Starting with polynomial:
P : 64*t^6 - 80*t^4 + 24*t^2 - 1
Extension levels are: 6 70 77
-------------------------------------------------
Trying to find an order 70 Kronrod extension for:
P1 : 64*t^6 - 80*t^4 + 24*t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 77 Kronrod extension for:
P2 : 64*t^76 - 1200*t^74 + 10804*t^72 - 62196*t^70 + 514395/2*t^68 - 13019909/16*t^66 + 131115985/64*t^64 - 33715539/8*t^62 + 924001221/128*t^60 - 5344712945/512*t^58 + 26372568651/2048*t^56 - 27970906145/2048*t^54 + 205263418941/16384*t^52 - 10468434365991/1048576*t^50 + 29078984349975/4194304*t^48 - 8817498480315/2097152*t^46 + 149608375854525/67108864*t^44 - 277508869722315/268435456*t^42 + 449972009097765/1073741824*t^40 - 159245992330425/1073741824*t^38 + 392806781081715/8589934592*t^36 - 841728816603675/68719476736*t^34 + 780512175396135/274877906944*t^32 - 38962765599485/68719476736*t^30 + 106596245508025/1099511627776*t^28 - 61989816618513/4398046511104*t^26 + 30387165009075/17592186044416*t^24 - 3106243534261/17592186044416*t^22 + 2091959931237/140737488355328*t^20 - 2284324062845/2251799813685248*t^18 + 495746924277/9007199254740992*t^16 - 10429458435/4503599627370496*t^14 + 21090682613/288230376151711744*t^12 - 1917334783/1152921504606846976*t^10 + 118030185/4611686018427387904*t^8 - 1124097/4611686018427387904*t^6 + 45695/36893488147419103232*t^4 - 741/295147905179352825856*t^2 + 1/1180591620717411303424
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 64*t^153 - 2432*t^151 + 45300*t^149 - 551300*t^147 + 19720001/4*t^145 - 34543089*t^143 + 3159603447/16*t^141 - 15153200205/16*t^139 + 1990881413235/512*t^137 - 3553074951283/256*t^135 + 714168065207883/16384*t^133 - 1992678727398219/16384*t^131 + 79660372599980445/262144*t^129 - 5606212801635285/8192*t^127 + 183082892350546593/131072*t^125 - 340261970195859975/131072*t^123 + 36999790759123730325/8388608*t^121 - 28834100570120038875/4194304*t^119 + 1323164837273286228375/134217728*t^117 - 1750291732112382133675/134217728*t^115 + 34248245683572133988775/2147483648*t^113 - 9699377850234714638425/536870912*t^111 + 163125900208492928009875/8589934592*t^109 - 159336051879719444783625/8589934592*t^107 + 4633819231845584468553525/274877906944*t^105 - 1961290930688131100643585/137438953472*t^103 + 792512404531134820898519385/70368744177664*t^101 - 583579417159847017430376625/70368744177664*t^99 + 6419373588758317191734142875/1125899906842624*t^97 - 515320748780322842150244297/140737488355328*t^95 + 4948187404955142989679227497/2251799813685248*t^93 - 2775812446682153384454200791/2251799813685248*t^91 + 186343474904318329661310692445/288230376151711744*t^89 - 45687518640452703415583062335/144115188075855872*t^87 + 670262773466406131285083279197/4611686018427387904*t^85 - 287255474342745484836464262513/4611686018427387904*t^83 + 1840923501296351948961370782169/73786976294838206464*t^81 - 172227770391550598135679179205/18446744073709551616*t^79 + 963037677997037010627999185355/295147905179352825856*t^77 - 314141387493793789642979444409/295147905179352825856*t^75 + 3058745088755360583365852485035/9444732965739290427392*t^73 - 433756858042795575927339754515/4722366482869645213696*t^71 + 7332556409771068069247886326325/302231454903657293676544*t^69 - 1802029890773405163466953836325/302231454903657293676544*t^67 + 6585600146280989779215594929115/4835703278458516698824704*t^65 - 87270949950716480254640911395/302231454903657293676544*t^63 + 274460813613122843699377938735/4835703278458516698824704*t^61 - 49936696054087771323310959225/4835703278458516698824704*t^59 + 537369100305309287636383970025/309485009821345068724781056*t^57 - 41673522064493373326903246655/154742504910672534362390528*t^55 + 190415939279300490432157911639/4951760157141521099596496896*t^53 - 24975553429171528252000152507/4951760157141521099596496896*t^51 + 48029910440714477407692600975/79228162514264337593543950336*t^49 - 1318960738797875617211061525/19807040628566084398385987584*t^47 + 2112291197985931173637270383/316912650057057350374175801344*t^45 - 192026472544175561239751853/316912650057057350374175801344*t^43 + 505539080779564232651591613/10141204801825835211973625643008*t^41 - 18743988345055284444488385/5070602400912917605986812821504*t^39 + 159647073145815698544435555/649037107316853453566312041152512*t^37 - 9484830572267016523692603/649037107316853453566312041152512*t^35 + 8004927929785638059002977/10384593717069655257060992658440192*t^33 - 46564890125670025726617/1298074214633706907132624082305024*t^31 + 30368406603697842865185/20769187434139310514121985316880384*t^29 - 1075315984746321664335/20769187434139310514121985316880384*t^27 + 8387464681021308981813/5316911983139663491615228241121378304*t^25 - 108739818682212303135/2658455991569831745807614120560689152*t^23 + 75788358475481302185/85070591730234615865843651857942052864*t^21 - 1365204604550615325/85070591730234615865843651857942052864*t^19 + 319357027877093325/1361129467683753853853498429727072845824*t^17 - 925672544571285/340282366920938463463374607431768211456*t^15 + 132238934938755/5444517870735015415413993718908291383296*t^13 - 875160098865/5444517870735015415413993718908291383296*t^11 + 130443917175/174224571863520493293247799005065324265472*t^9 - 198544775/87112285931760246646623899502532662132736*t^7 + 22537515/5575186299632655785383929568162090376495104*t^5 - 19019/5575186299632655785383929568162090376495104*t^3 + 77/89202980794122492566142873090593446023921664*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:   153 out of 153
Indefinite weights: 0 out of 153
Negative weights:   0 out of 153
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.97492791218182360702 - 1.2826077585614947066e-1586j)  +/-  (2.29e-454, 2.29e-454j)
| (-0.93333652103736675804 - 9.9683073074161313692e-1592j)  +/-  (6.78e-456, 6.78e-456j)
| (-0.94046545001381151853 - 4.0089817445368264305e-1592j)  +/-  (1.35e-455, 1.35e-455j)
| (-0.99480253285700401983 - 5.6068575177886274978e-1589j)  +/-  (4e-454, 4e-454j)
| (0.91791658525375936974 + 3.4242339692922628098e-1592j)  +/-  (1.52e-456, 1.52e-456j)
| (0.9258191900208980879 - 4.7184027903830026329e-1592j)  +/-  (3.29e-456, 3.29e-456j)
| (-0.98671247339128891623 - 4.5311721258962686093e-1590j)  +/-  (4.28e-454, 4.28e-454j)
| (-0.90096886790241912624 - 5.6594355407821854736e-1595j)  +/-  (2.88e-457, 2.88e-457j)
| (-0.95949297361449738989 - 1.4786397335000714237e-1592j)  +/-  (7.39e-455, 7.39e-455j)
| (0.93333652103736675804 - 6.945278451794497995e-1592j)  +/-  (7.24e-456, 7.24e-456j)
| (0.8825215767863212466 - 2.8298792709849023958e-1594j)  +/-  (3.86e-458, 3.86e-458j)
| (-0.84125353283118116886 - 3.5914640622988619296e-1597j)  +/-  (4.54e-460, 4.54e-460j)
| (-0.8825215767863212466 + 2.8803851755766004454e-1596j)  +/-  (3.81e-458, 3.81e-458j)
| (-0.89193080800269382063 + 5.7008708981518042262e-1595j)  +/-  (1.11e-457, 1.11e-457j)
| (0.98319289079950297361 - 2.1537464788937767399e-1588j)  +/-  (3.87e-454, 3.87e-454j)
| (0.85210677361545651595 + 1.0591048633216172206e-1599j)  +/-  (1.51e-459, 1.51e-459j)
| (0.90096886790241912624 + 1.1918707920299507017e-1598j)  +/-  (2.8e-457, 2.8e-457j)
| (-0.94720301029191007507 + 7.1673541569015005727e-1597j)  +/-  (2.47e-455, 2.47e-455j)
| (-0.78183148246802980871 - 1.0241276955223029495e-1605j)  +/-  (4.72e-463, 4.72e-463j)
| (-0.9258191900208980879 + 1.278600483560803459e-1597j)  +/-  (3.3e-456, 3.3e-456j)
| (0.89193080800269382063 - 2.4285646386533733615e-1598j)  +/-  (1.13e-457, 1.13e-457j)
| (0.78183148246802980871 - 3.2642468903637643277e-1604j)  +/-  (4.78e-463, 4.78e-463j)
| (0.99480253285700401983 + 7.2036668297804700348e-1594j)  +/-  (3.92e-454, 3.92e-454j)
| (-0.81850146657859347133 + 7.4402992892224694847e-1614j)  +/-  (3.35e-461, 3.35e-461j)
| (-0.85210677361545651595 - 7.0596454820656087993e-1611j)  +/-  (1.49e-459, 1.49e-459j)
| (0.96504026226913991517 + 1.4757291210200901657e-1603j)  +/-  (1.12e-454, 1.12e-454j)
| (0.76895052533936202396 + 9.6706346877820733507e-1621j)  +/-  (1.07e-463, 1.07e-463j)
| (0.86260541560098070514 - 4.4646068958175791619e-1615j)  +/-  (4.54e-459, 4.54e-459j)
| (-0.91791658525375936974 + 1.0047511644685355756e-1613j)  +/-  (1.51e-456, 1.51e-456j)
| (-0.65486073394528506406 - 4.3180159673900748526e-1627j)  +/-  (9.41e-470, 9.41e-470j)
| (0.98982144188093273238 + 2.0767273878904372137e-1609j)  +/-  (4.67e-454, 4.67e-454j)
| (0.83005020975508058805 + 7.3997520717587040102e-1641j)  +/-  (1.22e-460, 1.22e-460j)
| (0.72840979565826910527 - 7.0623109054347285319e-1653j)  +/-  (9.23e-466, 9.23e-466j)
| (0.99251850249102774178 + 8.3501479037414593278e-1639j)  +/-  (4.38e-454, 4.38e-454j)
| (-0.72840979565826910527 + 1.7496106563090247842e-1669j)  +/-  (9.57e-466, 9.57e-466j)
| (-0.83005020975508058805 + 6.6028472928198149268e-1664j)  +/-  (1.2e-460, 1.2e-460j)
| (-0.97492791218182360702 + 3.9746612141660363387e-1657j)  +/-  (2.39e-454, 2.39e-454j)
| (0.65486073394528506406 + 3.2718103623123679965e-1672j)  +/-  (9.46e-470, 9.46e-470j)
| (0.84125353283118116886 - 6.7714639209796312847e-1662j)  +/-  (4.65e-460, 4.65e-460j)
| (-0.75574957435425828377 + 1.7042010271828080355e-1667j)  +/-  (2.23e-464, 2.23e-464j)
| (-0.59108113252867653444 + 6.3903388736802254905e-1678j)  +/-  (2.61e-473, 2.61e-473j)
| (-0.98319289079950297361 + 7.2085705010957338655e-1657j)  +/-  (3.8e-454, 3.8e-454j)
| (0.74223412300426992182 - 1.5465578354670462984e-1667j)  +/-  (4.82e-465, 4.82e-465j)
| (0.6701406618375595239 - 8.6917934097734185196e-1672j)  +/-  (6.12e-469, 6.12e-469j)
| (-0.99979192818920649537 + 1.0468582940277659608e-1657j)  +/-  (2.61e-455, 2.61e-455j)
| (-0.62348980185873353053 + 9.6446672436748830812e-1675j)  +/-  (1.68e-471, 1.68e-471j)
| (-0.74223412300426992182 - 8.3489931315927058932e-1668j)  +/-  (4.78e-465, 4.78e-465j)
| (0.87274508984485613497 - 1.0217897028367002519e-1661j)  +/-  (1.41e-458, 1.41e-458j)
| (0.52336798369661201426 - 7.3919882352093959743e-1680j)  +/-  (3.85e-477, 3.85e-477j)
| (0.81850146657859347133 - 1.2165112210454777817e-1663j)  +/-  (3.34e-461, 3.34e-461j)
| (-0.69985765074356179589 - 1.9892451117840177998e-1671j)  +/-  (2.17e-467, 2.17e-467j)
| (-0.5576886669868294164 + 4.7477367866214984813e-1678j)  +/-  (3.37e-475, 3.37e-475j)
| (0.99979192818920649537 + 2.591064693769571691e-1654j)  +/-  (2.72e-455, 2.72e-455j)
| (0.62348980185873353053 - 6.7724227615492379691e-1701j)  +/-  (1.71e-471, 1.71e-471j)
| (0.60741185247774751451 + 6.3064020444163926848e-1702j)  +/-  (2.28e-472, 2.28e-472j)
| (-0.99916779934458287527 + 2.7823828403426761024e-1682j)  +/-  (1.01e-454, 1.01e-454j)
| (-0.50587735368946824748 + 1.6606929971427575605e-1708j)  +/-  (4e-478, 4e-478j)
| (-0.7943870854121126072 - 3.3387546234547519477e-1693j)  +/-  (2.26e-462, 2.26e-462j)
| (0.7943870854121126072 - 8.3664719830028402412e-1692j)  +/-  (2.33e-462, 2.33e-462j)
| (0.43388373911755812048 - 2.7275233845655473048e-1712j)  +/-  (1.58e-482, 1.58e-482j)
| (0.98671247339128891623 - 1.3115981208346620148e-1681j)  +/-  (4.59e-454, 4.59e-454j)
| (-0.6701406618375595239 + 2.4313649473640900605e-1729j)  +/-  (6.07e-469, 6.07e-469j)
| (-0.48817620604828129299 + 1.371735841808178888e-1739j)  +/-  (2.21e-479, 2.21e-479j)
| (0.99812787319336687828 + 8.6782855937202626735e-1712j)  +/-  (2.02e-454, 2.02e-454j)
| (0.5576886669868294164 + 4.4462923928022946718e-1771j)  +/-  (3.49e-475, 3.49e-475j)
| (0.63930828993555148636 - 5.0325216934232914082e-1765j)  +/-  (1.41e-470, 1.41e-470j)
| (0.99667258249419325447 - 8.7320742908438605683e-1746j)  +/-  (3.11e-454, 3.11e-454j)
| (-0.39677341457824251103 + 1.8929501849293957491e-1793j)  +/-  (8.1e-485, 8.1e-485j)
| (-0.71428234522190360326 - 7.143634697475087607e-1775j)  +/-  (1.79e-466, 1.79e-466j)
| (0.68514171496784418645 - 6.2499152575623674284e-1775j)  +/-  (3.77e-468, 3.77e-468j)
| (0.39677341457824251103 - 2.0347668882120844306e-1792j)  +/-  (8.12e-485, 8.12e-485j)
| (0.90963199535451837141 + 1.3333938751953057172e-1760j)  +/-  (6.84e-457, 6.84e-457j)
| (-0.54064081745559758211 + 1.0953747703339937085e-1785j)  +/-  (3.7e-476, 3.7e-476j)
| (-0.52336798369661201426 + 1.2681106101489966051e-1786j)  +/-  (3.81e-477, 3.81e-477j)
| (-0.97926415875742112492 + 1.2261372396470976526e-1761j)  +/-  (3.15e-454, 3.15e-454j)
| (0.41541501300188642553 - 5.0111867222029875617e-1794j)  +/-  (1.23e-483, 1.23e-483j)
| (0.69985765074356179589 + 3.4216188759141584575e-1776j)  +/-  (2.21e-467, 2.21e-467j)
| (0.97018595557406448332 + 2.6442344914476450483e-1761j)  +/-  (1.64e-454, 1.64e-454j)
| (-0.32063446055273549838 + 2.7861929403140864861e-1811j)  +/-  (1.45e-489, 1.45e-489j)
| (-0.97018595557406448332 - 3.3871718515593258642e-1774j)  +/-  (1.68e-454, 1.68e-454j)
| (0.59108113252867653444 + 4.4347444702495948805e-1795j)  +/-  (2.69e-473, 2.69e-473j)
| (0.37796670142890656284 - 1.2618848773305689973e-1807j)  +/-  (6.31e-486, 6.31e-486j)
| (-0.99251850249102774178 + 1.0460004911917573359e-1774j)  +/-  (4.4e-454, 4.4e-454j)
| (-0.47027190699273680067 + 1.4230322269785537188e-1802j)  +/-  (2.12e-480, 2.12e-480j)
| (-0.45217190728268572167 + 4.9375000066852175397e-1804j)  +/-  (1.88e-481, 1.88e-481j)
| (0.99916779934458287527 + 2.9553166391732133614e-1774j)  +/-  (1e-454, 1e-454j)
| (0.32063446055273549838 + 4.3329145128565643944e-1821j)  +/-  (1.47e-489, 1.47e-489j)
| (0.54064081745559758211 + 2.1873154013128682622e-1807j)  +/-  (3.66e-476, 3.66e-476j)
| (-0.95354639807892763896 - 9.2144461308362246139e-1786j)  +/-  (4.29e-455, 4.29e-455j)
| (-0.28173255684142969771 - 1.7893556420904311424e-1823j)  +/-  (4.87e-492, 4.87e-492j)
| (-0.76895052533936202396 + 8.0721249735068747311e-1796j)  +/-  (1.06e-463, 1.06e-463j)
| (0.48817620604828129299 - 3.0648873490239786306e-1810j)  +/-  (2.3e-479, 2.3e-479j)
| (0.33988930158261673067 - 2.8549145231034884967e-1819j)  +/-  (2.26e-488, 2.26e-488j)
| (0.95949297361449738989 - 2.8325553939909025262e-1783j)  +/-  (7.28e-455, 7.28e-455j)
| (-0.35900269984759869364 + 3.9712781209457136676e-1819j)  +/-  (4.83e-487, 4.83e-487j)
| (-0.43388373911755812048 + 2.7723030295578019265e-1814j)  +/-  (1.6e-482, 1.6e-482j)
| (0.95354639807892763896 + 9.102358996253160426e-1787j)  +/-  (4.27e-455, 4.27e-455j)
| (0.26210168293910218124 - 1.1713090890221826703e-1825j)  +/-  (2.99e-493, 2.99e-493j)
| (0.75574957435425828377 + 8.8075416621631040039e-1797j)  +/-  (2.31e-464, 2.31e-464j)
| (-0.86260541560098070514 - 1.8583565652396372271e-1790j)  +/-  (4.49e-459, 4.49e-459j)
| (-0.24236173709321233675 - 1.3422445044993356322e-1827j)  +/-  (1.26e-494, 1.26e-494j)
| (-0.96504026226913991517 - 2.3151727268379815291e-1785j)  +/-  (1.15e-454, 1.15e-454j)
| (0.35900269984759869364 + 4.0933426217926390256e-1820j)  +/-  (4.73e-487, 4.73e-487j)
| (0.47027190699273680067 - 2.358353165184704667e-1813j)  +/-  (2.2e-480, 2.2e-480j)
| (-0.87274508984485613497 - 3.5977137983409137985e-1790j)  +/-  (1.38e-458, 1.38e-458j)
| (-0.26210168293910218124 + 2.7206410021974234297e-1825j)  +/-  (3.13e-493, 3.13e-493j)
| (-0.60741185247774751451 - 1.6224638648180679263e-1804j)  +/-  (2.34e-472, 2.34e-472j)
| (-0.63930828993555148636 + 3.0267571436367301617e-1802j)  +/-  (1.36e-470, 1.36e-470j)
| (0.20258753015208096744 + 1.4491231837594099976e-1830j)  +/-  (4.16e-497, 4.16e-497j)
| (-0.99812787319336687828 - 1.9710271053444117705e-1784j)  +/-  (2.08e-454, 2.08e-454j)
| (-0.41541501300188642553 - 1.7909570958477122172e-1816j)  +/-  (1.19e-483, 1.19e-483j)
| (-0.33988930158261673067 - 6.2700778853235394295e-1822j)  +/-  (2.26e-488, 2.26e-488j)
| (-0.99667258249419325447 + 5.9962681022844229159e-1784j)  +/-  (3.11e-454, 3.11e-454j)
| (0.28173255684142969771 - 2.8795085031245214446e-1827j)  +/-  (4.95e-492, 4.95e-492j)
| (0.57450443793646331994 + 8.8824426324219789054e-1810j)  +/-  (3.17e-474, 3.17e-474j)
| (-0.98982144188093273238 + 1.4445386186606230047e-1789j)  +/-  (4.65e-454, 4.65e-454j)
| (-0.22252093395631440429 + 5.4416973949451807456e-1833j)  +/-  (7.3e-496, 7.3e-496j)
| (-0.68514171496784418645 - 3.3090119305364561259e-1804j)  +/-  (3.69e-468, 3.69e-468j)
| (0.71428234522190360326 + 5.1723208087294477135e-1803j)  +/-  (1.8e-466, 1.8e-466j)
| (0.18256982083936167619 - 1.9702845089608303758e-1834j)  +/-  (2.28e-498, 2.28e-498j)
| (0.94720301029191007507 - 4.7322774793159373148e-1788j)  +/-  (2.45e-455, 2.45e-455j)
| (-0.081509283547063164483 - 1.809392658165865685e-1841j)  +/-  (4.27e-505, 4.27e-505j)
| (-0.20258753015208096744 - 1.2230465733149362234e-1833j)  +/-  (4.04e-497, 4.04e-497j)
| (0.8066121092375300603 + 3.2626052933461432016e-1796j)  +/-  (8.74e-462, 8.74e-462j)
| (0.22252093395631440429 + 5.4892208825881979691e-1832j)  +/-  (7.55e-496, 7.55e-496j)
| (0.24236173709321233675 + 6.3245035342552404023e-1831j)  +/-  (1.19e-494, 1.19e-494j)
| (-0.8066121092375300603 + 1.3630549431777793941e-1798j)  +/-  (8.7e-462, 8.7e-462j)
| (-0.14231483827328514044 - 3.7096602470546474441e-1838j)  +/-  (4.56e-501, 4.56e-501j)
| (-0.16247613626020580153 - 6.4125356669612375384e-1836j)  +/-  (1.02e-499, 1.02e-499j)
| (0.97926415875742112492 - 6.0220235496413550126e-1791j)  +/-  (3.01e-454, 3.01e-454j)
| (0.14231483827328514044 + 1.5004441572823591796e-1842j)  +/-  (4.45e-501, 4.45e-501j)
| (-0.57450443793646331994 - 7.9851931907446390551e-1817j)  +/-  (3.24e-474, 3.24e-474j)
| (-0.18256982083936167619 - 3.4823271320671626086e-1840j)  +/-  (2.24e-498, 2.24e-498j)
| (-0.37796670142890656284 - 6.8500576883752051635e-1828j)  +/-  (6.21e-486, 6.21e-486j)
| (-0.040788586061585571552 + 1.0582414854571646877e-1849j)  +/-  (6.29e-508, 6.29e-508j)
| (0.16247613626020580153 + 4.8916349170206854836e-1841j)  +/-  (9.69e-500, 9.69e-500j)
| (0.50587735368946824748 - 3.9754960107185855325e-1819j)  +/-  (3.99e-478, 3.99e-478j)
| (-0.30124618953723425369 - 1.5079349798208136677e-1832j)  +/-  (8.33e-491, 8.33e-491j)
| (-0.12209431687415986496 + 1.1082319736316116515e-1843j)  +/-  (1.34e-502, 1.34e-502j)
| (0.94046545001381151853 - 1.3573498617675597226e-1800j)  +/-  (1.29e-455, 1.29e-455j)
| (0.45217190728268572167 + 9.9367831027302537422e-1827j)  +/-  (1.88e-481, 1.88e-481j)
| (0.12209431687415986496 - 8.8213630430187738183e-1848j)  +/-  (1.44e-502, 1.44e-502j)
| (0.040788586061585571552 + 1.6321261212922973122e-1853j)  +/-  (6.15e-508, 6.15e-508j)
| (-0.061161660821842706978 - 2.778870843351716933e-1852j)  +/-  (1.66e-506, 1.66e-506j)
| (-0.90963199535451837141 + 2.222497408242556172e-1847j)  +/-  (6.82e-457, 6.82e-457j)
| (0.0203985373914053545 - 4.3373607694556983586e-1901j)  +/-  (1.34e-509, 1.34e-509j)
| (0.10182298670383538469 - 5.904620119906578393e-1896j)  +/-  (7.7e-504, 7.7e-504j)
| (0.30124618953723425369 - 1.0452878264415226679e-1883j)  +/-  (8.36e-491, 8.36e-491j)
| (8.9842494420309935243e-2044 + 1.3897843294671143233e-2043j)  +/-  (2.53e-2041, 2.53e-2041j)
| (-0.10182298670383538469 + 1.163798550402854664e-1897j)  +/-  (7.56e-504, 7.56e-504j)
| (-0.0203985373914053545 - 7.0723111891419429839e-1902j)  +/-  (1.34e-509, 1.34e-509j)
| (0.061161660821842706978 + 1.0457676698530322571e-1898j)  +/-  (1.67e-506, 1.67e-506j)
| (0.081509283547063164483 - 2.0696206777060492321e-1897j)  +/-  (4.27e-505, 4.27e-505j)
-------------------------------------------------
The weights are:
| (0.00032152964966747036936 + 1.3016736175071119437e-1588j)  +/-  (1.13e-46, 9.29e-258j)
| (0.00083690219803808466943 - 5.0234550139899731041e-1590j)  +/-  (5.49e-47, 4.51e-258j)
| (0.00075016063201505836376 + 4.3964634566233618777e-1590j)  +/-  (5.22e-47, 4.28e-258j)
| (6.7324159878502841166e-05 - 1.3536113443580269772e-1591j)  +/-  (1.17e-48, 9.58e-260j)
| (0.001022267159195311083 - 2.3333094538906852364e-1588j)  +/-  (1.68e-48, 1.38e-259j)
| (0.00092765472330550778162 + 2.4572754583514706055e-1588j)  +/-  (1.52e-48, 1.25e-259j)
| (0.0001714187977535387173 + 5.1883225855692218481e-1593j)  +/-  (1.45e-49, 1.19e-260j)
| (0.0012224357082508651606 - 7.8348891872370215643e-1590j)  +/-  (5.9e-49, 4.84e-260j)
| (0.00051541060769097023097 - 2.7411772731522186935e-1590j)  +/-  (3.1e-49, 2.54e-260j)
| (0.00083690219803808466943 - 2.6167166248512432605e-1588j)  +/-  (3.05e-49, 2.51e-260j)
| (0.0014360757565362681286 - 2.023624787398247804e-1588j)  +/-  (2.05e-50, 1.68e-261j)
| (0.0018980032045393297872 - 1.2995577791314035178e-1589j)  +/-  (1.46e-50, 1.2e-261j)
| (0.0014360757565362681286 - 9.4296387042300064736e-1590j)  +/-  (7.06e-50, 5.8e-261j)
| (0.001327658660621180083 + 8.6163070212030581591e-1590j)  +/-  (1.39e-49, 1.14e-260j)
| (0.00021643986676179624012 - 3.3382713877551781084e-1588j)  +/-  (6.54e-54, 5.37e-265j)
| (0.0017786626386925788257 + 1.886171229471660279e-1588j)  +/-  (1.41e-52, 1.16e-263j)
| (0.0012224357082508651606 - 2.1516746655379987741e-1588j)  +/-  (1.69e-51, 1.38e-262j)
| (0.00066757439801262140519 - 3.819289358532932327e-1590j)  +/-  (1.14e-50, 9.37e-262j)
| (0.0025242826819600181679 + 1.813029278443341372e-1589j)  +/-  (7.02e-54, 5.77e-265j)
| (0.00092765472330550778162 + 5.6896085974256888629e-1590j)  +/-  (1.83e-50, 1.5e-261j)
| (0.001327658660621180083 + 2.0827007401230081444e-1588j)  +/-  (1.1e-51, 9.06e-263j)
| (0.0025242826819600181679 + 1.7029802245779958365e-1588j)  +/-  (2.67e-55, 2.2e-266j)
| (6.7324159878502841166e-05 - 4.4698318725490561072e-1589j)  +/-  (5.17e-57, 4.25e-268j)
| (0.0021432165533031924329 - 1.4961381380925155244e-1589j)  +/-  (8.65e-54, 7.1e-265j)
| (0.0017786626386925788257 + 1.2057857953362075313e-1589j)  +/-  (1.07e-52, 8.81e-264j)
| (0.00044608631298382887941 + 5.8393601741704077396e-1588j)  +/-  (1.53e-55, 1.26e-266j)
| (0.0026539940881838906617 - 1.6785337102905111447e-1588j)  +/-  (1.35e-56, 1.11e-267j)
| (0.0016617655647783074903 - 1.9267916156124069186e-1588j)  +/-  (2.99e-54, 2.45e-265j)
| (0.001022267159195311083 - 6.3697862622103686074e-1590j)  +/-  (1.03e-52, 8.44e-264j)
| (0.0037088144099781985079 - 2.911513514409612443e-1589j)  +/-  (4.69e-60, 3.85e-271j)
| (0.00013151631943345003282 - 1.1753647071095964291e-1588j)  +/-  (4.34e-57, 3.57e-268j)
| (0.0020195886317243293414 + 1.8157869795567390538e-1588j)  +/-  (2.48e-56, 2.04e-267j)
| (0.0030481764259031080942 + 1.6107934829555501603e-1588j)  +/-  (2.53e-59, 2.08e-270j)
| (9.679884553875167752e-05 + 7.2818421475221772775e-1589j)  +/-  (3.06e-57, 2.51e-268j)
| (0.0030481764259031080942 + 2.2749264159495403578e-1589j)  +/-  (7.41e-60, 6.08e-271j)
| (0.0020195886317243293414 + 1.3963541321464995646e-1589j)  +/-  (3.51e-56, 2.88e-267j)
| (0.00032152964966747036936 + 1.3662284110722779664e-1590j)  +/-  (1.13e-59, 9.28e-271j)
| (0.0037088144099781985079 - 1.5094101864946641864e-1588j)  +/-  (7.1e-63, 5.83e-274j)
| (0.0018980032045393297872 - 1.8494095623319509271e-1588j)  +/-  (6.86e-57, 5.63e-268j)
| (0.0027846920835282949986 + 2.0384970133127295545e-1589j)  +/-  (1.41e-59, 1.16e-270j)
| (0.0042248252907053060185 - 3.4643157957913928279e-1589j)  +/-  (9.17e-64, 7.53e-275j)
| (0.00021643986676179624012 + 6.7442209564444721767e-1591j)  +/-  (1.49e-60, 1.23e-271j)
| (0.0029161591340784565432 - 1.6325905980424745852e-1588j)  +/-  (4.73e-61, 3.88e-272j)
| (0.0035773473594280369633 + 1.5289300360367974877e-1588j)  +/-  (2.54e-63, 2.08e-274j)
| (2.7019501799257296412e-06 + 4.7267045573660974678e-1592j)  +/-  (3.58e-63, 2.94e-274j)
| (0.0039692238115464753386 - 3.1833191653569212554e-1589j)  +/-  (3.77e-64, 3.09e-275j)
| (0.0029161591340784565432 - 2.1553639953330061719e-1589j)  +/-  (5.23e-61, 4.29e-272j)
| (0.0015475065464395713823 + 1.9722013421850187401e-1588j)  +/-  (1.97e-58, 1.62e-269j)
| (0.0047148438548139146808 - 1.3596887630181921091e-1588j)  +/-  (3e-68, 2.46e-279j)
| (0.0021432165533031924329 - 1.7847390144121405969e-1588j)  +/-  (5.36e-60, 4.4e-271j)
| (0.0033129822642578095925 + 2.5219512579338765064e-1589j)  +/-  (4.83e-63, 3.96e-274j)
| (0.0044739178617821641651 - 3.7540716265066658357e-1589j)  +/-  (7.31e-67, 6e-278j)
| (2.7019501799257296412e-06 - 1.4289257457814132218e-1590j)  +/-  (1.7e-65, 1.39e-276j)
| (0.0039692238115464753386 - 1.4711132283781727704e-1588j)  +/-  (4.98e-66, 4.09e-277j)
| (0.0040977327368152668222 + 1.4522546658808545571e-1588j)  +/-  (1.21e-66, 9.94e-278j)
| (1.0803303590281641344e-05 - 2.0618206532636221785e-1591j)  +/-  (1.43e-65, 1.17e-276j)
| (0.0048317409287281860162 + 4.204156308482159099e-1589j)  +/-  (1.05e-69, 8.66e-281j)
| (0.0023957737566912266843 - 1.7045156846528793867e-1589j)  +/-  (8.75e-63, 7.19e-274j)
| (0.0023957737566912266843 - 1.7286617474155144213e-1588j)  +/-  (2.54e-62, 2.09e-273j)
| (0.0052710707852556283459 + 1.268338951569319554e-1588j)  +/-  (2.7e-72, 2.22e-283j)
| (0.0001714187977535387173 + 1.9706287639549736664e-1588j)  +/-  (1.07e-64, 8.81e-276j)
| (0.0035773473594280369633 + 2.7791888105714905628e-1589j)  +/-  (4.31e-66, 3.54e-277j)
| (0.0049459999470669221242 - 4.3580773731842754216e-1589j)  +/-  (6.16e-71, 5.06e-282j)
| (2.4290576327832007213e-05 - 1.3779935094701548869e-1589j)  +/-  (2.28e-66, 1.88e-277j)
| (0.0044739178617821641651 - 1.3964623694170841413e-1588j)  +/-  (5.41e-71, 4.44e-282j)
| (0.0038395124053226028448 + 1.490152527422630904e-1588j)  +/-  (6.76e-68, 5.55e-279j)
| (4.3141320158152869381e-05 + 2.6137273042630285186e-1589j)  +/-  (4.86e-66, 3.99e-277j)
| (0.0054712393343111824235 + 5.1542540194707563364e-1589j)  +/-  (3.34e-76, 2.74e-287j)
| (0.003180524229248683914 - 2.3971379541166371575e-1589j)  +/-  (2.63e-67, 2.16e-278j)
| (0.0034453300676033854123 - 1.5487632048751939803e-1588j)  +/-  (1.06e-67, 8.69e-279j)
| (0.0054712393343111824235 + 1.2318413184796764792e-1588j)  +/-  (2.81e-76, 2.31e-287j)
| (0.0011205820326451783635 + 2.2337117507315993305e-1588j)  +/-  (2.47e-65, 2.03e-276j)
| (0.0045955032889671637193 + 3.9020961310543452691e-1589j)  +/-  (3.59e-72, 2.95e-283j)
| (0.0047148438548139146808 - 4.0521433646380301986e-1589j)  +/-  (1.47e-72, 1.2e-283j)
| (0.00026650459333195009826 - 9.7838837172601887957e-1591j)  +/-  (7.16e-72, 5.88e-283j)
| (0.005372924460861315143 - 1.2500931457735259778e-1588j)  +/-  (1.66e-76, 1.36e-287j)
| (0.0033129822642578095925 + 1.5689694493069182914e-1588j)  +/-  (4.37e-69, 3.58e-280j)
| (0.00038142345199246348506 - 1.0379826838328355607e-1587j)  +/-  (1.62e-68, 1.33e-279j)
| (0.0058259320954938721013 + 5.8195006523208335063e-1589j)  +/-  (6.22e-81, 5.11e-292j)
| (0.00038142345199246348506 - 1.7919356251536982251e-1590j)  +/-  (1.33e-72, 1.09e-283j)
| (0.0042248252907053060185 - 1.4335445216991995197e-1588j)  +/-  (9.41e-73, 7.73e-284j)
| (0.0055658517702009857249 - 1.2135798556928643842e-1588j)  +/-  (3.16e-79, 2.59e-290j)
| (9.679884553875167752e-05 + 1.8103037614182795623e-1590j)  +/-  (6.95e-74, 5.71e-285j)
| (0.0050574307369702253779 + 4.5138484383095951428e-1589j)  +/-  (5.65e-77, 4.64e-288j)
| (0.0051658478328853134235 - 4.6714108930656757345e-1589j)  +/-  (5.98e-78, 4.91e-289j)
| (1.0803303590281641344e-05 + 5.8622914343331833843e-1590j)  +/-  (9.25e-71, 7.59e-282j)
| (0.0058259320954938721013 + 1.158715601758170175e-1588j)  +/-  (8.9e-83, 7.31e-294j)
| (0.0045955032889671637193 + 1.3780461014549703172e-1588j)  +/-  (2.67e-76, 2.19e-287j)
| (0.00058928095266690431386 + 3.2647969010055481926e-1590j)  +/-  (1.63e-74, 1.34e-285j)
| (0.0059780958858155232755 + 6.1602282063017822603e-1589j)  +/-  (2.39e-85, 1.96e-296j)
| (0.0026539940881838906617 - 1.9243707241708257763e-1589j)  +/-  (8.43e-75, 6.92e-286j)
| (0.0049459999470669221242 - 1.3230936132800501889e-1588j)  +/-  (7.76e-79, 6.37e-290j)
| (0.0057433458614914351427 - 1.177018360827921324e-1588j)  +/-  (2.15e-82, 1.76e-293j)
| (0.00051541060769097023097 - 4.3296479133186804207e-1588j)  +/-  (3.12e-74, 2.57e-285j)
| (0.0056566042954684088371 + 5.4840136903650333587e-1589j)  +/-  (1.53e-84, 1.26e-295j)
| (0.0052710707852556283459 + 4.8307056781459150364e-1589j)  +/-  (7.22e-82, 5.93e-293j)
| (0.00058928095266690431386 + 3.5775642580785845406e-1588j)  +/-  (1.03e-74, 8.48e-286j)
| (0.0060474201805226646271 - 1.1037178767855912942e-1588j)  +/-  (1.81e-87, 1.49e-298j)
| (0.0027846920835282949986 + 1.6551250725819341517e-1588j)  +/-  (8.03e-75, 6.59e-286j)
| (0.0016617655647783074903 - 1.1150735612253259551e-1589j)  +/-  (1.74e-78, 1.43e-289j)
| (0.0061120830415140300214 + 6.5057087260914969017e-1589j)  +/-  (3.45e-89, 2.83e-300j)
| (0.00044608631298382887941 + 2.2496400258629700676e-1590j)  +/-  (5.76e-79, 4.73e-290j)
| (0.0056566042954684088371 + 1.1953061223434252898e-1588j)  +/-  (6.09e-84, 5e-295j)
| (0.0050574307369702253779 + 1.3048325601843402116e-1588j)  +/-  (5.27e-82, 4.33e-293j)
| (0.0015475065464395713823 + 1.02745516373994516e-1589j)  +/-  (1.11e-78, 9.12e-290j)
| (0.0060474201805226646271 - 6.3324048079825933928e-1589j)  +/-  (6.99e-89, 5.74e-300j)
| (0.0040977327368152668222 + 3.3226953110910767441e-1589j)  +/-  (5.35e-82, 4.39e-293j)
| (0.0038395124053226028448 + 3.0462409620865378204e-1589j)  +/-  (1.44e-81, 1.18e-292j)
| (0.0062270019001745434082 + 1.0486110424457408686e-1588j)  +/-  (5.25e-93, 4.31e-304j)
| (2.4290576327832007213e-05 + 5.6043620196753421387e-1591j)  +/-  (6.82e-83, 5.6e-294j)
| (0.005372924460861315143 - 4.991673328834506449e-1589j)  +/-  (6.5e-87, 5.34e-298j)
| (0.0057433458614914351427 - 5.6510716359363452421e-1589j)  +/-  (3.01e-89, 2.47e-300j)
| (4.3141320158152869381e-05 - 1.5591450194779538663e-1590j)  +/-  (8.07e-83, 6.63e-294j)
| (0.0059780958858155232755 + 1.1220646909858575798e-1588j)  +/-  (3.06e-93, 2.51e-304j)
| (0.0043502899402033010736 + 1.4149550336005590961e-1588j)  +/-  (1.41e-86, 1.16e-297j)
| (0.00013151631943345003282 - 7.9934467858756967431e-1591j)  +/-  (1.39e-82, 1.14e-293j)
| (0.0061719768438390231371 - 6.6800791712348918879e-1589j)  +/-  (9.94e-95, 8.16e-306j)
| (0.0034453300676033854123 - 2.649317979730567301e-1589j)  +/-  (1.02e-84, 8.37e-296j)
| (0.003180524229248683914 - 1.5896187821053774197e-1588j)  +/-  (8.24e-86, 6.77e-297j)
| (0.0062770666267446972664 - 1.0302278724786985121e-1588j)  +/-  (2.35e-97, 1.93e-308j)
| (0.00066757439801262140519 - 3.128112426821909577e-1588j)  +/-  (6.8e-87, 5.58e-298j)
| (0.0064503651733483406371 + 7.9254860980528360152e-1589j)  +/-  (4.15e-100, 3.41e-311j)
| (0.0062270019001745434082 + 6.8554555407420562408e-1589j)  +/-  (2.3e-96, 1.89e-307j)
| (0.002268681202801187488 + 1.7558173085905192191e-1588j)  +/-  (8.45e-87, 6.94e-298j)
| (0.0061719768438390231371 - 1.06698888377077708e-1588j)  +/-  (1.51e-96, 1.24e-307j)
| (0.0061120830415140300214 + 1.0853586230473881024e-1588j)  +/-  (5.65e-96, 4.64e-307j)
| (0.002268681202801187488 + 1.5988717696811775416e-1589j)  +/-  (3.16e-88, 2.6e-299j)
| (0.0063619901740730434737 - 7.3870184418854688313e-1589j)  +/-  (3.98e-100, 3.27e-311j)
| (0.0063220876957529547892 + 7.2089849928052563121e-1589j)  +/-  (1.33e-99, 1.09e-310j)
| (0.00026650459333195009826 + 7.7368446198679150901e-1588j)  +/-  (1.13e-91, 9.26e-303j)
| (0.0063619901740730434737 - 9.9345837943784419926e-1589j)  +/-  (6.69e-102, 5.49e-313j)
| (0.0043502899402033010736 + 3.6081262605429431396e-1589j)  +/-  (1.8e-92, 1.48e-303j)
| (0.0062770666267446972664 - 7.0317774875800312432e-1589j)  +/-  (4.11e-99, 3.38e-310j)
| (0.0055658517702009857249 - 5.3183876093773271366e-1589j)  +/-  (1.42e-95, 1.16e-306j)
| (0.0064827031899162118651 + 8.2875272052380431516e-1589j)  +/-  (4.7e-104, 3.86e-315j)
| (0.0063220876957529547892 + 1.0118425015521765058e-1588j)  +/-  (6.9e-102, 5.66e-313j)
| (0.0048317409287281860162 + 1.3413754724902474621e-1588j)  +/-  (4.58e-97, 3.76e-308j)
| (0.0059042255408395891926 - 5.9892398314885351557e-1589j)  +/-  (1.2e-97, 9.81e-309j)
| (0.006396707647967741829 + 7.565818705264572796e-1589j)  +/-  (6.39e-102, 5.25e-313j)
| (0.00075016063201505836376 + 2.8295638012331259536e-1588j)  +/-  (5.11e-96, 4.19e-307j)
| (0.0051658478328853134235 - 1.2865834444926085299e-1588j)  +/-  (3.14e-98, 2.58e-309j)
| (0.006396707647967741829 + 9.7507924884805708479e-1589j)  +/-  (2.79e-104, 2.29e-315j)
| (0.0064827031899162118651 + 9.0169633079337912124e-1589j)  +/-  (2.26e-106, 1.85e-317j)
| (0.0064692159171786614993 - 8.1062381864165335447e-1589j)  +/-  (4.16e-105, 3.42e-316j)
| (0.0011205820326451783635 + 7.0858128002020316886e-1590j)  +/-  (4.2e-100, 3.45e-311j)
| (0.0064908045433265677769 - 8.8340682386546777882e-1589j)  +/-  (1.14e-106, 9.38e-318j)
| (0.0064261823336279906653 - 9.5670911896672576494e-1589j)  +/-  (2.11e-106, 1.73e-317j)
| (0.0059042255408395891926 - 1.1403975852043429808e-1588j)  +/-  (5e-104, 4.11e-315j)
| (0.0064935064935064935065 + 8.6514958570615880983e-1589j)  +/-  (5.5e-107, 4.51e-318j)
| (0.0064261823336279906653 - 7.7453272235875553842e-1589j)  +/-  (2.64e-106, 2.17e-317j)
| (0.0064908045433265677769 - 8.4692978390302037403e-1589j)  +/-  (5.07e-107, 4.17e-318j)
| (0.0064692159171786614993 - 9.2001308791028511947e-1589j)  +/-  (5.6e-108, 4.61e-319j)
| (0.0064503651733483406371 + 9.3835224134780444405e-1589j)  +/-  (5.54e-108, 4.53e-319j)
