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 30
-------------------------------------------------
Trying to find an order 30 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
-------------------------------------------------
Ending with final polynomial:
P : 5014575/2048*t^44 - 1258490082332805172340951579505461190751778798069480785816898225/46251596947725885144840095835235901256000382845426498623488*t^42 + 17432444305309487031534066117286331198921269870879857837469401171/123707182247170946226438749477120681099096914391363340496384*t^40 - 111743020900610231216238742902191688906873849362517891946965316815/247414364494341892452877498954241362198193828782726680992768*t^38 + 2428055701979144365103884513043885454812160233803466812111072314438435/2420207313483652391974047694770389005022732033152632393471256576*t^36 - 16950577562885448213865138052773954294175990001883487796216692942676735/10340885793975605674798203786746207566915309596197611135740823552*t^34 + 242645399678999489568363804921988046569573363061066088216215292901345195/118920186630719465260179343547581387019526060356272528061019470848*t^32 - 75311248392557571820637600801249808695350032920642036385481834451415611141/38084189768487908749572434771112939193003220829096277111541485539072*t^30 + 76784905905073749778125927440029207331132968423687410310916747497662104395/50778919691317211666096579694817252257337627772128369482055314052096*t^28 - 6666729509266622943417337671768538789434614301913109690412466495658688945/7254131384473887380870939956402464608191089681732624211722187721728*t^26 + 7668638708751385939898482958534242810719948281446745598640589985763786575/17228562038125482529568482396455853444453837994114982502840195839104*t^24 - 514026110214753051713780613016270681473001346653762063863608121309791925/2996271658804431744272779547209713642513710955498257826580903624192*t^22 + 282592270203072814031313350628885392201269675941245866018331634171497990985/5399281529165586003179548744071903983809707141807860603498788330793984*t^20 - 273972106319116599157256457045683766635480304427592842073556347090244587175/21881298828723690644464487015449295092281444732589750866810879024796672*t^18 + 8037700121909255481834553091261918876740519585420237528454229074063621475/3471044992598888245915533379017752210877818378506281598447820250317312*t^16 - 2026861504267915315654059063050310686513713842425136167356774418411030612325/6246145464181699398525002315542445103474634172122053736406852540446002944*t^14 + 297839876654066034817366013013431816404586147003524592811204604554876425/8889728467079451198754673283106130729015668631378123090420711674714112*t^12 - 22396929461371232685560342667835228661516348712584698032521023236983835/9140143353476055457874523234742923143917518451980323740855097919072256*t^10 + 19457048936429310980563022237458156666652931266562124761970132979505825/162237544524199984377272787416686885804535952522650746400177988063532544*t^8 - 166930568741042951061122928625442569050735847227287728050475125471525/46353584149771424107792224976196253087010272149328784685765139446723584*t^6 + 37234385667786827260693180219463648148106423288762383870724413875625/648950178096799937509091149666747543218143810090602985600711952254130176*t^4 - 1652254119533198896998607395208996954784366085766047694810460718375/4542651246677599562563638047667232802527006670634220899204983665778911232*t^2 + 871905154070648013417324268816062303262163556496134443056778025/2271325623338799781281819023833616401263503335317110449602491832889455616
-------------------------------------------------
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:
| (-0.036081024245924335233 - 5.2632703638236206369e-898j)  +/-  (5.28e-255, 5.28e-255j)
| (0.99540495361190882415 - 2.8756479390678223686e-881j)  +/-  (1.11e-239, 1.11e-239j)
| (-0.92843488366357351734 - 2.92860599095705515e-899j)  +/-  (2.82e-240, 2.82e-240j)
| (0.999463329770759213 + 7.6375244419992750818e-897j)  +/-  (4.73e-240, 4.73e-240j)
| (0.89931830685581768759 - 1.9633802934559021414e-914j)  +/-  (1.21e-240, 1.21e-240j)
| (0.7845745500111451054 - 7.1072972288637492074e-926j)  +/-  (2.72e-242, 2.72e-242j)
| (-0.98628380869681233884 + 2.5881819902730128132e-930j)  +/-  (1.11e-239, 1.11e-239j)
| (-0.89931830685581768759 + 9.6924333209539531639e-935j)  +/-  (1.21e-240, 1.21e-240j)
| (0.38662064184118701372 + 2.5609670661245298584e-942j)  +/-  (1.17e-248, 1.17e-248j)
| (-0.9720311160808297287 + 4.5828850448021701393e-933j)  +/-  (9.51e-240, 9.51e-240j)
| (0.95271457888722698661 + 2.8914521374433677617e-936j)  +/-  (5.45e-240, 5.45e-240j)
| (-0.99540495361190882415 - 3.1238910042961081909e-959j)  +/-  (1.13e-239, 1.13e-239j)
| (-0.82720131506976499319 - 2.049600192606281661e-968j)  +/-  (1.24e-241, 1.24e-241j)
| (-0.86551550070975484135 + 4.2721390532121945367e-967j)  +/-  (3.84e-241, 3.84e-241j)
| (0.9720311160808297287 - 1.9900255320057890001e-964j)  +/-  (7.91e-240, 7.91e-240j)
| (0.82720131506976499319 + 2.8506241282610858786e-981j)  +/-  (1.2e-241, 1.2e-241j)
| (-0.95271457888722698661 + 8.1486146313467238036e-986j)  +/-  (5.07e-240, 5.07e-240j)
| (-0.999463329770759213 + 2.1283941849202718782e-987j)  +/-  (4.52e-240, 4.52e-240j)
| (-0.7845745500111451054 + 4.6310226005801748465e-990j)  +/-  (3.22e-242, 3.22e-242j)
| (-0.73785716343853196382 - 2.32543972143463227e-991j)  +/-  (5.62e-243, 5.62e-243j)
| (0.31911236892788976044 + 1.9853320622047556471e-998j)  +/-  (7.49e-250, 7.49e-250j)
| (0.51524863635815409197 - 3.6889595726233229088e-994j)  +/-  (1.95e-246, 1.95e-246j)
| (0.98628380869681233884 - 3.3053870155045494156e-985j)  +/-  (1.12e-239, 1.12e-239j)
| (-0.68729290481168547015 - 2.4019423441287471038e-999j)  +/-  (1.08e-243, 1.08e-243j)
| (-0.57569777124731167314 + 1.703925515876447293e-1001j)  +/-  (1.67e-245, 1.67e-245j)
| (0.4521132296384424011 + 3.0026074602018854536e-1002j)  +/-  (1.67e-247, 1.67e-247j)
| (0.63314565215095638848 + 1.8283962891194486328e-999j)  +/-  (1.55e-244, 1.55e-244j)
| (0.86551550070975484135 + 6.2691446133173108683e-996j)  +/-  (4.11e-241, 4.11e-241j)
| (-0.17946550785603805485 + 1.1636785676055042492e-1012j)  +/-  (2.09e-252, 2.09e-252j)
| (-0.63314565215095638848 - 2.6258145627580651392e-1004j)  +/-  (1.5e-244, 1.5e-244j)
| (-0.24994044181162626695 - 1.1981858780053662425e-1010j)  +/-  (4.48e-251, 4.48e-251j)
| (0.73785716343853196382 + 9.6884373749607879458e-1001j)  +/-  (5.63e-243, 5.63e-243j)
| (0.68729290481168547015 - 1.1149840016962607687e-1002j)  +/-  (1.01e-243, 1.01e-243j)
| (0.10805494870734366207 + 3.6378472478476270183e-1014j)  +/-  (9.42e-254, 9.42e-254j)
| (-0.4521132296384424011 + 3.3350707860884842061e-1008j)  +/-  (1.59e-247, 1.59e-247j)
| (-0.38662064184118701372 + 5.9056207048152800577e-1010j)  +/-  (1.17e-248, 1.17e-248j)
| (0.036081024245924335233 + 5.7499095618088402524e-1017j)  +/-  (5.28e-255, 5.28e-255j)
| (0.57569777124731167314 - 3.2325294779995254717e-1005j)  +/-  (1.72e-245, 1.72e-245j)
| (0.24994044181162626695 + 5.1728302489823170569e-1011j)  +/-  (4.39e-251, 4.39e-251j)
| (-0.31911236892788976044 + 7.3152650397375999588e-1011j)  +/-  (7.87e-250, 7.87e-250j)
| (-0.51524863635815409197 - 1.5801579313248980004e-1007j)  +/-  (2e-246, 2e-246j)
| (-0.10805494870734366207 - 2.2816350790843451251e-1014j)  +/-  (9.42e-254, 9.42e-254j)
| (0.17946550785603805485 - 1.6358514920227380654e-1012j)  +/-  (2.06e-252, 2.06e-252j)
| (0.92843488366357351734 + 1.412210514551986185e-1011j)  +/-  (2.77e-240, 2.77e-240j)
-------------------------------------------------
The weights are:
| (0.0721306775952905366 - 6.4380038820540647805e-883j)  +/-  (7.08e-73, 1.75e-188j)
| (0.0065481798925371054419 + 2.1149312101161586992e-882j)  +/-  (3.47e-73, 8.55e-189j)
| (0.026721225506731791714 - 2.0887223428615555008e-883j)  +/-  (3.49e-74, 8.61e-190j)
| (0.0017489335974400817007 + 1.8001631789444149078e-881j)  +/-  (2.5e-73, 6.16e-189j)
| (0.031486818676589186943 - 4.548208759698462846e-882j)  +/-  (3.17e-74, 7.81e-190j)
| (0.044710937835130744433 + 2.4761692422864249526e-882j)  +/-  (1.02e-74, 2.52e-190j)
| (0.011694444672988132763 + 1.316584887868340904e-883j)  +/-  (8.56e-75, 2.11e-190j)
| (0.031486818676589186943 + 2.3065222113662310708e-883j)  +/-  (1.21e-74, 2.98e-190j)
| (0.066558288307060908186 - 1.0476572659218811597e-882j)  +/-  (3.97e-75, 9.79e-191j)
| (0.016799116564911906685 - 1.6065055616383887187e-883j)  +/-  (6.23e-75, 1.54e-190j)
| (0.021817104502537018386 - 8.4800777347788493309e-882j)  +/-  (5.99e-76, 1.48e-191j)
| (0.0065481798925371054419 - 9.4585926784333015466e-884j)  +/-  (1.77e-75, 4.37e-191j)
| (0.040505575746326014442 + 2.7249240414052334857e-883j)  +/-  (5.61e-77, 1.38e-192j)
| (0.036089648993250799804 - 2.5172310900839960742e-883j)  +/-  (2.08e-76, 5.13e-192j)
| (0.016799116564911906685 + 1.3522370829893581138e-881j)  +/-  (5.47e-78, 1.35e-193j)
| (0.040505575746326014442 - 2.9526493496763569823e-882j)  +/-  (5.92e-79, 1.46e-194j)
| (0.021817104502537018386 + 1.8582930367097517736e-883j)  +/-  (7.05e-76, 1.74e-191j)
| (0.0017489335974400817007 + 3.6622665207148967423e-884j)  +/-  (4.13e-76, 1.02e-191j)
| (0.044710937835130744433 - 2.9329088322221435971e-883j)  +/-  (1.03e-78, 2.54e-194j)
| (0.048683181824929736153 + 3.1440283463733428248e-883j)  +/-  (1.19e-79, 2.94e-195j)
| (0.068399553496535727594 + 9.5609050455677063663e-883j)  +/-  (2.29e-82, 5.64e-198j)
| (0.061845996685681936039 - 1.2802097573477207551e-882j)  +/-  (7.51e-83, 1.85e-198j)
| (0.011694444672988132763 - 2.860453924589992205e-881j)  +/-  (1.2e-80, 2.96e-196j)
| (0.052401328064893559254 - 3.3608262909971287581e-883j)  +/-  (1.81e-81, 4.46e-197j)
| (0.05899975136000910044 - 3.8209580414254491151e-883j)  +/-  (3.84e-83, 9.48e-199j)
| (0.064369939785197604727 + 1.1544048859268928143e-882j)  +/-  (6.67e-83, 1.64e-198j)
| (0.055846091895201689987 - 1.6119581004919815225e-882j)  +/-  (1.02e-83, 2.51e-199j)
| (0.036089648993250799804 + 3.606425863784699339e-882j)  +/-  (7.18e-83, 1.77e-198j)
| (0.071004445387586875006 - 5.6078220101226969242e-883j)  +/-  (2.21e-85, 5.46e-201j)
| (0.055846091895201689987 + 3.5856841869215941245e-883j)  +/-  (2.99e-83, 7.38e-199j)
| (0.069884161516617963442 + 5.2483952484388460913e-883j)  +/-  (1.54e-85, 3.79e-201j)
| (0.048683181824929736153 - 2.1158889478466096188e-882j)  +/-  (3.12e-84, 7.69e-200j)
| (0.052401328064893559254 + 1.8354540902947257328e-882j)  +/-  (1.79e-84, 4.43e-200j)
| (0.071754598092551580258 - 7.4641494590755511725e-883j)  +/-  (7.68e-87, 1.89e-202j)
| (0.064369939785197604727 - 4.3327857839430156594e-883j)  +/-  (1.19e-86, 2.94e-202j)
| (0.066558288307060908186 + 4.6149456978526294537e-883j)  +/-  (5.63e-87, 1.39e-202j)
| (0.0721306775952905366 + 6.9222819596733109392e-883j)  +/-  (1.9e-87, 4.7e-203j)
| (0.05899975136000910044 + 1.4303109031003910224e-882j)  +/-  (1.05e-86, 2.6e-202j)
| (0.069884161516617963442 - 8.7677746593484494999e-883j)  +/-  (1.18e-87, 2.91e-203j)
| (0.068399553496535727594 - 4.9188923373732839137e-883j)  +/-  (8.28e-88, 2.03e-203j)
| (0.061845996685681936039 + 4.0691049654380799976e-883j)  +/-  (8.09e-88, 1.98e-203j)
| (0.071754598092551580258 + 6.0023142165820501821e-883j)  +/-  (4.55e-88, 1.11e-203j)
| (0.071004445387586875006 + 8.0746977819653502408e-883j)  +/-  (2.89e-88, 7.24e-204j)
| (0.026721225506731791714 + 6.0002434748902711637e-882j)  +/-  (7.43e-89, 1.52e-204j)
