Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 19
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Trying to find an order 19 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
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Ending with final polynomial:
P : 231/16*t^25 - 9195504511022816175/106865715920001184*t^23 + 987082928693024544975/4381494352720048544*t^21 - 252273465066682070140525/740472545609688203936*t^19 + 9018052831903524345062775/27397484187558463545632*t^17 - 20345210764902602421538905/95891194656454622409712*t^15 + 1267247021747816083178175/13698742093779231772816*t^13 - 28532539698419833307325/1053749391829171674832*t^11 + 78999949902853566845775/15279366181522989285064*t^9 - 1153819767362636203562425/1894641406508850671347936*t^7 + 75783429233640444446625/1894641406508850671347936*t^5 - 2287829422287644637875/1894641406508850671347936*t^3 + 421002998964409617125/39787469536685864098306656*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: 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:
| (-0.11863743263249414959 - 3.711769147381843399e-437j)  +/-  (8.55e-127, 8.55e-127j)
| (-0.66120938646626451366 - 4.5213582512013107358e-432j)  +/-  (2.48e-121, 2.48e-121j)
| (-0.93246951420315202781 + 1.0952484489736120721e-437j)  +/-  (6.63e-120, 6.63e-120j)
| (0.99468342524458631834 + 1.5477179745617863182e-445j)  +/-  (2.13e-120, 2.13e-120j)
| (0.87719170861130077191 - 6.4673672204106348277e-445j)  +/-  (4.14e-120, 4.14e-120j)
| (0.93246951420315202781 - 1.6459825348631299987e-447j)  +/-  (5.78e-120, 5.78e-120j)
| (0.73613181587298229441 + 5.3826304788931216822e-452j)  +/-  (8.58e-121, 8.58e-121j)
| (-0.87719170861130077191 - 7.9442580912467483607e-455j)  +/-  (4.13e-120, 4.13e-120j)
| (-0.99468342524458631834 + 8.753011823717032687e-464j)  +/-  (2.17e-120, 2.17e-120j)
| (0.97217159617418943767 + 9.9093523229216113828e-478j)  +/-  (5.21e-120, 5.21e-120j)
| (0.80960901457309399308 - 1.059302313207927678e-478j)  +/-  (2.2e-120, 2.2e-120j)
| (0.23861918608319690863 - 3.2829597291255093854e-481j)  +/-  (1.51e-125, 1.51e-125j)
| (-0.97217159617418943767 + 3.8692586038059596903e-476j)  +/-  (5.27e-120, 5.27e-120j)
| (-0.73613181587298229441 + 3.1561515324670186038e-482j)  +/-  (8.57e-121, 8.57e-121j)
| (0.11863743263249414959 + 5.5018411694549066852e-494j)  +/-  (7.6e-127, 7.6e-127j)
| (0.66120938646626451366 - 1.2147427070976982923e-491j)  +/-  (2.42e-121, 2.42e-121j)
| (0.47176300961077115642 + 6.0038926425314886189e-494j)  +/-  (3.42e-123, 3.42e-123j)
| (-0.23861918608319690863 + 2.4651184901861559496e-491j)  +/-  (1.59e-125, 1.59e-125j)
| (-0.80960901457309399308 + 5.7027734990817852879e-492j)  +/-  (2.25e-120, 2.25e-120j)
| (-0.35781742309257644972 + 1.4681973275282028558e-497j)  +/-  (2.58e-124, 2.58e-124j)
| (0.35781742309257644972 + 3.946271285811766292e-499j)  +/-  (2.95e-124, 2.95e-124j)
| (0.57475672892293602727 + 4.6903186166958332018e-498j)  +/-  (3.56e-122, 3.56e-122j)
| (4.4015114213175770325e-501 + 3.6368853422684563378e-501j)  +/-  (1.43e-499, 1.43e-499j)
| (-0.47176300961077115642 - 7.8124762091964643171e-496j)  +/-  (3.44e-123, 3.44e-123j)
| (-0.57475672892293602727 - 5.2541288091395852591e-498j)  +/-  (3.61e-122, 3.61e-122j)
-------------------------------------------------
The weights are:
| (0.11935580424297425341 + 7.8685642289360548083e-433j)  +/-  (5.54e-36, 1.47e-94j)
| (0.078356947901589681034 - 3.3964114963000276869e-433j)  +/-  (3.46e-36, 9.18e-95j)
| (0.047856448941989378556 + 1.3956530335459536863e-433j)  +/-  (1.27e-36, 3.38e-95j)
| (0.013623385428006800319 - 2.603209226031237518e-435j)  +/-  (2.77e-37, 7.35e-96j)
| (0.062186195627497869916 + 4.9754661988225899654e-434j)  +/-  (2.15e-37, 5.71e-96j)
| (0.047856448941989378556 - 2.3753763039337575303e-434j)  +/-  (1.75e-37, 4.65e-96j)
| (0.073838861726889769752 + 1.8766799828381523973e-433j)  +/-  (3.52e-38, 9.35e-97j)
| (0.062186195627497869916 - 3.5442099348980227691e-433j)  +/-  (1.55e-38, 4.12e-97j)
| (0.013623385428006800319 + 1.2925792761529274747e-434j)  +/-  (2.25e-39, 5.96e-98j)
| (0.031289102572302449692 + 1.0063022859643616788e-434j)  +/-  (5.45e-38, 1.45e-96j)
| (0.071896812739844459586 - 1.0120340716456680684e-433j)  +/-  (3.27e-38, 8.69e-97j)
| (0.1202125017047547434 - 4.3474441921915511252e-433j)  +/-  (4.33e-40, 1.15e-98j)
| (0.031289102572302449692 - 5.2853226486227778585e-434j)  +/-  (3.99e-40, 1.06e-98j)
| (0.073838861726889769752 - 3.5002171318124360738e-432j)  +/-  (2.3e-40, 6.11e-99j)
| (0.11935580424297425341 + 5.474316442552819681e-433j)  +/-  (2.14e-40, 5.68e-99j)
| (0.078356947901589681034 - 2.6789511450270971655e-433j)  +/-  (4.54e-40, 1.2e-98j)
| (0.10953192945209169446 - 3.1524320562413360449e-433j)  +/-  (8.87e-41, 2.36e-99j)
| (0.1202125017047547434 - 9.257688316637567659e-433j)  +/-  (6.74e-42, 1.79e-100j)
| (0.071896812739844459586 + 1.0030899716814783082e-432j)  +/-  (8.59e-42, 2.28e-100j)
| (0.11741969176183104465 + 1.1965642359717054172e-432j)  +/-  (2.04e-42, 5.41e-101j)
| (0.11741969176183104465 + 3.5623579108029681243e-433j)  +/-  (6.4e-42, 1.7e-100j)
| (0.095322867406980445495 + 2.9972623923057368336e-433j)  +/-  (5.49e-42, 1.46e-100j)
| (0.11821890098649481945 - 6.7132894131889081637e-433j)  +/-  (3.89e-42, 1.03e-100j)
| (0.10953192945209169446 - 1.8853509535659236894e-432j)  +/-  (2.71e-43, 7.25e-102j)
| (0.095322867406980445495 + 4.2851432623822231531e-432j)  +/-  (2.52e-43, 6.6e-102j)
