Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 179.15 | ||
Character | \(\chi\) | \(=\) | 192.179 |
Dual form | 192.2.s.a.59.15 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.246732 | − | 1.39252i | −0.174466 | − | 0.984663i | ||||
\(3\) | −0.701166 | − | 1.58378i | −0.404818 | − | 0.914397i | ||||
\(4\) | −1.87825 | + | 0.687161i | −0.939123 | + | 0.343580i | ||||
\(5\) | −0.359364 | − | 1.80664i | −0.160712 | − | 0.807956i | −0.974080 | − | 0.226205i | \(-0.927368\pi\) |
0.813367 | − | 0.581751i | \(-0.197632\pi\) | |||||||
\(6\) | −2.03245 | + | 1.36716i | −0.829746 | + | 0.558141i | ||||
\(7\) | −3.05294 | + | 1.26457i | −1.15390 | + | 0.477963i | −0.875841 | − | 0.482600i | \(-0.839693\pi\) |
−0.278063 | + | 0.960563i | \(0.589693\pi\) | |||||||
\(8\) | 1.42031 | + | 2.44596i | 0.502156 | + | 0.864777i | ||||
\(9\) | −2.01673 | + | 2.22099i | −0.672244 | + | 0.740329i | ||||
\(10\) | −2.42713 | + | 0.946180i | −0.767525 | + | 0.299208i | ||||
\(11\) | 2.05692 | − | 3.07840i | 0.620185 | − | 0.928173i | −0.379810 | − | 0.925065i | \(-0.624011\pi\) |
0.999995 | − | 0.00310847i | \(-0.000989458\pi\) | |||||||
\(12\) | 2.40528 | + | 2.49292i | 0.694343 | + | 0.719644i | ||||
\(13\) | 0.534830 | + | 0.106384i | 0.148335 | + | 0.0295057i | 0.268699 | − | 0.963224i | \(-0.413406\pi\) |
−0.120364 | + | 0.992730i | \(0.538406\pi\) | |||||||
\(14\) | 2.51420 | + | 3.93929i | 0.671949 | + | 1.05282i | ||||
\(15\) | −2.60936 | + | 1.83591i | −0.673733 | + | 0.474030i | ||||
\(16\) | 3.05562 | − | 2.58132i | 0.763905 | − | 0.645329i | ||||
\(17\) | 0.827691 | − | 0.827691i | 0.200745 | − | 0.200745i | −0.599574 | − | 0.800319i | \(-0.704663\pi\) |
0.800319 | + | 0.599574i | \(0.204663\pi\) | |||||||
\(18\) | 3.59037 | + | 2.26036i | 0.846259 | + | 0.532772i | ||||
\(19\) | −6.44815 | − | 1.28262i | −1.47931 | − | 0.294253i | −0.611536 | − | 0.791216i | \(-0.709448\pi\) |
−0.867771 | + | 0.496964i | \(0.834448\pi\) | |||||||
\(20\) | 1.91643 | + | 3.14638i | 0.428527 | + | 0.703552i | ||||
\(21\) | 4.14342 | + | 3.94852i | 0.904169 | + | 0.861639i | ||||
\(22\) | −4.79426 | − | 2.10477i | −1.02214 | − | 0.448739i | ||||
\(23\) | −7.47552 | − | 3.09646i | −1.55875 | − | 0.645657i | −0.573882 | − | 0.818938i | \(-0.694563\pi\) |
−0.984872 | + | 0.173281i | \(0.944563\pi\) | |||||||
\(24\) | 2.87799 | − | 3.96449i | 0.587468 | − | 0.809248i | ||||
\(25\) | 1.48458 | − | 0.614932i | 0.296916 | − | 0.122986i | ||||
\(26\) | 0.0161829 | − | 0.771012i | 0.00317373 | − | 0.151208i | ||||
\(27\) | 4.93163 | + | 1.63679i | 0.949092 | + | 0.315000i | ||||
\(28\) | 4.86522 | − | 4.47304i | 0.919440 | − | 0.845325i | ||||
\(29\) | 0.420063 | − | 0.280677i | 0.0780037 | − | 0.0521204i | −0.515957 | − | 0.856615i | \(-0.672564\pi\) |
0.593961 | + | 0.804494i | \(0.297564\pi\) | |||||||
\(30\) | 3.20036 | + | 3.18061i | 0.584304 | + | 0.580698i | ||||
\(31\) | 2.79490 | 0.501978 | 0.250989 | − | 0.967990i | \(-0.419244\pi\) | ||||
0.250989 | + | 0.967990i | \(0.419244\pi\) | |||||||
\(32\) | −4.34846 | − | 3.61813i | −0.768707 | − | 0.639601i | ||||
\(33\) | −6.31776 | − | 1.09925i | −1.09978 | − | 0.191354i | ||||
\(34\) | −1.35680 | − | 0.948362i | −0.232689 | − | 0.162643i | ||||
\(35\) | 3.38175 | + | 5.06114i | 0.571619 | + | 0.855489i | ||||
\(36\) | 2.26175 | − | 5.55738i | 0.376958 | − | 0.926230i | ||||
\(37\) | −0.213702 | − | 1.07435i | −0.0351323 | − | 0.176622i | 0.959235 | − | 0.282609i | \(-0.0911999\pi\) |
−0.994368 | + | 0.105987i | \(0.966200\pi\) | |||||||
\(38\) | −0.195109 | + | 9.29567i | −0.0316508 | + | 1.50796i | ||||
\(39\) | −0.206515 | − | 0.921647i | −0.0330688 | − | 0.147582i | ||||
\(40\) | 3.90857 | − | 3.44499i | 0.617999 | − | 0.544700i | ||||
\(41\) | 3.82720 | − | 9.23967i | 0.597708 | − | 1.44299i | −0.278204 | − | 0.960522i | \(-0.589739\pi\) |
0.875911 | − | 0.482472i | \(-0.160261\pi\) | |||||||
\(42\) | 4.47610 | − | 6.74405i | 0.690677 | − | 1.04063i | ||||
\(43\) | 3.05140 | − | 4.56674i | 0.465334 | − | 0.696421i | −0.522377 | − | 0.852715i | \(-0.674955\pi\) |
0.987711 | + | 0.156293i | \(0.0499546\pi\) | |||||||
\(44\) | −1.74805 | + | 7.19543i | −0.263528 | + | 1.08475i | ||||
\(45\) | 4.73728 | + | 2.84538i | 0.706191 | + | 0.424164i | ||||
\(46\) | −2.46745 | + | 11.1738i | −0.363805 | + | 1.64749i | ||||
\(47\) | −7.47207 | − | 7.47207i | −1.08991 | − | 1.08991i | −0.995537 | − | 0.0943761i | \(-0.969914\pi\) |
−0.0943761 | − | 0.995537i | \(-0.530086\pi\) | |||||||
\(48\) | −6.23074 | − | 3.02951i | −0.899329 | − | 0.437272i | ||||
\(49\) | 2.77158 | − | 2.77158i | 0.395940 | − | 0.395940i | ||||
\(50\) | −1.22260 | − | 1.91559i | −0.172902 | − | 0.270905i | ||||
\(51\) | −1.89123 | − | 0.730534i | −0.264825 | − | 0.102295i | ||||
\(52\) | −1.07765 | + | 0.167698i | −0.149443 | + | 0.0232556i | ||||
\(53\) | 2.02433 | + | 1.35261i | 0.278063 | + | 0.185796i | 0.686780 | − | 0.726866i | \(-0.259024\pi\) |
−0.408717 | + | 0.912661i | \(0.634024\pi\) | |||||||
\(54\) | 1.06247 | − | 7.27126i | 0.144584 | − | 0.989492i | ||||
\(55\) | −6.30076 | − | 2.60986i | −0.849594 | − | 0.351913i | ||||
\(56\) | −7.42922 | − | 5.67129i | −0.992771 | − | 0.757858i | ||||
\(57\) | 2.48984 | + | 11.1118i | 0.329787 | + | 1.47179i | ||||
\(58\) | −0.494492 | − | 0.515695i | −0.0649300 | − | 0.0677141i | ||||
\(59\) | 10.5918 | − | 2.10685i | 1.37894 | − | 0.274288i | 0.550719 | − | 0.834691i | \(-0.314354\pi\) |
0.828220 | + | 0.560403i | \(0.189354\pi\) | |||||||
\(60\) | 3.63945 | − | 5.24134i | 0.469851 | − | 0.676654i | ||||
\(61\) | 0.153998 | − | 0.102898i | 0.0197175 | − | 0.0131748i | −0.545672 | − | 0.837999i | \(-0.683726\pi\) |
0.565390 | + | 0.824824i | \(0.308726\pi\) | |||||||
\(62\) | −0.689591 | − | 3.89196i | −0.0875782 | − | 0.494280i | ||||
\(63\) | 3.34838 | − | 9.33085i | 0.421856 | − | 1.17558i | ||||
\(64\) | −3.96543 | + | 6.94805i | −0.495678 | + | 0.868506i | ||||
\(65\) | − | 1.00448i | − | 0.124590i | ||||||
\(66\) | 0.0280666 | + | 9.06886i | 0.00345476 | + | 1.11630i | ||||
\(67\) | 1.39419 | + | 2.08655i | 0.170327 | + | 0.254913i | 0.906806 | − | 0.421548i | \(-0.138513\pi\) |
−0.736479 | + | 0.676460i | \(0.763513\pi\) | |||||||
\(68\) | −0.985851 | + | 2.12337i | −0.119552 | + | 0.257496i | ||||
\(69\) | 0.337457 | + | 14.0107i | 0.0406251 | + | 1.68669i | ||||
\(70\) | 6.21338 | − | 5.95791i | 0.742640 | − | 0.712106i | ||||
\(71\) | 5.26483 | + | 12.7104i | 0.624820 | + | 1.50845i | 0.845981 | + | 0.533213i | \(0.179015\pi\) |
−0.221161 | + | 0.975237i | \(0.570985\pi\) | |||||||
\(72\) | −8.29683 | − | 1.77835i | −0.977791 | − | 0.209581i | ||||
\(73\) | −3.57907 | + | 8.64064i | −0.418899 | + | 1.01131i | 0.563769 | + | 0.825933i | \(0.309351\pi\) |
−0.982667 | + | 0.185378i | \(0.940649\pi\) | |||||||
\(74\) | −1.44333 | + | 0.562662i | −0.167784 | + | 0.0654081i | ||||
\(75\) | −2.01485 | − | 1.92008i | −0.232655 | − | 0.221712i | ||||
\(76\) | 12.9926 | − | 2.02185i | 1.49035 | − | 0.231922i | ||||
\(77\) | −2.38681 | + | 11.9993i | −0.272002 | + | 1.36745i | ||||
\(78\) | −1.23246 | + | 0.514977i | −0.139549 | + | 0.0583097i | ||||
\(79\) | 9.99933 | + | 9.99933i | 1.12501 | + | 1.12501i | 0.990976 | + | 0.134036i | \(0.0427939\pi\) |
0.134036 | + | 0.990976i | \(0.457206\pi\) | |||||||
\(80\) | −5.76160 | − | 4.59279i | −0.644166 | − | 0.513489i | ||||
\(81\) | −0.865574 | − | 8.95828i | −0.0961749 | − | 0.995364i | ||||
\(82\) | −13.8108 | − | 3.04974i | −1.52514 | − | 0.336787i | ||||
\(83\) | 1.76923 | − | 8.89454i | 0.194199 | − | 0.976302i | −0.753576 | − | 0.657361i | \(-0.771673\pi\) |
0.947775 | − | 0.318941i | \(-0.103327\pi\) | |||||||
\(84\) | −10.4956 | − | 4.56910i | −1.14517 | − | 0.498530i | ||||
\(85\) | −1.79279 | − | 1.19790i | −0.194455 | − | 0.129931i | ||||
\(86\) | −7.11217 | − | 3.12238i | −0.766925 | − | 0.336695i | ||||
\(87\) | −0.739064 | − | 0.468487i | −0.0792360 | − | 0.0502270i | ||||
\(88\) | 10.4511 | + | 0.658856i | 1.11409 | + | 0.0702343i | ||||
\(89\) | 4.17398 | + | 10.0769i | 0.442441 | + | 1.06815i | 0.975090 | + | 0.221810i | \(0.0711965\pi\) |
−0.532649 | + | 0.846336i | \(0.678803\pi\) | |||||||
\(90\) | 2.79342 | − | 7.29882i | 0.294452 | − | 0.769363i | ||||
\(91\) | −1.76734 | + | 0.351545i | −0.185267 | + | 0.0368519i | ||||
\(92\) | 16.1686 | + | 0.679033i | 1.68570 | + | 0.0707941i | ||||
\(93\) | −1.95969 | − | 4.42651i | −0.203210 | − | 0.459008i | ||||
\(94\) | −8.56143 | + | 12.2486i | −0.883044 | + | 1.26335i | ||||
\(95\) | 12.1104i | 1.24250i | ||||||||
\(96\) | −2.68134 | + | 9.42393i | −0.273663 | + | 0.961826i | ||||
\(97\) | − | 15.1389i | − | 1.53712i | −0.639777 | − | 0.768561i | \(-0.720973\pi\) | ||
0.639777 | − | 0.768561i | \(-0.279027\pi\) | |||||||
\(98\) | −4.54333 | − | 3.17565i | −0.458945 | − | 0.320789i | ||||
\(99\) | 2.68883 | + | 10.7767i | 0.270238 | + | 1.08310i | ||||
\(100\) | −2.36585 | + | 2.17514i | −0.236585 | + | 0.217514i | ||||
\(101\) | −4.20479 | + | 0.836385i | −0.418392 | + | 0.0832234i | −0.399797 | − | 0.916604i | \(-0.630919\pi\) |
−0.0185952 | + | 0.999827i | \(0.505919\pi\) | |||||||
\(102\) | −0.550659 | + | 2.81383i | −0.0545233 | + | 0.278611i | ||||
\(103\) | −3.14426 | − | 7.59092i | −0.309813 | − | 0.747956i | −0.999711 | − | 0.0240486i | \(-0.992344\pi\) |
0.689897 | − | 0.723907i | \(-0.257656\pi\) | |||||||
\(104\) | 0.499414 | + | 1.45927i | 0.0489716 | + | 0.143093i | ||||
\(105\) | 5.64458 | − | 8.90465i | 0.550855 | − | 0.869005i | ||||
\(106\) | 1.38408 | − | 3.15266i | 0.134434 | − | 0.306213i | ||||
\(107\) | −2.57078 | − | 1.71774i | −0.248527 | − | 0.166060i | 0.425067 | − | 0.905162i | \(-0.360250\pi\) |
−0.673594 | + | 0.739101i | \(0.735250\pi\) | |||||||
\(108\) | −10.3875 | + | 0.314533i | −0.999542 | + | 0.0302660i | ||||
\(109\) | −0.569133 | + | 2.86122i | −0.0545130 | + | 0.274056i | −0.998422 | − | 0.0561491i | \(-0.982118\pi\) |
0.943909 | + | 0.330205i | \(0.107118\pi\) | |||||||
\(110\) | −2.07969 | + | 9.41790i | −0.198291 | + | 0.897961i | ||||
\(111\) | −1.55170 | + | 1.09175i | −0.147281 | + | 0.103625i | ||||
\(112\) | −6.06438 | + | 11.7447i | −0.573030 | + | 1.10977i | ||||
\(113\) | −5.94703 | − | 5.94703i | −0.559449 | − | 0.559449i | 0.369701 | − | 0.929151i | \(-0.379460\pi\) |
−0.929151 | + | 0.369701i | \(0.879460\pi\) | |||||||
\(114\) | 14.8591 | − | 6.20879i | 1.39168 | − | 0.581507i | ||||
\(115\) | −2.90777 | + | 14.6184i | −0.271151 | + | 1.36317i | ||||
\(116\) | −0.596111 | + | 0.815831i | −0.0553475 | + | 0.0757480i | ||||
\(117\) | −1.31489 | + | 0.973302i | −0.121561 | + | 0.0899818i | ||||
\(118\) | −5.54718 | − | 14.2295i | −0.510659 | − | 1.30994i | ||||
\(119\) | −1.48022 | + | 3.57357i | −0.135692 | + | 0.327589i | ||||
\(120\) | −8.19666 | − | 3.77481i | −0.748250 | − | 0.344592i | ||||
\(121\) | −1.03611 | − | 2.50139i | −0.0941919 | − | 0.227399i | ||||
\(122\) | −0.181285 | − | 0.189058i | −0.0164128 | − | 0.0171165i | ||||
\(123\) | −17.3171 | + | 0.417093i | −1.56143 | + | 0.0376080i | ||||
\(124\) | −5.24951 | + | 1.92054i | −0.471420 | + | 0.172470i | ||||
\(125\) | −6.76137 | − | 10.1191i | −0.604756 | − | 0.905081i | ||||
\(126\) | −13.8196 | − | 2.36047i | −1.23115 | − | 0.210288i | ||||
\(127\) | 22.0807i | 1.95935i | 0.200602 | + | 0.979673i | \(0.435710\pi\) | ||||
−0.200602 | + | 0.979673i | \(0.564290\pi\) | |||||||
\(128\) | 10.6537 | + | 3.80765i | 0.941665 | + | 0.336552i | ||||
\(129\) | −9.37226 | − | 1.63071i | −0.825181 | − | 0.143576i | ||||
\(130\) | −1.39876 | + | 0.247837i | −0.122679 | + | 0.0217367i | ||||
\(131\) | 11.6039 | − | 7.75347i | 1.01384 | − | 0.677423i | 0.0665400 | − | 0.997784i | \(-0.478804\pi\) |
0.947296 | + | 0.320360i | \(0.103804\pi\) | |||||||
\(132\) | 12.6217 | − | 2.27666i | 1.09858 | − | 0.198158i | ||||
\(133\) | 21.3078 | − | 4.23839i | 1.84762 | − | 0.367515i | ||||
\(134\) | 2.56158 | − | 2.45626i | 0.221287 | − | 0.212188i | ||||
\(135\) | 1.18484 | − | 9.49789i | 0.101975 | − | 0.817449i | ||||
\(136\) | 3.20008 | + | 0.848919i | 0.274404 | + | 0.0727942i | ||||
\(137\) | −8.78236 | − | 3.63777i | −0.750328 | − | 0.310796i | −0.0254526 | − | 0.999676i | \(-0.508103\pi\) |
−0.724875 | + | 0.688880i | \(0.758103\pi\) | |||||||
\(138\) | 19.4270 | − | 3.92682i | 1.65374 | − | 0.334273i | ||||
\(139\) | 9.49037 | + | 6.34126i | 0.804963 | + | 0.537859i | 0.888625 | − | 0.458635i | \(-0.151662\pi\) |
−0.0836617 | + | 0.996494i | \(0.526662\pi\) | |||||||
\(140\) | −9.82957 | − | 7.18227i | −0.830750 | − | 0.607012i | ||||
\(141\) | −6.59497 | + | 17.0733i | −0.555397 | + | 1.43783i | ||||
\(142\) | 16.4006 | − | 10.4675i | 1.37631 | − | 0.878411i | ||||
\(143\) | 1.42760 | − | 1.42760i | 0.119382 | − | 0.119382i | ||||
\(144\) | −0.429299 | + | 11.9923i | −0.0357749 | + | 0.999360i | ||||
\(145\) | −0.658038 | − | 0.658038i | −0.0546471 | − | 0.0546471i | ||||
\(146\) | 12.9154 | + | 2.85202i | 1.06888 | + | 0.236035i | ||||
\(147\) | −6.33291 | − | 2.44624i | −0.522330 | − | 0.201763i | ||||
\(148\) | 1.13964 | + | 1.87105i | 0.0936775 | + | 0.153799i | ||||
\(149\) | 4.81608 | − | 7.20777i | 0.394548 | − | 0.590484i | −0.580012 | − | 0.814608i | \(-0.696952\pi\) |
0.974561 | + | 0.224124i | \(0.0719522\pi\) | |||||||
\(150\) | −2.17663 | + | 3.27948i | −0.177721 | + | 0.267768i | ||||
\(151\) | 1.60104 | − | 3.86526i | 0.130291 | − | 0.314551i | −0.845249 | − | 0.534373i | \(-0.820548\pi\) |
0.975540 | + | 0.219822i | \(0.0705478\pi\) | |||||||
\(152\) | −6.02116 | − | 17.5936i | −0.488380 | − | 1.42703i | ||||
\(153\) | 0.169060 | + | 3.50752i | 0.0136677 | + | 0.283567i | ||||
\(154\) | 17.2982 | + | 0.363076i | 1.39393 | + | 0.0292575i | ||||
\(155\) | −1.00438 | − | 5.04938i | −0.0806741 | − | 0.405576i | ||||
\(156\) | 1.02121 | + | 1.58917i | 0.0817619 | + | 0.127236i | ||||
\(157\) | −5.75579 | − | 8.61415i | −0.459362 | − | 0.687484i | 0.527407 | − | 0.849613i | \(-0.323164\pi\) |
−0.986770 | + | 0.162128i | \(0.948164\pi\) | |||||||
\(158\) | 11.4572 | − | 16.3915i | 0.911482 | − | 1.30404i | ||||
\(159\) | 0.722854 | − | 4.15450i | 0.0573261 | − | 0.329473i | ||||
\(160\) | −4.97399 | + | 9.15635i | −0.393229 | + | 0.723873i | ||||
\(161\) | 26.7381 | 2.10725 | ||||||||
\(162\) | −12.2611 | + | 3.41563i | −0.963319 | + | 0.268357i | ||||
\(163\) | 0.602415 | − | 0.402521i | 0.0471847 | − | 0.0315278i | −0.531754 | − | 0.846899i | \(-0.678467\pi\) |
0.578939 | + | 0.815371i | \(0.303467\pi\) | |||||||
\(164\) | −0.839278 | + | 19.9843i | −0.0655366 | + | 1.56051i | ||||
\(165\) | 0.284426 | + | 11.8090i | 0.0221426 | + | 0.919328i | ||||
\(166\) | −12.8224 | − | 0.269132i | −0.995210 | − | 0.0208887i | ||||
\(167\) | −3.14806 | + | 1.30397i | −0.243604 | + | 0.100904i | −0.501145 | − | 0.865363i | \(-0.667088\pi\) |
0.257541 | + | 0.966267i | \(0.417088\pi\) | |||||||
\(168\) | −3.77297 | + | 15.7428i | −0.291091 | + | 1.21458i | ||||
\(169\) | −11.7357 | − | 4.86109i | −0.902747 | − | 0.373930i | ||||
\(170\) | −1.22577 | + | 2.79206i | −0.0940121 | + | 0.214141i | ||||
\(171\) | 15.8529 | − | 11.7346i | 1.21230 | − | 0.897365i | ||||
\(172\) | −2.59319 | + | 10.6743i | −0.197729 | + | 0.813905i | ||||
\(173\) | 0.0807891 | + | 0.0160700i | 0.00614228 | + | 0.00122178i | 0.198161 | − | 0.980170i | \(-0.436503\pi\) |
−0.192018 | + | 0.981391i | \(0.561503\pi\) | |||||||
\(174\) | −0.470028 | + | 1.14476i | −0.0356327 | + | 0.0867837i | ||||
\(175\) | −3.75471 | + | 3.75471i | −0.283829 | + | 0.283829i | ||||
\(176\) | −1.66115 | − | 14.7160i | −0.125214 | − | 1.10926i | ||||
\(177\) | −10.7634 | − | 15.2979i | −0.809028 | − | 1.14986i | ||||
\(178\) | 13.0024 | − | 8.29865i | 0.974573 | − | 0.622010i | ||||
\(179\) | −15.2598 | − | 3.03535i | −1.14057 | − | 0.226873i | −0.411563 | − | 0.911381i | \(-0.635017\pi\) |
−0.729005 | + | 0.684508i | \(0.760017\pi\) | |||||||
\(180\) | −10.8530 | − | 2.08905i | −0.808935 | − | 0.155708i | ||||
\(181\) | 9.09877 | − | 13.6173i | 0.676306 | − | 1.01216i | −0.321561 | − | 0.946889i | \(-0.604207\pi\) |
0.997867 | − | 0.0652752i | \(-0.0207925\pi\) | |||||||
\(182\) | 0.925594 | + | 2.37432i | 0.0686096 | + | 0.175996i | ||||
\(183\) | −0.270947 | − | 0.171751i | −0.0200290 | − | 0.0126962i | ||||
\(184\) | −3.04376 | − | 22.6828i | −0.224389 | − | 1.67220i | ||||
\(185\) | −1.86417 | + | 0.772166i | −0.137057 | + | 0.0567708i | ||||
\(186\) | −5.68050 | + | 3.82107i | −0.416515 | + | 0.280175i | ||||
\(187\) | −0.845470 | − | 4.25046i | −0.0618269 | − | 0.310825i | ||||
\(188\) | 19.1689 | + | 8.89987i | 1.39804 | + | 0.649090i | ||||
\(189\) | −17.1258 | + | 1.23937i | −1.24572 | + | 0.0901512i | ||||
\(190\) | 16.8641 | − | 2.98804i | 1.22345 | − | 0.216775i | ||||
\(191\) | 1.98808 | 0.143852 | 0.0719260 | − | 0.997410i | \(-0.477085\pi\) | ||||
0.0719260 | + | 0.997410i | \(0.477085\pi\) | |||||||
\(192\) | 13.7846 | + | 1.40864i | 0.994819 | + | 0.101660i | ||||
\(193\) | 11.9983 | 0.863656 | 0.431828 | − | 0.901956i | \(-0.357869\pi\) | ||||
0.431828 | + | 0.901956i | \(0.357869\pi\) | |||||||
\(194\) | −21.0813 | + | 3.73525i | −1.51355 | + | 0.268175i | ||||
\(195\) | −1.59087 | + | 0.704306i | −0.113925 | + | 0.0504364i | ||||
\(196\) | −3.30119 | + | 7.11023i | −0.235799 | + | 0.507873i | ||||
\(197\) | −0.501219 | − | 2.51980i | −0.0357103 | − | 0.179528i | 0.958814 | − | 0.284036i | \(-0.0916734\pi\) |
−0.994524 | + | 0.104508i | \(0.966673\pi\) | |||||||
\(198\) | 14.3434 | − | 6.40322i | 1.01934 | − | 0.455057i | ||||
\(199\) | 1.03878 | − | 0.430275i | 0.0736368 | − | 0.0305014i | −0.345561 | − | 0.938396i | \(-0.612311\pi\) |
0.419198 | + | 0.907895i | \(0.362311\pi\) | |||||||
\(200\) | 3.61266 | + | 2.75782i | 0.255454 | + | 0.195007i | ||||
\(201\) | 2.32708 | − | 3.67111i | 0.164140 | − | 0.258940i | ||||
\(202\) | 2.20214 | + | 5.64891i | 0.154942 | + | 0.397456i | ||||
\(203\) | −0.927492 | + | 1.38809i | −0.0650972 | + | 0.0974248i | ||||
\(204\) | 4.05419 | + | 0.0725425i | 0.283850 | + | 0.00507899i | ||||
\(205\) | −18.0682 | − | 3.59398i | −1.26193 | − | 0.251014i | ||||
\(206\) | −9.79475 | + | 6.25139i | −0.682433 | + | 0.435555i | ||||
\(207\) | 21.9533 | − | 10.3583i | 1.52586 | − | 0.719952i | ||||
\(208\) | 1.90885 | − | 1.05549i | 0.132355 | − | 0.0731854i | ||||
\(209\) | −17.2118 | + | 17.2118i | −1.19056 | + | 1.19056i | ||||
\(210\) | −13.7926 | − | 5.66315i | −0.951782 | − | 0.390795i | ||||
\(211\) | 14.1029 | + | 2.80524i | 0.970885 | + | 0.193121i | 0.654960 | − | 0.755663i | \(-0.272685\pi\) |
0.315924 | + | 0.948784i | \(0.397685\pi\) | |||||||
\(212\) | −4.73165 | − | 1.14950i | −0.324971 | − | 0.0789480i | ||||
\(213\) | 16.4390 | − | 17.2505i | 1.12638 | − | 1.18198i | ||||
\(214\) | −1.75770 | + | 4.00370i | −0.120154 | + | 0.273687i | ||||
\(215\) | −9.34703 | − | 3.87167i | −0.637462 | − | 0.264046i | ||||
\(216\) | 3.00094 | + | 14.3873i | 0.204188 | + | 0.978932i | ||||
\(217\) | −8.53266 | + | 3.53434i | −0.579235 | + | 0.239927i | ||||
\(218\) | 4.12475 | + | 0.0865751i | 0.279363 | + | 0.00586361i | ||||
\(219\) | 16.1944 | − | 0.390052i | 1.09432 | − | 0.0263573i | ||||
\(220\) | 13.6278 | + | 0.572324i | 0.918784 | + | 0.0385861i | ||||
\(221\) | 0.530727 | − | 0.354621i | 0.0357006 | − | 0.0238544i | ||||
\(222\) | 1.90315 | + | 1.89141i | 0.127731 | + | 0.126943i | ||||
\(223\) | 17.0025 | 1.13857 | 0.569286 | − | 0.822140i | \(-0.307220\pi\) | ||||
0.569286 | + | 0.822140i | \(0.307220\pi\) | |||||||
\(224\) | 17.8510 | + | 5.54701i | 1.19272 | + | 0.370625i | ||||
\(225\) | −1.62824 | + | 4.53738i | −0.108549 | + | 0.302492i | ||||
\(226\) | −6.81406 | + | 9.74870i | −0.453264 | + | 0.648474i | ||||
\(227\) | 9.29893 | + | 13.9168i | 0.617192 | + | 0.923693i | 1.00000 | 0.000135074i | \(-4.29954e-5\pi\) | |
−0.382808 | + | 0.923828i | \(0.625043\pi\) | |||||||
\(228\) | −12.3121 | − | 19.1598i | −0.815390 | − | 1.26889i | ||||
\(229\) | −1.72964 | − | 8.69549i | −0.114298 | − | 0.574614i | −0.994909 | − | 0.100775i | \(-0.967868\pi\) |
0.880611 | − | 0.473839i | \(-0.157132\pi\) | |||||||
\(230\) | 21.0739 | + | 0.442324i | 1.38957 | + | 0.0291660i | ||||
\(231\) | 20.6778 | − | 4.63332i | 1.36050 | − | 0.304850i | ||||
\(232\) | 1.28314 | + | 0.628807i | 0.0842425 | + | 0.0412832i | ||||
\(233\) | −4.61203 | + | 11.1344i | −0.302144 | + | 0.729441i | 0.697770 | + | 0.716322i | \(0.254176\pi\) |
−0.999914 | + | 0.0131185i | \(0.995824\pi\) | |||||||
\(234\) | 1.67977 | + | 1.59087i | 0.109810 | + | 0.103998i | ||||
\(235\) | −10.8142 | + | 16.1846i | −0.705439 | + | 1.05576i | ||||
\(236\) | −18.4463 | + | 11.2355i | −1.20075 | + | 0.731367i | ||||
\(237\) | 8.82558 | − | 22.8480i | 0.573283 | − | 1.48413i | ||||
\(238\) | 5.34150 | + | 1.17953i | 0.346238 | + | 0.0764575i | ||||
\(239\) | −12.7729 | − | 12.7729i | −0.826209 | − | 0.826209i | 0.160781 | − | 0.986990i | \(-0.448599\pi\) |
−0.986990 | + | 0.160781i | \(0.948599\pi\) | |||||||
\(240\) | −3.23414 | + | 12.3454i | −0.208763 | + | 0.796893i | ||||
\(241\) | −1.12018 | + | 1.12018i | −0.0721574 | + | 0.0721574i | −0.742264 | − | 0.670107i | \(-0.766248\pi\) |
0.670107 | + | 0.742264i | \(0.266248\pi\) | |||||||
\(242\) | −3.22761 | + | 2.05998i | −0.207478 | + | 0.132421i | ||||
\(243\) | −13.5811 | + | 7.65212i | −0.871225 | + | 0.490884i | ||||
\(244\) | −0.218539 | + | 0.299090i | −0.0139905 | + | 0.0191473i | ||||
\(245\) | −6.00326 | − | 4.01125i | −0.383534 | − | 0.256269i | ||||
\(246\) | 4.85351 | + | 24.0116i | 0.309448 | + | 1.53092i | ||||
\(247\) | −3.31221 | − | 1.37196i | −0.210751 | − | 0.0872960i | ||||
\(248\) | 3.96963 | + | 6.83620i | 0.252072 | + | 0.434099i | ||||
\(249\) | −15.3275 | + | 3.43446i | −0.971343 | + | 0.217650i | ||||
\(250\) | −12.4229 | + | 11.9121i | −0.785691 | + | 0.753387i | ||||
\(251\) | −4.95413 | + | 0.985437i | −0.312702 | + | 0.0622002i | −0.348946 | − | 0.937143i | \(-0.613460\pi\) |
0.0362446 | + | 0.999343i | \(0.488460\pi\) | |||||||
\(252\) | 0.122721 | + | 19.8265i | 0.00773069 | + | 1.24895i | ||||
\(253\) | −24.9087 | + | 16.6435i | −1.56600 | + | 1.04637i | ||||
\(254\) | 30.7479 | − | 5.44802i | 1.92930 | − | 0.341839i | ||||
\(255\) | −0.640175 | + | 3.67931i | −0.0400893 | + | 0.230407i | ||||
\(256\) | 2.67362 | − | 15.7750i | 0.167101 | − | 0.985940i | ||||
\(257\) | 21.3362i | 1.33092i | 0.746435 | + | 0.665458i | \(0.231764\pi\) | ||||
−0.746435 | + | 0.665458i | \(0.768236\pi\) | |||||||
\(258\) | 0.0416362 | + | 13.4534i | 0.00259216 | + | 0.837575i | ||||
\(259\) | 2.01101 | + | 3.00969i | 0.124958 | + | 0.187013i | ||||
\(260\) | 0.690238 | + | 1.88666i | 0.0428068 | + | 0.117006i | ||||
\(261\) | −0.223774 | + | 1.49900i | −0.0138513 | + | 0.0927860i | ||||
\(262\) | −13.6599 | − | 14.2457i | −0.843914 | − | 0.880099i | ||||
\(263\) | −1.14122 | − | 2.75514i | −0.0703705 | − | 0.169889i | 0.884781 | − | 0.466007i | \(-0.154308\pi\) |
−0.955151 | + | 0.296118i | \(0.904308\pi\) | |||||||
\(264\) | −6.28448 | − | 17.0143i | −0.386783 | − | 1.04716i | ||||
\(265\) | 1.71622 | − | 4.14332i | 0.105426 | − | 0.254522i | ||||
\(266\) | −11.1594 | − | 28.6259i | −0.684225 | − | 1.75517i | ||||
\(267\) | 13.0329 | − | 13.6762i | 0.797602 | − | 0.836972i | ||||
\(268\) | −4.05242 | − | 2.96102i | −0.247541 | − | 0.180873i | ||||
\(269\) | 2.86161 | − | 14.3863i | 0.174476 | − | 0.877148i | −0.790026 | − | 0.613073i | \(-0.789933\pi\) |
0.964502 | − | 0.264075i | \(-0.0850668\pi\) | |||||||
\(270\) | −13.5184 | + | 0.693516i | −0.822703 | + | 0.0422060i | ||||
\(271\) | −14.9476 | − | 14.9476i | −0.907999 | − | 0.907999i | 0.0881113 | − | 0.996111i | \(-0.471917\pi\) |
−0.996111 | + | 0.0881113i | \(0.971917\pi\) | |||||||
\(272\) | 0.392577 | − | 4.66564i | 0.0238035 | − | 0.282896i | ||||
\(273\) | 1.79597 | + | 2.55258i | 0.108697 | + | 0.154489i | ||||
\(274\) | −2.89880 | + | 13.1272i | −0.175123 | + | 0.793044i | ||||
\(275\) | 1.16065 | − | 5.83499i | 0.0699900 | − | 0.351863i | ||||
\(276\) | −10.2615 | − | 26.0837i | −0.617667 | − | 1.57006i | ||||
\(277\) | 0.819369 | + | 0.547485i | 0.0492311 | + | 0.0328952i | 0.579942 | − | 0.814658i | \(-0.303075\pi\) |
−0.530711 | + | 0.847553i | \(0.678075\pi\) | |||||||
\(278\) | 6.48878 | − | 14.7802i | 0.389171 | − | 0.886456i | ||||
\(279\) | −5.63656 | + | 6.20743i | −0.337452 | + | 0.371629i | ||||
\(280\) | −7.57621 | + | 15.4600i | −0.452765 | + | 0.923912i | ||||
\(281\) | 5.35268 | + | 12.9225i | 0.319314 | + | 0.770893i | 0.999291 | + | 0.0376590i | \(0.0119901\pi\) |
−0.679976 | + | 0.733234i | \(0.738010\pi\) | |||||||
\(282\) | 25.4021 | + | 4.97113i | 1.51268 | + | 0.296026i | ||||
\(283\) | −2.79329 | + | 0.555619i | −0.166044 | + | 0.0330281i | −0.277412 | − | 0.960751i | \(-0.589477\pi\) |
0.111368 | + | 0.993779i | \(0.464477\pi\) | |||||||
\(284\) | −18.6228 | − | 20.2555i | −1.10506 | − | 1.20194i | ||||
\(285\) | 19.1803 | − | 8.49143i | 1.13614 | − | 0.502989i | ||||
\(286\) | −2.34020 | − | 1.63573i | −0.138379 | − | 0.0967227i | ||||
\(287\) | 33.0480i | 1.95076i | ||||||||
\(288\) | 16.8055 | − | 2.36108i | 0.990274 | − | 0.139128i | ||||
\(289\) | 15.6299i | 0.919403i | ||||||||
\(290\) | −0.753975 | + | 1.07869i | −0.0442749 | + | 0.0633431i | ||||
\(291\) | −23.9767 | + | 10.6149i | −1.40554 | + | 0.622255i | ||||
\(292\) | 0.784866 | − | 18.6887i | 0.0459308 | − | 1.09367i | ||||
\(293\) | −28.5066 | + | 5.67031i | −1.66537 | + | 0.331263i | −0.935771 | − | 0.352609i | \(-0.885294\pi\) |
−0.729602 | + | 0.683872i | \(0.760294\pi\) | |||||||
\(294\) | −1.84392 | + | 9.42230i | −0.107539 | + | 0.549520i | ||||
\(295\) | −7.61264 | − | 18.3785i | −0.443225 | − | 1.07004i | ||||
\(296\) | 2.32429 | − | 2.04862i | 0.135097 | − | 0.119074i | ||||
\(297\) | 15.1827 | − | 11.8148i | 0.880987 | − | 0.685563i | ||||
\(298\) | −11.2253 | − | 4.92812i | −0.650263 | − | 0.285478i | ||||
\(299\) | −3.66872 | − | 2.45136i | −0.212168 | − | 0.141766i | ||||
\(300\) | 5.10379 | + | 2.22185i | 0.294668 | + | 0.128279i | ||||
\(301\) | −3.54078 | + | 17.8007i | −0.204087 | + | 1.02602i | ||||
\(302\) | −5.77750 | − | 1.27581i | −0.332458 | − | 0.0734145i | ||||
\(303\) | 4.27291 | + | 6.07303i | 0.245472 | + | 0.348886i | ||||
\(304\) | −23.0139 | + | 12.7255i | −1.31994 | + | 0.729859i | ||||
\(305\) | −0.241242 | − | 0.241242i | −0.0138135 | − | 0.0138135i | ||||
\(306\) | 4.84260 | − | 1.10084i | 0.276833 | − | 0.0629308i | ||||
\(307\) | 2.86761 | − | 14.4164i | 0.163663 | − | 0.822790i | −0.808502 | − | 0.588493i | \(-0.799721\pi\) |
0.972165 | − | 0.234296i | \(-0.0752786\pi\) | |||||||
\(308\) | −3.76244 | − | 24.1778i | −0.214385 | − | 1.37766i | ||||
\(309\) | −9.81772 | + | 10.3023i | −0.558510 | + | 0.586079i | ||||
\(310\) | −6.78357 | + | 2.64448i | −0.385281 | + | 0.150196i | ||||
\(311\) | −1.95981 | + | 4.73141i | −0.111131 | + | 0.268294i | −0.969654 | − | 0.244481i | \(-0.921382\pi\) |
0.858523 | + | 0.512775i | \(0.171382\pi\) | |||||||
\(312\) | 1.96100 | − | 1.81415i | 0.111020 | − | 0.102706i | ||||
\(313\) | −0.752332 | − | 1.81629i | −0.0425243 | − | 0.102663i | 0.901190 | − | 0.433424i | \(-0.142695\pi\) |
−0.943715 | + | 0.330761i | \(0.892695\pi\) | |||||||
\(314\) | −10.5753 | + | 10.1405i | −0.596797 | + | 0.572260i | ||||
\(315\) | −18.0608 | − | 2.69615i | −1.01761 | − | 0.151911i | ||||
\(316\) | −25.6524 | − | 11.9101i | −1.44306 | − | 0.669993i | ||||
\(317\) | −6.37904 | − | 9.54690i | −0.358282 | − | 0.536208i | 0.607918 | − | 0.794000i | \(-0.292005\pi\) |
−0.966200 | + | 0.257792i | \(0.917005\pi\) | |||||||
\(318\) | −5.96359 | + | 0.0184563i | −0.334422 | + | 0.00103498i | ||||
\(319\) | − | 1.87045i | − | 0.104725i | ||||||
\(320\) | 13.9777 | + | 4.66724i | 0.781376 | + | 0.260907i | ||||
\(321\) | −0.917985 | + | 5.27598i | −0.0512369 | + | 0.294477i | ||||
\(322\) | −6.59714 | − | 37.2334i | −0.367644 | − | 2.07494i | ||||
\(323\) | −6.39869 | + | 4.27547i | −0.356033 | + | 0.237893i | ||||
\(324\) | 7.78154 | + | 16.2311i | 0.432308 | + | 0.901726i | ||||
\(325\) | 0.859416 | − | 0.170948i | 0.0476718 | − | 0.00948251i | ||||
\(326\) | −0.709155 | − | 0.739562i | −0.0392764 | − | 0.0409605i | ||||
\(327\) | 4.93061 | − | 1.10481i | 0.272663 | − | 0.0610961i | ||||
\(328\) | 28.0357 | − | 3.76205i | 1.54801 | − | 0.207724i | ||||
\(329\) | 32.2607 | + | 13.3628i | 1.77859 | + | 0.736717i | ||||
\(330\) | 16.3741 | − | 3.30973i | 0.901365 | − | 0.182194i | ||||
\(331\) | −28.1107 | − | 18.7830i | −1.54510 | − | 1.03240i | −0.977962 | − | 0.208784i | \(-0.933050\pi\) |
−0.567141 | − | 0.823621i | \(-0.691950\pi\) | |||||||
\(332\) | 2.78892 | + | 17.9219i | 0.153062 | + | 0.983591i | ||||
\(333\) | 2.81710 | + | 1.69205i | 0.154376 | + | 0.0927238i | ||||
\(334\) | 2.59254 | + | 4.06202i | 0.141857 | + | 0.222264i | ||||
\(335\) | 3.26863 | − | 3.26863i | 0.178584 | − | 0.178584i | ||||
\(336\) | 22.8531 | + | 1.36970i | 1.24674 | + | 0.0747235i | ||||
\(337\) | −2.58232 | − | 2.58232i | −0.140668 | − | 0.140668i | 0.633266 | − | 0.773934i | \(-0.281714\pi\) |
−0.773934 | + | 0.633266i | \(0.781714\pi\) | |||||||
\(338\) | −3.87361 | + | 17.5416i | −0.210696 | + | 0.954140i | ||||
\(339\) | −5.24895 | + | 13.5887i | −0.285084 | + | 0.738034i | ||||
\(340\) | 4.19044 | + | 1.01802i | 0.227259 | + | 0.0552099i | ||||
\(341\) | 5.74889 | − | 8.60382i | 0.311320 | − | 0.465923i | ||||
\(342\) | −20.2521 | − | 19.1802i | −1.09511 | − | 1.03715i | ||||
\(343\) | 3.89538 | − | 9.40427i | 0.210331 | − | 0.507783i | ||||
\(344\) | 15.5040 | + | 0.977398i | 0.835919 | + | 0.0526978i | ||||
\(345\) | 25.1911 | − | 5.64462i | 1.35625 | − | 0.303896i | ||||
\(346\) | 0.00244452 | − | 0.116466i | 0.000131418 | − | 0.00626124i | ||||
\(347\) | 5.96824 | + | 30.0043i | 0.320392 | + | 1.61072i | 0.719961 | + | 0.694015i | \(0.244160\pi\) |
−0.399569 | + | 0.916703i | \(0.630840\pi\) | |||||||
\(348\) | 1.71007 | + | 0.372077i | 0.0916694 | + | 0.0199454i | ||||
\(349\) | 6.31423 | + | 9.44991i | 0.337993 | + | 0.505842i | 0.961065 | − | 0.276322i | \(-0.0891157\pi\) |
−0.623072 | + | 0.782164i | \(0.714116\pi\) | |||||||
\(350\) | 6.15493 | + | 4.30211i | 0.328995 | + | 0.229958i | ||||
\(351\) | 2.46345 | + | 1.40005i | 0.131489 | + | 0.0747291i | ||||
\(352\) | −20.0825 | + | 5.94411i | −1.07040 | + | 0.316822i | ||||
\(353\) | 18.7391 | 0.997379 | 0.498690 | − | 0.866781i | \(-0.333815\pi\) | ||||
0.498690 | + | 0.866781i | \(0.333815\pi\) | |||||||
\(354\) | −18.6470 | + | 18.7628i | −0.991078 | + | 0.997231i | ||||
\(355\) | 21.0712 | − | 14.0793i | 1.11834 | − | 0.747254i | ||||
\(356\) | −14.7642 | − | 16.0587i | −0.782500 | − | 0.851107i | ||||
\(357\) | 6.69764 | − | 0.161317i | 0.354476 | − | 0.00853778i | ||||
\(358\) | −0.461731 | + | 21.9985i | −0.0244032 | + | 1.16266i | ||||
\(359\) | 18.0775 | − | 7.48794i | 0.954094 | − | 0.395199i | 0.149326 | − | 0.988788i | \(-0.452290\pi\) |
0.804768 | + | 0.593590i | \(0.202290\pi\) | |||||||
\(360\) | −0.231263 | + | 15.6285i | −0.0121887 | + | 0.823694i | ||||
\(361\) | 22.3798 | + | 9.27003i | 1.17789 | + | 0.487896i | ||||
\(362\) | −21.2073 | − | 9.31044i | −1.11463 | − | 0.489346i | ||||
\(363\) | −3.23518 | + | 3.39486i | −0.169803 | + | 0.178184i | ||||
\(364\) | 3.07793 | − | 1.87473i | 0.161327 | − | 0.0982627i | ||||
\(365\) | 16.8968 | + | 3.36097i | 0.884417 | + | 0.175921i | ||||
\(366\) | −0.172316 | + | 0.419677i | −0.00900711 | + | 0.0219369i | ||||
\(367\) | −1.66204 | + | 1.66204i | −0.0867576 | + | 0.0867576i | −0.749154 | − | 0.662396i | \(-0.769540\pi\) |
0.662396 | + | 0.749154i | \(0.269540\pi\) | |||||||
\(368\) | −30.8353 | + | 9.83507i | −1.60740 | + | 0.512689i | ||||
\(369\) | 12.8028 | + | 27.1341i | 0.666485 | + | 1.41255i | ||||
\(370\) | 1.53521 | + | 2.40539i | 0.0798118 | + | 0.125050i | ||||
\(371\) | −7.89063 | − | 1.56954i | −0.409661 | − | 0.0814867i | ||||
\(372\) | 6.72250 | + | 6.96745i | 0.348545 | + | 0.361246i | ||||
\(373\) | 3.60356 | − | 5.39311i | 0.186585 | − | 0.279245i | −0.726370 | − | 0.687304i | \(-0.758794\pi\) |
0.912956 | + | 0.408059i | \(0.133794\pi\) | |||||||
\(374\) | −5.71027 | + | 2.22606i | −0.295271 | + | 0.115107i | ||||
\(375\) | −11.2856 | + | 17.8037i | −0.582787 | + | 0.919380i | ||||
\(376\) | 7.66370 | − | 28.8890i | 0.395225 | − | 1.48984i | ||||
\(377\) | 0.254522 | − | 0.105426i | 0.0131085 | − | 0.00542973i | ||||
\(378\) | 5.95135 | + | 23.5423i | 0.306104 | + | 1.21089i | ||||
\(379\) | 0.395416 | + | 1.98789i | 0.0203112 | + | 0.102111i | 0.989611 | − | 0.143770i | \(-0.0459226\pi\) |
−0.969300 | + | 0.245881i | \(0.920923\pi\) | |||||||
\(380\) | −8.32182 | − | 22.7464i | −0.426900 | − | 1.16687i | ||||
\(381\) | 34.9710 | − | 15.4822i | 1.79162 | − | 0.793179i | ||||
\(382\) | −0.490522 | − | 2.76844i | −0.0250973 | − | 0.141646i | ||||
\(383\) | 24.1070 | 1.23181 | 0.615905 | − | 0.787821i | \(-0.288791\pi\) | ||||
0.615905 | + | 0.787821i | \(0.288791\pi\) | |||||||
\(384\) | −1.43954 | − | 19.5430i | −0.0734614 | − | 0.997298i | ||||
\(385\) | 22.5362 | 1.14855 | ||||||||
\(386\) | −2.96037 | − | 16.7079i | −0.150679 | − | 0.850410i | ||||
\(387\) | 3.98882 | + | 15.9870i | 0.202763 | + | 0.812666i | ||||
\(388\) | 10.4029 | + | 28.4346i | 0.528125 | + | 1.44355i | ||||
\(389\) | −7.20317 | − | 36.2128i | −0.365215 | − | 1.83606i | −0.527802 | − | 0.849367i | \(-0.676984\pi\) |
0.162587 | − | 0.986694i | \(-0.448016\pi\) | |||||||
\(390\) | 1.37328 | + | 2.04156i | 0.0695389 | + | 0.103378i | ||||
\(391\) | −8.75034 | + | 3.62451i | −0.442524 | + | 0.183299i | ||||
\(392\) | 10.7157 | + | 2.84266i | 0.541223 | + | 0.143576i | ||||
\(393\) | −20.4160 | − | 12.9416i | −1.02985 | − | 0.652815i | ||||
\(394\) | −3.38521 | + | 1.31967i | −0.170544 | + | 0.0664842i | ||||
\(395\) | 14.4718 | − | 21.6586i | 0.728157 | − | 1.08976i | ||||
\(396\) | −12.4556 | − | 18.3937i | −0.625919 | − | 0.924317i | ||||
\(397\) | 30.1732 | + | 6.00182i | 1.51435 | + | 0.301223i | 0.881176 | − | 0.472788i | \(-0.156752\pi\) |
0.633173 | + | 0.774011i | \(0.281752\pi\) | |||||||
\(398\) | −0.855467 | − | 1.34036i | −0.0428807 | − | 0.0671860i | ||||
\(399\) | −21.6530 | − | 30.7751i | −1.08400 | − | 1.54068i | ||||
\(400\) | 2.94897 | − | 5.71116i | 0.147449 | − | 0.285558i | ||||
\(401\) | −9.14394 | + | 9.14394i | −0.456626 | + | 0.456626i | −0.897546 | − | 0.440920i | \(-0.854652\pi\) |
0.440920 | + | 0.897546i | \(0.354652\pi\) | |||||||
\(402\) | −5.68627 | − | 2.33474i | −0.283605 | − | 0.116446i | ||||
\(403\) | 1.49479 | + | 0.297333i | 0.0744610 | + | 0.0148112i | ||||
\(404\) | 7.32290 | − | 4.46030i | 0.364328 | − | 0.221908i | ||||
\(405\) | −15.8734 | + | 4.78307i | −0.788754 | + | 0.237672i | ||||
\(406\) | 2.16179 | + | 0.949068i | 0.107288 | + | 0.0471015i | ||||
\(407\) | −3.74685 | − | 1.55200i | −0.185725 | − | 0.0769296i | ||||
\(408\) | −0.899283 | − | 5.66346i | −0.0445211 | − | 0.280383i | ||||
\(409\) | −25.5396 | + | 10.5789i | −1.26285 | + | 0.523091i | −0.910784 | − | 0.412883i | \(-0.864522\pi\) |
−0.352069 | + | 0.935974i | \(0.614522\pi\) | |||||||
\(410\) | −0.546708 | + | 26.0471i | −0.0270000 | + | 1.28637i | ||||
\(411\) | 0.396450 | + | 16.4600i | 0.0195554 | + | 0.811914i | ||||
\(412\) | 11.1219 | + | 12.0970i | 0.547936 | + | 0.595977i | ||||
\(413\) | −29.6720 | + | 19.8262i | −1.46006 | + | 0.975583i | ||||
\(414\) | −19.8408 | − | 28.0148i | −0.975122 | − | 1.37685i | ||||
\(415\) | −16.7051 | −0.820019 | ||||||||
\(416\) | −1.94078 | − | 2.39769i | −0.0951544 | − | 0.117557i | ||||
\(417\) | 3.38886 | − | 19.4770i | 0.165953 | − | 0.953791i | ||||
\(418\) | 28.2145 | + | 19.7211i | 1.38002 | + | 0.964590i | ||||
\(419\) | 10.6745 | + | 15.9755i | 0.521484 | + | 0.780455i | 0.994952 | − | 0.100356i | \(-0.0319981\pi\) |
−0.473468 | + | 0.880811i | \(0.656998\pi\) | |||||||
\(420\) | −4.48299 | + | 20.6039i | −0.218747 | + | 1.00537i | ||||
\(421\) | 4.39818 | + | 22.1111i | 0.214354 | + | 1.07763i | 0.926700 | + | 0.375802i | \(0.122633\pi\) |
−0.712346 | + | 0.701829i | \(0.752367\pi\) | |||||||
\(422\) | 0.426727 | − | 20.3308i | 0.0207727 | − | 0.989687i | ||||
\(423\) | 31.6645 | − | 1.52620i | 1.53958 | − | 0.0742066i | ||||
\(424\) | −0.433257 | + | 6.87255i | −0.0210408 | + | 0.333761i | ||||
\(425\) | 0.719798 | − | 1.73775i | 0.0349153 | − | 0.0842931i | ||||
\(426\) | −28.0777 | − | 18.6355i | −1.36037 | − | 0.902893i | ||||
\(427\) | −0.340026 | + | 0.508885i | −0.0164550 | + | 0.0246267i | ||||
\(428\) | 6.00893 | + | 1.45980i | 0.290453 | + | 0.0705622i | ||||
\(429\) | −3.26199 | − | 1.26002i | −0.157490 | − | 0.0608344i | ||||
\(430\) | −3.08518 | + | 13.9712i | −0.148780 | + | 0.673753i | ||||
\(431\) | 10.8612 | + | 10.8612i | 0.523167 | + | 0.523167i | 0.918527 | − | 0.395359i | \(-0.129380\pi\) |
−0.395359 | + | 0.918527i | \(0.629380\pi\) | |||||||
\(432\) | 19.2942 | − | 7.72869i | 0.928294 | − | 0.371847i | ||||
\(433\) | 6.03352 | − | 6.03352i | 0.289952 | − | 0.289952i | −0.547109 | − | 0.837061i | \(-0.684272\pi\) |
0.837061 | + | 0.547109i | \(0.184272\pi\) | |||||||
\(434\) | 7.02694 | + | 11.0099i | 0.337304 | + | 0.528492i | ||||
\(435\) | −0.580796 | + | 1.50358i | −0.0278470 | + | 0.0720913i | ||||
\(436\) | −0.897150 | − | 5.76517i | −0.0429657 | − | 0.276102i | ||||
\(437\) | 44.2317 | + | 29.5547i | 2.11589 | + | 1.41379i | ||||
\(438\) | −4.53884 | − | 22.4549i | −0.216874 | − | 1.07294i | ||||
\(439\) | 12.3126 | + | 5.10006i | 0.587650 | + | 0.243412i | 0.656639 | − | 0.754205i | \(-0.271977\pi\) |
−0.0689894 | + | 0.997617i | \(0.521977\pi\) | |||||||
\(440\) | −2.56543 | − | 19.1182i | −0.122302 | − | 0.911425i | ||||
\(441\) | 0.566108 | + | 11.7452i | 0.0269575 | + | 0.559294i | ||||
\(442\) | −0.624766 | − | 0.651554i | −0.0297171 | − | 0.0309913i | ||||
\(443\) | −39.4508 | + | 7.84725i | −1.87436 | + | 0.372834i | −0.994705 | − | 0.102774i | \(-0.967228\pi\) |
−0.879658 | + | 0.475607i | \(0.842228\pi\) | |||||||
\(444\) | 2.16426 | − | 3.11685i | 0.102711 | − | 0.147919i | ||||
\(445\) | 16.7053 | − | 11.1622i | 0.791909 | − | 0.529137i | ||||
\(446\) | −4.19506 | − | 23.6764i | −0.198642 | − | 1.12111i | ||||
\(447\) | −14.7924 | − | 2.57378i | −0.699657 | − | 0.121736i | ||||
\(448\) | 3.31993 | − | 26.2266i | 0.156852 | − | 1.23909i | ||||
\(449\) | − | 6.27965i | − | 0.296355i | −0.988961 | − | 0.148178i | \(-0.952659\pi\) | ||
0.988961 | − | 0.148178i | \(-0.0473407\pi\) | |||||||
\(450\) | 6.72015 | + | 1.14785i | 0.316791 | + | 0.0541099i | ||||
\(451\) | −20.5712 | − | 30.7869i | −0.968659 | − | 1.44970i | ||||
\(452\) | 15.2565 | + | 7.08342i | 0.717608 | + | 0.333176i | ||||
\(453\) | −7.24433 | + | 0.174484i | −0.340368 | + | 0.00819798i | ||||
\(454\) | 17.0852 | − | 16.3827i | 0.801847 | − | 0.768879i | ||||
\(455\) | 1.27023 | + | 3.06662i | 0.0595495 | + | 0.143765i | ||||
\(456\) | −23.6426 | + | 21.8723i | −1.10717 | + | 1.02426i | ||||
\(457\) | −3.03960 | + | 7.33824i | −0.142186 | + | 0.343268i | −0.978890 | − | 0.204388i | \(-0.934480\pi\) |
0.836704 | + | 0.547656i | \(0.184480\pi\) | |||||||
\(458\) | −11.6819 | + | 4.55402i | −0.545860 | + | 0.212795i | ||||
\(459\) | 5.43662 | − | 2.72711i | 0.253760 | − | 0.127291i | ||||
\(460\) | −4.58366 | − | 29.4550i | −0.213714 | − | 1.37335i | ||||
\(461\) | 4.23707 | − | 21.3012i | 0.197340 | − | 0.992096i | −0.747425 | − | 0.664347i | \(-0.768710\pi\) |
0.944765 | − | 0.327749i | \(-0.106290\pi\) | |||||||
\(462\) | −11.5539 | − | 27.6512i | −0.537536 | − | 1.28645i | ||||
\(463\) | 24.9132 | + | 24.9132i | 1.15781 | + | 1.15781i | 0.984945 | + | 0.172869i | \(0.0553036\pi\) |
0.172869 | + | 0.984945i | \(0.444696\pi\) | |||||||
\(464\) | 0.559036 | − | 1.94196i | 0.0259526 | − | 0.0901530i | ||||
\(465\) | −7.29289 | + | 5.13118i | −0.338199 | + | 0.237953i | ||||
\(466\) | 16.6429 | + | 3.67514i | 0.770967 | + | 0.170248i | ||||
\(467\) | 4.59236 | − | 23.0874i | 0.212509 | − | 1.06836i | −0.716299 | − | 0.697794i | \(-0.754165\pi\) |
0.928808 | − | 0.370562i | \(-0.120835\pi\) | |||||||
\(468\) | 1.80087 | − | 2.73164i | 0.0832451 | − | 0.126270i | ||||
\(469\) | −6.89497 | − | 4.60707i | −0.318380 | − | 0.212735i | ||||
\(470\) | 25.2056 | + | 11.0657i | 1.16265 | + | 0.510425i | ||||
\(471\) | −9.60718 | + | 15.1559i | −0.442675 | + | 0.698346i | ||||
\(472\) | 20.1970 | + | 22.9148i | 0.929640 | + | 1.05474i | ||||
\(473\) | −7.78177 | − | 18.7869i | −0.357806 | − | 0.863821i | ||||
\(474\) | −33.9939 | − | 6.65250i | −1.56139 | − | 0.305560i | ||||
\(475\) | −10.3615 | + | 2.06103i | −0.475418 | + | 0.0945666i | ||||
\(476\) | 0.324602 | − | 7.72919i | 0.0148781 | − | 0.354267i | ||||
\(477\) | −7.08666 | + | 1.76815i | −0.324476 | + | 0.0809579i | ||||
\(478\) | −14.6351 | + | 20.9380i | −0.669392 | + | 0.957683i | ||||
\(479\) | − | 16.8605i | − | 0.770374i | −0.922838 | − | 0.385187i | \(-0.874137\pi\) | ||
0.922838 | − | 0.385187i | \(-0.125863\pi\) | |||||||
\(480\) | 17.9893 | + | 1.45760i | 0.821094 | + | 0.0665302i | ||||
\(481\) | − | 0.597330i | − | 0.0272359i | ||||||
\(482\) | 1.83627 | + | 1.28350i | 0.0836397 | + | 0.0584617i | ||||
\(483\) | −18.7478 | − | 42.3473i | −0.853055 | − | 1.92687i | ||||
\(484\) | 3.66493 | + | 3.98626i | 0.166588 | + | 0.181194i | ||||
\(485\) | −27.3506 | + | 5.44037i | −1.24193 | + | 0.247034i | ||||
\(486\) | 14.0066 | + | 17.0239i | 0.635354 | + | 0.772221i | ||||
\(487\) | −5.51670 | − | 13.3185i | −0.249986 | − | 0.603519i | 0.748216 | − | 0.663455i | \(-0.230910\pi\) |
−0.998202 | + | 0.0599357i | \(0.980910\pi\) | |||||||
\(488\) | 0.470411 | + | 0.230526i | 0.0212945 | + | 0.0104354i | ||||
\(489\) | −1.05990 | − | 0.671860i | −0.0479302 | − | 0.0303826i | ||||
\(490\) | −4.10457 | + | 9.34939i | −0.185425 | + | 0.422362i | ||||
\(491\) | −8.17112 | − | 5.45977i | −0.368758 | − | 0.246396i | 0.357360 | − | 0.933967i | \(-0.383677\pi\) |
−0.726117 | + | 0.687571i | \(0.758677\pi\) | |||||||
\(492\) | 32.2392 | − | 12.6831i | 1.45346 | − | 0.571796i | ||||
\(493\) | 0.115368 | − | 0.579996i | 0.00519593 | − | 0.0261217i | ||||
\(494\) | −1.09326 | + | 4.95085i | −0.0491882 | + | 0.222749i | ||||
\(495\) | 18.5034 | − | 8.73052i | 0.831667 | − | 0.392408i | ||||
\(496\) | 8.54014 | − | 7.21451i | 0.383464 | − | 0.323941i | ||||
\(497\) | −32.1465 | − | 32.1465i | −1.44197 | − | 1.44197i | ||||
\(498\) | 8.56437 | + | 20.4966i | 0.383779 | + | 0.918473i | ||||
\(499\) | 3.78425 | − | 19.0247i | 0.169407 | − | 0.851664i | −0.798816 | − | 0.601575i | \(-0.794540\pi\) |
0.968223 | − | 0.250089i | \(-0.0804599\pi\) | |||||||
\(500\) | 19.6530 | + | 14.3600i | 0.878908 | + | 0.642200i | ||||
\(501\) | 4.27252 | + | 4.07155i | 0.190882 | + | 0.181903i | ||||
\(502\) | 2.59459 | + | 6.65560i | 0.115802 | + | 0.297054i | ||||
\(503\) | 4.59413 | − | 11.0912i | 0.204842 | − | 0.494532i | −0.787755 | − | 0.615989i | \(-0.788757\pi\) |
0.992597 | + | 0.121457i | \(0.0387566\pi\) | |||||||
\(504\) | 27.5786 | − | 5.06273i | 1.22845 | − | 0.225512i | ||||
\(505\) | 3.02210 | + | 7.29599i | 0.134482 | + | 0.324667i | ||||
\(506\) | 29.3222 | + | 30.5795i | 1.30353 | + | 1.35943i | ||||
\(507\) | 0.529769 | + | 21.9952i | 0.0235278 | + | 0.976843i | ||||
\(508\) | −15.1730 | − | 41.4730i | −0.673193 | − | 1.84007i | ||||
\(509\) | −13.6072 | − | 20.3646i | −0.603129 | − | 0.902647i | 0.396754 | − | 0.917925i | \(-0.370137\pi\) |
−0.999883 | + | 0.0152784i | \(0.995137\pi\) | |||||||
\(510\) | 5.28148 | − | 0.0163453i | 0.233868 | − | 0.000723783i | ||||
\(511\) | − | 30.9054i | − | 1.36717i | ||||||
\(512\) | −22.6268 | + | 0.169126i | −0.999972 | + | 0.00747439i | ||||
\(513\) | −29.7005 | − | 16.8796i | −1.31131 | − | 0.745254i | ||||
\(514\) | 29.7112 | − | 5.26433i | 1.31050 | − | 0.232200i | ||||
\(515\) | −12.5842 | + | 8.40847i | −0.554524 | + | 0.370521i | ||||
\(516\) | 18.7240 | − | 3.37738i | 0.824277 | − | 0.148681i | ||||
\(517\) | −38.3715 | + | 7.63256i | −1.68758 | + | 0.335680i | ||||
\(518\) | 3.69489 | − | 3.54297i | 0.162344 | − | 0.155669i | ||||
\(519\) | −0.0311953 | − | 0.139220i | −0.00136932 | − | 0.00611108i | ||||
\(520\) | 2.45691 | − | 1.42667i | 0.107743 | − | 0.0625637i | ||||
\(521\) | 9.74629 | + | 4.03705i | 0.426993 | + | 0.176866i | 0.585822 | − | 0.810440i | \(-0.300772\pi\) |
−0.158829 | + | 0.987306i | \(0.550772\pi\) | |||||||
\(522\) | 2.14261 | − | 0.0582415i | 0.0937796 | − | 0.00254916i | ||||
\(523\) | 8.73360 | + | 5.83560i | 0.381894 | + | 0.255173i | 0.731669 | − | 0.681661i | \(-0.238742\pi\) |
−0.349775 | + | 0.936834i | \(0.613742\pi\) | |||||||
\(524\) | −16.4671 | + | 22.5367i | −0.719367 | + | 0.984518i | ||||
\(525\) | 8.57931 | + | 3.31397i | 0.374432 | + | 0.144633i | ||||
\(526\) | −3.55503 | + | 2.26896i | −0.155007 | + | 0.0989312i | ||||
\(527\) | 2.31331 | − | 2.31331i | 0.100769 | − | 0.100769i | ||||
\(528\) | −22.1422 | + | 12.9493i | −0.963615 | + | 0.563544i | ||||
\(529\) | 30.0319 | + | 30.0319i | 1.30574 | + | 1.30574i | ||||
\(530\) | −6.19312 | − | 1.36759i | −0.269012 | − | 0.0594041i | ||||
\(531\) | −16.6816 | + | 27.7733i | −0.723920 | + | 1.20526i | ||||
\(532\) | −37.1089 | + | 22.6026i | −1.60887 | + | 0.979948i | ||||
\(533\) | 3.02986 | − | 4.53450i | 0.131238 | − | 0.196411i | ||||
\(534\) | −22.2601 | − | 14.7743i | −0.963289 | − | 0.639346i | ||||
\(535\) | −2.17950 | + | 5.26178i | −0.0942281 | + | 0.227487i | ||||
\(536\) | −3.12343 | + | 6.37368i | −0.134912 | + | 0.275301i | ||||
\(537\) | 5.89228 | + | 26.2964i | 0.254271 | + | 1.13477i | ||||
\(538\) | −20.7393 | − | 0.435302i | −0.894136 | − | 0.0187672i | ||||
\(539\) | −2.83111 | − | 14.2330i | −0.121945 | − | 0.613057i | ||||
\(540\) | 4.30116 | + | 18.6536i | 0.185092 | + | 0.802721i | ||||
\(541\) | 22.1758 | + | 33.1885i | 0.953413 | + | 1.42688i | 0.903722 | + | 0.428119i | \(0.140824\pi\) |
0.0496911 | + | 0.998765i | \(0.484176\pi\) | |||||||
\(542\) | −17.1268 | + | 24.5029i | −0.735658 | + | 1.05249i | ||||
\(543\) | −27.9465 | − | 4.86251i | −1.19930 | − | 0.208670i | ||||
\(544\) | −6.59388 | + | 0.604490i | −0.282710 | + | 0.0259173i | ||||
\(545\) | 5.37374 | 0.230186 | ||||||||
\(546\) | 3.11141 | − | 3.13073i | 0.133156 | − | 0.133983i | ||||
\(547\) | −0.839814 | + | 0.561146i | −0.0359079 | + | 0.0239929i | −0.573395 | − | 0.819279i | \(-0.694374\pi\) |
0.537487 | + | 0.843272i | \(0.319374\pi\) | |||||||
\(548\) | 18.9952 | + | 0.797739i | 0.811434 | + | 0.0340777i | ||||
\(549\) | −0.0820375 | + | 0.549547i | −0.00350128 | + | 0.0234541i | ||||
\(550\) | −8.41174 | − | 0.176556i | −0.358678 | − | 0.00752836i | ||||
\(551\) | −3.06863 | + | 1.27107i | −0.130728 | + | 0.0541493i | ||||
\(552\) | −33.7904 | + | 20.7250i | −1.43821 | + | 0.882116i | ||||
\(553\) | −43.1723 | − | 17.8825i | −1.83587 | − | 0.760443i | ||||
\(554\) | 0.560221 | − | 1.27607i | 0.0238015 | − | 0.0542152i | ||||
\(555\) | 2.53004 | + | 2.41103i | 0.107394 | + | 0.102342i | ||||
\(556\) | −22.1827 | − | 5.38904i | −0.940757 | − | 0.228546i | ||||
\(557\) | 31.2872 | + | 6.22341i | 1.32568 | + | 0.263694i | 0.806634 | − | 0.591052i | \(-0.201287\pi\) |
0.519047 | + | 0.854746i | \(0.326287\pi\) | |||||||
\(558\) | 10.0347 | + | 6.31747i | 0.424804 | + | 0.267440i | ||||
\(559\) | 2.11781 | − | 2.11781i | 0.0895738 | − | 0.0895738i | ||||
\(560\) | 23.3977 | + | 6.73557i | 0.988735 | + | 0.284630i | ||||
\(561\) | −6.13899 | + | 4.31932i | −0.259189 | + | 0.182362i | ||||
\(562\) | 16.6742 | − | 10.6421i | 0.703361 | − | 0.448912i | ||||
\(563\) | −0.331921 | − | 0.0660232i | −0.0139888 | − | 0.00278255i | 0.188091 | − | 0.982152i | \(-0.439770\pi\) |
−0.202080 | + | 0.979369i | \(0.564770\pi\) | |||||||
\(564\) | 0.654885 | − | 36.5996i | 0.0275756 | − | 1.54112i | ||||
\(565\) | −8.60702 | + | 12.8813i | −0.362100 | + | 0.541921i | ||||
\(566\) | 1.46291 | + | 3.75263i | 0.0614905 | + | 0.157735i | ||||
\(567\) | 13.9709 | + | 26.2545i | 0.586724 | + | 1.10259i | ||||
\(568\) | −23.6115 | + | 30.9303i | −0.990715 | + | 1.29781i | ||||
\(569\) | −4.20099 | + | 1.74011i | −0.176115 | + | 0.0729491i | −0.468999 | − | 0.883199i | \(-0.655385\pi\) |
0.292884 | + | 0.956148i | \(0.405385\pi\) | |||||||
\(570\) | −16.5569 | − | 24.6139i | −0.693493 | − | 1.03096i | ||||
\(571\) | 6.40640 | + | 32.2071i | 0.268099 | + | 1.34783i | 0.846637 | + | 0.532171i | \(0.178624\pi\) |
−0.578537 | + | 0.815656i | \(0.696376\pi\) | |||||||
\(572\) | −1.70039 | + | 3.66237i | −0.0710969 | + | 0.153131i | ||||
\(573\) | −1.39397 | − | 3.14868i | −0.0582339 | − | 0.131538i | ||||
\(574\) | 46.0201 | − | 8.15399i | 1.92084 | − | 0.340341i | ||||
\(575\) | −13.0021 | −0.542226 | ||||||||
\(576\) | −7.43432 | − | 22.8195i | −0.309763 | − | 0.950814i | ||||
\(577\) | −29.0303 | −1.20855 | −0.604274 | − | 0.796777i | \(-0.706537\pi\) | ||||
−0.604274 | + | 0.796777i | \(0.706537\pi\) | |||||||
\(578\) | 21.7649 | − | 3.85639i | 0.905302 | − | 0.160405i | ||||
\(579\) | −8.41279 | − | 19.0027i | −0.349624 | − | 0.789725i | ||||
\(580\) | 1.68814 | + | 0.783780i | 0.0700961 | + | 0.0325447i | ||||
\(581\) | 5.84640 | + | 29.3918i | 0.242550 | + | 1.21938i | ||||
\(582\) | 20.6973 | + | 30.7691i | 0.857930 | + | 1.27542i | ||||
\(583\) | 8.32777 | − | 3.44947i | 0.344901 | − | 0.142863i | ||||
\(584\) | −26.2181 | + | 3.51815i | −1.08491 | + | 0.145582i | ||||
\(585\) | 2.23093 | + | 2.02576i | 0.0922378 | + | 0.0837550i | ||||
\(586\) | 14.9295 | + | 38.2971i | 0.616733 | + | 1.58204i | ||||
\(587\) | 6.76560 | − | 10.1254i | 0.279246 | − | 0.417922i | −0.665161 | − | 0.746700i | \(-0.731637\pi\) |
0.944407 | + | 0.328779i | \(0.106637\pi\) | |||||||
\(588\) | 13.5757 | + | 0.242913i | 0.559854 | + | 0.0100176i | ||||
\(589\) | −18.0219 | − | 3.58478i | −0.742580 | − | 0.147708i | ||||
\(590\) | −23.7143 | + | 15.1354i | −0.976301 | + | 0.623113i | ||||
\(591\) | −3.63937 | + | 2.56062i | −0.149704 | + | 0.105330i | ||||
\(592\) | −3.42623 | − | 2.73118i | −0.140817 | − | 0.112251i | ||||
\(593\) | 13.3642 | − | 13.3642i | 0.548802 | − | 0.548802i | −0.377292 | − | 0.926094i | \(-0.623145\pi\) |
0.926094 | + | 0.377292i | \(0.123145\pi\) | |||||||
\(594\) | −20.1984 | − | 18.2271i | −0.828751 | − | 0.747868i | ||||
\(595\) | 6.98810 | + | 1.39002i | 0.286484 | + | 0.0569853i | ||||
\(596\) | −4.09288 | + | 16.8474i | −0.167651 | + | 0.690096i | ||||
\(597\) | −1.40982 | − | 1.34350i | −0.0576999 | − | 0.0549858i | ||||
\(598\) | −2.50839 | + | 5.71361i | −0.102576 | + | 0.233647i | ||||
\(599\) | 6.94122 | + | 2.87515i | 0.283610 | + | 0.117475i | 0.519954 | − | 0.854194i | \(-0.325949\pi\) |
−0.236344 | + | 0.971670i | \(0.575949\pi\) | |||||||
\(600\) | 1.83471 | − | 7.65536i | 0.0749018 | − | 0.312529i | ||||
\(601\) | 32.8120 | − | 13.5912i | 1.33843 | − | 0.554395i | 0.405381 | − | 0.914148i | \(-0.367139\pi\) |
0.933048 | + | 0.359753i | \(0.117139\pi\) | |||||||
\(602\) | 25.6615 | + | 0.538615i | 1.04589 | + | 0.0219523i | ||||
\(603\) | −7.44591 | − | 1.11154i | −0.303221 | − | 0.0452654i | ||||
\(604\) | −0.351098 | + | 8.36009i | −0.0142860 | + | 0.340167i | ||||
\(605\) | −4.14679 | + | 2.77079i | −0.168591 | + | 0.112649i | ||||
\(606\) | 7.40257 | − | 7.44853i | 0.300709 | − | 0.302576i | ||||
\(607\) | 17.6571 | 0.716678 | 0.358339 | − | 0.933592i | \(-0.383343\pi\) | ||||
0.358339 | + | 0.933592i | \(0.383343\pi\) | |||||||
\(608\) | 23.3989 | + | 28.9077i | 0.948950 | + | 1.17236i | ||||
\(609\) | 2.84876 | + | 0.495664i | 0.115437 | + | 0.0200853i | ||||
\(610\) | −0.276414 | + | 0.395458i | −0.0111917 | + | 0.0160116i | ||||
\(611\) | −3.20137 | − | 4.79120i | −0.129514 | − | 0.193831i | ||||
\(612\) | −2.72777 | − | 6.47182i | −0.110264 | − | 0.261608i | ||||
\(613\) | −4.92328 | − | 24.7510i | −0.198849 | − | 0.999683i | −0.943284 | − | 0.331987i | \(-0.892281\pi\) |
0.744434 | − | 0.667696i | \(-0.232719\pi\) | |||||||
\(614\) | −20.7828 | − | 0.436214i | −0.838724 | − | 0.0176042i | ||||
\(615\) | 6.97669 | + | 31.1360i | 0.281327 | + | 1.25552i | ||||
\(616\) | −32.7398 | + | 11.2047i | −1.31913 | + | 0.451451i | ||||
\(617\) | −4.75928 | + | 11.4899i | −0.191602 | + | 0.462567i | −0.990262 | − | 0.139215i | \(-0.955542\pi\) |
0.798661 | + | 0.601782i | \(0.205542\pi\) | |||||||
\(618\) | 16.7686 | + | 11.1295i | 0.674531 | + | 0.447694i | ||||
\(619\) | −1.24045 | + | 1.85647i | −0.0498579 | + | 0.0746176i | −0.855561 | − | 0.517702i | \(-0.826788\pi\) |
0.805703 | + | 0.592319i | \(0.201788\pi\) | |||||||
\(620\) | 5.35622 | + | 8.79381i | 0.215111 | + | 0.353168i | ||||
\(621\) | −31.7982 | − | 27.5064i | −1.27602 | − | 1.10380i | ||||
\(622\) | 7.07215 | + | 1.56170i | 0.283567 | + | 0.0626183i | ||||
\(623\) | −25.4858 | − | 25.4858i | −1.02107 | − | 1.02107i | ||||
\(624\) | −3.01009 | − | 2.28312i | −0.120500 | − | 0.0913981i | ||||
\(625\) | −10.1706 | + | 10.1706i | −0.406824 | + | 0.406824i | ||||
\(626\) | −2.34360 | + | 1.49578i | −0.0936693 | + | 0.0597833i | ||||
\(627\) | 39.3280 | + | 15.1914i | 1.57061 | + | 0.606685i | ||||
\(628\) | 16.7301 | + | 12.2243i | 0.667604 | + | 0.487805i | ||||
\(629\) | −1.06611 | − | 0.712352i | −0.0425086 | − | 0.0284033i | ||||
\(630\) | 0.701725 | + | 25.8153i | 0.0279574 | + | 1.02851i | ||||
\(631\) | −3.29336 | − | 1.36415i | −0.131106 | − | 0.0543061i | 0.316166 | − | 0.948704i | \(-0.397604\pi\) |
−0.447272 | + | 0.894398i | \(0.647604\pi\) | |||||||
\(632\) | −10.2558 | + | 38.6601i | −0.407953 | + | 1.53782i | ||||
\(633\) | −5.44558 | − | 24.3029i | −0.216443 | − | 0.965953i | ||||
\(634\) | −11.7204 | + | 11.2385i | −0.465476 | + | 0.446338i | ||||
\(635\) | 39.8920 | − | 7.93501i | 1.58306 | − | 0.314891i | ||||
\(636\) | 1.49711 | + | 8.29989i | 0.0593643 | + | 0.329112i | ||||
\(637\) | 1.77718 | − | 1.18747i | 0.0704143 | − | 0.0470493i | ||||
\(638\) | −2.60465 | + | 0.461501i | −0.103119 | + | 0.0182710i | ||||
\(639\) | −38.8475 | − | 13.9404i | −1.53678 | − | 0.551474i | ||||
\(640\) | 3.05050 | − | 20.6158i | 0.120581 | − | 0.814912i | ||||
\(641\) | − | 5.80247i | − | 0.229184i | −0.993413 | − | 0.114592i | \(-0.963444\pi\) | ||
0.993413 | − | 0.114592i | \(-0.0365560\pi\) | |||||||
\(642\) | 7.57343 | − | 0.0234385i | 0.298899 | − | 0.000925045i | ||||
\(643\) | 20.9923 | + | 31.4171i | 0.827854 | + | 1.23897i | 0.968525 | + | 0.248915i | \(0.0800738\pi\) |
−0.140672 | + | 0.990056i | \(0.544926\pi\) | |||||||
\(644\) | −50.2207 | + | 18.3733i | −1.97897 | + | 0.724011i | ||||
\(645\) | 0.421940 | + | 17.5184i | 0.0166139 | + | 0.689784i | ||||
\(646\) | 7.53245 | + | 7.85543i | 0.296360 | + | 0.309068i | ||||
\(647\) | 6.78354 | + | 16.3769i | 0.266688 | + | 0.643843i | 0.999323 | − | 0.0367789i | \(-0.0117097\pi\) |
−0.732635 | + | 0.680622i | \(0.761710\pi\) | |||||||
\(648\) | 20.6822 | − | 14.8407i | 0.812473 | − | 0.582998i | ||||
\(649\) | 15.3009 | − | 36.9395i | 0.600611 | − | 1.45000i | ||||
\(650\) | −0.450095 | − | 1.15458i | −0.0176542 | − | 0.0452863i | ||||
\(651\) | 11.5804 | + | 11.0357i | 0.453873 | + | 0.432524i | ||||
\(652\) | −0.854887 | + | 1.16999i | −0.0334799 | + | 0.0458203i | ||||
\(653\) | 1.38945 | − | 6.98522i | 0.0543733 | − | 0.273353i | −0.944029 | − | 0.329863i | \(-0.892997\pi\) |
0.998402 | + | 0.0565103i | \(0.0179974\pi\) | |||||||
\(654\) | −2.75501 | − | 6.59340i | −0.107730 | − | 0.257823i | ||||
\(655\) | −18.1778 | − | 18.1778i | −0.710264 | − | 0.710264i | ||||
\(656\) | −12.1560 | − | 38.1121i | −0.474614 | − | 1.48803i | ||||
\(657\) | −11.9727 | − | 25.3749i | −0.467101 | − | 0.989971i | ||||
\(658\) | 10.6483 | − | 48.2209i | 0.415114 | − | 1.87985i | ||||
\(659\) | 4.43616 | − | 22.3021i | 0.172808 | − | 0.868765i | −0.792943 | − | 0.609296i | \(-0.791452\pi\) |
0.965751 | − | 0.259469i | \(-0.0835477\pi\) | |||||||
\(660\) | −8.64889 | − | 21.9847i | −0.336658 | − | 0.855754i | ||||
\(661\) | −19.0702 | − | 12.7423i | −0.741745 | − | 0.495618i | 0.126369 | − | 0.991983i | \(-0.459668\pi\) |
−0.868114 | + | 0.496365i | \(0.834668\pi\) | |||||||
\(662\) | −19.2199 | + | 43.7792i | −0.747003 | + | 1.70153i | ||||
\(663\) | −0.933770 | − | 0.591909i | −0.0362646 | − | 0.0229878i | ||||
\(664\) | 24.2685 | − | 8.30554i | 0.941802 | − | 0.322318i | ||||
\(665\) | −15.3145 | − | 36.9725i | −0.593871 | − | 1.43373i | ||||
\(666\) | 1.66115 | − | 4.34036i | 0.0643683 | − | 0.168186i | ||||
\(667\) | −4.00929 | + | 0.797498i | −0.155240 | + | 0.0308792i | ||||
\(668\) | 5.01680 | − | 4.61240i | 0.194106 | − | 0.178459i | ||||
\(669\) | −11.9216 | − | 26.9283i | −0.460915 | − | 1.04111i | ||||
\(670\) | −5.35812 | − | 3.74517i | −0.207002 | − | 0.144689i | ||||
\(671\) | − | 0.685723i | − | 0.0264720i | ||||||
\(672\) | −3.73125 | − | 32.1615i | −0.143936 | − | 1.24066i | ||||
\(673\) | 23.4212i | 0.902821i | 0.892316 | + | 0.451410i | \(0.149079\pi\) | ||||
−0.892316 | + | 0.451410i | \(0.850921\pi\) | |||||||
\(674\) | −2.95880 | + | 4.23309i | −0.113969 | + | 0.163052i | ||||
\(675\) | 8.32789 | − | 0.602680i | 0.320541 | − | 0.0231971i | ||||
\(676\) | 25.3829 | + | 1.06600i | 0.976266 | + | 0.0410001i | ||||
\(677\) | 8.49094 | − | 1.68895i | 0.326333 | − | 0.0649117i | −0.0292050 | − | 0.999573i | \(-0.509298\pi\) |
0.355538 | + | 0.934662i | \(0.384298\pi\) | |||||||
\(678\) | 20.2176 | + | 3.95653i | 0.776452 | + | 0.151949i | ||||
\(679\) | 19.1442 | + | 46.2182i | 0.734687 | + | 1.77369i | ||||
\(680\) | 0.383701 | − | 6.08647i | 0.0147143 | − | 0.233406i | ||||
\(681\) | 15.5211 | − | 24.4855i | 0.594772 | − | 0.938286i | ||||
\(682\) | −13.3995 | − | 5.88262i | −0.513092 | − | 0.225257i | ||||
\(683\) | 1.10592 | + | 0.738953i | 0.0423169 | + | 0.0282753i | 0.576549 | − | 0.817063i | \(-0.304399\pi\) |
−0.534232 | + | 0.845338i | \(0.679399\pi\) | |||||||
\(684\) | −21.7121 | + | 32.9339i | −0.830182 | + | 1.25926i | ||||
\(685\) | −3.41610 | + | 17.1739i | −0.130522 | + | 0.656181i | ||||
\(686\) | −14.0568 | − | 3.10407i | −0.536691 | − | 0.118514i | ||||
\(687\) | −12.5590 | + | 8.83635i | −0.479156 | + | 0.337128i | ||||
\(688\) | −2.46428 | − | 21.8308i | −0.0939500 | − | 0.832293i | ||||
\(689\) | 0.938774 | + | 0.938774i | 0.0357644 | + | 0.0357644i | ||||
\(690\) | −14.0757 | − | 33.6866i | −0.535854 | − | 1.28243i | ||||
\(691\) | 5.02517 | − | 25.2633i | 0.191167 | − | 0.961059i | −0.759420 | − | 0.650600i | \(-0.774517\pi\) |
0.950587 | − | 0.310459i | \(-0.100483\pi\) | |||||||
\(692\) | −0.162785 | + | 0.0253318i | −0.00618814 | + | 0.000962971i | ||||
\(693\) | −21.8368 | − | 29.5005i | −0.829510 | − | 1.12063i | ||||
\(694\) | 40.3092 | − | 15.7139i | 1.53012 | − | 0.596493i | ||||
\(695\) | 8.04591 | − | 19.4245i | 0.305199 | − | 0.736815i | ||||
\(696\) | 0.0961969 | − | 2.47312i | 0.00364633 | − | 0.0937433i | ||||
\(697\) | −4.47986 | − | 10.8153i | −0.169687 | − | 0.409660i | ||||
\(698\) | 11.6013 | − | 11.1243i | 0.439116 | − | 0.421061i | ||||
\(699\) | 20.8683 | − | 0.502626i | 0.789312 | − | 0.0190111i | ||||
\(700\) | 4.47218 | − | 9.63235i | 0.169032 | − | 0.364069i | ||||
\(701\) | 8.51430 | + | 12.7425i | 0.321581 | + | 0.481279i | 0.956676 | − | 0.291154i | \(-0.0940393\pi\) |
−0.635096 | + | 0.772434i | \(0.719039\pi\) | |||||||
\(702\) | 1.34179 | − | 3.77585i | 0.0506426 | − | 0.142510i | ||||
\(703\) | 7.20167i | 0.271616i | ||||||||
\(704\) | 13.2323 | + | 26.4988i | 0.498711 | + | 0.998710i | ||||
\(705\) | 33.2153 | + | 5.77924i | 1.25096 | + | 0.217659i | ||||
\(706\) | −4.62353 | − | 26.0946i | −0.174009 | − | 0.982082i | ||||
\(707\) | 11.7793 | − | 7.87069i | 0.443007 | − | 0.296008i | ||||
\(708\) | 30.7285 | + | 21.3370i | 1.15485 | + | 0.801895i | ||||
\(709\) | −15.1060 | + | 3.00477i | −0.567317 | + | 0.112846i | −0.470411 | − | 0.882447i | \(-0.655894\pi\) |
−0.0969055 | + | 0.995294i | \(0.530894\pi\) | |||||||
\(710\) | −24.8048 | − | 25.8684i | −0.930906 | − | 0.970822i | ||||
\(711\) | −42.3744 | + | 2.04241i | −1.58916 | + | 0.0765964i | ||||
\(712\) | −18.7193 | + | 24.5217i | −0.701534 | + | 0.918989i | ||||
\(713\) | −20.8933 | − | 8.65430i | −0.782461 | − | 0.324106i | ||||
\(714\) | −1.87716 | − | 9.28682i | −0.0702509 | − | 0.347550i | ||||
\(715\) | −3.09219 | − | 2.06613i | −0.115641 | − | 0.0772690i | ||||
\(716\) | 30.7474 | − | 4.78477i | 1.14908 | − | 0.178815i | ||||
\(717\) | −11.2736 | + | 29.1854i | −0.421019 | + | 1.08995i | ||||
\(718\) | −14.8874 | − | 23.3258i | −0.555594 | − | 0.870512i | ||||
\(719\) | −10.7173 | + | 10.7173i | −0.399686 | + | 0.399686i | −0.878122 | − | 0.478436i | \(-0.841204\pi\) |
0.478436 | + | 0.878122i | \(0.341204\pi\) | |||||||
\(720\) | 21.8201 | − | 3.53401i | 0.813188 | − | 0.131705i | ||||
\(721\) | 19.1985 | + | 19.1985i | 0.714990 | + | 0.714990i | ||||
\(722\) | 7.38692 | − | 33.4517i | 0.274913 | − | 1.24494i | ||||
\(723\) | 2.55956 | + | 0.988693i | 0.0951911 | + | 0.0367699i | ||||
\(724\) | −7.73248 | + | 31.8289i | −0.287375 | + | 1.18291i | ||||
\(725\) | 0.451018 | − | 0.674997i | 0.0167504 | − | 0.0250687i | ||||
\(726\) | 5.52565 | + | 3.66744i | 0.205076 | + | 0.136111i | ||||
\(727\) | −1.37029 | + | 3.30817i | −0.0508212 | + | 0.122693i | −0.947251 | − | 0.320492i | \(-0.896152\pi\) |
0.896430 | + | 0.443185i | \(0.146152\pi\) | |||||||
\(728\) | −3.37003 | − | 3.82353i | −0.124902 | − | 0.141709i | ||||
\(729\) | 21.6419 | + | 16.1440i | 0.801550 | + | 0.597927i | ||||
\(730\) | 0.511263 | − | 24.3584i | 0.0189227 | − | 0.901545i | ||||
\(731\) | −1.25424 | − | 6.30547i | −0.0463896 | − | 0.233216i | ||||
\(732\) | 0.626926 | + | 0.136407i | 0.0231719 | + | 0.00504173i | ||||
\(733\) | −4.88457 | − | 7.31028i | −0.180416 | − | 0.270011i | 0.730228 | − | 0.683204i | \(-0.239414\pi\) |
−0.910644 | + | 0.413192i | \(0.864414\pi\) | |||||||
\(734\) | 2.72450 | + | 1.90435i | 0.100563 | + | 0.0702908i | ||||
\(735\) | −2.14367 | + | 12.3204i | −0.0790704 | + | 0.454445i | ||||
\(736\) | 21.3036 | + | 40.5123i | 0.785262 | + | 1.49330i | ||||
\(737\) | 9.29098 | 0.342237 | ||||||||
\(738\) | 34.6260 | − | 24.5230i | 1.27460 | − | 0.902704i | ||||
\(739\) | 26.6757 | − | 17.8242i | 0.981283 | − | 0.655673i | 0.0421088 | − | 0.999113i | \(-0.486592\pi\) |
0.939174 | + | 0.343441i | \(0.111592\pi\) | |||||||
\(740\) | 2.97077 | − | 2.73130i | 0.109208 | − | 0.100405i | ||||
\(741\) | 0.149519 | + | 6.20780i | 0.00549270 | + | 0.228049i | ||||
\(742\) | −0.238755 | + | 11.3751i | −0.00876498 | + | 0.417595i | ||||
\(743\) | −40.3779 | + | 16.7251i | −1.48132 | + | 0.613583i | −0.969408 | − | 0.245455i | \(-0.921063\pi\) |
−0.511912 | + | 0.859038i | \(0.671063\pi\) | |||||||
\(744\) | 8.04369 | − | 11.0803i | 0.294896 | − | 0.406225i | ||||
\(745\) | −14.7526 | − | 6.11073i | −0.540493 | − | 0.223880i | ||||
\(746\) | −8.39916 | − | 3.68739i | −0.307515 | − | 0.135005i | ||||
\(747\) | 16.1866 | + | 21.8673i | 0.592236 | + | 0.800084i | ||||
\(748\) | 4.50875 | + | 7.40244i | 0.164856 | + | 0.270660i | ||||
\(749\) | 10.0207 | + | 1.99323i | 0.366147 | + | 0.0728312i | ||||
\(750\) | 27.5766 | + | 11.3228i | 1.00696 | + | 0.413449i | ||||
\(751\) | 25.3960 | − | 25.3960i | 0.926712 | − | 0.926712i | −0.0707803 | − | 0.997492i | \(-0.522549\pi\) |
0.997492 | + | 0.0707803i | \(0.0225489\pi\) | |||||||
\(752\) | −42.1195 | − | 3.54403i | −1.53594 | − | 0.129238i | ||||
\(753\) | 5.03438 | + | 7.15531i | 0.183463 | + | 0.260754i | ||||
\(754\) | −0.209607 | − | 0.328415i | −0.00763345 | − | 0.0119602i | ||||
\(755\) | −7.55851 | − | 1.50348i | −0.275082 | − | 0.0547173i | ||||
\(756\) | 31.3148 | − | 14.0960i | 1.13891 | − | 0.512668i | ||||
\(757\) | 3.36700 | − | 5.03906i | 0.122376 | − | 0.183148i | −0.765224 | − | 0.643764i | \(-0.777372\pi\) |
0.887599 | + | 0.460617i | \(0.152372\pi\) | |||||||
\(758\) | 2.67063 | − | 1.04110i | 0.0970015 | − | 0.0378146i | ||||
\(759\) | 43.8248 | + | 27.7802i | 1.59074 | + | 1.00836i | ||||
\(760\) | −29.6216 | + | 17.2006i | −1.07449 | + | 0.623931i | ||||
\(761\) | −2.07072 | + | 0.857719i | −0.0750635 | + | 0.0310923i | −0.419899 | − | 0.907571i | \(-0.637935\pi\) |
0.344836 | + | 0.938663i | \(0.387935\pi\) | |||||||
\(762\) | −30.1879 | − | 44.8780i | −1.09359 | − | 1.62576i | ||||
\(763\) | −1.88069 | − | 9.45486i | −0.0680855 | − | 0.342289i | ||||
\(764\) | −3.73410 | + | 1.36613i | −0.135095 | + | 0.0494248i | ||||
\(765\) | 6.27609 | − | 1.56591i | 0.226913 | − | 0.0566155i | ||||
\(766\) | −5.94797 | − | 33.5696i | −0.214909 | − | 1.21292i | ||||
\(767\) | 5.88896 | 0.212638 | ||||||||
\(768\) | −26.8589 | + | 6.82648i | −0.969186 | + | 0.246329i | ||||
\(769\) | 7.95821 | 0.286981 | 0.143490 | − | 0.989652i | \(-0.454167\pi\) | ||||
0.143490 | + | 0.989652i | \(0.454167\pi\) | |||||||
\(770\) | −5.56041 | − | 31.3822i | −0.200383 | − | 1.13094i | ||||
\(771\) | 33.7919 | − | 14.9602i | 1.21699 | − | 0.538779i | ||||
\(772\) | −22.5358 | + | 8.24476i | −0.811080 | + | 0.296735i | ||||
\(773\) | 3.37161 | + | 16.9502i | 0.121268 | + | 0.609658i | 0.992846 | + | 0.119400i | \(0.0380972\pi\) |
−0.871578 | + | 0.490257i | \(0.836903\pi\) | |||||||
\(774\) | 21.2781 | − | 9.49904i | 0.764827 | − | 0.341436i | ||||
\(775\) | 4.14924 | − | 1.71867i | 0.149045 | − | 0.0617365i | ||||
\(776\) | 37.0291 | − | 21.5019i | 1.32927 | − | 0.771875i | ||||
\(777\) | 3.35664 | − | 5.29530i | 0.120419 | − | 0.189968i | ||||
\(778\) | −48.6499 | + | 18.9655i | −1.74418 | + | 0.679944i | ||||
\(779\) | −36.5293 | + | 54.6700i | −1.30880 | + | 1.95875i | ||||
\(780\) | 2.50408 | − | 2.41605i | 0.0896606 | − | 0.0865083i | ||||
\(781\) | 49.9571 | + | 9.93709i | 1.78761 | + | 0.355577i | ||||
\(782\) | 7.20621 | + | 11.2908i | 0.257694 | + | 0.403757i | ||||
\(783\) | 2.53100 | − | 0.696641i | 0.0904505 | − | 0.0248959i | ||||
\(784\) | 1.31457 | − | 15.6232i | 0.0469490 | − | 0.557972i | ||||
\(785\) | −13.4943 | + | 13.4943i | −0.481632 | + | 0.481632i | ||||
\(786\) | −12.9841 | + | 31.6229i | −0.463129 | + | 1.12795i | ||||
\(787\) | 6.03809 | + | 1.20105i | 0.215235 | + | 0.0428128i | 0.301530 | − | 0.953457i | \(-0.402503\pi\) |
−0.0862951 | + | 0.996270i | \(0.527503\pi\) | |||||||
\(788\) | 2.67292 | + | 4.38838i | 0.0952187 | + | 0.156330i | ||||
\(789\) | −3.56337 | + | 3.73925i | −0.126859 | + | 0.133121i | ||||
\(790\) | −33.7308 | − | 14.8085i | −1.20009 | − | 0.526863i | ||||
\(791\) | 25.6764 | + | 10.6355i | 0.912947 | + | 0.378155i | ||||
\(792\) | −22.5404 | + | 21.8831i | −0.800939 | + | 0.777581i | ||||
\(793\) | 0.0933098 | − | 0.0386502i | 0.00331353 | − | 0.00137251i | ||||
\(794\) | 0.912983 | − | 43.4977i | 0.0324005 | − | 1.54368i | ||||
\(795\) | −7.76547 | + | 0.187036i | −0.275413 | + | 0.00663348i | ||||
\(796\) | −1.65541 | + | 1.52197i | −0.0586744 | + | 0.0539447i | ||||
\(797\) | 7.45915 | − | 4.98405i | 0.264217 | − | 0.176544i | −0.416404 | − | 0.909179i | \(-0.636710\pi\) |
0.680621 | + | 0.732635i | \(0.261710\pi\) | |||||||
\(798\) | −37.5126 | + | 37.7455i | −1.32793 | + | 1.33618i | ||||
\(799\) | −12.3691 | −0.437588 | ||||||||
\(800\) | −8.68054 | − | 2.69738i | −0.306903 | − | 0.0953670i | ||||
\(801\) | −30.7984 | − | 11.0520i | −1.08821 | − | 0.390504i | ||||
\(802\) | 14.9893 | + | 10.4770i | 0.529289 | + | 0.369957i | ||||
\(803\) | 19.2375 | + | 28.7910i | 0.678877 | + | 1.01601i | ||||
\(804\) | −1.84820 | + | 8.49433i | −0.0651808 | + | 0.299572i | ||||
\(805\) | −9.60869 | − | 48.3061i | −0.338662 | − | 1.70257i | ||||
\(806\) | 0.0452296 | − | 2.15490i | 0.00159315 | − | 0.0759031i | ||||
\(807\) | −24.7912 | + | 5.55501i | −0.872693 | + | 0.195546i | ||||
\(808\) | −8.01787 | − | 9.09681i | −0.282068 | − | 0.320025i | ||||
\(809\) | −9.87605 | + | 23.8429i | −0.347224 | + | 0.838272i | 0.649722 | + | 0.760172i | \(0.274885\pi\) |
−0.996946 | + | 0.0781000i | \(0.975115\pi\) | |||||||
\(810\) | 10.5770 | + | 20.9239i | 0.371638 | + | 0.735191i | ||||
\(811\) | −9.69074 | + | 14.5032i | −0.340288 | + | 0.509277i | −0.961662 | − | 0.274237i | \(-0.911575\pi\) |
0.621374 | + | 0.783514i | \(0.286575\pi\) | |||||||
\(812\) | 0.788217 | − | 3.24451i | 0.0276610 | − | 0.113860i | ||||
\(813\) | −13.1930 | + | 34.1544i | −0.462697 | + | 1.19785i | ||||
\(814\) | −1.23672 | + | 5.60051i | −0.0433472 | + | 0.196298i | ||||
\(815\) | −0.943697 | − | 0.943697i | −0.0330563 | − | 0.0330563i | ||||
\(816\) | −7.66462 | + | 2.64963i | −0.268315 | + | 0.0927556i | ||||
\(817\) | −25.5333 | + | 25.5333i | −0.893295 | + | 0.893295i | ||||
\(818\) | 21.0328 | + | 32.9544i | 0.735393 | + | 1.15222i | ||||
\(819\) | 2.78347 | − | 4.63421i | 0.0972623 | − | 0.161932i | ||||
\(820\) | 36.4061 | − | 5.66535i | 1.27136 | − | 0.197843i | ||||
\(821\) | 9.95404 | + | 6.65108i | 0.347398 | + | 0.232124i | 0.717011 | − | 0.697062i | \(-0.245510\pi\) |
−0.369613 | + | 0.929186i | \(0.620510\pi\) | |||||||
\(822\) | 22.8232 | − | 4.61329i | 0.796050 | − | 0.160907i | ||||
\(823\) | −25.2779 | − | 10.4704i | −0.881131 | − | 0.364976i | −0.104195 | − | 0.994557i | \(-0.533227\pi\) |
−0.776935 | + | 0.629581i | \(0.783227\pi\) | |||||||
\(824\) | 14.1012 | − | 18.4722i | 0.491240 | − | 0.643510i | ||||
\(825\) | −10.0552 | + | 2.25308i | −0.350076 | + | 0.0784421i | ||||
\(826\) | 34.9295 | + | 36.4272i | 1.21535 | + | 1.26746i | ||||
\(827\) | 41.4125 | − | 8.23747i | 1.44006 | − | 0.286445i | 0.587560 | − | 0.809180i | \(-0.300088\pi\) |
0.852495 | + | 0.522735i | \(0.175088\pi\) | |||||||
\(828\) | −34.1160 | + | 34.5409i | −1.18561 | + | 1.20038i | ||||
\(829\) | 13.6752 | − | 9.13744i | 0.474958 | − | 0.317357i | −0.294949 | − | 0.955513i | \(-0.595303\pi\) |
0.769907 | + | 0.638156i | \(0.220303\pi\) | |||||||
\(830\) | 4.12167 | + | 23.2622i | 0.143065 | + | 0.807442i | ||||
\(831\) | 0.292584 | − | 1.68158i | 0.0101496 | − | 0.0583334i | ||||
\(832\) | −2.85999 | + | 3.29417i | −0.0991524 | + | 0.114205i | ||||
\(833\) | − | 4.58802i | − | 0.158966i | ||||||
\(834\) | −27.9583 | + | 0.0865263i | −0.968116 | + | 0.00299616i | ||||
\(835\) | 3.48711 | + | 5.21883i | 0.120676 | + | 0.180605i | ||||
\(836\) | 20.5007 | − | 44.1552i | 0.709031 | − | 1.52714i | ||||
\(837\) | 13.7834 | + | 4.57465i | 0.476424 | + | 0.158123i | ||||
\(838\) | 19.6126 | − | 18.8062i | 0.677504 | − | 0.649649i | ||||
\(839\) | −17.8164 | − | 43.0125i | −0.615090 | − | 1.48496i | −0.857343 | − | 0.514745i | \(-0.827887\pi\) |
0.242254 | − | 0.970213i | \(-0.422113\pi\) | |||||||
\(840\) | 29.7975 | + | 1.15903i | 1.02811 | + | 0.0399904i | ||||
\(841\) | −11.0001 | + | 26.5567i | −0.379315 | + | 0.915748i | ||||
\(842\) | 29.7051 | − | 11.5801i | 1.02371 | − | 0.399076i | ||||
\(843\) | 16.7133 | − | 17.5383i | 0.575638 | − | 0.604052i | ||||
\(844\) | −28.4164 | + | 4.42203i | −0.978133 | + | 0.152213i | ||||
\(845\) | −4.56487 | + | 22.9491i | −0.157036 | + | 0.789475i | ||||
\(846\) | −9.93793 | − | 43.7171i | −0.341673 | − | 1.50302i | ||||
\(847\) | 6.32638 | + | 6.32638i | 0.217377 | + | 0.217377i | ||||
\(848\) | 9.67709 | − | 1.09236i | 0.332313 | − | 0.0375117i | ||||
\(849\) | 2.83854 | + | 4.03438i | 0.0974183 | + | 0.138459i | ||||
\(850\) | −2.59745 | − | 0.573578i | −0.0890918 | − | 0.0196736i | ||||
\(851\) | −1.72916 | + | 8.69306i | −0.0592747 | + | 0.297994i | ||||
\(852\) | −19.0227 | + | 43.6969i | −0.651707 | + | 1.49703i | ||||
\(853\) | 7.94078 | + | 5.30586i | 0.271887 | + | 0.181669i | 0.684038 | − | 0.729447i | \(-0.260222\pi\) |
−0.412151 | + | 0.911116i | \(0.635222\pi\) | |||||||
\(854\) | 0.792530 | + | 0.347936i | 0.0271198 | + | 0.0119061i | ||||
\(855\) | −26.8971 | − | 24.4235i | −0.919863 | − | 0.835267i | ||||
\(856\) | 0.550212 | − | 8.72776i | 0.0188059 | − | 0.298309i | ||||
\(857\) | −18.5434 | − | 44.7677i | −0.633430 | − | 1.52923i | −0.835284 | − | 0.549819i | \(-0.814697\pi\) |
0.201854 | − | 0.979416i | \(-0.435303\pi\) | |||||||
\(858\) | −0.949773 | + | 4.85328i | −0.0324247 | + | 0.165688i | ||||
\(859\) | −18.8663 | + | 3.75274i | −0.643709 | + | 0.128042i | −0.506141 | − | 0.862451i | \(-0.668929\pi\) |
−0.137568 | + | 0.990492i | \(0.543929\pi\) | |||||||
\(860\) | 20.2165 | + | 0.849030i | 0.689377 | + | 0.0289517i | ||||
\(861\) | 52.3408 | − | 23.1721i | 1.78377 | − | 0.789703i | ||||
\(862\) | 12.4447 | − | 17.8043i | 0.423869 | − | 0.606418i | ||||
\(863\) | − | 3.38582i | − | 0.115255i | −0.998338 | − | 0.0576274i | \(-0.981646\pi\) | ||
0.998338 | − | 0.0576274i | \(-0.0183535\pi\) | |||||||
\(864\) | −15.5229 | − | 24.9608i | −0.528099 | − | 0.849183i | ||||
\(865\) | − | 0.151732i | − | 0.00515905i | ||||||
\(866\) | −9.89048 | − | 6.91316i | −0.336092 | − | 0.234919i | ||||
\(867\) | 24.7543 | − | 10.9591i | 0.840700 | − | 0.372191i | ||||
\(868\) | 13.5978 | − | 12.5017i | 0.461539 | − | 0.424335i | ||||
\(869\) | 51.3498 | − | 10.2141i | 1.74192 | − | 0.346490i | ||||
\(870\) | 2.23708 | + | 0.437789i | 0.0758440 | + | 0.0148425i | ||||
\(871\) | 0.523677 | + | 1.26427i | 0.0177441 | + | 0.0428381i | ||||
\(872\) | −7.80678 | + | 2.67176i | −0.264371 | + | 0.0904771i | ||||
\(873\) | 33.6233 | + | 30.5311i | 1.13798 | + | 1.03332i | ||||
\(874\) | 30.2422 | − | 68.8859i | 1.02296 | − | 2.33010i | ||||
\(875\) | 33.4384 | + | 22.3428i | 1.13043 | + | 0.755326i | ||||
\(876\) | −30.1491 | + | 11.8608i | −1.01864 | + | 0.400739i | ||||
\(877\) | 7.86570 | − | 39.5435i | 0.265606 | − | 1.33529i | −0.585660 | − | 0.810557i | \(-0.699165\pi\) |
0.851266 | − | 0.524734i | \(-0.175835\pi\) | |||||||
\(878\) | 4.06403 | − | 18.4040i | 0.137154 | − | 0.621104i | ||||
\(879\) | 28.9684 | + | 41.1724i | 0.977079 | + | 1.38871i | ||||
\(880\) | −25.9896 | + | 8.28951i | −0.876109 | + | 0.279439i | ||||
\(881\) | 5.13574 | + | 5.13574i | 0.173028 | + | 0.173028i | 0.788308 | − | 0.615281i | \(-0.210957\pi\) |
−0.615281 | + | 0.788308i | \(0.710957\pi\) | |||||||
\(882\) | 16.2158 | − | 3.68623i | 0.546013 | − | 0.124122i | ||||
\(883\) | −1.53900 | + | 7.73710i | −0.0517916 | + | 0.260374i | −0.998002 | − | 0.0631770i | \(-0.979877\pi\) |
0.946211 | + | 0.323551i | \(0.104877\pi\) | |||||||
\(884\) | −0.753155 | + | 1.03076i | −0.0253314 | + | 0.0346682i | ||||
\(885\) | −23.7699 | + | 24.9432i | −0.799016 | + | 0.838455i | ||||
\(886\) | 20.6613 | + | 53.0000i | 0.694128 | + | 1.78057i | ||||
\(887\) | 15.1105 | − | 36.4799i | 0.507360 | − | 1.22488i | −0.438037 | − | 0.898957i | \(-0.644326\pi\) |
0.945397 | − | 0.325920i | \(-0.105674\pi\) | |||||||
\(888\) | −4.87428 | − | 2.24476i | −0.163570 | − | 0.0753291i | ||||
\(889\) | −27.9226 | − | 67.4111i | −0.936494 | − | 2.26090i | ||||
\(890\) | −19.6653 | − | 20.5085i | −0.659183 | − | 0.687447i | ||||
\(891\) | −29.3576 | − | 15.7619i | −0.983517 | − | 0.528044i | ||||
\(892\) | −31.9349 | + | 11.6835i | −1.06926 | + | 0.391191i | ||||
\(893\) | 38.5972 | + | 57.7648i | 1.29161 | + | 1.93303i | ||||
\(894\) | 0.0657152 | + | 21.2338i | 0.00219785 | + | 0.710165i | ||||
\(895\) | 28.6597i | 0.957990i | ||||||||
\(896\) | −37.3403 | + | 1.84786i | −1.24745 | + | 0.0617326i | ||||
\(897\) | −1.31004 | + | 7.52926i | −0.0437410 | + | 0.251395i | ||||
\(898\) | −8.74457 | + | 1.54939i | −0.291810 | + | 0.0517039i | ||||
\(899\) | 1.17403 | − | 0.784463i | 0.0391561 | − | 0.0261633i | ||||
\(900\) | −0.0596764 | − | 9.64119i | −0.00198921 | − | 0.321373i | ||||
\(901\) | 2.79506 | − | 0.555973i | 0.0931170 | − | 0.0185221i | ||||
\(902\) | −37.7960 | + | 36.2420i | −1.25847 | + | 1.20673i | ||||
\(903\) | 30.6751 | − | 6.87342i | 1.02080 | − | 0.228733i | ||||
\(904\) | 6.09955 | − | 22.9928i | 0.202868 | − | 0.764730i | ||||
\(905\) | −27.8713 | − | 11.5447i | −0.926475 | − | 0.383758i | ||||
\(906\) | 2.03038 | + | 10.0449i | 0.0674549 | + | 0.333718i | ||||
\(907\) | −30.0747 | − | 20.0953i | −0.998614 | − | 0.667252i | −0.0550638 | − | 0.998483i | \(-0.517536\pi\) |
−0.943550 | + | 0.331230i | \(0.892536\pi\) | |||||||
\(908\) | −27.0288 | − | 19.7494i | −0.896982 | − | 0.655406i | ||||
\(909\) | 6.62234 | − | 11.0256i | 0.219649 | − | 0.365694i | ||||
\(910\) | 3.95693 | − | 2.52546i | 0.131171 | − | 0.0837183i | ||||
\(911\) | −30.1032 | + | 30.1032i | −0.997363 | + | 0.997363i | −0.999997 | − | 0.00263353i | \(-0.999162\pi\) |
0.00263353 | + | 0.999997i | \(0.499162\pi\) | |||||||
\(912\) | 36.2910 | + | 27.5264i | 1.20172 | + | 0.911489i | ||||
\(913\) | −23.7418 | − | 23.7418i | −0.785738 | − | 0.785738i | ||||
\(914\) | 10.9686 | + | 2.42213i | 0.362810 | + | 0.0801171i | ||||
\(915\) | −0.212924 | + | 0.551226i | −0.00703907 | + | 0.0182230i | ||||
\(916\) | 9.22389 | + | 15.1437i | 0.304766 | + | 0.500363i | ||||
\(917\) | −25.6212 | + | 38.3448i | −0.846086 | + | 1.26626i | ||||
\(918\) | −5.13895 | − | 6.89775i | −0.169611 | − | 0.227660i | ||||
\(919\) | 2.76576 | − | 6.67714i | 0.0912341 | − | 0.220259i | −0.871675 | − | 0.490084i | \(-0.836966\pi\) |
0.962909 | + | 0.269826i | \(0.0869660\pi\) | |||||||
\(920\) | −39.8859 | + | 13.6503i | −1.31500 | + | 0.450039i | ||||
\(921\) | −24.8432 | + | 5.56665i | −0.818610 | + | 0.183427i | ||||
\(922\) | −30.7079 | − | 0.644533i | −1.01131 | − | 0.0212266i | ||||
\(923\) | 1.46360 | + | 7.35801i | 0.0481750 | + | 0.242192i | ||||
\(924\) | −35.6543 | + | 22.9115i | −1.17294 | + | 0.753734i | ||||
\(925\) | −0.977910 | − | 1.46355i | −0.0321535 | − | 0.0481211i | ||||
\(926\) | 28.5453 | − | 40.8391i | 0.938057 | − | 1.34206i | ||||
\(927\) | 23.2005 | + | 8.32549i | 0.762004 | + | 0.273445i | ||||
\(928\) | −2.84215 | − | 0.299328i | −0.0932982 | − | 0.00982593i | ||||
\(929\) | 4.22030 | 0.138463 | 0.0692317 | − | 0.997601i | \(-0.477945\pi\) | ||||
0.0692317 | + | 0.997601i | \(0.477945\pi\) | |||||||
\(930\) | 8.94468 | + | 8.88949i | 0.293308 | + | 0.291498i | ||||
\(931\) | −21.4264 | + | 14.3167i | −0.702223 | + | 0.469210i | ||||
\(932\) | 1.01139 | − | 24.0824i | 0.0331291 | − | 0.788846i | ||||
\(933\) | 8.86768 | − | 0.213583i | 0.290315 | − | 0.00699240i | ||||
\(934\) | −33.2828 | − | 0.698579i | −1.08905 | − | 0.0228582i | ||||
\(935\) | −7.37524 | + | 3.05493i | −0.241196 | + | 0.0999067i | ||||
\(936\) | −4.24821 | − | 1.83377i | −0.138857 | − | 0.0599386i | ||||
\(937\) | −15.9759 | − | 6.61744i | −0.521911 | − | 0.216182i | 0.106145 | − | 0.994351i | \(-0.466149\pi\) |
−0.628056 | + | 0.778168i | \(0.716149\pi\) | |||||||
\(938\) | −4.71425 | + | 10.7381i | −0.153926 | + | 0.350612i | ||||
\(939\) | −2.34910 | + | 2.46505i | −0.0766600 | + | 0.0804439i | ||||
\(940\) | 9.19029 | − | 37.8297i | 0.299754 | − | 1.23387i | ||||
\(941\) | −15.5482 | − | 3.09272i | −0.506855 | − | 0.100820i | −0.0649626 | − | 0.997888i | \(-0.520693\pi\) |
−0.441893 | + | 0.897068i | \(0.645693\pi\) | |||||||
\(942\) | 23.4753 | + | 9.63879i | 0.764867 | + | 0.314049i | ||||
\(943\) | −57.2206 | + | 57.2206i | −1.86336 | + | 1.86336i | ||||
\(944\) | 26.9262 | − | 33.7786i | 0.876372 | − | 1.09940i | ||||
\(945\) | 8.39350 | + | 30.4948i | 0.273041 | + | 0.991998i | ||||
\(946\) | −24.2411 | + | 15.4716i | −0.788147 | + | 0.503026i | ||||
\(947\) | −18.2131 | − | 3.62281i | −0.591845 | − | 0.117725i | −0.109924 | − | 0.993940i | \(-0.535061\pi\) |
−0.481921 | + | 0.876215i | \(0.660061\pi\) | |||||||
\(948\) | −0.876385 | + | 48.9787i | −0.0284637 | + | 1.59075i | ||||
\(949\) | −2.83342 | + | 4.24052i | −0.0919768 | + | 0.137653i | ||||
\(950\) | 5.42655 | + | 13.9201i | 0.176061 | + | 0.451628i | ||||
\(951\) | −10.6475 | + | 16.7970i | −0.345267 | + | 0.544679i | ||||
\(952\) | −10.8432 | + | 1.45502i | −0.351429 | + | 0.0471576i | ||||
\(953\) | 48.0723 | − | 19.9122i | 1.55721 | − | 0.645019i | 0.572611 | − | 0.819827i | \(-0.305931\pi\) |
0.984602 | + | 0.174808i | \(0.0559306\pi\) | |||||||
\(954\) | 4.21070 | + | 9.43209i | 0.136326 | + | 0.305375i | ||||
\(955\) | −0.714442 | − | 3.59174i | −0.0231188 | − | 0.116226i | ||||
\(956\) | 32.7676 | + | 15.2136i | 1.05978 | + | 0.492043i | ||||
\(957\) | −2.96239 | + | 1.31150i | −0.0957604 | + | 0.0423947i | ||||
\(958\) | −23.4786 | + | 4.16002i | −0.758559 | + | 0.134404i | ||||
\(959\) | 31.4123 | 1.01436 | ||||||||
\(960\) | −2.40878 | − | 25.4101i | −0.0777431 | − | 0.820108i | ||||
\(961\) | −23.1886 | −0.748018 | ||||||||
\(962\) | −0.831796 | + | 0.147380i | −0.0268182 | + | 0.00475174i | ||||
\(963\) | 8.99967 | − | 2.24545i | 0.290010 | − | 0.0723586i | ||||
\(964\) | 1.33423 | − | 2.87373i | 0.0429728 | − | 0.0925565i | ||||
\(965\) | −4.31175 | − | 21.6766i | −0.138800 | − | 0.697796i | ||||
\(966\) | −54.3439 | + | 36.5552i | −1.74849 | + | 1.17614i | ||||
\(967\) | 34.7862 | − | 14.4089i | 1.11865 | − | 0.463360i | 0.254741 | − | 0.967009i | \(-0.418010\pi\) |
0.863908 | + | 0.503650i | \(0.168010\pi\) | |||||||
\(968\) | 4.64670 | − | 6.08704i | 0.149351 | − | 0.195645i | ||||
\(969\) | 11.2580 | + | 7.13632i | 0.361658 | + | 0.229252i | ||||
\(970\) | 14.3241 | + | 36.7440i | 0.459920 | + | 1.17978i | ||||
\(971\) | −19.1965 | + | 28.7296i | −0.616045 | + | 0.921976i | −0.999999 | − | 0.00137607i | \(-0.999562\pi\) |
0.383954 | + | 0.923352i | \(0.374562\pi\) | |||||||
\(972\) | 20.2503 | − | 23.7049i | 0.649530 | − | 0.760336i | ||||
\(973\) | −36.9926 | − | 7.35828i | −1.18593 | − | 0.235896i | ||||
\(974\) | −17.1852 | + | 10.9682i | −0.550649 | + | 0.351445i | ||||
\(975\) | −0.873338 | − | 1.24126i | −0.0279692 | − | 0.0397523i | ||||
\(976\) | 0.204947 | − | 0.711937i | 0.00656020 | − | 0.0227885i | ||||
\(977\) | 22.5815 | − | 22.5815i | 0.722445 | − | 0.722445i | −0.246658 | − | 0.969103i | \(-0.579332\pi\) |
0.969103 | + | 0.246658i | \(0.0793323\pi\) | |||||||
\(978\) | −0.674070 | + | 1.64170i | −0.0215544 | + | 0.0524958i | ||||
\(979\) | 39.6062 | + | 7.87816i | 1.26582 | + | 0.251787i | ||||
\(980\) | 14.0320 | + | 3.40891i | 0.448235 | + | 0.108894i | ||||
\(981\) | −5.20695 | − | 7.03436i | −0.166245 | − | 0.224590i | ||||
\(982\) | −5.58678 | + | 12.7256i | −0.178281 | + | 0.406090i | ||||
\(983\) | 12.0098 | + | 4.97461i | 0.383053 | + | 0.158666i | 0.565896 | − | 0.824476i | \(-0.308530\pi\) |
−0.182844 | + | 0.983142i | \(0.558530\pi\) | |||||||
\(984\) | −25.6159 | − | 41.7646i | −0.816606 | − | 1.33141i | ||||
\(985\) | −4.37225 | + | 1.81105i | −0.139312 | + | 0.0577048i | ||||
\(986\) | −0.836123 | − | 0.0175496i | −0.0266276 | − | 0.000558892i | ||||
\(987\) | −1.45630 | − | 60.4636i | −0.0463546 | − | 1.92458i | ||||
\(988\) | 7.16392 | + | 0.300862i | 0.227915 | + | 0.00957170i | ||||
\(989\) | −36.9515 | + | 24.6902i | −1.17499 | + | 0.785104i | ||||
\(990\) | −16.7228 | − | 23.6124i | −0.531487 | − | 0.750450i | ||||
\(991\) | −39.8014 | −1.26433 | −0.632167 | − | 0.774832i | \(-0.717834\pi\) | ||||
−0.632167 | + | 0.774832i | \(0.717834\pi\) | |||||||
\(992\) | −12.1535 | − | 10.1123i | −0.385874 | − | 0.321066i | ||||
\(993\) | −10.0379 | + | 57.6912i | −0.318542 | + | 1.83077i | ||||
\(994\) | −36.8332 | + | 52.6963i | −1.16828 | + | 1.67142i | ||||
\(995\) | −1.15065 | − | 1.72207i | −0.0364781 | − | 0.0545934i | ||||
\(996\) | 26.4289 | − | 16.9833i | 0.837430 | − | 0.538135i | ||||
\(997\) | 7.72518 | + | 38.8371i | 0.244659 | + | 1.22998i | 0.886348 | + | 0.463019i | \(0.153234\pi\) |
−0.641689 | + | 0.766965i | \(0.721766\pi\) | |||||||
\(998\) | −27.4261 | − | 0.575652i | −0.868158 | − | 0.0182219i | ||||
\(999\) | 0.704586 | − | 5.64808i | 0.0222921 | − | 0.178697i |
(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 | 192.2.s.a.179.15 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.179.16 | yes | 240 | |
4.3 | odd | 2 | 768.2.s.a.623.19 | 240 | |||
12.11 | even | 2 | 768.2.s.a.623.23 | 240 | |||
64.5 | even | 16 | 768.2.s.a.143.23 | 240 | |||
64.59 | odd | 16 | inner | 192.2.s.a.59.16 | yes | 240 | |
192.5 | odd | 16 | 768.2.s.a.143.19 | 240 | |||
192.59 | even | 16 | inner | 192.2.s.a.59.15 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.59.15 | ✓ | 240 | 192.59 | even | 16 | inner | |
192.2.s.a.59.16 | yes | 240 | 64.59 | odd | 16 | inner | |
192.2.s.a.179.15 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.179.16 | yes | 240 | 3.2 | odd | 2 | inner | |
768.2.s.a.143.19 | 240 | 192.5 | odd | 16 | |||
768.2.s.a.143.23 | 240 | 64.5 | even | 16 | |||
768.2.s.a.623.19 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.623.23 | 240 | 12.11 | even | 2 |