Starting with polynomial:
P : 4*t^2 - 1
Extension levels are: 2 3 6 12
-------------------------------------------------
Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : 4*t^5 - 4*t^3 + 3/4*t
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P3 : 4*t^11 - 10*t^9 + 9*t^7 - 7/2*t^5 + 35/64*t^3 - 3/128*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^23 - 22*t^21 + 105/2*t^19 - 285/4*t^17 + 969/16*t^15 - 1071/32*t^13 + 1547/128*t^11 - 715/256*t^9 + 6435/16384*t^7 - 1001/32768*t^5 + 143/131072*t^3 - 3/262144*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: 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:   23 out of 23
Indefinite weights: 0 out of 23
Negative weights:   0 out of 23
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.99144486137381041114 + 5.8684709839580018758e-303j)  +/-  (4.27e-121, 4.27e-121j)
| (-0.38268343236508977173 + 1.3113339829343912631e-308j)  +/-  (1.03e-124, 1.03e-124j)
| (-0.92387953251128675613 + 1.4294295094016157988e-325j)  +/-  (9.92e-121, 9.92e-121j)
| (-0.5 - 4.1666421803192579529e-341j)  +/-  (1.41e-123, 1.41e-123j)
| (0.96592582628906828675 + 2.8373749248840588209e-343j)  +/-  (9.24e-121, 9.24e-121j)
| (0.60876142900872063942 + 7.6241807723221392189e-356j)  +/-  (1.27e-122, 1.27e-122j)
| (-0.99144486137381041114 - 3.279338375631882141e-362j)  +/-  (4.17e-121, 4.17e-121j)
| (-0.86602540378443864676 - 7.2326686600236148293e-381j)  +/-  (5.14e-121, 5.14e-121j)
| (0.5 - 6.099019624934092199e-394j)  +/-  (1.27e-123, 1.27e-123j)
| (-0.96592582628906828675 + 2.6078840596450250107e-397j)  +/-  (1.02e-120, 1.02e-120j)
| (0.86602540378443864676 + 6.9515249352717438815e-407j)  +/-  (6.6e-121, 6.6e-121j)
| (0.38268343236508977173 - 5.3676183626921859011e-410j)  +/-  (1.12e-124, 1.12e-124j)
| (-0.60876142900872063942 - 1.8035980901347514825e-405j)  +/-  (1.07e-122, 1.07e-122j)
| (-0.7071067811865475244 - 8.7758479394970311155e-407j)  +/-  (5.67e-122, 5.67e-122j)
| (1.5194785090642009652e-414 - 2.657376886355745076e-415j)  +/-  (3.55e-413, 3.55e-413j)
| (0.79335334029123516458 - 4.8603512535387016946e-413j)  +/-  (2.26e-121, 2.26e-121j)
| (0.92387953251128675613 + 9.4142467154905101884e-413j)  +/-  (9.24e-121, 9.24e-121j)
| (-0.13052619222005159155 - 2.6093189958447724211e-413j)  +/-  (4.88e-127, 4.88e-127j)
| (-0.79335334029123516458 - 7.0542871252382019222e-415j)  +/-  (1.98e-121, 1.98e-121j)
| (-0.25881904510252076235 - 3.167895254450775492e-422j)  +/-  (1.03e-125, 1.03e-125j)
| (0.25881904510252076235 - 3.2943761361108766965e-424j)  +/-  (1.22e-125, 1.22e-125j)
| (0.7071067811865475244 - 1.2809200840745768904e-424j)  +/-  (6.56e-122, 6.56e-122j)
| (0.13052619222005159155 + 7.0208418603816192435e-424j)  +/-  (4.86e-127, 4.86e-127j)
-------------------------------------------------
The weights are:
| (0.00070987861897774402605 - 3.6364158079851539336e-304j)  +/-  (4.41e-42, 2.09e-100j)
| (0.035564724608053073425 - 1.5188547123485608785e-304j)  +/-  (2.23e-42, 1.06e-100j)
| (0.0061019420586135932416 - 1.869623402454985285e-305j)  +/-  (3.83e-43, 1.82e-101j)
| (0.03125 + 1.2296460478028051407e-304j)  +/-  (1.31e-42, 6.23e-101j)
| (0.0027911374211575281924 + 6.4186236749646805514e-304j)  +/-  (2.21e-43, 1.05e-101j)
| (0.026225396772969182549 - 4.0216752084710711e-304j)  +/-  (6.66e-44, 3.16e-102j)
| (0.00070987861897774402605 - 2.1009400327126018351e-306j)  +/-  (3.71e-44, 1.76e-102j)
| (0.010416666666666666667 + 3.2910583910433901505e-305j)  +/-  (5.33e-44, 2.53e-102j)
| (0.03125 + 3.7316391828651057174e-304j)  +/-  (1.32e-44, 6.27e-103j)
| (0.0027911374211575281924 + 8.3682829754859994799e-306j)  +/-  (6.86e-44, 3.26e-102j)
| (0.010416666666666666667 + 4.8740357786667819518e-304j)  +/-  (7.64e-46, 3.63e-104j)
| (0.035564724608053073425 - 3.4284396731418914211e-304j)  +/-  (3.8e-45, 1.8e-103j)
| (0.026225396772969182549 - 9.6178483431809954672e-305j)  +/-  (9.96e-45, 4.73e-103j)
| (0.020833333333333333333 + 7.1979702848291176317e-305j)  +/-  (5.95e-45, 2.82e-103j)
| (0.041666666666666666667 + 2.4662814674733382522e-304j)  +/-  (2.37e-46, 1.13e-104j)
| (0.015441269893697484118 - 4.5744820234899047627e-304j)  +/-  (1.41e-46, 6.69e-105j)
| (0.0061019420586135932416 - 5.2999173365641742535e-304j)  +/-  (1.52e-46, 7.19e-105j)
| (0.040956788047688922641 - 2.1422240061443451698e-304j)  +/-  (1.02e-46, 4.84e-105j)
| (0.015441269893697484118 - 5.0771859957133552659e-305j)  +/-  (3.32e-46, 1.58e-104j)
| (0.038875529245509138474 + 1.8246929186452167222e-304j)  +/-  (9.19e-47, 4.36e-105j)
| (0.038875529245509138474 + 3.1139952769156290051e-304j)  +/-  (1.24e-47, 5.91e-106j)
| (0.020833333333333333333 + 4.2998018698672033247e-304j)  +/-  (6.65e-48, 3.26e-106j)
| (0.040956788047688922641 - 2.7918179719357102992e-304j)  +/-  (1.21e-47, 5.68e-106j)
