Starting with polynomial:
P : 5014575/2048*t^14 - 16900975/2048*t^12 + 22309287/2048*t^10 - 14549535/2048*t^8 + 4849845/2048*t^6 - 765765/2048*t^4 + 45045/2048*t^2 - 429/2048
Extension levels are: 14 15
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Trying to find an order 15 Kronrod extension for:
P1 : 5014575/2048*t^14 - 16900975/2048*t^12 + 22309287/2048*t^10 - 14549535/2048*t^8 + 4849845/2048*t^6 - 765765/2048*t^4 + 45045/2048*t^2 - 429/2048
Solvable: 1
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Ending with final polynomial:
P : 5014575/2048*t^29 - 1125679225/63488*t^27 + 1246045465377/21649408*t^25 - 47214967905675/427083776*t^23 + 8279453236577043825/59273676019712*t^21 - 265097233046280722625/2171571948722176*t^19 + 176605704398010038878576125/2337777550961525184512*t^17 - 726057371676924810034804575/21792010317704287209472*t^15 + 178061417637221459917825875/17122293821053368521728*t^13 - 3503109277026088716043125/1556572165550306229248*t^11 + 506427460349983422173415/1556572165550306229248*t^9 - 45984186886513366599795/1556572165550306229248*t^7 + 1182006318122506084941/778286082775153114624*t^5 - 198656712028989477405/5448002579426071802368*t^3 + 708641731665230805/2724001289713035901184*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:
| (-0.99772059375654312202 + 3.7135211159477614965e-395j)  +/-  (2.88e-118, 2.88e-118j)
| (-0.98628380869681233884 + 2.1296808755969525115e-408j)  +/-  (6.42e-118, 6.42e-118j)
| (-0.92843488366357351734 + 6.2620177836382929826e-417j)  +/-  (4.53e-118, 4.53e-118j)
| (-6.2237802481550587977e-438 + 2.8608923933657892007e-438j)  +/-  (1.99e-436, 1.99e-436j)
| (0.92843488366357351734 + 2.9918080920811650525e-426j)  +/-  (4.03e-118, 4.03e-118j)
| (0.76175675256220552506 + 1.2021375195694018778e-427j)  +/-  (1.77e-119, 1.77e-119j)
| (0.99772059375654312202 + 1.2968589759113778361e-424j)  +/-  (2.73e-118, 2.73e-118j)
| (-0.88291466325205703994 + 1.1338062891642482134e-425j)  +/-  (1.88e-118, 1.88e-118j)
| (-0.96315833827885320401 - 5.0934996257316539493e-438j)  +/-  (6.73e-118, 6.73e-118j)
| (0.98628380869681233884 + 1.0834949491067519569e-447j)  +/-  (6.73e-118, 6.73e-118j)
| (0.88291466325205703994 + 3.3055611545801616562e-450j)  +/-  (1.91e-118, 1.91e-118j)
| (0.96315833827885320401 + 6.8434451029764404666e-450j)  +/-  (6.06e-118, 6.06e-118j)
| (-0.68729290481168547015 - 2.5854588346293942879e-452j)  +/-  (3.4e-120, 3.4e-120j)
| (-0.76175675256220552506 - 2.3246853218765628437e-452j)  +/-  (1.78e-119, 1.78e-119j)
| (-0.21483591853348490211 - 5.1115148593777507534e-462j)  +/-  (1.7e-125, 1.7e-125j)
| (0.82720131506976499319 - 1.2560302338553164902e-456j)  +/-  (6.56e-119, 6.56e-119j)
| (0.51524863635815409197 + 2.1558925115598697658e-461j)  +/-  (6.03e-122, 6.03e-122j)
| (0.10805494870734366207 - 8.2967357425872512961e-465j)  +/-  (1.05e-126, 1.05e-126j)
| (-0.82720131506976499319 - 1.3823439235887272058e-459j)  +/-  (6.46e-119, 6.46e-119j)
| (-0.41965589764297900016 - 6.5378424588285338842e-465j)  +/-  (4.75e-123, 4.75e-123j)
| (0.41965589764297900016 + 3.6060658558079031892e-465j)  +/-  (4.95e-123, 4.95e-123j)
| (0.68729290481168547015 + 9.5974976897347522855e-463j)  +/-  (3.63e-120, 3.63e-120j)
| (-0.10805494870734366207 - 8.4813151616055916946e-470j)  +/-  (1.05e-126, 1.05e-126j)
| (-0.51524863635815409197 + 2.4213650672331658813e-463j)  +/-  (6.2e-122, 6.2e-122j)
| (-0.60478936594092159241 - 1.1388841155737822917e-464j)  +/-  (5.05e-121, 5.05e-121j)
| (0.21483591853348490211 - 9.1496183859638117171e-470j)  +/-  (1.77e-125, 1.77e-125j)
| (0.60478936594092159241 + 7.9019184961168494404e-468j)  +/-  (5.39e-121, 5.39e-121j)
| (0.31911236892788976044 - 2.6221874337411172502e-471j)  +/-  (3.33e-124, 3.33e-124j)
| (-0.31911236892788976044 + 3.1840232556170916761e-471j)  +/-  (2.92e-124, 2.92e-124j)
-------------------------------------------------
The weights are:
| (0.0061395586863781313761 + 3.9401229015335322212e-395j)  +/-  (2.43e-28, 3.93e-84j)
| (0.017148458909935506453 - 5.8351794587466434494e-395j)  +/-  (1.82e-28, 2.94e-84j)
| (0.040250594872688612167 - 2.1389304532449414448e-395j)  +/-  (3.68e-29, 5.95e-85j)
| (0.108270066506429657 + 4.0298173728463846124e-396j)  +/-  (4.21e-30, 6.8e-86j)
| (0.040250594872688612167 - 7.6939435590656168192e-397j)  +/-  (1.02e-30, 1.65e-86j)
| (0.070102979002746982663 + 1.4795808162134057366e-396j)  +/-  (6.09e-31, 9.82e-87j)
| (0.0061395586863781313761 + 1.1425734302337044571e-397j)  +/-  (1.65e-31, 2.67e-87j)
| (0.05069154326046537607 + 1.6396724060378611307e-395j)  +/-  (2.63e-30, 4.25e-86j)
| (0.029048701261508505535 + 3.1211205413111376668e-395j)  +/-  (1.57e-29, 2.53e-85j)
| (0.017148458909935506453 - 3.3636867525150357092e-397j)  +/-  (1.75e-31, 2.82e-87j)
| (0.05069154326046537607 + 1.00096026380540416e-396j)  +/-  (3.01e-32, 4.86e-88j)
| (0.029048701261508505535 + 5.5012557768414553134e-397j)  +/-  (1.3e-31, 2.1e-87j)
| (0.07865579724962168225 - 9.396304748106352835e-396j)  +/-  (5.38e-34, 8.68e-90j)
| (0.070102979002746982663 + 1.1032575648025837629e-395j)  +/-  (1.18e-33, 1.9e-89j)
| (0.1057316398417643357 + 5.015255625795514417e-396j)  +/-  (2.78e-35, 4.49e-91j)
| (0.060667125866742149674 - 1.2382618904752637208e-396j)  +/-  (6.86e-34, 1.11e-89j)
| (0.092736830017853571435 - 2.2777765303920228497e-396j)  +/-  (5.42e-36, 8.75e-92j)
| (0.10762642111411865236 - 3.6147831322430206844e-396j)  +/-  (5.03e-36, 8.12e-92j)
| (0.060667125866742149674 - 1.3252057305167336654e-395j)  +/-  (9.18e-35, 1.48e-90j)
| (0.098264926472103737472 + 6.3125958368421549229e-396j)  +/-  (1.16e-36, 1.87e-92j)
| (0.098264926472103737472 + 2.5745374050255275801e-396j)  +/-  (6.08e-37, 9.82e-93j)
| (0.07865579724962168225 - 1.7310681309406404157e-396j)  +/-  (1.83e-36, 2.95e-92j)
| (0.10762642111411865236 - 4.4928550418784434361e-396j)  +/-  (7.97e-37, 1.29e-92j)
| (0.092736830017853571435 - 7.1428105835277064785e-396j)  +/-  (2.8e-37, 4.52e-93j)
| (0.086183762869458138009 + 8.1450696867933068895e-396j)  +/-  (3.84e-37, 6.21e-93j)
| (0.1057316398417643357 + 3.2380897153784790284e-396j)  +/-  (2.64e-38, 4.28e-94j)
| (0.086183762869458138009 + 1.9971496671881566369e-396j)  +/-  (1.77e-38, 2.89e-94j)
| (0.10261662732139979033 - 2.8928484202516090638e-396j)  +/-  (1.39e-38, 2.26e-94j)
| (0.10261662732139979033 - 5.6135455133906874437e-396j)  +/-  (1.12e-38, 1.67e-94j)
