Starting with polynomial:
P : -t+1
Extension levels are: 1 50
-------------------------------------------------
Trying to find an order 50 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^51 + 18131144153175521763929004298347530161083620289892271391693597284251/7086160198304780325462239212620335436367989676318342355555206751*t^50 - 22288982038200387376663405505836959815217624289600667895735127261438750/7086160198304780325462239212620335436367989676318342355555206751*t^49 + 357929220120545751624120742099411946508318479208321277013603212653541250/144615514251117965825759983931027253803428360741190660317453199*t^48 - 202639718563479461431337775899608444436015478731423027556594823701263760000/144615514251117965825759983931027253803428360741190660317453199*t^47 + 87967772759918354993829009521810387474455217037285255202671884196643972368000/144615514251117965825759983931027253803428360741190660317453199*t^46 - 30473686098094663331691994350313947506836455238049143402342968482809884423648000/144615514251117965825759983931027253803428360741190660317453199*t^45 + 8656606254398241896358512852681514169686492923845966539500128036620962721309600000/144615514251117965825759983931027253803428360741190660317453199*t^44 - 2056421731075707682738139959073374290167519019512021701644037440438691119712603200000/144615514251117965825759983931027253803428360741190660317453199*t^43 + 414575537793048720922761569402019239744434064826354195205333573747993002593939515200000/144615514251117965825759983931027253803428360741190660317453199*t^42 - 71736703630511512036046994312229674156449381796014288792181110361817589660309235953280000/144615514251117965825759983931027253803428360741190660317453199*t^41 + 10749579700442494102537907556495131143940852677249541052889786995150578924325719739626880000/144615514251117965825759983931027253803428360741190660317453199*t^40 - 1404864904325394163918048106715573368602513310307756166108107483334513552923466771325184000000/144615514251117965825759983931027253803428360741190660317453199*t^39 + 161044944285239326357231899090120122407510812846922102444216473975927140164609996551913728000000/144615514251117965825759983931027253803428360741190660317453199*t^38 - 16267763088557462951004238074206016002445272053716874507661759553434156075434271854291404288000000/144615514251117965825759983931027253803428360741190660317453199*t^37 + 1453411672521568099424617025670230014791229157800081582477502141207438888709997817023805632204800000/144615514251117965825759983931027253803428360741190660317453199*t^36 - 115191625540024131495194027771201868496502205379305849876015023200887757767764248247821877077708800000/144615514251117965825759983931027253803428360741190660317453199*t^35 + 8117924080418031029283396686312706152868864117446249245582744522403934282280757341939793234403840000000/144615514251117965825759983931027253803428360741190660317453199*t^34 - 509621003691248754786308368078547832204121118413308386728625216842441435476574949751179977631585280000000/144615514251117965825759983931027253803428360741190660317453199*t^33 + 28537009037013870199924075169881007137959640908327888766177880835523741612306770188288670108097735680000000/144615514251117965825759983931027253803428360741190660317453199*t^32 - 1426672021252735120531739064907290090367133525057662490859214445429176476385460943160412883447693705216000000/144615514251117965825759983931027253803428360741190660317453199*t^31 + 2055224979720055366268968091172231003494892214470335684933036340688840897564060611099705789437346840576000000/4665016588745740833089031739710556574304140669070666461853329*t^30 - 81998603550793902558726134059300732491047403372012782241334828247974377135859590444574370979526095667200000000/4665016588745740833089031739710556574304140669070666461853329*t^29 + 100768470672173072342518734940854753888062845662080135895634372238016912646116315133546593410198706585600000000/160862640991232442520311439300364019803591057554160912477701*t^28 - 3206148326069564334031518610388993460693196925527491673734002437220826991138831776500691025642936310169600000000/160862640991232442520311439300364019803591057554160912477701*t^27 + 90994555952891810170128519202625494264014100432892260163421544519673239813032112061909157596677165663911936000000/160862640991232442520311439300364019803591057554160912477701*t^26 - 2300943494657473233357346848884006419569579041452474441139749027219666278675853127547512287025764021605236736000000/160862640991232442520311439300364019803591057554160912477701*t^25 + 51759919781012949127114634224531249728583135917818289769225414280736766717890540312161723993933373517332480000000000/160862640991232442520311439300364019803591057554160912477701*t^24 - 1033863606867640748202551213388330265228573286593821807105393698398090650357090264487266983833371166805852160000000000/160862640991232442520311439300364019803591057554160912477701*t^23 + 18295222774499039253601034037763948103242683738118809172226751586634755739126013300361910321714670937476956160000000000/160862640991232442520311439300364019803591057554160912477701*t^22 - 286065737100889383126781408088523015363408767689810863078980217904548649832089060240801904687831290221321781248000000000/160862640991232442520311439300364019803591057554160912477701*t^21 + 3940100939579957143106469837490140696308886672336950894745214838813643516747380377515237431539730877072411721728000000000/160862640991232442520311439300364019803591057554160912477701*t^20 - 47633575884058518110359084256995997337051494811969501958214937060701590105800930580544790640374885238260734361600000000000/160862640991232442520311439300364019803591057554160912477701*t^19 + 503385948437445256588221627026571217735070549858226954584648563566060051123203573503509997955382774522272494387200000000000/160862640991232442520311439300364019803591057554160912477701*t^18 - 4628334716295284184155518129501710416680799999091911203028050788706530613265316552028713818018803184827403285299200000000000/160862640991232442520311439300364019803591057554160912477701*t^17 + 36824358972055714908512203372023185348546231576159075497831177480327008962115723589826572927021259422740018553159680000000000/160862640991232442520311439300364019803591057554160912477701*t^16 - 251960156451466750857124469153651538077965208501551328949450310234758761674041735670158590269776058753357561756385280000000000/160862640991232442520311439300364019803591057554160912477701*t^15 + 1471975568861375514380715830375840421011091170374150735965479882084276443619827656968887809139600307098023597441024000000000000/160862640991232442520311439300364019803591057554160912477701*t^14 - 7281714616824826989885286852130267878454196756890660503394424984635479479684736695322016324938576574058795009835008000000000000/160862640991232442520311439300364019803591057554160912477701*t^13 + 30208248175124072415478942755325116413828825383286285106260080221658924101624552500187947292558000637581801258221568000000000000/160862640991232442520311439300364019803591057554160912477701*t^12 - 103904638838426020349237912945108659275682073352166948912119547835630773648614885554329765837375810035271766905769164800000000000/160862640991232442520311439300364019803591057554160912477701*t^11 + 292346577897928072691047499231626215484176229616216971815757064187024875226759688660144719317236120751344755197922508800000000000/160862640991232442520311439300364019803591057554160912477701*t^10 - 662018472019776625923815764845249819822585363119488436151313238979367953374674408714167556195754290786433573207408640000000000000/160862640991232442520311439300364019803591057554160912477701*t^9 + 1182927133249912942407617785288431577326159108955504899150555403156543779304834550799570224743244527367110473421946880000000000000/160862640991232442520311439300364019803591057554160912477701*t^8 - 1627339948444502540286716366421644997697091550359234097207319824579584297568444626229698681642720737416334250638049280000000000000/160862640991232442520311439300364019803591057554160912477701*t^7 + 1670419377687357558750521008760410001805567575487148516879707747115275858189480846967176005277069182785845880858607616000000000000/160862640991232442520311439300364019803591057554160912477701*t^6 - 1227792809010114014147787631891761656962497318717232969669826536277829507064338948552880088251181048996969582539309056000000000000/160862640991232442520311439300364019803591057554160912477701*t^5 + 610798344497983547485866163490602594536879285435338651733979676704560404198634051526903699458073149022094702621491200000000000000/160862640991232442520311439300364019803591057554160912477701*t^4 - 189505135869202858936005167168954627392937729524758929228712242576474754028816504466006705977158509100373492786790400000000000000/160862640991232442520311439300364019803591057554160912477701*t^3 + 32218314533708179967152949358558683866576352553870301447242476250262537957608059710355298147237422790621199230566400000000000000/160862640991232442520311439300364019803591057554160912477701*t^2 - 2370365063641756581807253114478627546755988546214627230647106105040744381365291937013483860628311594412271166554112000000000000/160862640991232442520311439300364019803591057554160912477701*t + 42416960089938407181220985887697262435017037021953536186564982550205602472979197984285173911326065991663654797312000000000000/160862640991232442520311439300364019803591057554160912477701
-------------------------------------------------
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
  current precision for roots: 848
  current precision for roots: 1696
  current precision for roots: 3392
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   51 out of 51
Indefinite weights: 0 out of 51
Negative weights:   0 out of 51
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (167.43620273211060085 + 4.4225455462078008528e-2756j)  +/-  (3.68e-1002, 3.68e-1002j)
| (119.35980719353037127 - 5.8171339606872592592e-2770j)  +/-  (1.05e-997, 1.05e-997j)
| (127.10387962738249073 + 3.7904614839198325169e-2790j)  +/-  (2.33e-998, 2.33e-998j)
| (144.8169312222279863 + 1.0157647053425616343e-2806j)  +/-  (6.51e-1000, 6.51e-1000j)
| (155.26274767672022452 - 3.7320627468803703637e-2825j)  +/-  (6.59e-1001, 6.59e-1001j)
| (182.8059331266249576 + 1.4789211597114432777e-2845j)  +/-  (7.16e-1004, 7.16e-1004j)
| (135.52959830686540042 - 2.6117798814761802447e-2897j)  +/-  (4.8e-999, 4.8e-999j)
| (77.331675216694716392 - 5.5470926181978928102e-2964j)  +/-  (1.26e-995, 1.26e-995j)
| (112.17768943590305455 + 2.8926451325524378012e-3023j)  +/-  (3.16e-997, 3.16e-997j)
| (105.47272773476789263 - 7.4440513995134318543e-3086j)  +/-  (8.37e-997, 8.37e-997j)
| (7.5181529501340643102 + 3.8085698332114451923e-3123j)  +/-  (1.78e-1006, 1.78e-1006j)
| (68.008295980885875315 - 1.3686778497793102304e-3130j)  +/-  (1.47e-995, 1.47e-995j)
| (6.3533691684780428671 - 2.4994476738159356943e-3165j)  +/-  (2.12e-1007, 2.12e-1007j)
| (25.15776118016079298 - 9.1575059861228423433e-3155j)  +/-  (2.73e-999, 2.73e-999j)
| (44.891275378125424363 + 5.2892294080596474067e-3157j)  +/-  (1.86e-996, 1.86e-996j)
| (72.553692100050632214 - 4.1322322728727390772e-3170j)  +/-  (1.47e-995, 1.47e-995j)
| (11.640940648124186929 - 4.1001786992928550607e-3190j)  +/-  (6.74e-1004, 6.74e-1004j)
| (35.590834607477264381 - 1.2029349492397688999e-3182j)  +/-  (1.86e-997, 1.86e-997j)
| (30.108333014866985765 - 7.5933108239012845822e-3184j)  +/-  (2.55e-998, 2.55e-998j)
| (48.300720174751317931 + 1.5607474918605841165e-3180j)  +/-  (3.54e-996, 3.54e-996j)
| (32.781047933929061406 + 1.6620019414647096678e-3187j)  +/-  (7.64e-998, 7.64e-998j)
| (14.929169122172873258 + 6.2054737289179196202e-3193j)  +/-  (2.09e-1002, 2.09e-1002j)
| (38.542307711115486566 + 2.463973803795809045e-3186j)  +/-  (4.17e-997, 4.17e-997j)
| (8.7866964667916746747 + 1.2046849589846069506e-3215j)  +/-  (1.48e-1005, 1.48e-1005j)
| (41.640569018948390331 + 1.32456934048851618e-3205j)  +/-  (8.92e-997, 8.92e-997j)
| (0.025524400072201468283 - 1.711594137520882953e-3277j)  +/-  (1.3e-1020, 1.3e-1020j)
| (51.875931751912454933 + 1.4147195002099082426e-3259j)  +/-  (5.54e-996, 5.54e-996j)
| (2.0415330827229562682 - 7.8841142627240018257e-3320j)  +/-  (1.42e-1012, 1.42e-1012j)
| (3.4686285147578125276 - 1.2690168026944132459e-3316j)  +/-  (2.03e-1010, 2.03e-1010j)
| (99.182016371959880289 - 1.9196663038740580707e-3319j)  +/-  (1.98e-996, 1.98e-996j)
| (22.872638429570535875 + 1.7865362571609608737e-3359j)  +/-  (7.69e-1000, 7.69e-1000j)
| (10.160438784629885805 - 3.1601517363677966225e-3382j)  +/-  (9.32e-1005, 9.32e-1005j)
| (1 + 7.0815268507026611796e-3414j)  +/-  (5.93e-1015, 5.93e-1015j)
| (93.257228714929742951 + 6.9537044697489001246e-3395j)  +/-  (3.63e-996, 3.63e-996j)
| (27.568505135446651403 - 1.7602796324834161202e-3434j)  +/-  (8.71e-999, 8.71e-999j)
| (5.291010515968400874 - 4.4700832012576928463e-3476j)  +/-  (2.43e-1008, 2.43e-1008j)
| (63.680195379148182087 + 1.1561729355504889869e-3479j)  +/-  (1.34e-995, 1.34e-995j)
| (1.4732316698227815653 + 7.2805857592365037606e-3524j)  +/-  (9.63e-1014, 9.63e-1014j)
| (2.7062544700272817482 - 1.9355294876625444712e-3521j)  +/-  (1.87e-1011, 1.87e-1011j)
| (20.709979228872543161 - 3.3268747530533259313e-3506j)  +/-  (2.01e-1000, 2.01e-1000j)
| (13.229900332025887049 - 1.4374598003182018918e-3521j)  +/-  (4.07e-1003, 4.07e-1003j)
| (18.666900491812255004 + 2.4364439131882198999e-3513j)  +/-  (4.83e-1001, 4.83e-1001j)
| (4.3298269313211931195 + 4.6869046051063319697e-3538j)  +/-  (2.16e-1009, 2.16e-1009j)
| (0.33250892065843283804 - 2.5234803584536191303e-3555j)  +/-  (1.64e-1017, 1.64e-1017j)
| (0.13479135745704571054 + 2.8491309954489481183e-3556j)  +/-  (5.02e-1019, 5.02e-1019j)
| (82.360129480084033508 + 4.1192342002635304311e-3550j)  +/-  (9.31e-996, 9.31e-996j)
| (55.62479334814619227 + 4.3636050431154598175e-3623j)  +/-  (8.44e-996, 8.44e-996j)
| (87.660203148530132588 + 3.3088009462955508593e-3688j)  +/-  (6.54e-996, 6.54e-996j)
| (0.62032182870026944937 + 1.0193034570604425878e-3737j)  +/-  (3.22e-1016, 3.22e-1016j)
| (16.740767190810868011 - 3.1808982833342588199e-3717j)  +/-  (1.11e-1001, 1.11e-1001j)
| (59.556190667839138901 + 3.2065380253245253662e-3735j)  +/-  (1.13e-995, 1.13e-995j)
-------------------------------------------------
The weights are:
| (2.5686009124795406799e-72 - 5.6794573271814130361e-2828j)  +/-  (4.67e-189, 6.41e-939j)
| (1.0830631850443245544e-51 + 4.8732183522095891051e-2819j)  +/-  (3.94e-182, 5.41e-932j)
| (5.0801882735601558149e-55 - 1.2487421671692342876e-2820j)  +/-  (1.58e-183, 2.17e-933j)
| (1.253555523983612016e-62 - 3.5047231692767086973e-2824j)  +/-  (8.33e-187, 1.14e-936j)
| (4.1549868043317115066e-67 + 3.7512252988709150844e-2826j)  +/-  (1.66e-188, 2.28e-938j)
| (7.3785223839133894603e-79 - 3.963320813333911436e-2832j)  +/-  (3.11e-193, 4.26e-943j)
| (1.218114955314782269e-58 + 2.4474643222328574455e-2822j)  +/-  (1.08e-185, 1.48e-935j)
| (1.2748982736467135083e-33 - 2.7933459223734067424e-2810j)  +/-  (5.33e-179, 7.31e-929j)
| (1.3264116320901677813e-48 - 1.4765374052230551615e-2817j)  +/-  (1.15e-183, 1.57e-933j)
| (1.013765242865794053e-45 + 3.6353241111628388575e-2816j)  +/-  (2.8e-183, 3.85e-933j)
| (0.00066068720322324009245 + 1.0304754976236373249e-2795j)  +/-  (3.54e-143, 4.85e-893j)
| (1.2918320994964253785e-29 - 2.5441148737928024042e-2808j)  +/-  (2.48e-178, 3.4e-928j)
| (0.0019382111960123525612 - 1.7223124582056297839e-2795j)  +/-  (3e-141, 4.11e-891j)
| (2.7842424482699534326e-11 + 2.5550138957512809541e-2799j)  +/-  (1.68e-164, 2.3e-914j)
| (1.0623718958615655989e-19 - 1.8596186817189489883e-2803j)  +/-  (1.66e-173, 2.28e-923j)
| (1.4408520117010948319e-31 + 2.8178808003838108744e-2809j)  +/-  (3.23e-179, 4.43e-929j)
| (1.3500577568356301127e-05 - 1.5659413991197221275e-2796j)  +/-  (2.11e-154, 2.9e-904j)
| (1.005686468934153646e-15 + 1.6733642669441682474e-2801j)  +/-  (1.29e-170, 1.77e-920j)
| (2.1878929196470078942e-13 + 2.3594095326958835252e-2800j)  +/-  (1.3e-168, 1.78e-918j)
| (3.6831957144006868428e-21 + 3.5664807278401490342e-2804j)  +/-  (2.01e-175, 2.76e-925j)
| (1.5892954122559552224e-14 - 6.5000772535831002651e-2801j)  +/-  (6.09e-170, 8.36e-920j)
| (5.7629068901910765194e-07 - 3.3543647204143150663e-2797j)  +/-  (2.44e-162, 3.35e-912j)
| (5.5190759186208658721e-17 - 4.017158918101309293e-2802j)  +/-  (1.94e-172, 2.66e-922j)
| (0.0002017687974088106876 - 5.8210315571026582304e-2796j)  +/-  (3.47e-157, 4.76e-907j)
| (2.6137732923284230649e-18 + 8.9722652578167096082e-2803j)  +/-  (1.11e-173, 1.53e-923j)
| (0.063888021518415598129 + 1.2811415971523622188e-2795j)  +/-  (2.28e-147, 3.13e-897j)
| (1.0817494077426351792e-22 - 6.3089767256839255378e-2805j)  +/-  (7.65e-178, 1.05e-927j)
| (0.080013681857378348389 + 8.9154194530645079433e-2795j)  +/-  (2.28e-147, 3.13e-897j)
| (0.025289035143628226289 + 5.6223766522964602264e-2795j)  +/-  (2.95e-152, 4.05e-902j)
| (5.1424982163287886073e-43 - 7.4269984671821698363e-2815j)  +/-  (7.98e-189, 1.09e-938j)
| (2.591520826882303318e-10 - 7.6466343671149392157e-2799j)  +/-  (3.16e-170, 4.34e-920j)
| (5.5176752091596850522e-05 + 3.1061419230825469175e-2796j)  +/-  (8.49e-163, 1.17e-912j)
| (0.15678539875687382825 + 1.0178779122668697587e-2794j)  +/-  (1.85e-151, 2.54e-901j)
| (1.8153615804160171054e-40 + 1.2830697678145792732e-2813j)  +/-  (2.88e-188, 3.96e-938j)
| (2.6343270531204506473e-12 - 8.0177656076129230491e-2800j)  +/-  (1.45e-171, 1.98e-921j)
| (0.0050949357324167806654 + 2.7152167775414137556e-2795j)  +/-  (8.57e-161, 1.18e-910j)
| (9.3275396659864633591e-28 + 2.0698006039971649594e-2807j)  +/-  (1.94e-182, 2.67e-932j)
| (0.11929671030749088545 - 9.9895370496775531774e-2795j)  +/-  (1.21e-155, 1.66e-905j)
| (0.047642087485665915273 - 7.3392377876931249992e-2795j)  +/-  (2.96e-158, 4.06e-908j)
| (2.1305302454752131577e-09 + 2.1520837591231427395e-2798j)  +/-  (1.29e-170, 1.77e-920j)
| (2.9523931824291882534e-06 + 7.457938281168929311e-2797j)  +/-  (6.75e-168, 9.27e-918j)
| (1.5511384766795719138e-08 - 5.7024970335495076798e-2798j)  +/-  (2.17e-170, 2.97e-920j)
| (0.011997663003804172736 - 4.0311527597984673105e-2795j)  +/-  (1.66e-163, 2.28e-913j)
| (0.17388238714745489508 + 7.0642057626870696566e-2795j)  +/-  (6.01e-161, 8.25e-911j)
| (0.13391605490534372339 - 4.1414453036039885501e-2795j)  +/-  (9.67e-161, 1.33e-910j)
| (8.7929746773196544254e-36 + 2.4587258327768000174e-2811j)  +/-  (1.91e-187, 2.62e-937j)
| (2.6707124311262747179e-24 + 1.025702498727951213e-2805j)  +/-  (8.96e-182, 1.23e-931j)
| (4.6298762393213814576e-38 - 1.9039908376576117011e-2812j)  +/-  (6.88e-189, 9.45e-939j)
| (0.17932103275380969203 - 9.2070013334612844564e-2795j)  +/-  (1.13e-167, 1.56e-917j)
| (1.0024576253718463731e-07 + 1.4240510272331189829e-2797j)  +/-  (3.77e-173, 5.16e-923j)
| (5.4946421104740791437e-26 - 1.5264142158129435567e-2806j)  +/-  (8.39e-183, 1.15e-932j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 50
-------------------------------------------------
Trying to find an order 50 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^51 + 18131144153175521763929004298347530161083620289892271391693597284251/7086160198304780325462239212620335436367989676318342355555206751*t^50 - 22288982038200387376663405505836959815217624289600667895735127261438750/7086160198304780325462239212620335436367989676318342355555206751*t^49 + 357929220120545751624120742099411946508318479208321277013603212653541250/144615514251117965825759983931027253803428360741190660317453199*t^48 - 202639718563479461431337775899608444436015478731423027556594823701263760000/144615514251117965825759983931027253803428360741190660317453199*t^47 + 87967772759918354993829009521810387474455217037285255202671884196643972368000/144615514251117965825759983931027253803428360741190660317453199*t^46 - 30473686098094663331691994350313947506836455238049143402342968482809884423648000/144615514251117965825759983931027253803428360741190660317453199*t^45 + 8656606254398241896358512852681514169686492923845966539500128036620962721309600000/144615514251117965825759983931027253803428360741190660317453199*t^44 - 2056421731075707682738139959073374290167519019512021701644037440438691119712603200000/144615514251117965825759983931027253803428360741190660317453199*t^43 + 414575537793048720922761569402019239744434064826354195205333573747993002593939515200000/144615514251117965825759983931027253803428360741190660317453199*t^42 - 71736703630511512036046994312229674156449381796014288792181110361817589660309235953280000/144615514251117965825759983931027253803428360741190660317453199*t^41 + 10749579700442494102537907556495131143940852677249541052889786995150578924325719739626880000/144615514251117965825759983931027253803428360741190660317453199*t^40 - 1404864904325394163918048106715573368602513310307756166108107483334513552923466771325184000000/144615514251117965825759983931027253803428360741190660317453199*t^39 + 161044944285239326357231899090120122407510812846922102444216473975927140164609996551913728000000/144615514251117965825759983931027253803428360741190660317453199*t^38 - 16267763088557462951004238074206016002445272053716874507661759553434156075434271854291404288000000/144615514251117965825759983931027253803428360741190660317453199*t^37 + 1453411672521568099424617025670230014791229157800081582477502141207438888709997817023805632204800000/144615514251117965825759983931027253803428360741190660317453199*t^36 - 115191625540024131495194027771201868496502205379305849876015023200887757767764248247821877077708800000/144615514251117965825759983931027253803428360741190660317453199*t^35 + 8117924080418031029283396686312706152868864117446249245582744522403934282280757341939793234403840000000/144615514251117965825759983931027253803428360741190660317453199*t^34 - 509621003691248754786308368078547832204121118413308386728625216842441435476574949751179977631585280000000/144615514251117965825759983931027253803428360741190660317453199*t^33 + 28537009037013870199924075169881007137959640908327888766177880835523741612306770188288670108097735680000000/144615514251117965825759983931027253803428360741190660317453199*t^32 - 1426672021252735120531739064907290090367133525057662490859214445429176476385460943160412883447693705216000000/144615514251117965825759983931027253803428360741190660317453199*t^31 + 2055224979720055366268968091172231003494892214470335684933036340688840897564060611099705789437346840576000000/4665016588745740833089031739710556574304140669070666461853329*t^30 - 81998603550793902558726134059300732491047403372012782241334828247974377135859590444574370979526095667200000000/4665016588745740833089031739710556574304140669070666461853329*t^29 + 100768470672173072342518734940854753888062845662080135895634372238016912646116315133546593410198706585600000000/160862640991232442520311439300364019803591057554160912477701*t^28 - 3206148326069564334031518610388993460693196925527491673734002437220826991138831776500691025642936310169600000000/160862640991232442520311439300364019803591057554160912477701*t^27 + 90994555952891810170128519202625494264014100432892260163421544519673239813032112061909157596677165663911936000000/160862640991232442520311439300364019803591057554160912477701*t^26 - 2300943494657473233357346848884006419569579041452474441139749027219666278675853127547512287025764021605236736000000/160862640991232442520311439300364019803591057554160912477701*t^25 + 51759919781012949127114634224531249728583135917818289769225414280736766717890540312161723993933373517332480000000000/160862640991232442520311439300364019803591057554160912477701*t^24 - 1033863606867640748202551213388330265228573286593821807105393698398090650357090264487266983833371166805852160000000000/160862640991232442520311439300364019803591057554160912477701*t^23 + 18295222774499039253601034037763948103242683738118809172226751586634755739126013300361910321714670937476956160000000000/160862640991232442520311439300364019803591057554160912477701*t^22 - 286065737100889383126781408088523015363408767689810863078980217904548649832089060240801904687831290221321781248000000000/160862640991232442520311439300364019803591057554160912477701*t^21 + 3940100939579957143106469837490140696308886672336950894745214838813643516747380377515237431539730877072411721728000000000/160862640991232442520311439300364019803591057554160912477701*t^20 - 47633575884058518110359084256995997337051494811969501958214937060701590105800930580544790640374885238260734361600000000000/160862640991232442520311439300364019803591057554160912477701*t^19 + 503385948437445256588221627026571217735070549858226954584648563566060051123203573503509997955382774522272494387200000000000/160862640991232442520311439300364019803591057554160912477701*t^18 - 4628334716295284184155518129501710416680799999091911203028050788706530613265316552028713818018803184827403285299200000000000/160862640991232442520311439300364019803591057554160912477701*t^17 + 36824358972055714908512203372023185348546231576159075497831177480327008962115723589826572927021259422740018553159680000000000/160862640991232442520311439300364019803591057554160912477701*t^16 - 251960156451466750857124469153651538077965208501551328949450310234758761674041735670158590269776058753357561756385280000000000/160862640991232442520311439300364019803591057554160912477701*t^15 + 1471975568861375514380715830375840421011091170374150735965479882084276443619827656968887809139600307098023597441024000000000000/160862640991232442520311439300364019803591057554160912477701*t^14 - 7281714616824826989885286852130267878454196756890660503394424984635479479684736695322016324938576574058795009835008000000000000/160862640991232442520311439300364019803591057554160912477701*t^13 + 30208248175124072415478942755325116413828825383286285106260080221658924101624552500187947292558000637581801258221568000000000000/160862640991232442520311439300364019803591057554160912477701*t^12 - 103904638838426020349237912945108659275682073352166948912119547835630773648614885554329765837375810035271766905769164800000000000/160862640991232442520311439300364019803591057554160912477701*t^11 + 292346577897928072691047499231626215484176229616216971815757064187024875226759688660144719317236120751344755197922508800000000000/160862640991232442520311439300364019803591057554160912477701*t^10 - 662018472019776625923815764845249819822585363119488436151313238979367953374674408714167556195754290786433573207408640000000000000/160862640991232442520311439300364019803591057554160912477701*t^9 + 1182927133249912942407617785288431577326159108955504899150555403156543779304834550799570224743244527367110473421946880000000000000/160862640991232442520311439300364019803591057554160912477701*t^8 - 1627339948444502540286716366421644997697091550359234097207319824579584297568444626229698681642720737416334250638049280000000000000/160862640991232442520311439300364019803591057554160912477701*t^7 + 1670419377687357558750521008760410001805567575487148516879707747115275858189480846967176005277069182785845880858607616000000000000/160862640991232442520311439300364019803591057554160912477701*t^6 - 1227792809010114014147787631891761656962497318717232969669826536277829507064338948552880088251181048996969582539309056000000000000/160862640991232442520311439300364019803591057554160912477701*t^5 + 610798344497983547485866163490602594536879285435338651733979676704560404198634051526903699458073149022094702621491200000000000000/160862640991232442520311439300364019803591057554160912477701*t^4 - 189505135869202858936005167168954627392937729524758929228712242576474754028816504466006705977158509100373492786790400000000000000/160862640991232442520311439300364019803591057554160912477701*t^3 + 32218314533708179967152949358558683866576352553870301447242476250262537957608059710355298147237422790621199230566400000000000000/160862640991232442520311439300364019803591057554160912477701*t^2 - 2370365063641756581807253114478627546755988546214627230647106105040744381365291937013483860628311594412271166554112000000000000/160862640991232442520311439300364019803591057554160912477701*t + 42416960089938407181220985887697262435017037021953536186564982550205602472979197984285173911326065991663654797312000000000000/160862640991232442520311439300364019803591057554160912477701
-------------------------------------------------
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
  current precision for roots: 848
  current precision for roots: 1696
  current precision for roots: 3392
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   51 out of 51
Indefinite weights: 0 out of 51
Negative weights:   0 out of 51
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (167.43620273211060085 + 4.4225455462078008528e-2756j)  +/-  (3.68e-1002, 3.68e-1002j)
| (119.35980719353037127 - 5.8171339606872592592e-2770j)  +/-  (1.05e-997, 1.05e-997j)
| (127.10387962738249073 + 3.7904614839198325169e-2790j)  +/-  (2.33e-998, 2.33e-998j)
| (144.8169312222279863 + 1.0157647053425616343e-2806j)  +/-  (6.51e-1000, 6.51e-1000j)
| (155.26274767672022452 - 3.7320627468803703637e-2825j)  +/-  (6.59e-1001, 6.59e-1001j)
| (182.8059331266249576 + 1.4789211597114432777e-2845j)  +/-  (7.16e-1004, 7.16e-1004j)
| (135.52959830686540042 - 2.6117798814761802447e-2897j)  +/-  (4.8e-999, 4.8e-999j)
| (77.331675216694716392 - 5.5470926181978928102e-2964j)  +/-  (1.26e-995, 1.26e-995j)
| (112.17768943590305455 + 2.8926451325524378012e-3023j)  +/-  (3.16e-997, 3.16e-997j)
| (105.47272773476789263 - 7.4440513995134318543e-3086j)  +/-  (8.37e-997, 8.37e-997j)
| (7.5181529501340643102 + 3.8085698332114451923e-3123j)  +/-  (1.78e-1006, 1.78e-1006j)
| (68.008295980885875315 - 1.3686778497793102304e-3130j)  +/-  (1.47e-995, 1.47e-995j)
| (6.3533691684780428671 - 2.4994476738159356943e-3165j)  +/-  (2.12e-1007, 2.12e-1007j)
| (25.15776118016079298 - 9.1575059861228423433e-3155j)  +/-  (2.73e-999, 2.73e-999j)
| (44.891275378125424363 + 5.2892294080596474067e-3157j)  +/-  (1.86e-996, 1.86e-996j)
| (72.553692100050632214 - 4.1322322728727390772e-3170j)  +/-  (1.47e-995, 1.47e-995j)
| (11.640940648124186929 - 4.1001786992928550607e-3190j)  +/-  (6.74e-1004, 6.74e-1004j)
| (35.590834607477264381 - 1.2029349492397688999e-3182j)  +/-  (1.86e-997, 1.86e-997j)
| (30.108333014866985765 - 7.5933108239012845822e-3184j)  +/-  (2.55e-998, 2.55e-998j)
| (48.300720174751317931 + 1.5607474918605841165e-3180j)  +/-  (3.54e-996, 3.54e-996j)
| (32.781047933929061406 + 1.6620019414647096678e-3187j)  +/-  (7.64e-998, 7.64e-998j)
| (14.929169122172873258 + 6.2054737289179196202e-3193j)  +/-  (2.09e-1002, 2.09e-1002j)
| (38.542307711115486566 + 2.463973803795809045e-3186j)  +/-  (4.17e-997, 4.17e-997j)
| (8.7866964667916746747 + 1.2046849589846069506e-3215j)  +/-  (1.48e-1005, 1.48e-1005j)
| (41.640569018948390331 + 1.32456934048851618e-3205j)  +/-  (8.92e-997, 8.92e-997j)
| (0.025524400072201468283 - 1.711594137520882953e-3277j)  +/-  (1.3e-1020, 1.3e-1020j)
| (51.875931751912454933 + 1.4147195002099082426e-3259j)  +/-  (5.54e-996, 5.54e-996j)
| (2.0415330827229562682 - 7.8841142627240018257e-3320j)  +/-  (1.42e-1012, 1.42e-1012j)
| (3.4686285147578125276 - 1.2690168026944132459e-3316j)  +/-  (2.03e-1010, 2.03e-1010j)
| (99.182016371959880289 - 1.9196663038740580707e-3319j)  +/-  (1.98e-996, 1.98e-996j)
| (22.872638429570535875 + 1.7865362571609608737e-3359j)  +/-  (7.69e-1000, 7.69e-1000j)
| (10.160438784629885805 - 3.1601517363677966225e-3382j)  +/-  (9.32e-1005, 9.32e-1005j)
| (1 + 7.0815268507026611796e-3414j)  +/-  (5.93e-1015, 5.93e-1015j)
| (93.257228714929742951 + 6.9537044697489001246e-3395j)  +/-  (3.63e-996, 3.63e-996j)
| (27.568505135446651403 - 1.7602796324834161202e-3434j)  +/-  (8.71e-999, 8.71e-999j)
| (5.291010515968400874 - 4.4700832012576928463e-3476j)  +/-  (2.43e-1008, 2.43e-1008j)
| (63.680195379148182087 + 1.1561729355504889869e-3479j)  +/-  (1.34e-995, 1.34e-995j)
| (1.4732316698227815653 + 7.2805857592365037606e-3524j)  +/-  (9.63e-1014, 9.63e-1014j)
| (2.7062544700272817482 - 1.9355294876625444712e-3521j)  +/-  (1.87e-1011, 1.87e-1011j)
| (20.709979228872543161 - 3.3268747530533259313e-3506j)  +/-  (2.01e-1000, 2.01e-1000j)
| (13.229900332025887049 - 1.4374598003182018918e-3521j)  +/-  (4.07e-1003, 4.07e-1003j)
| (18.666900491812255004 + 2.4364439131882198999e-3513j)  +/-  (4.83e-1001, 4.83e-1001j)
| (4.3298269313211931195 + 4.6869046051063319697e-3538j)  +/-  (2.16e-1009, 2.16e-1009j)
| (0.33250892065843283804 - 2.5234803584536191303e-3555j)  +/-  (1.64e-1017, 1.64e-1017j)
| (0.13479135745704571054 + 2.8491309954489481183e-3556j)  +/-  (5.02e-1019, 5.02e-1019j)
| (82.360129480084033508 + 4.1192342002635304311e-3550j)  +/-  (9.31e-996, 9.31e-996j)
| (55.62479334814619227 + 4.3636050431154598175e-3623j)  +/-  (8.44e-996, 8.44e-996j)
| (87.660203148530132588 + 3.3088009462955508593e-3688j)  +/-  (6.54e-996, 6.54e-996j)
| (0.62032182870026944937 + 1.0193034570604425878e-3737j)  +/-  (3.22e-1016, 3.22e-1016j)
| (16.740767190810868011 - 3.1808982833342588199e-3717j)  +/-  (1.11e-1001, 1.11e-1001j)
| (59.556190667839138901 + 3.2065380253245253662e-3735j)  +/-  (1.13e-995, 1.13e-995j)
-------------------------------------------------
The weights are:
| (2.5686009124795406799e-72 - 5.6794573271814130361e-2828j)  +/-  (4.67e-189, 6.41e-939j)
| (1.0830631850443245544e-51 + 4.8732183522095891051e-2819j)  +/-  (3.94e-182, 5.41e-932j)
| (5.0801882735601558149e-55 - 1.2487421671692342876e-2820j)  +/-  (1.58e-183, 2.17e-933j)
| (1.253555523983612016e-62 - 3.5047231692767086973e-2824j)  +/-  (8.33e-187, 1.14e-936j)
| (4.1549868043317115066e-67 + 3.7512252988709150844e-2826j)  +/-  (1.66e-188, 2.28e-938j)
| (7.3785223839133894603e-79 - 3.963320813333911436e-2832j)  +/-  (3.11e-193, 4.26e-943j)
| (1.218114955314782269e-58 + 2.4474643222328574455e-2822j)  +/-  (1.08e-185, 1.48e-935j)
| (1.2748982736467135083e-33 - 2.7933459223734067424e-2810j)  +/-  (5.33e-179, 7.31e-929j)
| (1.3264116320901677813e-48 - 1.4765374052230551615e-2817j)  +/-  (1.15e-183, 1.57e-933j)
| (1.013765242865794053e-45 + 3.6353241111628388575e-2816j)  +/-  (2.8e-183, 3.85e-933j)
| (0.00066068720322324009245 + 1.0304754976236373249e-2795j)  +/-  (3.54e-143, 4.85e-893j)
| (1.2918320994964253785e-29 - 2.5441148737928024042e-2808j)  +/-  (2.48e-178, 3.4e-928j)
| (0.0019382111960123525612 - 1.7223124582056297839e-2795j)  +/-  (3e-141, 4.11e-891j)
| (2.7842424482699534326e-11 + 2.5550138957512809541e-2799j)  +/-  (1.68e-164, 2.3e-914j)
| (1.0623718958615655989e-19 - 1.8596186817189489883e-2803j)  +/-  (1.66e-173, 2.28e-923j)
| (1.4408520117010948319e-31 + 2.8178808003838108744e-2809j)  +/-  (3.23e-179, 4.43e-929j)
| (1.3500577568356301127e-05 - 1.5659413991197221275e-2796j)  +/-  (2.11e-154, 2.9e-904j)
| (1.005686468934153646e-15 + 1.6733642669441682474e-2801j)  +/-  (1.29e-170, 1.77e-920j)
| (2.1878929196470078942e-13 + 2.3594095326958835252e-2800j)  +/-  (1.3e-168, 1.78e-918j)
| (3.6831957144006868428e-21 + 3.5664807278401490342e-2804j)  +/-  (2.01e-175, 2.76e-925j)
| (1.5892954122559552224e-14 - 6.5000772535831002651e-2801j)  +/-  (6.09e-170, 8.36e-920j)
| (5.7629068901910765194e-07 - 3.3543647204143150663e-2797j)  +/-  (2.44e-162, 3.35e-912j)
| (5.5190759186208658721e-17 - 4.017158918101309293e-2802j)  +/-  (1.94e-172, 2.66e-922j)
| (0.0002017687974088106876 - 5.8210315571026582304e-2796j)  +/-  (3.47e-157, 4.76e-907j)
| (2.6137732923284230649e-18 + 8.9722652578167096082e-2803j)  +/-  (1.11e-173, 1.53e-923j)
| (0.063888021518415598129 + 1.2811415971523622188e-2795j)  +/-  (2.28e-147, 3.13e-897j)
| (1.0817494077426351792e-22 - 6.3089767256839255378e-2805j)  +/-  (7.65e-178, 1.05e-927j)
| (0.080013681857378348389 + 8.9154194530645079433e-2795j)  +/-  (2.28e-147, 3.13e-897j)
| (0.025289035143628226289 + 5.6223766522964602264e-2795j)  +/-  (2.95e-152, 4.05e-902j)
| (5.1424982163287886073e-43 - 7.4269984671821698363e-2815j)  +/-  (7.98e-189, 1.09e-938j)
| (2.591520826882303318e-10 - 7.6466343671149392157e-2799j)  +/-  (3.16e-170, 4.34e-920j)
| (5.5176752091596850522e-05 + 3.1061419230825469175e-2796j)  +/-  (8.49e-163, 1.17e-912j)
| (0.15678539875687382825 + 1.0178779122668697587e-2794j)  +/-  (1.85e-151, 2.54e-901j)
| (1.8153615804160171054e-40 + 1.2830697678145792732e-2813j)  +/-  (2.88e-188, 3.96e-938j)
| (2.6343270531204506473e-12 - 8.0177656076129230491e-2800j)  +/-  (1.45e-171, 1.98e-921j)
| (0.0050949357324167806654 + 2.7152167775414137556e-2795j)  +/-  (8.57e-161, 1.18e-910j)
| (9.3275396659864633591e-28 + 2.0698006039971649594e-2807j)  +/-  (1.94e-182, 2.67e-932j)
| (0.11929671030749088545 - 9.9895370496775531774e-2795j)  +/-  (1.21e-155, 1.66e-905j)
| (0.047642087485665915273 - 7.3392377876931249992e-2795j)  +/-  (2.96e-158, 4.06e-908j)
| (2.1305302454752131577e-09 + 2.1520837591231427395e-2798j)  +/-  (1.29e-170, 1.77e-920j)
| (2.9523931824291882534e-06 + 7.457938281168929311e-2797j)  +/-  (6.75e-168, 9.27e-918j)
| (1.5511384766795719138e-08 - 5.7024970335495076798e-2798j)  +/-  (2.17e-170, 2.97e-920j)
| (0.011997663003804172736 - 4.0311527597984673105e-2795j)  +/-  (1.66e-163, 2.28e-913j)
| (0.17388238714745489508 + 7.0642057626870696566e-2795j)  +/-  (6.01e-161, 8.25e-911j)
| (0.13391605490534372339 - 4.1414453036039885501e-2795j)  +/-  (9.67e-161, 1.33e-910j)
| (8.7929746773196544254e-36 + 2.4587258327768000174e-2811j)  +/-  (1.91e-187, 2.62e-937j)
| (2.6707124311262747179e-24 + 1.025702498727951213e-2805j)  +/-  (8.96e-182, 1.23e-931j)
| (4.6298762393213814576e-38 - 1.9039908376576117011e-2812j)  +/-  (6.88e-189, 9.45e-939j)
| (0.17932103275380969203 - 9.2070013334612844564e-2795j)  +/-  (1.13e-167, 1.56e-917j)
| (1.0024576253718463731e-07 + 1.4240510272331189829e-2797j)  +/-  (3.77e-173, 5.16e-923j)
| (5.4946421104740791437e-26 - 1.5264142158129435567e-2806j)  +/-  (8.39e-183, 1.15e-932j)
