Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 26
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Trying to find an order 26 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 231/16*t^32 - 40282378835340260521/356010697845090320*t^30 + 133671797996842684354371/332870002485159449200*t^28 - 57222910444361905503983009/67040018500511113068880*t^26 + 75275093150691937022327717/62164380791383032118416*t^24 - 1929751232511219421616844883/1595552440312164491039344*t^22 + 851496233727507111766255597/973908632398334169855184*t^20 - 1068092093388282144753921259/2306625708311844086499120*t^18 + 23318576745724893974338699/129653471186155942116944*t^16 - 1889343739816072844720216489/37210546230426755387562928*t^14 + 3974416441115350565203921/388960413558467826350832*t^12 - 7542527702868684349227547/5315792318632393626794704*t^10 + 889035388481773976976994877/6883951052628949746699141680*t^8 - 46062255938384169159181975/6490582421050152618316333584*t^6 + 250855044726127919747/1227185180761987638176656*t^4 - 456728925691008484691/196684315789398564191404048*t^2 + 52501273120762806985/12026667427239988675115559288
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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:
| (-0.9971295485351545914 + 1.2275042488772229881e-417j)  +/-  (1.48e-117, 1.48e-117j)
| (-0.98493691668092819029 - 3.4737415599880663737e-418j)  +/-  (3.5e-117, 3.5e-117j)
| (-0.89314612676349282253 - 1.408543716674616562e-419j)  +/-  (2.04e-117, 2.04e-117j)
| (0.9971295485351545914 + 6.029959256436620225e-417j)  +/-  (1.3e-117, 1.3e-117j)
| (0.89314612676349282253 - 3.9176152610456496189e-417j)  +/-  (1.95e-117, 1.95e-117j)
| (0.93246951420315202781 + 1.1035299406237640091e-418j)  +/-  (3.64e-117, 3.64e-117j)
| (0.33117273779446565649 - 1.3910949357924497386e-424j)  +/-  (1.37e-123, 1.37e-123j)
| (-0.93246951420315202781 - 4.1186262336625966578e-424j)  +/-  (3.7e-117, 3.7e-117j)
| (-0.9632485524416433451 - 7.1410269902472047307e-425j)  +/-  (4.2e-117, 4.2e-117j)
| (0.9632485524416433451 - 2.7751129515766811337e-423j)  +/-  (4.55e-117, 4.55e-117j)
| (0.84588153088157081342 - 4.2865177957794636978e-428j)  +/-  (8.27e-118, 8.27e-118j)
| (0.98493691668092819029 + 3.8285771129768834357e-431j)  +/-  (3.68e-117, 3.68e-117j)
| (-0.84588153088157081342 + 2.0620783827871050641e-430j)  +/-  (8.55e-118, 8.55e-118j)
| (-0.79121908484217515023 - 1.5215776839559802769e-437j)  +/-  (2.95e-118, 2.95e-118j)
| (-0.048119499898564599446 + 2.197684555229664613e-442j)  +/-  (2.83e-127, 2.83e-127j)
| (0.79121908484217515023 - 1.4584998520850171221e-444j)  +/-  (2.78e-118, 2.78e-118j)
| (0.66120938646626451366 - 2.2113932011523699441e-447j)  +/-  (1.33e-119, 1.33e-119j)
| (-0.33117273779446565649 - 2.1712074637349304232e-450j)  +/-  (1.31e-123, 1.31e-123j)
| (-0.72956014393365222689 + 6.9025709821314704455e-450j)  +/-  (6.88e-119, 6.88e-119j)
| (-0.42066029459329947441 + 7.2139545071555436633e-451j)  +/-  (1.73e-122, 1.73e-122j)
| (0.50609023850332886755 - 1.2394090036436064563e-451j)  +/-  (2.08e-121, 2.08e-121j)
| (0.72956014393365222689 - 3.0339213835557752025e-457j)  +/-  (7.62e-119, 7.62e-119j)
| (0.048119499898564599446 + 1.4997290501905567851e-463j)  +/-  (2.06e-127, 2.06e-127j)
| (-0.50609023850332886755 + 1.2271254605648453913e-468j)  +/-  (2.09e-121, 2.09e-121j)
| (-0.58653247100938284311 - 2.727975965266910217e-469j)  +/-  (1.76e-120, 1.76e-120j)
| (0.1439699144724845836 - 2.4768482204095806358e-470j)  +/-  (4.15e-126, 4.15e-126j)
| (0.58653247100938284311 + 5.0937944480970400775e-473j)  +/-  (1.81e-120, 1.81e-120j)
| (0.42066029459329947441 + 2.1643552076406148283e-477j)  +/-  (1.75e-122, 1.75e-122j)
| (-0.1439699144724845836 - 6.7664703744122270229e-480j)  +/-  (3.68e-126, 3.68e-126j)
| (-0.66120938646626451366 - 9.8698717171025037244e-483j)  +/-  (1.4e-119, 1.4e-119j)
| (-0.23861918608319690863 - 1.6907839903452345986e-488j)  +/-  (8.79e-125, 8.79e-125j)
| (0.23861918608319690863 - 7.158327863413273738e-493j)  +/-  (8.05e-125, 8.05e-125j)
-------------------------------------------------
The weights are:
| (0.0073595102031482957113 + 1.4743388038821352587e-417j)  +/-  (1.17e-24, 4.64e-80j)
| (0.016993143276707532282 - 2.9154557402512014879e-417j)  +/-  (8.72e-25, 3.46e-80j)
| (0.043393599490569685106 + 2.1773751730803024981e-417j)  +/-  (1.52e-25, 6.02e-81j)
| (0.0073595102031482957113 - 7.9258981335771566738e-417j)  +/-  (9.18e-27, 3.64e-82j)
| (0.043393599490569685106 - 6.5139219336185548354e-417j)  +/-  (1.2e-26, 4.76e-82j)
| (0.035150537003522273713 + 1.117280399713107169e-416j)  +/-  (1.07e-26, 4.25e-82j)
| (0.091186474439993750368 - 3.425809087820967783e-417j)  +/-  (2.08e-27, 8.24e-83j)
| (0.035150537003522273713 - 2.2729993089510124447e-417j)  +/-  (4.19e-26, 1.66e-81j)
| (0.026315122588650324119 + 2.6117689128818255346e-417j)  +/-  (6.68e-26, 2.65e-81j)
| (0.026315122588650324119 - 1.0589249059635578015e-416j)  +/-  (1.55e-27, 6.15e-83j)
| (0.051043363751505659616 + 2.261391971704882456e-417j)  +/-  (1.83e-28, 7.27e-84j)
| (0.016993143276707532282 + 1.3406988407694838147e-416j)  +/-  (1.11e-27, 4.38e-83j)
| (0.051043363751505659616 - 2.1735011876153044566e-417j)  +/-  (5.11e-29, 2.02e-84j)
| (0.05821541085441416493 + 2.2210058718367001252e-417j)  +/-  (9.25e-30, 3.67e-85j)
| (0.096174893353399125095 - 2.8458878746841950753e-417j)  +/-  (4.1e-32, 1.62e-87j)
| (0.05821541085441416493 - 3.9175609463573460096e-417j)  +/-  (1.78e-30, 7.06e-86j)
| (0.071588303903787905578 - 4.2132381624856237927e-417j)  +/-  (8.16e-32, 3.23e-87j)
| (0.091186474439993750368 + 2.4822008534090543582e-417j)  +/-  (1.04e-32, 4.11e-88j)
| (0.065054745555508067824 - 2.262529921662987007e-417j)  +/-  (9.8e-32, 3.88e-87j)
| (0.087621947417101826583 - 2.4020643163839035612e-417j)  +/-  (7.55e-33, 2.99e-88j)
| (0.083081335349938665239 - 3.8226677752779671841e-417j)  +/-  (2.92e-33, 1.16e-88j)
| (0.065054745555508067824 + 4.2458834267947268718e-417j)  +/-  (4.8e-32, 1.9e-87j)
| (0.096174893353399125095 + 2.9825506349431989796e-417j)  +/-  (4.03e-34, 1.6e-89j)
| (0.083081335349938665239 + 2.3483845579011391686e-417j)  +/-  (1.34e-33, 5.31e-89j)
| (0.077672294571052830603 - 2.3155295452991981286e-417j)  +/-  (9.83e-34, 3.89e-89j)
| (0.095391361526417113566 - 3.1203684602833653881e-417j)  +/-  (1.44e-34, 5.69e-90j)
| (0.077672294571052830603 + 4.0395052763483216299e-417j)  +/-  (4.18e-34, 1.66e-89j)
| (0.087621947417101826583 + 3.6118549779762813329e-417j)  +/-  (1.37e-34, 5.46e-90j)
| (0.095391361526417113566 + 2.7118527656033819101e-417j)  +/-  (1.42e-35, 5.65e-91j)
| (0.071588303903787905578 + 2.2915757409851820098e-417j)  +/-  (1.3e-35, 5.16e-91j)
| (0.093757956714282779666 - 2.5876366261821043885e-417j)  +/-  (9.68e-36, 3.88e-91j)
| (0.093757956714282779666 + 3.2648367079134242612e-417j)  +/-  (8.65e-36, 3.29e-91j)
