Starting with polynomial:
P : 16*t^4 - 12*t^2 + 1
Extension levels are: 4 5 10
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Trying to find an order 5 Kronrod extension for:
P1 : 16*t^4 - 12*t^2 + 1
Solvable: 1
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P2 : 16*t^9 - 32*t^7 + 21*t^5 - 5*t^3 + 5/16*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 16*t^19 - 72*t^17 + 136*t^15 - 140*t^13 + 1365/16*t^11 - 1001/32*t^9 + 429/64*t^7 - 99/128*t^5 + 165/4096*t^3 - 5/8192*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
-------------------------------------------------
The nodes are:
| (-0.15643446504023086901 + 1.7941761774325363168e-378j)  +/-  (4.2e-127, 4.2e-127j)
| (-0.95105651629515357212 - 4.3898626046221318528e-374j)  +/-  (2.62e-122, 2.62e-122j)
| (-0.3090169943749474241 - 1.0096422424222794299e-377j)  +/-  (7.25e-126, 7.25e-126j)
| (0.58778525229247312917 + 4.3123271177927981246e-374j)  +/-  (8.65e-124, 8.65e-124j)
| (0.7071067811865475244 - 3.2491157097791225777e-378j)  +/-  (4.02e-123, 4.02e-123j)
| (-0.98768834059513772619 - 4.2277324930650003054e-384j)  +/-  (1.15e-122, 1.15e-122j)
| (-0.89100652418836786236 - 5.0212416078470746891e-384j)  +/-  (2.63e-122, 2.63e-122j)
| (-0.45399049973954679156 - 6.887244745417054541e-387j)  +/-  (8.64e-125, 8.64e-125j)
| (0.3090169943749474241 - 4.1734995182105555858e-385j)  +/-  (8.08e-126, 8.08e-126j)
| (-0.58778525229247312917 - 3.6534998950513744238e-388j)  +/-  (9.77e-124, 9.77e-124j)
| (-0.8090169943749474241 + 1.3587931693196022724e-386j)  +/-  (1.64e-122, 1.64e-122j)
| (2.8375844190846062613e-387 - 4.1277287170925905083e-387j)  +/-  (9.52e-386, 9.52e-386j)
| (0.8090169943749474241 + 1.2607873794476550218e-392j)  +/-  (1.41e-122, 1.41e-122j)
| (0.45399049973954679156 - 6.7971418752080265039e-403j)  +/-  (9.31e-125, 9.31e-125j)
| (0.15643446504023086901 - 2.8316713510264478193e-412j)  +/-  (4.63e-127, 4.63e-127j)
| (-0.7071067811865475244 + 2.3896531781536975771e-422j)  +/-  (3.96e-123, 3.96e-123j)
| (0.95105651629515357212 + 3.5016320218082396239e-444j)  +/-  (3.19e-122, 3.19e-122j)
| (0.89100652418836786236 - 6.085898415786809913e-480j)  +/-  (3.49e-122, 3.49e-122j)
| (0.98768834059513772619 + 7.5171048099174095338e-492j)  +/-  (1.02e-122, 1.02e-122j)
-------------------------------------------------
The weights are:
| (0.048776412907378839303 + 5.5243823600993341795e-375j)  +/-  (5.87e-44, 8.48e-104j)
| (0.0047745751406263143974 - 3.2649779447016929319e-375j)  +/-  (9.05e-45, 1.31e-104j)
| (0.045225424859373685603 - 5.2667685784066027557e-375j)  +/-  (3.86e-44, 5.57e-104j)
| (0.032725424859373685603 - 2.8359401919370372439e-375j)  +/-  (1.64e-45, 2.37e-105j)
| (0.025 - 8.3727697533663141952e-375j)  +/-  (6.18e-46, 8.92e-106j)
| (0.0012235870926211606971 - 1.4328418986590579404e-375j)  +/-  (1.64e-45, 2.36e-105j)
| (0.010305368692688171771 + 7.8339152017569297269e-375j)  +/-  (2.21e-45, 3.18e-105j)
| (0.039694631307311828229 + 5.145877646755575359e-375j)  +/-  (3.1e-45, 4.48e-105j)
| (0.045225424859373685603 - 8.5728720920236892947e-375j)  +/-  (2.83e-46, 4.09e-106j)
| (0.032725424859373685603 - 5.1538462530837975238e-375j)  +/-  (8.15e-46, 1.18e-105j)
| (0.017274575140626314397 - 5.8718231156396394903e-375j)  +/-  (4.41e-46, 6.36e-106j)
| (0.05 - 5.9786087392462748111e-375j)  +/-  (2.56e-46, 3.7e-106j)
| (0.017274575140626314397 + 2.9367323544569959977e-375j)  +/-  (7.04e-49, 1.02e-108j)
| (0.039694631307311828229 + 1.4035294141616197276e-374j)  +/-  (1.82e-47, 2.63e-107j)
| (0.048776412907378839303 + 6.8113266477141097238e-375j)  +/-  (4.45e-47, 6.42e-107j)
| (0.025 + 5.3306437244674974477e-375j)  +/-  (3.41e-47, 4.91e-107j)
| (0.0047745751406263143974 + 4.5660691722234810493e-376j)  +/-  (8.64e-51, 1.25e-110j)
| (0.010305368692688171771 - 1.2200884880524023724e-375j)  +/-  (1.9e-50, 2.78e-110j)
| (0.0012235870926211606971 - 1.0424193897247925577e-376j)  +/-  (2.19e-51, 3.13e-111j)
