Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 27
-------------------------------------------------
Trying to find an order 27 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^29 - 1794129631/172015250*t^27 + 147734260128/4558404125*t^25 - 184044860181/3099714805*t^23 + 40158635283/563584510*t^21 - 311833776969/5297694394*t^19 + 2266818889023/66221179925*t^17 - 16519629682998/1172504421025*t^15 + 11178531190359/2747010357830*t^13 - 2214964470771/2747010357830*t^11 + 1070195994582/10163938323971*t^9 - 2155702278483/254098458099275*t^7 + 2111255634267/5590166078184050*t^5 - 262696196457/34659029684741110*t^3 + 5187512943/121306603896593885*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
-------------------------------------------------
The nodes are:
| (-0.99649008715867382827 - 4.0425124846073133027e-429j)  +/-  (8.14e-119, 8.14e-119j)
| (-0.9548836545980548815 + 2.4713033507517190046e-445j)  +/-  (2.3e-118, 2.3e-118j)
| (-0.91680745829004508692 - 1.5906199963369342673e-451j)  +/-  (1.67e-118, 1.67e-118j)
| (-6.816121827644203334e-468 - 1.0479462170059112574e-467j)  +/-  (3.63e-466, 3.63e-466j)
| (0.91680745829004508692 + 4.8735967895943533103e-458j)  +/-  (1.67e-118, 1.67e-118j)
| (0.9548836545980548815 - 2.4439333118138717904e-457j)  +/-  (2.2e-118, 2.2e-118j)
| (0.99649008715867382827 + 1.7060495795120955782e-457j)  +/-  (8.69e-119, 8.69e-119j)
| (-0.86781036259088164346 + 5.4677008010678817193e-459j)  +/-  (8.63e-119, 8.63e-119j)
| (-0.98155506310991579427 - 1.780729025447840416e-465j)  +/-  (1.99e-118, 1.99e-118j)
| (0.98155506310991579427 - 5.3171267965466579881e-467j)  +/-  (2.14e-118, 2.14e-118j)
| (0.86781036259088164346 - 3.7956436846149116722e-470j)  +/-  (7.79e-119, 7.79e-119j)
| (0.80852135135845778653 - 2.2401187855210717336e-473j)  +/-  (2.88e-119, 2.88e-119j)
| (-0.6622992607879358953 - 1.703485358134323617e-471j)  +/-  (1.56e-120, 1.56e-120j)
| (-0.73971234326940354186 - 8.6977925547351041562e-476j)  +/-  (7.79e-120, 7.79e-120j)
| (-0.19143476114895481076 - 5.9022809954790028475e-487j)  +/-  (1.16e-125, 1.16e-125j)
| (0.73971234326940354186 - 5.272152508552250932e-485j)  +/-  (7.26e-120, 7.26e-120j)
| (0.48611001145040908429 + 8.9107144998101300389e-487j)  +/-  (2.64e-122, 2.64e-122j)
| (0.094052880491985481643 - 5.3369071009126634816e-491j)  +/-  (5.41e-127, 5.41e-127j)
| (-0.80852135135845778653 + 1.4369670227556633711e-487j)  +/-  (2.95e-119, 2.95e-119j)
| (-0.39005827292322013468 + 1.7032938958955063717e-494j)  +/-  (2.28e-123, 2.28e-123j)
| (0.39005827292322013468 - 1.280005332207011932e-494j)  +/-  (2.41e-123, 2.41e-123j)
| (0.6622992607879358953 + 7.6144369375277639989e-492j)  +/-  (1.58e-120, 1.58e-120j)
| (-0.094052880491985481643 + 1.5780918582257677308e-499j)  +/-  (5.41e-127, 5.41e-127j)
| (-0.48611001145040908429 + 5.9419463262696981392e-492j)  +/-  (2.61e-122, 2.61e-122j)
| (-0.57735026918962576451 - 3.2725463482638203667e-495j)  +/-  (2.14e-121, 2.14e-121j)
| (0.19143476114895481076 - 6.3553079551882595933e-504j)  +/-  (1.05e-125, 1.05e-125j)
| (0.57735026918962576451 - 7.3527622792452490723e-501j)  +/-  (2.12e-121, 2.12e-121j)
| (0.29103532353769320696 - 3.9259471304211890785e-504j)  +/-  (1.8e-124, 1.8e-124j)
| (-0.29103532353769320696 - 6.0354533499846923305e-504j)  +/-  (1.77e-124, 1.77e-124j)
-------------------------------------------------
The weights are:
| (0.0090020229347399467382 - 5.2098109029995983158e-429j)  +/-  (1.14e-28, 1.97e-85j)
| (0.03244217664399841305 - 6.1353673738271523763e-429j)  +/-  (6.36e-29, 1.1e-85j)
| (0.043629493424512179751 + 5.1925121507149244117e-429j)  +/-  (3.64e-29, 6.29e-86j)
| (0.093207338625131989391 - 6.7141198939307285776e-429j)  +/-  (7.51e-30, 1.3e-86j)
| (0.043629493424512179751 + 2.1625126713065767812e-430j)  +/-  (1.69e-30, 2.91e-87j)
| (0.03244217664399841305 - 1.3081591876087924899e-430j)  +/-  (1.15e-30, 1.98e-87j)
| (0.0090020229347399467382 - 1.8259484248443404013e-431j)  +/-  (1.5e-31, 2.59e-88j)
| (0.054259829612577583989 - 4.6997980468880483468e-429j)  +/-  (5.49e-31, 9.47e-88j)
| (0.020844877083657824357 + 8.5909767035165698955e-429j)  +/-  (2.71e-30, 4.67e-87j)
| (0.020844877083657824357 + 6.486527552311828865e-431j)  +/-  (2.76e-31, 4.76e-88j)
| (0.054259829612577583989 - 3.2439444955293796388e-430j)  +/-  (2.77e-32, 4.79e-89j)
| (0.064189548716886091126 + 4.6123672915451236201e-430j)  +/-  (5.92e-33, 1.02e-89j)
| (0.081372568672707178118 + 4.2918755099338760693e-429j)  +/-  (2.86e-34, 4.93e-91j)
| (0.073275931900118018371 - 4.3026831284287629515e-429j)  +/-  (5.85e-34, 1.01e-90j)
| (0.098939790147843047053 - 6.251216402916107618e-429j)  +/-  (2.05e-35, 3.53e-92j)
| (0.073275931900118018371 - 6.3635048945067880523e-430j)  +/-  (7.64e-35, 1.32e-91j)
| (0.093917010599986300036 + 1.5890548492685373389e-429j)  +/-  (2.6e-36, 4.49e-93j)
| (0.095555633538255929483 + 5.6575665346444979506e-429j)  +/-  (2.12e-36, 3.66e-93j)
| (0.064189548716886091126 + 4.4291278996151342631e-429j)  +/-  (3.87e-35, 6.67e-92j)
| (0.09788343713597557135 - 4.9903257162616240057e-429j)  +/-  (1.02e-36, 1.75e-93j)
| (0.09788343713597557135 - 2.1826085298313245335e-429j)  +/-  (4.98e-37, 8.59e-94j)
| (0.081372568672707178118 + 8.6467002282154712802e-430j)  +/-  (1.24e-36, 2.14e-93j)
| (0.095555633538255929483 + 6.8368406718973701281e-429j)  +/-  (9.52e-37, 1.64e-93j)
| (0.093917010599986300036 + 4.6160361431652659662e-429j)  +/-  (1.79e-37, 3.09e-94j)
| (0.08831887093526157617 - 4.3921729643391754483e-429j)  +/-  (2.07e-37, 3.58e-94j)
| (0.098939790147843047053 - 4.2364422853655798595e-429j)  +/-  (3.31e-38, 5.75e-95j)
| (0.08831887093526157617 - 1.1697085853314382866e-429j)  +/-  (1.56e-38, 2.69e-95j)
| (0.099765139340914345712 + 3.0381440488255543334e-429j)  +/-  (2.07e-38, 3.62e-95j)
| (0.099765139340914345712 + 5.5449163659209139281e-429j)  +/-  (1.37e-38, 2.14e-95j)
