Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4 10 16
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Trying to find an order 10 Kronrod extension for:
P1 : 35/8*t^4 - 15/4*t^2 + 3/8
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 35/8*t^14 - 436215/27784*t^12 + 12954799/583464*t^10 - 3039465/194488*t^8 + 2679105/472328*t^6 - 8846695/8974232*t^4 + 1485/22952*t^2 - 273/390184
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 35/8*t^30 - 5084437683310812421076751162992773531579271695875440998815/151407372723241211980170210716064486265213936895896088584*t^28 + 163680520385314674565120821379193654505613895954934949539068989/1412782194880563748986968236191597721340711245175606402577304*t^26 - 1005348884478160786092705444722170629836365243769215994442959275/4238346584641691246960904708574793164022133735526819207731912*t^24 + 154615561544374540318389326825179692649354056293892745960525/482472039714399796425149358478170362653936838360749211736*t^22 - 237633109576663563473827688901761274719888787913730255732812296125/790780702211501635822724326340858458720875001748385852056266488*t^20 + 102805059038957841742214836907708915411719056740458224918110055625/513313789154834395183171931133539701274953948503338184668102808*t^18 - 25958658366425887954850962056758439479843055501989907100450826525/271754358964324091567561610600109253616152090384120215412525016*t^16 + 3729233863497761898002720402747923239043297968090755156745547540375/115133263414551973460790269024246287115376435626072264596439765112*t^14 - 6168279222917290949481024387624882296634380647983787204253596775125/805932843901863814225531883169724009807635049382505852175078355784*t^12 + 26436404203723927826625010678329848527222777840294622084202101446375/21760186785350322984089360845582548264806146333327658008727115606168*t^10 - 294712357976657604094950855221607758852797264773147136166405230115/2417798531705591442676595649509172029422905148147517556525235067352*t^8 + 55399287274899045156031604066104469419803700576442546428202717503/7944195175604086168794528562672993810960974058198986257154343792728*t^6 - 4476687023433465560473913430049297511985260203295535313490619985/23832585526812258506383585688018981432882922174596958771463031378184*t^4 + 1106501334873073678198612299403154665060892842967675916433855/729177334958829165251671703820226485064050758965124342444118512376*t^2 - 112856074158591726759884390135553573167779232916878711435/111564132248700862283505770684494652214799766121664024393950132393528
-------------------------------------------------
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:
| (-0.99444997880691468328 + 9.858881594386622685e-438j)  +/-  (1.07e-116, 1.07e-116j)
| (-0.99846408876102889709 - 2.0589936608610421439e-452j)  +/-  (7.03e-117, 7.03e-117j)
| (-0.9130922314964186299 - 2.8328096401358358383e-464j)  +/-  (7.9e-118, 7.9e-118j)
| (0.99846408876102889709 + 2.242409238693842593e-462j)  +/-  (6.61e-117, 6.61e-117j)
| (0.86113631159405257522 + 1.1382295186578587011e-468j)  +/-  (2.25e-118, 2.25e-118j)
| (0.979984994846605313 + 8.1470465197057746976e-465j)  +/-  (6.11e-117, 6.11e-117j)
| (0.99444997880691468328 + 8.5078201284408927311e-466j)  +/-  (1.14e-116, 1.14e-116j)
| (-0.86113631159405257522 - 3.0280677568598275563e-466j)  +/-  (2.18e-118, 2.18e-118j)
| (-0.95280406968027788258 - 2.1268407779698010782e-466j)  +/-  (2.65e-117, 2.65e-117j)
| (0.95280406968027788258 + 1.7558223075031912713e-481j)  +/-  (2.25e-117, 2.25e-117j)
| (0.9130922314964186299 - 1.5961462440204913507e-485j)  +/-  (8.34e-118, 8.34e-118j)
| (0.79754531704369287258 + 5.633617994590257386e-489j)  +/-  (4.4e-119, 4.4e-119j)
| (-0.979984994846605313 - 2.9506444082345701003e-487j)  +/-  (5.76e-117, 5.76e-117j)
| (-0.79754531704369287258 + 4.3807838442844356802e-503j)  +/-  (4.52e-119, 4.52e-119j)
| (-0.00081650472666657241228 - 1.7401496400431354814e-508j)  +/-  (2.66e-129, 2.66e-129j)
| (0.72317255923281838433 - 1.5202577707889609128e-506j)  +/-  (7.49e-120, 7.49e-120j)
| (0.44614207406094625197 + 7.5181405138026046981e-512j)  +/-  (6.81e-123, 6.81e-123j)
| (-0.11539569344883949077 - 4.037157958702690376e-515j)  +/-  (8.62e-127, 8.62e-127j)
| (-0.72317255923281838433 + 4.6175477005549864667e-509j)  +/-  (7.22e-120, 7.22e-120j)
| (-0.22923147134799356198 + 8.0580706600921565901e-516j)  +/-  (2.12e-125, 2.12e-125j)
| (0.3399810435848562648 + 3.6209980966714515806e-513j)  +/-  (3.82e-124, 3.82e-124j)
| (0.63903634397661954543 - 5.3385734034088761251e-512j)  +/-  (9.03e-121, 9.03e-121j)
| (0.00081650472666657241228 - 1.1880200932169831553e-516j)  +/-  (2.66e-129, 2.66e-129j)
| (-0.54627694908708365616 + 2.6497325695887532544e-511j)  +/-  (9.35e-122, 9.35e-122j)
| (-0.44614207406094625197 + 8.9524799039954989874e-514j)  +/-  (6.73e-123, 6.73e-123j)
| (0.11539569344883949077 + 2.7047051571864164464e-518j)  +/-  (8.62e-127, 8.62e-127j)
| (0.54627694908708365616 - 4.2816069336777243673e-513j)  +/-  (8.83e-122, 8.83e-122j)
| (0.22923147134799356198 - 1.2130260172856954982e-517j)  +/-  (2.33e-125, 2.33e-125j)
| (-0.3399810435848562648 + 3.9121331969383147835e-516j)  +/-  (4.24e-124, 4.24e-124j)
| (-0.63903634397661954543 - 5.9419535762690397019e-512j)  +/-  (9.17e-121, 9.17e-121j)
-------------------------------------------------
The weights are:
| (0.0078902351949066217789 - 8.239107343552997453e-438j)  +/-  (3.38e-23, 8.65e-78j)
| (0.0027301574733707828197 + 1.1341577122421191232e-437j)  +/-  (3.04e-23, 7.77e-78j)
| (0.045910163134053264713 - 4.077147224339761823e-439j)  +/-  (2.8e-24, 7.15e-79j)
| (0.0027301574733707828197 + 2.284410470242865869e-440j)  +/-  (2.72e-25, 6.97e-80j)
| (0.057898495902152005156 - 1.5521087782598252696e-440j)  +/-  (4.52e-26, 1.16e-80j)
| (0.020888884949556511271 + 2.792272426224208465e-440j)  +/-  (7.67e-26, 1.96e-80j)
| (0.0078902351949066217789 - 3.9111517017564467704e-440j)  +/-  (2.18e-25, 5.56e-80j)
| (0.057898495902152005156 + 2.1603724737024240314e-439j)  +/-  (2.81e-27, 7.19e-82j)
| (0.033466600256716588815 + 9.8096641323718871685e-439j)  +/-  (9.64e-27, 2.47e-81j)
| (0.033466600256716588815 - 2.0979922025940781187e-440j)  +/-  (6.63e-27, 1.7e-81j)
| (0.045910163134053264713 + 1.7389262047982534569e-440j)  +/-  (1.66e-27, 4.25e-82j)
| (0.069139903917100563434 + 1.4784492935078795377e-440j)  +/-  (6.65e-29, 1.7e-83j)
| (0.020888884949556511271 - 3.8113836485633621465e-438j)  +/-  (1.32e-27, 3.36e-82j)
| (0.069139903917100563434 - 1.3455111501146941848e-439j)  +/-  (1.87e-29, 4.77e-84j)
| (0.057833925585301394553 - 8.0336463192530464673e-438j)  +/-  (1.1e-31, 2.82e-86j)
| (0.079435203394056062915 - 1.4961244736042397592e-440j)  +/-  (1.43e-30, 3.66e-85j)
| (0.10338085158711269941 + 2.2563306077345736909e-440j)  +/-  (2.65e-32, 6.77e-87j)
| (0.11486644288044063033 + 1.2933350147029655495e-439j)  +/-  (9.37e-33, 2.4e-87j)
| (0.079435203394056062915 + 9.4728751092147899644e-440j)  +/-  (2.14e-32, 5.48e-87j)
| (0.11254716667767299707 - 7.6260026517262893934e-440j)  +/-  (3.18e-33, 8.13e-88j)
| (0.10870118239338683173 - 3.0476228617025905937e-440j)  +/-  (2.03e-33, 5.19e-88j)
| (0.088646991354088497016 + 1.6064901657489217685e-440j)  +/-  (8.56e-33, 2.19e-87j)
| (0.057833925585301394553 + 8.0204649044248311655e-438j)  +/-  (8.57e-32, 2.19e-86j)
| (0.096663795300084548988 + 6.3125191578101411419e-440j)  +/-  (6.91e-35, 1.77e-89j)
| (0.10338085158711269941 - 5.9281507963137522235e-440j)  +/-  (5.04e-35, 1.29e-89j)
| (0.11486644288044063033 - 1.0243871877857805036e-439j)  +/-  (1.96e-34, 5e-89j)
| (0.096663795300084548988 - 1.836211715977023947e-440j)  +/-  (8.91e-35, 2.28e-89j)
| (0.11254716667767299707 + 4.7688541542351818893e-440j)  +/-  (6.59e-35, 1.68e-89j)
| (0.10870118239338683173 + 6.2139580235790122218e-440j)  +/-  (1.14e-35, 2.95e-90j)
| (0.088646991354088497016 - 7.383452564193617387e-440j)  +/-  (5.26e-36, 1.3e-90j)
