Starting with polynomial:
P : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Extension levels are: 10 23
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Trying to find an order 23 Kronrod extension for:
P1 : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Solvable: 1
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Ending with final polynomial:
P : t^33 - 156810282443/366447291*t^31 + 1404357136905/17449871*t^29 - 153574817568795/17449871*t^27 + 533506561258387005/855043679*t^25 - 336475924356965936355/11115567827*t^23 + 234507376663334954685/226848323*t^21 - 39975452837699066946225/1587938261*t^19 + 695413321660625680101825/1587938261*t^17 - 504326479549885125380775/93408133*t^15 + 618362866482317768089575/13344019*t^13 - 1931500890164964327335775/7185241*t^11 + 7237587463937220687746625/7185241*t^9 - 2335410379982438074144125/1026463*t^7 + 2845790688193095799195875/1026463*t^5 - 1532461811332865984789625/1026463*t^3 + 230401564189739555258250/1026463*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: 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:
| (1.9677607180546414367 - 1.2214888898540935823e-768j)  +/-  (1.1e-250, 1.1e-250j)
| (-4.1672903978593757163 - 4.0807934039036828818e-763j)  +/-  (1.24e-247, 1.24e-247j)
| (7.5480602776985923011 - 1.3163023358203702377e-771j)  +/-  (1.04e-247, 1.04e-247j)
| (-7.5480602776985923011 - 4.54285165902091514e-769j)  +/-  (1.08e-247, 1.08e-247j)
| (-9.4280794787291344918 - 6.2417476525724881907e-776j)  +/-  (3.12e-249, 3.12e-249j)
| (8.402339241661012042 + 5.7213076562725643572e-781j)  +/-  (2.77e-248, 2.77e-248j)
| (6.7817918821437561266 + 1.5272150181596440912e-779j)  +/-  (2.38e-247, 2.38e-247j)
| (5.4003175167188354184 + 2.4116405650129336001e-778j)  +/-  (7.11e-247, 7.11e-247j)
| (9.4280794787291344918 - 4.589906741285686807e-783j)  +/-  (3.33e-249, 3.33e-249j)
| (-2.4843258416389545809 - 6.185721649060768158e-779j)  +/-  (7.94e-250, 7.94e-250j)
| (3.5818234835519269228 + 4.6586522819447613954e-782j)  +/-  (2.24e-248, 2.24e-248j)
| (6.0717968865391385036 + 1.5165580224962980719e-780j)  +/-  (3.72e-247, 3.72e-247j)
| (-5.4003175167188354184 + 1.3520405390442979313e-782j)  +/-  (6.58e-247, 6.58e-247j)
| (-1.9677607180546414367 - 1.7285254879771821495e-801j)  +/-  (1.17e-250, 1.17e-250j)
| (-6.7817918821437561266 - 9.1097797823590271534e-799j)  +/-  (2.27e-247, 2.27e-247j)
| (-8.402339241661012042 + 1.1448370250871642359e-811j)  +/-  (2.62e-248, 2.62e-248j)
| (4.8086048277353013099 + 2.3527360395870252596e-822j)  +/-  (3.66e-246, 3.66e-246j)
| (4.1672903978593757163 - 5.0126116630740770379e-836j)  +/-  (1.11e-247, 1.11e-247j)
| (-1.4659890943911581833 + 1.9239226980612637394e-845j)  +/-  (1.27e-251, 1.27e-251j)
| (-4.8594628283323121502 - 2.0316640863995037203e-852j)  +/-  (4.03e-246, 4.03e-246j)
| (3.0213896398925118181 - 3.3675530333243343254e-879j)  +/-  (4.7e-249, 4.7e-249j)
| (1.4659890943911581833 - 1.3505733227330036498e-881j)  +/-  (1.48e-251, 1.48e-251j)
| (-4.8086048277353013099 - 3.9034119035371140586e-875j)  +/-  (4.25e-246, 4.25e-246j)
| (-0.48493570751549765305 - 6.7557349150739522612e-890j)  +/-  (8.6e-254, 8.6e-254j)
| (-3.0213896398925118181 - 3.6738715589882549333e-885j)  +/-  (4.45e-249, 4.45e-249j)
| (2.9799975420959025348e-903 + 1.7909309472985533123e-903j)  +/-  (1.15e-901, 1.15e-901j)
| (0.48493570751549765305 - 2.1278336488150154256e-889j)  +/-  (8.6e-254, 8.6e-254j)
| (2.4843258416389545809 + 6.2205007981244602368e-886j)  +/-  (8.9e-250, 8.9e-250j)
| (-3.5818234835519269228 - 1.0969239170318513372e-883j)  +/-  (2.12e-248, 2.12e-248j)
| (-0.97288943343818073908 + 1.868712200692609215e-891j)  +/-  (1.53e-252, 1.53e-252j)
| (-6.0717968865391385036 - 9.3156715830391899824e-890j)  +/-  (4.03e-247, 4.03e-247j)
| (0.97288943343818073908 + 1.1531159080216203496e-896j)  +/-  (1.29e-252, 1.29e-252j)
| (4.8594628283323121502 - 3.0599902429153378859e-891j)  +/-  (4.89e-246, 4.89e-246j)
-------------------------------------------------
The weights are:
| (0.029241353334081976703 - 9.6696896662953954278e-767j)  +/-  (1.83e-75, 1.78e-198j)
| (4.050286959617661481e-05 - 2.3509640754826287511e-767j)  +/-  (2.68e-86, 2.6e-209j)
| (1.3613275159028674937e-13 - 3.1306453730218309268e-774j)  +/-  (9.26e-95, 9e-218j)
| (1.3613275159028674937e-13 + 1.0847457711416310123e-773j)  +/-  (5.28e-95, 5.13e-218j)
| (2.351284243188309706e-20 + 7.6882083562279896576e-778j)  +/-  (3.62e-98, 3.52e-221j)
| (1.7100244732622276795e-16 + 5.3561936532281383407e-776j)  +/-  (8.37e-97, 8.13e-220j)
| (3.0182640584475504236e-11 + 1.0181412602423055447e-772j)  +/-  (3.34e-94, 3.25e-217j)
| (1.2216688482327783864e-07 + 5.9983868501753677126e-770j)  +/-  (1.74e-92, 1.69e-215j)
| (2.351284243188309706e-20 - 2.9752301469308309031e-778j)  +/-  (1.56e-99, 1.52e-222j)
| (0.0095887849313703918078 + 1.6764259059742859004e-766j)  +/-  (6.78e-87, 6.59e-210j)
| (0.00037399320911153204486 + 5.5555638960334061797e-768j)  +/-  (1.25e-89, 1.22e-212j)
| (2.7106133045252948366e-09 - 2.4153541293559478425e-771j)  +/-  (1.54e-93, 1.49e-216j)
| (1.2216688482327783864e-07 - 4.6536824313726828282e-769j)  +/-  (1.26e-95, 1.22e-218j)
| (0.029241353334081976703 - 2.6983595211493294089e-766j)  +/-  (1.26e-86, 1.23e-209j)
| (3.0182640584475504236e-11 - 4.2632935052837792359e-772j)  +/-  (3.94e-98, 3.83e-221j)
| (1.7100244732622276795e-16 - 1.5895710839211628387e-775j)  +/-  (1.01e-100, 9.78e-224j)
| (4.1525895633903192068e-06 + 4.2006921847183648456e-768j)  +/-  (3.74e-94, 3.63e-217j)
| (4.050286959617661481e-05 - 1.9835614701852524075e-768j)  +/-  (2.32e-93, 2.25e-216j)
| (0.067644466835632845175 + 3.9130545483367259664e-766j)  +/-  (2.99e-88, 2.9e-211j)
| (-1.4561289218984716717e-06 + 4.7883120040109668412e-767j)  +/-  (5.74e-96, 5.57e-219j)
| (0.0022791932643416011397 - 1.6109630229902464795e-767j)  +/-  (1.06e-93, 1.03e-216j)
| (0.067644466835632845175 + 1.8752305862099196618e-766j)  +/-  (6.85e-91, 6.66e-214j)
| (4.1525895633903192068e-06 - 5.8782428640900534559e-767j)  +/-  (6.36e-96, 6.18e-219j)
| (0.1723936264494085302 + 5.5225711126983920974e-766j)  +/-  (9.9e-92, 9.65e-215j)
| (0.0022791932643416011397 - 1.0101908664101453444e-766j)  +/-  (4.35e-95, 4.23e-218j)
| (0.19323054683733253843 - 5.2963979368868350589e-766j)  +/-  (5.97e-92, 5.81e-215j)
| (0.1723936264494085302 + 4.3708243744150545266e-766j)  +/-  (2.53e-92, 2.47e-215j)
| (0.0095887849313703918078 + 4.2450072071744085303e-767j)  +/-  (2.05e-94, 2.02e-217j)
| (0.00037399320911153204486 + 7.3510540827479427119e-767j)  +/-  (5.58e-96, 5.42e-219j)
| (0.12181998431933211309 - 4.982199218688898434e-766j)  +/-  (7.14e-94, 6.52e-217j)
| (2.7106133045252948366e-09 + 1.2983763403930071549e-770j)  +/-  (1.35e-99, 1.3e-222j)
| (0.12181998431933211309 - 3.0954624658870863862e-766j)  +/-  (3.01e-94, 2.36e-217j)
| (-1.4561289218984716717e-06 - 3.6723502538278300464e-768j)  +/-  (8e-97, 8.92e-220j)
