Starting with polynomial:
P : 2*t^2 - 1
Extension levels are: 2 32
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P1 : 2*t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^34 - 17*t^32 + 527/8*t^30 - 2465/16*t^28 + 31059/128*t^26 - 69615/256*t^24 + 228735/1024*t^22 - 279565/2048*t^20 + 2042975/32768*t^18 - 1389223/65536*t^16 + 1389223/262144*t^14 - 499681/524288*t^12 + 499681/4194304*t^10 - 82365/8388608*t^8 + 16473/33554432*t^6 - 867/67108864*t^4 + 289/2147483648*t^2 - 1/4294967296
-------------------------------------------------
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
-------------------------------------------------
The nodes are:
| (-0.99893297480237244441 - 2.6329254669336499374e-445j)  +/-  (1.01e-116, 1.01e-116j)
| (-0.31779141958190162617 - 4.4869115702662862892e-456j)  +/-  (8.87e-124, 8.87e-124j)
| (-0.94816064759096585893 - 1.1935045884221248999e-447j)  +/-  (2.11e-116, 2.11e-116j)
| (0.31779141958190162617 + 4.8208485420091876948e-456j)  +/-  (8.71e-124, 8.71e-124j)
| (0.87362239064636953713 - 3.1358177785322806256e-446j)  +/-  (3.81e-117, 3.81e-117j)
| (0.97343805436069282581 + 9.5850754350571930215e-446j)  +/-  (3.01e-116, 3.01e-116j)
| (0.94816064759096585893 - 4.8328110831160452514e-461j)  +/-  (1.95e-116, 1.95e-116j)
| (-0.91479386848802097 + 3.4832138241850584175e-473j)  +/-  (1.14e-116, 1.14e-116j)
| (-0.97343805436069282581 - 5.6049728879645409934e-473j)  +/-  (3.17e-116, 3.17e-116j)
| (0.99041043087520515835 - 2.3291846075104620299e-477j)  +/-  (2.19e-116, 2.19e-116j)
| (0.91479386848802097 + 7.0537726634217240097e-492j)  +/-  (1.05e-116, 1.05e-116j)
| (0.99893297480237244441 - 1.4627534546738946557e-495j)  +/-  (8.98e-117, 8.98e-117j)
| (-0.56513641442259188898 + 2.057056146767076171e-505j)  +/-  (1.41e-120, 1.41e-120j)
| (-0.99041043087520515835 - 1.9454101220029398923e-503j)  +/-  (2.62e-116, 2.62e-116j)
| (-0.76933397098287890812 - 6.4567928898903831265e-506j)  +/-  (3.39e-118, 3.39e-118j)
| (0.76933397098287890812 + 3.1560050879187821681e-507j)  +/-  (3.91e-118, 3.91e-118j)
| (0.40392100487189496264 + 3.0849646431939040313e-515j)  +/-  (1.03e-122, 1.03e-122j)
| (-0.22895054995013407691 + 5.8659723189401985427e-515j)  +/-  (4.55e-125, 4.55e-125j)
| (-0.7071067811865475244 - 4.3616515938594611684e-507j)  +/-  (8.09e-119, 8.09e-119j)
| (-0.87362239064636953713 + 6.9883011062318321015e-507j)  +/-  (4.9e-117, 4.9e-117j)
| (0.48660447856685628729 - 2.6215024476737260231e-512j)  +/-  (1.51e-121, 1.51e-121j)
| (0.7071067811865475244 + 1.3354010513323295649e-508j)  +/-  (8.38e-119, 8.38e-119j)
| (-0.046183458645739591949 - 3.9564870911931588505e-518j)  +/-  (1.05e-127, 1.05e-127j)
| (-0.82499747459830231554 - 1.5212849141758241668e-509j)  +/-  (1.46e-117, 1.46e-117j)
| (-0.48660447856685628729 - 2.9785735348220037461e-514j)  +/-  (1.44e-121, 1.44e-121j)
| (0.046183458645739591949 - 1.5747137718488685656e-520j)  +/-  (1.05e-127, 1.05e-127j)
| (0.63884680565196131707 - 5.4119810233675180086e-511j)  +/-  (1.14e-119, 1.14e-119j)
| (0.82499747459830231554 + 1.1107948374592594416e-513j)  +/-  (1.4e-117, 1.4e-117j)
| (-0.40392100487189496264 - 1.8819824878523693092e-517j)  +/-  (1.3e-122, 1.3e-122j)
| (-0.63884680565196131707 - 1.256620793715089701e-516j)  +/-  (1.15e-119, 1.15e-119j)
| (-0.13815635495188219823 - 4.292446535153294184e-524j)  +/-  (2.54e-126, 2.54e-126j)
| (0.22895054995013407691 - 1.1753233175184887379e-521j)  +/-  (4.32e-125, 4.32e-125j)
| (0.56513641442259188898 - 3.3785232615155924939e-517j)  +/-  (1.36e-120, 1.36e-120j)
| (0.13815635495188219823 + 4.0492661659139855554e-524j)  +/-  (2.24e-126, 2.24e-126j)
-------------------------------------------------
The weights are:
| (0.029411764705882352941 - 1.813163252177267688e-444j)  +/-  (6.09e-26, 4.73e-81j)
| (0.029411764705882352941 + 2.2269276822471454506e-445j)  +/-  (2.44e-26, 1.89e-81j)
| (0.029411764705882352941 + 1.0469823609997212521e-444j)  +/-  (9.76e-27, 7.58e-82j)
| (0.029411764705882352941 - 9.9619725531963005216e-446j)  +/-  (1.86e-26, 1.44e-81j)
| (0.029411764705882352941 + 1.8186002496249472787e-446j)  +/-  (4.06e-27, 3.16e-82j)
| (0.029411764705882352941 - 2.3784288269042366461e-447j)  +/-  (9.31e-28, 7.23e-83j)
| (0.029411764705882352941 + 1.1937540055923332644e-445j)  +/-  (1.29e-27, 9.98e-83j)
| (0.029411764705882352941 - 8.0055600505235216795e-445j)  +/-  (5.7e-28, 4.42e-83j)
| (0.029411764705882352941 - 1.5050964760755028263e-444j)  +/-  (9.99e-28, 7.76e-83j)
| (0.029411764705882352941 - 1.141104050014613862e-445j)  +/-  (1.5e-28, 1.16e-83j)
| (0.029411764705882352941 - 3.08480946374570223e-446j)  +/-  (8.75e-29, 6.8e-84j)
| (0.029411764705882352941 + 2.6877292342087846245e-446j)  +/-  (5.52e-29, 4.29e-84j)
| (0.029411764705882352941 - 3.1096186990845682328e-445j)  +/-  (5.1e-31, 3.96e-86j)
| (0.029411764705882352941 + 2.7175132018637678567e-444j)  +/-  (1.99e-29, 1.55e-84j)
| (0.029411764705882352941 + 4.6090656627204484361e-445j)  +/-  (3.62e-31, 2.81e-86j)
| (0.029411764705882352941 - 1.0386532354285455761e-446j)  +/-  (3.11e-31, 2.41e-86j)
| (0.029411764705882352941 + 8.5796634273251021715e-446j)  +/-  (3.32e-32, 2.58e-87j)
| (0.029411764705882352941 - 2.0019124748309841546e-445j)  +/-  (3.38e-32, 2.63e-87j)
| (0.029411764705882352941 - 3.9993510013812495058e-445j)  +/-  (1.04e-31, 8.06e-87j)
| (0.029411764705882352941 + 6.4662787388434061828e-445j)  +/-  (2.79e-31, 2.16e-86j)
| (0.029411764705882352941 - 7.2166314030465651412e-446j)  +/-  (6.92e-33, 5.37e-88j)
| (0.029411764705882352941 + 2.8709870449469044355e-446j)  +/-  (8.23e-33, 6.39e-88j)
| (0.029411764705882352941 - 1.6156059824708687423e-445j)  +/-  (7.56e-34, 5.87e-89j)
| (0.029411764705882352941 - 5.397946990972510498e-445j)  +/-  (6.8e-32, 5.28e-87j)
| (0.029411764705882352941 + 2.7712844385752621037e-445j)  +/-  (2.36e-33, 1.83e-88j)
| (0.029411764705882352941 + 1.446029458320363572e-445j)  +/-  (2.46e-34, 1.91e-89j)
| (0.029411764705882352941 - 4.4188076141578402474e-446j)  +/-  (1.97e-34, 1.53e-89j)
| (0.029411764705882352941 - 1.69887691241305691e-446j)  +/-  (8.57e-34, 6.65e-89j)
| (0.029411764705882352941 - 2.4807183277235798957e-445j)  +/-  (2.29e-34, 1.77e-89j)
| (0.029411764705882352941 + 3.5113187247985103222e-445j)  +/-  (3.69e-34, 2.87e-89j)
| (0.029411764705882352941 + 1.7996784050804697162e-445j)  +/-  (4.15e-35, 3.22e-90j)
| (0.029411764705882352941 + 1.138770917624748926e-445j)  +/-  (4.37e-36, 3.4e-91j)
| (0.029411764705882352941 + 5.8435405770378927563e-446j)  +/-  (3.64e-36, 2.88e-91j)
| (0.029411764705882352941 - 1.2879414497544970464e-445j)  +/-  (4.34e-36, 3.35e-91j)
