Starting with polynomial:
P : 2*t
Extension levels are: 1 4 72 78
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 72 Kronrod extension for:
P2 : 2*t^5 - 2*t^3 + 3/8*t
Solvable: 1
-------------------------------------------------
Trying to find an order 78 Kronrod extension for:
P3 : 2*t^77 - 38*t^75 + 2775/8*t^73 - 8103/4*t^71 + 544215/64*t^69 - 1748943/64*t^67 + 143218999/2048*t^65 - 18730855/128*t^63 + 1045181709/4096*t^61 - 1540002035/4096*t^59 + 30999335081/65536*t^57 - 16782543687/32768*t^55 + 251738155305/524288*t^53 - 205263418941/524288*t^51 + 37387265592825/134217728*t^49 - 5815796869995/33554432*t^47 + 202802465047245/2147483648*t^45 - 96805419670575/2147483648*t^43 + 647520696018735/34359738368*t^41 - 118413686604675/17179869184*t^39 + 605134770855615/274877906944*t^37 - 168345763320735/274877906944*t^35 + 1300853625660225/8796093022208*t^33 - 33935311973745/1099511627776*t^31 + 194813827997425/35184372088832*t^29 - 29846948742247/35184372088832*t^27 + 61989816618513/562949953421312*t^25 - 3376351667675/281474976710656*t^23 + 4881239839553/4503599627370496*t^21 - 360682746765/4503599627370496*t^19 + 1370594437707/288230376151711744*t^17 - 15991836267/72057594037927936*t^15 + 73006209045/9223372036854775808*t^13 - 1917334783/9223372036854775808*t^11 + 563921995/147573952589676412928*t^9 - 3372291/73786976294838206464*t^7 + 374699/1180591620717411303424*t^5 - 1235/1180591620717411303424*t^3 + 39/37778931862957161709568*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^155 - 77*t^153 + 2907/2*t^151 - 71725/4*t^149 + 20811575/128*t^147 - 295800015/256*t^145 + 1715640087/256*t^143 - 16700761077/512*t^141 + 2227520430135/16384*t^139 - 16148260351795/32768*t^137 + 103039173587207/65536*t^135 - 584319326079177/131072*t^133 + 94984352672648439/8388608*t^131 - 435068188815277815/16777216*t^129 + 112925143575796455/2097152*t^127 - 427193415484608717/4194304*t^125 + 47296413857224536525/268435456*t^123 - 150175621316443376025/536870912*t^121 + 438919086456271702875/1073741824*t^119 - 1183884328086624520125/2147483648*t^117 + 47257876767034317609225/68719476736*t^115 - 109268212419015856059425/137438953472*t^113 + 117274295825565186082775/137438953472*t^111 - 234050204646968114101125/274877906944*t^109 + 6957674265414415755551625/8796093022208*t^107 - 12047930002798519618239165/17592186044416*t^105 + 19462040773751454767924805/35184372088832*t^103 - 29352311278930919292537755/70368744177664*t^101 + 10587797997042938744808261625/36028797018963968*t^99 - 13945535727302551140663827625/72057594037927936*t^97 + 4294339573169357017918702475/36028797018963968*t^95 - 4948187404955142989679227497/72057594037927936*t^93 + 341424930941904866287866697293/9223372036854775808*t^91 - 344453089974649033616362189065/18446744073709551616*t^89 + 325187632676163359605032384855/36893488147419103232*t^87 - 287255474342745484836464262513/73786976294838206464*t^85 + 3798155716309634743948805248783/2361183241434822606848*t^83 - 2935526664229317972668131787783/4722366482869645213696*t^81 + 1060560480832179999046024419315/4722366482869645213696*t^79 - 716104940049078802774666060905/9444732965739290427392*t^77 + 7225251912357257161788527221407/302231454903657293676544*t^75 - 4252401708757452518337892479195/604462909807314587353088*t^73 + 2334024998039804765704256774295/1208925819614629174706176*t^71 - 1193671973683662243831051262425/2417851639229258349412352*t^69 + 18184119806895270285893806893825/154742504910672534362390528*t^67 - 8049066845454543063485727135585/309485009821345068724781056*t^65 + 413588414983830275989385188785/77371252455336267181195264*t^63 - 157668978033070569784749028635/154742504910672534362390528*t^61 + 1781075492595797177198090879025/9903520314283042199192993792*t^59 - 581235965636354943769966334925/19807040628566084398385987584*t^57 + 175028792670872167972993635951/39614081257132168796771975168*t^55 - 48537396286880517168981428457/79228162514264337593543950336*t^53 + 197883231015743646919693516017/2535301200456458802993406410752*t^51 - 46217460990121478260232502825/5070602400912917605986812821504*t^49 + 4933890171058719901419156075/5070602400912917605986812821504*t^47 - 960132362720877806198759265/10141204801825835211973625643008*t^45 + 2715802968839054366105061921/324518553658426726783156020576256*t^43 - 434586227336818375437333141/649037107316853453566312041152512*t^41 + 62695409292081468659150805/1298074214633706907132624082305024*t^39 - 8117647787075374502259435/2596148429267413814265248164610048*t^37 + 60070593624357771316719819/332306998946228968225951765070086144*t^35 - 6167731355736475225789179/664613997892457936451903530140172288*t^33 + 139694670377010077179851/332306998946228968225951765070086144*t^31 - 11086878601350006125385/664613997892457936451903530140172288*t^29 + 97853754611915271454485/170141183460469231731687303715884105728*t^27 - 5806706317630136987409/340282366920938463463374607431768211456*t^25 + 293267995839905908455/680564733841876926926749214863536422912*t^23 - 12442864824332751105/1361129467683753853853498429727072845824*t^21 + 6986635329170796075/43556142965880123323311949751266331066368*t^19 - 199019597082826275/87112285931760246646623899502532662132736*t^17 + 2248061893958835/87112285931760246646623899502532662132736*t^15 - 39112924418505/174224571863520493293247799005065324265472*t^13 + 8070920911755/5575186299632655785383929568162090376495104*t^11 - 73263021975/11150372599265311570767859136324180752990208*t^9 + 434652075/22300745198530623141535718272648361505980416*t^7 - 1502501/44601490397061246283071436545296723011960832*t^5 + 79079/2854495385411919762116571938898990272765493248*t^3 - 39/5708990770823839524233143877797980545530986496*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:   155 out of 155
Indefinite weights: 0 out of 155
Negative weights:   0 out of 155
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-0.99008032796116404265 + 1.2452086247343553093e-1550j)  +/-  (2.69e-453, 2.69e-453j)
| (-0.93501624268541482344 - 5.2707443833900554668e-1570j)  +/-  (4.37e-455, 4.37e-455j)
| (-0.94196734599126486468 + 6.0582618885580086187e-1568j)  +/-  (8.46e-455, 8.46e-455j)
| (0.97979065204226770147 + 6.6993802223083941448e-1570j)  +/-  (1.85e-453, 1.85e-453j)
| (0.91189984599209007718 + 1.4550523138660939835e-1577j)  +/-  (4.37e-456, 4.37e-456j)
| (0.93501624268541482344 + 6.8839259625727654171e-1576j)  +/-  (4.35e-455, 4.35e-455j)
| (-0.97979065204226770147 - 2.9913503491557107204e-1572j)  +/-  (1.84e-453, 1.84e-453j)
| (-0.90345043461038227502 - 1.6015693809757858365e-1585j)  +/-  (1.84e-456, 1.84e-456j)
| (-0.95472086650854562606 - 6.8615742454309665896e-1583j)  +/-  (2.71e-454, 2.71e-454j)
| (0.94196734599126486468 + 2.8944065814468710919e-1585j)  +/-  (8.62e-455, 8.62e-455j)
| (0.8854560256532098959 - 7.686614721089227706e-1588j)  +/-  (2.56e-457, 2.56e-457j)
| (-0.446798464501625768 + 1.8236137948553630421e-1611j)  +/-  (2.18e-481, 2.18e-481j)
| (-0.8854560256532098959 - 2.2011926158277339805e-1587j)  +/-  (2.69e-457, 2.69e-457j)
| (-0.89463463610514737239 - 2.9208130321276086971e-1586j)  +/-  (7.18e-457, 7.18e-457j)
| (0.99008032796116404265 - 8.234944204983390951e-1583j)  +/-  (2.72e-453, 2.72e-453j)
| (0.85578127230144752264 + 1.1538285134995119173e-1589j)  +/-  (1.03e-458, 1.03e-458j)
| (0.90345043461038227502 + 3.5112059829833657086e-1587j)  +/-  (1.78e-456, 1.78e-456j)
| (-0.94853644194714552616 - 5.602840286118398068e-1583j)  +/-  (1.55e-454, 1.55e-454j)
| (-0.77460496182765458307 - 1.4439906059824991247e-1592j)  +/-  (8.95e-463, 8.95e-463j)
| (-0.92768595099414288028 + 2.9653087248008016299e-1585j)  +/-  (2.11e-455, 2.11e-455j)
| (0.89463463610514737239 - 5.3837209870281484955e-1587j)  +/-  (7.22e-457, 7.22e-457j)
| (0.79944276340350114978 + 2.5289244902702111106e-1592j)  +/-  (1.81e-461, 1.81e-461j)
| (0.99493483506264562328 - 2.4396835758790968586e-1583j)  +/-  (2.39e-453, 2.39e-453j)
| (-0.82298386589365639458 + 4.3057862652181956554e-1590j)  +/-  (2.57e-460, 2.57e-460j)
| (-0.83425613868286131895 - 2.5513699150253767441e-1589j)  +/-  (8.79e-460, 8.79e-460j)
| (-0.99493483506264562328 - 6.2525032235414896944e-1581j)  +/-  (2.26e-453, 2.26e-453j)
| (0.76171230817735912451 - 1.4862671941407380279e-1608j)  +/-  (1.89e-463, 1.89e-463j)
| (0.84519008554379475254 + 6.4021097343154714073e-1605j)  +/-  (3.26e-459, 3.26e-459j)
| (-0.97094181742605202716 + 1.0332834630415067383e-1595j)  +/-  (1e-453, 1e-453j)
| (-0.66312265824079520238 - 5.7526570585509876774e-1635j)  +/-  (9.02e-469, 9.02e-469j)
| (-0.85578127230144752264 - 1.6454377912421267733e-1624j)  +/-  (1.03e-458, 1.03e-458j)
| (0.83425613868286131895 - 1.3371690164545682809e-1626j)  +/-  (9.03e-460, 9.03e-460j)
| (0.73500563559632856751 + 4.3882597968298912136e-1632j)  +/-  (7.92e-465, 7.92e-465j)
| (-0.9991889981715696377 + 6.5491745431375332178e-1617j)  +/-  (5.81e-454, 5.81e-454j)
| (-0.72120244734381453129 - 1.0120485838182259892e-1653j)  +/-  (1.55e-465, 1.55e-465j)
| (-0.8113778385565730064 - 5.1263983854813661627e-1649j)  +/-  (7e-461, 7e-461j)
| (0.9991889981715696377 + 5.9349880908970977178e-1639j)  +/-  (6.07e-454, 6.07e-454j)
| (0.63244537559537723782 + 9.4417957253661144429e-1670j)  +/-  (1.9e-470, 1.9e-470j)
| (0.91997944365882420313 + 5.1120265658359072114e-1654j)  +/-  (9.63e-456, 9.63e-456j)
| (-0.79944276340350114978 + 3.8276046422072483357e-1659j)  +/-  (1.73e-461, 1.73e-461j)
| (-0.60074226423797891692 + 5.0986763428259190154e-1670j)  +/-  (3.07e-472, 3.07e-472j)
| (-0.9927088740980539928 + 4.3917905468396578654e-1649j)  +/-  (2.74e-453, 2.74e-453j)
| (0.77460496182765458307 - 6.1761281503272339509e-1676j)  +/-  (8.73e-463, 8.73e-463j)
| (0.67806099699189088499 + 9.8823376976977730667e-1682j)  +/-  (5.44e-468, 5.44e-468j)
| (0.99817555422331747084 - 6.4328576477353385972e-1664j)  +/-  (1.17e-453, 1.17e-453j)
| (-0.64791539538053876978 + 1.3117209230841554422e-1682j)  +/-  (1.32e-469, 1.32e-469j)
| (-0.7871834806090501818 - 1.3224884916926954392e-1675j)  +/-  (3.73e-462, 3.73e-462j)
| (0.92768595099414288028 - 1.9371392054211408539e-1667j)  +/-  (2.11e-455, 2.11e-455j)
| (0.51733781417765677104 + 5.8030902099779163178e-1690j)  +/-  (4.89e-477, 4.89e-477j)
| (0.7871834806090501818 - 1.7822801625084367983e-1674j)  +/-  (3.64e-462, 3.64e-462j)
| (-0.74851074817110109863 + 2.5163630825311948512e-1677j)  +/-  (3.8e-464, 3.8e-464j)
| (-0.53446582612780109204 - 1.5184745690123172812e-1689j)  +/-  (4.71e-476, 4.71e-476j)
| (0.97556405084709386164 - 1.2365189898775245928e-1664j)  +/-  (1.33e-453, 1.33e-453j)
| (0.66312265824079520238 - 1.5414293169098777274e-1681j)  +/-  (8.95e-469, 8.95e-469j)
| (0.64791539538053876978 - 7.0473225379569542431e-1682j)  +/-  (1.35e-469, 1.35e-469j)
| (0.99979722898485011697 - 1.2202587062250191751e-1663j)  +/-  (1.51e-454, 1.51e-454j)
| (-0.55137708972169170284 + 1.4561908449395895284e-1691j)  +/-  (4.27e-475, 4.27e-475j)
| (-0.76171230817735912451 - 4.7846770433584700682e-1679j)  +/-  (1.88e-463, 1.88e-463j)
| (0.8113778385565730064 + 6.7709329554967175197e-1676j)  +/-  (6.75e-461, 6.75e-461j)
| (0.41041280545275679642 + 1.1626045885252648872e-1698j)  +/-  (1.35e-483, 1.35e-483j)
| (0.9927088740980539928 - 1.1868884593322842921e-1666j)  +/-  (2.66e-453, 2.66e-453j)
| (-0.67806099699189088499 - 2.5163628940369408642e-1686j)  +/-  (5.51e-468, 5.51e-468j)
| (-0.56806474673115580251 - 3.5511091876889967698e-1692j)  +/-  (4.03e-474, 4.03e-474j)
| (0.98361990694714358842 + 1.9285741505792465845e-1670j)  +/-  (2.13e-453, 2.13e-453j)
| (0.58452202960988882686 + 3.2665536708334324854e-1694j)  +/-  (3.38e-473, 3.38e-473j)
| (0.61671887262854305846 + 9.0277527185917202281e-1692j)  +/-  (2.29e-471, 2.29e-471j)
| (0.96051811163137229844 + 6.7203319841209866177e-1673j)  +/-  (4.47e-454, 4.47e-454j)
| (-0.41041280545275679642 + 2.4988786534957174942e-1703j)  +/-  (1.36e-483, 1.36e-483j)
| (-0.73500563559632856751 - 3.3974316530036572216e-1685j)  +/-  (7.99e-465, 7.99e-465j)
| (0.6927243535095993926 + 6.1960723149086612642e-1688j)  +/-  (3.32e-467, 3.32e-467j)
| (0.39196660986007507588 - 2.4140119626560130438e-1705j)  +/-  (9.28e-485, 9.28e-485j)
| (-0.98361990694714358842 + 6.3547070223504168689e-1671j)  +/-  (2.21e-453, 2.21e-453j)
| (-0.61671887262854305846 + 9.3923021095898072324e-1703j)  +/-  (2.35e-471, 2.35e-471j)
| (-0.48245941480719334593 - 1.3356395107599401492e-1710j)  +/-  (2.67e-479, 2.67e-479j)
| (-0.99817555422331747084 - 1.9594154224265981003e-1682j)  +/-  (1.17e-453, 1.17e-453j)
| (0.46472317204376854566 - 1.6929975268662329527e-1729j)  +/-  (2.54e-480, 2.54e-480j)
| (0.29750305385520297665 - 8.6422371540710099104e-1740j)  +/-  (8.9e-491, 8.9e-491j)
| (-0.99979722898485011697 - 1.5642206947758409417e-1699j)  +/-  (1.52e-454, 1.52e-454j)
| (-0.33570451156660481864 - 1.6641759739930921899e-1751j)  +/-  (2.6e-488, 2.6e-488j)
| (-0.87591832556688785493 - 3.551089715602268961e-1720j)  +/-  (9.55e-458, 9.55e-458j)
| (0.72120244734381453129 - 5.8679049681766635753e-1729j)  +/-  (1.53e-465, 1.53e-465j)
| (0.35460488704253562597 + 3.2358211556273997844e-1750j)  +/-  (5.4e-487, 5.4e-487j)
| (-0.98705026263791286379 + 1.1698940197848759781e-1714j)  +/-  (2.56e-453, 2.56e-453j)
| (-0.51733781417765677104 + 1.0738348270978355281e-1748j)  +/-  (4.76e-477, 4.76e-477j)
| (-0.63244537559537723782 + 4.4001926590897131515e-1741j)  +/-  (1.91e-470, 1.91e-470j)
| (-0.96051811163137229844 - 5.0099851142749778689e-1723j)  +/-  (4.54e-454, 4.54e-454j)
| (0.37336145533262098419 + 9.644620497631312405e-1761j)  +/-  (6.93e-486, 6.93e-486j)
| (0.56806474673115580251 - 1.0668808001082608627e-1748j)  +/-  (3.92e-474, 3.92e-474j)
| (0.82298386589365639458 - 1.4387586518644175911e-1734j)  +/-  (2.52e-460, 2.52e-460j)
| (-0.25881904510252076235 + 8.130774061668315696e-1770j)  +/-  (3.19e-493, 3.19e-493j)
| (-0.5 - 4.1207747899816554061e-1753j)  +/-  (2.69e-478, 2.69e-478j)
| (0.33570451156660481864 - 3.7792498690408555692e-1763j)  +/-  (2.49e-488, 2.49e-488j)
| (0.31666799380147249909 - 3.0953228536418210721e-1764j)  +/-  (1.6e-489, 1.6e-489j)
| (0.98705026263791286379 - 3.8483763029073676857e-1725j)  +/-  (2.57e-453, 2.57e-453j)
| (-0.37336145533262098419 + 3.5601425342248614388e-1760j)  +/-  (7.13e-486, 7.13e-486j)
| (-0.6927243535095993926 + 7.7579271165094345791e-1743j)  +/-  (3.48e-467, 3.48e-467j)
| (0.87591832556688785493 - 9.587671287709808179e-1732j)  +/-  (9.67e-458, 9.67e-458j)
| (0.25881904510252076235 + 1.6799406018763383713e-1768j)  +/-  (3.27e-493, 3.27e-493j)
| (0.74851074817110109863 - 1.6911882048803050127e-1738j)  +/-  (3.83e-464, 3.83e-464j)
| (-0.35460488704253562597 - 9.2826028093869646339e-1762j)  +/-  (5.36e-487, 5.36e-487j)
| (-0.31666799380147249909 - 5.1218654405613527009e-1764j)  +/-  (1.62e-489, 1.62e-489j)
| (-0.97556405084709386164 + 1.5135187223050780904e-1726j)  +/-  (1.4e-453, 1.4e-453j)
| (0.5 - 1.4983556309942575295e-1756j)  +/-  (2.61e-478, 2.61e-478j)
| (0.446798464501625768 - 5.0035602212619116975e-1759j)  +/-  (2.27e-481, 2.27e-481j)
| (0.86602540378443864676 + 1.8068008685057641211e-1735j)  +/-  (3.15e-458, 3.15e-458j)
| (-0.23931566428755776715 + 8.9761004757620828305e-1774j)  +/-  (1.29e-494, 1.29e-494j)
| (0.96592582628906828675 + 4.5741671929038522182e-1729j)  +/-  (6.97e-454, 6.97e-454j)
| (0.95472086650854562606 + 1.3760884006641744298e-1730j)  +/-  (2.69e-454, 2.69e-454j)
| (0.20002569377604442753 + 3.1853322937366854713e-1777j)  +/-  (4.32e-497, 4.32e-497j)
| (-0.91997944365882420313 + 1.4384513925047863132e-1734j)  +/-  (1e-455, 1e-455j)
| (-0.58452202960988882686 - 7.1718839123954603817e-1753j)  +/-  (3.47e-473, 3.47e-473j)
| (-0.42869256140305418307 - 5.7010162046902804704e-1763j)  +/-  (1.81e-482, 1.81e-482j)
| (-0.84519008554379475254 - 3.1842204825104479183e-1737j)  +/-  (3.31e-459, 3.31e-459j)
| (-0.14050247038509269848 - 1.7750657974250447783e-1781j)  +/-  (4.59e-501, 4.59e-501j)
| (0.48245941480719334593 + 4.2380123416229111498e-1760j)  +/-  (2.6e-479, 2.6e-479j)
| (0.97094181742605202716 - 1.43361288340001223e-1731j)  +/-  (1e-453, 1e-453j)
| (-0.20002569377604442753 - 4.1669807188985600307e-1777j)  +/-  (4.6e-497, 4.6e-497j)
| (-0.39196660986007507588 + 2.6467014978081683684e-1765j)  +/-  (9.18e-485, 9.18e-485j)
| (-0.91189984599209007718 + 5.9965923145699273907e-1734j)  +/-  (4.26e-456, 4.26e-456j)
| (0.18025503781390574017 + 2.1376832442032152143e-1779j)  +/-  (2.38e-498, 2.38e-498j)
| (-0.99675730813420998559 + 3.4718521298067167962e-1731j)  +/-  (1.83e-453, 1.83e-453j)
| (0.94853644194714552616 + 7.8741000180561760405e-1744j)  +/-  (1.6e-454, 1.6e-454j)
| (-0.21971523091221705855 - 6.9687998527538946167e-1787j)  +/-  (8.07e-496, 8.07e-496j)
| (-0.96592582628906828675 + 7.9036577731431177868e-1749j)  +/-  (6.83e-454, 6.83e-454j)
| (0.21971523091221705855 + 8.4818797041034993758e-1803j)  +/-  (7.73e-496, 7.73e-496j)
| (0.53446582612780109204 - 5.0875432766629614055e-1783j)  +/-  (4.6e-476, 4.6e-476j)
| (-0.27821746391645263455 - 9.7753580550926032361e-1801j)  +/-  (4.99e-492, 4.99e-492j)
| (-0.16041128085776024037 + 5.1688938572614883468e-1807j)  +/-  (1.02e-499, 1.02e-499j)
| (5.7576823592948155152e-1919 - 4.9351716000118362187e-1919j)  +/-  (1.18e-1916, 1.18e-1916j)
| (0.42869256140305418307 - 1.456226624093220015e-1789j)  +/-  (1.84e-482, 1.84e-482j)
| (0.14050247038509269848 - 9.35631048509790312e-1808j)  +/-  (4.58e-501, 4.58e-501j)
| (0.7071067811865475244 + 1.5652207221126582907e-1772j)  +/-  (2.87e-466, 2.87e-466j)
| (-0.46472317204376854566 + 3.6409962689686550056e-1788j)  +/-  (2.57e-480, 2.57e-480j)
| (-0.18025503781390574017 + 7.4910440829112655732e-1806j)  +/-  (2.31e-498, 2.31e-498j)
| (0.99675730813420998559 - 2.2586217524073045849e-1767j)  +/-  (1.77e-453, 1.77e-453j)
| (0.16041128085776024037 - 7.5177927875959438387e-1816j)  +/-  (1.03e-499, 1.03e-499j)
| (0.23931566428755776715 - 4.7186422474942711799e-1811j)  +/-  (1.31e-494, 1.31e-494j)
| (-0.7071067811865475244 + 2.9070910369295106511e-1780j)  +/-  (1.84e-466, 1.84e-466j)
| (-0.12053668025532305335 + 4.9715024109128051481e-1818j)  +/-  (1.39e-502, 1.39e-502j)
| (0.60074226423797891692 + 1.0475370748828361977e-1788j)  +/-  (3.14e-472, 3.14e-472j)
| (0.020137053265440332284 - 2.4018431055864415351e-1824j)  +/-  (1.38e-509, 1.38e-509j)
| (0.55137708972169170284 + 1.1031327300792811708e-1791j)  +/-  (4.35e-475, 4.35e-475j)
| (0.040265940109415143362 - 7.1141361802259400801e-1824j)  +/-  (6.71e-508, 6.71e-508j)
| (-0.29750305385520297665 - 3.0312699655604743979e-1806j)  +/-  (9.07e-491, 9.07e-491j)
| (-0.080466568716725880436 + 1.9920627090877691735e-1821j)  +/-  (4.55e-505, 4.55e-505j)
| (0.27821746391645263455 + 1.0457101662175530403e-1808j)  +/-  (4.96e-492, 4.96e-492j)
| (0.10052200743551707078 - 1.3584752971692276414e-1819j)  +/-  (7.95e-504, 7.95e-504j)
| (0.080466568716725880436 - 1.3824499722934475573e-1820j)  +/-  (4.46e-505, 4.46e-505j)
| (-0.020137053265440332284 + 2.7052362087040323596e-1824j)  +/-  (1.31e-509, 1.31e-509j)
| (-0.10052200743551707078 + 3.2844177577300970628e-1819j)  +/-  (7.88e-504, 7.88e-504j)
| (-0.040265940109415143362 - 1.4385544083251501628e-1823j)  +/-  (6.16e-508, 6.16e-508j)
| (0.060378497422286053438 - 1.4858300076666106882e-1822j)  +/-  (1.67e-506, 1.67e-506j)
| (0.12053668025532305335 - 3.0316862061733667991e-1818j)  +/-  (1.38e-502, 1.38e-502j)
| (-0.86602540378443864676 - 1.2561771579156950381e-1815j)  +/-  (3.22e-458, 3.22e-458j)
| (-0.060378497422286053438 - 1.4869698311490613637e-1866j)  +/-  (1.82e-506, 1.82e-506j)
-------------------------------------------------
The weights are:
| (0.00012654451400201186397 + 1.1854390034202505258e-1552j)  +/-  (8.46e-43, 1.04e-253j)
| (0.00080605529432339391463 - 1.8227979262307333751e-1552j)  +/-  (4.15e-43, 5.12e-254j)
| (0.00072241999414213274657 + 1.869689989178218458e-1552j)  +/-  (4.13e-43, 5.1e-254j)
| (0.00025647614211915319509 - 1.6212549321621431289e-1554j)  +/-  (4.71e-45, 5.81e-256j)
| (0.001079735069741041018 + 7.0689244802966028287e-1554j)  +/-  (2.09e-45, 2.58e-256j)
| (0.00080605529432339391463 - 5.2138008025600814339e-1554j)  +/-  (2.23e-45, 2.76e-256j)
| (0.00025647614211915319509 - 3.1037547413798302922e-1552j)  +/-  (1.67e-45, 2.06e-256j)
| (0.0011780596936045601352 - 1.6933301360402430024e-1552j)  +/-  (1.85e-45, 2.28e-256j)
| (0.00056735940418699873532 + 1.9979965598867457913e-1552j)  +/-  (4.34e-45, 5.36e-256j)
| (0.00072241999414213274657 + 4.6560114406808126113e-1554j)  +/-  (2.88e-46, 3.55e-257j)
| (0.0013844078630411672996 - 9.191379350695130303e-1554j)  +/-  (5.74e-47, 7.08e-258j)
| (0.005130584180249932426 + 1.1759361209834795347e-1552j)  +/-  (5.68e-49, 7.01e-260j)
| (0.0013844078630411672996 - 1.6476827784569709504e-1552j)  +/-  (1.74e-46, 2.14e-257j)
| (0.0012796722300064778304 + 1.6694927415277193667e-1552j)  +/-  (4.51e-46, 5.57e-257j)
| (0.00012654451400201186397 + 7.9576533235747424606e-1555j)  +/-  (5.92e-50, 7.31e-261j)
| (0.0017156308588340751742 + 1.1573556446359058865e-1553j)  +/-  (8.94e-49, 1.1e-259j)
| (0.0011780596936045601352 - 7.747062365842513993e-1554j)  +/-  (2.05e-47, 2.54e-258j)
| (0.00064281165575800913531 - 1.9267206191533134678e-1552j)  +/-  (8.88e-47, 1.1e-257j)
| (0.0025640202122562678605 - 1.4817192979342620943e-1552j)  +/-  (8.89e-51, 1.1e-261j)
| (0.00089358189953905598945 + 1.7833271879622443492e-1552j)  +/-  (5.38e-47, 6.64e-258j)
| (0.0012796722300064778304 + 8.4546413012989053429e-1554j)  +/-  (7.1e-49, 8.77e-260j)
| (0.00231340556437034412 - 1.6097431629483142572e-1553j)  +/-  (4.15e-52, 5.12e-263j)
| (6.4773551146577879902e-05 + 4.0632729686318881508e-1555j)  +/-  (1.33e-53, 1.64e-264j)
| (0.0020685740799918729937 - 1.5415085714185727621e-1552j)  +/-  (1.03e-50, 1.27e-261j)
| (0.0019488249683971952696 + 1.5573279540134547878e-1552j)  +/-  (1.63e-50, 2.02e-261j)
| (6.4773551146577879902e-05 - 1.6614783510724399576e-1552j)  +/-  (5.98e-53, 7.38e-264j)
| (0.0026909894844302556398 + 1.9128081977032824067e-1553j)  +/-  (4e-54, 4.94e-265j)
| (0.0018311135852466212081 - 1.2423882673849790925e-1553j)  +/-  (5.59e-52, 6.9e-263j)
| (0.00036712812290637853878 - 2.388645157034846198e-1552j)  +/-  (1.4e-51, 1.73e-262j)
| (0.0035914637187670610684 - 1.367798345839097747e-1552j)  +/-  (9.65e-56, 1.19e-266j)
| (0.0017156308588340751742 + 1.5907173224609619743e-1552j)  +/-  (2.26e-51, 2.79e-262j)
| (0.0019488249683971952696 + 1.3301787817736775495e-1553j)  +/-  (4.03e-53, 4.98e-264j)
| (0.0029472225361643401268 + 2.1273762575142466693e-1553j)  +/-  (5.4e-56, 6.67e-267j)
| (1.0393243159583379534e-05 + 1.4208172787384613514e-1553j)  +/-  (9.18e-55, 1.13e-265j)
| (0.0030760707047775155661 - 1.424568567368606957e-1552j)  +/-  (1.36e-55, 1.68e-266j)
| (0.0021901666865337419901 + 1.5261200091640223245e-1552j)  +/-  (8.7e-53, 1.07e-263j)
| (1.0393243159583379534e-05 - 6.5057837323788448715e-1556j)  +/-  (1.92e-59, 2.37e-270j)
| (0.0038462361980001423959 - 2.9517969891121385749e-1553j)  +/-  (3.36e-60, 4.14e-271j)
| (0.00098485784131538656217 - 6.4204979151153229547e-1554j)  +/-  (1.11e-54, 1.37e-265j)
| (0.00231340556437034412 - 1.5110728926622816578e-1552j)  +/-  (1.11e-53, 1.38e-264j)
| (0.0040968508458860661364 - 1.3102839107903483677e-1552j)  +/-  (1.59e-59, 1.97e-270j)
| (9.3135200557525553984e-05 + 4.4120494357314836335e-1552j)  +/-  (4.63e-55, 5.72e-266j)
| (0.0025640202122562678605 - 1.8092404922108207777e-1553j)  +/-  (4.77e-57, 5.89e-268j)
| (0.0034630338740920701296 + 2.5850325648446049804e-1553j)  +/-  (5.16e-60, 6.37e-271j)
| (2.3368993275467971792e-05 + 1.4635576959038452872e-1555j)  +/-  (7.45e-60, 9.2e-271j)
| (0.0037192669258261546166 + 1.3535177958766075706e-1552j)  +/-  (1.57e-58, 1.93e-269j)
| (0.0024380908195911610027 + 1.4962931933446511663e-1552j)  +/-  (1.61e-54, 1.99e-265j)
| (0.00089358189953905598945 + 5.8020411581054391363e-1554j)  +/-  (1.44e-56, 1.78e-267j)
| (0.0046946255514223350822 + 3.8780137130597313198e-1553j)  +/-  (1.11e-64, 1.37e-275j)
| (0.0024380908195911610027 + 1.7082054458099468293e-1553j)  +/-  (1.62e-57, 2e-268j)
| (0.002818792691489349188 - 1.4529912970958808499e-1552j)  +/-  (1.44e-57, 1.77e-268j)
| (0.0045791428250097890483 - 1.2514939969312220782e-1552j)  +/-  (6.92e-63, 8.54e-274j)
| (0.00030945373522313373392 + 1.9603467657243802722e-1554j)  +/-  (1.4e-60, 1.73e-271j)
| (0.0035914637187670610684 - 2.7051255262388816267e-1553j)  +/-  (8.69e-62, 1.07e-272j)
| (0.0037192669258261546166 + 2.827396425846363569e-1553j)  +/-  (3.3e-62, 4.07e-273j)
| (2.5993648347126996766e-06 + 1.6266083808609231861e-1556j)  +/-  (5.86e-61, 7.24e-272j)
| (0.0044614314418592149868 + 1.2663259410525765556e-1552j)  +/-  (8.91e-65, 1.1e-275j)
| (0.0026909894844302556398 + 1.4672997200983921989e-1552j)  +/-  (2.3e-59, 2.83e-270j)
| (0.0021901666865337419901 + 1.513892744425730051e-1553j)  +/-  (1.67e-59, 2.06e-270j)
| (0.0053305213405153692384 + 4.7394813935003456725e-1553j)  +/-  (4.13e-70, 5.09e-281j)
| (9.3135200557525553984e-05 - 5.8489704745290977812e-1555j)  +/-  (5.79e-61, 7.15e-272j)
| (0.0034630338740920701296 + 1.3820296436028597542e-1552j)  +/-  (3.39e-63, 4.18e-274j)
| (0.0043416823302645372627 - 1.2810665112754680411e-1552j)  +/-  (2.42e-65, 2.99e-276j)
| (0.00020828127344418325821 + 1.3140477640739625493e-1554j)  +/-  (1.76e-61, 2.18e-272j)
| (0.0042200897237226682663 + 3.3372820101948601131e-1553j)  +/-  (1.48e-67, 1.83e-278j)
| (0.0039721655906652492537 + 3.0782781386461486336e-1553j)  +/-  (5.19e-66, 6.41e-277j)
| (0.00049618562325706810084 - 3.1675131334461508671e-1554j)  +/-  (5.42e-63, 6.7e-274j)
| (0.0053305213405153692384 + 1.1450721128582817975e-1552j)  +/-  (4.04e-72, 4.99e-283j)
| (0.0029472225361643401268 + 1.4387577564120700967e-1552j)  +/-  (1.42e-63, 1.75e-274j)
| (0.0033341857054788946903 - 2.4671649910669993253e-1553j)  +/-  (1.33e-64, 1.64e-275j)
| (0.0054253985689410236942 - 4.8882226108159971291e-1553j)  +/-  (6.84e-73, 8.44e-284j)
| (0.00020828127344418325821 + 4.0145005642898569674e-1552j)  +/-  (1.84e-67, 2.27e-278j)
| (0.0039721655906652492537 + 1.324768473479123669e-1552j)  +/-  (3.73e-67, 4.61e-278j)
| (0.0049181596991275676027 + 1.2064386467302632951e-1552j)  +/-  (2.97e-71, 3.66e-282j)
| (2.3368993275467971792e-05 - 3.5946212046000443451e-1553j)  +/-  (8.78e-69, 1.08e-279j)
| (0.0050258485472152429568 - 4.3017699349636094849e-1553j)  +/-  (1.38e-74, 1.7e-285j)
| (0.0058428970060694115211 + 5.6506055049643469042e-1553j)  +/-  (3.01e-78, 3.72e-289j)
| (2.5993648347126996766e-06 - 3.3310532886210202147e-1554j)  +/-  (2.88e-69, 3.56e-280j)
| (0.0056878364161142775098 + 1.0823356829484646727e-1552j)  +/-  (2.5e-78, 3.09e-289j)
| (0.0014920967111288426537 + 1.6274869524612990698e-1552j)  +/-  (2.91e-68, 3.59e-279j)
| (0.0030760707047775155661 - 2.2382915478121482842e-1553j)  +/-  (3.67e-70, 4.53e-281j)
| (0.0056042011159330163418 - 5.1896157453374623272e-1553j)  +/-  (1.6e-78, 1.97e-289j)
| (0.00016494730145145664691 - 6.778527209229582449e-1552j)  +/-  (2.15e-68, 2.65e-279j)
| (0.0046946255514223350822 + 1.2365691800688043678e-1552j)  +/-  (2.95e-73, 3.64e-284j)
| (0.0038462361980001423959 - 1.3391774083693918741e-1552j)  +/-  (3.36e-70, 4.14e-281j)
| (0.00049618562325706810084 - 2.0900145329301339512e-1552j)  +/-  (3.36e-69, 4.15e-280j)
| (0.005516674510717354267 + 5.038286756917772999e-1553j)  +/-  (2.62e-78, 3.24e-289j)
| (0.0043416823302645372627 - 3.4697027711426127544e-1553j)  +/-  (1.28e-75, 1.59e-286j)
| (0.0020685740799918729937 - 1.4206922700466004334e-1553j)  +/-  (2.97e-71, 3.67e-282j)
| (0.005980850653155252073 + 1.0184330814621626507e-1552j)  +/-  (3.74e-83, 4.62e-294j)
| (0.0048076923076923076923 - 1.2215507509784964089e-1552j)  +/-  (1.36e-74, 1.67e-285j)
| (0.0056878364161142775098 + 5.3421511170291960327e-1553j)  +/-  (5.56e-80, 6.86e-291j)
| (0.0057674447544984011211 - 5.4958340725421155473e-1553j)  +/-  (1.03e-80, 1.27e-291j)
| (0.00016494730145145664691 - 1.0388479312930790181e-1554j)  +/-  (1.68e-74, 2.08e-285j)
| (0.005516674510717354267 + 1.1138641908782569509e-1552j)  +/-  (2.06e-81, 2.54e-292j)
| (0.0033341857054788946903 - 1.3962244426350299925e-1552j)  +/-  (5.44e-74, 6.72e-285j)
| (0.0014920967111288426537 + 9.9569830349155156757e-1554j)  +/-  (3.25e-74, 4.02e-285j)
| (0.005980850653155252073 + 5.9631760389852149114e-1553j)  +/-  (1.67e-84, 2.06e-295j)
| (0.002818792691489349188 - 2.0188674720389963739e-1553j)  +/-  (3.67e-74, 4.53e-285j)
| (0.0056042011159330163418 - 1.0981383567267178157e-1552j)  +/-  (3.9e-82, 4.81e-293j)
| (0.0057674447544984011211 - 1.0664598176601379922e-1552j)  +/-  (1.17e-83, 1.44e-294j)
| (0.00030945373522313373392 + 2.6544992013318266015e-1552j)  +/-  (3.17e-76, 3.91e-287j)
| (0.0048076923076923076923 - 4.0176222813428791791e-1553j)  +/-  (4.22e-81, 5.21e-292j)
| (0.005130584180249932426 + 4.4461980402834165773e-1553j)  +/-  (1.55e-81, 1.91e-292j)
| (0.0016025641025641025641 - 1.0751147459287081145e-1553j)  +/-  (5.96e-76, 7.36e-287j)
| (0.0060431282873500317176 - 1.0023054930374127482e-1552j)  +/-  (1.54e-88, 1.9e-299j)
| (0.00042940575710115818345 + 2.7336302142561845392e-1554j)  +/-  (5.24e-79, 6.47e-290j)
| (0.00056735940418699873532 + 3.6326634590042637344e-1554j)  +/-  (7.94e-79, 9.81e-290j)
| (0.0061537802681372570613 - 6.4387038840617201787e-1553j)  +/-  (3.36e-91, 4.15e-302j)
| (0.00098485784131538656217 - 1.7494122796711210892e-1552j)  +/-  (8.21e-81, 1.01e-291j)
| (0.0042200897237226682663 + 1.2957180613724621206e-1552j)  +/-  (2.94e-81, 3.63e-292j)
| (0.0052321967166518501212 - 1.1605483528482387462e-1552j)  +/-  (4.66e-85, 5.76e-296j)
| (0.0018311135852466212081 - 1.5736866687331884071e-1552j)  +/-  (1.02e-80, 1.26e-291j)
| (0.0062837118962543983924 + 9.2099060477941393121e-1553j)  +/-  (1.3e-94, 1.61e-305j)
| (0.0049181596991275676027 + 4.1588927601106831069e-1553j)  +/-  (5.29e-86, 6.53e-297j)
| (0.00036712812290637853878 - 2.3311878761842827347e-1554j)  +/-  (4.7e-81, 5.8e-292j)
| (0.0061537802681372570613 - 9.6990004653388703849e-1553j)  +/-  (6.25e-93, 7.72e-304j)
| (0.0054253985689410236942 - 1.1295098049439791884e-1552j)  +/-  (1.62e-86, 1.99e-297j)
| (0.001079735069741041018 + 1.7197328379243557131e-1552j)  +/-  (4.44e-82, 5.48e-293j)
| (0.0062019751368122269982 + 6.5987520813165592022e-1553j)  +/-  (1.57e-95, 1.94e-306j)
| (4.1505568468228000671e-05 + 7.7404890372113720298e-1553j)  +/-  (6.92e-83, 8.54e-294j)
| (0.00064281165575800913531 - 4.1288955623111751623e-1554j)  +/-  (3.91e-83, 4.82e-294j)
| (0.0061008026750332765225 + 9.861262066330587211e-1553j)  +/-  (7.48e-93, 9.23e-304j)
| (0.00042940575710115818345 + 2.2136650116473083514e-1552j)  +/-  (1.88e-82, 2.32e-293j)
| (0.0061008026750332765225 + 6.2793850192575811101e-1553j)  +/-  (1.1e-94, 1.36e-305j)
| (0.0045791428250097890483 - 3.7401216908385507974e-1553j)  +/-  (3.55e-89, 4.38e-300j)
| (0.0059140707869993421556 - 1.0345043017721649005e-1552j)  +/-  (8.71e-92, 1.07e-302j)
| (0.0062453091088049536095 - 9.3732709368470951973e-1553j)  +/-  (1.38e-95, 1.7e-306j)
| (0.0064102564102564102564 - 8.0620797559398317414e-1553j)  +/-  (6.72e-100, 8.3e-311j)
| (0.0052321967166518501212 - 4.59212078742302889e-1553j)  +/-  (3.2e-91, 3.94e-302j)
| (0.0062837118962543983924 + 6.9207954163172004526e-1553j)  +/-  (1.19e-98, 1.47e-309j)
| (0.0032051282051282051282 + 2.351569407340832557e-1553j)  +/-  (1.19e-89, 1.47e-300j)
| (0.0050258485472152429568 - 1.1912334089506649358e-1552j)  +/-  (2.31e-90, 2.86e-301j)
| (0.0062019751368122269982 + 9.5363197774946199508e-1553j)  +/-  (5.76e-96, 7.1e-307j)
| (4.1505568468228000671e-05 - 2.6012740493838154319e-1555j)  +/-  (1.25e-89, 1.55e-300j)
| (0.0062453091088049536095 - 6.7594693492805250613e-1553j)  +/-  (5.91e-98, 7.3e-309j)
| (0.0060431282873500317176 - 6.1208556976180728241e-1553j)  +/-  (3.86e-96, 4.76e-307j)
| (0.0032051282051282051282 + 1.4103980141945173202e-1552j)  +/-  (1.01e-90, 1.24e-301j)
| (0.0063171212096988847024 - 9.046278280064463751e-1553j)  +/-  (3.81e-99, 4.7e-310j)
| (0.0040968508458860661364 - 3.2067900170410447735e-1553j)  +/-  (5.44e-93, 6.71e-304j)
| (0.0064076570454216975567 + 7.8981711912450201465e-1553j)  +/-  (1.19e-101, 1.47e-312j)
| (0.0044614314418592149868 + 3.604000244401894313e-1553j)  +/-  (2.87e-94, 3.54e-305j)
| (0.0063998631670968268769 - 7.7344530278269557515e-1553j)  +/-  (6.53e-102, 8.06e-313j)
| (0.0058428970060694115211 + 1.0505146526478484365e-1552j)  +/-  (5.17e-97, 6.38e-308j)
| (0.0063687508417881822557 - 8.7184515365798329916e-1553j)  +/-  (6.25e-102, 7.72e-313j)
| (0.0059140707869993421556 - 5.8064060336798918899e-1553j)  +/-  (3.7e-98, 4.57e-309j)
| (0.0063454828591098323765 + 7.245033068257286945e-1553j)  +/-  (2.39e-102, 2.95e-313j)
| (0.0063687508417881822557 - 7.4078244508376404789e-1553j)  +/-  (1.16e-102, 1.43e-313j)
| (0.0064076570454216975567 + 8.2261200478986441902e-1553j)  +/-  (1.57e-103, 1.93e-314j)
| (0.0063454828591098323765 + 8.8824417713259662252e-1553j)  +/-  (3.49e-103, 4.3e-314j)
| (0.0063998631670968268769 - 8.3902338338051758472e-1553j)  +/-  (4.3e-104, 5.33e-315j)
| (0.0063868874169809422846 + 7.5709843209979252992e-1553j)  +/-  (3.76e-104, 4.73e-315j)
| (0.0063171212096988847024 - 7.0826700434215469406e-1553j)  +/-  (4.2e-104, 5.33e-315j)
| (0.0016025641025641025641 - 1.6085831783345556754e-1552j)  +/-  (5.69e-105, 8.26e-316j)
| (0.0063868874169809422846 + 8.5543633836046552297e-1553j)  +/-  (2.71e-104, 3.3e-315j)
