Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), not 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 19x^{14} + 140x^{12} + 511x^{10} + 979x^{8} + 956x^{6} + 410x^{4} + 44x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 374.1 | ||
Root | \(1.42343i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.374 |
Dual form | 961.2.d.n.388.1 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.86683 | − | 1.35633i | −1.32005 | − | 0.959070i | −0.999932 | − | 0.0116917i | \(-0.996278\pi\) |
−0.320115 | − | 0.947379i | \(-0.603722\pi\) | |||||||
\(3\) | −2.05711 | + | 1.49458i | −1.18767 | + | 0.862894i | −0.993016 | − | 0.117978i | \(-0.962359\pi\) |
−0.194655 | + | 0.980872i | \(0.562359\pi\) | |||||||
\(4\) | 1.02738 | + | 3.16196i | 0.513691 | + | 1.58098i | ||||
\(5\) | −2.49846 | −1.11735 | −0.558673 | − | 0.829388i | \(-0.688689\pi\) | ||||
−0.558673 | + | 0.829388i | \(0.688689\pi\) | |||||||
\(6\) | 5.86740 | 2.39536 | ||||||||
\(7\) | 0.495008 | + | 1.52348i | 0.187095 | + | 0.575820i | 0.999978 | − | 0.00660707i | \(-0.00210311\pi\) |
−0.812883 | + | 0.582427i | \(0.802103\pi\) | |||||||
\(8\) | 0.944583 | − | 2.90713i | 0.333960 | − | 1.02782i | ||||
\(9\) | 1.07088 | − | 3.29583i | 0.356961 | − | 1.09861i | ||||
\(10\) | 4.66419 | + | 3.38874i | 1.47495 | + | 1.07161i | ||||
\(11\) | −0.226712 | − | 0.697749i | −0.0683564 | − | 0.210379i | 0.911043 | − | 0.412311i | \(-0.135278\pi\) |
−0.979400 | + | 0.201931i | \(0.935278\pi\) | |||||||
\(12\) | −6.83922 | − | 4.96899i | −1.97431 | − | 1.43442i | ||||
\(13\) | −1.53388 | + | 1.11443i | −0.425421 | + | 0.309086i | −0.779815 | − | 0.626010i | \(-0.784687\pi\) |
0.354394 | + | 0.935096i | \(0.384687\pi\) | |||||||
\(14\) | 1.14224 | − | 3.51546i | 0.305277 | − | 0.939547i | ||||
\(15\) | 5.13960 | − | 3.73414i | 1.32704 | − | 0.964150i | ||||
\(16\) | −0.326952 | + | 0.237545i | −0.0817381 | + | 0.0593862i | ||||
\(17\) | 1.35326 | − | 4.16490i | 0.328214 | − | 1.01014i | −0.641755 | − | 0.766909i | \(-0.721794\pi\) |
0.969969 | − | 0.243228i | \(-0.0782064\pi\) | |||||||
\(18\) | −6.46939 | + | 4.70029i | −1.52485 | + | 1.10787i | ||||
\(19\) | 3.75224 | + | 2.72616i | 0.860823 | + | 0.625425i | 0.928109 | − | 0.372309i | \(-0.121434\pi\) |
−0.0672855 | + | 0.997734i | \(0.521434\pi\) | |||||||
\(20\) | −2.56687 | − | 7.90002i | −0.573970 | − | 1.76650i | ||||
\(21\) | −3.29524 | − | 2.39413i | −0.719079 | − | 0.522442i | ||||
\(22\) | −0.523145 | + | 1.61007i | −0.111535 | + | 0.343269i | ||||
\(23\) | 2.19973 | − | 6.77006i | 0.458675 | − | 1.41166i | −0.408092 | − | 0.912941i | \(-0.633806\pi\) |
0.866766 | − | 0.498714i | \(-0.166194\pi\) | |||||||
\(24\) | 2.40181 | + | 7.39202i | 0.490268 | + | 1.50889i | ||||
\(25\) | 1.24230 | 0.248460 | ||||||||
\(26\) | 4.37501 | 0.858011 | ||||||||
\(27\) | 0.365721 | + | 1.12557i | 0.0703831 | + | 0.216617i | ||||
\(28\) | −4.30861 | + | 3.13039i | −0.814250 | + | 0.591588i | ||||
\(29\) | −0.104314 | − | 0.0757884i | −0.0193706 | − | 0.0140736i | 0.578058 | − | 0.815996i | \(-0.303811\pi\) |
−0.597428 | + | 0.801922i | \(0.703811\pi\) | |||||||
\(30\) | −14.6595 | −2.67644 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −5.18091 | −0.915865 | ||||||||
\(33\) | 1.50921 | + | 1.09651i | 0.262720 | + | 0.190877i | ||||
\(34\) | −8.17529 | + | 5.93970i | −1.40205 | + | 1.01865i | ||||
\(35\) | −1.23676 | − | 3.80635i | −0.209050 | − | 0.643390i | ||||
\(36\) | 11.5215 | 1.92025 | ||||||||
\(37\) | −8.42948 | −1.38580 | −0.692899 | − | 0.721035i | \(-0.743667\pi\) | ||||
−0.692899 | + | 0.721035i | \(0.743667\pi\) | |||||||
\(38\) | −3.30721 | − | 10.1786i | −0.536501 | − | 1.65118i | ||||
\(39\) | 1.48975 | − | 4.58499i | 0.238551 | − | 0.734186i | ||||
\(40\) | −2.36000 | + | 7.26334i | −0.373149 | + | 1.14843i | ||||
\(41\) | 5.96567 | + | 4.33432i | 0.931682 | + | 0.676907i | 0.946404 | − | 0.322985i | \(-0.104686\pi\) |
−0.0147221 | + | 0.999892i | \(0.504686\pi\) | |||||||
\(42\) | 2.90441 | + | 8.93885i | 0.448160 | + | 1.37930i | ||||
\(43\) | 0.186472 | + | 0.135480i | 0.0284367 | + | 0.0206605i | 0.601913 | − | 0.798562i | \(-0.294405\pi\) |
−0.573476 | + | 0.819222i | \(0.694405\pi\) | |||||||
\(44\) | 1.97333 | − | 1.43371i | 0.297491 | − | 0.216140i | ||||
\(45\) | −2.67555 | + | 8.23451i | −0.398848 | + | 1.22753i | ||||
\(46\) | −13.2889 | + | 9.65498i | −1.95935 | + | 1.42355i | ||||
\(47\) | 6.50168 | − | 4.72375i | 0.948368 | − | 0.689030i | −0.00205222 | − | 0.999998i | \(-0.500653\pi\) |
0.950420 | + | 0.310968i | \(0.100653\pi\) | |||||||
\(48\) | 0.317547 | − | 0.977310i | 0.0458340 | − | 0.141063i | ||||
\(49\) | 3.58717 | − | 2.60623i | 0.512453 | − | 0.372319i | ||||
\(50\) | −2.31916 | − | 1.68497i | −0.327979 | − | 0.238290i | ||||
\(51\) | 3.44097 | + | 10.5902i | 0.481832 | + | 1.48293i | ||||
\(52\) | −5.09965 | − | 3.70511i | −0.707194 | − | 0.513806i | ||||
\(53\) | −1.77198 | + | 5.45359i | −0.243400 | + | 0.749108i | 0.752496 | + | 0.658597i | \(0.228850\pi\) |
−0.995896 | + | 0.0905104i | \(0.971150\pi\) | |||||||
\(54\) | 0.843912 | − | 2.59729i | 0.114842 | − | 0.353447i | ||||
\(55\) | 0.566432 | + | 1.74330i | 0.0763776 | + | 0.235066i | ||||
\(56\) | 4.89652 | 0.654324 | ||||||||
\(57\) | −11.7932 | −1.56205 | ||||||||
\(58\) | 0.0919419 | + | 0.282968i | 0.0120726 | + | 0.0371555i | ||||
\(59\) | −7.68867 | + | 5.58614i | −1.00098 | + | 0.727254i | −0.962298 | − | 0.271997i | \(-0.912316\pi\) |
−0.0386815 | + | 0.999252i | \(0.512316\pi\) | |||||||
\(60\) | 17.0875 | + | 12.4148i | 2.20599 | + | 1.60274i | ||||
\(61\) | 7.84044 | 1.00387 | 0.501933 | − | 0.864907i | \(-0.332623\pi\) | ||||
0.501933 | + | 0.864907i | \(0.332623\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.55122 | 0.699388 | ||||||||
\(64\) | 10.3258 | + | 7.50212i | 1.29072 | + | 0.937765i | ||||
\(65\) | 3.83233 | − | 2.78435i | 0.475342 | − | 0.345356i | ||||
\(66\) | −1.33021 | − | 4.09397i | −0.163738 | − | 0.503933i | ||||
\(67\) | 4.82658 | 0.589660 | 0.294830 | − | 0.955550i | \(-0.404737\pi\) | ||||
0.294830 | + | 0.955550i | \(0.404737\pi\) | |||||||
\(68\) | 14.5596 | 1.76561 | ||||||||
\(69\) | 5.59330 | + | 17.2144i | 0.673354 | + | 2.07237i | ||||
\(70\) | −2.85385 | + | 8.78324i | −0.341100 | + | 1.04980i | ||||
\(71\) | −1.05221 | + | 3.23836i | −0.124874 | + | 0.384323i | −0.993878 | − | 0.110482i | \(-0.964761\pi\) |
0.869004 | + | 0.494805i | \(0.164761\pi\) | |||||||
\(72\) | −8.56987 | − | 6.22638i | −1.00997 | − | 0.733785i | ||||
\(73\) | −0.831888 | − | 2.56029i | −0.0973651 | − | 0.299659i | 0.890498 | − | 0.454988i | \(-0.150356\pi\) |
−0.987863 | + | 0.155329i | \(0.950356\pi\) | |||||||
\(74\) | 15.7364 | + | 11.4332i | 1.82932 | + | 1.32908i | ||||
\(75\) | −2.55554 | + | 1.85671i | −0.295089 | + | 0.214394i | ||||
\(76\) | −4.76503 | + | 14.6652i | −0.546586 | + | 1.68222i | ||||
\(77\) | 0.950780 | − | 0.690782i | 0.108351 | − | 0.0787219i | ||||
\(78\) | −8.99987 | + | 6.53879i | −1.01903 | + | 0.740372i | ||||
\(79\) | −1.39921 | + | 4.30633i | −0.157424 | + | 0.484500i | −0.998398 | − | 0.0565742i | \(-0.981982\pi\) |
0.840975 | + | 0.541074i | \(0.181982\pi\) | |||||||
\(80\) | 0.816877 | − | 0.593496i | 0.0913296 | − | 0.0663549i | ||||
\(81\) | 5.97623 | + | 4.34198i | 0.664025 | + | 0.482443i | ||||
\(82\) | −5.25813 | − | 16.1829i | −0.580663 | − | 1.78710i | ||||
\(83\) | 2.16036 | + | 1.56959i | 0.237130 | + | 0.172285i | 0.700004 | − | 0.714139i | \(-0.253182\pi\) |
−0.462874 | + | 0.886424i | \(0.653182\pi\) | |||||||
\(84\) | 4.18467 | − | 12.8791i | 0.456585 | − | 1.40522i | ||||
\(85\) | −3.38106 | + | 10.4058i | −0.366728 | + | 1.12867i | ||||
\(86\) | −0.164356 | − | 0.505834i | −0.0177229 | − | 0.0545455i | ||||
\(87\) | 0.327856 | 0.0351499 | ||||||||
\(88\) | −2.24259 | −0.239061 | ||||||||
\(89\) | 0.681255 | + | 2.09669i | 0.0722129 | + | 0.222248i | 0.980649 | − | 0.195776i | \(-0.0627226\pi\) |
−0.908436 | + | 0.418025i | \(0.862723\pi\) | |||||||
\(90\) | 16.1635 | − | 11.7435i | 1.70378 | − | 1.23787i | ||||
\(91\) | −2.45708 | − | 1.78518i | −0.257572 | − | 0.187137i | ||||
\(92\) | 23.6666 | 2.46741 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −18.5445 | −1.91272 | ||||||||
\(95\) | −9.37482 | − | 6.81121i | −0.961837 | − | 0.698815i | ||||
\(96\) | 10.6577 | − | 7.74327i | 1.08775 | − | 0.790294i | ||||
\(97\) | 3.79778 | + | 11.6884i | 0.385606 | + | 1.18677i | 0.936040 | + | 0.351894i | \(0.114462\pi\) |
−0.550434 | + | 0.834879i | \(0.685538\pi\) | |||||||
\(98\) | −10.2315 | −1.03354 | ||||||||
\(99\) | −2.54245 | −0.255526 | ||||||||
\(100\) | 1.27632 | + | 3.92810i | 0.127632 | + | 0.392810i | ||||
\(101\) | 2.26952 | − | 6.98486i | 0.225826 | − | 0.695020i | −0.772381 | − | 0.635159i | \(-0.780934\pi\) |
0.998207 | − | 0.0598605i | \(-0.0190656\pi\) | |||||||
\(102\) | 7.94012 | − | 24.4372i | 0.786189 | − | 2.41964i | ||||
\(103\) | −4.52140 | − | 3.28499i | −0.445506 | − | 0.323679i | 0.342313 | − | 0.939586i | \(-0.388790\pi\) |
−0.787819 | + | 0.615907i | \(0.788790\pi\) | |||||||
\(104\) | 1.79091 | + | 5.51184i | 0.175613 | + | 0.540480i | ||||
\(105\) | 8.23301 | + | 5.98163i | 0.803460 | + | 0.583748i | ||||
\(106\) | 10.7048 | − | 7.77752i | 1.03975 | − | 0.755420i | ||||
\(107\) | 0.563696 | − | 1.73488i | 0.0544946 | − | 0.167717i | −0.920105 | − | 0.391672i | \(-0.871897\pi\) |
0.974600 | + | 0.223955i | \(0.0718968\pi\) | |||||||
\(108\) | −3.18328 | + | 2.31279i | −0.306312 | + | 0.222548i | ||||
\(109\) | −9.51832 | + | 6.91546i | −0.911689 | + | 0.662381i | −0.941442 | − | 0.337176i | \(-0.890528\pi\) |
0.0297521 | + | 0.999557i | \(0.490528\pi\) | |||||||
\(110\) | 1.30706 | − | 4.02271i | 0.124623 | − | 0.383550i | ||||
\(111\) | 17.3403 | − | 12.5985i | 1.64587 | − | 1.19580i | ||||
\(112\) | −0.523738 | − | 0.380518i | −0.0494886 | − | 0.0359556i | ||||
\(113\) | 3.41604 | + | 10.5135i | 0.321354 | + | 0.989026i | 0.973060 | + | 0.230554i | \(0.0740537\pi\) |
−0.651706 | + | 0.758472i | \(0.725946\pi\) | |||||||
\(114\) | 22.0159 | + | 15.9955i | 2.06198 | + | 1.49812i | ||||
\(115\) | −5.49593 | + | 16.9147i | −0.512498 | + | 1.57731i | ||||
\(116\) | 0.132470 | − | 0.407700i | 0.0122995 | − | 0.0378540i | ||||
\(117\) | 2.03037 | + | 6.24882i | 0.187707 | + | 0.577704i | ||||
\(118\) | 21.9301 | 2.01883 | ||||||||
\(119\) | 7.01501 | 0.643065 | ||||||||
\(120\) | −6.00083 | − | 18.4687i | −0.547799 | − | 1.68595i | ||||
\(121\) | 8.46373 | − | 6.14926i | 0.769430 | − | 0.559024i | ||||
\(122\) | −14.6368 | − | 10.6342i | −1.32515 | − | 0.962777i | ||||
\(123\) | −18.7500 | −1.69063 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.38846 | 0.839730 | ||||||||
\(126\) | −10.3632 | − | 7.52929i | −0.923225 | − | 0.670762i | ||||
\(127\) | −1.04123 | + | 0.756499i | −0.0923943 | + | 0.0671284i | −0.633023 | − | 0.774133i | \(-0.718186\pi\) |
0.540629 | + | 0.841261i | \(0.318186\pi\) | |||||||
\(128\) | −5.89913 | − | 18.1557i | −0.521414 | − | 1.60475i | ||||
\(129\) | −0.586077 | −0.0516012 | ||||||||
\(130\) | −10.9308 | −0.958694 | ||||||||
\(131\) | −2.47843 | − | 7.62781i | −0.216541 | − | 0.666445i | −0.999041 | − | 0.0437937i | \(-0.986056\pi\) |
0.782500 | − | 0.622651i | \(-0.213944\pi\) | |||||||
\(132\) | −1.91657 | + | 5.89859i | −0.166816 | + | 0.513406i | ||||
\(133\) | −2.29586 | + | 7.06593i | −0.199076 | + | 0.612693i | ||||
\(134\) | −9.01039 | − | 6.54643i | −0.778379 | − | 0.565526i | ||||
\(135\) | −0.913740 | − | 2.81220i | −0.0786422 | − | 0.242036i | ||||
\(136\) | −10.8296 | − | 7.86819i | −0.928634 | − | 0.674692i | ||||
\(137\) | −13.3300 | + | 9.68479i | −1.13886 | + | 0.827428i | −0.986960 | − | 0.160969i | \(-0.948538\pi\) |
−0.151897 | + | 0.988396i | \(0.548538\pi\) | |||||||
\(138\) | 12.9067 | − | 39.7227i | 1.09869 | − | 3.38142i | ||||
\(139\) | 5.93804 | − | 4.31424i | 0.503658 | − | 0.365929i | −0.306755 | − | 0.951789i | \(-0.599243\pi\) |
0.810412 | + | 0.585860i | \(0.199243\pi\) | |||||||
\(140\) | 10.7649 | − | 7.82114i | 0.909799 | − | 0.661007i | ||||
\(141\) | −6.31466 | + | 19.4345i | −0.531790 | + | 1.63668i | ||||
\(142\) | 6.35658 | − | 4.61833i | 0.533433 | − | 0.387561i | ||||
\(143\) | 1.12534 | + | 0.817606i | 0.0941056 | + | 0.0683717i | ||||
\(144\) | 0.432781 | + | 1.33196i | 0.0360651 | + | 0.110997i | ||||
\(145\) | 0.260624 | + | 0.189354i | 0.0216436 | + | 0.0157250i | ||||
\(146\) | −1.91960 | + | 5.90793i | −0.158868 | + | 0.488944i | ||||
\(147\) | −3.48398 | + | 10.7226i | −0.287354 | + | 0.884385i | ||||
\(148\) | −8.66030 | − | 26.6537i | −0.711872 | − | 2.19092i | ||||
\(149\) | −6.36193 | −0.521189 | −0.260595 | − | 0.965448i | \(-0.583919\pi\) | ||||
−0.260595 | + | 0.965448i | \(0.583919\pi\) | |||||||
\(150\) | 7.28907 | 0.595150 | ||||||||
\(151\) | 1.70724 | + | 5.25433i | 0.138933 | + | 0.427592i | 0.996181 | − | 0.0873120i | \(-0.0278277\pi\) |
−0.857248 | + | 0.514904i | \(0.827828\pi\) | |||||||
\(152\) | 11.4696 | − | 8.33316i | 0.930308 | − | 0.675908i | ||||
\(153\) | −12.2777 | − | 8.92024i | −0.992590 | − | 0.721159i | ||||
\(154\) | −2.71187 | −0.218529 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 16.0281 | 1.28327 | ||||||||
\(157\) | −6.46767 | − | 4.69903i | −0.516176 | − | 0.375024i | 0.298985 | − | 0.954258i | \(-0.403352\pi\) |
−0.815161 | + | 0.579234i | \(0.803352\pi\) | |||||||
\(158\) | 8.45290 | − | 6.14139i | 0.672476 | − | 0.488583i | ||||
\(159\) | −4.50565 | − | 13.8670i | −0.357321 | − | 1.09972i | ||||
\(160\) | 12.9443 | 1.02334 | ||||||||
\(161\) | 11.4029 | 0.898675 | ||||||||
\(162\) | −5.26743 | − | 16.2115i | −0.413848 | − | 1.27369i | ||||
\(163\) | −5.27350 | + | 16.2302i | −0.413052 | + | 1.27124i | 0.500929 | + | 0.865488i | \(0.332992\pi\) |
−0.913981 | + | 0.405756i | \(0.867008\pi\) | |||||||
\(164\) | −7.57590 | + | 23.3162i | −0.591578 | + | 1.82069i | ||||
\(165\) | −3.77070 | − | 2.73957i | −0.293549 | − | 0.213276i | ||||
\(166\) | −1.90413 | − | 5.86032i | −0.147789 | − | 0.454849i | ||||
\(167\) | −19.7175 | − | 14.3256i | −1.52579 | − | 1.10855i | −0.958523 | − | 0.285015i | \(-0.908001\pi\) |
−0.567265 | − | 0.823535i | \(-0.691999\pi\) | |||||||
\(168\) | −10.0727 | + | 7.31821i | −0.777122 | + | 0.564612i | ||||
\(169\) | −2.90639 | + | 8.94495i | −0.223568 | + | 0.688073i | ||||
\(170\) | 20.4256 | − | 14.8401i | 1.56657 | − | 1.13818i | ||||
\(171\) | 13.0032 | − | 9.44737i | 0.994379 | − | 0.722458i | ||||
\(172\) | −0.236803 | + | 0.728805i | −0.0180561 | + | 0.0555709i | ||||
\(173\) | −7.25980 | + | 5.27455i | −0.551952 | + | 0.401017i | −0.828505 | − | 0.559982i | \(-0.810808\pi\) |
0.276553 | + | 0.960999i | \(0.410808\pi\) | |||||||
\(174\) | −0.612051 | − | 0.444681i | −0.0463995 | − | 0.0337112i | ||||
\(175\) | 0.614948 | + | 1.89261i | 0.0464857 | + | 0.143068i | ||||
\(176\) | 0.239871 | + | 0.174276i | 0.0180809 | + | 0.0131366i | ||||
\(177\) | 7.46750 | − | 22.9826i | 0.561292 | − | 1.72748i | ||||
\(178\) | 1.57201 | − | 4.83816i | 0.117827 | − | 0.362635i | ||||
\(179\) | 3.48896 | + | 10.7379i | 0.260777 | + | 0.802590i | 0.992636 | + | 0.121134i | \(0.0386530\pi\) |
−0.731859 | + | 0.681456i | \(0.761347\pi\) | |||||||
\(180\) | −28.7860 | −2.14558 | ||||||||
\(181\) | 14.9410 | 1.11056 | 0.555279 | − | 0.831664i | \(-0.312611\pi\) | ||||
0.555279 | + | 0.831664i | \(0.312611\pi\) | |||||||
\(182\) | 2.16567 | + | 6.66523i | 0.160530 | + | 0.494060i | ||||
\(183\) | −16.1286 | + | 11.7181i | −1.19226 | + | 0.866229i | ||||
\(184\) | −17.6036 | − | 12.7898i | −1.29775 | − | 0.942874i | ||||
\(185\) | 21.0607 | 1.54841 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.21286 | −0.234947 | ||||||||
\(188\) | 21.6160 | + | 15.7050i | 1.57651 | + | 1.14540i | ||||
\(189\) | −1.53375 | + | 1.11434i | −0.111564 | + | 0.0810560i | ||||
\(190\) | 8.26294 | + | 25.4307i | 0.599457 | + | 1.84494i | ||||
\(191\) | 2.26093 | 0.163595 | 0.0817975 | − | 0.996649i | \(-0.473934\pi\) | ||||
0.0817975 | + | 0.996649i | \(0.473934\pi\) | |||||||
\(192\) | −32.4537 | −2.34215 | ||||||||
\(193\) | 7.93069 | + | 24.4082i | 0.570864 | + | 1.75694i | 0.649851 | + | 0.760062i | \(0.274831\pi\) |
−0.0789873 | + | 0.996876i | \(0.525169\pi\) | |||||||
\(194\) | 8.76347 | − | 26.9712i | 0.629181 | − | 1.93642i | ||||
\(195\) | −3.72209 | + | 11.4554i | −0.266544 | + | 0.820339i | ||||
\(196\) | 11.9262 | + | 8.66488i | 0.851871 | + | 0.618920i | ||||
\(197\) | 1.91458 | + | 5.89247i | 0.136408 | + | 0.419821i | 0.995806 | − | 0.0914857i | \(-0.0291616\pi\) |
−0.859398 | + | 0.511307i | \(0.829162\pi\) | |||||||
\(198\) | 4.74631 | + | 3.44840i | 0.337306 | + | 0.245067i | ||||
\(199\) | −3.69667 | + | 2.68579i | −0.262050 | + | 0.190390i | −0.711050 | − | 0.703141i | \(-0.751780\pi\) |
0.449000 | + | 0.893532i | \(0.351780\pi\) | |||||||
\(200\) | 1.17345 | − | 3.61152i | 0.0829758 | − | 0.255373i | ||||
\(201\) | −9.92879 | + | 7.21369i | −0.700323 | + | 0.508814i | ||||
\(202\) | −13.7106 | + | 9.96132i | −0.964673 | + | 0.700876i | ||||
\(203\) | 0.0638258 | − | 0.196436i | 0.00447969 | − | 0.0137871i | ||||
\(204\) | −29.9506 | + | 21.7604i | −2.09696 | + | 1.52353i | ||||
\(205\) | −14.9050 | − | 10.8291i | −1.04101 | − | 0.756338i | ||||
\(206\) | 3.98514 | + | 12.2650i | 0.277658 | + | 0.854544i | ||||
\(207\) | −19.9574 | − | 14.4999i | −1.38713 | − | 1.00781i | ||||
\(208\) | 0.236778 | − | 0.728729i | 0.0164176 | − | 0.0505282i | ||||
\(209\) | 1.05150 | − | 3.23618i | 0.0727336 | − | 0.223851i | ||||
\(210\) | −7.25655 | − | 22.3334i | −0.500749 | − | 1.54115i | ||||
\(211\) | −18.6168 | −1.28163 | −0.640816 | − | 0.767695i | \(-0.721404\pi\) | ||||
−0.640816 | + | 0.767695i | \(0.721404\pi\) | |||||||
\(212\) | −19.0645 | −1.30936 | ||||||||
\(213\) | −2.67547 | − | 8.23426i | −0.183321 | − | 0.564203i | ||||
\(214\) | −3.40539 | + | 2.47416i | −0.232788 | + | 0.169130i | ||||
\(215\) | −0.465892 | − | 0.338490i | −0.0317736 | − | 0.0230849i | ||||
\(216\) | 3.61764 | 0.246149 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 27.1487 | 1.83874 | ||||||||
\(219\) | 5.53783 | + | 4.02347i | 0.374212 | + | 0.271881i | ||||
\(220\) | −4.93029 | + | 3.58207i | −0.332400 | + | 0.241503i | ||||
\(221\) | 2.56575 | + | 7.89656i | 0.172591 | + | 0.531180i | ||||
\(222\) | −49.4591 | −3.31948 | ||||||||
\(223\) | −6.21495 | −0.416184 | −0.208092 | − | 0.978109i | \(-0.566725\pi\) | ||||
−0.208092 | + | 0.978109i | \(0.566725\pi\) | |||||||
\(224\) | −2.56459 | − | 7.89300i | −0.171354 | − | 0.527373i | ||||
\(225\) | 1.33036 | − | 4.09441i | 0.0886904 | − | 0.272961i | ||||
\(226\) | 7.88260 | − | 24.2602i | 0.524343 | − | 1.61376i | ||||
\(227\) | 10.5559 | + | 7.66930i | 0.700619 | + | 0.509030i | 0.880134 | − | 0.474726i | \(-0.157453\pi\) |
−0.179515 | + | 0.983755i | \(0.557453\pi\) | |||||||
\(228\) | −12.1161 | − | 37.2897i | −0.802412 | − | 2.46957i | ||||
\(229\) | 12.3601 | + | 8.98014i | 0.816779 | + | 0.593425i | 0.915788 | − | 0.401662i | \(-0.131567\pi\) |
−0.0990091 | + | 0.995087i | \(0.531567\pi\) | |||||||
\(230\) | 33.2019 | − | 24.1226i | 2.18927 | − | 1.59060i | ||||
\(231\) | −0.923430 | + | 2.84203i | −0.0607572 | + | 0.186992i | ||||
\(232\) | −0.318860 | + | 0.231665i | −0.0209342 | + | 0.0152096i | ||||
\(233\) | −10.5668 | + | 7.67721i | −0.692253 | + | 0.502951i | −0.877400 | − | 0.479760i | \(-0.840724\pi\) |
0.185147 | + | 0.982711i | \(0.440724\pi\) | |||||||
\(234\) | 4.68512 | − | 14.4193i | 0.306276 | − | 0.942621i | ||||
\(235\) | −16.2442 | + | 11.8021i | −1.05965 | + | 0.769884i | ||||
\(236\) | −25.5624 | − | 18.5721i | −1.66397 | − | 1.20894i | ||||
\(237\) | −3.55781 | − | 10.9498i | −0.231105 | − | 0.711267i | ||||
\(238\) | −13.0958 | − | 9.51467i | −0.848876 | − | 0.616744i | ||||
\(239\) | 7.24405 | − | 22.2949i | 0.468578 | − | 1.44214i | −0.385848 | − | 0.922563i | \(-0.626091\pi\) |
0.854426 | − | 0.519573i | \(-0.173909\pi\) | |||||||
\(240\) | −0.793379 | + | 2.44177i | −0.0512124 | + | 0.157616i | ||||
\(241\) | −7.63645 | − | 23.5026i | −0.491907 | − | 1.51393i | −0.821722 | − | 0.569889i | \(-0.806986\pi\) |
0.329814 | − | 0.944046i | \(-0.393014\pi\) | |||||||
\(242\) | −24.1408 | −1.55183 | ||||||||
\(243\) | −22.3337 | −1.43271 | ||||||||
\(244\) | 8.05513 | + | 24.7911i | 0.515677 | + | 1.58709i | ||||
\(245\) | −8.96240 | + | 6.51156i | −0.572587 | + | 0.416009i | ||||
\(246\) | 35.0030 | + | 25.4312i | 2.23171 | + | 1.62143i | ||||
\(247\) | −8.79358 | −0.559522 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −6.78996 | −0.430296 | ||||||||
\(250\) | −17.5266 | − | 12.7339i | −1.10848 | − | 0.805360i | ||||
\(251\) | −18.7645 | + | 13.6332i | −1.18440 | + | 0.860518i | −0.992661 | − | 0.120927i | \(-0.961413\pi\) |
−0.191741 | + | 0.981446i | \(0.561413\pi\) | |||||||
\(252\) | 5.70323 | + | 17.5527i | 0.359270 | + | 1.10572i | ||||
\(253\) | −5.22251 | −0.328336 | ||||||||
\(254\) | 2.96986 | 0.186346 | ||||||||
\(255\) | −8.59711 | − | 26.4592i | −0.538372 | − | 1.65694i | ||||
\(256\) | −5.72420 | + | 17.6173i | −0.357763 | + | 1.10108i | ||||
\(257\) | 4.74221 | − | 14.5950i | 0.295811 | − | 0.910412i | −0.687137 | − | 0.726528i | \(-0.741133\pi\) |
0.982948 | − | 0.183884i | \(-0.0588672\pi\) | |||||||
\(258\) | 1.09410 | + | 0.794914i | 0.0681160 | + | 0.0494892i | ||||
\(259\) | −4.17266 | − | 12.8421i | −0.259276 | − | 0.797970i | ||||
\(260\) | 12.7413 | + | 9.25707i | 0.790180 | + | 0.574099i | ||||
\(261\) | −0.361494 | + | 0.262641i | −0.0223759 | + | 0.0162571i | ||||
\(262\) | −5.71903 | + | 17.6014i | −0.353323 | + | 1.08742i | ||||
\(263\) | −5.50607 | + | 4.00039i | −0.339519 | + | 0.246675i | −0.744459 | − | 0.667668i | \(-0.767292\pi\) |
0.404940 | + | 0.914343i | \(0.367292\pi\) | |||||||
\(264\) | 4.61325 | − | 3.35173i | 0.283926 | − | 0.206284i | ||||
\(265\) | 4.42721 | − | 13.6256i | 0.271962 | − | 0.837012i | ||||
\(266\) | 13.8697 | − | 10.0769i | 0.850406 | − | 0.617856i | ||||
\(267\) | −4.53507 | − | 3.29492i | −0.277542 | − | 0.201646i | ||||
\(268\) | 4.95874 | + | 15.2614i | 0.302903 | + | 0.932241i | ||||
\(269\) | 8.51057 | + | 6.18329i | 0.518899 | + | 0.377002i | 0.816189 | − | 0.577785i | \(-0.196083\pi\) |
−0.297290 | + | 0.954787i | \(0.596083\pi\) | |||||||
\(270\) | −2.10848 | + | 6.48923i | −0.128318 | + | 0.394922i | ||||
\(271\) | 0.487363 | − | 1.49995i | 0.0296052 | − | 0.0911154i | −0.935162 | − | 0.354220i | \(-0.884746\pi\) |
0.964767 | + | 0.263105i | \(0.0847464\pi\) | |||||||
\(272\) | 0.546900 | + | 1.68319i | 0.0331607 | + | 0.102058i | ||||
\(273\) | 7.72256 | 0.467391 | ||||||||
\(274\) | 38.0206 | 2.29691 | ||||||||
\(275\) | −0.281645 | − | 0.866813i | −0.0169838 | − | 0.0522708i | ||||
\(276\) | −48.6847 | + | 35.3715i | −2.93048 | + | 2.12912i | ||||
\(277\) | 9.79020 | + | 7.11300i | 0.588236 | + | 0.427379i | 0.841684 | − | 0.539970i | \(-0.181565\pi\) |
−0.253448 | + | 0.967349i | \(0.581565\pi\) | |||||||
\(278\) | −16.9368 | −1.01580 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −12.2337 | −0.731106 | ||||||||
\(281\) | 17.3718 | + | 12.6214i | 1.03632 | + | 0.752927i | 0.969563 | − | 0.244842i | \(-0.0787362\pi\) |
0.0667525 | + | 0.997770i | \(0.478736\pi\) | |||||||
\(282\) | 38.1480 | − | 27.7161i | 2.27168 | − | 1.65047i | ||||
\(283\) | −0.212853 | − | 0.655094i | −0.0126528 | − | 0.0389413i | 0.944531 | − | 0.328423i | \(-0.106517\pi\) |
−0.957184 | + | 0.289482i | \(0.906517\pi\) | |||||||
\(284\) | −11.3206 | −0.671753 | ||||||||
\(285\) | 29.4649 | 1.74535 | ||||||||
\(286\) | −0.991870 | − | 3.05266i | −0.0586505 | − | 0.180508i | ||||
\(287\) | −3.65018 | + | 11.2341i | −0.215463 | + | 0.663127i | ||||
\(288\) | −5.54815 | + | 17.0754i | −0.326928 | + | 1.00618i | ||||
\(289\) | −1.76183 | − | 1.28004i | −0.103637 | − | 0.0752967i | ||||
\(290\) | −0.229713 | − | 0.706984i | −0.0134892 | − | 0.0415155i | ||||
\(291\) | −25.2816 | − | 18.3681i | −1.48203 | − | 1.07676i | ||||
\(292\) | 7.24086 | − | 5.26079i | 0.423739 | − | 0.307864i | ||||
\(293\) | 2.78482 | − | 8.57081i | 0.162691 | − | 0.500712i | −0.836168 | − | 0.548474i | \(-0.815209\pi\) |
0.998859 | + | 0.0477622i | \(0.0152090\pi\) | |||||||
\(294\) | 21.0474 | − | 15.2918i | 1.22751 | − | 0.891837i | ||||
\(295\) | 19.2098 | − | 13.9568i | 1.11844 | − | 0.812594i | ||||
\(296\) | −7.96234 | + | 24.5056i | −0.462801 | + | 1.42436i | ||||
\(297\) | 0.702455 | − | 0.510363i | 0.0407606 | − | 0.0296143i | ||||
\(298\) | 11.8766 | + | 8.62887i | 0.687994 | + | 0.499857i | ||||
\(299\) | 4.17063 | + | 12.8359i | 0.241194 | + | 0.742317i | ||||
\(300\) | −8.49636 | − | 6.17297i | −0.490538 | − | 0.356396i | ||||
\(301\) | −0.114095 | + | 0.351149i | −0.00657634 | + | 0.0202399i | ||||
\(302\) | 3.93949 | − | 12.1245i | 0.226692 | − | 0.697688i | ||||
\(303\) | 5.77076 | + | 17.7606i | 0.331522 | + | 1.02032i | ||||
\(304\) | −1.87439 | −0.107504 | ||||||||
\(305\) | −19.5890 | −1.12166 | ||||||||
\(306\) | 10.8215 | + | 33.3051i | 0.618623 | + | 1.90393i | ||||
\(307\) | 25.3486 | − | 18.4169i | 1.44672 | − | 1.05111i | 0.460141 | − | 0.887846i | \(-0.347799\pi\) |
0.986583 | − | 0.163260i | \(-0.0522010\pi\) | |||||||
\(308\) | 3.16104 | + | 2.29663i | 0.180117 | + | 0.130863i | ||||
\(309\) | 14.2107 | 0.808416 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −17.7139 | −1.00447 | −0.502233 | − | 0.864732i | \(-0.667488\pi\) | ||||
−0.502233 | + | 0.864732i | \(0.667488\pi\) | |||||||
\(312\) | −11.9219 | − | 8.66180i | −0.674947 | − | 0.490378i | ||||
\(313\) | −17.5303 | + | 12.7365i | −0.990874 | + | 0.719912i | −0.960112 | − | 0.279615i | \(-0.909793\pi\) |
−0.0307616 | + | 0.999527i | \(0.509793\pi\) | |||||||
\(314\) | 5.70058 | + | 17.5446i | 0.321702 | + | 0.990098i | ||||
\(315\) | −13.8695 | −0.781458 | ||||||||
\(316\) | −15.0540 | −0.846852 | ||||||||
\(317\) | 0.313976 | + | 0.966318i | 0.0176346 | + | 0.0542738i | 0.959487 | − | 0.281754i | \(-0.0909163\pi\) |
−0.941852 | + | 0.336028i | \(0.890916\pi\) | |||||||
\(318\) | −10.3969 | + | 31.9984i | −0.583030 | + | 1.79438i | ||||
\(319\) | −0.0292321 | + | 0.0899671i | −0.00163668 | + | 0.00503719i | ||||
\(320\) | −25.7985 | − | 18.7437i | −1.44218 | − | 1.04781i | ||||
\(321\) | 1.43332 | + | 4.41132i | 0.0800004 | + | 0.246216i | ||||
\(322\) | −21.2873 | − | 15.4661i | −1.18629 | − | 0.861893i | ||||
\(323\) | 16.4320 | − | 11.9385i | 0.914299 | − | 0.664277i | ||||
\(324\) | −7.58930 | + | 23.3575i | −0.421628 | + | 1.29764i | ||||
\(325\) | −1.90553 | + | 1.38445i | −0.105700 | + | 0.0767955i | ||||
\(326\) | 31.8582 | − | 23.1463i | 1.76446 | − | 1.28196i | ||||
\(327\) | 9.24451 | − | 28.4517i | 0.511223 | − | 1.57338i | ||||
\(328\) | 18.2355 | − | 13.2489i | 1.00689 | − | 0.731545i | ||||
\(329\) | 10.4149 | + | 7.56687i | 0.574192 | + | 0.417175i | ||||
\(330\) | 3.32348 | + | 10.2286i | 0.182952 | + | 0.563068i | ||||
\(331\) | 21.5922 | + | 15.6877i | 1.18682 | + | 0.862272i | 0.992924 | − | 0.118751i | \(-0.0378891\pi\) |
0.193891 | + | 0.981023i | \(0.437889\pi\) | |||||||
\(332\) | −2.74347 | + | 8.44353i | −0.150568 | + | 0.463399i | ||||
\(333\) | −9.02697 | + | 27.7822i | −0.494675 | + | 1.52245i | ||||
\(334\) | 17.3790 | + | 53.4870i | 0.950935 | + | 2.92668i | ||||
\(335\) | −12.0590 | −0.658854 | ||||||||
\(336\) | 1.64610 | 0.0898020 | ||||||||
\(337\) | −9.87048 | − | 30.3782i | −0.537679 | − | 1.65481i | −0.737788 | − | 0.675033i | \(-0.764129\pi\) |
0.200108 | − | 0.979774i | \(-0.435871\pi\) | |||||||
\(338\) | 17.5580 | − | 12.7567i | 0.955031 | − | 0.693871i | ||||
\(339\) | −22.7404 | − | 16.5218i | −1.23509 | − | 0.897343i | ||||
\(340\) | −36.3765 | −1.97279 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −37.0885 | −2.00552 | ||||||||
\(343\) | 14.8178 | + | 10.7658i | 0.800088 | + | 0.581298i | ||||
\(344\) | 0.569994 | − | 0.414125i | 0.0307320 | − | 0.0223281i | ||||
\(345\) | −13.9746 | − | 43.0095i | −0.752368 | − | 2.31555i | ||||
\(346\) | 20.7068 | 1.11321 | ||||||||
\(347\) | −3.12131 | −0.167561 | −0.0837804 | − | 0.996484i | \(-0.526699\pi\) | ||||
−0.0837804 | + | 0.996484i | \(0.526699\pi\) | |||||||
\(348\) | 0.336834 | + | 1.03667i | 0.0180562 | + | 0.0555712i | ||||
\(349\) | −6.80655 | + | 20.9484i | −0.364346 | + | 1.12134i | 0.586043 | + | 0.810280i | \(0.300685\pi\) |
−0.950389 | + | 0.311063i | \(0.899315\pi\) | |||||||
\(350\) | 1.41901 | − | 4.36726i | 0.0758492 | − | 0.233440i | ||||
\(351\) | −1.81534 | − | 1.31892i | −0.0968958 | − | 0.0703989i | ||||
\(352\) | 1.17458 | + | 3.61498i | 0.0626052 | + | 0.192679i | ||||
\(353\) | 3.99039 | + | 2.89919i | 0.212387 | + | 0.154308i | 0.688893 | − | 0.724863i | \(-0.258097\pi\) |
−0.476506 | + | 0.879171i | \(0.658097\pi\) | |||||||
\(354\) | −45.1125 | + | 32.7762i | −2.39770 | + | 1.74203i | ||||
\(355\) | 2.62890 | − | 8.09092i | 0.139527 | − | 0.429421i | ||||
\(356\) | −5.92973 | + | 4.30820i | −0.314275 | + | 0.228334i | ||||
\(357\) | −14.4306 | + | 10.4845i | −0.763750 | + | 0.554897i | ||||
\(358\) | 8.05087 | − | 24.7780i | 0.425502 | − | 1.30956i | ||||
\(359\) | 0.291942 | − | 0.212108i | 0.0154081 | − | 0.0111946i | −0.580055 | − | 0.814578i | \(-0.696969\pi\) |
0.595463 | + | 0.803383i | \(0.296969\pi\) | |||||||
\(360\) | 21.4115 | + | 15.5563i | 1.12848 | + | 0.819892i | ||||
\(361\) | 0.776030 | + | 2.38838i | 0.0408437 | + | 0.125704i | ||||
\(362\) | −27.8924 | − | 20.2650i | −1.46599 | − | 1.06510i | ||||
\(363\) | −8.22027 | + | 25.2994i | −0.431452 | + | 1.32787i | ||||
\(364\) | 3.12029 | − | 9.60325i | 0.163547 | − | 0.503347i | ||||
\(365\) | 2.07844 | + | 6.39677i | 0.108790 | + | 0.334822i | ||||
\(366\) | 46.0030 | 2.40462 | ||||||||
\(367\) | 29.3869 | 1.53398 | 0.766992 | − | 0.641657i | \(-0.221753\pi\) | ||||
0.766992 | + | 0.641657i | \(0.221753\pi\) | |||||||
\(368\) | 0.888987 | + | 2.73602i | 0.0463416 | + | 0.142625i | ||||
\(369\) | 20.6737 | − | 15.0203i | 1.07623 | − | 0.781928i | ||||
\(370\) | −39.3167 | − | 28.5653i | −2.04398 | − | 1.48504i | ||||
\(371\) | −9.18555 | −0.476890 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.7284 | 0.917941 | 0.458971 | − | 0.888451i | \(-0.348218\pi\) | ||||
0.458971 | + | 0.888451i | \(0.348218\pi\) | |||||||
\(374\) | 5.99786 | + | 4.35770i | 0.310142 | + | 0.225331i | ||||
\(375\) | −19.3131 | + | 14.0318i | −0.997323 | + | 0.724597i | ||||
\(376\) | −7.59116 | − | 23.3632i | −0.391484 | − | 1.20486i | ||||
\(377\) | 0.244465 | 0.0125906 | ||||||||
\(378\) | 4.37466 | 0.225008 | ||||||||
\(379\) | −0.760312 | − | 2.34000i | −0.0390546 | − | 0.120198i | 0.929628 | − | 0.368498i | \(-0.120128\pi\) |
−0.968683 | + | 0.248301i | \(0.920128\pi\) | |||||||
\(380\) | 11.9052 | − | 36.6405i | 0.610725 | − | 1.87962i | ||||
\(381\) | 1.01128 | − | 3.11240i | 0.0518094 | − | 0.159453i | ||||
\(382\) | −4.22077 | − | 3.06657i | −0.215953 | − | 0.156899i | ||||
\(383\) | 5.90776 | + | 18.1822i | 0.301872 | + | 0.929068i | 0.980826 | + | 0.194886i | \(0.0624338\pi\) |
−0.678953 | + | 0.734181i | \(0.737566\pi\) | |||||||
\(384\) | 39.2701 | + | 28.5314i | 2.00400 | + | 1.45599i | ||||
\(385\) | −2.37549 | + | 1.72589i | −0.121066 | + | 0.0879596i | ||||
\(386\) | 18.3003 | − | 56.3225i | 0.931460 | − | 2.86674i | ||||
\(387\) | 0.646208 | − | 0.469497i | 0.0328486 | − | 0.0238659i | ||||
\(388\) | −33.0563 | + | 24.0168i | −1.67818 | + | 1.21927i | ||||
\(389\) | −1.62885 | + | 5.01308i | −0.0825858 | + | 0.254173i | −0.983820 | − | 0.179159i | \(-0.942662\pi\) |
0.901234 | + | 0.433332i | \(0.142662\pi\) | |||||||
\(390\) | 22.4858 | − | 16.3369i | 1.13861 | − | 0.827251i | ||||
\(391\) | −25.2199 | − | 18.3233i | −1.27542 | − | 0.926649i | ||||
\(392\) | −4.18827 | − | 12.8902i | −0.211539 | − | 0.651051i | ||||
\(393\) | 16.4987 | + | 11.9870i | 0.832251 | + | 0.604665i | ||||
\(394\) | 4.41794 | − | 13.5970i | 0.222573 | − | 0.685009i | ||||
\(395\) | 3.49587 | − | 10.7592i | 0.175897 | − | 0.541354i | ||||
\(396\) | −2.61207 | − | 8.03911i | −0.131261 | − | 0.403981i | ||||
\(397\) | 16.9255 | 0.849467 | 0.424733 | − | 0.905319i | \(-0.360368\pi\) | ||||
0.424733 | + | 0.905319i | \(0.360368\pi\) | |||||||
\(398\) | 10.5439 | 0.528516 | ||||||||
\(399\) | −5.83773 | − | 17.9667i | −0.292252 | − | 0.899460i | ||||
\(400\) | −0.406173 | + | 0.295102i | −0.0203086 | + | 0.0147551i | ||||
\(401\) | 30.7747 | + | 22.3591i | 1.53682 | + | 1.11656i | 0.952293 | + | 0.305186i | \(0.0987186\pi\) |
0.584524 | + | 0.811377i | \(0.301281\pi\) | |||||||
\(402\) | 28.3195 | 1.41245 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 24.4175 | 1.21482 | ||||||||
\(405\) | −14.9314 | − | 10.8483i | −0.741945 | − | 0.539055i | ||||
\(406\) | −0.385583 | + | 0.280143i | −0.0191362 | + | 0.0139032i | ||||
\(407\) | 1.91107 | + | 5.88166i | 0.0947281 | + | 0.291543i | ||||
\(408\) | 34.0373 | 1.68510 | ||||||||
\(409\) | −0.498684 | −0.0246583 | −0.0123292 | − | 0.999924i | \(-0.503925\pi\) | ||||
−0.0123292 | + | 0.999924i | \(0.503925\pi\) | |||||||
\(410\) | 13.1372 | + | 40.4322i | 0.648801 | + | 1.99680i | ||||
\(411\) | 12.9465 | − | 39.8453i | 0.638605 | − | 1.96542i | ||||
\(412\) | 5.74179 | − | 17.6714i | 0.282877 | − | 0.870607i | ||||
\(413\) | −12.3163 | − | 8.94832i | −0.606046 | − | 0.440318i | ||||
\(414\) | 17.5903 | + | 54.1375i | 0.864518 | + | 2.66071i | ||||
\(415\) | −5.39757 | − | 3.92156i | −0.264956 | − | 0.192502i | ||||
\(416\) | 7.94688 | − | 5.77375i | 0.389628 | − | 0.283081i | ||||
\(417\) | −5.76723 | + | 17.7497i | −0.282422 | + | 0.869206i | ||||
\(418\) | −6.35229 | + | 4.61521i | −0.310701 | + | 0.225737i | ||||
\(419\) | −10.9298 | + | 7.94098i | −0.533957 | + | 0.387942i | −0.821836 | − | 0.569725i | \(-0.807050\pi\) |
0.287879 | + | 0.957667i | \(0.407050\pi\) | |||||||
\(420\) | −10.4552 | + | 32.1779i | −0.510163 | + | 1.57012i | ||||
\(421\) | 25.0109 | − | 18.1714i | 1.21895 | − | 0.885622i | 0.222941 | − | 0.974832i | \(-0.428434\pi\) |
0.996013 | + | 0.0892097i | \(0.0284341\pi\) | |||||||
\(422\) | 34.7543 | + | 25.2505i | 1.69181 | + | 1.22917i | ||||
\(423\) | −8.60616 | − | 26.4871i | −0.418446 | − | 1.28784i | ||||
\(424\) | 14.1805 | + | 10.3027i | 0.688665 | + | 0.500345i | ||||
\(425\) | 1.68115 | − | 5.17406i | 0.0815479 | − | 0.250979i | ||||
\(426\) | −6.17373 | + | 19.0008i | −0.299118 | + | 0.920591i | ||||
\(427\) | 3.88108 | + | 11.9447i | 0.187818 | + | 0.578046i | ||||
\(428\) | 6.06475 | 0.293151 | ||||||||
\(429\) | −3.53692 | −0.170764 | ||||||||
\(430\) | 0.410636 | + | 1.26381i | 0.0198026 | + | 0.0609462i | ||||
\(431\) | 9.75253 | − | 7.08563i | 0.469763 | − | 0.341303i | −0.327586 | − | 0.944821i | \(-0.606235\pi\) |
0.797349 | + | 0.603519i | \(0.206235\pi\) | |||||||
\(432\) | −0.386948 | − | 0.281134i | −0.0186170 | − | 0.0135261i | ||||
\(433\) | 32.3919 | 1.55665 | 0.778327 | − | 0.627860i | \(-0.216069\pi\) | ||||
0.778327 | + | 0.627860i | \(0.216069\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.819136 | −0.0392745 | ||||||||
\(436\) | −31.6454 | − | 22.9917i | −1.51554 | − | 1.10110i | ||||
\(437\) | 26.7102 | − | 19.4061i | 1.27772 | − | 0.928319i | ||||
\(438\) | −4.88102 | − | 15.0222i | −0.233224 | − | 0.717790i | ||||
\(439\) | 12.3682 | 0.590300 | 0.295150 | − | 0.955451i | \(-0.404630\pi\) | ||||
0.295150 | + | 0.955451i | \(0.404630\pi\) | |||||||
\(440\) | 5.60303 | 0.267114 | ||||||||
\(441\) | −4.74827 | − | 14.6137i | −0.226108 | − | 0.695890i | ||||
\(442\) | 5.92053 | − | 18.2215i | 0.281611 | − | 0.866709i | ||||
\(443\) | −1.45961 | + | 4.49223i | −0.0693483 | + | 0.213432i | −0.979725 | − | 0.200349i | \(-0.935792\pi\) |
0.910376 | + | 0.413782i | \(0.135792\pi\) | |||||||
\(444\) | 57.6511 | + | 41.8859i | 2.73600 | + | 1.98782i | ||||
\(445\) | −1.70209 | − | 5.23849i | −0.0806867 | − | 0.248328i | ||||
\(446\) | 11.6023 | + | 8.42953i | 0.549383 | + | 0.399150i | ||||
\(447\) | 13.0872 | − | 9.50838i | 0.619002 | − | 0.449731i | ||||
\(448\) | −6.31796 | + | 19.4447i | −0.298496 | + | 0.918676i | ||||
\(449\) | −12.9315 | + | 9.39528i | −0.610275 | + | 0.443390i | −0.849511 | − | 0.527571i | \(-0.823103\pi\) |
0.239236 | + | 0.970961i | \(0.423103\pi\) | |||||||
\(450\) | −8.03692 | + | 5.83917i | −0.378864 | + | 0.275261i | ||||
\(451\) | 1.67177 | − | 5.14519i | 0.0787207 | − | 0.242277i | ||||
\(452\) | −29.7336 | + | 21.6027i | −1.39855 | + | 1.01611i | ||||
\(453\) | −11.3650 | − | 8.25713i | −0.533973 | − | 0.387954i | ||||
\(454\) | −9.30393 | − | 28.6345i | −0.436655 | − | 1.34389i | ||||
\(455\) | 6.13892 | + | 4.46019i | 0.287797 | + | 0.209097i | ||||
\(456\) | −11.1397 | + | 34.2844i | −0.521663 | + | 1.60551i | ||||
\(457\) | −1.40842 | + | 4.33468i | −0.0658832 | + | 0.202768i | −0.978579 | − | 0.205872i | \(-0.933997\pi\) |
0.912696 | + | 0.408640i | \(0.133997\pi\) | |||||||
\(458\) | −10.8942 | − | 33.5288i | −0.509051 | − | 1.56670i | ||||
\(459\) | 5.18283 | 0.241914 | ||||||||
\(460\) | −59.1301 | −2.75695 | ||||||||
\(461\) | 5.25050 | + | 16.1594i | 0.244540 | + | 0.752618i | 0.995712 | + | 0.0925105i | \(0.0294892\pi\) |
−0.751171 | + | 0.660107i | \(0.770511\pi\) | |||||||
\(462\) | 5.57861 | − | 4.05310i | 0.259540 | − | 0.188567i | ||||
\(463\) | 22.1896 | + | 16.1217i | 1.03124 | + | 0.749239i | 0.968556 | − | 0.248795i | \(-0.0800345\pi\) |
0.0626822 | + | 0.998034i | \(0.480035\pi\) | |||||||
\(464\) | 0.0521088 | 0.00241909 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 30.1392 | 1.39617 | ||||||||
\(467\) | 18.5350 | + | 13.4665i | 0.857697 | + | 0.623153i | 0.927257 | − | 0.374425i | \(-0.122160\pi\) |
−0.0695608 | + | 0.997578i | \(0.522160\pi\) | |||||||
\(468\) | −17.6726 | + | 12.8399i | −0.816914 | + | 0.593523i | ||||
\(469\) | 2.38919 | + | 7.35318i | 0.110323 | + | 0.339538i | ||||
\(470\) | 46.3327 | 2.13717 | ||||||||
\(471\) | 20.3277 | 0.936653 | ||||||||
\(472\) | 8.97705 | + | 27.6285i | 0.413202 | + | 1.27171i | ||||
\(473\) | 0.0522553 | − | 0.160825i | 0.00240270 | − | 0.00739476i | ||||
\(474\) | −8.20974 | + | 25.2670i | −0.377086 | + | 1.16055i | ||||
\(475\) | 4.66141 | + | 3.38671i | 0.213880 | + | 0.155393i | ||||
\(476\) | 7.20710 | + | 22.1812i | 0.330337 | + | 1.01667i | ||||
\(477\) | 16.0765 | + | 11.6803i | 0.736094 | + | 0.534804i | ||||
\(478\) | −43.7626 | + | 31.7954i | −2.00166 | + | 1.45429i | ||||
\(479\) | 2.79569 | − | 8.60426i | 0.127738 | − | 0.393139i | −0.866652 | − | 0.498914i | \(-0.833732\pi\) |
0.994390 | + | 0.105775i | \(0.0337324\pi\) | |||||||
\(480\) | −26.6278 | + | 19.3462i | −1.21539 | + | 0.883031i | ||||
\(481\) | 12.9298 | − | 9.39403i | 0.589547 | − | 0.428331i | ||||
\(482\) | −17.6213 | + | 54.2329i | −0.802629 | + | 2.47024i | ||||
\(483\) | −23.4570 | + | 17.0425i | −1.06733 | + | 0.775461i | ||||
\(484\) | 28.1392 | + | 20.4443i | 1.27905 | + | 0.929287i | ||||
\(485\) | −9.48859 | − | 29.2029i | −0.430855 | − | 1.32603i | ||||
\(486\) | 41.6931 | + | 30.2918i | 1.89124 | + | 1.37406i | ||||
\(487\) | 7.29980 | − | 22.4665i | 0.330786 | − | 1.01805i | −0.637975 | − | 0.770057i | \(-0.720228\pi\) |
0.968761 | − | 0.247997i | \(-0.0797722\pi\) | |||||||
\(488\) | 7.40594 | − | 22.7931i | 0.335251 | − | 1.03180i | ||||
\(489\) | −13.4091 | − | 41.2688i | −0.606378 | − | 1.86624i | ||||
\(490\) | 25.5631 | 1.15482 | ||||||||
\(491\) | −9.22692 | −0.416405 | −0.208202 | − | 0.978086i | \(-0.566761\pi\) | ||||
−0.208202 | + | 0.978086i | \(0.566761\pi\) | |||||||
\(492\) | −19.2634 | − | 59.2867i | −0.868462 | − | 2.67285i | ||||
\(493\) | −0.456815 | + | 0.331896i | −0.0205739 | + | 0.0149478i | ||||
\(494\) | 16.4161 | + | 11.9270i | 0.738596 | + | 0.536621i | ||||
\(495\) | 6.35220 | 0.285510 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −5.45442 | −0.244664 | ||||||||
\(498\) | 12.6757 | + | 9.20943i | 0.568011 | + | 0.412684i | ||||
\(499\) | 22.9874 | − | 16.7013i | 1.02906 | − | 0.747653i | 0.0609364 | − | 0.998142i | \(-0.480591\pi\) |
0.968119 | + | 0.250489i | \(0.0805913\pi\) | |||||||
\(500\) | 9.64554 | + | 29.6859i | 0.431362 | + | 1.32759i | ||||
\(501\) | 61.9718 | 2.76870 | ||||||||
\(502\) | 53.5211 | 2.38876 | ||||||||
\(503\) | 5.64823 | + | 17.3835i | 0.251842 | + | 0.775091i | 0.994435 | + | 0.105348i | \(0.0335957\pi\) |
−0.742593 | + | 0.669743i | \(0.766404\pi\) | |||||||
\(504\) | 5.24359 | − | 16.1381i | 0.233568 | − | 0.718848i | ||||
\(505\) | −5.67030 | + | 17.4514i | −0.252325 | + | 0.776577i | ||||
\(506\) | 9.74952 | + | 7.08344i | 0.433419 | + | 0.314898i | ||||
\(507\) | −7.39015 | − | 22.7445i | −0.328208 | − | 1.01012i | ||||
\(508\) | −3.46176 | − | 2.51512i | −0.153591 | − | 0.111590i | ||||
\(509\) | 8.40274 | − | 6.10495i | 0.372445 | − | 0.270597i | −0.385779 | − | 0.922591i | \(-0.626067\pi\) |
0.758224 | + | 0.651994i | \(0.226067\pi\) | |||||||
\(510\) | −19.8381 | + | 61.0553i | −0.878444 | + | 2.70357i | ||||
\(511\) | 3.48875 | − | 2.53472i | 0.154333 | − | 0.112130i | ||||
\(512\) | 3.69272 | − | 2.68292i | 0.163197 | − | 0.118569i | ||||
\(513\) | −1.69623 | + | 5.22044i | −0.0748902 | + | 0.230488i | ||||
\(514\) | −28.6486 | + | 20.8144i | −1.26363 | + | 0.918083i | ||||
\(515\) | 11.2965 | + | 8.20740i | 0.497784 | + | 0.361661i | ||||
\(516\) | −0.602125 | − | 1.85315i | −0.0265071 | − | 0.0815804i | ||||
\(517\) | −4.77000 | − | 3.46561i | −0.209785 | − | 0.152417i | ||||
\(518\) | −9.62851 | + | 29.6335i | −0.423053 | + | 1.30202i | ||||
\(519\) | 7.05096 | − | 21.7006i | 0.309503 | − | 0.952552i | ||||
\(520\) | −4.47451 | − | 13.7711i | −0.196220 | − | 0.603903i | ||||
\(521\) | 9.25044 | 0.405269 | 0.202635 | − | 0.979254i | \(-0.435050\pi\) | ||||
0.202635 | + | 0.979254i | \(0.435050\pi\) | |||||||
\(522\) | 1.03107 | 0.0451289 | ||||||||
\(523\) | 2.03184 | + | 6.25335i | 0.0888461 | + | 0.273440i | 0.985601 | − | 0.169087i | \(-0.0540820\pi\) |
−0.896755 | + | 0.442527i | \(0.854082\pi\) | |||||||
\(524\) | 21.5725 | − | 15.6734i | 0.942400 | − | 0.684694i | ||||
\(525\) | −4.09367 | − | 2.97422i | −0.178662 | − | 0.129806i | ||||
\(526\) | 15.7047 | 0.684759 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −0.753909 | −0.0328097 | ||||||||
\(529\) | −22.3875 | − | 16.2655i | −0.973371 | − | 0.707195i | ||||
\(530\) | −26.7456 | + | 19.4318i | −1.16176 | + | 0.844064i | ||||
\(531\) | 10.1774 | + | 31.3227i | 0.441660 | + | 1.35929i | ||||
\(532\) | −24.7009 | −1.07092 | ||||||||
\(533\) | −13.9809 | −0.605579 | ||||||||
\(534\) | 3.99720 | + | 12.3021i | 0.172976 | + | 0.532364i | ||||
\(535\) | −1.40837 | + | 4.33453i | −0.0608893 | + | 0.187398i | ||||
\(536\) | 4.55910 | − | 14.0315i | 0.196923 | − | 0.606067i | ||||
\(537\) | −23.2258 | − | 16.8745i | −1.00227 | − | 0.728190i | ||||
\(538\) | −7.50119 | − | 23.0863i | −0.323399 | − | 0.995321i | ||||
\(539\) | −2.63175 | − | 1.91208i | −0.113358 | − | 0.0823591i | ||||
\(540\) | 7.95331 | − | 5.77842i | 0.342256 | − | 0.248663i | ||||
\(541\) | −0.680850 | + | 2.09544i | −0.0292720 | + | 0.0900900i | −0.964625 | − | 0.263625i | \(-0.915082\pi\) |
0.935353 | + | 0.353715i | \(0.115082\pi\) | |||||||
\(542\) | −2.94425 | + | 2.13912i | −0.126466 | + | 0.0918831i | ||||
\(543\) | −30.7353 | + | 22.3305i | −1.31898 | + | 0.958294i | ||||
\(544\) | −7.01112 | + | 21.5780i | −0.300599 | + | 0.925150i | ||||
\(545\) | 23.7811 | − | 17.2780i | 1.01867 | − | 0.740108i | ||||
\(546\) | −14.4167 | − | 10.4743i | −0.616978 | − | 0.448261i | ||||
\(547\) | −1.50289 | − | 4.62541i | −0.0642588 | − | 0.197768i | 0.913773 | − | 0.406226i | \(-0.133156\pi\) |
−0.978031 | + | 0.208458i | \(0.933156\pi\) | |||||||
\(548\) | −44.3179 | − | 32.1988i | −1.89317 | − | 1.37547i | ||||
\(549\) | 8.39618 | − | 25.8408i | 0.358340 | − | 1.10286i | ||||
\(550\) | −0.649903 | + | 2.00019i | −0.0277119 | + | 0.0852886i | ||||
\(551\) | −0.184799 | − | 0.568753i | −0.00787271 | − | 0.0242297i | ||||
\(552\) | 55.3277 | 2.35491 | ||||||||
\(553\) | −7.25322 | −0.308438 | ||||||||
\(554\) | −8.62905 | − | 26.5575i | −0.366613 | − | 1.12832i | ||||
\(555\) | −43.3241 | + | 31.4768i | −1.83901 | + | 1.33612i | ||||
\(556\) | 19.7421 | + | 14.3435i | 0.837251 | + | 0.608298i | ||||
\(557\) | −11.0363 | −0.467623 | −0.233811 | − | 0.972282i | \(-0.575120\pi\) | ||||
−0.233811 | + | 0.972282i | \(0.575120\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.437007 | −0.0184834 | ||||||||
\(560\) | 1.30854 | + | 0.950708i | 0.0552958 | + | 0.0401748i | ||||
\(561\) | 6.60919 | − | 4.80186i | 0.279040 | − | 0.202735i | ||||
\(562\) | −15.3115 | − | 47.1238i | −0.645875 | − | 1.98780i | ||||
\(563\) | −11.1924 | −0.471704 | −0.235852 | − | 0.971789i | \(-0.575788\pi\) | ||||
−0.235852 | + | 0.971789i | \(0.575788\pi\) | |||||||
\(564\) | −67.9387 | −2.86074 | ||||||||
\(565\) | −8.53483 | − | 26.2675i | −0.359063 | − | 1.10508i | ||||
\(566\) | −0.491164 | + | 1.51165i | −0.0206452 | + | 0.0635393i | ||||
\(567\) | −3.65663 | + | 11.2540i | −0.153564 | + | 0.472622i | ||||
\(568\) | 8.42043 | + | 6.11780i | 0.353314 | + | 0.256697i | ||||
\(569\) | 14.4997 | + | 44.6255i | 0.607859 | + | 1.87080i | 0.475797 | + | 0.879555i | \(0.342160\pi\) |
0.132061 | + | 0.991242i | \(0.457840\pi\) | |||||||
\(570\) | −55.0059 | − | 39.9641i | −2.30394 | − | 1.67391i | ||||
\(571\) | −16.5522 | + | 12.0259i | −0.692689 | + | 0.503268i | −0.877543 | − | 0.479498i | \(-0.840819\pi\) |
0.184854 | + | 0.982766i | \(0.440819\pi\) | |||||||
\(572\) | −1.42908 | + | 4.39827i | −0.0597530 | + | 0.183901i | ||||
\(573\) | −4.65097 | + | 3.37913i | −0.194297 | + | 0.141165i | ||||
\(574\) | 22.0514 | − | 16.0213i | 0.920407 | − | 0.668715i | ||||
\(575\) | 2.73272 | − | 8.41044i | 0.113962 | − | 0.350740i | ||||
\(576\) | 35.7834 | − | 25.9982i | 1.49098 | − | 1.08326i | ||||
\(577\) | −2.95157 | − | 2.14444i | −0.122876 | − | 0.0892744i | 0.524650 | − | 0.851318i | \(-0.324196\pi\) |
−0.647526 | + | 0.762044i | \(0.724196\pi\) | |||||||
\(578\) | 1.55287 | + | 4.77925i | 0.0645909 | + | 0.198790i | ||||
\(579\) | −52.7941 | − | 38.3572i | −2.19405 | − | 1.59407i | ||||
\(580\) | −0.330970 | + | 1.01862i | −0.0137428 | + | 0.0422959i | ||||
\(581\) | −1.32184 | + | 4.06822i | −0.0548393 | + | 0.168778i | ||||
\(582\) | 22.2831 | + | 68.5803i | 0.923664 | + | 2.84275i | ||||
\(583\) | 4.20696 | 0.174235 | ||||||||
\(584\) | −8.22887 | −0.340513 | ||||||||
\(585\) | −5.07279 | − | 15.6124i | −0.209734 | − | 0.645494i | ||||
\(586\) | −16.8236 | + | 12.2231i | −0.694978 | + | 0.504931i | ||||
\(587\) | −18.5043 | − | 13.4442i | −0.763755 | − | 0.554901i | 0.136305 | − | 0.990667i | \(-0.456477\pi\) |
−0.900060 | + | 0.435766i | \(0.856477\pi\) | |||||||
\(588\) | −37.4838 | −1.54580 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −54.7914 | −2.25573 | ||||||||
\(591\) | −12.7452 | − | 9.25996i | −0.524269 | − | 0.380904i | ||||
\(592\) | 2.75604 | − | 2.00238i | 0.113272 | − | 0.0822972i | ||||
\(593\) | −6.01340 | − | 18.5073i | −0.246941 | − | 0.760005i | −0.995311 | − | 0.0967243i | \(-0.969163\pi\) |
0.748371 | − | 0.663281i | \(-0.230837\pi\) | |||||||
\(594\) | −2.00358 | −0.0822081 | ||||||||
\(595\) | −17.5267 | −0.718525 | ||||||||
\(596\) | −6.53613 | − | 20.1161i | −0.267730 | − | 0.823990i | ||||
\(597\) | 3.59033 | − | 11.0499i | 0.146942 | − | 0.452242i | ||||
\(598\) | 9.62383 | − | 29.6191i | 0.393548 | − | 1.21122i | ||||
\(599\) | −28.4546 | − | 20.6735i | −1.16262 | − | 0.844696i | −0.172517 | − | 0.985007i | \(-0.555190\pi\) |
−0.990108 | + | 0.140311i | \(0.955190\pi\) | |||||||
\(600\) | 2.98377 | + | 9.18310i | 0.121812 | + | 0.374899i | ||||
\(601\) | 4.76354 | + | 3.46091i | 0.194309 | + | 0.141174i | 0.680686 | − | 0.732575i | \(-0.261682\pi\) |
−0.486377 | + | 0.873749i | \(0.661682\pi\) | |||||||
\(602\) | 0.689270 | − | 0.500784i | 0.0280925 | − | 0.0204104i | ||||
\(603\) | 5.16869 | − | 15.9076i | 0.210485 | − | 0.647808i | ||||
\(604\) | −14.8600 | + | 10.7964i | −0.604645 | + | 0.439300i | ||||
\(605\) | −21.1463 | + | 15.3637i | −0.859719 | + | 0.624622i | ||||
\(606\) | 13.3162 | − | 40.9830i | 0.540933 | − | 1.66482i | ||||
\(607\) | −31.4585 | + | 22.8559i | −1.27686 | + | 0.927694i | −0.999453 | − | 0.0330586i | \(-0.989475\pi\) |
−0.277408 | + | 0.960752i | \(0.589475\pi\) | |||||||
\(608\) | −19.4400 | − | 14.1240i | −0.788398 | − | 0.572805i | ||||
\(609\) | 0.162291 | + | 0.499481i | 0.00657638 | + | 0.0202400i | ||||
\(610\) | 36.5693 | + | 26.5692i | 1.48065 | + | 1.07575i | ||||
\(611\) | −4.70851 | + | 14.4913i | −0.190486 | + | 0.586255i | ||||
\(612\) | 15.5916 | − | 47.9859i | 0.630252 | − | 1.93972i | ||||
\(613\) | 14.0919 | + | 43.3704i | 0.569167 | + | 1.75172i | 0.655234 | + | 0.755426i | \(0.272570\pi\) |
−0.0860667 | + | 0.996289i | \(0.527430\pi\) | |||||||
\(614\) | −72.3009 | −2.91783 | ||||||||
\(615\) | 46.8461 | 1.88902 | ||||||||
\(616\) | −1.11010 | − | 3.41654i | −0.0447272 | − | 0.137656i | ||||
\(617\) | 5.36093 | − | 3.89495i | 0.215823 | − | 0.156805i | −0.474621 | − | 0.880190i | \(-0.657415\pi\) |
0.690444 | + | 0.723385i | \(0.257415\pi\) | |||||||
\(618\) | −26.5288 | − | 19.2743i | −1.06715 | − | 0.775328i | ||||
\(619\) | −41.5360 | −1.66947 | −0.834736 | − | 0.550650i | \(-0.814380\pi\) | ||||
−0.834736 | + | 0.550650i | \(0.814380\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 8.42469 | 0.338071 | ||||||||
\(622\) | 33.0689 | + | 24.0260i | 1.32594 | + | 0.963353i | ||||
\(623\) | −2.85703 | + | 2.07575i | −0.114464 | + | 0.0831632i | ||||
\(624\) | 0.602062 | + | 1.85296i | 0.0241018 | + | 0.0741776i | ||||
\(625\) | −29.6682 | −1.18673 | ||||||||
\(626\) | 50.0011 | 1.99845 | ||||||||
\(627\) | 2.67367 | + | 8.22871i | 0.106776 | + | 0.328623i | ||||
\(628\) | 8.21338 | − | 25.2782i | 0.327750 | − | 1.00871i | ||||
\(629\) | −11.4073 | + | 35.1080i | −0.454838 | + | 1.39985i | ||||
\(630\) | 25.8920 | + | 18.8116i | 1.03156 | + | 0.749473i | ||||
\(631\) | −3.44391 | − | 10.5993i | −0.137100 | − | 0.421950i | 0.858811 | − | 0.512293i | \(-0.171204\pi\) |
−0.995911 | + | 0.0903431i | \(0.971204\pi\) | |||||||
\(632\) | 11.1974 | + | 8.13537i | 0.445408 | + | 0.323608i | ||||
\(633\) | 38.2967 | − | 27.8242i | 1.52216 | − | 1.10591i | ||||
\(634\) | 0.724507 | − | 2.22980i | 0.0287739 | − | 0.0885568i | ||||
\(635\) | 2.60147 | − | 1.89008i | 0.103236 | − | 0.0750056i | ||||
\(636\) | 39.2177 | − | 28.4934i | 1.55508 | − | 1.12983i | ||||
\(637\) | −2.59782 | + | 7.99527i | −0.102929 | + | 0.316784i | ||||
\(638\) | 0.176596 | − | 0.128305i | 0.00699151 | − | 0.00507963i | ||||
\(639\) | 9.54632 | + | 6.93581i | 0.377647 | + | 0.274376i | ||||
\(640\) | 14.7387 | + | 45.3612i | 0.582600 | + | 1.79306i | ||||
\(641\) | 14.2009 | + | 10.3176i | 0.560903 | + | 0.407520i | 0.831789 | − | 0.555092i | \(-0.187317\pi\) |
−0.270887 | + | 0.962611i | \(0.587317\pi\) | |||||||
\(642\) | 3.30743 | − | 10.1792i | 0.130534 | − | 0.401742i | ||||
\(643\) | 0.678617 | − | 2.08857i | 0.0267621 | − | 0.0823651i | −0.936783 | − | 0.349910i | \(-0.886212\pi\) |
0.963545 | + | 0.267545i | \(0.0862123\pi\) | |||||||
\(644\) | 11.7152 | + | 36.0555i | 0.461642 | + | 1.42079i | ||||
\(645\) | 1.46429 | 0.0576563 | ||||||||
\(646\) | −46.8682 | −1.84401 | ||||||||
\(647\) | 10.0259 | + | 30.8566i | 0.394160 | + | 1.21310i | 0.929614 | + | 0.368535i | \(0.120140\pi\) |
−0.535454 | + | 0.844564i | \(0.679860\pi\) | |||||||
\(648\) | 18.2677 | − | 13.2723i | 0.717625 | − | 0.521385i | ||||
\(649\) | 5.64084 | + | 4.09831i | 0.221422 | + | 0.160873i | ||||
\(650\) | 5.43508 | 0.213181 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −56.7370 | −2.22199 | ||||||||
\(653\) | −13.3407 | − | 9.69256i | −0.522061 | − | 0.379299i | 0.295319 | − | 0.955399i | \(-0.404574\pi\) |
−0.817380 | + | 0.576099i | \(0.804574\pi\) | |||||||
\(654\) | −55.8478 | + | 40.5758i | −2.18382 | + | 1.58664i | ||||
\(655\) | 6.19225 | + | 19.0578i | 0.241951 | + | 0.744649i | ||||
\(656\) | −2.98009 | −0.116353 | ||||||||
\(657\) | −9.32914 | −0.363964 | ||||||||
\(658\) | −9.17967 | − | 28.2521i | −0.357861 | − | 1.10138i | ||||
\(659\) | −6.10043 | + | 18.7752i | −0.237639 | + | 0.731377i | 0.759122 | + | 0.650949i | \(0.225629\pi\) |
−0.996760 | + | 0.0804282i | \(0.974371\pi\) | |||||||
\(660\) | 4.78847 | − | 14.7374i | 0.186391 | − | 0.573652i | ||||
\(661\) | −9.53088 | − | 6.92459i | −0.370708 | − | 0.269335i | 0.386796 | − | 0.922165i | \(-0.373582\pi\) |
−0.757505 | + | 0.652830i | \(0.773582\pi\) | |||||||
\(662\) | −19.0313 | − | 58.5723i | −0.739673 | − | 2.27648i | ||||
\(663\) | −17.0800 | − | 12.4094i | −0.663333 | − | 0.481940i | ||||
\(664\) | 6.60364 | − | 4.79783i | 0.256271 | − | 0.186192i | ||||
\(665\) | 5.73611 | − | 17.6539i | 0.222437 | − | 0.684590i | ||||
\(666\) | 54.5336 | − | 39.6210i | 2.11313 | − | 1.53528i | ||||
\(667\) | −0.742554 | + | 0.539497i | −0.0287518 | + | 0.0208894i | ||||
\(668\) | 25.0396 | − | 77.0639i | 0.968810 | − | 2.98169i | ||||
\(669\) | 12.7848 | − | 9.28872i | 0.494290 | − | 0.359123i | ||||
\(670\) | 22.5121 | + | 16.3560i | 0.869718 | + | 0.631887i | ||||
\(671\) | −1.77752 | − | 5.47066i | −0.0686206 | − | 0.211192i | ||||
\(672\) | 17.0723 | + | 12.4038i | 0.658579 | + | 0.478486i | ||||
\(673\) | −15.5689 | + | 47.9162i | −0.600138 | + | 1.84704i | −0.0728608 | + | 0.997342i | \(0.523213\pi\) |
−0.527277 | + | 0.849693i | \(0.676787\pi\) | |||||||
\(674\) | −22.7764 | + | 70.0985i | −0.877314 | + | 2.70009i | ||||
\(675\) | 0.454335 | + | 1.39830i | 0.0174874 | + | 0.0538206i | ||||
\(676\) | −31.2695 | −1.20267 | ||||||||
\(677\) | 3.97995 | 0.152962 | 0.0764810 | − | 0.997071i | \(-0.475632\pi\) | ||||
0.0764810 | + | 0.997071i | \(0.475632\pi\) | |||||||
\(678\) | 20.0433 | + | 61.6869i | 0.769758 | + | 2.36907i | ||||
\(679\) | −15.9270 | + | 11.5717i | −0.611223 | + | 0.444079i | ||||
\(680\) | 27.0574 | + | 19.6584i | 1.03760 | + | 0.753864i | ||||
\(681\) | −33.1770 | −1.27134 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.23244 | 0.200214 | 0.100107 | − | 0.994977i | \(-0.468082\pi\) | ||||
0.100107 | + | 0.994977i | \(0.468082\pi\) | |||||||
\(684\) | 43.2314 | + | 31.4095i | 1.65300 | + | 1.20097i | ||||
\(685\) | 33.3044 | − | 24.1971i | 1.27250 | − | 0.924522i | ||||
\(686\) | −13.0604 | − | 40.1958i | −0.498648 | − | 1.53468i | ||||
\(687\) | −38.8476 | −1.48213 | ||||||||
\(688\) | −0.0931499 | −0.00355130 | ||||||||
\(689\) | −3.35963 | − | 10.3399i | −0.127992 | − | 0.393918i | ||||
\(690\) | −32.2468 | + | 99.2455i | −1.22762 | + | 3.77821i | ||||
\(691\) | 2.84158 | − | 8.74547i | 0.108099 | − | 0.332693i | −0.882347 | − | 0.470600i | \(-0.844037\pi\) |
0.990445 | + | 0.137907i | \(0.0440374\pi\) | |||||||
\(692\) | −24.1365 | − | 17.5362i | −0.917532 | − | 0.666626i | ||||
\(693\) | −1.25853 | − | 3.87336i | −0.0478076 | − | 0.147137i | ||||
\(694\) | 5.82695 | + | 4.23353i | 0.221188 | + | 0.160703i | ||||
\(695\) | −14.8359 | + | 10.7789i | −0.562760 | + | 0.408869i | ||||
\(696\) | 0.309687 | − | 0.953120i | 0.0117387 | − | 0.0361279i | ||||
\(697\) | 26.1251 | − | 18.9810i | 0.989560 | − | 0.718957i | ||||
\(698\) | 41.1196 | − | 29.8751i | 1.55640 | − | 1.13079i | ||||
\(699\) | 10.2628 | − | 31.5857i | 0.388175 | − | 1.19468i | ||||
\(700\) | −5.35258 | + | 3.88888i | −0.202309 | + | 0.146986i | ||||
\(701\) | 32.8091 | + | 23.8372i | 1.23918 | + | 0.900319i | 0.997544 | − | 0.0700465i | \(-0.0223148\pi\) |
0.241640 | + | 0.970366i | \(0.422315\pi\) | |||||||
\(702\) | 1.60004 | + | 4.92441i | 0.0603895 | + | 0.185860i | ||||
\(703\) | −31.6294 | − | 22.9801i | −1.19293 | − | 0.866712i | ||||
\(704\) | 2.89361 | − | 8.90563i | 0.109057 | − | 0.335643i | ||||
\(705\) | 15.7769 | − | 48.5564i | 0.594193 | − | 1.82874i | ||||
\(706\) | −3.51712 | − | 10.8246i | −0.132368 | − | 0.407388i | ||||
\(707\) | 11.7647 | 0.442457 | ||||||||
\(708\) | 80.3420 | 3.01944 | ||||||||
\(709\) | 11.5220 | + | 35.4612i | 0.432719 | + | 1.33177i | 0.895406 | + | 0.445250i | \(0.146885\pi\) |
−0.462687 | + | 0.886521i | \(0.653115\pi\) | |||||||
\(710\) | −15.8817 | + | 11.5387i | −0.596028 | + | 0.433040i | ||||
\(711\) | 12.6946 | + | 9.22314i | 0.476083 | + | 0.345895i | ||||
\(712\) | 6.73883 | 0.252548 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 41.1599 | 1.54037 | ||||||||
\(715\) | −2.81161 | − | 2.04276i | −0.105148 | − | 0.0763948i | ||||
\(716\) | −30.3684 | + | 22.0639i | −1.13492 | + | 0.824567i | ||||
\(717\) | 18.4196 | + | 56.6897i | 0.687893 | + | 2.11712i | ||||
\(718\) | −0.832694 | −0.0310759 | ||||||||
\(719\) | 18.5799 | 0.692912 | 0.346456 | − | 0.938066i | \(-0.387385\pi\) | ||||
0.346456 | + | 0.938066i | \(0.387385\pi\) | |||||||
\(720\) | −1.08129 | − | 3.32786i | −0.0402971 | − | 0.124022i | ||||
\(721\) | 2.76647 | − | 8.51433i | 0.103029 | − | 0.317090i | ||||
\(722\) | 1.79071 | − | 5.51124i | 0.0666434 | − | 0.205107i | ||||
\(723\) | 50.8354 | + | 36.9341i | 1.89059 | + | 1.37359i | ||||
\(724\) | 15.3502 | + | 47.2430i | 0.570484 | + | 1.75577i | ||||
\(725\) | −0.129589 | − | 0.0941519i | −0.00481282 | − | 0.00349671i | ||||
\(726\) | 49.6601 | − | 36.0802i | 1.84306 | − | 1.33906i | ||||
\(727\) | 5.06083 | − | 15.5756i | 0.187696 | − | 0.577668i | −0.812289 | − | 0.583255i | \(-0.801779\pi\) |
0.999984 | + | 0.00558775i | \(0.00177865\pi\) | |||||||
\(728\) | −7.51065 | + | 5.45681i | −0.278363 | + | 0.202243i | ||||
\(729\) | 28.0140 | − | 20.3534i | 1.03756 | − | 0.753829i | ||||
\(730\) | 4.79605 | − | 14.7607i | 0.177510 | − | 0.546319i | ||||
\(731\) | 0.816604 | − | 0.593298i | 0.0302032 | − | 0.0219439i | ||||
\(732\) | −53.6225 | − | 38.9590i | −1.98194 | − | 1.43997i | ||||
\(733\) | −0.355783 | − | 1.09499i | −0.0131411 | − | 0.0404443i | 0.944271 | − | 0.329169i | \(-0.106769\pi\) |
−0.957412 | + | 0.288725i | \(0.906769\pi\) | |||||||
\(734\) | −54.8603 | − | 39.8583i | −2.02493 | − | 1.47120i | ||||
\(735\) | 8.70459 | − | 26.7900i | 0.321074 | − | 0.988163i | ||||
\(736\) | −11.3966 | + | 35.0751i | −0.420084 | + | 1.29289i | ||||
\(737\) | −1.09425 | − | 3.36774i | −0.0403070 | − | 0.124052i | ||||
\(738\) | −58.9668 | −2.17060 | ||||||||
\(739\) | 20.7158 | 0.762043 | 0.381022 | − | 0.924566i | \(-0.375572\pi\) | ||||
0.381022 | + | 0.924566i | \(0.375572\pi\) | |||||||
\(740\) | 21.6374 | + | 66.5931i | 0.795407 | + | 2.44801i | ||||
\(741\) | 18.0893 | − | 13.1427i | 0.664529 | − | 0.482808i | ||||
\(742\) | 17.1479 | + | 12.4586i | 0.629517 | + | 0.457371i | ||||
\(743\) | 35.2367 | 1.29271 | 0.646354 | − | 0.763038i | \(-0.276293\pi\) | ||||
0.646354 | + | 0.763038i | \(0.276293\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.8950 | 0.582348 | ||||||||
\(746\) | −33.0959 | − | 24.0456i | −1.21173 | − | 0.880370i | ||||
\(747\) | 7.48660 | − | 5.43934i | 0.273921 | − | 0.199015i | ||||
\(748\) | −3.30083 | − | 10.1589i | −0.120690 | − | 0.371447i | ||||
\(749\) | 2.92208 | 0.106771 | ||||||||
\(750\) | 55.0859 | 2.01145 | ||||||||
\(751\) | −13.3328 | − | 41.0342i | −0.486521 | − | 1.49736i | −0.829766 | − | 0.558112i | \(-0.811526\pi\) |
0.343245 | − | 0.939246i | \(-0.388474\pi\) | |||||||
\(752\) | −1.00364 | + | 3.08888i | −0.0365989 | + | 0.112640i | ||||
\(753\) | 18.2247 | − | 56.0898i | 0.664144 | − | 2.04403i | ||||
\(754\) | −0.456375 | − | 0.331576i | −0.0166202 | − | 0.0120753i | ||||
\(755\) | −4.26546 | − | 13.1277i | −0.155236 | − | 0.477767i | ||||
\(756\) | −5.09923 | − | 3.70481i | −0.185457 | − | 0.134743i | ||||
\(757\) | −22.1174 | + | 16.0692i | −0.803870 | + | 0.584045i | −0.912047 | − | 0.410086i | \(-0.865499\pi\) |
0.108177 | + | 0.994132i | \(0.465499\pi\) | |||||||
\(758\) | −1.75444 | + | 5.39961i | −0.0637241 | + | 0.196123i | ||||
\(759\) | 10.7433 | − | 7.80543i | 0.389955 | − | 0.283319i | ||||
\(760\) | −28.6563 | + | 20.8201i | −1.03947 | + | 0.755223i | ||||
\(761\) | −5.31261 | + | 16.3505i | −0.192582 | + | 0.592706i | 0.807414 | + | 0.589985i | \(0.200866\pi\) |
−0.999996 | + | 0.00272136i | \(0.999134\pi\) | |||||||
\(762\) | −6.10932 | + | 4.43868i | −0.221317 | + | 0.160797i | ||||
\(763\) | −15.2472 | − | 11.0777i | −0.551985 | − | 0.401041i | ||||
\(764\) | 2.32284 | + | 7.14896i | 0.0840373 | + | 0.258640i | ||||
\(765\) | 30.6752 | + | 22.2869i | 1.10907 | + | 0.805783i | ||||
\(766\) | 13.6323 | − | 41.9560i | 0.492556 | − | 1.51593i | ||||
\(767\) | 5.56812 | − | 17.1369i | 0.201053 | − | 0.618778i | ||||
\(768\) | −14.5551 | − | 44.7959i | −0.525211 | − | 1.61643i | ||||
\(769\) | 14.0567 | 0.506899 | 0.253450 | − | 0.967349i | \(-0.418435\pi\) | ||||
0.253450 | + | 0.967349i | \(0.418435\pi\) | |||||||
\(770\) | 6.77550 | 0.244172 | ||||||||
\(771\) | 12.0581 | + | 37.1111i | 0.434263 | + | 1.33652i | ||||
\(772\) | −69.0297 | + | 50.1530i | −2.48443 | + | 1.80505i | ||||
\(773\) | −17.9900 | − | 13.0705i | −0.647054 | − | 0.470112i | 0.215212 | − | 0.976567i | \(-0.430956\pi\) |
−0.862266 | + | 0.506455i | \(0.830956\pi\) | |||||||
\(774\) | −1.84315 | −0.0662507 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 37.5668 | 1.34857 | ||||||||
\(777\) | 27.7771 | + | 20.1813i | 0.996498 | + | 0.723998i | ||||
\(778\) | 9.84016 | − | 7.14930i | 0.352787 | − | 0.256315i | ||||
\(779\) | 10.5686 | + | 32.5268i | 0.378659 | + | 1.16539i | ||||
\(780\) | −40.0455 | −1.43386 | ||||||||
\(781\) | 2.49811 | 0.0893895 | ||||||||
\(782\) | 22.2287 | + | 68.4129i | 0.794897 | + | 2.44644i | ||||
\(783\) | 0.0471557 | − | 0.145130i | 0.00168521 | − | 0.00518654i | ||||
\(784\) | −0.553737 | + | 1.70423i | −0.0197763 | + | 0.0608653i | ||||
\(785\) | 16.1592 | + | 11.7403i | 0.576747 | + | 0.419031i | ||||
\(786\) | −14.5419 | − | 44.7554i | −0.518693 | − | 1.59637i | ||||
\(787\) | 25.9159 | + | 18.8290i | 0.923802 | + | 0.671182i | 0.944467 | − | 0.328605i | \(-0.106578\pi\) |
−0.0206654 | + | 0.999786i | \(0.506578\pi\) | |||||||
\(788\) | −16.6647 | + | 12.1076i | −0.593657 | + | 0.431317i | ||||
\(789\) | 5.34768 | − | 16.4585i | 0.190383 | − | 0.585937i | ||||
\(790\) | −21.1192 | + | 15.3440i | −0.751388 | + | 0.545915i | ||||
\(791\) | −14.3261 | + | 10.4085i | −0.509377 | + | 0.370084i | ||||
\(792\) | −2.40155 | + | 7.39122i | −0.0853354 | + | 0.262635i | ||||
\(793\) | −12.0263 | + | 8.73759i | −0.427065 | + | 0.310281i | ||||
\(794\) | −31.5970 | − | 22.9566i | −1.12134 | − | 0.814698i | ||||
\(795\) | 11.2572 | + | 34.6460i | 0.399251 | + | 1.22877i | ||||
\(796\) | −12.2902 | − | 8.92938i | −0.435616 | − | 0.316493i | ||||
\(797\) | −8.04966 | + | 24.7743i | −0.285134 | + | 0.877551i | 0.701225 | + | 0.712940i | \(0.252637\pi\) |
−0.986359 | + | 0.164611i | \(0.947363\pi\) | |||||||
\(798\) | −13.4707 | + | 41.4586i | −0.476859 | + | 1.46762i | ||||
\(799\) | −10.8755 | − | 33.4714i | −0.384748 | − | 1.18413i | ||||
\(800\) | −6.43625 | −0.227556 | ||||||||
\(801\) | 7.63987 | 0.269942 | ||||||||
\(802\) | −27.1247 | − | 83.4814i | −0.957808 | − | 2.94783i | ||||
\(803\) | −1.59784 | + | 1.16090i | −0.0563865 | + | 0.0409672i | ||||
\(804\) | −33.0100 | − | 23.9832i | −1.16417 | − | 0.845822i | ||||
\(805\) | −28.4897 | −1.00413 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −26.7486 | −0.941594 | ||||||||
\(808\) | −18.1621 | − | 13.1956i | −0.638942 | − | 0.464218i | ||||
\(809\) | −7.06224 | + | 5.13102i | −0.248295 | + | 0.180397i | −0.704971 | − | 0.709236i | \(-0.749040\pi\) |
0.456676 | + | 0.889633i | \(0.349040\pi\) | |||||||
\(810\) | 13.1605 | + | 40.5037i | 0.462411 | + | 1.42316i | ||||
\(811\) | −50.0784 | −1.75849 | −0.879245 | − | 0.476369i | \(-0.841953\pi\) | ||||
−0.879245 | + | 0.476369i | \(0.841953\pi\) | |||||||
\(812\) | 0.686695 | 0.0240983 | ||||||||
\(813\) | 1.23923 | + | 3.81396i | 0.0434617 | + | 0.133761i | ||||
\(814\) | 4.40984 | − | 13.5721i | 0.154565 | − | 0.475701i | ||||
\(815\) | 13.1756 | − | 40.5504i | 0.461522 | − | 1.42042i | ||||
\(816\) | −3.64068 | − | 2.64511i | −0.127449 | − | 0.0925973i | ||||
\(817\) | 0.330347 | + | 1.01670i | 0.0115574 | + | 0.0355700i | ||||
\(818\) | 0.930957 | + | 0.676380i | 0.0325501 | + | 0.0236491i | ||||
\(819\) | −8.51489 | + | 6.18643i | −0.297534 | + | 0.216171i | ||||
\(820\) | 18.9281 | − | 58.2546i | 0.660997 | − | 2.03434i | ||||
\(821\) | −41.0844 | + | 29.8495i | −1.43385 | + | 1.04176i | −0.444572 | + | 0.895743i | \(0.646644\pi\) |
−0.989283 | + | 0.146013i | \(0.953356\pi\) | |||||||
\(822\) | −78.2123 | + | 56.8246i | −2.72797 | + | 1.98199i | ||||
\(823\) | 1.95583 | − | 6.01943i | 0.0681760 | − | 0.209824i | −0.911164 | − | 0.412043i | \(-0.864815\pi\) |
0.979340 | + | 0.202219i | \(0.0648153\pi\) | |||||||
\(824\) | −13.8207 | + | 10.0413i | −0.481467 | + | 0.349806i | ||||
\(825\) | 1.87489 | + | 1.36219i | 0.0652753 | + | 0.0474253i | ||||
\(826\) | 10.8556 | + | 33.4100i | 0.377713 | + | 1.16248i | ||||
\(827\) | 2.99130 | + | 2.17331i | 0.104018 | + | 0.0755733i | 0.638578 | − | 0.769557i | \(-0.279523\pi\) |
−0.534561 | + | 0.845130i | \(0.679523\pi\) | |||||||
\(828\) | 25.3441 | − | 78.0012i | 0.880769 | − | 2.71073i | ||||
\(829\) | −8.04729 | + | 24.7670i | −0.279494 | + | 0.860193i | 0.708501 | + | 0.705709i | \(0.249372\pi\) |
−0.987995 | + | 0.154484i | \(0.950628\pi\) | |||||||
\(830\) | 4.75740 | + | 14.6418i | 0.165132 | + | 0.508223i | ||||
\(831\) | −30.7704 | −1.06741 | ||||||||
\(832\) | −24.1990 | −0.838951 | ||||||||
\(833\) | −6.00033 | − | 18.4671i | −0.207899 | − | 0.639848i | ||||
\(834\) | 34.8409 | − | 25.3134i | 1.20644 | − | 0.876530i | ||||
\(835\) | 49.2635 | + | 35.7920i | 1.70483 | + | 1.23863i | ||||
\(836\) | 11.3130 | 0.391267 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 31.1747 | 1.07691 | ||||||||
\(839\) | −6.06196 | − | 4.40427i | −0.209282 | − | 0.152052i | 0.478207 | − | 0.878247i | \(-0.341287\pi\) |
−0.687489 | + | 0.726195i | \(0.741287\pi\) | |||||||
\(840\) | 25.1661 | − | 18.2843i | 0.868314 | − | 0.630867i | ||||
\(841\) | −8.95636 | − | 27.5648i | −0.308840 | − | 0.950511i | ||||
\(842\) | −71.3374 | −2.45845 | ||||||||
\(843\) | −54.5992 | −1.88050 | ||||||||
\(844\) | −19.1265 | − | 58.8655i | −0.658363 | − | 2.02623i | ||||
\(845\) | 7.26150 | − | 22.3486i | 0.249803 | − | 0.768815i | ||||
\(846\) | −19.8590 | + | 61.1196i | −0.682765 | + | 2.10133i | ||||
\(847\) | 13.5579 | + | 9.85037i | 0.465854 | + | 0.338463i | ||||
\(848\) | −0.716119 | − | 2.20399i | −0.0245916 | − | 0.0756852i | ||||
\(849\) | 1.41695 | + | 1.02947i | 0.0486296 | + | 0.0353314i | ||||
\(850\) | −10.1562 | + | 7.37888i | −0.348353 | + | 0.253093i | ||||
\(851\) | −18.5425 | + | 57.0681i | −0.635630 | + | 1.95627i | ||||
\(852\) | 23.2877 | − | 16.9195i | 0.797822 | − | 0.579652i | ||||
\(853\) | 35.2626 | − | 25.6198i | 1.20737 | − | 0.877204i | 0.212378 | − | 0.977187i | \(-0.431879\pi\) |
0.994989 | + | 0.0999836i | \(0.0318790\pi\) | |||||||
\(854\) | 8.95569 | − | 27.5628i | 0.306457 | − | 0.943179i | ||||
\(855\) | −32.4879 | + | 23.6039i | −1.11106 | + | 0.807235i | ||||
\(856\) | −4.51106 | − | 3.27747i | −0.154185 | − | 0.112022i | ||||
\(857\) | 12.1205 | + | 37.3031i | 0.414029 | + | 1.27425i | 0.913117 | + | 0.407698i | \(0.133668\pi\) |
−0.499088 | + | 0.866551i | \(0.666332\pi\) | |||||||
\(858\) | 6.60282 | + | 4.79723i | 0.225416 | + | 0.163775i | ||||
\(859\) | 5.62451 | − | 17.3105i | 0.191906 | − | 0.590625i | −0.808093 | − | 0.589055i | \(-0.799500\pi\) |
0.999999 | − | 0.00157032i | \(-0.000499849\pi\) | |||||||
\(860\) | 0.591643 | − | 1.82089i | 0.0201749 | − | 0.0620918i | ||||
\(861\) | −9.28139 | − | 28.5652i | −0.316309 | − | 0.973499i | ||||
\(862\) | −27.8168 | −0.947443 | ||||||||
\(863\) | −44.9477 | −1.53004 | −0.765018 | − | 0.644009i | \(-0.777270\pi\) | ||||
−0.765018 | + | 0.644009i | \(0.777270\pi\) | |||||||
\(864\) | −1.89477 | − | 5.83151i | −0.0644614 | − | 0.198392i | ||||
\(865\) | 18.1383 | − | 13.1783i | 0.616721 | − | 0.448074i | ||||
\(866\) | −60.4700 | − | 43.9340i | −2.05486 | − | 1.49294i | ||||
\(867\) | 5.53740 | 0.188060 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.32196 | 0.112690 | ||||||||
\(870\) | 1.52919 | + | 1.11102i | 0.0518442 | + | 0.0376670i | ||||
\(871\) | −7.40338 | + | 5.37887i | −0.250854 | + | 0.182256i | ||||
\(872\) | 11.1133 | + | 34.2032i | 0.376343 | + | 1.15827i | ||||
\(873\) | 42.5899 | 1.44145 | ||||||||
\(874\) | −76.1844 | −2.57698 | ||||||||
\(875\) | 4.64736 | + | 14.3031i | 0.157109 | + | 0.483533i | ||||
\(876\) | −7.03257 | + | 21.6440i | −0.237608 | + | 0.731283i | ||||
\(877\) | −13.1799 | + | 40.5636i | −0.445054 | + | 1.36973i | 0.437371 | + | 0.899281i | \(0.355910\pi\) |
−0.882425 | + | 0.470453i | \(0.844090\pi\) | |||||||
\(878\) | −23.0892 | − | 16.7753i | −0.779224 | − | 0.566139i | ||||
\(879\) | 7.08104 | + | 21.7932i | 0.238837 | + | 0.735066i | ||||
\(880\) | −0.599307 | − | 0.435422i | −0.0202026 | − | 0.0146781i | ||||
\(881\) | −7.21362 | + | 5.24100i | −0.243033 | + | 0.176574i | −0.702633 | − | 0.711552i | \(-0.747993\pi\) |
0.459600 | + | 0.888126i | \(0.347993\pi\) | |||||||
\(882\) | −10.9568 | + | 33.7215i | −0.368934 | + | 1.13546i | ||||
\(883\) | 38.0791 | − | 27.6661i | 1.28146 | − | 0.931038i | 0.281867 | − | 0.959453i | \(-0.409046\pi\) |
0.999596 | + | 0.0284158i | \(0.00904624\pi\) | |||||||
\(884\) | −22.3326 | + | 16.2256i | −0.751126 | + | 0.545725i | ||||
\(885\) | −18.6572 | + | 57.4211i | −0.627156 | + | 1.93019i | ||||
\(886\) | 8.81779 | − | 6.40650i | 0.296239 | − | 0.215231i | ||||
\(887\) | −2.55372 | − | 1.85538i | −0.0857454 | − | 0.0622977i | 0.544087 | − | 0.839029i | \(-0.316876\pi\) |
−0.629832 | + | 0.776731i | \(0.716876\pi\) | |||||||
\(888\) | −20.2460 | − | 62.3109i | −0.679412 | − | 2.09102i | ||||
\(889\) | −1.66793 | − | 1.21182i | −0.0559404 | − | 0.0406431i | ||||
\(890\) | −3.92761 | + | 12.0879i | −0.131654 | + | 0.405189i | ||||
\(891\) | 1.67473 | − | 5.15429i | 0.0561056 | − | 0.172675i | ||||
\(892\) | −6.38513 | − | 19.6514i | −0.213790 | − | 0.657978i | ||||
\(893\) | 37.2736 | 1.24731 | ||||||||
\(894\) | −37.3280 | −1.24843 | ||||||||
\(895\) | −8.71703 | − | 26.8283i | −0.291378 | − | 0.896770i | ||||
\(896\) | 24.7396 | − | 17.9744i | 0.826492 | − | 0.600482i | ||||
\(897\) | −27.7636 | − | 20.1714i | −0.927000 | − | 0.673505i | ||||
\(898\) | 36.8840 | 1.23083 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 14.3131 | 0.477105 | ||||||||
\(901\) | 20.3157 | + | 14.7602i | 0.676815 | + | 0.491735i | ||||
\(902\) | −10.0995 | + | 7.33771i | −0.336276 | + | 0.244319i | ||||
\(903\) | −0.290113 | − | 0.892875i | −0.00965434 | − | 0.0297130i | ||||
\(904\) | 33.7908 | 1.12386 | ||||||||
\(905\) | −37.3296 | −1.24088 | ||||||||
\(906\) | 10.0170 | + | 30.8293i | 0.332794 | + | 1.02423i | ||||
\(907\) | 8.33208 | − | 25.6435i | 0.276662 | − | 0.851478i | −0.712113 | − | 0.702065i | \(-0.752262\pi\) |
0.988775 | − | 0.149413i | \(-0.0477384\pi\) | |||||||
\(908\) | −13.4051 | + | 41.2566i | −0.444863 | + | 1.36915i | ||||
\(909\) | −20.5906 | − | 14.9599i | −0.682946 | − | 0.496189i | ||||
\(910\) | −5.41083 | − | 16.6528i | −0.179367 | − | 0.552035i | ||||
\(911\) | 4.10820 | + | 2.98479i | 0.136111 | + | 0.0988903i | 0.653757 | − | 0.756704i | \(-0.273192\pi\) |
−0.517646 | + | 0.855595i | \(0.673192\pi\) | |||||||
\(912\) | 3.85582 | − | 2.80142i | 0.127679 | − | 0.0927642i | ||||
\(913\) | 0.605401 | − | 1.86323i | 0.0200359 | − | 0.0616640i | ||||
\(914\) | 8.50854 | − | 6.18181i | 0.281437 | − | 0.204476i | ||||
\(915\) | 40.2967 | − | 29.2773i | 1.33217 | − | 0.967876i | ||||
\(916\) | −15.6963 | + | 48.3082i | −0.518620 | + | 1.59615i | ||||
\(917\) | 10.3940 | − | 7.55165i | 0.343239 | − | 0.249377i | ||||
\(918\) | −9.67545 | − | 7.02962i | −0.319337 | − | 0.232012i | ||||
\(919\) | −15.2274 | − | 46.8652i | −0.502306 | − | 1.54594i | −0.805253 | − | 0.592932i | \(-0.797970\pi\) |
0.302946 | − | 0.953008i | \(-0.402030\pi\) | |||||||
\(920\) | 43.9819 | + | 31.9547i | 1.45004 | + | 1.05352i | ||||
\(921\) | −24.6195 | + | 75.7709i | −0.811239 | + | 2.49674i | ||||
\(922\) | 12.1157 | − | 37.2882i | 0.399009 | − | 1.22802i | ||||
\(923\) | −1.99496 | − | 6.13986i | −0.0656649 | − | 0.202096i | ||||
\(924\) | −9.93508 | −0.326840 | ||||||||
\(925\) | −10.4719 | −0.344315 | ||||||||
\(926\) | −19.5578 | − | 60.1929i | −0.642711 | − | 1.97806i | ||||
\(927\) | −15.6686 | + | 11.3839i | −0.514626 | + | 0.373898i | ||||
\(928\) | 0.540441 | + | 0.392653i | 0.0177408 | + | 0.0128895i | ||||
\(929\) | 39.9606 | 1.31107 | 0.655533 | − | 0.755167i | \(-0.272444\pi\) | ||||
0.655533 | + | 0.755167i | \(0.272444\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 20.5649 | 0.673989 | ||||||||
\(932\) | −35.1311 | − | 25.5243i | −1.15076 | − | 0.836075i | ||||
\(933\) | 36.4395 | − | 26.4748i | 1.19297 | − | 0.866747i | ||||
\(934\) | −16.3367 | − | 50.2791i | −0.534552 | − | 1.64518i | ||||
\(935\) | 8.02720 | 0.262517 | ||||||||
\(936\) | 20.0840 | 0.656465 | ||||||||
\(937\) | 13.9334 | + | 42.8825i | 0.455183 | + | 1.40091i | 0.870920 | + | 0.491424i | \(0.163524\pi\) |
−0.415737 | + | 0.909485i | \(0.636476\pi\) | |||||||
\(938\) | 5.51313 | − | 16.9677i | 0.180010 | − | 0.554014i | ||||
\(939\) | 17.0261 | − | 52.4009i | 0.555625 | − | 1.71004i | ||||
\(940\) | −54.0067 | − | 39.2382i | −1.76151 | − | 1.27981i | ||||
\(941\) | −15.5103 | − | 47.7357i | −0.505621 | − | 1.55614i | −0.799725 | − | 0.600367i | \(-0.795021\pi\) |
0.294104 | − | 0.955773i | \(-0.404979\pi\) | |||||||
\(942\) | −37.9484 | − | 27.5711i | −1.23643 | − | 0.898316i | ||||
\(943\) | 42.4664 | − | 30.8537i | 1.38290 | − | 1.00473i | ||||
\(944\) | 1.18687 | − | 3.65281i | 0.0386293 | − | 0.118889i | ||||
\(945\) | 3.83202 | − | 2.78412i | 0.124656 | − | 0.0905675i | ||||
\(946\) | −0.315684 | + | 0.229358i | −0.0102638 | + | 0.00745707i | ||||
\(947\) | −9.37123 | + | 28.8417i | −0.304524 | + | 0.937229i | 0.675330 | + | 0.737516i | \(0.264001\pi\) |
−0.979854 | + | 0.199713i | \(0.935999\pi\) | |||||||
\(948\) | 30.9676 | − | 22.4993i | 1.00578 | − | 0.730743i | ||||
\(949\) | 4.12927 | + | 3.00009i | 0.134042 | + | 0.0973869i | ||||
\(950\) | −4.10855 | − | 12.6448i | −0.133299 | − | 0.410252i | ||||
\(951\) | −2.09012 | − | 1.51856i | −0.0677767 | − | 0.0492426i | ||||
\(952\) | 6.62626 | − | 20.3935i | 0.214758 | − | 0.660958i | ||||
\(953\) | 10.9631 | − | 33.7411i | 0.355131 | − | 1.09298i | −0.600803 | − | 0.799397i | \(-0.705152\pi\) |
0.955934 | − | 0.293583i | \(-0.0948477\pi\) | |||||||
\(954\) | −14.1698 | − | 43.6102i | −0.458764 | − | 1.41193i | ||||
\(955\) | −5.64884 | −0.182792 | ||||||||
\(956\) | 77.9379 | 2.52069 | ||||||||
\(957\) | −0.0743291 | − | 0.228761i | −0.00240272 | − | 0.00739481i | ||||
\(958\) | −16.8893 | + | 12.2708i | −0.545668 | + | 0.396451i | ||||
\(959\) | −21.3530 | − | 15.5139i | −0.689524 | − | 0.500969i | ||||
\(960\) | 81.0843 | 2.61698 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | −36.8791 | −1.18903 | ||||||||
\(963\) | −5.11422 | − | 3.71570i | −0.164804 | − | 0.119737i | ||||
\(964\) | 66.4686 | − | 48.2923i | 2.14081 | − | 1.55539i | ||||
\(965\) | −19.8145 | − | 60.9828i | −0.637852 | − | 1.96311i | ||||
\(966\) | 66.9055 | 2.15265 | ||||||||
\(967\) | 35.4443 | 1.13981 | 0.569906 | − | 0.821710i | \(-0.306979\pi\) | ||||
0.569906 | + | 0.821710i | \(0.306979\pi\) | |||||||
\(968\) | −9.88199 | − | 30.4136i | −0.317619 | − | 0.977531i | ||||
\(969\) | −15.9593 | + | 49.1176i | −0.512686 | + | 1.57789i | ||||
\(970\) | −21.8952 | + | 67.3864i | −0.703012 | + | 2.16365i | ||||
\(971\) | 32.4393 | + | 23.5686i | 1.04103 | + | 0.756351i | 0.970486 | − | 0.241158i | \(-0.0775271\pi\) |
0.0705422 | + | 0.997509i | \(0.477527\pi\) | |||||||
\(972\) | −22.9452 | − | 70.6181i | −0.735968 | − | 2.26508i | ||||
\(973\) | 9.51202 | + | 6.91088i | 0.304941 | + | 0.221553i | ||||
\(974\) | −44.0995 | + | 32.0401i | −1.41304 | + | 1.02663i | ||||
\(975\) | 1.85072 | − | 5.69593i | 0.0592705 | − | 0.182416i | ||||
\(976\) | −2.56345 | + | 1.86246i | −0.0820540 | + | 0.0596157i | ||||
\(977\) | 31.2854 | − | 22.7302i | 1.00091 | − | 0.727202i | 0.0386252 | − | 0.999254i | \(-0.487702\pi\) |
0.962283 | + | 0.272052i | \(0.0877022\pi\) | |||||||
\(978\) | −30.9417 | + | 95.2289i | −0.989408 | + | 3.04508i | ||||
\(979\) | 1.30851 | − | 0.950690i | 0.0418202 | − | 0.0303842i | ||||
\(980\) | −29.7971 | − | 21.6489i | −0.951834 | − | 0.691548i | ||||
\(981\) | 12.5992 | + | 38.7764i | 0.402262 | + | 1.23804i | ||||
\(982\) | 17.2251 | + | 12.5147i | 0.549674 | + | 0.399362i | ||||
\(983\) | 6.66846 | − | 20.5234i | 0.212691 | − | 0.654595i | −0.786619 | − | 0.617439i | \(-0.788170\pi\) |
0.999309 | − | 0.0371560i | \(-0.0118299\pi\) | |||||||
\(984\) | −17.7109 | + | 54.5086i | −0.564604 | + | 1.73767i | ||||
\(985\) | −4.78350 | − | 14.7221i | −0.152415 | − | 0.469085i | ||||
\(986\) | 1.30296 | 0.0414946 | ||||||||
\(987\) | −32.7338 | −1.04193 | ||||||||
\(988\) | −9.03438 | − | 27.8049i | −0.287422 | − | 0.884593i | ||||
\(989\) | 1.32739 | − | 0.964407i | 0.0422086 | − | 0.0306663i | ||||
\(990\) | −11.8585 | − | 8.61568i | −0.376887 | − | 0.273824i | ||||
\(991\) | −46.8764 | −1.48908 | −0.744538 | − | 0.667580i | \(-0.767330\pi\) | ||||
−0.744538 | + | 0.667580i | \(0.767330\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −67.8639 | −2.15360 | ||||||||
\(994\) | 10.1825 | + | 7.39800i | 0.322968 | + | 0.234650i | ||||
\(995\) | 9.23597 | − | 6.71033i | 0.292800 | − | 0.212732i | ||||
\(996\) | −6.97589 | − | 21.4696i | −0.221039 | − | 0.680290i | ||||
\(997\) | 44.5389 | 1.41056 | 0.705281 | − | 0.708928i | \(-0.250821\pi\) | ||||
0.705281 | + | 0.708928i | \(0.250821\pi\) | |||||||
\(998\) | −65.5659 | −2.07545 | ||||||||
\(999\) | −3.08284 | − | 9.48801i | −0.0975367 | − | 0.300187i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))