Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3 4 14
-------------------------------------------------
Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P2 : 4*t^5 - 14*t^3 + 6*t
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P3 : 4*t^9 - 142/3*t^7 + 1399/9*t^5 - 2965/18*t^3 + 295/6*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^23 - 169625390220735424001363/463875841537913130667*t^21 + 62890330448819181324966253/4638758415379131306670*t^19 - 133315719513259180037270755649/500985908860946181120360*t^17 + 3039062481038901597402449119997/1001971817721892362240720*t^15 - 2774845170323086267554658180579/133596242362918981632096*t^13 + 2082238692711273394162593945307/24290225884167087569472*t^11 - 10149207587812731381384163286473/48580451768334175138944*t^9 + 3096125185255355834767730775959/10795655948518705586432*t^7 - 4374253038620181155772559235737/21591311897037411172864*t^5 + 2660648657524539749820890878195/43182623794074822345728*t^3 - 230060587953399507869373472755/43182623794074822345728*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: 1
  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
Positive weights:   23 out of 23
Indefinite weights: 0 out of 23
Negative weights:   0 out of 23
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-0.3715503139480182122 - 6.0609398532990580447e-474j)  +/-  (1.79e-126, 1.79e-126j)
| (-5.2611178476355058261 + 5.5573865935806086775e-471j)  +/-  (1.51e-123, 1.51e-123j)
| (5.2611178476355058261 - 4.5130446783632554031e-469j)  +/-  (1.49e-123, 1.49e-123j)
| (-3.229224849478194579 - 1.4338721520645242378e-473j)  +/-  (1.38e-122, 1.38e-122j)
| (3.820530055075257911 + 9.8755586131088737596e-476j)  +/-  (1.16e-122, 1.16e-122j)
| (-3.820530055075257911 + 2.3784132392912073849e-480j)  +/-  (1.19e-122, 1.19e-122j)
| (4.4772634665616992273 - 1.5923560977949643768e-478j)  +/-  (6.44e-123, 6.44e-123j)
| (-1.4013506128796493159 - 1.4464463494270995266e-480j)  +/-  (1.01e-123, 1.01e-123j)
| (-2.6040425071328358983e-487 - 1.7775857732088238874e-486j)  +/-  (4.13e-485, 4.13e-485j)
| (3.229224849478194579 - 9.7670160807043142727e-484j)  +/-  (1.39e-122, 1.39e-122j)
| (0.7071067811865475244 - 6.0861534014842084831e-487j)  +/-  (2.58e-125, 2.58e-125j)
| (2.1754754587537880162 + 5.1477597052201234747e-486j)  +/-  (5.55e-123, 5.55e-123j)
| (-1.0672470719421885588 - 1.3384677944481033937e-488j)  +/-  (2.19e-124, 2.19e-124j)
| (-1.7320508075688772935 + 1.006787212655158648e-494j)  +/-  (2.22e-123, 2.22e-123j)
| (-4.4772634665616992273 + 1.0637820326083058195e-499j)  +/-  (6.95e-123, 6.95e-123j)
| (1.0672470719421885588 - 1.2039939910609765006e-500j)  +/-  (2.23e-124, 2.23e-124j)
| (2.6822224032999497583 + 2.7361334962995688275e-501j)  +/-  (9.77e-123, 9.77e-123j)
| (0.3715503139480182122 - 1.0682789083430347297e-505j)  +/-  (1.79e-126, 1.79e-126j)
| (-0.7071067811865475244 - 5.7730664271272570699e-505j)  +/-  (2.41e-125, 2.41e-125j)
| (-2.1754754587537880162 - 6.2537342266171010619e-515j)  +/-  (4.94e-123, 4.94e-123j)
| (1.7320508075688772935 + 5.4089324112115284993e-520j)  +/-  (2.58e-123, 2.58e-123j)
| (1.4013506128796493159 - 1.3997745176027402454e-526j)  +/-  (1.07e-123, 1.07e-123j)
| (-2.6822224032999497583 - 1.9207949464726536477e-532j)  +/-  (9.39e-123, 9.39e-123j)
-------------------------------------------------
The weights are:
| (0.17115820687499899647 + 1.6490607150865923565e-473j)  +/-  (2.06e-46, 6.68e-107j)
| (4.8362999549695387722e-13 + 3.56511704135209874e-482j)  +/-  (1.19e-55, 3.89e-116j)
| (4.8362999549695387722e-13 + 1.3210082944318485379e-480j)  +/-  (4.87e-56, 1.59e-116j)
| (9.4706031417975898467e-06 - 1.6212708984589757738e-477j)  +/-  (9.74e-52, 3.18e-112j)
| (1.5985879964095153047e-07 + 3.3692165865539785209e-478j)  +/-  (1.47e-53, 4.8e-114j)
| (1.5985879964095153047e-07 + 4.4850590078424029529e-479j)  +/-  (1.56e-53, 5.09e-114j)
| (7.8125013634067375063e-10 - 2.2009055176020296235e-479j)  +/-  (6.95e-55, 2.27e-115j)
| (0.023771995025648590178 - 3.325531450408630369e-474j)  +/-  (1.78e-47, 5.8e-108j)
| (0.21725639464866904891 - 1.5425853507402071749e-473j)  +/-  (1.47e-46, 4.76e-107j)
| (9.4706031417975898467e-06 - 3.8380672057808879256e-477j)  +/-  (7.7e-53, 2.52e-113j)
| (0.11661121479013565043 - 1.4897460166838907612e-473j)  +/-  (2.08e-47, 6.71e-108j)
| (0.0023981864907877101639 - 2.5951381412125698563e-475j)  +/-  (4.5e-51, 1.46e-111j)
| (0.066240836488010283172 + 7.5060608732073857244e-474j)  +/-  (1.26e-47, 4.06e-108j)
| (0.010958230703302519533 + 9.4326337255804448252e-475j)  +/-  (8.31e-50, 2.69e-110j)
| (7.8125013634067375063e-10 - 1.8484861893534857179e-480j)  +/-  (3.9e-56, 1.27e-116j)
| (0.066240836488010283172 + 9.5525550913327062236e-474j)  +/-  (3.74e-49, 1.22e-109j)
| (0.00022350105910652071314 + 3.4217813620120384655e-476j)  +/-  (1.6e-52, 5.28e-113j)
| (0.17115820687499899647 + 1.7485180194847221397e-473j)  +/-  (6.33e-48, 2.02e-108j)
| (0.11661121479013565043 - 1.4655790811287299162e-473j)  +/-  (1.32e-48, 4.24e-109j)
| (0.0023981864907877101639 - 1.2916594486060672939e-475j)  +/-  (6.25e-52, 2.03e-112j)
| (0.010958230703302519533 + 1.6021407225401342839e-474j)  +/-  (1.96e-51, 6.78e-112j)
| (0.023771995025648590178 - 4.930372142756499803e-474j)  +/-  (7.83e-51, 2.72e-111j)
| (0.00022350105910652071314 + 1.4762685441142918874e-476j)  +/-  (1.66e-53, 4.71e-114j)
