Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 30
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^32 - 3328368661/285500252*t^30 + 690469043295/16844514868*t^28 - 27594751918545/320045782492*t^26 + 425584315303875/3520503607412*t^24 - 22232015938612935/186586691192836*t^22 + 24467073951193965/288361250025292*t^20 - 4693223668164525/106238355272476*t^18 + 4942312805391975/293717805753316*t^16 - 23124916429875/4978267894124*t^14 + 1643656507154805/1804266521056084*t^12 - 9081791544829185/73974927363299444*t^10 + 798235004493225/73974927363299444*t^8 - 1557706385810925/2737072312442079428*t^6 + 299172295141875/19159506187094555996*t^4 - 35273381967045/210754568058040115956*t^2 + 61808718915/210754568058040115956
-------------------------------------------------
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:
| (-0.99716452095758668757 - 7.8233473964750508638e-445j)  +/-  (1.08e-117, 1.08e-117j)
| (-0.9850928092180847851 - 1.0484579087028745618e-447j)  +/-  (2.81e-117, 2.81e-117j)
| (-0.89279796325737544963 + 1.429398072144643125e-449j)  +/-  (1.47e-117, 1.47e-117j)
| (0.9850928092180847851 - 1.100173615379928945e-446j)  +/-  (2.88e-117, 2.88e-117j)
| (0.89279796325737544963 - 2.6477849451571303387e-447j)  +/-  (1.44e-117, 1.44e-117j)
| (0.57735026918962576451 + 1.6484742006145644539e-452j)  +/-  (1.48e-120, 1.48e-120j)
| (0.93263446981131935279 + 1.5738920953936093964e-447j)  +/-  (2.64e-117, 2.64e-117j)
| (-0.93263446981131935279 - 1.4536985203840526061e-449j)  +/-  (2.37e-117, 2.37e-117j)
| (-0.96350840339848333142 + 5.5972322362349082063e-451j)  +/-  (3.29e-117, 3.29e-117j)
| (0.96350840339848333142 - 9.4506322703377457078e-450j)  +/-  (3.24e-117, 3.24e-117j)
| (0.8444240145479916657 - 1.7390774068051263634e-454j)  +/-  (6.2e-118, 6.2e-118j)
| (0.99716452095758668757 - 1.0943483793162606711e-456j)  +/-  (1.05e-117, 1.05e-117j)
| (-0.8444240145479916657 + 4.4397251261009579903e-457j)  +/-  (6.28e-118, 6.28e-118j)
| (-0.72424008926159570253 - 7.4959494807137129547e-459j)  +/-  (4.79e-119, 4.79e-119j)
| (-0.046386378916034925902 + 1.3879658144193229582e-465j)  +/-  (2.74e-127, 2.74e-127j)
| (0.78803340490391202337 - 2.1073098383725937417e-472j)  +/-  (2.03e-118, 2.03e-118j)
| (0.2310125947873047984 - 2.324524766540645864e-476j)  +/-  (6.2e-125, 6.2e-125j)
| (-0.41039619817040099111 - 8.166256807860542489e-475j)  +/-  (1.45e-122, 1.45e-122j)
| (-0.78803340490391202337 - 1.3935598684730354268e-476j)  +/-  (1.9e-118, 1.9e-118j)
| (-0.32176942274351192028 - 8.3492907711378211272e-478j)  +/-  (1.1e-123, 1.1e-123j)
| (0.495918517023312439 - 7.4628460625776637706e-480j)  +/-  (1.47e-121, 1.47e-121j)
| (0.72424008926159570253 + 5.3838901240234170073e-481j)  +/-  (5.2e-119, 5.2e-119j)
| (0.046386378916034925902 - 2.7250655711684252141e-483j)  +/-  (2e-127, 2e-127j)
| (-0.57735026918962576451 + 9.1910551982114293257e-488j)  +/-  (1.35e-120, 1.35e-120j)
| (-0.495918517023312439 + 4.9136734929379527086e-488j)  +/-  (1.65e-121, 1.65e-121j)
| (0.13899661033205330765 - 1.520501194940298413e-488j)  +/-  (3.77e-126, 3.77e-126j)
| (0.65374851483730183114 + 9.4709850400196357864e-493j)  +/-  (9.36e-120, 9.36e-120j)
| (0.41039619817040099111 - 3.3981290177035868536e-496j)  +/-  (1.36e-122, 1.36e-122j)
| (-0.2310125947873047984 + 1.2212882981356972566e-498j)  +/-  (7.04e-125, 7.04e-125j)
| (-0.65374851483730183114 - 2.2185773959128649443e-510j)  +/-  (9.32e-120, 9.32e-120j)
| (-0.13899661033205330765 + 8.503784795854045546e-516j)  +/-  (4.19e-126, 4.19e-126j)
| (0.32176942274351192028 + 2.0793469682480206093e-520j)  +/-  (9.77e-124, 9.77e-124j)
-------------------------------------------------
The weights are:
| (0.0072730129549342337193 - 1.0069285327995695247e-444j)  +/-  (3.21e-26, 1.81e-81j)
| (0.016855887794715447521 + 1.6558190951007025276e-444j)  +/-  (2.43e-26, 1.37e-81j)
| (0.044184134362643687008 - 8.7653331765926314537e-445j)  +/-  (4.89e-27, 2.75e-82j)
| (0.016855887794715447521 - 3.1369584067869035448e-447j)  +/-  (3.99e-28, 2.24e-83j)
| (0.044184134362643687008 + 4.1865805603243181833e-446j)  +/-  (4.18e-28, 2.35e-83j)
| (0.079066899486878662237 - 1.8498660683827250402e-445j)  +/-  (1.01e-28, 5.67e-84j)
| (0.035417983539818926178 - 2.0074198889160326282e-446j)  +/-  (3.28e-28, 1.84e-83j)
| (0.035417983539818926178 + 9.8279818794180889832e-445j)  +/-  (5.53e-28, 3.11e-83j)
| (0.02627533595303856513 - 1.1732004911900344632e-444j)  +/-  (9.99e-28, 5.62e-83j)
| (0.02627533595303856513 + 1.3252832369760520525e-447j)  +/-  (1.01e-28, 5.65e-84j)
| (0.052476925131337637306 - 6.3543664854201598484e-446j)  +/-  (1.47e-29, 8.29e-85j)
| (0.0072730129549342337193 + 7.0735181318677873956e-447j)  +/-  (2.31e-29, 1.3e-84j)
| (0.052476925131337637306 + 8.0968763913861329863e-445j)  +/-  (2.71e-30, 1.52e-85j)
| (0.067267246206034843244 + 7.3733058045880106596e-445j)  +/-  (1.9e-31, 1.07e-86j)
| (0.09274772008200404332 + 6.3959701472394757191e-445j)  +/-  (3.86e-33, 2.17e-88j)
| (0.060201924474068239067 + 8.5182219820232289654e-446j)  +/-  (3.63e-31, 2.04e-86j)
| (0.091517360600203961368 - 4.3257176507667537364e-445j)  +/-  (4.09e-33, 2.3e-88j)
| (0.08724036513535241246 + 7.068480565068149605e-445j)  +/-  (9.72e-34, 5.46e-89j)
| (0.060201924474068239067 - 7.6585633853241083346e-445j)  +/-  (3.07e-32, 1.73e-87j)
| (0.089849210898685036738 - 7.0565022177782939989e-445j)  +/-  (5.67e-34, 3.19e-89j)
| (0.083639039493235498062 + 2.33110054997415432e-445j)  +/-  (3.18e-34, 1.79e-89j)
| (0.067267246206034843244 - 1.122512434949157308e-445j)  +/-  (1.44e-33, 8.11e-89j)
| (0.09274772008200404332 - 5.8197530093290349663e-445j)  +/-  (5.3e-35, 2.98e-90j)
| (0.079066899486878662237 + 7.1062327843709399146e-445j)  +/-  (1.05e-34, 5.89e-90j)
| (0.083639039493235498062 - 7.0721493330674774491e-445j)  +/-  (1.21e-34, 6.78e-90j)
| (0.092403066550334938674 + 5.1006506804975920235e-445j)  +/-  (3.56e-35, 2e-90j)
| (0.073583887336713867967 + 1.4513985572459528541e-445j)  +/-  (3.69e-35, 2.08e-90j)
| (0.08724036513535241246 - 2.9062386021590178688e-445j)  +/-  (8.33e-36, 4.7e-91j)
| (0.091517360600203961368 + 6.981994460457844965e-445j)  +/-  (1.96e-36, 1.11e-91j)
| (0.073583887336713867967 - 7.1985798918651865163e-445j)  +/-  (1.58e-36, 8.89e-92j)
| (0.092403066550334938674 - 6.779890016965063868e-445j)  +/-  (1.6e-36, 9.09e-92j)
| (0.089849210898685036738 + 3.5772932094004182871e-445j)  +/-  (1.08e-36, 5.88e-92j)
