Starting with polynomial:
P : t^15 - 105*t^13 + 4095*t^11 - 75075*t^9 + 675675*t^7 - 2837835*t^5 + 4729725*t^3 - 2027025*t
Extension levels are: 15 24
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P1 : t^15 - 105*t^13 + 4095*t^11 - 75075*t^9 + 675675*t^7 - 2837835*t^5 + 4729725*t^3 - 2027025*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^39 - 62014200483/111167107*t^37 + 77025650239581/555835535*t^35 - 2257924922559929/111167107*t^33 + 218148698929328706/111167107*t^31 - 14704477212467979090/111167107*t^29 + 714057030915372016950/111167107*t^27 - 25440366598298719932942/111167107*t^25 + 671146402218878058996600/111167107*t^23 - 13142470597984303720313400/111167107*t^21 + 190397855634781563033111000/111167107*t^19 - 2022569676220088829642732000/111167107*t^17 + 15519536456522341833643110750/111167107*t^15 - 84109147324145756985286248750/111167107*t^13 + 311717435617452598314897566250/111167107*t^11 - 754023031254233747019995231250/111167107*t^9 + 1111063705148282649675579793125/111167107*t^7 - 895841061297567707935216729125/111167107*t^5 + 329101417712933649800160519375/111167107*t^3 - 36802618766800322253517074375/111167107*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: 0
  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:
| (6.3639478888298383177 + 1.815632321757646164e-412j)  +/-  (1.07e-118, 1.07e-118j)
| (8.4293941258376643365 - 2.530095227481782398e-414j)  +/-  (2.02e-119, 2.02e-119j)
| (-3.7496318937426205266 + 3.2310971682208373865e-412j)  +/-  (1.4e-119, 1.4e-119j)
| (-9.2572736463109917614 - 2.3958632322727211989e-419j)  +/-  (5.19e-120, 5.19e-120j)
| (4.666454983845298747 - 7.9586749460394528505e-419j)  +/-  (5.46e-119, 5.46e-119j)
| (9.2572736463109917614 - 5.8285434413150627002e-422j)  +/-  (5.33e-120, 5.33e-120j)
| (-4.1962077112690156596 - 2.0309519639296256374e-419j)  +/-  (3.15e-119, 3.15e-119j)
| (-7.0051042526630620957 - 7.4143470780560929054e-427j)  +/-  (9.52e-119, 9.52e-119j)
| (-10.253667334790112777 - 1.9448506843265455892e-441j)  +/-  (5.93e-121, 5.93e-121j)
| (7.6887701340597471979 - 7.8631538996612471295e-439j)  +/-  (4.67e-119, 4.67e-119j)
| (3.2890824243987663889 - 3.6065816265003672712e-440j)  +/-  (4.45e-120, 4.45e-120j)
| (2.0428568284821775297 - 1.1816843198518015094e-442j)  +/-  (5.55e-122, 5.55e-122j)
| (-7.6887701340597471979 - 4.4618754168070693691e-439j)  +/-  (5.25e-119, 5.25e-119j)
| (-2.4324368270097580412 - 1.048690358988744874e-445j)  +/-  (2.74e-121, 2.74e-121j)
| (-5.7588360964978930044 - 4.8950641194893994803e-445j)  +/-  (1.06e-118, 1.06e-118j)
| (1.1688877917582013377 + 4.6364653616297061343e-459j)  +/-  (5.95e-124, 5.95e-124j)
| (10.253667334790112777 + 7.3578564346758151101e-455j)  +/-  (5.59e-121, 5.59e-121j)
| (-2.0428568284821775297 - 9.1373864043565982708e-456j)  +/-  (5.02e-122, 5.02e-122j)
| (-2.8355406205869935606 + 4.8621735958812916425e-454j)  +/-  (1.26e-120, 1.26e-120j)
| (2.4324368270097580412 + 3.4217306884715344892e-455j)  +/-  (3.18e-121, 3.18e-121j)
| (-8.4293941258376643365 + 3.6192771580004822953e-452j)  +/-  (2.14e-119, 2.14e-119j)
| (5.1900935913047811995 - 3.3620423599407064677e-454j)  +/-  (8.69e-119, 8.69e-119j)
| (5.7588360964978930044 + 1.5741685424767998406e-455j)  +/-  (1.01e-118, 1.01e-118j)
| (-3.2890824243987663889 + 1.7304498592856689221e-454j)  +/-  (4.43e-120, 4.43e-120j)
| (-1.6067100690287297365 - 2.2203918085684883451e-461j)  +/-  (5.73e-123, 5.73e-123j)
| (4.1962077112690156596 + 2.2836372564546516868e-457j)  +/-  (3.23e-119, 3.23e-119j)
| (0.79912906832454799942 - 3.5623081396602998422e-463j)  +/-  (7.47e-125, 7.47e-125j)
| (3.7496318937426205266 + 2.6228744474739089936e-458j)  +/-  (1.37e-119, 1.37e-119j)
| (-6.3639478888298383177 - 9.0519053697410180325e-457j)  +/-  (1.13e-118, 1.13e-118j)
| (-0.43464474337478678507 + 1.4095694340924437735e-471j)  +/-  (5.69e-126, 5.69e-126j)
| (7.0051042526630620957 + 9.1162921371157257574e-464j)  +/-  (8.46e-119, 8.46e-119j)
| (0.43464474337478678507 - 1.3772380343643030055e-471j)  +/-  (5.69e-126, 5.69e-126j)
| (-2.9030136062554382336e-479 + 3.4691628458996260213e-479j)  +/-  (1.76e-477, 1.76e-477j)
| (-0.79912906832454799942 - 8.2675370281544601668e-470j)  +/-  (7.6e-125, 7.6e-125j)
| (-5.1900935913047811995 - 7.2687718712948083726e-468j)  +/-  (8.62e-119, 8.62e-119j)
| (-1.1688877917582013377 - 2.9305919543785481957e-476j)  +/-  (6.52e-124, 6.52e-124j)
| (1.6067100690287297365 - 1.6715330809401252891e-475j)  +/-  (5.78e-123, 5.78e-123j)
| (2.8355406205869935606 - 8.5165501563568799252e-476j)  +/-  (1.25e-120, 1.25e-120j)
| (-4.666454983845298747 - 1.8330305729556403331e-476j)  +/-  (5.46e-119, 5.46e-119j)
-------------------------------------------------
The weights are:
| (3.987385075332939411e-10 - 4.8840630800554533996e-421j)  +/-  (1.39e-30, 1.61e-88j)
| (1.1535392303784960449e-16 + 7.0925577254895440882e-426j)  +/-  (2.21e-35, 2.57e-93j)
| (0.00015960337732276406239 + 1.5178945620924528094e-415j)  +/-  (1.01e-23, 1.17e-81j)
| (8.7382257498122797709e-20 + 2.8986643835295936021e-427j)  +/-  (1.73e-38, 2.01e-96j)
| (3.7013673939722585426e-06 + 2.9924657111435502028e-418j)  +/-  (2.79e-27, 3.23e-85j)
| (8.7382257498122797709e-20 - 1.0100155033826535749e-427j)  +/-  (2.12e-37, 2.45e-95j)
| (2.6903913671232732736e-05 + 2.7232440102845877392e-416j)  +/-  (1.81e-26, 2.1e-84j)
| (5.824106452341604572e-12 - 3.043063452951971476e-422j)  +/-  (9.72e-35, 1.13e-92j)
| (6.772757518504562879e-24 - 1.048855836925566242e-429j)  +/-  (7.89e-41, 9.14e-99j)
| (4.1146548220033784888e-14 - 2.350764403004528414e-424j)  +/-  (1.45e-35, 1.68e-93j)
| (0.00082961031438885998609 - 3.0089303850452814143e-416j)  +/-  (1.08e-25, 1.25e-83j)
| (0.020476813532727168127 + 6.5737771185472403313e-415j)  +/-  (1.86e-20, 2.16e-78j)
| (4.1146548220033784888e-14 + 1.0598074101856218365e-423j)  +/-  (1.54e-36, 1.79e-94j)
| (0.0078542723602113975499 - 1.4138709504102740205e-414j)  +/-  (6.57e-24, 7.61e-82j)
| (1.4739810500681308385e-08 - 1.1372373734809637317e-419j)  +/-  (2.34e-33, 2.71e-91j)
| (0.083116269952533007186 + 2.6466210389463987412e-414j)  +/-  (7.99e-18, 9.26e-76j)
| (6.772757518504562879e-24 + 4.2022453190125150367e-430j)  +/-  (4.03e-42, 4.67e-100j)
| (0.020476813532727168127 + 2.1298683079392578019e-414j)  +/-  (4.37e-23, 5.06e-81j)
| (0.0031033518259268710789 + 7.5223083001804202646e-415j)  +/-  (8.07e-26, 9.35e-84j)
| (0.0078542723602113975499 - 3.1918369869355495138e-415j)  +/-  (1.42e-25, 1.64e-83j)
| (1.1535392303784960449e-16 - 2.4222904022023000451e-425j)  +/-  (2.45e-38, 2.83e-96j)
| (3.0951755662423516609e-07 - 3.666306531186696273e-419j)  +/-  (3.15e-33, 3.64e-91j)
| (1.4739810500681308385e-08 + 4.0211471048696350309e-420j)  +/-  (2.15e-34, 2.5e-92j)
| (0.00082961031438885998609 - 4.2027605584363557751e-415j)  +/-  (3.01e-29, 3.49e-87j)
| (0.049267535980929746331 - 3.0507245652114910487e-414j)  +/-  (1.38e-25, 1.6e-83j)
| (2.6903913671232732736e-05 - 1.7699223466419757531e-417j)  +/-  (6.15e-32, 7.13e-90j)
| (0.098231944955020205513 - 4.419883363923415246e-414j)  +/-  (5.36e-26, 6.24e-84j)
| (0.00015960337732276406239 + 7.7072328731631030719e-417j)  +/-  (2.88e-31, 3.33e-89j)
| (3.987385075332939411e-10 + 6.5196863431038189326e-421j)  +/-  (4.57e-37, 5.28e-95j)
| (0.14747839261418247087 + 6.417215953216595985e-414j)  +/-  (2.43e-27, 2.9e-85j)
| (5.824106452341604572e-12 + 2.7335083025414619349e-423j)  +/-  (8.38e-38, 9.78e-96j)
| (0.14747839261418247087 + 5.1297817629723474308e-414j)  +/-  (2.78e-27, 3.32e-85j)
| (0.17890255028744260682 - 5.3293356711022323427e-414j)  +/-  (1.98e-27, 2.36e-85j)
| (0.098231944955020205513 - 6.7016064165669973768e-414j)  +/-  (2.02e-28, 2.4e-86j)
| (3.0951755662423516609e-07 + 1.7138268087006503387e-418j)  +/-  (1.97e-35, 2.28e-93j)
| (0.083116269952533007186 + 4.920664291136163153e-414j)  +/-  (2.73e-29, 3.44e-87j)
| (0.049267535980929746331 - 1.2640657104341900314e-414j)  +/-  (2.96e-30, 3.71e-88j)
| (0.0031033518259268710789 + 1.1215444726237064238e-415j)  +/-  (1.06e-31, 1.35e-89j)
| (3.7013673939722585426e-06 - 2.2645657813002411975e-417j)  +/-  (1.5e-34, 1.7e-92j)
