Starting with polynomial:
P : t
Extension levels are: 1 4 6 10
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Trying to find an order 4 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : t^5 - 5/4*t^3 + 5/16*t
Solvable: 1
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P3 : t^11 - 3*t^9 + 53/16*t^7 - 13/8*t^5 + 85/256*t^3 - 5/256*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^21 - 11/2*t^19 + 13*t^17 - 69/4*t^15 + 3605/256*t^13 - 3731/512*t^11 + 2431/1024*t^9 - 957/2048*t^7 + 3333/65536*t^5 - 335/131072*t^3 + 5/131072*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
Positive weights:   21 out of 21
Indefinite weights: 0 out of 21
Negative weights:   0 out of 21
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-0.98768834059513772619 - 1.7196242208096520863e-339j)  +/-  (1.65e-120, 1.65e-120j)
| (-0.3090169943749474241 + 1.5712953096404862861e-349j)  +/-  (1.28e-125, 1.28e-125j)
| (-1 - 2.7309130712064523309e-345j)  +/-  (8.73e-121, 8.73e-121j)
| (-0.95105651629515357212 - 1.2616089939314403042e-351j)  +/-  (9.01e-121, 9.01e-121j)
| (0.98768834059513772619 - 3.7519209105331986052e-352j)  +/-  (1.23e-120, 1.23e-120j)
| (0.95105651629515357212 + 2.7745737061320997089e-371j)  +/-  (7.4e-121, 7.4e-121j)
| (1 - 1.0373124144706423486e-389j)  +/-  (7.93e-121, 7.93e-121j)
| (-0.8090169943749474241 + 1.2721232805275157041e-397j)  +/-  (9.01e-122, 9.01e-122j)
| (-0.15643446504023086901 + 6.2928590182489680425e-409j)  +/-  (4.73e-127, 4.73e-127j)
| (0.58778525229247312917 + 1.6339244227229064549e-403j)  +/-  (1.6e-123, 1.6e-123j)
| (0.89100652418836786236 + 1.1850374108276870842e-402j)  +/-  (2.9e-121, 2.9e-121j)
| (0.7071067811865475244 - 2.5757761579127243441e-406j)  +/-  (1.66e-122, 1.66e-122j)
| (-0.58778525229247312917 - 1.451706266603467591e-404j)  +/-  (1.64e-123, 1.64e-123j)
| (-0.89100652418836786236 - 4.3559861124891440246e-408j)  +/-  (3.38e-121, 3.38e-121j)
| (-9.0483115125299702767e-416 - 1.5482465579821091441e-415j)  +/-  (3.77e-414, 3.77e-414j)
| (0.8090169943749474241 + 1.4792430020023459686e-412j)  +/-  (6.51e-122, 6.51e-122j)
| (0.45399049973954679156 - 8.0226015290255263666e-415j)  +/-  (1.84e-124, 1.84e-124j)
| (0.15643446504023086901 + 2.9311761515047079516e-416j)  +/-  (6.11e-127, 6.11e-127j)
| (-0.7071067811865475244 - 7.0413849019280576522e-414j)  +/-  (1.5e-122, 1.5e-122j)
| (-0.45399049973954679156 - 2.6789970879467090297e-417j)  +/-  (1.64e-124, 1.64e-124j)
| (0.3090169943749474241 + 3.503770769754755052e-418j)  +/-  (1.18e-125, 1.18e-125j)
-------------------------------------------------
The weights are:
| (0.05 + 1.7351274581914420662e-339j)  +/-  (1.18e-39, 1.32e-97j)
| (0.05 + 1.2669030069653436969e-340j)  +/-  (9.28e-41, 1.04e-98j)
| (0.025 - 3.4918702930483070048e-339j)  +/-  (6.8e-40, 7.6e-98j)
| (0.05 + 2.3471697215549829597e-339j)  +/-  (3.98e-40, 4.45e-98j)
| (0.05 - 4.3526420136452510672e-341j)  +/-  (3.89e-42, 4.34e-100j)
| (0.05 + 4.4348834794800880356e-341j)  +/-  (1.64e-42, 1.83e-100j)
| (0.025 + 2.1628409644072076622e-341j)  +/-  (2.18e-42, 2.44e-100j)
| (0.05 + 4.8122480248372876665e-340j)  +/-  (8.07e-43, 9.01e-101j)
| (0.05 - 1.0343539929123149418e-340j)  +/-  (5.46e-43, 6.1e-101j)
| (0.05 + 5.4574748796439402152e-341j)  +/-  (4.76e-44, 5.31e-102j)
| (0.05 - 4.5766386552404503057e-341j)  +/-  (1.43e-43, 1.6e-101j)
| (0.05 - 5.0732430361336859237e-341j)  +/-  (3.27e-44, 3.66e-102j)
| (0.05 + 2.1500478760152234359e-340j)  +/-  (6.57e-45, 7.34e-103j)
| (0.05 - 8.8932017532195039214e-340j)  +/-  (3.66e-44, 4.09e-102j)
| (0.05 + 8.7052841131192258077e-341j)  +/-  (2.43e-45, 2.71e-103j)
| (0.05 + 4.7854856198734619633e-341j)  +/-  (8.03e-45, 8.95e-103j)
| (0.05 - 5.9639548878859604282e-341j)  +/-  (7.37e-46, 8.23e-104j)
| (0.05 - 7.5150215994512423335e-341j)  +/-  (3.28e-46, 3.7e-104j)
| (0.05 - 3.0643881376272034591e-340j)  +/-  (1.35e-46, 1.53e-104j)
| (0.05 - 1.6110441332661790114e-340j)  +/-  (1.02e-46, 1.17e-104j)
| (0.05 + 6.630733558094329609e-341j)  +/-  (9.39e-47, 1.01e-104j)
