Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 22
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Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^28 - 19832197362872655617/1912944396638492910*t^26 + 175120679183668928584615/5475420746498358256293*t^24 - 1907976344884904719830613/32852524478990149537758*t^22 + 210743204806119261464045/3057702494797784480787*t^20 - 8107679068046607597340/144486134022330960867*t^18 + 422415800548244324142343/13196400240706227759186*t^16 - 1044445915916259597103765/81377801484355071181647*t^14 + 1745254426919519122863451/488266808906130427089882*t^12 - 2298018616944542202084205/3417867662342912989629174*t^10 + 1436029993671366972927490/17658982922105050446417399*t^8 - 2555874324399912666798713/438951861206611253953803918*t^6 + 4637576593995795072389780/21728117129727257070713293941*t^4 - 108001983857528840671103/36213528549545428451188823235*t^2 + 282484052687588353627/43456234259454514141426587882
-------------------------------------------------
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
-------------------------------------------------
The nodes are:
| (0.97922264548431950694 - 3.0266414868976789216e-436j)  +/-  (1.74e-118, 1.74e-118j)
| (0.051436602674749079314 + 2.134932139566471699e-441j)  +/-  (1.94e-127, 1.94e-127j)
| (-0.97922264548431950694 + 2.6127309195969390208e-434j)  +/-  (1.72e-118, 1.72e-118j)
| (-0.91248695683407599658 - 4.7310378634502559503e-446j)  +/-  (1.93e-118, 1.93e-118j)
| (0.86875567447488351771 - 7.007403310605491269e-454j)  +/-  (1.01e-118, 1.01e-118j)
| (0.91248695683407599658 - 8.0451678991811488028e-458j)  +/-  (1.74e-118, 1.74e-118j)
| (-0.95036576950798300603 - 6.6498182412011619804e-461j)  +/-  (2.17e-118, 2.17e-118j)
| (-0.86875567447488351771 - 5.0610440419028517939e-473j)  +/-  (9.43e-119, 9.43e-119j)
| (-0.81556345948640473312 - 1.3004777216137907076e-483j)  +/-  (3.58e-119, 3.58e-119j)
| (0.95036576950798300603 - 7.3169217199926510459e-484j)  +/-  (2.34e-118, 2.34e-118j)
| (0.81556345948640473312 + 1.4906483492982174855e-486j)  +/-  (3.31e-119, 3.31e-119j)
| (0.47825173196294165132 + 3.0190628899521270739e-491j)  +/-  (9.98e-123, 9.98e-123j)
| (-0.57735026918962576451 - 1.7271493062714266772e-490j)  +/-  (1.31e-121, 1.31e-121j)
| (-0.66812441752400042799 + 2.6727087046491199544e-489j)  +/-  (1.09e-120, 1.09e-120j)
| (-0.051436602674749079314 - 1.2513438885269520964e-496j)  +/-  (1.79e-127, 1.79e-127j)
| (0.74832948055883377558 - 2.7260098239136921289e-487j)  +/-  (7.91e-120, 7.91e-120j)
| (0.99600462542238485104 + 2.1148889107270944585e-489j)  +/-  (6.26e-119, 6.26e-119j)
| (-0.15655801081562154215 + 8.792125399198162338e-497j)  +/-  (3.21e-126, 3.21e-126j)
| (-0.74832948055883377558 + 8.8551350347168960784e-492j)  +/-  (7.5e-120, 7.5e-120j)
| (-0.26480452317541831834 - 3.791418542537267669e-498j)  +/-  (5e-125, 5e-125j)
| (0.37315608893093202721 + 2.0322791330151123794e-496j)  +/-  (8.63e-124, 8.63e-124j)
| (0.66812441752400042799 + 1.0373660843953923966e-494j)  +/-  (1.16e-120, 1.16e-120j)
| (-0.99600462542238485104 + 2.1871062830826906547e-495j)  +/-  (5.81e-119, 5.81e-119j)
| (-0.37315608893093202721 - 5.5890370632429742454e-508j)  +/-  (7.91e-124, 7.91e-124j)
| (-0.47825173196294165132 + 9.6951374554852438519e-505j)  +/-  (1.02e-122, 1.02e-122j)
| (0.15655801081562154215 + 1.4796041238423944585e-507j)  +/-  (2.89e-126, 2.89e-126j)
| (0.57735026918962576451 - 5.5446752549467798415e-504j)  +/-  (1.39e-121, 1.39e-121j)
| (0.26480452317541831834 - 2.2074530396490232128e-507j)  +/-  (4.97e-125, 4.97e-125j)
-------------------------------------------------
The weights are:
| (0.023150523243256332213 - 8.7033619779691083929e-437j)  +/-  (5.42e-33, 1.94e-89j)
| (0.10334646524830399235 - 7.1323209799939625715e-435j)  +/-  (4.31e-34, 1.54e-90j)
| (0.023150523243256332213 + 1.9144374354084861281e-434j)  +/-  (1.92e-33, 6.86e-90j)
| (0.040975645459014703219 + 3.9574994726154278539e-434j)  +/-  (1.49e-33, 5.33e-90j)
| (0.047245542301210247451 + 1.6336392035492049171e-435j)  +/-  (4.72e-34, 1.69e-90j)
| (0.040975645459014703219 - 9.380641173412910948e-436j)  +/-  (5e-34, 1.79e-90j)
| (0.034055497877231516359 - 4.8983075282935581991e-434j)  +/-  (4.23e-34, 1.51e-90j)
| (0.047245542301210247451 - 3.3874386241357569835e-434j)  +/-  (1.24e-34, 4.44e-91j)
| (0.06003998345924877537 + 2.4807360923823631422e-434j)  +/-  (3.39e-35, 1.21e-91j)
| (0.034055497877231516359 + 1.6513737173223332998e-436j)  +/-  (2.08e-35, 7.44e-92j)
| (0.06003998345924877537 - 1.9767958865393790124e-435j)  +/-  (1.13e-35, 4.06e-92j)
| (0.10250865033296476893 - 2.7069007589777679393e-435j)  +/-  (5.48e-37, 1.96e-93j)
| (0.095305963463649310386 - 9.4258220283485625496e-435j)  +/-  (3.63e-37, 1.3e-93j)
| (0.08587420892056894617 + 1.1993734328971423867e-434j)  +/-  (7.13e-37, 2.55e-93j)
| (0.10334646524830399235 + 7.9427471599818251781e-435j)  +/-  (4.9e-38, 1.75e-94j)
| (0.074125815168242870241 + 2.0506607650787764058e-435j)  +/-  (1e-37, 3.58e-94j)
| (0.010223972114950129344 + 1.8606305167700406364e-436j)  +/-  (8.94e-38, 3.2e-94j)
| (0.10701306536694183727 - 7.9091879627722490269e-435j)  +/-  (1.26e-38, 4.52e-95j)
| (0.074125815168242870241 - 1.6773162886203226406e-434j)  +/-  (3.34e-38, 1.19e-94j)
| (0.108903722439581336 + 7.608194038445128992e-435j)  +/-  (3.28e-39, 1.17e-95j)
| (0.1072309446048352347 + 3.3314761952985804014e-435j)  +/-  (4.23e-40, 1.51e-96j)
| (0.08587420892056894617 - 2.1307161247858172716e-435j)  +/-  (1.14e-39, 4.1e-96j)
| (0.010223972114950129344 + 9.2668001782887693621e-435j)  +/-  (2.71e-40, 9.71e-97j)
| (0.1072309446048352347 - 7.591507879807227108e-435j)  +/-  (3.42e-40, 1.22e-96j)
| (0.10250865033296476893 + 8.1174005214165231882e-435j)  +/-  (2.72e-40, 9.73e-97j)
| (0.10701306536694183727 + 5.684830247636023645e-435j)  +/-  (5.57e-41, 2e-97j)
| (0.095305963463649310386 + 2.3313183584382462719e-435j)  +/-  (1.77e-41, 6.62e-98j)
| (0.108903722439581336 - 4.3097576557341849737e-435j)  +/-  (2.51e-41, 8.87e-98j)
