Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(99,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bi (of order \(8\), degree \(4\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 99.9 | ||
Character | \(\chi\) | \(=\) | 416.99 |
Dual form | 416.2.bi.a.395.9 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26157 | + | 0.639092i | −0.892065 | + | 0.451906i | ||||
\(3\) | 0.429027 | − | 1.03576i | 0.247699 | − | 0.597997i | −0.750309 | − | 0.661087i | \(-0.770095\pi\) |
0.998008 | + | 0.0630897i | \(0.0200954\pi\) | |||||||
\(4\) | 1.18312 | − | 1.61252i | 0.591562 | − | 0.806260i | ||||
\(5\) | 1.40552 | − | 3.39324i | 0.628570 | − | 1.51750i | −0.212830 | − | 0.977089i | \(-0.568268\pi\) |
0.841400 | − | 0.540412i | \(-0.181732\pi\) | |||||||
\(6\) | 0.120699 | + | 1.58087i | 0.0492753 | + | 0.645389i | ||||
\(7\) | 2.38266 | 0.900561 | 0.450281 | − | 0.892887i | \(-0.351324\pi\) | ||||
0.450281 | + | 0.892887i | \(0.351324\pi\) | |||||||
\(8\) | −0.462046 | + | 2.79043i | −0.163358 | + | 0.986567i | ||||
\(9\) | 1.23258 | + | 1.23258i | 0.410861 | + | 0.410861i | ||||
\(10\) | 0.395421 | + | 5.17907i | 0.125043 | + | 1.63777i | ||||
\(11\) | 3.44283 | + | 1.42607i | 1.03805 | + | 0.429976i | 0.835613 | − | 0.549319i | \(-0.185113\pi\) |
0.202440 | + | 0.979295i | \(0.435113\pi\) | |||||||
\(12\) | −1.16260 | − | 1.91725i | −0.335612 | − | 0.553462i | ||||
\(13\) | −3.20025 | + | 1.66085i | −0.887588 | + | 0.460637i | ||||
\(14\) | −3.00590 | + | 1.52274i | −0.803360 | + | 0.406969i | ||||
\(15\) | −2.91158 | − | 2.91158i | −0.751766 | − | 0.751766i | ||||
\(16\) | −1.20044 | − | 3.81562i | −0.300110 | − | 0.953905i | ||||
\(17\) | 3.06980 | 0.744536 | 0.372268 | − | 0.928125i | \(-0.378580\pi\) | ||||
0.372268 | + | 0.928125i | \(0.378580\pi\) | |||||||
\(18\) | −2.34272 | − | 0.767256i | −0.552185 | − | 0.180844i | ||||
\(19\) | −1.55780 | − | 3.76086i | −0.357384 | − | 0.862801i | −0.995666 | − | 0.0929985i | \(-0.970355\pi\) |
0.638283 | − | 0.769802i | \(-0.279645\pi\) | |||||||
\(20\) | −3.80875 | − | 6.28105i | −0.851663 | − | 1.40449i | ||||
\(21\) | 1.02223 | − | 2.46787i | 0.223068 | − | 0.538533i | ||||
\(22\) | −5.25477 | + | 0.401200i | −1.12032 | + | 0.0855362i | ||||
\(23\) | 3.15599 | + | 3.15599i | 0.658069 | + | 0.658069i | 0.954923 | − | 0.296854i | \(-0.0959375\pi\) |
−0.296854 | + | 0.954923i | \(0.595938\pi\) | |||||||
\(24\) | 2.69199 | + | 1.67574i | 0.549501 | + | 0.342059i | ||||
\(25\) | −6.00302 | − | 6.00302i | −1.20060 | − | 1.20060i | ||||
\(26\) | 2.97590 | − | 4.14053i | 0.583622 | − | 0.812025i | ||||
\(27\) | 4.91276 | − | 2.03493i | 0.945460 | − | 0.391623i | ||||
\(28\) | 2.81898 | − | 3.84209i | 0.532737 | − | 0.726086i | ||||
\(29\) | −8.62991 | − | 3.57463i | −1.60253 | − | 0.663792i | −0.610763 | − | 0.791813i | \(-0.709137\pi\) |
−0.991771 | + | 0.128022i | \(0.959137\pi\) | |||||||
\(30\) | 5.53393 | + | 1.81240i | 1.01035 | + | 0.330897i | ||||
\(31\) | −4.07986 | + | 4.07986i | −0.732765 | + | 0.732765i | −0.971167 | − | 0.238402i | \(-0.923377\pi\) |
0.238402 | + | 0.971167i | \(0.423377\pi\) | |||||||
\(32\) | 3.95297 | + | 4.04648i | 0.698793 | + | 0.715324i | ||||
\(33\) | 2.95413 | − | 2.95413i | 0.514248 | − | 0.514248i | ||||
\(34\) | −3.87277 | + | 1.96189i | −0.664175 | + | 0.336461i | ||||
\(35\) | 3.34889 | − | 8.08493i | 0.566066 | − | 1.36660i | ||||
\(36\) | 3.44586 | − | 0.529266i | 0.574310 | − | 0.0882111i | ||||
\(37\) | 1.87551 | + | 0.776862i | 0.308332 | + | 0.127715i | 0.531484 | − | 0.847068i | \(-0.321635\pi\) |
−0.223152 | + | 0.974784i | \(0.571635\pi\) | |||||||
\(38\) | 4.36881 | + | 3.74902i | 0.708715 | + | 0.608171i | ||||
\(39\) | 0.347256 | + | 4.02724i | 0.0556055 | + | 0.644875i | ||||
\(40\) | 8.81918 | + | 5.48985i | 1.39444 | + | 0.868022i | ||||
\(41\) | 10.2537i | 1.60136i | 0.599095 | + | 0.800678i | \(0.295527\pi\) | ||||
−0.599095 | + | 0.800678i | \(0.704473\pi\) | |||||||
\(42\) | 0.287586 | + | 3.76669i | 0.0443755 | + | 0.581213i | ||||
\(43\) | −6.91918 | + | 2.86602i | −1.05516 | + | 0.437064i | −0.841733 | − | 0.539894i | \(-0.818464\pi\) |
−0.213432 | + | 0.976958i | \(0.568464\pi\) | |||||||
\(44\) | 6.37286 | − | 3.86442i | 0.960744 | − | 0.582583i | ||||
\(45\) | 5.91487 | − | 2.45002i | 0.881736 | − | 0.365227i | ||||
\(46\) | −5.99847 | − | 1.96454i | −0.884426 | − | 0.289655i | ||||
\(47\) | 7.60062 | − | 7.60062i | 1.10867 | − | 1.10867i | 0.115339 | − | 0.993326i | \(-0.463205\pi\) |
0.993326 | − | 0.115339i | \(-0.0367954\pi\) | |||||||
\(48\) | −4.46709 | − | 0.393632i | −0.644769 | − | 0.0568159i | ||||
\(49\) | −1.32292 | −0.188989 | ||||||||
\(50\) | 11.4097 | + | 3.73676i | 1.61358 | + | 0.528457i | ||||
\(51\) | 1.31703 | − | 3.17958i | 0.184421 | − | 0.445231i | ||||
\(52\) | −1.10813 | + | 7.12545i | −0.153670 | + | 0.988122i | ||||
\(53\) | −7.12120 | + | 2.94970i | −0.978173 | + | 0.405172i | −0.813748 | − | 0.581217i | \(-0.802577\pi\) |
−0.164424 | + | 0.986390i | \(0.552577\pi\) | |||||||
\(54\) | −4.89728 | + | 5.70691i | −0.666436 | + | 0.776612i | ||||
\(55\) | 9.67797 | − | 9.67797i | 1.30498 | − | 1.30498i | ||||
\(56\) | −1.10090 | + | 6.64866i | −0.147114 | + | 0.888464i | ||||
\(57\) | −4.56369 | −0.604476 | ||||||||
\(58\) | 13.1718 | − | 1.00566i | 1.72954 | − | 0.132050i | ||||
\(59\) | 3.51986 | − | 8.49769i | 0.458247 | − | 1.10631i | −0.510860 | − | 0.859664i | \(-0.670673\pi\) |
0.969107 | − | 0.246641i | \(-0.0793269\pi\) | |||||||
\(60\) | −8.13973 | + | 1.25022i | −1.05083 | + | 0.161403i | ||||
\(61\) | −10.2361 | − | 4.23994i | −1.31060 | − | 0.542868i | −0.385541 | − | 0.922691i | \(-0.625985\pi\) |
−0.925059 | + | 0.379823i | \(0.875985\pi\) | |||||||
\(62\) | 2.53963 | − | 7.75445i | 0.322533 | − | 0.984816i | ||||
\(63\) | 2.93682 | + | 2.93682i | 0.370005 | + | 0.370005i | ||||
\(64\) | −7.57303 | − | 2.57861i | −0.946628 | − | 0.322327i | ||||
\(65\) | 1.13764 | + | 13.1936i | 0.141107 | + | 1.63646i | ||||
\(66\) | −1.83889 | + | 5.61481i | −0.226351 | + | 0.691135i | ||||
\(67\) | 4.84130 | − | 2.00533i | 0.591458 | − | 0.244990i | −0.0668195 | − | 0.997765i | \(-0.521285\pi\) |
0.658278 | + | 0.752775i | \(0.271285\pi\) | |||||||
\(68\) | 3.63195 | − | 4.95012i | 0.440439 | − | 0.600290i | ||||
\(69\) | 4.62285 | − | 1.91485i | 0.556526 | − | 0.230521i | ||||
\(70\) | 0.942154 | + | 12.3400i | 0.112609 | + | 1.47491i | ||||
\(71\) | − | 4.48341i | − | 0.532083i | −0.963962 | − | 0.266041i | \(-0.914284\pi\) | ||
0.963962 | − | 0.266041i | \(-0.0857158\pi\) | |||||||
\(72\) | −4.00895 | + | 2.86993i | −0.472459 | + | 0.338224i | ||||
\(73\) | 0.732692 | 0.0857551 | 0.0428775 | − | 0.999080i | \(-0.486347\pi\) | ||||
0.0428775 | + | 0.999080i | \(0.486347\pi\) | |||||||
\(74\) | −2.86258 | + | 0.218557i | −0.332768 | + | 0.0254067i | ||||
\(75\) | −8.79316 | + | 3.64225i | −1.01535 | + | 0.420570i | ||||
\(76\) | −7.90753 | − | 1.93758i | −0.907056 | − | 0.222256i | ||||
\(77\) | 8.20310 | + | 3.39784i | 0.934830 | + | 0.387219i | ||||
\(78\) | −3.01187 | − | 4.85872i | −0.341027 | − | 0.550142i | ||||
\(79\) | −4.32011 | −0.486051 | −0.243025 | − | 0.970020i | \(-0.578140\pi\) | ||||
−0.243025 | + | 0.970020i | \(0.578140\pi\) | |||||||
\(80\) | −14.6345 | − | 1.28957i | −1.63619 | − | 0.144178i | ||||
\(81\) | − | 0.732083i | − | 0.0813426i | ||||||
\(82\) | −6.55304 | − | 12.9357i | −0.723663 | − | 1.42851i | ||||
\(83\) | 4.10599 | + | 9.91274i | 0.450691 | + | 1.08806i | 0.972060 | + | 0.234733i | \(0.0754216\pi\) |
−0.521369 | + | 0.853331i | \(0.674578\pi\) | |||||||
\(84\) | −2.77007 | − | 4.56815i | −0.302239 | − | 0.498426i | ||||
\(85\) | 4.31468 | − | 10.4166i | 0.467993 | − | 1.12983i | ||||
\(86\) | 6.89739 | − | 8.03768i | 0.743764 | − | 0.866725i | ||||
\(87\) | −7.40492 | + | 7.40492i | −0.793891 | + | 0.793891i | ||||
\(88\) | −5.57009 | + | 8.94808i | −0.593774 | + | 0.953869i | ||||
\(89\) | 16.8830i | 1.78959i | 0.446476 | + | 0.894796i | \(0.352679\pi\) | ||||
−0.446476 | + | 0.894796i | \(0.647321\pi\) | |||||||
\(90\) | −5.89624 | + | 6.87101i | −0.621518 | + | 0.724268i | ||||
\(91\) | −7.62510 | + | 3.95725i | −0.799328 | + | 0.414832i | ||||
\(92\) | 8.82301 | − | 1.35517i | 0.919862 | − | 0.141286i | ||||
\(93\) | 2.47540 | + | 5.97614i | 0.256687 | + | 0.619696i | ||||
\(94\) | −4.73123 | + | 14.4462i | −0.487989 | + | 1.49001i | ||||
\(95\) | −14.9510 | −1.53394 | ||||||||
\(96\) | 5.88712 | − | 2.35829i | 0.600852 | − | 0.240692i | ||||
\(97\) | −9.98019 | − | 9.98019i | −1.01334 | − | 1.01334i | −0.999910 | − | 0.0134254i | \(-0.995726\pi\) |
−0.0134254 | − | 0.999910i | \(-0.504274\pi\) | |||||||
\(98\) | 1.66896 | − | 0.845471i | 0.168591 | − | 0.0854054i | ||||
\(99\) | 2.48583 | + | 6.00132i | 0.249835 | + | 0.603155i | ||||
\(100\) | −16.7823 | + | 2.57768i | −1.67823 | + | 0.257768i | ||||
\(101\) | −4.61214 | + | 1.91041i | −0.458925 | + | 0.190093i | −0.600155 | − | 0.799884i | \(-0.704894\pi\) |
0.141230 | + | 0.989977i | \(0.454894\pi\) | |||||||
\(102\) | 0.370523 | + | 4.85297i | 0.0366873 | + | 0.480516i | ||||
\(103\) | −1.52183 | + | 1.52183i | −0.149951 | + | 0.149951i | −0.778096 | − | 0.628145i | \(-0.783814\pi\) |
0.628145 | + | 0.778096i | \(0.283814\pi\) | |||||||
\(104\) | −3.15583 | − | 9.69746i | −0.309455 | − | 0.950914i | ||||
\(105\) | −6.93730 | − | 6.93730i | −0.677011 | − | 0.677011i | ||||
\(106\) | 7.09878 | − | 8.27236i | 0.689494 | − | 0.803482i | ||||
\(107\) | 3.63523 | + | 8.77622i | 0.351431 | + | 0.848430i | 0.996444 | + | 0.0842580i | \(0.0268520\pi\) |
−0.645013 | + | 0.764172i | \(0.723148\pi\) | |||||||
\(108\) | 2.53103 | − | 10.3295i | 0.243549 | − | 0.993956i | ||||
\(109\) | 2.72505 | − | 1.12875i | 0.261013 | − | 0.108115i | −0.248340 | − | 0.968673i | \(-0.579885\pi\) |
0.509353 | + | 0.860558i | \(0.329885\pi\) | |||||||
\(110\) | −6.02433 | + | 18.3946i | −0.574398 | + | 1.75385i | ||||
\(111\) | 1.60929 | − | 1.60929i | 0.152747 | − | 0.152747i | ||||
\(112\) | −2.86024 | − | 9.09133i | −0.270267 | − | 0.859050i | ||||
\(113\) | − | 0.135648i | − | 0.0127607i | −0.999980 | − | 0.00638036i | \(-0.997969\pi\) | ||
0.999980 | − | 0.00638036i | \(-0.00203094\pi\) | |||||||
\(114\) | 5.75742 | − | 2.91662i | 0.539232 | − | 0.273166i | ||||
\(115\) | 15.1448 | − | 6.27319i | 1.41226 | − | 0.584978i | ||||
\(116\) | −15.9744 | + | 9.68668i | −1.48319 | + | 0.899386i | ||||
\(117\) | −5.99170 | − | 1.89743i | −0.553933 | − | 0.175417i | ||||
\(118\) | 0.990253 | + | 12.9700i | 0.0911602 | + | 1.19398i | ||||
\(119\) | 7.31430 | 0.670501 | ||||||||
\(120\) | 9.46984 | − | 6.77928i | 0.864474 | − | 0.618861i | ||||
\(121\) | 2.04125 | + | 2.04125i | 0.185568 | + | 0.185568i | ||||
\(122\) | 15.6233 | − | 1.19284i | 1.41447 | − | 0.107994i | ||||
\(123\) | 10.6204 | + | 4.39910i | 0.957607 | + | 0.396654i | ||||
\(124\) | 1.75188 | + | 11.4058i | 0.157323 | + | 1.02427i | ||||
\(125\) | −11.8409 | + | 4.90466i | −1.05908 | + | 0.438686i | ||||
\(126\) | −5.58191 | − | 1.82811i | −0.497276 | − | 0.162861i | ||||
\(127\) | −5.94058 | −0.527141 | −0.263570 | − | 0.964640i | \(-0.584900\pi\) | ||||
−0.263570 | + | 0.964640i | \(0.584900\pi\) | |||||||
\(128\) | 11.2019 | − | 1.58676i | 0.990116 | − | 0.140251i | ||||
\(129\) | 8.39622i | 0.739246i | ||||||||
\(130\) | −9.86711 | − | 15.9176i | −0.865403 | − | 1.39606i | ||||
\(131\) | 1.35902 | − | 3.28097i | 0.118738 | − | 0.286660i | −0.853325 | − | 0.521380i | \(-0.825417\pi\) |
0.972063 | + | 0.234720i | \(0.0754174\pi\) | |||||||
\(132\) | −1.26849 | − | 8.25870i | −0.110408 | − | 0.718828i | ||||
\(133\) | −3.71171 | − | 8.96086i | −0.321846 | − | 0.777005i | ||||
\(134\) | −4.82605 | + | 5.62390i | −0.416907 | + | 0.485831i | ||||
\(135\) | − | 19.5303i | − | 1.68090i | ||||||
\(136\) | −1.41839 | + | 8.56607i | −0.121626 | + | 0.734535i | ||||
\(137\) | −0.297336 | −0.0254031 | −0.0127015 | − | 0.999919i | \(-0.504043\pi\) | ||||
−0.0127015 | + | 0.999919i | \(0.504043\pi\) | |||||||
\(138\) | −4.60829 | + | 5.37014i | −0.392284 | + | 0.457137i | ||||
\(139\) | 8.09496 | + | 19.5430i | 0.686606 | + | 1.65761i | 0.751510 | + | 0.659721i | \(0.229326\pi\) |
−0.0649046 | + | 0.997891i | \(0.520674\pi\) | |||||||
\(140\) | −9.07497 | − | 14.9656i | −0.766975 | − | 1.26483i | ||||
\(141\) | −4.61157 | − | 11.1333i | −0.388364 | − | 0.937593i | ||||
\(142\) | 2.86531 | + | 5.65614i | 0.240452 | + | 0.474653i | ||||
\(143\) | −13.3864 | + | 1.15427i | −1.11943 | + | 0.0965245i | ||||
\(144\) | 3.22342 | − | 6.18270i | 0.268618 | − | 0.515225i | ||||
\(145\) | −24.2591 | + | 24.2591i | −2.01461 | + | 2.01461i | ||||
\(146\) | −0.924343 | + | 0.468257i | −0.0764992 | + | 0.0387533i | ||||
\(147\) | −0.567570 | + | 1.37023i | −0.0468124 | + | 0.113015i | ||||
\(148\) | 3.47166 | − | 2.10517i | 0.285369 | − | 0.173044i | ||||
\(149\) | −5.48433 | − | 2.27168i | −0.449294 | − | 0.186104i | 0.146551 | − | 0.989203i | \(-0.453183\pi\) |
−0.595845 | + | 0.803099i | \(0.703183\pi\) | |||||||
\(150\) | 8.76546 | − | 10.2146i | 0.715697 | − | 0.834017i | ||||
\(151\) | − | 7.42045i | − | 0.603867i | −0.953329 | − | 0.301934i | \(-0.902368\pi\) | ||
0.953329 | − | 0.301934i | \(-0.0976321\pi\) | |||||||
\(152\) | 11.2142 | − | 2.60925i | 0.909592 | − | 0.211638i | ||||
\(153\) | 3.78378 | + | 3.78378i | 0.305901 | + | 0.305901i | ||||
\(154\) | −12.5203 | + | 0.955924i | −1.00892 | + | 0.0770306i | ||||
\(155\) | 8.10959 | + | 19.5783i | 0.651378 | + | 1.57257i | ||||
\(156\) | 6.90485 | + | 4.20477i | 0.552831 | + | 0.336651i | ||||
\(157\) | 19.2059 | + | 7.95533i | 1.53280 | + | 0.634905i | 0.980105 | − | 0.198482i | \(-0.0636010\pi\) |
0.552691 | + | 0.833386i | \(0.313601\pi\) | |||||||
\(158\) | 5.45013 | − | 2.76095i | 0.433589 | − | 0.219649i | ||||
\(159\) | 8.64137i | 0.685305i | ||||||||
\(160\) | 19.2867 | − | 7.72593i | 1.52475 | − | 0.610789i | ||||
\(161\) | 7.51965 | + | 7.51965i | 0.592631 | + | 0.592631i | ||||
\(162\) | 0.467868 | + | 0.923575i | 0.0367592 | + | 0.0725629i | ||||
\(163\) | 4.33573 | + | 10.4674i | 0.339601 | + | 0.819869i | 0.997754 | + | 0.0669847i | \(0.0213379\pi\) |
−0.658153 | + | 0.752884i | \(0.728662\pi\) | |||||||
\(164\) | 16.5343 | + | 12.1314i | 1.29111 | + | 0.947301i | ||||
\(165\) | −5.87197 | − | 14.1762i | −0.457132 | − | 1.10361i | ||||
\(166\) | −11.5151 | − | 9.88152i | −0.893749 | − | 0.766955i | ||||
\(167\) | 15.6599 | 1.21180 | 0.605901 | − | 0.795540i | \(-0.292813\pi\) | ||||
0.605901 | + | 0.795540i | \(0.292813\pi\) | |||||||
\(168\) | 6.41411 | + | 3.99272i | 0.494859 | + | 0.308045i | ||||
\(169\) | 7.48315 | − | 10.6303i | 0.575627 | − | 0.817713i | ||||
\(170\) | 1.21386 | + | 15.8987i | 0.0930991 | + | 1.21938i | ||||
\(171\) | 2.71545 | − | 6.55568i | 0.207656 | − | 0.501326i | ||||
\(172\) | −3.56473 | + | 14.5482i | −0.271808 | + | 1.10929i | ||||
\(173\) | −5.59630 | − | 2.31806i | −0.425478 | − | 0.176239i | 0.159661 | − | 0.987172i | \(-0.448960\pi\) |
−0.585139 | + | 0.810933i | \(0.698960\pi\) | |||||||
\(174\) | 4.60941 | − | 14.0743i | 0.349439 | − | 1.06697i | ||||
\(175\) | −14.3032 | − | 14.3032i | −1.08122 | − | 1.08122i | ||||
\(176\) | 1.30842 | − | 14.8484i | 0.0986258 | − | 1.11924i | ||||
\(177\) | −7.29147 | − | 7.29147i | −0.548060 | − | 0.548060i | ||||
\(178\) | −10.7898 | − | 21.2991i | −0.808727 | − | 1.59643i | ||||
\(179\) | −0.149710 | + | 0.361432i | −0.0111899 | + | 0.0270147i | −0.929376 | − | 0.369135i | \(-0.879654\pi\) |
0.918186 | + | 0.396150i | \(0.129654\pi\) | |||||||
\(180\) | 3.04731 | − | 12.4365i | 0.227133 | − | 0.926963i | ||||
\(181\) | −0.779592 | − | 1.88210i | −0.0579466 | − | 0.139895i | 0.892255 | − | 0.451533i | \(-0.149123\pi\) |
−0.950201 | + | 0.311637i | \(0.899123\pi\) | |||||||
\(182\) | 7.09056 | − | 9.86549i | 0.525588 | − | 0.731279i | ||||
\(183\) | −8.78313 | + | 8.78313i | −0.649268 | + | 0.649268i | ||||
\(184\) | −10.2648 | + | 7.34836i | −0.756729 | + | 0.541728i | ||||
\(185\) | 5.27215 | − | 5.27215i | 0.387616 | − | 0.387616i | ||||
\(186\) | −6.94219 | − | 5.95731i | −0.509026 | − | 0.436811i | ||||
\(187\) | 10.5688 | + | 4.37774i | 0.772868 | + | 0.320132i | ||||
\(188\) | −3.26368 | − | 21.2486i | −0.238029 | − | 1.54972i | ||||
\(189\) | 11.7054 | − | 4.84855i | 0.851445 | − | 0.352680i | ||||
\(190\) | 18.8618 | − | 9.55507i | 1.36838 | − | 0.693198i | ||||
\(191\) | − | 9.49922i | − | 0.687340i | −0.939091 | − | 0.343670i | \(-0.888330\pi\) | ||
0.939091 | − | 0.343670i | \(-0.111670\pi\) | |||||||
\(192\) | −5.91986 | + | 6.73756i | −0.427229 | + | 0.486241i | ||||
\(193\) | −4.60773 | + | 4.60773i | −0.331672 | + | 0.331672i | −0.853221 | − | 0.521549i | \(-0.825354\pi\) |
0.521549 | + | 0.853221i | \(0.325354\pi\) | |||||||
\(194\) | 18.9690 | + | 6.21246i | 1.36189 | + | 0.446029i | ||||
\(195\) | 14.1535 | + | 4.48207i | 1.01355 | + | 0.320967i | ||||
\(196\) | −1.56518 | + | 2.13324i | −0.111799 | + | 0.152374i | ||||
\(197\) | 2.53556 | − | 6.12138i | 0.180651 | − | 0.436130i | −0.807450 | − | 0.589936i | \(-0.799153\pi\) |
0.988101 | + | 0.153806i | \(0.0491529\pi\) | |||||||
\(198\) | −6.97144 | − | 5.98242i | −0.495439 | − | 0.425152i | ||||
\(199\) | −11.9626 | + | 11.9626i | −0.848010 | + | 0.848010i | −0.989885 | − | 0.141875i | \(-0.954687\pi\) |
0.141875 | + | 0.989885i | \(0.454687\pi\) | |||||||
\(200\) | 19.5247 | − | 13.9774i | 1.38060 | − | 0.988349i | ||||
\(201\) | − | 5.87477i | − | 0.414374i | ||||||
\(202\) | 4.59761 | − | 5.35770i | 0.323487 | − | 0.376966i | ||||
\(203\) | −20.5622 | − | 8.51713i | −1.44318 | − | 0.597785i | ||||
\(204\) | −3.56894 | − | 5.88557i | −0.249875 | − | 0.412072i | ||||
\(205\) | 34.7932 | + | 14.4118i | 2.43006 | + | 1.00656i | ||||
\(206\) | 0.947309 | − | 2.89249i | 0.0660021 | − | 0.201529i | ||||
\(207\) | 7.78002i | 0.540749i | ||||||||
\(208\) | 10.1789 | + | 10.2172i | 0.705778 | + | 0.708433i | ||||
\(209\) | − | 15.1695i | − | 1.04930i | ||||||
\(210\) | 13.1855 | + | 4.31833i | 0.909884 | + | 0.297993i | ||||
\(211\) | −9.27264 | − | 3.84085i | −0.638355 | − | 0.264415i | 0.0399434 | − | 0.999202i | \(-0.487282\pi\) |
−0.678298 | + | 0.734787i | \(0.737282\pi\) | |||||||
\(212\) | −3.66881 | + | 14.9729i | −0.251975 | + | 1.02835i | ||||
\(213\) | −4.64374 | − | 1.92350i | −0.318184 | − | 0.131796i | ||||
\(214\) | −10.1949 | − | 8.74858i | −0.696910 | − | 0.598041i | ||||
\(215\) | 27.5067i | 1.87594i | ||||||||
\(216\) | 3.40842 | + | 14.6489i | 0.231914 | + | 0.996735i | ||||
\(217\) | −9.72093 | + | 9.72093i | −0.659900 | + | 0.659900i | ||||
\(218\) | −2.71647 | + | 3.16556i | −0.183983 | + | 0.214399i | ||||
\(219\) | 0.314344 | − | 0.758894i | 0.0212414 | − | 0.0512813i | ||||
\(220\) | −4.15569 | − | 27.0561i | −0.280176 | − | 1.82413i | ||||
\(221\) | −9.82412 | + | 5.09848i | −0.660842 | + | 0.342961i | ||||
\(222\) | −1.00175 | + | 3.05871i | −0.0672329 | + | 0.205287i | ||||
\(223\) | −2.60548 | + | 2.60548i | −0.174476 | + | 0.174476i | −0.788943 | − | 0.614467i | \(-0.789371\pi\) |
0.614467 | + | 0.788943i | \(0.289371\pi\) | |||||||
\(224\) | 9.41859 | + | 9.64140i | 0.629306 | + | 0.644193i | ||||
\(225\) | − | 14.7984i | − | 0.986562i | ||||||
\(226\) | 0.0866917 | + | 0.171130i | 0.00576665 | + | 0.0113834i | ||||
\(227\) | 8.57100 | − | 3.55023i | 0.568877 | − | 0.235637i | −0.0796567 | − | 0.996822i | \(-0.525382\pi\) |
0.648534 | + | 0.761186i | \(0.275382\pi\) | |||||||
\(228\) | −5.39941 | + | 7.35905i | −0.357585 | + | 0.487365i | ||||
\(229\) | 18.7946 | + | 7.78497i | 1.24198 | + | 0.514446i | 0.904333 | − | 0.426827i | \(-0.140369\pi\) |
0.337648 | + | 0.941272i | \(0.390369\pi\) | |||||||
\(230\) | −15.0971 | + | 17.5930i | −0.995475 | + | 1.16005i | ||||
\(231\) | 7.03870 | − | 7.03870i | 0.463112 | − | 0.463112i | ||||
\(232\) | 13.9622 | − | 22.4296i | 0.916661 | − | 1.47257i | ||||
\(233\) | 8.17229 | − | 8.17229i | 0.535385 | − | 0.535385i | −0.386785 | − | 0.922170i | \(-0.626415\pi\) |
0.922170 | + | 0.386785i | \(0.126415\pi\) | |||||||
\(234\) | 8.77159 | − | 1.43550i | 0.573417 | − | 0.0938419i | ||||
\(235\) | −15.1079 | − | 36.4736i | −0.985528 | − | 2.37927i | ||||
\(236\) | −9.53827 | − | 15.7297i | −0.620888 | − | 1.02391i | ||||
\(237\) | −1.85344 | + | 4.47461i | −0.120394 | + | 0.290657i | ||||
\(238\) | −9.22751 | + | 4.67451i | −0.598130 | + | 0.303003i | ||||
\(239\) | 6.42932 | + | 6.42932i | 0.415878 | + | 0.415878i | 0.883780 | − | 0.467902i | \(-0.154990\pi\) |
−0.467902 | + | 0.883780i | \(0.654990\pi\) | |||||||
\(240\) | −7.61430 | + | 14.6046i | −0.491501 | + | 0.942726i | ||||
\(241\) | 1.14163 | + | 1.14163i | 0.0735388 | + | 0.0735388i | 0.742920 | − | 0.669381i | \(-0.233440\pi\) |
−0.669381 | + | 0.742920i | \(0.733440\pi\) | |||||||
\(242\) | −3.87972 | − | 1.27063i | −0.249398 | − | 0.0816795i | ||||
\(243\) | 13.9800 | + | 5.79071i | 0.896818 | + | 0.371474i | ||||
\(244\) | −18.9476 | + | 11.4896i | −1.21299 | + | 0.735544i | ||||
\(245\) | −1.85940 | + | 4.48900i | −0.118793 | + | 0.286792i | ||||
\(246\) | −16.2098 | + | 1.23761i | −1.03350 | + | 0.0789074i | ||||
\(247\) | 11.2316 | + | 9.44841i | 0.714648 | + | 0.601188i | ||||
\(248\) | −9.49950 | − | 13.2697i | −0.603219 | − | 0.842625i | ||||
\(249\) | 12.0288 | 0.762295 | ||||||||
\(250\) | 11.8036 | − | 13.7550i | 0.746525 | − | 0.869942i | ||||
\(251\) | −7.92286 | − | 19.1275i | −0.500086 | − | 1.20732i | −0.949436 | − | 0.313959i | \(-0.898344\pi\) |
0.449350 | − | 0.893356i | \(-0.351656\pi\) | |||||||
\(252\) | 8.21031 | − | 1.26106i | 0.517201 | − | 0.0794395i | ||||
\(253\) | 6.36488 | + | 15.3662i | 0.400157 | + | 0.966063i | ||||
\(254\) | 7.49446 | − | 3.79657i | 0.470244 | − | 0.238218i | ||||
\(255\) | −8.93796 | − | 8.93796i | −0.559717 | − | 0.559717i | ||||
\(256\) | −13.1179 | + | 9.16084i | −0.819868 | + | 0.572552i | ||||
\(257\) | 8.42337i | 0.525435i | 0.964873 | + | 0.262718i | \(0.0846187\pi\) | ||||
−0.964873 | + | 0.262718i | \(0.915381\pi\) | |||||||
\(258\) | −5.36595 | − | 10.5924i | −0.334070 | − | 0.659456i | ||||
\(259\) | 4.46871 | + | 1.85100i | 0.277672 | + | 0.115015i | ||||
\(260\) | 22.6208 | + | 13.7751i | 1.40288 | + | 0.854298i | ||||
\(261\) | −6.23105 | − | 15.0431i | −0.385693 | − | 0.931144i | ||||
\(262\) | 0.382339 | + | 5.00772i | 0.0236210 | + | 0.309378i | ||||
\(263\) | 10.8146 | + | 10.8146i | 0.666854 | + | 0.666854i | 0.956987 | − | 0.290132i | \(-0.0936993\pi\) |
−0.290132 | + | 0.956987i | \(0.593699\pi\) | |||||||
\(264\) | 6.87836 | + | 9.60825i | 0.423334 | + | 0.591347i | ||||
\(265\) | 28.3098i | 1.73906i | ||||||||
\(266\) | 10.4094 | + | 8.93264i | 0.638241 | + | 0.547695i | ||||
\(267\) | 17.4867 | + | 7.24324i | 1.07017 | + | 0.443279i | ||||
\(268\) | 2.49421 | − | 10.1792i | 0.152358 | − | 0.621796i | ||||
\(269\) | 5.87141 | − | 14.1748i | 0.357986 | − | 0.864256i | −0.637597 | − | 0.770370i | \(-0.720071\pi\) |
0.995583 | − | 0.0938854i | \(-0.0299287\pi\) | |||||||
\(270\) | 12.4817 | + | 24.6389i | 0.759609 | + | 1.49947i | ||||
\(271\) | −1.20901 | + | 1.20901i | −0.0734423 | + | 0.0734423i | −0.742874 | − | 0.669432i | \(-0.766538\pi\) |
0.669432 | + | 0.742874i | \(0.266538\pi\) | |||||||
\(272\) | −3.68511 | − | 11.7132i | −0.223443 | − | 0.710217i | ||||
\(273\) | 0.827393 | + | 9.59555i | 0.0500761 | + | 0.580749i | ||||
\(274\) | 0.375110 | − | 0.190025i | 0.0226612 | − | 0.0114798i | ||||
\(275\) | −12.1067 | − | 29.2281i | −0.730060 | − | 1.76252i | ||||
\(276\) | 2.38167 | − | 9.71994i | 0.143360 | − | 0.585072i | ||||
\(277\) | −7.51221 | − | 18.1361i | −0.451365 | − | 1.08969i | −0.971803 | − | 0.235792i | \(-0.924232\pi\) |
0.520439 | − | 0.853899i | \(-0.325768\pi\) | |||||||
\(278\) | −22.7021 | − | 19.4814i | −1.36158 | − | 1.16842i | ||||
\(279\) | −10.0575 | −0.602129 | ||||||||
\(280\) | 21.0131 | + | 13.0805i | 1.25577 | + | 0.781707i | ||||
\(281\) | 4.60447i | 0.274680i | 0.990524 | + | 0.137340i | \(0.0438552\pi\) | ||||
−0.990524 | + | 0.137340i | \(0.956145\pi\) | |||||||
\(282\) | 12.9330 | + | 11.0982i | 0.770150 | + | 0.660891i | ||||
\(283\) | 3.89938 | + | 9.41393i | 0.231794 | + | 0.559600i | 0.996388 | − | 0.0849116i | \(-0.0270608\pi\) |
−0.764595 | + | 0.644511i | \(0.777061\pi\) | |||||||
\(284\) | −7.22959 | − | 5.30443i | −0.428997 | − | 0.314760i | ||||
\(285\) | −6.41438 | + | 15.4857i | −0.379955 | + | 0.917293i | ||||
\(286\) | 16.1502 | − | 10.0113i | 0.954982 | − | 0.591982i | ||||
\(287\) | 24.4310i | 1.44212i | ||||||||
\(288\) | −0.115261 | + | 9.85998i | −0.00679183 | + | 0.581005i | ||||
\(289\) | −7.57632 | −0.445666 | ||||||||
\(290\) | 15.1008 | − | 46.1084i | 0.886749 | − | 2.70758i | ||||
\(291\) | −14.6189 | + | 6.05534i | −0.856973 | + | 0.354970i | ||||
\(292\) | 0.866865 | − | 1.18148i | 0.0507294 | − | 0.0691409i | ||||
\(293\) | 10.3973 | + | 4.30672i | 0.607419 | + | 0.251601i | 0.665125 | − | 0.746732i | \(-0.268378\pi\) |
−0.0577055 | + | 0.998334i | \(0.518378\pi\) | |||||||
\(294\) | −0.159676 | − | 2.09138i | −0.00931251 | − | 0.121972i | ||||
\(295\) | −23.8874 | − | 23.8874i | −1.39078 | − | 1.39078i | ||||
\(296\) | −3.03435 | + | 4.87454i | −0.176368 | + | 0.283327i | ||||
\(297\) | 19.8157 | 1.14983 | ||||||||
\(298\) | 8.37069 | − | 0.639100i | 0.484901 | − | 0.0370221i | ||||
\(299\) | −15.3416 | − | 4.85831i | −0.887225 | − | 0.280963i | ||||
\(300\) | −4.53020 | + | 18.4884i | −0.261551 | + | 1.06743i | ||||
\(301\) | −16.4861 | + | 6.82875i | −0.950241 | + | 0.393603i | ||||
\(302\) | 4.74235 | + | 9.36142i | 0.272891 | + | 0.538689i | ||||
\(303\) | 5.59670i | 0.321522i | ||||||||
\(304\) | −12.4800 | + | 10.4587i | −0.715775 | + | 0.599845i | ||||
\(305\) | −28.7742 | + | 28.7742i | −1.64761 | + | 1.64761i | ||||
\(306\) | −7.19169 | − | 2.35532i | −0.411122 | − | 0.134645i | ||||
\(307\) | −5.67908 | + | 2.35235i | −0.324122 | + | 0.134256i | −0.538811 | − | 0.842427i | \(-0.681126\pi\) |
0.214689 | + | 0.976682i | \(0.431126\pi\) | |||||||
\(308\) | 15.1844 | − | 9.20761i | 0.865209 | − | 0.524652i | ||||
\(309\) | 0.923349 | + | 2.22916i | 0.0525275 | + | 0.126813i | ||||
\(310\) | −22.7432 | − | 19.5166i | −1.29172 | − | 1.10847i | ||||
\(311\) | −8.98611 | − | 8.98611i | −0.509556 | − | 0.509556i | 0.404834 | − | 0.914390i | \(-0.367329\pi\) |
−0.914390 | + | 0.404834i | \(0.867329\pi\) | |||||||
\(312\) | −11.3982 | − | 0.891775i | −0.645296 | − | 0.0504868i | ||||
\(313\) | 14.0132 | − | 14.0132i | 0.792072 | − | 0.792072i | −0.189759 | − | 0.981831i | \(-0.560771\pi\) |
0.981831 | + | 0.189759i | \(0.0607707\pi\) | |||||||
\(314\) | −29.3138 | + | 2.23810i | −1.65427 | + | 0.126303i | ||||
\(315\) | 14.0931 | − | 5.83756i | 0.794057 | − | 0.328909i | ||||
\(316\) | −5.11123 | + | 6.96627i | −0.287529 | + | 0.391883i | ||||
\(317\) | 2.38771 | + | 5.76443i | 0.134107 | + | 0.323763i | 0.976640 | − | 0.214882i | \(-0.0689366\pi\) |
−0.842533 | + | 0.538644i | \(0.818937\pi\) | |||||||
\(318\) | −5.52263 | − | 10.9017i | −0.309694 | − | 0.611337i | ||||
\(319\) | −24.6137 | − | 24.6137i | −1.37810 | − | 1.37810i | ||||
\(320\) | −19.3939 | + | 22.0728i | −1.08415 | + | 1.23391i | ||||
\(321\) | 10.6497 | 0.594408 | ||||||||
\(322\) | −14.2923 | − | 4.68082i | −0.796479 | − | 0.260852i | ||||
\(323\) | −4.78214 | − | 11.5451i | −0.266085 | − | 0.642386i | ||||
\(324\) | −1.18050 | − | 0.866145i | −0.0655833 | − | 0.0481191i | ||||
\(325\) | 29.1813 | + | 9.24102i | 1.61869 | + | 0.512599i | ||||
\(326\) | −12.1595 | − | 10.4344i | −0.673450 | − | 0.577909i | ||||
\(327\) | − | 3.30677i | − | 0.182865i | ||||||
\(328\) | −28.6122 | − | 4.73767i | −1.57984 | − | 0.261594i | ||||
\(329\) | 18.1097 | − | 18.1097i | 0.998421 | − | 0.998421i | ||||
\(330\) | 16.4678 | + | 14.1315i | 0.906522 | + | 0.777915i | ||||
\(331\) | −3.98616 | + | 9.62344i | −0.219099 | + | 0.528952i | −0.994765 | − | 0.102192i | \(-0.967414\pi\) |
0.775666 | + | 0.631144i | \(0.217414\pi\) | |||||||
\(332\) | 20.8424 | + | 5.10700i | 1.14387 | + | 0.280283i | ||||
\(333\) | 1.35417 | + | 3.26926i | 0.0742083 | + | 0.179155i | ||||
\(334\) | −19.7561 | + | 10.0081i | −1.08101 | + | 0.547620i | ||||
\(335\) | − | 19.2462i | − | 1.05153i | ||||||
\(336\) | −10.6436 | − | 0.937893i | −0.580654 | − | 0.0511662i | ||||
\(337\) | −4.59839 | −0.250490 | −0.125245 | − | 0.992126i | \(-0.539972\pi\) | ||||
−0.125245 | + | 0.992126i | \(0.539972\pi\) | |||||||
\(338\) | −2.64680 | + | 18.1933i | −0.143967 | + | 0.989582i | ||||
\(339\) | −0.140499 | − | 0.0581967i | −0.00763087 | − | 0.00316081i | ||||
\(340\) | −11.6921 | − | 19.2816i | −0.634094 | − | 1.04569i | ||||
\(341\) | −19.8644 | + | 8.22812i | −1.07572 | + | 0.445578i | ||||
\(342\) | 0.763947 | + | 10.0059i | 0.0413095 | + | 0.541056i | ||||
\(343\) | −19.8307 | −1.07076 | ||||||||
\(344\) | −4.80045 | − | 20.6317i | −0.258823 | − | 1.11239i | ||||
\(345\) | − | 18.3778i | − | 0.989427i | ||||||
\(346\) | 8.54158 | − | 0.652148i | 0.459198 | − | 0.0350597i | ||||
\(347\) | −6.23726 | + | 2.58356i | −0.334834 | + | 0.138693i | −0.543765 | − | 0.839238i | \(-0.683002\pi\) |
0.208931 | + | 0.977930i | \(0.433002\pi\) | |||||||
\(348\) | 3.17965 | + | 20.7015i | 0.170447 | + | 1.10972i | ||||
\(349\) | −8.18421 | + | 3.39001i | −0.438091 | + | 0.181463i | −0.590817 | − | 0.806805i | \(-0.701195\pi\) |
0.152726 | + | 0.988269i | \(0.451195\pi\) | |||||||
\(350\) | 27.1855 | + | 8.90343i | 1.45313 | + | 0.475908i | ||||
\(351\) | −12.3423 | + | 14.6716i | −0.658784 | + | 0.783114i | ||||
\(352\) | 7.83886 | + | 19.5686i | 0.417812 | + | 1.04301i | ||||
\(353\) | −2.76987 | − | 2.76987i | −0.147425 | − | 0.147425i | 0.629542 | − | 0.776967i | \(-0.283243\pi\) |
−0.776967 | + | 0.629542i | \(0.783243\pi\) | |||||||
\(354\) | 13.8586 | + | 4.53879i | 0.736578 | + | 0.241234i | ||||
\(355\) | −15.2133 | − | 6.30154i | −0.807437 | − | 0.334451i | ||||
\(356\) | 27.2241 | + | 19.9746i | 1.44288 | + | 1.05865i | ||||
\(357\) | 3.13803 | − | 7.57587i | 0.166082 | − | 0.400958i | ||||
\(358\) | −0.0421184 | − | 0.551651i | −0.00222603 | − | 0.0291557i | ||||
\(359\) | −26.8258 | −1.41581 | −0.707905 | − | 0.706308i | \(-0.750360\pi\) | ||||
−0.707905 | + | 0.706308i | \(0.750360\pi\) | |||||||
\(360\) | 4.10367 | + | 17.6371i | 0.216282 | + | 0.929554i | ||||
\(361\) | 1.71769 | − | 1.71769i | 0.0904049 | − | 0.0904049i | ||||
\(362\) | 2.18635 | + | 1.87617i | 0.114912 | + | 0.0986095i | ||||
\(363\) | 2.99000 | − | 1.23850i | 0.156934 | − | 0.0650042i | ||||
\(364\) | −2.64030 | + | 16.9775i | −0.138389 | + | 0.889865i | ||||
\(365\) | 1.02982 | − | 2.48620i | 0.0539031 | − | 0.130133i | ||||
\(366\) | 5.46732 | − | 16.6938i | 0.285781 | − | 0.872597i | ||||
\(367\) | 17.9214 | 0.935490 | 0.467745 | − | 0.883863i | \(-0.345066\pi\) | ||||
0.467745 | + | 0.883863i | \(0.345066\pi\) | |||||||
\(368\) | 8.25347 | − | 15.8306i | 0.430242 | − | 0.825228i | ||||
\(369\) | −12.6385 | + | 12.6385i | −0.657934 | + | 0.657934i | ||||
\(370\) | −3.28180 | + | 10.0206i | −0.170613 | + | 0.520945i | ||||
\(371\) | −16.9674 | + | 7.02813i | −0.880904 | + | 0.364883i | ||||
\(372\) | 12.5653 | + | 3.07888i | 0.651482 | + | 0.159632i | ||||
\(373\) | 12.1912 | − | 5.04976i | 0.631236 | − | 0.261467i | −0.0440422 | − | 0.999030i | \(-0.514024\pi\) |
0.675278 | + | 0.737563i | \(0.264024\pi\) | |||||||
\(374\) | −16.1311 | + | 1.23161i | −0.834119 | + | 0.0636848i | ||||
\(375\) | 14.3686i | 0.741990i | ||||||||
\(376\) | 17.6972 | + | 24.7209i | 0.912663 | + | 1.27488i | ||||
\(377\) | 33.5548 | − | 2.89332i | 1.72816 | − | 0.149014i | ||||
\(378\) | −11.6686 | + | 13.5976i | −0.600166 | + | 0.699387i | ||||
\(379\) | 7.49356 | + | 3.10394i | 0.384919 | + | 0.159438i | 0.566747 | − | 0.823892i | \(-0.308202\pi\) |
−0.181829 | + | 0.983330i | \(0.558202\pi\) | |||||||
\(380\) | −17.6889 | + | 24.1088i | −0.907421 | + | 1.23676i | ||||
\(381\) | −2.54866 | + | 6.15302i | −0.130572 | + | 0.315229i | ||||
\(382\) | 6.07088 | + | 11.9839i | 0.310613 | + | 0.613152i | ||||
\(383\) | 9.36513 | − | 9.36513i | 0.478536 | − | 0.478536i | −0.426127 | − | 0.904663i | \(-0.640122\pi\) |
0.904663 | + | 0.426127i | \(0.140122\pi\) | |||||||
\(384\) | 3.16240 | − | 12.2832i | 0.161381 | − | 0.626827i | ||||
\(385\) | 23.0593 | − | 23.0593i | 1.17521 | − | 1.17521i | ||||
\(386\) | 2.86822 | − | 8.75775i | 0.145988 | − | 0.445757i | ||||
\(387\) | −12.0611 | − | 4.99585i | −0.613098 | − | 0.253953i | ||||
\(388\) | −27.9011 | + | 4.28546i | −1.41646 | + | 0.217561i | ||||
\(389\) | −27.6340 | + | 11.4464i | −1.40110 | + | 0.580354i | −0.950036 | − | 0.312139i | \(-0.898955\pi\) |
−0.451062 | + | 0.892493i | \(0.648955\pi\) | |||||||
\(390\) | −20.7200 | + | 3.39092i | −1.04920 | + | 0.171706i | ||||
\(391\) | 9.68825 | + | 9.68825i | 0.489956 | + | 0.489956i | ||||
\(392\) | 0.611252 | − | 3.69153i | 0.0308729 | − | 0.186451i | ||||
\(393\) | −2.81525 | − | 2.81525i | −0.142011 | − | 0.142011i | ||||
\(394\) | 0.713337 | + | 9.34302i | 0.0359374 | + | 0.470694i | ||||
\(395\) | −6.07203 | + | 14.6592i | −0.305517 | + | 0.737583i | ||||
\(396\) | 12.6183 | + | 3.09185i | 0.634092 | + | 0.155371i | ||||
\(397\) | −6.37142 | − | 15.3820i | −0.319772 | − | 0.771998i | −0.999266 | − | 0.0383169i | \(-0.987800\pi\) |
0.679493 | − | 0.733682i | \(-0.262200\pi\) | |||||||
\(398\) | 7.44650 | − | 22.7370i | 0.373259 | − | 1.13970i | ||||
\(399\) | −10.8737 | −0.544368 | ||||||||
\(400\) | −15.6990 | + | 30.1115i | −0.784949 | + | 1.50558i | ||||
\(401\) | −7.19029 | − | 7.19029i | −0.359066 | − | 0.359066i | 0.504403 | − | 0.863469i | \(-0.331713\pi\) |
−0.863469 | + | 0.504403i | \(0.831713\pi\) | |||||||
\(402\) | 3.75452 | + | 7.41144i | 0.187258 | + | 0.369649i | ||||
\(403\) | 6.28052 | − | 19.8326i | 0.312855 | − | 0.987933i | ||||
\(404\) | −2.37615 | + | 9.69742i | −0.118218 | + | 0.482465i | ||||
\(405\) | −2.48413 | − | 1.02896i | −0.123438 | − | 0.0511295i | ||||
\(406\) | 31.3839 | − | 2.39615i | 1.55755 | − | 0.118919i | ||||
\(407\) | 5.34921 | + | 5.34921i | 0.265150 | + | 0.265150i | ||||
\(408\) | 8.26389 | + | 5.14419i | 0.409123 | + | 0.254675i | ||||
\(409\) | 38.4154 | 1.89952 | 0.949761 | − | 0.312977i | \(-0.101326\pi\) | ||||
0.949761 | + | 0.312977i | \(0.101326\pi\) | |||||||
\(410\) | −53.1045 | + | 4.05452i | −2.62265 | + | 0.200238i | ||||
\(411\) | −0.127565 | + | 0.307969i | −0.00629231 | + | 0.0151910i | ||||
\(412\) | 0.653470 | + | 4.25450i | 0.0321941 | + | 0.209604i | ||||
\(413\) | 8.38663 | − | 20.2471i | 0.412679 | − | 0.996296i | ||||
\(414\) | −4.97215 | − | 9.81505i | −0.244368 | − | 0.482383i | ||||
\(415\) | 39.4073 | 1.93443 | ||||||||
\(416\) | −19.3711 | − | 6.38444i | −0.949746 | − | 0.313023i | ||||
\(417\) | 23.7148 | 1.16132 | ||||||||
\(418\) | 9.69473 | + | 19.1375i | 0.474185 | + | 0.936043i | ||||
\(419\) | 8.48669 | − | 20.4887i | 0.414602 | − | 1.00094i | −0.569284 | − | 0.822141i | \(-0.692779\pi\) |
0.983886 | − | 0.178797i | \(-0.0572205\pi\) | |||||||
\(420\) | −19.3942 | + | 2.97885i | −0.946341 | + | 0.145353i | ||||
\(421\) | −3.51182 | + | 8.47828i | −0.171156 | + | 0.413206i | −0.986060 | − | 0.166389i | \(-0.946789\pi\) |
0.814905 | + | 0.579595i | \(0.196789\pi\) | |||||||
\(422\) | 14.1527 | − | 1.08056i | 0.688945 | − | 0.0526008i | ||||
\(423\) | 18.7368 | 0.911013 | ||||||||
\(424\) | −4.94062 | − | 21.2341i | −0.239938 | − | 1.03122i | ||||
\(425\) | −18.4281 | − | 18.4281i | −0.893893 | − | 0.893893i | ||||
\(426\) | 7.08771 | − | 0.541145i | 0.343401 | − | 0.0262186i | ||||
\(427\) | −24.3892 | − | 10.1023i | −1.18028 | − | 0.488886i | ||||
\(428\) | 18.4528 | + | 4.52147i | 0.891948 | + | 0.218554i | ||||
\(429\) | −4.54757 | + | 14.3603i | −0.219559 | + | 0.693323i | ||||
\(430\) | −17.5793 | − | 34.7016i | −0.847749 | − | 1.67346i | ||||
\(431\) | −23.2676 | − | 23.2676i | −1.12076 | − | 1.12076i | −0.991627 | − | 0.129136i | \(-0.958780\pi\) |
−0.129136 | − | 0.991627i | \(-0.541220\pi\) | |||||||
\(432\) | −13.6620 | − | 16.3024i | −0.657313 | − | 0.784349i | ||||
\(433\) | −2.92887 | −0.140753 | −0.0703763 | − | 0.997521i | \(-0.522420\pi\) | ||||
−0.0703763 | + | 0.997521i | \(0.522420\pi\) | |||||||
\(434\) | 6.05108 | − | 18.4762i | 0.290461 | − | 0.886887i | ||||
\(435\) | 14.7189 | + | 35.5345i | 0.705715 | + | 1.70375i | ||||
\(436\) | 1.40394 | − | 5.72966i | 0.0672363 | − | 0.274401i | ||||
\(437\) | 6.95283 | − | 16.7856i | 0.332599 | − | 0.802965i | ||||
\(438\) | 0.0884355 | + | 1.15829i | 0.00422561 | + | 0.0553454i | ||||
\(439\) | 10.1578 | + | 10.1578i | 0.484806 | + | 0.484806i | 0.906663 | − | 0.421856i | \(-0.138621\pi\) |
−0.421856 | + | 0.906663i | \(0.638621\pi\) | |||||||
\(440\) | 22.5341 | + | 31.4774i | 1.07427 | + | 1.50063i | ||||
\(441\) | −1.63061 | − | 1.63061i | −0.0776482 | − | 0.0776482i | ||||
\(442\) | 9.13542 | − | 12.7106i | 0.434528 | − | 0.604582i | ||||
\(443\) | −26.5351 | + | 10.9912i | −1.26072 | + | 0.522208i | −0.910131 | − | 0.414321i | \(-0.864019\pi\) |
−0.350590 | + | 0.936529i | \(0.614019\pi\) | |||||||
\(444\) | −0.691023 | − | 4.49899i | −0.0327945 | − | 0.213513i | ||||
\(445\) | 57.2879 | + | 23.7294i | 2.71571 | + | 1.12488i | ||||
\(446\) | 1.62185 | − | 4.95213i | 0.0767970 | − | 0.234490i | ||||
\(447\) | −4.70585 | + | 4.70585i | −0.222579 | + | 0.222579i | ||||
\(448\) | −18.0440 | − | 6.14396i | −0.852497 | − | 0.290275i | ||||
\(449\) | −2.54450 | + | 2.54450i | −0.120082 | + | 0.120082i | −0.764594 | − | 0.644512i | \(-0.777061\pi\) |
0.644512 | + | 0.764594i | \(0.277061\pi\) | |||||||
\(450\) | 9.45756 | + | 18.6693i | 0.445834 | + | 0.880078i | ||||
\(451\) | −14.6224 | + | 35.3017i | −0.688544 | + | 1.66229i | ||||
\(452\) | −0.218735 | − | 0.160489i | −0.0102885 | − | 0.00754875i | ||||
\(453\) | −7.68581 | − | 3.18357i | −0.361111 | − | 0.149577i | ||||
\(454\) | −8.54401 | + | 9.95652i | −0.400990 | + | 0.467283i | ||||
\(455\) | 2.71061 | + | 31.4358i | 0.127075 | + | 1.47373i | ||||
\(456\) | 2.10863 | − | 12.7347i | 0.0987458 | − | 0.596356i | ||||
\(457\) | − | 8.60738i | − | 0.402636i | −0.979526 | − | 0.201318i | \(-0.935478\pi\) | ||
0.979526 | − | 0.201318i | \(-0.0645225\pi\) | |||||||
\(458\) | −28.6860 | + | 2.19017i | −1.34041 | + | 0.102340i | ||||
\(459\) | 15.0812 | − | 6.24683i | 0.703930 | − | 0.291577i | ||||
\(460\) | 7.80255 | − | 31.8433i | 0.363796 | − | 1.48470i | ||||
\(461\) | 33.5284 | − | 13.8879i | 1.56158 | − | 0.646826i | 0.576213 | − | 0.817299i | \(-0.304530\pi\) |
0.985362 | + | 0.170474i | \(0.0545298\pi\) | |||||||
\(462\) | −4.38144 | + | 13.3782i | −0.203843 | + | 0.622410i | ||||
\(463\) | 11.2768 | − | 11.2768i | 0.524077 | − | 0.524077i | −0.394723 | − | 0.918800i | \(-0.629159\pi\) |
0.918800 | + | 0.394723i | \(0.129159\pi\) | |||||||
\(464\) | −3.27972 | + | 37.2196i | −0.152257 | + | 1.72788i | ||||
\(465\) | 23.7577 | 1.10174 | ||||||||
\(466\) | −5.08708 | + | 15.5328i | −0.235654 | + | 0.719542i | ||||
\(467\) | −0.336886 | + | 0.813314i | −0.0155892 | + | 0.0376357i | −0.931482 | − | 0.363786i | \(-0.881484\pi\) |
0.915893 | + | 0.401422i | \(0.131484\pi\) | |||||||
\(468\) | −10.1486 | + | 7.41684i | −0.469117 | + | 0.342844i | ||||
\(469\) | 11.5352 | − | 4.77802i | 0.532645 | − | 0.220629i | ||||
\(470\) | 42.3696 | + | 36.3587i | 1.95436 | + | 1.67710i | ||||
\(471\) | 16.4797 | − | 16.4797i | 0.759343 | − | 0.759343i | ||||
\(472\) | 22.0859 | + | 13.7482i | 1.01659 | + | 0.632814i | ||||
\(473\) | −27.9087 | −1.28324 | ||||||||
\(474\) | −0.521435 | − | 6.82956i | −0.0239503 | − | 0.313692i | ||||
\(475\) | −13.2250 | + | 31.9280i | −0.606806 | + | 1.46496i | ||||
\(476\) | 8.65371 | − | 11.7944i | 0.396642 | − | 0.540598i | ||||
\(477\) | −12.4132 | − | 5.14172i | −0.568362 | − | 0.235423i | ||||
\(478\) | −12.2200 | − | 4.00212i | −0.558929 | − | 0.183053i | ||||
\(479\) | 15.7874 | + | 15.7874i | 0.721344 | + | 0.721344i | 0.968879 | − | 0.247535i | \(-0.0796204\pi\) |
−0.247535 | + | 0.968879i | \(0.579620\pi\) | |||||||
\(480\) | 0.272268 | − | 23.2910i | 0.0124273 | − | 1.06309i | ||||
\(481\) | −7.29234 | + | 0.628795i | −0.332502 | + | 0.0286706i | ||||
\(482\) | −2.16985 | − | 0.710641i | −0.0988341 | − | 0.0323688i | ||||
\(483\) | 11.0147 | − | 4.56243i | 0.501186 | − | 0.207598i | ||||
\(484\) | 5.70660 | − | 0.876505i | 0.259391 | − | 0.0398411i | ||||
\(485\) | −47.8926 | + | 19.8378i | −2.17469 | + | 0.900786i | ||||
\(486\) | −21.3376 | + | 1.62912i | −0.967892 | + | 0.0738983i | ||||
\(487\) | − | 27.5391i | − | 1.24792i | −0.781458 | − | 0.623958i | \(-0.785524\pi\) | ||
0.781458 | − | 0.623958i | \(-0.214476\pi\) | |||||||
\(488\) | 16.5608 | − | 26.6041i | 0.749673 | − | 1.20431i | ||||
\(489\) | 12.7019 | 0.574398 | ||||||||
\(490\) | −0.523112 | − | 6.85152i | −0.0236318 | − | 0.309520i | ||||
\(491\) | 20.4754 | − | 8.48119i | 0.924042 | − | 0.382751i | 0.130627 | − | 0.991432i | \(-0.458301\pi\) |
0.793415 | + | 0.608681i | \(0.208301\pi\) | |||||||
\(492\) | 19.6588 | − | 11.9209i | 0.886289 | − | 0.537435i | ||||
\(493\) | −26.4921 | − | 10.9734i | −1.19315 | − | 0.494217i | ||||
\(494\) | −20.2078 | − | 4.74183i | −0.909193 | − | 0.213345i | ||||
\(495\) | 23.8578 | 1.07233 | ||||||||
\(496\) | 20.4648 | + | 10.6696i | 0.918898 | + | 0.479078i | ||||
\(497\) | − | 10.6824i | − | 0.479173i | ||||||
\(498\) | −15.1752 | + | 7.68752i | −0.680017 | + | 0.344486i | ||||
\(499\) | −10.7974 | − | 26.0672i | −0.483357 | − | 1.16693i | −0.958005 | − | 0.286752i | \(-0.907424\pi\) |
0.474648 | − | 0.880176i | \(-0.342576\pi\) | |||||||
\(500\) | −6.10037 | + | 24.8965i | −0.272817 | + | 1.11340i | ||||
\(501\) | 6.71852 | − | 16.2199i | 0.300161 | − | 0.724654i | ||||
\(502\) | 22.2195 | + | 19.0672i | 0.991703 | + | 0.851012i | ||||
\(503\) | 4.16452 | − | 4.16452i | 0.185687 | − | 0.185687i | −0.608142 | − | 0.793829i | \(-0.708085\pi\) |
0.793829 | + | 0.608142i | \(0.208085\pi\) | |||||||
\(504\) | −9.55196 | + | 6.83806i | −0.425478 | + | 0.304592i | ||||
\(505\) | 18.3352i | 0.815906i | ||||||||
\(506\) | −17.8501 | − | 15.3178i | −0.793536 | − | 0.680959i | ||||
\(507\) | −7.79995 | − | 12.3114i | −0.346408 | − | 0.546769i | ||||
\(508\) | −7.02843 | + | 9.57929i | −0.311836 | + | 0.425012i | ||||
\(509\) | −10.6099 | − | 25.6147i | −0.470277 | − | 1.13535i | −0.964041 | − | 0.265754i | \(-0.914379\pi\) |
0.493764 | − | 0.869596i | \(-0.335621\pi\) | |||||||
\(510\) | 16.9881 | + | 5.56370i | 0.752244 | + | 0.246365i | ||||
\(511\) | 1.74576 | 0.0772277 | ||||||||
\(512\) | 10.6945 | − | 19.9406i | 0.472636 | − | 0.881258i | ||||
\(513\) | −15.3062 | − | 15.3062i | −0.675784 | − | 0.675784i | ||||
\(514\) | −5.38331 | − | 10.6267i | −0.237447 | − | 0.468723i | ||||
\(515\) | 3.02496 | + | 7.30291i | 0.133296 | + | 0.321805i | ||||
\(516\) | 13.5391 | + | 9.93376i | 0.596024 | + | 0.437309i | ||||
\(517\) | 37.0067 | − | 15.3287i | 1.62755 | − | 0.674154i | ||||
\(518\) | −6.82055 | + | 0.520747i | −0.299678 | + | 0.0228803i | ||||
\(519\) | −4.80192 | + | 4.80192i | −0.210781 | + | 0.210781i | ||||
\(520\) | −37.3414 | − | 2.92152i | −1.63753 | − | 0.128117i | ||||
\(521\) | −3.13369 | − | 3.13369i | −0.137289 | − | 0.137289i | 0.635122 | − | 0.772412i | \(-0.280950\pi\) |
−0.772412 | + | 0.635122i | \(0.780950\pi\) | |||||||
\(522\) | 17.4748 | + | 14.9957i | 0.764853 | + | 0.656345i | ||||
\(523\) | 9.55979 | + | 23.0794i | 0.418020 | + | 1.00919i | 0.982920 | + | 0.184031i | \(0.0589146\pi\) |
−0.564900 | + | 0.825159i | \(0.691085\pi\) | |||||||
\(524\) | −3.68274 | − | 6.07325i | −0.160881 | − | 0.265311i | ||||
\(525\) | −20.9511 | + | 8.67824i | −0.914382 | + | 0.378749i | ||||
\(526\) | −20.5548 | − | 6.73184i | −0.896233 | − | 0.293522i | ||||
\(527\) | −12.5244 | + | 12.5244i | −0.545570 | + | 0.545570i | ||||
\(528\) | −14.8181 | − | 7.72559i | −0.644875 | − | 0.336213i | ||||
\(529\) | − | 3.07950i | − | 0.133892i | ||||||
\(530\) | −18.0926 | − | 35.7148i | −0.785891 | − | 1.55135i | ||||
\(531\) | 14.8126 | − | 6.13558i | 0.642813 | − | 0.266262i | ||||
\(532\) | −18.8410 | − | 4.61659i | −0.816860 | − | 0.200155i | ||||
\(533\) | −17.0298 | − | 32.8143i | −0.737644 | − | 1.42134i | ||||
\(534\) | −26.6899 | + | 2.03777i | −1.15498 | + | 0.0881827i | ||||
\(535\) | 34.8892 | 1.50839 | ||||||||
\(536\) | 3.35884 | + | 14.4359i | 0.145080 | + | 0.623534i | ||||
\(537\) | 0.310128 | + | 0.310128i | 0.0133830 | + | 0.0133830i | ||||
\(538\) | 1.65182 | + | 21.6350i | 0.0712152 | + | 0.932749i | ||||
\(539\) | −4.55461 | − | 1.88658i | −0.196181 | − | 0.0812608i | ||||
\(540\) | −31.4930 | − | 23.1067i | −1.35524 | − | 0.994356i | ||||
\(541\) | −36.1831 | + | 14.9875i | −1.55563 | + | 0.644365i | −0.984324 | − | 0.176370i | \(-0.943565\pi\) |
−0.571310 | + | 0.820734i | \(0.693565\pi\) | |||||||
\(542\) | 0.752585 | − | 2.29793i | 0.0323263 | − | 0.0987043i | ||||
\(543\) | −2.28387 | −0.0980104 | ||||||||
\(544\) | 12.1348 | + | 12.4219i | 0.520277 | + | 0.532584i | ||||
\(545\) | − | 10.8332i | − | 0.464045i | ||||||
\(546\) | −7.17626 | − | 11.5767i | −0.307115 | − | 0.495437i | ||||
\(547\) | 9.39690 | − | 22.6861i | 0.401782 | − | 0.969988i | −0.585451 | − | 0.810708i | \(-0.699083\pi\) |
0.987233 | − | 0.159281i | \(-0.0509174\pi\) | |||||||
\(548\) | −0.351785 | + | 0.479460i | −0.0150275 | + | 0.0204815i | ||||
\(549\) | −7.39078 | − | 17.8429i | −0.315431 | − | 0.761517i | ||||
\(550\) | 33.9529 | + | 29.1361i | 1.44776 | + | 1.24237i | ||||
\(551\) | 38.0245i | 1.61990i | ||||||||
\(552\) | 3.20729 | + | 13.7845i | 0.136511 | + | 0.586707i | ||||
\(553\) | −10.2934 | −0.437719 | ||||||||
\(554\) | 21.0678 | + | 18.0790i | 0.895085 | + | 0.768101i | ||||
\(555\) | −3.19880 | − | 7.72259i | −0.135781 | − | 0.327806i | ||||
\(556\) | 41.0908 | + | 10.0684i | 1.74264 | + | 0.426997i | ||||
\(557\) | −3.88582 | − | 9.38120i | −0.164647 | − | 0.397494i | 0.819925 | − | 0.572471i | \(-0.194015\pi\) |
−0.984573 | + | 0.174977i | \(0.944015\pi\) | |||||||
\(558\) | 12.6883 | − | 6.42769i | 0.537138 | − | 0.272106i | ||||
\(559\) | 17.3830 | − | 20.6637i | 0.735224 | − | 0.873981i | ||||
\(560\) | −34.8692 | − | 3.07261i | −1.47349 | − | 0.129841i | ||||
\(561\) | 9.06860 | − | 9.06860i | 0.382877 | − | 0.382877i | ||||
\(562\) | −2.94268 | − | 5.80886i | −0.124129 | − | 0.245032i | ||||
\(563\) | 15.4537 | − | 37.3086i | 0.651297 | − | 1.57237i | −0.159602 | − | 0.987182i | \(-0.551021\pi\) |
0.810898 | − | 0.585187i | \(-0.198979\pi\) | |||||||
\(564\) | −23.4087 | − | 5.73583i | −0.985685 | − | 0.241522i | ||||
\(565\) | −0.460287 | − | 0.190657i | −0.0193644 | − | 0.00802100i | ||||
\(566\) | −10.9357 | − | 9.38428i | −0.459662 | − | 0.394451i | ||||
\(567\) | − | 1.74431i | − | 0.0732540i | ||||||
\(568\) | 12.5107 | + | 2.07154i | 0.524935 | + | 0.0869199i | ||||
\(569\) | −6.13903 | − | 6.13903i | −0.257362 | − | 0.257362i | 0.566619 | − | 0.823980i | \(-0.308251\pi\) |
−0.823980 | + | 0.566619i | \(0.808251\pi\) | |||||||
\(570\) | −1.80458 | − | 23.6357i | −0.0755855 | − | 0.989990i | ||||
\(571\) | 9.16143 | + | 22.1176i | 0.383394 | + | 0.925594i | 0.991304 | + | 0.131589i | \(0.0420079\pi\) |
−0.607911 | + | 0.794005i | \(0.707992\pi\) | |||||||
\(572\) | −13.9765 | + | 22.9515i | −0.584386 | + | 0.959649i | ||||
\(573\) | −9.83893 | − | 4.07542i | −0.411027 | − | 0.170253i | ||||
\(574\) | −15.6137 | − | 30.8215i | −0.651703 | − | 1.28646i | ||||
\(575\) | − | 37.8909i | − | 1.58016i | ||||||
\(576\) | −6.15602 | − | 12.5127i | −0.256501 | − | 0.521364i | ||||
\(577\) | 19.7094 | + | 19.7094i | 0.820512 | + | 0.820512i | 0.986181 | − | 0.165669i | \(-0.0529784\pi\) |
−0.165669 | + | 0.986181i | \(0.552978\pi\) | |||||||
\(578\) | 9.55807 | − | 4.84196i | 0.397563 | − | 0.201399i | ||||
\(579\) | 2.79567 | + | 6.74935i | 0.116184 | + | 0.280493i | ||||
\(580\) | 10.4168 | + | 67.8198i | 0.432533 | + | 2.81606i | ||||
\(581\) | 9.78318 | + | 23.6187i | 0.405875 | + | 0.979869i | ||||
\(582\) | 14.5728 | − | 16.9820i | 0.604063 | − | 0.703928i | ||||
\(583\) | −28.7236 | −1.18961 | ||||||||
\(584\) | −0.338537 | + | 2.04453i | −0.0140088 | + | 0.0846031i | ||||
\(585\) | −14.8599 | + | 17.6644i | −0.614382 | + | 0.730332i | ||||
\(586\) | −15.8694 | + | 1.21162i | −0.655558 | + | 0.0500517i | ||||
\(587\) | −15.3046 | + | 36.9485i | −0.631687 | + | 1.52503i | 0.205813 | + | 0.978591i | \(0.434016\pi\) |
−0.837500 | + | 0.546437i | \(0.815984\pi\) | |||||||
\(588\) | 1.53803 | + | 2.53637i | 0.0634271 | + | 0.104598i | ||||
\(589\) | 21.6994 | + | 8.98819i | 0.894109 | + | 0.370352i | ||||
\(590\) | 45.4019 | + | 14.8694i | 1.86917 | + | 0.612165i | ||||
\(591\) | −5.25247 | − | 5.25247i | −0.216058 | − | 0.216058i | ||||
\(592\) | 0.712771 | − | 8.08881i | 0.0292947 | − | 0.332448i | ||||
\(593\) | −28.0466 | − | 28.0466i | −1.15174 | − | 1.15174i | −0.986205 | − | 0.165531i | \(-0.947066\pi\) |
−0.165531 | − | 0.986205i | \(-0.552934\pi\) | |||||||
\(594\) | −24.9990 | + | 12.6641i | −1.02572 | + | 0.519614i | ||||
\(595\) | 10.2804 | − | 24.8191i | 0.421456 | − | 1.01749i | ||||
\(596\) | −10.1518 | + | 6.15591i | −0.415833 | + | 0.252156i | ||||
\(597\) | 7.25816 | + | 17.5227i | 0.297057 | + | 0.717158i | ||||
\(598\) | 22.4594 | − | 3.67556i | 0.918432 | − | 0.150305i | ||||
\(599\) | 6.67534 | − | 6.67534i | 0.272747 | − | 0.272747i | −0.557458 | − | 0.830205i | \(-0.688223\pi\) |
0.830205 | + | 0.557458i | \(0.188223\pi\) | |||||||
\(600\) | −6.10060 | − | 26.2196i | −0.249056 | − | 1.07041i | ||||
\(601\) | −5.95565 | + | 5.95565i | −0.242936 | + | 0.242936i | −0.818064 | − | 0.575128i | \(-0.804952\pi\) |
0.575128 | + | 0.818064i | \(0.304952\pi\) | |||||||
\(602\) | 16.4341 | − | 19.1511i | 0.669805 | − | 0.780539i | ||||
\(603\) | 8.43903 | + | 3.49556i | 0.343664 | + | 0.142350i | ||||
\(604\) | −11.9656 | − | 8.77930i | −0.486874 | − | 0.357225i | ||||
\(605\) | 9.79546 | − | 4.05741i | 0.398242 | − | 0.164957i | ||||
\(606\) | −3.57680 | − | 7.06063i | −0.145298 | − | 0.286818i | ||||
\(607\) | 24.2498i | 0.984271i | 0.870519 | + | 0.492135i | \(0.163784\pi\) | ||||
−0.870519 | + | 0.492135i | \(0.836216\pi\) | |||||||
\(608\) | 9.06032 | − | 21.1702i | 0.367445 | − | 0.858564i | ||||
\(609\) | −17.6434 | + | 17.6434i | −0.714948 | + | 0.714948i | ||||
\(610\) | 17.9114 | − | 54.6901i | 0.725210 | − | 2.21434i | ||||
\(611\) | −11.7004 | + | 36.9474i | −0.473346 | + | 1.49473i | ||||
\(612\) | 10.5781 | − | 1.62474i | 0.427594 | − | 0.0656763i | ||||
\(613\) | −6.91148 | + | 16.6858i | −0.279152 | + | 0.673933i | −0.999813 | − | 0.0193552i | \(-0.993839\pi\) |
0.720661 | + | 0.693288i | \(0.243839\pi\) | |||||||
\(614\) | 5.66119 | − | 6.59711i | 0.228467 | − | 0.266238i | ||||
\(615\) | 29.8544 | − | 29.8544i | 1.20384 | − | 1.20384i | ||||
\(616\) | −13.2716 | + | 21.3202i | −0.534730 | + | 0.859017i | ||||
\(617\) | − | 9.74446i | − | 0.392297i | −0.980574 | − | 0.196149i | \(-0.937156\pi\) | ||
0.980574 | − | 0.196149i | \(-0.0628435\pi\) | |||||||
\(618\) | −2.58951 | − | 2.22214i | −0.104165 | − | 0.0893876i | ||||
\(619\) | −36.9524 | − | 15.3062i | −1.48524 | − | 0.615208i | −0.514968 | − | 0.857209i | \(-0.672196\pi\) |
−0.970276 | + | 0.242001i | \(0.922196\pi\) | |||||||
\(620\) | 41.1650 | + | 10.0866i | 1.65323 | + | 0.405090i | ||||
\(621\) | 21.9268 | + | 9.08238i | 0.879892 | + | 0.364463i | ||||
\(622\) | 17.0796 | + | 5.59367i | 0.684828 | + | 0.224286i | ||||
\(623\) | 40.2264i | 1.61164i | ||||||||
\(624\) | 14.9496 | − | 6.15946i | 0.598461 | − | 0.246576i | ||||
\(625\) | 4.62478i | 0.184991i | ||||||||
\(626\) | −8.72291 | + | 26.6343i | −0.348638 | + | 1.06452i | ||||
\(627\) | −15.7120 | − | 6.50814i | −0.627478 | − | 0.259910i | ||||
\(628\) | 35.5510 | − | 21.5577i | 1.41864 | − | 0.860246i | ||||
\(629\) | 5.75744 | + | 2.38481i | 0.229564 | + | 0.0950886i | ||||
\(630\) | −14.0487 | + | 16.3713i | −0.559715 | + | 0.652248i | ||||
\(631\) | − | 31.9209i | − | 1.27075i | −0.772204 | − | 0.635375i | \(-0.780846\pi\) | ||
0.772204 | − | 0.635375i | \(-0.219154\pi\) | |||||||
\(632\) | 1.99609 | − | 12.0550i | 0.0794002 | − | 0.479522i | ||||
\(633\) | −7.95642 | + | 7.95642i | −0.316239 | + | 0.316239i | ||||
\(634\) | −6.69626 | − | 5.74628i | −0.265943 | − | 0.228214i | ||||
\(635\) | −8.34963 | + | 20.1578i | −0.331345 | + | 0.799937i | ||||
\(636\) | 13.9344 | + | 10.2238i | 0.552534 | + | 0.405400i | ||||
\(637\) | 4.23368 | − | 2.19718i | 0.167745 | − | 0.0870555i | ||||
\(638\) | 46.7823 | + | 15.3215i | 1.85213 | + | 0.606584i | ||||
\(639\) | 5.52617 | − | 5.52617i | 0.218612 | − | 0.218612i | ||||
\(640\) | 10.3603 | − | 40.2409i | 0.409526 | − | 1.59066i | ||||
\(641\) | 26.6084i | 1.05097i | 0.850804 | + | 0.525484i | \(0.176116\pi\) | ||||
−0.850804 | + | 0.525484i | \(0.823884\pi\) | |||||||
\(642\) | −13.4353 | + | 6.80613i | −0.530251 | + | 0.268617i | ||||
\(643\) | −12.3405 | + | 5.11160i | −0.486661 | + | 0.201582i | −0.612503 | − | 0.790469i | \(-0.709837\pi\) |
0.125841 | + | 0.992050i | \(0.459837\pi\) | |||||||
\(644\) | 21.0222 | − | 3.22891i | 0.828392 | − | 0.127237i | ||||
\(645\) | 28.4904 | + | 11.8011i | 1.12181 | + | 0.464668i | ||||
\(646\) | 13.4114 | + | 11.5087i | 0.527664 | + | 0.452805i | ||||
\(647\) | −23.9105 | + | 23.9105i | −0.940019 | + | 0.940019i | −0.998300 | − | 0.0582808i | \(-0.981438\pi\) |
0.0582808 | + | 0.998300i | \(0.481438\pi\) | |||||||
\(648\) | 2.04283 | + | 0.338256i | 0.0802499 | + | 0.0132879i | ||||
\(649\) | 24.2366 | − | 24.2366i | 0.951368 | − | 0.951368i | ||||
\(650\) | −42.7201 | + | 6.99132i | −1.67562 | + | 0.274222i | ||||
\(651\) | 5.89803 | + | 14.2391i | 0.231162 | + | 0.558075i | ||||
\(652\) | 22.0086 | + | 5.39275i | 0.861922 | + | 0.211196i | ||||
\(653\) | −18.4574 | + | 44.5601i | −0.722293 | + | 1.74377i | −0.0555823 | + | 0.998454i | \(0.517702\pi\) |
−0.666711 | + | 0.745316i | \(0.732298\pi\) | |||||||
\(654\) | 2.11333 | + | 4.17173i | 0.0826378 | + | 0.163127i | ||||
\(655\) | −9.22298 | − | 9.22298i | −0.360372 | − | 0.360372i | ||||
\(656\) | 39.1241 | − | 12.3089i | 1.52754 | − | 0.480583i | ||||
\(657\) | 0.903102 | + | 0.903102i | 0.0352334 | + | 0.0352334i | ||||
\(658\) | −11.2729 | + | 34.4205i | −0.439464 | + | 1.34185i | ||||
\(659\) | −5.09011 | − | 2.10839i | −0.198282 | − | 0.0821313i | 0.281332 | − | 0.959610i | \(-0.409224\pi\) |
−0.479615 | + | 0.877479i | \(0.659224\pi\) | |||||||
\(660\) | −29.8066 | − | 7.30350i | −1.16022 | − | 0.284289i | ||||
\(661\) | 4.84661 | − | 11.7007i | 0.188511 | − | 0.455106i | −0.801162 | − | 0.598447i | \(-0.795785\pi\) |
0.989673 | + | 0.143341i | \(0.0457846\pi\) | |||||||
\(662\) | −1.12144 | − | 14.6882i | −0.0435860 | − | 0.570872i | ||||
\(663\) | 1.06601 | + | 12.3628i | 0.0414003 | + | 0.480133i | ||||
\(664\) | −29.5580 | + | 6.87735i | −1.14707 | + | 0.266893i | ||||
\(665\) | −35.6232 | −1.38141 | ||||||||
\(666\) | −3.79775 | − | 3.25897i | −0.147160 | − | 0.126282i | ||||
\(667\) | −15.9544 | − | 38.5174i | −0.617757 | − | 1.49140i | ||||
\(668\) | 18.5276 | − | 25.2519i | 0.716855 | − | 0.977027i | ||||
\(669\) | 1.58083 | + | 3.81647i | 0.0611186 | + | 0.147553i | ||||
\(670\) | 12.3001 | + | 24.2805i | 0.475194 | + | 0.938036i | ||||
\(671\) | −29.1948 | − | 29.1948i | −1.12705 | − | 1.12705i | ||||
\(672\) | 14.0270 | − | 5.61900i | 0.541104 | − | 0.216758i | ||||
\(673\) | − | 23.5100i | − | 0.906244i | −0.891449 | − | 0.453122i | \(-0.850310\pi\) | ||
0.891449 | − | 0.453122i | \(-0.149690\pi\) | |||||||
\(674\) | 5.80120 | − | 2.93879i | 0.223454 | − | 0.113198i | ||||
\(675\) | −41.7071 | − | 17.2757i | −1.60531 | − | 0.664940i | ||||
\(676\) | −8.28803 | − | 24.6436i | −0.318770 | − | 0.947832i | ||||
\(677\) | 2.75713 | + | 6.65630i | 0.105965 | + | 0.255823i | 0.967965 | − | 0.251087i | \(-0.0807879\pi\) |
−0.861999 | + | 0.506909i | \(0.830788\pi\) | |||||||
\(678\) | 0.214443 | − | 0.0163727i | 0.00823563 | − | 0.000628789i | ||||
\(679\) | −23.7794 | − | 23.7794i | −0.912571 | − | 0.912571i | ||||
\(680\) | 27.0731 | + | 16.8528i | 1.03821 | + | 0.646274i | ||||
\(681\) | − | 10.4007i | − | 0.398554i | ||||||
\(682\) | 19.8019 | − | 23.0756i | 0.758253 | − | 0.883609i | ||||
\(683\) | 40.7465 | + | 16.8778i | 1.55912 | + | 0.645810i | 0.984937 | − | 0.172915i | \(-0.0553185\pi\) |
0.574186 | + | 0.818725i | \(0.305318\pi\) | |||||||
\(684\) | −7.35845 | − | 12.1349i | −0.281358 | − | 0.463990i | ||||
\(685\) | −0.417913 | + | 1.00893i | −0.0159676 | + | 0.0385492i | ||||
\(686\) | 25.0179 | − | 12.6736i | 0.955186 | − | 0.483882i | ||||
\(687\) | 16.1268 | − | 16.1268i | 0.615274 | − | 0.615274i | ||||
\(688\) | 19.2417 | + | 22.9605i | 0.733582 | + | 0.875359i | ||||
\(689\) | 17.8906 | − | 21.2670i | 0.681577 | − | 0.810209i | ||||
\(690\) | 11.7451 | + | 23.1849i | 0.447128 | + | 0.882634i | ||||
\(691\) | −9.80712 | − | 23.6765i | −0.373080 | − | 0.900695i | −0.993225 | − | 0.116208i | \(-0.962926\pi\) |
0.620145 | − | 0.784488i | \(-0.287074\pi\) | |||||||
\(692\) | −10.3590 | + | 6.28158i | −0.393791 | + | 0.238790i | ||||
\(693\) | 5.92288 | + | 14.2991i | 0.224992 | + | 0.543178i | ||||
\(694\) | 6.21762 | − | 7.24552i | 0.236017 | − | 0.275036i | ||||
\(695\) | 77.6916 | 2.94701 | ||||||||
\(696\) | −17.2415 | − | 24.0844i | −0.653539 | − | 0.912915i | ||||
\(697\) | 31.4768i | 1.19227i | ||||||||
\(698\) | 8.15844 | − | 9.50721i | 0.308801 | − | 0.359853i | ||||
\(699\) | −4.95842 | − | 11.9707i | −0.187545 | − | 0.452773i | ||||
\(700\) | −39.9866 | + | 6.14173i | −1.51135 | + | 0.232136i | ||||
\(701\) | 9.09161 | − | 21.9491i | 0.343386 | − | 0.829006i | −0.653983 | − | 0.756509i | \(-0.726903\pi\) |
0.997369 | − | 0.0724969i | \(-0.0230967\pi\) | |||||||
\(702\) | 6.19418 | − | 26.3972i | 0.233784 | − | 0.996297i | ||||
\(703\) | − | 8.26373i | − | 0.311672i | ||||||
\(704\) | −22.3954 | − | 19.6774i | −0.844058 | − | 0.741619i | ||||
\(705\) | −44.2596 | −1.66691 | ||||||||
\(706\) | 5.26459 | + | 1.72419i | 0.198135 | + | 0.0648906i | ||||
\(707\) | −10.9892 | + | 4.55186i | −0.413290 | + | 0.171190i | ||||
\(708\) | −20.3843 | + | 3.13093i | −0.766091 | + | 0.117668i | ||||
\(709\) | −40.1855 | − | 16.6454i | −1.50920 | − | 0.625130i | −0.533805 | − | 0.845608i | \(-0.679238\pi\) |
−0.975392 | + | 0.220478i | \(0.929238\pi\) | |||||||
\(710\) | 23.2199 | − | 1.77283i | 0.871427 | − | 0.0665333i | ||||
\(711\) | −5.32489 | − | 5.32489i | −0.199699 | − | 0.199699i | ||||
\(712\) | −47.1108 | − | 7.80070i | −1.76555 | − | 0.292344i | ||||
\(713\) | −25.7520 | −0.964419 | ||||||||
\(714\) | 0.882832 | + | 11.5630i | 0.0330391 | + | 0.432734i | ||||
\(715\) | −14.8982 | + | 47.0456i | −0.557162 | + | 1.75940i | ||||
\(716\) | 0.405691 | + | 0.669029i | 0.0151614 | + | 0.0250028i | ||||
\(717\) | 9.41760 | − | 3.90090i | 0.351707 | − | 0.145682i | ||||
\(718\) | 33.8426 | − | 17.1441i | 1.26300 | − | 0.639813i | ||||
\(719\) | 41.1238i | 1.53366i | 0.641851 | + | 0.766829i | \(0.278167\pi\) | ||||
−0.641851 | + | 0.766829i | \(0.721833\pi\) | |||||||
\(720\) | −16.4488 | − | 19.6278i | −0.613010 | − | 0.731484i | ||||
\(721\) | −3.62601 | + | 3.62601i | −0.135040 | + | 0.135040i | ||||
\(722\) | −1.06923 | + | 3.26476i | −0.0397926 | + | 0.121502i | ||||
\(723\) | 1.67225 | − | 0.692667i | 0.0621915 | − | 0.0257606i | ||||
\(724\) | −3.95728 | − | 0.969650i | −0.147071 | − | 0.0360368i | ||||
\(725\) | 30.3470 | + | 73.2641i | 1.12706 | + | 2.72096i | ||||
\(726\) | −2.98058 | + | 3.47333i | −0.110620 | + | 0.128908i | ||||
\(727\) | −20.2216 | − | 20.2216i | −0.749977 | − | 0.749977i | 0.224498 | − | 0.974475i | \(-0.427926\pi\) |
−0.974475 | + | 0.224498i | \(0.927926\pi\) | |||||||
\(728\) | −7.51929 | − | 23.1058i | −0.278683 | − | 0.856356i | ||||
\(729\) | 13.5486 | − | 13.5486i | 0.501799 | − | 0.501799i | ||||
\(730\) | 0.289722 | + | 3.79466i | 0.0107231 | + | 0.140447i | ||||
\(731\) | −21.2405 | + | 8.79810i | −0.785608 | + | 0.325410i | ||||
\(732\) | 3.77145 | + | 24.5545i | 0.139397 | + | 0.907560i | ||||
\(733\) | −6.31994 | − | 15.2577i | −0.233432 | − | 0.563555i | 0.763145 | − | 0.646228i | \(-0.223654\pi\) |
−0.996577 | + | 0.0826725i | \(0.973654\pi\) | |||||||
\(734\) | −22.6091 | + | 11.4534i | −0.834519 | + | 0.422754i | ||||
\(735\) | 3.85180 | + | 3.85180i | 0.142076 | + | 0.142076i | ||||
\(736\) | −0.295123 | + | 25.2462i | −0.0108784 | + | 0.930586i | ||||
\(737\) | 19.5275 | 0.719305 | ||||||||
\(738\) | 7.86720 | − | 24.0215i | 0.289596 | − | 0.884245i | ||||
\(739\) | 6.93010 | + | 16.7307i | 0.254928 | + | 0.615450i | 0.998589 | − | 0.0531067i | \(-0.0169123\pi\) |
−0.743661 | + | 0.668557i | \(0.766912\pi\) | |||||||
\(740\) | −2.26384 | − | 14.7391i | −0.0832206 | − | 0.541818i | ||||
\(741\) | 14.6049 | − | 7.57962i | 0.536526 | − | 0.278444i | ||||
\(742\) | 16.9140 | − | 19.7102i | 0.620932 | − | 0.723585i | ||||
\(743\) | 47.4863i | 1.74210i | 0.491192 | + | 0.871051i | \(0.336561\pi\) | ||||
−0.491192 | + | 0.871051i | \(0.663439\pi\) | |||||||
\(744\) | −17.8198 | + | 4.14618i | −0.653304 | + | 0.152006i | ||||
\(745\) | −15.4167 | + | 15.4167i | −0.564825 | + | 0.564825i | ||||
\(746\) | −12.1528 | + | 14.1619i | −0.444945 | + | 0.518505i | ||||
\(747\) | −7.15729 | + | 17.2792i | −0.261872 | + | 0.632214i | ||||
\(748\) | 19.5634 | − | 11.8630i | 0.715309 | − | 0.433754i | ||||
\(749\) | 8.66153 | + | 20.9108i | 0.316485 | + | 0.764063i | ||||
\(750\) | −9.18284 | − | 18.1270i | −0.335310 | − | 0.661903i | ||||
\(751\) | − | 0.264621i | − | 0.00965617i | −0.999988 | − | 0.00482809i | \(-0.998463\pi\) | ||
0.999988 | − | 0.00482809i | \(-0.00153683\pi\) | |||||||
\(752\) | −38.1252 | − | 19.8770i | −1.39028 | − | 0.724839i | ||||
\(753\) | −23.2106 | −0.845842 | ||||||||
\(754\) | −40.4826 | + | 25.0947i | −1.47429 | + | 0.913895i | ||||
\(755\) | −25.1793 | − | 10.4296i | −0.916370 | − | 0.379573i | ||||
\(756\) | 6.03059 | − | 24.6117i | 0.219330 | − | 0.895118i | ||||
\(757\) | −8.14414 | + | 3.37342i | −0.296004 | + | 0.122609i | −0.525743 | − | 0.850643i | \(-0.676213\pi\) |
0.229739 | + | 0.973252i | \(0.426213\pi\) | |||||||
\(758\) | −11.4374 | + | 0.873240i | −0.415424 | + | 0.0317175i | ||||
\(759\) | 18.6464 | 0.676822 | ||||||||
\(760\) | 6.90805 | − | 41.7198i | 0.250581 | − | 1.51334i | ||||
\(761\) | 43.4075i | 1.57352i | 0.617258 | + | 0.786761i | \(0.288244\pi\) | ||||
−0.617258 | + | 0.786761i | \(0.711756\pi\) | |||||||
\(762\) | −0.717024 | − | 9.39130i | −0.0259750 | − | 0.340211i | ||||
\(763\) | 6.49288 | − | 2.68944i | 0.235058 | − | 0.0973642i | ||||
\(764\) | −15.3177 | − | 11.2388i | −0.554174 | − | 0.406604i | ||||
\(765\) | 18.1575 | − | 7.52107i | 0.656484 | − | 0.271925i | ||||
\(766\) | −5.82960 | + | 17.8000i | −0.210632 | + | 0.643138i | ||||
\(767\) | 2.84899 | + | 33.0407i | 0.102871 | + | 1.19303i | ||||
\(768\) | 3.86052 | + | 17.5173i | 0.139305 | + | 0.632099i | ||||
\(769\) | −22.6166 | − | 22.6166i |