Starting with polynomial:
P : t
Extension levels are: 1 6 16
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Trying to find an order 6 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : t^7 - 21/13*t^5 + 105/143*t^3 - 35/429*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 5695479319283/973235417571*t^21 + 332613072544398149/22314017242262031*t^19 - 60434669839704081761/2789252155282753875*t^17 + 1822577886905920640846/92045321124330877875*t^15 - 5576903735421573562/472027287817081425*t^13 + 198610075438798898/42911571619734675*t^11 - 7838768636456247158/6719952115650450105*t^9 + 9825341915024369299/54590805970954914375*t^7 - 44745439665748799999/2893312716460610461875*t^5 + 1067710391708808827/1735987629876366277125*t^3 - 4195757732088601/578662543292122092375*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:
| (0.99799364786185484161 - 3.2813198662234472383e-329j)  +/-  (3e-120, 3e-120j)
| (0.1388704900512106627 - 6.8999690758759342522e-339j)  +/-  (8.41e-127, 8.41e-127j)
| (-0.94910791234275852453 - 1.2058451104157402921e-339j)  +/-  (4.44e-120, 4.44e-120j)
| (0.52875559147107004702 - 1.0600700640756657089e-343j)  +/-  (3.71e-123, 3.71e-123j)
| (0.94910791234275852453 - 7.2849518575230587027e-349j)  +/-  (4.59e-120, 4.59e-120j)
| (0.40584515137739716691 + 3.7379798410534266381e-358j)  +/-  (2.73e-124, 2.73e-124j)
| (-0.98287596570383387832 - 1.6970520061318799613e-351j)  +/-  (6.14e-120, 6.14e-120j)
| (-0.89690728630508935865 - 1.0417162587110942457e-355j)  +/-  (2.44e-120, 2.44e-120j)
| (-0.74153118559939443986 + 1.0040556125348426891e-356j)  +/-  (1.85e-121, 1.85e-121j)
| (-0.99799364786185484161 - 7.6699057738819030541e-355j)  +/-  (2.88e-120, 2.88e-120j)
| (0.82726326692374895567 - 7.9745875556436705326e-354j)  +/-  (7.43e-121, 7.43e-121j)
| (-0.40584515137739716691 - 6.7175555039624314844e-364j)  +/-  (2.69e-124, 2.69e-124j)
| (-0.6413798687646698755 + 5.8681309253890840502e-361j)  +/-  (3.04e-122, 3.04e-122j)
| (-0.52875559147107004702 + 3.0790740074407025113e-362j)  +/-  (3.67e-123, 3.67e-123j)
| (-1.8540810975872092886e-366 + 8.799678759481173068e-368j)  +/-  (4.27e-365, 4.27e-365j)
| (0.74153118559939443986 - 1.722426790798940847e-357j)  +/-  (1.82e-121, 1.82e-121j)
| (0.89690728630508935865 + 6.6780968254911736401e-366j)  +/-  (2.4e-120, 2.4e-120j)
| (0.98287596570383387832 - 5.0398790616975593479e-385j)  +/-  (5.88e-120, 5.88e-120j)
| (-0.82726326692374895567 + 7.2991065837764925804e-397j)  +/-  (7.73e-121, 7.73e-121j)
| (-0.2750357124712873529 + 4.4205430292937258097e-402j)  +/-  (1.69e-125, 1.69e-125j)
| (0.2750357124712873529 + 8.1643830570027444788e-403j)  +/-  (1.85e-125, 1.85e-125j)
| (0.6413798687646698755 - 7.8910365498983987051e-403j)  +/-  (3.02e-122, 3.02e-122j)
| (-0.1388704900512106627 - 9.1394163503605763102e-411j)  +/-  (8.41e-127, 8.41e-127j)
-------------------------------------------------
The weights are:
| (0.006531210630826968939 + 2.6411138101765165353e-329j)  +/-  (9.41e-40, 1.86e-97j)
| (0.13796597427820947537 + 1.6200414074854848398e-330j)  +/-  (3.85e-40, 7.59e-98j)
| (0.043113903691341972167 + 3.9070300885355525039e-331j)  +/-  (1.01e-40, 1.99e-98j)
| (0.11814992531771326251 - 2.741638620411682889e-330j)  +/-  (1.84e-40, 3.63e-98j)
| (0.043113903691341972167 + 1.5561562674931915884e-329j)  +/-  (4.53e-41, 8.94e-99j)
| (0.12727235643820903391 + 2.2564147014949239866e-330j)  +/-  (1.85e-40, 3.65e-98j)
| (0.024344081856459838497 - 2.7835244078941931156e-331j)  +/-  (1.81e-41, 3.56e-99j)
| (0.061120167412052582662 - 4.8305790949424544015e-331j)  +/-  (1.37e-41, 2.7e-99j)
| (0.09324414685631693478 - 6.5501692446112978797e-331j)  +/-  (2.29e-42, 4.51e-100j)
| (0.006531210630826968939 + 1.0737037918463041209e-331j)  +/-  (5.73e-42, 1.13e-99j)
| (0.077941294515931098158 + 6.084024013396227964e-330j)  +/-  (2.59e-43, 5.11e-101j)
| (0.12727235643820903391 + 9.517706576039246432e-331j)  +/-  (2.9e-43, 5.73e-101j)
| (0.10673349592580238882 + 7.4498992817051775757e-331j)  +/-  (4.48e-43, 8.85e-101j)
| (0.11814992531771326251 - 8.4262768711761974891e-331j)  +/-  (2.3e-43, 4.55e-101j)
| (0.1393232098501692828 - 1.4015076573899521424e-330j)  +/-  (3.82e-44, 7.53e-102j)
| (0.09324414685631693478 - 4.4428264283011268856e-330j)  +/-  (6.87e-45, 1.36e-102j)
| (0.061120167412052582662 - 9.0550977490850818299e-330j)  +/-  (3.33e-45, 6.57e-103j)
| (0.024344081856459838497 - 3.6472514977809349873e-329j)  +/-  (2.56e-45, 5.05e-103j)
| (0.077941294515931098158 + 5.6908577060647644278e-331j)  +/-  (7.54e-45, 1.47e-102j)
| (0.13392183815205180278 - 1.0770108919407849101e-330j)  +/-  (5.17e-46, 1.01e-103j)
| (0.13392183815205180278 - 1.8964678468559174597e-330j)  +/-  (4.35e-46, 8.77e-104j)
| (0.10673349592580238882 + 3.4247604216702034793e-330j)  +/-  (3.67e-46, 7.59e-104j)
| (0.13796597427820947537 + 1.2242580684932842654e-330j)  +/-  (3.26e-46, 6.22e-104j)
