Starting with polynomial:
P : 2*t
Extension levels are: 1 14 30
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P2 : 2*t^15 - 105*t^13 + 4095/2*t^11 - 75075/4*t^9 + 675675/8*t^7 - 2837835/16*t^5 + 4729725/32*t^3 - 2027025/64*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^45 - 550629093772008855/697360773473122*t^43 + 197784449861096282695/1394721546946244*t^41 - 128729168455176283047725/8368329281677464*t^39 + 119622956296494199863034175/105998837567914544*t^37 - 3148825292271888371304475495/52999418783957272*t^35 + 1570626272548404655068578745925/675742589495455218*t^33 - 2380924899048905426491396438225/34487660069943488*t^31 + 2066978079179319956476760635372125/1310531082657852544*t^29 - 571499753876575689146185804179125/20477048166528946*t^27 + 502476581961854431266195968889907125/1310531082657852544*t^25 - 21400141231949727487090454270777053125/5242124330631410176*t^23 + 87814516066877790428625652432712146875/2621062165315705088*t^21 - 463423815220866362067122659265882596875/2207210244476383232*t^19 + 257341551381347878452359428518807421875/259671793467809792*t^17 - 1795390169041168642642665080429510844375/519343586935619584*t^15 + 4510945788551249273082680779233156571875/519343586935619584*t^13 - 63052527533084922191305725448382853196875/4154748695484956672*t^11 + 145878750311630257193266171345207336171875/8309497390969913344*t^9 - 207987495270228335527795184857486243734375/16618994781939826688*t^7 + 163240501644024033538445231932894673240625/33237989563879653376*t^5 - 28835277637464415939462756324775300109375/33237989563879653376*t^3 + 2888447515571841983999462024328605203125/66475979127759306752*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:
| (5.692182310745646062 - 2.9561994488489239528e-567j)  +/-  (7.06e-245, 7.06e-245j)
| (-6.6741965468108618608 + 3.0943902270280759983e-586j)  +/-  (8.21e-246, 8.21e-246j)
| (7.2445891390053441531 - 1.2700754342358872881e-591j)  +/-  (1.54e-246, 1.54e-246j)
| (4.4999907073093915537 + 6.5897863454122677413e-615j)  +/-  (3.45e-243, 3.45e-243j)
| (6.6741965468108618608 - 4.5247615074843223918e-631j)  +/-  (8.27e-246, 8.27e-246j)
| (7.9315852571496700553 + 6.917342530453910476e-635j)  +/-  (1.2e-247, 1.2e-247j)
| (-4.8203406368188777382 + 2.6682817961766864361e-632j)  +/-  (3.71e-244, 3.71e-244j)
| (-7.9315852571496700553 + 8.7025535907434786622e-636j)  +/-  (1.3e-247, 1.3e-247j)
| (-4.4999907073093915537 - 4.7538027777044134895e-632j)  +/-  (3.56e-243, 3.56e-243j)
| (5.247647883096209853 - 2.0429711479766769281e-633j)  +/-  (1.67e-244, 1.67e-244j)
| (-7.2445891390053441531 - 6.2415171013048715235e-641j)  +/-  (1.59e-246, 1.59e-246j)
| (6.1639075259933979932 + 4.7980902473519561138e-637j)  +/-  (2.85e-245, 2.85e-245j)
| (-2.6396549935402860278 - 1.5202142482249928105e-644j)  +/-  (1.05e-246, 1.05e-246j)
| (-4.04551097658413984 - 5.2823661544512783462e-643j)  +/-  (1.2e-244, 1.2e-244j)
| (-3.6699503734044525347 + 2.0963248210182332886e-643j)  +/-  (3.73e-245, 3.73e-245j)
| (-6.1639075259933979932 + 2.9179826795216909355e-643j)  +/-  (3.01e-245, 3.01e-245j)
| (1.1361155852109206663 - 1.3004028484138442526e-647j)  +/-  (1.66e-250, 1.66e-250j)
| (-4.4697655538150797732 - 1.0984819881448346077e-641j)  +/-  (3.48e-243, 3.48e-243j)
| (-2.0203448358035983952 + 1.1073696991517704347e-646j)  +/-  (5.37e-248, 5.37e-248j)
| (4.8203406368188777382 + 4.5296885748028473053e-640j)  +/-  (4.09e-244, 4.09e-244j)
| (3.6699503734044525347 + 5.8008665218970605333e-650j)  +/-  (3.8e-245, 3.8e-245j)
| (3.3106221130012322294 - 6.8866359505715669364e-660j)  +/-  (1.13e-245, 1.13e-245j)
| (-2.9671669279056032485 + 1.7469359805391793021e-673j)  +/-  (3.71e-246, 3.71e-246j)
| (-5.692182310745646062 + 1.5983296897096043553e-672j)  +/-  (6.98e-245, 6.98e-245j)
| (-1.1361155852109206663 - 2.7755787838361147622e-677j)  +/-  (1.64e-250, 1.64e-250j)
| (0.56506958325557574853 + 6.3631252469571309414e-679j)  +/-  (1.25e-252, 1.25e-252j)
| (1.7199925751864889324 - 6.1399443806672542156e-675j)  +/-  (9.08e-249, 9.08e-249j)
| (1.4250855477231578519 - 4.077771065970390826e-676j)  +/-  (1.28e-249, 1.28e-249j)
| (-0.85032594407690733651 - 1.2250493753751411037e-678j)  +/-  (1.64e-251, 1.64e-251j)
| (-1.4250855477231578519 + 1.2889951501973631247e-676j)  +/-  (1.26e-249, 1.26e-249j)
| (-5.247647883096209853 - 4.200169905959567875e-672j)  +/-  (1.62e-244, 1.62e-244j)
| (-3.411607103324839088e-688 - 2.0935408582520843089e-688j)  +/-  (1.8e-686, 1.8e-686j)
| (2.0203448358035983952 + 2.293981158205474413e-670j)  +/-  (5.21e-248, 5.21e-248j)
| (-0.56506958325557574853 - 1.4203384843064819433e-681j)  +/-  (1.21e-252, 1.21e-252j)
| (-2.3257324861738577455 - 3.7086066362675931042e-676j)  +/-  (2.6e-247, 2.6e-247j)
| (-1.7199925751864889324 - 6.1100765173133160356e-678j)  +/-  (9.18e-249, 9.18e-249j)
| (2.9671669279056032485 - 6.1207877856345175949e-672j)  +/-  (3.68e-246, 3.68e-246j)
| (0.28128297553834610462 - 5.7546249326231194268e-697j)  +/-  (8.68e-254, 8.68e-254j)
| (2.3257324861738577455 + 4.5888220017653029846e-687j)  +/-  (2.33e-247, 2.33e-247j)
| (-3.3106221130012322294 - 7.2603627149554867287e-699j)  +/-  (1.16e-245, 1.16e-245j)
| (-0.28128297553834610462 - 1.3297587452604619893e-707j)  +/-  (8.68e-254, 8.68e-254j)
| (4.04551097658413984 + 1.0529872505874221743e-708j)  +/-  (1.24e-244, 1.24e-244j)
| (2.6396549935402860278 - 1.8940761053161196814e-729j)  +/-  (1.1e-246, 1.1e-246j)
| (0.85032594407690733651 - 6.4074119100458419004e-748j)  +/-  (1.35e-251, 1.35e-251j)
| (4.4697655538150797732 + 6.2865757142787952631e-762j)  +/-  (3.51e-243, 3.51e-243j)
-------------------------------------------------
The weights are:
| (2.1850479624358484216e-15 + 4.8943055242025278599e-581j)  +/-  (4.28e-84, 4.67e-204j)
| (1.3627487975107202258e-20 + 2.8062529934898141901e-586j)  +/-  (3.83e-88, 4.17e-208j)
| (5.5667845281646397854e-24 + 2.2208654142770424731e-587j)  +/-  (4.55e-89, 4.97e-209j)
| (-5.6548142413051097206e-10 - 3.7241704188524873912e-577j)  +/-  (4.46e-81, 4.86e-201j)
| (1.3627487975107202258e-20 - 3.5338782690867683027e-585j)  +/-  (1.21e-87, 1.32e-207j)
| (2.1325908489046682181e-28 - 4.5059228006384676683e-590j)  +/-  (2.39e-91, 2.61e-211j)
| (1.952778591317080058e-11 + 6.2848557851266814181e-580j)  +/-  (1.21e-85, 1.32e-205j)
| (2.1325908489046682181e-28 + 7.4065978781064236979e-591j)  +/-  (6.89e-95, 7.52e-215j)
| (-5.6548142413051097206e-10 - 4.3562100989224385996e-578j)  +/-  (7.33e-85, 8e-205j)
| (2.6863845588905358027e-13 - 4.2015672151745798402e-580j)  +/-  (3.31e-86, 3.61e-206j)
| (5.5667845281646397854e-24 - 2.6650286334275819243e-588j)  +/-  (2.62e-93, 2.86e-213j)
| (8.707550100417534358e-18 + 3.8696227012556519024e-583j)  +/-  (2.02e-88, 2.21e-208j)
| (0.00017003488408684089511 - 9.7398191557633545192e-576j)  +/-  (1.36e-79, 1.49e-199j)
| (1.6943707441595076123e-08 - 3.1947439126019005793e-578j)  +/-  (9.42e-85, 1.03e-204j)
| (2.9308022032766894603e-07 + 1.370904790288649278e-577j)  +/-  (5.14e-84, 5.61e-204j)
| (8.707550100417534358e-18 - 1.5396295294768752085e-584j)  +/-  (6.97e-92, 7.6e-212j)
| (0.044495474883324368683 + 1.19125896966206071e-573j)  +/-  (1.66e-73, 1.81e-193j)
| (1.1759275324280052634e-09 + 5.0063466054086509744e-578j)  +/-  (4.6e-85, 5.02e-205j)
| (0.0028818451111410913979 - 8.5171509610431305362e-575j)  +/-  (1.62e-79, 1.77e-199j)
| (1.952778591317080058e-11 + 7.5781753315026227115e-579j)  +/-  (3.62e-89, 3.94e-209j)
| (2.9308022032766894603e-07 + 6.3467460418482310896e-577j)  +/-  (8.81e-88, 9.6e-208j)
| (3.4463108288057884156e-06 - 2.3439589004054586392e-576j)  +/-  (4.52e-87, 4.93e-207j)
| (2.8404918092036361049e-05 + 2.6158913328834246198e-576j)  +/-  (8.71e-85, 9.5e-205j)
| (2.1850479624358484216e-15 + 5.6739552860659929477e-583j)  +/-  (3.42e-92, 3.73e-212j)
| (0.044495474883324368683 + 7.948474767607910682e-574j)  +/-  (1.42e-79, 1.55e-199j)
| (0.11679688879593241715 + 2.2182623689935518925e-573j)  +/-  (1.14e-79, 1.24e-199j)
| (0.008723388597069442367 + 3.8094761204196910762e-574j)  +/-  (1.74e-83, 1.89e-203j)
| (0.021599864720378504235 - 7.1899346631667331452e-574j)  +/-  (3.89e-82, 4.24e-202j)
| (0.078133128109239394418 - 1.2781446510223619109e-573j)  +/-  (4.98e-80, 5.43e-200j)
| (0.021599864720378504235 - 4.3106635211200864101e-574j)  +/-  (2.28e-81, 2.49e-201j)
| (2.6863845588905358027e-13 - 1.7072854369162314879e-581j)  +/-  (6.38e-91, 6.96e-211j)
| (0.15833751156029209391 + 2.5856168031139512855e-573j)  +/-  (2.56e-81, 2.79e-201j)
| (0.0028818451111410913979 - 1.7889887133236988218e-574j)  +/-  (1.98e-85, 2.15e-205j)
| (0.11679688879593241715 + 1.8176160106136353412e-573j)  +/-  (1.2e-81, 1.3e-201j)
| (0.00077970853262210822283 + 3.1082706934299691623e-575j)  +/-  (1.71e-84, 1.86e-204j)
| (0.008723388597069442367 + 2.041500932757047604e-574j)  +/-  (4.27e-83, 4.65e-203j)
| (2.8404918092036361049e-05 + 8.3125830277663948676e-576j)  +/-  (4.42e-89, 4.82e-209j)
| (0.14721874870296644782 - 2.5452036559621579767e-573j)  +/-  (1.22e-83, 1.34e-203j)
| (0.00077970853262210822283 + 7.4030063967620400535e-575j)  +/-  (1.31e-87, 1.44e-207j)
| (3.4463108288057884156e-06 - 6.2006003458543570163e-577j)  +/-  (8.01e-88, 8.88e-208j)
| (0.14721874870296644782 - 2.3055027710021390862e-573j)  +/-  (5.58e-84, 6.16e-204j)
| (1.6943707441595076123e-08 - 1.8892316704063056691e-577j)  +/-  (9.27e-92, 1.03e-211j)
| (0.00017003488408684089511 - 2.658472149342878143e-575j)  +/-  (4.31e-89, 4.46e-209j)
| (0.078133128109239394418 - 1.7270797183776123353e-573j)  +/-  (1.31e-86, 1.14e-206j)
| (1.1759275324280052634e-09 + 4.1617748535962644882e-577j)  +/-  (1.31e-91, 1.48e-211j)
