Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 20
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Trying to find an order 20 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Ending with final polynomial:
P : 16*t^24 - 673109229408/363937411*t^22 + 32020783562037/363937411*t^20 - 818664521682555/363937411*t^18 + 2902354334703135/85632332*t^16 - 6654160856955555/21408083*t^14 + 296858052476011845/171264664*t^12 - 979371031782448305/171264664*t^10 + 7231298316318101025/685058656*t^8 - 3409934485088456325/342529328*t^6 + 23115246943434671025/5480469248*t^4 - 3840059178024144075/5480469248*t^2 + 36936160291505475/1289522176
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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
-------------------------------------------------
The nodes are:
| (-5.707833454046663469 - 4.8016040476787521842e-391j)  +/-  (3.03e-123, 3.03e-123j)
| (3.1627509410816429441 - 1.7064217142980582212e-391j)  +/-  (2.36e-122, 2.36e-122j)
| (-4.2924820738617624693 + 8.3363273080252482114e-399j)  +/-  (3.28e-122, 3.28e-122j)
| (-2.6425917838576033471 - 7.8509749183705472599e-399j)  +/-  (1.15e-122, 1.15e-122j)
| (2.1403943705691442545 + 3.6678164841323843554e-406j)  +/-  (3.18e-123, 3.18e-123j)
| (-4.938248709985372108 - 1.8757434054446251263e-418j)  +/-  (1.46e-122, 1.46e-122j)
| (4.2924820738617624693 + 2.0412714362141122761e-418j)  +/-  (3.08e-122, 3.08e-122j)
| (2.6425917838576033471 + 2.9331597529089308106e-425j)  +/-  (1.15e-122, 1.15e-122j)
| (5.707833454046663469 + 4.496683712408396779e-431j)  +/-  (2.9e-123, 2.9e-123j)
| (-3.1627509410816429441 - 6.8896557464970757666e-431j)  +/-  (2.25e-122, 2.25e-122j)
| (-3.7085724312899210492 + 3.8912091949920030022e-430j)  +/-  (3.63e-122, 3.63e-122j)
| (-0.24334372136750871943 - 2.2181164088728713895e-434j)  +/-  (1.17e-126, 1.17e-126j)
| (-1.6506801238857845559 - 3.09342173791983893e-432j)  +/-  (8.2e-124, 8.2e-124j)
| (-0.67689778104542160634 - 1.9401296056769370012e-433j)  +/-  (3.35e-125, 3.35e-125j)
| (3.7085724312899210492 + 6.9619708354393160657e-431j)  +/-  (3.88e-122, 3.88e-122j)
| (0.67689778104542160634 + 1.3466992035599809336e-436j)  +/-  (3.19e-125, 3.19e-125j)
| (0.52464762327529031788 - 2.5140892952865565846e-437j)  +/-  (1.87e-125, 1.87e-125j)
| (-0.52464762327529031788 + 1.7345345068838681627e-439j)  +/-  (1.77e-125, 1.77e-125j)
| (-1.1685013689830617434 + 8.5069947943689438049e-438j)  +/-  (1.33e-124, 1.33e-124j)
| (1.6506801238857845559 - 4.7598418777594856834e-436j)  +/-  (7.68e-124, 7.68e-124j)
| (4.938248709985372108 + 9.4559596256619718332e-443j)  +/-  (1.48e-122, 1.48e-122j)
| (1.1685013689830617434 - 6.0491758789283579296e-446j)  +/-  (1.29e-124, 1.29e-124j)
| (0.24334372136750871943 - 2.0937478960960183655e-452j)  +/-  (1.17e-126, 1.17e-126j)
| (-2.1403943705691442545 + 4.6367167489055764301e-456j)  +/-  (3.11e-123, 3.11e-123j)
-------------------------------------------------
The weights are:
| (3.5350881715179982843e-15 - 1.2798329518426424664e-402j)  +/-  (1.95e-54, 1.71e-114j)
| (1.3571450378508717398e-05 + 8.8292290372698129807e-396j)  +/-  (1.48e-49, 1.3e-109j)
| (3.4213460692440502258e-09 - 2.6465256455481237521e-399j)  +/-  (5.11e-52, 4.48e-112j)
| (0.00026687358899148301964 + 2.5651283316039068135e-396j)  +/-  (2.73e-48, 2.4e-108j)
| (0.0028611048233905567846 + 7.4230565486146360376e-395j)  +/-  (3.23e-47, 2.84e-107j)
| (9.9999979126614099208e-12 + 9.9209936866432748871e-401j)  +/-  (2.65e-53, 2.32e-113j)
| (3.4213460692440502258e-09 - 1.745058254771204784e-398j)  +/-  (7.18e-54, 6.3e-114j)
| (0.00026687358899148301964 - 2.8620818253093279471e-395j)  +/-  (1.84e-49, 1.61e-109j)
| (3.5350881715179982843e-15 - 4.4246978445395354398e-402j)  +/-  (4.48e-57, 3.92e-117j)
| (1.3571450378508717398e-05 - 3.6625287535445462405e-397j)  +/-  (1.44e-51, 1.26e-111j)
| (3.3747250076880230343e-07 + 3.838654201684548711e-398j)  +/-  (1.58e-52, 1.38e-112j)
| (0.26483704757407903823 + 4.633580498354195164e-393j)  +/-  (1.77e-46, 1.59e-106j)
| (0.017941977125724029889 + 6.9331759248746099182e-395j)  +/-  (3.13e-49, 2.75e-109j)
| (0.19640972122288612251 + 3.882680999184660701e-393j)  +/-  (1.02e-46, 9.17e-107j)
| (3.3747250076880230343e-07 + 4.8299168232511450734e-397j)  +/-  (1.34e-53, 1.19e-113j)
| (0.19640972122288612251 - 5.9968520772365639691e-393j)  +/-  (1.8e-47, 1.62e-107j)
| (-0.051552662835438145738 + 9.1301064630580454475e-393j)  +/-  (2.13e-47, 1.9e-107j)
| (-0.051552662835438145738 - 6.5323036301430058239e-393j)  +/-  (3.31e-47, 2.92e-107j)
| (0.069222026146138035544 - 3.3903293285562987159e-394j)  +/-  (1.21e-48, 1.06e-108j)
| (0.017941977125724029889 - 2.2067387316720639796e-394j)  +/-  (2.9e-50, 2.62e-110j)
| (9.9999979126614099208e-12 + 4.5193296657506213429e-400j)  +/-  (2.19e-56, 1.95e-116j)
| (0.069222026146138035544 + 7.3626226166176936819e-394j)  +/-  (1.22e-49, 1.12e-109j)
| (0.26483704757407903823 - 5.4059258465071461775e-393j)  +/-  (1.02e-48, 1.09e-108j)
| (0.0028611048233905567846 - 1.4313299878958230835e-395j)  +/-  (2.73e-51, 1.9e-111j)
