Starting with polynomial:
P : 131072*t^17 - 8912896*t^15 + 233963520*t^13 - 3041525760*t^11 + 20910489600*t^9 - 75277762560*t^7 + 131736084480*t^5 - 94097203200*t^3 + 17643225600*t
Extension levels are: 17 30
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P1 : 131072*t^17 - 8912896*t^15 + 233963520*t^13 - 3041525760*t^11 + 20910489600*t^9 - 75277762560*t^7 + 131736084480*t^5 - 94097203200*t^3 + 17643225600*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 131072*t^47 - 67067344984174635783749632/1290748828758126367*t^45 + 12086447030983086938196049920/1290748828758126367*t^43 - 3569536704191728546356407582720/3503461106629200139*t^41 + 262701137002114515993934308352000/3503461106629200139*t^39 - 13885026184195093460163231877386240/3503461106629200139*t^37 + 546288106501808308844009046946027520/3503461106629200139*t^35 - 16365228288966005343327464538406681600/3503461106629200139*t^33 + 378725600711530283604498081297421900800/3503461106629200139*t^31 - 6830383697049206953160399205454001856000/3503461106629200139*t^29 + 96432027697150050088737637836746945952000/3503461106629200139*t^27 - 1066634192005646576631475075608036780432000/3503461106629200139*t^25 + 9220174954118808051280063096943737936200000/3503461106629200139*t^23 - 61922318686758478987652583113974975044900000/3503461106629200139*t^21 + 16844627614016782837534036982725537684650000/184392689822589481*t^19 - 66089352691220465040261620715657868798665000/184392689822589481*t^17 + 193146149739158247894099544744790848721876250/184392689822589481*t^15 - 409781280126511221725875022674781568495103125/184392689822589481*t^13 + 1218671924375982261668243000464769639291071875/368785379645178962*t^11 - 2418481713655284021243430868330434195014234375/737570759290357924*t^9 + 2983605045727731212356793091297762649288846875/1475141518580715848*t^7 - 2055427184313199842889421875481912116711096875/2950283037161431696*t^5 + 662826147624291975137671238917029035745328125/5900566074322863392*t^3 - 68466195912714957451185730923507542084390625/11801132148645726784*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:   45 out of 47
Indefinite weights: 0 out of 47
Negative weights:   2 out of 47
Extension rule has valid weights: 0
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
