Starting with polynomial:
P : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Extension levels are: 10 17
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Trying to find an order 17 Kronrod extension for:
P1 : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Solvable: 1
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Ending with final polynomial:
P : 1024*t^27 - 1092573126144/7930307*t^25 + 62094972556800/7930307*t^23 - 40001882054400/161843*t^21 + 5432954427288000/1132901*t^19 - 67772408734147680/1132901*t^17 + 552842580150498240/1132901*t^15 - 420613817018378400/161843*t^13 + 10056556300170357900/1132901*t^11 - 1931695812404660250/102991*t^9 + 339133387971906450/14713*t^7 - 218298292378384725/14713*t^5 + 242427777674779125/58852*t^3 - 36876618764051625/117704*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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
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The nodes are:
| (-2.1320026861291866119 - 6.0082740470700223663e-455j)  +/-  (2.98e-122, 2.98e-122j)
| (2.9669248150080784531 + 4.4514859900158172838e-456j)  +/-  (1.17e-121, 1.17e-121j)
| (-5.1153572537538203241 + 7.516660412004576706e-460j)  +/-  (5.17e-122, 5.17e-122j)
| (-2.9669248150080784531 + 6.238858285877586976e-461j)  +/-  (1.15e-121, 1.15e-121j)
| (4.4956690936722874046 + 3.5882277763667494293e-460j)  +/-  (1.21e-121, 1.21e-121j)
| (2.5327316742327897964 - 2.8535942499968327759e-472j)  +/-  (7.41e-122, 7.41e-122j)
| (2.1320026861291866119 - 4.3339846918199089554e-484j)  +/-  (2.56e-122, 2.56e-122j)
| (-1.7566836492998817735 + 1.0872023436723135419e-491j)  +/-  (9.07e-123, 9.07e-123j)
| (-3.9429212713935625802 - 1.3653543186347993282e-489j)  +/-  (1.86e-121, 1.86e-121j)
| (5.8614296370964489222 + 1.1817015089014231899e-494j)  +/-  (9.97e-123, 9.97e-123j)
| (3.4361591188377376033 - 8.3623266460655260559e-493j)  +/-  (1.7e-121, 1.7e-121j)
| (-5.8614296370964489222 + 1.6862004977424784809e-502j)  +/-  (7.67e-123, 7.67e-123j)
| (-0.68707370238444380721 + 2.3322025613040820021e-502j)  +/-  (2.62e-125, 2.62e-125j)
| (-2.5327316742327897964 - 1.4787979993055110895e-500j)  +/-  (6.96e-122, 6.96e-122j)
| (1.7566836492998817735 + 7.9113683726432743411e-504j)  +/-  (9.48e-123, 9.48e-123j)
| (0.34290132722370460879 - 2.4528585890735370061e-510j)  +/-  (1.95e-126, 1.95e-126j)
| (3.9429212713935625802 + 3.3431974658683886085e-507j)  +/-  (1.74e-121, 1.74e-121j)
| (1.3934758896715930075 - 1.3237341504098258594e-512j)  +/-  (1.7e-123, 1.7e-123j)
| (-0.34290132722370460879 - 7.5480296338067435791e-518j)  +/-  (1.95e-126, 1.95e-126j)
| (-3.4361591188377376033 + 2.6521247609364402097e-512j)  +/-  (1.8e-121, 1.8e-121j)
| (5.1153572537538203241 + 7.1805423766791998462e-516j)  +/-  (5.1e-122, 5.1e-122j)
| (0.68707370238444380721 + 2.4157660518006696832e-518j)  +/-  (2.5e-125, 2.5e-125j)
| (-4.4956690936722874046 + 2.176370576024417273e-516j)  +/-  (1.17e-121, 1.17e-121j)
| (1.2322183808208244183e-521 - 3.1178614538448016773e-522j)  +/-  (3.43e-520, 3.43e-520j)
| (-1.3934758896715930075 + 9.6019264890654524821e-518j)  +/-  (1.88e-123, 1.88e-123j)
| (-1.0366108297895136542 - 1.1822712791131184393e-518j)  +/-  (2.58e-124, 2.58e-124j)
| (1.0366108297895136542 + 2.2260209609983005862e-521j)  +/-  (2.74e-124, 2.74e-124j)
-------------------------------------------------
The weights are:
| (0.0023110815295750717127 - 5.0518852023149399396e-457j)  +/-  (7.73e-39, 1.49e-98j)
| (3.8302929956645834439e-05 - 1.7066230371549962853e-459j)  +/-  (3.76e-43, 7.23e-103j)
| (1.626052745428577976e-12 + 2.3521571644947183142e-464j)  +/-  (2.77e-49, 5.33e-109j)
| (3.8302929956645834439e-05 + 5.7062079810122794306e-459j)  +/-  (4.72e-43, 9.07e-103j)
| (5.471577503690254574e-10 + 3.1467903140772994051e-463j)  +/-  (1.99e-48, 3.83e-108j)
| (0.00038510535765318313367 + 8.9423415850776335078e-459j)  +/-  (2.6e-42, 5e-102j)
| (0.0023110815295750717127 - 3.8486877688234283076e-458j)  +/-  (4.32e-41, 8.31e-101j)
| (0.0094679032866500273953 + 1.2528133344003608098e-456j)  +/-  (4.46e-40, 8.57e-100j)
| (5.2715576094220125922e-08 + 2.5177286440755070939e-461j)  +/-  (9.85e-48, 1.89e-107j)
| (5.820958835535344004e-16 + 7.7312121508866075077e-467j)  +/-  (1.24e-52, 2.39e-112j)
| (2.0481148790083926706e-06 + 5.7791132527233970641e-461j)  +/-  (2.3e-46, 4.41e-106j)
| (5.820958835535344004e-16 - 1.8101400401108995517e-466j)  +/-  (5.66e-53, 1.09e-112j)
| (0.12179584814768533502 - 2.9492317560831690344e-456j)  +/-  (1.06e-41, 2.04e-101j)
| (0.00038510535765318313367 - 7.5095433008825263472e-458j)  +/-  (1.68e-44, 3.23e-104j)
| (0.0094679032866500273953 + 1.3437080705450299515e-457j)  +/-  (5.88e-43, 1.13e-102j)
| (0.1720680840298137572 + 2.3809124869568911467e-456j)  +/-  (3.52e-42, 6.75e-102j)
| (5.2715576094220125922e-08 - 5.8968099085755977905e-462j)  +/-  (3.25e-48, 6.24e-108j)
| (0.029136923980472883669 - 3.7146393898251399959e-457j)  +/-  (7.87e-43, 1.51e-102j)
| (0.1720680840298137572 + 3.2478832177572066584e-456j)  +/-  (3.94e-42, 7.57e-102j)
| (2.0481148790083926706e-06 - 4.2420198090675888666e-460j)  +/-  (8.93e-48, 1.72e-107j)
| (1.626052745428577976e-12 - 8.6329801509696742518e-465j)  +/-  (1.33e-51, 2.55e-111j)
| (0.12179584814768533502 - 1.5562858149672613969e-456j)  +/-  (1.39e-43, 2.63e-103j)
| (5.471577503690254574e-10 - 1.0316736169363601556e-462j)  +/-  (2.4e-50, 4.62e-110j)
| (0.19345997503979279002 - 3.0308199216255555316e-456j)  +/-  (4.35e-44, 8.1e-104j)
| (0.029136923980472883669 - 1.6521223797288402378e-456j)  +/-  (5.3e-45, 1.03e-104j)
| (0.068064661839057213209 + 2.3122236967341813298e-456j)  +/-  (1.32e-44, 2.55e-104j)
| (0.068064661839057213209 + 8.3789700546535914703e-457j)  +/-  (7.84e-45, 1.25e-104j)
