Starting with polynomial:
P : t^11 - 55*t^9 + 990*t^7 - 6930*t^5 + 17325*t^3 - 10395*t
Extension levels are: 11 24
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Trying to find an order 24 Kronrod extension for:
P1 : t^11 - 55*t^9 + 990*t^7 - 6930*t^5 + 17325*t^3 - 10395*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 3045220283195/6375988649*t^33 + 10921197973238520/108391807033*t^31 - 1347263793394475440/108391807033*t^29 + 108463139171927466850/108391807033*t^27 - 42160094663885815481370/758742649231*t^25 + 1664240022870912941305500/758742649231*t^23 - 47433691561892141816293500/758742649231*t^21 + 140210800055051143455873000/108391807033*t^19 - 123536736743033421435375000/6375988649*t^17 + 1324950390092310724935918000/6375988649*t^15 - 9976214721250138701452805000/6375988649*t^13 + 51137118328905336063301143750/6375988649*t^11 - 170424746859450337714139501250/6375988649*t^9 + 344442918933918651569950012500/6375988649*t^7 - 377632866662011882348349422500/6375988649*t^5 + 183753985071314266047398334375/6375988649*t^3 - 24982862807499147415342603125/6375988649*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
Positive weights:   35 out of 35
Indefinite weights: 0 out of 35
Negative weights:   0 out of 35
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (3.9361666071299769287 + 3.5072091633354407865e-673j)  +/-  (1.97e-247, 1.97e-247j)
| (7.1654967311979287767 + 3.7332301096082523051e-682j)  +/-  (3.63e-247, 3.63e-247j)
| (7.9231128858291452995 + 1.1756246427368299129e-712j)  +/-  (1.47e-247, 1.47e-247j)
| (-7.9231128858291452995 - 6.8401787631708305719e-741j)  +/-  (1.47e-247, 1.47e-247j)
| (-7.1654967311979287767 + 1.5434840459587517332e-770j)  +/-  (3.8e-247, 3.8e-247j)
| (4.4007412785572250326 + 5.2117617678482811545e-781j)  +/-  (9.81e-247, 9.81e-247j)
| (1.8760350201548458453 - 9.782825356184873533e-789j)  +/-  (1.27e-250, 1.27e-250j)
| (-8.76844040971120333 + 2.1396284230321006273e-792j)  +/-  (4.23e-248, 4.23e-248j)
| (9.7840188612109183417 - 9.6493240571785522133e-804j)  +/-  (4.73e-249, 4.73e-249j)
| (-9.7840188612109183417 + 1.1493588663745932644e-808j)  +/-  (4.92e-249, 4.92e-249j)
| (-6.4647922907945944611 - 4.8500661027957840168e-825j)  +/-  (5.74e-247, 5.74e-247j)
| (-1.8760350201548458453 + 3.0984492871861009691e-841j)  +/-  (1.31e-250, 1.31e-250j)
| (8.76844040971120333 - 3.3637958179571337767e-839j)  +/-  (4.17e-248, 4.17e-248j)
| (-3.3936432314981718672 - 3.1881074322170385203e-837j)  +/-  (3.68e-248, 3.68e-248j)
| (5.1880012243748709482 + 1.2729114317692092931e-842j)  +/-  (9.32e-247, 9.32e-247j)
| (1.4013327634125618107 + 2.75598531449827867e-850j)  +/-  (1.49e-251, 1.49e-251j)
| (-5.8066281116155482535 + 5.2613911398327723626e-850j)  +/-  (7.2e-247, 7.2e-247j)
| (-5.1880012243748709482 + 1.1185315603195596519e-858j)  +/-  (9.36e-247, 9.36e-247j)
| (-2.8651231606436449977 + 8.6805299047474763553e-870j)  +/-  (5.8e-249, 5.8e-249j)
| (-2.3602163637523532807 + 1.4327536371267725802e-871j)  +/-  (1.05e-249, 1.05e-249j)
| (2.8651231606436449977 - 4.0675952223207160672e-874j)  +/-  (5.69e-249, 5.69e-249j)
| (3.3936432314981718672 + 5.8911629734733502318e-872j)  +/-  (3.47e-248, 3.47e-248j)
| (5.8066281116155482535 + 2.330994720799285977e-871j)  +/-  (7.57e-247, 7.57e-247j)
| (-4.4007412785572250326 + 3.2964153524569940831e-871j)  +/-  (9.69e-247, 9.69e-247j)
| (-1.4013327634125618107 + 9.6602486837172219009e-888j)  +/-  (1.49e-251, 1.49e-251j)
| (6.4647922907945944611 - 1.5391097142139372422e-882j)  +/-  (6.2e-247, 6.2e-247j)
| (1.1014716111014180004e-890 + 1.3841812305652272188e-890j)  +/-  (6.19e-889, 6.19e-889j)
| (2.3602163637523532807 + 4.9712062020152601525e-886j)  +/-  (1.04e-249, 1.04e-249j)
| (-4.6619858971640010963 - 2.0061563035760453628e-890j)  +/-  (1.32e-246, 1.32e-246j)
| (-0.92886899738106394014 + 7.2068524650980650234e-910j)  +/-  (1.23e-252, 1.23e-252j)
| (-3.9361666071299769287 - 1.0115228973765639589e-908j)  +/-  (1.94e-247, 1.94e-247j)
| (0.46112497830733630225 + 3.3780663250899611353e-922j)  +/-  (8.11e-254, 8.11e-254j)
| (0.92886899738106394014 + 1.076211913937521115e-921j)  +/-  (1.23e-252, 1.23e-252j)
| (4.6619858971640010963 - 9.8234566759747591106e-917j)  +/-  (1.24e-246, 1.24e-246j)
| (-0.46112497830733630225 + 2.5490673009640996852e-929j)  +/-  (8.11e-254, 8.11e-254j)
-------------------------------------------------
The weights are:
| (9.2903214205762062771e-05 - 3.9112592615374781619e-677j)  +/-  (1.37e-82, 1.75e-205j)
| (2.0533181395663613582e-12 + 4.0379062981530994111e-683j)  +/-  (1.05e-91, 1.34e-214j)
| (7.4001599831436657212e-15 - 1.0611551410067517474e-684j)  +/-  (2.93e-93, 3.74e-216j)
| (7.4001599831436657212e-15 + 3.5674751935476694993e-685j)  +/-  (2.47e-95, 3.15e-218j)
| (2.0533181395663613582e-12 - 1.1745746606217709913e-683j)  +/-  (3.78e-94, 4.82e-217j)
| (7.5893769816228244869e-06 - 4.0229914682287026311e-677j)  +/-  (2.97e-87, 3.79e-210j)
| (0.032774507358677052926 - 4.2511253255038252821e-676j)  +/-  (4.92e-78, 6.29e-201j)
| (7.3032279627418999262e-18 - 5.7890248812276660013e-687j)  +/-  (2.78e-97, 3.55e-220j)
| (7.6237640735921809555e-22 - 6.9318026844334236362e-689j)  +/-  (1.73e-99, 2.2e-222j)
| (7.6237640735921809555e-22 + 2.954490523922257446e-689j)  +/-  (2.15e-99, 2.75e-222j)
| (2.2736578981173938961e-10 + 2.5920953704958363865e-682j)  +/-  (4.28e-94, 5.47e-217j)
| (0.032774507358677052926 - 1.5068089727239320475e-676j)  +/-  (5.63e-83, 7.2e-206j)
| (7.3032279627418999262e-18 + 1.5220016317863762773e-686j)  +/-  (3.43e-98, 4.39e-221j)
| (0.00067814629053937105923 + 1.0245195053938700542e-677j)  +/-  (2.73e-89, 3.49e-212j)
| (3.3901611997545057739e-07 - 5.0681304632915742926e-679j)  +/-  (1.59e-92, 2.03e-215j)
| (0.070739902686953737531 + 5.8321770191550213386e-676j)  +/-  (6.46e-82, 8.25e-205j)
| (1.2161220467055156767e-08 - 4.4512621902130939938e-681j)  +/-  (6.99e-94, 8.93e-217j)
| (3.3901611997545057739e-07 + 6.953468278834324111e-680j)  +/-  (2.7e-93, 3.45e-216j)
| (0.0034039498913314974043 - 2.7793970598289654385e-677j)  +/-  (3.71e-89, 4.74e-212j)
| (0.012139987171671673117 + 6.975254037026288808e-677j)  +/-  (6.24e-88, 7.97e-211j)
| (0.0034039498913314974043 - 1.7649596611194423227e-676j)  +/-  (1.59e-90, 2.04e-213j)
| (0.00067814629053937105923 + 1.3841860992132884603e-676j)  +/-  (1.55e-91, 1.98e-214j)
| (1.2161220467055156767e-08 + 2.3185579416639585892e-680j)  +/-  (2.05e-96, 2.61e-219j)
| (7.5893769816228244869e-06 + 2.241814309506047251e-678j)  +/-  (2.27e-94, 2.88e-217j)
| (0.070739902686953737531 + 2.7697613928183611463e-676j)  +/-  (1.58e-89, 2.02e-212j)
| (2.2736578981173938961e-10 - 1.0662027828596058029e-681j)  +/-  (5.81e-98, 7.45e-221j)
| (0.18331709387116899234 - 7.5295328589838078003e-676j)  +/-  (4.76e-90, 6.01e-213j)
| (0.012139987171671673117 + 2.786818360590898788e-676j)  +/-  (1.05e-91, 1.34e-214j)
| (2.9492604798427669545e-06 - 9.4237475547815742263e-679j)  +/-  (7.59e-95, 9.61e-218j)
| (0.12204600936049045143 - 4.4245603973235002404e-676j)  +/-  (1.94e-91, 2.31e-214j)
| (9.2903214205762062771e-05 - 4.138938168634828357e-678j)  +/-  (3.63e-94, 4.59e-217j)
| (0.16645515704631753479 + 7.8503235339127129151e-676j)  +/-  (1.16e-91, 1.41e-214j)
| (0.12204600936049045143 - 7.1578030047616535824e-676j)  +/-  (4.85e-92, 5.88e-215j)
| (2.9492604798427669545e-06 + 1.1163497546847617157e-677j)  +/-  (2.36e-95, 3.33e-218j)
| (0.16645515704631753479 + 6.2038644811335728353e-676j)  +/-  (5.85e-92, 5.93e-215j)
