Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 25
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Trying to find an order 25 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^27 - 8750463649477303436739277205122168772473173/25630631753383395268019020534360288153774*t^26 + 31791219673694777688575307973177733869515337151/294752265163909045582218736145143313768401*t^25 - 6176724213539220003059196446337790198399398479375/294752265163909045582218736145143313768401*t^24 + 827526655781961403107962262121225418010256503030000/294752265163909045582218736145143313768401*t^23 - 3532669807615808693834036539408981360275371610438000/12815315876691697634009510267180144076887*t^22 + 263748031163115535923517131578660300202816489140532000/12815315876691697634009510267180144076887*t^21 - 15334550140464285056086472182597777761483369197455716000/12815315876691697634009510267180144076887*t^20 + 705415024693377933038962618635148990951861483452625800000/12815315876691697634009510267180144076887*t^19 - 25946628363769344152171283718763361310241590573680298200000/12815315876691697634009510267180144076887*t^18 + 768179246811207609203240282354283432373554382527299941680000/12815315876691697634009510267180144076887*t^17 - 18372067067708421765734107259694287150127045573608628934320000/12815315876691697634009510267180144076887*t^16 + 355337029034766646290011630541110981916895053136734149084160000/12815315876691697634009510267180144076887*t^15 - 5551470407235213541942578227370880654135778951905697292672000000/12815315876691697634009510267180144076887*t^14 + 69828524993991363778259216260189088810154962934220990564608000000/12815315876691697634009510267180144076887*t^13 - 703318437358117992029665243779723456879310642198177749191116800000/12815315876691697634009510267180144076887*t^12 + 5628627895608122067596192047278714696303399414886101775083571200000/12815315876691697634009510267180144076887*t^11 - 35423805636356145253969117042151818081220083633372897610668185600000/12815315876691697634009510267180144076887*t^10 + 172985601186733853181474740674407886250215544788293595639825920000000/12815315876691697634009510267180144076887*t^9 - 644290922798409475215769580752076682196159734597774257203054080000000/12815315876691697634009510267180144076887*t^8 + 1790281102735710169008270616918833290598360441858626163351085056000000/12815315876691697634009510267180144076887*t^7 - 3606255869399106012127599033789625332159300905807606447528484864000000/12815315876691697634009510267180144076887*t^6 + 5068645275178043348077061976904170855306609233578610159308357632000000/12815315876691697634009510267180144076887*t^5 - 4715344214251337246047437087330915859056027109935344461599129600000000/12815315876691697634009510267180144076887*t^4 + 2688087082541441141090509047545601003602786209096168554182246400000000/12815315876691697634009510267180144076887*t^3 - 830341504060674488635002540706860323276741560647442763376328704000000/12815315876691697634009510267180144076887*t^2 + 110703549916551995781329654112423337248101858846607526522454016000000/12815315876691697634009510267180144076887*t - 3620547355587802066230791397083136568688117383710194624299008000000/12815315876691697634009510267180144076887
-------------------------------------------------
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:
| (89.264355621326082636 + 6.4560085099113327689e-720j)  +/-  (3.75e-245, 3.75e-245j)
| (47.662114231685220145 + 4.4820634389091624267e-716j)  +/-  (7.15e-242, 7.15e-242j)
| (68.128234592817132839 + 2.4595738148058615845e-720j)  +/-  (3.98e-243, 3.98e-243j)
| (60.379966149395730914 - 3.6372069704779007932e-726j)  +/-  (1.48e-242, 1.48e-242j)
| (77.354349692184708647 - 8.8436484176222229014e-734j)  +/-  (6.01e-244, 6.01e-244j)
| (13.679041079979118393 + 1.6420484006807209043e-734j)  +/-  (1.68e-243, 1.68e-243j)
| (53.639857634567338437 + 8.2495566958633068319e-737j)  +/-  (3.76e-242, 3.76e-242j)
| (42.29744930996695138 + 1.7020453215377960734e-755j)  +/-  (1.04e-241, 1.04e-241j)
| (5.970314274945784823 - 3.6814916717261675642e-774j)  +/-  (4.34e-246, 4.34e-246j)
| (7.5637794425556881641 - 6.0537495234415017865e-771j)  +/-  (2.48e-245, 2.48e-245j)
| (3.4142135623730950488 + 6.3263729528830376211e-776j)  +/-  (9.47e-248, 9.47e-248j)
| (2.443522622163850377 - 1.8537606156880437837e-776j)  +/-  (1.21e-248, 1.21e-248j)
| (18.966354963666569863 - 1.0833874220763038302e-786j)  +/-  (1.26e-242, 1.26e-242j)
| (37.446529379577055657 - 2.4929533138390340108e-816j)  +/-  (1.12e-241, 1.12e-241j)
| (11.409856960712793861 - 1.0300141228511050179e-834j)  +/-  (4.99e-244, 4.99e-244j)
| (1.6666950991410027325 - 4.091895263075633619e-855j)  +/-  (1.32e-249, 1.32e-249j)
| (9.3745062748388670597 - 8.3446523752701203208e-855j)  +/-  (1.12e-244, 1.12e-244j)
| (29.023005988977350958 - 1.4993222631640747082e-888j)  +/-  (8.12e-242, 8.12e-242j)
| (25.358622177154793625 - 2.0306566750881160294e-920j)  +/-  (4.92e-242, 4.92e-242j)
| (16.193320642058019579 + 3.2092251487778473357e-934j)  +/-  (5.66e-243, 5.66e-243j)
| (4.588490503360428839 + 9.0276932763023469848e-949j)  +/-  (6.83e-247, 6.83e-247j)
| (1.0580149516642802106 + 3.214130110843772288e-952j)  +/-  (1.23e-250, 1.23e-250j)
| (0.04688711800579664996 + 5.3819574760932681974e-965j)  +/-  (6e-255, 6e-255j)
| (33.039051751878255742 + 5.7331298035088633055e-943j)  +/-  (9.98e-242, 9.98e-242j)
| (22.014715115443371445 + 2.9349943428513466772e-952j)  +/-  (2.8e-242, 2.8e-242j)
| (0.24391524373244515737 - 6.2745239368144657138e-973j)  +/-  (3.37e-253, 3.37e-253j)
| (0.5857864376269049512 - 4.8982773908112965777e-973j)  +/-  (8.2e-252, 8.2e-252j)
-------------------------------------------------
The weights are:
| (2.4355322933144089992e-38 - 1.2963857576720661402e-746j)  +/-  (1.68e-100, 1.14e-219j)
| (1.1291870837936774851e-20 - 2.585223440147620668e-736j)  +/-  (5.8e-94, 3.96e-213j)
| (2.1648002656974091161e-29 - 9.0156224584755795185e-742j)  +/-  (6.27e-98, 4.28e-217j)
| (4.3064147691765474741e-26 + 6.8829181415280367088e-740j)  +/-  (7.72e-97, 5.27e-216j)
| (2.6054440493391883311e-33 + 6.3898695112113111244e-744j)  +/-  (1.05e-99, 7.15e-219j)
| (2.7390862733215296937e-06 + 4.4831265290197162427e-730j)  +/-  (3.63e-86, 2.48e-205j)
| (3.2047130164209234715e-23 - 4.2445964940276729023e-738j)  +/-  (4.98e-96, 3.4e-215j)
| (2.175308573053017849e-18 + 1.3926072485364794628e-735j)  +/-  (8.3e-95, 5.67e-214j)
| (0.0037965766399831517004 + 2.1619241500948881375e-728j)  +/-  (1.7e-81, 1.16e-200j)
| (0.00088267517673042308697 - 9.4793834966427998955e-729j)  +/-  (2.93e-83, 2e-202j)
| (0.035260149204360239033 + 8.4335075224166505534e-728j)  +/-  (2.14e-78, 1.46e-197j)
| (0.075659175787081267685 - 1.4023622514928388344e-727j)  +/-  (1.27e-76, 8.68e-196j)
| (1.6848465886420486655e-08 + 3.490404390777890372e-731j)  +/-  (7.88e-91, 5.38e-210j)
| (2.5220378644674402975e-16 - 8.3871194738538335332e-735j)  +/-  (3.39e-95, 2.31e-214j)
| (2.3840521706660143104e-05 - 1.3695447301644735175e-729j)  +/-  (1.75e-87, 1.19e-206j)
| (0.12973930530830196832 + 1.9629028648188213039e-727j)  +/-  (3.5e-79, 2.39e-198j)
| (0.00016307251503053321422 + 3.7823858251677974613e-729j)  +/-  (2.24e-86, 1.53e-205j)
| (9.5315969135028384987e-13 - 3.2272869714524228777e-733j)  +/-  (1.27e-94, 8.64e-214j)
| (3.3954721413288271052e-11 + 1.7280219241042045903e-732j)  +/-  (5.72e-94, 3.91e-213j)
| (2.4497659983227496568e-07 - 1.3212057737347957895e-730j)  +/-  (1.9e-91, 1.3e-210j)
| (0.012989525070277428807 - 4.4887636618906122125e-728j)  +/-  (1.45e-87, 9.87e-207j)
| (0.18625633745867461021 - 2.1664142093549920763e-727j)  +/-  (1.17e-86, 7.97e-206j)
| (0.114480356373462738 + 3.2086267289752180923e-728j)  +/-  (2.33e-87, 1.59e-206j)
| (1.8837019766677849014e-14 + 5.4043456918611193311e-734j)  +/-  (6.07e-96, 4.15e-215j)
| (8.775053341271417967e-10 - 8.2322916171591599769e-732j)  +/-  (2.35e-93, 1.6e-212j)
| (0.21322960582838699897 - 1.0557541721424101909e-727j)  +/-  (1.34e-88, 9.25e-208j)
| (0.22751637829223263396 + 1.7973205591552825248e-727j)  +/-  (1.85e-88, 1.25e-207j)
