Starting with polynomial:
P : t^11 - 55*t^9 + 990*t^7 - 6930*t^5 + 17325*t^3 - 10395*t
Extension levels are: 11 20
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Trying to find an order 20 Kronrod extension for:
P1 : t^11 - 55*t^9 + 990*t^7 - 6930*t^5 + 17325*t^3 - 10395*t
Solvable: 1
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Ending with final polynomial:
P : t^31 - 186754615/487167*t^29 + 2813400488215/44332197*t^27 - 88457579680185/14777399*t^25 + 406485657465975/1136723*t^23 - 210299177066181435/14777399*t^21 + 816199322769932175/2111057*t^19 - 15268839072508129275/2111057*t^17 + 196059658160229264675/2111057*t^15 - 131075104234384452375/162389*t^13 + 751248157705202420325/162389*t^11 - 2723130989547648656625/162389*t^9 + 5846199631464829984875/162389*t^7 - 6682280019495599932875/162389*t^5 + 3360445036383587315625/162389*t^3 - 480972980473586110125/162389*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:
| (3.3758602433140156956 - 2.8055823278772969288e-273j)  +/-  (2.29e-121, 2.29e-121j)
| (8.2752868248866355811 + 5.3888031395439392887e-273j)  +/-  (3.41e-121, 3.41e-121j)
| (-9.348299406763521473 - 1.1452875198236824762e-271j)  +/-  (3.97e-122, 3.97e-122j)
| (2.374803477783009939 + 2.9414124069896876863e-275j)  +/-  (1.86e-122, 1.86e-122j)
| (9.348299406763521473 - 7.3441794627469531386e-276j)  +/-  (4.31e-122, 4.31e-122j)
| (4.5427623942489428947 + 1.17432407135946826e-272j)  +/-  (9.47e-121, 9.47e-121j)
| (-2.374803477783009939 - 4.4459963046202150301e-276j)  +/-  (2e-122, 2e-122j)
| (-7.3902682389379084722 + 4.6028049371721452946e-275j)  +/-  (9.35e-121, 9.35e-121j)
| (-3.9361666071299769287 - 1.270559366841912368e-285j)  +/-  (5.49e-121, 5.49e-121j)
| (-1.8760350201548458453 + 7.5222005702459652311e-292j)  +/-  (3.17e-123, 3.17e-123j)
| (5.8715490718817808946 - 6.8036755922449604503e-288j)  +/-  (2.05e-120, 2.05e-120j)
| (6.6003356318658502739 - 1.0416226639317884051e-288j)  +/-  (1.51e-120, 1.51e-120j)
| (5.1880012243748709482 + 7.0166443154786795486e-291j)  +/-  (1.68e-120, 1.68e-120j)
| (-2.8651231606436449977 - 8.3027909811773087956e-295j)  +/-  (8.2e-122, 8.2e-122j)
| (-3.3758602433140156956 + 2.9487904985636169452e-294j)  +/-  (2.2e-121, 2.2e-121j)
| (3.9361666071299769287 + 2.8586666658175745467e-300j)  +/-  (5.56e-121, 5.56e-121j)
| (-4.5427623942489428947 + 4.5701056430214638416e-316j)  +/-  (9.8e-121, 9.8e-121j)
| (-8.2752868248866355811 + 3.3818859884687303345e-334j)  +/-  (3.03e-121, 3.03e-121j)
| (-0.47729069266083878932 - 6.1042811552521603666e-348j)  +/-  (3.64e-126, 3.64e-126j)
| (-5.1880012243748709482 - 1.4352539483871106988e-360j)  +/-  (1.72e-120, 1.72e-120j)
| (0.47729069266083878932 + 8.9192017763877871905e-368j)  +/-  (3.64e-126, 3.64e-126j)
| (9.8651188591344145422e-372 - 4.5594296515855567386e-371j)  +/-  (1.45e-369, 1.45e-369j)
| (2.8651231606436449977 + 1.4886859029214258054e-367j)  +/-  (7.76e-122, 7.76e-122j)
| (-1.3859899475553578477 + 1.1335849370886905692e-372j)  +/-  (4.38e-124, 4.38e-124j)
| (-0.92886899738106394014 + 3.6919223258293923313e-374j)  +/-  (5.47e-125, 5.47e-125j)
| (7.3902682389379084722 + 7.059189531318515905e-369j)  +/-  (9.83e-121, 9.83e-121j)
| (1.3859899475553578477 + 9.8605795674314747547e-373j)  +/-  (4.33e-124, 4.33e-124j)
| (0.92886899738106394014 + 4.1761967256360988865e-375j)  +/-  (5.28e-125, 5.28e-125j)
| (-6.6003356318658502739 + 3.0568070011361048491e-379j)  +/-  (1.68e-120, 1.68e-120j)
| (1.8760350201548458453 - 8.3257407120985817841e-392j)  +/-  (3.19e-123, 3.19e-123j)
| (-5.8715490718817808946 + 6.0484462168989484744e-389j)  +/-  (2.04e-120, 2.04e-120j)
-------------------------------------------------
The weights are:
| (0.00071421202089602973977 + 2.9593262693756072614e-276j)  +/-  (4.58e-28, 3.32e-88j)
| (5.1277560936511977394e-16 - 1.0433671518273192272e-284j)  +/-  (4.87e-40, 3.53e-100j)
| (5.2461474880802631897e-20 - 1.2746754803615953504e-287j)  +/-  (7.57e-43, 5.5e-103j)
| (0.011742899586704841746 + 4.2692271295746620434e-276j)  +/-  (3.72e-25, 2.7e-85j)
| (5.2461474880802631897e-20 + 5.4998908253316447729e-287j)  +/-  (8.32e-42, 6.04e-102j)
| (8.2548274999672213513e-06 - 3.6454315882847315758e-277j)  +/-  (4.05e-33, 2.94e-93j)
| (0.011742899586704841746 - 1.4772600739573713313e-276j)  +/-  (7.91e-28, 5.74e-88j)
| (4.5701117370634665994e-13 - 8.844111454432376565e-284j)  +/-  (1.11e-40, 8.02e-101j)
| (0.00010089311755289736947 + 2.2777554675275866199e-278j)  +/-  (9.74e-34, 7.07e-94j)
| (0.034326685390994574043 + 3.5445510372019112262e-276j)  +/-  (3.87e-26, 2.81e-86j)
| (9.1739319787726354556e-09 + 5.5443018339154984684e-280j)  +/-  (3.31e-37, 2.4e-97j)
| (1.0456090247764212832e-10 - 2.1790859676493753932e-281j)  +/-  (9.6e-39, 6.97e-99j)
| (3.7876913344776456472e-07 - 1.4200895584766174708e-278j)  +/-  (5.51e-36, 4e-96j)
| (0.0032441923299317278265 + 4.4582651791517896443e-277j)  +/-  (9.4e-33, 6.82e-93j)
| (0.00071421202089602973977 - 1.2050763253259377742e-277j)  +/-  (2.01e-34, 1.46e-94j)
| (0.00010089311755289736947 + 1.750167399817097132e-276j)  +/-  (4.04e-35, 2.93e-95j)
| (8.2548274999672213513e-06 - 3.3065170449150387625e-279j)  +/-  (4.05e-38, 2.94e-98j)
| (5.1277560936511977394e-16 + 1.9042626817563876979e-285j)  +/-  (3.13e-45, 2.28e-105j)
| (0.16546304994543476564 - 1.4652348149821166125e-275j)  +/-  (3.62e-32, 2.64e-92j)
| (3.7876913344776456472e-07 + 3.8042176324916229008e-280j)  +/-  (3.33e-40, 2.42e-100j)
| (0.16546304994543476564 - 1.349889718697087531e-275j)  +/-  (1.18e-32, 8.58e-93j)
| (0.19313810471332931067 + 1.5095539509859324472e-275j)  +/-  (1.81e-32, 1.32e-92j)
| (0.0032441923299317278265 - 7.5126809001116701464e-276j)  +/-  (3.42e-36, 2.49e-96j)
| (0.072476636560018271045 - 7.1458971450596922443e-276j)  +/-  (1.09e-33, 7.97e-94j)
| (0.11535373581621841702 + 1.171199382797580046e-275j)  +/-  (2.88e-33, 2.1e-93j)
| (4.5701117370634665994e-13 + 6.3532207079292937828e-283j)  +/-  (1.82e-43, 1.33e-103j)
| (0.072476636560018271045 - 3.5041278001021317128e-276j)  +/-  (1.81e-35, 1.34e-95j)
| (0.11535373581621841702 + 9.2037645630742988487e-276j)  +/-  (1.25e-35, 9.65e-96j)
| (1.0456090247764212832e-10 + 2.1519117505682475972e-282j)  +/-  (2.81e-43, 2.04e-103j)
| (0.034326685390994574043 - 7.1028639292927046565e-277j)  +/-  (1.24e-36, 9.76e-97j)
| (9.1739319787726354556e-09 - 3.3707918745143397559e-281j)  +/-  (4.63e-42, 3.35e-102j)
