Starting with polynomial:
P : 16*t^4 - 12*t^2 + 1
Extension levels are: 4 20
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P1 : 16*t^4 - 12*t^2 + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 16*t^24 - 92*t^22 + 231*t^20 - 665/2*t^18 + 4845/16*t^16 - 2907/16*t^14 + 4641/64*t^12 - 2431/128*t^10 + 6435/2048*t^8 - 5005/16384*t^6 + 1001/65536*t^4 - 39/131072*t^2 + 1/1048576
-------------------------------------------------
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:   24 out of 24
Indefinite weights: 0 out of 24
Negative weights:   0 out of 24
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.99211470131447783105 + 1.8662606731581885953e-302j)  +/-  (7.91e-121, 7.91e-121j)
| (-0.3090169943749474241 - 7.3872615071715832052e-309j)  +/-  (3.69e-125, 3.69e-125j)
| (-0.87630668004386358731 + 2.2584978822680055528e-336j)  +/-  (1.61e-120, 1.61e-120j)
| (-0.96858316112863111949 + 1.3528903797690557367e-363j)  +/-  (1.78e-120, 1.78e-120j)
| (0.92977648588825140366 + 1.7604105737844447405e-382j)  +/-  (1.94e-120, 1.94e-120j)
| (0.63742398974868971018 + 1.1396610607481467094e-385j)  +/-  (3.43e-122, 3.43e-122j)
| (0.53582679497899661827 + 1.6228329284914635938e-386j)  +/-  (4.5e-123, 4.5e-123j)
| (-0.92977648588825140366 + 3.8997179967302812487e-383j)  +/-  (1.93e-120, 1.93e-120j)
| (-0.99211470131447783105 + 7.9485710702742826955e-394j)  +/-  (8.63e-121, 8.63e-121j)
| (-0.42577929156507264886 + 3.78355958929339427e-406j)  +/-  (4.77e-124, 4.77e-124j)
| (0.87630668004386358731 + 7.3626230111252531686e-403j)  +/-  (1.52e-120, 1.52e-120j)
| (0.96858316112863111949 + 5.1105240828828532635e-403j)  +/-  (1.61e-120, 1.61e-120j)
| (-0.8090169943749474241 - 2.9106977784037819674e-402j)  +/-  (5.38e-121, 5.38e-121j)
| (-0.63742398974868971018 - 9.7664648073706363709e-408j)  +/-  (2.96e-122, 2.96e-122j)
| (0.062790519529313376076 - 4.9929036718706826135e-416j)  +/-  (1.29e-127, 1.29e-127j)
| (0.8090169943749474241 + 9.0167828319303379697e-414j)  +/-  (5.46e-121, 5.46e-121j)
| (0.42577929156507264886 - 5.6848036121888520228e-417j)  +/-  (6.43e-124, 6.43e-124j)
| (-0.062790519529313376076 + 1.3189475884064768662e-415j)  +/-  (1.29e-127, 1.29e-127j)
| (-0.72896862742141152315 + 6.123839844774524708e-412j)  +/-  (1.67e-121, 1.67e-121j)
| (-0.18738131458572463054 + 6.140325570180791137e-421j)  +/-  (1.87e-126, 1.87e-126j)
| (0.3090169943749474241 + 1.812437669927901073e-422j)  +/-  (3.38e-125, 3.38e-125j)
| (0.72896862742141152315 + 3.8804896998221135012e-421j)  +/-  (1.49e-121, 1.49e-121j)
| (0.18738131458572463054 + 3.9407397653271067728e-423j)  +/-  (1.87e-126, 1.87e-126j)
| (-0.53582679497899661827 - 3.4046626119350159741e-419j)  +/-  (4.59e-123, 4.59e-123j)
-------------------------------------------------
The weights are:
| (0.0006283367774273776102 - 1.1109267937625992994e-303j)  +/-  (2.23e-39, 5.93e-98j)
| (0.036180339887498948482 - 5.1894795521844324074e-304j)  +/-  (1.2e-39, 3.18e-98j)
| (0.0092834641004200676346 - 9.2727162870712744548e-305j)  +/-  (4.53e-40, 1.2e-98j)
| (0.0024738663991227282538 - 2.3547096302352849336e-305j)  +/-  (2.94e-40, 7.8e-99j)
| (0.0054206274515717695371 - 1.6228093744820728962e-303j)  +/-  (1.16e-40, 3.07e-99j)
| (0.023747626291714492611 - 1.2495186977943134898e-303j)  +/-  (6.88e-41, 1.83e-99j)
| (0.028515585831301452977 + 1.1663146677157743332e-303j)  +/-  (5.94e-41, 1.58e-99j)
| (0.0054206274515717695371 + 5.2637170649656555863e-305j)  +/-  (2.68e-41, 7.11e-100j)
| (0.0006283367774273776102 + 5.9097948420820121573e-306j)  +/-  (8.42e-42, 2.24e-100j)
| (0.032748479794973794204 + 4.3104002470125615811e-304j)  +/-  (2.99e-42, 7.95e-101j)
| (0.0092834641004200676346 + 1.4960418493669195842e-303j)  +/-  (1.66e-42, 4.42e-101j)
| (0.0024738663991227282538 + 1.9619963540538474854e-303j)  +/-  (2.21e-42, 5.86e-101j)
| (0.013819660112501051518 + 1.4319359028988198206e-304j)  +/-  (1.22e-42, 3.25e-101j)
| (0.023747626291714492611 + 2.7197374462301499603e-304j)  +/-  (2.78e-43, 7.38e-102j)
| (0.039842294026289556621 + 8.0011024670414938359e-304j)  +/-  (2.1e-44, 5.59e-103j)
| (0.013819660112501051518 - 1.4085970975477748587e-303j)  +/-  (1.3e-43, 3.46e-102j)
| (0.032748479794973794204 - 1.0791700031600361554e-303j)  +/-  (2.65e-44, 7.03e-103j)
| (0.039842294026289556621 - 7.0486173637193598395e-304j)  +/-  (1.2e-44, 3.19e-103j)
| (0.018744189609413732478 - 2.0325272220069916397e-304j)  +/-  (1.77e-44, 4.67e-103j)
| (0.038595529717765028073 + 6.1068112800758888335e-304j)  +/-  (9.25e-45, 2.46e-103j)
| (0.036180339887498948482 + 9.8846730604832300668e-304j)  +/-  (1.47e-45, 3.93e-104j)
| (0.018744189609413732478 + 1.329358516018642486e-303j)  +/-  (9.94e-46, 2.67e-104j)
| (0.038595529717765028073 - 8.9507117116239155415e-304j)  +/-  (1.23e-45, 3.27e-104j)
| (0.028515585831301452977 - 3.482945821478046305e-304j)  +/-  (6.35e-46, 1.47e-104j)
