Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 13 16
-------------------------------------------------
Trying to find an order 13 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 3/2*t^15 - 9527/1738*t^13 + 347711/43450*t^11 - 323869/54510*t^9 + 42861/18170*t^7 - 165711/345230*t^5 + 252343/5868910*t^3 - 32643/29344550*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^31 - 141391306262561311286950316776687011061921/12070357394985361671465001778565391179542*t^29 + 1736825412824773909199578547798456969193641/42017066881278157717125006191208640181950*t^27 - 289212473843083602412306804611634153144877679/3319348283620974459652875489105482574374050*t^25 + 3768586091612495304355613356120007462620910942653/30846438051827025975597399690218121125052096726*t^23 - 33668649524736075023137315178030679597447362659019/280300241427471670821732892837199448484169052858*t^21 + 49835493640547136114062942900061639017241377614117013/586107804824843263688243478922584046780397489526078*t^19 - 406719229048144691472933946200141776067563048615482979/9285181539593569598429541429247252530573665491965762*t^17 + 6183482186049902577486407636797424428008638077355634527/376940374879715422598138391576577082909963663309392686*t^15 - 260282375743498464186030259214968383156913973820635155/58977065457370440270457027253478046985912682014394774*t^13 + 26446525423838885176945499405566356545064751341124597/31756881400122544761015322367257409915491444161597186*t^11 - 8258095562280693337782198105979245176400292834412573/77948708891209882595219427628722733428933544760284002*t^9 + 39288180909167129403542988393674605274865090114563/4606897688605785023358122200279121361048081841624350*t^7 - 1947391835037406771130959133277109626395323604933723/4980056401382853610250130098501730191292976470795922350*t^5 + 176037276900766718278259848231829292694248567908287/20916236885807985163050546413707266803430501177342873870*t^3 - 53044455882306252086420206333004502184765158145/981255557605806711352988597186266837691801289801270626*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:
| (-0.99808544391440321578 + 9.6714866030844700223e-426j)  +/-  (1.6e-117, 1.6e-117j)
| (-0.9884484796115023493 + 1.5882403000089989279e-426j)  +/-  (4.44e-117, 4.44e-117j)
| (-0.90051530874974837494 - 1.583141602425973092e-426j)  +/-  (1.39e-117, 1.39e-117j)
| (0.99808544391440321578 - 2.3403569447591255523e-424j)  +/-  (1.91e-117, 1.91e-117j)
| (0.85251573770951683235 - 5.392284853026115251e-435j)  +/-  (6.45e-118, 6.45e-118j)
| (0.93941947667002316119 - 2.9503862167560427017e-441j)  +/-  (2.57e-117, 2.57e-117j)
| (0.9884484796115023493 - 1.5927960575534878498e-450j)  +/-  (4.3e-117, 4.3e-117j)
| (-0.93941947667002316119 + 1.510520347116105839e-466j)  +/-  (3.06e-117, 3.06e-117j)
| (-0.96890084592798631102 - 2.0682621075050097547e-469j)  +/-  (4.39e-117, 4.39e-117j)
| (0.96890084592798631102 + 1.0678246340739168646e-466j)  +/-  (4.69e-117, 4.69e-117j)
| (0.90051530874974837494 + 1.4096042712911900171e-477j)  +/-  (1.5e-117, 1.5e-117j)
| (0.79565285487871109219 - 1.4511815632922928032e-483j)  +/-  (1.79e-118, 1.79e-118j)
| (-0.85251573770951683235 + 1.035608967650378106e-484j)  +/-  (6.22e-118, 6.22e-118j)
| (-0.79565285487871109219 - 3.3412795246235797305e-488j)  +/-  (1.78e-118, 1.78e-118j)
| (1.4086719336683478231e-496 + 5.6248725388957967032e-497j)  +/-  (4.7e-495, 4.7e-495j)
| (0.73037509973747927166 + 8.8398960405328800064e-488j)  +/-  (3.53e-119, 3.53e-119j)
| (0.49109905224498746172 - 1.6709746951603651968e-491j)  +/-  (8.26e-122, 8.26e-122j)
| (-0.30350015995361851413 + 1.3581748097213787638e-494j)  +/-  (3.64e-124, 3.64e-124j)
| (-0.73037509973747927166 + 1.5305671363925622391e-489j)  +/-  (3.66e-119, 3.66e-119j)
| (-0.39948019139974547251 + 6.0959692565110073246e-495j)  +/-  (6.17e-123, 6.17e-123j)
| (0.39948019139974547251 + 7.9367532843167975743e-494j)  +/-  (5.46e-123, 5.46e-123j)
| (0.65736173306465116426 + 7.118380652735332812e-491j)  +/-  (6.16e-120, 6.16e-120j)
| (0.10268414879126604241 - 3.3850524037082953636e-498j)  +/-  (8.13e-127, 8.13e-127j)
| (-0.49109905224498746172 - 1.9243989735401754392e-493j)  +/-  (8.25e-122, 8.25e-122j)
| (-0.57735026918962576451 + 1.4443551133775413145e-492j)  +/-  (7.8e-121, 7.8e-121j)
| (0.2042156837128657121 - 1.060649138174355424e-497j)  +/-  (1.93e-125, 1.93e-125j)
| (0.57735026918962576451 + 1.7523883724627980542e-493j)  +/-  (8.02e-121, 8.02e-121j)
| (0.30350015995361851413 + 5.3058940765489904824e-497j)  +/-  (4.39e-124, 4.39e-124j)
| (-0.10268414879126604241 - 1.2371504568435508391e-498j)  +/-  (8.13e-127, 8.13e-127j)
| (-0.65736173306465116426 - 4.0344993177584283197e-495j)  +/-  (5.87e-120, 5.87e-120j)
| (-0.2042156837128657121 + 2.8039345424188563201e-501j)  +/-  (2.11e-125, 2.11e-125j)
-------------------------------------------------
The weights are:
| (0.0051620378094066694068 + 1.1709168743470075436e-425j)  +/-  (3.74e-24, 2.53e-79j)
| (0.014469547323258975643 - 1.6620558854801219982e-425j)  +/-  (2.89e-24, 1.95e-79j)
| (0.043486488421328455333 + 7.7691931555731463038e-426j)  +/-  (6.87e-25, 4.64e-80j)
| (0.0051620378094066694068 + 2.4648138091269153982e-424j)  +/-  (4.68e-26, 3.16e-81j)
| (0.052480863663346590026 - 7.1070134234564633699e-425j)  +/-  (2.05e-26, 1.39e-81j)
| (0.03427015339502909953 - 1.2553315659716939616e-424j)  +/-  (2.18e-26, 1.47e-81j)
| (0.014469547323258975643 - 3.6286442807476381899e-424j)  +/-  (3.1e-26, 2.09e-81j)
| (0.03427015339502909953 - 9.4441133588807617033e-426j)  +/-  (1.23e-26, 8.29e-82j)
| (0.02459656992485704404 + 9.4006665747838940928e-426j)  +/-  (2.27e-26, 1.53e-81j)
| (0.02459656992485704404 + 1.8953293476613958579e-424j)  +/-  (5.27e-27, 3.57e-82j)
| (0.043486488421328455333 + 9.222177687429102355e-425j)  +/-  (1.11e-27, 7.51e-83j)
| (0.061169808831203964588 + 5.629804037483707197e-425j)  +/-  (3.99e-29, 2.7e-84j)
| (0.052480863663346590026 - 6.3624787784175961355e-426j)  +/-  (4e-29, 2.71e-84j)
| (0.061169808831203964588 + 7.4365018288338126775e-426j)  +/-  (7.57e-30, 5.12e-85j)
| (0.10287912458764835323 - 1.4445861107792943027e-425j)  +/-  (2.78e-32, 1.88e-87j)
| (0.069268583913014086141 - 4.5620631815302641737e-425j)  +/-  (2.49e-30, 1.69e-85j)
| (0.089093417411858153209 + 2.6938974902510924822e-425j)  +/-  (3.71e-32, 2.51e-87j)
| (0.097808285786411268982 + 1.1192003124510627291e-425j)  +/-  (6.67e-33, 4.51e-88j)
| (0.069268583913014086141 - 8.0569538173617978326e-426j)  +/-  (6.74e-32, 4.56e-87j)
| (0.093974676791568818299 - 1.0423605982567544222e-425j)  +/-  (4.32e-33, 2.92e-88j)
| (0.093974676791568818299 - 2.3229460234044192064e-425j)  +/-  (2.62e-33, 1.77e-88j)
| (0.076634713433799540904 + 3.7702981861046858824e-425j)  +/-  (2.03e-32, 1.37e-87j)
| (0.10229582934114187913 + 1.6011867022743847732e-425j)  +/-  (4.45e-34, 3.01e-89j)
| (0.089093417411858153209 + 9.7603403787300443274e-426j)  +/-  (3.18e-34, 2.15e-89j)
| (0.08326406622977312114 - 9.1682946778437427804e-426j)  +/-  (2.24e-34, 1.52e-89j)
| (0.10058539543017815702 - 1.7929325744105752533e-425j)  +/-  (7.13e-35, 4.82e-90j)
| (0.08326406622977312114 - 3.1655227176175668314e-425j)  +/-  (2.03e-34, 1.37e-89j)
| (0.097808285786411268982 + 2.0289552196112792194e-425j)  +/-  (5.58e-35, 3.77e-90j)
| (0.10229582934114187913 + 1.3160772719475373921e-425j)  +/-  (7.9e-36, 5.35e-91j)
| (0.076634713433799540904 + 8.6111928324691024103e-426j)  +/-  (4.49e-36, 3.08e-91j)
| (0.10058539543017815702 - 1.2093117814428011987e-425j)  +/-  (4.82e-36, 3.25e-91j)
