Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 44
-------------------------------------------------
Trying to find an order 44 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 63/8*t^49 - 619354465161480516565332070000193/6529306882322420126895308400706*t^47 + 23209853009644209559506970176200906123/43289304629797645441315894696680780*t^45 - 3914663951462940102890493581237630592/2071369952716123894772642273120747*t^43 + 211516229882048211354633220242404268516/45418575304677936131722083013062233*t^41 - 1012514115880973126523992205119338677989/118787043104542294498350063264931994*t^39 + 236982216009211690017574773472647235564857/19718649155354020886726110501978711004*t^37 - 988021206206940278028792245116886164711117/73944934332577578325222914382420166265*t^35 + 19616187311071527044193823710168310952906231/1649407005818436335348501713753748649864*t^33 - 588066061048553172806134166170189643545003/68725291909101513972854238073072860411*t^31 + 332802403166084562594339899429192341242239/66508347008807916747923456199747929430*t^29 - 598557201477875302640824696988479395765676/251126344740154030479228222547324078365*t^27 + 234676841610542709131101963269889851161867/253988183426651512308051336194587030825*t^25 - 2950678358808590954959561355208520988061/10159527337066060492322053447783481233*t^23 + 58276432628147824492722721865708774999161/792443132291152718401120168927111536174*t^21 - 1708616913420168387253890209410018467306154/115036328037599002954562611189252358001259*t^19 + 2172076721366148338272635482640857917566431/920290624300792023636500889514018864010072*t^17 - 3586908946519787782053247055155509180988349/12383322371106245612167622263313636184841410*t^15 + 2994634517995533459764582474570072358631/111843248357484652295122803449751937987852*t^13 - 172129065971488106735949637853166224958836/95542094909381264223108654846950593026122571*t^11 + 4298035260946225339379806635056306225/51101138300613976229154210116037043872057*t^9 - 103277851286400360363352979074576935475/40672538395158289187347459493079368918750974*t^7 + 25456128614369112445024279245457961631027/573889516755683460433472653447349895443576243140*t^5 - 221418549431253480378541339366673373269/602583992593467633455146286119717390215755055297*t^3 + 1467102465239690063736875506975806143/1606890646915913689213723429652579707242013480792*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.9061798459386639928 + 5.169555929499778268e-826j)  +/-  (4.48e-239, 4.48e-239j)
| (-0.99351855907859570015 - 2.1534757477301866805e-828j)  +/-  (1.19e-238, 1.19e-238j)
| (-0.95300559978518769107 - 5.2139318956940065434e-833j)  +/-  (1.32e-238, 1.32e-238j)
| (0.99351855907859570015 - 8.9616545200296299242e-833j)  +/-  (1.14e-238, 1.14e-238j)
| (0.95300559978518769107 - 4.09911376357943544e-846j)  +/-  (1.28e-238, 1.28e-238j)
| (0.93149861666037493548 + 5.5019090226839432855e-855j)  +/-  (8.5e-239, 8.5e-239j)
| (-0.84474996622318502844 + 6.462816248894659692e-863j)  +/-  (7.58e-240, 7.58e-240j)
| (-0.8772030055670813663 - 2.5175816286793621077e-862j)  +/-  (2e-239, 2e-239j)
| (0.97057422213314740516 - 1.4485862042266038025e-859j)  +/-  (1.75e-238, 1.75e-238j)
| (-0.99876847459605814305 - 1.1445205793948116738e-867j)  +/-  (4.12e-239, 4.12e-239j)
| (0.8772030055670813663 - 5.8394695505598313089e-875j)  +/-  (1.99e-239, 1.99e-239j)
| (0.99876847459605814305 - 5.6568689300074469372e-875j)  +/-  (3.96e-239, 3.96e-239j)
| (-0.93149861666037493548 - 1.4026803622399157513e-886j)  +/-  (8.72e-239, 8.72e-239j)
| (-0.80903035617952854083 + 7.200414221520134793e-899j)  +/-  (2.5e-240, 2.5e-240j)
| (0.98410379726235776004 - 5.563588953792586274e-901j)  +/-  (1.67e-238, 1.67e-238j)
| (0.84474996622318502844 - 2.1383399514325236155e-913j)  +/-  (7.87e-240, 7.87e-240j)
| (0.31337594908935812141 - 3.6588515273948511886e-926j)  +/-  (3.32e-249, 3.32e-249j)
| (-0.97057422213314740516 - 2.7088911354506731254e-914j)  +/-  (1.69e-238, 1.69e-238j)
| (-0.77027734511031721803 - 6.6196012367625020213e-933j)  +/-  (6.92e-241, 6.92e-241j)
| (-0.98410379726235776004 + 5.2974680745029987934e-935j)  +/-  (1.59e-238, 1.59e-238j)
| (0.9061798459386639928 - 6.4714537087544301238e-943j)  +/-  (4.67e-239, 4.67e-239j)
| (0.72873556689501773703 - 2.4227722930191721796e-945j)  +/-  (1.66e-241, 1.66e-241j)
| (0.80903035617952854083 - 1.8328458953967987965e-944j)  +/-  (2.46e-240, 2.46e-240j)
| (-0.72873556689501773703 - 1.5960994330791657038e-948j)  +/-  (1.6e-241, 1.6e-241j)
| (-0.68463698817172007163 + 1.1178004295732367699e-949j)  +/-  (3.26e-242, 3.26e-242j)
| (9.5422743855584649443e-970 + 4.5122947589353834314e-969j)  +/-  (2.26e-967, 2.26e-967j)
| (0.77027734511031721803 + 1.458545906756106198e-948j)  +/-  (7.59e-241, 7.59e-241j)
| (0.53846931010568309104 + 1.3356819690871758574e-953j)  +/-  (9.37e-245, 9.37e-245j)
| (-0.19057942382164989513 - 5.775439298080316369e-962j)  +/-  (9.97e-252, 9.97e-252j)
| (-0.63816627294487000481 + 2.7899110761179872273e-953j)  +/-  (6.09e-243, 6.09e-243j)
| (-0.37257595030998498536 + 2.1001052426998924068e-958j)  +/-  (5.83e-248, 5.83e-248j)
| (0.68463698817172007163 + 2.7599978417638515425e-951j)  +/-  (3.32e-242, 3.32e-242j)
| (0.63816627294487000481 - 2.3321806959517582193e-954j)  +/-  (5.9e-243, 5.9e-243j)
| (0.063954378765259066835 + 1.3423472072719767044e-967j)  +/-  (2.27e-254, 2.27e-254j)
| (-0.58943170466761340571 - 7.362233433361494416e-958j)  +/-  (7.77e-244, 7.77e-244j)
| (-0.48529130083532908891 - 4.5281877439273437645e-960j)  +/-  (9.31e-246, 9.31e-246j)
| (0.12758760803088743552 - 9.6731884994784664127e-967j)  +/-  (4.62e-253, 4.62e-253j)
| (0.58943170466761340571 + 3.074692220625591329e-960j)  +/-  (7.72e-244, 7.72e-244j)
| (0.19057942382164989513 + 8.1796573447534351737e-968j)  +/-  (9.74e-252, 9.74e-252j)
| (-0.31337594908935812141 - 2.9760088551430100372e-964j)  +/-  (3.51e-249, 3.51e-249j)
| (-0.53846931010568309104 + 2.3202041213940000354e-962j)  +/-  (9.83e-245, 9.83e-245j)
| (-0.12758760803088743552 + 8.9986388480236465506e-971j)  +/-  (4.2e-253, 4.2e-253j)
| (0.37257595030998498536 - 3.8155093482631285593e-965j)  +/-  (5.88e-248, 5.88e-248j)
| (0.42995010611687945137 - 3.9251154464993766949e-963j)  +/-  (8.05e-247, 8.05e-247j)
| (-0.063954378765259066835 - 4.3315702869133285431e-972j)  +/-  (2.45e-254, 2.45e-254j)
| (-0.42995010611687945137 - 9.34803167752264552e-966j)  +/-  (7.89e-247, 7.89e-247j)
| (-0.25261233358241673891 + 5.8057331362565668995e-969j)  +/-  (1.91e-250, 1.91e-250j)
| (0.25261233358241673891 + 8.2485750743555489474e-969j)  +/-  (1.76e-250, 1.76e-250j)
| (0.48529130083532908891 + 1.2757756510757831226e-964j)  +/-  (9.8e-246, 9.8e-246j)
-------------------------------------------------
The weights are:
| (0.027175749349223262305 + 1.0584944678638519309e-826j)  +/-  (7.91e-66, 2.42e-180j)
| (0.007338287014168009416 + 1.7090636370826927897e-827j)  +/-  (2.18e-66, 6.66e-181j)
| (0.019556700988496225622 - 1.6152347924925979259e-826j)  +/-  (2.11e-66, 6.46e-181j)
| (0.007338287014168009416 - 8.5116101238381891107e-829j)  +/-  (1.25e-66, 3.82e-181j)
| (0.019556700988496225622 + 4.1537716799485090554e-828j)  +/-  (6.46e-67, 1.97e-181j)
| (0.023436191719542080207 - 5.8078370567910460281e-828j)  +/-  (4.19e-67, 1.28e-181j)
| (0.034123461788418261608 + 3.760743377057237913e-826j)  +/-  (3.58e-67, 1.09e-181j)
| (0.030747618542412843521 - 6.2836509598732596928e-826j)  +/-  (6.15e-67, 1.88e-181j)
| (0.015563779964420048409 - 2.8014866819499256769e-828j)  +/-  (1.49e-67, 4.55e-182j)
| (0.003159649053772654152 - 5.7484580337889569123e-828j)  +/-  (3e-68, 9.16e-183j)
| (0.030747618542412843521 - 1.0280515510429203676e-827j)  +/-  (4.59e-69, 1.4e-183j)
| (0.003159649053772654152 + 2.4027428005463531298e-829j)  +/-  (2.65e-68, 8.1e-183j)
| (0.023436191719542080207 + 4.1593308810044789895e-826j)  +/-  (4.82e-68, 1.47e-182j)
| (0.037276707634396754519 - 2.9646866380893276153e-826j)  +/-  (1.39e-69, 4.24e-184j)
| (0.011482745808077520331 + 1.708019747117278455e-828j)  +/-  (5.51e-68, 1.68e-182j)
| (0.034123461788418261608 + 1.3264127802491012303e-827j)  +/-  (2.94e-70, 8.98e-185j)
| (0.060028857057219822337 - 5.8603852201650456461e-827j)  +/-  (2.97e-73, 9.08e-188j)
| (0.015563779964420048409 + 7.8649190003085829477e-827j)  +/-  (7.58e-69, 2.32e-183j)
| (0.040188140890988212385 + 2.5980374342085973987e-826j)  +/-  (2.01e-71, 6.15e-186j)
| (0.011482745808077520331 - 3.7697904251299968492e-827j)  +/-  (6.27e-69, 1.91e-183j)
| (0.027175749349223262305 + 7.8244676504031006181e-828j)  +/-  (1.29e-70, 3.94e-185j)
| (0.042856139742031405487 - 2.6054291258191891568e-827j)  +/-  (3.78e-74, 1.15e-188j)
| (0.037276707634396754519 - 1.68619486137913173e-827j)  +/-  (9.61e-73, 2.94e-187j)
| (0.042856139742031405487 - 2.3940169232653299549e-826j)  +/-  (2.1e-73, 6.4e-188j)
| (0.045309676504109084496 + 2.2550962073956494212e-826j)  +/-  (2.02e-74, 6.17e-189j)
| (0.06400792678201999937 + 7.5510507722693264769e-827j)  +/-  (2.03e-78, 6.2e-193j)
| (0.040188140890988212385 + 2.1131574780777581186e-827j)  +/-  (2.91e-74, 8.9e-189j)
| (0.052073657485524790554 - 4.70781174529081346e-827j)  +/-  (1.73e-77, 5.28e-192j)
| (0.062564889436090556464 - 9.7427716782685082514e-827j)  +/-  (5.85e-79, 1.79e-193j)
| (0.047613733910749096546 - 2.1323097289978980373e-826j)  +/-  (1.93e-76, 5.89e-191j)
| (0.058327039356189711258 + 1.3495143109262088818e-826j)  +/-  (5.72e-79, 1.75e-193j)
| (0.045309676504109084496 + 3.1476188174526652546e-827j)  +/-  (5.77e-77, 1.76e-191j)
| (0.047613733910749096546 - 3.7074772865946439692e-827j)  +/-  (1.14e-77, 3.47e-192j)
| (0.063847293272886667549 - 7.0695693400363343378e-827j)  +/-  (2.08e-80, 6.36e-195j)
| (0.049850287974759285224 + 1.9993569730638390168e-826j)  +/-  (1.03e-78, 3.16e-193j)
| (0.054274274626802362228 + 1.6803016818684205418e-826j)  +/-  (6.13e-80, 1.87e-194j)
| (0.063365759789100215927 + 6.6783091412037304604e-827j)  +/-  (2.99e-81, 9.14e-196j)
| (0.049850287974759285224 + 4.2410047420475923367e-827j)  +/-  (2.74e-80, 8.36e-195j)
| (0.062564889436090556464 - 6.3590221706085180246e-827j)  +/-  (1.22e-81, 3.72e-196j)
| (0.060028857057219822337 - 1.2049125250938941669e-826j)  +/-  (5.85e-82, 1.79e-196j)
| (0.052073657485524790554 - 1.8471528601349918188e-826j)  +/-  (9.71e-81, 2.96e-195j)
| (0.063365759789100215927 + 8.865064826590330211e-827j)  +/-  (1.39e-82, 4.24e-197j)
| (0.058327039356189711258 + 5.6355250212832159957e-827j)  +/-  (4.96e-83, 1.51e-197j)
| (0.056386338669254635734 - 5.3888053697727380662e-827j)  +/-  (3.53e-83, 1.08e-197j)
| (0.063847293272886667549 - 8.1423207043561402727e-827j)  +/-  (5.97e-83, 1.83e-197j)
| (0.056386338669254635734 - 1.5105234220831152308e-826j)  +/-  (6.37e-83, 1.95e-197j)
| (0.061449056030356494036 + 1.0798470211113878942e-826j)  +/-  (3.2e-83, 9.77e-198j)
| (0.061449056030356494036 + 6.0932625589903558927e-827j)  +/-  (6.81e-84, 2.13e-198j)
| (0.054274274626802362228 + 5.0881366009550753746e-827j)  +/-  (5.25e-84, 1.53e-198j)
