Starting with polynomial:
P : 2*t
Extension levels are: 1 16 30
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P2 : 2*t^17 - 136*t^15 + 3570*t^13 - 46410*t^11 + 1276275/4*t^9 - 2297295/2*t^7 + 16081065/8*t^5 - 11486475/8*t^3 + 34459425/128*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^47 - 1023366470095438168087/1290748828758126367*t^45 + 368849091521700651190065/2581497657516252734*t^43 - 217867230480452181784448705/14013844426516800556*t^41 + 32068009887953432128165809125/28027688853033601112*t^39 - 3389898970750755239297664032565/56055377706067202224*t^37 + 266742239502836088302738792454115/112110755412134404448*t^35 - 15981668250943364593093227088287775/224221510824268808896*t^33 + 369849219444853792582517657517013575/224221510824268808896*t^31 - 13340593158299232330391404698152347375/448443021648537617792*t^29 + 376687608191992383159131397799792757625/896886043297075235584*t^27 - 8333079625044113879933399028187787347125/1793772086594150471168*t^25 + 144065233658106375801250985889745905253125/3587544173188300942336*t^23 - 1935072458961202468364143222311717970153125/7175088346376601884672*t^21 + 1052789225876048927345877311420346105290625/755272457513326514176*t^19 - 8261169086402558130032702589457233599833125/1510544915026653028352*t^17 + 96573074869579123947049772372395424360938125/6042179660106612113408*t^15 - 409781280126511221725875022674781568495103125/12084359320213224226816*t^13 + 1218671924375982261668243000464769639291071875/24168718640426448453632*t^11 - 2418481713655284021243430868330434195014234375/48337437280852896907264*t^9 + 2983605045727731212356793091297762649288846875/96674874561705793814528*t^7 - 2055427184313199842889421875481912116711096875/193349749123411587629056*t^5 + 662826147624291975137671238917029035745328125/386699498246823175258112*t^3 - 68466195912714957451185730923507542084390625/773398996493646350516224*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
  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:
| (6.7347802619885983604 - 6.7312866236249071765e-592j)  +/-  (6.87e-246, 6.87e-246j)
| (-6.221699939592583879 + 3.1607612043923890898e-592j)  +/-  (2.17e-245, 2.17e-245j)
| (-6.7347802619885983604 + 7.0403829554457691709e-592j)  +/-  (6.6e-246, 6.6e-246j)
| (-4.8713451936744030883 - 2.6985526860514795831e-590j)  +/-  (1.04e-244, 1.04e-244j)
| (5.7467251892519487204 + 9.0599559657537647202e-591j)  +/-  (5.16e-245, 5.16e-245j)
| (-1.0676487257434505536 + 9.6608770433837034077e-597j)  +/-  (1.42e-250, 1.42e-250j)
| (-5.7467251892519487204 + 8.9239606416593526875e-591j)  +/-  (4.45e-245, 4.45e-245j)
| (-4.4600837424463034974 + 8.5166451188948172432e-591j)  +/-  (1.23e-244, 1.23e-244j)
| (6.221699939592583879 + 4.436298980649551968e-591j)  +/-  (2.17e-245, 2.17e-245j)
| (-7.9964827488797070333 + 6.453462135043491113e-595j)  +/-  (1.02e-247, 1.02e-247j)
| (1.0676487257434505536 - 4.6274301235848092037e-596j)  +/-  (1.61e-250, 1.61e-250j)
| (4.4600837424463034974 + 2.2649261778749968432e-588j)  +/-  (1.09e-244, 1.09e-244j)
| (7.9964827488797070333 - 7.8326001158439923536e-602j)  +/-  (1.19e-247, 1.19e-247j)
| (-1.859046267800669938 - 6.8607146069904098423e-604j)  +/-  (8.27e-248, 8.27e-248j)
| (-3.3648958941046331021 - 5.6122277213100278953e-598j)  +/-  (3.06e-243, 3.06e-243j)
| (2.9938880579826211443 - 6.9641101399465856645e-597j)  +/-  (6.1e-245, 6.1e-245j)
| (2.4973968989868975938 - 4.4705557283245907068e-605j)  +/-  (4.12e-246, 4.12e-246j)
| (-5.2988000935376642593 + 1.6494452361523277477e-607j)  +/-  (8.06e-245, 8.06e-245j)
| (-1.3722226830321420345 - 8.4523801835981921084e-612j)  +/-  (2.21e-249, 2.21e-249j)
| (5.2988000935376642593 + 1.6780706169728437709e-605j)  +/-  (8.02e-245, 8.02e-245j)
| (3.6719976095721391271 + 5.4072382620382916415e-613j)  +/-  (2.29e-244, 2.29e-244j)
| (2.7577629157038887309 + 2.4207638365624722921e-633j)  +/-  (2.1e-245, 2.1e-245j)
| (-4.0619466758754743069 - 4.2461011382638882725e-648j)  +/-  (1.41e-244, 1.41e-244j)
| (-3.3789320911414940834 - 1.662150234681145693e-646j)  +/-  (3.07e-243, 3.07e-243j)
| (-2.4973968989868975938 + 3.2204037772267437406e-649j)  +/-  (3.66e-246, 3.66e-246j)
| (0.76233505887972301129 + 5.3701484408855001432e-654j)  +/-  (1.18e-251, 1.18e-251j)
| (0.53163300134265473135 + 3.9918094953692925193e-655j)  +/-  (1.87e-252, 1.87e-252j)
| (1.6129243142212313331 + 7.6463843097742428365e-651j)  +/-  (1.83e-248, 1.83e-248j)
| (-2.1735028266666208193 + 1.4020414365727706152e-649j)  +/-  (5.94e-247, 5.94e-247j)
| (-1.6129243142212313331 - 2.8832793080040987292e-651j)  +/-  (1.87e-248, 1.87e-248j)
| (7.3075129242355466538 - 5.265143174079047273e-648j)  +/-  (1.23e-246, 1.23e-246j)
| (2.1735028266666208193 - 5.5226221705084597748e-646j)  +/-  (5.27e-247, 5.27e-247j)
| (1.859046267800669938 + 4.976832092844610919e-651j)  +/-  (8.42e-248, 8.42e-248j)
| (4.0619466758754743069 + 1.8189185662861630585e-664j)  +/-  (1.35e-244, 1.35e-244j)
| (-7.3075129242355466538 - 4.341037380726098806e-694j)  +/-  (1.34e-246, 1.34e-246j)
| (-2.9938880579826211443 + 4.5869866731992711854e-698j)  +/-  (6.25e-245, 6.25e-245j)
| (4.8713451936744030883 - 8.5881415623698161563e-725j)  +/-  (1.04e-244, 1.04e-244j)
| (0.30352003800754661576 - 1.0628267933029629798e-759j)  +/-  (1.26e-253, 1.26e-253j)
| (3.3789320911414940834 - 5.684206377563401216e-774j)  +/-  (3.2e-243, 3.2e-243j)
| (-2.7577629157038887309 - 5.908383043098634867e-813j)  +/-  (2.1e-245, 2.1e-245j)
| (-0.76233505887972301129 - 1.2947908098457994728e-826j)  +/-  (1.18e-251, 1.18e-251j)
| (1.1193634160801218263e-830 - 4.0227972243651524557e-828j)  +/-  (1.89e-826, 1.89e-826j)
| (3.3648958941046331021 - 7.4396065571017899893e-819j)  +/-  (3.2e-243, 3.2e-243j)
| (1.3722226830321420345 - 2.1857338478147695472e-840j)  +/-  (2.29e-249, 2.29e-249j)
| (-3.6719976095721391271 - 5.7588328902620098393e-836j)  +/-  (2.26e-244, 2.26e-244j)
| (-0.53163300134265473135 + 1.1426023349679449036e-843j)  +/-  (1.92e-252, 1.92e-252j)
| (-0.30352003800754661576 + 1.4564707552550747536e-862j)  +/-  (1.33e-253, 1.33e-253j)
-------------------------------------------------
The weights are:
| (6.0768540856751336646e-21 - 2.4801943762725188779e-605j)  +/-  (7.23e-87, 2.67e-208j)
| (4.2826803458774890437e-18 - 3.1181230619906810433e-604j)  +/-  (1.38e-85, 5.08e-207j)
| (6.0768540856751336646e-21 + 5.2707225424681889079e-606j)  +/-  (2.49e-87, 9.18e-209j)
| (1.1684180099562105016e-11 + 5.0677201680598384078e-600j)  +/-  (7.41e-82, 2.73e-203j)
| (1.179649591409789578e-15 - 8.7653684367947546809e-602j)  +/-  (1.18e-86, 4.34e-208j)
| (0.056895791811773342724 - 7.4180801941220493205e-592j)  +/-  (3.1e-57, 1.14e-178j)
| (1.179649591409789578e-15 + 1.2078483719027879397e-602j)  +/-  (1.17e-84, 4.33e-206j)
| (5.2350982677834361176e-10 - 8.6255501056891239244e-599j)  +/-  (9.54e-81, 3.52e-202j)
| (4.2826803458774890437e-18 + 1.785054473104955465e-603j)  +/-  (2.03e-88, 7.5e-210j)
| (7.6030691858578177728e-29 + 1.1126932446473737496e-610j)  +/-  (9.62e-93, 3.55e-214j)
| (0.056895791811773342724 - 1.2187467780581854698e-591j)  +/-  (2.16e-61, 7.97e-183j)
| (5.2350982677834361176e-10 - 8.5886841454370679521e-597j)  +/-  (4.79e-84, 1.77e-205j)
| (7.6030691858578177728e-29 - 3.8041990937539527772e-610j)  +/-  (2.23e-94, 8.22e-216j)
| (0.0051562273097410785077 + 1.4304084589368318283e-592j)  +/-  (6.17e-71, 2.28e-192j)
| (1.1530337207246629959e-05 - 1.0652164021990499995e-593j)  +/-  (2.17e-79, 8.01e-201j)
| (2.1136835619894079792e-05 + 2.170819481402196529e-593j)  +/-  (3.83e-79, 1.41e-200j)
| (0.00034024834531004931488 + 7.1471693505285933243e-593j)  +/-  (6.04e-77, 2.23e-198j)
| (1.5773519859708369619e-13 - 3.5189984106301758816e-601j)  +/-  (1.78e-85, 6.57e-207j)
| (0.024164096755236526005 + 4.9531467855290577627e-592j)  +/-  (4.07e-70, 1.5e-191j)
| (1.5773519859708369619e-13 + 3.5326785237637911012e-600j)  +/-  (3.58e-87, 1.32e-208j)
| (3.0930984993306262061e-07 - 8.3315776835836328949e-595j)  +/-  (1.47e-82, 5.43e-204j)
| (5.941391411088759865e-05 - 4.5600641316353421766e-593j)  +/-  (1.33e-78, 4.91e-200j)
| (1.512634750202007656e-08 + 2.2994540433886639264e-597j)  +/-  (3.6e-83, 1.33e-204j)
| (-8.4880425826363465104e-06 + 9.8986953815638643272e-594j)  +/-  (3.67e-80, 1.36e-201j)
| (0.00034024834531004931488 + 1.9647342262202632084e-593j)  +/-  (3.99e-79, 1.47e-200j)
| (0.088910310434841655405 + 2.1712100946119429435e-591j)  +/-  (5.04e-72, 1.86e-193j)
| (0.081680805703609888396 - 3.1268363817114453294e-591j)  +/-  (4.46e-72, 1.65e-193j)
| (0.0089481076027310653635 - 7.1265448879186270778e-592j)  +/-  (7.97e-77, 2.94e-198j)
| (0.001643324139729755636 - 4.5471241247471714503e-593j)  +/-  (7.09e-78, 2.62e-199j)
| (0.0089481076027310653635 - 3.2964331618268863371e-592j)  +/-  (1.69e-75, 6.22e-197j)
| (2.2358538756808207808e-24 + 1.8067458185084261202e-607j)  +/-  (1.78e-95, 6.57e-217j)
| (0.001643324139729755636 - 1.3464127267223424307e-592j)  +/-  (8.41e-80, 3.1e-201j)
| (0.0051562273097410785077 + 3.532046350292216479e-592j)  +/-  (8.14e-79, 3e-200j)
| (1.512634750202007656e-08 + 5.6735807913467333834e-596j)  +/-  (1.33e-86, 4.92e-208j)
| (2.2358538756808207808e-24 - 4.5335057431189708257e-608j)  +/-  (1.01e-96, 3.73e-218j)
| (2.1136835619894079792e-05 + 4.111196896343734451e-594j)  +/-  (1.24e-83, 4.57e-205j)
| (1.1684180099562105016e-11 - 1.530882796205968288e-598j)  +/-  (3.66e-89, 1.35e-210j)
| (0.14355612203352740406 + 2.8089311330369127768e-591j)  +/-  (5.49e-80, 2.02e-201j)
| (-8.4880425826363465104e-06 + 7.5725002373756748155e-593j)  +/-  (5.22e-85, 1.92e-206j)
| (5.941391411088759865e-05 - 1.0422205193844593668e-593j)  +/-  (6.22e-85, 2.3e-206j)
| (0.088910310434841655405 + 1.5285405569019414499e-591j)  +/-  (1.38e-82, 5.09e-204j)
| (0.17724209569518696306 - 2.1855452505055547721e-591j)  +/-  (1.89e-82, 6.94e-204j)
| (1.1530337207246629959e-05 - 8.0240964145685853717e-593j)  +/-  (5.5e-85, 2.03e-206j)
| (0.024164096755236526005 + 9.459150186541329844e-592j)  +/-  (3.46e-83, 1.27e-204j)
| (3.0930984993306262061e-07 - 7.495336412836943095e-596j)  +/-  (2.03e-87, 7.5e-209j)
| (0.081680805703609888396 - 2.451116021881403802e-591j)  +/-  (2.31e-83, 8.66e-205j)
| (0.14355612203352740406 + 2.4455175529510888296e-591j)  +/-  (2.31e-83, 8.31e-205j)
