Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 6 22
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Trying to find an order 6 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P2 : 63/8*t^11 - 2233/104*t^9 + 71973/3380*t^7 - 6901587/746980*t^5 + 488523/298792*t^3 - 24129/298792*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 63/8*t^33 - 18369275210340881640397165183049821846182301424088437732768712464851/285301340782574486962697057383837063770080913412171861992588065000*t^31 + 141120034758918375318298113925873427871159240284617725134240204256801389/589717871397581464551894817612391210812757248022959238738679530355000*t^29 - 130736805680923371972800555760898750164516396108909530289954151835379101966/244364342960372819373691415048134607980536284649513734552340330390853125*t^27 + 46922602484625502705881127007816082998655209823627330667227893490800606631/58480355580260161901396236079895461738931760428943457841585720093537500*t^25 - 187390433549774162655620152790797094837681176048991252426739426088628750973/219886136981778208749249847660406936138383419212827401484362307551701000*t^23 + 13909779682952518623135204835753949028420275218524024715449049530898949299/21084972039348595359517108679765048670803889513558791923158029491259000*t^21 - 1783662132645191442660941519556117619937131718496732892379231646415702191531/4727551945108231488108871724698749126975243513075789131913789612361571500*t^19 + 3779132244233634234682373668490718239143218063113439738274172612079109244037/23637759725541157440544358623493745634876217565378945659568948061807857500*t^17 - 1803300682177929279651385323719772144970949067512875276431527236805726427379/36151867815533534909067842600637493323928332747050152185223097035706135000*t^15 + 3017803878272817284726426810235936698409932582541363573261598159333527034743/267523821834948158327102035244717450597069662328171126170650918064225399000*t^13 - 379705228461745299842586039649342059910233156214111415520383007768217455749/210932244139093740219445835481411836047689541451058003326859377704485410750*t^11 + 245954478454308132757713058192720547171739862662810094962574042177151831189/1265593464834562441316675012888471016286137248706348019961156266226912464500*t^9 - 392418564062729295635430326951666421000768664078362464410901518334077049631/29530514179473123630722416967397657046676535803148120465760312878627957505000*t^7 + 46364923010459201596376709686577714276794823909129057750347387682886431/89758401761316485199764185311239079169229592106833192905046543704036345000*t^5 - 3951442902554335341489865262834855726648098338214668559449955961903167/421864488278187480438891670962823672095379082902116006653718755408970821500*t^3 + 548483152676542120640918772725219292965409445387026260034396229857861/10968476695232874491411183445033415474479856155455016172996687640633241359000*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: 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:
| (0.9969315800359169849 + 7.6966787367950001736e-392j)  +/-  (3.25e-117, 3.25e-117j)
| (0.093075825090466195759 + 5.5674218804199117328e-401j)  +/-  (8.76e-127, 8.76e-127j)
| (-0.9061798459386639928 + 1.6886803385529630869e-390j)  +/-  (1.07e-116, 1.07e-116j)
| (-0.96237269896445671097 - 3.3107621412209197826e-402j)  +/-  (1.62e-116, 1.62e-116j)
| (0.9061798459386639928 + 2.5533391278158042496e-413j)  +/-  (1.08e-116, 1.08e-116j)
| (0.86626616425555031402 + 9.7026321481306398973e-414j)  +/-  (3.79e-117, 3.79e-117j)
| (-0.9969315800359169849 - 5.5912574215993790437e-411j)  +/-  (3.66e-117, 3.66e-117j)
| (-0.93570636509895242351 - 1.1372290519735576184e-421j)  +/-  (1.58e-116, 1.58e-116j)
| (-0.093075825090466195759 - 2.1406829658286011254e-441j)  +/-  (9.3e-127, 9.3e-127j)
| (0.96237269896445671097 - 1.7349799246674096781e-431j)  +/-  (1.49e-116, 1.49e-116j)
| (0.81464754019601538171 - 7.2422070720309707763e-433j)  +/-  (1.01e-117, 1.01e-117j)
| (-0.9840853600948424645 + 7.1088975939266637327e-431j)  +/-  (9.4e-117, 9.4e-117j)
| (-0.86626616425555031402 - 6.9219532723759602903e-439j)  +/-  (3.78e-117, 3.78e-117j)
| (-0.68706602399851241633 - 3.3577137383219598536e-447j)  +/-  (4.59e-119, 4.59e-119j)
| (-0.37039985093866279814 + 1.8757626699537089191e-450j)  +/-  (5.15e-123, 5.15e-123j)
| (0.75416672657084922044 + 9.1152640956736681215e-446j)  +/-  (2.56e-118, 2.56e-118j)
| (0.93570636509895242351 + 7.8438907105777660619e-444j)  +/-  (1.64e-116, 1.64e-116j)
| (0.9840853600948424645 + 5.9584065972183215007e-447j)  +/-  (9.63e-117, 9.63e-117j)
| (-0.75416672657084922044 + 8.9761139509593792935e-448j)  +/-  (2.67e-118, 2.67e-118j)
| (-0.81464754019601538171 + 1.9276734047026607223e-452j)  +/-  (1.16e-117, 1.16e-117j)
| (0.18657478545145848384 - 5.3281779799942846711e-464j)  +/-  (1.83e-125, 1.83e-125j)
| (0.68706602399851241633 + 1.5092362727458797945e-456j)  +/-  (4.73e-119, 4.73e-119j)
| (0.45701852487852261096 + 1.7634964308300459272e-459j)  +/-  (7.65e-122, 7.65e-122j)
| (-0.53846931010568309104 + 3.374751440969106942e-456j)  +/-  (8.16e-121, 8.16e-121j)
| (-0.45701852487852261096 - 5.2604950220641698059e-458j)  +/-  (7.17e-122, 7.17e-122j)
| (2.6307363536753088878e-466 - 1.4946002733250318766e-466j)  +/-  (9.98e-465, 9.98e-465j)
| (0.53846931010568309104 + 2.588412612512286667e-457j)  +/-  (7.44e-121, 7.44e-121j)
| (0.27963041316178319341 + 4.7643377323457681205e-462j)  +/-  (3.33e-124, 3.33e-124j)
| (-0.27963041316178319341 - 8.004191386716847571e-461j)  +/-  (3.26e-124, 3.26e-124j)
| (-0.61498008079408840393 - 8.3310805791312591289e-459j)  +/-  (6.34e-120, 6.34e-120j)
| (-0.18657478545145848384 + 6.3892005121212665588e-464j)  +/-  (2.05e-125, 2.05e-125j)
| (0.37039985093866279814 + 5.5727142951341944283e-462j)  +/-  (5.12e-123, 5.12e-123j)
| (0.61498008079408840393 + 9.6517241496292622541e-461j)  +/-  (6.66e-120, 6.66e-120j)
-------------------------------------------------
The weights are:
| (0.0078483991319272960013 - 1.0627854393856377312e-391j)  +/-  (2.41e-20, 3.01e-77j)
| (0.09330899921904648469 - 6.3208013497279105917e-392j)  +/-  (1.48e-20, 1.85e-77j)
| (0.033528941409181692716 - 1.3066613510518015623e-391j)  +/-  (4.29e-21, 5.36e-78j)
| (0.025120648825990407398 - 3.8585938678582832693e-391j)  +/-  (3.03e-21, 3.79e-78j)
| (0.033528941409181692716 - 1.6002010147818969236e-391j)  +/-  (6.75e-22, 8.43e-79j)
| (0.046249948792911328949 + 1.0009785263541514708e-391j)  +/-  (6.25e-22, 7.8e-79j)
| (0.0078483991319272960013 - 2.2015748244446689158e-392j)  +/-  (1.07e-22, 1.33e-79j)
| (0.027443339251889059864 + 1.4571194797775334242e-390j)  +/-  (3.19e-22, 3.98e-79j)
| (0.09330899921904648469 - 9.0631582384808524623e-392j)  +/-  (6.43e-24, 8.04e-81j)
| (0.025120648825990407398 - 1.7915860596252997584e-391j)  +/-  (1.14e-23, 1.42e-80j)
| (0.056475998657526608593 - 6.0046273369110386553e-392j)  +/-  (1.73e-23, 2.16e-80j)
| (0.017654414166876723291 + 1.0638856516537622903e-391j)  +/-  (1.6e-22, 1.99e-79j)
| (0.046249948792911328949 - 1.3981291516673227158e-390j)  +/-  (1.77e-23, 2.21e-80j)
| (0.069798398692060461785 + 2.8023753146776861792e-391j)  +/-  (3.3e-25, 4.12e-82j)
| (0.088961169100297091248 + 1.3688963418295535541e-391j)  +/-  (1.01e-25, 1.26e-82j)
| (0.064119124121383169141 + 3.7955738949492081589e-392j)  +/-  (1.33e-25, 1.66e-82j)
| (0.027443339251889059864 + 1.9116866858857241281e-391j)  +/-  (6.5e-25, 8.12e-82j)
| (0.017654414166876723291 + 1.9110026864717067253e-391j)  +/-  (2.29e-25, 2.86e-82j)
| (0.064119124121383169141 - 3.679688372795559218e-391j)  +/-  (8.28e-27, 1.03e-83j)
| (0.056475998657526608593 + 5.8679063788706303735e-391j)  +/-  (2.22e-26, 2.78e-83j)
| (0.093534482080885522313 + 4.8712572648757154439e-392j)  +/-  (2.5e-29, 3.12e-86j)
| (0.069798398692060461785 - 2.3131182363223340113e-392j)  +/-  (5.86e-29, 7.31e-86j)
| (0.084096171564014467318 - 1.3487365372420086929e-392j)  +/-  (4.67e-30, 5.83e-87j)
| (0.0788617557660591658 + 1.9646755285539785297e-391j)  +/-  (9.71e-30, 1.21e-86j)
| (0.084096171564014467318 - 1.6398130885043689583e-391j)  +/-  (7.38e-30, 9.22e-87j)
| (0.092940332616874747575 + 7.7757189698537355482e-392j)  +/-  (1.49e-30, 1.86e-87j)
| (0.0788617557660591658 + 1.8354962592063611259e-393j)  +/-  (2.55e-31, 3.18e-88j)
| (0.092252445357798846086 - 3.5856410212514514275e-392j)  +/-  (2.16e-31, 2.7e-88j)
| (0.092252445357798846086 - 1.1688992732814891455e-391j)  +/-  (1.69e-31, 2.11e-88j)
| (0.074275597553714301019 - 2.3271792420958762627e-391j)  +/-  (2.84e-31, 3.54e-88j)
| (0.093534482080885522313 + 1.0259664648327651821e-391j)  +/-  (1.21e-31, 1.51e-88j)
| (0.088961169100297091248 + 2.4510572793442091492e-392j)  +/-  (1.68e-32, 2.11e-89j)
| (0.074275597553714301019 + 1.0418090009182334598e-392j)  +/-  (1.19e-32, 1.47e-89j)
