Starting with polynomial:
P : -t+1
Extension levels are: 1 44
-------------------------------------------------
Trying to find an order 44 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^45 + 1897153827280726709379020905010070859857450416165080442881/957899008650469802440348318757402617390661577667401905*t^44 - 1795216172858836002614213697671236574074849181151954523236616/957899008650469802440348318757402617390661577667401905*t^43 + 25140486653042309224543337283195718633243504485537593547956744/22276721131406274475356937645520991102108408782962835*t^42 - 10826347799342614363522778700798737449793649282182652967919198472/22276721131406274475356937645520991102108408782962835*t^41 + 3552202119053978354703178130793884394658308179594972978315900768808/22276721131406274475356937645520991102108408782962835*t^40 - 184777925758345053887466563326892440463786211761074028203592907270912/4455344226281254895071387529104198220421681756592567*t^39 + 39134259179889561398878782238629557399450813806920426542049107650344192/4455344226281254895071387529104198220421681756592567*t^38 - 6880464117274570198310666955424311071037729717156681947389942353401422464/4455344226281254895071387529104198220421681756592567*t^37 + 1018717689508972564253929342029591805120967816135869625721543160247624257152/4455344226281254895071387529104198220421681756592567*t^36 - 128412907698421721593201321361617497157345469390277441748957619558169925567488/4455344226281254895071387529104198220421681756592567*t^35 + 13898182134062612145671764999576806641317413592404460955035815981509408234081280/4455344226281254895071387529104198220421681756592567*t^34 - 1300098859407161758640848002189778854374754115745896710210393840798657868280570880/4455344226281254895071387529104198220421681756592567*t^33 + 105661440203899373688752238304518022346732965873552942263715033699020719038639887360/4455344226281254895071387529104198220421681756592567*t^32 - 7490896386289847198931972059613113156084465262643171763692150061263052104845196001280/4455344226281254895071387529104198220421681756592567*t^31 + 464702002235605595996253435929392503149073152180049824960132871078443243700640056606720/4455344226281254895071387529104198220421681756592567*t^30 - 25283657399413592706427417232225900068031337930005275064609362213048140893486131278643200/4455344226281254895071387529104198220421681756592567*t^29 + 1208458979562090923918420687127596459548992270173611213332509506464256899148839360754483200/4455344226281254895071387529104198220421681756592567*t^28 - 50791028610614835942950140027805416246019227051066609216965941455265419916459942021195366400/4455344226281254895071387529104198220421681756592567*t^27 + 1878017378695837883608611079098150215952443709363295420663289515395994588232876214959289139200/4455344226281254895071387529104198220421681756592567*t^26 - 61085495685561184058180001562133322104429249574869745993265519101504444700039470900160679116800/4455344226281254895071387529104198220421681756592567*t^25 + 1746845356285804989594909186034201396121008981347026987146186088768579533268087075437422182400000/4455344226281254895071387529104198220421681756592567*t^24 - 43872087472866164604621736939764944193430561536351013669837547582138259690059205638364227174400000/4455344226281254895071387529104198220421681756592567*t^23 + 966197511021191548987447313020955610360936422268264195825587493141717143163831751392255855820800000/4455344226281254895071387529104198220421681756592567*t^22 - 18620629705023636460049992641284236336171560238875844057772379736534128654702085757559712147046400000/4455344226281254895071387529104198220421681756592567*t^21 + 313220713422555212673769233250433109110333122369827473335215062294689602428788078286425546398105600000/4455344226281254895071387529104198220421681756592567*t^20 - 4584207982284515049111639943209419834624614186552077807558851477491033467517405597069196469574041600000/4455344226281254895071387529104198220421681756592567*t^19 + 58156241061578267509731378536416934729403354187681648794714679401863962480797349520830637075437977600000/4455344226281254895071387529104198220421681756592567*t^18 - 636659115308792791198368180629105963609269459195503834165363130425596096652545765821231918524609331200000/4455344226281254895071387529104198220421681756592567*t^17 + 5982972086349211670213279894908269476268478392736792100480705889575016302183325190047191916510550425600000/4455344226281254895071387529104198220421681756592567*t^16 - 47968484541502723006099664832108286864328937363489348782812982996554644183995478716439865880717190758400000/4455344226281254895071387529104198220421681756592567*t^15 + 325758439931798030514043605684672635306856235468244068365899581950501889761483259919591327955563839488000000/4455344226281254895071387529104198220421681756592567*t^14 - 1858070961462640707900869634258232271705656084355062134536652388825039471640467704786165052395548049408000000/4455344226281254895071387529104198220421681756592567*t^13 + 8812947873938488573777107546816234733772793811301359400185960686556062811367355296771418616960370343936000000/4455344226281254895071387529104198220421681756592567*t^12 - 34349591511369492992604337527302276600309969620092092364780211970216274846161250157610917843576918376448000000/4455344226281254895071387529104198220421681756592567*t^11 + 108463558991633582717358123763795846946296866105884747721488575704526614293235266895695322718515455066112000000/4455344226281254895071387529104198220421681756592567*t^10 - 272710202899892233183328874814455064889148754236570568600459892930213789217536302668869169144704343736320000000/4455344226281254895071387529104198220421681756592567*t^9 + 534452759369323936872802699272639322949332521959469293944312787058814746953052594076361021345300710686720000000/4455344226281254895071387529104198220421681756592567*t^8 - 794764279189243832295317707480145645165499062615693277735050693143896414129408885142409690074819948707840000000/4455344226281254895071387529104198220421681756592567*t^7 + 866166209391730206096257677285469275187052442858263198701730014204741700251785258601123834615227031224320000000/4455344226281254895071387529104198220421681756592567*t^6 - 660404184283430960608558411424756927341860841725589820531941318705821422937651110744067329684343021895680000000/4455344226281254895071387529104198220421681756592567*t^5 + 330035841533112643738100556885726528667911271267526074531905868675228851005302127284831224521330314444800000000/4455344226281254895071387529104198220421681756592567*t^4 - 98051887559855635505786623730644851727964721958628502655681749256429548980195090998880159522792197324800000000/4455344226281254895071387529104198220421681756592567*t^3 + 14729826032382414033271432640544234650145131084274304139037074943869205140788473126322095386577705369600000000/4455344226281254895071387529104198220421681756592567*t^2 - 812469451894686865347280324547569797802957242325441082570935944746058565086792536731033335180872908800000000/4455344226281254895071387529104198220421681756592567*t + 6352529109698377786603504039398587679838238882596767025300032001099158163880732690425531287679795200000000/4455344226281254895071387529104198220421681756592567
-------------------------------------------------
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 roots: 424
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 212
Linear system for weights solvable: 0
  current precision for roots: 424
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   45 out of 45
Indefinite weights: 0 out of 45
Negative weights:   0 out of 45
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (144.8872407052309007 + 2.2226236424680320837e-1356j)  +/-  (1.92e-493, 1.92e-493j)
| (159.54508084508871934 + 1.4804097298719093946e-1360j)  +/-  (4.64e-495, 4.64e-495j)
| (106.70970684204535283 + 3.0679179624021438041e-1361j)  +/-  (5.87e-490, 5.87e-490j)
| (123.41782358737850724 + 4.6031934519782045006e-1370j)  +/-  (2.26e-491, 2.26e-491j)
| (133.31599319053751413 + 7.4520654348647712725e-1377j)  +/-  (2.82e-492, 2.82e-492j)
| (16.852060312749077347 - 5.0124207856754805757e-1386j)  +/-  (8.83e-493, 8.83e-493j)
| (13.077159427135650913 - 3.8826463393112586496e-1387j)  +/-  (3.63e-494, 3.63e-494j)
| (34.482938683993302065 - 2.6547853204926198835e-1382j)  +/-  (2.83e-489, 2.83e-489j)
| (44.447081637291906397 + 3.2928679533882496226e-1405j)  +/-  (2.1e-488, 2.1e-488j)
| (11.382413268469039638 + 1.584846270978548979e-1431j)  +/-  (6.09e-495, 6.09e-495j)
| (5.831364162824063922 + 1.9019100338462757766e-1434j)  +/-  (2.26e-498, 2.26e-498j)
| (37.626161405192583046 + 4.0353641123769585641e-1449j)  +/-  (6.17e-489, 6.17e-489j)
| (14.899431094170844945 - 1.1751088653860031975e-1472j)  +/-  (1.78e-493, 1.78e-493j)
| (60.509720501038141371 + 2.2269725601999529136e-1483j)  +/-  (5.55e-488, 5.55e-488j)
| (28.693329741832188717 + 1.7202816766745734996e-1504j)  +/-  (4.62e-490, 4.62e-490j)
| (2.158192703735599399 - 6.3545296363812769879e-1527j)  +/-  (1.44e-502, 1.44e-502j)
| (86.467472457491349173 + 1.3896546440032279365e-1524j)  +/-  (1.1e-488, 1.1e-488j)
| (52.043144076420371883 + 8.5720176085139411336e-1565j)  +/-  (4.51e-488, 4.51e-488j)
| (26.03433574256982234 + 2.4775638667631877836e-1593j)  +/-  (1.65e-490, 1.65e-490j)
| (2.9053983666751905944 + 5.90022640564325731e-1616j)  +/-  (2.05e-501, 2.05e-501j)
| (7.0390685931413747391 - 4.3001132144651670997e-1612j)  +/-  (1.81e-497, 1.81e-497j)
| (1 + 2.1053255890422229668e-1620j)  +/-  (5.99e-505, 5.99e-505j)
| (18.938187767061537929 + 2.0947462892588304971e-1603j)  +/-  (3.48e-492, 3.48e-492j)
| (75.137063174810914761 + 7.2069585756174038233e-1629j)  +/-  (3.4e-488, 3.4e-488j)
| (21.161296013930912781 + 1.5996791042894908727e-1659j)  +/-  (1.42e-491, 1.42e-491j)
| (3.7658944513595942003 + 1.0941562978211457469e-1677j)  +/-  (2.33e-500, 2.33e-500j)
| (65.107953255049864984 + 4.8955011612424171784e-1678j)  +/-  (5.56e-488, 5.56e-488j)
| (23.525248522740004519 - 5.724151606991218106e-1705j)  +/-  (5.11e-491, 5.11e-491j)
| (80.622081699176724368 - 4.3019783324310972471e-1709j)  +/-  (1.98e-488, 1.98e-488j)
| (69.975593396405991585 + 5.9322756928482976174e-1727j)  +/-  (4.99e-488, 4.99e-488j)
| (0.009289521960824760416 - 1.0790473023890023229e-1759j)  +/-  (9.69e-511, 9.69e-511j)
| (9.8126408234234592659 + 1.6472438548658841426e-1745j)  +/-  (9.72e-496, 9.72e-496j)
| (0.58755766815702735352 - 1.2014897052507149177e-1755j)  +/-  (2.81e-506, 2.81e-506j)
| (31.507549397038195846 + 5.5939775567202109414e-1740j)  +/-  (1.21e-489, 1.21e-489j)
| (40.944716757841088753 - 1.4173010123171468254e-1736j)  +/-  (1.17e-488, 1.17e-488j)
| (114.64445317126569496 - 1.6210169151861594662e-1737j)  +/-  (1.36e-490, 1.36e-490j)
| (48.142887678878975403 - 8.3298017500367306119e-1752j)  +/-  (3.07e-488, 3.07e-488j)
| (1.5233264557590407413 + 2.6083232888315221449e-1796j)  +/-  (9.7e-504, 9.7e-504j)
| (99.440009229843775002 + 2.9068982339917065624e-1780j)  +/-  (1.81e-489, 1.81e-489j)
| (56.160521672218079882 - 7.2844543541684795359e-1813j)  +/-  (5.39e-488, 5.39e-488j)
| (92.719876739833636415 - 1.2141788208968292977e-1836j)  +/-  (4.97e-489, 4.97e-489j)
| (0.093295109057365373387 - 7.3001484963039671011e-1871j)  +/-  (4.49e-509, 4.49e-509j)
| (4.7407907370199039585 + 1.4633182324219794057e-1860j)  +/-  (2.53e-499, 2.53e-499j)
| (8.3655462156043185959 - 3.5566929011720048826e-1858j)  +/-  (1.46e-496, 1.46e-496j)
| (0.28547513989489655999 + 2.0928629957546476987e-1868j)  +/-  (1.35e-507, 1.35e-507j)
-------------------------------------------------
The weights are:
| (1.5178263364590151346e-62 + 1.8185922445035824255e-1416j)  +/-  (1.37e-70, 2.42e-440j)
| (8.9158319603738281146e-69 - 1.0182437854077750664e-1419j)  +/-  (1.22e-72, 2.16e-442j)
| (3.4370775998285803893e-46 - 5.2724661116134346707e-1407j)  +/-  (5.04e-66, 8.9e-436j)
| (2.3312511877069848868e-53 + 1.6430259615642396603e-1411j)  +/-  (1.75e-68, 3.09e-438j)
| (1.3402638281650092743e-57 - 7.8175526940363118224e-1414j)  +/-  (1.16e-69, 2.06e-439j)
| (9.6904161987956590522e-08 - 1.9705932754872371208e-1389j)  +/-  (1.87e-37, 3.31e-407j)
| (3.6787120478292641585e-06 - 1.1650983716106357655e-1388j)  +/-  (2.03e-33, 3.59e-403j)
| (3.2337463639501880472e-15 + 4.4797193365286329575e-1393j)  +/-  (6.09e-50, 1.08e-419j)
| (1.7900421798581207371e-19 - 3.8658978887532768534e-1395j)  +/-  (1.45e-54, 2.57e-424j)
| (1.8593561320993727369e-05 + 2.5727256788106188953e-1388j)  +/-  (3.1e-33, 5.47e-403j)
| (0.0033709002033456599951 + 3.2728241408274838638e-1387j)  +/-  (1.08e-24, 1.91e-394j)
| (1.4733620553842294113e-16 - 9.9956084748027820603e-1394j)  +/-  (1.16e-51, 2.06e-421j)
| (6.3829368061151452829e-07 + 4.9499631560526513966e-1389j)  +/-  (1.99e-37, 3.52e-407j)
| (2.3514130798649232025e-26 - 1.8882748610507472117e-1398j)  +/-  (1.11e-60, 1.96e-430j)
| (9.4560358537827596125e-13 + 7.0914977986467483532e-1392j)  +/-  (9.76e-49, 1.73e-418j)
| (0.079821138172428686247 + 1.5352287853403344108e-1386j)  +/-  (4.97e-18, 8.78e-388j)
| (1.6931676057486200446e-37 + 1.1563767466225035321e-1403j)  +/-  (5.07e-67, 8.96e-437j)
| (1.0016598663165298364e-22 - 1.0415619394592830537e-1396j)  +/-  (2.66e-58, 4.7e-428j)
| (1.2752344211609497826e-11 - 2.5183643716978209282e-1391j)  +/-  (2.79e-48, 4.93e-418j)
| (0.043982950403342101096 - 1.1482521898738304189e-1386j)  +/-  (1.2e-25, 2.12e-395j)
| (0.001110912238866301454 - 1.9017724613025737082e-1387j)  +/-  (1.58e-34, 2.8e-404j)
| (0.17208910218918369146 + 2.2256516989129653997e-1386j)  +/-  (6.89e-24, 1.22e-393j)
| (1.2837979683731155022e-08 + 7.3448502334021529187e-1390j)  +/-  (1.72e-44, 3.04e-414j)
| (1.2419889023747358898e-32 + 2.0080543332675300004e-1401j)  +/-  (2.4e-65, 4.24e-435j)
| (1.4795922169485912022e-09 - 2.5581492085369551621e-1390j)  +/-  (7.12e-47, 1.26e-416j)
| (0.021237224289291707778 + 8.0476324938832544926e-1387j)  +/-  (7.51e-33, 1.33e-402j)
| (2.504761298134500586e-28 + 2.1642651406596815717e-1399j)  +/-  (4.55e-63, 8.05e-433j)
| (1.4782573892166121138e-10 + 8.3156482129333426947e-1391j)  +/-  (7.05e-49, 1.25e-418j)
| (5.4823319297270097841e-35 - 1.6146083359099688286e-1402j)  +/-  (4.58e-67, 8.1e-437j)
| (2.0409466248692233163e-30 - 2.2124846863423633391e-1400j)  +/-  (1.77e-64, 3.14e-434j)
| (0.033363496559062524484 + 7.4780270697940726915e-1387j)  +/-  (7.28e-36, 1.29e-405j)
| (8.2574519993285675706e-05 - 5.3338654594461154126e-1388j)  +/-  (4.31e-45, 7.62e-415j)
| (0.19848145293130442153 - 2.375592999925028173e-1386j)  +/-  (8.65e-36, 1.53e-405j)
| (5.9966301128105544471e-14 - 1.8527061188215838505e-1392j)  +/-  (7.15e-54, 1.26e-423j)
| (5.6306308333015486618e-18 + 2.0527032284562175087e-1394j)  +/-  (2.06e-57, 3.65e-427j)
| (1.3507813451114896488e-49 - 2.6341707006067804292e-1409j)  +/-  (3.8e-75, 6.71e-445j)
| (4.6896840552592719484e-21 + 6.6522313379745348547e-1396j)  +/-  (2.27e-60, 4e-430j)
| (0.12620826496189936606 - 1.9176055972401400757e-1386j)  +/-  (5.07e-45, 8.97e-415j)
| (4.545139093688143996e-43 + 5.2750691650118768505e-1406j)  +/-  (1.08e-72, 1.92e-442j)
| (1.7226702477599016925e-24 + 1.4771754856517132453e-1397j)  +/-  (2.83e-63, 5.01e-433j)
| (3.4953288474508185564e-40 - 7.6019343397294309745e-1405j)  +/-  (2.62e-71, 4.63e-441j)
| (0.12519279674921906011 - 1.8260042899473378876e-1386j)  +/-  (3.87e-50, 6.77e-420j)
| (0.00901558716992165329 - 5.2944845394506523632e-1387j)  +/-  (4.82e-52, 8.54e-422j)
| (0.00032269867830513216047 + 1.0388741996074062654e-1387j)  +/-  (5.53e-53, 9.8e-423j)
| (0.1856978789834660456 + 2.2782052670553249493e-1386j)  +/-  (8.8e-51, 1.49e-420j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 44
-------------------------------------------------
Trying to find an order 44 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^45 + 1897153827280726709379020905010070859857450416165080442881/957899008650469802440348318757402617390661577667401905*t^44 - 1795216172858836002614213697671236574074849181151954523236616/957899008650469802440348318757402617390661577667401905*t^43 + 25140486653042309224543337283195718633243504485537593547956744/22276721131406274475356937645520991102108408782962835*t^42 - 10826347799342614363522778700798737449793649282182652967919198472/22276721131406274475356937645520991102108408782962835*t^41 + 3552202119053978354703178130793884394658308179594972978315900768808/22276721131406274475356937645520991102108408782962835*t^40 - 184777925758345053887466563326892440463786211761074028203592907270912/4455344226281254895071387529104198220421681756592567*t^39 + 39134259179889561398878782238629557399450813806920426542049107650344192/4455344226281254895071387529104198220421681756592567*t^38 - 6880464117274570198310666955424311071037729717156681947389942353401422464/4455344226281254895071387529104198220421681756592567*t^37 + 1018717689508972564253929342029591805120967816135869625721543160247624257152/4455344226281254895071387529104198220421681756592567*t^36 - 128412907698421721593201321361617497157345469390277441748957619558169925567488/4455344226281254895071387529104198220421681756592567*t^35 + 13898182134062612145671764999576806641317413592404460955035815981509408234081280/4455344226281254895071387529104198220421681756592567*t^34 - 1300098859407161758640848002189778854374754115745896710210393840798657868280570880/4455344226281254895071387529104198220421681756592567*t^33 + 105661440203899373688752238304518022346732965873552942263715033699020719038639887360/4455344226281254895071387529104198220421681756592567*t^32 - 7490896386289847198931972059613113156084465262643171763692150061263052104845196001280/4455344226281254895071387529104198220421681756592567*t^31 + 464702002235605595996253435929392503149073152180049824960132871078443243700640056606720/4455344226281254895071387529104198220421681756592567*t^30 - 25283657399413592706427417232225900068031337930005275064609362213048140893486131278643200/4455344226281254895071387529104198220421681756592567*t^29 + 1208458979562090923918420687127596459548992270173611213332509506464256899148839360754483200/4455344226281254895071387529104198220421681756592567*t^28 - 50791028610614835942950140027805416246019227051066609216965941455265419916459942021195366400/4455344226281254895071387529104198220421681756592567*t^27 + 1878017378695837883608611079098150215952443709363295420663289515395994588232876214959289139200/4455344226281254895071387529104198220421681756592567*t^26 - 61085495685561184058180001562133322104429249574869745993265519101504444700039470900160679116800/4455344226281254895071387529104198220421681756592567*t^25 + 1746845356285804989594909186034201396121008981347026987146186088768579533268087075437422182400000/4455344226281254895071387529104198220421681756592567*t^24 - 43872087472866164604621736939764944193430561536351013669837547582138259690059205638364227174400000/4455344226281254895071387529104198220421681756592567*t^23 + 966197511021191548987447313020955610360936422268264195825587493141717143163831751392255855820800000/4455344226281254895071387529104198220421681756592567*t^22 - 18620629705023636460049992641284236336171560238875844057772379736534128654702085757559712147046400000/4455344226281254895071387529104198220421681756592567*t^21 + 313220713422555212673769233250433109110333122369827473335215062294689602428788078286425546398105600000/4455344226281254895071387529104198220421681756592567*t^20 - 4584207982284515049111639943209419834624614186552077807558851477491033467517405597069196469574041600000/4455344226281254895071387529104198220421681756592567*t^19 + 58156241061578267509731378536416934729403354187681648794714679401863962480797349520830637075437977600000/4455344226281254895071387529104198220421681756592567*t^18 - 636659115308792791198368180629105963609269459195503834165363130425596096652545765821231918524609331200000/4455344226281254895071387529104198220421681756592567*t^17 + 5982972086349211670213279894908269476268478392736792100480705889575016302183325190047191916510550425600000/4455344226281254895071387529104198220421681756592567*t^16 - 47968484541502723006099664832108286864328937363489348782812982996554644183995478716439865880717190758400000/4455344226281254895071387529104198220421681756592567*t^15 + 325758439931798030514043605684672635306856235468244068365899581950501889761483259919591327955563839488000000/4455344226281254895071387529104198220421681756592567*t^14 - 1858070961462640707900869634258232271705656084355062134536652388825039471640467704786165052395548049408000000/4455344226281254895071387529104198220421681756592567*t^13 + 8812947873938488573777107546816234733772793811301359400185960686556062811367355296771418616960370343936000000/4455344226281254895071387529104198220421681756592567*t^12 - 34349591511369492992604337527302276600309969620092092364780211970216274846161250157610917843576918376448000000/4455344226281254895071387529104198220421681756592567*t^11 + 108463558991633582717358123763795846946296866105884747721488575704526614293235266895695322718515455066112000000/4455344226281254895071387529104198220421681756592567*t^10 - 272710202899892233183328874814455064889148754236570568600459892930213789217536302668869169144704343736320000000/4455344226281254895071387529104198220421681756592567*t^9 + 534452759369323936872802699272639322949332521959469293944312787058814746953052594076361021345300710686720000000/4455344226281254895071387529104198220421681756592567*t^8 - 794764279189243832295317707480145645165499062615693277735050693143896414129408885142409690074819948707840000000/4455344226281254895071387529104198220421681756592567*t^7 + 866166209391730206096257677285469275187052442858263198701730014204741700251785258601123834615227031224320000000/4455344226281254895071387529104198220421681756592567*t^6 - 660404184283430960608558411424756927341860841725589820531941318705821422937651110744067329684343021895680000000/4455344226281254895071387529104198220421681756592567*t^5 + 330035841533112643738100556885726528667911271267526074531905868675228851005302127284831224521330314444800000000/4455344226281254895071387529104198220421681756592567*t^4 - 98051887559855635505786623730644851727964721958628502655681749256429548980195090998880159522792197324800000000/4455344226281254895071387529104198220421681756592567*t^3 + 14729826032382414033271432640544234650145131084274304139037074943869205140788473126322095386577705369600000000/4455344226281254895071387529104198220421681756592567*t^2 - 812469451894686865347280324547569797802957242325441082570935944746058565086792536731033335180872908800000000/4455344226281254895071387529104198220421681756592567*t + 6352529109698377786603504039398587679838238882596767025300032001099158163880732690425531287679795200000000/4455344226281254895071387529104198220421681756592567
-------------------------------------------------
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 roots: 424
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 212
Linear system for weights solvable: 0
  current precision for roots: 424
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   45 out of 45
Indefinite weights: 0 out of 45
Negative weights:   0 out of 45
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (144.8872407052309007 + 2.2226236424680320837e-1356j)  +/-  (1.92e-493, 1.92e-493j)
| (159.54508084508871934 + 1.4804097298719093946e-1360j)  +/-  (4.64e-495, 4.64e-495j)
| (106.70970684204535283 + 3.0679179624021438041e-1361j)  +/-  (5.87e-490, 5.87e-490j)
| (123.41782358737850724 + 4.6031934519782045006e-1370j)  +/-  (2.26e-491, 2.26e-491j)
| (133.31599319053751413 + 7.4520654348647712725e-1377j)  +/-  (2.82e-492, 2.82e-492j)
| (16.852060312749077347 - 5.0124207856754805757e-1386j)  +/-  (8.83e-493, 8.83e-493j)
| (13.077159427135650913 - 3.8826463393112586496e-1387j)  +/-  (3.63e-494, 3.63e-494j)
| (34.482938683993302065 - 2.6547853204926198835e-1382j)  +/-  (2.83e-489, 2.83e-489j)
| (44.447081637291906397 + 3.2928679533882496226e-1405j)  +/-  (2.1e-488, 2.1e-488j)
| (11.382413268469039638 + 1.584846270978548979e-1431j)  +/-  (6.09e-495, 6.09e-495j)
| (5.831364162824063922 + 1.9019100338462757766e-1434j)  +/-  (2.26e-498, 2.26e-498j)
| (37.626161405192583046 + 4.0353641123769585641e-1449j)  +/-  (6.17e-489, 6.17e-489j)
| (14.899431094170844945 - 1.1751088653860031975e-1472j)  +/-  (1.78e-493, 1.78e-493j)
| (60.509720501038141371 + 2.2269725601999529136e-1483j)  +/-  (5.55e-488, 5.55e-488j)
| (28.693329741832188717 + 1.7202816766745734996e-1504j)  +/-  (4.62e-490, 4.62e-490j)
| (2.158192703735599399 - 6.3545296363812769879e-1527j)  +/-  (1.44e-502, 1.44e-502j)
| (86.467472457491349173 + 1.3896546440032279365e-1524j)  +/-  (1.1e-488, 1.1e-488j)
| (52.043144076420371883 + 8.5720176085139411336e-1565j)  +/-  (4.51e-488, 4.51e-488j)
| (26.03433574256982234 + 2.4775638667631877836e-1593j)  +/-  (1.65e-490, 1.65e-490j)
| (2.9053983666751905944 + 5.90022640564325731e-1616j)  +/-  (2.05e-501, 2.05e-501j)
| (7.0390685931413747391 - 4.3001132144651670997e-1612j)  +/-  (1.81e-497, 1.81e-497j)
| (1 + 2.1053255890422229668e-1620j)  +/-  (5.99e-505, 5.99e-505j)
| (18.938187767061537929 + 2.0947462892588304971e-1603j)  +/-  (3.48e-492, 3.48e-492j)
| (75.137063174810914761 + 7.2069585756174038233e-1629j)  +/-  (3.4e-488, 3.4e-488j)
| (21.161296013930912781 + 1.5996791042894908727e-1659j)  +/-  (1.42e-491, 1.42e-491j)
| (3.7658944513595942003 + 1.0941562978211457469e-1677j)  +/-  (2.33e-500, 2.33e-500j)
| (65.107953255049864984 + 4.8955011612424171784e-1678j)  +/-  (5.56e-488, 5.56e-488j)
| (23.525248522740004519 - 5.724151606991218106e-1705j)  +/-  (5.11e-491, 5.11e-491j)
| (80.622081699176724368 - 4.3019783324310972471e-1709j)  +/-  (1.98e-488, 1.98e-488j)
| (69.975593396405991585 + 5.9322756928482976174e-1727j)  +/-  (4.99e-488, 4.99e-488j)
| (0.009289521960824760416 - 1.0790473023890023229e-1759j)  +/-  (9.69e-511, 9.69e-511j)
| (9.8126408234234592659 + 1.6472438548658841426e-1745j)  +/-  (9.72e-496, 9.72e-496j)
| (0.58755766815702735352 - 1.2014897052507149177e-1755j)  +/-  (2.81e-506, 2.81e-506j)
| (31.507549397038195846 + 5.5939775567202109414e-1740j)  +/-  (1.21e-489, 1.21e-489j)
| (40.944716757841088753 - 1.4173010123171468254e-1736j)  +/-  (1.17e-488, 1.17e-488j)
| (114.64445317126569496 - 1.6210169151861594662e-1737j)  +/-  (1.36e-490, 1.36e-490j)
| (48.142887678878975403 - 8.3298017500367306119e-1752j)  +/-  (3.07e-488, 3.07e-488j)
| (1.5233264557590407413 + 2.6083232888315221449e-1796j)  +/-  (9.7e-504, 9.7e-504j)
| (99.440009229843775002 + 2.9068982339917065624e-1780j)  +/-  (1.81e-489, 1.81e-489j)
| (56.160521672218079882 - 7.2844543541684795359e-1813j)  +/-  (5.39e-488, 5.39e-488j)
| (92.719876739833636415 - 1.2141788208968292977e-1836j)  +/-  (4.97e-489, 4.97e-489j)
| (0.093295109057365373387 - 7.3001484963039671011e-1871j)  +/-  (4.49e-509, 4.49e-509j)
| (4.7407907370199039585 + 1.4633182324219794057e-1860j)  +/-  (2.53e-499, 2.53e-499j)
| (8.3655462156043185959 - 3.5566929011720048826e-1858j)  +/-  (1.46e-496, 1.46e-496j)
| (0.28547513989489655999 + 2.0928629957546476987e-1868j)  +/-  (1.35e-507, 1.35e-507j)
-------------------------------------------------
The weights are:
| (1.5178263364590151346e-62 + 1.8185922445035824255e-1416j)  +/-  (1.37e-70, 2.42e-440j)
| (8.9158319603738281146e-69 - 1.0182437854077750664e-1419j)  +/-  (1.22e-72, 2.16e-442j)
| (3.4370775998285803893e-46 - 5.2724661116134346707e-1407j)  +/-  (5.04e-66, 8.9e-436j)
| (2.3312511877069848868e-53 + 1.6430259615642396603e-1411j)  +/-  (1.75e-68, 3.09e-438j)
| (1.3402638281650092743e-57 - 7.8175526940363118224e-1414j)  +/-  (1.16e-69, 2.06e-439j)
| (9.6904161987956590522e-08 - 1.9705932754872371208e-1389j)  +/-  (1.87e-37, 3.31e-407j)
| (3.6787120478292641585e-06 - 1.1650983716106357655e-1388j)  +/-  (2.03e-33, 3.59e-403j)
| (3.2337463639501880472e-15 + 4.4797193365286329575e-1393j)  +/-  (6.09e-50, 1.08e-419j)
| (1.7900421798581207371e-19 - 3.8658978887532768534e-1395j)  +/-  (1.45e-54, 2.57e-424j)
| (1.8593561320993727369e-05 + 2.5727256788106188953e-1388j)  +/-  (3.1e-33, 5.47e-403j)
| (0.0033709002033456599951 + 3.2728241408274838638e-1387j)  +/-  (1.08e-24, 1.91e-394j)
| (1.4733620553842294113e-16 - 9.9956084748027820603e-1394j)  +/-  (1.16e-51, 2.06e-421j)
| (6.3829368061151452829e-07 + 4.9499631560526513966e-1389j)  +/-  (1.99e-37, 3.52e-407j)
| (2.3514130798649232025e-26 - 1.8882748610507472117e-1398j)  +/-  (1.11e-60, 1.96e-430j)
| (9.4560358537827596125e-13 + 7.0914977986467483532e-1392j)  +/-  (9.76e-49, 1.73e-418j)
| (0.079821138172428686247 + 1.5352287853403344108e-1386j)  +/-  (4.97e-18, 8.78e-388j)
| (1.6931676057486200446e-37 + 1.1563767466225035321e-1403j)  +/-  (5.07e-67, 8.96e-437j)
| (1.0016598663165298364e-22 - 1.0415619394592830537e-1396j)  +/-  (2.66e-58, 4.7e-428j)
| (1.2752344211609497826e-11 - 2.5183643716978209282e-1391j)  +/-  (2.79e-48, 4.93e-418j)
| (0.043982950403342101096 - 1.1482521898738304189e-1386j)  +/-  (1.2e-25, 2.12e-395j)
| (0.001110912238866301454 - 1.9017724613025737082e-1387j)  +/-  (1.58e-34, 2.8e-404j)
| (0.17208910218918369146 + 2.2256516989129653997e-1386j)  +/-  (6.89e-24, 1.22e-393j)
| (1.2837979683731155022e-08 + 7.3448502334021529187e-1390j)  +/-  (1.72e-44, 3.04e-414j)
| (1.2419889023747358898e-32 + 2.0080543332675300004e-1401j)  +/-  (2.4e-65, 4.24e-435j)
| (1.4795922169485912022e-09 - 2.5581492085369551621e-1390j)  +/-  (7.12e-47, 1.26e-416j)
| (0.021237224289291707778 + 8.0476324938832544926e-1387j)  +/-  (7.51e-33, 1.33e-402j)
| (2.504761298134500586e-28 + 2.1642651406596815717e-1399j)  +/-  (4.55e-63, 8.05e-433j)
| (1.4782573892166121138e-10 + 8.3156482129333426947e-1391j)  +/-  (7.05e-49, 1.25e-418j)
| (5.4823319297270097841e-35 - 1.6146083359099688286e-1402j)  +/-  (4.58e-67, 8.1e-437j)
| (2.0409466248692233163e-30 - 2.2124846863423633391e-1400j)  +/-  (1.77e-64, 3.14e-434j)
| (0.033363496559062524484 + 7.4780270697940726915e-1387j)  +/-  (7.28e-36, 1.29e-405j)
| (8.2574519993285675706e-05 - 5.3338654594461154126e-1388j)  +/-  (4.31e-45, 7.62e-415j)
| (0.19848145293130442153 - 2.375592999925028173e-1386j)  +/-  (8.65e-36, 1.53e-405j)
| (5.9966301128105544471e-14 - 1.8527061188215838505e-1392j)  +/-  (7.15e-54, 1.26e-423j)
| (5.6306308333015486618e-18 + 2.0527032284562175087e-1394j)  +/-  (2.06e-57, 3.65e-427j)
| (1.3507813451114896488e-49 - 2.6341707006067804292e-1409j)  +/-  (3.8e-75, 6.71e-445j)
| (4.6896840552592719484e-21 + 6.6522313379745348547e-1396j)  +/-  (2.27e-60, 4e-430j)
| (0.12620826496189936606 - 1.9176055972401400757e-1386j)  +/-  (5.07e-45, 8.97e-415j)
| (4.545139093688143996e-43 + 5.2750691650118768505e-1406j)  +/-  (1.08e-72, 1.92e-442j)
| (1.7226702477599016925e-24 + 1.4771754856517132453e-1397j)  +/-  (2.83e-63, 5.01e-433j)
| (3.4953288474508185564e-40 - 7.6019343397294309745e-1405j)  +/-  (2.62e-71, 4.63e-441j)
| (0.12519279674921906011 - 1.8260042899473378876e-1386j)  +/-  (3.87e-50, 6.77e-420j)
| (0.00901558716992165329 - 5.2944845394506523632e-1387j)  +/-  (4.82e-52, 8.54e-422j)
| (0.00032269867830513216047 + 1.0388741996074062654e-1387j)  +/-  (5.53e-53, 9.8e-423j)
| (0.1856978789834660456 + 2.2782052670553249493e-1386j)  +/-  (8.8e-51, 1.49e-420j)
