Starting with polynomial:
P : 65536*t^17 - 278528*t^15 + 487424*t^13 - 452608*t^11 + 239360*t^9 - 71808*t^7 + 11424*t^5 - 816*t^3 + 17*t
Extension levels are: 17 18
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Trying to find an order 18 Kronrod extension for:
P1 : 65536*t^17 - 278528*t^15 + 487424*t^13 - 452608*t^11 + 239360*t^9 - 71808*t^7 + 11424*t^5 - 816*t^3 + 17*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 65536*t^35 - 589824*t^33 + 2428928*t^31 - 6062080*t^29 + 10237696*t^27 - 12370176*t^25 + 11026080*t^23 - 7367360*t^21 + 3712775*t^19 - 1408451*t^17 + 3187041/8*t^15 - 165053/2*t^13 + 1557829/128*t^11 - 156655/128*t^9 + 80427/1024*t^7 - 1479/512*t^5 + 3281/65536*t^3 - 17/65536*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:
| (-0.18374951781657033157 - 1.4090694638833179572e-426j)  +/-  (9.79e-126, 9.79e-126j)
| (0.98297309968390177828 - 2.2828880315464480501e-416j)  +/-  (1.99e-115, 1.99e-115j)
| (-0.96182564317281907041 - 1.5939266779448880308e-429j)  +/-  (1.15e-115, 1.15e-115j)
| (-0.98297309968390177828 + 1.5693105491500123627e-429j)  +/-  (2.04e-115, 2.04e-115j)
| (0.99573417629503452187 - 5.6678628179298755784e-428j)  +/-  (2.63e-115, 2.63e-115j)
| (0.67369564364655721171 + 2.5296763899023360909e-447j)  +/-  (5.51e-119, 5.51e-119j)
| (0.60263463637925638918 - 9.7452662792889456615e-448j)  +/-  (6.28e-120, 6.28e-120j)
| (-0.89516329135506232207 + 4.6061992721220413643e-444j)  +/-  (2.24e-116, 2.24e-116j)
| (-0.93247222940435580457 - 4.743028428554121626e-444j)  +/-  (5.52e-116, 5.52e-116j)
| (0.89516329135506232207 + 1.7132947321885397651e-443j)  +/-  (2.08e-116, 2.08e-116j)
| (0.85021713572961415213 - 2.8693797720724193656e-444j)  +/-  (7.2e-117, 7.2e-117j)
| (1 - 6.6433417247837325575e-442j)  +/-  (1.56e-115, 1.56e-115j)
| (-0.67369564364655721171 - 5.8727406102011179748e-458j)  +/-  (4.71e-119, 4.71e-119j)
| (-0.85021713572961415213 - 1.6439297046567344746e-452j)  +/-  (6.97e-117, 6.97e-117j)
| (-0.99573417629503452187 - 9.725259895536346832e-450j)  +/-  (2.79e-115, 2.79e-115j)
| (0.79801722728023950333 - 2.8384610701648869369e-453j)  +/-  (1.76e-117, 1.76e-117j)
| (0.36124166618715294874 - 8.507127867996604229e-461j)  +/-  (3.8e-123, 3.8e-123j)
| (-0.09226835946330199524 + 4.7449202861906556329e-464j)  +/-  (6.68e-127, 6.68e-127j)
| (-0.79801722728023950333 - 3.0983952067377248141e-455j)  +/-  (1.57e-117, 1.57e-117j)
| (-0.52643216287735580024 - 1.4758881211186180541e-458j)  +/-  (5.95e-121, 5.95e-121j)
| (0.96182564317281907041 + 3.3872447105951389374e-451j)  +/-  (1.23e-115, 1.23e-115j)
| (0.73900891722065911592 + 3.070658024602459376e-465j)  +/-  (2.85e-118, 2.85e-118j)
| (0.93247222940435580457 - 7.3393573524153144495e-468j)  +/-  (5.83e-116, 5.83e-116j)
| (-0.27366299007208286354 - 1.8323282986031528651e-485j)  +/-  (2.31e-124, 2.31e-124j)
| (-0.73900891722065911592 - 4.0587940486379898464e-480j)  +/-  (2.86e-118, 2.86e-118j)
| (-0.36124166618715294874 - 2.8081940463911219669e-484j)  +/-  (4.22e-123, 4.22e-123j)
| (0.4457383557765382674 + 2.4713060248686741738e-483j)  +/-  (4.96e-122, 4.96e-122j)
| (0.18374951781657033157 + 1.2164935651541391946e-486j)  +/-  (1.09e-125, 1.09e-125j)
| (-1 + 3.5391447010526987955e-482j)  +/-  (1.46e-115, 1.46e-115j)
| (-0.60263463637925638918 + 1.1250831246009289179e-490j)  +/-  (5.96e-120, 5.96e-120j)
| (1.5705173293662503321e-499 + 2.0515192305978259718e-498j)  +/-  (7.2e-497, 7.2e-497j)
| (0.27366299007208286354 - 3.0947803257812107432e-495j)  +/-  (2.03e-124, 2.03e-124j)
| (0.52643216287735580024 + 1.5660602624383460767e-491j)  +/-  (7.35e-121, 7.35e-121j)
| (0.09226835946330199524 - 5.5135088459293355021e-497j)  +/-  (6.68e-127, 6.68e-127j)
| (-0.4457383557765382674 + 1.8627357627489957081e-492j)  +/-  (5.03e-122, 5.03e-122j)
-------------------------------------------------
The weights are:
| (0.029411764705882352941 - 5.7549039185469460716e-418j)  +/-  (1.62e-23, 5.21e-78j)
| (0.029411764705882352941 - 9.7738330242351439046e-417j)  +/-  (6.83e-24, 2.19e-78j)
| (0.029411764705882352941 - 3.452478868066983922e-418j)  +/-  (3.61e-24, 1.16e-78j)
| (0.029411764705882352941 + 3.4153409510587272594e-418j)  +/-  (3.1e-24, 9.93e-79j)
| (0.029411764705882352941 + 5.2616066558971709006e-416j)  +/-  (1.33e-24, 4.28e-79j)
| (0.029411764705882352941 - 2.1709880343476471815e-417j)  +/-  (5.97e-25, 1.92e-79j)
| (0.029411764705882352941 + 1.7653687994680488464e-417j)  +/-  (5.68e-25, 1.82e-79j)
| (0.029411764705882352941 - 3.5750207462675311665e-418j)  +/-  (5.24e-26, 1.68e-80j)
| (0.029411764705882352941 + 3.5053866901746648651e-418j)  +/-  (1.23e-25, 3.93e-80j)
| (0.029411764705882352941 - 7.646499509765944284e-417j)  +/-  (5.95e-27, 1.91e-81j)
| (0.029411764705882352941 + 5.0576835596794458653e-417j)  +/-  (5.67e-27, 1.82e-81j)
| (0.014705882352941176471 - 1.9716966795627611333e-416j)  +/-  (8.91e-27, 2.86e-81j)
| (0.029411764705882352941 - 4.0529385183311023762e-418j)  +/-  (1.49e-28, 4.78e-83j)
| (0.029411764705882352941 + 3.6626730998896637775e-418j)  +/-  (8.63e-28, 2.77e-82j)
| (0.029411764705882352941 - 3.3933147382422484206e-418j)  +/-  (5.76e-28, 1.85e-82j)
| (0.029411764705882352941 - 3.6302586536860530406e-417j)  +/-  (1.24e-27, 3.99e-82j)
| (0.029411764705882352941 - 1.0799480615071562531e-417j)  +/-  (1.33e-29, 4.26e-84j)
| (0.029411764705882352941 + 6.2445290879622405204e-418j)  +/-  (8.06e-30, 2.59e-84j)
| (0.029411764705882352941 - 3.7700241604391887642e-418j)  +/-  (8.27e-29, 2.65e-83j)
| (0.029411764705882352941 - 4.4483590511269947956e-418j)  +/-  (3.51e-30, 1.13e-84j)
| (0.029411764705882352941 - 3.1750279566010122213e-416j)  +/-  (1.32e-28, 4.25e-83j)
| (0.029411764705882352941 + 2.752197677410044267e-417j)  +/-  (1.21e-29, 3.88e-84j)
| (0.029411764705882352941 + 1.3295566049080250782e-416j)  +/-  (7.87e-29, 2.53e-83j)
| (0.029411764705882352941 + 5.3431352261009430432e-418j)  +/-  (3.1e-32, 9.94e-87j)
| (0.029411764705882352941 + 3.8992141010547679256e-418j)  +/-  (6.36e-32, 2.04e-86j)
| (0.029411764705882352941 - 4.9950177089952253221e-418j)  +/-  (1.41e-32, 4.51e-87j)
| (0.029411764705882352941 + 1.2498031149056593585e-417j)  +/-  (7.78e-33, 2.5e-87j)
| (0.029411764705882352941 - 8.4011241867635459517e-418j)  +/-  (4.85e-34, 1.56e-88j)
| (0.014705882352941176471 + 1.6930074753259994378e-418j)  +/-  (3.52e-32, 1.13e-86j)
| (0.029411764705882352941 + 4.2345760613286781438e-418j)  +/-  (7.47e-33, 2.4e-87j)
| (0.029411764705882352941 - 6.8306819054687996938e-418j)  +/-  (4.56e-34, 1.46e-88j)
| (0.029411764705882352941 + 9.4660663551986711839e-418j)  +/-  (2.22e-34, 7.09e-89j)
| (0.029411764705882352941 - 1.4707063534299293855e-417j)  +/-  (2.86e-34, 9.02e-89j)
| (0.029411764705882352941 + 7.5382742018760037088e-418j)  +/-  (1.48e-34, 4.81e-89j)
| (0.029411764705882352941 + 4.6996029432227013226e-418j)  +/-  (1e-34, 2.84e-89j)
