Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 6 9
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
-------------------------------------------------
Trying to find an order 9 Kronrod extension for:
P3 : 3/2*t^12 - 1595/364*t^10 + 318813/66248*t^8 - 10310751/4183088*t^6 + 2471775/4183088*t^4 - 33827/597584*t^2 + 31245/29281616
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^21 - 4993619531904582049233759017547/653375242625340161842770385804*t^19 + 2330906295460902079025668691958876425/139486467047113369791165678583752744*t^17 - 7285215703133166228647214786168265267/355553739531857609271598788546820720*t^15 + 1043196650457059219808089275868495452399/67524734476235929395094775642020495024*t^13 - 46301688044162483758054192468974371853/6268874553496704320499514980028427920*t^11 + 799162700898803387210507561719688593/359046797994873782675087428085894160*t^9 - 251078780988715835728911138059828663655/618111030974775046001252177030802992912*t^7 + 18169329920409181893707707613750942261/441507879267696461429465840736287852080*t^5 - 15607168952745261307116677412811118271/8035443402672075598016278301400438907856*t^3 + 225983960123218315957162264090710645/8035443402672075598016278301400438907856*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:
| (-0.99105250481616767714 - 1.539071350523579418e-286j)  +/-  (1.33e-121, 1.33e-121j)
| (0.95804687621331566448 + 8.9974548134997521271e-286j)  +/-  (3.83e-121, 3.83e-121j)
| (-0.95804687621331566448 - 7.3923950375766961814e-287j)  +/-  (3.83e-121, 3.83e-121j)
| (0.43693939954921891801 - 1.8980276036628975797e-286j)  +/-  (2.85e-124, 2.85e-124j)
| (0.84159150896814033601 - 2.4314476598236982322e-289j)  +/-  (2.03e-121, 2.03e-121j)
| (0.74677180221832073614 - 7.8481040918807614172e-289j)  +/-  (9.37e-122, 9.37e-122j)
| (0.99105250481616767714 + 9.4923989707456230208e-291j)  +/-  (1.26e-121, 1.26e-121j)
| (-0.91248695683407599658 - 6.614168947753862018e-288j)  +/-  (3.62e-121, 3.62e-121j)
| (-0.84159150896814033601 + 1.9213461025316019779e-288j)  +/-  (1.97e-121, 1.97e-121j)
| (0.29699805395362733505 - 2.3949652879959518907e-293j)  +/-  (2.21e-125, 2.21e-125j)
| (0.91248695683407599658 - 8.872838370282617059e-305j)  +/-  (3.84e-121, 3.84e-121j)
| (-9.0630677271773830385e-330 - 1.8311052002247801261e-329j)  +/-  (4.29e-328, 4.29e-328j)
| (-0.15655801081562154215 + 3.8927943765174680337e-356j)  +/-  (8.75e-127, 8.75e-127j)
| (-0.67795275863299114217 - 1.4222584033360634577e-367j)  +/-  (3.38e-122, 3.38e-122j)
| (-0.29699805395362733505 - 1.6902328100310268867e-376j)  +/-  (1.79e-125, 1.79e-125j)
| (0.67795275863299114217 - 2.904232100661245993e-383j)  +/-  (4.05e-122, 4.05e-122j)
| (0.57735026918962576451 + 1.9734985469092314666e-383j)  +/-  (4.61e-123, 4.61e-123j)
| (-0.57735026918962576451 + 1.7782786031684742285e-383j)  +/-  (4.35e-123, 4.35e-123j)
| (-0.74677180221832073614 + 5.4431899780152533612e-391j)  +/-  (9.62e-122, 9.62e-122j)
| (-0.43693939954921891801 - 2.3021703897863199859e-397j)  +/-  (2.61e-124, 2.61e-124j)
| (0.15655801081562154215 + 5.9490950184885265122e-405j)  +/-  (9.83e-127, 9.83e-127j)
-------------------------------------------------
The weights are:
| (0.022419947231224795205 - 2.6109207231021266288e-286j)  +/-  (2.52e-42, 8.46e-101j)
| (0.040283217710904112545 - 8.4527069993916496745e-286j)  +/-  (7.26e-43, 2.44e-101j)
| (0.040283217710904112545 + 3.9206089996595654611e-286j)  +/-  (9.57e-43, 3.22e-101j)
| (0.14369259605794129934 - 3.7690054329366974179e-286j)  +/-  (2.33e-43, 7.82e-102j)
| (0.087304296554953711204 - 1.1077644107785724438e-285j)  +/-  (2.66e-43, 8.94e-102j)
| (0.091155651254864475009 + 1.3692793509345902307e-285j)  +/-  (2.08e-43, 7.01e-102j)
| (0.022419947231224795205 - 2.3825064182244129126e-286j)  +/-  (4.65e-44, 1.56e-102j)
| (0.054479168222896524941 - 2.541503635808149796e-286j)  +/-  (1.66e-44, 5.59e-103j)
| (0.087304296554953711204 + 2.3457417687574043859e-286j)  +/-  (5.08e-45, 1.71e-103j)
| (0.13631675822520493972 + 8.827951850871889329e-287j)  +/-  (9.24e-45, 3.11e-103j)
| (0.054479168222896524941 + 1.6763158595435557134e-285j)  +/-  (4.8e-44, 1.61e-102j)
| (0.16088800178318919864 + 8.602047195375272972e-287j)  +/-  (1.18e-45, 3.96e-104j)
| (0.14863398619942793983 - 5.9625627040305289133e-287j)  +/-  (3.77e-46, 1.27e-104j)
| (0.064272615756519636164 + 2.2849047883139476166e-286j)  +/-  (4.25e-47, 1.43e-105j)
| (0.13631675822520493972 + 2.7275731845113842955e-287j)  +/-  (8.41e-47, 2.82e-105j)
| (0.064272615756519636164 - 1.3953132648200060865e-285j)  +/-  (6.24e-46, 2.1e-104j)
| (0.13099776189446796673 + 8.9394075696094151556e-286j)  +/-  (3e-46, 1.01e-104j)
| (0.13099776189446796673 - 9.0648735560571384551e-287j)  +/-  (7.47e-48, 2.51e-106j)
| (0.091155651254864475009 - 2.6826625143478475672e-286j)  +/-  (9.18e-48, 3.09e-106j)
| (0.14369259605794129934 + 1.5230614964270465347e-287j)  +/-  (4.72e-48, 1.59e-106j)
| (0.14863398619942793983 - 1.1418524980349153369e-286j)  +/-  (3.13e-48, 9.65e-107j)
