Starting with polynomial:
P : t
Extension levels are: 1 4 6 30 40 80
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : t^5 - 5/4*t^3 + 5/16*t
Solvable: 1
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P3 : t^11 - 3*t^9 + 53/16*t^7 - 13/8*t^5 + 85/256*t^3 - 5/256*t
Solvable: 1
-------------------------------------------------
Trying to find an order 40 Kronrod extension for:
P4 : t^41 - 21/2*t^39 + 409/8*t^37 - 2451/16*t^35 + 10115/32*t^33 - 30481/64*t^31 + 138787/256*t^29 - 243629/512*t^27 + 21352149/65536*t^25 - 22931025/131072*t^23 + 38629305/524288*t^21 - 25398555/1048576*t^19 + 25820145/4194304*t^17 - 9992005/8388608*t^15 + 5757475/33554432*t^13 - 1196069/67108864*t^11 + 5475173/4294967296*t^9 - 503481/8589934592*t^7 + 53333/34359738368*t^5 - 1335/68719476736*t^3 + 5/68719476736*t
Solvable: 1
-------------------------------------------------
Trying to find an order 80 Kronrod extension for:
P5 : t^81 - 41/2*t^79 + 1619/8*t^77 - 20501/16*t^75 + 748325/128*t^73 - 5242641/256*t^71 + 58666377/1024*t^69 - 269253939/2048*t^67 + 2066445557/8192*t^65 - 6724376945/16384*t^63 + 37510410223/65536*t^61 - 90412119473/131072*t^59 + 758074648799/1048576*t^57 - 1388647909691/2097152*t^55 + 4462127961615/8388608*t^53 - 6304519296045/16777216*t^51 + 1004471202260565/4294967296*t^49 - 1102606665411405/8589934592*t^47 + 2135390661379815/34359738368*t^45 - 1823451793911825/68719476736*t^43 + 5486885897842965/549755813888*t^41 - 3630225306480465/1099511627776*t^39 + 4214986347647985/4398046511104*t^37 - 2140586247441915/8796093022208*t^35 + 3789443170401525/70368744177664*t^33 - 1454693706607869/140737488355328*t^31 + 963279451051883/562949953421312*t^29 - 273214376948261/1125899906842624*t^27 + 263374723516751/9007199254740992*t^25 - 53406232536475/18014398509481984*t^23 + 18010091821799/72057594037927936*t^21 - 2489098783589/144115188075855872*t^19 + 17729302242597/18446744073709551616*t^17 - 1554115724493/36893488147419103232*t^15 + 208607759535/147573952589676412928*t^13 - 10327828537/295147905179352825856*t^11 + 1433973073/2361183241434822606848*t^9 - 32436781/4722366482869645213696*t^7 + 853333/18889465931478580854784*t^5 - 5335/37778931862957161709568*t^3 + 5/37778931862957161709568*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^161 - 81/2*t^159 + 6439/8*t^157 - 167401/16*t^155 + 12806255/128*t^153 - 192128475/256*t^151 + 4709277015/1024*t^149 - 48478482805/2048*t^147 + 3422251230685/32768*t^145 - 26288099475925/65536*t^143 + 355843116267639/262144*t^141 - 2142708152262769/524288*t^139 + 46281794982445477/4194304*t^137 - 225603189738697553/8388608*t^135 + 1996499276837967465/33554432*t^133 - 8056969431650256051/67108864*t^131 + 119096809058262192729/536870912*t^129 - 404437194701562179793/1073741824*t^127 + 2531807846747674058319/4294967296*t^125 - 7323622721576115152625/8589934592*t^123 + 78492669628068769701675/68719476736*t^121 - 195208108651199323349175/137438953472*t^119 + 902799438356571894774075/549755813888*t^117 - 1944119493147736451257425/1099511627776*t^115 + 31232137474628978778408375/17592186044416*t^113 - 58554546017461977562494415/35184372088832*t^111 + 205193854851678483303194605/140737488355328*t^109 - 336306619031482510347745435/281474976710656*t^107 + 2063903085864023322293740035/2251799813685248*t^105 - 2966052652604670030919377575/4503599627370496*t^103 + 7989467781858758352261939175/18014398509481984*t^101 - 10088440227215774559291164525/36028797018963968*t^99 + 3058450922593637565324812483925/18446744073709551616*t^97 - 3397527831163171031651709632325/36893488147419103232*t^95 + 7081597081556792206486113683875/147573952589676412928*t^93 - 6924048911454637546804027477901/295147905179352825856*t^91 + 25404814424791327688867058012659/2361183241434822606848*t^89 - 21858384449082619276864288806543/4722366482869645213696*t^87 + 35274309386964915399767248392779/18889465931478580854784*t^85 - 26683508892182962986676117846385/37778931862957161709568*t^83 + 151328182249521885611268510339437/604462909807314587353088*t^81 - 100484756071401773790789561432837/1208925819614629174706176*t^79 + 124927126687683927920148206517783/4835703278458516698824704*t^77 - 72651222352834000361680587588657/9671406556917033397649408*t^75 + 157987019489711717517852023664525/77371252455336267181195264*t^73 - 80223679513315995657289440206265/154742504910672534362390528*t^71 + 76026053160252160729821319495905/618970019642690137449562112*t^69 - 33579970528794511770009796835835/1237940039285380274899124224*t^67 + 110475490088815037403272648946045/19807040628566084398385987584*t^65 - 42245102387634092476058629997325/39614081257132168796771975168*t^63 + 29999365402708598602296323003427/158456325028528675187087900672*t^61 - 9874898316955742515076531619837/316912650057057350374175801344*t^59 + 12033215105408721725473313898231/2535301200456458802993406410752*t^57 - 3386265948098457463936032229779/5070602400912917605986812821504*t^55 + 1756887805768709318039626918935/20282409603651670423947251286016*t^53 - 419186604295786284641203245765/40564819207303340847894502572032*t^51 + 734095119443767883989295652615/649037107316853453566312041152512*t^49 - 147032625055264717707486432255/1298074214633706907132624082305024*t^47 + 53728827786514416141177496365/5192296858534827628530496329220096*t^45 - 8925556477561474265545182075/10384593717069655257060992658440192*t^43 + 5372765906987562300190478043/83076749736557242056487941267521536*t^41 - 729479117051855607860351103/166153499473114484112975882535043072*t^39 + 177913712417927350359355887/664613997892457936451903530140172288*t^37 - 19388199704953125203757093/1329227995784915872903807060280344576*t^35 + 240314141072589391861970085/340282366920938463463374607431768211456*t^33 - 20546715126111124428769269/680564733841876926926749214863536422912*t^31 + 3079779814215851981266563/2722258935367507707706996859454145691648*t^29 - 200656880843174467399821/5444517870735015415413993718908291383296*t^27 + 45028816093825229950011/43556142965880123323311949751266331066368*t^25 - 2151232752627229029975/87112285931760246646623899502532662132736*t^23 + 172768064274430960995/348449143727040986586495598010130648530944*t^21 - 5741171266700702745/696898287454081973172991196020261297061888*t^19 + 1239474295500810345/11150372599265311570767859136324180752990208*t^17 - 26539968981178305/22300745198530623141535718272648361505980416*t^15 + 875700550388475/89202980794122492566142873090593446023921664*t^13 - 10713617118477/178405961588244985132285746181186892047843328*t^11 + 369174764673/1427247692705959881058285969449495136382746624*t^9 - 2079369981/2854495385411919762116571938898990272765493248*t^7 + 13653333/11417981541647679048466287755595961091061972992*t^5 - 21335/22835963083295358096932575511191922182123945984*t^3 + 5/22835963083295358096932575511191922182123945984*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
-------------------------------------------------
The nodes are:
| (-0.99826561018471589329 - 5.2508341976381329385e-1576j)  +/-  (2.1e-449, 2.1e-449j)
| (-0.94480604646687801758 + 3.3187690792816530962e-1603j)  +/-  (5.57e-452, 5.57e-452j)
| (-0.92387953251128675613 - 1.5807783731545645875e-1605j)  +/-  (4.89e-453, 4.89e-453j)
| (0.99980724048206485639 - 4.881711553032449657e-1604j)  +/-  (2.67e-449, 2.67e-449j)
| (0.92387953251128675613 - 5.2059297326569114009e-1607j)  +/-  (4.91e-453, 4.91e-453j)
| (0.94480604646687801758 - 3.3430137059781241951e-1606j)  +/-  (5.33e-452, 5.33e-452j)
| (-0.99922903624072293474 - 1.3684517031566486404e-1599j)  +/-  (2.38e-449, 2.38e-449j)
| (-0.91618795711713591084 - 1.5981384923431371552e-1620j)  +/-  (2e-453, 2e-453j)
| (-0.95105651629515357212 + 8.7704421386770533216e-1618j)  +/-  (1.11e-451, 1.11e-451j)
| (0.95105651629515357212 - 6.2375105318076978362e-1619j)  +/-  (1.08e-451, 1.08e-451j)
| (0.87249600707279711453 - 2.7931220178738763772e-1623j)  +/-  (1.18e-455, 1.18e-455j)
| (0.89974828405222145968 - 1.7226263466634069441e-1621j)  +/-  (3.14e-454, 3.14e-454j)
| (-0.89974828405222145968 + 7.9329929691022871129e-1620j)  +/-  (3.03e-454, 3.03e-454j)
| (-0.87249600707279711453 - 4.1860067271544600289e-1622j)  +/-  (1.16e-455, 1.16e-455j)
| (-0.984426568089891643 + 1.5806270606740948437e-1613j)  +/-  (4.59e-450, 4.59e-450j)
| (0.86273438597779181929 + 6.1408222449886983918e-1625j)  +/-  (3.51e-456, 3.51e-456j)
| (0.90814317382508129926 - 2.2832989173650842982e-1622j)  +/-  (7.72e-454, 7.72e-454j)
| (-0.95694033573220886494 + 4.6503141651602066757e-1621j)  +/-  (2.15e-451, 2.15e-451j)
| (-0.77301045336273696081 - 1.764738418277551113e-1631j)  +/-  (5.01e-461, 5.01e-461j)
| (-0.93819133592248413445 + 9.5910705124593791074e-1622j)  +/-  (2.53e-452, 2.53e-452j)
| (0.93819133592248413445 - 1.8539831511461135627e-1620j)  +/-  (2.5e-452, 2.5e-452j)
| (0.78531693088074492747 - 1.1372576806499236876e-1629j)  +/-  (2.27e-460, 2.27e-460j)
| (-0.97236992039767660183 + 7.2542484919569751518e-1618j)  +/-  (1.17e-450, 1.17e-450j)
| (-0.84221723371628655087 + 2.3170874810127417222e-1626j)  +/-  (3.09e-457, 3.09e-457j)
| (-0.83146961230254523708 - 2.1139639250028927762e-1629j)  +/-  (7.6e-458, 7.6e-458j)
| (0.984426568089891643 + 1.4543875369013891539e-1617j)  +/-  (4.7e-450, 4.7e-450j)
| (0.77301045336273696081 - 2.1808678830427303856e-1631j)  +/-  (4.99e-461, 4.99e-461j)
| (0.93121493475880355847 - 8.3205014173361173047e-1621j)  +/-  (1.13e-452, 1.13e-452j)
| (-0.88192126434835502971 + 4.8028335766436181527e-1625j)  +/-  (3.57e-455, 3.57e-455j)
| (-0.64944804833018365573 - 4.225235251992780454e-1638j)  +/-  (4.54e-468, 4.54e-468j)
| (-0.90814317382508129926 + 3.8983063972593567912e-1623j)  +/-  (8.15e-454, 8.15e-454j)
| (0.88192126434835502971 - 2.3772148135081444967e-1625j)  +/-  (3.48e-455, 3.48e-455j)
| (0.73432250943568553564 + 1.5081760975977047818e-1632j)  +/-  (3.75e-463, 3.75e-463j)
| (0.99518472667219688624 - 8.7389277150736561116e-1617j)  +/-  (1.49e-449, 1.49e-449j)
| (-0.74750832686259677682 + 7.1011617895221719743e-1632j)  +/-  (1.93e-462, 1.93e-462j)
| (-0.8090169943749474241 - 8.8741785362036158013e-1629j)  +/-  (5e-459, 5e-459j)
| (-0.97676588132087243254 + 1.7306168114494592925e-1617j)  +/-  (1.97e-450, 1.97e-450j)
| (0.63439328416364549822 + 3.4450091121248646819e-1639j)  +/-  (6.27e-469, 6.27e-469j)
| (0.89100652418836786236 + 4.2427681023366912283e-1625j)  +/-  (1.12e-454, 1.12e-454j)
| (-0.82040144352551360454 - 1.8941067341366107775e-1627j)  +/-  (2.04e-458, 2.04e-458j)
| (-0.60355594195357142 - 8.0314785551223437505e-1642j)  +/-  (9.62e-471, 9.62e-471j)
| (-0.99306845695492629564 - 1.572589415173765111e-1616j)  +/-  (1.24e-449, 1.24e-449j)
| (0.74750832686259677682 + 2.224338519212249772e-1643j)  +/-  (1.97e-462, 1.97e-462j)
| (0.7071067811865475244 - 5.0843311945689017345e-1647j)  +/-  (1.19e-464, 1.19e-464j)
| (-0.99056934044357724802 - 2.2557563603320305565e-1627j)  +/-  (9.06e-450, 9.06e-450j)
| (-0.66425243791128172114 + 1.0594168125560156772e-1680j)  +/-  (3.1e-467, 3.1e-467j)
| (-0.76040596560003093817 - 4.9064951147329020585e-1675j)  +/-  (1.03e-461, 1.03e-461j)
| (0.91618795711713591084 + 2.4521518216169648014e-1666j)  +/-  (1.99e-453, 1.99e-453j)
| (0.50565737337798459744 - 3.6111739833717847537e-1690j)  +/-  (1.28e-476, 1.28e-476j)
| (0.96759909236025979091 + 3.2493297732545010452e-1662j)  +/-  (6.99e-451, 6.99e-451j)
| (-0.79732065377270713636 + 5.4730900466080382197e-1673j)  +/-  (1.18e-459, 1.18e-459j)
| (-0.57178796022761227056 + 3.5798090187223329292e-1688j)  +/-  (1.12e-472, 1.12e-472j)
| (-0.99518472667219688624 - 2.2362118123404014407e-1660j)  +/-  (1.52e-449, 1.52e-449j)
| (0.66425243791128172114 - 6.6563593913629258431e-1703j)  +/-  (3.26e-467, 3.26e-467j)
| (0.61909394930983398694 + 1.5500409234883528319e-1707j)  +/-  (7.28e-470, 7.28e-470j)
| (1 - 1.4434084002250067182e-1681j)  +/-  (2.33e-449, 2.33e-449j)
| (-0.52249856471594886499 - 4.1464292811471535908e-1716j)  +/-  (1.24e-475, 1.24e-475j)
| (-0.78531693088074492747 - 6.144259513147647782e-1701j)  +/-  (2.35e-460, 2.35e-460j)
| (0.82040144352551360454 + 1.1733695922666782075e-1699j)  +/-  (2.06e-458, 2.06e-458j)
| (0.41865973753742808668 + 1.0479784161442178163e-1723j)  +/-  (2.93e-482, 2.93e-482j)
| (0.67880074553294174139 - 1.5435765848715534905e-1707j)  +/-  (2.08e-466, 2.08e-466j)
| (-0.69308736254563586978 + 7.522421116714236147e-1706j)  +/-  (1.34e-465, 1.34e-465j)
| (-0.53913832291100023106 + 3.9978490237002627971e-1715j)  +/-  (1.27e-474, 1.27e-474j)
| (-1 + 2.1280675761417812674e-1686j)  +/-  (2.32e-449, 2.32e-449j)
| (0.57178796022761227056 + 1.3430773550246591803e-1733j)  +/-  (1.18e-472, 1.18e-472j)
| (0.58778525229247312917 - 1.140630316680024381e-1733j)  +/-  (1.03e-471, 1.03e-471j)
| (0.99826561018471589329 - 5.7509986707291822073e-1708j)  +/-  (2.11e-449, 2.11e-449j)
| (-0.41865973753742808668 + 4.4652139147214913191e-1744j)  +/-  (2.97e-482, 2.97e-482j)
| (-0.73432250943568553564 + 1.3438493032718100369e-1724j)  +/-  (3.79e-463, 3.79e-463j)
| (0.72085359670291879907 - 5.0694630275554591749e-1726j)  +/-  (6.73e-464, 6.73e-464j)
| (0.40074883310314096198 - 3.9342533707227607917e-1746j)  +/-  (2.45e-483, 2.45e-483j)
| (-0.98078528040323044913 + 8.8824981028044185222e-1710j)  +/-  (3.14e-450, 3.14e-450j)
| (-0.55557023301960222474 - 1.973612675284115473e-1739j)  +/-  (1.23e-473, 1.23e-473j)
| (-0.50565737337798459744 + 5.71305374951451475e-1742j)  +/-  (1.24e-476, 1.24e-476j)
| (0.99922903624072293474 - 2.428939977679280051e-1716j)  +/-  (2.44e-449, 2.44e-449j)
| (0.45399049973954679156 + 1.1958421245144655344e-1745j)  +/-  (5.06e-480, 5.06e-480j)
| (0.8090169943749474241 + 9.4333564827593041527e-1725j)  +/-  (4.95e-459, 4.95e-459j)
| (-0.63439328416364549822 + 8.6185823190172064277e-1735j)  +/-  (6.35e-469, 6.35e-469j)
| (-0.3090169943749474241 - 4.9703018145220747374e-1755j)  +/-  (1.94e-489, 1.94e-489j)
| (-0.98768834059513772619 - 1.2950444841881344493e-1713j)  +/-  (6.71e-450, 6.71e-450j)
| (0.69308736254563586978 + 1.0731369922515542896e-1746j)  +/-  (1.34e-465, 1.34e-465j)
| (0.3644704998791496598 + 1.3669652979251487894e-1769j)  +/-  (1.11e-485, 1.11e-485j)
| (-0.99980724048206485639 - 1.0842986754484034908e-1726j)  +/-  (2.51e-449, 2.51e-449j)
| (-0.45399049973954679156 - 1.4114212847919676629e-1781j)  +/-  (5.1e-480, 5.1e-480j)
| (-0.61909394930983398694 - 5.1022825380093476324e-1772j)  +/-  (7.39e-470, 7.39e-470j)
| (0.9969173337331279762 - 3.9062919829591375536e-1748j)  +/-  (1.91e-449, 1.91e-449j)
| (0.32763017956169351687 - 1.4669445562297426212e-1790j)  +/-  (3.61e-488, 3.61e-488j)
| (0.64944804833018365573 - 7.8713017006419089759e-1770j)  +/-  (4.56e-468, 4.56e-468j)
| (0.97676588132087243254 - 2.0208574458033024015e-1750j)  +/-  (2.06e-450, 2.06e-450j)
| (-0.25249157701515795859 + 7.7339601445602219612e-1796j)  +/-  (4.41e-493, 4.41e-493j)
| (0.99056934044357724802 + 1.7323042988440388082e-1749j)  +/-  (8.97e-450, 8.97e-450j)
| (0.53913832291100023106 - 2.7122865348643303727e-1780j)  +/-  (1.3e-474, 1.3e-474j)
| (0.34611705707749297647 + 2.6729731732833873417e-1791j)  +/-  (5.31e-487, 5.31e-487j)
| (-0.9969173337331279762 + 6.7646065021731199447e-1751j)  +/-  (1.83e-449, 1.83e-449j)
| (-0.32763017956169351687 - 6.1424787483053485138e-1806j)  +/-  (3.46e-488, 3.46e-488j)
| (-0.47139673682599764856 - 1.8588636054717977319e-1797j)  +/-  (5.99e-479, 5.99e-479j)
| (-0.96245523645364728763 - 2.8180140483509302747e-1766j)  +/-  (3.97e-451, 3.97e-451j)
| (0.25249157701515795859 + 8.9395455335898584678e-1811j)  +/-  (4.35e-493, 4.35e-493j)
| (0.83146961230254523708 + 2.9455602322272778619e-1775j)  +/-  (7.51e-458, 7.51e-458j)
| (-0.29028467725446236764 - 1.3455726758800418129e-1808j)  +/-  (1.13e-490, 1.13e-490j)
| (-0.34611705707749297647 - 6.5840355911343952607e-1806j)  +/-  (5.68e-487, 5.68e-487j)
| (0.95694033573220886494 - 1.9828603385349761806e-1768j)  +/-  (2.17e-451, 2.17e-451j)
| (0.76040596560003093817 - 1.2960516172598520103e-1780j)  +/-  (1.07e-461, 1.07e-461j)
| (0.4364092406733420746 + 1.0730337827110572882e-1798j)  +/-  (4.11e-481, 4.11e-481j)
| (0.99306845695492629564 - 3.4452283725226195855e-1765j)  +/-  (1.19e-449, 1.19e-449j)
| (-0.27144044986507425334 + 1.772452371081593649e-1811j)  +/-  (6.54e-492, 6.54e-492j)
| (-0.67880074553294174139 - 2.1093212106317366914e-1785j)  +/-  (2.08e-466, 2.08e-466j)
| (0.60355594195357142 + 2.0773172691745690401e-1790j)  +/-  (9.35e-471, 9.35e-471j)
| (0.19509032201612826785 - 1.1597965322110555216e-1816j)  +/-  (4.4e-497, 4.4e-497j)
| (-0.93121493475880355847 - 4.1962768476038514709e-1770j)  +/-  (1.14e-452, 1.14e-452j)
| (-0.58778525229247312917 - 9.9771494747574420723e-1792j)  +/-  (1.03e-471, 1.03e-471j)
| (-0.23344536385590541177 - 2.1659292560182482912e-1815j)  +/-  (1.66e-494, 1.66e-494j)
| (-0.96759909236025979091 + 6.6989657385325786076e-1768j)  +/-  (7.09e-451, 7.09e-451j)
| (0.38268343236508977173 - 1.4804450462331095573e-1815j)  +/-  (1.63e-484, 1.63e-484j)
| (0.47139673682599764856 + 1.1552505143458985029e-1810j)  +/-  (6.07e-479, 6.07e-479j)
| (0.84221723371628655087 - 1.8437727968414989434e-1788j)  +/-  (3.01e-457, 3.01e-457j)
| (-0.21430915306505074789 + 1.7199306800439831122e-1827j)  +/-  (8.74e-496, 8.74e-496j)
| (-0.7071067811865475244 + 2.459786394256162847e-1796j)  +/-  (7.74e-465, 7.74e-465j)
| (0.48862124149695494742 + 6.1537876834225979303e-1810j)  +/-  (6.65e-478, 6.65e-478j)
| (0.21430915306505074789 - 7.8727104252670803128e-1827j)  +/-  (9.09e-496, 9.09e-496j)
| (0.52249856471594886499 - 1.1376946259239865174e-1806j)  +/-  (1.26e-475, 1.26e-475j)
| (-0.40074883310314096198 + 7.0505920773430188994e-1815j)  +/-  (2.38e-483, 2.38e-483j)
| (-0.38268343236508977173 - 5.0632163454727929968e-1816j)  +/-  (1.59e-484, 1.59e-484j)
| (0.85264016435409222152 - 4.7989187427540021839e-1787j)  +/-  (1.09e-456, 1.09e-456j)
| (0.23344536385590541177 + 2.4093699834316225294e-1825j)  +/-  (1.62e-494, 1.62e-494j)
| (0.3090169943749474241 - 2.3262446820232848387e-1820j)  +/-  (1.92e-489, 1.92e-489j)
| (0.55557023301960222474 - 1.408871935562843777e-1804j)  +/-  (1.21e-473, 1.21e-473j)
| (-0.1370123416819680379 + 7.7511236582300266913e-1833j)  +/-  (4.94e-501, 4.94e-501j)
| (-0.85264016435409222152 - 4.6203544124594550125e-1788j)  +/-  (1.06e-456, 1.06e-456j)
| (0.058870803651189034718 - 1.248199722906068081e-1837j)  +/-  (1.88e-506, 1.88e-506j)
| (0.1370123416819680379 + 5.192326733608969717e-1832j)  +/-  (5.04e-501, 5.04e-501j)
| (-0.86273438597779181929 + 9.7024218008369274311e-1788j)  +/-  (3.45e-456, 3.45e-456j)
| (-0.3644704998791496598 - 1.1218828739121518045e-1817j)  +/-  (1.14e-485, 1.14e-485j)
| (-0.19509032201612826785 - 6.2501624385454612199e-1829j)  +/-  (4.46e-497, 4.46e-497j)
| (0.79732065377270713636 + 1.0087522523107934295e-1790j)  +/-  (1.18e-459, 1.18e-459j)
| (0.17579627993435450616 - 1.5112698605654497452e-1830j)  +/-  (1.8e-498, 1.8e-498j)
| (0.15643446504023086901 - 4.5589659769985214495e-1831j)  +/-  (1.04e-499, 1.04e-499j)
| (0.98768834059513772619 + 4.1305019625477292041e-1779j)  +/-  (6.96e-450, 6.96e-450j)
| (-0.11753739745783764411 - 6.2592161225568669813e-1835j)  +/-  (1.56e-502, 1.56e-502j)
| (-0.89100652418836786236 - 2.4057657588367877603e-1787j)  +/-  (1.08e-454, 1.08e-454j)
| (0.96245523645364728763 + 1.5615204658381069123e-1781j)  +/-  (3.94e-451, 3.94e-451j)
| (0.27144044986507425334 - 5.7209276941737963712e-1824j)  +/-  (6.49e-492, 6.49e-492j)
| (-0.72085359670291879907 + 2.0093246212385417157e-1796j)  +/-  (6.68e-464, 6.68e-464j)
| (-0.17579627993435450616 - 1.1352926782143009765e-1830j)  +/-  (1.88e-498, 1.88e-498j)
| (-0.4364092406733420746 + 4.1731006435629048801e-1815j)  +/-  (4.22e-481, 4.22e-481j)
| (0.97236992039767660183 + 3.078173161941920614e-1780j)  +/-  (1.21e-450, 1.21e-450j)
| (0.11753739745783764411 - 1.3264962025583136859e-1838j)  +/-  (1.57e-502, 1.57e-502j)
| (0.98078528040323044913 - 5.7402757817767932144e-1838j)  +/-  (3.12e-450, 3.12e-450j)
| (-0.48862124149695494742 + 6.8109710043229330893e-1869j)  +/-  (6.59e-478, 6.59e-478j)
| (-0.15643446504023086901 + 5.6110285342064678334e-1891j)  +/-  (1.03e-499, 1.03e-499j)
| (-0.019633692460628302085 + 1.5391910393393402893e-1900j)  +/-  (1.41e-509, 1.41e-509j)
| (0.29028467725446236764 + 7.4364416768210089986e-1884j)  +/-  (1.14e-490, 1.14e-490j)
| (0.098017140329560601994 - 2.4059491928488915262e-1896j)  +/-  (8.12e-504, 8.12e-504j)
| (-2.2558540286390034706e-2047 + 1.2635537379016597798e-2047j)  +/-  (4.16e-2045, 4.16e-2045j)
| (-0.098017140329560601994 + 9.5029751586483559933e-1897j)  +/-  (8.05e-504, 8.05e-504j)
| (-0.058870803651189034718 + 5.0053456049124979238e-1898j)  +/-  (1.96e-506, 1.96e-506j)
| (0.039259815759068609021 - 2.3869589481389672496e-1899j)  +/-  (6.19e-508, 6.19e-508j)
| (0.078459095727844945033 + 9.7288911815545295857e-1897j)  +/-  (3.96e-505, 3.96e-505j)
| (0.019633692460628302085 + 1.9367041163472858976e-1900j)  +/-  (1.17e-509, 1.17e-509j)
| (-0.039259815759068609021 + 2.0493084611118482588e-1899j)  +/-  (6.11e-508, 6.11e-508j)
| (-0.078459095727844945033 - 1.6006241460420621926e-1896j)  +/-  (4.06e-505, 4.06e-505j)
-------------------------------------------------
The weights are:
| (0.00625 + 4.7263350762942095602e-1576j)  +/-  (3.75e-41, 5.06e-248j)
| (0.00625 - 6.138791911668375654e-1577j)  +/-  (1.91e-41, 2.58e-248j)
| (0.00625 + 4.4118086020498546852e-1577j)  +/-  (1.17e-41, 1.58e-248j)
| (0.00625 - 1.6424683276331325075e-1578j)  +/-  (6.55e-43, 8.84e-250j)
| (0.00625 + 1.707348368563269557e-1578j)  +/-  (5.53e-43, 7.46e-250j)
| (0.00625 - 1.6889605498024498365e-1578j)  +/-  (3.47e-43, 4.69e-250j)
| (0.00625 - 3.4063552185055781987e-1575j)  +/-  (3.81e-43, 5.14e-250j)
| (0.00625 - 3.9983737970939943617e-1577j)  +/-  (2.33e-42, 3.15e-249j)
| (0.00625 + 6.9515661139376691805e-1577j)  +/-  (2.23e-42, 3.01e-249j)
| (0.00625 + 1.6835449251530997516e-1578j)  +/-  (9.96e-44, 1.34e-250j)
| (0.00625 + 1.7542434820395893183e-1578j)  +/-  (8.15e-45, 1.1e-251j)
| (0.00625 - 1.729055505593762135e-1578j)  +/-  (2.2e-44, 2.97e-251j)
| (0.00625 - 3.3311616365939828122e-1577j)  +/-  (2.36e-44, 3.18e-251j)
| (0.00625 + 2.6093517768386996055e-1577j)  +/-  (1.96e-45, 2.65e-252j)
| (0.00625 - 2.3713862209807160285e-1576j)  +/-  (1.7e-46, 2.3e-253j)
| (0.00625 - 1.7634451264325847171e-1578j)  +/-  (5.3e-46, 7.16e-253j)
| (0.00625 + 1.7214415927213687197e-1578j)  +/-  (2.76e-45, 3.72e-252j)
| (0.00625 - 7.9413177940182850926e-1577j)  +/-  (7.22e-45, 9.75e-252j)
| (0.00625 - 1.4569128715297048375e-1577j)  +/-  (1.32e-48, 1.78e-255j)
| (0.00625 + 5.4628564619831918459e-1577j)  +/-  (2.63e-44, 3.56e-251j)
| (0.00625 + 1.6947298415908896745e-1578j)  +/-  (4.25e-47, 5.74e-254j)
| (0.00625 + 1.839988505137192823e-1578j)  +/-  (2.03e-50, 2.74e-257j)
| (0.00625 + 1.2673040959759832267e-1576j)  +/-  (1.51e-46, 2.03e-253j)
| (0.00625 - 2.1030474316967847404e-1577j)  +/-  (8.5e-48, 1.15e-254j)
| (0.00625 + 1.9675360411478025346e-1577j)  +/-  (3.33e-48, 4.5e-255j)
| (0.00625 - 1.6552097241739862365e-1578j)  +/-  (1.66e-52, 2.24e-259j)
| (0.00625 - 1.8527723831773633342e-1578j)  +/-  (2.65e-51, 3.58e-258j)
| (0.00625 - 1.7008574572696188798e-1578j)  +/-  (8.31e-48, 1.12e-254j)
| (0.00625 - 2.8207398906515555851e-1577j)  +/-  (6.38e-47, 8.62e-254j)
| (0.00625 + 9.408274503370428714e-1578j)  +/-  (1.39e-53, 1.88e-260j)
| (0.00625 + 3.6414587821703882687e-1577j)  +/-  (4.28e-46, 5.78e-253j)
| (0.00625 - 1.7454495709841790294e-1578j)  +/-  (1.85e-49, 2.5e-256j)
| (0.00625 + 1.8941439897688132818e-1578j)  +/-  (1.2e-53, 1.62e-260j)
| (0.00625 - 1.646276966547471246e-1578j)  +/-  (2.78e-55, 3.75e-262j)
| (0.00625 - 1.3087441888210751863e-1577j)  +/-  (4.93e-52, 6.66e-259j)
| (0.00625 + 1.7341058794441324987e-1577j)  +/-  (3.12e-50, 4.21e-257j)
| (0.00625 - 1.5264245397265711408e-1576j)  +/-  (4.14e-50, 5.59e-257j)
| (0.00625 - 2.0100777847008130729e-1578j)  +/-  (9.84e-58, 1.33e-264j)
| (0.00625 + 1.7370559348311256755e-1578j)  +/-  (2.83e-51, 3.82e-258j)
| (0.00625 - 1.8450997945032351325e-1577j)  +/-  (7.08e-50, 9.56e-257j)
| (0.00625 - 8.314393179753598167e-1578j)  +/-  (6.75e-57, 9.12e-264j)
| (0.00625 + 6.314555735461147489e-1576j)  +/-  (3.25e-52, 4.39e-259j)
| (0.00625 - 1.8798375344487073491e-1578j)  +/-  (3.98e-56, 5.38e-263j)
| (0.00625 + 1.9243722896704172417e-1578j)  +/-  (1.45e-57, 1.96e-264j)
| (0.00625 - 4.2641064878247141811e-1576j)  +/-  (4.2e-52, 5.68e-259j)
| (0.00625 - 9.8252753063201563409e-1578j)  +/-  (4.33e-57, 5.84e-264j)
| (0.00625 + 1.3797091891119121634e-1577j)  +/-  (5.62e-54, 7.59e-261j)
| (0.00625 - 1.7142078708908150542e-1578j)  +/-  (1.39e-54, 1.87e-261j)
| (0.00625 - 2.1821405812613620458e-1578j)  +/-  (8.9e-64, 1.2e-270j)
| (0.00625 - 1.6693780448244004558e-1578j)  +/-  (2.29e-59, 3.1e-266j)
| (0.00625 - 1.6331693176687811373e-1577j)  +/-  (2.84e-53, 3.84e-260j)
| (0.00625 - 7.6950606294466387874e-1578j)  +/-  (7.86e-61, 1.06e-267j)
| (0.00625 - 1.0652046272403772662e-1575j)  +/-  (2.13e-53, 2.88e-260j)
| (0.00625 - 1.9739763891780235653e-1578j)  +/-  (1.04e-60, 1.4e-267j)
| (0.00625 + 2.0290920186909074754e-1578j)  +/-  (7.78e-62, 1.05e-268j)
| (0.003125 + 8.2115494476744569213e-1579j)  +/-  (2.61e-62, 3.52e-269j)
| (0.00625 + 6.8978534868684458921e-1578j)  +/-  (3.91e-63, 5.28e-270j)
| (0.00625 + 1.5411090523080018805e-1577j)  +/-  (1.29e-54, 1.74e-261j)
| (0.00625 - 1.8044926732624045405e-1578j)  +/-  (1.3e-59, 1.76e-266j)
| (0.00625 + 2.3161215788817841167e-1578j)  +/-  (3.36e-67, 4.53e-274j)
| (0.00625 + 1.9568524300396468214e-1578j)  +/-  (9.19e-61, 1.24e-267j)
| (0.00625 - 1.0753621527459027536e-1577j)  +/-  (3.62e-59, 4.89e-266j)
| (0.00625 - 7.1478465002829499615e-1578j)  +/-  (8.04e-63, 1.09e-269j)
| (0.003125 - 9.4608817020360935774e-1576j)  +/-  (3.43e-56, 4.63e-263j)
| (0.00625 - 2.0902289166235091172e-1578j)  +/-  (1.33e-64, 1.8e-271j)
| (0.00625 + 2.0691463629345192817e-1578j)  +/-  (4.95e-64, 6.69e-271j)
| (0.00625 - 1.6437365667222496776e-1578j)  +/-  (2.71e-64, 3.66e-271j)
| (0.00625 + 5.6620740547963972158e-1578j)  +/-  (1.07e-68, 1.45e-275j)
| (0.00625 + 1.243363196162606748e-1577j)  +/-  (2.96e-59, 4e-266j)
| (0.00625 - 1.9089841823507336809e-1578j)  +/-  (7.6e-62, 1.03e-268j)
| (0.00625 - 2.3457737618571433349e-1578j)  +/-  (7.05e-70, 9.52e-277j)
| (0.00625 + 1.8774081579397723395e-1576j)  +/-  (2.56e-57, 3.46e-264j)
| (0.00625 + 7.4131593479455267749e-1578j)  +/-  (6.89e-64, 9.3e-271j)
| (0.00625 - 6.6620310589962692733e-1578j)  +/-  (3.92e-66, 5.3e-273j)
| (0.00625 + 1.6429437642782352754e-1578j)  +/-  (7.9e-65, 1.07e-271j)
| (0.00625 + 2.259774533635793994e-1578j)  +/-  (8.62e-70, 1.16e-276j)
| (0.00625 + 1.8158595480552542894e-1578j)  +/-  (9.55e-64, 1.29e-270j)
| (0.00625 - 9.0190188668917866423e-1578j)  +/-  (6.04e-63, 8.15e-270j)
| (0.00625 + 4.7613753560726726353e-1578j)  +/-  (2.85e-73, 3.85e-280j)
| (0.00625 + 3.1026640152552958257e-1576j)  +/-  (2.23e-58, 3e-265j)
| (0.00625 - 1.940323177027955483e-1578j)  +/-  (2.12e-64, 2.86e-271j)
| (0.00625 - 2.4082222150626291416e-1578j)  +/-  (4.14e-73, 5.59e-280j)
| (0.00625 + 2.1287667861531213998e-1575j)  +/-  (3.46e-58, 4.68e-265j)
| (0.00625 + 6.0296186809638110303e-1578j)  +/-  (4.8e-70, 6.47e-277j)
| (0.00625 + 8.6551072038232931132e-1578j)  +/-  (5.19e-64, 7.01e-271j)
| (0.00625 + 1.6448473477221983409e-1578j)  +/-  (5.65e-68, 7.62e-275j)
| (0.00625 - 2.4751352247309753417e-1578j)  +/-  (2.8e-76, 3.78e-283j)
| (0.00625 + 1.9917121864983056297e-1578j)  +/-  (1.48e-67, 1.99e-274j)
| (0.00625 - 1.6616298968590635038e-1578j)  +/-  (4.05e-70, 5.47e-277j)
| (0.00625 - 4.4004902659002811451e-1578j)  +/-  (3.73e-79, 5.04e-286j)
| (0.00625 - 1.6500973962103231392e-1578j)  +/-  (1.14e-69, 1.53e-276j)
| (0.00625 - 2.1346188225989894393e-1578j)  +/-  (9.39e-73, 1.27e-279j)
| (0.00625 + 2.4410991404754218242e-1578j)  +/-  (1.39e-76, 1.88e-283j)
| (0.00625 + 2.4340493150783465621e-1575j)  +/-  (1.42e-62, 1.92e-269j)
| (0.00625 - 4.8935251906912484375e-1578j)  +/-  (1.33e-77, 1.8e-284j)
| (0.00625 - 6.2288199957666538993e-1578j)  +/-  (1.27e-73, 1.72e-280j)
| (0.00625 + 9.164303612605449397e-1577j)  +/-  (1.34e-65, 1.81e-272j)
| (0.00625 - 2.6238277158101978864e-1578j)  +/-  (2.52e-81, 3.4e-288j)
| (0.00625 + 1.7935771980509498186e-1578j)  +/-  (1.42e-71, 1.92e-278j)
| (0.00625 - 4.63539513690142776e-1578j)  +/-  (8.31e-79, 1.12e-285j)
| (0.00625 + 5.0322451194402344809e-1578j)  +/-  (9.15e-78, 1.24e-284j)
| (0.00625 - 1.6784786177523588114e-1578j)  +/-  (1.14e-71, 1.53e-278j)
| (0.00625 + 1.866051296166230039e-1578j)  +/-  (4.74e-71, 6.41e-278j)
| (0.00625 - 2.2874669975298262202e-1578j)  +/-  (3.1e-77, 4.18e-284j)
| (0.00625 + 1.6480265303941586484e-1578j)  +/-  (2.27e-71, 3.07e-278j)
| (0.00625 + 4.5152143220806811034e-1578j)  +/-  (3.57e-80, 4.82e-287j)
| (0.00625 + 1.0272714581933940792e-1577j)  +/-  (1.74e-72, 2.35e-279j)
| (0.00625 - 2.0487746398111351832e-1578j)  +/-  (7.94e-74, 1.07e-280j)
| (0.00625 + 2.750035664105203845e-1578j)  +/-  (2.67e-85, 3.61e-292j)
| (0.00625 - 4.8944643028242532943e-1577j)  +/-  (1.02e-69, 1.38e-276j)
| (0.00625 + 7.9949534988111347743e-1578j)  +/-  (1.07e-73, 1.45e-280j)
| (0.00625 + 4.2909054634426327607e-1578j)  +/-  (5.18e-83, 6.99e-290j)
| (0.00625 - 1.0701480332099095059e-1576j)  +/-  (9.17e-69, 1.24e-275j)
| (0.00625 + 2.3764608775602028575e-1578j)  +/-  (6.71e-80, 9.07e-287j)
| (0.00625 - 2.2330104463783405588e-1578j)  +/-  (4.44e-79, 5.99e-286j)
| (0.00625 - 1.7831034852614773808e-1578j)  +/-  (2.71e-76, 3.65e-283j)
| (0.00625 - 4.186165371456204485e-1578j)  +/-  (1.89e-85, 2.55e-292j)
| (0.00625 + 1.1271412873914526415e-1577j)  +/-  (2.46e-75, 3.32e-282j)
| (0.00625 + 2.2071426415615590823e-1578j)  +/-  (3.88e-79, 5.24e-286j)
| (0.00625 - 2.7064486850513913334e-1578j)  +/-  (1.1e-87, 1.48e-294j)
| (0.00625 + 2.1579751993685648694e-1578j)  +/-  (6.34e-79, 8.56e-286j)
| (0.00625 - 5.4923501722459501727e-1578j)  +/-  (8.86e-83, 1.2e-289j)
| (0.00625 + 5.3311669696932589713e-1578j)  +/-  (3.28e-83, 4.43e-290j)
| (0.00625 + 1.7730623669060382407e-1578j)  +/-  (1.6e-78, 2.16e-285j)
| (0.00625 + 2.6644005312041667819e-1578j)  +/-  (4.95e-88, 6.69e-295j)
| (0.00625 + 2.5103763808050087947e-1578j)  +/-  (4.87e-86, 6.58e-293j)
| (0.00625 + 2.1120450965760763489e-1578j)  +/-  (2.58e-80, 3.49e-287j)
| (0.00625 - 3.8104602833369247094e-1578j)  +/-  (8.52e-93, 1.15e-299j)
| (0.00625 + 2.2535700095578400651e-1577j)  +/-  (6.29e-81, 8.49e-288j)
| (0.00625 - 3.1043972476699202761e-1578j)  +/-  (2.14e-94, 2.89e-301j)
| (0.00625 - 2.8907206099861019712e-1578j)  +/-  (7.24e-93, 9.78e-300j)
| (0.00625 - 2.4214135102279793495e-1577j)  +/-  (2.58e-81, 3.48e-288j)
| (0.00625 - 5.1779689053480084929e-1578j)  +/-  (1.28e-86, 1.73e-293j)
| (0.00625 + 4.0859964466872200979e-1578j)  +/-  (2.1e-91, 2.83e-298j)
| (0.00625 - 1.8276879476070944716e-1578j)  +/-  (2.17e-83, 2.93e-290j)
| (0.00625 - 2.795228600079169677e-1578j)  +/-  (6.57e-92, 8.87e-299j)
| (0.00625 + 2.8420985188595508029e-1578j)  +/-  (1.36e-92, 1.84e-299j)
| (0.00625 + 1.6524911729373845069e-1578j)  +/-  (3.26e-87, 4.4e-294j)
| (0.00625 + 3.7262021655499526343e-1578j)  +/-  (6.06e-96, 8.18e-303j)
| (0.00625 + 3.0596674799518347532e-1577j)  +/-  (1.44e-84, 1.94e-291j)
| (0.00625 + 1.6737575770413203816e-1578j)  +/-  (1.6e-87, 2.16e-294j)
| (0.00625 + 2.5846701664124860363e-1578j)  +/-  (7.51e-92, 1.01e-298j)
| (0.00625 - 1.1829954054023592693e-1577j)  +/-  (1.29e-86, 1.74e-293j)
| (0.00625 - 3.9901443772071780542e-1578j)  +/-  (1.07e-94, 1.45e-301j)
| (0.00625 - 5.8409436140732391446e-1578j)  +/-  (5.3e-90, 7.16e-297j)
| (0.00625 + 1.6653365488411515541e-1578j)  +/-  (3.67e-88, 4.96e-295j)
| (0.00625 + 2.9411745183027374613e-1578j)  +/-  (4.29e-97, 5.8e-304j)
| (0.00625 + 1.6582551712699353698e-1578j)  +/-  (3.82e-88, 5.16e-295j)
| (0.00625 + 6.4393360844421402697e-1578j)  +/-  (8.51e-91, 1.15e-297j)
| (0.00625 + 3.8983724853284878684e-1578j)  +/-  (3.26e-96, 4.41e-303j)
| (0.00625 - 3.3534276923605156713e-1578j)  +/-  (1.55e-100, 2.09e-307j)
| (0.00625 - 2.5468710111779306173e-1578j)  +/-  (1.07e-94, 1.44e-301j)
| (0.00625 - 2.9935446598829758385e-1578j)  +/-  (8.52e-99, 1.15e-305j)
| (0.00625 + 3.2874731334444993553e-1578j)  +/-  (7.92e-101, 1.07e-307j)
| (0.00625 - 3.6454062221864713515e-1578j)  +/-  (2.99e-100, 4.04e-307j)
| (0.00625 - 3.4934953341225515521e-1578j)  +/-  (2.74e-101, 3.7e-308j)
| (0.00625 + 3.1630756138227372525e-1578j)  +/-  (2.11e-101, 2.85e-308j)
| (0.00625 + 3.0479205645628983139e-1578j)  +/-  (5.01e-101, 6.76e-308j)
| (0.00625 - 3.2240628960006918357e-1578j)  +/-  (1.08e-101, 1.46e-308j)
| (0.00625 + 3.4220558338641740409e-1578j)  +/-  (2.72e-102, 3.68e-309j)
| (0.00625 + 3.5678931622501711857e-1578j)  +/-  (2.65e-102, 3.58e-309j)
