Starting with polynomial:
P : t
Extension levels are: 1 16 26
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : t^17 - 136*t^15 + 7140*t^13 - 185640*t^11 + 2552550*t^9 - 18378360*t^7 + 64324260*t^5 - 91891800*t^3 + 34459425*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^43 - 1352578353572165/2052842729187*t^41 + 401156451354499850/2052842729187*t^39 - 118417160688978553818/3421404548645*t^37 + 126115954542826250196077/30792640937805*t^35 - 2114285554195652798282959/6158528187561*t^33 + 43296667975028160375650968/2052842729187*t^31 - 1990064673788336564339921000/2052842729187*t^29 + 69266878645266749571326560358/2052842729187*t^27 - 612225454987048865686373215566/684280909729*t^25 + 12381340649235874653190272318900/684280909729*t^23 - 190375139534139952131910588317900/684280909729*t^21 + 2209232190163704778794520418870250/684280909729*t^19 - 19119340529973475323069584920623750/684280909729*t^17 + 121272326281236302310215201145021000/684280909729*t^15 - 550243666097552874428710521667875000/684280909729*t^13 + 1726503075433078945316498283682708125/684280909729*t^11 - 3571035033979765233583255924481986875/684280909729*t^9 + 4536390668344958977095100340108076750/684280909729*t^7 - 3162469256417479673139019949653499250/684280909729*t^5 + 986781076304202437440732742510443125/684280909729*t^3 - 85800767760702964201608540801511875/684280909729*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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-8.1890410288865355407 + 4.1971879224426909773e-742j)  +/-  (6.75e-246, 6.75e-246j)
| (-9.7338802815645046524 - 3.0280910655319082966e-745j)  +/-  (4.39e-247, 4.39e-247j)
| (10.717253134164603161 + 9.2153843549575655325e-748j)  +/-  (4.49e-248, 4.49e-248j)
| (-7.5174651535723968513 + 2.0446111415502627162e-747j)  +/-  (1.19e-245, 1.19e-245j)
| (-8.9179080184479731564 + 5.2291749480258958867e-759j)  +/-  (2.29e-246, 2.29e-246j)
| (7.5174651535723968513 - 8.7685794149946664548e-776j)  +/-  (1.18e-245, 1.18e-245j)
| (-3.900065717198009909 - 6.5494980429284873567e-791j)  +/-  (2.41e-246, 2.41e-246j)
| (-2.6874036812496376141 + 7.4940798882848541873e-794j)  +/-  (5.72e-248, 5.72e-248j)
| (6.8891224398953322326 + 2.3347110899917166953e-790j)  +/-  (1.76e-245, 1.76e-245j)
| (4.3426281435130559085 + 1.5135672023057835969e-800j)  +/-  (5.41e-246, 5.41e-246j)
| (8.9179080184479731564 - 1.147057972930794134e-817j)  +/-  (2.42e-246, 2.42e-246j)
| (1.8813863840987427638 + 1.5274431727438051476e-840j)  +/-  (1.57e-249, 1.57e-249j)
| (8.1890410288865355407 + 2.4825145767213660493e-842j)  +/-  (6.25e-246, 6.25e-246j)
| (-2.2810194402529888954 - 2.3439742751458849479e-858j)  +/-  (1e-248, 1e-248j)
| (-5.2364769296294282994 - 2.3520724784141796344e-860j)  +/-  (1.64e-245, 1.64e-245j)
| (1.1391735090715361749 - 1.0491881532792141398e-870j)  +/-  (2.17e-251, 2.17e-251j)
| (0.75184260070389617074 + 7.1803566800912266253e-873j)  +/-  (1.5e-252, 1.5e-252j)
| (5.7444600786594061813 + 5.2199164096373759713e-886j)  +/-  (1.77e-245, 1.77e-245j)
| (-0.75184260070389617074 - 1.4124260465462876189e-912j)  +/-  (1.68e-252, 1.68e-252j)
| (-5.7444600786594061813 - 7.9513951006848962864e-907j)  +/-  (1.82e-245, 1.82e-245j)
| (1.5098833077967407591 - 1.1658534006691589994e-919j)  +/-  (2.34e-250, 2.34e-250j)
| (6.2979332625238226139 - 5.2190035427263607767e-928j)  +/-  (2e-245, 2e-245j)
| (-3.4688491614532119338 + 6.0720386578401504634e-941j)  +/-  (7.74e-247, 7.74e-247j)
| (-10.717253134164603161 + 1.8708282816802836842e-944j)  +/-  (4.46e-248, 4.46e-248j)
| (-1.8813863840987427638 - 9.35088545893882019e-954j)  +/-  (1.61e-249, 1.61e-249j)
| (5.2364769296294282994 - 1.5164046993982460624e-956j)  +/-  (1.63e-245, 1.63e-245j)
| (2.6874036812496376141 - 8.3907560862177232171e-972j)  +/-  (5.77e-248, 5.77e-248j)
| (4.7785315896299838271 + 7.1616838202178987378e-971j)  +/-  (1.11e-245, 1.11e-245j)
| (-3.0737971753281935585 - 1.8629877826253297246e-977j)  +/-  (2.22e-247, 2.22e-247j)
| (-1.5098833077967407591 + 2.4403300441964123859e-981j)  +/-  (2.01e-250, 2.01e-250j)
| (-4.3426281435130559085 + 3.7382670411957782326e-975j)  +/-  (5.96e-246, 5.96e-246j)
| (3.4688491614532119338 - 1.7398799230893745848e-975j)  +/-  (8.3e-247, 8.3e-247j)
| (2.2810194402529888954 + 3.078044548323847852e-979j)  +/-  (1.01e-248, 1.01e-248j)
| (-6.8891224398953322326 + 7.6957581629562622286e-976j)  +/-  (1.72e-245, 1.72e-245j)
| (3.900065717198009909 - 6.4615188241039407295e-977j)  +/-  (2.19e-246, 2.19e-246j)
| (-1.1391735090715361749 + 1.7750553715962405501e-984j)  +/-  (2.06e-251, 2.06e-251j)
| (-5.7927557739854198424e-999 + 5.7683653528643172309e-999j)  +/-  (3.52e-997, 3.52e-997j)
| (0.36809619239466174524 + 1.019275559042539471e-986j)  +/-  (9.54e-254, 9.54e-254j)
| (9.7338802815645046524 - 8.0637675192386843137e-980j)  +/-  (4.84e-247, 4.84e-247j)
| (-4.7785315896299838271 - 2.3059217333194408205e-978j)  +/-  (1.15e-245, 1.15e-245j)
| (-0.36809619239466174524 + 2.7069126414244303793e-988j)  +/-  (9.54e-254, 9.54e-254j)
| (-6.2979332625238226139 + 1.288012870627358209e-984j)  +/-  (1.96e-245, 1.96e-245j)
| (3.0737971753281935585 + 6.2882236435678921277e-989j)  +/-  (2.55e-247, 2.55e-247j)
-------------------------------------------------
The weights are:
| (7.6236465758545442192e-16 + 1.6679717382463023341e-756j)  +/-  (2.34e-88, 2.98e-210j)
| (9.3315444657603756783e-22 - 4.8846393363855112645e-761j)  +/-  (6.02e-92, 7.67e-214j)
| (5.1790595816620656146e-26 - 1.2891092695039036705e-764j)  +/-  (7.52e-96, 9.59e-218j)
| (1.3844003785086516972e-13 - 1.4215342006547650137e-755j)  +/-  (1.18e-87, 1.5e-209j)
| (1.6414661929880855053e-18 + 9.4212458781316923541e-759j)  +/-  (3.22e-90, 4.1e-212j)
| (1.3844003785086516972e-13 - 6.0785742478051848475e-757j)  +/-  (1.28e-90, 1.63e-212j)
| (8.7902891789005708711e-05 + 1.8373672375390444218e-749j)  +/-  (1.85e-79, 2.36e-201j)
| (0.0042849477882970892281 - 4.8836998528390073769e-748j)  +/-  (4.53e-74, 5.78e-196j)
| (1.2020536987404970811e-11 + 1.3644203947641827026e-755j)  +/-  (1.45e-89, 1.85e-211j)
| (1.4056919812622758854e-05 - 1.3694439895320981628e-750j)  +/-  (9.87e-84, 1.26e-205j)
| (1.6414661929880855053e-18 - 4.0139726938157097061e-760j)  +/-  (2.64e-94, 3.36e-216j)
| (0.026182003344280285131 - 1.3502403387997984877e-747j)  +/-  (6.95e-74, 8.86e-196j)
| (7.6236465758545442192e-16 + 1.9536340442717695071e-758j)  +/-  (1.32e-92, 1.68e-214j)
| (0.012111828990528992431 + 1.0492431027410269956e-747j)  +/-  (1.58e-76, 2.02e-198j)
| (2.1355918191064277861e-07 - 1.5778213935834644663e-751j)  +/-  (1.11e-87, 1.41e-209j)
| (0.07939094119593866362 - 3.958436955768925409e-747j)  +/-  (9.53e-70, 1.21e-191j)
| (0.11713183867373952307 + 5.5020602786911313122e-747j)  +/-  (9.58e-70, 1.22e-191j)
| (1.4509898039143639361e-08 + 3.2840325654520145282e-753j)  +/-  (6.84e-89, 8.72e-211j)
| (0.11713183867373952307 + 6.6144878835448362735e-747j)  +/-  (4.37e-72, 5.57e-194j)
| (1.4509898039143639361e-08 + 1.8718003775382562406e-752j)  +/-  (1.77e-89, 2.26e-211j)
| (0.046444271864447317057 + 2.563824724924203869e-747j)  +/-  (6.19e-75, 7.89e-197j)
| (5.5739509606304204114e-10 - 2.3720326765418281824e-754j)  +/-  (7.86e-90, 1e-211j)
| (0.00040302876484556432679 - 6.9523578974300042981e-749j)  +/-  (1.06e-83, 1.35e-205j)
| (5.1790595816620656146e-26 + 9.6401351946578262621e-764j)  +/-  (5.85e-100, 7.45e-222j)
| (0.026182003344280285131 - 2.1557111319829999242e-747j)  +/-  (7.52e-79, 9.59e-201j)
| (2.1355918191064277861e-07 - 3.4699949889309223207e-752j)  +/-  (1.47e-88, 1.88e-210j)
| (0.0042849477882970892281 - 2.470328771604271996e-748j)  +/-  (5.04e-84, 6.42e-206j)
| (1.9285493202980648984e-06 + 2.5399588986716389358e-751j)  +/-  (6.54e-88, 8.33e-210j)
| (0.0013512778227004170726 + 2.0809414882679748551e-748j)  +/-  (3.8e-84, 4.85e-206j)
| (0.046444271864447317057 + 3.7229722945491379874e-747j)  +/-  (1.6e-80, 2.05e-202j)
| (1.4056919812622758854e-05 - 4.4616509145343459095e-750j)  +/-  (6.65e-88, 8.47e-210j)
| (0.00040302876484556432679 - 2.814964686628553807e-749j)  +/-  (4.05e-87, 5.15e-209j)
| (0.012111828990528992431 + 5.9206535330072424316e-748j)  +/-  (3.96e-84, 5.06e-206j)
| (1.2020536987404970811e-11 + 1.58258871850826914e-754j)  +/-  (1.66e-94, 2.13e-216j)
| (8.7902891789005708711e-05 + 6.5186353714322589201e-750j)  +/-  (4.29e-88, 5.44e-210j)
| (0.07939094119593866362 - 5.2377046692993523265e-747j)  +/-  (7.51e-84, 9.58e-206j)
| (0.14514235984887770302 + 8.2384560614047059332e-747j)  +/-  (6.79e-84, 8.63e-206j)
| (0.14002456463122658314 - 7.1966157665811447923e-747j)  +/-  (4.23e-84, 5.38e-206j)
| (9.3315444657603756783e-22 + 4.2100437874082085992e-762j)  +/-  (1.35e-100, 1.72e-222j)
| (1.9285493202980648984e-06 + 9.6574840976377918344e-751j)  +/-  (2.38e-90, 3.04e-212j)
| (0.14002456463122658314 - 7.874037816400076107e-747j)  +/-  (5.52e-85, 6.92e-207j)
| (5.5739509606304204114e-10 - 1.8170889538286577514e-753j)  +/-  (1.6e-93, 2.06e-215j)
| (0.0013512778227004170726 + 9.4510337561027825504e-749j)  +/-  (8.48e-88, 9.72e-210j)
