Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 5 14
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Trying to find an order 5 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 4*t^7 - 106/3*t^5 + 215/3*t^3 - 55/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^21 - 2688106283098/8366928235*t^19 + 773543677465973/75302354115*t^17 - 25560655085784887/150604708230*t^15 + 31656511383228823/20080627764*t^13 - 337895198928054677/40161255528*t^11 + 2038824428463371549/80322511056*t^9 - 2197769740799481849/53548340704*t^7 + 106564545559525053/3346771294*t^5 - 496125325162722255/53548340704*t^3 + 48807023768648145/107096681408*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
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The nodes are:
| (3.618650772247716518 + 1.6923917543862207762e-469j)  +/-  (5.64e-123, 5.64e-123j)
| (-4.2846856206076746779 + 7.9004468904870990077e-475j)  +/-  (3.51e-123, 3.51e-123j)
| (-5.0784467441057474662 - 1.2522936091133279167e-477j)  +/-  (8.43e-124, 8.43e-124j)
| (3.0183022097961406608 - 4.1178868470705844874e-476j)  +/-  (4.89e-123, 4.89e-123j)
| (5.0784467441057474662 - 4.9659918982080244972e-479j)  +/-  (8.66e-124, 8.66e-124j)
| (-2.4631197782145911371 + 8.9963621344348269877e-482j)  +/-  (3.2e-123, 3.2e-123j)
| (-3.618650772247716518 + 1.0885366876663386098e-486j)  +/-  (5.56e-123, 5.56e-123j)
| (-3.0183022097961406608 + 8.5784662817982406704e-493j)  +/-  (4.8e-123, 4.8e-123j)
| (4.2846856206076746779 - 4.6344173280951747288e-495j)  +/-  (3.33e-123, 3.33e-123j)
| (0.24700703517023553593 + 1.5294076581133052378e-497j)  +/-  (6.19e-127, 6.19e-127j)
| (0.7071067811865475244 - 2.9261626111861707356e-500j)  +/-  (9.25e-126, 9.25e-126j)
| (-1.5054482028623358456 - 1.9568712462307516794e-499j)  +/-  (4.73e-124, 4.73e-124j)
| (-1.1236848385165811271 + 9.1680713322483376726e-503j)  +/-  (9.55e-125, 9.55e-125j)
| (-0.24700703517023553593 - 2.9171136057153801686e-503j)  +/-  (6.19e-127, 6.19e-127j)
| (2.4631197782145911371 + 1.34414195161311363e-504j)  +/-  (3.11e-123, 3.11e-123j)
| (1.1236848385165811271 + 6.449643069077845732e-508j)  +/-  (9.36e-125, 9.36e-125j)
| (1.5054482028623358456 + 6.6094830418622973548e-521j)  +/-  (4.63e-124, 4.63e-124j)
| (-1.9515231451558399945 - 2.6552626909108092887e-525j)  +/-  (1.37e-123, 1.37e-123j)
| (-0.7071067811865475244 - 6.6725316869152721336e-531j)  +/-  (9.25e-126, 9.25e-126j)
| (1.9515231451558399945 - 5.1366001777615279393e-534j)  +/-  (1.46e-123, 1.46e-123j)
| (5.3513071510838579255e-598 + 4.9232025789971492914e-597j)  +/-  (1.04e-595, 1.04e-595j)
-------------------------------------------------
The weights are:
| (7.2839665738104165654e-07 - 5.5535791591457596133e-475j)  +/-  (1.6e-51, 2.04e-112j)
| (4.2796195570961501224e-09 + 6.9901398873667752323e-478j)  +/-  (2.29e-53, 2.92e-114j)
| (3.2352001857357069443e-12 - 1.0265290200508183037e-479j)  +/-  (7.01e-55, 8.91e-116j)
| (3.5922429926549594116e-05 + 2.5993291036589976874e-474j)  +/-  (4.68e-51, 5.96e-112j)
| (3.2352001857357069443e-12 + 6.1158402039945769708e-479j)  +/-  (1.4e-55, 1.78e-116j)
| (0.00069941873301780966801 - 2.2365875086723152101e-474j)  +/-  (1.19e-50, 1.52e-111j)
| (7.2839665738104165654e-07 - 1.7033171301222539346e-476j)  +/-  (4.22e-53, 5.37e-114j)
| (3.5922429926549594116e-05 + 2.3512391896955368421e-475j)  +/-  (4.83e-52, 6.14e-113j)
| (4.2796195570961501224e-09 - 8.2944689697351991333e-477j)  +/-  (2.62e-55, 3.32e-116j)
| (0.24448008860772089591 + 1.9726028077529495074e-471j)  +/-  (1.63e-48, 2.18e-109j)
| (0.15292350400115266936 - 7.5965744873831469662e-472j)  +/-  (1.07e-48, 1.43e-109j)
| (0.023602570843678357672 - 7.9025605092937717963e-473j)  +/-  (5.51e-50, 7.13e-111j)
| (0.061336159574995975737 + 2.2492225666062404869e-472j)  +/-  (1.48e-49, 1.96e-110j)
| (0.24448008860772089591 + 1.7205130137809229049e-471j)  +/-  (2.13e-49, 2.85e-110j)
| (0.00069941873301780966801 - 1.1771556345384447297e-473j)  +/-  (1.5e-52, 1.89e-113j)
| (0.061336159574995975737 + 4.2752340164655365753e-472j)  +/-  (4.85e-50, 6.29e-111j)
| (0.023602570843678357672 - 1.9162136315000873842e-472j)  +/-  (4.75e-51, 6.29e-112j)
| (0.0060660623590607994674 + 1.6066269520192511993e-473j)  +/-  (7.86e-52, 1.12e-112j)
| (0.15292350400115266936 - 5.1130390303236860346e-472j)  +/-  (2.5e-50, 3.51e-111j)
| (0.0060660623590607994674 + 5.3680255398187234696e-473j)  +/-  (2.86e-52, 3.29e-113j)
| (0.021711081541869608538 - 2.8619460582652869401e-471j)  +/-  (6.05e-50, 9.59e-111j)
