Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 31.3 | ||
Character | \(\chi\) | \(=\) | 115.31 |
Dual form | 115.2.g.c.26.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0393306 | + | 0.273550i | −0.0278109 | + | 0.193429i | −0.998991 | − | 0.0449192i | \(-0.985697\pi\) |
0.971180 | + | 0.238349i | \(0.0766061\pi\) | |||||||
\(3\) | 0.955665 | + | 2.09261i | 0.551754 | + | 1.20817i | 0.955958 | + | 0.293503i | \(0.0948211\pi\) |
−0.404205 | + | 0.914669i | \(0.632452\pi\) | |||||||
\(4\) | 1.84570 | + | 0.541947i | 0.922852 | + | 0.270974i | ||||
\(5\) | −0.654861 | − | 0.755750i | −0.292863 | − | 0.337981i | ||||
\(6\) | −0.610022 | + | 0.179119i | −0.249041 | + | 0.0731249i | ||||
\(7\) | −2.63800 | − | 1.69534i | −0.997072 | − | 0.640779i | −0.0630557 | − | 0.998010i | \(-0.520085\pi\) |
−0.934016 | + | 0.357231i | \(0.883721\pi\) | |||||||
\(8\) | −0.450453 | + | 0.986355i | −0.159259 | + | 0.348729i | ||||
\(9\) | −1.50116 | + | 1.73243i | −0.500386 | + | 0.577476i | ||||
\(10\) | 0.232492 | − | 0.149413i | 0.0735203 | − | 0.0472486i | ||||
\(11\) | −0.369695 | − | 2.57128i | −0.111467 | − | 0.775271i | −0.966494 | − | 0.256688i | \(-0.917369\pi\) |
0.855027 | − | 0.518583i | \(-0.173540\pi\) | |||||||
\(12\) | 0.629787 | + | 4.38027i | 0.181804 | + | 1.26447i | ||||
\(13\) | −0.0559711 | + | 0.0359704i | −0.0155236 | + | 0.00997640i | −0.548380 | − | 0.836230i | \(-0.684755\pi\) |
0.532856 | + | 0.846206i | \(0.321119\pi\) | |||||||
\(14\) | 0.567516 | − | 0.654948i | 0.151675 | − | 0.175042i | ||||
\(15\) | 0.955665 | − | 2.09261i | 0.246752 | − | 0.540311i | ||||
\(16\) | 2.98441 | + | 1.91796i | 0.746102 | + | 0.479491i | ||||
\(17\) | −1.42241 | + | 0.417657i | −0.344985 | + | 0.101297i | −0.449635 | − | 0.893212i | \(-0.648446\pi\) |
0.104650 | + | 0.994509i | \(0.466628\pi\) | |||||||
\(18\) | −0.414865 | − | 0.478780i | −0.0977846 | − | 0.112849i | ||||
\(19\) | 4.42817 | + | 1.30023i | 1.01589 | + | 0.298293i | 0.746962 | − | 0.664867i | \(-0.231512\pi\) |
0.268930 | + | 0.963160i | \(0.413330\pi\) | |||||||
\(20\) | −0.799102 | − | 1.74979i | −0.178685 | − | 0.391265i | ||||
\(21\) | 1.02665 | − | 7.14051i | 0.224033 | − | 1.55819i | ||||
\(22\) | 0.717915 | 0.153060 | ||||||||
\(23\) | −2.65025 | − | 3.99702i | −0.552615 | − | 0.833436i | ||||
\(24\) | −2.49454 | −0.509197 | ||||||||
\(25\) | −0.142315 | + | 0.989821i | −0.0284630 | + | 0.197964i | ||||
\(26\) | −0.00763835 | − | 0.0167256i | −0.00149800 | − | 0.00328017i | ||||
\(27\) | 1.56205 | + | 0.458659i | 0.300617 | + | 0.0882690i | ||||
\(28\) | −3.95019 | − | 4.55876i | −0.746515 | − | 0.861524i | ||||
\(29\) | −9.93501 | + | 2.91718i | −1.84488 | + | 0.541707i | −0.844908 | + | 0.534912i | \(0.820345\pi\) |
−0.999977 | + | 0.00679455i | \(0.997837\pi\) | |||||||
\(30\) | 0.534849 | + | 0.343726i | 0.0976495 | + | 0.0627556i | ||||
\(31\) | 3.45291 | − | 7.56083i | 0.620162 | − | 1.35796i | −0.295240 | − | 0.955423i | \(-0.595400\pi\) |
0.915402 | − | 0.402541i | \(-0.131873\pi\) | |||||||
\(32\) | −2.06223 | + | 2.37994i | −0.364554 | + | 0.420718i | ||||
\(33\) | 5.02740 | − | 3.23091i | 0.875158 | − | 0.562430i | ||||
\(34\) | −0.0583060 | − | 0.405527i | −0.00999939 | − | 0.0695473i | ||||
\(35\) | 0.446271 | + | 3.10388i | 0.0754336 | + | 0.524652i | ||||
\(36\) | −3.70958 | + | 2.38400i | −0.618263 | + | 0.397333i | ||||
\(37\) | −3.92880 | + | 4.53408i | −0.645891 | + | 0.745398i | −0.980405 | − | 0.196993i | \(-0.936882\pi\) |
0.334514 | + | 0.942391i | \(0.391428\pi\) | |||||||
\(38\) | −0.529840 | + | 1.16019i | −0.0859515 | + | 0.188207i | ||||
\(39\) | −0.128762 | − | 0.0827502i | −0.0206184 | − | 0.0132506i | ||||
\(40\) | 1.04042 | − | 0.305495i | 0.164505 | − | 0.0483031i | ||||
\(41\) | −2.55857 | − | 2.95275i | −0.399581 | − | 0.461141i | 0.519928 | − | 0.854210i | \(-0.325959\pi\) |
−0.919509 | + | 0.393069i | \(0.871413\pi\) | |||||||
\(42\) | 1.91291 | + | 0.561681i | 0.295168 | + | 0.0866692i | ||||
\(43\) | 3.26842 | + | 7.15685i | 0.498430 | + | 1.09141i | 0.976976 | + | 0.213347i | \(0.0684366\pi\) |
−0.478546 | + | 0.878062i | \(0.658836\pi\) | |||||||
\(44\) | 0.711153 | − | 4.94618i | 0.107210 | − | 0.745664i | ||||
\(45\) | 2.29233 | 0.341721 | ||||||||
\(46\) | 1.19762 | − | 0.567772i | 0.176580 | − | 0.0837134i | ||||
\(47\) | 8.42088 | 1.22831 | 0.614156 | − | 0.789185i | \(-0.289497\pi\) | ||||
0.614156 | + | 0.789185i | \(0.289497\pi\) | |||||||
\(48\) | −1.16146 | + | 8.07815i | −0.167643 | + | 1.16598i | ||||
\(49\) | 1.17697 | + | 2.57722i | 0.168139 | + | 0.368174i | ||||
\(50\) | −0.265169 | − | 0.0778605i | −0.0375005 | − | 0.0110111i | ||||
\(51\) | −2.23334 | − | 2.57741i | −0.312730 | − | 0.360910i | ||||
\(52\) | −0.122800 | + | 0.0360573i | −0.0170293 | + | 0.00500025i | ||||
\(53\) | −0.190337 | − | 0.122322i | −0.0261448 | − | 0.0168022i | 0.527503 | − | 0.849553i | \(-0.323128\pi\) |
−0.553648 | + | 0.832751i | \(0.686765\pi\) | |||||||
\(54\) | −0.186903 | + | 0.409260i | −0.0254342 | + | 0.0556932i | ||||
\(55\) | −1.70115 | + | 1.96323i | −0.229383 | + | 0.264722i | ||||
\(56\) | 2.86051 | − | 1.83834i | 0.382251 | − | 0.245658i | ||||
\(57\) | 1.51097 | + | 10.5090i | 0.200133 | + | 1.39196i | ||||
\(58\) | −0.407246 | − | 2.83246i | −0.0534740 | − | 0.371920i | ||||
\(59\) | 0.709087 | − | 0.455703i | 0.0923153 | − | 0.0593274i | −0.493669 | − | 0.869650i | \(-0.664344\pi\) |
0.585984 | + | 0.810323i | \(0.300708\pi\) | |||||||
\(60\) | 2.89796 | − | 3.34443i | 0.374125 | − | 0.431763i | ||||
\(61\) | −3.25234 | + | 7.12164i | −0.416420 | + | 0.911832i | 0.578918 | + | 0.815386i | \(0.303475\pi\) |
−0.995338 | + | 0.0964468i | \(0.969252\pi\) | |||||||
\(62\) | 1.93246 | + | 1.24192i | 0.245423 | + | 0.157724i | ||||
\(63\) | 6.89712 | − | 2.02518i | 0.868956 | − | 0.255148i | ||||
\(64\) | 4.07641 | + | 4.70443i | 0.509551 | + | 0.588053i | ||||
\(65\) | 0.0638379 | + | 0.0187445i | 0.00791812 | + | 0.00232497i | ||||
\(66\) | 0.686087 | + | 1.50232i | 0.0844514 | + | 0.184923i | ||||
\(67\) | 1.42203 | − | 9.89044i | 0.173729 | − | 1.20831i | −0.697192 | − | 0.716885i | \(-0.745567\pi\) |
0.870920 | − | 0.491424i | \(-0.163524\pi\) | |||||||
\(68\) | −2.85169 | −0.345818 | ||||||||
\(69\) | 5.83147 | − | 9.36577i | 0.702027 | − | 1.12751i | ||||
\(70\) | −0.866621 | −0.103581 | ||||||||
\(71\) | −1.22385 | + | 8.51208i | −0.145245 | + | 1.01020i | 0.778625 | + | 0.627490i | \(0.215918\pi\) |
−0.923869 | + | 0.382708i | \(0.874991\pi\) | |||||||
\(72\) | −1.03259 | − | 2.26105i | −0.121692 | − | 0.266468i | ||||
\(73\) | −8.56020 | − | 2.51350i | −1.00190 | − | 0.294183i | −0.260662 | − | 0.965430i | \(-0.583941\pi\) |
−0.741234 | + | 0.671247i | \(0.765759\pi\) | |||||||
\(74\) | −1.08578 | − | 1.25305i | −0.126219 | − | 0.145664i | ||||
\(75\) | −2.20732 | + | 0.648128i | −0.254879 | + | 0.0748393i | ||||
\(76\) | 7.46843 | + | 4.79967i | 0.856688 | + | 0.550560i | ||||
\(77\) | −3.38395 | + | 7.40981i | −0.385637 | + | 0.844426i | ||||
\(78\) | 0.0277006 | − | 0.0319682i | 0.00313648 | − | 0.00361969i | ||||
\(79\) | −12.5251 | + | 8.04939i | −1.40918 | + | 0.905627i | −0.999977 | − | 0.00681550i | \(-0.997831\pi\) |
−0.409206 | + | 0.912442i | \(0.634194\pi\) | |||||||
\(80\) | −0.504872 | − | 3.51146i | −0.0564464 | − | 0.392594i | ||||
\(81\) | 1.51170 | + | 10.5141i | 0.167966 | + | 1.16823i | ||||
\(82\) | 0.908355 | − | 0.583764i | 0.100311 | − | 0.0644660i | ||||
\(83\) | −5.87671 | + | 6.78209i | −0.645053 | + | 0.744431i | −0.980260 | − | 0.197714i | \(-0.936648\pi\) |
0.335207 | + | 0.942145i | \(0.391194\pi\) | |||||||
\(84\) | 5.76467 | − | 12.6229i | 0.628977 | − | 1.37727i | ||||
\(85\) | 1.24712 | + | 0.801477i | 0.135269 | + | 0.0869324i | ||||
\(86\) | −2.08631 | + | 0.612595i | −0.224972 | + | 0.0660579i | ||||
\(87\) | −15.5991 | − | 18.0023i | −1.67240 | − | 1.93005i | ||||
\(88\) | 2.70273 | + | 0.793593i | 0.288112 | + | 0.0845973i | ||||
\(89\) | 0.984223 | + | 2.15515i | 0.104327 | + | 0.228445i | 0.954596 | − | 0.297904i | \(-0.0962876\pi\) |
−0.850268 | + | 0.526350i | \(0.823560\pi\) | |||||||
\(90\) | −0.0901588 | + | 0.627068i | −0.00950357 | + | 0.0660988i | ||||
\(91\) | 0.208634 | 0.0218708 | ||||||||
\(92\) | −2.72540 | − | 8.81361i | −0.284143 | − | 0.918882i | ||||
\(93\) | 19.1217 | 1.98283 | ||||||||
\(94\) | −0.331198 | + | 2.30353i | −0.0341605 | + | 0.237591i | ||||
\(95\) | −1.91719 | − | 4.19806i | −0.196699 | − | 0.430711i | ||||
\(96\) | −6.95110 | − | 2.04103i | −0.709443 | − | 0.208311i | ||||
\(97\) | 5.06792 | + | 5.84870i | 0.514570 | + | 0.593845i | 0.952263 | − | 0.305279i | \(-0.0987498\pi\) |
−0.437693 | + | 0.899124i | \(0.644204\pi\) | |||||||
\(98\) | −0.751289 | + | 0.220598i | −0.0758917 | + | 0.0222838i | ||||
\(99\) | 5.00953 | + | 3.21943i | 0.503477 | + | 0.323565i | ||||
\(100\) | −0.799102 | + | 1.74979i | −0.0799102 | + | 0.174979i | ||||
\(101\) | 6.39605 | − | 7.38144i | 0.636431 | − | 0.734481i | −0.342308 | − | 0.939588i | \(-0.611209\pi\) |
0.978740 | + | 0.205107i | \(0.0657542\pi\) | |||||||
\(102\) | 0.792891 | − | 0.509560i | 0.0785079 | − | 0.0504539i | ||||
\(103\) | −1.81971 | − | 12.6564i | −0.179301 | − | 1.24707i | −0.858385 | − | 0.513007i | \(-0.828532\pi\) |
0.679083 | − | 0.734061i | \(-0.262378\pi\) | |||||||
\(104\) | −0.0102673 | − | 0.0714104i | −0.00100679 | − | 0.00700236i | ||||
\(105\) | −6.06875 | + | 3.90015i | −0.592249 | + | 0.380615i | ||||
\(106\) | 0.0409473 | − | 0.0472557i | 0.00397715 | − | 0.00458988i | ||||
\(107\) | 4.40067 | − | 9.63613i | 0.425429 | − | 0.931560i | −0.568617 | − | 0.822602i | \(-0.692522\pi\) |
0.994046 | − | 0.108957i | \(-0.0347512\pi\) | |||||||
\(108\) | 2.63451 | + | 1.69310i | 0.253506 | + | 0.162918i | ||||
\(109\) | 5.06703 | − | 1.48781i | 0.485333 | − | 0.142507i | −0.0299066 | − | 0.999553i | \(-0.509521\pi\) |
0.515240 | + | 0.857046i | \(0.327703\pi\) | |||||||
\(110\) | −0.470135 | − | 0.542564i | −0.0448256 | − | 0.0517315i | ||||
\(111\) | −13.2427 | − | 3.88841i | −1.25694 | − | 0.369071i | ||||
\(112\) | −4.62128 | − | 10.1192i | −0.436670 | − | 0.956173i | ||||
\(113\) | −1.39643 | + | 9.71237i | −0.131365 | + | 0.913663i | 0.812413 | + | 0.583082i | \(0.198154\pi\) |
−0.943778 | + | 0.330580i | \(0.892756\pi\) | |||||||
\(114\) | −2.93418 | −0.274811 | ||||||||
\(115\) | −1.28520 | + | 4.62042i | −0.119846 | + | 0.430856i | ||||
\(116\) | −19.9180 | −1.84934 | ||||||||
\(117\) | 0.0217052 | − | 0.150963i | 0.00200665 | − | 0.0139566i | ||||
\(118\) | 0.0967688 | + | 0.211894i | 0.00890829 | + | 0.0195064i | ||||
\(119\) | 4.46039 | + | 1.30969i | 0.408883 | + | 0.120059i | ||||
\(120\) | 1.63358 | + | 1.88525i | 0.149125 | + | 0.172099i | ||||
\(121\) | 4.07960 | − | 1.19788i | 0.370873 | − | 0.108898i | ||||
\(122\) | −1.82021 | − | 1.16978i | −0.164794 | − | 0.105907i | ||||
\(123\) | 3.73382 | − | 8.17593i | 0.336668 | − | 0.737199i | ||||
\(124\) | 10.4706 | − | 12.0837i | 0.940290 | − | 1.08515i | ||||
\(125\) | 0.841254 | − | 0.540641i | 0.0752440 | − | 0.0483564i | ||||
\(126\) | 0.282720 | + | 1.96636i | 0.0251867 | + | 0.175177i | ||||
\(127\) | −1.56839 | − | 10.9084i | −0.139172 | − | 0.967961i | −0.933015 | − | 0.359838i | \(-0.882832\pi\) |
0.793843 | − | 0.608123i | \(-0.208077\pi\) | |||||||
\(128\) | −6.74563 | + | 4.33515i | −0.596235 | + | 0.383177i | ||||
\(129\) | −11.8530 | + | 13.6791i | −1.04360 | + | 1.20438i | ||||
\(130\) | −0.00763835 | + | 0.0167256i | −0.000669927 | + | 0.00146694i | ||||
\(131\) | 16.3828 | + | 10.5286i | 1.43138 | + | 0.919889i | 0.999842 | + | 0.0177925i | \(0.00566382\pi\) |
0.431534 | + | 0.902097i | \(0.357973\pi\) | |||||||
\(132\) | 11.0301 | − | 3.23872i | 0.960044 | − | 0.281894i | ||||
\(133\) | −9.47720 | − | 10.9373i | −0.821777 | − | 0.948382i | ||||
\(134\) | 2.64960 | + | 0.777994i | 0.228891 | + | 0.0672084i | ||||
\(135\) | −0.676293 | − | 1.48088i | −0.0582061 | − | 0.127454i | ||||
\(136\) | 0.228771 | − | 1.59113i | 0.0196169 | − | 0.136439i | ||||
\(137\) | −1.63434 | −0.139631 | −0.0698156 | − | 0.997560i | \(-0.522241\pi\) | ||||
−0.0698156 | + | 0.997560i | \(0.522241\pi\) | |||||||
\(138\) | 2.33265 | + | 1.96356i | 0.198569 | + | 0.167150i | ||||
\(139\) | 4.91600 | 0.416970 | 0.208485 | − | 0.978026i | \(-0.433147\pi\) | ||||
0.208485 | + | 0.978026i | \(0.433147\pi\) | |||||||
\(140\) | −0.858457 | + | 5.97070i | −0.0725529 | + | 0.504616i | ||||
\(141\) | 8.04754 | + | 17.6216i | 0.677725 | + | 1.48401i | ||||
\(142\) | −2.28035 | − | 0.669570i | −0.191363 | − | 0.0561891i | ||||
\(143\) | 0.113182 | + | 0.130619i | 0.00946478 | + | 0.0109229i | ||||
\(144\) | −7.80280 | + | 2.29111i | −0.650234 | + | 0.190926i | ||||
\(145\) | 8.71070 | + | 5.59803i | 0.723385 | + | 0.464891i | ||||
\(146\) | 1.02425 | − | 2.24279i | 0.0847673 | − | 0.185614i | ||||
\(147\) | −4.26833 | + | 4.92591i | −0.352046 | + | 0.406282i | ||||
\(148\) | −9.70863 | + | 6.23936i | −0.798045 | + | 0.512872i | ||||
\(149\) | −1.10401 | − | 7.67859i | −0.0904444 | − | 0.629055i | −0.983742 | − | 0.179589i | \(-0.942523\pi\) |
0.893297 | − | 0.449466i | \(-0.148386\pi\) | |||||||
\(150\) | −0.0904803 | − | 0.629304i | −0.00738769 | − | 0.0513825i | ||||
\(151\) | −7.73630 | + | 4.97182i | −0.629571 | + | 0.404601i | −0.816151 | − | 0.577839i | \(-0.803896\pi\) |
0.186580 | + | 0.982440i | \(0.440260\pi\) | |||||||
\(152\) | −3.27717 | + | 3.78206i | −0.265814 | + | 0.306765i | ||||
\(153\) | 1.41170 | − | 3.09119i | 0.114129 | − | 0.249908i | ||||
\(154\) | −1.89386 | − | 1.21711i | −0.152612 | − | 0.0980777i | ||||
\(155\) | −7.97527 | + | 2.34175i | −0.640589 | + | 0.188094i | ||||
\(156\) | −0.192810 | − | 0.222514i | −0.0154371 | − | 0.0178154i | ||||
\(157\) | 21.3140 | + | 6.25834i | 1.70104 | + | 0.499470i | 0.980925 | − | 0.194386i | \(-0.0622713\pi\) |
0.720114 | + | 0.693856i | \(0.244089\pi\) | |||||||
\(158\) | −1.70929 | − | 3.74283i | −0.135984 | − | 0.297764i | ||||
\(159\) | 0.0740746 | − | 0.515201i | 0.00587450 | − | 0.0408581i | ||||
\(160\) | 3.14911 | 0.248959 | ||||||||
\(161\) | 0.215052 | + | 15.0372i | 0.0169485 | + | 1.18510i | ||||
\(162\) | −2.93559 | −0.230642 | ||||||||
\(163\) | 0.883172 | − | 6.14260i | 0.0691754 | − | 0.481125i | −0.925556 | − | 0.378611i | \(-0.876402\pi\) |
0.994731 | − | 0.102515i | \(-0.0326889\pi\) | |||||||
\(164\) | −3.12213 | − | 6.83650i | −0.243797 | − | 0.533841i | ||||
\(165\) | −5.73401 | − | 1.68366i | −0.446392 | − | 0.131072i | ||||
\(166\) | −1.62411 | − | 1.87432i | −0.126055 | − | 0.145475i | ||||
\(167\) | 18.9238 | − | 5.55653i | 1.46437 | − | 0.429977i | 0.550104 | − | 0.835096i | \(-0.314588\pi\) |
0.914264 | + | 0.405118i | \(0.132770\pi\) | |||||||
\(168\) | 6.58062 | + | 4.22911i | 0.507706 | + | 0.326283i | ||||
\(169\) | −5.39856 | + | 11.8212i | −0.415274 | + | 0.909322i | ||||
\(170\) | −0.268295 | + | 0.309628i | −0.0205772 | + | 0.0237474i | ||||
\(171\) | −8.89994 | + | 5.71964i | −0.680595 | + | 0.437392i | ||||
\(172\) | 2.15390 | + | 14.9807i | 0.164234 | + | 1.14227i | ||||
\(173\) | −0.883039 | − | 6.14167i | −0.0671362 | − | 0.466943i | −0.995461 | − | 0.0951721i | \(-0.969660\pi\) |
0.928325 | − | 0.371771i | \(-0.121249\pi\) | |||||||
\(174\) | 5.53805 | − | 3.55909i | 0.419839 | − | 0.269814i | ||||
\(175\) | 2.05351 | − | 2.36988i | 0.155231 | − | 0.179146i | ||||
\(176\) | 3.82830 | − | 8.38282i | 0.288569 | − | 0.631879i | ||||
\(177\) | 1.63126 | + | 1.04835i | 0.122613 | + | 0.0787986i | ||||
\(178\) | −0.628252 | + | 0.184471i | −0.0470894 | + | 0.0138267i | ||||
\(179\) | −4.07334 | − | 4.70088i | −0.304455 | − | 0.351360i | 0.582819 | − | 0.812602i | \(-0.301950\pi\) |
−0.887275 | + | 0.461242i | \(0.847404\pi\) | |||||||
\(180\) | 4.23096 | + | 1.24232i | 0.315357 | + | 0.0925973i | ||||
\(181\) | −8.12766 | − | 17.7971i | −0.604124 | − | 1.32285i | −0.926521 | − | 0.376243i | \(-0.877216\pi\) |
0.322397 | − | 0.946605i | \(-0.395511\pi\) | |||||||
\(182\) | −0.00820570 | + | 0.0570719i | −0.000608247 | + | 0.00423045i | ||||
\(183\) | −18.0110 | −1.33141 | ||||||||
\(184\) | 5.13630 | − | 0.813617i | 0.378653 | − | 0.0599806i | ||||
\(185\) | 5.99944 | 0.441088 | ||||||||
\(186\) | −0.752069 | + | 5.23075i | −0.0551444 | + | 0.383538i | ||||
\(187\) | 1.59977 | + | 3.50301i | 0.116987 | + | 0.256165i | ||||
\(188\) | 15.5424 | + | 4.56367i | 1.13355 | + | 0.332840i | ||||
\(189\) | −3.34311 | − | 3.85815i | −0.243175 | − | 0.280639i | ||||
\(190\) | 1.22378 | − | 0.359335i | 0.0887826 | − | 0.0260689i | ||||
\(191\) | 16.2234 | + | 10.4261i | 1.17388 | + | 0.754407i | 0.974251 | − | 0.225464i | \(-0.0723898\pi\) |
0.199629 | + | 0.979871i | \(0.436026\pi\) | |||||||
\(192\) | −5.94887 | + | 13.0262i | −0.429323 | + | 0.940086i | ||||
\(193\) | 6.97279 | − | 8.04703i | 0.501912 | − | 0.579238i | −0.447097 | − | 0.894485i | \(-0.647542\pi\) |
0.949009 | + | 0.315248i | \(0.102088\pi\) | |||||||
\(194\) | −1.79924 | + | 1.15630i | −0.129178 | + | 0.0830175i | ||||
\(195\) | 0.0217826 | + | 0.151502i | 0.00155989 | + | 0.0108493i | ||||
\(196\) | 0.775631 | + | 5.39463i | 0.0554022 | + | 0.385331i | ||||
\(197\) | 3.66483 | − | 2.35524i | 0.261108 | − | 0.167804i | −0.403537 | − | 0.914963i | \(-0.632219\pi\) |
0.664645 | + | 0.747159i | \(0.268583\pi\) | |||||||
\(198\) | −1.07770 | + | 1.24374i | −0.0765891 | + | 0.0883886i | ||||
\(199\) | −6.56561 | + | 14.3767i | −0.465424 | + | 1.01914i | 0.520794 | + | 0.853682i | \(0.325636\pi\) |
−0.986218 | + | 0.165453i | \(0.947091\pi\) | |||||||
\(200\) | −0.912210 | − | 0.586242i | −0.0645030 | − | 0.0414535i | ||||
\(201\) | 22.0559 | − | 6.47618i | 1.55570 | − | 0.456795i | ||||
\(202\) | 1.76763 | + | 2.03996i | 0.124370 | + | 0.143531i | ||||
\(203\) | 31.1542 | + | 9.14770i | 2.18660 | + | 0.642043i | ||||
\(204\) | −2.72526 | − | 5.96749i | −0.190806 | − | 0.417808i | ||||
\(205\) | −0.556030 | + | 3.86727i | −0.0388348 | + | 0.270102i | ||||
\(206\) | 3.53372 | 0.246206 | ||||||||
\(207\) | 10.9030 | + | 1.40879i | 0.757811 | + | 0.0979177i | ||||
\(208\) | −0.236030 | −0.0163658 | ||||||||
\(209\) | 1.70618 | − | 11.8668i | 0.118019 | − | 0.820841i | ||||
\(210\) | −0.828199 | − | 1.81350i | −0.0571512 | − | 0.125144i | ||||
\(211\) | −19.7641 | − | 5.80325i | −1.36061 | − | 0.399513i | −0.481635 | − | 0.876372i | \(-0.659957\pi\) |
−0.878980 | + | 0.476859i | \(0.841775\pi\) | |||||||
\(212\) | −0.285013 | − | 0.328923i | −0.0195748 | − | 0.0225905i | ||||
\(213\) | −18.9821 | + | 5.57365i | −1.30063 | + | 0.381900i | ||||
\(214\) | 2.46288 | + | 1.58280i | 0.168359 | + | 0.108198i | ||||
\(215\) | 3.26842 | − | 7.15685i | 0.222905 | − | 0.488093i | ||||
\(216\) | −1.15603 | + | 1.33413i | −0.0786580 | + | 0.0907762i | ||||
\(217\) | −21.9270 | + | 14.0916i | −1.48850 | + | 0.956601i | ||||
\(218\) | 0.207703 | + | 1.44460i | 0.0140674 | + | 0.0978409i | ||||
\(219\) | −2.92089 | − | 20.3153i | −0.197376 | − | 1.37278i | ||||
\(220\) | −4.20378 | + | 2.70160i | −0.283419 | + | 0.182142i | ||||
\(221\) | 0.0645904 | − | 0.0745413i | 0.00434482 | − | 0.00501419i | ||||
\(222\) | 1.58452 | − | 3.46961i | 0.106346 | − | 0.232865i | ||||
\(223\) | −18.1838 | − | 11.6860i | −1.21768 | − | 0.782554i | −0.235751 | − | 0.971814i | \(-0.575755\pi\) |
−0.981927 | + | 0.189260i | \(0.939391\pi\) | |||||||
\(224\) | 9.47498 | − | 2.78210i | 0.633074 | − | 0.185887i | ||||
\(225\) | −1.50116 | − | 1.73243i | −0.100077 | − | 0.115495i | ||||
\(226\) | −2.60190 | − | 0.763987i | −0.173076 | − | 0.0508196i | ||||
\(227\) | 3.73531 | + | 8.17919i | 0.247921 | + | 0.542872i | 0.992150 | − | 0.125053i | \(-0.0399101\pi\) |
−0.744229 | + | 0.667925i | \(0.767183\pi\) | |||||||
\(228\) | −2.90654 | + | 20.2154i | −0.192490 | + | 1.33880i | ||||
\(229\) | 5.95956 | 0.393819 | 0.196909 | − | 0.980422i | \(-0.436910\pi\) | ||||
0.196909 | + | 0.980422i | \(0.436910\pi\) | |||||||
\(230\) | −1.21337 | − | 0.533291i | −0.0800072 | − | 0.0351642i | ||||
\(231\) | −18.7398 | −1.23299 | ||||||||
\(232\) | 1.59788 | − | 11.1135i | 0.104906 | − | 0.729637i | ||||
\(233\) | −1.20492 | − | 2.63841i | −0.0789371 | − | 0.172848i | 0.866049 | − | 0.499960i | \(-0.166652\pi\) |
−0.944986 | + | 0.327112i | \(0.893925\pi\) | |||||||
\(234\) | 0.0404424 | + | 0.0118749i | 0.00264380 | + | 0.000776290i | ||||
\(235\) | −5.51450 | − | 6.36407i | −0.359726 | − | 0.415146i | ||||
\(236\) | 1.55573 | − | 0.456804i | 0.101269 | − | 0.0297354i | ||||
\(237\) | −28.8141 | − | 18.5177i | −1.87167 | − | 1.20285i | ||||
\(238\) | −0.533696 | + | 1.16863i | −0.0345943 | + | 0.0757510i | ||||
\(239\) | −3.74380 | + | 4.32058i | −0.242167 | + | 0.279475i | −0.863802 | − | 0.503832i | \(-0.831923\pi\) |
0.621635 | + | 0.783307i | \(0.286469\pi\) | |||||||
\(240\) | 6.86565 | − | 4.41229i | 0.443176 | − | 0.284812i | ||||
\(241\) | −3.26674 | − | 22.7207i | −0.210429 | − | 1.46357i | −0.771727 | − | 0.635954i | \(-0.780607\pi\) |
0.561297 | − | 0.827614i | \(-0.310302\pi\) | |||||||
\(242\) | 0.167227 | + | 1.16309i | 0.0107498 | + | 0.0747663i | ||||
\(243\) | −16.4486 | + | 10.5709i | −1.05518 | + | 0.678122i | ||||
\(244\) | −9.86241 | + | 11.3818i | −0.631376 | + | 0.728647i | ||||
\(245\) | 1.17697 | − | 2.57722i | 0.0751942 | − | 0.164652i | ||||
\(246\) | 2.08968 | + | 1.34295i | 0.133233 | + | 0.0856236i | ||||
\(247\) | −0.294619 | + | 0.0865080i | −0.0187462 | + | 0.00550437i | ||||
\(248\) | 5.90229 | + | 6.81160i | 0.374795 | + | 0.432537i | ||||
\(249\) | −19.8085 | − | 5.81629i | −1.25531 | − | 0.368592i | ||||
\(250\) | 0.114805 | + | 0.251389i | 0.00726094 | + | 0.0158992i | ||||
\(251\) | 2.89077 | − | 20.1057i | 0.182464 | − | 1.26906i | −0.668450 | − | 0.743757i | \(-0.733042\pi\) |
0.850914 | − | 0.525305i | \(-0.176049\pi\) | |||||||
\(252\) | 13.8276 | 0.871056 | ||||||||
\(253\) | −9.29769 | + | 8.29222i | −0.584540 | + | 0.521327i | ||||
\(254\) | 3.04567 | 0.191103 | ||||||||
\(255\) | −0.485351 | + | 3.37569i | −0.0303939 | + | 0.211394i | ||||
\(256\) | 4.25122 | + | 9.30887i | 0.265701 | + | 0.581804i | ||||
\(257\) | −22.6095 | − | 6.63876i | −1.41034 | − | 0.414115i | −0.514121 | − | 0.857717i | \(-0.671882\pi\) |
−0.896223 | + | 0.443603i | \(0.853700\pi\) | |||||||
\(258\) | −3.27574 | − | 3.78040i | −0.203939 | − | 0.235358i | ||||
\(259\) | 18.0510 | − | 5.30025i | 1.12163 | − | 0.329342i | ||||
\(260\) | 0.107667 | + | 0.0691935i | 0.00667724 | + | 0.00429120i | ||||
\(261\) | 9.86021 | − | 21.5908i | 0.610332 | − | 1.33644i | ||||
\(262\) | −3.52445 | + | 4.06744i | −0.217741 | + | 0.251287i | ||||
\(263\) | 23.9371 | − | 15.3834i | 1.47602 | − | 0.948582i | 0.478511 | − | 0.878082i | \(-0.341177\pi\) |
0.997512 | − | 0.0705003i | \(-0.0224596\pi\) | |||||||
\(264\) | 0.922220 | + | 6.41418i | 0.0567587 | + | 0.394765i | ||||
\(265\) | 0.0321993 | + | 0.223951i | 0.00197799 | + | 0.0137572i | ||||
\(266\) | 3.36464 | − | 2.16232i | 0.206299 | − | 0.132580i | ||||
\(267\) | −3.56931 | + | 4.11920i | −0.218438 | + | 0.252091i | ||||
\(268\) | 7.98474 | − | 17.4841i | 0.487746 | − | 1.06801i | ||||
\(269\) | 10.0570 | + | 6.46323i | 0.613185 | + | 0.394070i | 0.810050 | − | 0.586360i | \(-0.199440\pi\) |
−0.196865 | + | 0.980431i | \(0.563076\pi\) | |||||||
\(270\) | 0.431693 | − | 0.126757i | 0.0262720 | − | 0.00771416i | ||||
\(271\) | −2.96267 | − | 3.41910i | −0.179969 | − | 0.207696i | 0.658596 | − | 0.752497i | \(-0.271151\pi\) |
−0.838565 | + | 0.544801i | \(0.816605\pi\) | |||||||
\(272\) | −5.04610 | − | 1.48167i | −0.305965 | − | 0.0898393i | ||||
\(273\) | 0.199384 | + | 0.436591i | 0.0120673 | + | 0.0264237i | ||||
\(274\) | 0.0642796 | − | 0.447075i | 0.00388328 | − | 0.0270088i | ||||
\(275\) | 2.59772 | 0.156649 | ||||||||
\(276\) | 15.8389 | − | 14.1261i | 0.953391 | − | 0.850290i | ||||
\(277\) | 10.9489 | 0.657855 | 0.328928 | − | 0.944355i | \(-0.393313\pi\) | ||||
0.328928 | + | 0.944355i | \(0.393313\pi\) | |||||||
\(278\) | −0.193349 | + | 1.34477i | −0.0115963 | + | 0.0806542i | ||||
\(279\) | 7.91522 | + | 17.3319i | 0.473872 | + | 1.03764i | ||||
\(280\) | −3.26256 | − | 0.957973i | −0.194975 | − | 0.0572498i | ||||
\(281\) | −1.91116 | − | 2.20560i | −0.114011 | − | 0.131575i | 0.695875 | − | 0.718162i | \(-0.255017\pi\) |
−0.809886 | + | 0.586587i | \(0.800471\pi\) | |||||||
\(282\) | −5.13692 | + | 1.50834i | −0.305899 | + | 0.0898201i | ||||
\(283\) | 12.7349 | + | 8.18424i | 0.757013 | + | 0.486503i | 0.861333 | − | 0.508041i | \(-0.169630\pi\) |
−0.104320 | + | 0.994544i | \(0.533267\pi\) | |||||||
\(284\) | −6.87197 | + | 15.0475i | −0.407776 | + | 0.892905i | ||||
\(285\) | 6.95272 | − | 8.02387i | 0.411844 | − | 0.475293i | ||||
\(286\) | −0.0401825 | + | 0.0258237i | −0.00237604 | + | 0.00152699i | ||||
\(287\) | 1.74360 | + | 12.1270i | 0.102921 | + | 0.715834i | ||||
\(288\) | −1.02734 | − | 7.14533i | −0.0605368 | − | 0.421043i | ||||
\(289\) | −12.4525 | + | 8.00274i | −0.732500 | + | 0.470749i | ||||
\(290\) | −1.87394 | + | 2.16264i | −0.110042 | + | 0.126995i | ||||
\(291\) | −7.39583 | + | 16.1946i | −0.433551 | + | 0.949345i | ||||
\(292\) | −14.4374 | − | 9.27835i | −0.844885 | − | 0.542975i | ||||
\(293\) | 2.26052 | − | 0.663749i | 0.132061 | − | 0.0387766i | −0.215034 | − | 0.976607i | \(-0.568986\pi\) |
0.347095 | + | 0.937830i | \(0.387168\pi\) | |||||||
\(294\) | −1.17961 | − | 1.36134i | −0.0687962 | − | 0.0793950i | ||||
\(295\) | −0.808751 | − | 0.237471i | −0.0470873 | − | 0.0138261i | ||||
\(296\) | −2.70247 | − | 5.91759i | −0.157078 | − | 0.343953i | ||||
\(297\) | 0.601861 | − | 4.18603i | 0.0349235 | − | 0.242898i | ||||
\(298\) | 2.14390 | 0.124193 | ||||||||
\(299\) | 0.292112 | + | 0.128387i | 0.0168933 | + | 0.00742481i | ||||
\(300\) | −4.42531 | −0.255495 | ||||||||
\(301\) | 3.51120 | − | 24.4209i | 0.202382 | − | 1.40760i | ||||
\(302\) | −1.05577 | − | 2.31181i | −0.0607527 | − | 0.133030i | ||||
\(303\) | 21.5590 | + | 6.33029i | 1.23853 | + | 0.363666i | ||||
\(304\) | 10.7217 | + | 12.3735i | 0.614931 | + | 0.709668i | ||||
\(305\) | 7.51201 | − | 2.20572i | 0.430136 | − | 0.126299i | ||||
\(306\) | 0.790073 | + | 0.507749i | 0.0451655 | + | 0.0290261i | ||||
\(307\) | 1.40309 | − | 3.07233i | 0.0800783 | − | 0.175347i | −0.865358 | − | 0.501154i | \(-0.832909\pi\) |
0.945436 | + | 0.325807i | \(0.105636\pi\) | |||||||
\(308\) | −10.2615 | + | 11.8424i | −0.584703 | + | 0.674783i | ||||
\(309\) | 24.7458 | − | 15.9032i | 1.40774 | − | 0.904701i | ||||
\(310\) | −0.326914 | − | 2.27374i | −0.0185675 | − | 0.129140i | ||||
\(311\) | 4.80765 | + | 33.4380i | 0.272617 | + | 1.89609i | 0.420834 | + | 0.907137i | \(0.361737\pi\) |
−0.148217 | + | 0.988955i | \(0.547354\pi\) | |||||||
\(312\) | 0.139622 | − | 0.0897298i | 0.00790456 | − | 0.00507995i | ||||
\(313\) | 4.97550 | − | 5.74203i | 0.281232 | − | 0.324559i | −0.597505 | − | 0.801865i | \(-0.703841\pi\) |
0.878737 | + | 0.477306i | \(0.158387\pi\) | |||||||
\(314\) | −2.55026 | + | 5.58430i | −0.143920 | + | 0.315140i | ||||
\(315\) | −6.04718 | − | 3.88629i | −0.340720 | − | 0.218967i | ||||
\(316\) | −27.4799 | + | 8.06884i | −1.54587 | + | 0.453908i | ||||
\(317\) | 10.6443 | + | 12.2842i | 0.597846 | + | 0.689951i | 0.971343 | − | 0.237680i | \(-0.0763871\pi\) |
−0.373498 | + | 0.927631i | \(0.621842\pi\) | |||||||
\(318\) | 0.138020 | + | 0.0405263i | 0.00773977 | + | 0.00227260i | ||||
\(319\) | 11.1738 | + | 24.4672i | 0.625613 | + | 1.36990i | ||||
\(320\) | 0.885888 | − | 6.16149i | 0.0495227 | − | 0.344438i | ||||
\(321\) | 24.3703 | 1.36022 | ||||||||
\(322\) | −4.12190 | − | 0.532596i | −0.229704 | − | 0.0296804i | ||||
\(323\) | −6.84171 | −0.380683 | ||||||||
\(324\) | −2.90794 | + | 20.2252i | −0.161552 | + | 1.12362i | ||||
\(325\) | −0.0276388 | − | 0.0605205i | −0.00153312 | − | 0.00335707i | ||||
\(326\) | 1.64557 | + | 0.483184i | 0.0911399 | + | 0.0267611i | ||||
\(327\) | 7.95580 | + | 9.18149i | 0.439957 | + | 0.507737i | ||||
\(328\) | 4.06497 | − | 1.19358i | 0.224451 | − | 0.0659046i | ||||
\(329\) | −22.2143 | − | 14.2763i | −1.22471 | − | 0.787076i | ||||
\(330\) | 0.686087 | − | 1.50232i | 0.0377678 | − | 0.0827000i | ||||
\(331\) | 7.49017 | − | 8.64412i | 0.411697 | − | 0.475124i | −0.511593 | − | 0.859228i | \(-0.670944\pi\) |
0.923290 | + | 0.384104i | \(0.125490\pi\) | |||||||
\(332\) | −14.5222 | + | 9.33285i | −0.797009 | + | 0.512207i | ||||
\(333\) | −1.95722 | − | 13.6127i | −0.107255 | − | 0.745973i | ||||
\(334\) | 0.775707 | + | 5.39516i | 0.0424448 | + | 0.295210i | ||||
\(335\) | −8.40593 | + | 5.40216i | −0.459265 | + | 0.295152i | ||||
\(336\) | 16.7592 | − | 19.3411i | 0.914288 | − | 1.05514i | ||||
\(337\) | −9.93247 | + | 21.7491i | −0.541056 | + | 1.18475i | 0.419779 | + | 0.907627i | \(0.362108\pi\) |
−0.960835 | + | 0.277122i | \(0.910620\pi\) | |||||||
\(338\) | −3.02136 | − | 1.94171i | −0.164340 | − | 0.105615i | ||||
\(339\) | −21.6588 | + | 6.35959i | −1.17634 | + | 0.345405i | ||||
\(340\) | 1.86746 | + | 2.15516i | 0.101277 | + | 0.116880i | ||||
\(341\) | −20.7175 | − | 6.08322i | −1.12192 | − | 0.329425i | ||||
\(342\) | −1.21457 | − | 2.65954i | −0.0656764 | − | 0.143811i | ||||
\(343\) | −1.85950 | + | 12.9331i | −0.100404 | + | 0.698322i | ||||
\(344\) | −8.53147 | −0.459986 | ||||||||
\(345\) | −10.8970 | + | 1.72614i | −0.586673 | + | 0.0929322i | ||||
\(346\) | 1.71479 | 0.0921875 | ||||||||
\(347\) | 0.129352 | − | 0.899663i | 0.00694398 | − | 0.0482964i | −0.986055 | − | 0.166421i | \(-0.946779\pi\) |
0.992999 | + | 0.118124i | \(0.0376881\pi\) | |||||||
\(348\) | −19.0350 | − | 41.6808i | −1.02038 | − | 2.23432i | ||||
\(349\) | 14.5628 | + | 4.27601i | 0.779527 | + | 0.228890i | 0.647204 | − | 0.762317i | \(-0.275938\pi\) |
0.132323 | + | 0.991207i | \(0.457756\pi\) | |||||||
\(350\) | 0.567516 | + | 0.654948i | 0.0303350 | + | 0.0350084i | ||||
\(351\) | −0.103928 | + | 0.0305159i | −0.00554725 | + | 0.00162882i | ||||
\(352\) | 6.88189 | + | 4.42272i | 0.366806 | + | 0.235732i | ||||
\(353\) | −11.6955 | + | 25.6097i | −0.622491 | + | 1.36306i | 0.291203 | + | 0.956661i | \(0.405944\pi\) |
−0.913694 | + | 0.406403i | \(0.866783\pi\) | |||||||
\(354\) | −0.350934 | + | 0.405000i | −0.0186519 | + | 0.0215255i | ||||
\(355\) | 7.23445 | − | 4.64930i | 0.383965 | − | 0.246759i | ||||
\(356\) | 0.648607 | + | 4.51116i | 0.0343761 | + | 0.239091i | ||||
\(357\) | 1.52197 | + | 10.5855i | 0.0805509 | + | 0.560244i | ||||
\(358\) | 1.44613 | − | 0.929374i | 0.0764306 | − | 0.0491189i | ||||
\(359\) | 2.59360 | − | 2.99317i | 0.136885 | − | 0.157974i | −0.683168 | − | 0.730261i | \(-0.739398\pi\) |
0.820053 | + | 0.572288i | \(0.193944\pi\) | |||||||
\(360\) | −1.03259 | + | 2.26105i | −0.0544222 | + | 0.119168i | ||||
\(361\) | 1.93428 | + | 1.24309i | 0.101804 | + | 0.0654257i | ||||
\(362\) | 5.18807 | − | 1.52335i | 0.272679 | − | 0.0800657i | ||||
\(363\) | 6.40544 | + | 7.39227i | 0.336198 | + | 0.387993i | ||||
\(364\) | 0.385077 | + | 0.113069i | 0.0201835 | + | 0.00592641i | ||||
\(365\) | 3.70616 | + | 8.11536i | 0.193989 | + | 0.424777i | ||||
\(366\) | 0.708383 | − | 4.92691i | 0.0370278 | − | 0.257534i | ||||
\(367\) | −9.22073 | −0.481318 | −0.240659 | − | 0.970610i | \(-0.577364\pi\) | ||||
−0.240659 | + | 0.970610i | \(0.577364\pi\) | |||||||
\(368\) | −0.243291 | − | 17.0118i | −0.0126824 | − | 0.886803i | ||||
\(369\) | 8.95624 | 0.466243 | ||||||||
\(370\) | −0.235962 | + | 1.64115i | −0.0122671 | + | 0.0853193i | ||||
\(371\) | 0.294732 | + | 0.645372i | 0.0153017 | + | 0.0335060i | ||||
\(372\) | 35.2930 | + | 10.3630i | 1.82986 | + | 0.537295i | ||||
\(373\) | 0.867034 | + | 1.00061i | 0.0448933 | + | 0.0518096i | 0.777752 | − | 0.628571i | \(-0.216360\pi\) |
−0.732859 | + | 0.680381i | \(0.761814\pi\) | |||||||
\(374\) | −1.02117 | + | 0.299842i | −0.0528034 | + | 0.0155045i | ||||
\(375\) | 1.93531 | + | 1.24375i | 0.0999390 | + | 0.0642269i | ||||
\(376\) | −3.79321 | + | 8.30598i | −0.195620 | + | 0.428348i | ||||
\(377\) | 0.451141 | − | 0.520644i | 0.0232349 | − | 0.0268145i | ||||
\(378\) | 1.18689 | − | 0.762765i | 0.0610468 | − | 0.0392324i | ||||
\(379\) | −0.452623 | − | 3.14806i | −0.0232497 | − | 0.161705i | 0.974889 | − | 0.222692i | \(-0.0714844\pi\) |
−0.998139 | + | 0.0609867i | \(0.980575\pi\) | |||||||
\(380\) | −1.26343 | − | 8.78738i | −0.0648128 | − | 0.450783i | ||||
\(381\) | 21.3282 | − | 13.7068i | 1.09267 | − | 0.702219i | ||||
\(382\) | −3.49014 | + | 4.02784i | −0.178571 | + | 0.206082i | ||||
\(383\) | 0.341123 | − | 0.746955i | 0.0174306 | − | 0.0381676i | −0.900717 | − | 0.434407i | \(-0.856958\pi\) |
0.918147 | + | 0.396240i | \(0.129685\pi\) | |||||||
\(384\) | −15.5184 | − | 9.97304i | −0.791918 | − | 0.508935i | ||||
\(385\) | 7.81598 | − | 2.29498i | 0.398339 | − | 0.116963i | ||||
\(386\) | 1.92702 | + | 2.22390i | 0.0980829 | + | 0.113194i | ||||
\(387\) | −17.3052 | − | 5.08125i | −0.879671 | − | 0.258295i | ||||
\(388\) | 6.18420 | + | 13.5415i | 0.313955 | + | 0.687466i | ||||
\(389\) | 0.0969073 | − | 0.674005i | 0.00491340 | − | 0.0341734i | −0.987217 | − | 0.159380i | \(-0.949050\pi\) |
0.992131 | + | 0.125207i | \(0.0399595\pi\) | |||||||
\(390\) | −0.0423000 | −0.00214195 | ||||||||
\(391\) | 5.43912 | + | 4.57850i | 0.275068 | + | 0.231545i | ||||
\(392\) | −3.07222 | −0.155171 | ||||||||
\(393\) | −6.37582 | + | 44.3448i | −0.321618 | + | 2.23690i | ||||
\(394\) | 0.500137 | + | 1.09515i | 0.0251966 | + | 0.0551728i | ||||
\(395\) | 14.2855 | + | 4.19460i | 0.718782 | + | 0.211053i | ||||
\(396\) | 7.50135 | + | 8.65702i | 0.376957 | + | 0.435032i | ||||
\(397\) | −2.18545 | + | 0.641707i | −0.109685 | + | 0.0322063i | −0.336114 | − | 0.941821i | \(-0.609113\pi\) |
0.226430 | + | 0.974028i | \(0.427295\pi\) | |||||||
\(398\) | −3.67452 | − | 2.36147i | −0.184187 | − | 0.118370i | ||||
\(399\) | 13.8305 | − | 30.2845i | 0.692389 | − | 1.51612i | ||||
\(400\) | −2.32317 | + | 2.68108i | −0.116158 | + | 0.134054i | ||||
\(401\) | 8.27709 | − | 5.31936i | 0.413338 | − | 0.265636i | −0.317403 | − | 0.948291i | \(-0.602811\pi\) |
0.730741 | + | 0.682654i | \(0.239175\pi\) | |||||||
\(402\) | 0.904092 | + | 6.28810i | 0.0450920 | + | 0.313622i | ||||
\(403\) | 0.0787028 | + | 0.547390i | 0.00392047 | + | 0.0272675i | ||||
\(404\) | 15.8056 | − | 10.1576i | 0.786356 | − | 0.505361i | ||||
\(405\) | 6.95607 | − | 8.02773i | 0.345650 | − | 0.398901i | ||||
\(406\) | −3.72767 | + | 8.16246i | −0.185001 | + | 0.405096i | ||||
\(407\) | 13.1109 | + | 8.42583i | 0.649881 | + | 0.417653i | ||||
\(408\) | 3.54826 | − | 1.04186i | 0.175665 | − | 0.0515799i | ||||
\(409\) | −8.43840 | − | 9.73844i | −0.417252 | − | 0.481535i | 0.507746 | − | 0.861507i | \(-0.330479\pi\) |
−0.924998 | + | 0.379972i | \(0.875934\pi\) | |||||||
\(410\) | −1.03603 | − | 0.304204i | −0.0511656 | − | 0.0150236i | ||||
\(411\) | −1.56188 | − | 3.42005i | −0.0770420 | − | 0.168698i | ||||
\(412\) | 3.50044 | − | 24.3461i | 0.172454 | − | 1.19944i | ||||
\(413\) | −2.64315 | −0.130061 | ||||||||
\(414\) | −0.814197 | + | 2.92711i | −0.0400156 | + | 0.143860i | ||||
\(415\) | 8.97398 | 0.440516 | ||||||||
\(416\) | 0.0298177 | − | 0.207387i | 0.00146194 | − | 0.0101680i | ||||
\(417\) | 4.69805 | + | 10.2873i | 0.230065 | + | 0.503771i | ||||
\(418\) | 3.17905 | + | 0.933454i | 0.155493 | + | 0.0456567i | ||||
\(419\) | −14.1784 | − | 16.3628i | −0.692660 | − | 0.799373i | 0.295081 | − | 0.955472i | \(-0.404653\pi\) |
−0.987741 | + | 0.156100i | \(0.950108\pi\) | |||||||
\(420\) | −13.3148 | + | 3.90957i | −0.649695 | + | 0.190768i | ||||
\(421\) | −26.9215 | − | 17.3014i | −1.31207 | − | 0.843219i | −0.317602 | − | 0.948224i | \(-0.602878\pi\) |
−0.994472 | + | 0.105005i | \(0.966514\pi\) | |||||||
\(422\) | 2.36482 | − | 5.17822i | 0.115117 | − | 0.252072i | ||||
\(423\) | −12.6411 | + | 14.5886i | −0.614630 | + | 0.709321i | ||||
\(424\) | 0.206391 | − | 0.132639i | 0.0100232 | − | 0.00644154i | ||||
\(425\) | −0.210976 | − | 1.46737i | −0.0102338 | − | 0.0711778i | ||||
\(426\) | −0.778096 | − | 5.41177i | −0.0376989 | − | 0.262201i | ||||
\(427\) | 20.6533 | − | 13.2731i | 0.999484 | − | 0.642329i | ||||
\(428\) | 13.3446 | − | 15.4005i | 0.645036 | − | 0.744411i | ||||
\(429\) | −0.165172 | + | 0.361675i | −0.00797456 | + | 0.0174618i | ||||
\(430\) | 1.82921 | + | 1.17556i | 0.0882123 | + | 0.0566906i | ||||
\(431\) | −32.6625 | + | 9.59058i | −1.57330 | + | 0.461962i | −0.947959 | − | 0.318391i | \(-0.896857\pi\) |
−0.625339 | + | 0.780353i | \(0.715039\pi\) | |||||||
\(432\) | 3.78210 | + | 4.36478i | 0.181967 | + | 0.210001i | ||||
\(433\) | 5.02300 | + | 1.47489i | 0.241390 | + | 0.0708785i | 0.400190 | − | 0.916432i | \(-0.368944\pi\) |
−0.158800 | + | 0.987311i | \(0.550762\pi\) | |||||||
\(434\) | −2.99237 | − | 6.55237i | −0.143638 | − | 0.314524i | ||||
\(435\) | −3.39000 | + | 23.5780i | −0.162538 | + | 1.13048i | ||||
\(436\) | 10.1585 | 0.486506 | ||||||||
\(437\) | −6.53872 | − | 21.1454i | −0.312789 | − | 1.01152i | ||||
\(438\) | 5.67213 | 0.271025 | ||||||||
\(439\) | 3.87411 | − | 26.9450i | 0.184901 | − | 1.28601i | −0.660071 | − | 0.751204i | \(-0.729474\pi\) |
0.844972 | − | 0.534811i | \(-0.179617\pi\) | |||||||
\(440\) | −1.17015 | − | 2.56228i | −0.0557849 | − | 0.122152i | ||||
\(441\) | −6.23167 | − | 1.82978i | −0.296746 | − | 0.0871325i | ||||
\(442\) | 0.0178504 | + | 0.0206005i | 0.000849058 | + | 0.000979865i | ||||
\(443\) | −13.2521 | + | 3.89116i | −0.629625 | + | 0.184874i | −0.580949 | − | 0.813940i | \(-0.697318\pi\) |
−0.0486758 | + | 0.998815i | \(0.515500\pi\) | |||||||
\(444\) | −22.3348 | − | 14.3537i | −1.05996 | − | 0.681196i | ||||
\(445\) | 0.984223 | − | 2.15515i | 0.0466566 | − | 0.102164i | ||||
\(446\) | 3.91190 | − | 4.51457i | 0.185234 | − | 0.213771i | ||||
\(447\) | 15.0133 | − | 9.64844i | 0.710103 | − | 0.456356i | ||||
\(448\) | −2.77797 | − | 19.3212i | −0.131247 | − | 0.912841i | ||||
\(449\) | −0.774161 | − | 5.38441i | −0.0365349 | − | 0.254106i | 0.963366 | − | 0.268191i | \(-0.0864257\pi\) |
−0.999901 | + | 0.0140846i | \(0.995517\pi\) | |||||||
\(450\) | 0.532948 | − | 0.342505i | 0.0251234 | − | 0.0161458i | ||||
\(451\) | −6.64645 | + | 7.67042i | −0.312969 | + | 0.361186i | ||||
\(452\) | −7.84098 | + | 17.1694i | −0.368809 | + | 0.807579i | ||||
\(453\) | −17.7974 | − | 11.4377i | −0.836195 | − | 0.537390i | ||||
\(454\) | −2.38433 | + | 0.700103i | −0.111902 | + | 0.0328575i | ||||
\(455\) | −0.136626 | − | 0.157675i | −0.00640514 | − | 0.00739192i | ||||
\(456\) | −11.0463 | − | 3.24348i | −0.517289 | − | 0.151890i | ||||
\(457\) | 3.16963 | + | 6.94051i | 0.148269 | + | 0.324663i | 0.969164 | − | 0.246415i | \(-0.0792525\pi\) |
−0.820896 | + | 0.571078i | \(0.806525\pi\) | |||||||
\(458\) | −0.234393 | + | 1.63024i | −0.0109525 | + | 0.0761761i | ||||
\(459\) | −2.41343 | −0.112649 | ||||||||
\(460\) | −4.87612 | + | 7.83141i | −0.227350 | + | 0.365141i | ||||
\(461\) | −30.3734 | −1.41463 | −0.707314 | − | 0.706899i | \(-0.750093\pi\) | ||||
−0.707314 | + | 0.706899i | \(0.750093\pi\) | |||||||
\(462\) | 0.737048 | − | 5.12628i | 0.0342906 | − | 0.238496i | ||||
\(463\) | −9.66261 | − | 21.1582i | −0.449060 | − | 0.983304i | −0.989846 | − | 0.142144i | \(-0.954601\pi\) |
0.540786 | − | 0.841160i | \(-0.318127\pi\) | |||||||
\(464\) | −35.2452 | − | 10.3489i | −1.63622 | − | 0.480436i | ||||
\(465\) | −12.5221 | − | 14.4512i | −0.580697 | − | 0.670160i | ||||
\(466\) | 0.769129 | − | 0.225837i | 0.0356292 | − | 0.0104617i | ||||
\(467\) | −7.29941 | − | 4.69105i | −0.337776 | − | 0.217076i | 0.360746 | − | 0.932664i | \(-0.382522\pi\) |
−0.698522 | + | 0.715589i | \(0.746159\pi\) | |||||||
\(468\) | 0.121876 | − | 0.266870i | 0.00563370 | − | 0.0123361i | ||||
\(469\) | −20.5190 | + | 23.6802i | −0.947479 | + | 1.09345i | ||||
\(470\) | 1.95778 | − | 1.25819i | 0.0903058 | − | 0.0580360i | ||||
\(471\) | 7.27271 | + | 50.5828i | 0.335109 | + | 2.33073i | ||||
\(472\) | 0.130074 | + | 0.904685i | 0.00598714 | + | 0.0416415i | ||||
\(473\) | 17.1940 | − | 11.0499i | 0.790579 | − | 0.508074i | ||||
\(474\) | 6.19879 | − | 7.15378i | 0.284720 | − | 0.328584i | ||||
\(475\) | −1.91719 | + | 4.19806i | −0.0879666 | + | 0.192620i | ||||
\(476\) | 7.52277 | + | 4.83459i | 0.344806 | + | 0.221593i | ||||
\(477\) | 0.497640 | − | 0.146120i | 0.0227854 | − | 0.00669039i | ||||
\(478\) | −1.03465 | − | 1.19405i | −0.0473238 | − | 0.0546146i | ||||
\(479\) | 12.4980 | + | 3.66974i | 0.571048 | + | 0.167675i | 0.554493 | − | 0.832188i | \(-0.312912\pi\) |
0.0165547 | + | 0.999863i | \(0.494730\pi\) | |||||||
\(480\) | 3.00949 | + | 6.58987i | 0.137364 | + | 0.300785i | ||||
\(481\) | 0.0568065 | − | 0.395098i | 0.00259015 | − | 0.0180149i | ||||
\(482\) | 6.34374 | 0.288949 | ||||||||
\(483\) | −31.2616 | + | 14.8206i | −1.42245 | + | 0.674360i | ||||
\(484\) | 8.17893 | 0.371769 | ||||||||
\(485\) | 1.10137 | − | 7.66016i | 0.0500104 | − | 0.347830i | ||||
\(486\) | −2.24473 | − | 4.91528i | −0.101823 | − | 0.222962i | ||||
\(487\) | −5.62751 | − | 1.65239i | −0.255007 | − | 0.0748767i | 0.151731 | − | 0.988422i | \(-0.451515\pi\) |
−0.406737 | + | 0.913545i | \(0.633334\pi\) | |||||||
\(488\) | −5.55944 | − | 6.41593i | −0.251664 | − | 0.290436i | ||||
\(489\) | 13.6981 | − | 4.02213i | 0.619450 | − | 0.181887i | ||||
\(490\) | 0.658707 | + | 0.423325i | 0.0297574 | + | 0.0191239i | ||||
\(491\) | 3.89188 | − | 8.52202i | 0.175638 | − | 0.384593i | −0.801255 | − | 0.598323i | \(-0.795834\pi\) |
0.976893 | + | 0.213730i | \(0.0685612\pi\) | |||||||
\(492\) | 11.3225 | − | 13.0668i | 0.510456 | − | 0.589097i | ||||
\(493\) | 12.9133 | − | 8.29884i | 0.581584 | − | 0.373761i | ||||
\(494\) | −0.0120767 | − | 0.0839956i | −0.000543358 | − | 0.00377914i | ||||
\(495\) | −0.847463 | − | 5.89423i | −0.0380906 | − | 0.264926i | ||||
\(496\) | 24.8063 | − | 15.9420i | 1.11384 | − | 0.715818i | ||||
\(497\) | 17.6594 | − | 20.3801i | 0.792133 | − | 0.914170i | ||||
\(498\) | 2.37013 | − | 5.18985i | 0.106208 | − | 0.232563i | ||||
\(499\) | 23.9106 | + | 15.3664i | 1.07039 | + | 0.687896i | 0.952317 | − | 0.305110i | \(-0.0986931\pi\) |
0.118069 | + | 0.993005i | \(0.462329\pi\) | |||||||
\(500\) | 1.84570 | − | 0.541947i | 0.0825423 | − | 0.0242366i | ||||
\(501\) | 29.7125 | + | 34.2901i | 1.32746 | + | 1.53197i | ||||
\(502\) | 5.38623 | + | 1.58154i | 0.240399 | + | 0.0705876i | ||||
\(503\) | 6.89847 | + | 15.1055i | 0.307588 | + | 0.673523i | 0.998792 | − | 0.0491363i | \(-0.0156469\pi\) |
−0.691204 | + | 0.722659i | \(0.742920\pi\) | |||||||
\(504\) | −1.10929 | + | 7.71526i | −0.0494116 | + | 0.343665i | ||||
\(505\) | −9.76704 | −0.434628 | ||||||||
\(506\) | −1.90266 | − | 2.86952i | −0.0845834 | − | 0.127566i | ||||
\(507\) | −29.8964 | −1.32775 | ||||||||
\(508\) | 3.01698 | − | 20.9836i | 0.133857 | − | 0.930996i | ||||
\(509\) | 4.01449 | + | 8.79052i | 0.177939 | + | 0.389633i | 0.977495 | − | 0.210959i | \(-0.0676588\pi\) |
−0.799555 | + | 0.600592i | \(0.794932\pi\) | |||||||
\(510\) | −0.904333 | − | 0.265536i | −0.0400445 | − | 0.0117581i | ||||
\(511\) | 18.3206 | + | 21.1431i | 0.810455 | + | 0.935315i | ||||
\(512\) | −18.1011 | + | 5.31497i | −0.799964 | + | 0.234891i | ||||
\(513\) | 6.32066 | + | 4.06204i | 0.279064 | + | 0.179344i | ||||
\(514\) | 2.70528 | − | 5.92374i | 0.119325 | − | 0.261285i | ||||
\(515\) | −8.37338 | + | 9.66340i | −0.368975 | + | 0.425820i | ||||
\(516\) | −29.2905 | + | 18.8239i | −1.28944 | + | 0.828674i | ||||
\(517\) | −3.11315 | − | 21.6524i | −0.136916 | − | 0.952274i | ||||
\(518\) | 0.739929 | + | 5.14632i | 0.0325106 | + | 0.226116i | ||||
\(519\) | 12.0083 | − | 7.71724i | 0.527104 | − | 0.338749i | ||||
\(520\) | −0.0472447 | + | 0.0545233i | −0.00207182 | + | 0.00239101i | ||||
\(521\) | 0.754424 | − | 1.65196i | 0.0330519 | − | 0.0723736i | −0.892386 | − | 0.451273i | \(-0.850970\pi\) |
0.925438 | + | 0.378899i | \(0.123697\pi\) | |||||||
\(522\) | 5.51838 | + | 3.54644i | 0.241533 | + | 0.155224i | ||||
\(523\) | −26.6379 | + | 7.82159i | −1.16479 | + | 0.342014i | −0.806293 | − | 0.591516i | \(-0.798530\pi\) |
−0.358500 | + | 0.933530i | \(0.616712\pi\) | |||||||
\(524\) | 24.5319 | + | 28.3113i | 1.07168 | + | 1.23679i | ||||
\(525\) | 6.92172 | + | 2.03240i | 0.302089 | + | 0.0887012i | ||||
\(526\) | 3.26668 | + | 7.15303i | 0.142434 | + | 0.311887i | ||||
\(527\) | −1.75362 | + | 12.1967i | −0.0763890 | + | 0.531297i | ||||
\(528\) | 21.2006 | 0.922637 | ||||||||
\(529\) | −8.95235 | + | 21.1862i | −0.389233 | + | 0.921139i | ||||
\(530\) | −0.0625283 | −0.00271605 | ||||||||
\(531\) | −0.274980 | + | 1.91253i | −0.0119331 | + | 0.0829965i | ||||
\(532\) | −11.5647 | − | 25.3231i | −0.501392 | − | 1.09790i | ||||
\(533\) | 0.249417 | + | 0.0732355i | 0.0108035 | + | 0.00317218i | ||||
\(534\) | −0.986425 | − | 1.13840i | −0.0426868 | − | 0.0492632i | ||||
\(535\) | −10.1643 | + | 2.98452i | −0.439442 | + | 0.129032i | ||||
\(536\) | 9.11493 | + | 5.85781i | 0.393705 | + | 0.253019i | ||||
\(537\) | 5.94439 | − | 13.0164i | 0.256519 | − | 0.561699i | ||||
\(538\) | −2.16357 | + | 2.49689i | −0.0932780 | + | 0.107649i | ||||
\(539\) | 6.19163 | − | 3.97912i | 0.266692 | − | 0.171393i | ||||
\(540\) | −0.445680 | − | 3.09977i | −0.0191790 | − | 0.133393i | ||||
\(541\) | 3.19556 | + | 22.2256i | 0.137388 | + | 0.955553i | 0.935571 | + | 0.353139i | \(0.114886\pi\) |
−0.798183 | + | 0.602415i | \(0.794205\pi\) | |||||||
\(542\) | 1.05182 | − | 0.675964i | 0.0451796 | − | 0.0290351i | ||||
\(543\) | 29.4751 | − | 34.0161i | 1.26490 | − | 1.45977i | ||||
\(544\) | 1.93933 | − | 4.24655i | 0.0831482 | − | 0.182069i | ||||
\(545\) | −4.44261 | − | 2.85509i | −0.190301 | − | 0.122299i | ||||
\(546\) | −0.127271 | + | 0.0373703i | −0.00544672 | + | 0.00159930i | ||||
\(547\) | 12.6958 | + | 14.6517i | 0.542832 | + | 0.626461i | 0.959198 | − | 0.282736i | \(-0.0912419\pi\) |
−0.416366 | + | 0.909197i | \(0.636696\pi\) | |||||||
\(548\) | −3.01651 | − | 0.885727i | −0.128859 | − | 0.0378364i | ||||
\(549\) | −7.45545 | − | 16.3252i | −0.318191 | − | 0.696741i | ||||
\(550\) | −0.102170 | + | 0.710608i | −0.00435654 | + | 0.0303004i | ||||
\(551\) | −47.7869 | −2.03579 | ||||||||
\(552\) | 6.61117 | + | 9.97075i | 0.281390 | + | 0.424383i | ||||
\(553\) | 46.6877 | 1.98536 | ||||||||
\(554\) | −0.430627 | + | 2.99507i | −0.0182956 | + | 0.127249i | ||||
\(555\) | 5.73346 | + | 12.5545i | 0.243372 | + | 0.532910i | ||||
\(556\) | 9.07348 | + | 2.66421i | 0.384801 | + | 0.112988i | ||||
\(557\) | −10.3699 | − | 11.9675i | −0.439385 | − | 0.507078i | 0.492259 | − | 0.870449i | \(-0.336171\pi\) |
−0.931645 | + | 0.363371i | \(0.881626\pi\) | |||||||
\(558\) | −5.05246 | + | 1.48354i | −0.213888 | + | 0.0628031i | ||||
\(559\) | −0.440372 | − | 0.283010i | −0.0186258 | − | 0.0119700i | ||||
\(560\) | −4.62128 | + | 10.1192i | −0.195285 | + | 0.427614i | ||||
\(561\) | −5.80160 | + | 6.69540i | −0.244944 | + | 0.282680i | ||||
\(562\) | 0.678510 | − | 0.436052i | 0.0286212 | − | 0.0183937i | ||||
\(563\) | 1.09881 | + | 7.64237i | 0.0463092 | + | 0.322088i | 0.999787 | + | 0.0206252i | \(0.00656567\pi\) |
−0.953478 | + | 0.301462i | \(0.902525\pi\) | |||||||
\(564\) | 5.30336 | + | 36.8857i | 0.223312 | + | 1.55317i | ||||
\(565\) | 8.25458 | − | 5.30490i | 0.347273 | − | 0.223179i | ||||
\(566\) | −2.73967 | + | 3.16175i | −0.115157 | + | 0.132898i | ||||
\(567\) | 13.8371 | − | 30.2991i | 0.581104 | − | 1.27244i | ||||
\(568\) | −7.84465 | − | 5.04145i | −0.329154 | − | 0.211535i | ||||
\(569\) | 20.9662 | − | 6.15623i | 0.878948 | − | 0.258082i | 0.189031 | − | 0.981971i | \(-0.439465\pi\) |
0.689917 | + | 0.723889i | \(0.257647\pi\) | |||||||
\(570\) | 1.92148 | + | 2.21750i | 0.0804819 | + | 0.0928810i | ||||
\(571\) | −16.4478 | − | 4.82951i | −0.688318 | − | 0.202108i | −0.0811739 | − | 0.996700i | \(-0.525867\pi\) |
−0.607144 | + | 0.794591i | \(0.707685\pi\) | |||||||
\(572\) | 0.138112 | + | 0.302423i | 0.00577476 | + | 0.0126450i | ||||
\(573\) | −6.31375 | + | 43.9131i | −0.263761 | + | 1.83450i | ||||
\(574\) | −3.38592 | −0.141326 | ||||||||
\(575\) | 4.33351 | − | 2.05444i | 0.180720 | − | 0.0856760i | ||||
\(576\) | −14.2694 | −0.594559 | ||||||||
\(577\) | 1.10116 | − | 7.65874i | 0.0458419 | − | 0.318838i | −0.953978 | − | 0.299876i | \(-0.903055\pi\) |
0.999820 | − | 0.0189619i | \(-0.00603612\pi\) | |||||||
\(578\) | −1.69939 | − | 3.72114i | −0.0706852 | − | 0.154779i | ||||
\(579\) | 23.5030 | + | 6.90110i | 0.976750 | + | 0.286800i | ||||
\(580\) | 13.0435 | + | 15.0530i | 0.541603 | + | 0.625044i | ||||
\(581\) | 27.0007 | − | 7.92813i | 1.12018 | − | 0.328914i | ||||
\(582\) | −4.13916 | − | 2.66008i | −0.171574 | − | 0.110264i | ||||
\(583\) | −0.244158 | + | 0.534631i | −0.0101120 | + | 0.0221422i | ||||
\(584\) | 6.33518 | − | 7.31118i | 0.262151 | − | 0.302539i | ||||
\(585\) | −0.128304 | + | 0.0824562i | −0.00530473 | + | 0.00340914i | ||||
\(586\) | 0.0926611 | + | 0.644472i | 0.00382779 | + | 0.0266229i | ||||
\(587\) | −2.19687 | − | 15.2795i | −0.0906744 | − | 0.630654i | −0.983588 | − | 0.180427i | \(-0.942252\pi\) |
0.892914 | − | 0.450227i | \(-0.148657\pi\) | |||||||
\(588\) | −10.5476 | + | 6.77856i | −0.434978 | + | 0.279543i | ||||
\(589\) | 25.1209 | − | 28.9911i | 1.03509 | − | 1.19456i | ||||
\(590\) | 0.0967688 | − | 0.211894i | 0.00398391 | − | 0.00872354i | ||||
\(591\) | 8.43096 | + | 5.41825i | 0.346803 | + | 0.222877i | ||||
\(592\) | −20.4213 | + | 5.99625i | −0.839312 | + | 0.246444i | ||||
\(593\) | −1.03824 | − | 1.19820i | −0.0426356 | − | 0.0492041i | 0.734031 | − | 0.679116i | \(-0.237637\pi\) |
−0.776667 | + | 0.629912i | \(0.783091\pi\) | |||||||
\(594\) | 1.12142 | + | 0.329278i | 0.0460124 | + | 0.0135105i | ||||
\(595\) | −1.93114 | − | 4.22860i | −0.0791689 | − | 0.173356i | ||||
\(596\) | 2.12371 | − | 14.7707i | 0.0869905 | − | 0.605032i | ||||
\(597\) | −36.3594 | −1.48809 | ||||||||
\(598\) | −0.0466092 | + | 0.0748578i | −0.00190599 | + | 0.00306116i | ||||
\(599\) | −38.5966 | −1.57701 | −0.788506 | − | 0.615026i | \(-0.789145\pi\) | ||||
−0.788506 | + | 0.615026i | \(0.789145\pi\) | |||||||
\(600\) | 0.355011 | − | 2.46915i | 0.0144933 | − | 0.100803i | ||||
\(601\) | 3.43545 | + | 7.52260i | 0.140135 | + | 0.306853i | 0.966667 | − | 0.256037i | \(-0.0824168\pi\) |
−0.826532 | + | 0.562890i | \(0.809690\pi\) | |||||||
\(602\) | 6.54225 | + | 1.92098i | 0.266642 | + | 0.0782932i | ||||
\(603\) | 14.9998 | + | 17.3107i | 0.610839 | + | 0.704945i | ||||
\(604\) | −16.9734 | + | 4.98383i | −0.690637 | + | 0.202789i | ||||
\(605\) | −3.57687 | − | 2.29871i | −0.145420 | − | 0.0934560i | ||||
\(606\) | −2.57958 | + | 5.64850i | −0.104788 | + | 0.229454i | ||||
\(607\) | 7.80808 | − | 9.01100i | 0.316920 | − | 0.365745i | −0.574830 | − | 0.818273i | \(-0.694932\pi\) |
0.891751 | + | 0.452527i | \(0.149477\pi\) | |||||||
\(608\) | −12.2264 | + | 7.85741i | −0.495845 | + | 0.318660i | ||||
\(609\) | 10.6304 | + | 73.9359i | 0.430765 | + | 2.99603i | ||||
\(610\) | 0.307925 | + | 2.14166i | 0.0124675 | + | 0.0867135i | ||||
\(611\) | −0.471325 | + | 0.302902i | −0.0190678 | + | 0.0122541i | ||||
\(612\) | 4.28084 | − | 4.94035i | 0.173043 | − | 0.199702i | ||||
\(613\) | −9.53205 | + | 20.8723i | −0.384996 | + | 0.843023i | 0.613578 | + | 0.789634i | \(0.289730\pi\) |
−0.998574 | + | 0.0533891i | \(0.982998\pi\) | |||||||
\(614\) | 0.785252 | + | 0.504651i | 0.0316902 | + | 0.0203661i | ||||
\(615\) | −8.62409 | + | 2.53226i | −0.347757 | + | 0.102111i | ||||
\(616\) | −5.78440 | − | 6.67555i | −0.233060 | − | 0.268966i | ||||
\(617\) | −45.8528 | − | 13.4636i | −1.84597 | − | 0.542025i | −0.999961 | − | 0.00884982i | \(-0.997183\pi\) |
−0.846005 | − | 0.533175i | \(-0.820999\pi\) | |||||||
\(618\) | 3.37705 | + | 7.39472i | 0.135845 | + | 0.297459i | ||||
\(619\) | 2.47034 | − | 17.1816i | 0.0992914 | − | 0.690587i | −0.877996 | − | 0.478668i | \(-0.841120\pi\) |
0.977287 | − | 0.211919i | \(-0.0679712\pi\) | |||||||
\(620\) | −15.9891 | −0.642137 | ||||||||
\(621\) | −2.30655 | − | 7.45911i | −0.0925587 | − | 0.299324i | ||||
\(622\) | −9.33605 | −0.374342 | ||||||||
\(623\) | 1.05733 | − | 7.35388i | 0.0423610 | − | 0.294627i | ||||
\(624\) | −0.225566 | − | 0.493921i | −0.00902987 | − | 0.0197727i | ||||
\(625\) | −0.959493 | − | 0.281733i | −0.0383797 | − | 0.0112693i | ||||
\(626\) | 1.37504 | + | 1.58689i | 0.0549578 | + | 0.0634247i | ||||
\(627\) | 26.4631 | − | 7.77027i | 1.05683 | − | 0.310315i | ||||
\(628\) | 35.9475 | + | 23.1021i | 1.43446 | + | 0.921874i | ||||
\(629\) | 3.69467 | − | 8.09020i | 0.147316 | − | 0.322577i | ||||
\(630\) | 1.30093 | − | 1.50136i | 0.0518305 | − | 0.0598156i | ||||
\(631\) | −13.0026 | + | 8.35628i | −0.517627 | + | 0.332658i | −0.773232 | − | 0.634123i | \(-0.781361\pi\) |
0.255606 | + | 0.966781i | \(0.417725\pi\) | |||||||
\(632\) | −2.29759 | − | 15.9801i | −0.0913931 | − | 0.635653i | ||||
\(633\) | −6.74386 | − | 46.9046i | −0.268044 | − | 1.86429i | ||||
\(634\) | −3.77900 | + | 2.42862i | −0.150083 | + | 0.0964527i | ||||
\(635\) | −7.21692 | + | 8.32877i | −0.286395 | + | 0.330517i | ||||
\(636\) | 0.415931 | − | 0.910763i | 0.0164928 | − | 0.0361141i | ||||
\(637\) | −0.158580 | − | 0.101913i | −0.00628317 | − | 0.00403795i | ||||
\(638\) | −7.13250 | + | 2.09429i | −0.282378 | + | 0.0829137i | ||||
\(639\) | −12.9094 | − | 14.8982i | −0.510687 | − | 0.589364i | ||||
\(640\) | 7.69373 | + | 2.25908i | 0.304122 | + | 0.0892981i | ||||
\(641\) | 4.43285 | + | 9.70659i | 0.175087 | + | 0.383387i | 0.976748 | − | 0.214392i | \(-0.0687771\pi\) |
−0.801661 | + | 0.597780i | \(0.796050\pi\) | |||||||
\(642\) | −0.958497 | + | 6.66650i | −0.0378289 | + | 0.263106i | ||||
\(643\) | −1.93216 | −0.0761969 | −0.0380984 | − | 0.999274i | \(-0.512130\pi\) | ||||
−0.0380984 | + | 0.999274i | \(0.512130\pi\) | |||||||
\(644\) | −7.75247 | + | 27.8708i | −0.305490 | + | 1.09826i | ||||
\(645\) | 18.1000 | 0.712689 | ||||||||
\(646\) | 0.269089 | − | 1.87155i | 0.0105872 | − | 0.0736353i | ||||
\(647\) | 18.3937 | + | 40.2765i | 0.723130 | + | 1.58343i | 0.809466 | + | 0.587167i | \(0.199757\pi\) |
−0.0863359 | + | 0.996266i | \(0.527516\pi\) | |||||||
\(648\) | −11.0516 | − | 3.24504i | −0.434147 | − | 0.127477i | ||||
\(649\) | −1.43389 | − | 1.65479i | −0.0562850 | − | 0.0649563i | ||||
\(650\) | 0.0176425 | − | 0.00518029i | 0.000691994 | − | 0.000203188i | ||||
\(651\) | −50.4432 | − | 32.4179i | −1.97702 | − | 1.27056i | ||||
\(652\) | 4.95904 | − | 10.8588i | 0.194211 | − | 0.425263i | ||||
\(653\) | 16.2168 | − | 18.7152i | 0.634613 | − | 0.732383i | −0.343799 | − | 0.939043i | \(-0.611714\pi\) |
0.978413 | + | 0.206660i | \(0.0662595\pi\) | |||||||
\(654\) | −2.82451 | + | 1.81520i | −0.110447 | + | 0.0709799i | ||||
\(655\) | −2.77148 | − | 19.2761i | −0.108291 | − | 0.753180i | ||||
\(656\) | −1.97256 | − | 13.7194i | −0.0770154 | − | 0.535654i | ||||
\(657\) | 17.2047 | − | 11.0568i | 0.671218 | − | 0.431366i | ||||
\(658\) | 4.77898 | − | 5.51524i | 0.186304 | − | 0.215006i | ||||
\(659\) | 2.18226 | − | 4.77849i | 0.0850089 | − | 0.186144i | −0.862354 | − | 0.506307i | \(-0.831010\pi\) |
0.947362 | + | 0.320163i | \(0.103738\pi\) | |||||||
\(660\) | −9.67082 | − | 6.21506i | −0.376436 | − | 0.241921i | ||||
\(661\) | 39.7139 | − | 11.6610i | 1.54469 | − | 0.453562i | 0.605182 | − | 0.796087i | \(-0.293100\pi\) |
0.939509 | + | 0.342525i | \(0.111282\pi\) | |||||||
\(662\) | 2.07001 | + | 2.38892i | 0.0804532 | + | 0.0928479i | ||||
\(663\) | 0.217713 | + | 0.0639263i | 0.00845527 | + | 0.00248269i | ||||
\(664\) | −4.04236 | − | 8.85154i | −0.156874 | − | 0.343506i | ||||
\(665\) | −2.05959 | + | 14.3248i | −0.0798676 | + | 0.555491i | ||||
\(666\) | 3.80075 | 0.147276 | ||||||||
\(667\) | 37.9903 | + | 31.9792i | 1.47099 | + | 1.23824i | ||||
\(668\) | 37.9391 | 1.46791 | ||||||||
\(669\) | 7.07671 | − | 49.2196i | 0.273602 | − | 1.90294i | ||||
\(670\) | −1.14715 | − | 2.51191i | −0.0443184 | − | 0.0970437i | ||||
\(671\) | 19.5141 | + | 5.72986i | 0.753334 | + | 0.221199i | ||||
\(672\) | 14.8768 | + | 17.1687i | 0.573884 | + | 0.662298i | ||||
\(673\) | −16.5847 | + | 4.86971i | −0.639294 | + | 0.187714i | −0.585286 | − | 0.810827i | \(-0.699018\pi\) |
−0.0540080 | + | 0.998541i | \(0.517200\pi\) | |||||||
\(674\) | −5.55882 | − | 3.57244i | −0.214118 | − | 0.137605i | ||||
\(675\) | −0.676293 | + | 1.48088i | −0.0260305 | + | 0.0569989i | ||||
\(676\) | −16.3706 | + | 18.8927i | −0.629638 | + | 0.726641i | ||||
\(677\) | 15.3509 | − | 9.86543i | 0.589984 | − | 0.379159i | −0.211320 | − | 0.977417i | \(-0.567776\pi\) |
0.801304 | + | 0.598257i | \(0.204140\pi\) | |||||||
\(678\) | −0.887815 | − | 6.17489i | −0.0340963 | − | 0.237145i | ||||
\(679\) | −3.45366 | − | 24.0207i | −0.132539 | − | 0.921832i | ||||
\(680\) | −1.35231 | + | 0.869078i | −0.0518588 | + | 0.0333276i | ||||
\(681\) | −13.5462 | + | 15.6331i | −0.519091 | + | 0.599063i | ||||
\(682\) | 2.47890 | − | 5.42803i | 0.0949220 | − | 0.207850i | ||||
\(683\) | −28.7531 | − | 18.4785i | −1.10021 | − | 0.707059i | −0.141068 | − | 0.990000i | \(-0.545054\pi\) |
−0.959137 | + | 0.282941i | \(0.908690\pi\) | |||||||
\(684\) | −19.5264 | + | 5.73346i | −0.746610 | + | 0.219225i | ||||
\(685\) | 1.07027 | + | 1.23515i | 0.0408928 | + | 0.0471928i | ||||
\(686\) | −3.46472 | − | 1.01733i | −0.132284 | − | 0.0388420i | ||||
\(687\) | 5.69534 | + | 12.4711i | 0.217291 | + | 0.475801i | ||||
\(688\) | −3.97226 | + | 27.6277i | −0.151441 | + | 1.05330i | ||||
\(689\) | 0.0150533 | 0.000573486 | ||||||||
\(690\) | −0.0436012 | − | 3.04876i | −0.00165987 | − | 0.116064i | ||||
\(691\) | 14.3111 | 0.544418 | 0.272209 | − | 0.962238i | \(-0.412246\pi\) | ||||
0.272209 | + | 0.962238i | \(0.412246\pi\) | |||||||
\(692\) | 1.69863 | − | 11.8143i | 0.0645724 | − | 0.449111i | ||||
\(693\) | −7.75713 | − | 16.9857i | −0.294669 | − | 0.645235i | ||||
\(694\) | 0.241016 | + | 0.0707686i | 0.00914883 | + | 0.00268634i | ||||
\(695\) | −3.21930 | − | 3.71527i | −0.122115 | − | 0.140928i | ||||
\(696\) | 24.7833 | − | 7.27704i | 0.939409 | − | 0.275835i | ||||
\(697\) | 4.87256 | + | 3.13141i | 0.184561 | + | 0.118610i | ||||
\(698\) | −1.74247 | + | 3.81547i | −0.0659533 | + | 0.144418i | ||||
\(699\) | 4.36968 | − | 5.04288i | 0.165276 | − | 0.190739i | ||||
\(700\) | 5.07453 | − | 3.26120i | 0.191799 | − | 0.123262i | ||||
\(701\) | 5.96362 | + | 41.4779i | 0.225243 | + | 1.56660i | 0.717757 | + | 0.696294i | \(0.245169\pi\) |
−0.492514 | + | 0.870305i | \(0.663922\pi\) | |||||||
\(702\) | −0.00426011 | − | 0.0296297i | −0.000160787 | − | 0.00111830i | ||||
\(703\) | −23.2927 | + | 14.9693i | −0.878502 | + | 0.564579i | ||||
\(704\) | 10.5894 | − | 12.2208i | 0.399102 | − | 0.460589i | ||||
\(705\) | 8.04754 | − | 17.6216i | 0.303088 | − | 0.663670i | ||||
\(706\) | −6.54554 | − | 4.20656i | −0.246345 | − | 0.158316i | ||||
\(707\) | −29.3869 | + | 8.62877i | −1.10521 | + | 0.324518i | ||||
\(708\) | 2.44267 | + | 2.81900i | 0.0918013 | + | 0.105944i | ||||
\(709\) | −25.0816 | − | 7.36464i | −0.941961 | − | 0.276585i | −0.225525 | − | 0.974237i | \(-0.572410\pi\) |
−0.716436 | + | 0.697653i | \(0.754228\pi\) | |||||||
\(710\) | 0.987282 | + | 2.16185i | 0.0370521 | + | 0.0811327i | ||||
\(711\) | 4.85715 | − | 33.7822i | 0.182157 | − | 1.26693i | ||||
\(712\) | −2.56909 | −0.0962807 | ||||||||
\(713\) | −39.3719 | + | 6.23671i | −1.47449 | + | 0.233567i | ||||
\(714\) | −2.95553 | −0.110608 | ||||||||
\(715\) | 0.0245969 | − | 0.171075i | 0.000919871 | − | 0.00639784i | ||||
\(716\) | −4.97054 | − | 10.8840i | −0.185758 | − | 0.406753i | ||||
\(717\) | −12.6191 | − | 3.70531i | −0.471270 | − | 0.138377i | ||||
\(718\) | 0.716775 | + | 0.827203i | 0.0267498 | + | 0.0308709i | ||||
\(719\) | 41.0422 | − | 12.0511i | 1.53062 | − | 0.449430i | 0.595377 | − | 0.803446i | \(-0.297003\pi\) |
0.935239 | + | 0.354017i | \(0.115184\pi\) | |||||||
\(720\) | 6.84126 | + | 4.39661i | 0.254959 | + | 0.163852i | ||||
\(721\) | −16.6565 | + | 36.4726i | −0.620319 | + | 1.35831i | ||||
\(722\) | −0.416124 | + | 0.480233i | −0.0154865 | + | 0.0178724i | ||||
\(723\) | 44.4237 | − | 28.5494i | 1.65214 | − | 1.06176i | ||||
\(724\) | −5.35616 | − | 37.2529i | −0.199060 | − | 1.38449i | ||||
\(725\) | −1.47359 | − | 10.2490i | −0.0547277 | − | 0.380640i | ||||
\(726\) | −2.27409 | + | 1.46147i | −0.0843993 | + | 0.0542401i | ||||
\(727\) | −16.1111 | + | 18.5932i | −0.597528 | + | 0.689584i | −0.971279 | − | 0.237945i | \(-0.923526\pi\) |
0.373750 | + | 0.927529i | \(0.378072\pi\) | |||||||
\(728\) | −0.0939799 | + | 0.205787i | −0.00348313 | + | 0.00762699i | ||||
\(729\) | −11.0322 | − | 7.08996i | −0.408600 | − | 0.262591i | ||||
\(730\) | −2.36572 | + | 0.694640i | −0.0875594 | + | 0.0257098i | ||||
\(731\) | −7.63814 | − | 8.81488i | −0.282507 | − | 0.326030i | ||||
\(732\) | −33.2430 | − | 9.76101i | −1.22869 | − | 0.360777i | ||||
\(733\) | −14.2036 | − | 31.1015i | −0.524620 | − | 1.14876i | −0.967660 | − | 0.252257i | \(-0.918827\pi\) |
0.443040 | − | 0.896502i | \(-0.353900\pi\) | |||||||
\(734\) | 0.362657 | − | 2.52233i | 0.0133859 | − | 0.0931010i | ||||
\(735\) | 6.51791 | 0.240417 | ||||||||
\(736\) | 14.9781 | + | 1.93534i | 0.552100 | + | 0.0713375i | ||||
\(737\) | −25.9568 | −0.956132 | ||||||||
\(738\) | −0.352254 | + | 2.44998i | −0.0129667 | + | 0.0901851i | ||||
\(739\) | −13.6906 | − | 29.9782i | −0.503617 | − | 1.10277i | −0.975277 | − | 0.220986i | \(-0.929072\pi\) |
0.471660 | − | 0.881780i | \(-0.343655\pi\) | |||||||
\(740\) | 11.0732 | + | 3.25138i | 0.407059 | + | 0.119523i | ||||
\(741\) | −0.462585 | − | 0.533852i | −0.0169935 | − | 0.0196115i | ||||
\(742\) | −0.188134 | + | 0.0552410i | −0.00690661 | + | 0.00202796i | ||||
\(743\) | −19.5079 | − | 12.5370i | −0.715676 | − | 0.459937i | 0.131455 | − | 0.991322i | \(-0.458035\pi\) |
−0.847130 | + | 0.531385i | \(0.821672\pi\) | |||||||
\(744\) | −8.61345 | + | 18.8608i | −0.315784 | + | 0.691471i | ||||
\(745\) | −5.08012 | + | 5.86277i | −0.186121 | + | 0.214795i | ||||
\(746\) | −0.307818 | + | 0.197823i | −0.0112700 | + | 0.00724281i | ||||
\(747\) | −2.92761 | − | 20.3620i | −0.107116 | − | 0.745005i | ||||
\(748\) | 1.05425 | + | 7.33250i | 0.0385474 | + | 0.268103i | ||||
\(749\) | −27.9455 | + | 17.9595i | −1.02111 | + | 0.656226i | ||||
\(750\) | −0.416345 | + | 0.480487i | −0.0152028 | + | 0.0175449i | ||||
\(751\) | 0.0493668 | − | 0.108098i | 0.00180142 | − | 0.00394456i | −0.908729 | − | 0.417386i | \(-0.862946\pi\) |
0.910531 | + | 0.413442i | \(0.135673\pi\) | |||||||
\(752\) | 25.1313 | + | 16.1509i | 0.916445 | + | 0.588964i | ||||
\(753\) | 44.8361 | − | 13.1651i | 1.63392 | − | 0.479762i | ||||
\(754\) | 0.124679 | + | 0.143887i | 0.00454053 | + | 0.00524005i | ||||
\(755\) | 8.82364 | + | 2.59086i | 0.321125 | + | 0.0942909i | ||||
\(756\) | −4.07947 | − | 8.93279i | −0.148369 | − | 0.324883i | ||||
\(757\) | −3.62855 | + | 25.2371i | −0.131882 | + | 0.917258i | 0.811217 | + | 0.584745i | \(0.198806\pi\) |
−0.943099 | + | 0.332513i | \(0.892103\pi\) | |||||||
\(758\) | 0.878956 | 0.0319251 | ||||||||
\(759\) | −26.2379 | − | 11.5319i | −0.952375 | − | 0.418581i | ||||
\(760\) | 5.00438 | 0.181528 | ||||||||
\(761\) | 2.54953 | − | 17.7324i | 0.0924205 | − | 0.642799i | −0.889978 | − | 0.456003i | \(-0.849281\pi\) |
0.982399 | − | 0.186796i | \(-0.0598103\pi\) | |||||||
\(762\) | 2.91064 | + | 6.37342i | 0.105441 | + | 0.230885i | ||||
\(763\) | −15.8892 | − | 4.66549i | −0.575228 | − | 0.168902i | ||||
\(764\) | 24.2931 | + | 28.0357i | 0.878893 | + | 1.01430i | ||||
\(765\) | −3.26063 | + | 0.957408i | −0.117888 | + | 0.0346152i | ||||
\(766\) | 0.190913 | + | 0.122692i | 0.00689797 | + | 0.00443306i | ||||
\(767\) | −0.0232966 | + | 0.0510123i | −0.000841190 | + | 0.00184195i | ||||
\(768\) | −15.4171 | + | 17.7923i | −0.556318 | + | 0.642025i | ||||
\(769\) | −33.4532 | + | 21.4991i | −1.20635 | + | 0.775276i | −0.980044 | − | 0.198779i | \(-0.936302\pi\) |
−0.226309 | + | 0.974056i | \(0.572666\pi\) | |||||||
\(770\) | 0.320385 | + | 2.22833i | 0.0115459 | + | 0.0803033i | ||||
\(771\) | −7.71478 | − | 53.6575i | −0.277841 | − | 1.93243i | ||||
\(772\) | 17.2308 | − | 11.0735i | 0.620149 | − | 0.398545i | ||||
\(773\) | −22.1965 | + | 25.6161i | −0.798353 | + | 0.921348i | −0.998290 | − | 0.0584605i | \(-0.981381\pi\) |
0.199937 | + | 0.979809i | \(0.435926\pi\) | |||||||
\(774\) | 2.07060 | − | 4.53398i | 0.0744262 | − | 0.162971i | ||||
\(775\) | 6.99247 | + | 4.49379i | 0.251177 | + | 0.161422i | ||||
\(776\) | −8.05176 | + | 2.36421i | −0.289041 | + | 0.0848702i | ||||
\(777\) | 28.3421 | + | 32.7085i | 1.01677 | + | 1.17341i | ||||
\(778\) | 0.180563 | + | 0.0530181i | 0.00647350 | + | 0.00190079i | ||||
\(779\) | −7.49054 | − | 16.4020i | −0.268376 | − | 0.587662i | ||||
\(780\) | −0.0419016 | + | 0.291432i | −0.00150032 | + | 0.0104349i | ||||
\(781\) | 22.3394 | 0.799367 | ||||||||
\(782\) | −1.46637 | + | 1.30780i | −0.0524374 | + | 0.0467668i | ||||
\(783\) | −16.8570 | −0.602419 | ||||||||
\(784\) | −1.43043 | + | 9.94886i | −0.0510868 | + | 0.355316i | ||||
\(785\) | −9.22794 | − | 20.2064i | −0.329359 | − | 0.721196i | ||||
\(786\) | −11.8798 | − | 3.48822i | −0.423737 | − | 0.124421i | ||||
\(787\) | −8.41029 | − | 9.70599i | −0.299794 | − | 0.345981i | 0.585787 | − | 0.810465i | \(-0.300785\pi\) |
−0.885582 | + | 0.464484i | \(0.846240\pi\) | |||||||
\(788\) | 8.04060 | − | 2.36093i | 0.286435 | − | 0.0841048i | ||||
\(789\) | 55.0674 | + | 35.3897i | 1.96045 | + | 1.25991i | ||||
\(790\) | −1.70929 | + | 3.74283i | −0.0608139 | + | 0.133164i | ||||
\(791\) | 20.1496 | − | 23.2538i | 0.716436 | − | 0.826811i | ||||
\(792\) | −5.43207 | + | 3.49098i | −0.193020 | + | 0.124046i | ||||
\(793\) | −0.0741312 | − | 0.515594i | −0.00263248 | − | 0.0183093i | ||||
\(794\) | −0.0895839 | − | 0.623070i | −0.00317921 | − | 0.0221119i | ||||
\(795\) | −0.437871 | + | 0.281403i | −0.0155297 | + | 0.00998033i | ||||
\(796\) | −19.9096 | + | 22.9769i | −0.705676 | + | 0.814393i | ||||
\(797\) | −15.1640 | + | 33.2045i | −0.537136 | + | 1.17616i | 0.425399 | + | 0.905006i | \(0.360134\pi\) |
−0.962535 | + | 0.271158i | \(0.912593\pi\) | |||||||
\(798\) | 7.74037 | + | 4.97444i | 0.274006 | + | 0.176093i | ||||
\(799\) | −11.9779 | + | 3.51704i | −0.423748 | + | 0.124424i | ||||
\(800\) | −2.06223 | − | 2.37994i | −0.0729108 | − | 0.0841435i | ||||
\(801\) | −5.21112 | − | 1.53012i | −0.184126 | − | 0.0540642i | ||||
\(802\) | 1.12957 | + | 2.47341i | 0.0398865 | + | 0.0873393i | ||||
\(803\) | −3.29826 | + | 22.9399i | −0.116393 | + | 0.809532i | ||||
\(804\) | 44.2183 | 1.55946 | ||||||||
\(805\) | 11.2236 | − | 10.0098i | 0.395578 | − | 0.352800i | ||||
\(806\) | −0.152834 | −0.00538336 | ||||||||
\(807\) | −3.91394 | + | 27.2221i | −0.137777 | + | 0.958262i | ||||
\(808\) | 4.39960 | + | 9.63378i | 0.154777 | + | 0.338915i | ||||
\(809\) | −21.2273 | − | 6.23290i | −0.746312 | − | 0.219137i | −0.113603 | − | 0.993526i | \(-0.536239\pi\) |
−0.632710 | + | 0.774389i | \(0.718057\pi\) | |||||||
\(810\) | 1.92240 | + | 2.21857i | 0.0675463 | + | 0.0779526i | ||||
\(811\) | 11.4030 | − | 3.34824i | 0.400415 | − | 0.117572i | −0.0753237 | − | 0.997159i | \(-0.523999\pi\) |
0.475739 | + | 0.879587i | \(0.342181\pi\) | |||||||
\(812\) | 52.5438 | + | 33.7679i | 1.84393 | + | 1.18502i | ||||
\(813\) | 4.32355 | − | 9.46725i | 0.151633 | − | 0.332031i | ||||
\(814\) | −2.82055 | + | 3.25508i | −0.0988601 | + | 0.114091i | ||||
\(815\) | −5.22062 | + | 3.35509i | −0.182870 | + | 0.117524i | ||||
\(816\) | −1.72182 | − | 11.9755i | −0.0602757 | − | 0.419227i | ||||
\(817\) | 5.16760 | + | 35.9415i | 0.180791 | + | 1.25743i | ||||
\(818\) | 2.99584 | − | 1.92531i | 0.104747 | − | 0.0673169i | ||||
\(819\) | −0.313193 | + | 0.361444i | −0.0109438 | + | 0.0126299i | ||||
\(820\) | −3.12213 | + | 6.83650i | −0.109029 | + | 0.238741i | ||||
\(821\) | −25.6419 | − | 16.4790i | −0.894907 | − | 0.575122i | 0.0103686 | − | 0.999946i | \(-0.496700\pi\) |
−0.905276 | + | 0.424824i | \(0.860336\pi\) | |||||||
\(822\) | 0.996985 | − | 0.292741i | 0.0347738 | − | 0.0102105i | ||||
\(823\) | 13.3437 | + | 15.3994i | 0.465132 | + | 0.536791i | 0.939051 | − | 0.343777i | \(-0.111707\pi\) |
−0.473919 | + | 0.880568i | \(0.657161\pi\) | |||||||
\(824\) | 13.3034 | + | 3.90622i | 0.463445 | + | 0.136080i | ||||
\(825\) | 2.48255 | + | 5.43603i | 0.0864314 | + | 0.189258i | ||||
\(826\) | 0.103957 | − | 0.723034i | 0.00361711 | − | 0.0251576i | ||||
\(827\) | 31.1290 | 1.08246 | 0.541231 | − | 0.840874i | \(-0.317958\pi\) | ||||
0.541231 | + | 0.840874i | \(0.317958\pi\) | |||||||
\(828\) | 19.3602 | + | 8.50906i | 0.672814 | + | 0.295710i | ||||
\(829\) | 15.4020 | 0.534935 | 0.267468 | − | 0.963567i | \(-0.413813\pi\) | ||||
0.267468 | + | 0.963567i | \(0.413813\pi\) | |||||||
\(830\) | −0.352952 | + | 2.45484i | −0.0122512 | + | 0.0852086i | ||||
\(831\) | 10.4635 | + | 22.9118i | 0.362974 | + | 0.794802i | ||||
\(832\) | −0.397381 | − | 0.116682i | −0.0137767 | − | 0.00404521i | ||||
\(833\) | −2.75053 | − | 3.17428i | −0.0953002 | − | 0.109982i | ||||
\(834\) | −2.99887 | + | 0.880548i | −0.103842 | + | 0.0304909i | ||||
\(835\) | −16.5918 | − | 10.6629i | −0.574183 | − | 0.369005i | ||||
\(836\) | 9.58027 | − | 20.9779i | 0.331340 | − | 0.725534i | ||||
\(837\) | 8.86146 | − | 10.2267i | 0.306297 | − | 0.353486i | ||||
\(838\) | 5.03368 | − | 3.23495i | 0.173886 | − | 0.111750i | ||||
\(839\) | −0.575038 | − | 3.99948i | −0.0198525 | − | 0.138077i | 0.977485 | − | 0.211007i | \(-0.0676742\pi\) |
−0.997337 | + | 0.0729296i | \(0.976765\pi\) | |||||||
\(840\) | −1.11324 | − | 7.74278i | −0.0384105 | − | 0.267151i | ||||
\(841\) | 65.7981 | − | 42.2858i | 2.26890 | − | 1.45813i | ||||
\(842\) | 5.79164 | − | 6.68391i | 0.199593 | − | 0.230343i | ||||
\(843\) | 2.78904 | − | 6.10715i | 0.0960597 | − | 0.210341i | ||||
\(844\) | −33.3335 | − | 21.4222i | −1.14739 | − | 0.737381i | ||||
\(845\) | 12.4692 | − | 3.66128i | 0.428952 | − | 0.125952i | ||||
\(846\) | −3.49353 | − | 4.03175i | −0.120110 | − | 0.138614i | ||||
\(847\) | −12.7928 | − | 3.75631i | −0.439567 | − | 0.129068i | ||||
\(848\) | −0.333434 | − | 0.730118i | −0.0114502 | − | 0.0250724i | ||||
\(849\) | −4.95614 | + | 34.4707i | −0.170094 | + | 1.18303i | ||||
\(850\) | 0.409697 | 0.0140525 | ||||||||
\(851\) | 28.5351 | + | 3.68706i | 0.978171 | + | 0.126391i | ||||
\(852\) | −38.0559 | −1.30377 | ||||||||
\(853\) | −2.76241 | + | 19.2130i | −0.0945831 | + | 0.657840i | 0.886281 | + | 0.463147i | \(0.153280\pi\) |
−0.980864 | + | 0.194692i | \(0.937629\pi\) | |||||||
\(854\) | 2.81855 | + | 6.17176i | 0.0964487 | + | 0.211193i | ||||
\(855\) | 10.1508 | + | 2.98055i | 0.347151 | + | 0.101933i | ||||
\(856\) | 7.52235 | + | 8.68125i | 0.257109 | + | 0.296719i | ||||
\(857\) | 20.2364 | − | 5.94195i | 0.691263 | − | 0.202973i | 0.0828125 | − | 0.996565i | \(-0.473610\pi\) |
0.608450 | + | 0.793592i | \(0.291792\pi\) | |||||||
\(858\) | −0.0924401 | − | 0.0594077i | −0.00315585 | − | 0.00202814i | ||||
\(859\) | −0.827870 | + | 1.81278i | −0.0282466 | + | 0.0618514i | −0.923229 | − | 0.384249i | \(-0.874460\pi\) |
0.894983 | + | 0.446101i | \(0.147188\pi\) | |||||||
\(860\) | 9.91118 | − | 11.4381i | 0.337968 | − | 0.390036i | ||||
\(861\) | −23.7109 | + | 15.2380i | −0.808064 | + | 0.519311i | ||||
\(862\) | −1.33887 | − | 9.31205i | −0.0456021 | − | 0.317170i | ||||
\(863\) | −5.76603 | − | 40.1037i | −0.196278 | − | 1.36514i | −0.814967 | − | 0.579508i | \(-0.803245\pi\) |
0.618689 | − | 0.785636i | \(-0.287664\pi\) | |||||||
\(864\) | −4.31288 | + | 2.77172i | −0.146727 | + | 0.0942959i | ||||
\(865\) | −4.06330 | + | 4.68930i | −0.138156 | + | 0.159441i | ||||
\(866\) | −0.601014 | + | 1.31604i | −0.0204233 | + | 0.0447207i | ||||
\(867\) | −28.6471 | − | 18.4104i | −0.972905 | − | 0.625248i | ||||
\(868\) | −48.1076 | + | 14.1257i | −1.63288 | + | 0.479457i | ||||
\(869\) | 25.3277 | + | 29.2297i | 0.859183 | + | 0.991550i | ||||
\(870\) | −6.31644 | − | 1.85467i | −0.214147 | − | 0.0628793i | ||||
\(871\) | 0.276171 | + | 0.604729i | 0.00935769 | + | 0.0204905i | ||||
\(872\) | −0.814947 | + | 5.66808i | −0.0275976 | + | 0.191945i | ||||
\(873\) | −17.7402 | −0.600415 | ||||||||
\(874\) | 6.04151 | − | 0.957007i | 0.204357 | − | 0.0323712i | ||||
\(875\) | −3.13580 | −0.106009 | ||||||||
\(876\) | 5.61870 | − | 39.0789i | 0.189838 | − | 1.32035i | ||||
\(877\) | 8.26627 | + | 18.1006i | 0.279132 | + | 0.611214i | 0.996324 | − | 0.0856614i | \(-0.0273003\pi\) |
−0.717192 | + | 0.696875i | \(0.754573\pi\) | |||||||
\(878\) | 7.21844 | + | 2.11953i | 0.243611 | + | 0.0715305i | ||||
\(879\) | 3.54927 | + | 4.09608i | 0.119714 | + | 0.138157i | ||||
\(880\) | −8.84232 | + | 2.59634i | −0.298074 | + | 0.0875226i | ||||
\(881\) | −23.8216 | − | 15.3092i | −0.802570 | − | 0.515781i | 0.0738833 | − | 0.997267i | \(-0.476461\pi\) |
−0.876454 | + | 0.481486i | \(0.840097\pi\) | |||||||
\(882\) | 0.745633 | − | 1.63271i | 0.0251068 | − | 0.0549762i | ||||
\(883\) | −1.99349 | + | 2.30061i | −0.0670862 | + | 0.0774215i | −0.788301 | − | 0.615290i | \(-0.789039\pi\) |
0.721214 | + | 0.692712i | \(0.243584\pi\) | |||||||
\(884\) | 0.159612 | − | 0.102577i | 0.00536834 | − | 0.00345002i | ||||
\(885\) | −0.275960 | − | 1.91935i | −0.00927630 | − | 0.0645181i | ||||
\(886\) | −0.543216 | − | 3.77815i | −0.0182497 | − | 0.126929i | ||||
\(887\) | −25.7965 | + | 16.5784i | −0.866160 | + | 0.556648i | −0.896576 | − | 0.442890i | \(-0.853953\pi\) |
0.0304156 | + | 0.999537i | \(0.490317\pi\) | |||||||
\(888\) | 9.80057 | − | 11.3105i | 0.328886 | − | 0.379554i | ||||
\(889\) | −14.3560 | + | 31.4353i | −0.481485 | + | 1.05430i | ||||
\(890\) | 0.550831 | + | 0.353998i | 0.0184639 | + | 0.0118660i | ||||
\(891\) | 26.4758 | − | 7.77400i | 0.886974 | − | 0.260439i | ||||
\(892\) | −27.2287 | − | 31.4236i | −0.911684 | − | 1.05214i | ||||
\(893\) | 37.2891 | + | 10.9491i | 1.24783 | + | 0.366396i | ||||
\(894\) | 2.04885 | + | 4.48636i | 0.0685239 | + | 0.150046i | ||||
\(895\) | −0.885220 | + | 6.15684i | −0.0295897 | + | 0.205801i | ||||
\(896\) | 25.1446 | 0.840020 | ||||||||
\(897\) | 0.0104967 | + | 0.733972i | 0.000350476 | + | 0.0245066i | ||||
\(898\) | 1.50336 | 0.0501676 | ||||||||
\(899\) | −12.2484 | + | 85.1896i | −0.408508 | + | 2.84123i | ||||
\(900\) | −1.83181 | − | 4.01110i | −0.0610602 | − | 0.133703i | ||||
\(901\) | 0.321825 | + | 0.0944964i | 0.0107216 | + | 0.00314813i | ||||
\(902\) | −1.83684 | − | 2.11982i | −0.0611600 | − | 0.0705823i | ||||
\(903\) | 54.4591 | − | 15.9906i | 1.81228 | − | 0.532135i | ||||
\(904\) | −8.95082 | − | 5.75234i | −0.297700 | − | 0.191320i | ||||
\(905\) | −8.12766 | + | 17.7971i | −0.270173 | + | 0.591595i | ||||
\(906\) | 3.82877 | − | 4.41863i | 0.127202 | − | 0.146799i | ||||
\(907\) | 14.4361 | − | 9.27755i | 0.479344 | − | 0.308056i | −0.278563 | − | 0.960418i | \(-0.589858\pi\) |
0.757908 | + | 0.652362i | \(0.226222\pi\) | |||||||
\(908\) | 2.46158 | + | 17.1207i | 0.0816905 | + | 0.568170i | ||||
\(909\) | 3.18633 | + | 22.1614i | 0.105684 | + | 0.735048i | ||||
\(910\) | 0.0485057 | − | 0.0311727i | 0.00160795 | − | 0.00103337i | ||||
\(911\) | −3.14149 | + | 3.62547i | −0.104082 | + | 0.120117i | −0.805401 | − | 0.592731i | \(-0.798050\pi\) |
0.701318 | + | 0.712848i | \(0.252595\pi\) | |||||||
\(912\) | −15.6466 | + | 34.2612i | −0.518110 | + | 1.13450i | ||||
\(913\) | 19.6112 | + | 12.6034i | 0.649037 | + | 0.417111i | ||||
\(914\) | −2.02324 | + | 0.594078i | −0.0669229 | + | 0.0196503i | ||||
\(915\) | 11.7947 | + | 13.6118i | 0.389921 | + | 0.449992i | ||||
\(916\) | 10.9996 | + | 3.22977i | 0.363436 | + | 0.106715i | ||||
\(917\) | −25.3684 | − | 55.5490i | −0.837738 | − | 1.83439i | ||||
\(918\) | 0.0949218 | − | 0.660196i | 0.00313289 | − | 0.0217897i | ||||
\(919\) | 34.2738 | 1.13059 | 0.565295 | − | 0.824889i | \(-0.308762\pi\) | ||||
0.565295 | + | 0.824889i | \(0.308762\pi\) | |||||||
\(920\) | −3.97845 | − | 3.34895i | −0.131166 | − | 0.110412i | ||||
\(921\) | 7.77008 | 0.256033 | ||||||||
\(922\) | 1.19460 | − | 8.30865i | 0.0393422 | − | 0.273631i | ||||
\(923\) | −0.237683 | − | 0.520453i | −0.00782342 | − | 0.0171309i | ||||
\(924\) | −34.5881 | − | 10.1560i | −1.13787 | − | 0.334107i | ||||
\(925\) | −3.92880 | − | 4.53408i | −0.129178 | − | 0.149080i | ||||
\(926\) | 6.16786 | − | 1.81105i | 0.202688 | − | 0.0595147i | ||||
\(927\) | 24.6579 | + | 15.8467i | 0.809872 | + | 0.520473i | ||||
\(928\) | 13.5455 | − | 29.6606i | 0.444654 | − | 0.973657i | ||||
\(929\) | −4.58533 | + | 5.29175i | −0.150440 | + | 0.173617i | −0.825967 | − | 0.563718i | \(-0.809370\pi\) |
0.675528 | + | 0.737335i | \(0.263916\pi\) | |||||||
\(930\) | 4.44564 | − | 2.85704i | 0.145778 | − | 0.0936860i | ||||
\(931\) | 1.86088 | + | 12.9427i | 0.0609878 | + | 0.424179i | ||||
\(932\) | −0.794049 | − | 5.52273i | −0.0260099 | − | 0.180903i | ||||
\(933\) | −65.3782 | + | 42.0160i | −2.14039 | + | 1.37554i | ||||
\(934\) | 1.57033 | − | 1.81225i | 0.0513827 | − | 0.0592988i | ||||
\(935\) | 1.59977 | − | 3.50301i | 0.0523181 | − | 0.114561i | ||||
\(936\) | 0.139126 | + | 0.0894110i | 0.00454748 | + | 0.00292249i | ||||
\(937\) | −6.05697 | + | 1.77849i | −0.197873 | + | 0.0581007i | −0.379167 | − | 0.925328i | \(-0.623789\pi\) |
0.181294 | + | 0.983429i | \(0.441971\pi\) | |||||||
\(938\) | −5.67070 | − | 6.54433i | −0.185155 | − | 0.213680i | ||||
\(939\) | 16.7708 | + | 4.92434i | 0.547293 | + | 0.160700i | ||||
\(940\) | −6.72914 | − | 14.7348i | −0.219480 | − | 0.480595i | ||||
\(941\) | 2.86661 | − | 19.9377i | 0.0934488 | − | 0.649951i | −0.888229 | − | 0.459401i | \(-0.848064\pi\) |
0.981678 | − | 0.190549i | \(-0.0610270\pi\) | |||||||
\(942\) | −14.1230 | −0.460152 | ||||||||
\(943\) | −5.02134 | + | 18.0522i | −0.163517 | + | 0.587859i | ||||
\(944\) | 2.99023 | 0.0973236 | ||||||||
\(945\) | −0.726527 | + | 5.05311i | −0.0236339 | + | 0.164378i | ||||
\(946\) | 2.34645 | + | 5.13801i | 0.0762897 | + | 0.167051i | ||||
\(947\) | 5.72212 | + | 1.68017i | 0.185944 | + | 0.0545981i | 0.373379 | − | 0.927679i | \(-0.378199\pi\) |
−0.187435 | + | 0.982277i | \(0.560017\pi\) | |||||||
\(948\) | −43.1466 | − | 49.7938i | −1.40134 | − | 1.61723i | ||||
\(949\) | 0.569535 | − | 0.167231i | 0.0184879 | − | 0.00542854i | ||||
\(950\) | −1.07298 | − | 0.689560i | −0.0348119 | − | 0.0223723i | ||||
\(951\) | −15.5337 | + | 34.0141i | −0.503715 | + | 1.10298i | ||||
\(952\) | −3.30102 | + | 3.80958i | −0.106987 | + | 0.123469i | ||||
\(953\) | 9.06785 | − | 5.82756i | 0.293737 | − | 0.188773i | −0.385470 | − | 0.922721i | \(-0.625961\pi\) |
0.679206 | + | 0.733947i | \(0.262324\pi\) | |||||||
\(954\) | 0.0203988 | + | 0.141877i | 0.000660435 | + | 0.00459342i | ||||
\(955\) | −2.74450 | − | 19.0884i | −0.0888101 | − | 0.617688i | ||||
\(956\) | −9.25148 | + | 5.94556i | −0.299214 | + | 0.192293i | ||||
\(957\) | −40.5221 | + | 46.7650i | −1.30989 | + | 1.51170i | ||||
\(958\) | −1.49541 | + | 3.27450i | −0.0483146 | + | 0.105794i | ||||
\(959\) | 4.31140 | + | 2.77077i | 0.139222 | + | 0.0894728i | ||||
\(960\) | 13.7402 | − | 4.03450i | 0.443464 | − | 0.130213i | ||||
\(961\) | −24.9428 | − | 28.7855i | −0.804606 | − | 0.928565i | ||||
\(962\) | 0.105845 | + | 0.0310789i | 0.00341258 | + | 0.00100202i | ||||
\(963\) | 10.0878 | + | 22.0892i | 0.325075 | + | 0.711815i | ||||
\(964\) | 6.28398 | − | 43.7060i | 0.202393 | − | 1.40768i | ||||
\(965\) | −10.6477 | −0.342763 | ||||||||
\(966\) | −2.82464 | − | 9.13453i | −0.0908812 | − | 0.293899i | ||||
\(967\) | 1.85620 | 0.0596915 | 0.0298457 | − | 0.999555i | \(-0.490498\pi\) | ||||
0.0298457 | + | 0.999555i | \(0.490498\pi\) | |||||||
\(968\) | −0.656136 | + | 4.56353i | −0.0210890 | + | 0.146677i | ||||
\(969\) | −6.53839 | − | 14.3171i | −0.210043 | − | 0.459931i | ||||
\(970\) | 2.05212 | + | 0.602558i | 0.0658897 | + | 0.0193470i | ||||
\(971\) | 13.3345 | + | 15.3889i | 0.427926 | + | 0.493853i | 0.928235 | − | 0.371994i | \(-0.121326\pi\) |
−0.500309 | + | 0.865847i | \(0.666780\pi\) | |||||||
\(972\) | −36.0881 | + | 10.5964i | −1.15753 | + | 0.339880i | ||||
\(973\) | −12.9684 | − | 8.33431i | −0.415749 | − | 0.267186i | ||||
\(974\) | 0.673344 | − | 1.47442i | 0.0215753 | − | 0.0472434i | ||||
\(975\) | 0.100233 | − | 0.115675i | 0.00321001 | − | 0.00370455i | ||||
\(976\) | −23.3654 | + | 15.0160i | −0.747907 | + | 0.480651i | ||||
\(977\) | −2.39784 | − | 16.6774i | −0.0767138 | − | 0.533556i | −0.991549 | − | 0.129730i | \(-0.958589\pi\) |
0.914836 | − | 0.403826i | \(-0.132320\pi\) | |||||||
\(978\) | 0.561499 | + | 3.90531i | 0.0179548 | + | 0.124878i | ||||
\(979\) | 5.17763 | − | 3.32746i | 0.165478 | − | 0.106346i | ||||
\(980\) | 3.56906 | − | 4.11892i | 0.114009 | − | 0.131574i | ||||
\(981\) | −5.02888 | + | 11.0117i | −0.160560 | + | 0.351577i | ||||
\(982\) | 2.17813 | + | 1.39980i | 0.0695070 | + | 0.0446694i | ||||
\(983\) | 33.9545 | − | 9.96994i | 1.08298 | − | 0.317992i | 0.308910 | − | 0.951091i | \(-0.400036\pi\) |
0.774070 | + | 0.633100i | \(0.218218\pi\) | |||||||
\(984\) | 6.38246 | + | 7.36576i | 0.203466 | + | 0.234812i | ||||
\(985\) | −4.17993 | − | 1.22734i | −0.133183 | − | 0.0391062i | ||||
\(986\) | 1.76227 | + | 3.85882i | 0.0561220 | + | 0.122890i | ||||
\(987\) | 8.64529 | − | 60.1293i | 0.275183 | − | 1.91394i | ||||
\(988\) | −0.590662 | −0.0187915 | ||||||||
\(989\) | 19.9439 | − | 32.0314i | 0.634180 | − | 1.01854i | ||||
\(990\) | 1.64570 | 0.0523038 | ||||||||
\(991\) | 8.16589 | − | 56.7950i | 0.259398 | − | 1.80415i | −0.277738 | − | 0.960657i | \(-0.589585\pi\) |
0.537136 | − | 0.843496i | \(-0.319506\pi\) | |||||||
\(992\) | 10.8736 | + | 23.8099i | 0.345237 | + | 0.755964i | ||||
\(993\) | 25.2469 | + | 7.41316i | 0.801186 | + | 0.235250i | ||||
\(994\) | 4.88041 | + | 5.63230i | 0.154797 | + | 0.178646i | ||||
\(995\) | 15.1647 | − | 4.45276i | 0.480754 | − | 0.141162i | ||||
\(996\) | −33.4084 | − | 21.4703i | −1.05859 | − | 0.680312i | ||||
\(997\) | 14.2590 | − | 31.2228i | 0.451587 | − | 0.988837i | −0.537739 | − | 0.843112i | \(-0.680721\pi\) |
0.989325 | − | 0.145725i | \(-0.0465515\pi\) | |||||||
\(998\) | −5.14391 | + | 5.93639i | −0.162828 | + | 0.187913i | ||||
\(999\) | −8.21658 | + | 5.28047i | −0.259961 | + | 0.167067i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 115.2.g.c.31.3 | yes | 50 | |
5.2 | odd | 4 | 575.2.p.d.399.5 | 100 | |||
5.3 | odd | 4 | 575.2.p.d.399.6 | 100 | |||
5.4 | even | 2 | 575.2.k.d.376.3 | 50 | |||
23.3 | even | 11 | inner | 115.2.g.c.26.3 | ✓ | 50 | |
23.7 | odd | 22 | 2645.2.a.x.1.14 | 25 | |||
23.16 | even | 11 | 2645.2.a.y.1.14 | 25 | |||
115.3 | odd | 44 | 575.2.p.d.49.5 | 100 | |||
115.49 | even | 22 | 575.2.k.d.26.3 | 50 | |||
115.72 | odd | 44 | 575.2.p.d.49.6 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.g.c.26.3 | ✓ | 50 | 23.3 | even | 11 | inner | |
115.2.g.c.31.3 | yes | 50 | 1.1 | even | 1 | trivial | |
575.2.k.d.26.3 | 50 | 115.49 | even | 22 | |||
575.2.k.d.376.3 | 50 | 5.4 | even | 2 | |||
575.2.p.d.49.5 | 100 | 115.3 | odd | 44 | |||
575.2.p.d.49.6 | 100 | 115.72 | odd | 44 | |||
575.2.p.d.399.5 | 100 | 5.2 | odd | 4 | |||
575.2.p.d.399.6 | 100 | 5.3 | odd | 4 | |||
2645.2.a.x.1.14 | 25 | 23.7 | odd | 22 | |||
2645.2.a.y.1.14 | 25 | 23.16 | even | 11 |