Starting with polynomial:
P : t
Extension levels are: 1 14 16
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : t^15 - 105/29*t^13 + 455/87*t^11 - 1001/261*t^9 + 1001/667*t^7 - 1001/3335*t^5 + 1001/38019*t^3 - 143/215441*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^31 - 7409/957*t^29 + 1031711/38115*t^27 - 2629168559/46538415*t^25 + 1259755805600003/16071808928175*t^23 - 1946925760686509/25552476474525*t^21 + 1758744880054675345187599/33009617047974567375375*t^19 - 26400803264837576523071393/974652377048091173557125*t^17 + 404604720536578716756978687271/40459826808513128331478288125*t^15 - 1020667792925350833700218539/385331683890601222204555125*t^13 + 422409064753545587151875659/859586064063648880302469125*t^11 - 129468337008028564289678927/2109893066338047251651515125*t^9 + 1134512772469530672045523/234432562926449694627946125*t^7 - 29242025660691500133609521/134798723682708574411069021875*t^5 + 368242414624854591770119/80879234209625144646641413125*t^3 - 101959200754203074874413/3585646049960048079334435981875*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:
| (-0.99800229869339706029 + 7.9779103547500245274e-408j)  +/-  (1.53e-117, 1.53e-117j)
| (-0.98799251802048542849 - 6.7417296304503767866e-408j)  +/-  (3.55e-117, 3.55e-117j)
| (-0.89726453234408190088 + 7.0304381584573313345e-409j)  +/-  (1.26e-117, 1.26e-117j)
| (0.99800229869339706029 + 5.9724631703751934968e-406j)  +/-  (1.49e-117, 1.49e-117j)
| (0.89726453234408190088 - 9.2317608127140028338e-418j)  +/-  (1.35e-117, 1.35e-117j)
| (0.93727339240070590431 + 9.5401185493718581298e-428j)  +/-  (2.52e-117, 2.52e-117j)
| (0.98799251802048542849 + 1.81390809786514273e-441j)  +/-  (3.42e-117, 3.42e-117j)
| (-0.93727339240070590431 - 6.9329088040035541259e-454j)  +/-  (2.52e-117, 2.52e-117j)
| (-0.96773907567913913426 - 3.1225751911023759908e-457j)  +/-  (3.34e-117, 3.34e-117j)
| (0.96773907567913913426 + 7.4446910075147233092e-459j)  +/-  (3.75e-117, 3.75e-117j)
| (0.8482065834104272162 - 2.5908279753161545713e-462j)  +/-  (4.94e-118, 4.94e-118j)
| (0.29918000715316881217 - 1.1505341736509999281e-473j)  +/-  (3.51e-124, 3.51e-124j)
| (-0.8482065834104272162 + 8.8493146171266243652e-469j)  +/-  (4.5e-118, 4.5e-118j)
| (-0.79041850144246593297 + 8.0831517114188409537e-469j)  +/-  (1.37e-118, 1.37e-118j)
| (-3.2755960441865413867e-478 + 1.7300351137611915925e-478j)  +/-  (1.15e-476, 1.15e-476j)
| (0.79041850144246593297 - 2.0763068562053479977e-468j)  +/-  (1.38e-118, 1.38e-118j)
| (0.65099674129741697053 + 9.3815758388861738444e-472j)  +/-  (4.75e-120, 4.75e-120j)
| (-0.10114206691871749903 + 2.9337884048808274954e-482j)  +/-  (8.1e-127, 8.1e-127j)
| (-0.72441773136017004742 - 6.6847390391640169661e-473j)  +/-  (2.74e-119, 2.74e-119j)
| (-0.3941513470775633699 - 1.095578579694274468e-476j)  +/-  (4.76e-123, 4.76e-123j)
| (0.3941513470775633699 - 2.5717178089085116051e-476j)  +/-  (4.72e-123, 4.72e-123j)
| (0.72441773136017004742 + 4.4001190286359926059e-473j)  +/-  (2.97e-119, 2.97e-119j)
| (0.10114206691871749903 + 1.7061729069591278498e-482j)  +/-  (8.99e-127, 8.99e-127j)
| (-0.48508186364023968069 + 1.1631664807656920651e-475j)  +/-  (6.85e-122, 6.85e-122j)
| (-0.57097217260853884754 + 4.5236942160716689311e-475j)  +/-  (6.28e-121, 6.28e-121j)
| (0.2011940939974345223 + 1.117776059312483384e-480j)  +/-  (2.02e-125, 2.02e-125j)
| (0.57097217260853884754 - 1.0119420998390742119e-475j)  +/-  (6.1e-121, 6.1e-121j)
| (0.48508186364023968069 - 3.9586207340007259817e-478j)  +/-  (7.2e-122, 7.2e-122j)
| (-0.29918000715316881217 - 5.0383441413224658199e-479j)  +/-  (3.4e-124, 3.4e-124j)
| (-0.65099674129741697053 - 4.5204949225653031025e-477j)  +/-  (5.04e-120, 5.04e-120j)
| (-0.2011940939974345223 + 2.2221506246654486816e-484j)  +/-  (1.81e-125, 1.81e-125j)
-------------------------------------------------
The weights are:
| (0.0053774798729233489878 + 3.3745802512339526895e-408j)  +/-  (2.73e-25, 1.16e-80j)
| (0.015007947329316122538 - 9.6723271443307792428e-408j)  +/-  (2.1e-25, 8.96e-81j)
| (0.044589751324764876608 - 7.2846127539122409501e-408j)  +/-  (5.14e-26, 2.2e-81j)
| (0.0053774798729233489878 - 6.3429638754712303457e-406j)  +/-  (3.64e-27, 1.56e-82j)
| (0.044589751324764876608 - 2.6400313492832058858e-406j)  +/-  (1.97e-27, 8.4e-83j)
| (0.035346360791375846222 + 3.4413098694163812405e-406j)  +/-  (1.97e-27, 8.44e-83j)
| (0.015007947329316122538 + 9.393427404718862928e-406j)  +/-  (1.97e-27, 8.43e-83j)
| (0.035346360791375846222 + 2.3853773943884641675e-408j)  +/-  (5.74e-28, 2.45e-83j)
| (0.025460847326715320187 + 6.800444210376558801e-408j)  +/-  (1.01e-27, 4.31e-83j)
| (0.025460847326715320187 - 5.0227458954268887519e-406j)  +/-  (3.77e-28, 1.61e-83j)
| (0.053481524690928087265 + 2.1357541658949089334e-406j)  +/-  (1.82e-29, 7.77e-85j)
| (0.096642726983623678505 - 8.1461775392641338255e-407j)  +/-  (2.95e-32, 1.26e-87j)
| (0.053481524690928087265 + 1.1269035487443459286e-407j)  +/-  (7.05e-30, 3.01e-85j)
| (0.062009567800670640285 - 1.5900181435251274319e-407j)  +/-  (1.37e-30, 5.87e-86j)
| (0.10133000701479154902 + 5.9043949980507512411e-407j)  +/-  (9.68e-33, 4.14e-88j)
| (0.062009567800670640285 - 1.7788330061356019256e-406j)  +/-  (2.05e-31, 8.78e-87j)
| (0.076849680757720378894 - 1.3156131548909444746e-406j)  +/-  (1.17e-32, 5.01e-88j)
| (0.10076984552387559504 - 5.3040159085651810591e-407j)  +/-  (2.84e-33, 1.21e-88j)
| (0.06985412131872825871 + 2.0157845543928136429e-407j)  +/-  (8.68e-33, 3.71e-88j)
| (0.093126598170825321225 + 3.7546702776488590227e-407j)  +/-  (3.52e-34, 1.5e-89j)
| (0.093126598170825321225 + 9.1000496966095275029e-407j)  +/-  (8.21e-34, 3.51e-89j)
| (0.06985412131872825871 + 1.515793419948404265e-406j)  +/-  (8e-33, 3.42e-88j)
| (0.10076984552387559504 - 6.5708754752682764667e-407j)  +/-  (4.24e-34, 1.81e-89j)
| (0.088564443056211770647 - 3.3005169958870673879e-407j)  +/-  (4.54e-35, 1.94e-90j)
| (0.083080502823133021038 + 2.8651353882630751037e-407j)  +/-  (3.54e-35, 1.51e-90j)
| (0.099173598721791959332 + 7.3138367683943390187e-407j)  +/-  (9.23e-35, 3.94e-90j)
| (0.083080502823133021038 + 1.1554237330263889529e-406j)  +/-  (3.53e-35, 1.51e-90j)
| (0.088564443056211770647 - 1.0221694087860404848e-406j)  +/-  (2.57e-35, 1.1e-90j)
| (0.096642726983623678505 - 4.2377579041378924714e-407j)  +/-  (2.01e-36, 8.61e-92j)
| (0.076849680757720378894 - 2.438233828411097414e-407j)  +/-  (1.49e-36, 6.48e-92j)
| (0.099173598721791959332 + 4.7529553370691245355e-407j)  +/-  (2.01e-36, 8.57e-92j)
