Starting with polynomial:
P : t^15 - 105*t^13 + 4095*t^11 - 75075*t^9 + 675675*t^7 - 2837835*t^5 + 4729725*t^3 - 2027025*t
Extension levels are: 15 30
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Trying to find an order 30 Kronrod extension for:
P1 : t^15 - 105*t^13 + 4095*t^11 - 75075*t^9 + 675675*t^7 - 2837835*t^5 + 4729725*t^3 - 2027025*t
Solvable: 1
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Ending with final polynomial:
P : t^45 - 550629093772008855/697360773473122*t^43 + 197784449861096282695/697360773473122*t^41 - 128729168455176283047725/2092082320419366*t^39 + 119622956296494199863034175/13249854695989318*t^37 - 6297650584543776742608950990/6624927347994659*t^35 + 25130020360774474481097259934800/337871294747727609*t^33 - 2380924899048905426491396438225/538869688592867*t^31 + 2066978079179319956476760635372125/10238524083264473*t^29 - 73151968496201688210711782934928000/10238524083264473*t^27 + 2009906327847417725064783875559628500/10238524083264473*t^25 - 42800282463899454974180908541554106250/10238524083264473*t^23 + 702516128535022323429005219461697175000/10238524083264473*t^21 - 463423815220866362067122659265882596875/538869688592867*t^19 + 257341551381347878452359428518807421875/31698216976051*t^17 - 1795390169041168642642665080429510844375/31698216976051*t^15 + 9021891577102498546165361558466313143750/31698216976051*t^13 - 63052527533084922191305725448382853196875/63396433952102*t^11 + 145878750311630257193266171345207336171875/63396433952102*t^9 - 207987495270228335527795184857486243734375/63396433952102*t^7 + 163240501644024033538445231932894673240625/63396433952102*t^5 - 28835277637464415939462756324775300109375/31698216976051*t^3 + 2888447515571841983999462024328605203125/31698216976051*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
Positive weights:   43 out of 45
Indefinite weights: 0 out of 45
Negative weights:   2 out of 45
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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