Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(20,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([25, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.bm (of order \(54\), degree \(18\), 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(1260\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 104.21 | ||
Character | \(\chi\) | \(=\) | 567.104 |
Dual form | 567.2.bm.a.398.21 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19184 | − | 0.887291i | −0.842757 | − | 0.627409i | 0.0867434 | − | 0.996231i | \(-0.472354\pi\) |
−0.929500 | + | 0.368821i | \(0.879761\pi\) | |||||||
\(3\) | −0.856404 | + | 1.50551i | −0.494445 | + | 0.869209i | ||||
\(4\) | 0.0595871 | + | 0.199035i | 0.0297936 | + | 0.0995175i | ||||
\(5\) | 3.59255 | + | 2.36286i | 1.60664 | + | 1.05670i | 0.954332 | + | 0.298747i | \(0.0965688\pi\) |
0.652306 | + | 0.757955i | \(0.273802\pi\) | |||||||
\(6\) | 2.35652 | − | 1.03445i | 0.962047 | − | 0.422312i | ||||
\(7\) | 0.605732 | − | 2.57548i | 0.228945 | − | 0.973439i | ||||
\(8\) | −0.910801 | + | 2.50240i | −0.322017 | + | 0.884733i | ||||
\(9\) | −1.53314 | − | 2.57866i | −0.511048 | − | 0.859552i | ||||
\(10\) | −2.18520 | − | 6.00378i | −0.691021 | − | 1.89856i | ||||
\(11\) | 2.45431 | − | 4.88694i | 0.740003 | − | 1.47347i | −0.135768 | − | 0.990741i | \(-0.543350\pi\) |
0.875771 | − | 0.482726i | \(-0.160353\pi\) | |||||||
\(12\) | −0.350681 | − | 0.0807450i | −0.101233 | − | 0.0233091i | ||||
\(13\) | −0.235928 | − | 0.101769i | −0.0654346 | − | 0.0282257i | 0.363111 | − | 0.931746i | \(-0.381715\pi\) |
−0.428546 | + | 0.903520i | \(0.640974\pi\) | |||||||
\(14\) | −3.00713 | + | 2.53209i | −0.803690 | + | 0.676730i | ||||
\(15\) | −6.63399 | + | 3.38508i | −1.71289 | + | 0.874023i | ||||
\(16\) | 3.65305 | − | 2.40265i | 0.913264 | − | 0.600663i | ||||
\(17\) | 0.337325 | + | 0.283049i | 0.0818132 | + | 0.0686495i | 0.682777 | − | 0.730627i | \(-0.260772\pi\) |
−0.600964 | + | 0.799276i | \(0.705216\pi\) | |||||||
\(18\) | −0.460757 | + | 4.43369i | −0.108601 | + | 1.04503i | ||||
\(19\) | −1.78112 | − | 2.12266i | −0.408617 | − | 0.486971i | 0.522010 | − | 0.852939i | \(-0.325182\pi\) |
−0.930627 | + | 0.365968i | \(0.880738\pi\) | |||||||
\(20\) | −0.256222 | + | 0.855840i | −0.0572929 | + | 0.191372i | ||||
\(21\) | 3.35867 | + | 3.11759i | 0.732921 | + | 0.680313i | ||||
\(22\) | −7.26128 | + | 3.64675i | −1.54811 | + | 0.777490i | ||||
\(23\) | 1.40297 | + | 1.32363i | 0.292539 | + | 0.275996i | 0.818493 | − | 0.574517i | \(-0.194810\pi\) |
−0.525954 | + | 0.850513i | \(0.676292\pi\) | |||||||
\(24\) | −2.98739 | − | 3.51429i | −0.609799 | − | 0.717352i | ||||
\(25\) | 5.34293 | + | 12.3863i | 1.06859 | + | 2.47726i | ||||
\(26\) | 0.190889 | + | 0.330629i | 0.0374364 | + | 0.0648417i | ||||
\(27\) | 5.19519 | − | 0.0997999i | 0.999816 | − | 0.0192065i | ||||
\(28\) | 0.548704 | − | 0.0329036i | 0.103695 | − | 0.00621820i | ||||
\(29\) | 0.952584 | − | 8.14987i | 0.176890 | − | 1.51339i | −0.554931 | − | 0.831897i | \(-0.687255\pi\) |
0.731821 | − | 0.681497i | \(-0.238671\pi\) | |||||||
\(30\) | 10.9102 | + | 1.85182i | 1.99192 | + | 0.338094i | ||||
\(31\) | −0.260243 | + | 1.09805i | −0.0467411 | + | 0.197216i | −0.991406 | − | 0.130821i | \(-0.958239\pi\) |
0.944665 | + | 0.328037i | \(0.106387\pi\) | |||||||
\(32\) | −1.16870 | − | 0.0680693i | −0.206600 | − | 0.0120331i | ||||
\(33\) | 5.25547 | + | 7.88019i | 0.914860 | + | 1.37177i | ||||
\(34\) | −0.150890 | − | 0.636654i | −0.0258774 | − | 0.109185i | ||||
\(35\) | 8.26162 | − | 7.82128i | 1.39647 | − | 1.32204i | ||||
\(36\) | 0.421887 | − | 0.458804i | 0.0703145 | − | 0.0764673i | ||||
\(37\) | −1.43462 | + | 8.13616i | −0.235851 | + | 1.33758i | 0.604964 | + | 0.796253i | \(0.293188\pi\) |
−0.840814 | + | 0.541323i | \(0.817923\pi\) | |||||||
\(38\) | 0.239394 | + | 4.11024i | 0.0388349 | + | 0.666769i | ||||
\(39\) | 0.355265 | − | 0.268037i | 0.0568879 | − | 0.0429203i | ||||
\(40\) | −9.18493 | + | 6.83793i | −1.45226 | + | 1.08117i | ||||
\(41\) | 0.437357 | + | 0.587473i | 0.0683037 | + | 0.0917478i | 0.834962 | − | 0.550307i | \(-0.185489\pi\) |
−0.766658 | + | 0.642055i | \(0.778082\pi\) | |||||||
\(42\) | −1.23678 | − | 6.69577i | −0.190840 | − | 1.03318i | ||||
\(43\) | −0.563597 | − | 9.67659i | −0.0859478 | − | 1.47567i | −0.715448 | − | 0.698666i | \(-0.753777\pi\) |
0.629500 | − | 0.777000i | \(-0.283260\pi\) | |||||||
\(44\) | 1.11892 | + | 0.197295i | 0.168683 | + | 0.0297434i | ||||
\(45\) | 0.585097 | − | 12.8866i | 0.0872212 | − | 1.92102i | ||||
\(46\) | −0.497664 | − | 2.82239i | −0.0733766 | − | 0.416139i | ||||
\(47\) | 11.0662 | − | 2.62274i | 1.61417 | − | 0.382566i | 0.678267 | − | 0.734816i | \(-0.262731\pi\) |
0.935906 | + | 0.352249i | \(0.114583\pi\) | |||||||
\(48\) | 0.488736 | + | 7.55736i | 0.0705429 | + | 1.09081i | ||||
\(49\) | −6.26618 | − | 3.12010i | −0.895168 | − | 0.445728i | ||||
\(50\) | 4.62235 | − | 19.5032i | 0.653699 | − | 2.75817i | ||||
\(51\) | −0.715020 | + | 0.265443i | −0.100123 | + | 0.0371694i | ||||
\(52\) | 0.00619738 | − | 0.0530220i | 0.000859422 | − | 0.00735283i | ||||
\(53\) | 1.45772 | + | 0.841616i | 0.200234 | + | 0.115605i | 0.596764 | − | 0.802416i | \(-0.296453\pi\) |
−0.396531 | + | 0.918021i | \(0.629786\pi\) | |||||||
\(54\) | −6.28038 | − | 4.49070i | −0.854652 | − | 0.611107i | ||||
\(55\) | 20.3644 | − | 11.7574i | 2.74593 | − | 1.58537i | ||||
\(56\) | 5.89319 | + | 3.86153i | 0.787510 | + | 0.516019i | ||||
\(57\) | 4.72105 | − | 0.863651i | 0.625319 | − | 0.114393i | ||||
\(58\) | −8.36663 | + | 8.86811i | −1.09859 | + | 1.16444i | ||||
\(59\) | 1.65070 | − | 0.829011i | 0.214902 | − | 0.107928i | −0.338092 | − | 0.941113i | \(-0.609781\pi\) |
0.552994 | + | 0.833185i | \(0.313485\pi\) | |||||||
\(60\) | −1.06905 | − | 1.11869i | −0.138014 | − | 0.144422i | ||||
\(61\) | 4.15069 | + | 1.24263i | 0.531441 | + | 0.159103i | 0.541270 | − | 0.840849i | \(-0.317944\pi\) |
−0.00982923 | + | 0.999952i | \(0.503129\pi\) | |||||||
\(62\) | 1.28446 | − | 1.07779i | 0.163127 | − | 0.136879i | ||||
\(63\) | −7.56995 | + | 2.38661i | −0.953724 | + | 0.300684i | ||||
\(64\) | −5.36634 | − | 4.50289i | −0.670792 | − | 0.562861i | ||||
\(65\) | −0.607116 | − | 0.923076i | −0.0753035 | − | 0.114493i | ||||
\(66\) | 0.728352 | − | 14.0550i | 0.0896539 | − | 1.73006i | ||||
\(67\) | 7.26584 | − | 0.849255i | 0.887664 | − | 0.103753i | 0.339974 | − | 0.940435i | \(-0.389582\pi\) |
0.547690 | + | 0.836682i | \(0.315508\pi\) | |||||||
\(68\) | −0.0362364 | + | 0.0840055i | −0.00439431 | + | 0.0101872i | ||||
\(69\) | −3.19425 | + | 0.978624i | −0.384543 | + | 0.117812i | ||||
\(70\) | −16.7863 | + | 1.99125i | −2.00634 | + | 0.238000i | ||||
\(71\) | 2.79764 | + | 7.68645i | 0.332019 | + | 0.912214i | 0.987586 | + | 0.157078i | \(0.0502073\pi\) |
−0.655567 | + | 0.755137i | \(0.727571\pi\) | |||||||
\(72\) | 7.84923 | − | 1.48791i | 0.925041 | − | 0.175351i | ||||
\(73\) | −1.13257 | + | 3.11170i | −0.132557 | + | 0.364197i | −0.988158 | − | 0.153438i | \(-0.950965\pi\) |
0.855601 | + | 0.517636i | \(0.173188\pi\) | |||||||
\(74\) | 8.92898 | − | 8.42406i | 1.03797 | − | 0.979277i | ||||
\(75\) | −23.2235 | − | 2.56382i | −2.68162 | − | 0.296045i | ||||
\(76\) | 0.316351 | − | 0.480989i | 0.0362880 | − | 0.0551732i | ||||
\(77\) | −11.0995 | − | 9.28120i | −1.26491 | − | 1.05769i | ||||
\(78\) | −0.661245 | + | 0.00423372i | −0.0748712 | + | 0.000479374i | ||||
\(79\) | −5.64520 | + | 7.58282i | −0.635135 | + | 0.853134i | −0.996863 | − | 0.0791498i | \(-0.974779\pi\) |
0.361728 | + | 0.932284i | \(0.382187\pi\) | |||||||
\(80\) | 18.8009 | 2.10201 | ||||||||
\(81\) | −4.29893 | + | 7.90691i | −0.477659 | + | 0.878545i | ||||
\(82\) | − | 1.08824i | − | 0.120175i | ||||||
\(83\) | 1.31086 | − | 1.76079i | 0.143886 | − | 0.193272i | −0.724338 | − | 0.689445i | \(-0.757854\pi\) |
0.868224 | + | 0.496173i | \(0.165262\pi\) | |||||||
\(84\) | −0.420375 | + | 0.854260i | −0.0458667 | + | 0.0932074i | ||||
\(85\) | 0.543052 | + | 1.81392i | 0.0589022 | + | 0.196747i | ||||
\(86\) | −7.91423 | + | 12.0330i | −0.853413 | + | 1.29755i | ||||
\(87\) | 11.4540 | + | 8.41371i | 1.22799 | + | 0.902044i | ||||
\(88\) | 9.99370 | + | 10.5927i | 1.06533 | + | 1.12919i | ||||
\(89\) | 8.87493 | + | 3.23021i | 0.940741 | + | 0.342402i | 0.766458 | − | 0.642294i | \(-0.222017\pi\) |
0.174283 | + | 0.984696i | \(0.444239\pi\) | |||||||
\(90\) | −12.1315 | + | 14.8395i | −1.27877 | + | 1.56423i | ||||
\(91\) | −0.405014 | + | 0.545982i | −0.0424570 | + | 0.0572345i | ||||
\(92\) | −0.179850 | + | 0.358111i | −0.0187507 | + | 0.0373356i | ||||
\(93\) | −1.43026 | − | 1.33218i | −0.148311 | − | 0.138140i | ||||
\(94\) | −15.5163 | − | 6.69307i | −1.60038 | − | 0.690337i | ||||
\(95\) | −1.38323 | − | 11.8343i | −0.141917 | − | 1.21417i | ||||
\(96\) | 1.10336 | − | 1.70121i | 0.112611 | − | 0.173629i | ||||
\(97\) | −8.56539 | − | 13.0230i | −0.869683 | − | 1.32229i | −0.945652 | − | 0.325179i | \(-0.894575\pi\) |
0.0759691 | − | 0.997110i | \(-0.475795\pi\) | |||||||
\(98\) | 4.69984 | + | 9.27857i | 0.474755 | + | 0.937278i | ||||
\(99\) | −16.3645 | + | 1.16356i | −1.64470 | + | 0.116942i | ||||
\(100\) | −2.14694 | + | 1.80150i | −0.214694 | + | 0.180150i | ||||
\(101\) | −0.613350 | + | 2.04873i | −0.0610306 | + | 0.203856i | −0.983067 | − | 0.183247i | \(-0.941339\pi\) |
0.922036 | + | 0.387103i | \(0.126524\pi\) | |||||||
\(102\) | 1.08771 | + | 0.318066i | 0.107700 | + | 0.0314932i | ||||
\(103\) | 7.94591 | + | 15.8216i | 0.782934 | + | 1.55895i | 0.828501 | + | 0.559988i | \(0.189194\pi\) |
−0.0455666 | + | 0.998961i | \(0.514509\pi\) | |||||||
\(104\) | 0.469551 | − | 0.497695i | 0.0460433 | − | 0.0488030i | ||||
\(105\) | 4.69977 | + | 19.1362i | 0.458651 | + | 1.86750i | ||||
\(106\) | −0.990611 | − | 2.29649i | −0.0962166 | − | 0.223055i | ||||
\(107\) | −9.53549 | + | 5.50532i | −0.921831 | + | 0.532219i | −0.884219 | − | 0.467073i | \(-0.845308\pi\) |
−0.0376121 | + | 0.999292i | \(0.511975\pi\) | |||||||
\(108\) | 0.329430 | + | 1.02808i | 0.0316995 | + | 0.0989269i | ||||
\(109\) | −2.42785 | + | 4.20516i | −0.232546 | + | 0.402781i | −0.958557 | − | 0.284902i | \(-0.908039\pi\) |
0.726011 | + | 0.687683i | \(0.241372\pi\) | |||||||
\(110\) | −34.7033 | − | 4.05623i | −3.30883 | − | 0.386747i | ||||
\(111\) | −11.0205 | − | 9.12769i | −1.04602 | − | 0.866362i | ||||
\(112\) | −3.97521 | − | 10.8637i | −0.375622 | − | 1.02653i | ||||
\(113\) | −0.130298 | − | 0.00758897i | −0.0122574 | − | 0.000713910i | 0.0520150 | − | 0.998646i | \(-0.483436\pi\) |
−0.0642724 | + | 0.997932i | \(0.520473\pi\) | |||||||
\(114\) | −6.39304 | − | 3.15961i | −0.598763 | − | 0.295925i | ||||
\(115\) | 1.91268 | + | 8.07023i | 0.178358 | + | 0.752553i | ||||
\(116\) | 1.67887 | − | 0.296030i | 0.155879 | − | 0.0274857i | ||||
\(117\) | 0.0992834 | + | 0.764404i | 0.00917875 | + | 0.0706691i | ||||
\(118\) | −2.70294 | − | 0.476601i | −0.248826 | − | 0.0438747i | ||||
\(119\) | 0.933315 | − | 0.697320i | 0.0855568 | − | 0.0639233i | ||||
\(120\) | −2.42858 | − | 19.6841i | −0.221698 | − | 1.79690i | ||||
\(121\) | −11.2898 | − | 15.1648i | −1.02634 | − | 1.37862i | ||||
\(122\) | −3.84437 | − | 5.16388i | −0.348053 | − | 0.467516i | ||||
\(123\) | −1.25900 | + | 0.155334i | −0.113520 | + | 0.0140060i | ||||
\(124\) | −0.234058 | + | 0.0136323i | −0.0210190 | + | 0.00122422i | ||||
\(125\) | −6.33895 | + | 35.9500i | −0.566973 | + | 3.21546i | ||||
\(126\) | 11.1398 | + | 3.87229i | 0.992409 | + | 0.344971i | ||||
\(127\) | −1.23788 | − | 7.02035i | −0.109844 | − | 0.622955i | −0.989175 | − | 0.146744i | \(-0.953121\pi\) |
0.879331 | − | 0.476211i | \(-0.157990\pi\) | |||||||
\(128\) | 2.94039 | + | 12.4065i | 0.259896 | + | 1.09659i | ||||
\(129\) | 15.0509 | + | 7.43856i | 1.32516 | + | 0.654929i | ||||
\(130\) | −0.0954519 | + | 1.63885i | −0.00837169 | + | 0.143736i | ||||
\(131\) | −0.755815 | − | 0.179131i | −0.0660359 | − | 0.0156508i | 0.197465 | − | 0.980310i | \(-0.436729\pi\) |
−0.263501 | + | 0.964659i | \(0.584877\pi\) | |||||||
\(132\) | −1.25528 | + | 1.51558i | −0.109258 | + | 0.131914i | ||||
\(133\) | −6.54574 | + | 3.30148i | −0.567588 | + | 0.286275i | ||||
\(134\) | −9.41325 | − | 5.43474i | −0.813181 | − | 0.469490i | ||||
\(135\) | 18.8998 | + | 11.9170i | 1.62664 | + | 1.02565i | ||||
\(136\) | −1.01554 | + | 0.586321i | −0.0870817 | + | 0.0502766i | ||||
\(137\) | −4.79058 | + | 2.06645i | −0.409287 | + | 0.176549i | −0.590761 | − | 0.806847i | \(-0.701172\pi\) |
0.181474 | + | 0.983396i | \(0.441913\pi\) | |||||||
\(138\) | 4.67536 | + | 1.66787i | 0.397993 | + | 0.141978i | ||||
\(139\) | 2.18353 | + | 2.06005i | 0.185204 | + | 0.174731i | 0.773260 | − | 0.634089i | \(-0.218625\pi\) |
−0.588056 | + | 0.808821i | \(0.700106\pi\) | |||||||
\(140\) | 2.04899 | + | 1.17830i | 0.173172 | + | 0.0995847i | ||||
\(141\) | −5.52858 | + | 18.9065i | −0.465590 | + | 1.59221i | ||||
\(142\) | 3.48578 | − | 11.6433i | 0.292520 | − | 0.977086i | ||||
\(143\) | −1.07638 | + | 0.903191i | −0.0900115 | + | 0.0755286i | ||||
\(144\) | −11.7963 | − | 5.73636i | −0.983023 | − | 0.478030i | ||||
\(145\) | 22.6792 | − | 27.0280i | 1.88341 | − | 2.24456i | ||||
\(146\) | 4.11082 | − | 2.70373i | 0.340214 | − | 0.223762i | ||||
\(147\) | 10.0637 | − | 6.76175i | 0.830043 | − | 0.557700i | ||||
\(148\) | −1.70487 | + | 0.199270i | −0.140139 | + | 0.0163799i | ||||
\(149\) | 9.43975 | + | 4.07191i | 0.773334 | + | 0.333584i | 0.745916 | − | 0.666040i | \(-0.232012\pi\) |
0.0274183 | + | 0.999624i | \(0.491271\pi\) | |||||||
\(150\) | 25.4038 | + | 23.6616i | 2.07421 | + | 1.93196i | ||||
\(151\) | −18.0094 | − | 9.04466i | −1.46558 | − | 0.736044i | −0.475925 | − | 0.879486i | \(-0.657887\pi\) |
−0.989659 | + | 0.143442i | \(0.954183\pi\) | |||||||
\(152\) | 6.93400 | − | 2.52377i | 0.562421 | − | 0.204705i | ||||
\(153\) | 0.212718 | − | 1.30380i | 0.0171973 | − | 0.105406i | ||||
\(154\) | 4.99374 | + | 20.9102i | 0.402407 | + | 1.68499i | ||||
\(155\) | −3.52948 | + | 3.32989i | −0.283495 | + | 0.267463i | ||||
\(156\) | 0.0745179 | + | 0.0547385i | 0.00596621 | + | 0.00438259i | ||||
\(157\) | −4.37027 | + | 6.64467i | −0.348785 | + | 0.530302i | −0.966690 | − | 0.255951i | \(-0.917611\pi\) |
0.617904 | + | 0.786253i | \(0.287982\pi\) | |||||||
\(158\) | 13.4563 | − | 4.02856i | 1.07053 | − | 0.320495i | ||||
\(159\) | −2.51546 | + | 1.47386i | −0.199489 | + | 0.116885i | ||||
\(160\) | −4.03780 | − | 3.00603i | −0.319216 | − | 0.237647i | ||||
\(161\) | 4.25881 | − | 2.81155i | 0.335641 | − | 0.221581i | ||||
\(162\) | 12.1394 | − | 5.60935i | 0.953758 | − | 0.440712i | ||||
\(163\) | 12.4034 | 0.971507 | 0.485753 | − | 0.874096i | \(-0.338545\pi\) | ||||
0.485753 | + | 0.874096i | \(0.338545\pi\) | |||||||
\(164\) | −0.0908667 | + | 0.122055i | −0.00709550 | + | 0.00953091i | ||||
\(165\) | 0.260767 | + | 40.7279i | 0.0203007 | + | 3.17067i | ||||
\(166\) | −3.12467 | + | 0.935464i | −0.242521 | + | 0.0726061i | ||||
\(167\) | 3.11676 | + | 2.04993i | 0.241182 | + | 0.158628i | 0.664346 | − | 0.747425i | \(-0.268710\pi\) |
−0.423164 | + | 0.906053i | \(0.639080\pi\) | |||||||
\(168\) | −10.8605 | + | 5.56524i | −0.837909 | + | 0.429368i | ||||
\(169\) | −8.87584 | − | 9.40784i | −0.682757 | − | 0.723680i | ||||
\(170\) | 0.962244 | − | 2.64374i | 0.0738007 | − | 0.202766i | ||||
\(171\) | −2.74289 | + | 7.84724i | −0.209754 | + | 0.600094i | ||||
\(172\) | 1.89240 | − | 0.688776i | 0.144294 | − | 0.0525187i | ||||
\(173\) | −11.9664 | − | 6.00973i | −0.909786 | − | 0.456912i | −0.0685916 | − | 0.997645i | \(-0.521851\pi\) |
−0.841194 | + | 0.540733i | \(0.818147\pi\) | |||||||
\(174\) | −6.18585 | − | 20.1908i | −0.468948 | − | 1.53066i | ||||
\(175\) | 35.1371 | − | 6.25783i | 2.65611 | − | 0.473047i | ||||
\(176\) | −2.77587 | − | 23.7491i | −0.209239 | − | 1.79016i | ||||
\(177\) | −0.165575 | + | 3.19512i | −0.0124454 | + | 0.240160i | ||||
\(178\) | −7.71135 | − | 11.7245i | −0.577990 | − | 0.878791i | ||||
\(179\) | 5.89420 | − | 7.02444i | 0.440554 | − | 0.525031i | −0.499383 | − | 0.866382i | \(-0.666440\pi\) |
0.939936 | + | 0.341350i | \(0.110884\pi\) | |||||||
\(180\) | 2.59974 | − | 0.651419i | 0.193773 | − | 0.0485539i | ||||
\(181\) | 3.30346 | + | 3.93691i | 0.245545 | + | 0.292629i | 0.874714 | − | 0.484640i | \(-0.161049\pi\) |
−0.629169 | + | 0.777268i | \(0.716605\pi\) | |||||||
\(182\) | 0.967155 | − | 0.291357i | 0.0716903 | − | 0.0215968i | ||||
\(183\) | −5.42547 | + | 5.18472i | −0.401062 | + | 0.383266i | ||||
\(184\) | −4.59008 | + | 2.30523i | −0.338386 | + | 0.169944i | ||||
\(185\) | −24.3786 | + | 25.8398i | −1.79235 | + | 1.89978i | ||||
\(186\) | 0.522611 | + | 2.85679i | 0.0383197 | + | 0.209470i | ||||
\(187\) | 2.21114 | − | 0.953794i | 0.161695 | − | 0.0697483i | ||||
\(188\) | 1.18142 | + | 2.04628i | 0.0861640 | + | 0.149240i | ||||
\(189\) | 2.88986 | − | 13.4406i | 0.210207 | − | 0.977657i | ||||
\(190\) | −8.85188 | + | 15.3319i | −0.642183 | + | 1.11229i | ||||
\(191\) | 0.476951 | − | 4.08057i | 0.0345109 | − | 0.295260i | −0.964950 | − | 0.262433i | \(-0.915475\pi\) |
0.999461 | − | 0.0328266i | \(-0.0104509\pi\) | |||||||
\(192\) | 11.3749 | − | 4.22280i | 0.820914 | − | 0.304754i | ||||
\(193\) | −6.24248 | − | 1.47949i | −0.449343 | − | 0.106496i | −0.000287325 | − | 1.00000i | \(-0.500091\pi\) |
−0.449056 | + | 0.893504i | \(0.648240\pi\) | |||||||
\(194\) | −1.34666 | + | 23.1213i | −0.0966849 | + | 1.66002i | ||||
\(195\) | 1.90964 | − | 0.123497i | 0.136752 | − | 0.00884378i | ||||
\(196\) | 0.247625 | − | 1.43311i | 0.0176875 | − | 0.102365i | ||||
\(197\) | −13.8188 | + | 2.43662i | −0.984547 | + | 0.173602i | −0.642670 | − | 0.766143i | \(-0.722174\pi\) |
−0.341876 | + | 0.939745i | \(0.611062\pi\) | |||||||
\(198\) | 20.5363 | + | 13.1333i | 1.45945 | + | 0.933346i | ||||
\(199\) | −22.7131 | − | 4.00493i | −1.61009 | − | 0.283902i | −0.705026 | − | 0.709182i | \(-0.749065\pi\) |
−0.905062 | + | 0.425280i | \(0.860176\pi\) | |||||||
\(200\) | −35.8619 | + | 2.08872i | −2.53582 | + | 0.147695i | ||||
\(201\) | −4.94393 | + | 11.6661i | −0.348718 | + | 0.822866i | ||||
\(202\) | 2.54883 | − | 1.89754i | 0.179335 | − | 0.133510i | ||||
\(203\) | −20.4128 | − | 7.39000i | −1.43270 | − | 0.518676i | ||||
\(204\) | −0.0954384 | − | 0.126497i | −0.00668202 | − | 0.00885656i | ||||
\(205\) | 0.183114 | + | 3.14394i | 0.0127892 | + | 0.219582i | ||||
\(206\) | 4.56813 | − | 25.9071i | 0.318276 | − | 1.80504i | ||||
\(207\) | 1.26224 | − | 5.64709i | 0.0877316 | − | 0.392500i | ||||
\(208\) | −1.10637 | + | 0.195083i | −0.0767132 | + | 0.0135266i | ||||
\(209\) | −14.7447 | + | 3.49456i | −1.01991 | + | 0.241724i | ||||
\(210\) | 11.3780 | − | 26.9773i | 0.785154 | − | 1.86161i | ||||
\(211\) | 0.630344 | − | 10.8226i | 0.0433947 | − | 0.745058i | −0.904500 | − | 0.426474i | \(-0.859756\pi\) |
0.947895 | − | 0.318584i | \(-0.103207\pi\) | |||||||
\(212\) | −0.0806495 | + | 0.340287i | −0.00553903 | + | 0.0233710i | ||||
\(213\) | −13.9680 | − | 2.37082i | −0.957070 | − | 0.162446i | ||||
\(214\) | 16.2496 | + | 1.89930i | 1.11080 | + | 0.129834i | ||||
\(215\) | 20.8397 | − | 36.0954i | 1.42125 | − | 2.46168i | ||||
\(216\) | −4.48205 | + | 13.0914i | −0.304965 | + | 0.890755i | ||||
\(217\) | 2.67037 | + | 1.33538i | 0.181277 | + | 0.0906512i | ||||
\(218\) | 6.62480 | − | 2.85766i | 0.448688 | − | 0.193545i | ||||
\(219\) | −3.71478 | − | 4.36997i | −0.251022 | − | 0.295295i | ||||
\(220\) | 3.55359 | + | 3.35264i | 0.239583 | + | 0.226035i | ||||
\(221\) | −0.0507785 | − | 0.101108i | −0.00341573 | − | 0.00680129i | ||||
\(222\) | 5.03572 | + | 20.6571i | 0.337976 | + | 1.38641i | ||||
\(223\) | −21.3233 | − | 6.38378i | −1.42791 | − | 0.427490i | −0.522726 | − | 0.852501i | \(-0.675085\pi\) |
−0.905188 | + | 0.425011i | \(0.860270\pi\) | |||||||
\(224\) | −0.883233 | + | 2.96874i | −0.0590135 | + | 0.198357i | ||||
\(225\) | 23.7486 | − | 32.7676i | 1.58324 | − | 2.18451i | ||||
\(226\) | 0.148560 | + | 0.124657i | 0.00988207 | + | 0.00829204i | ||||
\(227\) | −7.52598 | + | 4.94992i | −0.499517 | + | 0.328537i | −0.774140 | − | 0.633015i | \(-0.781817\pi\) |
0.274623 | + | 0.961552i | \(0.411447\pi\) | |||||||
\(228\) | 0.453211 | + | 0.888192i | 0.0300146 | + | 0.0588219i | ||||
\(229\) | 0.610256 | + | 5.22108i | 0.0403269 | + | 0.345018i | 0.998306 | + | 0.0581807i | \(0.0185300\pi\) |
−0.957979 | + | 0.286838i | \(0.907396\pi\) | |||||||
\(230\) | 4.88104 | − | 11.3155i | 0.321846 | − | 0.746123i | ||||
\(231\) | 23.4787 | − | 8.76206i | 1.54478 | − | 0.576502i | ||||
\(232\) | 19.5267 | + | 9.80666i | 1.28199 | + | 0.643839i | ||||
\(233\) | 1.97343 | + | 5.42195i | 0.129284 | + | 0.355204i | 0.987398 | − | 0.158254i | \(-0.0505865\pi\) |
−0.858115 | + | 0.513458i | \(0.828364\pi\) | |||||||
\(234\) | 0.559918 | − | 0.999139i | 0.0366030 | − | 0.0653157i | ||||
\(235\) | 45.9531 | + | 16.7256i | 2.99765 | + | 1.09106i | ||||
\(236\) | 0.263363 | + | 0.279148i | 0.0171434 | + | 0.0181710i | ||||
\(237\) | −6.58147 | − | 14.9929i | −0.427512 | − | 0.973892i | ||||
\(238\) | −1.73109 | + | 0.00297172i | −0.112210 | + | 0.000192628i | ||||
\(239\) | −26.0617 | + | 7.80235i | −1.68579 | + | 0.504692i | −0.979194 | − | 0.202927i | \(-0.934955\pi\) |
−0.706594 | + | 0.707619i | \(0.749769\pi\) | |||||||
\(240\) | −16.1012 | + | 28.3050i | −1.03933 | + | 1.82708i | ||||
\(241\) | 6.64929 | + | 4.95021i | 0.428318 | + | 0.318871i | 0.789640 | − | 0.613570i | \(-0.210267\pi\) |
−0.361322 | + | 0.932441i | \(0.617675\pi\) | |||||||
\(242\) | 28.0913i | 1.80578i | ||||||||
\(243\) | −8.22233 | − | 13.2436i | −0.527463 | − | 0.849578i | ||||
\(244\) | 0.900177i | 0.0576279i | ||||||||
\(245\) | −15.1392 | − | 26.0152i | −0.967209 | − | 1.66205i | ||||
\(246\) | 1.63835 | + | 0.931969i | 0.104458 | + | 0.0594202i | ||||
\(247\) | 0.204195 | + | 0.682058i | 0.0129926 | + | 0.0433983i | ||||
\(248\) | −2.51074 | − | 1.65134i | −0.159432 | − | 0.104860i | ||||
\(249\) | 1.52827 | + | 3.48147i | 0.0968502 | + | 0.220629i | ||||
\(250\) | 39.4531 | − | 37.2221i | 2.49523 | − | 2.35413i | ||||
\(251\) | −9.69307 | − | 3.52799i | −0.611821 | − | 0.222685i | 0.0174789 | − | 0.999847i | \(-0.494436\pi\) |
−0.629300 | + | 0.777163i | \(0.716658\pi\) | |||||||
\(252\) | −0.926090 | − | 1.36447i | −0.0583382 | − | 0.0859537i | ||||
\(253\) | 9.91182 | − | 3.60761i | 0.623151 | − | 0.226808i | ||||
\(254\) | −4.75374 | + | 9.46547i | −0.298276 | + | 0.593917i | ||||
\(255\) | −3.19595 | − | 0.735875i | −0.200138 | − | 0.0460823i | ||||
\(256\) | 1.95440 | − | 4.53082i | 0.122150 | − | 0.283176i | ||||
\(257\) | 15.1571 | − | 1.77161i | 0.945475 | − | 0.110510i | 0.370638 | − | 0.928778i | \(-0.379139\pi\) |
0.574838 | + | 0.818267i | \(0.305065\pi\) | |||||||
\(258\) | −11.3381 | − | 22.2201i | −0.705878 | − | 1.38336i | ||||
\(259\) | 20.0855 | + | 8.62318i | 1.24805 | + | 0.535818i | ||||
\(260\) | 0.147548 | − | 0.175841i | 0.00915054 | − | 0.0109052i | ||||
\(261\) | −22.4762 | + | 10.0386i | −1.39124 | + | 0.621371i | ||||
\(262\) | 0.741867 | + | 0.884123i | 0.0458327 | + | 0.0546213i | ||||
\(263\) | 20.5709 | + | 6.15852i | 1.26846 | + | 0.379751i | 0.849178 | − | 0.528108i | \(-0.177098\pi\) |
0.419278 | + | 0.907858i | \(0.362283\pi\) | |||||||
\(264\) | −24.5061 | + | 5.97402i | −1.50825 | + | 0.367676i | ||||
\(265\) | 3.24832 | + | 6.46794i | 0.199543 | + | 0.397323i | ||||
\(266\) | 10.7308 | + | 1.87315i | 0.657950 | + | 0.114850i | ||||
\(267\) | −12.4637 | + | 10.5950i | −0.762763 | + | 0.648402i | ||||
\(268\) | 0.601982 | + | 1.39555i | 0.0367719 | + | 0.0852469i | ||||
\(269\) | 12.2292 | + | 21.1815i | 0.745625 | + | 1.29146i | 0.949902 | + | 0.312547i | \(0.101182\pi\) |
−0.204277 | + | 0.978913i | \(0.565484\pi\) | |||||||
\(270\) | −11.9517 | − | 30.9727i | −0.727358 | − | 1.88494i | ||||
\(271\) | −11.5148 | − | 6.64806i | −0.699473 | − | 0.403841i | 0.107678 | − | 0.994186i | \(-0.465658\pi\) |
−0.807151 | + | 0.590345i | \(0.798992\pi\) | |||||||
\(272\) | 1.91233 | + | 0.223520i | 0.115952 | + | 0.0135529i | ||||
\(273\) | −0.475128 | − | 1.07733i | −0.0287561 | − | 0.0652033i | ||||
\(274\) | 7.54314 | + | 1.78776i | 0.455698 | + | 0.108002i | ||||
\(275\) | 73.6444 | + | 4.28930i | 4.44092 | + | 0.258654i | ||||
\(276\) | −0.385117 | − | 0.577454i | −0.0231813 | − | 0.0347587i | ||||
\(277\) | −16.2034 | + | 3.84027i | −0.973566 | + | 0.230739i | −0.686467 | − | 0.727161i | \(-0.740839\pi\) |
−0.287100 | + | 0.957901i | \(0.592691\pi\) | |||||||
\(278\) | −0.774546 | − | 4.39267i | −0.0464542 | − | 0.263455i | ||||
\(279\) | 3.23049 | − | 1.01240i | 0.193404 | − | 0.0606105i | ||||
\(280\) | 12.0473 | + | 27.7975i | 0.719965 | + | 1.66122i | ||||
\(281\) | −11.5568 | + | 0.673108i | −0.689422 | + | 0.0401543i | −0.399280 | − | 0.916829i | \(-0.630740\pi\) |
−0.290142 | + | 0.956983i | \(0.593703\pi\) | |||||||
\(282\) | 23.3647 | − | 17.6280i | 1.39135 | − | 1.04973i | ||||
\(283\) | 3.33717 | − | 2.48443i | 0.198374 | − | 0.147684i | −0.493388 | − | 0.869809i | \(-0.664242\pi\) |
0.691763 | + | 0.722125i | \(0.256834\pi\) | |||||||
\(284\) | −1.36317 | + | 1.01484i | −0.0808892 | + | 0.0602198i | ||||
\(285\) | 19.0013 | + | 8.05247i | 1.12554 | + | 0.476987i | ||||
\(286\) | 2.08426 | − | 0.121395i | 0.123245 | − | 0.00717821i | ||||
\(287\) | 1.77794 | − | 0.770553i | 0.104949 | − | 0.0454843i | ||||
\(288\) | 1.61627 | + | 3.11805i | 0.0952394 | + | 0.183733i | ||||
\(289\) | −2.91835 | − | 16.5508i | −0.171668 | − | 0.973575i | ||||
\(290\) | −51.0117 | + | 12.0900i | −2.99551 | + | 0.709949i | ||||
\(291\) | 26.9418 | − | 1.74233i | 1.57936 | − | 0.102137i | ||||
\(292\) | −0.686824 | − | 0.0400030i | −0.0401934 | − | 0.00234100i | ||||
\(293\) | 23.1978 | + | 5.49798i | 1.35523 | + | 0.321195i | 0.843121 | − | 0.537725i | \(-0.180716\pi\) |
0.512110 | + | 0.858920i | \(0.328864\pi\) | |||||||
\(294\) | −17.9940 | − | 0.870538i | −1.04943 | − | 0.0507708i | ||||
\(295\) | 7.88905 | + | 0.922098i | 0.459318 | + | 0.0536866i | ||||
\(296\) | −19.0533 | − | 11.0004i | −1.10745 | − | 0.639387i | ||||
\(297\) | 12.2629 | − | 25.6335i | 0.711566 | − | 1.48741i | ||||
\(298\) | −7.63768 | − | 13.2289i | −0.442439 | − | 0.766327i | ||||
\(299\) | −0.196294 | − | 0.455060i | −0.0113520 | − | 0.0263168i | ||||
\(300\) | −0.873530 | − | 4.77505i | −0.0504333 | − | 0.275688i | ||||
\(301\) | −25.2632 | − | 4.40989i | −1.45615 | − | 0.254182i | ||||
\(302\) | 13.4390 | + | 26.7593i | 0.773330 | + | 1.53983i | ||||
\(303\) | −2.55912 | − | 2.67795i | −0.147017 | − | 0.153844i | ||||
\(304\) | −11.6065 | − | 3.47477i | −0.665681 | − | 0.199292i | ||||
\(305\) | 11.9754 | + | 14.2717i | 0.685709 | + | 0.817196i | ||||
\(306\) | −1.41037 | + | 1.36517i | −0.0806258 | + | 0.0780418i | ||||
\(307\) | −2.36057 | + | 2.81322i | −0.134725 | + | 0.160559i | −0.829189 | − | 0.558969i | \(-0.811197\pi\) |
0.694464 | + | 0.719528i | \(0.255642\pi\) | |||||||
\(308\) | 1.18589 | − | 2.76224i | 0.0675725 | − | 0.157393i | ||||
\(309\) | −30.6246 | − | 1.58701i | −1.74217 | − | 0.0902817i | ||||
\(310\) | 7.16115 | − | 0.837019i | 0.406726 | − | 0.0475395i | ||||
\(311\) | 12.8432 | − | 29.7738i | 0.728270 | − | 1.68832i | 0.00286625 | − | 0.999996i | \(-0.499088\pi\) |
0.725404 | − | 0.688324i | \(-0.241653\pi\) | |||||||
\(312\) | 0.347162 | + | 1.13314i | 0.0196542 | + | 0.0641516i | ||||
\(313\) | −1.74663 | + | 3.47782i | −0.0987253 | + | 0.196578i | −0.937574 | − | 0.347787i | \(-0.886933\pi\) |
0.838848 | + | 0.544365i | \(0.183229\pi\) | |||||||
\(314\) | 11.1044 | − | 4.04167i | 0.626658 | − | 0.228085i | ||||
\(315\) | −32.8347 | − | 9.31271i | −1.85002 | − | 0.524712i | ||||
\(316\) | −1.84563 | − | 0.671753i | −0.103825 | − | 0.0377891i | ||||
\(317\) | −8.68713 | + | 8.19589i | −0.487918 | + | 0.460327i | −0.890451 | − | 0.455078i | \(-0.849611\pi\) |
0.402533 | + | 0.915405i | \(0.368130\pi\) | |||||||
\(318\) | 4.30577 | + | 0.475348i | 0.241455 | + | 0.0266562i | ||||
\(319\) | −37.4900 | − | 24.6575i | −2.09904 | − | 1.38056i | ||||
\(320\) | −8.63915 | − | 28.8568i | −0.482943 | − | 1.61314i | ||||
\(321\) | −0.122102 | − | 19.0706i | −0.00681509 | − | 1.06442i | ||||
\(322\) | −7.57047 | − | 0.427891i | −0.421886 | − | 0.0238454i | ||||
\(323\) | − | 1.22017i | − | 0.0678920i | ||||||
\(324\) | −1.82991 | − | 0.384488i | −0.101662 | − | 0.0213604i | ||||
\(325\) | − | 3.46602i | − | 0.192260i | ||||||
\(326\) | −14.7828 | − | 11.0054i | −0.818744 | − | 0.609532i | ||||
\(327\) | −4.25171 | − | 7.25648i | −0.235120 | − | 0.401284i | ||||
\(328\) | −1.86844 | + | 0.559374i | −0.103167 | + | 0.0308863i | ||||
\(329\) | −0.0516539 | − | 30.0895i | −0.00284777 | − | 1.65889i | ||||
\(330\) | 35.8267 | − | 48.7725i | 1.97220 | − | 2.68484i | ||||
\(331\) | 4.33798 | + | 4.59799i | 0.238437 | + | 0.252728i | 0.835532 | − | 0.549442i | \(-0.185160\pi\) |
−0.597095 | + | 0.802171i | \(0.703678\pi\) | |||||||
\(332\) | 0.428569 | + | 0.155986i | 0.0235208 | + | 0.00856087i | ||||
\(333\) | 23.1798 | − | 8.77451i | 1.27025 | − | 0.480840i | ||||
\(334\) | −1.89580 | − | 5.20866i | −0.103733 | − | 0.285005i | ||||
\(335\) | 28.1096 | + | 14.1172i | 1.53579 | + | 0.771303i | ||||
\(336\) | 19.7599 | + | 3.31901i | 1.07799 | + | 0.181067i | ||||
\(337\) | 1.83747 | − | 4.25973i | 0.100093 | − | 0.232042i | −0.860810 | − | 0.508926i | \(-0.830043\pi\) |
0.960903 | + | 0.276884i | \(0.0893018\pi\) | |||||||
\(338\) | 2.23108 | + | 19.0881i | 0.121354 | + | 1.03825i | ||||
\(339\) | 0.123013 | − | 0.189666i | 0.00668113 | − | 0.0103012i | ||||
\(340\) | −0.328674 | + | 0.216172i | −0.0178249 | + | 0.0117236i | ||||
\(341\) | 4.72739 | + | 3.96676i | 0.256003 | + | 0.214812i | ||||
\(342\) | 10.2319 | − | 6.91890i | 0.553276 | − | 0.374132i | ||||
\(343\) | −11.8314 | + | 14.2485i | −0.638834 | + | 0.769345i | ||||
\(344\) | 24.7281 | + | 7.40310i | 1.33325 | + | 0.399148i | ||||
\(345\) | −13.7879 | − | 4.03181i | −0.742314 | − | 0.217065i | ||||
\(346\) | 8.92959 | + | 17.7803i | 0.480058 | + | 0.955873i | ||||
\(347\) | −0.688756 | − | 0.649808i | −0.0369744 | − | 0.0348835i | 0.667533 | − | 0.744580i | \(-0.267350\pi\) |
−0.704507 | + | 0.709697i | \(0.748832\pi\) | |||||||
\(348\) | −0.992114 | + | 2.78109i | −0.0531829 | + | 0.149082i | ||||
\(349\) | −21.5824 | + | 9.30973i | −1.15528 | + | 0.498339i | −0.885525 | − | 0.464591i | \(-0.846201\pi\) |
−0.269753 | + | 0.962930i | \(0.586942\pi\) | |||||||
\(350\) | −47.4302 | − | 23.7185i | −2.53525 | − | 1.26781i | ||||
\(351\) | −1.23585 | − | 0.505166i | −0.0659646 | − | 0.0269638i | ||||
\(352\) | −3.20102 | + | 5.54432i | −0.170615 | + | 0.295513i | ||||
\(353\) | 20.9582 | + | 2.44966i | 1.11549 | + | 0.130382i | 0.653807 | − | 0.756661i | \(-0.273171\pi\) |
0.461685 | + | 0.887044i | \(0.347245\pi\) | |||||||
\(354\) | 3.03234 | − | 3.66115i | 0.161167 | − | 0.194588i | ||||
\(355\) | −8.11134 | + | 34.2244i | −0.430505 | + | 1.81644i | ||||
\(356\) | −0.114093 | + | 1.95890i | −0.00604692 | + | 0.103822i | ||||
\(357\) | 0.250531 | + | 2.00231i | 0.0132595 | + | 0.105973i | ||||
\(358\) | −13.2577 | + | 3.14212i | −0.700689 | + | 0.166066i | ||||
\(359\) | 13.3763 | − | 2.35861i | 0.705976 | − | 0.124483i | 0.190878 | − | 0.981614i | \(-0.438867\pi\) |
0.515098 | + | 0.857131i | \(0.327755\pi\) | |||||||
\(360\) | 31.7145 | + | 13.2012i | 1.67150 | + | 0.695766i | ||||
\(361\) | 1.96603 | − | 11.1499i | 0.103475 | − | 0.586838i | ||||
\(362\) | −0.444007 | − | 7.62330i | −0.0233365 | − | 0.400672i | ||||
\(363\) | 32.4994 | − | 4.00972i | 1.70578 | − | 0.210456i | ||||
\(364\) | −0.132803 | − | 0.0480783i | −0.00696077 | − | 0.00251999i | ||||
\(365\) | −11.4213 | + | 8.50287i | −0.597820 | + | 0.445060i | ||||
\(366\) | 11.0666 | − | 1.36538i | 0.578462 | − | 0.0713696i | ||||
\(367\) | 18.1768 | − | 1.05868i | 0.948821 | − | 0.0552625i | 0.423251 | − | 0.906013i | \(-0.360889\pi\) |
0.525570 | + | 0.850750i | \(0.323852\pi\) | |||||||
\(368\) | 8.30534 | + | 1.46446i | 0.432946 | + | 0.0763400i | ||||
\(369\) | 0.844358 | − | 2.02847i | 0.0439555 | − | 0.105598i | ||||
\(370\) | 51.9827 | − | 9.16595i | 2.70245 | − | 0.476515i | ||||
\(371\) | 3.05055 | − | 3.24454i | 0.158377 | − | 0.168448i | ||||
\(372\) | 0.179924 | − | 0.364052i | 0.00932865 | − | 0.0188752i | ||||
\(373\) | −0.700948 | + | 12.0348i | −0.0362937 | + | 0.623139i | 0.930296 | + | 0.366810i | \(0.119550\pi\) |
−0.966590 | + | 0.256329i | \(0.917487\pi\) | |||||||
\(374\) | −3.48162 | − | 0.825158i | −0.180030 | − | 0.0426679i | ||||
\(375\) | −48.6945 | − | 40.3311i | −2.51457 | − | 2.08269i | ||||
\(376\) | −3.51596 | + | 30.0809i | −0.181322 | + | 1.55131i | ||||
\(377\) | −1.05415 | + | 1.82584i | −0.0542914 | + | 0.0940354i | ||||
\(378\) | −15.3699 | + | 13.4548i | −0.790544 | + | 0.692042i | ||||
\(379\) | 1.36124 | + | 2.35774i | 0.0699223 | + | 0.121109i | 0.898867 | − | 0.438222i | \(-0.144392\pi\) |
−0.828945 | + | 0.559331i | \(0.811058\pi\) | |||||||
\(380\) | 2.27302 | − | 0.980484i | 0.116603 | − | 0.0502977i | ||||
\(381\) | 11.6294 | + | 4.14861i | 0.595790 | + | 0.212540i | ||||
\(382\) | −4.18910 | + | 4.44019i | −0.214333 | + | 0.227180i | ||||
\(383\) | −23.9980 | + | 12.0523i | −1.22624 | + | 0.615842i | −0.939626 | − | 0.342203i | \(-0.888827\pi\) |
−0.286616 | + | 0.958045i | \(0.592531\pi\) | |||||||
\(384\) | −21.1963 | − | 6.19816i | −1.08167 | − | 0.316298i | ||||
\(385\) | −17.9455 | − | 59.5699i | −0.914589 | − | 3.03596i | ||||
\(386\) | 6.12728 | + | 7.30221i | 0.311870 | + | 0.371673i | ||||
\(387\) | −24.0885 | + | 16.2889i | −1.22449 | + | 0.828013i | ||||
\(388\) | 2.08165 | − | 2.48082i | 0.105680 | − | 0.125944i | ||||
\(389\) | 3.12424 | + | 4.75017i | 0.158405 | + | 0.240843i | 0.905966 | − | 0.423350i | \(-0.139146\pi\) |
−0.747561 | + | 0.664193i | \(0.768775\pi\) | |||||||
\(390\) | −2.38556 | − | 1.54722i | −0.120798 | − | 0.0783464i | ||||
\(391\) | 0.0986029 | + | 0.843602i | 0.00498656 | + | 0.0426628i | ||||
\(392\) | 13.5150 | − | 12.8387i | 0.682610 | − | 0.648453i | ||||
\(393\) | 0.916968 | − | 0.984481i | 0.0462549 | − | 0.0496605i | ||||
\(394\) | 18.6317 | + | 9.35721i | 0.938653 | + | 0.471409i | ||||
\(395\) | −38.1978 | + | 13.9029i | −1.92194 | + | 0.699529i | ||||
\(396\) | −1.20670 | − | 3.18778i | −0.0606392 | − | 0.160192i | ||||
\(397\) | −7.42001 | + | 20.3863i | −0.372400 | + | 1.02316i | 0.602031 | + | 0.798473i | \(0.294358\pi\) |
−0.974431 | + | 0.224687i | \(0.927864\pi\) | |||||||
\(398\) | 23.5168 | + | 24.9263i | 1.17879 | + | 1.24944i | ||||
\(399\) | 0.635377 | − | 12.6821i | 0.0318086 | − | 0.634899i | ||||
\(400\) | 49.2780 | + | 32.4107i | 2.46390 | + | 1.62053i | ||||
\(401\) | −17.1335 | + | 5.12944i | −0.855607 | + | 0.256152i | −0.684421 | − | 0.729087i | \(-0.739945\pi\) |
−0.171186 | + | 0.985239i | \(0.554760\pi\) | |||||||
\(402\) | 16.2436 | − | 9.51744i | 0.810158 | − | 0.474687i | ||||
\(403\) | 0.173147 | − | 0.232576i | 0.00862505 | − | 0.0115854i | ||||
\(404\) | −0.444317 | −0.0221056 | ||||||||
\(405\) | −34.1271 | + | 18.2482i | −1.69579 | + | 0.906761i | ||||
\(406\) | 17.7717 | + | 26.9198i | 0.881994 | + | 1.33601i | ||||
\(407\) | 36.2399 | + | 26.9796i | 1.79634 | + | 1.33733i | ||||
\(408\) | −0.0130040 | − | 2.03104i | −0.000643794 | − | 0.100551i | ||||
\(409\) | −19.4037 | + | 5.80907i | −0.959449 | + | 0.287240i | −0.727977 | − | 0.685601i | \(-0.759539\pi\) |
−0.231472 | + | 0.972842i | \(0.574354\pi\) | |||||||
\(410\) | 2.57135 | − | 3.90954i | 0.126990 | − | 0.193079i | ||||
\(411\) | 0.991595 | − | 8.98201i | 0.0489118 | − | 0.443050i | ||||
\(412\) | −2.67558 | + | 2.52428i | −0.131816 | + | 0.124362i | ||||
\(413\) | −1.13522 | − | 4.75349i | −0.0558606 | − | 0.233904i | ||||
\(414\) | −6.51499 | + | 5.61044i | −0.320194 | + | 0.275738i | ||||
\(415\) | 8.86984 | − | 3.22836i | 0.435403 | − | 0.158474i | ||||
\(416\) | 0.268803 | + | 0.134998i | 0.0131791 | + | 0.00661881i | ||||
\(417\) | −4.97141 | + | 1.52309i | −0.243451 | + | 0.0745862i | ||||
\(418\) | 20.6740 | + | 8.91790i | 1.01120 | + | 0.436189i | ||||
\(419\) | −22.4932 | + | 2.62908i | −1.09886 | + | 0.128439i | −0.646145 | − | 0.763215i | \(-0.723620\pi\) |
−0.452719 | + | 0.891653i | \(0.649546\pi\) | |||||||
\(420\) | −3.52872 | + | 2.07569i | −0.172184 | + | 0.101283i | ||||
\(421\) | −6.45607 | + | 4.24623i | −0.314650 | + | 0.206948i | −0.697004 | − | 0.717068i | \(-0.745484\pi\) |
0.382354 | + | 0.924016i | \(0.375114\pi\) | |||||||
\(422\) | −10.3541 | + | 12.3395i | −0.504027 | + | 0.600676i | ||||
\(423\) | −23.7293 | − | 24.5149i | −1.15376 | − | 1.19196i | ||||
\(424\) | −3.43376 | + | 2.88127i | −0.166758 | + | 0.139927i | ||||
\(425\) | −1.70363 | + | 5.69052i | −0.0826382 | + | 0.276031i | ||||
\(426\) | 14.5440 | + | 15.2193i | 0.704657 | + | 0.737377i | ||||
\(427\) | 5.71458 | − | 9.93730i | 0.276548 | − | 0.480900i | ||||
\(428\) | −1.66394 | − | 1.56985i | −0.0804297 | − | 0.0758815i | ||||
\(429\) | −0.437950 | − | 2.39400i | −0.0211444 | − | 0.115583i | ||||
\(430\) | −56.8646 | + | 24.5290i | −2.74225 | + | 1.18289i | ||||
\(431\) | −4.37625 | + | 2.52663i | −0.210796 | + | 0.121703i | −0.601681 | − | 0.798736i | \(-0.705502\pi\) |
0.390885 | + | 0.920440i | \(0.372169\pi\) | |||||||
\(432\) | 18.7385 | − | 12.8468i | 0.901558 | − | 0.618093i | ||||
\(433\) | 10.3728 | + | 5.98872i | 0.498483 | + | 0.287800i | 0.728087 | − | 0.685485i | \(-0.240410\pi\) |
−0.229604 | + | 0.973284i | \(0.573743\pi\) | |||||||
\(434\) | −1.99779 | − | 3.96095i | −0.0958968 | − | 0.190132i | ||||
\(435\) | 21.2685 | + | 57.2908i | 1.01975 | + | 2.74688i | ||||
\(436\) | −0.981642 | − | 0.232654i | −0.0470121 | − | 0.0111421i | ||||
\(437\) | 0.310762 | − | 5.33557i | 0.0148657 | − | 0.255235i | ||||
\(438\) | 0.549980 | + | 8.50439i | 0.0262791 | + | 0.406355i | ||||
\(439\) | 0.719448 | + | 3.03559i | 0.0343374 | + | 0.144881i | 0.987513 | − | 0.157536i | \(-0.0503549\pi\) |
−0.953176 | + | 0.302416i | \(0.902207\pi\) | |||||||
\(440\) | 10.8738 | + | 61.6686i | 0.518390 | + | 2.93993i | ||||
\(441\) | 1.56130 | + | 20.9419i | 0.0743475 | + | 0.997232i | ||||
\(442\) | −0.0291927 | + | 0.165560i | −0.00138856 | + | 0.00787489i | ||||
\(443\) | 1.18607 | − | 0.0690806i | 0.0563518 | − | 0.00328212i | −0.0299458 | − | 0.999552i | \(-0.509533\pi\) |
0.0862976 | + | 0.996269i | \(0.472496\pi\) | |||||||
\(444\) | 1.16005 | − | 2.73735i | 0.0550535 | − | 0.129909i | ||||
\(445\) | 24.2511 | + | 32.5749i | 1.14961 | + | 1.54420i | ||||
\(446\) | 19.7497 | + | 26.5284i | 0.935174 | + | 1.25616i | ||||
\(447\) | −14.2146 | + | 10.7245i | −0.672325 | + | 0.507250i | ||||
\(448\) | −14.8477 | + | 11.0933i | −0.701486 | + | 0.524111i | ||||
\(449\) | 19.8668 | + | 3.50305i | 0.937571 | + | 0.165319i | 0.621498 | − | 0.783416i | \(-0.286524\pi\) |
0.316073 | + | 0.948735i | \(0.397636\pi\) | |||||||
\(450\) | −57.3788 | + | 17.9818i | −2.70486 | + | 0.847671i | ||||
\(451\) | 3.94435 | − | 0.695496i | 0.185732 | − | 0.0327496i | ||||
\(452\) | −0.00625359 | − | 0.0263860i | −0.000294144 | − | 0.00124109i | ||||
\(453\) | 29.0402 | − | 19.3675i | 1.36443 | − | 0.909965i | ||||
\(454\) | 13.3618 | + | 0.778234i | 0.627099 | + | 0.0365243i | ||||
\(455\) | −2.74511 | + | 1.00448i | −0.128693 | + | 0.0470907i | ||||
\(456\) | −2.13873 | + | 12.6006i | −0.100155 | + | 0.590077i | ||||
\(457\) | 23.3395 | + | 2.72799i | 1.09177 | + | 0.127610i | 0.642874 | − | 0.765972i | \(-0.277742\pi\) |
0.448900 | + | 0.893582i | \(0.351816\pi\) | |||||||
\(458\) | 3.90529 | − | 6.76415i | 0.182482 | − | 0.316068i | ||||
\(459\) | 1.78071 | + | 1.43683i | 0.0831167 | + | 0.0670654i | ||||
\(460\) | −1.49229 | + | 0.861572i | −0.0695782 | + | 0.0401710i | ||||
\(461\) | 5.66449 | + | 13.1318i | 0.263822 | + | 0.611607i | 0.997708 | − | 0.0676647i | \(-0.0215548\pi\) |
−0.733886 | + | 0.679272i | \(0.762296\pi\) | |||||||
\(462\) | −35.7573 | − | 10.3894i | −1.66358 | − | 0.483361i | ||||
\(463\) | 11.2047 | − | 11.8763i | 0.520725 | − | 0.551936i | −0.412626 | − | 0.910900i | \(-0.635388\pi\) |
0.933351 | + | 0.358964i | \(0.116870\pi\) | |||||||
\(464\) | −16.1015 | − | 32.0607i | −0.747492 | − | 1.48838i | ||||
\(465\) | −1.99054 | − | 8.16542i | −0.0923091 | − | 0.378662i | ||||
\(466\) | 2.45884 | − | 8.21309i | 0.113903 | − | 0.380464i | ||||
\(467\) | −7.39077 | + | 6.20160i | −0.342004 | + | 0.286976i | −0.797570 | − | 0.603227i | \(-0.793881\pi\) |
0.455566 | + | 0.890202i | \(0.349437\pi\) | |||||||
\(468\) | −0.146227 | + | 0.0653095i | −0.00675935 | + | 0.00301893i | ||||
\(469\) | 2.21391 | − | 19.2274i | 0.102229 | − | 0.887841i | ||||
\(470\) | −39.9283 | − | 60.7080i | −1.84175 | − | 2.80025i | ||||
\(471\) | −6.26093 | − | 12.2700i | −0.288488 | − | 0.565373i | ||||
\(472\) | 0.571065 | + | 4.88578i | 0.0262854 | + | 0.224886i | ||||
\(473\) | −48.6721 | − | 20.9951i | −2.23795 | − | 0.965356i | ||||
\(474\) | −5.45900 | + | 23.7088i | −0.250740 | + | 1.08898i | ||||
\(475\) | 16.7755 | − | 33.4028i | 0.769713 | − | 1.53262i | ||||
\(476\) | 0.194405 | + | 0.144211i | 0.00891052 | + | 0.00660989i | ||||
\(477\) | −0.0646602 | − | 5.04928i | −0.00296059 | − | 0.231191i | ||||
\(478\) | 37.9842 | + | 13.8251i | 1.73736 | + | 0.632347i | ||||
\(479\) | 13.1658 | + | 13.9549i | 0.601561 | + | 0.637617i | 0.954564 | − | 0.298005i | \(-0.0963212\pi\) |
−0.353004 | + | 0.935622i | \(0.614840\pi\) | |||||||
\(480\) | 7.98360 | − | 3.50458i | 0.364400 | − | 0.159962i | ||||
\(481\) | 1.16648 | − | 1.77355i | 0.0531869 | − | 0.0808667i | ||||
\(482\) | −3.53260 | − | 11.7997i | −0.160905 | − | 0.537462i | ||||
\(483\) | 0.585564 | + | 8.81951i | 0.0266441 | + | 0.401302i | ||||
\(484\) | 2.34560 | − | 3.15068i | 0.106618 | − | 0.143213i | ||||
\(485\) | − | 67.0248i | − | 3.04344i | ||||||
\(486\) | −1.95124 | + | 23.0798i | −0.0885100 | + | 1.04692i | ||||
\(487\) | −23.8653 | −1.08144 | −0.540721 | − | 0.841202i | \(-0.681848\pi\) | ||||
−0.540721 | + | 0.841202i | \(0.681848\pi\) | |||||||
\(488\) | −6.89002 | + | 9.25490i | −0.311897 | + | 0.418950i | ||||
\(489\) | −10.6223 | + | 18.6734i | −0.480357 | + | 0.844442i | ||||
\(490\) | −5.03956 | + | 44.4388i | −0.227664 | + | 2.00754i | ||||
\(491\) | −0.893670 | + | 1.35876i | −0.0403307 | + | 0.0613199i | −0.855090 | − | 0.518479i | \(-0.826498\pi\) |
0.814760 | + | 0.579799i | \(0.196869\pi\) | |||||||
\(492\) | −0.105937 | − | 0.241330i | −0.00477602 | − | 0.0108800i | ||||
\(493\) | 2.62814 | − | 2.47952i | 0.118366 | − | 0.111672i | ||||
\(494\) | 0.361816 | − | 0.994082i | 0.0162789 | − | 0.0447259i | ||||
\(495\) | −61.5398 | − | 34.4870i | −2.76601 | − | 1.55007i | ||||
\(496\) | 1.68755 | + | 4.63652i | 0.0757734 | + | 0.208186i | ||||
\(497\) | 21.4909 | − | 2.54933i | 0.963999 | − | 0.114353i | ||||
\(498\) | 1.26762 | − | 5.50536i | 0.0568035 | − | 0.246701i | ||||
\(499\) | −6.09782 | + | 14.1363i | −0.272976 | + | 0.632830i | −0.998464 | − | 0.0554053i | \(-0.982355\pi\) |
0.725488 | + | 0.688235i | \(0.241614\pi\) | |||||||
\(500\) | −7.53302 | + | 0.880484i | −0.336887 | + | 0.0393764i | ||||
\(501\) | −5.75540 | + | 2.93677i | −0.257132 | + | 0.131205i | ||||
\(502\) | 8.42222 | + | 12.8054i | 0.375902 | + | 0.571531i | ||||
\(503\) | −6.00403 | − | 5.03798i | −0.267706 | − | 0.224632i | 0.499046 | − | 0.866576i | \(-0.333684\pi\) |
−0.766752 | + | 0.641943i | \(0.778128\pi\) | |||||||
\(504\) | 0.922457 | − | 21.1168i | 0.0410895 | − | 0.940617i | ||||
\(505\) | −7.04435 | + | 5.91091i | −0.313470 | + | 0.263032i | ||||
\(506\) | −15.0143 | − | 4.49498i | −0.667467 | − | 0.199826i | ||||
\(507\) | 21.7649 | − | 5.30579i | 0.966615 | − | 0.235638i | ||||
\(508\) | 1.32353 | − | 0.664703i | 0.0587223 | − | 0.0294914i | ||||
\(509\) | 7.83318 | − | 8.30268i | 0.347200 | − | 0.368010i | −0.530115 | − | 0.847926i | \(-0.677851\pi\) |
0.877315 | + | 0.479916i | \(0.159333\pi\) | |||||||
\(510\) | 3.15612 | + | 3.71278i | 0.139755 | + | 0.164405i | ||||
\(511\) | 7.32810 | + | 4.80176i | 0.324176 | + | 0.212417i | ||||
\(512\) | 15.7344 | − | 9.08428i | 0.695370 | − | 0.401472i | ||||
\(513\) | −9.46511 | − | 10.8499i | −0.417895 | − | 0.479033i | ||||
\(514\) | −19.6368 | − | 11.3373i | −0.866141 | − | 0.500067i | ||||
\(515\) | −8.83813 | + | 75.6150i | −0.389455 | + | 3.33200i | ||||
\(516\) | −0.583694 | + | 3.43890i | −0.0256957 | + | 0.151389i | ||||
\(517\) | 14.3428 | − | 60.5169i | 0.630794 | − | 2.66153i | ||||
\(518\) | −16.2874 | − | 28.0991i | −0.715628 | − | 1.23460i | ||||
\(519\) | 19.2958 | − | 12.8688i | 0.846991 | − | 0.564876i | ||||
\(520\) | 2.86287 | − | 0.678513i | 0.125545 | − | 0.0297548i | ||||
\(521\) | −2.42271 | − | 13.7399i | −0.106141 | − | 0.601954i | −0.990759 | − | 0.135637i | \(-0.956692\pi\) |
0.884618 | − | 0.466317i | \(-0.154419\pi\) | |||||||
\(522\) | 35.6951 | + | 7.97857i | 1.56233 | + | 0.349212i | ||||
\(523\) | 12.2015 | + | 2.15145i | 0.533534 | + | 0.0940764i | 0.433923 | − | 0.900950i | \(-0.357129\pi\) |
0.0996109 | + | 0.995026i | \(0.468240\pi\) | |||||||
\(524\) | −0.00938344 | − | 0.161107i | −0.000409918 | − | 0.00703801i | ||||
\(525\) | −20.6703 | + | 58.2586i | −0.902125 | + | 2.54261i | ||||
\(526\) | −19.0528 | − | 25.5923i | −0.830740 | − | 1.11588i | ||||
\(527\) | −0.398589 | + | 0.296739i | −0.0173628 | + | 0.0129261i | ||||
\(528\) | 38.1319 | + | 16.1597i | 1.65948 | + | 0.703261i | ||||
\(529\) | −1.12101 | − | 19.2471i | −0.0487397 | − | 0.836829i | ||||
\(530\) | 1.86747 | − | 10.5910i | 0.0811177 | − | 0.460042i | ||||
\(531\) | −4.66849 | − | 2.98559i | −0.202595 | − | 0.129563i | ||||
\(532\) | −1.04715 | − | 1.10611i | −0.0453998 | − | 0.0479558i | ||||
\(533\) | −0.0433980 | − | 0.183111i | −0.00187978 | − | 0.00793140i | ||||
\(534\) | 24.2555 | − | 1.56861i | 1.04964 | − | 0.0678802i | ||||
\(535\) | −47.2651 | − | 2.75288i | −2.04345 | − | 0.119017i | ||||
\(536\) | −4.49255 | + | 18.9556i | −0.194049 | + | 0.818756i | ||||
\(537\) | 5.52757 | + | 14.8896i | 0.238532 | + | 0.642532i | ||||
\(538\) | 4.21899 | − | 36.0958i | 0.181894 | − | 1.55620i | ||||
\(539\) | −30.6269 | + | 22.9647i | −1.31919 | + | 0.989161i | ||||
\(540\) | −1.24571 | + | 4.47182i | −0.0536067 | + | 0.192437i | ||||
\(541\) | 1.86574 | + | 3.23155i | 0.0802143 | + | 0.138935i | 0.903342 | − | 0.428921i | \(-0.141106\pi\) |
−0.823128 | + | 0.567856i | \(0.807773\pi\) | |||||||
\(542\) | 7.82499 | + | 18.1404i | 0.336112 | + | 0.779196i | ||||
\(543\) | −8.75618 | + | 1.60182i | −0.375764 | + | 0.0687408i | ||||
\(544\) | −0.374966 | − | 0.353762i | −0.0160765 | − | 0.0151674i | ||||
\(545\) | −18.6584 | + | 9.37059i | −0.799237 | + | 0.401392i | ||||
\(546\) | −0.389633 | + | 1.70559i | −0.0166748 | + | 0.0729923i | ||||
\(547\) | −4.85357 | + | 16.2120i | −0.207524 | + | 0.693177i | 0.789334 | + | 0.613964i | \(0.210426\pi\) |
−0.996858 | + | 0.0792131i | \(0.974759\pi\) | |||||||
\(548\) | −0.696754 | − | 0.830359i | −0.0297638 | − | 0.0354712i | ||||
\(549\) | −3.15928 | − | 12.6083i | −0.134835 | − | 0.538110i | ||||
\(550\) | −83.9663 | − | 70.4561i | −3.58034 | − | 3.00426i | ||||
\(551\) | −18.9961 | + | 12.4939i | −0.809259 | + | 0.532258i | ||||
\(552\) | 0.460415 | − | 8.88464i | 0.0195965 | − | 0.378155i | ||||
\(553\) | 16.1099 | + | 19.1322i | 0.685063 | + | 0.813586i | ||||
\(554\) | 22.7192 | + | 9.80012i | 0.965248 | + | 0.416367i | ||||
\(555\) | −18.0242 | − | 58.8316i | −0.765086 | − | 2.49726i | ||||
\(556\) | −0.279912 | + | 0.557350i | −0.0118709 | + | 0.0236369i | ||||
\(557\) | −6.94715 | − | 19.0871i | −0.294360 | − | 0.808747i | −0.995416 | − | 0.0956411i | \(-0.969510\pi\) |
0.701056 | − | 0.713106i | \(-0.252712\pi\) | |||||||
\(558\) | −4.74851 | − | 1.65977i | −0.201020 | − | 0.0702637i | ||||
\(559\) | −0.851811 | + | 2.34033i | −0.0360278 | + | 0.0989855i | ||||
\(560\) | 11.3883 | − | 48.4214i | 0.481244 | − | 2.04618i | ||||
\(561\) | −0.457681 | + | 4.14574i | −0.0193233 | + | 0.175033i | ||||
\(562\) | 14.3711 | + | 9.45202i | 0.606208 | + | 0.398710i | ||||
\(563\) | 3.08139 | + | 10.2926i | 0.129865 | + | 0.433779i | 0.998047 | − | 0.0624664i | \(-0.0198966\pi\) |
−0.868182 | + | 0.496246i | \(0.834711\pi\) | |||||||
\(564\) | −4.09248 | + | 0.0262027i | −0.172324 | + | 0.00110333i | ||||
\(565\) | −0.450169 | − | 0.335139i | −0.0189388 | − | 0.0140994i | ||||
\(566\) | −6.18178 | −0.259840 | ||||||||
\(567\) | 17.7601 | + | 15.8613i | 0.745853 | + | 0.666111i | ||||
\(568\) | −21.7827 | −0.913982 | ||||||||
\(569\) | −0.902247 | − | 0.671698i | −0.0378242 | − | 0.0281591i | 0.578081 | − | 0.815980i | \(-0.303802\pi\) |
−0.615905 | + | 0.787821i | \(0.711209\pi\) | |||||||
\(570\) | −15.5016 | − | 26.4569i | −0.649291 | − | 1.10816i | ||||
\(571\) | 4.17089 | + | 13.9317i | 0.174546 | + | 0.583025i | 0.999832 | + | 0.0183102i | \(0.00582864\pi\) |
−0.825286 | + | 0.564715i | \(0.808986\pi\) | |||||||
\(572\) | −0.243905 | − | 0.160419i | −0.0101982 | − | 0.00670745i | ||||
\(573\) | 5.73490 | + | 4.21268i | 0.239579 | + | 0.175987i | ||||
\(574\) | −2.80273 | − | 0.659179i | −0.116984 | − | 0.0275136i | ||||
\(575\) | −8.89895 | + | 24.4497i | −0.371112 | + | 1.01962i | ||||
\(576\) | −3.38404 | + | 20.7415i | −0.141001 | + | 0.864230i | ||||
\(577\) | 3.07203 | + | 8.44034i | 0.127890 | + | 0.351376i | 0.987068 | − | 0.160301i | \(-0.0512466\pi\) |
−0.859178 | + | 0.511677i | \(0.829024\pi\) | |||||||
\(578\) | −11.2071 | + | 22.3153i | −0.466156 | + | 0.928193i | ||||
\(579\) | 7.57348 | − | 8.13109i | 0.314743 | − | 0.337917i | ||||
\(580\) | 6.73091 | + | 2.90343i | 0.279486 | + | 0.120558i | ||||
\(581\) | −3.74085 | − | 4.44266i | −0.155197 | − | 0.184313i | ||||
\(582\) | −33.6562 | − | 21.8286i | −1.39510 | − | 0.904826i | ||||
\(583\) | 7.69063 | − | 5.05821i | 0.318513 | − | 0.209490i | ||||
\(584\) | −6.75520 | − | 5.66829i | −0.279532 | − | 0.234555i | ||||
\(585\) | −1.44950 | + | 2.98075i | −0.0599293 | + | 0.123239i | ||||
\(586\) | −22.7697 | − | 27.1359i | −0.940609 | − | 1.12097i | ||||
\(587\) | −10.3332 | + | 34.5153i | −0.426497 | + | 1.42460i | 0.427355 | + | 0.904084i | \(0.359446\pi\) |
−0.853852 | + | 0.520516i | \(0.825740\pi\) | |||||||
\(588\) | 1.94549 | + | 1.60012i | 0.0802308 | + | 0.0659878i | ||||
\(589\) | 2.79431 | − | 1.40336i | 0.115138 | − | 0.0578243i | ||||
\(590\) | −8.58431 | − | 8.09888i | −0.353410 | − | 0.333425i | ||||
\(591\) | 8.16608 | − | 22.8911i | 0.335908 | − | 0.941613i | ||||
\(592\) | 14.3076 | + | 33.1687i | 0.588039 | + | 1.36323i | ||||
\(593\) | 17.0982 | + | 29.6149i | 0.702139 | + | 1.21614i | 0.967714 | + | 0.252050i | \(0.0811048\pi\) |
−0.265575 | + | 0.964090i | \(0.585562\pi\) | |||||||
\(594\) | −37.3598 | + | 19.6702i | −1.53289 | + | 0.807080i | ||||
\(595\) | 5.00065 | − | 0.299869i | 0.205007 | − | 0.0122934i | ||||
\(596\) | −0.247965 | + | 2.12147i | −0.0101570 | + | 0.0868989i | ||||
\(597\) | 25.4810 | − | 30.7650i | 1.04287 | − | 1.25913i | ||||
\(598\) | −0.169820 | + | 0.716528i | −0.00694447 | + | 0.0293010i | ||||
\(599\) | 16.5519 | + | 0.964036i | 0.676290 | + | 0.0393894i | 0.392853 | − | 0.919601i | \(-0.371488\pi\) |
0.283437 | + | 0.958991i | \(0.408525\pi\) | |||||||
\(600\) | 27.5677 | − | 55.7794i | 1.12545 | − | 2.27718i | ||||
\(601\) | 9.73692 | + | 41.0833i | 0.397177 | + | 1.67582i | 0.693281 | + | 0.720667i | \(0.256164\pi\) |
−0.296104 | + | 0.955156i | \(0.595687\pi\) | |||||||
\(602\) | 26.1968 | + | 27.6717i | 1.06770 | + | 1.12781i | ||||
\(603\) | −13.3295 | − | 17.4341i | −0.542820 | − | 0.709971i | ||||
\(604\) | 0.727074 | − | 4.12344i | 0.0295842 | − | 0.167781i | ||||
\(605\) | −4.72682 | − | 81.1564i | −0.192173 | − | 3.29948i | ||||
\(606\) | 0.673936 | + | 5.46236i | 0.0273768 | + | 0.221893i | ||||
\(607\) | 6.86642 | − | 5.11186i | 0.278699 | − | 0.207484i | −0.448728 | − | 0.893668i | \(-0.648123\pi\) |
0.727428 | + | 0.686184i | \(0.240716\pi\) | |||||||
\(608\) | 1.93712 | + | 2.60200i | 0.0785605 | + | 0.105525i | ||||
\(609\) | 28.6074 | − | 24.4030i | 1.15923 | − | 0.988858i | ||||
\(610\) | −1.60957 | − | 27.6352i | −0.0651695 | − | 1.11892i | ||||
\(611\) | −2.87774 | − | 0.507423i | −0.116421 | − | 0.0205282i | ||||
\(612\) | 0.272177 | − | 0.0353513i | 0.0110021 | − | 0.00142899i | ||||
\(613\) | −2.84742 | − | 16.1485i | −0.115006 | − | 0.652232i | −0.986747 | − | 0.162265i | \(-0.948120\pi\) |
0.871741 | − | 0.489967i | \(-0.162991\pi\) | |||||||
\(614\) | 5.30957 | − | 1.25839i | 0.214277 | − | 0.0507845i | ||||
\(615\) | −4.89007 | − | 2.41680i | −0.197186 | − | 0.0974549i | ||||
\(616\) | 33.3348 | − | 19.3222i | 1.34310 | − | 0.778515i | ||||
\(617\) | −3.54392 | + | 14.9530i | −0.142673 | + | 0.601984i | 0.853985 | + | 0.520297i | \(0.174179\pi\) |
−0.996658 | + | 0.0816868i | \(0.973969\pi\) | |||||||
\(618\) | 35.0914 | + | 29.0643i | 1.41158 | + | 1.16914i | ||||
\(619\) | 4.86791 | − | 41.6476i | 0.195658 | − | 1.67396i | −0.436950 | − | 0.899486i | \(-0.643941\pi\) |
0.632607 | − | 0.774473i | \(-0.281985\pi\) | |||||||
\(620\) | −0.873077 | − | 0.504071i | −0.0350636 | − | 0.0202440i | ||||
\(621\) | 7.42079 | + | 6.73651i | 0.297786 | + | 0.270327i | ||||
\(622\) | −41.7250 | + | 24.0900i | −1.67302 | + | 0.965920i | ||||
\(623\) | 13.6952 | − | 20.9006i | 0.548685 | − | 0.837363i | ||||
\(624\) | 0.653801 | − | 1.83273i | 0.0261730 | − | 0.0733679i | ||||
\(625\) | −61.4324 | + | 65.1145i | −2.45729 | + | 2.60458i | ||||
\(626\) | 5.16754 | − | 2.59524i | 0.206536 | − | 0.103727i | ||||
\(627\) | 7.36632 | − | 25.1911i | 0.294183 | − | 1.00604i | ||||
\(628\) | −1.58293 | − | 0.473899i | −0.0631659 | − | 0.0189106i | ||||
\(629\) | −2.78687 | + | 2.33846i | −0.111120 | + | 0.0932404i | ||||
\(630\) | 30.8705 | + | 40.2331i | 1.22991 | + | 1.60293i | ||||
\(631\) | 17.6180 | + | 14.7832i | 0.701360 | + | 0.588511i | 0.922160 | − | 0.386808i | \(-0.126422\pi\) |
−0.220800 | + | 0.975319i | \(0.570867\pi\) | |||||||
\(632\) | −13.8336 | − | 21.0330i | −0.550272 | − | 0.836648i | ||||
\(633\) | 15.7537 | + | 10.2175i | 0.626155 | + | 0.406109i | ||||
\(634\) | 17.6258 | − | 2.06016i | 0.700009 | − | 0.0818194i | ||||
\(635\) | 12.1410 | − | 28.1459i | 0.481799 | − | 1.11694i | ||||
\(636\) | −0.443239 | − | 0.412842i | −0.0175756 | − | 0.0163703i | ||||
\(637\) | 1.16084 | + | 1.37382i | 0.0459940 | + | 0.0544328i | ||||
\(638\) | 22.8036 | + | 62.6523i | 0.902802 | + | 2.48043i | ||||
\(639\) | 15.5315 | − | 18.9986i | 0.614418 | − | 0.751573i | ||||
\(640\) | −18.7513 | + | 51.5186i | −0.741208 | + | 2.03645i | ||||
\(641\) | 8.20783 | − | 7.74369i | 0.324190 | − | 0.305857i | −0.506890 | − | 0.862011i | \(-0.669205\pi\) |
0.831080 | + | 0.556154i | \(0.187723\pi\) | |||||||
\(642\) | −16.7756 | + | 22.8374i | −0.662081 | + | 0.901320i | ||||
\(643\) | 19.3953 | − | 29.4892i | 0.764877 | − | 1.16294i | −0.217506 | − | 0.976059i | \(-0.569792\pi\) |
0.982383 | − | 0.186880i | \(-0.0598376\pi\) | |||||||
\(644\) | 0.813366 | + | 0.680119i | 0.0320511 | + | 0.0268004i | ||||
\(645\) | 36.4949 | + | 62.2866i | 1.43699 | + | 2.45253i | ||||
\(646\) | −1.08265 | + | 1.45424i | −0.0425961 | + | 0.0572165i | ||||
\(647\) | −41.5731 | −1.63441 | −0.817203 | − | 0.576350i | \(-0.804476\pi\) | ||||
−0.817203 | + | 0.576350i | \(0.804476\pi\) | |||||||
\(648\) | −15.8708 | − | 17.9593i | −0.623464 | − | 0.705507i | ||||
\(649\) | − | 10.1015i | − | 0.396519i | ||||||
\(650\) | −3.07537 | + | 4.13094i | −0.120626 | + | 0.162029i | ||||
\(651\) | −4.29734 | + | 2.87666i | −0.168426 | + | 0.112745i | ||||
\(652\) | 0.739081 | + | 2.46870i | 0.0289447 | + | 0.0966819i | ||||
\(653\) | −18.7641 | + | 28.5295i | −0.734297 | + | 1.11644i | 0.254485 | + | 0.967077i | \(0.418094\pi\) |
−0.988782 | + | 0.149368i | \(0.952276\pi\) | |||||||
\(654\) | −1.37126 | + | 12.4210i | −0.0536205 | + | 0.485701i | ||||
\(655\) | −2.29204 | − | 2.42942i | −0.0895575 | − | 0.0949254i | ||||
\(656\) | 3.00918 | + | 1.09525i | 0.117489 | + | 0.0427624i | ||||
\(657\) | 9.76041 | − | 1.85019i | 0.380790 | − | 0.0721828i | ||||
\(658\) | −26.6365 | + | 35.9076i | −1.03840 | + | 1.39982i | ||||
\(659\) | 14.6990 | − | 29.2682i | 0.572593 | − | 1.14013i | −0.401895 | − | 0.915686i | \(-0.631648\pi\) |
0.974488 | − | 0.224440i | \(-0.0720553\pi\) | |||||||
\(660\) | −8.09075 | + | 2.47876i | −0.314932 | + | 0.0964857i | ||||
\(661\) | 40.6500 | + | 17.5347i | 1.58110 | + | 0.682021i | 0.992023 | − | 0.126054i | \(-0.0402313\pi\) |
0.589079 | + | 0.808075i | \(0.299491\pi\) | |||||||
\(662\) | −1.09042 | − | 9.32910i | −0.0423802 | − | 0.362586i | ||||
\(663\) | 0.195707 | + | 0.0101418i | 0.00760063 | + | 0.000393875i | ||||
\(664\) | 3.21228 | + | 4.88403i | 0.124661 | + | 0.189537i | ||||
\(665\) | −31.3169 | − | 3.60593i | −1.21442 | − | 0.139832i | ||||
\(666\) | −35.4122 | − | 10.1095i | −1.37219 | − | 0.391734i | ||||
\(667\) | 12.1239 | − | 10.1731i | 0.469438 | − | 0.393905i | ||||
\(668\) | −0.222288 | + | 0.742494i | −0.00860059 | + | 0.0287280i | ||||
\(669\) | 27.8722 | − | 26.6354i | 1.07760 | − | 1.02979i | ||||
\(670\) | −20.9761 | − | 41.7668i | −0.810376 | − | 1.61359i | ||||
\(671\) | 16.2598 | − | 17.2343i | 0.627701 | − | 0.665324i | ||||
\(672\) | −3.71308 | − | 3.87216i | −0.143235 | − | 0.149372i | ||||
\(673\) | −14.6447 | − | 33.9502i | −0.564511 | − | 1.30868i | −0.926428 | − | 0.376472i | \(-0.877137\pi\) |
0.361917 | − | 0.932210i | \(-0.382122\pi\) | |||||||
\(674\) | −5.96958 | + | 3.44654i | −0.229940 | + | 0.132756i | ||||
\(675\) | 28.9937 | + | 63.8161i | 1.11597 | + | 2.45628i | ||||
\(676\) | 1.34360 | − | 2.32719i | 0.0516770 | − | 0.0895072i | ||||
\(677\) | 26.6284 | + | 3.11242i | 1.02341 | + | 0.119620i | 0.611207 | − | 0.791471i | \(-0.290684\pi\) |
0.412206 | + | 0.911091i | \(0.364758\pi\) | |||||||
\(678\) | −0.314900 | + | 0.116903i | −0.0120937 | + | 0.00448962i | ||||
\(679\) | −38.7289 | + | 14.1715i | −1.48628 | + | 0.543852i | ||||
\(680\) | −5.03377 | − | 0.293184i | −0.193036 | − | 0.0112431i | ||||
\(681\) | −1.00689 | − | 15.5696i | −0.0385840 | − | 0.596628i | ||||
\(682\) | −2.11462 | − | 8.92230i | −0.0809732 | − | 0.341653i | ||||
\(683\) | −7.52458 | + | 1.32679i | −0.287920 | + | 0.0507681i | −0.315743 | − | 0.948845i | \(-0.602254\pi\) |
0.0278228 | + | 0.999613i | \(0.491143\pi\) | |||||||
\(684\) | −1.72532 | − | 0.0783357i | −0.0659691 | − | 0.00299524i | ||||
\(685\) | −22.0932 | − | 3.89562i | −0.844136 | − | 0.148844i | ||||
\(686\) | 26.7436 | − | 6.48400i | 1.02108 | − | 0.247560i | ||||
\(687\) | −8.38303 | − | 3.55260i | −0.319833 | − | 0.135540i | ||||
\(688\) | −25.3083 | − | 33.9950i | −0.964871 | − | 1.29605i | ||||
\(689\) | −0.258266 | − | 0.346912i | −0.00983917 | − | 0.0132163i | ||||
\(690\) | 12.8555 | + | 17.0391i | 0.489401 | + | 0.648668i | ||||
\(691\) | −9.22532 | + | 0.537314i | −0.350948 | + | 0.0204404i | −0.232714 | − | 0.972545i | \(-0.574760\pi\) |
−0.118234 | + | 0.992986i | \(0.537723\pi\) | |||||||
\(692\) | 0.483105 | − | 2.73983i | 0.0183649 | − | 0.104153i | ||||
\(693\) | −6.91581 | + | 42.8513i | −0.262710 | + | 1.62779i | ||||
\(694\) | 0.244317 | + | 1.38559i | 0.00927416 | + | 0.0525964i | ||||
\(695\) | 2.97682 | + | 12.5602i | 0.112917 | + | 0.476436i | ||||
\(696\) | −31.4868 | + | 20.9992i | −1.19350 | + | 0.795973i | ||||
\(697\) | −0.0187522 | + | 0.321962i | −0.000710289 | + | 0.0121952i | ||||
\(698\) | 33.9831 | + | 8.05415i | 1.28628 | + | 0.304854i | ||||
\(699\) | −9.85287 | − | 1.67235i | −0.372670 | − | 0.0632542i | ||||
\(700\) | 3.33924 | + | 6.62062i | 0.126212 | + | 0.250236i | ||||
\(701\) | 15.0530 | + | 8.69088i | 0.568545 | + | 0.328250i | 0.756568 | − | 0.653915i | \(-0.226875\pi\) |
−0.188023 | + | 0.982165i | \(0.560208\pi\) | |||||||
\(702\) | 1.02470 | + | 1.69863i | 0.0386748 | + | 0.0641107i | ||||
\(703\) | 19.8255 | − | 11.4463i | 0.747734 | − | 0.431704i | ||||
\(704\) | −35.1760 | + | 15.1734i | −1.32575 | + | 0.571871i | ||||
\(705\) | −64.5350 | + | 54.8592i | −2.43053 | + | 2.06612i | ||||
\(706\) | −22.8052 | − | 21.5156i | −0.858286 | − | 0.809751i | ||||
\(707\) | 4.90494 | + | 2.82065i | 0.184469 | + | 0.106081i | ||||
\(708\) | −0.645806 | + | 0.157433i | −0.0242709 | + | 0.00591668i | ||||
\(709\) | 3.53990 | − | 11.8241i | 0.132944 | − | 0.444063i | −0.865433 | − | 0.501025i | \(-0.832956\pi\) |
0.998376 | + | 0.0569625i | \(0.0181415\pi\) | |||||||
\(710\) | 40.0344 | − | 33.5929i | 1.50246 | − | 1.26072i | ||||
\(711\) | 28.2084 | + | 2.93147i | 1.05790 | + | 0.109939i | ||||
\(712\) | −16.1666 | + | 19.2666i | −0.605869 | + | 0.722046i | ||||
\(713\) | −1.81853 | + | 1.19607i | −0.0681045 | + | 0.0447930i | ||||
\(714\) | 1.47803 | − | 2.60872i | 0.0553141 | − | 0.0976289i | ||||
\(715\) | −6.00107 | + | 0.701424i | −0.224427 | + | 0.0262318i | ||||
\(716\) | 1.74933 | + | 0.754586i | 0.0653754 | + | 0.0282002i | ||||
\(717\) | 10.5728 | − | 45.9181i | 0.394847 | − | 1.71484i | ||||
\(718\) | −18.0352 | − | 9.05762i | −0.673068 | − | 0.338027i | ||||
\(719\) | 0.202570 | − | 0.0737294i | 0.00755458 | − | 0.00274964i | −0.338240 | − | 0.941060i | \(-0.609832\pi\) |
0.345795 | + | 0.938310i | \(0.387609\pi\) | |||||||
\(720\) | −28.8245 | − | 48.4811i | −1.07423 | − | 1.80678i | ||||
\(721\) | 45.5613 | − | 10.8809i | 1.69679 | − | 0.405225i | ||||
\(722\) | −12.2364 | + | 11.5445i | −0.455392 | + | 0.429640i | ||||
\(723\) | −13.1471 | + | 5.77121i | −0.488945 | + | 0.214634i | ||||
\(724\) | −0.586740 | + | 0.892094i | −0.0218060 | + | 0.0331544i | ||||
\(725\) | 106.036 | − | 31.7452i | 3.93810 | − | 1.17899i | ||||
\(726\) | −42.2918 | − | 24.0575i | −1.56960 | − | 0.892856i | ||||
\(727\) | −3.92494 | − | 2.92201i | −0.145568 | − | 0.108371i | 0.521911 | − | 0.853000i | \(-0.325219\pi\) |
−0.667479 | + | 0.744629i | \(0.732627\pi\) | |||||||
\(728\) | −0.997381 | − | 1.51079i | −0.0369654 | − | 0.0559935i | ||||
\(729\) | 26.9801 | − | 1.03696i | 0.999262 | − | 0.0384059i | ||||
\(730\) | 21.1569 | 0.783052 | ||||||||
\(731\) | 2.54883 | − | 3.42368i | 0.0942720 | − | 0.126629i | ||||
\(732\) | −1.35523 | − | 0.770915i | −0.0500907 | − | 0.0284938i | ||||
\(733\) | 6.76529 | − | 2.02539i | 0.249882 | − | 0.0748096i | −0.159413 | − | 0.987212i | \(-0.550960\pi\) |
0.409294 | + | 0.912402i | \(0.365775\pi\) | |||||||
\(734\) | −22.6032 | − | 14.8663i | −0.834298 | − | 0.548726i | ||||
\(735\) | 52.1316 | − | 0.512778i | 1.92290 | − | 0.0189141i | ||||
\(736\) | −1.54956 | − | 1.64243i | −0.0571174 | − | 0.0605409i | ||||
\(737\) | 13.6824 | − | 37.5921i | 0.503997 | − | 1.38472i | ||||
\(738\) | −2.80618 | + | 1.66842i | −0.103297 | + | 0.0614155i | ||||
\(739\) | −39.6482 | + | 14.4308i | −1.45848 | + | 0.530845i | −0.944947 | − | 0.327223i | \(-0.893887\pi\) |
−0.513536 | + | 0.858068i | \(0.671665\pi\) | |||||||
\(740\) | −6.59567 | − | 3.31247i | −0.242462 | − | 0.121769i | ||||
\(741\) | −1.20172 | − | 0.276699i | −0.0441463 | − | 0.0101648i | ||||
\(742\) | −6.51462 | + | 1.16024i | −0.239159 | + | 0.0425936i | ||||
\(743\) | −4.37026 | − | 37.3899i | −0.160329 | − | 1.37170i | −0.798586 | − | 0.601880i | \(-0.794418\pi\) |
0.638257 | − | 0.769823i | \(-0.279656\pi\) | |||||||
\(744\) | 4.63632 | − | 2.36574i | 0.169976 | − | 0.0867323i | ||||
\(745\) | 24.2914 | + | 36.9333i | 0.889969 | + | 1.35313i | ||||
\(746\) | 11.5138 | − | 13.7216i | 0.421550 | − | 0.502384i | ||||
\(747\) | −6.55021 | − | 0.680710i | −0.239660 | − | 0.0249059i | ||||
\(748\) | 0.321594 | + | 0.383261i | 0.0117586 | + | 0.0140134i | ||||
\(749\) | 8.40288 | + | 27.8932i | 0.307034 | + | 1.01920i | ||||
\(750\) | 22.2506 | + | 91.2743i | 0.812476 | + | 3.33287i | ||||
\(751\) | 12.3976 | − | 6.22631i | 0.452395 | − | 0.227201i | −0.207986 | − | 0.978132i | \(-0.566691\pi\) |
0.660381 | + | 0.750930i | \(0.270395\pi\) | |||||||
\(752\) | 34.1239 | − | 36.1693i | 1.24437 | − | 1.31896i | ||||
\(753\) | 13.6126 | − | 11.5717i | 0.496071 | − | 0.421695i | ||||
\(754\) | 2.87642 | − | 1.24077i | 0.104753 | − | 0.0451861i | ||||
\(755\) | −43.3284 | − | 75.0471i | −1.57688 | − | 2.73124i | ||||
\(756\) | 2.84734 | − | 0.225701i | 0.103557 | − | 0.00820867i | ||||
\(757\) | −21.3738 | + | 37.0205i | −0.776845 | + | 1.34553i | 0.156907 | + | 0.987613i | \(0.449848\pi\) |
−0.933752 | + | 0.357921i | \(0.883486\pi\) | |||||||
\(758\) | 0.469621 | − | 4.01786i | 0.0170574 | − | 0.145935i | ||||
\(759\) | −3.05722 | + | 18.0120i | −0.110970 | + | 0.653793i | ||||
\(760\) | 30.8741 | + | 7.31729i | 1.11992 | + | 0.265426i | ||||
\(761\) | −0.502451 | + | 8.62675i | −0.0182138 | + | 0.312719i | 0.976880 | + | 0.213787i | \(0.0685798\pi\) |
−0.995094 | + | 0.0989324i | \(0.968457\pi\) | |||||||
\(762\) | −10.1793 | − | 15.2631i | −0.368756 | − | 0.552923i | ||||
\(763\) | 9.35967 | + | 8.80008i | 0.338843 | + | 0.318584i | ||||
\(764\) | 0.840597 | − | 0.148220i | 0.0304117 | − | 0.00536241i | ||||
\(765\) | 3.84490 | − | 4.18134i | 0.139013 | − | 0.151177i | ||||
\(766\) | 39.2956 | + | 6.92888i | 1.41981 | + | 0.250351i | ||||
\(767\) | −0.473813 | + | 0.0275965i | −0.0171084 | + | 0.000996451i | ||||
\(768\) | 5.14745 | + | 6.82259i | 0.185743 | + | 0.246189i | ||||
\(769\) | 19.3930 | − | 14.4375i | 0.699329 | − | 0.520631i | −0.187768 | − | 0.982213i | \(-0.560125\pi\) |
0.887097 | + | 0.461582i | \(0.152718\pi\) | |||||||
\(770\) | −31.4676 | + | 86.9206i | −1.13401 | + | 3.13240i | ||||
\(771\) | −10.3134 | + | 24.3365i | −0.371429 | + | 0.876457i | ||||
\(772\) | −0.0775003 | − | 1.33063i | −0.00278930 | − | 0.0478904i | ||||
\(773\) | −5.63288 | + | 31.9457i | −0.202601 | + | 1.14901i | 0.698570 | + | 0.715541i | \(0.253820\pi\) |
−0.901171 | + | 0.433464i | \(0.857291\pi\) | |||||||
\(774\) | 43.1626 | + | 1.95974i | 1.55145 | + | 0.0704415i | ||||
\(775\) | −14.9913 | + | 2.64337i | −0.538503 | + | 0.0949526i | ||||
\(776\) | 40.3903 | − | 9.57267i | 1.44993 | − | 0.343639i | ||||
\(777\) | −30.1836 | + | 22.8541i | −1.08283 | + | 0.819886i | ||||
\(778\) | 0.491198 | − | 8.43354i | 0.0176103 | − | 0.302357i | ||||
\(779\) | 0.468017 | − | 1.97472i | 0.0167685 | − | 0.0707517i | ||||
\(780\) | 0.138370 | + | 0.372726i | 0.00495445 | + | 0.0133457i | ||||
\(781\) | 44.4295 | + | 5.19306i | 1.58981 | + | 0.185822i | ||||
\(782\) | 0.631001 | − | 1.09293i | 0.0225646 | − | 0.0390830i | ||||
\(783\) | 4.13550 | − | 42.4352i | 0.147791 | − | 1.51651i | ||||
\(784\) | −30.3872 | + | 3.65755i | −1.08526 | + | 0.130627i | ||||
\(785\) | −31.4008 | + | 13.5450i | −1.12074 | + | 0.483442i | ||||
\(786\) | −1.96640 | + | 0.359725i | −0.0701391 | + | 0.0128310i | ||||
\(787\) | 1.85562 | + | 1.75069i | 0.0661457 | + | 0.0624053i | 0.718605 | − | 0.695419i | \(-0.244781\pi\) |
−0.652459 | + | 0.757824i | \(0.726263\pi\) | |||||||
\(788\) | −1.30839 | − | 2.60523i | −0.0466096 | − | 0.0928074i | ||||
\(789\) | −26.8887 | + | 25.6956i | −0.957264 | + | 0.914787i | ||||
\(790\) | 57.8615 | + | 17.3226i | 2.05862 | + | 0.616310i | ||||
\(791\) | −0.0984706 | + | 0.330982i | −0.00350121 | + | 0.0117684i | ||||
\(792\) | 11.9932 | − | 42.0105i | 0.426158 | − | 1.49278i | ||||
\(793\) | −0.852800 | − | 0.715584i | −0.0302838 | − | 0.0254111i | ||||
\(794\) | 26.9320 | − | 17.7135i | 0.955783 | − | 0.628628i | ||||
\(795\) | −12.5195 | − | 0.648776i | −0.444019 | − | 0.0230097i | ||||
\(796\) | −0.556287 | − | 4.75934i | −0.0197171 | − | 0.168690i | ||||
\(797\) | −12.0040 | + | 27.8285i | −0.425205 | + | 0.985735i | 0.562125 | + | 0.827052i | \(0.309984\pi\) |
−0.987330 | + | 0.158683i | \(0.949275\pi\) | |||||||
\(798\) | −12.0100 | + | 14.5513i | −0.425149 | + | 0.515109i | ||||
\(799\) | 4.47527 | + | 2.24757i | 0.158324 | + | 0.0795131i | ||||
\(800\) | −5.40119 | − | 14.8396i | −0.190961 | − | 0.524660i | ||||
\(801\) | −5.27695 | − | 27.8378i | −0.186452 | − | 0.983600i | ||||
\(802\) | 24.9717 | + | 9.08895i | 0.881781 | + | 0.320942i | ||||
\(803\) | 12.4270 | + | 13.1719i | 0.438540 | + | 0.464826i | ||||
\(804\) | −2.61656 | − | 0.288863i | −0.0922790 | − | 0.0101874i | ||||
\(805\) | 21.9433 | − | 0.0376695i | 0.773399 | − | 0.00132768i | ||||
\(806\) | −0.412726 | + | 0.123562i | −0.0145376 | + | 0.00435228i | ||||
\(807\) | −42.3622 | + | 0.271230i | −1.49122 | + | 0.00954775i | ||||
\(808\) | −4.56811 | − | 3.40083i | −0.160706 | − | 0.119641i | ||||
\(809\) | 23.6059i | 0.829939i | 0.909835 | + | 0.414970i | \(0.136208\pi\) | ||||
−0.909835 | + | 0.414970i | \(0.863792\pi\) | |||||||
\(810\) | 56.8654 | + | 8.53171i | 1.99805 | + | 0.299774i | ||||
\(811\) | − | 38.4889i | − | 1.35153i | −0.737118 | − | 0.675764i | \(-0.763814\pi\) | ||
0.737118 | − | 0.675764i | \(-0.236186\pi\) | |||||||
\(812\) | 0.254526 | − | 4.50321i | 0.00893212 | − | 0.158032i | ||||
\(813\) | 19.8701 | − | 11.6422i | 0.696873 | − | 0.408311i | ||||
\(814\) | −19.2533 | − | 64.3106i | −0.674829 | − | 2.25409i | ||||
\(815\) | 44.5597 | + | 29.3074i | 1.56086 | + | 1.02659i | ||||
\(816\) | −1.97424 | + | 2.68762i | −0.0691123 | + | 0.0940856i | ||||
\(817\) | −19.5363 | + | 18.4315i | −0.683487 | + | 0.644837i | ||||
\(818\) | 28.2804 | + | 10.2932i | 0.988800 | + | 0.359894i | ||||
\(819\) | 2.02884 | + | 0.207321i | 0.0708936 | + | 0.00724440i | ||||
\(820\) | −0.614843 | + | 0.223784i | −0.0214712 | + | 0.00781489i | ||||
\(821\) | 11.8120 | − | 23.5196i | 0.412240 | − | 0.820838i | −0.587691 | − | 0.809086i | \(-0.699963\pi\) |
0.999931 | − | 0.0117523i | \(-0.00374098\pi\) | |||||||
\(822\) | −9.15147 | + | 9.82527i | −0.319194 | + | 0.342696i | ||||
\(823\) | 14.4120 | − | 33.4108i | 0.502372 | − | 1.16463i | −0.458766 | − | 0.888557i | \(-0.651708\pi\) |
0.961137 | − | 0.276071i | \(-0.0890324\pi\) | |||||||
\(824\) | −46.8292 | + | 5.47355i | −1.63137 | + | 0.190680i | ||||
\(825\) | −69.5269 | + | 107.199i | −2.42062 | + | 3.73220i | ||||
\(826\) | −2.86473 | + | 6.67267i | −0.0996767 | + | 0.232172i | ||||
\(827\) | 6.04667 | − | 7.20614i | 0.210263 | − | 0.250582i | −0.650597 | − | 0.759423i | \(-0.725481\pi\) |
0.860861 | + | 0.508841i | \(0.169926\pi\) | |||||||
\(828\) | 1.19918 | − | 0.0852644i | 0.0416744 | − | 0.00296314i | ||||
\(829\) | −4.99797 | − | 5.95634i | −0.173587 | − | 0.206872i | 0.672236 | − | 0.740337i | \(-0.265334\pi\) |
−0.845822 | + | 0.533465i | \(0.820890\pi\) | |||||||
\(830\) | −13.4359 | − | 4.02244i | −0.466367 | − | 0.139621i | ||||
\(831\) | 8.09505 | − | 27.6832i | 0.280814 | − | 0.960321i | ||||
\(832\) | 0.807812 | + | 1.60849i | 0.0280058 | + | 0.0557642i | ||||
\(833\) | −1.23060 | − | 2.82612i | −0.0426376 | − | 0.0979193i | ||||
\(834\) | 7.27655 | + | 2.59581i | 0.251966 | + | 0.0898855i | ||||
\(835\) | 6.35345 | + | 14.7289i | 0.219870 | + | 0.509716i | ||||
\(836\) | −1.57414 | − | 2.72648i | −0.0544426 | − | 0.0942974i | ||||
\(837\) | −1.24243 | + | 5.73057i | −0.0429446 | + | 0.198077i | ||||
\(838\) | 29.1410 | + | 16.8246i | 1.00666 | + | 0.581195i | ||||
\(839\) | −10.7311 | − | 1.25428i | −0.370478 | − | 0.0433027i | −0.0711831 | − | 0.997463i | \(-0.522677\pi\) |
−0.299295 | + | 0.954161i | \(0.596752\pi\) | |||||||
\(840\) | −52.1670 | − | 5.66850i | −1.79993 | − | 0.195582i | ||||
\(841\) | −37.2947 | − | 8.83901i | −1.28602 | − | 0.304793i | ||||
\(842\) | 11.4622 | + | 0.667599i | 0.395015 | + | 0.0230070i | ||||
\(843\) | 8.88393 | − | 17.9754i | 0.305979 | − | 0.619106i | ||||
\(844\) | 2.19163 | − | 0.519427i | 0.0754391 | − | 0.0178794i | ||||
\(845\) | −9.65752 | − | 54.7705i | −0.332229 | − | 1.88416i | ||||
\(846\) | 6.52957 | + | 50.2726i | 0.224491 | + | 1.72841i | ||||
\(847\) | −45.8951 | + | 19.8907i | −1.57698 | + | 0.683454i | ||||
\(848\) | 7.34725 | − | 0.427929i | 0.252306 | − | 0.0146951i | ||||
\(849\) | 0.882381 | + | 7.15183i | 0.0302832 | + | 0.245450i | ||||
\(850\) | 7.07960 | − | 5.27056i | 0.242828 | − | 0.180779i | ||||
\(851\) | −12.7820 | + | 9.51585i | −0.438162 | + | 0.326199i | ||||
\(852\) | −0.360435 | − | 2.92138i | −0.0123483 | − | 0.100085i | ||||
\(853\) | 12.6078 | − | 0.734320i | 0.431682 | − | 0.0251426i | 0.159072 | − | 0.987267i | \(-0.449150\pi\) |
0.272611 | + | 0.962124i | \(0.412113\pi\) | |||||||
\(854\) | −15.6281 | + | 6.77316i | −0.534784 | + | 0.231773i | ||||
\(855\) | −28.3959 | + | 21.7106i | −0.971119 | + | 0.742486i | ||||
\(856\) | −5.09160 | − | 28.8759i | −0.174027 | − | 0.986958i | ||||
\(857\) | 36.1104 | − | 8.55832i | 1.23351 | − | 0.292347i | 0.438380 | − | 0.898790i | \(-0.355552\pi\) |
0.795127 | + | 0.606443i | \(0.207404\pi\) | |||||||
\(858\) | −1.60221 | + | 3.24185i | −0.0546986 | + | 0.110675i | ||||
\(859\) | 11.1657 | + | 0.650327i | 0.380968 | + | 0.0221889i | 0.247561 | − | 0.968872i | \(-0.420371\pi\) |
0.133408 | + | 0.991061i | \(0.457408\pi\) | |||||||
\(860\) | 8.42601 | + | 1.99700i | 0.287325 | + | 0.0680972i | ||||
\(861\) | −0.362560 | + | 3.33662i | −0.0123560 | + | 0.113712i | ||||
\(862\) | 7.45763 | + | 0.871672i | 0.254008 | + | 0.0296893i | ||||
\(863\) | −42.1565 | − | 24.3391i | −1.43503 | − | 0.828512i | −0.437527 | − | 0.899205i | \(-0.644146\pi\) |
−0.997498 | + | 0.0706927i | \(0.977479\pi\) | |||||||
\(864\) | −6.07844 | − | 0.236997i | −0.206793 | − | 0.00806279i | ||||
\(865\) | −28.7896 | − | 49.8651i | −0.978877 | − | 1.69546i | ||||
\(866\) | −7.04893 | − | 16.3412i | −0.239532 | − | 0.555298i | ||||
\(867\) | 27.4167 | + | 9.78053i | 0.931120 | + | 0.332164i | ||||
\(868\) | −0.106667 | + | 0.611069i | −0.00362050 | + | 0.0207410i | ||||
\(869\) | 23.2017 | + | 46.1983i | 0.787063 | + | 1.56717i | ||||
\(870\) | 25.4849 | − | 87.1527i | 0.864021 | − | 2.95475i | ||||
\(871\) | −1.80064 | − | 0.539077i | −0.0610124 | − | 0.0182659i | ||||
\(872\) | −8.31172 | − | 9.90553i | −0.281470 | − | 0.335443i | ||||
\(873\) | −20.4500 | + | 42.0534i | −0.692126 | + | 1.42329i | ||||
\(874\) | −5.10458 | + | 6.08340i | −0.172665 | + | 0.205774i | ||||
\(875\) | 88.7487 | + | 38.1019i | 3.00025 | + | 1.28808i | ||||
\(876\) | 0.648424 | − | 0.999765i | 0.0219082 | − | 0.0337789i | ||||
\(877\) | −52.5326 | + | 6.14018i | −1.77390 | + | 0.207339i | −0.939201 | − | 0.343368i | \(-0.888432\pi\) |
−0.834699 | + | 0.550707i | \(0.814358\pi\) | |||||||
\(878\) | 1.83598 | − | 4.25629i | 0.0619615 | − | 0.143643i | ||||
\(879\) | −28.1440 | + | 30.2161i | −0.949273 | + | 1.01916i | ||||
\(880\) | 46.1433 | − | 91.8789i | 1.55549 | − | 3.09724i | ||||
\(881\) | 4.98498 | − | 1.81439i | 0.167948 | − | 0.0611282i | −0.256678 | − | 0.966497i | \(-0.582628\pi\) |
0.424626 | + | 0.905369i | \(0.360406\pi\) | |||||||
\(882\) | 16.7207 | − | 26.3447i | 0.563016 | − | 0.887071i | ||||
\(883\) | 7.39503 | + | 2.69157i | 0.248863 | + | 0.0905786i | 0.463440 | − | 0.886128i | \(-0.346615\pi\) |
−0.214577 | + | 0.976707i | \(0.568837\pi\) | |||||||
\(884\) | 0.0170984 | − | 0.0161315i | 0.000575080 | − | 0.000542560i | ||||
\(885\) | −8.14445 | + | 11.0874i | −0.273773 | + | 0.372699i | ||||
\(886\) | −1.47490 | − | 0.970055i | −0.0495501 | − | 0.0325896i | ||||
\(887\) | 15.0905 | + | 50.4057i | 0.506689 | + | 1.69246i | 0.702388 | + | 0.711794i | \(0.252117\pi\) |
−0.195699 | + | 0.980664i | \(0.562698\pi\) | |||||||
\(888\) | 32.8786 | − | 19.2642i | 1.10333 | − | 0.646464i | ||||
\(889\) | −18.8306 | − | 1.06432i | −0.631557 | − | 0.0356963i | ||||
\(890\) | − | 60.3418i | − | 2.02266i | ||||||
\(891\) | 28.0896 | + | 40.4146i | 0.941038 | + | 1.35394i | ||||
\(892\) | − | 4.62447i | − | 0.154839i | ||||||
\(893\) | −25.2775 | − | 18.8184i | −0.845878 | − | 0.629733i | ||||
\(894\) | 26.4572 | − | 0.169396i | 0.884860 | − | 0.00566545i | ||||
\(895\) | 37.7730 | − | 11.3085i | 1.26261 | − | 0.378001i | ||||
\(896\) | 33.7337 | − | 0.0579099i | 1.12696 | − | 0.00193463i | ||||
\(897\) | 0.853207 | + | 0.0941923i | 0.0284877 | + | 0.00314499i | ||||
\(898\) | −20.5698 | − | 21.8027i | −0.686422 | − | 0.727564i | ||||
\(899\) | 8.70108 | + | 3.16694i | 0.290197 | + | 0.105623i | ||||
\(900\) | 7.93701 | + | 2.77426i | 0.264567 | + | 0.0924754i | ||||
\(901\) | 0.253507 | + | 0.696505i | 0.00844554 | + | 0.0232039i | ||||
\(902\) | −5.31814 | − | 2.67087i | −0.177075 | − | 0.0889302i | ||||
\(903\) | 28.2747 | − | 34.2575i | 0.940922 | − | 1.14002i | ||||
\(904\) | 0.137666 | − | 0.319145i | 0.00457870 | − | 0.0106146i | ||||
\(905\) | 2.56549 | + | 21.9492i | 0.0852799 | + | 0.729616i | ||||
\(906\) | −51.7958 | − | 2.68413i | −1.72080 | − | 0.0891743i | ||||
\(907\) | −34.0761 | + | 22.4122i | −1.13148 | + | 0.744184i | −0.970099 | − | 0.242708i | \(-0.921964\pi\) |
−0.161378 | + | 0.986893i | \(0.551594\pi\) | |||||||
\(908\) | −1.43366 | − | 1.20298i | −0.0475776 | − | 0.0399223i | ||||
\(909\) | 6.22333 | − | 1.55938i | 0.206415 | − | 0.0517215i | ||||
\(910\) | 4.16299 | + | 1.23854i | 0.138002 | + | 0.0410570i | ||||
\(911\) | −36.8632 | − | 11.0361i | −1.22133 | − | 0.365643i | −0.389685 | − | 0.920948i | \(-0.627416\pi\) |
−0.831647 | + | 0.555305i | \(0.812601\pi\) | |||||||
\(912\) | 15.1712 | − | 14.4980i | 0.502369 | − | 0.480077i | ||||
\(913\) | −5.38761 | − | 10.7276i | −0.178304 | − | 0.355032i | ||||
\(914\) | −25.3964 | − | 23.9602i | −0.840037 | − | 0.792534i | ||||
\(915\) | −31.7420 | + | 5.80677i | −1.04936 | + | 0.191966i | ||||
\(916\) | −1.00281 | + | 0.432571i | −0.0331339 | + | 0.0142926i | ||||
\(917\) | −0.919170 | + | 1.83808i | −0.0303537 | + | 0.0606987i | ||||
\(918\) | −0.847439 | − | 3.29248i | −0.0279697 | − | 0.108668i | ||||
\(919\) | 20.8025 | − | 36.0310i | 0.686212 | − | 1.18855i | −0.286842 | − | 0.957978i | \(-0.592606\pi\) |
0.973054 | − | 0.230576i | \(-0.0740611\pi\) | |||||||
\(920\) | −21.9370 | − | 2.56407i | −0.723243 | − | 0.0845350i | ||||
\(921\) | −2.21374 | − | 5.96313i | −0.0729453 | − | 0.196492i | ||||
\(922\) | 4.90054 | − | 20.6770i | 0.161391 | − | 0.680961i | ||||
\(923\) | 0.122204 | − | 2.09816i | 0.00402239 | − | 0.0690618i | ||||
\(924\) | 3.14298 | + | 4.15097i | 0.103397 | + | 0.136557i | ||||
\(925\) | −108.442 | + | 25.7013i | −3.56556 | + | 0.845052i | ||||
\(926\) | −23.8918 | + | 4.21277i | −0.785134 | + | 0.138440i | ||||
\(927\) | 28.6163 | − | 44.7466i | 0.939881 | − | 1.46967i | ||||
\(928\) | −1.66805 | + | 9.45995i | −0.0547563 | + | 0.310538i | ||||
\(929\) | 2.40533 | + | 41.2979i | 0.0789162 | + | 1.35494i | 0.772707 | + | 0.634762i | \(0.218902\pi\) |
−0.693791 | + | 0.720176i | \(0.744061\pi\) | |||||||
\(930\) | −4.87270 | + | 11.4980i | −0.159782 | + | 0.377036i | ||||
\(931\) | 4.53792 | + | 18.8582i | 0.148724 | + | 0.618054i | ||||
\(932\) | −0.961566 | + | 0.715859i | −0.0314971 | + | 0.0234488i | ||||
\(933\) | 33.8260 | + | 44.8340i | 1.10741 | + | 1.46780i | ||||
\(934\) | 14.3112 | − | 0.833534i | 0.468278 | − | 0.0272741i | ||||
\(935\) | 10.1973 | + | 1.79806i | 0.333488 | + | 0.0588030i | ||||
\(936\) | −2.00327 | − | 0.447772i | −0.0654791 | − | 0.0146359i | ||||
\(937\) | 8.12184 | − | 1.43210i | 0.265329 | − | 0.0467847i | −0.0394008 | − | 0.999223i | \(-0.512545\pi\) |
0.304730 | + | 0.952439i | \(0.401434\pi\) | |||||||
\(938\) | −19.6990 | + | 20.9516i | −0.643194 | + | 0.684094i | ||||
\(939\) | −3.74009 | − | 5.60800i | −0.122053 | − | 0.183010i | ||||
\(940\) | −0.590757 | + | 10.1429i | −0.0192684 | + | 0.330825i | ||||
\(941\) | 25.9650 | + | 6.15381i | 0.846434 | + | 0.200608i | 0.630877 | − | 0.775883i | \(-0.282695\pi\) |
0.215557 | + | 0.976491i | \(0.430843\pi\) | |||||||
\(942\) | −3.42506 | + | 20.1791i | −0.111595 | + | 0.657472i | ||||
\(943\) | −0.163999 | + | 1.40310i | −0.00534056 | + | 0.0456914i | ||||
\(944\) | 4.03826 | − | 6.99447i | 0.131434 | − | 0.227651i | ||||
\(945\) | 42.1401 | − | 41.4576i | 1.37082 | − | 1.34862i | ||||
\(946\) | 39.3805 | + | 68.2091i | 1.28037 | + | 2.21767i | ||||
\(947\) | −28.3663 | + | 12.2360i | −0.921780 | + | 0.397617i | −0.803460 | − | 0.595359i | \(-0.797010\pi\) |
−0.118320 | + | 0.992976i | \(0.537751\pi\) | |||||||
\(948\) | 2.59194 | − | 2.20333i | 0.0841822 | − | 0.0715607i | ||||
\(949\) | 0.583880 | − | 0.618877i | 0.0189536 | − | 0.0200896i | ||||
\(950\) | −49.6316 | + | 24.9259i | −1.61026 | + | 0.808704i | ||||
\(951\) | −4.89933 | − | 20.0976i | −0.158872 | − | 0.651709i | ||||
\(952\) | 0.894914 | + | 2.97065i | 0.0290043 | + | 0.0962793i | ||||
\(953\) | 1.19354 | + | 1.42240i | 0.0386624 | + | 0.0460761i | 0.785029 | − | 0.619459i | \(-0.212648\pi\) |
−0.746367 | + | 0.665535i | \(0.768203\pi\) | |||||||
\(954\) | −4.40312 | + | 6.07530i | −0.142556 | + | 0.196695i | ||||
\(955\) | 11.3553 | − | 13.5327i | 0.367449 | − | 0.437908i | ||||
\(956\) | −3.10588 | − | 4.72226i | −0.100451 | − | 0.152729i | ||||
\(957\) | 69.2288 | − | 35.3249i | 2.23785 | − | 1.14189i | ||||
\(958\) | −3.30942 | − | 28.3139i | −0.106923 | − | 0.914781i | ||||
\(959\) | 2.42030 | + | 13.5898i | 0.0781556 | + | 0.438836i | ||||
\(960\) | 50.8429 | + | 11.7067i | 1.64095 | + | 0.377832i | ||||
\(961\) | 26.5646 | + | 13.3413i | 0.856923 | + | 0.430363i | ||||
\(962\) | −2.96391 | + | 1.07877i | −0.0955601 | + | 0.0347810i | ||||
\(963\) | 28.8156 | + | 16.1483i | 0.928570 | + | 0.520372i | ||||
\(964\) | −0.589053 | + | 1.61841i | −0.0189721 | + | 0.0521254i | ||||
\(965\) | −18.9306 | − | 20.0653i | −0.609397 | − | 0.645923i | ||||
\(966\) | 7.12757 | − | 11.0310i | 0.229326 | − | 0.354917i | ||||
\(967\) | 33.3243 | + | 21.9177i | 1.07164 | + | 0.704826i | 0.957440 | − | 0.288632i | \(-0.0932004\pi\) |
0.114196 | + | 0.993458i | \(0.463571\pi\) | |||||||
\(968\) | 48.2311 | − | 14.4395i | 1.55021 | − | 0.464102i | ||||
\(969\) | 1.83698 | + | 1.04496i | 0.0590124 | + | 0.0335689i | ||||
\(970\) | −59.4705 | + | 79.8827i | −1.90948 | + | 2.56488i | ||||
\(971\) | −52.0010 | −1.66879 | −0.834396 | − | 0.551166i | \(-0.814183\pi\) | ||||
−0.834396 | + | 0.551166i | \(0.814183\pi\) | |||||||
\(972\) | 2.14600 | − | 2.42568i | 0.0688328 | − | 0.0778037i | ||||
\(973\) | 6.62825 | − | 4.37579i | 0.212492 | − | 0.140281i | ||||
\(974\) | 28.4436 | + | 21.1755i | 0.911392 | + | 0.678506i | ||||
\(975\) | 5.21815 | + | 2.96831i | 0.167114 | + | 0.0950622i | ||||
\(976\) | 18.1483 | − | 5.43324i | 0.580913 | − | 0.173914i | ||||
\(977\) | 16.0196 | − | 24.3566i | 0.512513 | − | 0.779238i | −0.482822 | − | 0.875719i | \(-0.660388\pi\) |
0.995335 | + | 0.0964804i | \(0.0307585\pi\) | |||||||
\(978\) | 29.2288 | − | 12.8307i | 0.934635 | − | 0.410279i | ||||
\(979\) | 37.5677 | − | 35.4433i | 1.20067 | − | 1.13277i | ||||
\(980\) | 4.27583 | − | 4.56341i | 0.136586 | − | 0.145773i | ||||
\(981\) | 14.5659 | − | 0.186528i | 0.465054 | − | 0.00595540i | ||||
\(982\) | 2.27072 | − | 0.826476i | 0.0724617 | − | 0.0263739i | ||||
\(983\) | −42.2584 | − | 21.2230i | −1.34783 | − | 0.676907i | −0.379180 | − | 0.925323i | \(-0.623794\pi\) |
−0.968654 | + | 0.248416i | \(0.920090\pi\) | |||||||
\(984\) | 0.757993 | − | 3.29201i | 0.0241639 | − | 0.104945i | ||||
\(985\) | −55.4021 | − | 23.8981i | −1.76526 | − | 0.761457i | ||||
\(986\) | −5.33238 | + | 0.623266i | −0.169818 | + | 0.0198488i | ||||
\(987\) | 45.3444 | + | 25.6910i | 1.44333 | + | 0.817753i | ||||
\(988\) | −0.123586 | + | 0.0812837i | −0.00393179 | + | 0.00258598i | ||||
\(989\) | 12.0175 | − | 14.3219i | 0.382135 | − | 0.455411i | ||||
\(990\) | 42.7455 | + | 95.7066i | 1.35854 | + | 3.04176i | ||||
\(991\) | −0.551781 | + | 0.462999i | −0.0175279 | + | 0.0147076i | −0.651509 | − | 0.758640i | \(-0.725864\pi\) |
0.633982 | + | 0.773348i | \(0.281419\pi\) | |||||||
\(992\) | 0.378891 | − | 1.26558i | 0.0120298 | − | 0.0401823i | ||||
\(993\) | −10.6374 | + | 2.59315i | −0.337568 | + | 0.0822912i | ||||
\(994\) | −27.8757 | − | 16.0303i | −0.884163 | − | 0.508450i | ||||
\(995\) | −72.1349 | − | 68.0557i | −2.28683 | − | 2.15751i | ||||
\(996\) | −0.601868 | + | 0.511630i | −0.0190709 | + | 0.0162116i | ||||
\(997\) | −43.2296 | + | 18.6474i | −1.36910 | + | 0.590571i | −0.948529 | − | 0.316691i | \(-0.897428\pi\) |
−0.420568 | + | 0.907261i | \(0.638169\pi\) | |||||||
\(998\) | 19.8107 | − | 11.4377i | 0.627096 | − | 0.362054i | ||||
\(999\) | −6.64117 | + | 42.4121i | −0.210117 | + | 1.34186i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 567.2.bm.a.104.21 | ✓ | 1260 | |
7.6 | odd | 2 | inner | 567.2.bm.a.104.22 | yes | 1260 | |
81.74 | odd | 54 | inner | 567.2.bm.a.398.22 | yes | 1260 | |
567.398 | even | 54 | inner | 567.2.bm.a.398.21 | yes | 1260 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
567.2.bm.a.104.21 | ✓ | 1260 | 1.1 | even | 1 | trivial | |
567.2.bm.a.104.22 | yes | 1260 | 7.6 | odd | 2 | inner | |
567.2.bm.a.398.21 | yes | 1260 | 567.398 | even | 54 | inner | |
567.2.bm.a.398.22 | yes | 1260 | 81.74 | odd | 54 | inner |