Starting with polynomial:
P : -t+1
Extension levels are: 1 17
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Trying to find an order 17 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Ending with final polynomial:
P : -t^18 + 15680471520014945/49021548330016*t^17 - 2236565419569630017/49021548330016*t^16 + 5886140545325601284/1531923385313*t^15 - 326705998413685641900/1531923385313*t^14 + 12634810373190003493740/1531923385313*t^13 - 351034001307872756737500/1531923385313*t^12 + 7121571643286957109970080/1531923385313*t^11 - 106205820088209471980269920/1531923385313*t^10 + 1163309656352263529691582000/1531923385313*t^9 - 9287092624967816702779335600/1531923385313*t^8 + 53244375467533374923967168000/1531923385313*t^7 - 214190259712893219606974323200/1531923385313*t^6 + 584213500430838899836844428800/1531923385313*t^5 - 1027294184277150479382813120000/1531923385313*t^4 + 1078773306589656451565535744000/1531923385313*t^3 - 597243459347073220381539840000/1531923385313*t^2 + 138276925585285808648815488000/1531923385313*t - 7556998799056943178214272000/1531923385313
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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:
| (58.441089368518460467 - 3.9815929022502575743e-321j)  +/-  (3.11e-120, 3.11e-120j)
| (48.267879673805323776 - 5.0419175284603438018e-319j)  +/-  (2.83e-119, 2.83e-119j)
| (40.544850976086640137 + 1.2732056253777490904e-319j)  +/-  (1.04e-118, 1.04e-118j)
| (6.1598091225886033384 - 2.7961307486197761378e-320j)  +/-  (1.79e-120, 1.79e-120j)
| (8.20111925449159715 + 5.692093082201587742e-332j)  +/-  (6.78e-120, 6.78e-120j)
| (24.111967343434438269 - 3.7367877442939832502e-351j)  +/-  (3.37e-118, 3.37e-118j)
| (28.788192488048432829 + 4.5833627782252893084e-368j)  +/-  (3.12e-118, 3.12e-118j)
| (16.451887276989201251 - 1.0629029727906688398e-384j)  +/-  (1.6e-118, 1.6e-118j)
| (34.192190821730087084 - 2.2399056534282266344e-399j)  +/-  (2.13e-118, 2.13e-118j)
| (20.029493648630624973 + 1.7760883257536615029e-412j)  +/-  (3.06e-118, 3.06e-118j)
| (1.8643489459915024118 - 9.788165853391672435e-424j)  +/-  (3.72e-123, 3.72e-123j)
| (3.0056563388344861709 - 2.3658552915332983847e-422j)  +/-  (3.17e-122, 3.17e-122j)
| (0.076887247558912962376 + 1.0766922827955695608e-432j)  +/-  (5.47e-127, 5.47e-127j)
| (13.316620856376076664 + 7.6836984324293558724e-428j)  +/-  (7.89e-119, 7.89e-119j)
| (4.4333380952615488844 + 4.5678181198142571171e-434j)  +/-  (2.67e-121, 2.67e-121j)
| (1 + 1.8706680383090954197e-439j)  +/-  (2.92e-124, 2.92e-124j)
| (0.40574740521477512422 + 4.7377855502866202092e-441j)  +/-  (1.68e-125, 1.68e-125j)
| (10.577877833871025804 - 2.06527342134659815e-438j)  +/-  (2.85e-119, 2.85e-119j)
-------------------------------------------------
The weights are:
| (5.1131700865973613053e-25 + 5.2616205239867449902e-335j)  +/-  (1.59e-49, 4.23e-108j)
| (9.4392572852546709115e-21 - 8.4883384863208163711e-333j)  +/-  (2.85e-48, 7.6e-107j)
| (1.7097789341012208357e-17 + 4.2306144635758836506e-331j)  +/-  (2.27e-47, 6.05e-106j)
| (0.0039736374021713017977 + 4.7588983864768108477e-323j)  +/-  (5.77e-37, 1.54e-95j)
| (0.00060497770323516164648 + 2.4044525949888228123e-323j)  +/-  (9.15e-39, 2.44e-97j)
| (1.4721580954732932442e-10 - 2.0356811890838017617e-327j)  +/-  (2.05e-45, 5.48e-104j)
| (1.5758147678411955631e-12 + 1.7681803280064824406e-328j)  +/-  (1.93e-46, 5.14e-105j)
| (2.3975887261854496653e-07 - 1.2535359974405855587e-325j)  +/-  (1.87e-44, 4.99e-103j)
| (8.2459821693307620383e-15 - 1.0869369822898848888e-329j)  +/-  (1.02e-47, 2.73e-106j)
| (7.6404633123712878541e-09 + 1.7823032289275689231e-326j)  +/-  (3.21e-45, 8.56e-104j)
| (0.15522712043629603983 - 9.280259377483851767e-323j)  +/-  (6.09e-40, 1.62e-98j)
| (0.063501310053857181119 + 1.014477256650659863e-322j)  +/-  (4.56e-41, 1.21e-99j)
| (0.18278155279827637106 + 1.4715341864938452323e-323j)  +/-  (2.49e-40, 6.63e-99j)
| (4.8261243553341344535e-06 + 7.4645508977791074605e-325j)  +/-  (1.38e-44, 3.68e-103j)
| (0.01869957321738800692 - 1.2042590508329540739e-322j)  +/-  (1.37e-42, 3.61e-101j)
| (0.26794572713009554224 + 7.5010668506009312586e-323j)  +/-  (6.52e-42, 1.7e-100j)
| (0.30719600060466774946 - 4.6166250669409235097e-323j)  +/-  (6.07e-42, 1.57e-100j)
| (6.5026981521493476737e-05 - 4.0495515275496735533e-324j)  +/-  (3.95e-44, 1.06e-102j)
