Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 22
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Trying to find an order 22 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
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Ending with final polynomial:
P : 63/8*t^27 - 566849699789789/10935824832456*t^25 + 10161549992211670325/67074881609868876*t^23 - 1094734634456733180625/4225717541421739188*t^21 + 261858003696446239225/910806287123482632*t^19 - 2702153023549236384985/12447685924020929304*t^17 + 1061462236133092419505/9335764443015696978*t^15 - 4760174172170774180725/115141094797193596062*t^13 + 127928939774368035875/12447685924020929304*t^11 - 2334106173418924794175/1381693137566323152744*t^9 + 2884198410387047994955/16657078380660673563636*t^7 - 2070703556979659994145/207023688445354085719476*t^5 + 97114360141529503175/360621908904810342866184*t^3 - 195956138132076425/90888448585765208364648*t
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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:
| (0.99600347778411492642 + 8.3185035177756791778e-364j)  +/-  (2.51e-119, 2.51e-119j)
| (0.53846931010568309104 - 2.2288285404770591806e-368j)  +/-  (4.21e-122, 4.21e-122j)
| (-0.62928504596973547565 - 5.0176811308172504749e-365j)  +/-  (2.99e-121, 2.99e-121j)
| (0.94888435707313657859 + 3.0198795276734171496e-364j)  +/-  (6.01e-119, 6.01e-119j)
| (0.9061798459386639928 - 6.6394991826359152937e-363j)  +/-  (4.63e-119, 4.63e-119j)
| (-0.78681958156826987215 - 2.5429458838033748655e-363j)  +/-  (6.69e-120, 6.69e-120j)
| (0.44056246326719019608 - 2.4476832683338645397e-369j)  +/-  (4.88e-123, 4.88e-123j)
| (0.85180498030926480208 + 4.9405951445426927609e-366j)  +/-  (2e-119, 2e-119j)
| (0.97903519863333293088 + 1.3322604028028844352e-365j)  +/-  (5.69e-119, 5.69e-119j)
| (-0.85180498030926480208 + 1.1116374655344882424e-364j)  +/-  (1.91e-119, 1.91e-119j)
| (0.11453095329092898477 - 9.6799070281845341793e-378j)  +/-  (1.05e-126, 1.05e-126j)
| (0.78681958156826987215 + 3.5573511628929141305e-374j)  +/-  (7.12e-120, 7.12e-120j)
| (0.22724507706605930195 - 1.954676454409394931e-379j)  +/-  (1.94e-125, 1.94e-125j)
| (-2.4227384891041820686e-376 + 1.7224928818416529079e-376j)  +/-  (8.03e-375, 8.03e-375j)
| (-0.71232298025661901661 - 1.3573215635584296159e-372j)  +/-  (1.59e-120, 1.59e-120j)
| (-0.33642437511394007789 + 8.6489209111246122793e-375j)  +/-  (2.69e-124, 2.69e-124j)
| (0.33642437511394007789 + 3.1462814502949300722e-378j)  +/-  (2.95e-124, 2.95e-124j)
| (0.71232298025661901661 - 1.2866694590175322959e-374j)  +/-  (1.77e-120, 1.77e-120j)
| (-0.11453095329092898477 - 6.9867518965273928123e-378j)  +/-  (1.05e-126, 1.05e-126j)
| (-0.44056246326719019608 + 1.0161432569990929509e-372j)  +/-  (4.36e-123, 4.36e-123j)
| (-0.53846931010568309104 - 3.2084781506473648018e-375j)  +/-  (4.23e-122, 4.23e-122j)
| (-0.22724507706605930195 - 5.3811099988440984896e-378j)  +/-  (1.7e-125, 1.7e-125j)
| (0.62928504596973547565 + 1.5465918205441490265e-388j)  +/-  (3.18e-121, 3.18e-121j)
| (-0.99600347778411492642 + 4.1586424695170541198e-392j)  +/-  (2.16e-119, 2.16e-119j)
| (-0.94888435707313657859 - 6.8603980784419835919e-428j)  +/-  (6.14e-119, 6.14e-119j)
| (-0.97903519863333293088 - 4.241662905733735878e-458j)  +/-  (5.95e-119, 5.95e-119j)
| (-0.9061798459386639928 - 3.9247399000434426912e-475j)  +/-  (4.63e-119, 4.63e-119j)
-------------------------------------------------
The weights are:
| (0.010245786030348538294 - 7.3815816929278927557e-364j)  +/-  (1.37e-28, 8.19e-85j)
| (0.094482016550780159226 - 3.7811741161100607417e-363j)  +/-  (4.63e-29, 2.77e-85j)
| (0.087039843727188790972 - 9.3473728806519375077e-364j)  +/-  (9.16e-30, 5.48e-86j)
| (0.036555564709643914804 + 3.2554986015707650036e-363j)  +/-  (3.44e-29, 2.06e-85j)
| (0.04870506323710984691 + 3.534557740453244892e-363j)  +/-  (2.56e-29, 1.53e-85j)
| (0.069918719679195564453 - 1.3945953966800189257e-364j)  +/-  (7.72e-31, 4.61e-87j)
| (0.10119115752695486479 + 3.2030180417087025229e-363j)  +/-  (5.11e-30, 3.06e-86j)
| (0.059865706666796605413 - 9.9455529952567066374e-363j)  +/-  (5.9e-30, 3.53e-86j)
| (0.023640355616860768949 + 2.3478411876361431646e-364j)  +/-  (8.2e-30, 4.9e-86j)
| (0.059865706666796605413 - 2.3510609879658515634e-363j)  +/-  (7.15e-33, 4.28e-89j)
| (0.11392060002379559683 - 1.8391341631989712577e-363j)  +/-  (9.44e-32, 5.65e-88j)
| (0.069918719679195564453 + 6.4929815990439108799e-363j)  +/-  (1.31e-30, 7.83e-87j)
| (0.11121939979960928771 + 2.2304984042360823423e-363j)  +/-  (1.06e-31, 6.36e-88j)
| (0.11483690116366753872 + 1.4975141526155702732e-363j)  +/-  (1.98e-32, 1.19e-88j)
| (0.078911164985801091757 + 2.4049401182875588749e-363j)  +/-  (9.88e-34, 5.91e-90j)
| (0.10688617086408120054 - 5.6000688922749981166e-364j)  +/-  (3.63e-34, 2.17e-90j)
| (0.10688617086408120054 - 2.6842560430394510367e-363j)  +/-  (1.58e-32, 9.42e-89j)
| (0.078911164985801091757 - 5.2178178945928045281e-363j)  +/-  (2.98e-33, 1.78e-89j)
| (0.11392060002379559683 - 1.1865056348617350221e-363j)  +/-  (1.09e-33, 6.5e-90j)
| (0.10119115752695486479 + 1.8391871930310068791e-364j)  +/-  (4.54e-35, 2.71e-91j)
| (0.094482016550780159226 + 3.0479838999371422769e-364j)  +/-  (1.92e-35, 1.15e-91j)
| (0.11121939979960928771 + 8.8297063747750869956e-364j)  +/-  (1.37e-34, 8.21e-91j)
| (0.087039843727188790972 + 4.4257605841876644239e-363j)  +/-  (4.22e-34, 2.53e-90j)
| (0.010245786030348538294 - 5.8615629557676198782e-365j)  +/-  (1.03e-40, 6.15e-97j)
| (0.036555564709643914804 - 5.0756626886751561908e-364j)  +/-  (2.3e-40, 1.37e-96j)
| (0.023640355616860768949 + 2.2153793790441073571e-364j)  +/-  (1.12e-40, 6.73e-97j)
| (0.04870506323710984691 + 1.0712665741584094555e-363j)  +/-  (3.87e-40, 2.3e-96j)
