Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 16
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 16 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^22 - 21703940836137923/2794208237943850*t^20 + 42027029201559237/2431716358426810*t^18 - 262592289065984469/12158581792134050*t^16 + 662392414045240323/39845409473079301*t^14 - 3613046556074683491/444429567199730665*t^12 + 577469291852421331/229877362344688275*t^10 - 1047921046375098841/2222147835998653325*t^8 + 25219697121887517513/511094002279690264750*t^6 - 345233232267838651/143106320638313274130*t^4 + 76767549244621411/2146594809574699111950*t^2 - 2147720438279/511094002279690264750
-------------------------------------------------
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:
| (0.99297295782023808726 - 3.1214696634207306351e-454j)  +/-  (1.81e-121, 1.81e-121j)
| (-0.68481696369423821128 - 5.2937336494170730353e-455j)  +/-  (3.78e-122, 3.78e-122j)
| (-0.91248695683407599658 - 1.1139675877744487673e-453j)  +/-  (5e-121, 5e-121j)
| (-0.99297295782023808726 - 9.5721563322279997552e-454j)  +/-  (1.86e-121, 1.86e-121j)
| (0.57735026918962576451 - 2.0153403956038875014e-455j)  +/-  (4.69e-123, 4.69e-123j)
| (0.96343728160335037502 - 1.110016564706387391e-454j)  +/-  (4.37e-121, 4.37e-121j)
| (-0.44953072961765315134 - 3.6094419608554041979e-459j)  +/-  (3.84e-124, 3.84e-124j)
| (-0.96343728160335037502 + 1.1153823753189647638e-457j)  +/-  (4.75e-121, 4.75e-121j)
| (-0.84532601780352374363 + 1.1362775918218044768e-456j)  +/-  (3.31e-121, 3.31e-121j)
| (0.91248695683407599658 - 1.0304523066218137833e-455j)  +/-  (5.02e-121, 5.02e-121j)
| (0.84532601780352374363 + 8.9216152063196896335e-457j)  +/-  (3.63e-121, 3.63e-121j)
| (0.30748033069781296176 - 3.0724115757962828148e-464j)  +/-  (2.1e-125, 2.1e-125j)
| (-0.30748033069781296176 - 3.7682773325268092983e-472j)  +/-  (1.97e-125, 1.97e-125j)
| (-0.57735026918962576451 - 1.1455337796639898248e-476j)  +/-  (4.96e-123, 4.96e-123j)
| (-0.010883346134298060289 - 1.6550527909855184183e-481j)  +/-  (2.8e-128, 2.8e-128j)
| (0.77028730284858275563 - 9.492309455900980228e-491j)  +/-  (1.47e-121, 1.47e-121j)
| (0.44953072961765315134 - 1.4960353587652491978e-493j)  +/-  (3.95e-124, 3.95e-124j)
| (0.010883346134298060289 + 1.8768947070895671546e-500j)  +/-  (2.8e-128, 2.8e-128j)
| (-0.77028730284858275563 + 4.3379669079817706907e-510j)  +/-  (1.46e-121, 1.46e-121j)
| (-0.15655801081562154215 - 1.9281123524333277655e-510j)  +/-  (1.06e-126, 1.06e-126j)
| (0.15655801081562154215 - 7.255890483356430036e-516j)  +/-  (1.06e-126, 1.06e-126j)
| (0.68481696369423821128 + 2.022346901051069343e-519j)  +/-  (3.98e-122, 3.98e-122j)
-------------------------------------------------
The weights are:
| (0.017983235360327278323 + 4.7603999037262268007e-454j)  +/-  (5.99e-41, 8.98e-100j)
| (0.095590359219335664536 + 3.6530966770820415645e-453j)  +/-  (3.11e-41, 4.66e-100j)
| (0.060299310141820456218 - 2.8630839338325048552e-453j)  +/-  (1.54e-41, 2.31e-100j)
| (0.017983235360327278323 - 1.2240137261154655408e-453j)  +/-  (3.63e-42, 5.44e-101j)
| (0.1186932871813976775 + 1.1327165789370013829e-453j)  +/-  (5.33e-43, 7.99e-102j)
| (0.040777250461946571853 - 7.1342677030376235399e-454j)  +/-  (5.35e-43, 8.01e-102j)
| (0.13588519116340423158 + 2.3606441220212047109e-453j)  +/-  (1.12e-42, 1.67e-101j)
| (0.040777250461946571853 + 1.7885296790780902049e-453j)  +/-  (4.27e-42, 6.4e-101j)
| (0.072369530664893463419 + 4.5301018868269040704e-453j)  +/-  (2.83e-42, 4.24e-101j)
| (0.060299310141820456218 + 5.9129973956290171453e-454j)  +/-  (2.45e-43, 3.68e-102j)
| (0.072369530664893463419 - 8.6238878782338945898e-454j)  +/-  (1.31e-43, 1.96e-102j)
| (0.1473468472107412102 + 1.6134521603341359531e-453j)  +/-  (6.89e-45, 1.03e-103j)
| (0.1473468472107412102 - 2.509872317131983896e-453j)  +/-  (2.36e-44, 3.54e-103j)
| (0.1186932871813976775 - 2.7536235480899818987e-453j)  +/-  (6.23e-44, 9.33e-103j)
| (0.079521440233940563345 - 2.4279054005737307503e-452j)  +/-  (2.8e-45, 4.19e-104j)
| (0.077989474896087546676 + 1.1149220545465281437e-453j)  +/-  (8.95e-46, 1.34e-104j)
| (0.13588519116340423158 - 1.226452824633384379e-453j)  +/-  (6.18e-46, 9.27e-105j)
| (0.079521440233940563345 + 2.3908078008756807156e-452j)  +/-  (1.94e-45, 2.91e-104j)
| (0.077989474896087546676 - 4.3490487272904135001e-453j)  +/-  (3.61e-46, 5.41e-105j)
| (0.15354407346610533635 + 3.9045161855051720944e-453j)  +/-  (2.52e-46, 3.77e-105j)
| (0.15354407346610533635 - 3.1259153883565314648e-453j)  +/-  (1.17e-46, 1.78e-105j)
| (0.095590359219335664536 - 1.1665170537086848257e-453j)  +/-  (2.75e-47, 3.88e-106j)
