Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 33
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Trying to find an order 33 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^35 - 3027161483913075358/2646128196800447*t^33 + 383516814599637679752/2646128196800447*t^31 - 918620783306873530620/85358974090337*t^29 + 44581313653318632739395/85358974090337*t^27 - 2986492103277703052747715/170717948180674*t^25 + 71084399702310952179747525/170717948180674*t^23 - 2439877670876838570617564325/341435896361348*t^21 + 242609014013866036307546650875/2731487170890784*t^19 - 4351586579127616431304731904875/5462974341781568*t^17 + 818720378398355634553215488625/160675715934752*t^15 - 7322541936543158018070534782625/321351431869504*t^13 + 88790334303417068363912164168875/1285405727478016*t^11 - 348563022211347656700761976076875/2570811454956032*t^9 + 413324524365537393712547045476875/2570811454956032*t^7 - 529895228243078920333760170396875/5141622909912064*t^5 + 2405680611872027447349772385630625/82265966558593024*t^3 - 381509132210940051711307750460625/164531933117186048*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: 0
  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:
| (-4.195090214735122609 - 6.3804945690741670419e-417j)  +/-  (2.55e-119, 2.55e-119j)
| (0.7071067811865475244 - 2.9402298397986540119e-423j)  +/-  (4e-125, 4e-125j)
| (-7.4058606135005497671 + 2.8975840752289956516e-421j)  +/-  (3.32e-121, 3.32e-121j)
| (-6.7002655693408725643 + 1.7551522368765638086e-418j)  +/-  (2.76e-120, 2.76e-120j)
| (-5.585896125090622725 + 6.5218597539765526082e-417j)  +/-  (2.18e-119, 2.18e-119j)
| (6.1128545816532752521 - 8.4505493149509456664e-417j)  +/-  (1.12e-119, 1.12e-119j)
| (5.097396243257010419 - 9.347156469828048196e-417j)  +/-  (3.03e-119, 3.03e-119j)
| (-5.097396243257010419 - 2.8134929012195826494e-420j)  +/-  (3.64e-119, 3.64e-119j)
| (5.585896125090622725 - 3.3273102466525869382e-421j)  +/-  (2.28e-119, 2.28e-119j)
| (7.4058606135005497671 - 2.0817377524297688641e-428j)  +/-  (3.4e-121, 3.4e-121j)
| (4.6360480444599330835 - 6.4747764552806092619e-426j)  +/-  (3.5e-119, 3.5e-119j)
| (3.770093161356562192 + 3.512965234563031888e-441j)  +/-  (1.46e-119, 1.46e-119j)
| (-1.4312819708247757583 - 1.2984049557416697824e-455j)  +/-  (4.09e-123, 4.09e-123j)
| (-6.1128545816532752521 - 3.060901244501491942e-452j)  +/-  (1.19e-119, 1.19e-119j)
| (4.195090214735122609 + 6.7749515861974188748e-459j)  +/-  (2.61e-119, 2.61e-119j)
| (-3.3579804473571921856 + 3.4705494592980807305e-462j)  +/-  (6.82e-120, 6.82e-120j)
| (6.7002655693408725643 + 9.0894574498131181596e-467j)  +/-  (2.91e-120, 2.91e-120j)
| (3.3579804473571921856 - 9.4920863351702646674e-467j)  +/-  (7.02e-120, 7.02e-120j)
| (-0.7071067811865475244 - 5.5580438959567639667e-478j)  +/-  (4.83e-125, 4.83e-125j)
| (-3.770093161356562192 + 2.798941508366114768e-472j)  +/-  (1.44e-119, 1.44e-119j)
| (1.4312819708247757583 - 4.289892792899911162e-477j)  +/-  (3.9e-123, 3.9e-123j)
| (1.06642961438854207 + 1.6294379779678379293e-477j)  +/-  (4.79e-124, 4.79e-124j)
| (-2.1796502802829712169 - 3.5229898060240933441e-475j)  +/-  (1.72e-121, 1.72e-121j)
| (-2.5641519985668530745 - 1.4333908107048834368e-473j)  +/-  (8.09e-121, 8.09e-121j)
| (1.8022128229600868459 + 1.0880132892669471498e-476j)  +/-  (3.07e-122, 3.07e-122j)
| (-1.8022128229600868459 - 9.2699325105808556416e-476j)  +/-  (3.32e-122, 3.32e-122j)
| (0.35225925147232810471 + 5.4018393969105748491e-481j)  +/-  (4.05e-126, 4.05e-126j)
| (2.5641519985668530745 + 5.4423355987559042453e-474j)  +/-  (7.65e-121, 7.65e-121j)
| (-0.35225925147232810471 - 1.1537282383082278297e-483j)  +/-  (3.04e-126, 3.04e-126j)
| (-1.06642961438854207 - 6.6417905726263564307e-480j)  +/-  (4.61e-124, 4.61e-124j)
| (-4.6360480444599330835 + 1.1658677368942669673e-477j)  +/-  (3.55e-119, 3.55e-119j)
| (2.9565386726245590112 + 4.3713183043060473789e-480j)  +/-  (2.58e-120, 2.58e-120j)
| (2.1796502802829712169 + 5.2879160427942500365e-482j)  +/-  (1.77e-121, 1.77e-121j)
| (-2.9565386726245590112 - 3.2929403772339803348e-482j)  +/-  (2.65e-120, 2.65e-120j)
| (-6.8320526667406979531e-550 - 3.5466101010931117191e-550j)  +/-  (2.69e-548, 2.69e-548j)
-------------------------------------------------
The weights are:
| (5.5492004806203584423e-09 - 1.5573306010041227113e-424j)  +/-  (1.13e-26, 2.34e-85j)
| (0.12211222575893706316 + 8.1376146903201663112e-422j)  +/-  (1.51e-24, 3.12e-83j)
| (6.9467308652213281817e-25 + 7.4175908661319511377e-434j)  +/-  (2.01e-35, 4.14e-94j)
| (1.1332482368756187745e-20 - 1.3342399846054490149e-431j)  +/-  (5.39e-34, 1.11e-92j)
| (8.0166846037457118258e-15 - 2.3496464344776170718e-428j)  +/-  (1.15e-31, 2.37e-90j)
| (1.8412315737409142243e-17 - 1.7950421323542493451e-430j)  +/-  (5.61e-36, 1.16e-94j)
| (1.3877147128812617866e-12 + 1.7735081426698001089e-428j)  +/-  (7.14e-34, 1.47e-92j)
| (1.3877147128812617866e-12 + 5.2230147974812553432e-427j)  +/-  (3.27e-32, 6.76e-91j)
| (8.0166846037457118258e-15 + 5.221579081597379456e-429j)  +/-  (5.18e-35, 1.07e-93j)
| (6.9467308652213281817e-25 - 2.3163729246859853786e-434j)  +/-  (5.21e-40, 1.07e-98j)
| (1.1765970001414842187e-10 + 2.5271148244114053831e-427j)  +/-  (1.56e-33, 3.22e-92j)
| (1.5843191329617477942e-07 + 2.1674030371542925054e-425j)  +/-  (1.67e-32, 3.45e-91j)
| (0.026753455170325584269 + 5.6844505011773381049e-422j)  +/-  (1.5e-24, 3.09e-83j)
| (1.8412315737409142243e-17 + 7.6627894940916366861e-430j)  +/-  (1.8e-37, 3.71e-96j)
| (5.5492004806203584423e-09 - 3.1355890317638846622e-426j)  +/-  (2.68e-33, 5.53e-92j)
| (2.9062234124376923897e-06 - 1.1620873244085593419e-423j)  +/-  (4.87e-33, 1.01e-91j)
| (1.1332482368756187745e-20 + 3.613899462616074938e-432j)  +/-  (2.96e-39, 6.11e-98j)
| (2.9062234124376923897e-06 - 1.1344709727823829633e-424j)  +/-  (1.09e-32, 2.25e-91j)
| (0.12211222575893706316 + 1.1581940510902491594e-421j)  +/-  (1.97e-27, 4.07e-86j)
| (1.5843191329617477942e-07 + 4.8684216496721345663e-424j)  +/-  (6.65e-34, 1.37e-92j)
| (0.026753455170325584269 + 2.6841207905323668066e-422j)  +/-  (9.92e-29, 2.04e-87j)
| (0.065491449848568403106 - 4.9769187963365005646e-422j)  +/-  (2.88e-27, 5.94e-86j)
| (0.001857415642696232977 + 1.6556667418805480814e-422j)  +/-  (1.84e-31, 3.8e-90j)
| (0.00030558994844210035513 - 7.4657915869773804803e-423j)  +/-  (1.96e-32, 4.03e-91j)
| (0.0082006078275003587507 - 1.2423310682667625816e-422j)  +/-  (3.47e-31, 7.05e-90j)
| (0.0082006078275003587507 - 3.2650020225001992949e-422j)  +/-  (2.75e-31, 5.71e-90j)
| (0.17599986850430705011 - 1.1307303055965480013e-421j)  +/-  (2.57e-29, 5.25e-88j)
| (0.00030558994844210035513 - 1.6731376172297519769e-423j)  +/-  (2.22e-33, 4.52e-92j)
| (0.17599986850430705011 - 1.336506918799962124e-421j)  +/-  (8.89e-30, 1.85e-88j)
| (0.065491449848568403106 - 8.6882157126416235051e-422j)  +/-  (2.04e-30, 4.26e-89j)
| (1.1765970001414842187e-10 - 1.072144935289080607e-425j)  +/-  (8.26e-37, 1.7e-95j)
| (3.5780895978410810971e-05 + 4.7845541619101327714e-424j)  +/-  (4.14e-34, 8.36e-93j)
| (0.001857415642696232977 + 4.9361152536383364327e-423j)  +/-  (5.09e-33, 1.01e-91j)
| (3.5780895978410810971e-05 + 3.0381683736704793226e-423j)  +/-  (1.84e-34, 4.48e-93j)
| (0.19848107215932626427 + 1.3263248952425757389e-421j)  +/-  (1.28e-31, 2.09e-90j)
