Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 3 16
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Trying to find an order 3 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Trying to find an order 16 Kronrod extension for:
P2 : 3/2*t^5 - 25/14*t^3 + 3/7*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^21 - 2699938063962315/340533575735962*t^19 + 64378204797177595/3575602545227601*t^17 - 2708088644893246606/117994883992510833*t^15 + 447913939828386925/24883274855563509*t^13 - 45223754002229624159/5051304795679392327*t^11 + 34785319911939687220/12398657225758508439*t^9 - 732725560105787690/1377628580639834271*t^7 + 17700439017954155671/316854573547161882330*t^5 - 3615638031710110835/1330789208898079905786*t^3 + 43695445400587591/1108991007415066588155*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: 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
-------------------------------------------------
The nodes are:
| (-0.99394954918697481023 + 5.3686922918016169233e-297j)  +/-  (2.75e-121, 2.75e-121j)
| (0.69223122571313317753 + 2.3782704109577911932e-306j)  +/-  (2.82e-122, 2.82e-122j)
| (-0.92582009977255146157 + 2.3394116408431182931e-313j)  +/-  (7.11e-121, 7.11e-121j)
| (9.4513832750629706455e-327 + 1.0834142631590044713e-326j)  +/-  (3.02e-325, 3.02e-325j)
| (0.78891806162165870071 + 2.4296896288646793344e-352j)  +/-  (1.42e-121, 1.42e-121j)
| (0.57735026918962576451 + 3.7159763002783150182e-367j)  +/-  (3.51e-123, 3.51e-123j)
| (0.99394954918697481023 - 1.3511890075487595998e-368j)  +/-  (3.18e-121, 3.18e-121j)
| (-0.86632540575294815516 + 2.5192837231435743352e-374j)  +/-  (4.1e-121, 4.1e-121j)
| (-0.30480706560716720702 + 4.4850088023373381586e-374j)  +/-  (1.89e-125, 1.89e-125j)
| (0.96880317861197187767 - 4.9499573611545045461e-372j)  +/-  (7.47e-121, 7.47e-121j)
| (0.86632540575294815516 + 1.5575747528707572943e-375j)  +/-  (3.89e-121, 3.89e-121j)
| (-0.96880317861197187767 + 7.8837408301011506215e-378j)  +/-  (8.05e-121, 8.05e-121j)
| (-0.57735026918962576451 + 1.1952385322396043097e-377j)  +/-  (3.47e-123, 3.47e-123j)
| (-0.69223122571313317753 + 2.6188487290465950271e-379j)  +/-  (2.83e-122, 2.83e-122j)
| (-0.15445453668668398424 - 1.5635422947742143923e-383j)  +/-  (9.09e-127, 9.09e-127j)
| (0.44704653696067047522 - 2.4239577848407041469e-394j)  +/-  (3.35e-124, 3.35e-124j)
| (0.30480706560716720702 - 1.8838032624072173326e-404j)  +/-  (1.83e-125, 1.83e-125j)
| (0.92582009977255146157 + 2.944744171912831543e-407j)  +/-  (7.37e-121, 7.37e-121j)
| (-0.78891806162165870071 - 6.1687129725039092525e-411j)  +/-  (1.47e-121, 1.47e-121j)
| (-0.44704653696067047522 - 2.2487684684728075731e-410j)  +/-  (3.21e-124, 3.21e-124j)
| (0.15445453668668398424 - 3.2078840838843101997e-415j)  +/-  (9.09e-127, 9.09e-127j)
-------------------------------------------------
The weights are:
| (0.015446142791853646611 + 7.0109891403095944248e-297j)  +/-  (5.55e-44, 2.7e-102j)
| (0.10615014772228689125 - 5.2303050253058676677e-298j)  +/-  (2.32e-44, 1.13e-102j)
| (0.051223870694402342281 + 8.0565338903361475249e-297j)  +/-  (6.73e-45, 3.28e-103j)
| (0.15514122750216454058 + 7.9624497347315677766e-298j)  +/-  (5.78e-45, 2.82e-103j)
| (0.087018033339096105573 + 4.8608768634493767447e-298j)  +/-  (1.09e-44, 5.32e-103j)
| (0.12313369786884586059 + 5.4741628321620331997e-298j)  +/-  (6.58e-45, 3.2e-103j)
| (0.015446142791853646611 + 4.1715189496350458376e-299j)  +/-  (2.86e-46, 1.39e-104j)
| (0.068070195648258946011 - 5.9726944935058938114e-297j)  +/-  (3.37e-46, 1.64e-104j)
| (0.14695232664934860937 + 1.1752910386311323716e-297j)  +/-  (2.28e-46, 1.11e-104j)
| (0.034464908106999879492 - 1.485807817252970759e-298j)  +/-  (4.08e-46, 1.99e-104j)
| (0.068070195648258946011 - 4.0975664073379205671e-298j)  +/-  (8.31e-46, 4.05e-104j)
| (0.034464908106999879492 - 1.1597193891408544766e-296j)  +/-  (9.62e-47, 4.68e-105j)
| (0.12313369786884586059 + 2.0647061682692857091e-297j)  +/-  (1.49e-47, 7.24e-106j)
| (0.10615014772228689125 - 2.9230043715915430529e-297j)  +/-  (1.37e-47, 6.68e-106j)
| (0.15308266720462147871 - 9.4827790396721165404e-298j)  +/-  (1.28e-47, 6.22e-106j)
| (0.13688739622320396982 - 5.7763422333930397688e-298j)  +/-  (2.61e-48, 1.27e-106j)
| (0.14695232664934860937 + 6.2362953665240943284e-298j)  +/-  (1.09e-48, 5.31e-107j)
| (0.051223870694402342281 + 2.8591306104709097511e-298j)  +/-  (1.54e-48, 7.79e-107j)
| (0.087018033339096105573 + 4.2268141683846392429e-297j)  +/-  (1.01e-48, 5.15e-107j)
| (0.13688739622320396982 - 1.5219675795577362531e-297j)  +/-  (5.83e-49, 3e-107j)
| (0.15308266720462147871 - 6.9320074780103849757e-298j)  +/-  (4.17e-49, 1.9e-107j)
