Starting with polynomial:
P : t
Extension levels are: 1 44
-------------------------------------------------
Trying to find an order 44 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^45 - 990*t^43 + 446985*t^41 - 122175900*t^39 + 22633085475*t^37 - 3014726985270*t^35 + 298960426039275*t^33 - 22550157849819600*t^31 + 1310727925020764250*t^29 - 59128393062047809500*t^27 + 2075406596477878113450*t^25 - 56601998085760312185000*t^23 + 1193358792974779915233750*t^21 - 19277334348054137092237500*t^19 + 235458869536946960198043750*t^17 - 2134827083801652439128930000*t^15 + 14009802737448344131783603125*t^13 - 64280271383586520134065943750*t^11 + 196411940338736589298534828125*t^9 - 372148939589185116565644937500*t^7 + 390756386568644372393927184375*t^5 - 186074469794592558282822468750*t^3 + 25373791335626257947657609375*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:
| (7.9365440569281182706 - 1.545664746301369293e-614j)  +/-  (2.75e-244, 2.75e-244j)
| (-7.3709643321706077353 + 5.4673903741599937531e-635j)  +/-  (2.32e-244, 2.32e-244j)
| (9.1405076512186844818 - 2.0407643486013890725e-650j)  +/-  (1.12e-244, 1.12e-244j)
| (-10.500997619335883339 - 1.9166715229078756418e-658j)  +/-  (1.92e-245, 1.92e-245j)
| (-9.794252095357153232 - 7.162636092785421164e-660j)  +/-  (5.22e-245, 5.22e-245j)
| (-11.290656558016743078 + 1.2707387164011480354e-662j)  +/-  (2.71e-246, 2.71e-246j)
| (4.263596248773440219 + 5.0276274661501185856e-662j)  +/-  (1.7e-246, 1.7e-246j)
| (10.500997619335883339 + 1.2681634578346881839e-662j)  +/-  (1.88e-245, 1.88e-245j)
| (11.290656558016743078 - 2.863776151167679455e-668j)  +/-  (2.92e-246, 2.92e-246j)
| (1.3996944325790616268 + 9.8188226430787885827e-678j)  +/-  (1.52e-251, 1.52e-251j)
| (-6.2903781889039430273 - 4.3923636462610824947e-669j)  +/-  (9.46e-245, 9.46e-245j)
| (-7.9365440569281182706 - 1.0551392517845039738e-672j)  +/-  (2.28e-244, 2.28e-244j)
| (-3.2930782640010830538 + 2.2431981934623616431e-681j)  +/-  (8.07e-248, 8.07e-248j)
| (-2.8149149627820115978 + 1.857787517136477513e-682j)  +/-  (1.06e-248, 1.06e-248j)
| (-12.241648017382934181 - 1.0873660483569829083e-680j)  +/-  (2.44e-247, 2.44e-247j)
| (-9.1405076512186844818 + 1.948876674992926294e-677j)  +/-  (1.31e-244, 1.31e-244j)
| (3.2930782640010830538 + 2.2749390760259278468e-686j)  +/-  (7.93e-248, 7.93e-248j)
| (-6.8233065175914172816 + 5.8319443734250382671e-687j)  +/-  (2.01e-244, 2.01e-244j)
| (-1.3996944325790616268 - 4.8953175720889134616e-708j)  +/-  (1.58e-251, 1.58e-251j)
| (7.3709643321706077353 + 2.3123236395547615185e-701j)  +/-  (2.23e-244, 2.23e-244j)
| (5.7697225036922195831 + 7.0698115245126473976e-719j)  +/-  (5.04e-245, 5.04e-245j)
| (12.241648017382934181 - 1.9082172488838711953e-732j)  +/-  (2.04e-247, 2.04e-247j)
| (5.2593890884500474258 + 3.6568060824162656761e-741j)  +/-  (2.03e-245, 2.03e-245j)
| (9.794252095357153232 - 1.0679175102933849913e-756j)  +/-  (5.11e-245, 5.11e-245j)
| (-0.46581917817836870572 - 7.6421848288715947366e-775j)  +/-  (8.14e-254, 8.14e-254j)
| (-8.5243553486209565044 - 2.0206120239088498112e-764j)  +/-  (1.64e-244, 1.64e-244j)
| (0.93219540020255643375 - 1.8333279074404977963e-777j)  +/-  (9.45e-253, 9.45e-253j)
| (2.3404232050748671679 - 5.0204853757281671734e-774j)  +/-  (1.66e-249, 1.66e-249j)
| (-4.7577886188719587922 + 5.984963511540127003e-769j)  +/-  (7.2e-246, 7.2e-246j)
| (-1.8688998900868870512 + 1.4878251729991038118e-774j)  +/-  (1.57e-250, 1.57e-250j)
| (-5.2593890884500474258 - 7.02854284651839716e-768j)  +/-  (1.7e-245, 1.7e-245j)
| (3.775684997351201502 - 1.149704627871867744e-770j)  +/-  (4.58e-247, 4.58e-247j)
| (1.8688998900868870512 - 3.0205688167979719635e-781j)  +/-  (1.6e-250, 1.6e-250j)
| (8.5243553486209565044 + 6.818649542510707417e-774j)  +/-  (2.03e-244, 2.03e-244j)
| (-5.7697225036922195831 - 3.4969537182099939857e-783j)  +/-  (4.28e-245, 4.28e-245j)
| (-4.263596248773440219 + 4.0481908690024893212e-789j)  +/-  (1.73e-246, 1.73e-246j)
| (5.2992989833366910367e-816 - 1.7217270091985362506e-816j)  +/-  (2.51e-814, 2.51e-814j)
| (0.46581917817836870572 + 1.8494737052752417822e-806j)  +/-  (9.8e-254, 9.8e-254j)
| (6.2903781889039430273 - 3.6787557068014509348e-796j)  +/-  (9.44e-245, 9.44e-245j)
| (-2.3404232050748671679 - 5.2166840939597104975e-819j)  +/-  (1.69e-249, 1.69e-249j)
| (-3.775684997351201502 + 6.9276850120189888568e-814j)  +/-  (3.55e-247, 3.55e-247j)
| (6.8233065175914172816 + 1.289637420325156218e-818j)  +/-  (1.8e-244, 1.8e-244j)
| (4.7577886188719587922 - 7.4066052815446119427e-840j)  +/-  (8.55e-246, 8.55e-246j)
| (2.8149149627820115978 - 3.8449209884267068244e-853j)  +/-  (1.25e-248, 1.25e-248j)
| (-0.93219540020255643375 + 2.9901064906800424717e-862j)  +/-  (1.35e-252, 1.35e-252j)
-------------------------------------------------
The weights are:
| (4.8238702869483447161e-15 + 2.9587778480971019955e-628j)  +/-  (1.75e-74, 1.55e-195j)
| (3.5329767895712444802e-13 - 4.1684922482242579331e-629j)  +/-  (1.07e-73, 9.46e-195j)
| (1.8194154217810188513e-19 - 3.803344748294465424e-631j)  +/-  (1.83e-77, 1.62e-198j)
| (3.3558982158459878593e-25 + 3.3729856016295617395e-635j)  +/-  (9.26e-81, 8.18e-202j)
| (3.9909217645671260268e-22 - 1.2095434736699635833e-633j)  +/-  (1.14e-79, 1.01e-200j)
| (7.0494524380290660924e-29 - 4.6878612259224116744e-637j)  +/-  (1.71e-82, 1.51e-203j)
| (2.2106807141298168192e-05 - 1.3742361423712689307e-624j)  +/-  (7.99e-68, 7.05e-189j)
| (3.3558982158459878593e-25 - 2.425060976541672317e-634j)  +/-  (6.37e-83, 5.62e-204j)
| (7.0494524380290660924e-29 + 2.687281604793433468e-636j)  +/-  (1.57e-84, 1.38e-205j)
| (0.070140332209734467647 - 4.3493917565588227594e-623j)  +/-  (7.34e-53, 6.48e-174j)
| (5.3701070616709938353e-10 - 1.7486126918943450698e-627j)  +/-  (1.85e-75, 1.63e-196j)
| (4.8238702869483447161e-15 + 4.69731295497441282e-630j)  +/-  (1.83e-78, 1.62e-199j)
| (0.00084635652553851746335 - 2.7811514255042196813e-624j)  +/-  (8.4e-68, 7.41e-189j)
| (0.0036148025252847930448 + 6.0032716642102413622e-624j)  +/-  (8.08e-66, 7.13e-187j)
| (1.2586012667617326391e-33 + 1.8874477707909461735e-639j)  +/-  (3.32e-87, 2.93e-208j)
| (1.8194154217810188513e-19 + 2.6814280894273142377e-632j)  +/-  (4.76e-81, 4.2e-202j)
| (0.00084635652553851746335 - 6.7258555394761368859e-624j)  +/-  (2.71e-71, 2.4e-192j)
| (1.6723735784722372867e-11 + 2.9743892320023348133e-628j)  +/-  (4.01e-77, 3.54e-198j)
| (0.070140332209734467647 - 3.0452649535422473943e-623j)  +/-  (1.65e-61, 1.45e-182j)
| (3.5329767895712444802e-13 - 1.1282092915714707432e-627j)  +/-  (6.74e-82, 5.95e-203j)
| (1.2137319718199660403e-08 + 5.4582240846197387635e-626j)  +/-  (2.12e-79, 1.87e-200j)
| (1.2586012667617326391e-33 - 8.8465421506862719108e-639j)  +/-  (4.01e-91, 3.54e-212j)
| (1.987368663904519585e-07 - 1.7876348793736066416e-625j)  +/-  (1.1e-78, 9.68e-200j)
| (3.9909217645671260268e-22 + 1.1544423733615879693e-632j)  +/-  (3.98e-86, 3.51e-207j)
| (0.16679455536492150609 - 5.217982220419456468e-623j)  +/-  (2.13e-67, 1.88e-188j)
| (3.9873883949890406994e-17 - 4.1181657427080257334e-631j)  +/-  (9.96e-83, 8.79e-204j)
| (0.12060955967502577057 + 5.3227518829341574655e-623j)  +/-  (2.24e-68, 1.98e-189j)
| (0.012196449810369717932 - 2.1185696376204780789e-623j)  +/-  (7.01e-73, 6.19e-194j)
| (2.4121676760232760059e-06 + 1.3134301561292650011e-625j)  +/-  (7.94e-79, 7.01e-200j)
| (0.03271890357088915539 + 1.9803649064731844966e-623j)  +/-  (2.71e-72, 2.39e-193j)
| (1.987368663904519585e-07 - 3.626704944936729084e-626j)  +/-  (1.51e-79, 1.34e-200j)
| (0.00015528891031995773364 + 3.215143254586179068e-624j)  +/-  (4.54e-78, 4.01e-199j)
| (0.03271890357088915539 + 3.2003124361143067927e-623j)  +/-  (7.96e-74, 7.03e-195j)
| (3.9873883949890406994e-17 + 1.1532393641311369835e-629j)  +/-  (7.96e-86, 7.02e-207j)
| (1.2137319718199660403e-08 + 8.6288979837336903879e-627j)  +/-  (1.36e-80, 1.2e-201j)
| (2.2106807141298168192e-05 - 4.1372455566356212781e-625j)  +/-  (2.48e-79, 2.19e-200j)
| (0.18579804200964016094 + 5.8304523079287740477e-623j)  +/-  (2.51e-74, 2.21e-195j)
| (0.16679455536492150609 - 5.8686918179791261372e-623j)  +/-  (1.55e-74, 1.37e-195j)
| (5.3701070616709938353e-10 - 1.5112314796998693531e-626j)  +/-  (1.35e-83, 1.19e-204j)
| (0.012196449810369717932 - 1.1536255222905563833e-623j)  +/-  (7.19e-78, 6.35e-199j)
| (0.00015528891031995773364 + 1.1422042616042126709e-624j)  +/-  (3.26e-79, 2.88e-200j)
| (1.6723735784722372867e-11 + 3.9435914675471853792e-627j)  +/-  (1.95e-84, 1.72e-205j)
| (2.4121676760232760059e-06 + 5.2451721037491024e-625j)  +/-  (5.98e-82, 5.27e-203j)
| (0.0036148025252847930448 + 1.2602226380609156263e-623j)  +/-  (3.79e-80, 3.36e-201j)
| (0.12060955967502577057 + 4.2038003463206248573e-623j)  +/-  (3.49e-79, 2.93e-200j)
