Starting with polynomial:
P : 2*t
Extension levels are: 1 2 72 76
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 72 Kronrod extension for:
P2 : 2*t^3 - 1*t
Solvable: 1
-------------------------------------------------
Trying to find an order 76 Kronrod extension for:
P3 : 2*t^75 - 37*t^73 + 657/2*t^71 - 7455/4*t^69 + 971635/128*t^67 - 6051507/256*t^65 + 3746171/64*t^63 - 15147561/128*t^61 + 815295195/4096*t^59 - 2313383215/8192*t^57 + 5594181229/16384*t^55 - 11618684091/32768*t^53 + 2668424446233/8388608*t^51 - 4154140621425/16777216*t^49 + 2814095259675/16777216*t^47 - 3324630574545/33554432*t^45 + 109712808959985/2147483648*t^43 - 98774343460485/4294967296*t^41 + 77581380878925/8589934592*t^39 - 53081997443475/17179869184*t^37 + 505037289962205/549755813888*t^35 - 260170725132045/1099511627776*t^33 + 28907858348005/549755813888*t^31 - 11027197811175/1099511627776*t^29 + 57397978350475/35184372088832*t^27 - 15801325804719/70368744177664*t^25 + 3646459801089/140737488355328*t^23 - 697319977079/281474976710656*t^21 + 3486599885395/18014398509481984*t^19 - 437423756715/36028797018963968*t^17 + 21554214099/36028797018963968*t^15 - 1622360201/72057594037927936*t^13 + 5752004349/9223372036854775808*t^11 - 222945905/18446744073709551616*t^9 + 5620485/36893488147419103232*t^7 - 82251/73786976294838206464*t^5 + 9139/2361183241434822606848*t^3 - 19/4722366482869645213696*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^151 - 75*t^149 + 5513/4*t^147 - 132349/8*t^145 + 4667985/32*t^143 - 64481703/64*t^141 + 1453046595/256*t^139 - 13730216643/512*t^137 + 3553074951283/32768*t^135 - 24970911370905/65536*t^133 + 308724873258879/262144*t^131 - 1694901544680435/524288*t^129 + 2082307612035963/262144*t^127 - 9220001773049109/524288*t^125 + 73969993520839125/2097152*t^123 - 270071465395063725/4194304*t^121 + 28834100570120038875/268435456*t^119 - 88210989151552415225/536870912*t^117 + 496351386718436724475/2147483648*t^115 - 1287528033216997518375/4294967296*t^113 + 6172331359240272951725/17179869184*t^111 - 13697594673995589374875/34359738368*t^109 + 56380449126669957384975/137438953472*t^107 - 107763237949897313222175/274877906944*t^105 + 49032273267203277516089625/140737488355328*t^103 - 81123316999250021036856315/281474976710656*t^101 + 250105464497077293184447125/1125899906842624*t^99 - 359484920970465762737112001/2251799813685248*t^97 + 482074248859011691043776923/4503599627370496*t^95 - 603437488409163779229174085/9007199254740992*t^93 + 1410658784379454998657052861/36028797018963968*t^91 - 1540028718217506856705047045/72057594037927936*t^89 + 100512541008995947514282737137/9223372036854775808*t^87 - 95751824780915161612154754171/18446744073709551616*t^85 + 170405789864340541852139816745/73786976294838206464*t^83 - 141609500099719380689336214013/147573952589676412928*t^81 + 219738879465081797621383780365/590295810358705651712*t^79 - 159110572886466984364625952363/1180591620717411303424*t^77 + 214938844074701013966249093543/4722366482869645213696*t^75 - 135342703042272592184329755975/9444732965739290427392*t^73 + 2540575882822088373288704276445/604462909807314587353088*t^71 - 1387240401848580445533383899575/1208925819614629174706176*t^69 + 1408859732786480400528709362945/4835703278458516698824704*t^67 - 664601849624687041939188479085/9671406556917033397649408*t^65 + 145451583251194133757734852325/9671406556917033397649408*t^63 - 58996249655157246776501799915/19342813113834066795298816*t^61 + 44283485180040099098030473275/77371252455336267181195264*t^59 - 15353402865865979646753827715/154742504910672534362390528*t^57 + 157077121627705791770635314315/9903520314283042199192993792*t^55 - 46217460990121478260232502825/19807040628566084398385987584*t^53 + 24975553429171528252000152507/79228162514264337593543950336*t^51 - 6182067680488002042574295175/158456325028528675187087900672*t^49 + 2796196766251496308487450433/633825300114114700748351602688*t^47 - 576079417632526683719255559/1267650600228229401496703205376*t^45 + 215539918161829711595639835/5070602400912917605986812821504*t^43 - 36482201705741748748053003/10141204801825835211973625643008*t^41 + 356135778556050404445279315/1298074214633706907132624082305024*t^39 - 48734369697143739555669801/2596148429267413814265248164610048*t^37 + 11906489441781999465911991/10384593717069655257060992658440192*t^35 - 1291117408029941622419835/20769187434139310514121985316880384*t^33 + 123498186855037894318419/41538374868278621028243970633760768*t^31 - 10345281370490473943085/83076749736557242056487941267521536*t^29 + 1505442378644850330069/332306998946228968225951765070086144*t^27 - 94241176191250662717/664613997892457936451903530140172288*t^25 + 642553474031254518525/170141183460469231731687303715884105728*t^23 - 28747308387251528415/340282366920938463463374607431768211456*t^21 + 2127179267555609925/1361129467683753853853498429727072845824*t^19 - 63871405575418665/2722258935367507707706996859454145691648*t^17 + 3041495503591365/10889035741470030830827987437816582766592*t^15 - 55763406299475/21778071482940061661655974875633165533184*t^13 + 1515521146815/87112285931760246646623899502532662132736*t^11 - 14493768575/174224571863520493293247799005065324265472*t^9 + 2898753715/11150372599265311570767859136324180752990208*t^7 - 10555545/22300745198530623141535718272648361505980416*t^5 + 36575/89202980794122492566142873090593446023921664*t^3 - 19/178405961588244985132285746181186892047843328*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
  current precision for roots: 424
 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 weights: 212
Linear system for weights solvable: 0
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 0
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   151 out of 151
Indefinite weights: 0 out of 151
Negative weights:   0 out of 151
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.98955229332720276916 + 1.9435327112951618396e-1649j)  +/-  (8.05e-455, 8.05e-455j)
| (-0.93159108805127897294 - 3.0699420613749500177e-1663j)  +/-  (1.09e-456, 1.09e-456j)
| (-0.92387953251128675613 + 1.5829124244160362926e-1663j)  +/-  (5.09e-457, 5.09e-457j)
| (-0.99978641678793101844 - 8.962777243263242901e-1661j)  +/-  (4.92e-456, 4.92e-456j)
| (0.91577332665505743992 + 2.8616231848909608355e-1662j)  +/-  (2.38e-457, 2.38e-457j)
| (0.92387953251128675613 + 2.6462538978855352386e-1662j)  +/-  (5.44e-457, 5.44e-457j)
| (0.98274897304735937662 - 1.0512703359673122744e-1658j)  +/-  (6.54e-455, 6.54e-455j)
| (-0.89839098189197887157 + 1.8531481687632355394e-1671j)  +/-  (4.09e-458, 4.09e-458j)
| (-0.93890469915742953058 - 3.6653505025586227374e-1668j)  +/-  (2.14e-456, 2.14e-456j)
| (0.94581724170063467902 - 6.333204257320078851e-1668j)  +/-  (4.25e-456, 4.25e-456j)
| (0.86944955261636686927 + 1.9560654294375677834e-1672j)  +/-  (1.91e-459, 1.91e-459j)
| (-0.95842748245825270023 + 1.2713743545927083754e-1666j)  +/-  (1.25e-455, 1.25e-455j)
| (-0.91577332665505743992 + 4.112317499426861894e-1669j)  +/-  (2.42e-457, 2.42e-457j)
| (-0.86944955261636686927 + 2.5353577397420772258e-1671j)  +/-  (1.93e-459, 1.93e-459j)
| (-0.97426664263228751672 + 4.0657285015617119144e-1666j)  +/-  (3.95e-455, 3.95e-455j)
| (0.8590539543698851819 - 2.5604951911812618671e-1673j)  +/-  (6.54e-460, 6.54e-460j)
| (0.88912226813918519696 + 1.6132354057707063117e-1671j)  +/-  (1.56e-458, 1.56e-458j)
| (0.96940026593933041674 - 1.1736734657029741235e-1666j)  +/-  (2.83e-455, 2.83e-455j)
| (-0.78914050939639359922 - 1.0282638064466674168e-1679j)  +/-  (2.61e-463, 2.61e-463j)
| (-0.90727593318155995601 - 1.5937883625955922423e-1671j)  +/-  (1.02e-457, 1.02e-457j)
| (0.89839098189197887157 - 5.4776699610092061364e-1671j)  +/-  (4.26e-458, 4.26e-458j)
| (0.77627808876575741313 + 3.9378590109020019346e-1677j)  +/-  (6.17e-464, 6.17e-464j)
| (-0.99658449300666984982 - 9.5514562138433405769e-1668j)  +/-  (5.53e-455, 5.53e-455j)
| (-0.83716647826252857481 + 8.5418884545571232531e-1675j)  +/-  (5.73e-461, 5.73e-461j)
| (-0.8256839499965558397 + 4.070313081116311574e-1675j)  +/-  (1.65e-461, 1.65e-461j)
| (-0.99914575838730102919 - 4.8873530011909095823e-1670j)  +/-  (1.81e-455, 1.81e-455j)
| (0.76308406819980650614 + 2.3990195600423373189e-1677j)  +/-  (1.31e-464, 1.31e-464j)
| (0.8256839499965558397 - 2.9237783858487216466e-1674j)  +/-  (1.64e-461, 1.64e-461j)
| (-0.87947375120648907139 + 6.8164819419700181684e-1673j)  +/-  (5.78e-459, 5.78e-459j)
| (-0.64629923786094089199 - 4.5407642783092057421e-1686j)  +/-  (9.59e-471, 9.59e-471j)
| (0.99978641678793101844 - 1.4004968748346312731e-1665j)  +/-  (4.76e-456, 4.76e-456j)
| (0.83716647826252857481 - 3.5959346915065801229e-1681j)  +/-  (5.68e-461, 5.68e-461j)
| (0.72156946105306217149 + 7.1222300847612526933e-1687j)  +/-  (1.1e-466, 1.1e-466j)
| (-0.99466498011324257229 - 3.7078146586664305774e-1675j)  +/-  (7.02e-455, 7.02e-455j)
| (-0.73572391067313162477 + 1.9992128301977141022e-1687j)  +/-  (5.57e-466, 5.57e-466j)
| (-0.80166583569748851717 - 6.8706432630982203873e-1684j)  +/-  (1.16e-462, 1.16e-462j)
| (0.9863613034027223736 + 8.8594499896912397596e-1674j)  +/-  (7.51e-455, 7.51e-455j)
| (0.6303906161279551077 - 1.4582837812108948797e-1701j)  +/-  (1.38e-471, 1.38e-471j)
| (0.80166583569748851717 + 1.9534540238754149231e-1692j)  +/-  (1.16e-462, 1.16e-462j)
| (-0.8590539543698851819 + 2.368732523838243361e-1691j)  +/-  (6.55e-460, 6.55e-460j)
| (-0.59777243820324080367 - 5.0491766530709437099e-1704j)  +/-  (2.13e-473, 2.13e-473j)
| (-0.99232057973704506275 - 4.8901348267314420029e-1686j)  +/-  (7.78e-455, 7.78e-455j)
| (0.78914050939639359922 - 1.8321013060939437854e-1693j)  +/-  (2.61e-463, 2.61e-463j)
| (0.67728157162574107476 - 2.6747271917472658837e-1699j)  +/-  (4.05e-469, 4.05e-469j)
| (0.99466498011324257229 - 2.0013157329077750647e-1683j)  +/-  (7.04e-455, 7.04e-455j)
| (-0.69234204904482971468 - 1.0851577284943953064e-1711j)  +/-  (2.44e-468, 2.44e-468j)
| (-0.77627808876575741313 - 3.2777424643552030965e-1707j)  +/-  (5.91e-464, 5.91e-464j)
| (0.93159108805127897294 - 1.3194212304987510953e-1698j)  +/-  (1.06e-456, 1.06e-456j)
| (0.51188504908960100217 + 2.9666923697278991201e-1721j)  +/-  (3.2e-478, 3.2e-478j)
| (0.84829139711757373375 + 7.7807740399615846419e-1703j)  +/-  (2.05e-460, 2.05e-460j)
| (-0.76308406819980650614 + 7.3159669387538514563e-1708j)  +/-  (1.35e-464, 1.35e-464j)
| (-0.58107681540193828 + 2.8344993787389529435e-1717j)  +/-  (2.42e-474, 2.42e-474j)
| (0.97426664263228751672 - 1.241291908959581662e-1695j)  +/-  (4.09e-455, 4.09e-455j)
| (0.6619317822595665273 + 1.2145302768416472781e-1718j)  +/-  (6.58e-470, 6.58e-470j)
| (0.61421271268966781744 + 1.6230985687187649203e-1721j)  +/-  (1.61e-472, 1.61e-472j)
| (0.99232057973704506275 + 2.7465939726256609645e-1702j)  +/-  (8.32e-455, 8.32e-455j)
| (-0.54694815812242687471 - 1.7948007386048099522e-1744j)  +/-  (2.95e-476, 2.95e-476j)
| (-0.74956408374112603823 + 5.4108905124448624371e-1733j)  +/-  (2.74e-465, 2.74e-465j)
| (0.8138487172701949671 - 1.9809959456438820022e-1728j)  +/-  (4.54e-462, 4.54e-462j)
| (0.42053582614270755375 - 2.0081214484042006845e-1751j)  +/-  (1.21e-483, 1.21e-483j)
| (0.95232576287481453578 + 5.1358539001292980787e-1721j)  +/-  (7.32e-456, 7.32e-456j)
| (-0.72156946105306217149 - 4.0337868291975729387e-1748j)  +/-  (1.1e-466, 1.1e-466j)
| (-0.52952970226070871205 - 4.1927488504306187938e-1759j)  +/-  (3.04e-477, 3.04e-477j)
| (0.99658449300666984982 - 5.8479858798442036055e-1733j)  +/-  (5.59e-455, 5.59e-455j)
| (0.56413297609525103506 + 3.6764539104602445451e-1784j)  +/-  (2.86e-475, 2.86e-475j)
| (0.58107681540193828 - 4.8925998980561037239e-1783j)  +/-  (2.37e-474, 2.37e-474j)
| (-0.94581724170063467902 - 2.0452647940535714661e-1762j)  +/-  (4.03e-456, 4.03e-456j)
| (-0.43919658884737036545 + 4.4588258763573713044e-1793j)  +/-  (1.43e-482, 1.43e-482j)
| (-0.84829139711757373375 - 1.2503595153812348828e-1771j)  +/-  (2.06e-460, 2.06e-460j)
| (0.95842748245825270023 + 1.1292296230698291438e-1762j)  +/-  (1.24e-455, 1.24e-455j)
| (0.38268343236508977173 + 4.3942573245388726423e-1808j)  +/-  (5.77e-486, 5.77e-486j)
| (0.90727593318155995601 - 1.0883523142135009024e-1775j)  +/-  (1.02e-457, 1.02e-457j)
| (-0.61421271268966781744 - 2.7668595701844744049e-1800j)  +/-  (1.58e-472, 1.58e-472j)
| (-0.51188504908960100217 + 1.2233426139853437055e-1804j)  +/-  (3.21e-478, 3.21e-478j)
| (-0.98955229332720276916 + 2.1891702828167849011e-1779j)  +/-  (8.17e-455, 8.17e-455j)
| (0.43919658884737036545 - 6.5058342481527164937e-1838j)  +/-  (1.41e-482, 1.41e-482j)
| (0.64629923786094089199 - 1.8698649647712549629e-1825j)  +/-  (9.55e-471, 9.55e-471j)
| (0.99914575838730102919 - 4.0072371438217483924e-1808j)  +/-  (1.81e-455, 1.81e-455j)
| (-0.30508300733554878941 - 8.8963370452657348599e-1870j)  +/-  (7.86e-491, 7.86e-491j)
| (-0.88912226813918519696 - 8.5208919197193803861e-1837j)  +/-  (1.57e-458, 1.57e-458j)
| (0.59777243820324080367 + 2.0915499041182775052e-1853j)  +/-  (2.21e-473, 2.21e-473j)
| (0.34417723036263852609 - 1.9889814884452143145e-1867j)  +/-  (2.16e-488, 2.16e-488j)
| (-0.9863613034027223736 - 7.4054177041045971409e-1832j)  +/-  (7.97e-455, 7.97e-455j)
| (-0.49402173581250400172 + 8.5083990635170078082e-1864j)  +/-  (1.83e-479, 1.83e-479j)
| (-0.6303906161279551077 - 1.0464843925586334214e-1854j)  +/-  (1.37e-471, 1.37e-471j)
| (-0.98274897304735937662 - 4.5477398236269712144e-1836j)  +/-  (6.61e-455, 6.61e-455j)
| (0.30508300733554878941 + 6.7607793181765338801e-1875j)  +/-  (7.81e-491, 7.81e-491j)
| (0.54694815812242687471 - 9.0960651154545869741e-1861j)  +/-  (2.96e-476, 2.96e-476j)
| (0.99807829846586812328 - 1.4158893250101581741e-1836j)  +/-  (3.57e-455, 3.57e-455j)
| (-0.26546755510807231045 + 1.5483943322212217418e-1885j)  +/-  (3.01e-493, 3.01e-493j)
| (0.73572391067313162477 - 1.194664751176465134e-1857j)  +/-  (5.7e-466, 5.7e-466j)
| (0.52952970226070871205 - 4.2314219163578117766e-1869j)  +/-  (3.05e-477, 3.05e-477j)
| (0.32469946920468348741 + 1.8799170728964184771e-1882j)  +/-  (1.38e-489, 1.38e-489j)
| (0.97871684532735448364 + 1.0072632800296158729e-1844j)  +/-  (5.49e-455, 5.49e-455j)
| (-0.38268343236508977173 + 2.0880241664501018839e-1884j)  +/-  (5.71e-486, 5.71e-486j)
| (-0.40169542465296945752 + 2.2436947054203290037e-1883j)  +/-  (8.69e-485, 8.69e-485j)
| (0.93890469915742953058 + 1.2644974845402904627e-1852j)  +/-  (2.13e-456, 2.13e-456j)
| (0.2253985560158062863 + 1.5779253657678592523e-1893j)  +/-  (7.17e-496, 7.17e-496j)
| (0.7071067811865475244 + 2.4524014314926913047e-1865j)  +/-  (2.06e-467, 2.06e-467j)
| (-0.56413297609525103506 + 1.3554714816667148381e-1873j)  +/-  (2.82e-475, 2.82e-475j)
| (-0.24548548714079914892 - 1.9262673372646658724e-1893j)  +/-  (1.16e-494, 1.16e-494j)
| (-0.42053582614270755375 - 1.5885174208126933654e-1882j)  +/-  (1.2e-483, 1.2e-483j)
| (0.40169542465296945752 + 9.8223160340314795309e-1883j)  +/-  (8.55e-485, 8.55e-485j)
| (0.45766974151568165475 + 2.3868447068399302074e-1879j)  +/-  (1.65e-481, 1.65e-481j)
| (0.9641197940012136225 + 3.8942126603657665855e-1852j)  +/-  (1.95e-455, 1.95e-455j)
| (-0.28533622424910530907 - 6.3576707774030053468e-1894j)  +/-  (4.58e-492, 4.58e-492j)
| (-0.47594739303707354443 + 5.1100335758970562728e-1882j)  +/-  (1.89e-480, 1.89e-480j)
| (0.69234204904482971468 + 1.4192361387756717346e-1870j)  +/-  (2.45e-468, 2.45e-468j)
| (0.20521534219563429132 + 2.344915806503552806e-1899j)  +/-  (4.12e-497, 4.12e-497j)
| (-0.97871684532735448364 + 1.8969684288359326079e-1854j)  +/-  (5.5e-455, 5.5e-455j)
| (-0.45766974151568165475 - 4.166338921333542391e-1886j)  +/-  (1.63e-481, 1.63e-481j)
| (-0.2253985560158062863 + 3.4163271495967328607e-1899j)  +/-  (7.86e-496, 7.86e-496j)
| (0.47594739303707354443 - 1.5570575882651398477e-1883j)  +/-  (1.88e-480, 1.88e-480j)
| (0.36350797056382984848 + 4.6901291745182433653e-1890j)  +/-  (4.34e-487, 4.34e-487j)
| (0.28533622424910530907 + 9.0395433855167338888e-1896j)  +/-  (4.59e-492, 4.59e-492j)
| (-0.96940026593933041674 + 3.6803144364771472229e-1856j)  +/-  (2.87e-455, 2.87e-455j)
| (-0.20521534219563429132 + 2.9996255658423060881e-1902j)  +/-  (4e-497, 4e-497j)
| (-0.32469946920468348741 + 1.5329723665379829502e-1894j)  +/-  (1.38e-489, 1.38e-489j)
| (-0.67728157162574107476 + 5.8649464109342535449e-1874j)  +/-  (4.21e-469, 4.21e-469j)
| (0.1849444672715583388 + 4.9617045545697596321e-1903j)  +/-  (2.07e-498, 2.07e-498j)
| (0.74956408374112603823 + 1.3400236877343459606e-1869j)  +/-  (2.89e-465, 2.89e-465j)
| (-0.99807829846586812328 - 3.533058950575313532e-1857j)  +/-  (3.8e-455, 3.8e-455j)
| (-0.1849444672715583388 + 5.9917602305636973206e-1906j)  +/-  (2.15e-498, 2.15e-498j)
| (-0.9641197940012136225 + 3.1589320442439910623e-1860j)  +/-  (1.98e-455, 1.98e-455j)
| (0.26546755510807231045 - 2.7233337994553926944e-1903j)  +/-  (2.9e-493, 2.9e-493j)
| (0.24548548714079914892 - 3.7804293513007920953e-1905j)  +/-  (1.21e-494, 1.21e-494j)
| (-0.8138487172701949671 - 3.7065044716070222325e-1870j)  +/-  (4.47e-462, 4.47e-462j)
| (-0.16459459028073389414 + 6.3521850064042005309e-1911j)  +/-  (9.72e-500, 9.72e-500j)
| (-0.7071067811865475244 + 5.0850759553543398783e-1876j)  +/-  (1.35e-467, 1.35e-467j)
| (0.87947375120648907139 + 2.3504239040230101312e-1869j)  +/-  (6.1e-459, 6.1e-459j)
| (0.14417440400734677525 + 2.84006530656642397e-1911j)  +/-  (4.56e-501, 4.56e-501j)
| (0.041324974248813211938 + 1.7707982215517228945e-1918j)  +/-  (6.01e-508, 6.01e-508j)
| (-0.041324974248813211938 - 4.9646710663982903876e-1918j)  +/-  (6.26e-508, 6.26e-508j)
| (-0.36350797056382984848 - 2.7320946253107973804e-1897j)  +/-  (4.28e-487, 4.28e-487j)
| (0.0825793454723323246 + 2.9854492327393001319e-1915j)  +/-  (4.46e-505, 4.46e-505j)
| (0.16459459028073389414 - 8.4183259689004507806e-1910j)  +/-  (9.8e-500, 9.8e-500j)
| (0.49402173581250400172 - 9.1107850116904067444e-1890j)  +/-  (1.85e-479, 1.85e-479j)
| (-0.14417440400734677525 - 1.7225499367384867323e-1912j)  +/-  (4.55e-501, 4.55e-501j)
| (-0.12369263126934761602 + 7.6723711107706548052e-1914j)  +/-  (1.35e-502, 1.35e-502j)
| (0.020666901227554299394 - 4.824612364175177062e-1919j)  +/-  (1.34e-509, 1.34e-509j)
| (-0.061965394628594665534 - 3.4152266089104034891e-1917j)  +/-  (1.54e-506, 1.54e-506j)
| (0.12369263126934761602 - 2.5769869442292466458e-1913j)  +/-  (1.33e-502, 1.33e-502j)
| (-0.6619317822595665273 + 1.1804800819429362393e-1878j)  +/-  (6.45e-470, 6.45e-470j)
| (-0.34417723036263852609 + 1.6379350217762264009e-1898j)  +/-  (2.13e-488, 2.13e-488j)
| (-0.95232576287481453578 + 1.9533997440848346031e-1911j)  +/-  (7.43e-456, 7.43e-456j)
| (-0.020666901227554299394 + 2.6603246877791742808e-1965j)  +/-  (1.34e-509, 1.34e-509j)
| (0.10315802119235691397 - 3.3190046541489591393e-1960j)  +/-  (7.3e-504, 7.3e-504j)
| (0.061965394628594665534 - 5.7959264485375234231e-1963j)  +/-  (1.63e-506, 1.63e-506j)
| (6.6374211128505828385e-2100 - 9.6729992343857297304e-2100j)  +/-  (1.77e-2097, 1.77e-2097j)
| (-0.0825793454723323246 + 5.9855016945357118702e-1962j)  +/-  (4.37e-505, 4.37e-505j)
| (-0.10315802119235691397 - 5.6126136410079823228e-1961j)  +/-  (6.99e-504, 6.99e-504j)
-------------------------------------------------
The weights are:
| (0.00013675170243995822294 - 1.8979216319999295928e-1651j)  +/-  (3.65e-53, 1.5e-264j)
| (0.00086932924120680386587 + 8.7946055086410069026e-1653j)  +/-  (1.78e-53, 7.32e-265j)
| (0.00096346453557056735394 - 9.786211428918802797e-1653j)  +/-  (1.65e-53, 6.78e-265j)
| (2.8100053049308250473e-06 - 2.7453029362132570974e-1655j)  +/-  (2.59e-55, 1.06e-266j)
| (0.0010615737775469043593 + 2.7964655157848603416e-1651j)  +/-  (4.09e-55, 1.68e-266j)
| (0.00096346453557056735394 - 2.8512960573954687761e-1651j)  +/-  (4.05e-55, 1.66e-266j)
| (0.00022502931562079285217 - 6.4285057567521377682e-1651j)  +/-  (4.13e-56, 1.69e-267j)
| (0.0012690371293103032321 + 1.3064032187330755102e-1652j)  +/-  (2.64e-55, 1.08e-266j)
| (0.00077932872302695228244 - 7.854211275462381657e-1653j)  +/-  (5.03e-55, 2.07e-266j)
| (0.00069361674540660000257 + 3.0823487861563488525e-1651j)  +/-  (1.97e-56, 8.09e-268j)
| (0.0016056412858894703876 - 2.5982890494205096916e-1651j)  +/-  (3.85e-57, 1.58e-268j)
| (0.0005356365846627349513 + 5.3441377382954908409e-1653j)  +/-  (9.68e-57, 3.97e-268j)
| (0.0010615737775469043593 + 1.0828612913013116585e-1652j)  +/-  (2.79e-55, 1.15e-266j)
| (0.0016056412858894703876 - 1.6786515661887375794e-1652j)  +/-  (2.7e-57, 1.11e-268j)
| (0.00033424019114480634351 - 3.3078749415393086069e-1653j)  +/-  (2.49e-58, 1.02e-269j)
| (0.0017238572597464686038 + 2.5673682889601102894e-1651j)  +/-  (1.07e-58, 4.4e-270j)
| (0.0013780367914409925 - 2.6667917039411511219e-1651j)  +/-  (1.36e-58, 5.59e-270j)
| (0.00039646792366286489674 + 3.8236767108235777969e-1651j)  +/-  (3e-60, 1.23e-271j)
| (0.0024819556344052659575 + 2.7119702478307336495e-1652j)  +/-  (4.18e-61, 1.72e-272j)
| (0.0011634893491416418027 - 1.1921372619194336705e-1652j)  +/-  (5.9e-57, 2.42e-268j)
| (0.0012690371293103032321 + 2.705550339711137609e-1651j)  +/-  (5.92e-59, 2.43e-270j)
| (0.0026144232164617293049 - 2.3824808302415137741e-1651j)  +/-  (2.18e-62, 8.95e-274j)
| (4.4864133543676402623e-05 + 4.3901765431351894812e-1654j)  +/-  (8.13e-62, 3.34e-273j)
| (0.001968107155746810995 + 2.0939625158166513674e-1652j)  +/-  (1.03e-60, 4.21e-272j)
| (0.0020937237810400333931 - 2.2417030674759741315e-1652j)  +/-  (4.42e-61, 1.82e-272j)
| (1.1235220372796546647e-05 + 1.0980057326983966449e-1654j)  +/-  (1.44e-61, 5.93e-273j)
| (0.0027480441109186385061 + 2.3583501021710869144e-1651j)  +/-  (1.42e-63, 5.84e-275j)
| (0.0020937237810400333931 - 2.4832256016418527627e-1651j)  +/-  (7.92e-63, 3.25e-274j)
| (0.0014903021114393852806 + 1.5497113645892148878e-1652j)  +/-  (8.7e-60, 3.57e-271j)
| (0.0038309032575024141255 + 4.5514434830580275592e-1652j)  +/-  (1.72e-66, 7.07e-278j)
| (2.8100053049308250473e-06 + 5.3363995932122489664e-1653j)  +/-  (8.02e-68, 3.29e-279j)
| (0.001968107155746810995 + 2.5101290646640441016e-1651j)  +/-  (1.13e-62, 4.65e-274j)
| (0.0031535362689183775923 - 2.2870871389370903357e-1651j)  +/-  (5.38e-66, 2.21e-277j)
| (7.0010377212649724863e-05 - 6.8574878484110726574e-1654j)  +/-  (4.51e-63, 1.85e-274j)
| (0.0030178311004199594586 + 3.3996025936141683684e-1652j)  +/-  (4.49e-66, 1.84e-277j)
| (0.002350867683391100957 - 2.5507715482944295328e-1652j)  +/-  (1.57e-63, 6.43e-275j)
| (0.00017823275756370171375 + 1.0855602897941430046e-1650j)  +/-  (2.43e-66, 9.98e-278j)
| (0.0039645241519593233267 - 2.1453241976976099399e-1651j)  +/-  (3.63e-69, 1.49e-280j)
| (0.002350867683391100957 - 2.4317815651405855874e-1651j)  +/-  (1.21e-64, 4.97e-276j)
| (0.0017238572597464686038 + 1.8123778259845754113e-1652j)  +/-  (1.99e-62, 8.15e-274j)
| (0.0042280796850299516746 - 5.1768935532050245763e-1652j)  +/-  (5.27e-70, 2.16e-281j)
| (0.00010065701993641310284 + 9.8709767745540472294e-1654j)  +/-  (1.73e-64, 7.09e-276j)
| (0.0024819556344052659575 + 2.4069253145397777937e-1651j)  +/-  (6.68e-65, 2.74e-276j)
| (0.003561116268001093173 + 2.2163928510662453253e-1651j)  +/-  (4.52e-69, 1.85e-280j)
| (7.0010377212649724863e-05 + 2.6613689417245381579e-1651j)  +/-  (8.22e-69, 3.37e-280j)
| (0.0034254110995026750393 - 3.9582739238416721268e-1652j)  +/-  (6.9e-69, 2.83e-280j)
| (0.0026144232164617293049 - 2.8775227175358169349e-1652j)  +/-  (5.84e-66, 2.4e-277j)
| (0.00086932924120680386587 + 2.9150011772385023649e-1651j)  +/-  (6.21e-67, 2.55e-278j)
| (0.0048550901086745840277 + 1.9754392940196503499e-1651j)  +/-  (2.17e-74, 8.92e-286j)
| (0.0018447480630020711663 - 2.5380896615479126955e-1651j)  +/-  (2.44e-65, 1e-276j)
| (0.0027480441109186385061 + 3.0473598152898157546e-1652j)  +/-  (1.72e-67, 7.04e-279j)
| (0.0043575640434364588402 + 5.392150322732530008e-1652j)  +/-  (7.85e-73, 3.22e-284j)
| (0.00033424019114480634351 - 4.2497814273774365772e-1651j)  +/-  (6.58e-69, 2.7e-280j)
| (0.0036963573397018013685 - 2.1927782772127412239e-1651j)  +/-  (2.93e-71, 1.2e-282j)
| (0.0040969917340157866741 + 2.1214489116928147852e-1651j)  +/-  (8.82e-73, 3.62e-284j)
| (0.00010065701993641310284 - 7.0668342026231059873e-1651j)  +/-  (1.96e-69, 8.05e-281j)
| (0.0046108402126742416366 + 5.832291664283804376e-1652j)  +/-  (7.42e-76, 3.05e-287j)
| (0.0028825900287192512631 - 3.221410645703398103e-1652j)  +/-  (9.52e-70, 3.91e-281j)
| (0.0022213833249845937914 + 2.4571674924845089911e-1651j)  +/-  (1.62e-67, 6.67e-279j)
| (0.0054154580192794108289 - 1.8497039028502843485e-1651j)  +/-  (1.63e-79, 6.71e-291j)
| (0.0006123397458217270819 - 3.1969198074077401552e-1651j)  +/-  (1.63e-69, 6.71e-281j)
| (0.0031535362689183775923 - 3.5818613585229434427e-1652j)  +/-  (1.09e-71, 4.48e-283j)
| (0.0047341993054189814653 - 6.0569944438374110125e-1652j)  +/-  (4.12e-77, 1.69e-288j)
| (4.4864133543676402623e-05 - 1.2399379291898013599e-1651j)  +/-  (1.58e-70, 6.5e-282j)
| (0.0044852235873810192384 - 2.0490792029581680839e-1651j)  +/-  (1.12e-76, 4.62e-288j)
| (0.0043575640434364588402 + 2.0733357846473240512e-1651j)  +/-  (4.53e-76, 1.86e-287j)
| (0.00069361674540660000257 + 6.9654234444455008402e-1653j)  +/-  (5.7e-74, 2.34e-285j)
| (0.0053099102391107493995 + 7.2230917322274987445e-1652j)  +/-  (1.75e-82, 7.17e-294j)
| (0.0018447480630020711663 - 1.9508341331940316099e-1652j)  +/-  (7.49e-72, 3.08e-283j)
| (0.0005356365846627349513 + 3.3446861004910298604e-1651j)  +/-  (1.21e-71, 4.98e-283j)
| (0.0056154828328504852776 - 1.7983909327808111482e-1651j)  +/-  (2.23e-83, 9.17e-295j)
| (0.0011634893491416418027 - 2.7483952911417186564e-1651j)  +/-  (9.08e-71, 3.73e-282j)
| (0.0040969917340157866741 + 4.964965203080429885e-1652j)  +/-  (2.96e-77, 1.21e-288j)
| (0.0048550901086745840277 + 6.2846621506772803188e-1652j)  +/-  (4.37e-80, 1.79e-291j)
| (0.00013675170243995822294 - 1.3429376542430498753e-1653j)  +/-  (8.69e-77, 3.57e-288j)
| (0.0053099102391107493995 + 1.8751480459119963991e-1651j)  +/-  (3.96e-82, 1.62e-293j)
| (0.0038309032575024141255 + 2.1690952701200858798e-1651j)  +/-  (2.58e-76, 1.06e-287j)
| (1.1235220372796546647e-05 - 2.2761346572314776653e-1652j)  +/-  (6.4e-74, 2.63e-285j)
| (0.0059666076225993255497 - 8.9571920971425195214e-1652j)  +/-  (1.08e-87, 4.43e-299j)
| (0.0013780367914409925 - 1.4256112448746501743e-1652j)  +/-  (4.81e-74, 1.97e-285j)
| (0.0042280796850299516746 - 2.0974562785276183443e-1651j)  +/-  (1.37e-77, 5.64e-289j)
| (0.0057996186453941003491 - 1.7465423117599454906e-1651j)  +/-  (1.09e-85, 4.48e-297j)
| (0.00017823275756370171375 + 1.7531191402805144072e-1653j)  +/-  (5.34e-78, 2.19e-289j)
| (0.004973306082531582244 - 6.5152010346027525109e-1652j)  +/-  (8.29e-84, 3.4e-295j)
| (0.0039645241519593233267 - 4.7564530361218329427e-1652j)  +/-  (5.55e-80, 2.28e-291j)
| (0.00022502931562079285217 - 2.2174697312332070127e-1653j)  +/-  (2.09e-78, 8.58e-290j)
| (0.0059666076225993255497 - 1.6942026941174516652e-1651j)  +/-  (7.18e-89, 2.95e-300j)
| (0.0046108402126742416366 + 2.0246803096022074165e-1651j)  +/-  (2.87e-82, 1.18e-293j)
| (2.5261250864983346233e-05 + 5.7583905441138918506e-1652j)  +/-  (1.01e-76, 4.15e-288j)
| (0.0061153090604272538878 - 9.4702113333645096318e-1652j)  +/-  (1.02e-92, 4.2e-304j)
| (0.0030178311004199594586 + 2.3107161603623192503e-1651j)  +/-  (5.1e-80, 2.1e-291j)
| (0.0047341993054189814653 - 2.0001346424101079144e-1651j)  +/-  (4.01e-83, 1.65e-294j)
| (0.005885330623014452629 + 1.7204307722520842453e-1651j)  +/-  (5.5e-89, 2.26e-300j)
| (0.00027706142547678473711 + 4.9695955596578580946e-1651j)  +/-  (4.12e-77, 1.69e-288j)
| (0.0056154828328504852776 - 7.9533525947472413403e-1652j)  +/-  (9.82e-92, 4.03e-303j)
| (0.0055173735908741482722 + 7.7076108805076536068e-1652j)  +/-  (2.73e-91, 1.12e-302j)
| (0.00077932872302695228244 - 2.9905682390976856111e-1651j)  +/-  (2.28e-78, 9.38e-290j)
| (0.0062447071772762462881 - 1.5882658256189295076e-1651j)  +/-  (7.96e-95, 3.27e-306j)
| (0.0032894736842105263158 + 2.2635161225310063806e-1651j)  +/-  (6.13e-82, 2.51e-293j)
| (0.0044852235873810192384 - 5.6106464587866630958e-1652j)  +/-  (5.5e-87, 2.26e-298j)
| (0.0061824794447581877348 + 9.7291364048789080568e-1652j)  +/-  (1.24e-95, 5.09e-307j)
| (0.0054154580192794108289 - 7.4641574921349780467e-1652j)  +/-  (4.46e-91, 1.83e-302j)
| (0.0055173735908741482722 + 1.8241168250080656666e-1651j)  +/-  (1.31e-89, 5.39e-301j)
| (0.0052009105769800601316 - 1.9004458399571706956e-1651j)  +/-  (9.04e-89, 3.71e-300j)
| (0.00046363830799379874374 - 3.5430895154268476724e-1651j)  +/-  (2.87e-80, 1.18e-291j)
| (0.0060433107837583176803 + 9.2128621636619176484e-1652j)  +/-  (4.35e-95, 1.79e-306j)
| (0.005088645256981667351 + 6.7485162909920493861e-1652j)  +/-  (5.96e-91, 2.45e-302j)
| (0.0034254110995026750393 - 2.2399626681480578115e-1651j)  +/-  (1.26e-84, 5.16e-296j)
| (0.0063018859429442678945 + 1.5615637448480036686e-1651j)  +/-  (6.64e-98, 2.73e-309j)
| (0.00027706142547678473711 + 2.735794271308321515e-1653j)  +/-  (3.49e-91, 1.43e-302j)
| (0.0052009105769800601316 - 6.9845121108934053827e-1652j)  +/-  (1.65e-91, 6.76e-303j)
| (0.0062447071772762462881 - 9.9895338741846251061e-1652j)  +/-  (5.06e-98, 2.08e-309j)
| (0.005088645256981667351 + 1.9255946549825377494e-1651j)  +/-  (3.28e-90, 1.35e-301j)
| (0.0057096181272142487657 + 1.7725309837837009485e-1651j)  +/-  (1.17e-92, 4.78e-304j)
| (0.0060433107837583176803 + 1.6678648361073897498e-1651j)  +/-  (6.18e-96, 2.54e-307j)
| (0.00039646792366286489674 + 3.93347135837878928e-1653j)  +/-  (3.39e-93, 1.39e-304j)
| (0.0063018859429442678945 + 1.0251300003640408938e-1651j)  +/-  (2.68e-100, 1.1e-311j)
| (0.005885330623014452629 + 8.7033039654918390474e-1652j)  +/-  (1.69e-97, 6.92e-309j)
| (0.003561116268001093173 + 4.1522710196349427549e-1652j)  +/-  (3.57e-94, 1.47e-305j)
| (0.0063539180528002597794 - 1.5347908849389917306e-1651j)  +/-  (3.12e-101, 1.28e-312j)
| (0.0028825900287192512631 - 2.3344513551797196401e-1651j)  +/-  (1.3e-89, 5.34e-301j)
| (2.5261250864983346233e-05 - 2.4700800955616269278e-1654j)  +/-  (6.61e-94, 2.71e-305j)
| (0.0063539180528002597794 - 1.0514330893150736568e-1651j)  +/-  (7.22e-102, 2.96e-313j)
| (0.00046363830799379874374 - 4.6123206825737663778e-1653j)  +/-  (1.16e-93, 4.78e-305j)
| (0.0061153090604272538878 - 1.6414243478453752163e-1651j)  +/-  (8.23e-99, 3.38e-310j)
| (0.0061824794447581877348 + 1.614888734636093986e-1651j)  +/-  (1.57e-99, 6.45e-311j)
| (0.0022213833249845937914 + 2.3939939752225792495e-1652j)  +/-  (2.44e-94, 1e-305j)
| (0.0064007146108573509178 + 1.0778522553635288925e-1651j)  +/-  (8.02e-104, 3.29e-315j)
| (0.0032894736842105263158 + 3.7681109899686975627e-1652j)  +/-  (1.88e-95, 7.74e-307j)
| (0.0014903021114393852806 + 2.6312584140594335824e-1651j)  +/-  (1.1e-92, 4.5e-304j)
| (0.0064421956659810944086 - 1.4810675983832977288e-1651j)  +/-  (1.2e-104, 4.94e-316j)
| (0.0065677121480482560849 + 1.3461501408341055708e-1651j)  +/-  (1.42e-107, 5.83e-319j)
| (0.0065677121480482560849 + 1.2382233843636123683e-1651j)  +/-  (3.88e-108, 1.6e-319j)
| (0.0057096181272142487657 + 8.2012825958014728747e-1652j)  +/-  (1.35e-101, 5.53e-313j)
| (0.006534083234877376229 + 1.400174561818262894e-1651j)  +/-  (3.25e-107, 1.33e-318j)
| (0.0064007146108573509178 + 1.5079558829721997225e-1651j)  +/-  (1.78e-104, 7.3e-316j)
| (0.004973306082531582244 - 1.9505927339526571103e-1651j)  +/-  (1.91e-99, 7.83e-311j)
| (0.0064421956659810944086 - 1.1043770982986762386e-1651j)  +/-  (6e-107, 2.46e-318j)
| (0.0064782903484846395287 + 1.1309972244725501839e-1651j)  +/-  (7.59e-108, 3.12e-319j)
| (0.0065761373631161218065 - 1.3191382774986955978e-1651j)  +/-  (3.46e-109, 1.42e-320j)
| (0.0065536861175560692853 - 1.2113256379855977396e-1651j)  +/-  (2.07e-109, 8.5e-321j)
| (0.0064782903484846395287 + 1.4541350926088409406e-1651j)  +/-  (5.24e-108, 2.15e-319j)
| (0.0036963573397018013685 - 4.350021598635638472e-1652j)  +/-  (3.12e-105, 1.28e-316j)
| (0.0057996186453941003491 - 8.4513001655339932455e-1652j)  +/-  (2.21e-106, 9.07e-318j)
| (0.0006123397458217270819 - 6.128615142494036292e-1653j)  +/-  (9.63e-106, 3.95e-317j)
| (0.0065761373631161218065 - 1.2651648415688320376e-1651j)  +/-  (5.08e-110, 2.09e-321j)
| (0.0065089369912084029067 - 1.4271676102842683633e-1651j)  +/-  (2.67e-109, 1.1e-320j)
| (0.0065536861175560692853 - 1.3731655071898636018e-1651j)  +/-  (7.64e-110, 3.14e-321j)
| (0.0065789473684210526316 + 1.2921398389687077172e-1651j)  +/-  (1.92e-110, 7.89e-322j)
| (0.006534083234877376229 + 1.1844818340296090888e-1651j)  +/-  (2.11e-111, 8.68e-323j)
| (0.0065089369912084029067 - 1.1577022549585537375e-1651j)  +/-  (2.08e-111, 8.54e-323j)
