Starting with polynomial:
P : 6435/128*t^8 - 3003/32*t^6 + 3465/64*t^4 - 315/32*t^2 + 35/128
Extension levels are: 8 25
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Trying to find an order 25 Kronrod extension for:
P1 : 6435/128*t^8 - 3003/32*t^6 + 3465/64*t^4 - 315/32*t^2 + 35/128
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 6435/128*t^33 - 1302401173216935156575483559/3250560482856624578489968*t^31 + 620220474364585602407474619/427705326691661128748680*t^29 - 19015237966912220800808631141837/6029789695699038593098890640*t^27 + 3202928272664818981637891540046875/697043688822808861362231757984*t^25 - 80876134848837991378988864563220145/17077570376158817103374678070608*t^23 + 25458435016424572967270151975410550/7166480425709503605880445261773*t^21 - 676202639877350755493496341503282663/343991060434056173082261372565104*t^19 + 835175722047566990471934913939943793/1038008112186976522283315018968384*t^17 - 3694287450718187377339263124795935/15264825179220242974754632631888*t^15 + 401865550092720273856389364079215/7632412589610121487377316315944*t^13 - 4555009796319043230131665408354935/564798531631148990065921407379856*t^11 + 270337737025145432959881723180735141/324194357156279520297838887836037344*t^9 - 1262675065766949083763709233820639/23156739796877108592702777702574096*t^7 + 11741966104342078830444305734245/5789184949219277148175694425643524*t^5 - 819948812766413430014884841115/23156739796877108592702777702574096*t^3 + 309207826346099922186836005715/1667285265375151818674599994585334912*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:
| (0.98369761533960530108 - 2.530656468278733873e-414j)  +/-  (4.09e-117, 4.09e-117j)
| (0.18343464249564980494 - 1.0621170067840903185e-425j)  +/-  (1.88e-125, 1.88e-125j)
| (-0.84155259501654030938 + 3.2007224223325667955e-417j)  +/-  (2.04e-117, 2.04e-117j)
| (-0.96028985649753623168 + 1.4133720741821972653e-420j)  +/-  (5.63e-117, 5.63e-117j)
| (0.88652185748802563561 - 2.7681613491472123762e-424j)  +/-  (3.48e-117, 3.48e-117j)
| (0.92737063192764049613 + 4.2601789395161267721e-433j)  +/-  (5.29e-117, 5.29e-117j)
| (-0.98369761533960530108 - 1.2083180786768680616e-438j)  +/-  (3.86e-117, 3.86e-117j)
| (-0.88652185748802563561 - 5.5028341622068932598e-447j)  +/-  (3.8e-117, 3.8e-117j)
| (-0.99689179723609251246 - 4.8992728677624176296e-449j)  +/-  (1.64e-117, 1.64e-117j)
| (0.99689179723609251246 + 2.2127193234865783303e-450j)  +/-  (1.65e-117, 1.65e-117j)
| (0.84155259501654030938 - 1.4015267785233780989e-455j)  +/-  (2.19e-117, 2.19e-117j)
| (0.96028985649753623168 + 2.1920084919314984896e-461j)  +/-  (5.97e-117, 5.97e-117j)
| (-0.92737063192764049613 - 2.1274318443618083354e-466j)  +/-  (5.22e-117, 5.22e-117j)
| (-0.7446411919755477624 - 2.2450800129458933614e-472j)  +/-  (2.49e-118, 2.49e-118j)
| (0.092974291156876469802 + 9.0183865780052660167e-483j)  +/-  (9.88e-127, 9.88e-127j)
| (0.79666647741362673959 + 5.0926426843365979916e-473j)  +/-  (9.78e-118, 9.78e-118j)
| (0.67991977358812918431 - 1.6517132759091674785e-477j)  +/-  (3.78e-119, 3.78e-119j)
| (-0.60582710576219683265 - 1.1294398149360797339e-475j)  +/-  (4.74e-120, 4.74e-120j)
| (-0.79666647741362673959 - 1.6262322859746141818e-474j)  +/-  (9.94e-118, 9.94e-118j)
| (-0.35620947444026724595 + 2.5671583668782598036e-483j)  +/-  (3.94e-123, 3.94e-123j)
| (0.44155558149113420249 + 2.2591339414875838383e-479j)  +/-  (5.33e-122, 5.33e-122j)
| (0.7446411919755477624 + 2.8975561847810704953e-477j)  +/-  (2.33e-118, 2.33e-118j)
| (1.121735754332456634e-489 - 3.8557854369407818693e-489j)  +/-  (1.33e-487, 1.33e-487j)
| (-0.44155558149113420249 + 5.3482837136123725658e-482j)  +/-  (5.07e-122, 5.07e-122j)
| (-0.52553240991632898582 - 1.0923067352824516542e-479j)  +/-  (4.9e-121, 4.9e-121j)
| (-0.092974291156876469802 - 4.2886568316078574234e-486j)  +/-  (9.88e-127, 9.88e-127j)
| (0.60582710576219683265 + 1.0410063627275018852e-479j)  +/-  (5.23e-120, 5.23e-120j)
| (0.35620947444026724595 - 4.9010399995083681653e-483j)  +/-  (4.54e-123, 4.54e-123j)
| (-0.27061408946948564626 - 1.1859271862056071921e-483j)  +/-  (3.3e-124, 3.3e-124j)
| (-0.67991977358812918431 - 3.7555824699909818983e-482j)  +/-  (3.77e-119, 3.77e-119j)
| (-0.18343464249564980494 + 7.3251622261402766697e-490j)  +/-  (2.02e-125, 2.02e-125j)
| (0.27061408946948564626 - 2.581400175942909762e-487j)  +/-  (3.11e-124, 3.11e-124j)
| (0.52553240991632898582 - 4.8270826257309609079e-485j)  +/-  (5.17e-121, 5.17e-121j)
-------------------------------------------------
The weights are:
| (0.018376687263500213379 + 1.7712199248226852282e-414j)  +/-  (2.57e-22, 1.44e-78j)
| (0.088711352138935528598 - 2.8095009045593601895e-414j)  +/-  (1.48e-22, 8.3e-79j)
| (0.045041117912327669192 + 4.6274343559619814952e-415j)  +/-  (4.75e-23, 2.66e-79j)
| (0.02832785127765223048 - 5.5376379233038766207e-416j)  +/-  (2.79e-23, 1.57e-79j)
| (0.043823382672719280478 - 4.594774024287464959e-414j)  +/-  (1.27e-23, 7.11e-80j)
| (0.037269416907633285067 + 3.9363167740059010545e-414j)  +/-  (1.48e-23, 8.34e-80j)
| (0.018376687263500213379 + 2.3582580146378496031e-416j)  +/-  (2.69e-24, 1.51e-80j)
| (0.043823382672719280478 - 2.3703676105970493133e-415j)  +/-  (1.32e-24, 7.41e-81j)
| (0.007968346098682098435 - 6.1213295977549141935e-417j)  +/-  (1.11e-24, 6.22e-81j)
| (0.007968346098682098435 + 9.2086973754990019513e-415j)  +/-  (1.45e-25, 8.16e-82j)
| (0.045041117912327669192 + 5.9198342413943871766e-414j)  +/-  (4.54e-26, 2.55e-82j)
| (0.02832785127765223048 - 4.6119598698104075256e-414j)  +/-  (2.92e-25, 1.64e-81j)
| (0.037269416907633285067 + 1.1557355909683366099e-415j)  +/-  (8.26e-26, 4.64e-82j)
| (0.058658502749960244963 + 7.2605778223439580892e-415j)  +/-  (1.65e-27, 9.25e-84j)
| (0.092055043622312054611 + 2.5096934475239670472e-414j)  +/-  (1.27e-28, 7.12e-85j)
| (0.046359550106127735528 - 6.3809540980174717593e-414j)  +/-  (1.8e-27, 1.01e-83j)
| (0.070043242603515624297 - 3.8898053808323744674e-414j)  +/-  (1.37e-28, 7.67e-85j)
| (0.077634383979677601806 + 7.5550470558658404875e-415j)  +/-  (8.5e-30, 4.77e-86j)
| (0.046359550106127735528 - 6.7487251523424464173e-415j)  +/-  (3.45e-28, 1.94e-84j)
| (0.085461590006899069266 - 1.4031928279974657153e-414j)  +/-  (7.39e-31, 4.15e-87j)
| (0.085007435334514697666 + 2.8997857340448924048e-414j)  +/-  (3.25e-31, 1.82e-87j)
| (0.058658502749960244963 + 5.2334391810400612399e-414j)  +/-  (1.98e-29, 1.11e-85j)
| (0.093445743506605668901 - 2.2504218051459589941e-414j)  +/-  (2.71e-31, 1.52e-87j)
| (0.085007435334514697666 + 1.1036215891635811863e-414j)  +/-  (1.53e-31, 8.6e-88j)
| (0.082544077891300578217 - 8.8306493018732656553e-415j)  +/-  (1.96e-31, 1.1e-87j)
| (0.092055043622312054611 + 2.076424516817892136e-414j)  +/-  (1.51e-32, 8.5e-89j)
| (0.077634383979677601806 + 3.1745350848939262837e-414j)  +/-  (1.32e-32, 7.43e-89j)
| (0.085461590006899069266 - 2.9951626473245366958e-414j)  +/-  (5.82e-33, 3.27e-89j)
| (0.085995147680939253566 + 1.7066809809620484741e-414j)  +/-  (5.99e-33, 3.36e-89j)
| (0.070043242603515624297 - 7.1150816161507687522e-415j)  +/-  (8.64e-33, 4.85e-89j)
| (0.088711352138935528598 - 1.9267064132653100694e-414j)  +/-  (4.11e-33, 2.3e-89j)
| (0.085995147680939253566 + 3.0012480469952220273e-414j)  +/-  (9.1e-34, 5.18e-90j)
| (0.082544077891300578217 - 2.9066732737073575484e-414j)  +/-  (4.5e-34, 2.45e-90j)
