Starting with polynomial:
P : t
Extension levels are: 1 2 8 22
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P3 : t^11 - 10483/3705*t^9 + 3234/1105*t^7 - 139986/104975*t^5 + 68299/272935*t^3 - 3633/272935*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^33 - 182965547209137176300327950593642097998615541222262083/21551164525878417655363231471131834271517636452436580*t^31 + 70714218920211856961976719956759078141982397684969369398029/2155353515397626428130532142659365877328750339244634802380*t^29 - 2469274514440322754441274062059002441488651656018888608932667/32330302730964396421957982139890488159931255088669522035700*t^27 + 309792579748697872937297976935186893173519174089252424443009597/2593369246471210732247281396984252565065893047075572252774780*t^25 - 19119199890342417974951164400619300848864542762970140641880107/144246573472363200491860622080780911903073341079943072047828*t^23 + 101996693095361002720185564199228598292670246442232975735890329/949779386369975878563290070064362627725430960097806980886348*t^21 - 20252410352943419427300226680463900135428475259493618330277/314392382115185659901784200617134269356316107281630910588*t^19 + 140641155195419195601982971045041520177752253703093010975689/4900822427089658816116047833149445963495515789978364194460*t^17 - 360772825101313647303985361917541311058320675083319865503997/38226414931299338765705173098565678515265023161831240716788*t^15 + 2565803552512672035256436107130787503915906912749835818804071/1137048459819237194266171521382826162895236081107803767987596*t^13 - 512975300675921328188146943551684411620421969042378839004365293/1342679300514239243783076848057520340508059160083530434029045092*t^11 + 1947130148515459089320977611829871820208724717905405042703717777/44308416916969895044841535985898171236765952282756504322958488036*t^9 - 11317569499066126197524488992538708607067885321481469794207823/3516541025156340876574725078245886606092535895456865422457022860*t^7 + 13557519190723123310835448161026955295346893878061767632049/100472600718752596473563573664168188745501025584481869213057796*t^5 - 5625523350769043148163286391683108316528846443090906866669/2109924615093804525944835046947531963655521537274119253474213716*t^3 + 11090241483075485823946243387277822730460430214419259095/703308205031268175314945015649177321218507179091373084491404572*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:
| (0.99079325588510780584 - 1.6806631989142924647e-439j)  +/-  (8.08e-116, 8.08e-116j)
| (-2.0208737547698566149e-464 - 2.7593491122091614639e-463j)  +/-  (9.13e-462, 9.13e-462j)
| (-0.9225217132136291628 + 3.4519925623610133413e-447j)  +/-  (2.28e-116, 2.28e-116j)
| (-0.97667972251506854616 - 1.5460119262220226025e-445j)  +/-  (7.83e-116, 7.83e-116j)
| (0.9225217132136291628 + 4.6195484234613348658e-448j)  +/-  (2.08e-116, 2.08e-116j)
| (0.95417744289591430055 - 4.4452610986125750129e-455j)  +/-  (4.58e-116, 4.58e-116j)
| (-0.99823057474573572479 + 4.9017531544563182635e-461j)  +/-  (3.41e-116, 3.41e-116j)
| (-0.88177827725295929029 - 3.4536859512801238839e-467j)  +/-  (8.16e-117, 8.16e-117j)
| (-0.99079325588510780584 - 6.719310260879602462e-466j)  +/-  (7.56e-116, 7.56e-116j)
| (0.99823057474573572479 - 7.0322583601688377918e-466j)  +/-  (3.07e-116, 3.07e-116j)
| (0.88177827725295929029 + 2.1778532038703299293e-480j)  +/-  (8.11e-117, 8.11e-117j)
| (0.97667972251506854616 - 5.1388262241431914835e-487j)  +/-  (7.69e-116, 7.69e-116j)
| (-0.95417744289591430055 + 2.6976605909240681065e-496j)  +/-  (4.8e-116, 4.8e-116j)
| (-0.83230817570307920397 + 4.6002193285292027103e-499j)  +/-  (2.03e-117, 2.03e-117j)
| (-0.098634553014592439996 + 3.1266359154952773039e-509j)  +/-  (1.12e-126, 1.12e-126j)
| (0.83230817570307920397 - 5.1134039628611596981e-499j)  +/-  (2.08e-117, 2.08e-117j)
| (0.77459666924148337704 + 3.9344126414384286855e-502j)  +/-  (4.96e-118, 4.96e-118j)
| (-0.38480726695303768366 + 2.7026148067131743868e-508j)  +/-  (6.81e-123, 6.81e-123j)
| (-0.77459666924148337704 - 9.734572692869735071e-504j)  +/-  (4.58e-118, 4.58e-118j)
| (-0.70921295863303400043 + 3.4140660270236113327e-505j)  +/-  (7.62e-119, 7.62e-119j)
| (0.47379132949741309452 + 1.4088809859399797869e-507j)  +/-  (1.11e-121, 1.11e-121j)
| (0.70921295863303400043 - 4.7513599306766491955e-505j)  +/-  (8.16e-119, 8.16e-119j)
| (0.19629087859904982233 + 9.5908728928994145051e-513j)  +/-  (2.44e-125, 2.44e-125j)
| (-0.55806685067819680295 + 6.5927204392413461159e-508j)  +/-  (1.16e-120, 1.16e-120j)
| (-0.47379132949741309452 - 2.115414868033418439e-509j)  +/-  (1e-121, 1e-121j)
| (0.098634553014592439996 - 6.1244197335032488824e-514j)  +/-  (9.8e-127, 9.8e-127j)
| (0.6367993325216061138 + 3.4487828324837093578e-508j)  +/-  (1.01e-119, 1.01e-119j)
| (0.38480726695303768366 - 1.5921396563389806745e-513j)  +/-  (6.51e-123, 6.51e-123j)
| (-0.19629087859904982233 - 7.0034698997640800357e-515j)  +/-  (1.98e-125, 1.98e-125j)
| (-0.6367993325216061138 - 7.230936332543601031e-511j)  +/-  (1.17e-119, 1.17e-119j)
| (-0.2919991541426287378 + 2.1265560079798306917e-518j)  +/-  (3.68e-124, 3.68e-124j)
| (0.2919991541426287378 - 2.3210149272502569089e-514j)  +/-  (4.52e-124, 4.52e-124j)
| (0.55806685067819680295 + 2.8956703484645709412e-512j)  +/-  (1.13e-120, 1.13e-120j)
-------------------------------------------------
The weights are:
| (0.010490948785542158925 + 4.5056141841458437295e-440j)  +/-  (1.55e-22, 1.67e-77j)
| (0.098797863580324835546 - 1.8274271852467945404e-441j)  +/-  (9.44e-23, 1.01e-77j)
| (0.036245001629612782932 - 1.3399704964871122679e-441j)  +/-  (2.51e-23, 2.7e-78j)
| (0.018072520378035350695 - 1.2601623629586768215e-441j)  +/-  (1.93e-23, 2.07e-78j)
| (0.036245001629612782932 - 3.755126039272531123e-440j)  +/-  (5.46e-24, 5.86e-79j)
| (0.027046579104794028016 + 7.216699524874001843e-440j)  +/-  (6.67e-24, 7.16e-79j)
| (0.0045050330625517192339 - 3.0784266816699126962e-442j)  +/-  (1.22e-24, 1.3e-79j)
| (0.045179574878202651175 + 1.2989680474539275093e-441j)  +/-  (3.31e-25, 3.55e-80j)
| (0.010490948785542158925 + 8.896400325226674318e-442j)  +/-  (1.78e-24, 1.91e-79j)
| (0.0045050330625517192339 + 8.2337373819874313675e-440j)  +/-  (2.78e-25, 2.99e-80j)
| (0.045179574878202651175 + 2.2312182856740235404e-440j)  +/-  (2.2e-26, 2.36e-81j)
| (0.018072520378035350695 - 1.756721008747406996e-439j)  +/-  (4.79e-25, 5.15e-80j)
| (0.027046579104794028016 + 1.3587446321460888296e-441j)  +/-  (1.19e-25, 1.27e-80j)
| (0.053679250801941000737 - 1.2648248064344709462e-441j)  +/-  (2.36e-27, 2.53e-82j)
| (0.098308066867062310182 + 1.6656158650881525361e-441j)  +/-  (7.39e-30, 7.93e-85j)
| (0.053679250801941000737 - 1.4549468008505826836e-440j)  +/-  (9.06e-28, 9.72e-83j)
| (0.061648751540830203116 + 1.0159860537539894525e-440j)  +/-  (1.52e-28, 1.63e-83j)
| (0.091047158990157398126 - 1.3642598831858086338e-441j)  +/-  (1.91e-30, 2.06e-85j)
| (0.061648751540830203116 + 1.2442277961505462104e-441j)  +/-  (3.16e-29, 3.39e-84j)
| (0.069011561505773221929 - 1.2381294561012485405e-441j)  +/-  (4.24e-30, 4.55e-85j)
| (0.086773370816865979262 + 3.7062102530307949645e-441j)  +/-  (8.7e-32, 9.34e-87j)
| (0.069011561505773221929 - 7.475004164658798751e-441j)  +/-  (9.56e-31, 1.03e-85j)
| (0.096842792972321925663 - 2.2990500080717962951e-441j)  +/-  (6.67e-32, 7.16e-87j)
| (0.081638441802701836905 - 1.2695898907862268668e-441j)  +/-  (1.89e-31, 2.03e-86j)
| (0.086773370816865979262 + 1.3083048303631724389e-441j)  +/-  (1.36e-31, 1.46e-86j)
| (0.098308066867062310182 + 2.0339065637850410076e-441j)  +/-  (1.94e-32, 2.08e-87j)
| (0.075697119061681828857 + 5.7311064148088376404e-441j)  +/-  (1.07e-32, 1.14e-87j)
| (0.091047158990157398126 - 3.0968914491373555531e-441j)  +/-  (2.88e-33, 3.1e-88j)
| (0.096842792972321925663 - 1.5387303207546627595e-441j)  +/-  (2.51e-33, 2.69e-88j)
| (0.075697119061681828857 + 1.2464954448804471397e-441j)  +/-  (4.45e-33, 4.77e-88j)
| (0.094414896011763186474 + 1.439906255681389066e-441j)  +/-  (1.83e-33, 1.96e-88j)
| (0.094414896011763186474 + 2.6432652910673646064e-441j)  +/-  (3.16e-34, 3.44e-89j)
| (0.081638441802701836905 - 4.5442337633695477933e-441j)  +/-  (2.78e-34, 2.92e-89j)
