Starting with polynomial:
P : 2*t
Extension levels are: 1 2 6 12
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Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P3 : 2*t^9 - 117/4*t^7 + 945/8*t^5 - 2205/16*t^3 + 945/32*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^21 - 20774971893/133201492*t^19 + 653412876723/133201492*t^17 - 86530745663355/1065611936*t^15 + 1652267603793375/2131223872*t^13 - 18783353149157025/4262447744*t^11 + 127015854640073685/8524895488*t^9 - 497343697084550745/17049790976*t^7 + 1061381742497601525/34099581952*t^5 - 1073644320567443625/68199163904*t^3 + 341241276683382075/136398327808*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:
| (2.0232301911005156592 + 1.0677223313538163443e-449j)  +/-  (2.93e-123, 2.93e-123j)
| (-4.9292275480555289839 - 1.3827645679749023418e-450j)  +/-  (9.86e-124, 9.86e-124j)
| (-3.500462184400790089 + 2.5979038775478834406e-457j)  +/-  (8.52e-123, 8.52e-123j)
| (4.1428021395885635436 - 9.2239214522164069335e-468j)  +/-  (4.29e-123, 4.29e-123j)
| (4.9292275480555289839 - 8.3831350463843483927e-468j)  +/-  (9.36e-124, 9.36e-124j)
| (2.9592107790638377223 + 1.4728599509222766675e-466j)  +/-  (9.63e-123, 9.63e-123j)
| (2.4948016438114260854 - 2.1641749352322425953e-468j)  +/-  (7.76e-123, 7.76e-123j)
| (-1.4906814825704118848 - 5.4403826259721434997e-468j)  +/-  (1.36e-123, 1.36e-123j)
| (-2.3583423553692832859e-474 + 2.0281744256175836258e-474j)  +/-  (6.53e-473, 6.53e-473j)
| (-4.1428021395885635436 - 2.9193195126241013575e-478j)  +/-  (4.71e-123, 4.71e-123j)
| (0.52403354748695764515 - 2.500463113650114908e-490j)  +/-  (4.38e-126, 4.38e-126j)
| (-2.9592107790638377223 + 8.0701857878711310724e-487j)  +/-  (1.05e-122, 1.05e-122j)
| (-0.52403354748695764515 - 1.782033030212377978e-497j)  +/-  (3.86e-126, 3.86e-126j)
| (-1.0948787166594528649 + 9.3886902767445350109e-496j)  +/-  (5.06e-124, 5.06e-124j)
| (-2.4948016438114260854 - 1.6673030711654535337e-498j)  +/-  (7.14e-123, 7.14e-123j)
| (1.2247448713915890491 + 4.2731156333721389188e-506j)  +/-  (1.05e-123, 1.05e-123j)
| (1.0948787166594528649 - 3.7153577679617449358e-507j)  +/-  (4.7e-124, 4.7e-124j)
| (-2.0232301911005156592 + 4.2603980273204361244e-507j)  +/-  (3e-123, 3e-123j)
| (-1.2247448713915890491 + 1.3705846365709275495e-509j)  +/-  (9.64e-124, 9.64e-124j)
| (3.500462184400790089 - 7.8834952674930728538e-513j)  +/-  (7.8e-123, 7.8e-123j)
| (1.4906814825704118848 - 3.2486931047361563958e-516j)  +/-  (1.4e-123, 1.4e-123j)
-------------------------------------------------
The weights are:
| (0.0046641746195996005792 - 1.5680709521437369977e-451j)  +/-  (1.91e-43, 1.66e-104j)
| (1.4361591120110558709e-11 + 1.0062114744568575706e-458j)  +/-  (1.6e-51, 1.39e-112j)
| (1.5886493751366877317e-06 + 2.3785530259680374603e-455j)  +/-  (1.12e-48, 9.73e-110j)
| (1.3884259302050112834e-08 + 2.4236791045176769386e-456j)  +/-  (1.09e-50, 9.48e-112j)
| (1.4361591120110558709e-11 - 2.4354911910746855747e-458j)  +/-  (2.6e-52, 2.25e-113j)
| (4.3825151262043410883e-05 + 1.7416519378452280503e-453j)  +/-  (1.94e-48, 1.68e-109j)
| (0.00050644024350559434846 - 2.1941007192796331009e-452j)  +/-  (2.55e-47, 2.21e-108j)
| (0.038348317639531055064 + 1.2863905401585370033e-451j)  +/-  (4.92e-46, 4.27e-107j)
| (0.29464113834097234914 + 1.8500072234397090451e-451j)  +/-  (3.45e-45, 2.99e-106j)
| (1.3884259302050112834e-08 - 8.3125148049603516093e-457j)  +/-  (4.85e-52, 4.2e-113j)
| (0.22650451188129539028 - 2.7530868183292168313e-451j)  +/-  (1.72e-45, 1.49e-106j)
| (4.3825151262043410883e-05 - 3.2693639544997776314e-454j)  +/-  (3.81e-50, 3.3e-111j)
| (0.22650451188129539028 - 1.6201962619806474302e-451j)  +/-  (8.5e-46, 7.36e-107j)
| (0.14599524764363841228 + 4.9046104035515101841e-451j)  +/-  (2.15e-46, 1.86e-107j)
| (0.00050644024350559434846 + 2.2888683422385525836e-453j)  +/-  (1.14e-49, 9.92e-111j)
| (-0.063384688897314300398 - 2.148058723321748555e-450j)  +/-  (2.02e-47, 1.75e-108j)
| (0.14599524764363841228 + 1.6476451934339318657e-450j)  +/-  (3.31e-47, 2.86e-108j)
| (0.0046641746195996005792 - 1.2302350899064607188e-452j)  +/-  (3.91e-49, 3.4e-110j)
| (-0.063384688897314300398 - 5.2797012776809261262e-451j)  +/-  (2.1e-47, 1.82e-108j)
| (1.5886493751366877317e-06 - 8.904024346742018534e-455j)  +/-  (1.01e-52, 8.94e-114j)
| (0.038348317639531055064 + 8.490216949719018243e-451j)  +/-  (6.44e-49, 5.36e-110j)
