Starting with polynomial:
P : t
Extension levels are: 1 2 10 14
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P3 : t^13 - 124943/42780*t^11 + 576433/179676*t^9 - 310453/189658*t^7 + 10439/27094*t^5 - 97669/2763588*t^3 + 3421/4605980*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^27 - 6014454661153989176140823607177861773681/948587122317463049319117986012804595510*t^25 + 1947138995429499488892496559600587928238805/109783149622874390241199254914548585187024*t^23 - 2045184859177756229297903046469122042065045615/71010605084326187113840057189727795731624176*t^21 + 101636424981055232682941564360236512460136665/3381457384967913672087621770939418844363056*t^19 - 183121863422840642885319695015374073606958912325/8686252136217313820714766093381063975622509168*t^17 + 8876645470721717884252274960212470737303437692355/879099811785993436972926768450712974709325119032*t^15 - 27953031755941175885755516543811890893515189842325/8497964847264603224071625428356892088856809483976*t^13 + 54508167437499788265232141696806893670948234369475/76481683625381429016644628855212028799711285355784*t^11 - 494708867785215981425434709678971914520354841981/5034844376592507866299489673854083400607952954456*t^9 + 5958182066971524276339835902152881127468612003357/746275822041600610404835469435705250712334360138256*t^7 - 59349905617437372548514211668095053166542769413/177684719533714431048770349865644107312460561937680*t^5 + 33334271620179050690240741477463546794007133289/6076817408053033541867945965405028470086151218268656*t^3 - 548520859799896464091641277872978292792453907/34435298645633856737251693803961827997154856903522384*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:
| (0.99696345573553342034 - 5.4176482417031564587e-450j)  +/-  (1.22e-119, 1.22e-119j)
| (-0.69113262396834268581 + 2.6560975782621001897e-458j)  +/-  (4.11e-121, 4.11e-121j)
| (-0.95151371618655174505 + 2.3098513357532687113e-459j)  +/-  (2.33e-119, 2.33e-119j)
| (-0.98189373966174310941 - 4.7466931668818624808e-461j)  +/-  (2.45e-119, 2.45e-119j)
| (0.95151371618655174505 + 6.064316153114575408e-464j)  +/-  (2.39e-119, 2.39e-119j)
| (0.98189373966174310941 - 2.6963418241957740987e-470j)  +/-  (2.87e-119, 2.87e-119j)
| (-0.49455577980099296881 - 2.1668162829079026124e-474j)  +/-  (6.63e-123, 6.63e-123j)
| (-0.90591989788431806766 - 8.9058384895476101499e-476j)  +/-  (1.46e-119, 1.46e-119j)
| (-0.17101852249474448773 + 3.2054248527089108126e-488j)  +/-  (3.45e-126, 3.45e-126j)
| (1.4577704043652018163e-487 + 3.7212747500464479039e-488j)  +/-  (4.06e-486, 4.06e-486j)
| (0.90591989788431806766 + 2.5958740849305901499e-481j)  +/-  (1.39e-119, 1.39e-119j)
| (0.59706738604131558719 + 1.1038057829801907944e-489j)  +/-  (5.69e-122, 5.69e-122j)
| (-0.99696345573553342034 + 1.9023589644014015863e-486j)  +/-  (1.25e-119, 1.25e-119j)
| (-0.84648809715906767396 - 2.2387899606105319406e-498j)  +/-  (5.91e-120, 5.91e-120j)
| (0.84648809715906767396 - 1.8072135495918242342e-503j)  +/-  (6.64e-120, 6.64e-120j)
| (0.49455577980099296881 - 1.0401719727629304484e-510j)  +/-  (6.56e-123, 6.56e-123j)
| (0.060379947809744553847 + 1.8286356267778181784e-512j)  +/-  (2.66e-127, 2.66e-127j)
| (-0.060379947809744553847 - 6.1012165454880321029e-512j)  +/-  (2.66e-127, 2.66e-127j)
| (-0.77459666924148337704 - 2.0420710920589642383e-509j)  +/-  (1.95e-120, 1.95e-120j)
| (-0.38736385932378655649 + 5.10349084995408685e-515j)  +/-  (7.21e-124, 7.21e-124j)
| (0.17101852249474448773 + 2.8568116915255143307e-516j)  +/-  (3.45e-126, 3.45e-126j)
| (0.77459666924148337704 + 5.2781769090521210428e-513j)  +/-  (1.96e-120, 1.96e-120j)
| (0.38736385932378655649 + 4.5332616329661898553e-519j)  +/-  (7.02e-124, 7.02e-124j)
| (-0.27944386352261028131 + 6.0163682687728172104e-520j)  +/-  (7.42e-125, 7.42e-125j)
| (-0.59706738604131558719 + 8.4300228682882630615e-518j)  +/-  (5.56e-122, 5.56e-122j)
| (0.27944386352261028131 - 2.3912913184383488427e-519j)  +/-  (6.59e-125, 6.59e-125j)
| (0.69113262396834268581 - 1.9560207145213313775e-518j)  +/-  (4.25e-121, 4.25e-121j)
-------------------------------------------------
The weights are:
| (0.0081451515452796752758 + 5.8651689369492755694e-450j)  +/-  (1.07e-35, 5.73e-93j)
| (0.088992776520482421508 + 5.8514245945263425755e-451j)  +/-  (5.12e-36, 2.75e-93j)
| (0.038166631512777070359 + 1.1633574360209599878e-451j)  +/-  (2.45e-36, 1.31e-93j)
| (0.022534620195221120238 - 6.7090158708321655672e-452j)  +/-  (1.77e-36, 9.48e-94j)
| (0.038166631512777070359 + 4.9874332790926838419e-450j)  +/-  (3.88e-37, 2.08e-94j)
| (0.022534620195221120238 - 8.8098440705447427198e-450j)  +/-  (7.37e-37, 3.95e-94j)
| (0.10559110326361596333 + 1.4924178089807243942e-450j)  +/-  (1.09e-37, 5.83e-95j)
| (0.052772657557176076725 - 1.7892905839538630854e-451j)  +/-  (6.51e-38, 3.49e-95j)
| (0.10969379791758904343 - 9.9819428947184883299e-450j)  +/-  (2.74e-38, 1.47e-95j)
| (0.013412995511030615892 - 5.0283349364321552904e-449j)  +/-  (1.24e-38, 6.66e-96j)
| (0.052772657557176076725 - 3.7397607959473042617e-450j)  +/-  (4.23e-39, 2.27e-96j)
| (0.098787181411405144403 - 3.5970215934585424911e-450j)  +/-  (4.16e-40, 2.23e-97j)
| (0.0081451515452796752758 + 2.213098394199214786e-452j)  +/-  (3.71e-39, 1.99e-96j)
| (0.065850899397924372299 + 2.6695034104578070012e-451j)  +/-  (2.99e-39, 1.6e-96j)
| (0.065850899397924372299 + 3.270369554815332636e-450j)  +/-  (3.11e-40, 1.67e-97j)
| (0.10559110326361596333 + 4.4306047368375595693e-450j)  +/-  (1.59e-40, 8.52e-98j)
| (0.10916849679268589647 + 3.4905693863370616585e-449j)  +/-  (4.26e-40, 2.28e-97j)
| (0.10916849679268589647 + 3.091909131181961696e-449j)  +/-  (5.1e-40, 2.74e-97j)
| (0.077795325879718425057 - 3.9397332907943209924e-451j)  +/-  (9.93e-41, 5.33e-98j)
| (0.10804954205321291253 - 2.6630540684840705538e-450j)  +/-  (3.22e-41, 1.73e-98j)
| (0.10969379791758904343 - 1.4115625509764300541e-449j)  +/-  (2.11e-41, 1.13e-98j)
| (0.077795325879718425057 - 3.1387217672157937054e-450j)  +/-  (6.26e-43, 3.32e-100j)
| (0.10804954205321291253 - 6.047475214951939741e-450j)  +/-  (1.71e-42, 9.19e-100j)
| (0.10774531819739657044 + 4.9760488089204132861e-450j)  +/-  (5.62e-42, 3e-99j)
| (0.098787181411405144403 - 9.0238834770890944867e-451j)  +/-  (1.44e-42, 7.71e-100j)
| (0.10774531819739657044 + 8.8519744274865026009e-450j)  +/-  (1.74e-42, 9.42e-100j)
| (0.088992776520482421508 + 3.2298139169835562118e-450j)  +/-  (1.84e-43, 9.42e-101j)
