Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4 10 13
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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
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Trying to find an order 13 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^27 - 25463155296244159533708703496435305/872318580442745751302365540738472*t^25 + 11201316710374758769017160705602021655/129405106337218090875893226562626404*t^23 - 78658080889032339275458468028893361995/523246734320055758759046524796706764*t^21 + 79161987505360064407895215315193193591069/466785920035805932599617980740071643656*t^19 - 547381838910741180015872698980194837866771/4201073280322253393396561826660644792904*t^17 + 4523096579422299782897414858717676553151646683/65075139949603509261432521685393321744631110*t^15 - 65384715421642538685684225887984216097858443371/2537930458034536861195868345730339548040613290*t^13 + 1147980121492249039555797906777438712934753096021/175702877863929475005867808550561968710503997000*t^11 - 689147244240902283696906725639079019565115219439/628625851913169899465438159480899488053136522600*t^9 + 5152508219481989599736610491357899671558039557/44901846565226421390388439962921392003795465900*t^7 - 753454964188307932206797368578493745604321901/111278489313822000837049612082022580183319198100*t^5 + 26089294085476527357993851437189505475407901/140128468024812889942951363362546952823438990200*t^3 - 9570174998262527888503613913866400471925279/6305781061116580047432811351314612877054754559000*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:
| (0.99444997880691468328 - 1.2388701314156689539e-411j)  +/-  (2.91e-119, 2.91e-119j)
| (0.23013325164383649911 + 4.6279993188084401805e-416j)  +/-  (1.82e-125, 1.82e-125j)
| (-0.91858735415189220887 + 3.5642888135339730838e-409j)  +/-  (8.47e-119, 8.47e-119j)
| (0.91858735415189220887 - 5.5052043293802595842e-417j)  +/-  (8.05e-119, 8.05e-119j)
| (0.95280406968027788258 - 2.4179489570970709272e-417j)  +/-  (1.57e-118, 1.57e-118j)
| (0.97328666401428714307 + 3.5009693188702432521e-418j)  +/-  (1.1e-118, 1.1e-118j)
| (-0.3399810435848562648 + 1.3888366560022771579e-423j)  +/-  (3.24e-124, 3.24e-124j)
| (-0.86113631159405257522 + 2.7246677636019538101e-416j)  +/-  (2.85e-119, 2.85e-119j)
| (-0.97328666401428714307 + 1.8186900806928446028e-424j)  +/-  (1.14e-118, 1.14e-118j)
| (4.9055232455486885611e-450 - 1.9966336319792243221e-450j)  +/-  (1.43e-448, 1.43e-448j)
| (0.86113631159405257522 - 9.3329061936314447103e-447j)  +/-  (2.56e-119, 2.56e-119j)
| (-0.99444997880691468328 - 1.1924885510887795054e-444j)  +/-  (2.81e-119, 2.81e-119j)
| (-0.95280406968027788258 - 1.6595974680297992614e-458j)  +/-  (1.51e-118, 1.51e-118j)
| (-0.79371165497916165537 + 1.9423752186355404252e-469j)  +/-  (8.48e-120, 8.48e-120j)
| (0.11539569344883949077 - 1.2409993968653565379e-479j)  +/-  (9.39e-127, 9.39e-127j)
| (0.79371165497916165537 - 1.3072601208246079472e-471j)  +/-  (8.91e-120, 8.91e-120j)
| (0.44433894063090754865 - 3.3746285489745950036e-475j)  +/-  (4.07e-123, 4.07e-123j)
| (0.72317255923281838433 + 4.4391603254781081982e-472j)  +/-  (2.29e-120, 2.29e-120j)
| (-0.72317255923281838433 + 6.671875968613304975e-474j)  +/-  (2.33e-120, 2.33e-120j)
| (-0.44433894063090754865 - 2.2855077899578791328e-478j)  +/-  (3.57e-123, 3.57e-123j)
| (0.3399810435848562648 - 2.7965868179152721685e-478j)  +/-  (3.17e-124, 3.17e-124j)
| (0.64183908305917831016 - 9.3831865889459888742e-476j)  +/-  (3.8e-121, 3.8e-121j)
| (-0.11539569344883949077 - 1.0037863312694593894e-483j)  +/-  (6.95e-127, 6.95e-127j)
| (-0.54627694908708365616 + 1.5993443032192033298e-476j)  +/-  (4.04e-122, 4.04e-122j)
| (-0.64183908305917831016 - 1.1373527831320673293e-478j)  +/-  (3.81e-121, 3.81e-121j)
| (-0.23013325164383649911 - 1.2922195973526972578e-482j)  +/-  (1.65e-125, 1.65e-125j)
| (0.54627694908708365616 + 1.003838400858877691e-478j)  +/-  (3.9e-122, 3.9e-122j)
-------------------------------------------------
The weights are:
| (0.01406080812299583765 + 1.3562582687600067956e-411j)  +/-  (4.51e-33, 7.74e-90j)
| (0.11301627625797751645 + 3.4717864027162519537e-410j)  +/-  (7.15e-34, 1.23e-90j)
| (0.048661793929127972269 - 1.3298217160472155351e-409j)  +/-  (1.96e-34, 3.37e-91j)
| (0.048661793929127972269 + 6.646558534607609066e-411j)  +/-  (1.46e-33, 2.51e-90j)
| (0.019845888561042336128 - 4.0257258685814512568e-411j)  +/-  (1.1e-33, 1.88e-90j)
| (0.025010742499462933497 - 4.3565744595716225958e-412j)  +/-  (1.03e-33, 1.77e-90j)
| (0.10653753048374078248 - 6.8462928849894674715e-410j)  +/-  (1.45e-36, 2.5e-93j)
| (0.064227855846930751964 - 3.2037256315507905755e-409j)  +/-  (4.1e-36, 7.04e-93j)
| (0.025010742499462933497 - 1.6284807613021869871e-409j)  +/-  (7.93e-37, 1.36e-93j)
| (0.11521159412020172962 + 4.460380416856497519e-410j)  +/-  (2.83e-37, 4.87e-94j)
| (0.064227855846930751964 - 8.6578026323432821927e-411j)  +/-  (2.76e-36, 4.73e-93j)
| (0.01406080812299583765 + 1.8796376091583120367e-410j)  +/-  (1.7e-37, 2.91e-94j)
| (0.019845888561042336128 + 4.8851551101457868272e-409j)  +/-  (9.01e-37, 1.55e-93j)
| (0.069075720521207915549 + 1.974459047624439732e-409j)  +/-  (3.75e-38, 6.45e-95j)
| (0.11557256803268538963 - 3.9142456653040637026e-410j)  +/-  (3.65e-38, 6.27e-95j)
| (0.069075720521207915549 + 1.2909317566334314927e-410j)  +/-  (1.72e-38, 2.95e-95j)
| (0.10299422629428202771 + 2.6301826211674432724e-410j)  +/-  (1.39e-39, 2.39e-96j)
| (0.073879013606200682959 - 1.7143542354181934201e-410j)  +/-  (4.16e-39, 7.14e-96j)
| (0.073879013606200682959 - 1.5531782226394583853e-409j)  +/-  (5.11e-40, 8.79e-97j)
| (0.10299422629428202771 + 7.7634113280886735351e-410j)  +/-  (1.39e-40, 2.4e-97j)
| (0.10653753048374078248 - 3.0898758876609133065e-410j)  +/-  (5.67e-40, 9.72e-97j)
| (0.089384740909698402662 + 1.9402790161825711569e-410j)  +/-  (1.63e-40, 2.79e-97j)
| (0.11557256803268538963 - 5.0672575233703891624e-410j)  +/-  (1.13e-40, 1.96e-97j)
| (0.10012703787454658625 - 8.9493141880131655008e-410j)  +/-  (2.63e-41, 4.52e-98j)
| (0.089384740909698402662 + 1.15417571342031076e-409j)  +/-  (2.62e-41, 4.5e-98j)
| (0.11301627625797751645 + 5.8607007161431962881e-410j)  +/-  (2.16e-41, 3.76e-98j)
| (0.10012703787454658625 - 2.1901679643476150677e-410j)  +/-  (1.28e-41, 2e-98j)
