Starting with polynomial:
P : t
Extension levels are: 1 2 24
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P2 : t^3 - 3/4*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^27 - 27/4*t^25 + 81/4*t^23 - 2277/64*t^21 + 10395/256*t^19 - 32319/1024*t^17 + 8721/512*t^15 - 26163/4096*t^13 + 53703/32768*t^11 - 36465/131072*t^9 + 3861/131072*t^7 - 7371/4194304*t^5 + 819/16777216*t^3 - 27/67108864*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:
| (-0.99830815827126820805 - 1.7024009684087711566e-303j)  +/-  (2.52e-119, 2.52e-119j)
| (0.11609291412523022968 + 2.1001520931374962026e-302j)  +/-  (5.91e-127, 5.91e-127j)
| (-0.91821610688027401476 + 8.7153658300681244768e-309j)  +/-  (3.64e-119, 3.64e-119j)
| (0.99830815827126820805 + 2.6658004149081800294e-308j)  +/-  (2.54e-119, 2.54e-119j)
| (0.44879918020046217279 - 7.4527444524913711997e-321j)  +/-  (2.19e-123, 2.19e-123j)
| (0.91821610688027401476 - 7.3260860563743531951e-327j)  +/-  (3.91e-119, 3.91e-119j)
| (-0.11609291412523022968 - 6.660336501625849765e-331j)  +/-  (5.91e-127, 5.91e-127j)
| (-0.86602540378443864676 - 1.1538093500974185513e-329j)  +/-  (1.8e-119, 1.8e-119j)
| (-0.98480775301220805937 + 4.4713892030285510835e-329j)  +/-  (5.72e-119, 5.72e-119j)
| (-0.34202014332566873304 - 9.1583608955330515949e-333j)  +/-  (2.01e-124, 2.01e-124j)
| (0.80212319275504378508 - 1.2003670866710112604e-327j)  +/-  (5.65e-120, 5.65e-120j)
| (-0.95798951231548887444 + 1.3440535046819706075e-330j)  +/-  (5.61e-119, 5.61e-119j)
| (-0.54950897807080603526 - 1.0404751545160096532e-333j)  +/-  (2.27e-122, 2.27e-122j)
| (-0.80212319275504378508 + 1.8761431442872321896e-332j)  +/-  (5.15e-120, 5.15e-120j)
| (0.98480775301220805937 + 1.303955082635977028e-328j)  +/-  (5.87e-119, 5.87e-119j)
| (0.86602540378443864676 + 4.18826073685938365e-332j)  +/-  (1.66e-119, 1.66e-119j)
| (0.54950897807080603526 - 7.7700299287331511831e-344j)  +/-  (2.06e-122, 2.06e-122j)
| (0.95798951231548887444 + 3.780930189852270765e-353j)  +/-  (5.91e-119, 5.91e-119j)
| (-0.72737364157304869599 + 1.9003340325655144175e-356j)  +/-  (1.27e-120, 1.27e-120j)
| (-0.23061587074244017845 - 3.8752948388579012177e-361j)  +/-  (1.16e-125, 1.16e-125j)
| (0.23061587074244017845 + 4.6130302076646202798e-372j)  +/-  (1.04e-125, 1.04e-125j)
| (0.34202014332566873304 + 3.0262371524972639207e-390j)  +/-  (1.67e-124, 1.67e-124j)
| (0.64278760968653932632 + 4.7689229086069554238e-404j)  +/-  (2.05e-121, 2.05e-121j)
| (-0.44879918020046217279 - 3.1975055124965547898e-417j)  +/-  (1.82e-123, 1.82e-123j)
| (-0.64278760968653932632 - 5.5313874987363134278e-416j)  +/-  (2.04e-121, 2.04e-121j)
| (-1.1814761106979240019e-413 + 1.2330648803560704159e-413j)  +/-  (4.61e-412, 4.61e-412j)
| (0.72737364157304869599 - 2.5262328314690538762e-415j)  +/-  (1.17e-120, 1.17e-120j)
-------------------------------------------------
The weights are:
| (0.037037037037037037037 - 9.3500209765130023525e-303j)  +/-  (3.76e-36, 5.17e-93j)
| (0.037037037037037037037 - 1.0122807929309908079e-303j)  +/-  (1.39e-36, 1.9e-93j)
| (0.037037037037037037037 + 5.6625567863044952646e-303j)  +/-  (7.72e-37, 1.06e-93j)
| (0.037037037037037037037 + 1.9889131090043990547e-305j)  +/-  (1.43e-38, 1.96e-95j)
| (0.037037037037037037037 - 1.4337727124348781806e-303j)  +/-  (5.27e-37, 7.25e-94j)
| (0.037037037037037037037 - 1.625097081407534268e-304j)  +/-  (9.66e-38, 1.33e-94j)
| (0.037037037037037037037 - 4.5709261946049624238e-303j)  +/-  (5.32e-37, 7.32e-94j)
| (0.037037037037037037037 - 4.4974784555671461747e-303j)  +/-  (1.53e-37, 2.1e-94j)
| (0.037037037037037037037 + 1.4071475829837520415e-302j)  +/-  (1.48e-37, 2.03e-94j)
| (0.037037037037037037037 - 3.1590542202863179787e-303j)  +/-  (7.11e-39, 9.77e-96j)
| (0.037037037037037037037 - 3.2196040409264724457e-304j)  +/-  (1e-39, 1.38e-96j)
| (0.037037037037037037037 - 7.9228509262561724582e-303j)  +/-  (1.09e-37, 1.5e-94j)
| (0.037037037037037037037 - 3.0017388142828250148e-303j)  +/-  (1.74e-39, 2.4e-96j)
| (0.037037037037037037037 + 3.8100525081741703909e-303j)  +/-  (1.03e-38, 1.42e-95j)
| (0.037037037037037037037 - 6.1368836665724885445e-305j)  +/-  (9.76e-41, 1.34e-97j)
| (0.037037037037037037037 + 2.3124271819611774876e-304j)  +/-  (5.4e-41, 7.42e-98j)
| (0.037037037037037037037 + 9.2425230630515547664e-304j)  +/-  (1.03e-41, 1.41e-98j)
| (0.037037037037037037037 + 1.0768481575187709264e-304j)  +/-  (6.51e-41, 8.96e-98j)
| (0.037037037037037037037 - 3.3837884189632499327e-303j)  +/-  (2.37e-41, 3.26e-98j)
| (0.037037037037037037037 + 3.5723440123213882905e-303j)  +/-  (8.82e-42, 1.21e-98j)
| (0.037037037037037037037 - 5.7952323996169518751e-303j)  +/-  (3.95e-42, 5.43e-99j)
| (0.037037037037037037037 + 2.4969633409682406608e-303j)  +/-  (2.86e-42, 3.92e-99j)
| (0.037037037037037037037 - 6.3279319921226412487e-304j)  +/-  (8.49e-43, 1.17e-99j)
| (0.037037037037037037037 + 3.002368514231873239e-303j)  +/-  (6.59e-43, 9.22e-100j)
| (0.037037037037037037037 + 3.1270887040760984327e-303j)  +/-  (6.04e-43, 8.44e-100j)
| (0.037037037037037037037 + 7.8319612274708951116e-303j)  +/-  (3.63e-43, 5.15e-100j)
| (0.037037037037037037037 + 4.4789616484001076709e-304j)  +/-  (1.67e-43, 2.15e-100j)
