Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 30
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Trying to find an order 30 Kronrod extension for:
P1 : 64*t^6 - 480*t^4 + 720*t^2 - 120
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 64*t^36 - 42503236931443145123450160/2488892854245165044521*t^34 + 5005121321862455135530216680/2488892854245165044521*t^32 - 344054453380127244478886737890/2488892854245165044521*t^30 + 15391729136310544717591922053875/2488892854245165044521*t^28 - 72786415058495527276892764988235/382906592960794622234*t^26 + 3165176191261639109995471976020125/765813185921589244468*t^24 - 98795812568849147272809378441227625/1531626371843178488936*t^22 + 2224289382915994064949739918865128875/3063252743686356977872*t^20 - 1895942383864188837719148376050290625/322447657230142839776*t^18 + 21879332220218868759292261099503573375/644895314460285679552*t^16 - 177001108207600483457380738004604733125/1289790628920571359104*t^14 + 979752939817725556365996556823894889375/2579581257841142718208*t^12 - 3583217614676060125820730780642238576875/5159162515682285436416*t^10 + 8218734850027817475251502850482658078125/10318325031364570872832*t^8 - 10862590858832592833964209830320808820625/20636650062729141745664*t^6 + 7080913132669906868124047827249262184375/41273300125458283491328*t^4 - 1622514288489944788399913056132416590625/82546600250916566982656*t^2 + 44214631502094292917589239503860059375/165093200501833133965312
-------------------------------------------------
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:
| (-7.2585106734178765708 - 2.9897320183259004472e-431j)  +/-  (2.14e-121, 2.14e-121j)
| (2.3506049736744922228 - 6.0455825236900061848e-430j)  +/-  (3.89e-121, 3.89e-121j)
| (-4.9269621872194649579 - 5.7571028421766714463e-429j)  +/-  (1.86e-119, 1.86e-119j)
| (2.7515116255652870145 - 6.8684871477339836064e-429j)  +/-  (1.33e-120, 1.33e-120j)
| (-5.4212093674318808116 - 2.458216275100897988e-430j)  +/-  (1.41e-119, 1.41e-119j)
| (4.4596051061005536979 - 8.2677512482713596479e-429j)  +/-  (1.77e-119, 1.77e-119j)
| (5.9537745203578132129 + 2.2267264593849243053e-435j)  +/-  (6.92e-120, 6.92e-120j)
| (-6.5468307345658631625 - 1.205850997033499689e-439j)  +/-  (1.9e-120, 1.9e-120j)
| (6.5468307345658631625 + 3.563582929637672479e-438j)  +/-  (1.84e-120, 1.84e-120j)
| (5.4212093674318808116 + 4.0565618360974510035e-440j)  +/-  (1.47e-119, 1.47e-119j)
| (-4.0122741603690928511 + 1.1941338128397924474e-445j)  +/-  (1.46e-119, 1.46e-119j)
| (7.2585106734178765708 - 3.1746920226745431832e-448j)  +/-  (2.27e-121, 2.27e-121j)
| (-1.3358490740136969497 + 3.4503406153697204777e-450j)  +/-  (1.6e-122, 1.6e-122j)
| (0.12516884929224496768 - 6.4354263732583696969e-454j)  +/-  (5.77e-127, 5.77e-127j)
| (1.5778280186940575389 - 2.9577191555934916256e-447j)  +/-  (3.29e-122, 3.29e-122j)
| (-0.12516884929224496768 + 1.5468552700293368054e-454j)  +/-  (5.77e-127, 5.77e-127j)
| (-5.9537745203578132129 - 2.4297680484024125612e-452j)  +/-  (6.49e-120, 6.49e-120j)
| (3.5804428683410695676 - 4.1106104127158467592e-454j)  +/-  (8.11e-120, 8.11e-120j)
| (-0.79431049483417311259 - 6.8428718446452976109e-471j)  +/-  (1.4e-124, 1.4e-124j)
| (4.9269621872194649579 + 4.228389021965231113e-465j)  +/-  (1.78e-119, 1.78e-119j)
| (4.0122741603690928511 - 2.7013742058279166411e-477j)  +/-  (1.39e-119, 1.39e-119j)
| (1.1552215110845029181 + 6.1581370379757135009e-490j)  +/-  (3.97e-123, 3.97e-123j)
| (1.95775246756173646 + 1.0241851093506170268e-487j)  +/-  (1.15e-121, 1.15e-121j)
| (-4.4596051061005536979 + 2.0649487342533514051e-484j)  +/-  (1.8e-119, 1.8e-119j)
| (-1.5778280186940575389 - 2.5805008432892687825e-488j)  +/-  (4e-122, 4e-122j)
| (-3.1609453466292941194 - 2.8614619118256366285e-486j)  +/-  (3.42e-120, 3.42e-120j)
| (0.43607741192761650868 - 2.0351031790283510161e-494j)  +/-  (8.3e-126, 8.3e-126j)
| (3.1609453466292941194 - 3.4847008496617031582e-489j)  +/-  (3.65e-120, 3.65e-120j)
| (-3.5804428683410695676 + 4.1490140504127786564e-491j)  +/-  (6.88e-120, 6.88e-120j)
| (-0.43607741192761650868 - 1.0145897338153049727e-497j)  +/-  (8.3e-126, 8.3e-126j)
| (-2.3506049736744922228 - 8.0763461414390495679e-493j)  +/-  (3.83e-121, 3.83e-121j)
| (1.3358490740136969497 + 9.9008857802065623365e-494j)  +/-  (1.66e-122, 1.66e-122j)
| (0.79431049483417311259 + 7.9017058803213226109e-497j)  +/-  (1.53e-124, 1.53e-124j)
| (-1.95775246756173646 + 4.3002261485968245414e-494j)  +/-  (1.09e-121, 1.09e-121j)
| (-2.7515116255652870145 - 2.0739482315387316982e-496j)  +/-  (1.29e-120, 1.29e-120j)
| (-1.1552215110845029181 - 3.5963891079664198615e-498j)  +/-  (3.99e-123, 3.99e-123j)
-------------------------------------------------
The weights are:
| (6.0775295615608427965e-24 + 7.005212598308114833e-445j)  +/-  (9.4e-36, 3.11e-94j)
| (0.00089233456307558648414 - 7.8617042708997384852e-432j)  +/-  (1.76e-19, 5.83e-78j)
| (7.7558698845598024076e-12 + 3.1526151151344939972e-438j)  +/-  (2.68e-30, 8.86e-89j)
| (0.00011773135778576591735 + 3.5581601955654416318e-432j)  +/-  (2.71e-22, 8.95e-81j)
| (4.9668821927453803844e-14 - 1.9497773000145687575e-439j)  +/-  (1.04e-31, 3.45e-90j)
| (5.9364428026889009243e-10 - 1.6272100521994893814e-436j)  +/-  (2.91e-30, 9.63e-89j)
| (1.2680500095788260641e-16 + 1.9103888825069624451e-440j)  +/-  (5.52e-35, 1.82e-93j)
| (8.7298019793022277182e-20 - 1.2436091482034250544e-442j)  +/-  (4.62e-36, 1.53e-94j)
| (8.7298019793022277182e-20 - 3.1305687852328344688e-442j)  +/-  (9.01e-37, 2.98e-95j)
| (4.9668821927453803844e-14 - 6.1456926969564034364e-439j)  +/-  (4.39e-34, 1.45e-92j)
| (2.5259779302299704362e-08 + 4.1845240420908109154e-436j)  +/-  (2.96e-32, 9.79e-91j)
| (6.0775295615608427965e-24 + 1.5932492249933603867e-444j)  +/-  (5.39e-39, 1.78e-97j)
| (0.0081588709693089699976 - 8.7342696181176203862e-431j)  +/-  (4.02e-22, 1.33e-80j)
| (0.14846447517720316822 + 2.9380428518604509449e-430j)  +/-  (1.38e-21, 4.55e-80j)
| (0.017032994484512657196 - 8.7971404198716795552e-431j)  +/-  (5.05e-23, 1.67e-81j)
| (0.14846447517720316822 - 2.6906653781480124143e-430j)  +/-  (9.18e-22, 3.04e-80j)
| (1.2680500095788260641e-16 + 6.8173251310037771989e-441j)  +/-  (3.42e-36, 1.13e-94j)
| (6.4948811481593396682e-07 - 2.6301198368321351396e-434j)  +/-  (1.23e-30, 4.08e-89j)
| (0.10991274520792848252 - 1.0067888980012249511e-430j)  +/-  (3.69e-24, 1.22e-82j)
| (7.7558698845598024076e-12 + 1.3120659523605039782e-437j)  +/-  (1.19e-33, 3.95e-92j)
| (2.5259779302299704362e-08 + 2.2524225118871659075e-435j)  +/-  (1.02e-31, 3.39e-90j)
| (0.04996949041054636751 - 2.5421629037461387486e-430j)  +/-  (1.34e-24, 4.43e-83j)
| (0.0047435070927978216097 + 1.8480044580541769393e-431j)  +/-  (6.6e-27, 2.18e-85j)
| (5.9364428026889009243e-10 - 4.2278327488250955637e-437j)  +/-  (1.72e-35, 5.7e-94j)
| (0.017032994484512657196 + 2.5594941381246861528e-431j)  +/-  (5.19e-29, 1.72e-87j)
| (1.0697828679593630414e-05 + 2.1854878377371654264e-434j)  +/-  (3.62e-34, 1.2e-92j)
| (0.16069647755881752281 - 2.1858696459646554186e-430j)  +/-  (1.88e-27, 6.21e-86j)
| (1.0697828679593630414e-05 + 3.399719057328526463e-433j)  +/-  (6.39e-32, 2.11e-90j)
| (6.4948811481593396682e-07 - 3.3029903507865252269e-435j)  +/-  (8.47e-35, 2.8e-93j)
| (0.16069647755881752281 + 1.6055339160590613815e-430j)  +/-  (1.09e-28, 3.59e-87j)
| (0.00089233456307558648414 + 6.769085554361865878e-433j)  +/-  (2.2e-33, 7.27e-92j)
| (0.0081588709693089699976 + 2.4025668803188176745e-430j)  +/-  (6.41e-30, 2.11e-88j)
| (0.10991274520792848252 + 1.7842279824238949392e-430j)  +/-  (3.17e-30, 1.05e-88j)
| (0.0047435070927978216097 - 3.6604163204258616949e-432j)  +/-  (1.09e-32, 3.6e-91j)
| (0.00011773135778576591735 - 1.2659845611173201961e-433j)  +/-  (3.61e-34, 1.2e-92j)
| (0.04996949041054636751 + 1.0782958027413249828e-430j)  +/-  (2.85e-31, 8.97e-90j)
