Starting with polynomial:
P : 9694845/2048*t^15 - 35102025/2048*t^13 + 50702925/2048*t^11 - 37182145/2048*t^9 + 14549535/2048*t^7 - 2909907/2048*t^5 + 255255/2048*t^3 - 6435/2048*t
Extension levels are: 15 16
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Trying to find an order 16 Kronrod extension for:
P1 : 9694845/2048*t^15 - 35102025/2048*t^13 + 50702925/2048*t^11 - 37182145/2048*t^9 + 14549535/2048*t^7 - 2909907/2048*t^5 + 255255/2048*t^3 - 6435/2048*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 9694845/2048*t^31 - 825621915/22528*t^29 + 222272849551/1734656*t^27 - 566430703519519/2118014976*t^25 + 11800132631055228101/31801994864640*t^23 - 419447632808062185469/1162921595996160*t^21 + 19942408194939963739082185061/79068649958189373081600*t^19 - 334577379775286607276883763489/2609265448620249311692800*t^17 + 87168445597121055316840245364351511/1841371673418553040508167424000*t^15 - 219893689975630508963208782260699/17536873080176695623887308800*t^13 + 3138076942054090166951284270711/1348990236936668894145177600*t^11 - 961820275632644204108024748683/3311157854299096376538163200*t^9 + 8428295386676143362626190367/367906428255455152948684800*t^7 - 9445174288403354543155875283/9197660706386378823717120000*t^5 + 118942299923828033141748437/5518596423831827294230272000*t^3 - 1733306412821452272865021/12876724988940930353203968000*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
-------------------------------------------------
The nodes are:
| (-0.99800229869339706029 - 2.9556231897638837742e-407j)  +/-  (1.38e-117, 1.38e-117j)
| (-0.98799251802048542849 - 2.5809752171727424275e-407j)  +/-  (3.44e-117, 3.44e-117j)
| (-0.89726453234408190088 + 2.8312050411753758151e-409j)  +/-  (1.17e-117, 1.17e-117j)
| (0.99800229869339706029 + 3.5068286743021526766e-405j)  +/-  (1.54e-117, 1.54e-117j)
| (0.89726453234408190088 + 4.4915410249771711442e-417j)  +/-  (1.11e-117, 1.11e-117j)
| (0.93727339240070590431 + 5.8821974274883555651e-427j)  +/-  (2.41e-117, 2.41e-117j)
| (0.98799251802048542849 + 5.260737641160889747e-439j)  +/-  (3.38e-117, 3.38e-117j)
| (-0.93727339240070590431 - 1.0322325037913073535e-450j)  +/-  (2.27e-117, 2.27e-117j)
| (-0.96773907567913913426 + 8.7147248818827831008e-454j)  +/-  (3.1e-117, 3.1e-117j)
| (0.96773907567913913426 - 9.9732709623073122841e-455j)  +/-  (3.79e-117, 3.79e-117j)
| (0.8482065834104272162 - 3.7058528187822103127e-463j)  +/-  (4.61e-118, 4.61e-118j)
| (0.29918000715316881217 + 1.8024358581879263207e-473j)  +/-  (3.82e-124, 3.82e-124j)
| (-0.8482065834104272162 - 5.9600093543226582913e-467j)  +/-  (4.92e-118, 4.92e-118j)
| (-0.79041850144246593297 - 3.7844139849828813933e-468j)  +/-  (1.21e-118, 1.21e-118j)
| (-4.3145755786273470019e-479 + 2.2787814388524950271e-479j)  +/-  (1.51e-477, 1.51e-477j)
| (0.79041850144246593297 - 3.7752297305071226562e-467j)  +/-  (1.17e-118, 1.17e-118j)
| (0.65099674129741697053 - 1.9758597593376184465e-469j)  +/-  (4.81e-120, 4.81e-120j)
| (-0.10114206691871749903 - 4.8054925065572169123e-479j)  +/-  (1.02e-126, 1.02e-126j)
| (-0.72441773136017004742 + 5.4777390272855018067e-471j)  +/-  (2.72e-119, 2.72e-119j)
| (-0.3941513470775633699 + 4.729021288593766617e-476j)  +/-  (5.32e-123, 5.32e-123j)
| (0.3941513470775633699 + 3.0814157069169367052e-474j)  +/-  (5.56e-123, 5.56e-123j)
| (0.72441773136017004742 + 1.1400301606664469079e-472j)  +/-  (3.07e-119, 3.07e-119j)
| (0.10114206691871749903 - 5.2541539446510309115e-483j)  +/-  (1.02e-126, 1.02e-126j)
| (-0.48508186364023968069 + 2.2725117190167577157e-475j)  +/-  (6.57e-122, 6.57e-122j)
| (-0.57097217260853884754 + 3.0163637657681672301e-473j)  +/-  (6.04e-121, 6.04e-121j)
| (0.2011940939974345223 - 1.5924937456721321472e-480j)  +/-  (2.04e-125, 2.04e-125j)
| (0.57097217260853884754 - 1.3824021962271268595e-475j)  +/-  (5.65e-121, 5.65e-121j)
| (0.48508186364023968069 - 1.2247611037808600258e-476j)  +/-  (6.4e-122, 6.4e-122j)
| (-0.29918000715316881217 - 1.1059923235150199453e-477j)  +/-  (3.61e-124, 3.61e-124j)
| (-0.65099674129741697053 - 1.0393307725373516147e-476j)  +/-  (4.46e-120, 4.46e-120j)
| (-0.2011940939974345223 + 4.6534362138247776273e-483j)  +/-  (1.91e-125, 1.91e-125j)
-------------------------------------------------
The weights are:
| (0.0053774798729233489878 - 5.4070968386834044156e-407j)  +/-  (2.73e-25, 1.1e-80j)
| (0.015007947329316122538 + 6.6762536310737933227e-407j)  +/-  (2.1e-25, 8.46e-81j)
| (0.044589751324764876608 - 8.3465602247610424663e-407j)  +/-  (5.14e-26, 2.07e-81j)
| (0.0053774798729233489878 - 3.7246264686129648278e-405j)  +/-  (3.64e-27, 1.47e-82j)
| (0.044589751324764876608 - 1.5523407939587122038e-405j)  +/-  (1.97e-27, 7.94e-83j)
| (0.035346360791375846222 + 2.0223156564615926176e-405j)  +/-  (1.97e-27, 7.97e-83j)
| (0.015007947329316122538 + 5.5162457904497911822e-405j)  +/-  (1.97e-27, 7.96e-83j)
| (0.035346360791375846222 + 6.3763094142808491796e-407j)  +/-  (5.74e-28, 2.32e-83j)
| (0.025460847326715320187 - 3.9463457428866481978e-407j)  +/-  (1.01e-27, 4.07e-83j)
| (0.025460847326715320187 - 2.9503997447827771799e-405j)  +/-  (3.78e-28, 1.52e-83j)
| (0.053481524690928087265 + 1.2567660891556685738e-405j)  +/-  (1.82e-29, 7.34e-85j)
| (0.096642726983623678505 - 4.8530439202899928515e-406j)  +/-  (2.95e-32, 1.19e-87j)
| (0.053481524690928087265 + 1.027940502875021686e-406j)  +/-  (7.05e-30, 2.84e-85j)
| (0.062009567800670640285 - 1.2253516327027763408e-406j)  +/-  (1.37e-30, 5.55e-86j)
| (0.10133000701479154902 + 3.5621640749844659902e-406j)  +/-  (9.68e-33, 3.91e-88j)
| (0.062009567800670640285 - 1.0477187623038664784e-405j)  +/-  (2.05e-31, 8.29e-87j)
| (0.076849680757720378894 - 7.7685064592098307868e-406j)  +/-  (1.17e-32, 4.73e-88j)
| (0.10076984552387559504 - 3.2199669587101523203e-406j)  +/-  (2.84e-33, 1.14e-88j)
| (0.06985412131872825871 + 1.4285258830702272318e-406j)  +/-  (8.68e-33, 3.5e-88j)
| (0.093126598170825321225 + 2.3500042219386925145e-406j)  +/-  (3.52e-34, 1.42e-89j)
| (0.093126598170825321225 + 5.4059062234916361568e-406j)  +/-  (8.21e-34, 3.31e-89j)
| (0.06985412131872825871 + 8.938149218214083607e-406j)  +/-  (8e-33, 3.23e-88j)
| (0.10076984552387559504 - 3.9442689700082608245e-406j)  +/-  (4.24e-34, 1.71e-89j)
| (0.088564443056211770647 - 2.1012538394570035669e-406j)  +/-  (4.54e-35, 1.83e-90j)
| (0.083080502823133021038 + 1.8671388651126162505e-406j)  +/-  (3.54e-35, 1.43e-90j)
| (0.099173598721791959332 + 4.3721081302323033812e-406j)  +/-  (9.23e-35, 3.72e-90j)
| (0.083080502823133021038 + 6.8339509787833310588e-406j)  +/-  (3.53e-35, 1.43e-90j)
| (0.088564443056211770647 - 6.0578143865040854464e-406j)  +/-  (2.57e-35, 1.04e-90j)
| (0.096642726983623678505 - 2.6185596353699262534e-406j)  +/-  (2.01e-36, 8.13e-92j)
| (0.076849680757720378894 - 1.6427888004294795548e-406j)  +/-  (1.49e-36, 6.12e-92j)
| (0.099173598721791959332 + 2.9079928159894584882e-406j)  +/-  (2.01e-36, 8.09e-92j)
