Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 5 14
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Trying to find an order 5 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : t^7 - 53/3*t^5 + 215/3*t^3 - 55*t
Solvable: 1
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Ending with final polynomial:
P : t^21 - 1344053141549/8366928235*t^19 + 773543677465973/75302354115*t^17 - 25560655085784887/75302354115*t^15 + 31656511383228823/5020156941*t^13 - 337895198928054677/5020156941*t^11 + 2038824428463371549/5020156941*t^9 - 2197769740799481849/1673385647*t^7 + 3410065457904801696/1673385647*t^5 - 1984501300650889020/1673385647*t^3 + 195228095074592580/1673385647*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:
| (2.7598704991643871468 + 1.5082718960149680742e-465j)  +/-  (2.1e-123, 2.1e-123j)
| (4.268523920434384988 - 1.3944361308373981831e-479j)  +/-  (7.27e-123, 7.27e-123j)
| (-5.1175449996045946097 - 1.575160847300428407e-487j)  +/-  (8.95e-123, 8.95e-123j)
| (6.0594605151683552015 - 8.2779729634724641814e-488j)  +/-  (5.18e-123, 5.18e-123j)
| (7.1820082613038349647 + 2.5569199051559584711e-492j)  +/-  (1.35e-123, 1.35e-123j)
| (-6.0594605151683552015 + 1.1046693027744101832e-493j)  +/-  (4.83e-123, 4.83e-123j)
| (-4.268523920434384988 - 6.0535078754567316802e-493j)  +/-  (7.12e-123, 7.12e-123j)
| (-1.5891303384631702415 - 1.3523709185863936601e-494j)  +/-  (1.34e-124, 1.34e-124j)
| (-2.1290252659381178426 - 1.61805087748150497e-495j)  +/-  (5.79e-124, 5.79e-124j)
| (-3.4833773961004847262 + 3.3048189774140763238e-493j)  +/-  (4.4e-123, 4.4e-123j)
| (1.3999136480728872629e-493 - 9.140988660932551534e-494j)  +/-  (3.51e-492, 3.51e-492j)
| (-7.1820082613038349647 - 1.5481350988248967305e-495j)  +/-  (1.18e-123, 1.18e-123j)
| (-2.7598704991643871468 - 3.7055362688002366905e-495j)  +/-  (2.03e-123, 2.03e-123j)
| (3.4833773961004847262 + 5.3135991779022261977e-495j)  +/-  (4.3e-123, 4.3e-123j)
| (2.1290252659381178426 - 2.2327230340561146498e-500j)  +/-  (6.21e-124, 6.21e-124j)
| (1 + 1.2055418472599275186e-503j)  +/-  (1.2e-125, 1.2e-125j)
| (1.5891303384631702415 - 1.4264725537903245952e-509j)  +/-  (1.51e-124, 1.51e-124j)
| (-1 - 1.0449962820234636407e-514j)  +/-  (1.2e-125, 1.2e-125j)
| (-0.34932069913931517549 + 1.3991038304397046878e-513j)  +/-  (1.06e-126, 1.06e-126j)
| (5.1175449996045946097 + 2.2284414259794513298e-521j)  +/-  (8.68e-123, 8.68e-123j)
| (0.34932069913931517549 + 1.9996050692000233764e-534j)  +/-  (1.06e-126, 1.06e-126j)
-------------------------------------------------
The weights are:
| (0.0060660623590607994674 - 2.4090062754662147268e-467j)  +/-  (1.01e-40, 6.84e-102j)
| (3.5922429926549594116e-05 + 1.0574942798179793394e-469j)  +/-  (1.08e-44, 7.32e-106j)
| (7.2839665738104165654e-07 + 1.5998854672575681831e-471j)  +/-  (1.26e-47, 8.51e-109j)
| (4.2796195570961501224e-09 + 1.7117059678163242179e-472j)  +/-  (2.78e-48, 1.88e-109j)
| (3.2352001857357069443e-12 - 2.0640469606806404033e-474j)  +/-  (6.02e-50, 4.07e-111j)
| (4.2796195570961501224e-09 - 6.404032134140827831e-473j)  +/-  (8.7e-50, 5.89e-111j)
| (3.5922429926549594116e-05 - 2.2699243496808429955e-470j)  +/-  (2.66e-47, 1.8e-108j)
| (0.061336159574995975737 - 2.5074839269273924369e-467j)  +/-  (2.79e-42, 1.89e-103j)
| (0.023602570843678357672 + 8.467932884581642711e-468j)  +/-  (5.11e-44, 3.46e-105j)
| (0.00069941873301780966801 + 2.22744918122411143e-469j)  +/-  (7.48e-47, 5.07e-108j)
| (0.021711081541869608538 + 3.8363877520501756685e-466j)  +/-  (9.72e-44, 6.55e-105j)
| (3.2352001857357069443e-12 + 9.180860305748856698e-475j)  +/-  (1.7e-52, 1.16e-113j)
| (0.0060660623590607994674 - 1.6575544719246405124e-468j)  +/-  (4.42e-46, 2.98e-107j)
| (0.00069941873301780966801 - 1.9220988039475785271e-468j)  +/-  (3.81e-48, 2.55e-109j)
| (0.023602570843678357672 + 6.5624402053228648924e-467j)  +/-  (1.39e-46, 9.18e-108j)
| (0.15292350400115266936 + 1.2848829725982700232e-466j)  +/-  (3.35e-45, 2.21e-106j)
| (0.061336159574995975737 - 9.314662693396695406e-467j)  +/-  (5.84e-46, 3.78e-107j)
| (0.15292350400115266936 + 6.0141104297525262949e-467j)  +/-  (1.06e-45, 6.82e-107j)
| (0.24448008860772089591 - 2.186940661217832325e-466j)  +/-  (2.27e-45, 1.47e-106j)
| (7.2839665738104165654e-07 - 5.3455057403712063334e-471j)  +/-  (4.36e-51, 3.43e-112j)
| (0.24448008860772089591 - 2.8207741881127044364e-466j)  +/-  (1.57e-45, 8.97e-107j)
