Starting with polynomial:
P : 2*t
Extension levels are: 1 4 8 14
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Trying to find an order 4 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : 2*t^5 - 10*t^3 + 15/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P3 : 2*t^13 - 170/3*t^11 + 3251/6*t^9 - 2163*t^7 + 29631/8*t^5 - 20895/8*t^3 + 19215/32*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^27 - 90241522318027534903/375814988811315009*t^25 + 13690367394490183275610/1127444966433945027*t^23 - 383704021960610852610788/1127444966433945027*t^21 + 17606211387194407209146089/3006519910490520072*t^19 - 389462550966169308065806627/6013039820981040144*t^17 + 704731315496908239770997599/1503259955245260036*t^15 - 1111819789607170684784455075/501086651748420012*t^13 + 9842432068968480385513453435/1457706623268130944*t^11 - 37213821308029265617366690405/2915413246536261888*t^9 + 6878199546909544787730687345/485902207756043648*t^7 - 509393332044354126331111695/60737775969505456*t^5 + 17551931606509521536927327625/7774435324096698368*t^3 - 2989529438334911095439436075/15548870648193396736*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:
| (1.3117288375389628728 - 6.5839892989675416015e-446j)  +/-  (1.48e-123, 1.48e-123j)
| (-4.8540454962240487598 - 3.6549167372267987478e-443j)  +/-  (3e-122, 3e-122j)
| (5.6154402247369694774 - 1.5932808956661522735e-452j)  +/-  (5.92e-123, 5.92e-123j)
| (-3.6658316928775966507 - 1.0087298706856216141e-450j)  +/-  (1.37e-121, 1.37e-121j)
| (-5.6154402247369694774 + 3.4575352727283734037e-463j)  +/-  (5.47e-123, 5.47e-123j)
| (4.2225705895473131755 - 6.2040145145631425509e-465j)  +/-  (8.28e-122, 8.28e-122j)
| (2.0201828704560856329 + 1.6533065618605207231e-463j)  +/-  (2.56e-122, 2.56e-122j)
| (3.1787089294611088626 - 4.7222521193438205577e-466j)  +/-  (1.62e-121, 1.62e-121j)
| (-2.7796084806380178827 - 4.9065595704540583077e-469j)  +/-  (1.42e-121, 1.42e-121j)
| (2.7796084806380178827 + 5.8142504497743833012e-481j)  +/-  (1.3e-121, 1.3e-121j)
| (-3.1787089294611088626 - 5.3552075576608874906e-481j)  +/-  (1.7e-121, 1.7e-121j)
| (4.8540454962240487598 - 2.5368049230924851645e-487j)  +/-  (3.3e-122, 3.3e-122j)
| (3.6658316928775966507 + 4.2492477410472620792e-486j)  +/-  (1.39e-121, 1.39e-121j)
| (-2.0201828704560856329 - 7.2309937109263921934e-486j)  +/-  (2.73e-122, 2.73e-122j)
| (0.38854687379609431117 - 1.0794808950173196255e-495j)  +/-  (4.24e-126, 4.24e-126j)
| (1.6486692982224057057 - 1.7705671546367060866e-493j)  +/-  (7.38e-123, 7.38e-123j)
| (-1.6486692982224057057 + 7.3575370270862705005e-492j)  +/-  (7.26e-123, 7.26e-123j)
| (-1.3117288375389628728 - 3.0023832948823481109e-494j)  +/-  (1.41e-123, 1.41e-123j)
| (-0.95857246461381850711 - 1.255811453967398274e-497j)  +/-  (2.2e-124, 2.2e-124j)
| (2.4144292591400008652 + 2.1174492964572781088e-495j)  +/-  (6.99e-122, 6.99e-122j)
| (-4.2225705895473131755 - 1.6577686579906719274e-496j)  +/-  (8.62e-122, 8.62e-122j)
| (0.95857246461381850711 - 9.5345709370480378596e-505j)  +/-  (2.4e-124, 2.4e-124j)
| (-2.4144292591400008652 + 2.3835264590066796108e-503j)  +/-  (8.25e-122, 8.25e-122j)
| (-0.66944416045059213743 - 1.2873487876367809078e-512j)  +/-  (4.13e-125, 4.13e-125j)
| (3.4542744652702412927e-515 + 4.4762591711351571589e-515j)  +/-  (1.53e-513, 1.53e-513j)
| (-0.38854687379609431117 + 1.0049290670650510451e-513j)  +/-  (4.24e-126, 4.24e-126j)
| (0.66944416045059213743 - 4.4297284105204465855e-514j)  +/-  (3.77e-125, 3.77e-125j)
-------------------------------------------------
The weights are:
| (0.034664049638753941034 + 1.9210695586370605633e-447j)  +/-  (2.27e-29, 7.83e-90j)
| (2.2459170251320789295e-11 - 5.1560396108019920294e-453j)  +/-  (1.81e-44, 6.22e-105j)
| (9.9925057616981490956e-15 + 7.6152212650544839057e-457j)  +/-  (8.41e-47, 2.9e-107j)
| (4.3113041391985869169e-07 - 7.5789018864288524216e-451j)  +/-  (5.92e-42, 2.04e-102j)
| (9.9925057616981490956e-15 - 8.4758032092710734223e-456j)  +/-  (2.55e-46, 8.78e-107j)
| (6.0111838527093500604e-09 + 5.3288551342812567611e-453j)  +/-  (2.94e-44, 1.01e-104j)
| (0.0037510272845906561077 - 6.8072336168079723697e-448j)  +/-  (1.07e-37, 3.68e-98j)
| (1.0276723732373045114e-05 + 2.6231468117671763035e-450j)  +/-  (5.98e-42, 2.06e-102j)
| (9.0143547419970170231e-05 - 5.3807328908384445395e-449j)  +/-  (6.88e-42, 2.37e-102j)
| (9.0143547419970170231e-05 - 2.3645077795112382554e-449j)  +/-  (4.83e-41, 1.66e-101j)
| (1.0276723732373045114e-05 + 8.3943323784234289031e-450j)  +/-  (7.51e-43, 2.59e-103j)
| (2.2459170251320789295e-11 - 1.0830680911218590646e-454j)  +/-  (1.14e-46, 3.93e-107j)
| (4.3113041391985869169e-07 - 1.4854205279602800753e-451j)  +/-  (1.21e-43, 4.17e-104j)
| (0.0037510272845906561077 - 7.5571006679954910577e-448j)  +/-  (1.74e-41, 5.99e-102j)
| (0.17058533411147067239 + 7.2632298173401812964e-447j)  +/-  (6.02e-39, 2.07e-99j)
| (0.012862918224136025067 + 3.8771799542867795864e-447j)  +/-  (6.4e-40, 2.2e-100j)
| (0.012862918224136025067 + 2.347986915812044346e-447j)  +/-  (8.16e-41, 2.81e-101j)
| (0.034664049638753941034 - 5.4158764515150172387e-447j)  +/-  (2.6e-40, 8.94e-101j)
| (0.077890037144891157525 + 1.138204669433938212e-446j)  +/-  (5.18e-40, 1.78e-100j)
| (0.00063442992302376718552 + 1.283528287648721146e-448j)  +/-  (1.23e-41, 4.24e-102j)
| (6.0111838527093500604e-09 + 5.7364823521796068864e-452j)  +/-  (7.98e-47, 2.75e-107j)
| (0.077890037144891157525 - 6.3590318927014111178e-447j)  +/-  (9.83e-41, 3.39e-101j)
| (0.00063442992302376718552 + 2.1290315349544708076e-448j)  +/-  (1.06e-42, 3.65e-103j)
| (0.085365110532132688707 - 1.7039908676668297568e-446j)  +/-  (1.05e-40, 3.6e-101j)
| (0.22829247141156362689 - 9.7721510496131459381e-447j)  +/-  (3.11e-41, 1.08e-101j)
| (0.17058533411147067239 + 1.4910979717661286352e-446j)  +/-  (3.55e-41, 1.22e-101j)
| (0.085365110532132688707 - 1.9530632032220451982e-447j)  +/-  (2.03e-41, 6.97e-102j)
