Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4 23
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Trying to find an order 23 Kronrod extension for:
P1 : 35/8*t^4 - 15/4*t^2 + 3/8
Solvable: 1
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Ending with final polynomial:
P : 35/8*t^27 - 33059314784135133/1130189098886792*t^25 + 306994130657306013753/3532406028570668396*t^23 - 2670462834723937761651/17662030142853341980*t^21 + 7414434520177325114331/43398131208153926008*t^19 - 12310351497689448174543/93648598922858471912*t^17 + 1643857484252486307057/23412149730714617978*t^15 - 3224317708935659072781/123749934290920123598*t^13 + 114589456579827772365537/17324990800728817303720*t^11 - 26937741216510478840629/24254987121020344225208*t^9 + 1410359537420216114589/12127493560510172112604*t^7 - 10684012949502674551263/1557516672985520675604428*t^5 + 586677435255356621553/3115033345971041351208856*t^3 - 119436372097909205319/77875833649276033780221400*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:
| (0.9963954318196572723 - 9.8965285562983992446e-429j)  +/-  (3.35e-119, 3.35e-119j)
| (0.22921694893155726644 - 3.2757677352582802323e-453j)  +/-  (1.72e-125, 1.72e-125j)
| (-0.91319652313892387481 + 1.1955013362038338136e-448j)  +/-  (6.3e-119, 6.3e-119j)
| (0.98098895946912284949 + 4.3404086030539935609e-450j)  +/-  (8.47e-119, 8.47e-119j)
| (0.95323623579077202938 - 4.4735130359319438319e-458j)  +/-  (9.32e-119, 9.32e-119j)
| (0.79756847138598560118 + 1.3462652803837751923e-466j)  +/-  (9.18e-120, 9.18e-120j)
| (-0.3399810435848562648 - 7.6169461858752870408e-473j)  +/-  (3.12e-124, 3.12e-124j)
| (-0.95323623579077202938 + 8.2702561387806453141e-465j)  +/-  (9.92e-119, 9.92e-119j)
| (-0.98098895946912284949 + 3.8642626587933705321e-466j)  +/-  (8.82e-119, 8.82e-119j)
| (-0.11538017745731096221 + 1.0678965238981374331e-475j)  +/-  (8.42e-127, 8.42e-127j)
| (0.91319652313892387481 - 8.6222425667768350717e-469j)  +/-  (6.29e-119, 6.29e-119j)
| (-0.9963954318196572723 + 4.9992573177396411878e-476j)  +/-  (3.44e-119, 3.44e-119j)
| (-0.86113631159405257522 + 1.3911797991651286521e-476j)  +/-  (3.02e-119, 3.02e-119j)
| (-0.79756847138598560118 - 1.8140630085086096553e-477j)  +/-  (9.57e-120, 9.57e-120j)
| (0.11538017745731096221 - 2.9510175037554556498e-485j)  +/-  (8.42e-127, 8.42e-127j)
| (0.72324507019379705233 - 1.1193134078056450885e-477j)  +/-  (2.05e-120, 2.05e-120j)
| (0.44617367237953752465 + 3.4733938871942908523e-483j)  +/-  (3.99e-123, 3.99e-123j)
| (0.86113631159405257522 + 9.5920751296580841186e-480j)  +/-  (2.89e-119, 2.89e-119j)
| (-0.72324507019379705233 + 6.8766319404317226562e-486j)  +/-  (2.2e-120, 2.2e-120j)
| (-0.44617367237953752465 + 3.4411163600343862369e-488j)  +/-  (4.04e-123, 4.04e-123j)
| (0.3399810435848562648 - 3.5843045059627214967e-490j)  +/-  (3.22e-124, 3.22e-124j)
| (0.63912685447669330285 + 1.7240427504639396587e-488j)  +/-  (3.89e-121, 3.89e-121j)
| (-1.7393825949125781648e-491 - 3.6008346435706614852e-491j)  +/-  (1.08e-489, 1.08e-489j)
| (-0.54634664188572604393 + 1.4598750818467328404e-488j)  +/-  (4.27e-122, 4.27e-122j)
| (-0.63912685447669330285 + 3.7228404240177472297e-491j)  +/-  (3.76e-121, 3.76e-121j)
| (-0.22921694893155726644 - 1.6865877020075917265e-494j)  +/-  (1.6e-125, 1.6e-125j)
| (0.54634664188572604393 + 5.9797145317076443677e-500j)  +/-  (4.31e-122, 4.31e-122j)
-------------------------------------------------
The weights are:
| (0.0092530722956882961152 + 1.2465217072251741678e-428j)  +/-  (3.98e-35, 1.07e-91j)
| (0.11255337125597648874 - 2.9285192749233497267e-429j)  +/-  (4.35e-36, 1.17e-92j)
| (0.046114519475488656441 - 4.4141245983509659515e-430j)  +/-  (1.52e-36, 4.08e-93j)
| (0.021575823276642382769 - 2.00638502171198427e-428j)  +/-  (2.21e-35, 5.97e-92j)
| (0.033921143514770185586 + 1.3249962416563403432e-428j)  +/-  (1.01e-35, 2.72e-92j)
| (0.069089552432257415639 - 6.748123476634311556e-429j)  +/-  (9.62e-37, 2.59e-93j)
| (0.10872468602537438659 + 1.6200740059574006719e-429j)  +/-  (2.32e-37, 6.24e-94j)
| (0.033921143514770185586 + 2.9331577590382533223e-430j)  +/-  (2.34e-37, 6.31e-94j)
| (0.021575823276642382769 - 1.5632426096670730388e-430j)  +/-  (6.85e-38, 1.85e-94j)
| (0.11486502459834562232 + 2.0657096199148435533e-429j)  +/-  (1.23e-38, 3.3e-95j)
| (0.046114519475488656441 - 1.0131355032001460343e-428j)  +/-  (1.85e-37, 4.97e-94j)
| (0.0092530722956882961152 + 4.595228524910937614e-431j)  +/-  (2.46e-38, 6.63e-95j)
| (0.057920234663086394415 + 5.9354031540333227531e-430j)  +/-  (9.48e-39, 2.55e-95j)
| (0.069089552432257415639 - 7.4790182628133989976e-430j)  +/-  (2.14e-39, 5.76e-96j)
| (0.11486502459834562232 + 2.6067716306823055126e-429j)  +/-  (9.72e-40, 2.62e-96j)
| (0.079396501234734730594 + 5.7011604558244229145e-429j)  +/-  (3.6e-40, 9.69e-97j)
| (0.1034187971567722733 - 3.7320898509198152416e-429j)  +/-  (7.18e-41, 1.93e-97j)
| (0.057920234663086394415 + 8.1511692151962319539e-429j)  +/-  (1.45e-39, 3.92e-96j)
| (0.079396501234734730594 + 9.0558115976690994782e-430j)  +/-  (4.7e-41, 1.27e-97j)
| (0.1034187971567722733 - 1.4234860833940083693e-429j)  +/-  (1.16e-41, 3.11e-98j)
| (0.10872468602537438659 + 3.2982652860457805267e-429j)  +/-  (2.62e-41, 7.04e-98j)
| (0.088650529388641754615 - 4.8933714849291325727e-429j)  +/-  (9.04e-42, 2.43e-98j)
| (0.11563786595748821134 - 2.3217743673823221151e-429j)  +/-  (1.51e-41, 4.1e-98j)
| (0.096697811703477307201 + 1.240651256068159734e-429j)  +/-  (1.98e-42, 5.36e-99j)
| (0.088650529388641754615 - 1.0689232934820933499e-429j)  +/-  (1.88e-42, 5.09e-99j)
| (0.11255337125597648874 - 1.8331219639501244466e-429j)  +/-  (1.57e-42, 4.26e-99j)
| (0.096697811703477307201 + 4.2528830969921373119e-429j)  +/-  (9.54e-43, 2.41e-99j)
