Starting with polynomial:
P : 2048*t^11 - 56320*t^9 + 506880*t^7 - 1774080*t^5 + 2217600*t^3 - 665280*t
Extension levels are: 11 20
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Trying to find an order 20 Kronrod extension for:
P1 : 2048*t^11 - 56320*t^9 + 506880*t^7 - 1774080*t^5 + 2217600*t^3 - 665280*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2048*t^31 - 191236725760/487167*t^29 + 1440461049966080/44332197*t^27 - 22645140398127360/14777399*t^25 + 52030164155644800/1136723*t^23 - 13459147332235611840/14777399*t^21 + 26118378328637829600/2111057*t^19 - 244301425160130068400/2111057*t^17 + 1568477265281834117400/2111057*t^15 - 524300416937537809500/162389*t^13 + 1502496315410404840650/162389*t^11 - 2723130989547648656625/162389*t^9 + 5846199631464829984875/324778*t^7 - 6682280019495599932875/649556*t^5 + 3360445036383587315625/1299112*t^3 - 480972980473586110125/2598224*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:   31 out of 31
Indefinite weights: 0 out of 31
Negative weights:   0 out of 31
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-4.1518121647971866447 + 3.5592140764583175806e-417j)  +/-  (1.39e-120, 1.39e-120j)
| (4.6671420833995386833 - 2.9230953269647544557e-422j)  +/-  (1.14e-120, 1.14e-120j)
| (6.6102459030846654087 + 6.0020341536096232553e-425j)  +/-  (3.02e-122, 3.02e-122j)
| (4.1518121647971866447 + 3.3043716276307778708e-423j)  +/-  (1.33e-120, 1.33e-120j)
| (-5.8515114301410338466 - 5.6143503982072218115e-422j)  +/-  (2.04e-121, 2.04e-121j)
| (-6.6102459030846654087 - 2.4859476754236972352e-426j)  +/-  (3.52e-122, 3.52e-122j)
| (-3.6684708465595825185 + 2.8943033567256942951e-426j)  +/-  (1.13e-120, 1.13e-120j)
| (-5.2257087865405595633 + 4.373637636887535844e-436j)  +/-  (6.63e-121, 6.63e-121j)
| (5.2257087865405595633 - 1.3691515501645907424e-444j)  +/-  (6.9e-121, 6.9e-121j)
| (-4.6671420833995386833 - 6.644041196071160917e-448j)  +/-  (1.1e-120, 1.1e-120j)
| (1.3265570844949328559 - 2.5872107947291869226e-452j)  +/-  (2.62e-123, 2.62e-123j)
| (2.7832900997816517708 - 5.5042321269808791319e-451j)  +/-  (3.79e-121, 3.79e-121j)
| (-2.3870936703854087818 + 4.1332309697253992337e-450j)  +/-  (1.57e-121, 1.57e-121j)
| (-1.3265570844949328559 - 1.0725030876193100226e-454j)  +/-  (2.25e-123, 2.25e-123j)
| (3.6684708465595825185 + 3.0668917092058723802e-451j)  +/-  (1.16e-120, 1.16e-120j)
| (1.6792396431257628842 - 9.8319934525137006531e-456j)  +/-  (1.46e-122, 1.46e-122j)
| (3.2122180942926640015 + 2.8092836116891670719e-455j)  +/-  (7.58e-121, 7.58e-121j)
| (5.8515114301410338466 - 4.3147103603016529227e-458j)  +/-  (2.32e-121, 2.32e-121j)
| (-0.98004289057278090052 - 1.6225852948847329494e-459j)  +/-  (3.52e-124, 3.52e-124j)
| (-2.7832900997816517708 + 9.7705507953934451106e-457j)  +/-  (4.22e-121, 4.22e-121j)
| (2.3870936703854087818 - 5.7728394624429139415e-465j)  +/-  (1.67e-121, 1.67e-121j)
| (2.0259480158257553352 + 2.6585619785512310618e-468j)  +/-  (5.98e-122, 5.98e-122j)
| (-3.2122180942926640015 + 1.6478209705436256175e-471j)  +/-  (8.71e-121, 8.71e-121j)
| (-2.0259480158257553352 + 1.0772572597842406232e-480j)  +/-  (5.64e-122, 5.64e-122j)
| (-1.6792396431257628842 + 8.5346424072746167129e-483j)  +/-  (1.4e-122, 1.4e-122j)
| (-1.5395853978920314944e-492 - 1.8688687394278972712e-492j)  +/-  (7.51e-491, 7.51e-491j)
| (0.33749548537770343821 - 5.5669669282240352785e-489j)  +/-  (2.56e-126, 2.56e-126j)
| (0.65680956688209976502 + 1.2102346201505871343e-486j)  +/-  (3.7e-125, 3.7e-125j)
| (-0.33749548537770343821 + 7.8119835156694493115e-489j)  +/-  (2.56e-126, 2.56e-126j)
| (-0.65680956688209976502 + 1.6738597557110616338e-486j)  +/-  (3.5e-125, 3.5e-125j)
| (0.98004289057278090052 + 2.1892054652629486043e-485j)  +/-  (2.95e-124, 2.95e-124j)
-------------------------------------------------
The weights are:
| (9.1739319787726354556e-09 + 1.6759069571692195502e-424j)  +/-  (1.4e-29, 4.01e-90j)
| (1.0456090247764212832e-10 - 2.4839213931688626414e-427j)  +/-  (2.01e-31, 5.73e-92j)
| (5.2461474880802631897e-20 + 1.4308561983878366037e-432j)  +/-  (2.35e-36, 6.72e-97j)
| (9.1739319787726354556e-09 + 3.9320133920599845096e-426j)  +/-  (4.06e-30, 1.16e-90j)
| (5.1277560936511977394e-16 + 1.2702827416395098351e-429j)  +/-  (9.06e-36, 2.59e-96j)
| (5.2461474880802631897e-20 - 6.2636564596829100844e-432j)  +/-  (1.35e-37, 3.87e-98j)
| (3.7876913344776456472e-07 - 7.2720328040820090791e-424j)  +/-  (4.15e-31, 1.19e-91j)
| (4.5701117370634665994e-13 - 8.8389868811169463018e-428j)  +/-  (8.19e-35, 2.34e-95j)
| (4.5701117370634665994e-13 + 1.0122563690035502755e-428j)  +/-  (2.14e-36, 6.11e-97j)
| (1.0456090247764212832e-10 + 4.2510096602083866971e-426j)  +/-  (1.23e-33, 3.53e-94j)
| (0.034326685390994574043 - 4.2743031946532057284e-421j)  +/-  (3.9e-25, 1.12e-85j)
| (0.00010089311755289736947 - 2.7904103860899253813e-423j)  +/-  (1.89e-31, 5.39e-92j)
| (0.00071421202089602973977 + 5.6345713808988266223e-422j)  +/-  (1.97e-30, 5.64e-91j)
| (0.034326685390994574043 - 8.2882003882246734914e-421j)  +/-  (1.65e-26, 4.71e-87j)
| (3.7876913344776456472e-07 - 4.4944450809484412656e-425j)  +/-  (1.16e-33, 3.33e-94j)
| (0.011742899586704841746 + 1.7409380234385494473e-421j)  +/-  (5.12e-29, 1.46e-89j)
| (8.2548274999672213513e-06 + 3.9684563239356563309e-424j)  +/-  (6.14e-33, 1.75e-93j)
| (5.1277560936511977394e-16 - 2.158418020613404862e-430j)  +/-  (3.46e-39, 9.9e-100j)
| (0.072476636560018271045 + 1.4966883590279936362e-420j)  +/-  (3.29e-29, 9.39e-90j)
| (0.00010089311755289736947 - 1.4140775438309976644e-422j)  +/-  (7.83e-34, 2.24e-94j)
| (0.00071421202089602973977 + 1.5206465104906107099e-422j)  +/-  (5.72e-32, 1.63e-92j)
| (0.0032441923299317278265 - 5.9703902465891608004e-422j)  +/-  (2.17e-31, 6.21e-92j)
| (8.2548274999672213513e-06 + 3.1103051620116180131e-423j)  +/-  (1.23e-34, 3.52e-95j)
| (0.0032441923299317278265 - 1.735004127928572619e-421j)  +/-  (4.35e-33, 1.24e-93j)
| (0.011742899586704841746 + 4.1056592043110674391e-421j)  +/-  (1.2e-32, 3.42e-93j)
| (0.19313810471332931067 - 2.4283681509417577451e-420j)  +/-  (5.78e-33, 1.65e-93j)
| (0.16546304994543476564 + 2.1417218632769978109e-420j)  +/-  (2.5e-33, 7.12e-94j)
| (0.11535373581621841702 - 1.6030167244962694636e-420j)  +/-  (9.32e-34, 2.67e-94j)
| (0.16546304994543476564 + 2.5207280242974963781e-420j)  +/-  (8.81e-34, 2.58e-94j)
| (0.11535373581621841702 - 2.2055238340631498397e-420j)  +/-  (5.48e-34, 1.62e-94j)
| (0.072476636560018271045 + 9.2503396940864946516e-421j)  +/-  (1.81e-34, 4.7e-95j)
