Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 10 14
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Trying to find an order 10 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 5/2*t^13 - 124943/17112*t^11 + 2882165/359352*t^9 - 1552265/379316*t^7 + 52195/54188*t^5 - 488345/5527176*t^3 + 3421/1842392*t
Solvable: 1
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Ending with final polynomial:
P : 5/2*t^27 - 6014454661153989176140823607177861773681/379434848926985219727647194405121838204*t^25 + 9735694977147497444462482798002939641194025/219566299245748780482398509829097170374048*t^23 - 10225924295888781146489515232345610210325228075/142021210168652374227680114379455591463248352*t^21 + 508182124905276163414707821801182562300683325/6762914769935827344175243541878837688726112*t^19 - 915609317114203214426598475076870368034794561625/17372504272434627641429532186762127951245018336*t^17 + 44383227353608589421261374801062353686517188461775/1758199623571986873945853536901425949418650238064*t^15 - 139765158779705879428777582719059454467575949211625/16995929694529206448143250856713784177713618967952*t^13 + 272540837187498941326160708484034468354741171847375/152963367250762858033289257710424057599422570711568*t^11 - 2473544338926079907127173548394859572601774209905/10069688753185015732598979347708166801215905908912*t^9 + 29790910334857621381699179510764405637343060016785/1492551644083201220809670938871410501424668720276512*t^7 - 59349905617437372548514211668095053166542769413/71073887813485772419508139946257642924984224775072*t^5 + 166671358100895253451203707387317733970035666445/12153634816106067083735891930810056940172302436537312*t^3 - 2742604298999482320458206389364891463962269535/68870597291267713474503387607923655994309713807044768*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:
| (0.99696345573553342034 + 5.5726366430886167814e-450j)  +/-  (1.24e-119, 1.24e-119j)
| (-0.69113262396834268581 + 4.7819594344968371015e-457j)  +/-  (3.85e-121, 3.85e-121j)
| (-0.95151371618655174505 - 1.4983451770247710049e-457j)  +/-  (2.84e-119, 2.84e-119j)
| (-0.98189373966174310941 + 4.1708601904671274063e-463j)  +/-  (3.19e-119, 3.19e-119j)
| (0.95151371618655174505 + 9.9244743453259657024e-464j)  +/-  (2.94e-119, 2.94e-119j)
| (0.98189373966174310941 + 3.6196524747833172333e-469j)  +/-  (2.67e-119, 2.67e-119j)
| (-0.49455577980099296881 - 2.2048719743000180627e-474j)  +/-  (7.94e-123, 7.94e-123j)
| (-0.90591989788431806766 - 7.5500214922628070703e-475j)  +/-  (1.64e-119, 1.64e-119j)
| (-0.17101852249474448773 + 1.2210278495435129837e-486j)  +/-  (3.56e-126, 3.56e-126j)
| (1.9692495437275837947e-486 + 5.0269421713976182498e-487j)  +/-  (5.49e-485, 5.49e-485j)
| (0.90591989788431806766 - 1.588585775631667054e-482j)  +/-  (1.61e-119, 1.61e-119j)
| (0.59706738604131558719 + 4.37279839723942737e-489j)  +/-  (6.36e-122, 6.36e-122j)
| (-0.99696345573553342034 + 2.1065623119708059249e-485j)  +/-  (1.27e-119, 1.27e-119j)
| (-0.84648809715906767396 - 2.7972255944842436433e-498j)  +/-  (6.91e-120, 6.91e-120j)
| (0.84648809715906767396 + 1.4859514346934901679e-503j)  +/-  (6.7e-120, 6.7e-120j)
| (0.49455577980099296881 + 9.2343126894193824704e-511j)  +/-  (8.23e-123, 8.23e-123j)
| (0.060379947809744553847 - 5.6619983138106799084e-512j)  +/-  (2.51e-127, 2.51e-127j)
| (-0.060379947809744553847 + 1.8774251597155326747e-511j)  +/-  (2.51e-127, 2.51e-127j)
| (-0.77459666924148337704 - 2.6118452980285181852e-510j)  +/-  (1.96e-120, 1.96e-120j)
| (-0.38736385932378655649 + 2.4678322544629399306e-515j)  +/-  (6.94e-124, 6.94e-124j)
| (0.17101852249474448773 - 6.718613868737246212e-516j)  +/-  (3.59e-126, 3.59e-126j)
| (0.77459666924148337704 - 5.1974362573506962418e-513j)  +/-  (1.96e-120, 1.96e-120j)
| (0.38736385932378655649 - 1.424592096592723223e-518j)  +/-  (7.17e-124, 7.17e-124j)
| (-0.27944386352261028131 + 1.2756858977739898566e-520j)  +/-  (5.71e-125, 5.71e-125j)
| (-0.59706738604131558719 + 2.9310185005548323219e-518j)  +/-  (6.71e-122, 6.71e-122j)
| (0.27944386352261028131 + 9.0078209389770213e-520j)  +/-  (5.73e-125, 5.73e-125j)
| (0.69113262396834268581 + 7.2046592442940575492e-519j)  +/-  (4e-121, 4e-121j)
-------------------------------------------------
The weights are:
| (0.0081451515452796752758 - 6.0329600362294444659e-450j)  +/-  (1.07e-35, 6.22e-93j)
| (0.088992776520482421508 - 6.0188219437649733806e-451j)  +/-  (5.12e-36, 2.98e-93j)
| (0.038166631512777070359 - 1.1966395885957479968e-451j)  +/-  (2.45e-36, 1.42e-93j)
| (0.022534620195221120238 + 6.9009390216438324673e-452j)  +/-  (1.77e-36, 1.03e-93j)
| (0.038166631512777070359 - 5.1301140620495564161e-450j)  +/-  (3.88e-37, 2.26e-94j)
| (0.022534620195221120238 + 9.0618766089607962895e-450j)  +/-  (7.37e-37, 4.29e-94j)
| (0.10559110326361596333 - 1.5351125911279387893e-450j)  +/-  (1.09e-37, 6.32e-95j)
| (0.052772657557176076725 + 1.8404812905208358758e-451j)  +/-  (6.51e-38, 3.79e-95j)
| (0.10969379791758904343 + 1.0267506257397085099e-449j)  +/-  (2.74e-38, 1.59e-95j)
| (0.013412995511030615892 + 5.1721856401667476866e-449j)  +/-  (1.24e-38, 7.23e-96j)
| (0.052772657557176076725 + 3.8467480888675644077e-450j)  +/-  (4.23e-39, 2.46e-96j)
| (0.098787181411405144403 + 3.6999253721892026291e-450j)  +/-  (4.16e-40, 2.42e-97j)
| (0.0081451515452796752758 - 2.2764090929348793054e-452j)  +/-  (3.71e-39, 2.16e-96j)
| (0.065850899397924372299 - 2.7458753276690120296e-451j)  +/-  (2.99e-39, 1.74e-96j)
| (0.065850899397924372299 - 3.363928472718869357e-450j)  +/-  (3.11e-40, 1.81e-97j)
| (0.10559110326361596333 - 4.5573556919498270814e-450j)  +/-  (1.59e-40, 9.25e-98j)
| (0.10916849679268589647 - 3.5904276838942303869e-449j)  +/-  (4.26e-40, 2.48e-97j)
| (0.10916849679268589647 - 3.180362505511528361e-449j)  +/-  (5.1e-40, 2.97e-97j)
| (0.077795325879718425057 + 4.052446201554502229e-451j)  +/-  (9.93e-41, 5.78e-98j)
| (0.10804954205321291253 + 2.7392384862820174982e-450j)  +/-  (3.22e-41, 1.87e-98j)
| (0.10969379791758904343 + 1.4519445801273548222e-449j)  +/-  (2.11e-41, 1.23e-98j)
| (0.077795325879718425057 + 3.2285144935557701568e-450j)  +/-  (6.26e-43, 3.6e-100j)
| (0.10804954205321291253 + 6.2204816563080334615e-450j)  +/-  (1.71e-42, 9.97e-100j)
| (0.10774531819739657044 - 5.1184034395311015277e-450j)  +/-  (5.62e-42, 3.26e-99j)
| (0.098787181411405144403 + 9.2820333121628481864e-451j)  +/-  (1.44e-42, 8.37e-100j)
| (0.10774531819739657044 - 9.1052120655821988709e-450j)  +/-  (1.74e-42, 1.02e-99j)
| (0.088992776520482421508 - 3.3222126069629054628e-450j)  +/-  (1.84e-43, 1.02e-100j)
