Starting with polynomial:
P : t
Extension levels are: 1 78 80
-------------------------------------------------
Trying to find an order 78 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 80 Kronrod extension for:
P2 : t^79 - 79/4*t^77 + 1501/8*t^75 - 73075/64*t^73 + 640137/128*t^71 - 8598597/512*t^69 + 46055499/1024*t^67 - 1616328703/16384*t^65 + 1479737545/8192*t^63 - 9174372779/32768*t^61 + 24332032153/65536*t^59 - 222631588309/524288*t^57 + 441940317091/1048576*t^55 - 1529793405315/4194304*t^53 + 2316544299477/8388608*t^51 - 196906265455545/1073741824*t^49 + 459447952729605/4294967296*t^47 - 942434984631315/17179869184*t^45 + 849736461552825/34359738368*t^43 - 2692322893972635/274877906944*t^41 + 1870936248353865/549755813888*t^39 - 2276459376075885/2199023255552*t^37 + 1209028663848915/4398046511104*t^35 - 4468149409876425/70368744177664*t^33 + 893629881975285/70368744177664*t^31 - 615611696471863/281474976710656*t^29 + 181377611587501/562949953421312*t^27 - 181377611587501/4503599627370496*t^25 + 38104540249475/9007199254740992*t^23 - 13297170597403/36028797018963968*t^21 + 1899595799629/72057594037927936*t^19 - 3492805179963/2305843009213693952*t^17 + 1263355065093/18446744073709551616*t^15 - 174772439835/73786976294838206464*t^13 + 8909967521/147573952589676412928*t^11 - 1272852503/1180591620717411303424*t^9 + 29601221/2361183241434822606848*t^7 - 800033/9444732965739290427392*t^5 + 5135/18889465931478580854784*t^3 - 79/302231454903657293676544*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^159 - 40*t^157 + 12559/16*t^155 - 161161/16*t^153 + 12167733/128*t^151 - 45028955/64*t^149 + 17419288275/4096*t^147 - 88416033055/4096*t^145 + 3076632858873/32768*t^143 - 2911499347757/8192*t^141 + 621280198191653/524288*t^139 - 1842369703772975/524288*t^137 + 39182987555935171/4194304*t^135 - 47000249382317391/2097152*t^133 + 13096359043777142463/268435456*t^131 - 25992216651792740319/268435456*t^129 + 94443061743891101865/536870912*t^127 - 1231322197573283949/4194304*t^125 + 3877378555628544847275/8589934592*t^123 - 5507317668277288953525/8589934592*t^121 + 57941939613137930797425/68719476736*t^119 - 35347403510014932100875/34359738368*t^117 + 2565223016371616054121525/2199023255552*t^115 - 2707519461086207121093025/2199023255552*t^113 + 21308229663262474462605075/17592186044416*t^111 - 4890088942423987130619505/4398046511104*t^109 + 268352144359906773833352675/281474976710656*t^107 - 215112186118342798995740305/281474976710656*t^105 + 1290570142949349114319585085/2251799813685248*t^103 - 453008823827047143564141805/1125899906842624*t^101 + 305001601611367966462511095225/1152921504606846976*t^99 - 187889852325915016981201892625/1152921504606846976*t^97 + 1735605822975447550887207203525/18446744073709551616*t^95 - 117406992063026574573298034247/2305843009213693952*t^93 + 7623939589856046809247960992851/295147905179352825856*t^91 - 3625730592455843525276094773301/295147905179352825856*t^89 + 12930079680218876441438192445425/2361183241434822606848*t^87 - 2700891562063471810879788606391/1180591620717411303424*t^85 + 67659038457106053909631419815803/75557863725914323419136*t^83 - 24803417604237192748819396927543/75557863725914323419136*t^81 + 68098860412819106502847547457657/604462909807314587353088*t^79 - 5466849908179552811426109196665/151115727451828646838272*t^77 + 105055666307549944725238759912653/9671406556917033397649408*t^75 - 29474841965795011420018681093335/9671406556917033397649408*t^73 + 61765308457641091442537382756555/77371252455336267181195264*t^71 - 7545453748800361941307796767935/38685626227668133590597632*t^69 + 219878511481443775485952650508425/4951760157141521099596496896*t^67 - 46589279604078701154699532550745/4951760157141521099596496896*t^65 + 36703771891437363428760119626005/19807040628566084398385987584*t^63 - 419378030006330563168958300655/1237940039285380274899124224*t^61 + 18190233051319198762388012234679/316912650057057350374175801344*t^59 - 2851475266710117782965599548985/316912650057057350374175801344*t^57 + 3302315486455414704636768313893/2535301200456458802993406410752*t^55 - 220285106225073116382300329151/1267650600228229401496703205376*t^53 + 1729507736068417744251996369549/81129638414606681695789005144064*t^51 - 194611302068168083206218074185/81129638414606681695789005144064*t^49 + 160255315815816343811029991475/649037107316853453566312041152512*t^47 - 3761120007350205541575590805/162259276829213363391578010288128*t^45 + 20541853913729399116401445371/10384593717069655257060992658440192*t^43 - 1587725603204238261168187881/10384593717069655257060992658440192*t^41 + 885599222102045694585360693/83076749736557242056487941267521536*t^39 - 27724206923071634229028125/41538374868278621028243970633760768*t^37 + 397050422903674132040021691/10633823966279326983230456482242756608*t^35 - 19734845490013944539660307/10633823966279326983230456482242756608*t^33 + 27710544376214205309787269/340282366920938463463374607431768211456*t^31 - 133213110579297765906549/42535295865117307932921825928971026432*t^29 + 570015227914163784067035/5444517870735015415413993718908291383296*t^27 - 16406374656822915314493/5444517870735015415413993718908291383296*t^25 + 3216678728733928458585/43556142965880123323311949751266331066368*t^23 - 33127934225397426855/21778071482940061661655974875633165533184*t^21 + 36136671592825016055/1393796574908163946345982392040522594123776*t^19 - 500151864701106675/1393796574908163946345982392040522594123776*t^17 + 43937472603524085/11150372599265311570767859136324180752990208*t^15 - 92930403374865/2787593149816327892691964784081045188247552*t^13 + 37312695085185/178405961588244985132285746181186892047843328*t^11 - 164821998627/178405961588244985132285746181186892047843328*t^9 + 3808162215/1427247692705959881058285969449495136382746624*t^7 - 3205267/713623846352979940529142984724747568191373312*t^5 + 328719/91343852333181432387730302044767688728495783936*t^3 - 79/91343852333181432387730302044767688728495783936*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:   159 out of 159
Indefinite weights: 0 out of 159
Negative weights:   0 out of 159
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.99289207370197341415 + 4.8381065119423399065e-1645j)  +/-  (2.09e-450, 2.09e-450j)
| (-0.9498201317277826577 + 9.1241728220218427101e-1645j)  +/-  (1.78e-452, 1.78e-452j)
| (-0.92948340769738705843 + 1.4063025124078281461e-1646j)  +/-  (1.85e-453, 1.85e-453j)
| (-0.99289207370197341415 + 3.7891116630608999465e-1641j)  +/-  (2.12e-450, 2.12e-450j)
| (0.93663349826872787601 - 9.0696289977672293546e-1660j)  +/-  (4e-453, 4e-453j)
| (0.95585146140576079687 + 1.8147455702724470933e-1658j)  +/-  (3.63e-452, 3.63e-452j)
| (-0.99822143678193302316 + 8.6476272593025302874e-1654j)  +/-  (3.73e-450, 3.73e-450j)
| (-0.90584039366552321003 + 1.6754883634053014055e-1669j)  +/-  (1.23e-454, 1.23e-454j)
| (-0.95585146140576079687 - 2.3787240063584897142e-1665j)  +/-  (3.59e-452, 3.59e-452j)
| (0.96150490432742045042 - 6.6075035731153169837e-1672j)  +/-  (6.61e-452, 6.61e-452j)
| (0.87897519082243374142 + 4.8985657254911839986e-1676j)  +/-  (5.31e-456, 5.31e-456j)
| (0.76746266869390795472 + 3.0691137638145231675e-1681j)  +/-  (6.17e-462, 6.17e-462j)
| (-0.9219658547282066708 - 3.0461480594426002235e-1672j)  +/-  (7.75e-454, 7.75e-454j)
| (-0.87897519082243374142 + 3.2958058197350736466e-1675j)  +/-  (5.1e-456, 5.1e-456j)
| (-0.97617631441905084005 - 1.0113378855243861411e-1667j)  +/-  (3.33e-451, 3.33e-451j)
| (0.88828261274913188049 + 3.2700504183814036253e-1678j)  +/-  (1.52e-455, 1.52e-455j)
| (0.91408381135403463748 + 1.7436319763623948758e-1677j)  +/-  (3.23e-454, 3.23e-454j)
| (-0.96150490432742045042 - 5.7279129451914999434e-1672j)  +/-  (6.53e-452, 6.53e-452j)
| (-0.76746266869390795472 + 2.0877978582154519569e-1683j)  +/-  (6.1e-462, 6.1e-462j)
| (-0.94341329972213454557 + 5.1305346285804497233e-1674j)  +/-  (8.83e-453, 8.83e-453j)
| (0.9219658547282066708 + 1.5695878425386082701e-1676j)  +/-  (7.84e-454, 7.84e-454j)
| (0.80431656527076480017 - 1.6556289127937187867e-1682j)  +/-  (6.41e-460, 6.41e-460j)
| (-0.97166934004041001244 + 7.9453337526926246109e-1672j)  +/-  (1.99e-451, 1.99e-451j)
| (-0.83830940613027654749 + 1.2267808825050617479e-1679j)  +/-  (3.69e-458, 3.69e-458j)
| (-0.82730403254305724433 - 2.3113127646820060777e-1680j)  +/-  (1.01e-458, 1.01e-458j)
| (0.99506215052242745345 - 8.7967209647631697771e-1673j)  +/-  (2.59e-450, 2.59e-450j)
| (0.79234355946157430788 + 1.5819782597027928713e-1683j)  +/-  (1.26e-460, 1.26e-460j)
| (0.94341329972213454557 - 5.2917559531973456483e-1675j)  +/-  (8.73e-453, 8.73e-453j)
| (-0.88828261274913188049 - 9.3253705185680853852e-1677j)  +/-  (1.46e-455, 1.46e-455j)
| (-0.6562257492703756164 + 1.6647207233264554306e-1690j)  +/-  (3.19e-468, 3.19e-468j)
| (-0.91408381135403463748 + 2.0672158573481052761e-1675j)  +/-  (3.21e-454, 3.21e-454j)
| (0.869320274439582533 - 9.9193841241818919253e-1680j)  +/-  (1.6e-456, 1.6e-456j)
| (0.7545646201582301302 - 2.4749000227141256354e-1686j)  +/-  (1.19e-462, 1.19e-462j)
| (0.99822143678193302316 - 8.2553510969215481016e-1673j)  +/-  (3.75e-450, 3.75e-450j)
| (-0.7545646201582301302 - 3.9667087937747614003e-1684j)  +/-  (1.19e-462, 1.19e-462j)
| (-0.80431656527076480017 + 1.2197138897221871789e-1681j)  +/-  (6.53e-460, 6.53e-460j)
| (-0.99920939722730186322 - 5.9121030691570930498e-1669j)  +/-  (4.17e-450, 4.17e-450j)
| (0.64109363759222012339 - 1.3053285008663856706e-1710j)  +/-  (4.66e-469, 4.66e-469j)
| (0.89723886061921225575 - 9.4111615047599145348e-1697j)  +/-  (4.4e-455, 4.4e-455j)
| (-0.869320274439582533 - 1.666094263201160482e-1698j)  +/-  (1.56e-456, 1.56e-456j)
| (-0.61007514601052439455 + 2.3159701929808456465e-1711j)  +/-  (6.92e-471, 6.92e-471j)
| (-1 - 5.3143013853767968237e-1688j)  +/-  (2.27e-450, 2.27e-450j)
| (0.82730403254305724433 + 4.2192105324031486794e-1735j)  +/-  (1.02e-458, 1.02e-458j)
| (0.71410159909674973691 - 3.3636047120100935509e-1742j)  +/-  (7.65e-465, 7.65e-465j)
| (-0.99980232977006556464 + 1.3280050932379944301e-1722j)  +/-  (4.44e-450, 4.44e-450j)
| (-0.67109842835903676486 - 4.5814755545455420398e-1777j)  +/-  (2.19e-467, 2.19e-467j)
| (-0.78005730818521213889 + 7.2187712364519529775e-1771j)  +/-  (2.83e-461, 2.83e-461j)
| (0.9498201317277826577 - 1.8697803133951520401e-1762j)  +/-  (1.87e-452, 1.87e-452j)
| (0.5284195784526194879 + 1.4135612609899414337e-1785j)  +/-  (1.03e-475, 1.03e-475j)
| (0.96677822545803712702 - 9.2540625421741854617e-1762j)  +/-  (1.16e-451, 1.16e-451j)
| (-0.79234355946157430788 - 7.9198794016523388801e-1770j)  +/-  (1.25e-460, 1.25e-460j)
| (-0.54519477216266761787 + 1.383048009930304525e-1784j)  +/-  (1e-474, 1e-474j)
| (-0.99506215052242745345 - 5.4150758721620397614e-1757j)  +/-  (2.59e-450, 2.59e-450j)
| (0.67109842835903676486 - 3.944724116323931097e-1797j)  +/-  (2.24e-467, 2.24e-467j)
| (0.68570579508641317533 + 4.8350707930528833541e-1796j)  +/-  (1.43e-466, 1.43e-466j)
| (1 - 7.7711481598849732521e-1776j)  +/-  (4.09e-450, 4.09e-450j)
| (-0.56175442832077085463 + 4.1822328669592657844e-1812j)  +/-  (1.01e-473, 1.01e-473j)
| (-0.74136826169861817122 + 1.2003432586682200801e-1801j)  +/-  (2.32e-463, 2.32e-463j)
| (0.90584039366552321003 + 1.079882707700577166e-1792j)  +/-  (1.19e-454, 1.19e-454j)
| (0.4236191464085280675 + 2.9859613663279929361e-1821j)  +/-  (2.9e-482, 2.9e-482j)
| (0.45929728922297789714 - 3.3198363864350599382e-1818j)  +/-  (4.6e-480, 4.6e-480j)
| (-0.70004207456942537358 - 2.1868570700326792572e-1803j)  +/-  (8.67e-466, 8.67e-466j)
| (-0.5284195784526194879 + 1.4501346980170730637e-1814j)  +/-  (1.02e-475, 1.02e-475j)
| (0.98737534193633341354 + 2.2624478466168535161e-1787j)  +/-  (1.11e-450, 1.11e-450j)
| (0.59420102897171050501 + 1.7764770584809094014e-1810j)  +/-  (7.79e-472, 7.79e-472j)
| (0.74136826169861817122 - 1.3954396440694418667e-1801j)  +/-  (2.27e-463, 2.27e-463j)
| (0.81597159219916099773 - 4.8565596894589803092e-1798j)  +/-  (2.62e-459, 2.62e-459j)
| (-0.4055253208129938926 - 1.6387311523514512131e-1821j)  +/-  (2.12e-483, 2.12e-483j)
| (-0.85932168057966104712 + 3.7209128631299154725e-1794j)  +/-  (4.98e-457, 4.98e-457j)
| (0.8489833620913639072 + 1.3061061280114592766e-1795j)  +/-  (1.45e-457, 1.45e-457j)
| (0.36886392452400783996 - 1.0737628418403818132e-1824j)  +/-  (1.02e-485, 1.02e-485j)
| (-0.98029736680463614076 + 4.8238990419098093494e-1787j)  +/-  (5.32e-451, 5.32e-451j)
| (-0.59420102897171050501 + 2.1124183949078957254e-1824j)  +/-  (7.45e-472, 7.45e-472j)
| (-0.49424918861672287801 - 7.7821235385815755537e-1830j)  +/-  (5.49e-478, 5.49e-478j)
| (0.99920939722730186322 + 1.0243633711958272189e-1799j)  +/-  (4.14e-450, 4.14e-450j)
| (0.47686750142850602004 - 6.0005109716845395126e-1832j)  +/-  (5.09e-479, 5.09e-479j)
| (0.6562257492703756164 - 2.736252966531409192e-1821j)  +/-  (3.13e-468, 3.13e-468j)
| (0.98403086797842065357 - 3.6025370481587243628e-1803j)  +/-  (8.16e-451, 8.16e-451j)
| (-0.33161927855206779361 + 8.3785351175650147111e-1842j)  +/-  (3.36e-488, 3.36e-488j)
| (0.98029736680463614076 - 3.7419425943301059766e-1804j)  +/-  (5.29e-451, 5.29e-451j)
| (0.70004207456942537358 + 1.5893648498962770886e-1818j)  +/-  (8.46e-466, 8.46e-466j)
| (0.4055253208129938926 - 1.8894983267004789741e-1836j)  +/-  (2.21e-483, 2.21e-483j)
| (-0.99683883901469584883 - 2.1640341807568564397e-1800j)  +/-  (3.15e-450, 3.15e-450j)
| (-0.47686750142850602004 + 6.4236532229735462481e-1847j)  +/-  (5.19e-479, 5.19e-479j)
| (-0.4236191464085280675 - 8.6738121405059117687e-1851j)  +/-  (2.97e-482, 2.97e-482j)
| (0.99032946647250187999 + 5.9888478118093858239e-1818j)  +/-  (1.58e-450, 1.58e-450j)
| (0.38727117465064103737 + 1.6978661767552460123e-1853j)  +/-  (1.46e-484, 1.46e-484j)
| (0.78005730818521213889 + 5.4023343572248602956e-1831j)  +/-  (2.83e-461, 2.83e-461j)
| (-0.98403086797842065357 - 4.5364682817601759112e-1817j)  +/-  (7.73e-451, 7.73e-451j)
| (-0.27478777075102532008 - 1.0133312872299199191e-1870j)  +/-  (6.15e-492, 6.15e-492j)
| (-0.23634443853290489424 + 3.3655046662424634151e-1874j)  +/-  (1.5e-494, 1.5e-494j)
| (0.54519477216266761787 + 3.1599120982410999533e-1854j)  +/-  (1.01e-474, 1.01e-474j)
| (0.35031084756382428487 - 1.3492429874851221853e-1866j)  +/-  (4.98e-487, 4.98e-487j)
| (-0.99032946647250187999 + 1.7987297354349837207e-1827j)  +/-  (1.59e-450, 1.59e-450j)
| (-0.44154549821591183643 + 4.3135628532943061672e-1868j)  +/-  (3.69e-481, 3.69e-481j)
| (-0.57809200022484838325 - 7.7979009885981572592e-1862j)  +/-  (9.41e-473, 9.41e-473j)
| (-0.98737534193633341354 + 2.4903507935259411242e-1835j)  +/-  (1.19e-450, 1.19e-450j)
| (0.27478777075102532008 - 8.09763465749006953e-1880j)  +/-  (6.32e-492, 6.32e-492j)
| (-0.62570807566055991493 + 5.0742551982275891828e-1858j)  +/-  (5.42e-470, 5.42e-470j)
| (0.99980232977006556464 - 2.10484123466173592e-1834j)  +/-  (4.5e-450, 4.5e-450j)
| (-0.29385027433792090614 - 2.1387199495742799238e-1883j)  +/-  (1.08e-490, 1.08e-490j)
| (0.83830940613027654749 + 1.2581479716719336372e-1849j)  +/-  (3.78e-458, 3.78e-458j)
| (0.44154549821591183643 - 5.6243364025545400971e-1873j)  +/-  (3.59e-481, 3.59e-481j)
| (0.51143547910342218453 - 2.2451877434662811245e-1869j)  +/-  (1.05e-476, 1.05e-476j)
| (0.99683883901469584883 + 2.3446689302315976013e-1839j)  +/-  (3.16e-450, 3.16e-450j)
| (-0.31279660702222714473 - 8.9891648700207444818e-1882j)  +/-  (1.81e-489, 1.81e-489j)
| (-0.68570579508641317533 + 1.6257853106843862355e-1858j)  +/-  (1.43e-466, 1.43e-466j)
| (0.56175442832077085463 - 6.5200476679813376433e-1867j)  +/-  (9.95e-474, 9.95e-474j)
| (0.19752739717795267046 + 4.2732098973174716968e-1890j)  +/-  (4.24e-497, 4.24e-497j)
| (0.97617631441905084005 - 4.0855150425406479204e-1843j)  +/-  (3.38e-451, 3.38e-451j)
| (-0.64109363759222012339 + 4.6213046953468720557e-1864j)  +/-  (4.52e-469, 4.52e-469j)
| (-0.21697880810631805797 + 1.1297069645259408575e-1891j)  +/-  (8.35e-496, 8.35e-496j)
| (-0.96677822545803712702 - 1.2097919747700730789e-1846j)  +/-  (1.22e-451, 1.22e-451j)
| (0.49424918861672287801 - 1.0969882932253138564e-1876j)  +/-  (5.42e-478, 5.42e-478j)
| (0.31279660702222714473 + 1.2887380542436034229e-1889j)  +/-  (1.8e-489, 1.8e-489j)
| (0.92948340769738705843 - 2.5091284509322107932e-1849j)  +/-  (1.8e-453, 1.8e-453j)
| (-0.25561663244047468184 + 1.2372611528635673368e-1893j)  +/-  (3.95e-493, 3.95e-493j)
| (-0.45929728922297789714 + 1.6769889767293750981e-1880j)  +/-  (4.43e-480, 4.43e-480j)
| (0.61007514601052439455 - 2.1085112717050129403e-1869j)  +/-  (7.06e-471, 7.06e-471j)
| (0.21697880810631805797 - 3.6393545198843353327e-1895j)  +/-  (8.81e-496, 8.81e-496j)
| (0.62570807566055991493 + 1.0279054409331585978e-1868j)  +/-  (5.55e-470, 5.55e-470j)
| (-0.51143547910342218453 + 9.8533263078686587305e-1880j)  +/-  (1.04e-476, 1.04e-476j)
| (-0.17799789567755025007 + 3.5996452979973700784e-1898j)  +/-  (2.69e-498, 2.69e-498j)
| (0.15839802440721497568 + 8.2582246787104315042e-1900j)  +/-  (1.13e-499, 1.13e-499j)
| (0.29385027433792090614 - 2.4677271586874127576e-1890j)  +/-  (1.07e-490, 1.07e-490j)
| (0.72787881036949409524 - 8.9562428211569575875e-1863j)  +/-  (4.29e-464, 4.29e-464j)
| (-0.93663349826872787601 + 7.8208886046494927008e-1853j)  +/-  (4.17e-453, 4.17e-453j)
| (-0.15839802440721497568 + 1.884819627834469452e-1899j)  +/-  (1.18e-499, 1.18e-499j)
| (-0.019882187665070169327 + 2.445963906994033985e-1908j)  +/-  (1.41e-509, 1.41e-509j)
| (0.099253798908061597782 + 1.4334835259940828662e-1903j)  +/-  (8.27e-504, 8.27e-504j)
| (0.17799789567755025007 - 7.0013676277283470778e-1898j)  +/-  (2.63e-498, 2.63e-498j)
| (-0.72787881036949409524 + 2.9889559643836004424e-1865j)  +/-  (4.32e-464, 4.32e-464j)
| (-0.19752739717795267046 - 6.1981127971763025689e-1898j)  +/-  (4.51e-497, 4.51e-497j)
| (-0.35031084756382428487 - 4.2965909292645024114e-1887j)  +/-  (5.04e-487, 5.04e-487j)
| (-0.89723886061921225575 + 2.1115488390652190128e-1855j)  +/-  (4.53e-455, 4.53e-455j)
| (-0.8489833620913639072 + 6.33874134759605279e-1858j)  +/-  (1.46e-457, 1.46e-457j)
| (0.23634443853290489424 + 1.4140179893389572945e-1893j)  +/-  (1.59e-494, 1.59e-494j)
| (-0.81597159219916099773 - 5.1812769594605366828e-1859j)  +/-  (2.58e-459, 2.58e-459j)
| (-0.1190181918019047783 + 4.2404897448312872957e-1902j)  +/-  (1.52e-502, 1.52e-502j)
| (-0.71410159909674973691 - 1.302310263823428688e-1865j)  +/-  (7.8e-465, 7.8e-465j)
| (0.33161927855206779361 + 8.2189646337339270843e-1888j)  +/-  (3.48e-488, 3.48e-488j)
| (0.25561663244047468184 - 1.4057432070523459482e-1892j)  +/-  (4.06e-493, 4.06e-493j)
| (0.85932168057966104712 - 1.8856128361354890295e-1854j)  +/-  (4.9e-457, 4.9e-457j)
| (-0.36886392452400783996 - 7.665486367971024381e-1886j)  +/-  (1.02e-485, 1.02e-485j)
| (0.1190181918019047783 + 6.2302314584034382461e-1902j)  +/-  (1.49e-502, 1.49e-502j)
| (-0.039756515096925630625 + 3.9912958334881347754e-1908j)  +/-  (6.68e-508, 6.68e-508j)
| (0.039756515096925630625 - 4.7095987239536268195e-1908j)  +/-  (6.52e-508, 6.52e-508j)
| (0.019882187665070169327 - 2.6588258991032772027e-1908j)  +/-  (1.41e-509, 1.41e-509j)
| (-0.059615125169819889642 - 2.2215729362536883103e-1906j)  +/-  (1.81e-506, 1.81e-506j)
| (-0.13873553198906823232 - 6.2178584636601147939e-1901j)  +/-  (4.72e-501, 4.72e-501j)
| (-0.38727117465064103737 + 6.4548507096686205883e-1885j)  +/-  (1.44e-484, 1.44e-484j)
| (0.13873553198906823232 + 1.0138314631958518897e-1900j)  +/-  (4.83e-501, 4.83e-501j)
| (0.57809200022484838325 - 1.7404432187791700894e-1871j)  +/-  (9.26e-473, 9.26e-473j)
| (6.8350916960560441604e-2068 - 8.663607546328934175e-2068j)  +/-  (1.75e-2065, 1.75e-2065j)
| (-0.099253798908061597782 - 3.1543360622920447255e-1903j)  +/-  (8.8e-504, 8.8e-504j)
| (-0.079450166971714371773 + 6.5338541516872060417e-1905j)  +/-  (4.59e-505, 4.59e-505j)
| (0.97166934004041001244 + 7.1178936561706887683e-1903j)  +/-  (2.04e-451, 2.04e-451j)
| (0.079450166971714371773 + 2.3683279015399972299e-1959j)  +/-  (4.59e-505, 4.59e-505j)
| (0.059615125169819889642 - 8.6845791284378388796e-1961j)  +/-  (1.76e-506, 1.76e-506j)
-------------------------------------------------
The weights are:
| (0.0063291139240506329114 + 1.2186942033737049304e-1643j)  +/-  (3.38e-34, 1.87e-242j)
| (0.0063291139240506329114 + 5.5675763849009794795e-1642j)  +/-  (1.66e-34, 9.2e-243j)
| (0.0063291139240506329114 - 3.7849153162794994384e-1642j)  +/-  (1.04e-34, 5.75e-243j)
| (0.0063291139240506329114 - 8.4061089389125582184e-1642j)  +/-  (7.61e-36, 4.22e-244j)
| (0.0063291139240506329114 + 1.237740114998925738e-1643j)  +/-  (2.25e-36, 1.25e-244j)
| (0.0063291139240506329114 - 1.2226561638858155139e-1643j)  +/-  (1.54e-36, 8.53e-245j)
| (0.0063291139240506329114 + 4.5000417820504344747e-1641j)  +/-  (9.77e-37, 5.41e-245j)
| (0.0063291139240506329114 + 2.7561422892815278526e-1642j)  +/-  (1.17e-35, 6.49e-244j)
| (0.0063291139240506329114 - 6.4648826263424064666e-1642j)  +/-  (1.91e-35, 1.06e-243j)
| (0.0063291139240506329114 + 1.2176064577886148248e-1643j)  +/-  (6.19e-37, 3.43e-245j)
| (0.0063291139240506329114 - 1.2787884380724034304e-1643j)  +/-  (5.93e-38, 3.29e-246j)
| (0.0063291139240506329114 - 1.3612957972006860826e-1643j)  +/-  (4.31e-39, 2.39e-247j)
| (0.0063291139240506329114 + 3.3831594432121149589e-1642j)  +/-  (2e-35, 1.11e-243j)
| (0.0063291139240506329114 - 2.1059756380758072712e-1642j)  +/-  (4e-37, 2.21e-245j)
| (0.0063291139240506329114 - 1.4344584849333117101e-1641j)  +/-  (1.65e-37, 9.12e-246j)
| (0.0063291139240506329114 + 1.2722089262404215728e-1643j)  +/-  (3.3e-38, 1.83e-246j)
| (0.0063291139240506329114 - 1.2539980318182413683e-1643j)  +/-  (1.61e-38, 8.95e-247j)
| (0.0063291139240506329114 + 7.635682322673319516e-1642j)  +/-  (1.41e-36, 7.82e-245j)
| (0.0063291139240506329114 - 1.0641177084878642844e-1642j)  +/-  (4.02e-41, 2.23e-249j)
| (0.0063291139240506329114 - 4.8559317482860132925e-1642j)  +/-  (1.99e-36, 1.1e-244j)
| (0.0063291139240506329114 + 1.2483884379009947309e-1643j)  +/-  (1.25e-39, 6.95e-248j)
| (0.0063291139240506329114 + 1.3330873270313929054e-1643j)  +/-  (1.05e-41, 5.85e-250j)
| (0.0063291139240506329114 + 1.1297376790561731559e-1641j)  +/-  (1.57e-37, 8.69e-246j)
| (0.0063291139240506329114 - 1.5518761398401540582e-1642j)  +/-  (1.21e-40, 6.72e-249j)
| (0.0063291139240506329114 + 1.4487218641553303428e-1642j)  +/-  (6.26e-41, 3.47e-249j)
| (0.0063291139240506329114 - 1.3477492567193057945e-1643j)  +/-  (2.62e-45, 1.45e-253j)
| (0.0063291139240506329114 - 1.3421358051260382363e-1643j)  +/-  (2.2e-43, 1.22e-251j)
| (0.0063291139240506329114 - 1.2326413871374095509e-1643j)  +/-  (3.29e-42, 1.82e-250j)
| (0.0063291139240506329114 + 2.2934005818290179316e-1642j)  +/-  (3.83e-40, 2.12e-248j)
| (0.0063291139240506329114 - 7.1250389031218745695e-1643j)  +/-  (1.05e-46, 5.8e-255j)
| (0.0063291139240506329114 - 3.044588424249245159e-1642j)  +/-  (4.22e-39, 2.34e-247j)
| (0.0063291139240506329114 + 1.285642500198300719e-1643j)  +/-  (2.05e-43, 1.14e-251j)
| (0.0063291139240506329114 + 1.371427175662460091e-1643j)  +/-  (2e-45, 1.11e-253j)
| (0.0063291139240506329114 - 1.2621864149738980254e-1643j)  +/-  (6.76e-47, 3.74e-255j)
| (0.0063291139240506329114 + 1.0065239570068180076e-1642j)  +/-  (1.14e-44, 6.34e-253j)
| (0.0063291139240506329114 + 1.2721030657576549646e-1642j)  +/-  (1.59e-43, 8.81e-252j)
| (0.0063291139240506329114 - 3.7963006934198130083e-1641j)  +/-  (2.21e-44, 1.22e-252j)
| (0.0063291139240506329114 + 1.467169227086716934e-1643j)  +/-  (1.3e-51, 7.22e-260j)
| (0.0063291139240506329114 - 1.2658926749252766164e-1643j)  +/-  (9.09e-46, 5.04e-254j)
| (0.0063291139240506329114 + 1.9413974833705163796e-1642j)  +/-  (3.3e-43, 1.83e-251j)
| (0.0063291139240506329114 + 6.2660208049385707594e-1643j)  +/-  (3.84e-51, 2.13e-259j)
| (0.0031645569620253164557 - 1.6870278562283391575e-1641j)  +/-  (3.57e-45, 1.98e-253j)
| (0.0063291139240506329114 + 1.3160055858602996069e-1643j)  +/-  (2.9e-50, 1.61e-258j)
| (0.0063291139240506329114 - 1.4041529770219960036e-1643j)  +/-  (7.94e-53, 4.4e-261j)
| (0.0063291139240506329114 + 3.4705688779630365213e-1641j)  +/-  (5.84e-45, 3.24e-253j)
| (0.0063291139240506329114 + 7.4543683228521051713e-1643j)  +/-  (8.44e-52, 4.68e-260j)
| (0.0063291139240506329114 + 1.1270933545588140444e-1642j)  +/-  (2.4e-48, 1.33e-256j)
| (0.0063291139240506329114 + 1.227635299786686978e-1643j)  +/-  (1.42e-50, 7.84e-259j)
| (0.0063291139240506329114 - 1.5761096743955997011e-1643j)  +/-  (1.44e-58, 7.96e-267j)
| (0.0063291139240506329114 - 1.2123336425304323551e-1643j)  +/-  (2.24e-52, 1.24e-260j)
| (0.0063291139240506329114 - 1.1961494507179588128e-1642j)  +/-  (1.72e-48, 9.54e-257j)
| (0.0063291139240506329114 + 5.3578866409766435018e-1643j)  +/-  (4.29e-57, 2.38e-265j)
| (0.0063291139240506329114 + 1.1051220192389643228e-1640j)  +/-  (1.96e-47, 1.09e-255j)
| (0.0063291139240506329114 + 1.4406164595790231833e-1643j)  +/-  (1.8e-56, 9.98e-265j)
| (0.0063291139240506329114 - 1.428026426935261124e-1643j)  +/-  (3.97e-56, 2.2e-264j)
| (0.0031645569620253164557 + 6.2336710324507573681e-1644j)  +/-  (1.59e-57, 8.82e-266j)
| (0.0063291139240506329114 - 5.5636945297470267777e-1643j)  +/-  (1.48e-57, 8.19e-266j)
| (0.0063291139240506329114 - 9.5371186171801316043e-1643j)  +/-  (1.34e-52, 7.4e-261j)
| (0.0063291139240506329114 + 1.2598271502538355185e-1643j)  +/-  (2.63e-52, 1.46e-260j)
| (0.0063291139240506329114 - 1.6928890088824096591e-1643j)  +/-  (3.05e-63, 1.69e-271j)
| (0.0063291139240506329114 - 1.6512477427329173672e-1643j)  +/-  (1.06e-62, 5.85e-271j)
| (0.0063291139240506329114 + 8.1911718504844899542e-1643j)  +/-  (2.96e-55, 1.64e-263j)
| (0.0063291139240506329114 - 5.164363166103720372e-1643j)  +/-  (1.39e-59, 7.71e-268j)
| (0.0063291139240506329114 + 1.1558222881482288856e-1643j)  +/-  (3.35e-58, 1.85e-266j)
| (0.0063291139240506329114 - 1.5106469221981124856e-1643j)  +/-  (3.15e-61, 1.74e-269j)
| (0.0063291139240506329114 - 1.3819399087366075665e-1643j)  +/-  (2.74e-57, 1.52e-265j)
| (0.0063291139240506329114 - 1.3243803786943235224e-1643j)  +/-  (3.13e-56, 1.73e-264j)
| (0.0063291139240506329114 + 4.0837458223715036162e-1643j)  +/-  (2.52e-66, 1.4e-274j)
| (0.0063291139240506329114 - 1.7960456516517387213e-1642j)  +/-  (2.17e-54, 1.2e-262j)
| (0.0063291139240506329114 + 1.3002154404256281723e-1643j)  +/-  (5.81e-57, 3.22e-265j)
| (0.0063291139240506329114 + 1.7610282143661012256e-1643j)  +/-  (1.15e-67, 6.37e-276j)
| (0.0063291139240506329114 + 1.903921676520213668e-1641j)  +/-  (2.49e-55, 1.38e-263j)
| (0.0063291139240506329114 - 6.0165180197091918053e-1643j)  +/-  (1.84e-60, 1.02e-268j)
| (0.0063291139240506329114 - 4.810438927731386965e-1643j)  +/-  (7.91e-64, 4.38e-272j)
| (0.0063291139240506329114 + 1.2526032903581462488e-1643j)  +/-  (4.08e-60, 2.26e-268j)
| (0.0063291139240506329114 + 1.6314813896039673929e-1643j)  +/-  (1.44e-66, 7.99e-275j)
| (0.0063291139240506329114 - 1.4536594580506391322e-1643j)  +/-  (7.47e-62, 4.14e-270j)
| (0.0063291139240506329114 - 1.1788209661542252542e-1643j)  +/-  (1.75e-60, 9.67e-269j)
| (0.0063291139240506329114 + 3.6272880847814321915e-1643j)  +/-  (4.36e-72, 2.42e-280j)
| (0.0063291139240506329114 + 1.191360454197830979e-1643j)  +/-  (1.07e-60, 5.91e-269j)
| (0.0063291139240506329114 + 1.4158761500710253074e-1643j)  +/-  (5.58e-62, 3.09e-270j)
| (0.0063291139240506329114 + 1.7148166385601378185e-1643j)  +/-  (1.01e-69, 5.58e-278j)
| (0.0063291139240506329114 - 6.0764203297236679668e-1641j)  +/-  (9.28e-60, 5.14e-268j)
| (0.0063291139240506329114 + 4.6483917279507522556e-1643j)  +/-  (9.51e-69, 5.27e-277j)
| (0.0063291139240506329114 - 4.2135564425610584657e-1643j)  +/-  (2.13e-70, 1.18e-278j)
| (0.0063291139240506329114 - 1.0900321910006125052e-1643j)  +/-  (4.76e-61, 2.64e-269j)
| (0.0063291139240506329114 - 1.7375197221732988003e-1643j)  +/-  (7.3e-71, 4.04e-279j)
| (0.0063291139240506329114 + 1.3515353655730785943e-1643j)  +/-  (8.03e-62, 4.45e-270j)
| (0.0063291139240506329114 - 2.7062033194439280586e-1641j)  +/-  (2.19e-62, 1.21e-270j)
| (0.0063291139240506329114 - 3.3401875381603360367e-1643j)  +/-  (1.38e-75, 7.67e-284j)
| (0.0063291139240506329114 - 3.1704363261652675988e-1643j)  +/-  (1.78e-76, 9.84e-285j)
| (0.0063291139240506329114 + 1.5588877707980254877e-1643j)  +/-  (6.38e-70, 3.54e-278j)
| (0.0063291139240506329114 - 1.7853736714122484297e-1643j)  +/-  (1.28e-73, 7.07e-282j)
| (0.0063291139240506329114 - 9.3581855194615529585e-1641j)  +/-  (7.66e-63, 4.24e-271j)
| (0.0063291139240506329114 + 4.3505676970106273106e-1643j)  +/-  (2.29e-72, 1.27e-280j)
| (0.0063291139240506329114 + 5.7828460643229428393e-1643j)  +/-  (1.87e-69, 1.04e-277j)
| (0.0063291139240506329114 + 4.3469343914323529831e-1641j)  +/-  (3.91e-63, 2.16e-271j)
| (0.0063291139240506329114 - 1.8918182020672169605e-1643j)  +/-  (2.07e-79, 1.15e-287j)
| (0.0063291139240506329114 - 6.5328171985240598781e-1643j)  +/-  (1.37e-69, 7.59e-278j)
| (0.0063291139240506329114 - 1.2480859238803130348e-1643j)  +/-  (1.78e-66, 9.84e-275j)
| (0.0063291139240506329114 + 3.4312843623873029157e-1643j)  +/-  (9.34e-78, 5.18e-286j)
| (0.0063291139240506329114 - 1.3079536847303037727e-1643j)  +/-  (1.57e-67, 8.69e-276j)
| (0.0063291139240506329114 + 1.6717083860375492486e-1643j)  +/-  (3.14e-74, 1.74e-282j)
| (0.0063291139240506329114 + 1.5939350320270102818e-1643j)  +/-  (4.86e-74, 2.69e-282j)
| (0.0063291139240506329114 + 1.283151404614663504e-1643j)  +/-  (6.59e-67, 3.65e-275j)
| (0.0063291139240506329114 - 3.5268859593560560866e-1643j)  +/-  (1.26e-78, 6.97e-287j)
| (0.0063291139240506329114 - 7.8088655256737989448e-1643j)  +/-  (3.58e-72, 1.98e-280j)
| (0.0063291139240506329114 - 1.5422492673786536147e-1643j)  +/-  (4.55e-74, 2.52e-282j)
| (0.0063291139240506329114 - 2.0146708380442387318e-1643j)  +/-  (3.77e-84, 2.09e-292j)
| (0.0063291139240506329114 - 1.1998986819235646571e-1643j)  +/-  (8.91e-69, 4.94e-277j)
| (0.0063291139240506329114 + 6.8185442399142041821e-1643j)  +/-  (1.19e-72, 6.6e-281j)
| (0.0063291139240506329114 + 3.0912956311006559364e-1643j)  +/-  (9.63e-83, 5.33e-291j)
| (0.0063291139240506329114 - 9.1801285087546961372e-1642j)  +/-  (3.23e-69, 1.79e-277j)
| (0.0063291139240506329114 - 1.6123848987169225258e-1643j)  +/-  (5.83e-75, 3.23e-283j)
| (0.0063291139240506329114 - 1.8367103267938341907e-1643j)  +/-  (4.5e-81, 2.5e-289j)
| (0.0063291139240506329114 - 1.2429777914740450417e-1643j)  +/-  (1.04e-69, 5.76e-278j)
| (0.0063291139240506329114 + 3.2533223692441330194e-1643j)  +/-  (1.21e-81, 6.68e-290j)
| (0.0063291139240506329114 - 4.4953166337827879768e-1643j)  +/-  (2.14e-77, 1.18e-285j)
| (0.0063291139240506329114 + 1.4956474956036248038e-1643j)  +/-  (3.84e-75, 2.13e-283j)
| (0.0063291139240506329114 + 1.9822643148080691465e-1643j)  +/-  (2.31e-85, 1.28e-293j)
| (0.0063291139240506329114 - 1.4811602036321513344e-1643j)  +/-  (6.69e-75, 3.71e-283j)
| (0.0063291139240506329114 + 4.9821685501590235367e-1643j)  +/-  (1.26e-77, 7e-286j)
| (0.0063291139240506329114 + 2.9433992138678471279e-1643j)  +/-  (9.81e-87, 5.43e-295j)
| (0.0063291139240506329114 - 2.0831760755112167643e-1643j)  +/-  (7.72e-88, 4.28e-296j)
| (0.0063291139240506329114 + 1.863773593003719169e-1643j)  +/-  (2.94e-83, 1.63e-291j)
| (0.0063291139240506329114 + 1.3928447778534725461e-1643j)  +/-  (3.02e-75, 1.67e-283j)
| (0.0063291139240506329114 + 4.2672548028588956527e-1642j)  +/-  (9.82e-77, 5.44e-285j)
| (0.0063291139240506329114 - 2.874255682193849526e-1643j)  +/-  (3.99e-88, 2.21e-296j)
| (0.0063291139240506329114 + 2.4650031738834825239e-1643j)  +/-  (3.49e-91, 1.94e-299j)
| (0.0063291139240506329114 + 2.1960339819430044855e-1643j)  +/-  (2.39e-90, 1.33e-298j)
| (0.0063291139240506329114 + 2.0482898857736411052e-1643j)  +/-  (1.45e-87, 8.06e-296j)
| (0.0063291139240506329114 + 9.0516323588334294809e-1643j)  +/-  (6.24e-82, 3.46e-290j)
| (0.0063291139240506329114 - 3.0156836103774027254e-1643j)  +/-  (1.92e-87, 1.07e-295j)
| (0.0063291139240506329114 - 3.7328114260823232031e-1643j)  +/-  (1.09e-85, 6.06e-294j)
| (0.0063291139240506329114 - 2.5082069726377380317e-1642j)  +/-  (4.38e-81, 2.43e-289j)
| (0.0063291139240506329114 + 1.6669986287937337676e-1642j)  +/-  (4.91e-82, 2.72e-290j)
| (0.0063291139240506329114 - 1.9510187427166303947e-1643j)  +/-  (5.23e-90, 2.9e-298j)
| (0.0063291139240506329114 - 1.3559150449760836707e-1642j)  +/-  (2.03e-82, 1.12e-290j)
| (0.0063291139240506329114 - 2.7447085362849143259e-1643j)  +/-  (1.19e-93, 6.6e-302j)
| (0.0063291139240506329114 - 8.604287538994999423e-1643j)  +/-  (2.13e-83, 1.18e-291j)
| (0.0063291139240506329114 + 1.8105893522109053803e-1643j)  +/-  (9.02e-89, 5e-297j)
| (0.0063291139240506329114 + 1.92088539385707601e-1643j)  +/-  (3.87e-90, 2.15e-298j)
| (0.0063291139240506329114 - 1.2927815467533118326e-1643j)  +/-  (5.95e-86, 3.3e-294j)
| (0.0063291139240506329114 + 3.8438041725053155037e-1643j)  +/-  (1.13e-89, 6.26e-298j)
| (0.0063291139240506329114 - 2.1569848812041388689e-1643j)  +/-  (1.88e-94, 1.04e-302j)
| (0.0063291139240506329114 - 2.5164149643826136042e-1643j)  +/-  (1.7e-96, 9.4e-305j)
| (0.0063291139240506329114 - 2.32260358666172889e-1643j)  +/-  (5.23e-97, 2.9e-305j)
| (0.0063291139240506329114 + 2.3681949091248744425e-1643j)  +/-  (3.84e-97, 2.13e-305j)
| (0.0063291139240506329114 + 2.569972709542581718e-1643j)  +/-  (2.42e-97, 1.34e-305j)
| (0.0063291139240506329114 + 2.8080793450802606453e-1643j)  +/-  (2.3e-96, 1.27e-304j)
| (0.0063291139240506329114 - 3.9606449008974448949e-1643j)  +/-  (8.79e-94, 4.87e-302j)
| (0.0063291139240506329114 + 2.1193872841451400724e-1643j)  +/-  (7.38e-97, 4.09e-305j)
| (0.0063291139240506329114 + 1.5261750560309618946e-1643j)  +/-  (7.88e-95, 4.37e-303j)
| (0.0063291139240506329114 - 2.4156300081078417479e-1643j)  +/-  (7.99e-98, 4.43e-306j)
| (0.0063291139240506329114 + 2.6839926123327200365e-1643j)  +/-  (6.15e-98, 3.41e-306j)
| (0.0063291139240506329114 - 2.6257910638374443772e-1643j)  +/-  (4.13e-98, 2.29e-306j)
| (0.0063291139240506329114 + 1.2065836915769193306e-1643j)  +/-  (1.18e-97, 6.55e-306j)
| (0.0063291139240506329114 - 2.2366037221985362328e-1643j)  +/-  (2.7e-99, 1.5e-307j)
| (0.0063291139240506329114 + 2.2787675571871065398e-1643j)  +/-  (2.65e-99, 1.47e-307j)
