Starting with polynomial:
P : t^6 - 15*t^4 + 45*t^2 - 15
Extension levels are: 6 30
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Trying to find an order 30 Kronrod extension for:
P1 : t^6 - 15*t^4 + 45*t^2 - 15
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^36 - 2656452308215196570215635/4977785708490330089042*t^34 + 625640165232806891941277085/4977785708490330089042*t^32 - 172027226690063622239443368945/9955571416980660178084*t^30 + 15391729136310544717591922053875/9955571416980660178084*t^28 - 72786415058495527276892764988235/765813185921589244468*t^26 + 3165176191261639109995471976020125/765813185921589244468*t^24 - 98795812568849147272809378441227625/765813185921589244468*t^22 + 2224289382915994064949739918865128875/765813185921589244468*t^20 - 1895942383864188837719148376050290625/40305957153767854972*t^18 + 21879332220218868759292261099503573375/40305957153767854972*t^16 - 177001108207600483457380738004604733125/40305957153767854972*t^14 + 979752939817725556365996556823894889375/40305957153767854972*t^12 - 3583217614676060125820730780642238576875/40305957153767854972*t^10 + 8218734850027817475251502850482658078125/40305957153767854972*t^8 - 10862590858832592833964209830320808820625/40305957153767854972*t^6 + 7080913132669906868124047827249262184375/40305957153767854972*t^4 - 1622514288489944788399913056132416590625/40305957153767854972*t^2 + 44214631502094292917589239503860059375/40305957153767854972
-------------------------------------------------
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
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (7.6667478118862333285 + 1.395574031610039598e-542j)  +/-  (4.43e-247, 4.43e-247j)
| (9.2586168153840559991 - 2.0745664426452165063e-544j)  +/-  (6.42e-248, 6.42e-248j)
| (3.3242574335521189524 + 2.0061715868395783171e-544j)  +/-  (1.29e-248, 1.29e-248j)
| (3.8912250579016701766 - 9.6879856325681504652e-544j)  +/-  (4.7e-248, 4.7e-248j)
| (10.265084236977428334 + 5.094245179829814256e-545j)  +/-  (7.3e-249, 7.3e-249j)
| (5.6742125335530936593 + 5.7572344032692360633e-543j)  +/-  (4.76e-247, 4.76e-247j)
| (5.0635108637099665308 - 2.8144631763232155193e-543j)  +/-  (2.57e-247, 2.57e-247j)
| (8.4199086740013883336 - 1.2171854175212916469e-542j)  +/-  (2.2e-247, 2.2e-247j)
| (6.9677767464651756115 - 3.3476450822905695208e-543j)  +/-  (6.23e-247, 6.23e-247j)
| (4.4702517791232717885 + 4.9252180661247174739e-543j)  +/-  (1.31e-247, 1.31e-247j)
| (6.30683402387570856 + 1.1106688544958912991e-543j)  +/-  (6.32e-247, 6.32e-247j)
| (-10.265084236977428334 + 1.1171314844501061971e-541j)  +/-  (7.48e-249, 7.48e-249j)
| (-7.6667478118862333285 + 2.6668960767684191632e-543j)  +/-  (4.52e-247, 4.52e-247j)
| (-6.30683402387570856 + 5.4270495242884202324e-557j)  +/-  (5.87e-247, 5.87e-247j)
| (2.231385783129405522 + 1.0573317700028679461e-572j)  +/-  (1.2e-249, 1.2e-249j)
| (-1.6337299285208447808 - 3.6235532312988426377e-573j)  +/-  (1.39e-250, 1.39e-250j)
| (1.6337299285208447808 - 1.2513351457237826626e-573j)  +/-  (1.46e-250, 1.46e-250j)
| (-9.2586168153840559991 - 1.0653439442832597523e-569j)  +/-  (6.34e-248, 6.34e-248j)
| (-2.231385783129405522 - 3.1728387019697953021e-577j)  +/-  (1.22e-249, 1.22e-249j)
| (-1.8891758777537106755 - 8.307018692311770438e-582j)  +/-  (5.37e-250, 5.37e-250j)
| (2.7686800913952005264 - 7.9600299525481054274e-583j)  +/-  (3.43e-249, 3.43e-249j)
| (-6.9677767464651756115 + 8.1825005783691831328e-601j)  +/-  (6.32e-247, 6.32e-247j)
| (-8.4199086740013883336 + 1.179737026973128102e-641j)  +/-  (2.33e-247, 2.33e-247j)
| (0.61670659019259415219 - 1.0473785257532645479e-678j)  +/-  (2.82e-253, 2.82e-253j)
| (-5.6742125335530936593 + 8.6057906058283339002e-723j)  +/-  (5.11e-247, 5.11e-247j)
| (-5.0635108637099665308 + 9.5102812218090228145e-753j)  +/-  (2.47e-247, 2.47e-247j)
| (-2.7686800913952005264 - 1.1266762649162956168e-767j)  +/-  (3.3e-249, 3.3e-249j)
| (-4.4702517791232717885 - 4.2067793278944526878e-777j)  +/-  (1.31e-247, 1.31e-247j)
| (1.1233246745297718697 - 1.0288547263287390584e-787j)  +/-  (4.67e-252, 4.67e-252j)
| (0.17701548425572681265 - 4.1332666021889664085e-790j)  +/-  (2.16e-254, 2.16e-254j)
| (-3.3242574335521189524 + 5.6414317060161539347e-783j)  +/-  (1.21e-248, 1.21e-248j)
| (-0.61670659019259415219 + 2.4088008434562084197e-792j)  +/-  (2.82e-253, 2.82e-253j)
| (-3.8912250579016701766 + 7.6367655888754826649e-786j)  +/-  (4.69e-248, 4.69e-248j)
| (1.8891758777537106755 - 1.1924483382406445896e-794j)  +/-  (5.26e-250, 5.26e-250j)
| (-1.1233246745297718697 - 1.4334918348705241933e-796j)  +/-  (5.05e-252, 5.05e-252j)
| (-0.17701548425572681265 - 2.272142862581411975e-799j)  +/-  (1.54e-254, 1.54e-254j)
-------------------------------------------------
The weights are:
| (4.9668821927453803844e-14 - 3.6972435588055530004e-553j)  +/-  (5.02e-79, 2.04e-201j)
| (8.7298019793022277182e-20 - 1.7894621461903268829e-556j)  +/-  (4.7e-82, 1.91e-204j)
| (0.00089233456307558648414 - 2.979314162008294564e-546j)  +/-  (6.25e-68, 2.54e-190j)
| (0.00011773135778576591735 + 8.2487638697572600674e-547j)  +/-  (3.37e-70, 1.37e-192j)
| (6.0775295615608427965e-24 + 8.9729280211666325924e-559j)  +/-  (2.41e-84, 9.79e-207j)
| (2.5259779302299704362e-08 + 1.210934572698513497e-549j)  +/-  (3.98e-76, 1.62e-198j)
| (6.4948811481593396682e-07 - 1.041839984859107305e-548j)  +/-  (8.61e-75, 3.5e-197j)
| (1.2680500095788260641e-16 + 1.1118013542081295109e-554j)  +/-  (1.23e-81, 5e-204j)
| (7.7558698845598024076e-12 + 8.2149779408270164377e-552j)  +/-  (2.7e-79, 1.1e-201j)
| (1.0697828679593630414e-05 - 1.3993890730240956868e-547j)  +/-  (9.6e-75, 3.9e-197j)
| (5.9364428026889009243e-10 - 1.4526658826125139954e-550j)  +/-  (3.39e-78, 1.38e-200j)
| (6.0775295615608427965e-24 + 3.5623135686218618508e-559j)  +/-  (2.08e-93, 8.46e-216j)
| (4.9668821927453803844e-14 - 9.5953773439105045855e-554j)  +/-  (6.9e-90, 2.8e-212j)
| (5.9364428026889009243e-10 - 2.2007770102097412758e-551j)  +/-  (5.28e-88, 2.15e-210j)
| (0.017032994484512657196 - 4.1420025145925678486e-545j)  +/-  (7.67e-75, 3.12e-197j)
| (0.04996949041054636751 + 5.3482251251326088428e-545j)  +/-  (6.66e-75, 2.71e-197j)
| (0.04996949041054636751 - 1.2023196333209855286e-544j)  +/-  (2.57e-73, 1.05e-195j)
| (8.7298019793022277182e-20 - 6.2992374321277746736e-557j)  +/-  (1.31e-92, 5.3e-215j)
| (0.017032994484512657196 + 1.2760698773598717539e-545j)  +/-  (9.73e-79, 3.95e-201j)
| (0.0081588709693089699976 - 4.3420550955219764784e-545j)  +/-  (4.74e-77, 1.92e-199j)
| (0.0047435070927978216097 + 9.2039264438828270723e-546j)  +/-  (1.66e-77, 6.73e-200j)
| (7.7558698845598024076e-12 + 1.7252841889229684686e-552j)  +/-  (1.92e-89, 7.8e-212j)
| (1.2680500095788260641e-16 + 3.4348033104147907636e-555j)  +/-  (1.11e-91, 4.49e-214j)
| (0.16069647755881752281 - 1.0535292902799934488e-544j)  +/-  (9.94e-79, 4.04e-201j)
| (2.5259779302299704362e-08 + 2.1442349121600436794e-550j)  +/-  (1.96e-88, 7.98e-211j)
| (6.4948811481593396682e-07 - 1.6811983650185836335e-549j)  +/-  (3.71e-88, 1.51e-210j)
| (0.0047435070927978216097 - 1.832561511685768763e-546j)  +/-  (6.27e-85, 2.55e-207j)
| (1.0697828679593630414e-05 + 1.107217669282307318e-548j)  +/-  (4.81e-88, 1.95e-210j)
| (0.10991274520792848252 + 8.5202226212697720411e-545j)  +/-  (4.53e-83, 1.84e-205j)
| (0.14846447517720316822 + 1.4262034895552446324e-544j)  +/-  (7.61e-83, 3.08e-205j)
| (0.00089233456307558648414 + 3.4023804329922332321e-547j)  +/-  (6.75e-87, 2.74e-209j)
| (0.16069647755881752281 + 7.8781983446433626512e-545j)  +/-  (1.73e-84, 6.92e-207j)
| (0.00011773135778576591735 - 6.3880042632921930751e-548j)  +/-  (1.17e-87, 4.77e-210j)
| (0.0081588709693089699976 + 1.1319209231287800519e-544j)  +/-  (1.61e-84, 6.59e-207j)
| (0.10991274520792848252 - 4.9684960530638026198e-545j)  +/-  (7.31e-85, 2.89e-207j)
| (0.14846447517720316822 - 1.3128275836218653249e-544j)  +/-  (1.59e-84, 6.21e-207j)
