Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 3 26
-------------------------------------------------
Trying to find an order 3 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : 3/2*t^5 - 25/14*t^3 + 3/7*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^31 - 20697146197629873040075/1804551112042095458888*t^29 + 112399230013858984523571/2835723176066150006824*t^27 - 3075432368891422928964615/37573332082876487590418*t^25 + 143726776269302542809960675/1277493290817800578074212*t^23 - 176441999399865596621199105/1625900551949928008458088*t^21 + 27586647178336887435741375/365633138476778068887704*t^19 - 646080378417678000749355/16899010601867893940188*t^17 + 125604771370896017456462700/8901553834533913132994029*t^15 - 1564211056040719443373029975/417101379675303358231720216*t^13 + 5518460996324793260155815/7869837352364214306258872*t^11 - 15559927373878778914291125/175372170999843457438336909*t^9 + 55065231028564561496657745/7716375523993112127286823996*t^7 - 1052949935548556068506075/3203023802412235222647360904*t^5 + 1214590533356882909282175/169760261527848466800310127912*t^3 - 27820726207790642577315/594160915347469633801085447692*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:
| (-0.9968412640397844141 - 4.1621113439415218013e-455j)  +/-  (5.16e-118, 5.16e-118j)
| (-0.98342385701438370767 + 6.6463831912711819064e-457j)  +/-  (1.4e-117, 1.4e-117j)
| (-0.8831199664004363681 + 1.2851956567138556782e-455j)  +/-  (9.74e-118, 9.74e-118j)
| (0.9968412640397844141 - 6.0070515084617125064e-455j)  +/-  (5.33e-118, 5.33e-118j)
| (0.8831199664004363681 + 8.3455944018628059271e-465j)  +/-  (9.22e-118, 9.22e-118j)
| (0.92582009977255146157 + 6.4455892798278829591e-476j)  +/-  (1.5e-117, 1.5e-117j)
| (0.98342385701438370767 - 3.8642086166107266437e-492j)  +/-  (1.36e-117, 1.36e-117j)
| (-0.92582009977255146157 + 5.7096780087797288959e-500j)  +/-  (1.6e-117, 1.6e-117j)
| (-0.95957025773729571464 + 2.2456446492304519158e-503j)  +/-  (1.67e-117, 1.67e-117j)
| (0.95957025773729571464 + 3.2578630522559475217e-504j)  +/-  (1.61e-117, 1.61e-117j)
| (0.83305097489322702656 + 4.2360873710727259414e-509j)  +/-  (4.35e-118, 4.35e-118j)
| (0.30670145626967542233 + 5.9303885963636521127e-521j)  +/-  (4.11e-124, 4.11e-124j)
| (-0.83305097489322702656 - 3.4782861878863178074e-515j)  +/-  (4.68e-118, 4.68e-118j)
| (-0.77781352330032879272 - 2.9676615084254266346e-516j)  +/-  (1.67e-118, 1.67e-118j)
| (-2.8951365261460508064e-524 - 2.8503580436434743878e-524j)  +/-  (1.26e-522, 1.26e-522j)
| (0.71844447619592929261 + 2.4938566292109963455e-514j)  +/-  (5.14e-119, 5.14e-119j)
| (0.77781352330032879272 - 2.1387945484919575567e-517j)  +/-  (1.6e-118, 1.6e-118j)
| (-0.10395987413267970804 + 1.6848353280309956251e-526j)  +/-  (9.24e-127, 9.24e-127j)
| (-0.71844447619592929261 - 1.0634001866511537956e-520j)  +/-  (4.64e-119, 4.64e-119j)
| (-0.40283366757363332694 + 9.6901707972593301254e-525j)  +/-  (6.8e-123, 6.8e-123j)
| (0.40283366757363332694 + 2.1832429422562580483e-523j)  +/-  (6.36e-123, 6.36e-123j)
| (0.65246301571950031282 - 3.3001289278020299653e-520j)  +/-  (8.47e-120, 8.47e-120j)
| (0.10395987413267970804 - 9.6230608710237792872e-529j)  +/-  (9.24e-127, 9.24e-127j)
| (-0.49358657563127178514 + 1.4870605615893740702e-524j)  +/-  (9.17e-122, 9.17e-122j)
| (-0.57735026918962576451 + 1.0806685856254060015e-522j)  +/-  (1.01e-120, 1.01e-120j)
| (0.20662862991166444777 + 6.2276077448378580808e-529j)  +/-  (1.7e-125, 1.7e-125j)
| (0.57735026918962576451 - 3.1431009611429541389e-523j)  +/-  (1.02e-120, 1.02e-120j)
| (0.49358657563127178514 - 8.1612728728865961118e-525j)  +/-  (9.85e-122, 9.85e-122j)
| (-0.30670145626967542233 - 8.8459028093991904417e-527j)  +/-  (4.39e-124, 4.39e-124j)
| (-0.65246301571950031282 - 1.2341585240773731712e-525j)  +/-  (9.1e-120, 9.1e-120j)
| (-0.20662862991166444777 + 3.811323508304133203e-531j)  +/-  (1.78e-125, 1.78e-125j)
-------------------------------------------------
The weights are:
| (0.0080987864347181139582 - 5.4239645042884583285e-455j)  +/-  (1.07e-24, 1.18e-80j)
| (0.018698899619894563213 + 9.2080226463414049054e-455j)  +/-  (6.75e-25, 7.41e-81j)
| (0.046713739211800491878 - 5.6427759083873428527e-455j)  +/-  (9.37e-26, 1.03e-81j)
| (0.0080987864347181139582 + 7.8504980196017087107e-455j)  +/-  (1.31e-25, 1.44e-81j)
| (0.046713739211800491878 + 9.2195818872369072977e-455j)  +/-  (5.82e-26, 6.39e-82j)
| (0.0384267240681310341 - 9.1441161237937196923e-455j)  +/-  (4.25e-26, 4.67e-82j)
| (0.018698899619894563213 - 1.3160643822964779445e-454j)  +/-  (3.27e-26, 3.59e-82j)
| (0.0384267240681310341 + 7.0818138909750147905e-455j)  +/-  (1.17e-26, 1.29e-82j)
| (0.028919964394101638495 - 7.1620976189976472743e-455j)  +/-  (1.82e-26, 2e-82j)
| (0.028919964394101638495 + 9.9417474019177812735e-455j)  +/-  (7.68e-27, 8.44e-83j)
| (0.053032087905936997283 - 9.7416909370866972039e-455j)  +/-  (4.59e-28, 5.04e-84j)
| (0.098332044070383939858 + 2.0023757332030130973e-455j)  +/-  (3.18e-30, 3.49e-86j)
| (0.053032087905936997283 + 4.4537575362606075409e-455j)  +/-  (1.4e-28, 1.54e-84j)
| (0.057197061295408345307 - 5.0659911595852327948e-455j)  +/-  (2.9e-29, 3.19e-85j)
| (0.10417468525858102106 - 6.9641388147594894794e-456j)  +/-  (2.09e-31, 2.29e-87j)
| (0.062043009243308524319 - 9.3565754078825423852e-455j)  +/-  (2.21e-30, 2.43e-86j)
| (0.057197061295408345307 + 1.0088121416648908223e-454j)  +/-  (9.16e-30, 1.01e-85j)
| (0.10353007704865662479 + 3.7747768895781291547e-456j)  +/-  (2.05e-32, 2.25e-88j)
| (0.062043009243308524319 + 4.6458925531047171643e-455j)  +/-  (1.81e-31, 1.99e-87j)
| (0.093694141774922934105 + 7.8397577600628209743e-456j)  +/-  (4.54e-33, 4.98e-89j)
| (0.093694141774922934105 - 2.7508962743052962498e-455j)  +/-  (7.29e-33, 8e-89j)
| (0.070402303717917941017 + 7.4795014516802885556e-455j)  +/-  (1.94e-32, 2.14e-88j)
| (0.10353007704865662479 + 1.0444817204043272211e-455j)  +/-  (4.66e-33, 5.12e-89j)
| (0.087543536583618318792 - 1.4258894675589810172e-455j)  +/-  (7.43e-34, 8.16e-90j)
| (0.079689918985658354812 + 2.3396813117583471781e-455j)  +/-  (7.32e-34, 8.03e-90j)
| (0.10159036301625166755 - 1.4615381635787459987e-455j)  +/-  (9.69e-34, 1.06e-89j)
| (0.079689918985658354812 - 5.4179446163256463988e-455j)  +/-  (4.54e-34, 4.98e-90j)
| (0.087543536583618318792 + 3.8364756912879744806e-455j)  +/-  (3.27e-34, 3.59e-90j)
| (0.098332044070383939858 - 3.1695681858447769888e-456j)  +/-  (4.07e-36, 4.49e-92j)
| (0.070402303717917941017 - 3.5332608695400265044e-455j)  +/-  (4.61e-36, 5.86e-92j)
| (0.10159036301625166755 - 5.2649151029552659162e-457j)  +/-  (3.98e-36, 4.19e-92j)
