Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 4 9
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Trying to find an order 9 Kronrod extension for:
P2 : 1/2*t^6 - 162/13*t^5 + 101*t^4 - 4208/13*t^3 + 5436/13*t^2 - 2928/13*t + 552/13
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^15 - 335476827161063738460038085879987/2317239277355956082043188523626*t^14 + 85403978234682221205603073844621707/5793098193389890205107971309065*t^13 - 895848123227788341674324195494363979/1158619638677978041021594261813*t^12 + 698157082723792152300616016076248696124/28965490966949451025539856545325*t^11 - 13840549741499437395021956207862287347572/28965490966949451025539856545325*t^10 + 180318505670031407326392103326621091114968/28965490966949451025539856545325*t^9 - 1563309030258537017739913535059990680274008/28965490966949451025539856545325*t^8 + 8999985921255999882829175841094174391134656/28965490966949451025539856545325*t^7 - 33897722050855347368126214831956096056815168/28965490966949451025539856545325*t^6 + 81236044592807573674415276888895204199512192/28965490966949451025539856545325*t^5 - 23750958446768270491099198505657376660911232/5793098193389890205107971309065*t^4 + 19965686219241786564670122543474248843914752/5793098193389890205107971309065*t^3 - 8867449593123421639701012205157426298714624/5793098193389890205107971309065*t^2 + 1760607887430882388143028113180363993725952/5793098193389890205107971309065*t - 90450512222331736517370589764626744613888/5793098193389890205107971309065
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 1
  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
Positive weights:   14 out of 15
Indefinite weights: 0 out of 15
Negative weights:   1 out of 15
Extension rule has valid weights: 0
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 4 9
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Trying to find an order 9 Kronrod extension for:
P2 : 1/2*t^6 - 162/13*t^5 + 101*t^4 - 4208/13*t^3 + 5436/13*t^2 - 2928/13*t + 552/13
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^15 - 335476827161063738460038085879987/2317239277355956082043188523626*t^14 + 85403978234682221205603073844621707/5793098193389890205107971309065*t^13 - 895848123227788341674324195494363979/1158619638677978041021594261813*t^12 + 698157082723792152300616016076248696124/28965490966949451025539856545325*t^11 - 13840549741499437395021956207862287347572/28965490966949451025539856545325*t^10 + 180318505670031407326392103326621091114968/28965490966949451025539856545325*t^9 - 1563309030258537017739913535059990680274008/28965490966949451025539856545325*t^8 + 8999985921255999882829175841094174391134656/28965490966949451025539856545325*t^7 - 33897722050855347368126214831956096056815168/28965490966949451025539856545325*t^6 + 81236044592807573674415276888895204199512192/28965490966949451025539856545325*t^5 - 23750958446768270491099198505657376660911232/5793098193389890205107971309065*t^4 + 19965686219241786564670122543474248843914752/5793098193389890205107971309065*t^3 - 8867449593123421639701012205157426298714624/5793098193389890205107971309065*t^2 + 1760607887430882388143028113180363993725952/5793098193389890205107971309065*t - 90450512222331736517370589764626744613888/5793098193389890205107971309065
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 1
  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
Positive weights:   14 out of 15
Indefinite weights: 0 out of 15
Negative weights:   1 out of 15
Extension rule has valid weights: 0
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
