Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 24
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Trying to find an order 24 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 16*t^28 - 2523047472776304/940591458163*t^26 + 902543374997804412/4702957290815*t^24 - 36256400699424758856/4702957290815*t^22 + 129391622233848350937/671851041545*t^20 - 420886151117588786751/134370208309*t^18 + 18151565083369290986589/537480833236*t^16 - 32432593967221283568117/134370208309*t^14 + 2421145352144795671180071/2149923332944*t^12 - 7145941347013290586706799/2149923332944*t^10 + 50642106190589588949311895/8599693331776*t^8 - 24744171978392477008232835/4299846665888*t^6 + 92394431884730763772119135/34398773327104*t^4 - 15497236204866967370925105/34398773327104*t^2 + 1582471480254088007038455/137595093308416
-------------------------------------------------
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:
| (-2.9529135796943096193 - 8.2739109353677656339e-377j)  +/-  (1.46e-121, 1.46e-121j)
| (4.9830985695192604377 - 4.1808112491650493591e-380j)  +/-  (2.68e-121, 2.68e-121j)
| (-4.4266968969903894874 - 6.8707211636773946461e-382j)  +/-  (4.07e-121, 4.07e-121j)
| (2.0684765033414028987 - 7.2482655958273970145e-391j)  +/-  (1.56e-122, 1.56e-122j)
| (6.3422988975854698462 - 1.0029149399723271892e-393j)  +/-  (1.61e-122, 1.61e-122j)
| (-3.9097119908243036685 - 1.5456896742189870582e-391j)  +/-  (4.18e-121, 4.18e-121j)
| (2.9529135796943096193 + 5.3591328255313132227e-393j)  +/-  (1.42e-121, 1.42e-121j)
| (-5.6016414455065393808 + 3.133392359268801677e-396j)  +/-  (1.03e-121, 1.03e-121j)
| (-1.2526026855453074843 - 1.2969259210167039076e-402j)  +/-  (5.58e-124, 5.58e-124j)
| (-0.87849405277987914097 - 3.1856719535816928816e-402j)  +/-  (8.41e-125, 8.41e-125j)
| (2.5027447788235127576 - 1.157024594757632956e-399j)  +/-  (4.95e-122, 4.95e-122j)
| (1.6506801238857845559 + 1.4035707331966919097e-401j)  +/-  (3.7e-123, 3.7e-123j)
| (-0.17559494592080883445 + 6.0829211245276428761e-402j)  +/-  (6.98e-127, 6.98e-127j)
| (-2.5027447788235127576 - 1.1821257288187450683e-405j)  +/-  (5.03e-122, 5.03e-122j)
| (-3.4206428988183375724 + 5.2456628063662034282e-416j)  +/-  (2.61e-121, 2.61e-121j)
| (3.9097119908243036685 - 5.4954267147590995164e-419j)  +/-  (3.8e-121, 3.8e-121j)
| (4.4266968969903894874 - 8.1530673754135697291e-422j)  +/-  (3.99e-121, 3.99e-121j)
| (3.4206428988183375724 - 1.1260438205350736731e-423j)  +/-  (2.66e-121, 2.66e-121j)
| (-0.52464762327529031788 + 6.8008791136719836758e-428j)  +/-  (7.94e-126, 7.94e-126j)
| (-1.6506801238857845559 + 1.07115478520596119e-424j)  +/-  (3.45e-123, 3.45e-123j)
| (-4.9830985695192604377 - 1.1140205192542065564e-428j)  +/-  (2.63e-121, 2.63e-121j)
| (1.2526026855453074843 - 1.1472021427719055458e-435j)  +/-  (5.72e-124, 5.72e-124j)
| (0.17559494592080883445 - 3.7687828619180332342e-437j)  +/-  (8.04e-127, 8.04e-127j)
| (0.52464762327529031788 - 2.182304742901108768e-435j)  +/-  (7.94e-126, 7.94e-126j)
| (-2.0684765033414028987 + 1.319865532278618185e-435j)  +/-  (1.62e-122, 1.62e-122j)
| (-6.3422988975854698462 + 4.306396719950008863e-438j)  +/-  (1.56e-122, 1.56e-122j)
| (0.87849405277987914097 - 5.7471188063144402947e-442j)  +/-  (8.25e-125, 8.25e-125j)
| (5.6016414455065393808 - 2.459326786738717834e-441j)  +/-  (9.65e-122, 9.65e-122j)
-------------------------------------------------
The weights are:
| (4.2252305757776657558e-05 - 1.2581114596579647128e-380j)  +/-  (1.9e-40, 1.43e-100j)
| (5.3995735753569928768e-12 + 5.6884539033378517209e-386j)  +/-  (3.78e-47, 2.84e-107j)
| (9.307368105704368488e-10 - 5.0764175581973814979e-384j)  +/-  (1.17e-45, 8.78e-106j)
| (0.0033343412181444437823 + 1.196508244711776996e-380j)  +/-  (3.79e-38, 2.85e-98j)
| (1.6307195991562326604e-18 + 1.656407806813038313e-389j)  +/-  (2.69e-50, 2.02e-110j)
| (6.505003211901290145e-08 + 8.3360538121192668238e-383j)  +/-  (1.61e-44, 1.21e-104j)
| (4.2252305757776657558e-05 + 5.919446842269118738e-382j)  +/-  (1.71e-42, 1.28e-102j)
| (8.8244782115536891417e-15 - 5.4684041907793752885e-387j)  +/-  (2.52e-49, 1.89e-109j)
| (0.045420722699369556529 - 2.8891023584878368612e-379j)  +/-  (4.57e-36, 3.43e-96j)
| (0.094414098717096007996 + 4.9724118340125832398e-379j)  +/-  (5.07e-36, 3.81e-96j)
| (0.0004749575000346225508 - 2.9351303913046455415e-381j)  +/-  (4.58e-41, 3.44e-101j)
| (0.015117912293947588736 - 4.0881043766473344223e-380j)  +/-  (2.73e-38, 2.05e-98j)
| (0.19177744080736417274 + 7.5218214602178487574e-379j)  +/-  (4.79e-37, 3.6e-97j)
| (0.0004749575000346225508 + 3.5571217390711653806e-380j)  +/-  (5.94e-42, 4.47e-102j)
| (2.2329288805975594865e-06 - 1.2953227783461326126e-381j)  +/-  (5.91e-44, 4.44e-104j)
| (6.505003211901290145e-08 + 1.1622296841371433681e-383j)  +/-  (1.68e-46, 1.26e-106j)
| (9.307368105704368488e-10 - 1.013818360314858008e-384j)  +/-  (7.72e-48, 5.8e-108j)
| (2.2329288805975594865e-06 - 9.5058642662003001014e-383j)  +/-  (2.31e-45, 1.73e-105j)
| (0.14941597554322790418 - 6.8727873071608714177e-379j)  +/-  (5.4e-40, 4.03e-100j)
| (0.015117912293947588736 + 1.4452063717144768401e-379j)  +/-  (8.5e-43, 6.37e-103j)
| (5.3995735753569928768e-12 + 2.2235737371487833025e-385j)  +/-  (4.05e-50, 3.03e-110j)
| (0.045420722699369556529 + 1.1680787608794589759e-379j)  +/-  (1.08e-42, 7.76e-103j)
| (0.19177744080736417274 - 6.6774617544093224157e-379j)  +/-  (5.18e-42, 3.71e-102j)
| (0.14941597554322790418 + 4.7990408178503873946e-379j)  +/-  (1.56e-42, 1.13e-102j)
| (0.0033343412181444437823 - 6.7931684456959656209e-380j)  +/-  (1.41e-44, 1.06e-104j)
| (1.6307195991562326604e-18 + 4.5426265316822229085e-389j)  +/-  (7.18e-54, 5.41e-114j)
| (0.094414098717096007996 - 2.6921883709278776658e-379j)  +/-  (1.9e-43, 1.19e-103j)
| (8.8244782115536891417e-15 - 1.6931585443791926868e-387j)  +/-  (3.5e-52, 2.89e-112j)
