Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 23
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Trying to find an order 23 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^25 - 721338325718/1301530587*t^23 + 41856212426677/1301530587*t^21 - 126959252505635/123955294*t^19 + 1222626454607580/61977647*t^17 - 59207648854528515/247910588*t^15 + 908327325122081865/495821176*t^13 - 8697231718944763995/991642352*t^11 + 100005149957633466975/3966569408*t^9 - 321693455119105716075/7933138816*t^7 + 511069251856122884925/15866277632*t^5 - 315074770874657969175/31732555264*t^3 + 20692641371377800825/31732555264*t
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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: 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:
| (2.5332275636440817035 - 7.2175453540791724902e-333j)  +/-  (1.83e-122, 1.83e-122j)
| (-5.2638858609738972594 + 2.2062010842323785553e-330j)  +/-  (3.52e-122, 3.52e-122j)
| (-6.0198633211474194634 + 5.4255512484335109066e-335j)  +/-  (7.35e-123, 7.35e-123j)
| (5.2638858609738972594 - 2.0067426732186067455e-340j)  +/-  (3.69e-122, 3.69e-122j)
| (-4.0595019607681395837 - 1.5717074033392356023e-343j)  +/-  (1.01e-121, 1.01e-121j)
| (4.6307808206881562982 - 1.3879482111375931545e-352j)  +/-  (6.78e-122, 6.78e-122j)
| (6.0198633211474194634 + 1.7984027032372971137e-355j)  +/-  (6.16e-123, 6.16e-123j)
| (-2.5332275636440817035 + 6.4395930128939675296e-358j)  +/-  (1.8e-122, 1.8e-122j)
| (-2.0604861457038697417 - 7.8008669314599892041e-366j)  +/-  (4.75e-123, 4.75e-123j)
| (1.1472852338243991611 + 8.8980433949671970872e-374j)  +/-  (1.29e-124, 1.29e-124j)
| (0.7071067811865475244 - 1.7634890351619771039e-374j)  +/-  (1.66e-125, 1.66e-125j)
| (-4.6307808206881562982 + 1.449272041884048518e-372j)  +/-  (7.9e-122, 7.9e-122j)
| (-0.7071067811865475244 - 9.9587505050365257316e-383j)  +/-  (1.22e-125, 1.22e-125j)
| (4.0595019607681395837 + 1.0419130137645623818e-378j)  +/-  (1.05e-121, 1.05e-121j)
| (3.0203884900451263477 + 1.0873437478581607497e-381j)  +/-  (4.4e-122, 4.4e-122j)
| (2.1242812295927827892e-385 + 1.1221909675763993886e-385j)  +/-  (6.01e-384, 6.01e-384j)
| (-3.5267250273560388858 - 3.2725356547094171614e-390j)  +/-  (8.71e-122, 8.71e-122j)
| (3.5267250273560388858 + 1.2087941273773782819e-396j)  +/-  (8.28e-122, 8.28e-122j)
| (-1.1472852338243991611 - 6.8909372245480618612e-398j)  +/-  (1.29e-124, 1.29e-124j)
| (-1.5990253527157358546 + 1.4267226838750824674e-400j)  +/-  (8.8e-124, 8.8e-124j)
| (2.0604861457038697417 - 1.9188680648514038543e-405j)  +/-  (5.39e-123, 5.39e-123j)
| (1.5990253527157358546 + 1.3351964665964042724e-407j)  +/-  (8.93e-124, 8.93e-124j)
| (0.2971770761470746097 - 3.3826964053279438597e-408j)  +/-  (1.53e-126, 1.53e-126j)
| (-3.0203884900451263477 + 1.3121492084842040859e-411j)  +/-  (4.26e-122, 4.26e-122j)
| (-0.2971770761470746097 + 1.0369890201512870432e-415j)  +/-  (1.53e-126, 1.53e-126j)
-------------------------------------------------
The weights are:
| (0.00044163931078622307695 + 9.3157875829015711675e-336j)  +/-  (5.62e-40, 2.25e-100j)
| (3.5400173773226541878e-13 - 1.3279175289377896459e-342j)  +/-  (6.31e-48, 2.52e-108j)
| (8.9496846117801581607e-17 + 8.5196006652116615377e-344j)  +/-  (2.34e-49, 9.36e-110j)
| (3.5400173773226541878e-13 + 1.6027578743700496042e-341j)  +/-  (4.48e-49, 1.79e-109j)
| (2.1594737360478347156e-08 - 1.9073390506344341267e-339j)  +/-  (1.38e-46, 5.51e-107j)
| (1.6373335585027563394e-10 - 5.0951369010988797932e-340j)  +/-  (4.35e-48, 1.74e-108j)
| (8.9496846117801581607e-17 - 1.7471432211550369557e-343j)  +/-  (8.5e-51, 3.4e-111j)
| (0.00044163931078622307695 + 6.0822070814456209634e-337j)  +/-  (2.86e-44, 1.14e-104j)
| (0.0037723889895225182936 - 2.4242774798206105073e-336j)  +/-  (5.62e-43, 2.25e-103j)
| (0.067590343662453664468 - 6.164062242362967787e-335j)  +/-  (4.2e-40, 1.68e-100j)
| (0.1476430230405913664 + 1.0872555425001876485e-334j)  +/-  (4.58e-40, 1.83e-100j)
| (1.6373335585027563394e-10 + 1.1846673995774457876e-340j)  +/-  (1.77e-48, 7.06e-109j)
| (0.1476430230405913664 + 6.0825660347548627993e-335j)  +/-  (3.78e-41, 1.51e-101j)
| (2.1594737360478347156e-08 + 9.1620450737931113003e-339j)  +/-  (3.39e-48, 1.36e-108j)
| (3.0532757581767252872e-05 + 1.4461522718487558133e-336j)  +/-  (7.72e-47, 3.09e-107j)
| (0.13608341163908001191 + 2.4595052005201095911e-334j)  +/-  (5.74e-43, 2.29e-103j)
| (1.1591523338637522127e-06 + 1.8180861000912461168e-338j)  +/-  (3.87e-48, 1.56e-108j)
| (1.1591523338637522127e-06 - 1.1853410181172735421e-337j)  +/-  (1.09e-47, 4.37e-108j)
| (0.067590343662453664468 - 2.2928343085049557241e-335j)  +/-  (3.77e-44, 1.5e-104j)
| (0.019972457937922473507 + 8.0042184176786747786e-336j)  +/-  (4.54e-45, 1.81e-105j)
| (0.0037723889895225182936 - 2.4150771826701322658e-335j)  +/-  (2.02e-46, 8.05e-107j)
| (0.019972457937922473507 + 3.6047296624814935606e-335j)  +/-  (6.84e-46, 2.72e-106j)
| (0.19250672757044330973 - 2.0114195068413031421e-334j)  +/-  (1.95e-44, 7.45e-105j)
| (3.0532757581767252872e-05 - 1.2109844403714482065e-337j)  +/-  (4.6e-48, 1.9e-108j)
| (0.19250672757044330973 - 1.5842287134000331505e-334j)  +/-  (9.88e-45, 3.48e-105j)
