------
The weights are:
| (0.0022353376197031566388 - 4.8821217297357702869e-376j)  +/-  (4.35e-32, 5.5e-93j)
| (1.191624619778122611e-06 + 9.6030134315369948718e-381j)  +/-  (9.72e-38, 1.23e-98j)
| (0.00066208586673266750176 + 1.0857993086281605345e-378j)  +/-  (7.07e-35, 8.94e-96j)
| (4.8658054559760326741e-11 + 2.2888766761289111733e-383j)  +/-  (3.35e-41, 4.24e-102j)
| (1.4158496352114096554e-08 - 6.2198913269718522767e-382j)  +/-  (1.6e-39, 2.03e-100j)
| (1.191624619778122611e-06 - 3.5202535963091288911e-380j)  +/-  (8.69e-41, 1.1e-101j)
| (4.8658054559760326741e-11 - 5.6444514175313591474e-383j)  +/-  (6.52e-44, 8.25e-105j)
| (2.0554843234770831432e-14 - 2.9680385080505252042e-385j)  +/-  (1.99e-44, 2.52e-105j)
| (1.4158496352114096554e-08 + 1.8161237927479146736e-381j)  +/-  (1.46e-42, 1.84e-103j)
| (4.0696663602777153359e-05 + 5.515839972483324399e-379j)  +/-  (1.31e-40, 1.66e-101j)
| (0.0046992331789391184319 + 5.4854767571343314991e-376j)  +/-  (4.65e-38, 5.89e-99j)
| (2.0554843234770831432e-14 + 6.3633359902095777056e-385j)  +/-  (5.52e-46, 6.98e-107j)
| (0.0022353376197031566388 - 1.3526820723489424169e-377j)  +/-  (4.61e-40, 5.83e-101j)
| (0.10846502447883187455 + 1.5865239876117214301e-377j)  +/-  (2.41e-38, 3.05e-99j)
| (0.21497910121050010098 - 3.4987478428327562758e-377j)  +/-  (2.96e-38, 3.75e-99j)
| (0.0046992331789391184319 + 1.8418773832706397154e-377j)  +/-  (4.99e-40, 6.31e-101j)
| (4.0696663602777153359e-05 - 1.063544674635254459e-379j)  +/-  (1.69e-42, 2.14e-103j)
| (0.26963283663712047516 + 2.8140998193549388006e-377j)  +/-  (4.6e-39, 5.82e-100j)
| (0.034100896831335327527 - 1.2556665332149622976e-377j)  +/-  (4.5e-40, 5.69e-101j)
| (0.21497910121050010098 - 2.1592508236076210295e-377j)  +/-  (1.57e-39, 1.99e-100j)
| (0.00066208586673266750176 - 1.0980531488890848713e-377j)  +/-  (1.03e-42, 1.3e-103j)
| (0.10846502447883187455 + 4.4515844799723839647e-377j)  +/-  (8.7e-42, 1.15e-102j)
| (0.034100896831335327527 - 7.5138945467343089573e-377j)  +/-  (6.22e-42, 7.72e-103j)
