Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 6 17
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 17 Kronrod extension for:
P2 : 3/2*t^8 - 161/52*t^6 + 105/52*t^4 - 245/572*t^2 + 25/1716
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^25 - 239149773239839492962333175/25734754719089366655711084*t^23 + 25345253038168927734987884425/1003655434044485299572732276*t^21 - 1794391541078767846950438113725/45387529072900612991789115148*t^19 + 5361627257342282710363159035845/136162587218701838975367345444*t^17 - 482707493922767930722255469185/18567625529822978042095547106*t^15 + 8609465606293013019801026425075/748894229702860114364520399942*t^13 - 5616444660361327007293104688325/1670610204721764870505468584486*t^11 + 39821591513000512507020723608300/63559124606914418027867145691581*t^9 - 6255314720394519487593662581/90250798163882737703751715572*t^7 + 112703017759093659954689342885/28248499825295296901274286974036*t^5 - 7688844455560495605798379805/84745499475885890703822860922108*t^3 + 9773188329258358180141025/28248499825295296901274286974036*t
-------------------------------------------------
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:
| (-0.06865560623462987499 + 1.7628253853863273389e-430j)  +/-  (2.65e-127, 2.65e-127j)
| (-0.68243146545880530573 + 1.1083108218289998337e-427j)  +/-  (1.36e-121, 1.36e-121j)
| (-0.9548618343502682658 - 1.4962949945596022668e-425j)  +/-  (2.36e-119, 2.36e-119j)
| (0.99658408971975974692 - 7.0320936885158129533e-424j)  +/-  (1.07e-119, 1.07e-119j)
| (0.91152112803049196631 + 6.6871924308639078067e-425j)  +/-  (1.06e-119, 1.06e-119j)
| (0.9548618343502682658 - 8.1233778711288614372e-431j)  +/-  (2.05e-119, 2.05e-119j)
| (0.46107785230345616117 - 2.7422833374272145829e-433j)  +/-  (1.25e-123, 1.25e-123j)
| (-0.91152112803049196631 - 5.3731667136080491743e-430j)  +/-  (1.15e-119, 1.15e-119j)
| (-0.99658408971975974692 + 1.358327012756572445e-429j)  +/-  (1.03e-119, 1.03e-119j)
| (0.98219129046748981137 - 1.4225070208360575642e-432j)  +/-  (2.27e-119, 2.27e-119j)
| (0.85110112875893547946 - 1.9425634447403540617e-434j)  +/-  (3.46e-120, 3.46e-120j)
| (0.33588014917891344369 - 7.9626964846956263719e-439j)  +/-  (9.04e-125, 9.04e-125j)
| (-0.98219129046748981137 - 6.0354787434153380178e-442j)  +/-  (2.26e-119, 2.26e-119j)
| (-0.85110112875893547946 - 1.0587995407022023618e-449j)  +/-  (3.26e-120, 3.26e-120j)
| (0.06865560623462987499 + 1.4702386028548244035e-458j)  +/-  (2.37e-127, 2.37e-127j)
| (0.77427315930962455929 + 1.3946315763378860854e-464j)  +/-  (7.52e-121, 7.52e-121j)
| (0.57735026918962576451 + 1.8639608664182101851e-466j)  +/-  (1.46e-122, 1.46e-122j)
| (-0.2041968861768067152 - 2.5063529781296347103e-467j)  +/-  (5.42e-126, 5.42e-126j)
| (-0.77427315930962455929 - 1.9678156009598510317e-471j)  +/-  (7.9e-121, 7.9e-121j)
| (-0.33588014917891344369 + 1.2538395439825091974e-474j)  +/-  (9e-125, 9e-125j)
| (0.2041968861768067152 + 1.1120127369364126697e-479j)  +/-  (4.95e-126, 4.95e-126j)
| (0.68243146545880530573 + 5.5372094943678302338e-489j)  +/-  (1.26e-121, 1.26e-121j)
| (5.6256958789110466719e-494 - 6.3364795046088791351e-493j)  +/-  (1.59e-491, 1.59e-491j)
| (-0.46107785230345616117 + 1.0764494972351426188e-496j)  +/-  (1.22e-123, 1.22e-123j)
| (-0.57735026918962576451 - 2.8115059967099042781e-497j)  +/-  (1.7e-122, 1.7e-122j)
-------------------------------------------------
The weights are:
| (0.13642233823050069761 - 3.1331050947384889501e-424j)  +/-  (2.82e-37, 1.21e-94j)
| (0.09878219150050554865 + 2.0348820157909919947e-425j)  +/-  (1.72e-37, 7.36e-95j)
| (0.034938528871571273443 + 1.5364155731303259463e-425j)  +/-  (5.76e-38, 2.47e-95j)
| (0.0087018432530236595369 + 8.2626861791055739041e-424j)  +/-  (2.35e-38, 1.01e-95j)
| (0.05189608424393267714 - 3.3082785577446546713e-424j)  +/-  (1.08e-38, 4.64e-96j)
| (0.034938528871571273443 + 5.4499538314269064515e-424j)  +/-  (9.91e-39, 4.25e-96j)
| (0.12112848956049155941 + 9.9788993450818905485e-425j)  +/-  (9.12e-40, 3.91e-97j)
| (0.05189608424393267714 - 3.4586656713239373606e-426j)  +/-  (1.71e-39, 7.35e-97j)
| (0.0087018432530236595369 + 6.4312127896681700506e-426j)  +/-  (3.08e-40, 1.32e-97j)
| (0.020327319904207570902 - 1.2075485408762115789e-423j)  +/-  (5.28e-39, 2.26e-96j)
| (0.068815155246837085974 + 2.6593248827794627816e-424j)  +/-  (4.98e-40, 2.14e-97j)
| (0.12885982804498314285 - 1.0781180092800153366e-424j)  +/-  (7.9e-41, 3.39e-98j)
| (0.020327319904207570902 - 2.3368231625126379038e-425j)  +/-  (2.04e-40, 8.77e-98j)
| (0.068815155246837085974 + 1.2368231751773493522e-425j)  +/-  (3.31e-41, 1.42e-98j)
| (0.13642233823050069761 - 3.6212385370925674585e-424j)  +/-  (1.23e-41, 5.29e-99j)
| (0.084604044881592722722 - 1.6887329411353669583e-424j)  +/-  (3.11e-41, 1.34e-98j)
| (0.11103793915514199388 - 1.0591414100133624665e-424j)  +/-  (1.21e-41, 5.18e-99j)
| (0.13407474275770894674 + 9.3563311201119253309e-425j)  +/-  (8.71e-43, 3.74e-100j)
| (0.084604044881592722722 - 1.6375622247681455288e-425j)  +/-  (1.01e-42, 4.34e-100j)
| (0.12885982804498314285 - 5.147358539156087459e-425j)  +/-  (1.67e-43, 7.15e-101j)
| (0.13407474275770894674 + 1.4480574952538322272e-424j)  +/-  (5.92e-43, 2.54e-100j)
| (0.09878219150050554865 + 1.2606700771001226315e-424j)  +/-  (1.82e-43, 7.81e-101j)
| (0.00082298869900624227548 + 5.2640289600077108349e-424j)  +/-  (1.46e-42, 6.24e-100j)
| (0.12112848956049155941 + 3.4542288730913584201e-425j)  +/-  (1.44e-44, 6.24e-102j)
| (0.11103793915514199388 - 2.5793055568517659787e-425j)  +/-  (1.06e-44, 4.51e-102j)
