Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 6 24
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P2 : 3/2*t^8 - 161/52*t^6 + 105/52*t^4 - 245/572*t^2 + 25/1716
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^32 - 522927807673413173290026387860349494633/45144571433576497187084555308698392500*t^30 + 31254395641845655327497769112084103704388303/772829918371396055345700502329607781207500*t^28 - 248887202745943447608715036153399038464667449/2949371321131654333666244774196666430322500*t^26 + 1094517873478634872452513732861149006876118961/9338163352136837874900202685071906944005700*t^24 - 315293444347565685753325200199905742690420249/2760337594656801132832135384895469348228100*t^22 + 761891155894654724421954354294526078354925693/9499863150442237664941764636328563341304500*t^20 - 7935679907628761398036905908716561976249255521/193497212590586630333287521803113369109728500*t^18 + 5538585138623138508087201726964951149290516899/362965359565348777161134109526101548591451500*t^16 - 5592595212967484128872592725667275878310277/1369680602133391611928807960475854900345100*t^14 + 200703608310465162889346139243814229347123/261439634740947498555438734352534128637300*t^12 - 1311072487059758860835967065571540025649855309/13429718303917904754961962052465757297883705500*t^10 + 106244115733166372699393649937552662539914901/13429718303917904754961962052465757297883705500*t^8 - 2138485466534552936103077105033541520594249/5755593558821959180697983736771038841950159500*t^6 + 472203675821328082297031287105959562041697/54869991927436010855987444957217236959924853900*t^4 - 585442094050124046078444636210021259021/8172126457277703744508768397883418270627105900*t^2 + 10532874792536692997302225447045981231/122005040873945953550372083493106562181479969260
-------------------------------------------------
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:
| (-0.99660120279004616487 - 3.6913366589348967747e-441j)  +/-  (5.7e-118, 5.7e-118j)
| (-0.95675799547949816629 + 8.2012295948085000263e-440j)  +/-  (2.4e-117, 2.4e-117j)
| (-0.92182827264841976689 - 1.4920962495382502891e-440j)  +/-  (2.78e-117, 2.78e-117j)
| (0.98219129046748981137 - 5.3661968822059983239e-439j)  +/-  (1.81e-117, 1.81e-117j)
| (0.48787592153258271304 + 3.1455313711255796757e-443j)  +/-  (7.27e-122, 7.27e-122j)
| (0.92182827264841976689 - 2.9126218218654654139e-438j)  +/-  (2.78e-117, 2.78e-117j)
| (0.95675799547949816629 + 3.1222504569845112707e-439j)  +/-  (2.55e-117, 2.55e-117j)
| (-0.88409833311469109056 - 1.8199555202275352378e-441j)  +/-  (2.49e-117, 2.49e-117j)
| (-0.98219129046748981137 - 6.4260065824825379665e-443j)  +/-  (1.71e-117, 1.71e-117j)
| (0.88409833311469109056 + 2.5319207904210099394e-440j)  +/-  (2.28e-117, 2.28e-117j)
| (0.85110112875893547946 - 8.7084762028722558062e-445j)  +/-  (1.33e-117, 1.33e-117j)
| (0.99660120279004616487 - 9.2832892513535073442e-447j)  +/-  (5.97e-118, 5.97e-118j)
| (-0.66064830108985427334 + 3.5808510024017606471e-449j)  +/-  (6.76e-120, 6.76e-120j)
| (-0.73612083264045626184 + 2.6263129984143724199e-447j)  +/-  (4.98e-119, 4.98e-119j)
| (0.037931372773611477441 - 1.7275296302392928512e-447j)  +/-  (2.35e-127, 2.35e-127j)
| (0.80155708592425164349 - 8.3037308327563645462e-453j)  +/-  (3.04e-118, 3.04e-118j)
| (0.57735026918962576451 + 9.0089254384495655764e-456j)  +/-  (7.32e-121, 7.32e-121j)
| (-0.2041968861768067152 + 5.8456562836538934481e-453j)  +/-  (3.03e-125, 3.03e-125j)
| (-0.80155708592425164349 + 1.175262439989406167e-452j)  +/-  (2.92e-118, 2.92e-118j)
| (-0.85110112875893547946 - 9.7002876817752072617e-458j)  +/-  (1.34e-117, 1.34e-117j)
| (0.2041968861768067152 + 3.5568293855210864784e-460j)  +/-  (2.87e-125, 2.87e-125j)
| (0.73612083264045626184 - 1.8214966168762131998e-468j)  +/-  (5.11e-119, 5.11e-119j)
| (0.11683944969365603072 - 5.650489193933709234e-472j)  +/-  (2.25e-126, 2.25e-126j)
| (-0.39404317720052915387 - 1.3279952993230586347e-476j)  +/-  (5.11e-123, 5.11e-123j)
| (-0.48787592153258271304 + 1.591242164420302347e-480j)  +/-  (7.18e-122, 7.18e-122j)
| (-0.037931372773611477441 + 6.7629535251457055169e-488j)  +/-  (2.35e-127, 2.35e-127j)
| (0.66064830108985427334 + 1.0778708709601256617e-495j)  +/-  (6.89e-120, 6.89e-120j)
| (0.39404317720052915387 - 2.0523048969023431333e-498j)  +/-  (5.18e-123, 5.18e-123j)
| (-0.11683944969365603072 - 4.8248456231954041058e-504j)  +/-  (2.33e-126, 2.33e-126j)
| (-0.57735026918962576451 + 1.0196473253209432806e-507j)  +/-  (8.07e-121, 8.07e-121j)
| (-0.29826614351757292006 + 2.4477893672695428581e-512j)  +/-  (4.25e-124, 4.25e-124j)
| (0.29826614351757292006 - 1.3111886377722026979e-512j)  +/-  (4.09e-124, 4.09e-124j)
-------------------------------------------------
The weights are:
| (0.0087116555758519576795 - 7.3446204922795764982e-441j)  +/-  (2.32e-26, 6.6e-82j)
| (0.030611947377550309747 + 8.9106166461616467539e-440j)  +/-  (1.31e-26, 3.71e-82j)
| (0.038367197493041418087 - 2.9187514091150363038e-439j)  +/-  (8.41e-27, 2.39e-82j)
| (0.020044564392595254159 - 1.8398737338651913452e-440j)  +/-  (3.06e-28, 8.69e-84j)
| (0.091989943939724943688 - 1.1122376932209322471e-438j)  +/-  (3.16e-28, 8.98e-84j)
| (0.038367197493041418087 + 4.3879817567923115256e-438j)  +/-  (2.26e-28, 6.44e-84j)
| (0.030611947377550309747 - 3.649238578648622864e-440j)  +/-  (2.03e-28, 5.79e-84j)
| (0.034074466275120701134 + 4.5824566854521632665e-439j)  +/-  (1.16e-28, 3.3e-84j)
| (0.020044564392595254159 + 3.2070391868512212992e-440j)  +/-  (4.67e-28, 1.33e-83j)
| (0.034074466275120701134 - 8.9288961002432178647e-438j)  +/-  (5.6e-29, 1.59e-84j)
| (0.038326362632888706304 + 6.4506792161739597094e-438j)  +/-  (1.9e-29, 5.4e-85j)
| (0.0087116555758519576795 + 2.6690003801289729554e-439j)  +/-  (1.44e-29, 4.09e-85j)
| (0.079667784088956451662 + 2.6482283776946858744e-439j)  +/-  (1.14e-31, 3.25e-87j)
| (0.070947637789816824518 - 2.7162494941305711689e-439j)  +/-  (2.04e-31, 5.81e-87j)
| (0.076294235270412015188 + 4.0203345815359494508e-438j)  +/-  (2.89e-33, 8.22e-89j)
| (0.059083408567838192662 - 3.2057419512459795754e-438j)  +/-  (2.43e-31, 6.91e-87j)
| (0.086661909192156276314 + 1.1197084276131564806e-438j)  +/-  (1.22e-32, 3.47e-88j)
| (0.091562597836443549915 - 1.5226061040530745131e-438j)  +/-  (8.94e-34, 2.54e-89j)
| (0.059083408567838192662 + 3.4354991299359181846e-439j)  +/-  (3.47e-32, 9.88e-88j)
| (0.038326362632888706304 - 4.8071941097091906662e-439j)  +/-  (8e-32, 2.28e-87j)
| (0.091562597836443549915 + 2.3031756275084840032e-438j)  +/-  (9.37e-35, 2.66e-90j)
| (0.070947637789816824518 + 1.8045226273149928994e-438j)  +/-  (1.36e-33, 3.87e-89j)
| (0.082697792908893588758 - 3.3030316593022316873e-438j)  +/-  (8.11e-35, 2.31e-90j)
| (0.095284058830973849256 - 5.4724289892088880216e-439j)  +/-  (1.53e-35, 4.34e-91j)
| (0.091989943939724943688 + 3.8287474171577835798e-439j)  +/-  (1.62e-35, 4.6e-91j)
| (0.076294235270412015188 - 3.7267515199643009804e-438j)  +/-  (2.5e-35, 7.11e-91j)
| (0.079667784088956451662 - 1.3002141402197577537e-438j)  +/-  (1.79e-35, 5.07e-91j)
| (0.095284058830973849256 + 1.258462230338584415e-438j)  +/-  (3.78e-36, 1.07e-91j)
| (0.082697792908893588758 + 2.612488822221864074e-438j)  +/-  (4.64e-36, 1.33e-91j)
| (0.086661909192156276314 - 2.997828368880626391e-439j)  +/-  (5.14e-37, 1.47e-92j)
| (0.09567443782773596093 + 8.7365407617483482002e-439j)  +/-  (8.65e-37, 2.5e-92j)
| (0.09567443782773596093 - 1.6156169740698748492e-438j)  +/-  (7.46e-37, 2.03e-92j)
