Starting with polynomial:
P : t
Extension levels are: 1 2 8 10
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P3 : t^11 - 10483/3705*t^9 + 3234/1105*t^7 - 139986/104975*t^5 + 68299/272935*t^3 - 3633/272935*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^21 - 54418441/10566660*t^19 + 919573982789/80891675280*t^17 - 2859045169344287/203561521675200*t^15 + 1397236827764554824509/131322097410757044480*t^13 - 439898293384487743629047/86430143495879790197760*t^11 + 1978358763710679622079863/1296452152438196852966400*t^9 - 28936702776416257135159/105267482462930513702400*t^7 + 3157695912956870583506747/116320568121538217641152000*t^5 - 8927475025208916680119/7346562197149782166809600*t^3 + 9240863468472883881557/604866954231998731733990400*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: 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:
| (0.95521895685204993832 - 4.8534282432862010864e-253j)  +/-  (6.32e-121, 6.32e-121j)
| (0.9225217132136291628 + 1.3743911609919923335e-253j)  +/-  (6.76e-121, 6.76e-121j)
| (0.99079325588510780584 + 1.4707473778737571195e-253j)  +/-  (1.57e-121, 1.57e-121j)
| (0.86843936719282485836 + 1.8811713702762898044e-253j)  +/-  (3.01e-121, 3.01e-121j)
| (0.77459666924148337704 - 6.9120568086374812581e-254j)  +/-  (7.89e-122, 7.89e-122j)
| (-0.99079325588510780584 - 5.2166596558246373038e-254j)  +/-  (1.61e-121, 1.61e-121j)
| (-0.9225217132136291628 + 4.751005001167459945e-252j)  +/-  (7.42e-121, 7.42e-121j)
| (-0.43759791354037044397 - 2.6592813662135524517e-256j)  +/-  (2.54e-124, 2.54e-124j)
| (0.66543348592151387265 + 1.0735600816854854154e-262j)  +/-  (1.54e-122, 1.54e-122j)
| (-0.86843936719282485836 - 1.2731929483238810303e-259j)  +/-  (3.37e-121, 3.37e-121j)
| (-0.77459666924148337704 + 9.3403412475092237963e-263j)  +/-  (7.03e-122, 7.03e-122j)
| (0.55806685067819680295 - 3.086109932834648511e-266j)  +/-  (2.52e-123, 2.52e-123j)
| (0.14024937522154484466 + 1.780635506443335953e-266j)  +/-  (7.9e-127, 7.9e-127j)
| (-0.55806685067819680295 - 2.3709212584603738611e-280j)  +/-  (2.74e-123, 2.74e-123j)
| (2.2654811997776921602e-303 + 2.8005669612715039488e-303j)  +/-  (7.56e-302, 7.56e-302j)
| (-0.14024937522154484466 + 2.9825549489737421271e-326j)  +/-  (7.9e-127, 7.9e-127j)
| (0.43759791354037044397 + 1.1901809380500894226e-333j)  +/-  (2.95e-124, 2.95e-124j)
| (-0.95521895685204993832 - 3.741366058245237301e-335j)  +/-  (6.25e-121, 6.25e-121j)
| (-0.66543348592151387265 - 4.3566067601968067911e-353j)  +/-  (1.46e-122, 1.46e-122j)
| (-0.2919991541426287378 + 6.6410596913712128319e-369j)  +/-  (1.4e-125, 1.4e-125j)
| (0.2919991541426287378 + 3.4041728306188723712e-378j)  +/-  (1.53e-125, 1.53e-125j)
-------------------------------------------------
The weights are:
| (0.042607532097850023428 + 1.4279730567117815921e-252j)  +/-  (8.65e-39, 7.71e-97j)
| (0.028902560435942232232 - 2.0664669753853618138e-252j)  +/-  (5.65e-39, 5.03e-97j)
| (0.023365053138681827182 - 1.6400562276337018597e-253j)  +/-  (1.6e-39, 1.43e-97j)
| (0.079443331397121600372 + 9.6010937312956803941e-253j)  +/-  (1.17e-39, 1.04e-97j)
| (0.10482572278578944236 - 1.9560031803313215364e-253j)  +/-  (2.2e-40, 1.96e-98j)
| (0.023365053138681827182 - 2.5384020655420537338e-253j)  +/-  (1.33e-42, 1.19e-100j)
| (0.028902560435942232232 - 3.6105082884395395094e-253j)  +/-  (8.66e-43, 7.72e-101j)
| (0.13493383250873895951 - 3.5917942058602809247e-253j)  +/-  (2.8e-43, 2.5e-101j)
| (0.10978370015297045693 + 8.524959507594002457e-254j)  +/-  (1.04e-41, 9.3e-100j)
| (0.079443331397121600372 - 2.3666873467445820544e-252j)  +/-  (3.71e-43, 3.3e-101j)
| (0.10482572278578944236 + 8.2472390701344344642e-253j)  +/-  (1.58e-43, 1.4e-101j)
| (0.10839013660872430512 - 7.139880787582726379e-254j)  +/-  (5.5e-43, 4.9e-101j)
| (0.14739953649888168772 - 8.3613898510812222413e-254j)  +/-  (1.54e-44, 1.38e-102j)
| (0.10839013660872430512 + 5.1560836138392483401e-253j)  +/-  (8.65e-45, 7.71e-103j)
| (0.13566059239186290083 + 1.4584623703449478661e-253j)  +/-  (5.24e-45, 4.67e-103j)
| (0.14739953649888168772 - 1.9169873857912184362e-253j)  +/-  (2.6e-45, 2.32e-103j)
| (0.13493383250873895951 + 2.2105786480963857523e-254j)  +/-  (4.4e-45, 3.92e-103j)
| (0.042607532097850023428 + 2.4798116236460156585e-252j)  +/-  (7.19e-46, 6.43e-104j)
| (0.10978370015297045693 - 6.1837063528962643955e-253j)  +/-  (6.85e-46, 6.13e-104j)
| (0.15251829817936801472 + 2.4293291525250644181e-253j)  +/-  (4.63e-46, 4.16e-104j)
| (0.15251829817936801472 + 2.7551943437382712986e-254j)  +/-  (3.19e-46, 2.7e-104j)
