Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 47
-------------------------------------------------
Trying to find an order 47 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 231/16*t^53 - 377885281662251628888375807965790413832377890993/1947686432166362134893345826539401964625412640*t^51 + 387383846799490496670420859234711709618825063226761/314875973200228545141090908623869984281108376800*t^49 - 9004546883747939586109197571196507694052393696253077867/1839662873422335274986823633634960383162375691454000*t^47 + 468933798001611795183602806227644875531194841619342956277/34217729445655436114754919585610263126820187861044400*t^45 - 47753710749223822347070013896924355103099429093168081932/1663361848052694811133919702078276679775981354356325*t^43 + 183769013715708113030029301821649709286998031863468455779/3934596796722653506735384810231671083058135296683400*t^41 - 34809364768901554510865166925595021260988813329349442257/575794653178924903424690460033903085325580775124400*t^39 + 23170632768041781447014490187857855382481207717829338689/366185196100632065774474196074192751632496545583500*t^37 - 2632765369298792809553206951281762067187177512723900206021/48629394042163938334850173238652797416795541253488800*t^35 + 50065228392922643244030160674427055420926869525260120485349/1312993639138426335040954677443625530253479613844197600*t^33 - 191827811421483905752476524908567936546637301049416258059663/8643874790994640039019618293170534740835407457807634200*t^31 + 62579548800298220727555571143479620206942221632404876945199/5855528084222175510303612392147781598630437310127752200*t^29 - 4601681093976934030639537708598768021493324053805564315217/1081686222454835377519140220224343891372617729703402500*t^27 + 81603910436823718848551082774149817080733922584467918641/58491180917928135228812767463983040052000810569146950*t^25 - 6226534204722267092855149686982284994295071691708481345991/16611495380691590404982825959771183374768230201637733800*t^23 + 8155736508404897963841098458038252281307318553223951698561/99668972284149542429896955758627100248609381209826402800*t^21 - 63899148722556606812420950721486069832200561040997022982829/4451880762025346228535397357218677144437885694038912658400*t^19 + 14788112139270823478226794904000066970024490088230508056013/7419801270042243714225662262031128574063142823398187764000*t^17 - 3347383564198680372324731495450409137324489936914342732901/15581582667088711799873890750265370005532599929136194304400*t^15 + 792692644592177260541473113873878248499065482187870401907/45260787747257686656776539798389884301785171222728945360400*t^13 - 106183552684070783231060090847761665768197399907412093887/101836772431329794977747214546377239679016635251140127060900*t^11 + 501202435093386791600568682402557946932241085519021508929/11609392057171596627463182458287005323407896418629974484942600*t^9 - 881062342448139438051191373700214893466515080508344426329/761060145970138001133697516709925904534517654110187216235126000*t^7 + 17314520164864503775406488841558679861328690400578819/963367273379921520422401919885982157638629941911629387639400*t^5 - 120800197893031562200060789836994205070128836074461699/913272175164165601360437020051911085441421184932224659482151200*t^3 + 52403559290286972156973350085835370811122196899929/179720227241141021954463509970054791914175253259755053472391200*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.88289315181027449924 + 8.1435194932659520804e-841j)  +/-  (1.09e-237, 1.09e-237j)
| (0.99734460267584682349 + 8.8506095579242433044e-837j)  +/-  (3.67e-236, 3.67e-236j)
| (-0.95228493809369463738 + 3.2764346494487552509e-856j)  +/-  (1.26e-236, 1.26e-236j)
| (0.9817128698449648938 - 4.5813551937632377132e-853j)  +/-  (3.32e-236, 3.32e-236j)
| (0.88289315181027449924 + 2.242244409712755559e-862j)  +/-  (1.07e-237, 1.07e-237j)
| (0.93246951420315202781 - 2.1295056384001991748e-867j)  +/-  (6.43e-237, 6.43e-237j)
| (-0.99734460267584682349 - 2.333026666717872934e-877j)  +/-  (3.66e-236, 3.66e-236j)
| (-0.85327952342978886917 - 7.5331878044653433309e-879j)  +/-  (3.21e-238, 3.21e-238j)
| (-0.99126251360552188446 - 2.5349890280595565922e-877j)  +/-  (3.73e-236, 3.73e-236j)
| (0.99993462214518816371 + 1.7694570099220515591e-874j)  +/-  (1.62e-236, 1.62e-236j)
| (0.90931688546599037217 - 5.2729249995146233979e-887j)  +/-  (2.82e-237, 2.82e-237j)
| (-0.3535803266828181116 - 4.1975638241652437067e-907j)  +/-  (6.32e-248, 6.32e-248j)
| (-0.93246951420315202781 + 4.701394772328131148e-895j)  +/-  (6.72e-237, 6.72e-237j)
| (-0.82057209027384559637 + 2.3854026369307557261e-899j)  +/-  (8.43e-239, 8.43e-239j)
| (-0.96871187419170073369 - 2.2813922335955317715e-896j)  +/-  (2.09e-236, 2.09e-236j)
| (0.82057209027384559637 + 1.0999468406207950812e-894j)  +/-  (8.86e-239, 8.86e-239j)
| (0.85327952342978886917 + 1.7703392295252561105e-895j)  +/-  (3.25e-238, 3.25e-238j)
| (-0.9817128698449648938 + 8.0355314120464039656e-899j)  +/-  (3.22e-236, 3.22e-236j)
| (-0.70505753326534335892 + 1.9795300545667342826e-902j)  +/-  (7.59e-241, 7.59e-241j)
| (-0.99993462214518816371 - 2.0212487647389199034e-898j)  +/-  (1.59e-236, 1.59e-236j)
| (0.95228493809369463738 - 1.0803260736739573526e-896j)  +/-  (1.28e-236, 1.28e-236j)
| (0.78488124246896483121 + 4.0238139651915146117e-910j)  +/-  (2.1e-239, 2.1e-239j)
| (0.99126251360552188446 - 5.7995054927585529259e-915j)  +/-  (4.37e-236, 4.37e-236j)
| (-0.78488124246896483121 - 5.6690871432329175641e-935j)  +/-  (2.12e-239, 2.12e-239j)
| (-0.74633088329719868769 - 4.3386808420877399247e-936j)  +/-  (4.23e-240, 4.23e-240j)
| (0.29664036511368588586 - 1.194326565560975928e-944j)  +/-  (3.62e-249, 3.62e-249j)
| (0.74633088329719868769 - 1.3514433584968236971e-932j)  +/-  (4.2e-240, 4.2e-240j)
| (0.61494535382210206066 + 4.1112599204257399806e-938j)  +/-  (1.44e-242, 1.44e-242j)
| (1.1458815734224578097e-953 - 1.6106276479390500041e-952j)  +/-  (8.56e-951, 8.56e-951j)
| (-0.66120938646626451366 + 4.7648959189491079678e-939j)  +/-  (1.1e-241, 1.1e-241j)
| (-0.90931688546599037217 + 3.9867432321311209384e-934j)  +/-  (2.73e-237, 2.73e-237j)
| (0.70505753326534335892 + 6.491375837184319991e-937j)  +/-  (7.27e-241, 7.27e-241j)
| (0.66120938646626451366 - 7.6766393387095123148e-941j)  +/-  (1.12e-241, 1.12e-241j)
| (0.96871187419170073369 - 9.8958617208818475837e-952j)  +/-  (2.16e-236, 2.16e-236j)
| (-0.61494535382210206066 - 3.4877435723930151225e-974j)  +/-  (1.44e-242, 1.44e-242j)
| (-0.46338791386269899325 - 8.070185060544276594e-977j)  +/-  (1.25e-245, 1.25e-245j)
| (0.060201461382343707943 + 7.3394004575297898076e-987j)  +/-  (2.08e-254, 2.08e-254j)
| (0.56643411121793811263 - 5.4674626645708335935e-975j)  +/-  (1.55e-243, 1.55e-243j)
| (0.3535803266828181116 - 7.0832942809279343687e-980j)  +/-  (6.68e-248, 6.68e-248j)
| (-0.23861918608319690863 - 8.9569257656028969214e-984j)  +/-  (2.33e-250, 2.33e-250j)
| (-0.56643411121793811263 - 4.8115015853659554826e-976j)  +/-  (1.52e-243, 1.52e-243j)
| (-0.17972873238989000642 - 6.6081123588265440656e-985j)  +/-  (9.55e-252, 9.55e-252j)
| (0.40923078600513704697 + 9.9436884568171021846e-979j)  +/-  (9.73e-247, 9.73e-247j)
| (0.46338791386269899325 - 2.4996290995261311163e-976j)  +/-  (1.29e-245, 1.29e-245j)
| (0.1201838339531639351 + 1.1758745932827008324e-986j)  +/-  (4.9e-253, 4.9e-253j)
| (-0.51585316137095034318 + 6.6888370024973662923e-978j)  +/-  (1.61e-244, 1.61e-244j)
| (-0.29664036511368588586 - 4.8364867726394678576e-983j)  +/-  (3.83e-249, 3.83e-249j)
| (0.17972873238989000642 + 2.5418236752993171291e-985j)  +/-  (1.03e-251, 1.03e-251j)
| (0.51585316137095034318 - 5.7529325559433681766e-979j)  +/-  (1.53e-244, 1.53e-244j)
| (0.23861918608319690863 + 1.5590237000925784604e-985j)  +/-  (2.24e-250, 2.24e-250j)
| (-0.1201838339531639351 + 5.1000779165103171578e-989j)  +/-  (4.85e-253, 4.85e-253j)
| (-0.40923078600513704697 - 1.1079958872215923509e-981j)  +/-  (9.09e-247, 9.09e-247j)
| (-0.060201461382343707943 + 2.9448687244942142209e-990j)  +/-  (2.08e-254, 2.08e-254j)
-------------------------------------------------
The weights are:
| (0.028033470695632437375 + 4.3141730828746955203e-839j)  +/-  (1.23e-56, 3.88e-169j)
| (0.0043441313872220076726 + 6.6367916595689111614e-839j)  +/-  (4.24e-57, 1.34e-169j)
| (0.0181285288383442615 - 3.6684058081653069205e-839j)  +/-  (3.7e-57, 1.17e-169j)
| (0.011278669154194490597 - 3.8395792992753388339e-837j)  +/-  (2.68e-57, 8.51e-170j)
| (0.028033470695632437375 + 7.0921057097587832822e-838j)  +/-  (5.43e-58, 1.72e-170j)
| (0.021493787964712524426 + 1.1720058139335761903e-837j)  +/-  (8.81e-58, 2.79e-170j)
| (0.0043441313872220076726 - 1.9180805594996063547e-839j)  +/-  (2.39e-59, 7.56e-172j)
| (0.031177761074094127762 - 4.5509735516928994822e-839j)  +/-  (5.6e-59, 1.77e-171j)
| (0.0078180028643646774448 + 2.5489250892409395047e-839j)  +/-  (2.59e-59, 8.21e-172j)
| (0.00077335330284441407905 - 6.0079872572705594763e-837j)  +/-  (4.99e-59, 1.58e-171j)
| (0.024800457310799106795 - 8.9728328300059341494e-838j)  +/-  (2.3e-59, 7.29e-172j)
| (0.056329580319396708706 + 6.439396173424962592e-839j)  +/-  (9.76e-63, 3.09e-175j)
| (0.021493787964712524426 + 3.896789434855266049e-839j)  +/-  (1.18e-59, 3.74e-172j)
| (0.034218693534820655209 + 4.6543793421740563472e-839j)  +/-  (1.15e-60, 3.65e-173j)
| (0.014719130985684515335 + 3.3795727216481358199e-839j)  +/-  (7.12e-60, 2.26e-172j)
| (0.034218693534820655209 + 4.7477207354668660313e-838j)  +/-  (2.01e-62, 6.36e-175j)
| (0.031177761074094127762 - 5.7452240311178236262e-838j)  +/-  (9.53e-62, 3.02e-174j)
| (0.011278669154194490597 - 3.0156308445999621175e-839j)  +/-  (3.94e-60, 1.25e-172j)
| (0.042586372396853026055 - 5.0522414207392967105e-839j)  +/-  (2.22e-64, 7.04e-177j)
| (0.00077335330284441407905 + 7.7536105598787824456e-840j)  +/-  (1.81e-60, 5.74e-173j)
| (0.0181285288383442615 - 1.5998895385420843285e-837j)  +/-  (5.51e-63, 1.75e-175j)
| (0.037142336454668747479 - 3.9893549030506141894e-838j)  +/-  (4.83e-65, 1.53e-177j)
| (0.0078180028643646774448 + 8.377239394610510378e-837j)  +/-  (1.33e-62, 4.22e-175j)
| (0.037142336454668747479 - 4.7799556170055795877e-839j)  +/-  (2.9e-64, 9.18e-177j)
| (0.039935612665487173392 + 4.9125033898731504886e-839j)  +/-  (6.97e-65, 2.21e-177j)
| (0.057515615396540078507 - 1.2418713846102729652e-838j)  +/-  (4.73e-70, 1.5e-182j)
| (0.039935612665487173392 + 3.4004238650194580105e-838j)  +/-  (8.37e-67, 2.65e-179j)
| (0.047416516831811195367 - 2.2573892142299732389e-838j)  +/-  (3.56e-69, 1.13e-181j)
| (0.06023799957745741071 + 8.7448647190435829904e-839j)  +/-  (2.32e-71, 7.36e-184j)
| (0.045083420163950263644 + 5.2014464232002292906e-839j)  +/-  (7.21e-68, 2.29e-180j)
| (0.024800457310799106795 - 4.0584942757464825561e-839j)  +/-  (1.1e-64, 3.49e-177j)
| (0.042586372396853026055 - 2.9348870754004758654e-838j)  +/-  (2.92e-68, 9.27e-181j)
| (0.045083420163950263644 + 2.5612585170485616035e-838j)  +/-  (6.01e-69, 1.9e-181j)
| (0.014719130985684515335 + 2.3356314888748947662e-837j)  +/-  (4.01e-66, 1.27e-178j)
| (0.047416516831811195367 - 5.3627000544707537118e-839j)  +/-  (3.32e-70, 1.05e-182j)
| (0.053343797002294203415 + 5.9442363621545814718e-839j)  +/-  (4.62e-72, 1.47e-184j)
| (0.060128396679205191225 - 9.3054281071451523186e-839j)  +/-  (1.15e-73, 3.65e-186j)
| (0.04957636925161607278 + 2.007329327946805951e-838j)  +/-  (9.41e-72, 2.98e-184j)
| (0.056329580319396708706 + 1.3505213153376297422e-838j)  +/-  (1.74e-73, 5.5e-186j)
| (0.058491406021652573614 + 7.048315331495562381e-839j)  +/-  (1.57e-74, 4.98e-187j)
| (0.04957636925161607278 + 5.5385650042184586546e-839j)  +/-  (9.71e-73, 3.08e-185j)
| (0.059253683947463720286 - 7.4048273054035219597e-839j)  +/-  (8.46e-75, 2.68e-187j)
| (0.054937353040864450237 - 1.4768250911577816225e-838j)  +/-  (1.42e-74, 4.49e-187j)
| (0.053343797002294203415 + 1.6247407184800999175e-838j)  +/-  (1.47e-74, 4.65e-187j)
| (0.05979993907188657916 + 9.9387481079918300821e-839j)  +/-  (3.67e-76, 1.16e-188j)
| (0.051554613854868092582 - 5.7315633243260317539e-839j)  +/-  (3.75e-75, 1.19e-187j)
| (0.057515615396540078507 - 6.7278933584051937499e-839j)  +/-  (4.68e-76, 1.48e-188j)
| (0.059253683947463720286 - 1.0657582288737904957e-838j)  +/-  (1.1e-76, 3.49e-189j)
| (0.051554613854868092582 - 1.7993637727316570186e-838j)  +/-  (5.15e-76, 1.63e-188j)
| (0.058491406021652573614 + 1.1477698296254271661e-838j)  +/-  (1.06e-76, 3.36e-189j)
| (0.05979993907188657916 + 7.8023321372408514195e-839j)  +/-  (4.22e-78, 1.34e-190j)
| (0.054937353040864450237 - 6.1792307490678815438e-839j)  +/-  (4.34e-78, 1.46e-190j)
| (0.060128396679205191225 - 8.2466701668783781643e-839j)  +/-  (4.11e-78, 1.29e-190j)
