Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 15
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 15 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^21 - 2053262169605/264794067328*t^19 + 3862638680166099/224280575026816*t^17 - 74679857934980325/3476348912915648*t^15 + 33959764353233085/2057430989276608*t^13 - 58030158032339441/7201008462468128*t^11 + 4883897032652131/1963911398854944*t^9 - 70231738677666241/150566540578879040*t^7 + 1469429012067705/30113308115775808*t^5 - 1005661252452623/421586313620861312*t^3 + 222542486174801/6323794704312919680*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: 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:
| (-0.99301799775063452644 + 2.2360330902018139952e-258j)  +/-  (1.75e-121, 1.75e-121j)
| (0.96359754453680886232 + 2.2072502807253797729e-256j)  +/-  (4.27e-121, 4.27e-121j)
| (-0.91248695683407599658 - 1.4366907226913749731e-257j)  +/-  (4.24e-121, 4.24e-121j)
| (-0.57735026918962576451 - 3.6654293326817131609e-259j)  +/-  (4.74e-123, 4.74e-123j)
| (0.57735026918962576451 + 4.1363776157516900582e-257j)  +/-  (5.99e-123, 5.99e-123j)
| (0.68238998000535864119 + 2.4106283357927881199e-260j)  +/-  (3.61e-122, 3.61e-122j)
| (0.99301799775063452644 + 2.0524250471969342616e-261j)  +/-  (1.81e-121, 1.81e-121j)
| (-0.84409246104555248852 + 6.3490250219573305479e-268j)  +/-  (2.98e-121, 2.98e-121j)
| (-0.45053020586639054159 + 1.2208580975909667053e-267j)  +/-  (4.41e-124, 4.41e-124j)
| (0.91248695683407599658 + 2.9583525431672827093e-272j)  +/-  (4.69e-121, 4.69e-121j)
| (0.84409246104555248852 + 2.4020333637437404929e-292j)  +/-  (2.95e-121, 2.95e-121j)
| (0.15655801081562154215 + 7.5865084252228427749e-317j)  +/-  (8.58e-127, 8.58e-127j)
| (-0.30838033490300779027 + 1.2380209248750830622e-333j)  +/-  (2.27e-125, 2.27e-125j)
| (-0.76691029519065407282 + 5.2475279780311645502e-342j)  +/-  (1.26e-121, 1.26e-121j)
| (-5.1943503161558307205e-351 + 1.1678008834016243395e-351j)  +/-  (1.12e-349, 1.12e-349j)
| (0.76691029519065407282 - 9.0367300082524822344e-358j)  +/-  (1.37e-121, 1.37e-121j)
| (0.45053020586639054159 - 2.4891602303986446315e-363j)  +/-  (3.82e-124, 3.82e-124j)
| (-0.96359754453680886232 + 1.230894806248104216e-368j)  +/-  (4.56e-121, 4.56e-121j)
| (-0.68238998000535864119 + 4.4618596397452764335e-370j)  +/-  (3.85e-122, 3.85e-122j)
| (-0.15655801081562154215 - 1.5285719823480310981e-368j)  +/-  (8.58e-127, 8.58e-127j)
| (0.30838033490300779027 + 1.6194600175278613322e-374j)  +/-  (2.01e-125, 2.01e-125j)
-------------------------------------------------
The weights are:
| (0.017876025112273202007 + 5.3325141404422032899e-258j)  +/-  (8.72e-43, 2.88e-101j)
| (0.040708847067088097059 - 1.5671594955307784066e-256j)  +/-  (1.97e-43, 6.48e-102j)
| (0.060825771935878415626 + 5.9031022202016312991e-258j)  +/-  (3.29e-43, 1.09e-101j)
| (0.1169348054045409938 + 3.2133666487629892221e-257j)  +/-  (1.62e-43, 5.35e-102j)
| (0.1169348054045409938 + 1.764101579258996071e-256j)  +/-  (8.42e-44, 2.78e-102j)
| (0.092981249927707708431 - 3.0680700769262134779e-256j)  +/-  (7.55e-44, 2.49e-102j)
| (0.017876025112273202007 - 7.9800810906184650246e-257j)  +/-  (5.92e-45, 1.95e-103j)
| (0.07441970379254807297 + 1.3787289064622389147e-259j)  +/-  (5.34e-45, 1.76e-103j)
| (0.13553049823878776012 - 3.083977150559900495e-257j)  +/-  (4.56e-45, 1.5e-103j)
| (0.060825771935878415626 + 4.0751424126805119191e-256j)  +/-  (5.4e-45, 1.78e-103j)
| (0.07441970379254807297 - 3.4555070078651886761e-256j)  +/-  (3.21e-45, 1.06e-103j)
| (0.15498660182216184943 - 4.6040778068598399375e-257j)  +/-  (1.03e-46, 3.41e-105j)
| (0.14784322352245916507 + 3.1260811038193342043e-257j)  +/-  (1.21e-46, 3.99e-105j)
| (0.079221905008824486405 + 1.9480254503875239601e-257j)  +/-  (7.13e-47, 2.35e-105j)
| (0.15734273633546049817 + 3.8124124305705759227e-257j)  +/-  (3.9e-47, 1.28e-105j)
| (0.079221905008824486405 + 3.4438742816523855173e-256j)  +/-  (2.73e-46, 9.01e-105j)
| (0.13553049823878776012 - 7.2524292308133763502e-257j)  +/-  (3.57e-47, 1.18e-105j)
| (0.040708847067088097059 - 1.6868991802770215586e-257j)  +/-  (2.78e-48, 9.24e-107j)
| (0.092981249927707708431 - 3.0605680624543795733e-257j)  +/-  (1.82e-47, 6.04e-106j)
| (0.15498660182216184943 - 3.3503640905884444935e-257j)  +/-  (4.42e-48, 1.48e-106j)
| (0.14784322352245916507 + 5.8573451208048688081e-257j)  +/-  (4.17e-48, 1.34e-106j)
