Starting with polynomial:
P : t
Extension levels are: 1 2 6 24
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P3 : t^9 - 117/4*t^7 + 945/4*t^5 - 2205/4*t^3 + 945/4*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^33 - 243940980213971515758845067/583136734238195996993980*t^31 + 844469415554230186722150320049/11079597950525723942885620*t^29 - 17705815728557592063144436202015/2215919590105144788577124*t^27 + 1189008071840040006487669224341067/2215919590105144788577124*t^25 - 53908760043517619773098799116865065/2215919590105144788577124*t^23 + 1695359351418048547472692485385337745/2215919590105144788577124*t^21 - 1969695233123462608562267653961195265/116627346847639199398796*t^19 + 30549610765405777317742318843333941525/116627346847639199398796*t^17 - 330047594045449206952618024237711122525/116627346847639199398796*t^15 + 2437149593165955203817741483210756509325/116627346847639199398796*t^13 - 150824720942474203427448644807005422225/1476295529716951891124*t^11 + 36705782824710953131545638183054577510075/116627346847639199398796*t^9 - 66134234760488153521460100553663502114625/116627346847639199398796*t^7 + 62533314255554403852176814422191394021625/116627346847639199398796*t^5 - 338726470968762138828695951585549911125/1476295529716951891124*t^3 + 3983890012170935838727227099340744906875/116627346847639199398796*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
-------------------------------------------------
The nodes are:
| (4.8080745003320122 + 1.4424635037310674451e-445j)  +/-  (3.21e-120, 3.21e-120j)
| (-7.6313130805389139259 + 4.1877392686780911368e-456j)  +/-  (1.84e-120, 1.84e-120j)
| (-6.8575059688675411896 - 5.7054844203608079956e-457j)  +/-  (3.7e-120, 3.7e-120j)
| (6.1385532186958391626 - 6.1495762269019808344e-456j)  +/-  (4.54e-120, 4.54e-120j)
| (9.522684677503835164 + 3.9146192074023407695e-462j)  +/-  (9.11e-122, 9.11e-122j)
| (-9.522684677503835164 - 5.6087614790855038915e-463j)  +/-  (8.44e-122, 8.44e-122j)
| (-3.229130917866149279 + 6.4374880403764983645e-463j)  +/-  (6.93e-121, 6.93e-121j)
| (7.6313130805389139259 + 6.4689487245923891739e-461j)  +/-  (2.03e-120, 2.03e-120j)
| (8.4917865876250708814 - 1.2683411306048220511e-464j)  +/-  (5.82e-121, 5.82e-121j)
| (-6.1385532186958391626 - 4.1051850273953775109e-467j)  +/-  (4.12e-120, 4.12e-120j)
| (-5.4583576082743443651 + 1.9326785402900863116e-468j)  +/-  (4.2e-120, 4.2e-120j)
| (6.8575059688675411896 - 1.0407345947505804186e-469j)  +/-  (3.72e-120, 3.72e-120j)
| (-2.3082392864556769437 + 4.811231978590409386e-477j)  +/-  (1.71e-122, 1.71e-122j)
| (-8.4917865876250708814 - 4.1480426529452100275e-477j)  +/-  (6.02e-121, 6.02e-121j)
| (-4.8080745003320122 - 1.1976734559048056855e-474j)  +/-  (3.12e-120, 3.12e-120j)
| (1.7320508075688772935 - 1.5802110089134773604e-478j)  +/-  (1.7e-123, 1.7e-123j)
| (2.3082392864556769437 - 1.0174151470895619441e-474j)  +/-  (1.91e-122, 1.91e-122j)
| (-2.8612795760570581173 - 7.7305739821198468305e-478j)  +/-  (1.94e-121, 1.94e-121j)
| (-3.6074237000681686929 + 2.5304461366368219392e-477j)  +/-  (1.19e-120, 1.19e-120j)
| (-1.7320508075688772935 + 6.1835713220656958398e-481j)  +/-  (1.63e-123, 1.63e-123j)
| (5.4583576082743443651 + 1.9999452806576686483e-475j)  +/-  (4.12e-120, 4.12e-120j)
| (-4.1849560176727318607 + 2.2428514488459799573e-481j)  +/-  (1.76e-120, 1.76e-120j)
| (1.1566041704981437309 + 1.21185837638572981e-484j)  +/-  (1.9e-124, 1.9e-124j)
| (4.1849560176727318607 + 1.1543061815801326473e-481j)  +/-  (1.77e-120, 1.77e-120j)
| (-1.1566041704981437309 - 8.2004416545703394352e-492j)  +/-  (1.81e-124, 1.81e-124j)
| (-0.74109534999454084186 - 5.6271215053352165743e-493j)  +/-  (5.47e-125, 5.47e-125j)
| (0.56714751598971916008 + 2.7293721671966724514e-492j)  +/-  (1.28e-125, 1.28e-125j)
| (3.229130917866149279 - 7.2264693127479760693e-490j)  +/-  (7.03e-121, 7.03e-121j)
| (3.6074237000681686929 + 1.2664083156371398591e-499j)  +/-  (1.14e-120, 1.14e-120j)
| (-0.56714751598971916008 + 1.2885269803360985538e-509j)  +/-  (1.33e-125, 1.33e-125j)
| (-3.8136442832180925319e-521 + 1.6631216590901855584e-520j)  +/-  (5.63e-519, 5.63e-519j)
| (2.8612795760570581173 - 1.3181564475603503209e-508j)  +/-  (1.8e-121, 1.8e-121j)
| (0.74109534999454084186 - 4.3818757532973635527e-515j)  +/-  (5.59e-125, 5.59e-125j)
-------------------------------------------------
The weights are:
| (2.4270274772263662169e-06 - 1.2513028861928006001e-450j)  +/-  (6.34e-28, 4.74e-87j)
| (7.2983652151488292773e-14 - 5.1196640332772252736e-457j)  +/-  (1.11e-34, 8.31e-94j)
| (1.8212784531693702599e-11 + 1.3972145988299237774e-455j)  +/-  (3e-33, 2.25e-92j)
| (1.8282111744438432832e-09 + 2.0601585573750812124e-453j)  +/-  (1.78e-32, 1.33e-91j)
| (9.6328852629194814307e-21 + 1.8729710184670712575e-460j)  +/-  (4.3e-39, 3.22e-98j)
| (9.6328852629194814307e-21 - 6.1618007222486257189e-461j)  +/-  (2.7e-39, 2.02e-98j)
| (0.00055959871862171982658 + 1.3713863201392441108e-449j)  +/-  (8.87e-27, 6.64e-86j)
| (7.2983652151488292773e-14 + 2.2557599502964544607e-456j)  +/-  (2.6e-36, 1.95e-95j)
| (8.0818780273066137585e-17 - 3.5966129481887097877e-458j)  +/-  (1.18e-37, 8.81e-97j)
| (1.8282111744438432832e-09 - 2.5039648623538408824e-454j)  +/-  (1.86e-34, 1.39e-93j)
| (8.9868125102298588126e-08 + 3.3366439143630203757e-453j)  +/-  (1.02e-33, 7.63e-93j)
| (1.8212784531693702599e-11 - 7.9530931312229158151e-455j)  +/-  (2.91e-36, 2.18e-95j)
| (0.015922133470813627733 + 4.6184564654296602133e-449j)  +/-  (1.55e-27, 1.16e-86j)
| (8.0818780273066137585e-17 + 9.9616729099571224052e-459j)  +/-  (5.16e-39, 3.86e-98j)
| (2.4270274772263662169e-06 - 3.6406450838017756562e-452j)  +/-  (3.5e-33, 2.62e-92j)
| (0.05137633310559006877 - 2.6024483600482064351e-448j)  +/-  (4.18e-28, 3.13e-87j)
| (0.015922133470813627733 + 1.3147420772460449628e-448j)  +/-  (2.8e-30, 2.09e-89j)
| (0.003382766688808438224 - 2.4967077929041562651e-449j)  +/-  (3.17e-30, 2.38e-89j)
| (0.00031245253349582997552 - 3.6437330743472932296e-450j)  +/-  (7.4e-32, 5.54e-91j)
| (0.05137633310559006877 - 1.2240121462237018937e-448j)  +/-  (3.2e-29, 2.4e-88j)
| (8.9868125102298588126e-08 - 5.2677714981830684962e-452j)  +/-  (2.04e-37, 1.53e-96j)
| (3.8148953455181020989e-05 + 3.6124080158017386455e-451j)  +/-  (3.36e-33, 2.51e-92j)
| (0.11685871750904501846 + 8.3259742900259291623e-448j)  +/-  (6.25e-30, 4.68e-89j)
| (3.8148953455181020989e-05 + 5.2135342529131735481e-450j)  +/-  (2.12e-36, 1.59e-95j)
| (0.11685871750904501846 + 5.0970135634725701255e-448j)  +/-  (4.32e-31, 3.22e-90j)
| (0.012631234625508724693 - 2.1727931545479262165e-447j)  +/-  (3.72e-31, 2.78e-90j)
| (0.18483268648043250238 + 2.9126436803869546061e-447j)  +/-  (2.19e-31, 1.63e-90j)
| (0.00055959871862171982658 + 6.9806886611294481815e-449j)  +/-  (1.11e-35, 8.26e-95j)
| (0.00031245253349582997552 - 2.5539340100574270452e-449j)  +/-  (3.52e-36, 2.67e-95j)
| (0.18483268648043250238 + 2.2980091133756305284e-447j)  +/-  (1.34e-32, 1.09e-91j)
| (0.22816681834425907359 - 1.1457669690543173596e-447j)  +/-  (2.95e-33, 2.37e-92j)
| (0.003382766688808438224 - 9.8357232445615085191e-449j)  +/-  (1.31e-35, 9.21e-95j)
| (0.012631234625508724693 - 2.9646570140926061107e-447j)  +/-  (1.97e-33, 1.68e-92j)
