Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 6 10
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Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P3 : 3/2*t^12 - 1595/364*t^10 + 318813/66248*t^8 - 10310751/4183088*t^6 + 2471775/4183088*t^4 - 33827/597584*t^2 + 31245/29281616
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^22 - 24300374758318208040850138546852992329/3211582919287143567159945147915851860*t^20 + 562164809281761421820203092568362074127/34382828900603537013124118642393237560*t^18 - 822484150936596891381724450043440280332591347/41594764793820731315774955024109788711160240*t^16 + 3663440350897832405841103363901946385460529/249668456145382540911014135798978323596400*t^14 - 25503024239649377930111467006860357942824474079/3702064662457874979509985989155266045493296400*t^12 + 1232029633295131511371583242104807991222129643/605343165051510146816427074978669753823709200*t^10 - 66083520786990472066362212943573353370479400137/181401168460435873995989313468608036229171523600*t^8 + 16083453624102193286589510173513297678035202403/440545694832487122561688332709476659413702271600*t^6 - 112676419423846405756718242729903088985628361/62935099261783874651669761815639522773386038800*t^4 + 4412063168259739657546272433562713566969755401/120268974689268984459340914829687128019940720146800*t^2 - 4549725869766970963402123492104495506209/18474496880072040623554672016849021201219772680
-------------------------------------------------
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:
| (0.99105250481616767714 - 2.1372468229952732861e-365j)  +/-  (1.21e-121, 1.21e-121j)
| (-0.64195465766433247869 - 8.9869814897051670924e-368j)  +/-  (2.29e-122, 2.29e-122j)
| (-0.95699433532754426818 - 1.4903883400100359061e-365j)  +/-  (3.64e-121, 3.64e-121j)
| (-0.99105250481616767714 - 2.603210040525681822e-367j)  +/-  (1.24e-121, 1.24e-121j)
| (0.43693939954921891801 + 6.332552128411407852e-367j)  +/-  (2.99e-124, 2.99e-124j)
| (0.95699433532754426818 - 5.363074379959030297e-365j)  +/-  (3.72e-121, 3.72e-121j)
| (-0.43693939954921891801 - 2.9113161650337940905e-367j)  +/-  (3.03e-124, 3.03e-124j)
| (-0.91248695683407599658 + 1.5094746044257284925e-369j)  +/-  (3.56e-121, 3.56e-121j)
| (-0.84710180829252134773 + 2.1696163688523842507e-369j)  +/-  (1.92e-121, 1.92e-121j)
| (0.91248695683407599658 - 1.9863597156546615016e-367j)  +/-  (3.61e-121, 3.61e-121j)
| (0.84710180829252134773 + 1.9620436378603536479e-369j)  +/-  (1.94e-121, 1.94e-121j)
| (0.2535630372636024051 - 5.0992752339297231029e-372j)  +/-  (1.44e-125, 1.44e-125j)
| (-0.15655801081562154215 - 2.099168172060183446e-381j)  +/-  (4.87e-126, 4.87e-126j)
| (-0.57735026918962576451 - 1.2909460567159082428e-388j)  +/-  (7.2e-123, 7.2e-123j)
| (-0.2535630372636024051 + 1.2015405092462750589e-395j)  +/-  (1.47e-125, 1.47e-125j)
| (0.74677180221832073614 + 1.7461727263963534877e-399j)  +/-  (5.74e-122, 5.74e-122j)
| (0.57735026918962576451 - 3.9724867003430817733e-402j)  +/-  (7.43e-123, 7.43e-123j)
| (0.11512729103972178883 - 6.5996098150777395425e-416j)  +/-  (2.11e-126, 2.11e-126j)
| (-0.74677180221832073614 - 1.0293619118006475006e-421j)  +/-  (5.68e-122, 5.68e-122j)
| (-0.11512729103972178883 + 6.34627543483380594e-426j)  +/-  (1.92e-126, 1.92e-126j)
| (0.15655801081562154215 + 2.8179875340992094727e-430j)  +/-  (4.87e-126, 4.87e-126j)
| (0.64195465766433247869 - 1.8944190736040720394e-432j)  +/-  (1.98e-122, 1.98e-122j)
-------------------------------------------------
The weights are:
| (0.022574899143151874072 + 4.7398635923272309336e-365j)  +/-  (2.17e-40, 1.8e-99j)
| (0.072837301959991309619 - 3.0671105438495429392e-365j)  +/-  (1.15e-40, 9.54e-100j)
| (0.042120266794599441816 - 1.5317665259412214877e-365j)  +/-  (4.6e-41, 3.83e-100j)
| (0.022574899143151874072 - 4.0930656434695068567e-366j)  +/-  (2.22e-41, 1.85e-100j)
| (0.16464439099845091032 + 5.6558847410032157456e-366j)  +/-  (2.21e-42, 1.84e-101j)
| (0.042120266794599441816 - 1.2386364305552512397e-365j)  +/-  (1.41e-42, 1.18e-101j)
| (0.16464439099845091032 - 1.5879810707129245393e-365j)  +/-  (6.24e-42, 5.19e-101j)
| (0.049214646563341799975 + 3.0292227298300643117e-365j)  +/-  (1.54e-41, 1.28e-100j)
| (0.084263092268448825274 - 1.8380887608774120751e-365j)  +/-  (7.5e-42, 6.25e-101j)
| (0.049214646563341799975 - 4.468968352331328401e-365j)  +/-  (6.28e-43, 5.23e-102j)
| (0.084263092268448825274 + 1.3420683661309391196e-365j)  +/-  (2.95e-43, 2.46e-102j)
| (0.22371853297292261131 - 1.7169413555716982317e-365j)  +/-  (6.02e-44, 5.02e-103j)
| (-0.22032955328406443122 - 1.0073647350391023759e-364j)  +/-  (3.63e-44, 3.02e-103j)
| (0.099282055596906896305 + 2.8831496077455534682e-365j)  +/-  (1.02e-43, 8.46e-103j)
| (0.22371853297292261131 + 3.5653912669565544689e-365j)  +/-  (3.54e-44, 2.95e-103j)
| (0.11295700872415978245 - 7.3190393260620759979e-366j)  +/-  (1.78e-45, 1.48e-104j)
| (0.099282055596906896305 - 9.8665618248633339041e-366j)  +/-  (1.33e-45, 1.11e-104j)
| (0.34871735826209098008 - 5.9206480831578168236e-365j)  +/-  (1.27e-45, 1.06e-104j)
| (0.11295700872415978245 + 1.7680230202615331938e-365j)  +/-  (5.54e-46, 4.6e-105j)
| (0.34871735826209098008 + 8.1628425982445665077e-365j)  +/-  (1.84e-45, 1.52e-104j)
| (-0.22032955328406443122 + 6.4932811431076111304e-365j)  +/-  (1.01e-45, 8.45e-105j)
| (0.072837301959991309619 + 1.0222243541233364638e-365j)  +/-  (7.73e-47, 6.14e-106j)
