Starting with polynomial:
P : 2*t
Extension levels are: 1 48 100
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 100 Kronrod extension for:
P2 : 2*t^49 - 24*t^47 + 1081/8*t^45 - 3795/8*t^43 + 148995/128*t^41 - 135751/64*t^39 + 3048227/1024*t^37 - 3372291/1024*t^35 + 95548245/32768*t^33 - 8544965/4096*t^31 + 158936349/131072*t^29 - 75207643/131072*t^27 + 463120749/2097152*t^25 - 72212175/1048576*t^23 + 289994925/16777216*t^21 - 57998985/16777216*t^19 + 583401555/1073741824*t^17 - 17678835/268435456*t^15 + 206253075/34359738368*t^13 - 13656825/34359738368*t^11 + 10015005/549755813888*t^9 - 148005/274877906944*t^7 + 40365/4398046511104*t^5 - 325/4398046511104*t^3 + 25/140737488355328*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^149 - 74*t^147 + 10731/8*t^145 - 31755/2*t^143 + 4416555/32*t^141 - 30063033/32*t^139 + 10679057389/2048*t^137 - 24846677981/1024*t^135 + 3165326793495/32768*t^133 - 10947690541095/32768*t^131 + 532683342613851/524288*t^129 - 44941890907251/16384*t^127 + 1737101783328093/262144*t^125 - 3779488720042875/262144*t^123 + 238298351819173875/8388608*t^121 - 213585930149037325/4194304*t^119 + 22381892769796881475/268435456*t^117 - 33587687823052109175/268435456*t^115 + 741304019124937965125/4294967296*t^113 - 235585166383216524875/1073741824*t^111 + 4425376740829344259575/17179869184*t^109 - 4807635196847825823525/17179869184*t^107 + 2478554472847638204110025/8796093022208*t^105 - 1158242675603227027939125/4398046511104*t^103 + 32191792460019849617800125/140737488355328*t^101 - 26010968307696038491182501/140737488355328*t^99 + 313099769877502438512968517/2251799813685248*t^97 - 27435119853764892986231207/281474976710656*t^95 + 286880117440422124551574565/4503599627370496*t^93 - 174875055914808470907899115/4503599627370496*t^91 + 3182726017649514170523763893/144115188075855872*t^89 - 844643201756268466506577623/72057594037927936*t^87 + 53556105385935598867815370977/9223372036854775808*t^85 - 24759815621314437705011768245/9223372036854775808*t^83 + 170908017361730287038854051395/147573952589676412928*t^81 - 17196955784223792857325687159/36893488147419103232*t^79 + 103282301698232954763002811183/590295810358705651712*t^77 - 36140159623179816507599405109/590295810358705651712*t^75 + 754052202664090156455551497575/37778931862957161709568*t^73 - 114440355082076052850842534975/18889465931478580854784*t^71 + 1034124663196214513943067997865/604462909807314587353088*t^69 - 271431691637762279000944005705/604462909807314587353088*t^67 + 1058439982735612696421670540765/9671406556917033397649408*t^65 - 14952966502459210012477414725/604462909807314587353088*t^63 + 50091155367586341602690207475/9671406556917033397649408*t^61 - 9700191991818307421473341765/9671406556917033397649408*t^59 + 55508456515053926415186915585/309485009821345068724781056*t^57 - 4575061794981722090406853815/154742504910672534362390528*t^55 + 44405011539528479112772404675/9903520314283042199192993792*t^53 - 6182067680488002042574295175/9903520314283042199192993792*t^51 + 12611418068195524166851562157/158456325028528675187087900672*t^49 - 367177353144135878892291471/39614081257132168796771975168*t^47 + 623106308867834984431031523/633825300114114700748351602688*t^45 - 59995647323395899103940985/633825300114114700748351602688*t^43 + 668840364605265393714305055/81129638414606681695789005144064*t^41 - 26241583683077398222283739/40564819207303340847894502572032*t^39 + 59103384526323258610067631/1298074214633706907132624082305024*t^37 - 3712776277544924564639223/1298074214633706907132624082305024*t^35 + 3311996829294198074903055/20769187434139310514121985316880384*t^33 - 20356843987094158404135/2596148429267413814265248164610048*t^31 + 14023603635553753567293/41538374868278621028243970633760768*t^29 - 524367570089779328451/41538374868278621028243970633760768*t^27 + 539744918186253795561/1329227995784915872903807060280344576*t^25 - 7385672115301776075/664613997892457936451903530140172288*t^23 + 43455233608636031325/170141183460469231731687303715884105728*t^21 - 825846068580413265/170141183460469231731687303715884105728*t^19 + 203780198740621455/2722258935367507707706996859454145691648*t^17 - 622956910374135/680564733841876926926749214863536422912*t^15 + 93845732552775/10889035741470030830827987437816582766592*t^13 - 654854816525/10889035741470030830827987437816582766592*t^11 + 205811513765/696898287454081973172991196020261297061888*t^9 - 330237765/348449143727040986586495598010130648530944*t^7 + 19757815/11150372599265311570767859136324180752990208*t^5 - 17575/11150372599265311570767859136324180752990208*t^3 + 75/178405961588244985132285746181186892047843328*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 0
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 0
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   149 out of 149
Indefinite weights: 0 out of 149
Negative weights:   0 out of 149
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.99452189536827333692 + 4.9493822167193624691e-1700j)  +/-  (1.24e-455, 1.24e-455j)
| (-0.93728198949189150231 - 6.3367537885165286947e-1703j)  +/-  (3.55e-457, 3.55e-457j)
| (-0.92977648588825140366 + 5.3091980692515204927e-1703j)  +/-  (1.72e-457, 1.72e-457j)
| (0.98927233296298832278 + 5.967361700618709132e-1700j)  +/-  (1.48e-455, 1.48e-455j)
| (0.92186315158850052979 + 6.9452766852764428629e-1705j)  +/-  (8e-458, 8e-458j)
| (0.92977648588825140366 - 7.1389874446253904139e-1704j)  +/-  (1.74e-457, 1.74e-457j)
| (0.97814760073380563793 + 4.2675589051646686151e-1700j)  +/-  (9.7e-456, 9.7e-456j)
| (-0.90482705246601952771 - 1.4397372616379490144e-1704j)  +/-  (1.58e-458, 1.58e-458j)
| (-0.9135454576426008955 + 2.2049156206024765294e-1704j)  +/-  (3.53e-458, 3.53e-458j)
| (0.95731949753206726492 + 1.9917051150110701161e-1703j)  +/-  (1.97e-456, 1.97e-456j)
| (0.87630668004386358731 - 6.3981082924583059427e-1707j)  +/-  (8.62e-460, 8.62e-460j)
| (-0.96316256679765815841 + 2.8650389536433337862e-1700j)  +/-  (3.19e-456, 3.19e-456j)
| (-0.8862035792312147081 + 6.3299968426053644968e-1711j)  +/-  (2.32e-459, 2.32e-459j)
| (-0.87630668004386358731 + 1.6538165917286182402e-1712j)  +/-  (8.33e-460, 8.33e-460j)
| (0.99649285924950433832 + 3.2959382131245849533e-1706j)  +/-  (9.71e-456, 9.71e-456j)
| (0.86602540378443864676 + 1.9586354386561790675e-1713j)  +/-  (2.76e-460, 2.76e-460j)
| (0.89571176023941286035 + 1.2625242335306573348e-1712j)  +/-  (6.4e-459, 6.4e-459j)
| (0.95105651629515357212 - 1.442956193201942801e-1709j)  +/-  (1.17e-456, 1.17e-456j)
| (-0.7705132427757892308 - 2.5346749201067835159e-1717j)  +/-  (7.62e-465, 7.62e-465j)
| (-0.89571176023941286035 - 1.5113464972981867578e-1710j)  +/-  (6.32e-459, 6.32e-459j)
| (0.90482705246601952771 + 1.8531876742304949581e-1711j)  +/-  (1.61e-458, 1.61e-458j)
| (0.79652991802419628442 - 1.5274985891590075149e-1716j)  +/-  (1.56e-463, 1.56e-463j)
| (-0.99211470131447783105 + 1.5046324475901180473e-1705j)  +/-  (1.5e-455, 1.5e-455j)
| (-0.84432792550201507855 - 2.6212898341431064223e-1732j)  +/-  (2.96e-461, 2.96e-461j)
| (-0.83292124071009948428 + 3.1110579302862058102e-1733j)  +/-  (7.8e-462, 7.8e-462j)
| (-0.99649285924950433832 + 7.2840979049419756817e-1725j)  +/-  (9.99e-456, 9.99e-456j)
| (0.75699505565175642512 + 4.6647373805385309105e-1758j)  +/-  (1.57e-465, 1.57e-465j)
| (0.85536426016050662785 - 4.2362638296162083528e-1754j)  +/-  (9.22e-461, 9.22e-461j)
| (-0.92186315158850052979 + 5.3303008369098166641e-1749j)  +/-  (7.94e-458, 7.94e-458j)
| (-0.6534206039901054366 - 5.119103241743598365e-1763j)  +/-  (7.15e-471, 7.15e-471j)
| (0.96858316112863111949 - 7.1505145640775714541e-1749j)  +/-  (4.78e-456, 4.78e-456j)
| (0.84432792550201507855 + 2.1459136710719870236e-1754j)  +/-  (2.86e-461, 2.86e-461j)
| (0.71447267963280337017 + 1.0526684679923776325e-1760j)  +/-  (1.3e-467, 1.3e-467j)
| (-0.99978068347484548461 - 5.8874386985141565922e-1745j)  +/-  (8.77e-457, 8.77e-457j)
| (-0.72896862742141152315 - 1.3088847912633744918e-1775j)  +/-  (6.66e-467, 6.66e-467j)
| (-0.78369345732583978928 - 6.6502020269993914515e-1773j)  +/-  (3.27e-464, 3.27e-464j)
| (0.99912283009885835015 - 5.0410849831711989394e-1761j)  +/-  (3.21e-456, 3.21e-456j)
| (0.63742398974868971018 - 3.2783249960418551202e-1782j)  +/-  (9.87e-472, 9.87e-472j)
| (0.83292124071009948428 + 1.3828680253439610546e-1773j)  +/-  (7.7e-462, 7.7e-462j)
| (-0.82114920913370403661 + 2.608883008576852438e-1772j)  +/-  (2.21e-462, 2.21e-462j)
| (-0.60459911486237485817 + 4.1294952667672016332e-1783j)  +/-  (1.55e-473, 1.55e-473j)
| (-0.94437637023748105566 - 2.3248694775366191585e-1763j)  +/-  (6.64e-457, 6.64e-457j)
| (0.78369345732583978928 + 1.5163338464029525176e-1777j)  +/-  (3.32e-464, 3.32e-464j)
| (0.6534206039901054366 + 6.0752227434030511494e-1784j)  +/-  (6.52e-471, 6.52e-471j)
| (0.99802672842827156195 + 3.8427044943245636904e-1769j)  +/-  (6.38e-456, 6.38e-456j)
| (-0.63742398974868971018 + 7.8882649154336252941e-1785j)  +/-  (1.02e-471, 1.02e-471j)
| (-0.75699505565175642512 + 1.6088599060438542611e-1777j)  +/-  (1.64e-465, 1.64e-465j)
| (-0.62114778027831036363 + 1.0364671005449897409e-1784j)  +/-  (1.26e-472, 1.26e-472j)
| (0.51802700937313020963 + 1.0631811232729769973e-1791j)  +/-  (2.63e-478, 2.63e-478j)
| (0.7705132427757892308 - 4.8636601810782803382e-1778j)  +/-  (7.54e-465, 7.54e-465j)
| (-0.74314482547739423501 - 1.2261318773882001964e-1778j)  +/-  (3.3e-466, 3.3e-466j)
| (-0.53582679497899661827 + 6.5624962133451299919e-1790j)  +/-  (2.49e-477, 2.49e-477j)
| (-0.98927233296298832278 + 3.2790965316191696788e-1767j)  +/-  (1.44e-455, 1.44e-455j)
| (0.69966334051336541372 - 6.2638078117211382537e-1801j)  +/-  (1.61e-468, 1.61e-468j)
| (0.62114778027831036363 - 1.3767131518134302852e-1805j)  +/-  (1.21e-472, 1.21e-472j)
| (0.99978068347484548461 + 9.9875195703438975652e-1786j)  +/-  (8.95e-457, 8.95e-457j)
| (-0.51802700937313020963 + 1.3429741914724244594e-1818j)  +/-  (2.57e-478, 2.57e-478j)
| (-0.71447267963280337017 + 4.0598257325124858944e-1808j)  +/-  (1.3e-467, 1.3e-467j)
| (0.82114920913370403661 + 8.1311358108748475548e-1804j)  +/-  (2.22e-462, 2.22e-462j)
| (0.42577929156507264886 + 1.2658654156050219767e-1824j)  +/-  (9.93e-484, 9.93e-484j)
| (-0.96858316112863111949 - 2.0335486038358761047e-1793j)  +/-  (4.8e-456, 4.8e-456j)
| (-0.69966334051336541372 - 1.4293442952365558335e-1852j)  +/-  (1.58e-468, 1.58e-468j)
| (-0.5 + 2.9025919851578863171e-1866j)  +/-  (1.46e-479, 1.46e-479j)
| (-0.99452189536827333692 - 2.2083765708630868537e-1839j)  +/-  (1.2e-455, 1.2e-455j)
| (0.57071356768443168945 + 9.4317872037815891977e-1892j)  +/-  (2.13e-475, 2.13e-475j)
| (0.58778525229247312917 + 2.6351711775843968052e-1891j)  +/-  (1.86e-474, 1.86e-474j)
| (-0.99912283009885835015 - 5.3726470231757460814e-1869j)  +/-  (3.14e-456, 3.14e-456j)
| (-0.40673664307580020775 + 7.4563769342088365982e-1923j)  +/-  (7.61e-485, 7.61e-485j)
| (-0.8090169943749474241 + 7.1082058910328750741e-1900j)  +/-  (6.03e-463, 6.03e-463j)
| (0.74314482547739423501 - 1.7167168088977414385e-1904j)  +/-  (3.52e-466, 3.52e-466j)
| (0.38751558645210297288 - 3.2073612508744519184e-1923j)  +/-  (5.36e-486, 5.36e-486j)
| (0.97357890287316026566 + 1.2368531701670133547e-1890j)  +/-  (6.84e-456, 6.84e-456j)
| (-0.58778525229247312917 - 2.1867851029196183236e-1911j)  +/-  (1.8e-474, 1.8e-474j)
| (-0.46329603511986173188 - 3.5027104513235708522e-1918j)  +/-  (1.4e-481, 1.4e-481j)
| (-0.99802672842827156195 + 2.5013406287087012621e-1890j)  +/-  (6.83e-456, 6.83e-456j)
| (0.48175367410171527499 + 1.0474078514823308274e-1922j)  +/-  (1.49e-480, 1.49e-480j)
| (0.68454710592868867373 + 4.0400416106242756908e-1913j)  +/-  (2.83e-469, 2.83e-469j)
| (-0.95105651629515357212 + 3.023123226592561317e-1898j)  +/-  (1.22e-456, 1.22e-456j)
| (-0.3090169943749474241 - 6.3308864686715331033e-1934j)  +/-  (7.34e-491, 7.34e-491j)
| (0.99211470131447783105 - 6.812328404494430826e-1896j)  +/-  (1.36e-455, 1.36e-455j)
| (0.8862035792312147081 + 7.6474150324272422422e-1903j)  +/-  (2.3e-459, 2.3e-459j)
| (0.36812455268467795916 + 6.5395879044242490954e-1931j)  +/-  (3.91e-487, 3.91e-487j)
| (-0.98599603707050492781 - 1.7275777161470740851e-1896j)  +/-  (1.39e-455, 1.39e-455j)
| (-0.48175367410171527499 + 2.0236681611838484774e-1924j)  +/-  (1.54e-480, 1.54e-480j)
| (-0.42577929156507264886 - 2.0951620010297288895e-1927j)  +/-  (1.02e-483, 1.02e-483j)
| (-0.98228725072868868109 - 9.7986069810148621347e-1897j)  +/-  (1.18e-455, 1.18e-455j)
| (0.34857204732181521764 - 1.3555765824989383131e-1934j)  +/-  (2e-488, 2e-488j)
| (0.55339154924334407798 + 5.6802814887760704862e-1922j)  +/-  (2.43e-476, 2.43e-476j)
| (-0.79652991802419628442 + 3.2658195616223731887e-1909j)  +/-  (1.55e-463, 1.55e-463j)
| (-0.28903179694447159192 - 2.5876980906358060966e-1938j)  +/-  (4.38e-492, 4.38e-492j)
| (0.3090169943749474241 - 1.9760961307889886515e-1936j)  +/-  (7.48e-491, 7.48e-491j)
| (0.60459911486237485817 - 6.3051247601302748608e-1920j)  +/-  (1.57e-473, 1.57e-473j)
| (0.32886664673858324449 - 8.4072033907924734176e-1935j)  +/-  (1.24e-489, 1.24e-489j)
| (0.98228725072868868109 - 1.4155333096306498035e-1898j)  +/-  (1.16e-455, 1.16e-455j)
| (-0.36812455268467795916 - 2.6981608878018033066e-1934j)  +/-  (3.82e-487, 3.82e-487j)
| (-0.57071356768443168945 + 2.727598780527111037e-1922j)  +/-  (2.12e-475, 2.12e-475j)
| (0.66913060635885821383 + 2.7328792866571335572e-1916j)  +/-  (4.49e-470, 4.49e-470j)
| (0.24868988716485478824 - 2.6077732458017852517e-1942j)  +/-  (1.11e-494, 1.11e-494j)
| (0.72896862742141152315 - 6.164584680591945537e-1913j)  +/-  (6.97e-467, 6.97e-467j)
| (-0.86602540378443864676 + 2.9889972266157374742e-1906j)  +/-  (2.77e-460, 2.77e-460j)
| (-0.24868988716485478824 - 4.4438501567443229864e-1941j)  +/-  (1.12e-494, 1.12e-494j)
| (0.93728198949189150231 + 9.7691755183026438844e-1903j)  +/-  (3.42e-457, 3.42e-457j)
| (0.44463517918492748398 + 4.3834159072662685471e-1929j)  +/-  (1.17e-482, 1.17e-482j)
| (0.28903179694447159192 - 1.9327071908607884892e-1938j)  +/-  (4.44e-492, 4.44e-492j)
| (0.96316256679765815841 + 1.5197339711189027976e-1900j)  +/-  (3.22e-456, 3.22e-456j)
| (-0.26891982061526570577 - 8.972142265998955031e-1941j)  +/-  (2.7e-493, 2.7e-493j)
| (-0.38751558645210297288 + 2.9004210119858144436e-1933j)  +/-  (5.47e-486, 5.47e-486j)
| (-0.95731949753206726492 + 2.1351132371505423842e-1900j)  +/-  (1.99e-456, 1.99e-456j)
| (0.18738131458572463054 - 2.7425930391183201698e-1946j)  +/-  (2.09e-498, 2.09e-498j)
| (0.53582679497899661827 - 2.0712960434041867203e-1924j)  +/-  (2.48e-477, 2.48e-477j)
| (-0.32886664673858324449 + 3.9512310212055118722e-1939j)  +/-  (1.24e-489, 1.24e-489j)
| (-0.2079116908177593371 - 5.4777193993935111786e-1944j)  +/-  (3.76e-497, 3.76e-497j)
| (0.98599603707050492781 + 3.9189769872240368361e-1902j)  +/-  (1.34e-455, 1.34e-455j)
| (-0.97357890287316026566 - 1.1781705454187935303e-1900j)  +/-  (6.72e-456, 6.72e-456j)
| (0.46329603511986173188 - 3.299929229129695426e-1934j)  +/-  (1.43e-481, 1.43e-481j)
| (0.9135454576426008955 + 1.0151100525810425025e-1909j)  +/-  (3.66e-458, 3.66e-458j)
| (-0.22835087011065574178 + 3.0949069482735089116e-1948j)  +/-  (7.03e-496, 7.03e-496j)
| (-0.68454710592868867373 + 1.1324186024892752937e-1921j)  +/-  (2.68e-469, 2.68e-469j)
| (-0.97814760073380563793 - 4.1617024029463672355e-1911j)  +/-  (9.28e-456, 9.28e-456j)
| (0.16676874671610227151 - 4.2537644923291132093e-1957j)  +/-  (1.01e-499, 1.01e-499j)
| (0.14608302856241161438 - 4.0895112945796049375e-1958j)  +/-  (4.27e-501, 4.27e-501j)
| (-0.55339154924334407798 - 1.2933147865044379856e-1934j)  +/-  (2.29e-476, 2.29e-476j)
| (-0.18738131458572463054 + 4.9075352608672896802e-1956j)  +/-  (2.13e-498, 2.13e-498j)
| (0.26891982061526570577 + 8.1490854025690436429e-1950j)  +/-  (2.84e-493, 2.84e-493j)
| (0.062790519529313376076 + 7.2498394416834420975e-1964j)  +/-  (2.68e-506, 2.68e-506j)
| (0.5 + 2.9883762470425405997e-1935j)  +/-  (1.52e-479, 1.52e-479j)
| (-0.66913060635885821383 + 4.0552586718556572067e-1928j)  +/-  (4.73e-470, 4.73e-470j)
| (-0.14608302856241161438 - 2.6339872942703147225e-1960j)  +/-  (4.35e-501, 4.35e-501j)
| (-0.85536426016050662785 - 4.8685666228808885161e-1919j)  +/-  (9.32e-461, 9.32e-461j)
| (0.40673664307580020775 - 2.8773960829345129733e-1941j)  +/-  (7.5e-485, 7.5e-485j)
| (0.12533323356430424537 - 1.0491860258653539922e-1959j)  +/-  (2.25e-502, 2.25e-502j)
| (0.94437637023748105566 - 1.3438495817279062773e-1924j)  +/-  (6.89e-457, 6.89e-457j)
| (-0.44463517918492748398 - 4.1177978273725561541e-1954j)  +/-  (1.18e-482, 1.18e-482j)
| (-0.34857204732181521764 + 2.5605255967591379903e-1960j)  +/-  (1.97e-488, 1.97e-488j)
| (1.7633976074458065271e-2117 + 4.6031032495518610025e-2118j)  +/-  (2.72e-2115, 2.72e-2115j)
| (0.22835087011065574178 + 1.3851438967449042442e-1965j)  +/-  (6.95e-496, 6.95e-496j)
| (0.041875653729199629553 + 4.4451099531885691963e-1978j)  +/-  (6.11e-508, 6.11e-508j)
| (-0.083677843332315491106 + 5.6354247163967314536e-1976j)  +/-  (4.04e-505, 4.04e-505j)
| (-0.12533323356430424537 + 3.4891271919395336481e-1973j)  +/-  (2.22e-502, 2.22e-502j)
| (-0.041875653729199629553 - 8.0680269762698220472e-1978j)  +/-  (6.22e-508, 6.22e-508j)
| (0.8090169943749474241 - 3.7080070416263926463e-1967j)  +/-  (6.06e-463, 6.06e-463j)
| (0.2079116908177593371 + 2.0866422676014959997e-2002j)  +/-  (3.7e-497, 3.7e-497j)
| (-0.020942419883356959456 + 1.3839999199638672395e-2013j)  +/-  (1.37e-509, 1.37e-509j)
| (-0.16676874671610227151 + 3.6495666028069292296e-2005j)  +/-  (9.23e-500, 9.23e-500j)
| (-0.1045284632676534714 - 3.8038294817184744223e-2009j)  +/-  (6.97e-504, 6.97e-504j)
| (0.020942419883356959456 - 1.4929596708439966555e-2013j)  +/-  (1.37e-509, 1.37e-509j)
| (0.1045284632676534714 + 1.1390207383610066502e-2008j)  +/-  (6.97e-504, 6.97e-504j)
| (0.083677843332315491106 + 6.8943397235412565776e-2010j)  +/-  (4.04e-505, 4.04e-505j)
| (-0.062790519529313376076 + 4.045020658122474275e-2012j)  +/-  (2.75e-506, 2.75e-506j)
-------------------------------------------------
The weights are:
| (7.2841330887314540238e-05 + 1.4697539603730806957e-1702j)  +/-  (6.03e-59, 1.45e-269j)
| (0.00081001648116081191626 + 8.7416109399546131808e-1702j)  +/-  (2.75e-59, 6.59e-270j)
| (0.00090343790859529492284 - 7.3622392035558691379e-1702j)  +/-  (2.72e-59, 6.52e-270j)
| (0.00014226834155977578358 - 2.4754125396985088316e-1701j)  +/-  (3.44e-60, 8.24e-271j)
| (0.0010011221982887819543 - 7.9431626780816204907e-1702j)  +/-  (7.87e-61, 1.89e-271j)
| (0.00090343790859529492284 + 7.8541551458550795772e-1702j)  +/-  (7.97e-61, 1.91e-271j)
| (0.00028818180785799701499 + 1.9954591242058551461e-1701j)  +/-  (2.4e-61, 5.77e-272j)
| (0.0012085867008377009661 + 5.4615108009882153898e-1702j)  +/-  (1.43e-61, 3.44e-272j)
| (0.0011028979788038059539 - 5.9214585620073998522e-1702j)  +/-  (2.06e-61, 4.93e-272j)
| (0.00055692919763300171908 + 6.3129428494122508689e-1702j)  +/-  (8.12e-63, 1.95e-273j)
| (0.0015472440167366779391 + 7.9261186289472116979e-1702j)  +/-  (5.62e-64, 1.35e-274j)
| (0.00048211913279831124049 + 2.6160497020397409001e-1702j)  +/-  (6.29e-64, 1.51e-274j)
| (0.0014309547743852277018 + 4.7854771123574307402e-1702j)  +/-  (9.37e-63, 2.25e-273j)
| (0.0015472440167366779391 - 4.5225150131532640605e-1702j)  +/-  (3.27e-63, 7.85e-274j)
| (4.6679876431650240619e-05 - 1.4500566349987417725e-1701j)  +/-  (3.68e-64, 8.83e-275j)
| (0.0016666666666666666667 - 7.8841596099974842643e-1702j)  +/-  (1.24e-64, 2.98e-275j)
| (0.0013180029504587504728 + 7.9816710105582094403e-1702j)  +/-  (2.15e-64, 5.17e-275j)
| (0.00063661001875017525299 - 7.0439534424032303972e-1702j)  +/-  (2.65e-64, 6.35e-275j)
| (0.0027087289513809178982 + 2.9914791014997653629e-1702j)  +/-  (2.38e-68, 5.71e-279j)
| (0.0013180029504587504728 - 5.0918807228796335043e-1702j)  +/-  (1.05e-64, 2.53e-275j)
| (0.0012085867008377009661 - 7.9898460446024410698e-1702j)  +/-  (1.49e-64, 3.57e-275j)
| (0.0024369339312824476474 - 7.5138036196349708176e-1702j)  +/-  (1.96e-68, 4.71e-279j)
| (0.00010472279623789626837 + 1.0691198759354402756e-1702j)  +/-  (2.56e-71, 6.15e-282j)
| (0.0019140690281164245038 + 3.8989138393509176729e-1702j)  +/-  (2.56e-67, 6.15e-278j)
| (0.0020416147118263234237 - 3.7262358787595771438e-1702j)  +/-  (1.01e-67, 2.42e-278j)
| (4.6679876431650240619e-05 + 4.1588912021534165934e-1703j)  +/-  (5.57e-72, 1.34e-282j)
| (0.0028463899047919612854 + 7.2773876262535389917e-1702j)  +/-  (1.9e-70, 4.55e-281j)
| (0.0017890132162671275604 + 7.8350532430853494058e-1702j)  +/-  (1.38e-67, 3.32e-278j)
| (0.0010011221982887819543 + 6.4939658113631135996e-1702j)  +/-  (1.74e-67, 4.18e-278j)
| (0.0038202767618747053813 + 1.9816084454486323134e-1702j)  +/-  (6.75e-74, 1.62e-284j)
| (0.00041231106652045470897 + 1.3082438575680173205e-1702j)  +/-  (1.53e-68, 3.66e-279j)
| (0.0019140690281164245038 - 7.7799626629606846425e-1702j)  +/-  (2.2e-68, 5.27e-279j)
| (0.0032635252670554768018 - 7.0161245417446538754e-1702j)  +/-  (1.21e-72, 2.89e-283j)
| (2.9238996704721661554e-06 - 2.3795109739181003133e-1704j)  +/-  (4.57e-74, 1.1e-284j)
| (0.0031240316015689554131 - 2.6025040020375601598e-1702j)  +/-  (2.5e-73, 6.01e-284j)
| (0.0025721637662978141941 - 3.1270352351371759109e-1702j)  +/-  (8.62e-72, 2.07e-282j)
| (1.1690469168318872277e-05 - 1.7295886200961469399e-1702j)  +/-  (9.49e-72, 2.28e-282j)
| (0.0039579377152857487685 + 6.5342319851308662238e-1702j)  +/-  (5.85e-76, 1.4e-286j)
| (0.0020416147118263234237 + 7.7197293714823752077e-1702j)  +/-  (1.47e-70, 3.53e-281j)
| (0.0021714265089272826079 + 3.5648792233551685254e-1702j)  +/-  (2.02e-71, 4.84e-282j)
| (0.0042297327353842190192 - 1.6122806976019705839e-1702j)  +/-  (7.08e-77, 1.7e-287j)
| (0.00072102180891386736906 - 1.0841042644607113208e-1701j)  +/-  (1.57e-72, 3.76e-283j)
| (0.0025721637662978141941 + 7.438039693020063909e-1702j)  +/-  (2.19e-72, 5.25e-283j)
| (0.0038202767618747053813 - 6.6348439876152662632e-1702j)  +/-  (6.58e-76, 1.58e-286j)
| (2.6284328951740563167e-05 + 4.9428746454227274136e-1702j)  +/-  (9.15e-72, 2.19e-282j)
| (0.0039579377152857487685 - 1.8586109669213232576e-1702j)  +/-  (2.39e-76, 5.73e-287j)
| (0.0028463899047919612854 - 2.8593522472469244369e-1702j)  +/-  (4.19e-74, 1.01e-284j)
| (0.0040945029003688524726 + 1.7355457044545596372e-1702j)  +/-  (6.06e-77, 1.45e-287j)
| (0.0048776534503995391063 - 5.7783244130985892099e-1702j)  +/-  (1.61e-81, 3.87e-292j)
| (0.0027087289513809178982 - 7.3591683639190668026e-1702j)  +/-  (3.07e-74, 7.36e-285j)
| (0.0029849051224411550953 + 2.7298987770023580961e-1702j)  +/-  (1.03e-74, 2.47e-285j)
| (0.0047525976385502421629 - 1.1153441348843596369e-1702j)  +/-  (8.41e-81, 2.02e-291j)
| (0.00014226834155977578358 - 1.6056592510276253426e-1702j)  +/-  (1.16e-79, 2.78e-290j)
| (0.0034031413996111898649 + 6.9241393059421704498e-1702j)  +/-  (1.06e-77, 2.53e-288j)
| (0.0040945029003688524726 - 6.4316496694660320199e-1702j)  +/-  (7.62e-80, 1.83e-290j)
| (2.9238996704721661554e-06 + 3.8396038540136977224e-1703j)  +/-  (1.76e-75, 4.23e-286j)
| (0.0048776534503995391063 + 9.8981931606080912977e-1703j)  +/-  (1.29e-81, 3.11e-292j)
| (0.0032635252670554768018 + 2.4766650751573368858e-1702j)  +/-  (5.83e-77, 1.4e-287j)
| (0.0021714265089272826079 - 7.6549866266775846175e-1702j)  +/-  (2.82e-75, 6.76e-286j)
| (0.0054580799658289657006 + 5.1907681859234861697e-1702j)  +/-  (4.9e-86, 1.18e-296j)
| (0.00041231106652045470897 + 2.1917567863152925726e-1701j)  +/-  (8.43e-80, 2.02e-290j)
| (0.0034031413996111898649 - 2.351968655233592397e-1702j)  +/-  (8.55e-78, 2.05e-288j)
| (0.005 - 8.6369625315939319026e-1703j)  +/-  (2.62e-83, 6.29e-294j)
| (7.2841330887314540238e-05 - 6.8828321504739733928e-1703j)  +/-  (2.22e-80, 5.33e-291j)
| (0.0044952401577393840588 + 6.1127295791540428217e-1702j)  +/-  (3.49e-84, 8.37e-295j)
| (0.004363389981249824747 - 6.2208360663224618839e-1702j)  +/-  (1.39e-83, 3.33e-294j)
| (1.1690469168318872277e-05 + 9.6810915575869997371e-1704j)  +/-  (1.55e-81, 3.72e-292j)
| (0.0055637686878628607128 + 2.2359528788712041983e-1703j)  +/-  (2.35e-89, 5.63e-300j)
| (0.0023032766854168419197 - 3.4124132549020873761e-1702j)  +/-  (9.81e-80, 2.35e-290j)
| (0.0029849051224411550953 - 7.1928628707106407979e-1702j)  +/-  (2.42e-81, 5.8e-292j)
| (0.0056655444683778847124 + 4.9464630893920276536e-1702j)  +/-  (1.42e-90, 3.42e-301j)
| (0.00034762746586862379882 + 1.1085232129212686146e-1701j)  +/-  (2.65e-82, 6.36e-293j)
| (0.004363389981249824747 + 1.4887077194659531459e-1702j)  +/-  (1.65e-83, 3.95e-294j)
| (0.0052357118922814389648 - 6.0957388873492593857e-1703j)  +/-  (1.21e-87, 2.91e-298j)
| (2.6284328951740563167e-05 - 2.2424465329731220993e-1703j)  +/-  (1.75e-81, 4.2e-292j)
| (0.0051194226499299887276 - 5.5475550359963658959e-1702j)  +/-  (1.74e-89, 4.18e-300j)
| (0.0035426350650977112536 - 6.8298743375501278901e-1702j)  +/-  (8.01e-84, 1.92e-294j)
| (0.00063661001875017525299 + 1.4894971503130958729e-1701j)  +/-  (8.44e-82, 2.02e-292j)
| (0.0060300566479164914137 + 4.3189779061352282405e-1703j)  +/-  (1.17e-93, 2.81e-304j)
| (0.00010472279623789626837 + 2.7309105531428868768e-1702j)  +/-  (3.36e-83, 8.06e-294j)
| (0.0014309547743852277018 - 7.9593612423736256477e-1702j)  +/-  (2.99e-82, 7.17e-293j)
| (0.0057632287580713717438 - 4.8225403753296778163e-1702j)  +/-  (4.55e-93, 1.09e-303j)
| (0.00018541209920839648112 + 2.3843115901836864945e-1702j)  +/-  (3.03e-83, 7.27e-294j)
| (0.0051194226499299887276 + 7.3695245744382162511e-1703j)  +/-  (1.03e-88, 2.48e-299j)
| (0.0054580799658289657006 - 3.5289249122295440139e-1703j)  +/-  (5.41e-91, 1.3e-301j)
| (0.00023407838037249532113 - 3.579432371817112823e-1702j)  +/-  (8.46e-84, 2.03e-294j)
| (0.0058566501855058547504 + 4.6975102759546668431e-1702j)  +/-  (8.66e-95, 2.08e-305j)
| (0.0046250519548403432429 - 6.0029034089122762401e-1702j)  +/-  (1.93e-90, 4.64e-301j)
| (0.0024369339312824476474 + 3.2669568513977892123e-1702j)  +/-  (7.16e-84, 1.72e-294j)
| (0.0061097374690336649476 - 5.6463795263350607455e-1703j)  +/-  (2.24e-96, 5.37e-307j)
| (0.0060300566479164914137 + 4.444345949455585257e-1702j)  +/-  (6.81e-97, 1.63e-307j)
| (0.0042297327353842190192 + 6.3271632082359373857e-1702j)  +/-  (1.23e-89, 2.96e-300j)
| (0.0059456448577527992976 - 4.5714273014683957597e-1702j)  +/-  (5.01e-96, 1.2e-306j)
| (0.00023407838037249532113 - 5.3564998572423036111e-1701j)  +/-  (2.21e-89, 5.31e-300j)
| (0.0057632287580713717438 - 3.685849429625045867e-1704j)  +/-  (2.45e-96, 5.88e-307j)
| (0.0044952401577393840588 - 1.3647387127458863063e-1702j)  +/-  (7.58e-91, 1.82e-301j)
| (0.0036817615442255115713 + 6.7334160835110405423e-1702j)  +/-  (4.06e-89, 9.75e-300j)
| (0.0062543556001462119577 - 4.057656437115700847e-1702j)  +/-  (1.78e-100, 4.27e-311j)
| (0.0031240316015689554131 + 7.1057346673759792642e-1702j)  +/-  (1.04e-88, 2.51e-299j)
| (0.0016666666666666666667 + 4.2920445373580930913e-1702j)  +/-  (5.07e-89, 1.22e-299j)
| (0.0062543556001462119577 - 8.3152119097724426416e-1703j)  +/-  (6.33e-101, 1.52e-311j)
| (0.00081001648116081191626 - 7.7045762445531578464e-1702j)  +/-  (1.66e-90, 3.99e-301j)
| (0.0053486637162079161939 - 5.3110413457733468058e-1702j)  +/-  (1.22e-95, 2.94e-306j)
| (0.0061097374690336649476 - 4.3163207080433163822e-1702j)  +/-  (5.28e-99, 1.27e-309j)
| (0.00048211913279831124049 - 4.8417177347401461805e-1702j)  +/-  (4.39e-90, 1.05e-300j)
| (0.0061845475338683554262 + 6.9785722039347866756e-1703j)  +/-  (8.67e-101, 2.08e-311j)
| (0.0056655444683778847124 - 9.3673156185346684518e-1704j)  +/-  (5.28e-98, 1.27e-308j)
| (0.00055692919763300171908 - 2.7147612503725260788e-1701j)  +/-  (2.35e-92, 5.64e-303j)
| (0.0064325882862941713455 + 3.6639417211118418374e-1702j)  +/-  (1.88e-104, 4.51e-315j)
| (0.0047525976385502421629 + 5.8914159085980329495e-1702j)  +/-  (6.05e-95, 1.45e-305j)
| (0.0059456448577527992976 - 2.9966874496580099712e-1703j)  +/-  (6.63e-100, 1.59e-310j)
| (0.0063784848588086696517 - 1.1000350292360249854e-1702j)  +/-  (2.56e-104, 6.14e-315j)
| (0.00018541209920839648112 + 5.4589527913576985255e-1701j)  +/-  (1.22e-92, 2.94e-303j)
| (0.00034762746586862379882 - 9.6681976555441720419e-1702j)  +/-  (7.72e-94, 1.85e-304j)
| (0.0052357118922814389648 + 5.4299886048584318488e-1702j)  +/-  (4.08e-98, 9.8e-309j)
| (0.0011028979788038059539 + 7.9794601300001254642e-1702j)  +/-  (1.13e-93, 2.7e-304j)
| (0.0063190392007980428678 + 9.6559330022306955795e-1703j)  +/-  (9.9e-104, 2.37e-314j)
| (0.0035426350650977112536 + 2.2280737191959854201e-1702j)  +/-  (1e-96, 2.41e-307j)
| (0.00028818180785799701499 + 5.5989181581856641466e-1702j)  +/-  (6.32e-94, 1.52e-304j)
| (0.0064812545674582701855 - 3.5313957928823025314e-1702j)  +/-  (3e-107, 7.19e-318j)
| (0.0065243983251068908831 + 3.3982862125994939848e-1702j)  +/-  (4.24e-108, 1.02e-318j)
| (0.0046250519548403432429 + 1.2403028561856565132e-1702j)  +/-  (3.61e-99, 8.65e-310j)
| (0.0064325882862941713455 + 1.2348060896510171168e-1702j)  +/-  (3.02e-107, 7.25e-318j)
| (0.0061845475338683554262 + 4.1874060526522274033e-1702j)  +/-  (4.11e-105, 9.87e-316j)
| (0.0066403823377149261035 + 2.8612857830452447515e-1702j)  +/-  (4.48e-111, 1.07e-321j)
| (0.005 + 5.6636854720494578149e-1702j)  +/-  (3.28e-101, 7.87e-312j)
| (0.0036817615442255115713 - 2.1046981923927733426e-1702j)  +/-  (8.12e-100, 1.95e-310j)
| (0.0065243983251068908831 + 1.5051671885454455456e-1702j)  +/-  (5.2e-110, 1.25e-320j)
| (0.0017890132162671275604 - 4.08610031502303941e-1702j)  +/-  (4.7e-99, 1.13e-309j)
| (0.0055637686878628607128 - 5.0692238847911404387e-1702j)  +/-  (4.3e-103, 1.03e-313j)
| (0.0065619438704287703983 - 3.2646668658870343287e-1702j)  +/-  (8.61e-110, 2.07e-320j)
| (0.00072102180891386736906 + 7.4660020503502245056e-1702j)  +/-  (2.1e-101, 5.04e-312j)
| (0.0053486637162079161939 + 4.8155392664435371035e-1703j)  +/-  (2.24e-103, 5.38e-314j)
| (0.0058566501855058547504 + 1.6798017460286849782e-1703j)  +/-  (7.61e-105, 1.83e-315j)
| (0.0066666666666666666667 - 2.455232232392379264e-1702j)  +/-  (3.7e-113, 8.87e-324j)
| (0.0063190392007980428678 + 3.9271262797864396325e-1702j)  +/-  (6.97e-109, 1.67e-319j)
| (0.0066549761974983477944 - 2.7261615264792674353e-1702j)  +/-  (1.35e-112, 3.23e-323j)
| (0.006619986790235016426 - 1.9120871408676292149e-1702j)  +/-  (1.05e-113, 2.52e-324j)
| (0.0065619438704287703983 - 1.640669225614180662e-1702j)  +/-  (6.17e-113, 1.48e-323j)
| (0.0066549761974983477944 - 2.1837392214776871634e-1702j)  +/-  (2.49e-114, 5.97e-325j)
| (0.0023032766854168419197 + 7.5862189422535499749e-1702j)  +/-  (1.21e-108, 2.9e-319j)
| (0.0063784848588086696517 - 3.7958699451195878493e-1702j)  +/-  (8.2e-112, 1.97e-322j)
| (0.0066637427669961945005 + 2.3195306624594995666e-1702j)  +/-  (2.01e-114, 4.82e-325j)
| (0.0064812545674582701855 - 1.3698645904278621773e-1702j)  +/-  (2.58e-113, 6.19e-324j)
| (0.0065938253357793521264 + 1.7763248521328222808e-1702j)  +/-  (3.22e-114, 7.72e-325j)
| (0.0066637427669961945005 + 2.5907930146670048625e-1702j)  +/-  (5.08e-115, 1.22e-325j)
| (0.0065938253357793521264 + 3.1305914347754174641e-1702j)  +/-  (1.43e-115, 3.43e-326j)
| (0.006619986790235016426 - 2.9961133572071478557e-1702j)  +/-  (1.13e-115, 2.71e-326j)
| (0.0066403823377149261035 + 2.0479081906211059413e-1702j)  +/-  (1.07e-115, 2.54e-326j)
