Starting with polynomial:
P : 46189/256*t^10 - 109395/256*t^8 + 45045/128*t^6 - 15015/128*t^4 + 3465/256*t^2 - 63/256
Extension levels are: 10 11
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Trying to find an order 11 Kronrod extension for:
P1 : 46189/256*t^10 - 109395/256*t^8 + 45045/128*t^6 - 15015/128*t^4 + 3465/256*t^2 - 63/256
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 46189/256*t^21 - 5564559/5888*t^19 + 7182734559/3385600*t^17 - 1868043574397/700819200*t^15 + 3999135573000799/1947693360000*t^13 - 1386904017410797067/1388705365680000*t^11 + 169127380099602067/555482146272000*t^9 - 10331316242730483/185160715424000*t^7 + 1040693653902903/185160715424000*t^5 - 240347637420891/925803577120000*t^3 + 1635000786573/462901788560000*t
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 1
  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:
| (-0.99565716302580808074 - 2.3596683702433353133e-252j)  +/-  (3.26e-121, 3.26e-121j)
| (0.99565716302580808074 - 2.5136690390213077382e-260j)  +/-  (3.36e-121, 3.36e-121j)
| (-0.97390652851717172008 + 5.4899232884855722412e-271j)  +/-  (6.62e-121, 6.62e-121j)
| (-0.14887433898163121088 - 9.4100604776069113021e-276j)  +/-  (8.59e-127, 8.59e-127j)
| (0.930157491355708226 - 3.3017150563194219698e-284j)  +/-  (5.13e-121, 5.13e-121j)
| (0.67940956829902440623 + 4.9349503694241254151e-301j)  +/-  (1.69e-122, 1.69e-122j)
| (0.97390652851717172008 - 3.1797143326010309888e-312j)  +/-  (6.58e-121, 6.58e-121j)
| (-0.78081772658641689706 - 1.3196085850541549172e-324j)  +/-  (8.61e-122, 8.61e-122j)
| (-0.86506336668898451073 - 1.2109526476121186133e-324j)  +/-  (3.05e-121, 3.05e-121j)
| (0.56275713466860468334 - 2.3296911042189211016e-324j)  +/-  (2.57e-123, 2.57e-123j)
| (0.86506336668898451073 + 1.6655870445981285969e-337j)  +/-  (2.87e-121, 2.87e-121j)
| (0.14887433898163121088 - 6.7392541083745001602e-347j)  +/-  (8.12e-127, 8.12e-127j)
| (-0.56275713466860468334 - 5.428658932852165286e-349j)  +/-  (2.62e-123, 2.62e-123j)
| (-0.4333953941292471908 - 5.4195388045529291339e-349j)  +/-  (2.56e-124, 2.56e-124j)
| (1.035758160479490347e-350 - 4.5956287524943708577e-351j)  +/-  (2.38e-349, 2.38e-349j)
| (0.78081772658641689706 + 6.8283474332221522707e-355j)  +/-  (8.63e-122, 8.63e-122j)
| (0.4333953941292471908 + 2.6319322335366342185e-360j)  +/-  (2.48e-124, 2.48e-124j)
| (-0.930157491355708226 + 3.1212008351042219113e-361j)  +/-  (5.69e-121, 5.69e-121j)
| (-0.67940956829902440623 - 5.4322482256341202972e-367j)  +/-  (1.74e-122, 1.74e-122j)
| (-0.29439286270146019813 + 6.069643747895982331e-370j)  +/-  (1.61e-125, 1.61e-125j)
| (0.29439286270146019813 - 2.5504629427290324219e-371j)  +/-  (1.61e-125, 1.61e-125j)
-------------------------------------------------
The weights are:
| (0.011694638867371874278 - 2.501077498436999655e-252j)  +/-  (6.85e-45, 1e-102j)
| (0.011694638867371874278 - 1.3857890751353187152e-254j)  +/-  (1.71e-45, 2.51e-103j)
| (0.032558162307964727479 + 3.7008481998090592282e-252j)  +/-  (3.27e-45, 4.79e-103j)
| (0.14773910490133849137 + 4.1182208727668120588e-253j)  +/-  (1.38e-46, 2.02e-104j)
| (0.054755896574351996031 - 6.7091459953639863799e-254j)  +/-  (6.24e-46, 9.15e-104j)
| (0.1093871588022976419 + 1.5453338174403932941e-253j)  +/-  (1.41e-46, 2.07e-104j)
| (0.032558162307964727479 + 4.0869822729485006488e-254j)  +/-  (8.37e-46, 1.23e-103j)
| (0.093125454583697605535 - 1.0228345084333795359e-252j)  +/-  (2.46e-47, 3.61e-105j)
| (0.075039674810919952767 + 1.3445269155971153459e-252j)  +/-  (2.8e-47, 4.1e-105j)
| (0.12349197626206585108 - 1.8698500111343073673e-253j)  +/-  (2.3e-47, 3.36e-105j)
| (0.075039674810919952767 + 9.4364975750770220525e-254j)  +/-  (4.37e-47, 6.41e-105j)
| (0.14773910490133849137 + 3.046869982902569877e-253j)  +/-  (3.97e-48, 5.82e-106j)
| (0.12349197626206585108 - 6.7313488199105667533e-253j)  +/-  (1.21e-48, 1.79e-106j)
| (0.13470921731147332593 + 5.6470330667725209006e-253j)  +/-  (9.67e-49, 1.42e-106j)
| (0.14944555400291690566 - 3.5418008948574998734e-253j)  +/-  (1.66e-48, 2.41e-106j)
| (0.093125454583697605535 - 1.2369731290566381341e-253j)  +/-  (1.79e-48, 2.61e-106j)
| (0.13470921731147332593 + 2.2218292200560369757e-253j)  +/-  (7.15e-49, 1.05e-106j)
| (0.054755896574351996031 - 1.972616867986265638e-252j)  +/-  (1.18e-49, 1.78e-107j)
| (0.1093871588022976419 + 8.1851607740160122925e-253j)  +/-  (1.97e-49, 2.97e-107j)
| (0.1427759385770600808 - 4.8042352103957777099e-253j)  +/-  (1.55e-49, 2.4e-107j)
| (0.1427759385770600808 - 2.6115565518474747725e-253j)  +/-  (1.25e-49, 1.62e-107j)
