Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 8 10
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P2 : 5/2*t^11 - 10483/1482*t^9 + 1617/221*t^7 - 69993/20995*t^5 + 68299/109174*t^3 - 3633/109174*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^21 - 54418441/4226664*t^19 + 919573982789/32356670112*t^17 - 2859045169344287/81424608670080*t^15 + 1397236827764554824509/52528838964302817792*t^13 - 439898293384487743629047/34572057398351916079104*t^11 + 1978358763710679622079863/518580860975278741186560*t^9 - 28936702776416257135159/42106992985172205480960*t^7 + 3157695912956870583506747/46528227248615287056460800*t^5 - 8927475025208916680119/2938624878859912866723840*t^3 + 9240863468472883881557/241946781692799492693596160*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:
| (0.95521895685204993832 + 5.1229376701387722655e-254j)  +/-  (7.28e-121, 7.28e-121j)
| (0.9225217132136291628 - 2.556537985966903156e-253j)  +/-  (7.48e-121, 7.48e-121j)
| (0.99079325588510780584 + 5.3937773296308075349e-254j)  +/-  (1.83e-121, 1.83e-121j)
| (0.86843936719282485836 - 1.9884422766398584745e-253j)  +/-  (3.63e-121, 3.63e-121j)
| (0.77459666924148337704 + 6.0753010409101281944e-254j)  +/-  (6.9e-122, 6.9e-122j)
| (-0.99079325588510780584 + 9.4267526160867487838e-253j)  +/-  (1.77e-121, 1.77e-121j)
| (-0.9225217132136291628 - 3.6533051640680497579e-252j)  +/-  (8.12e-121, 8.12e-121j)
| (-0.43759791354037044397 + 7.1297764260128165603e-256j)  +/-  (2.75e-124, 2.75e-124j)
| (0.66543348592151387265 - 7.9136722294147499086e-262j)  +/-  (1.37e-122, 1.37e-122j)
| (-0.86843936719282485836 + 3.6813576111401533944e-259j)  +/-  (3e-121, 3e-121j)
| (-0.77459666924148337704 - 1.3535954772478311651e-261j)  +/-  (7.22e-122, 7.22e-122j)
| (0.55806685067819680295 - 1.3801960024696060488e-266j)  +/-  (2.51e-123, 2.51e-123j)
| (0.14024937522154484466 + 4.6005586973904601541e-266j)  +/-  (7e-127, 7e-127j)
| (-0.55806685067819680295 - 1.2768328249499304968e-278j)  +/-  (2.44e-123, 2.44e-123j)
| (9.8250361296243984272e-303 + 1.214623317881911091e-302j)  +/-  (3.28e-301, 3.28e-301j)
| (-0.14024937522154484466 + 2.4028650036779451383e-325j)  +/-  (7e-127, 7e-127j)
| (0.43759791354037044397 + 1.054744013323745294e-333j)  +/-  (2.43e-124, 2.43e-124j)
| (-0.95521895685204993832 + 1.7293492072860872384e-334j)  +/-  (7.78e-121, 7.78e-121j)
| (-0.66543348592151387265 + 7.4031104548390062885e-352j)  +/-  (1.38e-122, 1.38e-122j)
| (-0.2919991541426287378 + 3.175242931516145332e-367j)  +/-  (1.57e-125, 1.57e-125j)
| (0.2919991541426287378 - 1.9786547966326406651e-376j)  +/-  (1.7e-125, 1.7e-125j)
-------------------------------------------------
The weights are:
| (0.042607532097850023428 + 1.1054533275156389201e-253j)  +/-  (8.65e-39, 8.79e-97j)
| (0.028902560435942232232 + 3.1342540810102904803e-253j)  +/-  (5.65e-39, 5.74e-97j)
| (0.023365053138681827182 - 9.0059167825656625433e-254j)  +/-  (1.6e-39, 1.63e-97j)
| (0.079443331397121600372 - 3.0510362975425086403e-253j)  +/-  (1.17e-39, 1.19e-97j)
| (0.10482572278578944236 - 8.596599662545624364e-254j)  +/-  (2.2e-40, 2.23e-98j)
| (0.023365053138681827182 + 1.7236148126088132135e-252j)  +/-  (1.33e-42, 1.36e-100j)
| (0.028902560435942232232 + 4.0547238134003748926e-252j)  +/-  (8.66e-43, 8.8e-101j)
| (0.13493383250873895951 - 4.2906891185672556379e-253j)  +/-  (2.8e-43, 2.85e-101j)
| (0.10978370015297045693 + 6.0133905992045131018e-254j)  +/-  (1.04e-41, 1.06e-99j)
| (0.079443331397121600372 - 2.5516714576237707396e-253j)  +/-  (3.71e-43, 3.76e-101j)
| (0.10482572278578944236 + 5.2997299597273913691e-253j)  +/-  (1.58e-43, 1.6e-101j)
| (0.10839013660872430512 + 3.1285381874174280465e-254j)  +/-  (5.5e-43, 5.58e-101j)
| (0.14739953649888168772 - 1.9435510064919250017e-253j)  +/-  (1.54e-44, 1.57e-102j)
| (0.10839013660872430512 + 5.4862841349207754815e-253j)  +/-  (8.65e-45, 8.79e-103j)
| (0.13566059239186290083 + 2.6154941022582267292e-253j)  +/-  (5.24e-45, 5.32e-103j)
| (0.14739953649888168772 - 2.9302507441170171212e-253j)  +/-  (2.6e-45, 2.65e-103j)
| (0.13493383250873895951 - 8.7805669155123241892e-254j)  +/-  (4.4e-45, 4.47e-103j)
| (0.042607532097850023428 - 5.7881797227679396653e-252j)  +/-  (7.19e-46, 7.33e-104j)
| (0.10978370015297045693 - 5.6135115108466995848e-253j)  +/-  (6.85e-46, 6.99e-104j)
| (0.15251829817936801472 + 3.2549003365109430668e-253j)  +/-  (4.63e-46, 4.74e-104j)
| (0.15251829817936801472 + 1.3071206182335932659e-253j)  +/-  (3.19e-46, 3.08e-104j)
