Starting with polynomial:
P : t
Extension levels are: 1 8 10
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Trying to find an order 8 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : t^9 - 36/17*t^7 + 126/85*t^5 - 84/221*t^3 + 63/2431*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^19 - 1691/357*t^17 + 479104/50715*t^15 - 28532072/2769039*t^13 + 7558572590/1131684939*t^11 - 819725910886/313270967205*t^9 + 20960573192/34807885245*t^7 - 31726028896/422667177975*t^5 + 1078323949/253600306785*t^3 - 77583893/1098934662735*t
-------------------------------------------------
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:
| (0.99467816067734024253 - 1.4185259452027815421e-407j)  +/-  (5.85e-122, 5.85e-122j)
| (0.16422356361498676144 + 5.1562949357835023415e-425j)  +/-  (9.95e-127, 9.95e-127j)
| (-0.91496350724967785396 + 1.7562064813581508253e-421j)  +/-  (8.55e-122, 8.55e-122j)
| (1.4953599985893532693e-424 + 2.9745204074740391181e-424j)  +/-  (6.33e-423, 6.33e-423j)
| (0.96816023950762608984 + 4.579830812782305305e-424j)  +/-  (1.18e-121, 1.18e-121j)
| (0.91496350724967785396 - 1.5240020595966488144e-434j)  +/-  (9.45e-122, 9.45e-122j)
| (-0.96816023950762608984 - 3.0467622096296678237e-439j)  +/-  (1.14e-121, 1.14e-121j)
| (-0.8360311073266357943 - 1.2282583029412649787e-442j)  +/-  (4.04e-122, 4.04e-122j)
| (-0.99467816067734024253 + 1.3416371422720364873e-441j)  +/-  (5.45e-122, 5.45e-122j)
| (0.32425342340380892904 + 7.7399555709259706216e-443j)  +/-  (1.74e-125, 1.74e-125j)
| (0.8360311073266357943 - 2.1402755004065536671e-443j)  +/-  (3.91e-122, 3.91e-122j)
| (0.47546247911245988896 + 4.0543868833934217761e-449j)  +/-  (2.04e-124, 2.04e-124j)
| (-0.47546247911245988896 - 4.992597717040377902e-454j)  +/-  (2.08e-124, 2.08e-124j)
| (-0.61337143270059039731 - 1.6413090222720782267e-451j)  +/-  (1.91e-123, 1.91e-123j)
| (-0.32425342340380892904 + 9.4283475893743679408e-454j)  +/-  (1.63e-125, 1.63e-125j)
| (0.73448676518393379161 - 1.0706652722130896042e-450j)  +/-  (1.06e-122, 1.06e-122j)
| (0.61337143270059039731 - 1.2290532590972925994e-461j)  +/-  (1.97e-123, 1.97e-123j)
| (-0.16422356361498676144 + 6.9235051168479585287e-467j)  +/-  (9.95e-127, 9.95e-127j)
| (-0.73448676518393379161 - 3.0918697383625613391e-477j)  +/-  (1.13e-122, 1.13e-122j)
-------------------------------------------------
The weights are:
| (0.014304775643838937232 + 1.5063512609408447424e-407j)  +/-  (7.17e-44, 2.41e-103j)
| (0.16286282744011506317 + 2.7819118233569453212e-408j)  +/-  (2.89e-44, 9.72e-104j)
| (0.066518155940274143238 + 4.9411222855624775636e-409j)  +/-  (4.04e-45, 1.36e-104j)
| (0.16489601282834943323 - 2.3579870355161086982e-408j)  +/-  (1.26e-44, 4.23e-104j)
| (0.039631895160261255078 - 2.2275862670735102075e-407j)  +/-  (1.6e-44, 5.38e-104j)
| (0.066518155940274143238 + 1.1836936619682982642e-407j)  +/-  (6.2e-45, 2.08e-104j)
| (0.039631895160261255078 - 3.0094661396169786875e-409j)  +/-  (1.68e-45, 5.66e-105j)
| (0.090790681688726386851 - 6.9626110256011919751e-409j)  +/-  (6.59e-46, 2.22e-105j)
| (0.014304775643838937232 + 1.0200131154616971579e-409j)  +/-  (7.04e-46, 2.36e-105j)
| (0.15641352778848386558 - 3.2993380620230559396e-408j)  +/-  (5.49e-46, 1.84e-105j)
| (0.090790681688726386851 - 8.0345119968246329649e-408j)  +/-  (1.46e-46, 4.92e-106j)
| (0.14523958838436616217 + 3.9680258456918775642e-408j)  +/-  (1.35e-46, 4.52e-106j)
| (0.14523958838436616217 + 1.4014041841824193696e-408j)  +/-  (5.34e-48, 1.79e-107j)
| (0.13000140685534119672 - 1.1521576614971576168e-408j)  +/-  (3.7e-48, 1.24e-107j)
| (0.15641352778848386558 - 1.6770830876336963158e-408j)  +/-  (3.17e-48, 1.07e-107j)
| (0.11178913468441827334 + 6.094582322405595771e-408j)  +/-  (1.61e-48, 5.41e-108j)
| (0.13000140685534119672 - 4.8588879323173782929e-408j)  +/-  (1.52e-48, 5.09e-108j)
| (0.16286282744011506317 + 1.9934834972651768531e-408j)  +/-  (7.17e-49, 2.48e-108j)
| (0.11178913468441827334 + 9.1706572097308655216e-409j)  +/-  (2.8e-49, 8.59e-109j)
