Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 4 14
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Trying to find an order 4 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P2 : 5/2*t^7 - 77/18*t^5 + 3745/1782*t^3 - 155/594*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^21 - 3154018538165635741/246284005254113214*t^19 + 7892072105177104337036/280394339981807894139*t^17 - 265924088583647259325133/7669609887737686516155*t^15 + 388996810415054045638616/14827912449626193931233*t^13 - 57794390155467624793862/4601765932642611909693*t^11 + 137437135124485251291691/36395785103627930558481*t^9 - 317853133842850693417187/465057254101912446025035*t^7 + 11707428706438598797703/172243427445152757787050*t^5 - 8607252137819757485089/2790343524611474676150210*t^3 + 10358916317135083061/255031397410726180078245*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:
| (-0.99238096841138344403 - 1.2197767159632302039e-296j)  +/-  (1.46e-121, 1.46e-121j)
| (0.96049126870802028342 - 1.5056226498491900309e-313j)  +/-  (3.98e-121, 3.98e-121j)
| (-0.84098794480630742479 - 5.809183885398126935e-332j)  +/-  (3.45e-121, 3.45e-121j)
| (-0.14550237437644367558 + 3.1395110807653461388e-340j)  +/-  (9.2e-127, 9.2e-127j)
| (0.84098794480630742479 - 3.7205558220195704883e-338j)  +/-  (3.1e-121, 3.1e-121j)
| (0.77459666924148337704 - 4.5125796469372228597e-343j)  +/-  (1.4e-121, 1.4e-121j)
| (0.99238096841138344403 - 5.147603202972065554e-356j)  +/-  (1.42e-121, 1.42e-121j)
| (-0.90651084093286148696 + 1.317133927274688754e-366j)  +/-  (4.23e-121, 4.23e-121j)
| (-0.77459666924148337704 - 1.0224049389421603583e-376j)  +/-  (1.42e-121, 1.42e-121j)
| (0.434243749346802558 - 5.1948246588517852969e-385j)  +/-  (2.23e-124, 2.23e-124j)
| (0.90651084093286148696 - 7.097589578549663109e-385j)  +/-  (4e-121, 4e-121j)
| (0.14550237437644367558 - 7.385049854949567099e-386j)  +/-  (9.2e-127, 9.2e-127j)
| (-0.434243749346802558 + 6.2454243464732689051e-384j)  +/-  (2.04e-124, 2.04e-124j)
| (-0.56789569574543535488 - 1.0266123865461569775e-383j)  +/-  (2.76e-123, 2.76e-123j)
| (-1.4218618000240692864e-388 - 4.6345662111546582543e-388j)  +/-  (1.02e-386, 1.02e-386j)
| (0.68484897563095490129 + 7.7656057710352744978e-390j)  +/-  (2.44e-122, 2.44e-122j)
| (0.56789569574543535488 - 6.2418060781465828766e-388j)  +/-  (2.82e-123, 2.82e-123j)
| (-0.96049126870802028342 - 1.3428580577769449096e-393j)  +/-  (3.74e-121, 3.74e-121j)
| (-0.68484897563095490129 + 5.6771679523897409635e-406j)  +/-  (2.73e-122, 2.73e-122j)
| (-0.29141576534034486946 + 1.0213031733882277463e-412j)  +/-  (1.55e-125, 1.55e-125j)
| (0.29141576534034486946 + 1.2645788730535837884e-412j)  +/-  (1.63e-125, 1.63e-125j)
-------------------------------------------------
The weights are:
| (0.019485668937456339407 - 1.6985828608848194619e-296j)  +/-  (4.85e-44, 5.26e-103j)
| (0.043832842464698566743 + 5.0578364713195059405e-298j)  +/-  (1.71e-44, 1.86e-103j)
| (0.065183885324167174876 + 3.7542183227733816363e-296j)  +/-  (1.21e-44, 1.31e-103j)
| (0.14594128450395786274 + 8.3983609818090395527e-297j)  +/-  (2.31e-45, 2.51e-104j)
| (0.065183885324167174876 + 3.1000987256881299993e-297j)  +/-  (7.76e-45, 8.41e-104j)
| (0.073736372866981307717 - 4.2914071125845561154e-297j)  +/-  (4.95e-45, 5.37e-104j)
| (0.019485668937456339407 - 1.1975322996633844091e-298j)  +/-  (1.61e-45, 1.74e-104j)
| (0.062526765948809474705 - 3.091934939094744545e-296j)  +/-  (3.96e-46, 4.29e-105j)
| (0.073736372866981307717 - 3.4818030642722242493e-296j)  +/-  (3.43e-46, 3.72e-105j)
| (0.13935761878410274037 + 4.3254764336946574606e-297j)  +/-  (1.56e-46, 1.69e-105j)
| (0.062526765948809474705 - 1.3982094507377442061e-297j)  +/-  (1.57e-45, 1.7e-104j)
| (0.14594128450395786274 + 6.2505459681366758112e-297j)  +/-  (7.3e-47, 7.92e-106j)
| (0.13935761878410274037 + 1.1056119150647990709e-296j)  +/-  (1.86e-47, 2.02e-106j)
| (0.12673897876588569129 - 1.4699248334790513511e-296j)  +/-  (1.16e-47, 1.26e-106j)
| (0.14521721917375075605 - 7.4287005350857678973e-297j)  +/-  (3.5e-47, 3.78e-106j)
| (0.10533078178711567331 + 4.1829780526994514274e-297j)  +/-  (2.24e-47, 2.42e-106j)
| (0.12673897876588569129 - 3.9990436188122784538e-297j)  +/-  (1.31e-47, 1.42e-106j)
| (0.043832842464698566743 + 3.0973350381496845682e-296j)  +/-  (4.88e-49, 5.37e-108j)
| (0.10533078178711567331 + 2.2813288405634522192e-296j)  +/-  (2.24e-48, 2.46e-107j)
| (0.14525719102994979081 - 9.3716203687298319364e-297j)  +/-  (1.25e-48, 1.4e-107j)
| (0.14525719102994979081 - 5.116993681448166668e-297j)  +/-  (1.04e-48, 1e-107j)
