Starting with polynomial:
P : t^4 - 6*t^2 + 3
Extension levels are: 4 24
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Trying to find an order 24 Kronrod extension for:
P1 : t^4 - 6*t^2 + 3
Solvable: 1
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Ending with final polynomial:
P : t^28 - 315380934097038/940591458163*t^26 + 225635843749451103/4702957290815*t^24 - 18128200349712379428/4702957290815*t^22 + 129391622233848350937/671851041545*t^20 - 841772302235177573502/134370208309*t^18 + 18151565083369290986589/134370208309*t^16 - 259460751737770268544936/134370208309*t^14 + 2421145352144795671180071/134370208309*t^12 - 14291882694026581173413598/134370208309*t^10 + 50642106190589588949311895/134370208309*t^8 - 98976687913569908032931340/134370208309*t^6 + 92394431884730763772119135/134370208309*t^4 - 30994472409733934741850210/134370208309*t^2 + 1582471480254088007038455/134370208309
-------------------------------------------------
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
Positive weights:   28 out of 28
Indefinite weights: 0 out of 28
Negative weights:   0 out of 28
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (5.5291677223964439932 + 1.7533479881176268797e-394j)  +/-  (5.49e-121, 5.49e-121j)
| (-5.5291677223964439932 + 7.1878839421182580323e-403j)  +/-  (5.31e-121, 5.31e-121j)
| (-8.9693651175893008274 + 9.7568687036730696726e-406j)  +/-  (2.3e-122, 2.3e-122j)
| (7.9219173037865766406 + 3.1593851141936158634e-402j)  +/-  (1.41e-121, 1.41e-121j)
| (8.9693651175893008274 - 3.3410841762472389273e-411j)  +/-  (2.28e-122, 2.28e-122j)
| (-7.9219173037865766406 - 1.2928489139044209911e-419j)  +/-  (1.39e-121, 1.39e-121j)
| (4.8375195795441116984 - 2.4780865370629581419e-418j)  +/-  (3.87e-121, 3.87e-121j)
| (-4.1760504329193779139 - 3.0296140918752185434e-426j)  +/-  (2.01e-121, 2.01e-121j)
| (-6.2602947882387044916 + 9.5474324880942492313e-429j)  +/-  (5.18e-121, 5.18e-121j)
| (6.2602947882387044916 + 1.0804400215890280612e-428j)  +/-  (6.08e-121, 6.08e-121j)
| (1.7714477061631350698 - 3.5606785180361792388e-440j)  +/-  (7.75e-124, 7.75e-124j)
| (4.1760504329193779139 + 5.9601862883348143595e-437j)  +/-  (1.96e-121, 1.96e-121j)
| (-1.7714477061631350698 - 4.6470925218553155089e-446j)  +/-  (8.01e-124, 8.01e-124j)
| (-4.8375195795441116984 - 7.8506157844949380343e-444j)  +/-  (3.94e-121, 3.94e-121j)
| (-3.5394156093706638316 + 1.3307165113392568466e-444j)  +/-  (7.95e-122, 7.95e-122j)
| (1.2423782039054106634 + 7.6687837833791594205e-448j)  +/-  (1.21e-124, 1.21e-124j)
| (7.0471655796561073352 + 4.5538149304789829626e-444j)  +/-  (3.5e-121, 3.5e-121j)
| (-7.0471655796561073352 - 2.5404289632056944538e-449j)  +/-  (3.9e-121, 3.9e-121j)
| (-1.2423782039054106634 + 4.0040840333418702285e-453j)  +/-  (1.12e-124, 1.12e-124j)
| (-0.24832875400537803661 + 7.2542482894367325142e-455j)  +/-  (1.04e-126, 1.04e-126j)
| (2.3344142183389772393 + 1.366192776116440239e-449j)  +/-  (4.5e-123, 4.5e-123j)
| (0.74196378430272585765 - 2.1264627069725186524e-453j)  +/-  (1.12e-125, 1.12e-125j)
| (-2.9252675244754886375 - 1.0333425454216439577e-450j)  +/-  (2.17e-122, 2.17e-122j)
| (-2.3344142183389772393 + 2.0321605244714918678e-450j)  +/-  (5.04e-123, 5.04e-123j)
| (-0.74196378430272585765 - 4.5939947188276998711e-454j)  +/-  (1.24e-125, 1.24e-125j)
| (3.5394156093706638316 - 1.7135600301227320519e-451j)  +/-  (7.66e-122, 7.66e-122j)
| (0.24832875400537803661 - 1.4438894188587362786e-463j)  +/-  (1.04e-126, 1.04e-126j)
| (2.9252675244754886375 - 1.4058084180931010284e-460j)  +/-  (2.31e-122, 2.31e-122j)
-------------------------------------------------
The weights are:
| (6.505003211901290145e-08 - 3.5556834964335114614e-401j)  +/-  (4.84e-41, 1.14e-101j)
| (6.505003211901290145e-08 + 1.0313971721176885008e-402j)  +/-  (1.69e-41, 3.96e-102j)
| (1.6307195991562326604e-18 + 1.5185838211298417339e-408j)  +/-  (3.07e-47, 7.22e-108j)
| (8.8244782115536891417e-15 - 8.6563650306905469905e-406j)  +/-  (4.39e-46, 1.03e-106j)
| (1.6307195991562326604e-18 + 6.399992567271946422e-408j)  +/-  (1.2e-47, 2.83e-108j)
| (8.8244782115536891417e-15 - 1.5398395964302099524e-406j)  +/-  (1.55e-46, 3.66e-107j)
| (2.2329288805975594865e-06 + 1.2526279607058496684e-400j)  +/-  (1.05e-41, 2.47e-102j)
| (4.2252305757776657558e-05 + 5.1509898178020466039e-401j)  +/-  (3.06e-41, 7.19e-102j)
| (9.307368105704368488e-10 - 9.0746823491571221024e-404j)  +/-  (2.42e-44, 5.7e-105j)
| (9.307368105704368488e-10 - 1.4632974129466226809e-402j)  +/-  (1.88e-44, 4.42e-105j)
| (0.045420722699369556529 - 1.8693969713767282602e-398j)  +/-  (2.21e-36, 5.2e-97j)
| (4.2252305757776657558e-05 - 3.6945414004599805058e-400j)  +/-  (1.38e-41, 3.24e-102j)
| (0.045420722699369556529 + 9.6220250573141294224e-399j)  +/-  (1.9e-37, 4.46e-98j)
| (2.2329288805975594865e-06 - 8.3573260238671323511e-402j)  +/-  (4e-43, 9.42e-104j)
| (0.0004749575000346225508 - 2.5250466275487022269e-400j)  +/-  (9.24e-42, 2.17e-102j)
| (0.094414098717096007996 + 3.4408535945812582429e-398j)  +/-  (2.61e-37, 6.13e-98j)
| (5.3995735753569928768e-12 + 4.2525643533435685161e-404j)  +/-  (9.67e-47, 2.27e-107j)
| (5.3995735753569928768e-12 + 5.1329614164266433719e-405j)  +/-  (1.21e-46, 2.85e-107j)
| (0.094414098717096007996 - 2.178264068746771943e-398j)  +/-  (1.02e-38, 2.39e-99j)
| (0.19177744080736417274 - 5.1706325252054651279e-398j)  +/-  (2.4e-38, 5.63e-99j)
| (0.015117912293947588736 + 8.4239554561485048114e-399j)  +/-  (1.76e-41, 4.12e-102j)
| (0.14941597554322790418 - 4.9851918903486441969e-398j)  +/-  (7.6e-39, 1.79e-99j)
| (0.0033343412181444437823 + 1.0162239810809513518e-399j)  +/-  (5.62e-42, 1.32e-102j)
| (0.015117912293947588736 - 3.4224176260959688453e-399j)  +/-  (2.33e-41, 5.5e-102j)
| (0.14941597554322790418 + 3.8055541137345057509e-398j)  +/-  (3.01e-40, 7.08e-101j)
| (0.0004749575000346225508 + 1.150826537711845027e-399j)  +/-  (4.73e-44, 1.11e-104j)
| (0.19177744080736417274 + 5.6569252256913537578e-398j)  +/-  (1.5e-41, 4.82e-102j)
| (0.0033343412181444437823 - 3.2995119197528219501e-399j)  +/-  (2.05e-43, 4.75e-104j)
