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 | 59.16 | ||
Character | \(\chi\) | \(=\) | 192.59 |
Dual form | 192.2.s.a.179.16 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{16}\right)\) |
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 | ||||
\(3\) | −1.19490 | + | 1.25388i | −0.689876 | + | 0.723928i | ||||
\(4\) | −1.87825 | − | 0.687161i | −0.939123 | − | 0.343580i | ||||
\(5\) | 0.359364 | − | 1.80664i | 0.160712 | − | 0.807956i | −0.813367 | − | 0.581751i | \(-0.802368\pi\) |
0.974080 | − | 0.226205i | \(-0.0726320\pi\) | |||||||
\(6\) | 1.45124 | + | 1.97330i | 0.592465 | + | 0.805596i | ||||
\(7\) | −3.05294 | − | 1.26457i | −1.15390 | − | 0.477963i | −0.278063 | − | 0.960563i | \(-0.589693\pi\) |
−0.875841 | + | 0.482600i | \(0.839693\pi\) | |||||||
\(8\) | −1.42031 | + | 2.44596i | −0.502156 | + | 0.864777i | ||||
\(9\) | −0.144430 | − | 2.99652i | −0.0481433 | − | 0.998840i | ||||
\(10\) | −2.42713 | − | 0.946180i | −0.767525 | − | 0.299208i | ||||
\(11\) | −2.05692 | − | 3.07840i | −0.620185 | − | 0.928173i | −0.999995 | − | 0.00310847i | \(-0.999011\pi\) |
0.379810 | − | 0.925065i | \(-0.375989\pi\) | |||||||
\(12\) | 3.10593 | − | 1.53401i | 0.896606 | − | 0.442830i | ||||
\(13\) | 0.534830 | − | 0.106384i | 0.148335 | − | 0.0295057i | −0.120364 | − | 0.992730i | \(-0.538406\pi\) |
0.268699 | + | 0.963224i | \(0.413406\pi\) | |||||||
\(14\) | −2.51420 | + | 3.93929i | −0.671949 | + | 1.05282i | ||||
\(15\) | 1.83591 | + | 2.60936i | 0.474030 | + | 0.673733i | ||||
\(16\) | 3.05562 | + | 2.58132i | 0.763905 | + | 0.645329i | ||||
\(17\) | −0.827691 | − | 0.827691i | −0.200745 | − | 0.200745i | 0.599574 | − | 0.800319i | \(-0.295337\pi\) |
−0.800319 | + | 0.599574i | \(0.795337\pi\) | |||||||
\(18\) | −4.20836 | − | 0.538216i | −0.991921 | − | 0.126859i | ||||
\(19\) | −6.44815 | + | 1.28262i | −1.47931 | + | 0.294253i | −0.867771 | − | 0.496964i | \(-0.834448\pi\) |
−0.611536 | + | 0.791216i | \(0.709448\pi\) | |||||||
\(20\) | −1.91643 | + | 3.14638i | −0.428527 | + | 0.703552i | ||||
\(21\) | 5.23358 | − | 2.31699i | 1.14206 | − | 0.505609i | ||||
\(22\) | −4.79426 | + | 2.10477i | −1.02214 | + | 0.448739i | ||||
\(23\) | 7.47552 | − | 3.09646i | 1.55875 | − | 0.645657i | 0.573882 | − | 0.818938i | \(-0.305437\pi\) |
0.984872 | + | 0.173281i | \(0.0554368\pi\) | |||||||
\(24\) | −1.36981 | − | 4.70358i | −0.279611 | − | 0.960113i | ||||
\(25\) | 1.48458 | + | 0.614932i | 0.296916 | + | 0.122986i | ||||
\(26\) | −0.0161829 | − | 0.771012i | −0.00317373 | − | 0.151208i | ||||
\(27\) | 3.92986 | + | 3.39944i | 0.756301 | + | 0.654223i | ||||
\(28\) | 4.86522 | + | 4.47304i | 0.919440 | + | 0.845325i | ||||
\(29\) | −0.420063 | − | 0.280677i | −0.0780037 | − | 0.0521204i | 0.515957 | − | 0.856615i | \(-0.327436\pi\) |
−0.593961 | + | 0.804494i | \(0.702436\pi\) | |||||||
\(30\) | 4.08657 | − | 1.91274i | 0.746102 | − | 0.349217i | ||||
\(31\) | 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 | ||||
\(36\) | −1.78782 | + | 5.72745i | −0.297970 | + | 0.954575i | ||||
\(37\) | −0.213702 | + | 1.07435i | −0.0351323 | + | 0.176622i | −0.994368 | − | 0.105987i | \(-0.966200\pi\) |
0.959235 | + | 0.282609i | \(0.0911999\pi\) | |||||||
\(38\) | 0.195109 | + | 9.29567i | 0.0316508 | + | 1.50796i | ||||
\(39\) | −0.505675 | + | 0.797731i | −0.0809728 | + | 0.127739i | ||||
\(40\) | 3.90857 | + | 3.44499i | 0.617999 | + | 0.544700i | ||||
\(41\) | −3.82720 | − | 9.23967i | −0.597708 | − | 1.44299i | −0.875911 | − | 0.482472i | \(-0.839739\pi\) |
0.278204 | − | 0.960522i | \(-0.410261\pi\) | |||||||
\(42\) | −1.93517 | − | 7.85956i | −0.298603 | − | 1.21276i | ||||
\(43\) | 3.05140 | + | 4.56674i | 0.465334 | + | 0.696421i | 0.987711 | − | 0.156293i | \(-0.0499546\pi\) |
−0.522377 | + | 0.852715i | \(0.674955\pi\) | |||||||
\(44\) | 1.74805 | + | 7.19543i | 0.263528 | + | 1.08475i | ||||
\(45\) | −5.46555 | − | 0.815908i | −0.814756 | − | 0.121628i | ||||
\(46\) | −2.46745 | − | 11.1738i | −0.363805 | − | 1.64749i | ||||
\(47\) | 7.47207 | − | 7.47207i | 1.08991 | − | 1.08991i | 0.0943761 | − | 0.995537i | \(-0.469914\pi\) |
0.995537 | − | 0.0943761i | \(-0.0300856\pi\) | |||||||
\(48\) | −6.88782 | + | 0.746967i | −0.994171 | + | 0.107815i | ||||
\(49\) | 2.77158 | + | 2.77158i | 0.395940 | + | 0.395940i | ||||
\(50\) | 1.22260 | − | 1.91559i | 0.172902 | − | 0.270905i | ||||
\(51\) | 2.02683 | − | 0.0488175i | 0.283813 | − | 0.00683582i | ||||
\(52\) | −1.07765 | − | 0.167698i | −0.149443 | − | 0.0232556i | ||||
\(53\) | −2.02433 | + | 1.35261i | −0.278063 | + | 0.185796i | −0.686780 | − | 0.726866i | \(-0.740976\pi\) |
0.408717 | + | 0.912661i | \(0.365976\pi\) | |||||||
\(54\) | 5.70343 | − | 4.63367i | 0.776139 | − | 0.630562i | ||||
\(55\) | −6.30076 | + | 2.60986i | −0.849594 | + | 0.351913i | ||||
\(56\) | 7.42922 | − | 5.67129i | 0.992771 | − | 0.757858i | ||||
\(57\) | 6.09665 | − | 9.61781i | 0.807520 | − | 1.27391i | ||||
\(58\) | −0.494492 | + | 0.515695i | −0.0649300 | + | 0.0677141i | ||||
\(59\) | −10.5918 | − | 2.10685i | −1.37894 | − | 0.274288i | −0.550719 | − | 0.834691i | \(-0.685646\pi\) |
−0.828220 | + | 0.560403i | \(0.810646\pi\) | |||||||
\(60\) | −1.65524 | − | 6.16258i | −0.213691 | − | 0.795586i | ||||
\(61\) | 0.153998 | + | 0.102898i | 0.0197175 | + | 0.0131748i | 0.565390 | − | 0.824824i | \(-0.308726\pi\) |
−0.545672 | + | 0.837999i | \(0.683726\pi\) | |||||||
\(62\) | 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 | ||||||
\(66\) | 3.08952 | − | 8.52642i | 0.380294 | − | 1.04953i | ||||
\(67\) | 1.39419 | − | 2.08655i | 0.170327 | − | 0.254913i | −0.736479 | − | 0.676460i | \(-0.763513\pi\) |
0.906806 | + | 0.421548i | \(0.138513\pi\) | |||||||
\(68\) | 0.985851 | + | 2.12337i | 0.119552 | + | 0.257496i | ||||
\(69\) | −5.04991 | + | 13.0734i | −0.607937 | + | 1.57385i | ||||
\(70\) | 6.21338 | + | 5.95791i | 0.742640 | + | 0.712106i | ||||
\(71\) | −5.26483 | + | 12.7104i | −0.624820 | + | 1.50845i | 0.221161 | + | 0.975237i | \(0.429015\pi\) |
−0.845981 | + | 0.533213i | \(0.820985\pi\) | |||||||
\(72\) | 7.53450 | + | 3.90273i | 0.887950 | + | 0.459941i | ||||
\(73\) | −3.57907 | − | 8.64064i | −0.418899 | − | 1.01131i | −0.982667 | − | 0.185378i | \(-0.940649\pi\) |
0.563769 | − | 0.825933i | \(-0.309351\pi\) | |||||||
\(74\) | 1.44333 | + | 0.562662i | 0.167784 | + | 0.0654081i | ||||
\(75\) | −2.54497 | + | 1.12670i | −0.293868 | + | 0.130100i | ||||
\(76\) | 12.9926 | + | 2.02185i | 1.49035 | + | 0.231922i | ||||
\(77\) | 2.38681 | + | 11.9993i | 0.272002 | + | 1.36745i | ||||
\(78\) | 0.986094 | + | 0.900991i | 0.111653 | + | 0.102017i | ||||
\(79\) | 9.99933 | − | 9.99933i | 1.12501 | − | 1.12501i | 0.134036 | − | 0.990976i | \(-0.457206\pi\) |
0.990976 | − | 0.134036i | \(-0.0427939\pi\) | |||||||
\(80\) | 5.76160 | − | 4.59279i | 0.644166 | − | 0.513489i | ||||
\(81\) | −8.95828 | + | 0.865574i | −0.995364 | + | 0.0961749i | ||||
\(82\) | −13.8108 | + | 3.04974i | −1.52514 | + | 0.336787i | ||||
\(83\) | −1.76923 | − | 8.89454i | −0.194199 | − | 0.976302i | −0.947775 | − | 0.318941i | \(-0.896673\pi\) |
0.753576 | − | 0.657361i | \(-0.228327\pi\) | |||||||
\(84\) | −11.4221 | + | 0.755565i | −1.24625 | + | 0.0824389i | ||||
\(85\) | −1.79279 | + | 1.19790i | −0.194455 | + | 0.129931i | ||||
\(86\) | 7.11217 | − | 3.12238i | 0.766925 | − | 0.336695i | ||||
\(87\) | 0.853868 | − | 0.191327i | 0.0915442 | − | 0.0205124i | ||||
\(88\) | 10.4511 | − | 0.658856i | 1.11409 | − | 0.0702343i | ||||
\(89\) | −4.17398 | + | 10.0769i | −0.442441 | + | 1.06815i | 0.532649 | + | 0.846336i | \(0.321197\pi\) |
−0.975090 | + | 0.221810i | \(0.928803\pi\) | |||||||
\(90\) | −2.48470 | + | 7.40960i | −0.261910 | + | 0.781040i | ||||
\(91\) | −1.76734 | − | 0.351545i | −0.185267 | − | 0.0368519i | ||||
\(92\) | −16.1686 | + | 0.679033i | −1.68570 | + | 0.0707941i | ||||
\(93\) | −3.33962 | + | 3.50447i | −0.346303 | + | 0.363396i | ||||
\(94\) | −8.56143 | − | 12.2486i | −0.883044 | − | 1.26335i | ||||
\(95\) | 12.1104i | 1.24250i | ||||||||
\(96\) | −0.659276 | + | 9.77575i | −0.0672871 | + | 0.997734i | ||||
\(97\) | 15.1389i | 1.53712i | 0.639777 | + | 0.768561i | \(0.279027\pi\) | ||||
−0.639777 | + | 0.768561i | \(0.720973\pi\) | |||||||
\(98\) | 4.54333 | − | 3.17565i | 0.458945 | − | 0.320789i | ||||
\(99\) | −8.92742 | + | 6.60822i | −0.897239 | + | 0.664152i | ||||
\(100\) | −2.36585 | − | 2.17514i | −0.236585 | − | 0.217514i | ||||
\(101\) | 4.20479 | + | 0.836385i | 0.418392 | + | 0.0832234i | 0.399797 | − | 0.916604i | \(-0.369081\pi\) |
0.0185952 | + | 0.999827i | \(0.494081\pi\) | |||||||
\(102\) | 0.432105 | − | 2.83446i | 0.0427848 | − | 0.280653i | ||||
\(103\) | −3.14426 | + | 7.59092i | −0.309813 | + | 0.747956i | 0.689897 | + | 0.723907i | \(0.257656\pi\) |
−0.999711 | + | 0.0240486i | \(0.992344\pi\) | |||||||
\(104\) | −0.499414 | + | 1.45927i | −0.0489716 | + | 0.143093i | ||||
\(105\) | −2.30522 | − | 10.2879i | −0.224966 | − | 1.00399i | ||||
\(106\) | 1.38408 | + | 3.15266i | 0.134434 | + | 0.306213i | ||||
\(107\) | 2.57078 | − | 1.71774i | 0.248527 | − | 0.166060i | −0.425067 | − | 0.905162i | \(-0.639750\pi\) |
0.673594 | + | 0.739101i | \(0.264750\pi\) | |||||||
\(108\) | −5.04527 | − | 9.08544i | −0.485482 | − | 0.874247i | ||||
\(109\) | −0.569133 | − | 2.86122i | −0.0545130 | − | 0.274056i | 0.943909 | − | 0.330205i | \(-0.107118\pi\) |
−0.998422 | + | 0.0561491i | \(0.982118\pi\) | |||||||
\(110\) | 2.07969 | + | 9.41790i | 0.198291 | + | 0.897961i | ||||
\(111\) | −1.09175 | − | 1.55170i | −0.103625 | − | 0.147281i | ||||
\(112\) | −6.06438 | − | 11.7447i | −0.573030 | − | 1.10977i | ||||
\(113\) | 5.94703 | − | 5.94703i | 0.559449 | − | 0.559449i | −0.369701 | − | 0.929151i | \(-0.620540\pi\) |
0.929151 | + | 0.369701i | \(0.120540\pi\) | |||||||
\(114\) | −11.8888 | − | 10.8627i | −1.11349 | − | 1.01739i | ||||
\(115\) | −2.90777 | − | 14.6184i | −0.271151 | − | 1.36317i | ||||
\(116\) | 0.596111 | + | 0.815831i | 0.0553475 | + | 0.0757480i | ||||
\(117\) | −0.396028 | − | 1.58726i | −0.0366128 | − | 0.146743i | ||||
\(118\) | −5.54718 | + | 14.2295i | −0.510659 | + | 1.30994i | ||||
\(119\) | 1.48022 | + | 3.57357i | 0.135692 | + | 0.327589i | ||||
\(120\) | −8.98995 | + | 0.784461i | −0.820666 | + | 0.0716111i | ||||
\(121\) | −1.03611 | + | 2.50139i | −0.0941919 | + | 0.227399i | ||||
\(122\) | 0.181285 | − | 0.189058i | 0.0164128 | − | 0.0171165i | ||||
\(123\) | 16.1586 | + | 6.24163i | 1.45697 | + | 0.562789i | ||||
\(124\) | −5.24951 | − | 1.92054i | −0.471420 | − | 0.172470i | ||||
\(125\) | 6.76137 | − | 10.1191i | 0.604756 | − | 0.905081i | ||||
\(126\) | 12.1673 | + | 6.96492i | 1.08395 | + | 0.620484i | ||||
\(127\) | − | 22.0807i | − | 1.95935i | −0.200602 | − | 0.979673i | \(-0.564290\pi\) | ||
0.200602 | − | 0.979673i | \(-0.435710\pi\) | |||||||
\(128\) | −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 | \(-0.521196\pi\) |
−0.947296 | + | 0.320360i | \(0.896196\pi\) | |||||||
\(132\) | −11.1110 | − | 6.40598i | −0.967084 | − | 0.557569i | ||||
\(133\) | 21.3078 | + | 4.23839i | 1.84762 | + | 0.367515i | ||||
\(134\) | −2.56158 | − | 2.45626i | −0.221287 | − | 0.212188i | ||||
\(135\) | 7.55383 | − | 5.87822i | 0.650131 | − | 0.505916i | ||||
\(136\) | 3.20008 | − | 0.848919i | 0.274404 | − | 0.0727942i | ||||
\(137\) | 8.78236 | − | 3.63777i | 0.750328 | − | 0.310796i | 0.0254526 | − | 0.999676i | \(-0.491897\pi\) |
0.724875 | + | 0.688880i | \(0.241897\pi\) | |||||||
\(138\) | 16.9590 | + | 10.2577i | 1.44365 | + | 0.873197i | ||||
\(139\) | 9.49037 | − | 6.34126i | 0.804963 | − | 0.537859i | −0.0836617 | − | 0.996494i | \(-0.526662\pi\) |
0.888625 | + | 0.458635i | \(0.151662\pi\) | |||||||
\(140\) | 9.82957 | − | 7.18227i | 0.830750 | − | 0.607012i | ||||
\(141\) | 0.440705 | + | 18.2974i | 0.0371140 | + | 1.54092i | ||||
\(142\) | 16.4006 | + | 10.4675i | 1.37631 | + | 0.878411i | ||||
\(143\) | −1.42760 | − | 1.42760i | −0.119382 | − | 0.119382i | ||||
\(144\) | 7.29364 | − | 9.52905i | 0.607804 | − | 0.794087i | ||||
\(145\) | −0.658038 | + | 0.658038i | −0.0546471 | + | 0.0546471i | ||||
\(146\) | −12.9154 | + | 2.85202i | −1.06888 | + | 0.236035i | ||||
\(147\) | −6.78699 | + | 0.163469i | −0.559781 | + | 0.0134827i | ||||
\(148\) | 1.13964 | − | 1.87105i | 0.0936775 | − | 0.153799i | ||||
\(149\) | −4.81608 | − | 7.20777i | −0.394548 | − | 0.590484i | 0.580012 | − | 0.814608i | \(-0.303048\pi\) |
−0.974561 | + | 0.224124i | \(0.928048\pi\) | |||||||
\(150\) | 0.941030 | + | 3.82193i | 0.0768348 | + | 0.312059i | ||||
\(151\) | 1.60104 | + | 3.86526i | 0.130291 | + | 0.314551i | 0.975540 | − | 0.219822i | \(-0.0705478\pi\) |
−0.845249 | + | 0.534373i | \(0.820548\pi\) | |||||||
\(152\) | 6.02116 | − | 17.5936i | 0.488380 | − | 1.42703i | ||||
\(153\) | −2.36065 | + | 2.59974i | −0.190847 | + | 0.210176i | ||||
\(154\) | 17.2982 | − | 0.363076i | 1.39393 | − | 0.0292575i | ||||
\(155\) | 1.00438 | − | 5.04938i | 0.0806741 | − | 0.405576i | ||||
\(156\) | 1.49795 | − | 1.15086i | 0.119932 | − | 0.0921422i | ||||
\(157\) | −5.75579 | + | 8.61415i | −0.459362 | + | 0.687484i | −0.986770 | − | 0.162128i | \(-0.948164\pi\) |
0.527407 | + | 0.849613i | \(0.323164\pi\) | |||||||
\(158\) | −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 | ||||||||
\(162\) | −1.00496 | + | 12.6882i | −0.0789574 | + | 0.996878i | ||||
\(163\) | 0.602415 | + | 0.402521i | 0.0471847 | + | 0.0315278i | 0.578939 | − | 0.815371i | \(-0.303467\pi\) |
−0.531754 | + | 0.846899i | \(0.678467\pi\) | |||||||
\(164\) | 0.839278 | + | 19.9843i | 0.0655366 | + | 1.56051i | ||||
\(165\) | 4.25632 | − | 11.0189i | 0.331354 | − | 0.857822i | ||||
\(166\) | −12.8224 | + | 0.269132i | −0.995210 | + | 0.0208887i | ||||
\(167\) | 3.14806 | + | 1.30397i | 0.243604 | + | 0.100904i | 0.501145 | − | 0.865363i | \(-0.332912\pi\) |
−0.257541 | + | 0.966267i | \(0.582912\pi\) | |||||||
\(168\) | −1.76606 | + | 16.0920i | −0.136254 | + | 1.24152i | ||||
\(169\) | −11.7357 | + | 4.86109i | −0.902747 | + | 0.373930i | ||||
\(170\) | 1.22577 | + | 2.79206i | 0.0940121 | + | 0.214141i | ||||
\(171\) | 4.77469 | + | 19.1368i | 0.365130 | + | 1.46343i | ||||
\(172\) | −2.59319 | − | 10.6743i | −0.197729 | − | 0.813905i | ||||
\(173\) | −0.0807891 | + | 0.0160700i | −0.00614228 | + | 0.00122178i | −0.198161 | − | 0.980170i | \(-0.563497\pi\) |
0.192018 | + | 0.981391i | \(0.438497\pi\) | |||||||
\(174\) | −0.0557514 | − | 1.23624i | −0.00422650 | − | 0.0937189i | ||||
\(175\) | −3.75471 | − | 3.75471i | −0.283829 | − | 0.283829i | ||||
\(176\) | 1.66115 | − | 14.7160i | 0.125214 | − | 1.10926i | ||||
\(177\) | 15.2979 | − | 10.7634i | 1.14986 | − | 0.809028i | ||||
\(178\) | 13.0024 | + | 8.29865i | 0.974573 | + | 0.622010i | ||||
\(179\) | 15.2598 | − | 3.03535i | 1.14057 | − | 0.226873i | 0.411563 | − | 0.911381i | \(-0.364983\pi\) |
0.729005 | + | 0.684508i | \(0.239983\pi\) | |||||||
\(180\) | 9.70499 | + | 5.28819i | 0.723367 | + | 0.394158i | ||||
\(181\) | 9.09877 | + | 13.6173i | 0.676306 | + | 1.01216i | 0.997867 | + | 0.0652752i | \(0.0207925\pi\) |
−0.321561 | + | 0.946889i | \(0.604207\pi\) | |||||||
\(182\) | −0.925594 | + | 2.37432i | −0.0686096 | + | 0.175996i | ||||
\(183\) | −0.313035 | + | 0.0701422i | −0.0231402 | + | 0.00518506i | ||||
\(184\) | −3.04376 | + | 22.6828i | −0.224389 | + | 1.67220i | ||||
\(185\) | 1.86417 | + | 0.772166i | 0.137057 | + | 0.0567708i | ||||
\(186\) | 4.05606 | + | 5.51517i | 0.297405 | + | 0.404392i | ||||
\(187\) | −0.845470 | + | 4.25046i | −0.0618269 | + | 0.310825i | ||||
\(188\) | −19.1689 | + | 8.89987i | −1.39804 | + | 0.649090i | ||||
\(189\) | −7.69879 | − | 15.3479i | −0.560005 | − | 1.11640i | ||||
\(190\) | 16.8641 | + | 2.98804i | 1.22345 | + | 0.216775i | ||||
\(191\) | −1.98808 | −0.143852 | −0.0719260 | − | 0.997410i | \(-0.522915\pi\) | ||||
−0.0719260 | + | 0.997410i | \(0.522915\pi\) | |||||||
\(192\) | 13.4503 | + | 3.33005i | 0.970692 | + | 0.240326i | ||||
\(193\) | 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 | ||||
\(195\) | 1.25949 | + | 1.20025i | 0.0901943 | + | 0.0859517i | ||||
\(196\) | −3.30119 | − | 7.11023i | −0.235799 | − | 0.507873i | ||||
\(197\) | 0.501219 | − | 2.51980i | 0.0357103 | − | 0.179528i | −0.958814 | − | 0.284036i | \(-0.908327\pi\) |
0.994524 | + | 0.104508i | \(0.0333266\pi\) | |||||||
\(198\) | 6.99943 | + | 14.0621i | 0.497428 | + | 0.999350i | ||||
\(199\) | 1.03878 | + | 0.430275i | 0.0736368 | + | 0.0305014i | 0.419198 | − | 0.907895i | \(-0.362311\pi\) |
−0.345561 | + | 0.938396i | \(0.612311\pi\) | |||||||
\(200\) | −3.61266 | + | 2.75782i | −0.255454 | + | 0.195007i | ||||
\(201\) | 0.950368 | + | 4.24136i | 0.0670338 | + | 0.299163i | ||||
\(202\) | 2.20214 | − | 5.64891i | 0.154942 | − | 0.397456i | ||||
\(203\) | 0.927492 | + | 1.38809i | 0.0650972 | + | 0.0974248i | ||||
\(204\) | −3.84044 | − | 1.30107i | −0.268884 | − | 0.0910931i | ||||
\(205\) | −18.0682 | + | 3.59398i | −1.26193 | + | 0.251014i | ||||
\(206\) | 9.79475 | + | 6.25139i | 0.682433 | + | 0.435555i | ||||
\(207\) | −10.3583 | − | 21.9533i | −0.719952 | − | 1.52586i | ||||
\(208\) | 1.90885 | + | 1.05549i | 0.132355 | + | 0.0731854i | ||||
\(209\) | 17.2118 | + | 17.2118i | 1.19056 | + | 1.19056i | ||||
\(210\) | −14.8949 | + | 0.671723i | −1.02784 | + | 0.0463533i | ||||
\(211\) | 14.1029 | − | 2.80524i | 0.970885 | − | 0.193121i | 0.315924 | − | 0.948784i | \(-0.397685\pi\) |
0.654960 | + | 0.755663i | \(0.272685\pi\) | |||||||
\(212\) | 4.73165 | − | 1.14950i | 0.324971 | − | 0.0789480i | ||||
\(213\) | −9.64640 | − | 21.7891i | −0.660961 | − | 1.49297i | ||||
\(214\) | −1.75770 | − | 4.00370i | −0.120154 | − | 0.273687i | ||||
\(215\) | 9.34703 | − | 3.87167i | 0.637462 | − | 0.264046i | ||||
\(216\) | −13.8965 | + | 4.78400i | −0.945539 | + | 0.325510i | ||||
\(217\) | −8.53266 | − | 3.53434i | −0.579235 | − | 0.239927i | ||||
\(218\) | −4.12475 | + | 0.0865751i | −0.279363 | + | 0.00586361i | ||||
\(219\) | 15.1110 | + | 5.83698i | 1.02110 | + | 0.394426i | ||||
\(220\) | 13.6278 | − | 0.572324i | 0.918784 | − | 0.0385861i | ||||
\(221\) | −0.530727 | − | 0.354621i | −0.0357006 | − | 0.0238544i | ||||
\(222\) | −2.43015 | + | 1.13744i | −0.163101 | + | 0.0763401i | ||||
\(223\) | 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 | \(-0.999957\pi\) | |
0.382808 | + | 0.923828i | \(0.374957\pi\) | |||||||
\(228\) | −18.0600 | + | 13.8752i | −1.19605 | + | 0.918910i | ||||
\(229\) | −1.72964 | + | 8.69549i | −0.114298 | + | 0.574614i | 0.880611 | + | 0.473839i | \(0.157132\pi\) |
−0.994909 | + | 0.100775i | \(0.967868\pi\) | |||||||
\(230\) | −21.0739 | + | 0.442324i | −1.38957 | + | 0.0291660i | ||||
\(231\) | −17.8977 | − | 11.3452i | −1.17758 | − | 0.746459i | ||||
\(232\) | 1.28314 | − | 0.628807i | 0.0842425 | − | 0.0412832i | ||||
\(233\) | 4.61203 | + | 11.1344i | 0.302144 | + | 0.729441i | 0.999914 | + | 0.0131185i | \(0.00417587\pi\) |
−0.697770 | + | 0.716322i | \(0.745824\pi\) | |||||||
\(234\) | −2.30802 | + | 0.159850i | −0.150880 | + | 0.0104497i | ||||
\(235\) | −10.8142 | − | 16.1846i | −0.705439 | − | 1.05576i | ||||
\(236\) | 18.4463 | + | 11.2355i | 1.20075 | + | 0.731367i | ||||
\(237\) | 0.589764 | + | 24.4862i | 0.0383093 | + | 1.59055i | ||||
\(238\) | 5.34150 | − | 1.17953i | 0.346238 | − | 0.0764575i | ||||
\(239\) | 12.7729 | − | 12.7729i | 0.826209 | − | 0.826209i | −0.160781 | − | 0.986990i | \(-0.551401\pi\) |
0.986990 | + | 0.160781i | \(0.0514014\pi\) | |||||||
\(240\) | −1.12573 | + | 12.7123i | −0.0726655 | + | 0.820573i | ||||
\(241\) | −1.12018 | − | 1.12018i | −0.0721574 | − | 0.0721574i | 0.670107 | − | 0.742264i | \(-0.266248\pi\) |
−0.742264 | + | 0.670107i | \(0.766248\pi\) | |||||||
\(242\) | 3.22761 | + | 2.05998i | 0.207478 | + | 0.132421i | ||||
\(243\) | 9.61892 | − | 12.2669i | 0.617054 | − | 0.786921i | ||||
\(244\) | −0.218539 | − | 0.299090i | −0.0139905 | − | 0.0191473i | ||||
\(245\) | 6.00326 | − | 4.01125i | 0.383534 | − | 0.256269i | ||||
\(246\) | 12.6785 | − | 20.9612i | 0.808349 | − | 1.33643i | ||||
\(247\) | −3.31221 | + | 1.37196i | −0.210751 | + | 0.0872960i | ||||
\(248\) | −3.96963 | + | 6.83620i | −0.252072 | + | 0.434099i | ||||
\(249\) | 13.2667 | + | 8.40967i | 0.840745 | + | 0.532941i | ||||
\(250\) | −12.4229 | − | 11.9121i | −0.785691 | − | 0.753387i | ||||
\(251\) | 4.95413 | + | 0.985437i | 0.312702 | + | 0.0622002i | 0.348946 | − | 0.937143i | \(-0.386540\pi\) |
−0.0362446 | + | 0.999343i | \(0.511540\pi\) | |||||||
\(252\) | 12.7009 | − | 15.2248i | 0.800080 | − | 0.959070i | ||||
\(253\) | −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 | \(0.768236\pi\) | |||||||
\(258\) | −4.58324 | + | 12.6487i | −0.285340 | + | 0.787477i | ||||
\(259\) | 2.01101 | − | 3.00969i | 0.124958 | − | 0.187013i | ||||
\(260\) | −0.690238 | + | 1.88666i | −0.0428068 | + | 0.117006i | ||||
\(261\) | −0.780385 | + | 1.29926i | −0.0483046 | + | 0.0804225i | ||||
\(262\) | −13.6599 | + | 14.2457i | −0.843914 | + | 0.880099i | ||||
\(263\) | 1.14122 | − | 2.75514i | 0.0703705 | − | 0.169889i | −0.884781 | − | 0.466007i | \(-0.845692\pi\) |
0.955151 | + | 0.296118i | \(0.0956921\pi\) | |||||||
\(264\) | −11.6619 | + | 13.8917i | −0.717741 | + | 0.854976i | ||||
\(265\) | 1.71622 | + | 4.14332i | 0.105426 | + | 0.254522i | ||||
\(266\) | 11.1594 | − | 28.6259i | 0.684225 | − | 1.75517i | ||||
\(267\) | −7.64770 | − | 17.2745i | −0.468032 | − | 1.05718i | ||||
\(268\) | −4.05242 | + | 2.96102i | −0.247541 | + | 0.180873i | ||||
\(269\) | −2.86161 | − | 14.3863i | −0.174476 | − | 0.877148i | −0.964502 | − | 0.264075i | \(-0.914933\pi\) |
0.790026 | − | 0.613073i | \(-0.210067\pi\) | |||||||
\(270\) | −6.32178 | − | 11.9692i | −0.384731 | − | 0.728425i | ||||
\(271\) | −14.9476 | + | 14.9476i | −0.907999 | + | 0.907999i | −0.996111 | − | 0.0881113i | \(-0.971917\pi\) |
0.0881113 | + | 0.996111i | \(0.471917\pi\) | |||||||
\(272\) | −0.392577 | − | 4.66564i | −0.0238035 | − | 0.282896i | ||||
\(273\) | 2.55258 | − | 1.79597i | 0.154489 | − | 0.108697i | ||||
\(274\) | −2.89880 | − | 13.1272i | −0.175123 | − | 0.793044i | ||||
\(275\) | −1.16065 | − | 5.83499i | −0.0699900 | − | 0.351863i | ||||
\(276\) | 18.4685 | − | 21.0849i | 1.11167 | − | 1.26916i | ||||
\(277\) | 0.819369 | − | 0.547485i | 0.0492311 | − | 0.0328952i | −0.530711 | − | 0.847553i | \(-0.678075\pi\) |
0.579942 | + | 0.814658i | \(0.303075\pi\) | |||||||
\(278\) | −6.48878 | − | 14.7802i | −0.389171 | − | 0.886456i | ||||
\(279\) | −0.403667 | − | 8.37497i | −0.0241669 | − | 0.501396i | ||||
\(280\) | −7.57621 | − | 15.4600i | −0.452765 | − | 0.923912i | ||||
\(281\) | −5.35268 | + | 12.9225i | −0.319314 | + | 0.770893i | 0.679976 | + | 0.733234i | \(0.261990\pi\) |
−0.999291 | + | 0.0376590i | \(0.988010\pi\) | |||||||
\(282\) | 25.5884 | + | 3.90088i | 1.52376 | + | 0.232294i | ||||
\(283\) | −2.79329 | − | 0.555619i | −0.166044 | − | 0.0330281i | 0.111368 | − | 0.993779i | \(-0.464477\pi\) |
−0.277412 | + | 0.960751i | \(0.589477\pi\) | |||||||
\(284\) | 18.6228 | − | 20.2555i | 1.10506 | − | 1.20194i | ||||
\(285\) | −15.1850 | − | 14.4708i | −0.899484 | − | 0.857174i | ||||
\(286\) | −2.34020 | + | 1.63573i | −0.138379 | + | 0.0967227i | ||||
\(287\) | 33.0480i | 1.95076i | ||||||||
\(288\) | −11.4699 | − | 12.5077i | −0.675868 | − | 0.737023i | ||||
\(289\) | − | 15.6299i | − | 0.919403i | ||||||
\(290\) | 0.753975 | + | 1.07869i | 0.0442749 | + | 0.0633431i | ||||
\(291\) | −18.9823 | − | 18.0895i | −1.11276 | − | 1.06042i | ||||
\(292\) | 0.784866 | + | 18.6887i | 0.0459308 | + | 1.09367i | ||||
\(293\) | 28.5066 | + | 5.67031i | 1.66537 | + | 0.331263i | 0.935771 | − | 0.352609i | \(-0.114706\pi\) |
0.729602 | + | 0.683872i | \(0.239706\pi\) | |||||||
\(294\) | −1.44693 | + | 9.49137i | −0.0843869 | + | 0.553548i | ||||
\(295\) | −7.61264 | + | 18.3785i | −0.443225 | + | 1.07004i | ||||
\(296\) | −2.32429 | − | 2.04862i | −0.135097 | − | 0.119074i | ||||
\(297\) | 2.38145 | − | 19.0901i | 0.138185 | − | 1.10772i | ||||
\(298\) | −11.2253 | + | 4.92812i | −0.650263 | + | 0.285478i | ||||
\(299\) | 3.66872 | − | 2.45136i | 0.212168 | − | 0.141766i | ||||
\(300\) | 5.55431 | − | 0.367414i | 0.320678 | − | 0.0212127i | ||||
\(301\) | −3.54078 | − | 17.8007i | −0.204087 | − | 1.02602i | ||||
\(302\) | 5.77750 | − | 1.27581i | 0.332458 | − | 0.0734145i | ||||
\(303\) | −6.07303 | + | 4.27291i | −0.348886 | + | 0.245472i | ||||
\(304\) | −23.0139 | − | 12.7255i | −1.31994 | − | 0.729859i | ||||
\(305\) | 0.241242 | − | 0.241242i | 0.0138135 | − | 0.0138135i | ||||
\(306\) | 3.03775 | + | 3.92870i | 0.173657 | + | 0.224589i | ||||
\(307\) | 2.86761 | + | 14.4164i | 0.163663 | + | 0.822790i | 0.972165 | + | 0.234296i | \(0.0752786\pi\) |
−0.808502 | + | 0.588493i | \(0.799721\pi\) | |||||||
\(308\) | 3.76244 | − | 24.1778i | 0.214385 | − | 1.37766i | ||||
\(309\) | −5.76103 | − | 13.0129i | −0.327733 | − | 0.740279i | ||||
\(310\) | −6.78357 | − | 2.64448i | −0.385281 | − | 0.150196i | ||||
\(311\) | 1.95981 | + | 4.73141i | 0.111131 | + | 0.268294i | 0.969654 | − | 0.244481i | \(-0.0786176\pi\) |
−0.858523 | + | 0.512775i | \(0.828618\pi\) | |||||||
\(312\) | −1.23300 | − | 2.36989i | −0.0698049 | − | 0.134168i | ||||
\(313\) | −0.752332 | + | 1.81629i | −0.0425243 | + | 0.102663i | −0.943715 | − | 0.330761i | \(-0.892695\pi\) |
0.901190 | + | 0.433424i | \(0.142695\pi\) | |||||||
\(314\) | 10.5753 | + | 10.1405i | 0.596797 | + | 0.572260i | ||||
\(315\) | 15.6542 | + | 9.40250i | 0.882017 | + | 0.529771i | ||||
\(316\) | −25.6524 | + | 11.9101i | −1.44306 | + | 0.669993i | ||||
\(317\) | 6.37904 | − | 9.54690i | 0.358282 | − | 0.536208i | −0.607918 | − | 0.794000i | \(-0.707995\pi\) |
0.966200 | + | 0.257792i | \(0.0829950\pi\) | |||||||
\(318\) | −5.60689 | − | 2.03164i | −0.314419 | − | 0.113929i | ||||
\(319\) | 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 | ||||
\(324\) | 17.4206 | + | 4.53002i | 0.967814 | + | 0.251668i | ||||
\(325\) | 0.859416 | + | 0.170948i | 0.0476718 | + | 0.00948251i | ||||
\(326\) | 0.709155 | − | 0.739562i | 0.0392764 | − | 0.0409605i | ||||
\(327\) | 4.26769 | + | 2.70525i | 0.236004 | + | 0.149601i | ||||
\(328\) | 28.0357 | + | 3.76205i | 1.54801 | + | 0.207724i | ||||
\(329\) | −32.2607 | + | 13.3628i | −1.77859 | + | 0.736717i | ||||
\(330\) | −14.2939 | − | 8.64576i | −0.786855 | − | 0.475933i | ||||
\(331\) | −28.1107 | + | 18.7830i | −1.54510 | + | 1.03240i | −0.567141 | + | 0.823621i | \(0.691950\pi\) |
−0.977962 | + | 0.208784i | \(0.933050\pi\) | |||||||
\(332\) | −2.78892 | + | 17.9219i | −0.153062 | + | 0.983591i | ||||
\(333\) | 3.25018 | + | 0.485193i | 0.178109 | + | 0.0265884i | ||||
\(334\) | 2.59254 | − | 4.06202i | 0.141857 | − | 0.222264i | ||||
\(335\) | −3.26863 | − | 3.26863i | −0.178584 | − | 0.178584i | ||||
\(336\) | 21.9727 | + | 6.42968i | 1.19871 | + | 0.350768i | ||||
\(337\) | −2.58232 | + | 2.58232i | −0.140668 | + | 0.140668i | −0.773934 | − | 0.633266i | \(-0.781714\pi\) |
0.633266 | + | 0.773934i | \(0.281714\pi\) | |||||||
\(338\) | 3.87361 | + | 17.5416i | 0.210696 | + | 0.954140i | ||||
\(339\) | 0.350758 | + | 14.5630i | 0.0190505 | + | 0.790951i | ||||
\(340\) | 4.19044 | − | 1.01802i | 0.227259 | − | 0.0552099i | ||||
\(341\) | −5.74889 | − | 8.60382i | −0.311320 | − | 0.465923i | ||||
\(342\) | 27.8265 | − | 1.92722i | 1.50468 | − | 0.104212i | ||||
\(343\) | 3.89538 | + | 9.40427i | 0.210331 | + | 0.507783i | ||||
\(344\) | −15.5040 | + | 0.977398i | −0.835919 | + | 0.0526978i | ||||
\(345\) | 21.8042 | + | 13.8215i | 1.17390 | + | 0.744124i | ||||
\(346\) | 0.00244452 | + | 0.116466i | 0.000131418 | + | 0.00626124i | ||||
\(347\) | −5.96824 | + | 30.0043i | −0.320392 | + | 1.61072i | 0.399569 | + | 0.916703i | \(0.369160\pi\) |
−0.719961 | + | 0.694015i | \(0.755840\pi\) | |||||||
\(348\) | −1.73525 | − | 0.227385i | −0.0930190 | − | 0.0121891i | ||||
\(349\) | 6.31423 | − | 9.44991i | 0.337993 | − | 0.505842i | −0.623072 | − | 0.782164i | \(-0.714116\pi\) |
0.961065 | + | 0.276322i | \(0.0891157\pi\) | |||||||
\(350\) | −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 | \(-0.666185\pi\) | ||||
−0.498690 | + | 0.866781i | \(0.666185\pi\) | |||||||
\(354\) | −11.2138 | − | 23.9584i | −0.596008 | − | 1.27337i | ||||
\(355\) | 21.0712 | + | 14.0793i | 1.11834 | + | 0.747254i | ||||
\(356\) | 14.7642 | − | 16.0587i | 0.782500 | − | 0.851107i | ||||
\(357\) | −6.24954 | − | 2.41404i | −0.330761 | − | 0.127764i | ||||
\(358\) | −0.461731 | − | 21.9985i | −0.0244032 | − | 1.16266i | ||||
\(359\) | −18.0775 | − | 7.48794i | −0.954094 | − | 0.395199i | −0.149326 | − | 0.988788i | \(-0.547710\pi\) |
−0.804768 | + | 0.593590i | \(0.797710\pi\) | |||||||
\(360\) | 9.75846 | − | 12.2097i | 0.514316 | − | 0.643506i | ||||
\(361\) | 22.3798 | − | 9.27003i | 1.17789 | − | 0.487896i | ||||
\(362\) | 21.2073 | − | 9.31044i | 1.11463 | − | 0.489346i | ||||
\(363\) | −1.89840 | − | 4.28807i | −0.0996400 | − | 0.225065i | ||||
\(364\) | 3.07793 | + | 1.87473i | 0.161327 | + | 0.0982627i | ||||
\(365\) | −16.8968 | + | 3.36097i | −0.884417 | + | 0.175921i | ||||
\(366\) | 0.0204389 | + | 0.453215i | 0.00106836 | + | 0.0236899i | ||||
\(367\) | −1.66204 | − | 1.66204i | −0.0867576 | − | 0.0867576i | 0.662396 | − | 0.749154i | \(-0.269540\pi\) |
−0.749154 | + | 0.662396i | \(0.769540\pi\) | |||||||
\(368\) | 30.8353 | + | 9.83507i | 1.60740 | + | 0.512689i | ||||
\(369\) | −27.1341 | + | 12.8028i | −1.41255 | + | 0.666485i | ||||
\(370\) | 1.53521 | − | 2.40539i | 0.0798118 | − | 0.125050i | ||||
\(371\) | 7.89063 | − | 1.56954i | 0.409661 | − | 0.0814867i | ||||
\(372\) | 8.68076 | − | 4.28739i | 0.450077 | − | 0.222291i | ||||
\(373\) | 3.60356 | + | 5.39311i | 0.186585 | + | 0.279245i | 0.912956 | − | 0.408059i | \(-0.133794\pi\) |
−0.726370 | + | 0.687304i | \(0.758794\pi\) | |||||||
\(374\) | 5.71027 | + | 2.22606i | 0.295271 | + | 0.115107i | ||||
\(375\) | 4.60899 | + | 20.5693i | 0.238007 | + | 1.06219i | ||||
\(376\) | 7.66370 | + | 28.8890i | 0.395225 | + | 1.48984i | ||||
\(377\) | −0.254522 | − | 0.105426i | −0.0131085 | − | 0.00542973i | ||||
\(378\) | −23.2719 | + | 6.93394i | −1.19697 | + | 0.356643i | ||||
\(379\) | 0.395416 | − | 1.98789i | 0.0203112 | − | 0.102111i | −0.969300 | − | 0.245881i | \(-0.920923\pi\) |
0.989611 | + | 0.143770i | \(0.0459226\pi\) | |||||||
\(380\) | 8.32182 | − | 22.7464i | 0.426900 | − | 1.16687i | ||||
\(381\) | 27.6866 | + | 26.3842i | 1.41842 | + | 1.35170i | ||||
\(382\) | −0.490522 | + | 2.76844i | −0.0250973 | + | 0.141646i | ||||
\(383\) | −24.1070 | −1.23181 | −0.615905 | − | 0.787821i | \(-0.711209\pi\) | ||||
−0.615905 | + | 0.787821i | \(0.711209\pi\) | |||||||
\(384\) | 7.95580 | − | 17.9082i | 0.405993 | − | 0.913876i | ||||
\(385\) | 22.5362 | 1.14855 | ||||||||
\(386\) | 2.96037 | − | 16.7079i | 0.150679 | − | 0.850410i | ||||
\(387\) | 13.2436 | − | 9.80315i | 0.673211 | − | 0.498322i | ||||
\(388\) | 10.4029 | − | 28.4346i | 0.528125 | − | 1.44355i | ||||
\(389\) | 7.20317 | − | 36.2128i | 0.365215 | − | 1.83606i | −0.162587 | − | 0.986694i | \(-0.551984\pi\) |
0.527802 | − | 0.849367i | \(-0.323016\pi\) | |||||||
\(390\) | 1.98214 | − | 1.45774i | 0.100369 | − | 0.0738154i | ||||
\(391\) | −8.75034 | − | 3.62451i | −0.442524 | − | 0.183299i | ||||
\(392\) | −10.7157 | + | 2.84266i | −0.541223 | + | 0.143576i | ||||
\(393\) | 23.5874 | − | 5.28526i | 1.18983 | − | 0.266606i | ||||
\(394\) | −3.38521 | − | 1.31967i | −0.170544 | − | 0.0664842i | ||||
\(395\) | −14.4718 | − | 21.6586i | −0.728157 | − | 1.08976i | ||||
\(396\) | 21.3088 | − | 6.27730i | 1.07081 | − | 0.315446i | ||||
\(397\) | 30.1732 | − | 6.00182i | 1.51435 | − | 0.301223i | 0.633173 | − | 0.774011i | \(-0.281752\pi\) |
0.881176 | + | 0.472788i | \(0.156752\pi\) | |||||||
\(398\) | 0.855467 | − | 1.34036i | 0.0428807 | − | 0.0671860i | ||||
\(399\) | −30.7751 | + | 21.6530i | −1.54068 | + | 1.08400i | ||||
\(400\) | 2.94897 | + | 5.71116i | 0.147449 | + | 0.285558i | ||||
\(401\) | 9.14394 | + | 9.14394i | 0.456626 | + | 0.456626i | 0.897546 | − | 0.440920i | \(-0.145348\pi\) |
−0.440920 | + | 0.897546i | \(0.645348\pi\) | |||||||
\(402\) | 6.14068 | − | 0.276930i | 0.306270 | − | 0.0138120i | ||||
\(403\) | 1.49479 | − | 0.297333i | 0.0744610 | − | 0.0148112i | ||||
\(404\) | −7.32290 | − | 4.46030i | −0.364328 | − | 0.221908i | ||||
\(405\) | −1.65550 | + | 16.4955i | −0.0822623 | + | 0.819667i | ||||
\(406\) | 2.16179 | − | 0.949068i | 0.107288 | − | 0.0471015i | ||||
\(407\) | 3.74685 | − | 1.55200i | 0.185725 | − | 0.0769296i | ||||
\(408\) | −2.75933 | + | 5.02689i | −0.136607 | + | 0.248868i | ||||
\(409\) | −25.5396 | − | 10.5789i | −1.26285 | − | 0.523091i | −0.352069 | − | 0.935974i | \(-0.614522\pi\) |
−0.910784 | + | 0.412883i | \(0.864522\pi\) | |||||||
\(410\) | 0.546708 | + | 26.0471i | 0.0270000 | + | 1.28637i | ||||
\(411\) | −5.93271 | + | 15.3588i | −0.292639 | + | 0.757594i | ||||
\(412\) | 11.1219 | − | 12.0970i | 0.547936 | − | 0.595977i | ||||
\(413\) | 29.6720 | + | 19.8262i | 1.46006 | + | 0.975583i | ||||
\(414\) | −33.1263 | + | 9.00760i | −1.62807 | + | 0.442699i | ||||
\(415\) | −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 | \(-0.968002\pi\) |
0.473468 | + | 0.880811i | \(0.343002\pi\) | |||||||
\(420\) | −2.73965 | + | 20.9072i | −0.133681 | + | 1.02017i | ||||
\(421\) | 4.39818 | − | 22.1111i | 0.214354 | − | 1.07763i | −0.712346 | − | 0.701829i | \(-0.752367\pi\) |
0.926700 | − | 0.375802i | \(-0.122633\pi\) | |||||||
\(422\) | −0.426727 | − | 20.3308i | −0.0207727 | − | 0.989687i | ||||
\(423\) | −23.4694 | − | 21.3110i | −1.14112 | − | 1.03618i | ||||
\(424\) | −0.433257 | − | 6.87255i | −0.0210408 | − | 0.333761i | ||||
\(425\) | −0.719798 | − | 1.73775i | −0.0349153 | − | 0.0842931i | ||||
\(426\) | −32.7220 | + | 8.05676i | −1.58539 | + | 0.390351i | ||||
\(427\) | −0.340026 | − | 0.508885i | −0.0164550 | − | 0.0246267i | ||||
\(428\) | −6.00893 | + | 1.45980i | −0.290453 | + | 0.0705622i | ||||
\(429\) | 3.49587 | − | 0.0842002i | 0.168782 | − | 0.00406522i | ||||
\(430\) | −3.08518 | − | 13.9712i | −0.148780 | − | 0.673753i | ||||
\(431\) | −10.8612 | + | 10.8612i | −0.523167 | + | 0.523167i | −0.918527 | − | 0.395359i | \(-0.870620\pi\) |
0.395359 | + | 0.918527i | \(0.370620\pi\) | |||||||
\(432\) | 3.23311 | + | 20.5316i | 0.155553 | + | 0.987828i | ||||
\(433\) | 6.03352 | + | 6.03352i | 0.289952 | + | 0.289952i | 0.837061 | − | 0.547109i | \(-0.184272\pi\) |
−0.547109 | + | 0.837061i | \(0.684272\pi\) | |||||||
\(434\) | −7.02694 | + | 11.0099i | −0.337304 | + | 0.528492i | ||||
\(435\) | −0.0388113 | − | 1.61139i | −0.00186086 | − | 0.0772603i | ||||
\(436\) | −0.897150 | + | 5.76517i | −0.0429657 | + | 0.276102i | ||||
\(437\) | −44.2317 | + | 29.5547i | −2.11589 | + | 1.41379i | ||||
\(438\) | 11.8565 | − | 19.6022i | 0.566525 | − | 0.936630i | ||||
\(439\) | 12.3126 | − | 5.10006i | 0.587650 | − | 0.243412i | −0.0689894 | − | 0.997617i | \(-0.521977\pi\) |
0.656639 | + | 0.754205i | \(0.271977\pi\) | |||||||
\(440\) | 2.56543 | − | 19.1182i | 0.122302 | − | 0.911425i | ||||
\(441\) | 7.90480 | − | 8.70539i | 0.376419 | − | 0.414543i | ||||
\(442\) | −0.624766 | + | 0.651554i | −0.0297171 | + | 0.0309913i | ||||
\(443\) | 39.4508 | + | 7.84725i | 1.87436 | + | 0.372834i | 0.994705 | − | 0.102774i | \(-0.0327717\pi\) |
0.879658 | + | 0.475607i | \(0.157772\pi\) | |||||||
\(444\) | 0.984319 | + | 3.66468i | 0.0467137 | + | 0.173918i | ||||
\(445\) | 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 | \(-0.0473407\pi\) | |||||||
\(450\) | −5.91668 | − | 3.38688i | −0.278915 | − | 0.159659i | ||||
\(451\) | −20.5712 | + | 30.7869i | −0.968659 | + | 1.44970i | ||||
\(452\) | −15.2565 | + | 7.08342i | −0.717608 | + | 0.333176i | ||||
\(453\) | −6.75966 | − | 2.61108i | −0.317597 | − | 0.122679i | ||||
\(454\) | 17.0852 | + | 16.3827i | 0.801847 | + | 0.768879i | ||||
\(455\) | −1.27023 | + | 3.06662i | −0.0595495 | + | 0.143765i | ||||
\(456\) | 14.8656 | + | 28.5724i | 0.696146 | + | 1.33803i | ||||
\(457\) | −3.03960 | − | 7.33824i | −0.142186 | − | 0.343268i | 0.836704 | − | 0.547656i | \(-0.184480\pi\) |
−0.978890 | + | 0.204388i | \(0.934480\pi\) | |||||||
\(458\) | 11.6819 | + | 4.55402i | 0.545860 | + | 0.212795i | ||||
\(459\) | −0.439018 | − | 6.06640i | −0.0204916 | − | 0.283155i | ||||
\(460\) | −4.58366 | + | 29.4550i | −0.213714 | + | 1.37335i | ||||
\(461\) | −4.23707 | − | 21.3012i | −0.197340 | − | 0.992096i | −0.944765 | − | 0.327749i | \(-0.893710\pi\) |
0.747425 | − | 0.664347i | \(-0.231290\pi\) | |||||||
\(462\) | −20.2144 | + | 22.1237i | −0.940459 | + | 1.02929i | ||||
\(463\) | 24.9132 | − | 24.9132i | 1.15781 | − | 1.15781i | 0.172869 | − | 0.984945i | \(-0.444696\pi\) |
0.984945 | − | 0.172869i | \(-0.0553036\pi\) | |||||||
\(464\) | −0.559036 | − | 1.94196i | −0.0259526 | − | 0.0901530i | ||||
\(465\) | 5.13118 | + | 7.29289i | 0.237953 | + | 0.338199i | ||||
\(466\) | 16.6429 | − | 3.67514i | 0.770967 | − | 0.170248i | ||||
\(467\) | −4.59236 | − | 23.0874i | −0.212509 | − | 1.06836i | −0.928808 | − | 0.370562i | \(-0.879165\pi\) |
0.716299 | − | 0.697794i | \(-0.245835\pi\) | |||||||
\(468\) | −0.346868 | + | 3.25341i | −0.0160340 | + | 0.150389i | ||||
\(469\) | −6.89497 | + | 4.60707i | −0.318380 | + | 0.212735i | ||||
\(470\) | −25.2056 | + | 11.0657i | −1.16265 | + | 0.510425i | ||||
\(471\) | −3.92352 | − | 17.5101i | −0.180786 | − | 0.806824i | ||||
\(472\) | 20.1970 | − | 22.9148i | 0.929640 | − | 1.05474i | ||||
\(473\) | 7.78177 | − | 18.7869i | 0.357806 | − | 0.863821i | ||||
\(474\) | 34.2431 | + | 5.22026i | 1.57284 | + | 0.239775i | ||||
\(475\) | −10.3615 | − | 2.06103i | −0.475418 | − | 0.0945666i | ||||
\(476\) | −0.324602 | − | 7.72919i | −0.0148781 | − | 0.354267i | ||||
\(477\) | 4.34550 | + | 5.87058i | 0.198967 | + | 0.268795i | ||||
\(478\) | −14.6351 | − | 20.9380i | −0.669392 | − | 0.957683i | ||||
\(479\) | − | 16.8605i | − | 0.770374i | −0.922838 | − | 0.385187i | \(-0.874137\pi\) | ||
0.922838 | − | 0.385187i | \(-0.125863\pi\) | |||||||
\(480\) | 17.4244 | + | 4.70413i | 0.795311 | + | 0.214713i | ||||
\(481\) | 0.597330i | 0.0272359i | ||||||||
\(482\) | −1.83627 | + | 1.28350i | −0.0836397 | + | 0.0584617i | ||||
\(483\) | 31.9493 | − | 33.5263i | 1.45374 | − | 1.52550i | ||||
\(484\) | 3.66493 | − | 3.98626i | 0.166588 | − | 0.181194i | ||||
\(485\) | 27.3506 | + | 5.44037i | 1.24193 | + | 0.247034i | ||||
\(486\) | −14.7086 | − | 16.4212i | −0.667197 | − | 0.744881i | ||||
\(487\) | −5.51670 | + | 13.3185i | −0.249986 | + | 0.603519i | −0.998202 | − | 0.0599357i | \(-0.980910\pi\) |
0.748216 | + | 0.663455i | \(0.230910\pi\) | |||||||
\(488\) | −0.470411 | + | 0.230526i | −0.0212945 | + | 0.0104354i | ||||
\(489\) | −1.22454 | + | 0.274384i | −0.0553755 | + | 0.0124081i | ||||
\(490\) | −4.10457 | − | 9.34939i | −0.185425 | − | 0.422362i | ||||
\(491\) | 8.17112 | − | 5.45977i | 0.368758 | − | 0.246396i | −0.357360 | − | 0.933967i | \(-0.616323\pi\) |
0.726117 | + | 0.687571i | \(0.241323\pi\) | |||||||
\(492\) | −26.0607 | − | 22.8269i | −1.17491 | − | 1.02911i | ||||
\(493\) | 0.115368 | + | 0.579996i | 0.00519593 | + | 0.0261217i | ||||
\(494\) | 1.09326 | + | 4.95085i | 0.0491882 | + | 0.222749i | ||||
\(495\) | 8.73052 | + | 18.5034i | 0.392408 | + | 0.831667i | ||||
\(496\) | 8.54014 | + | 7.21451i | 0.383464 | + | 0.323941i | ||||
\(497\) | 32.1465 | − | 32.1465i | 1.44197 | − | 1.44197i | ||||
\(498\) | 14.9840 | − | 16.3993i | 0.671449 | − | 0.734871i | ||||
\(499\) | 3.78425 | + | 19.0247i | 0.169407 | + | 0.851664i | 0.968223 | + | 0.250089i | \(0.0804599\pi\) |
−0.798816 | + | 0.601575i | \(0.794540\pi\) | |||||||
\(500\) | −19.6530 | + | 14.3600i | −0.878908 | + | 0.642200i | ||||
\(501\) | −5.39664 | + | 2.38918i | −0.241104 | + | 0.106741i | ||||
\(502\) | 2.59459 | − | 6.65560i | 0.115802 | − | 0.297054i | ||||
\(503\) | −4.59413 | − | 11.0912i | −0.204842 | − | 0.494532i | 0.787755 | − | 0.615989i | \(-0.211243\pi\) |
−0.992597 | + | 0.121457i | \(0.961243\pi\) | |||||||
\(504\) | −18.0671 | − | 21.4427i | −0.804774 | − | 0.955134i | ||||
\(505\) | 3.02210 | − | 7.29599i | 0.134482 | − | 0.324667i | ||||
\(506\) | −29.3222 | + | 30.5795i | −1.30353 | + | 1.35943i | ||||
\(507\) | 7.92777 | − | 20.5237i | 0.352085 | − | 0.911489i | ||||
\(508\) | −15.1730 | + | 41.4730i | −0.673193 | + | 1.84007i | ||||
\(509\) | 13.6072 | − | 20.3646i | 0.603129 | − | 0.902647i | −0.396754 | − | 0.917925i | \(-0.629863\pi\) |
0.999883 | + | 0.0152784i | \(0.00486345\pi\) | |||||||
\(510\) | −4.96558 | − | 1.79926i | −0.219879 | − | 0.0796727i | ||||
\(511\) | 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 | ||||
\(516\) | 16.4829 | + | 9.50312i | 0.725617 | + | 0.418352i | ||||
\(517\) | −38.3715 | − | 7.63256i | −1.68758 | − | 0.335680i | ||||
\(518\) | −3.69489 | − | 3.54297i | −0.162344 | − | 0.155669i | ||||
\(519\) | 0.0763851 | − | 0.120502i | 0.00335293 | − | 0.00528944i | ||||
\(520\) | 2.45691 | + | 1.42667i | 0.107743 | + | 0.0625637i | ||||
\(521\) | −9.74629 | + | 4.03705i | −0.426993 | + | 0.176866i | −0.585822 | − | 0.810440i | \(-0.699228\pi\) |
0.158829 | + | 0.987306i | \(0.449228\pi\) | |||||||
\(522\) | 1.61671 | + | 1.40727i | 0.0707615 | + | 0.0615947i | ||||
\(523\) | 8.73360 | − | 5.83560i | 0.381894 | − | 0.255173i | −0.349775 | − | 0.936834i | \(-0.613742\pi\) |
0.731669 | + | 0.681661i | \(0.238742\pi\) | |||||||
\(524\) | 16.4671 | + | 22.5367i | 0.719367 | + | 0.984518i | ||||
\(525\) | 9.19445 | − | 0.221454i | 0.401279 | − | 0.00966504i | ||||
\(526\) | −3.55503 | − | 2.26896i | −0.155007 | − | 0.0989312i | ||||
\(527\) | −2.31331 | − | 2.31331i | −0.100769 | − | 0.100769i | ||||
\(528\) | 16.4672 | + | 19.6670i | 0.716642 | + | 0.855897i | ||||
\(529\) | 30.0319 | − | 30.0319i | 1.30574 | − | 1.30574i | ||||
\(530\) | 6.19312 | − | 1.36759i | 0.269012 | − | 0.0594041i | ||||
\(531\) | −4.78343 | + | 32.0429i | −0.207583 | + | 1.39054i | ||||
\(532\) | −37.1089 | − | 22.6026i | −1.60887 | − | 0.979948i | ||||
\(533\) | −3.02986 | − | 4.53450i | −0.131238 | − | 0.196411i | ||||
\(534\) | −25.9421 | + | 6.38743i | −1.12262 | + | 0.276411i | ||||
\(535\) | −2.17950 | − | 5.26178i | −0.0942281 | − | 0.227487i | ||||
\(536\) | 3.12343 | + | 6.37368i | 0.134912 | + | 0.275301i | ||||
\(537\) | −14.4279 | + | 22.7608i | −0.622610 | + | 0.982203i | ||||
\(538\) | −20.7393 | + | 0.435302i | −0.894136 | + | 0.0187672i | ||||
\(539\) | 2.83111 | − | 14.2330i | 0.121945 | − | 0.613057i | ||||
\(540\) | −18.2272 | + | 5.85004i | −0.784376 | + | 0.251746i | ||||
\(541\) | 22.1758 | − | 33.1885i | 0.953413 | − | 1.42688i | 0.0496911 | − | 0.998765i | \(-0.484176\pi\) |
0.903722 | − | 0.428119i | \(-0.140824\pi\) | |||||||
\(542\) | 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 | ||||||||
\(546\) | −1.87112 | − | 3.99766i | −0.0800766 | − | 0.171084i | ||||
\(547\) | −0.839814 | − | 0.561146i | −0.0359079 | − | 0.0239929i | 0.537487 | − | 0.843272i | \(-0.319374\pi\) |
−0.573395 | + | 0.819279i | \(0.694374\pi\) | |||||||
\(548\) | −18.9952 | + | 0.797739i | −0.811434 | + | 0.0340777i | ||||
\(549\) | 0.286095 | − | 0.476321i | 0.0122103 | − | 0.0203289i | ||||
\(550\) | −8.41174 | + | 0.176556i | −0.358678 | + | 0.00752836i | ||||
\(551\) | 3.06863 | + | 1.27107i | 0.130728 | + | 0.0541493i | ||||
\(552\) | −24.8045 | − | 30.9201i | −1.05575 | − | 1.31605i | ||||
\(553\) | −43.1723 | + | 17.8825i | −1.83587 | + | 0.760443i | ||||
\(554\) | −0.560221 | − | 1.27607i | −0.0238015 | − | 0.0542152i | ||||
\(555\) | −3.19570 | + | 1.41479i | −0.135650 | + | 0.0600544i | ||||
\(556\) | −22.1827 | + | 5.38904i | −0.940757 | + | 0.228546i | ||||
\(557\) | −31.2872 | + | 6.22341i | −1.32568 | + | 0.263694i | −0.806634 | − | 0.591052i | \(-0.798713\pi\) |
−0.519047 | + | 0.854746i | \(0.673713\pi\) | |||||||
\(558\) | −11.7619 | − | 1.50426i | −0.497923 | − | 0.0636804i | ||||
\(559\) | 2.11781 | + | 2.11781i | 0.0895738 | + | 0.0895738i | ||||
\(560\) | −23.3977 | + | 6.73557i | −0.988735 | + | 0.284630i | ||||
\(561\) | −4.31932 | − | 6.13899i | −0.182362 | − | 0.259189i | ||||
\(562\) | 16.6742 | + | 10.6421i | 0.703361 | + | 0.448912i | ||||
\(563\) | 0.331921 | − | 0.0660232i | 0.0139888 | − | 0.00278255i | −0.188091 | − | 0.982152i | \(-0.560230\pi\) |
0.202080 | + | 0.979369i | \(0.435230\pi\) | |||||||
\(564\) | 11.7455 | − | 34.6699i | 0.494576 | − | 1.45987i | ||||
\(565\) | −8.60702 | − | 12.8813i | −0.362100 | − | 0.541921i | ||||
\(566\) | −1.46291 | + | 3.75263i | −0.0614905 | + | 0.157735i | ||||
\(567\) | 28.4437 | + | 8.68583i | 1.19452 | + | 0.364771i | ||||
\(568\) | −23.6115 | − | 30.9303i | −0.990715 | − | 1.29781i | ||||
\(569\) | 4.20099 | + | 1.74011i | 0.176115 | + | 0.0729491i | 0.468999 | − | 0.883199i | \(-0.344615\pi\) |
−0.292884 | + | 0.956148i | \(0.594615\pi\) | |||||||
\(570\) | −23.8975 | + | 17.5751i | −1.00096 | + | 0.736141i | ||||
\(571\) | 6.40640 | − | 32.2071i | 0.268099 | − | 1.34783i | −0.578537 | − | 0.815656i | \(-0.696376\pi\) |
0.846637 | − | 0.532171i | \(-0.178624\pi\) | |||||||
\(572\) | 1.70039 | + | 3.66237i | 0.0710969 | + | 0.153131i | ||||
\(573\) | 2.37555 | − | 2.49281i | 0.0992400 | − | 0.104139i | ||||
\(574\) | 46.0201 | + | 8.15399i | 1.92084 | + | 0.340341i | ||||
\(575\) | 13.0021 | 0.542226 | ||||||||
\(576\) | −20.2473 | + | 12.8860i | −0.843635 | + | 0.536916i | ||||
\(577\) | −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 | ||||
\(579\) | −14.3368 | + | 15.0444i | −0.595815 | + | 0.625225i | ||||
\(580\) | 1.68814 | − | 0.783780i | 0.0700961 | − | 0.0325447i | ||||
\(581\) | −5.84640 | + | 29.3918i | −0.242550 | + | 1.21938i | ||||
\(582\) | −29.8736 | + | 21.9701i | −1.23830 | + | 0.910691i | ||||
\(583\) | 8.32777 | + | 3.44947i | 0.344901 | + | 0.142863i | ||||
\(584\) | 26.2181 | + | 3.51815i | 1.08491 | + | 0.145582i | ||||
\(585\) | −3.00994 | + | 0.145077i | −0.124446 | + | 0.00599818i | ||||
\(586\) | 14.9295 | − | 38.2971i | 0.616733 | − | 1.58204i | ||||
\(587\) | −6.76560 | − | 10.1254i | −0.279246 | − | 0.417922i | 0.665161 | − | 0.746700i | \(-0.268363\pi\) |
−0.944407 | + | 0.328779i | \(0.893363\pi\) | |||||||
\(588\) | 12.8600 | + | 4.35672i | 0.530336 | + | 0.179668i | ||||
\(589\) | −18.0219 | + | 3.58478i | −0.742580 | + | 0.147708i | ||||
\(590\) | 23.7143 | + | 15.1354i | 0.976301 | + | 0.623113i | ||||
\(591\) | 2.56062 | + | 3.63937i | 0.105330 | + | 0.149704i | ||||
\(592\) | −3.42623 | + | 2.73118i | −0.140817 | + | 0.112251i | ||||
\(593\) | −13.3642 | − | 13.3642i | −0.548802 | − | 0.548802i | 0.377292 | − | 0.926094i | \(-0.376855\pi\) |
−0.926094 | + | 0.377292i | \(0.876855\pi\) | |||||||
\(594\) | −25.9958 | − | 8.02636i | −1.06662 | − | 0.329325i | ||||
\(595\) | 6.98810 | − | 1.39002i | 0.286484 | − | 0.0569853i | ||||
\(596\) | 4.09288 | + | 16.8474i | 0.167651 | + | 0.690096i | ||||
\(597\) | −1.78075 | + | 0.788364i | −0.0728811 | + | 0.0322656i | ||||
\(598\) | −2.50839 | − | 5.71361i | −0.102576 | − | 0.233647i | ||||
\(599\) | −6.94122 | + | 2.87515i | −0.283610 | + | 0.117475i | −0.519954 | − | 0.854194i | \(-0.674051\pi\) |
0.236344 | + | 0.971670i | \(0.424051\pi\) | |||||||
\(600\) | 0.858794 | − | 7.82516i | 0.0350601 | − | 0.319461i | ||||
\(601\) | 32.8120 | + | 13.5912i | 1.33843 | + | 0.554395i | 0.933048 | − | 0.359753i | \(-0.117139\pi\) |
0.405381 | + | 0.914148i | \(0.367139\pi\) | |||||||
\(602\) | −25.6615 | + | 0.538615i | −1.04589 | + | 0.0219523i | ||||
\(603\) | −6.45375 | − | 3.87635i | −0.262817 | − | 0.157857i | ||||
\(604\) | −0.351098 | − | 8.36009i | −0.0142860 | − | 0.340167i | ||||
\(605\) | 4.14679 | + | 2.77079i | 0.168591 | + | 0.112649i | ||||
\(606\) | 4.45171 | + | 9.51110i | 0.180838 | + | 0.386362i | ||||
\(607\) | 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 | ||||
\(612\) | 6.22032 | − | 3.26080i | 0.251442 | − | 0.131810i | ||||
\(613\) | −4.92328 | + | 24.7510i | −0.198849 | + | 0.999683i | 0.744434 | + | 0.667696i | \(0.232719\pi\) |
−0.943284 | + | 0.331987i | \(0.892281\pi\) | |||||||
\(614\) | 20.7828 | − | 0.436214i | 0.838724 | − | 0.0176042i | ||||
\(615\) | 17.0832 | − | 26.9497i | 0.688861 | − | 1.08672i | ||||
\(616\) | −32.7398 | − | 11.2047i | −1.31913 | − | 0.451451i | ||||
\(617\) | 4.75928 | + | 11.4899i | 0.191602 | + | 0.462567i | 0.990262 | − | 0.139215i | \(-0.0444578\pi\) |
−0.798661 | + | 0.601782i | \(0.794458\pi\) | |||||||
\(618\) | −19.5422 | + | 4.81166i | −0.786104 | + | 0.193553i | ||||
\(619\) | −1.24045 | − | 1.85647i | −0.0498579 | − | 0.0746176i | 0.805703 | − | 0.592319i | \(-0.201788\pi\) |
−0.855561 | + | 0.517702i | \(0.826788\pi\) | |||||||
\(620\) | −5.35622 | + | 8.79381i | −0.215111 | + | 0.353168i | ||||
\(621\) | 39.9040 | + | 13.2440i | 1.60129 | + | 0.531462i | ||||
\(622\) | 7.07215 | − | 1.56170i | 0.283567 | − | 0.0626183i | ||||
\(623\) | 25.4858 | − | 25.4858i | 1.02107 | − | 1.02107i | ||||
\(624\) | −3.60435 | + | 1.13226i | −0.144289 | + | 0.0453265i | ||||
\(625\) | −10.1706 | − | 10.1706i | −0.406824 | − | 0.406824i | ||||
\(626\) | 2.34360 | + | 1.49578i | 0.0936693 | + | 0.0597833i | ||||
\(627\) | −42.1478 | + | 1.01516i | −1.68322 | + | 0.0405414i | ||||
\(628\) | 16.7301 | − | 12.2243i | 0.667604 | − | 0.487805i | ||||
\(629\) | 1.06611 | − | 0.712352i | 0.0425086 | − | 0.0284033i | ||||
\(630\) | 16.9556 | − | 19.4790i | 0.675528 | − | 0.776062i | ||||
\(631\) | −3.29336 | + | 1.36415i | −0.131106 | + | 0.0543061i | −0.447272 | − | 0.894398i | \(-0.647604\pi\) |
0.316166 | + | 0.948704i | \(0.397604\pi\) | |||||||
\(632\) | 10.2558 | + | 38.6601i | 0.407953 | + | 1.53782i | ||||
\(633\) | −13.3341 | + | 21.0353i | −0.529984 | + | 0.836080i | ||||
\(634\) | −11.7204 | − | 11.2385i | −0.465476 | − | 0.446338i | ||||
\(635\) | −39.8920 | − | 7.93501i | −1.58306 | − | 0.314891i | ||||
\(636\) | −4.21251 | + | 7.30645i | −0.167037 | + | 0.289720i | ||||
\(637\) | 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 | \(-0.0365560\pi\) | |||||||
\(642\) | 7.12043 | + | 2.58007i | 0.281021 | + | 0.101827i | ||||
\(643\) | 20.9923 | − | 31.4171i | 0.827854 | − | 1.23897i | −0.140672 | − | 0.990056i | \(-0.544926\pi\) |
0.968525 | − | 0.248915i | \(-0.0800738\pi\) | |||||||
\(644\) | 50.2207 | + | 18.3733i | 1.97897 | + | 0.724011i | ||||
\(645\) | −6.31416 | + | 16.3463i | −0.248620 | + | 0.643636i | ||||
\(646\) | 7.53245 | − | 7.85543i | 0.296360 | − | 0.309068i | ||||
\(647\) | −6.78354 | + | 16.3769i | −0.266688 | + | 0.643843i | −0.999323 | − | 0.0367789i | \(-0.988290\pi\) |
0.732635 | + | 0.680622i | \(0.238290\pi\) | |||||||
\(648\) | 10.6064 | − | 23.1410i | 0.416659 | − | 0.909063i | ||||
\(649\) | 15.3009 | + | 36.9395i | 0.600611 | + | 1.45000i | ||||
\(650\) | 0.450095 | − | 1.15458i | 0.0176542 | − | 0.0452863i | ||||
\(651\) | 14.6273 | − | 6.47575i | 0.573290 | − | 0.253805i | ||||
\(652\) | −0.854887 | − | 1.16999i | −0.0334799 | − | 0.0458203i | ||||
\(653\) | −1.38945 | − | 6.98522i | −0.0543733 | − | 0.273353i | 0.944029 | − | 0.329863i | \(-0.107003\pi\) |
−0.998402 | + | 0.0565103i | \(0.982003\pi\) | |||||||
\(654\) | 4.82010 | − | 5.27539i | 0.188481 | − | 0.206284i | ||||
\(655\) | −18.1778 | + | 18.1778i | −0.710264 | + | 0.710264i | ||||
\(656\) | 12.1560 | − | 38.1121i | 0.474614 | − | 1.48803i | ||||
\(657\) | −25.3749 | + | 11.9727i | −0.989971 | + | 0.467101i | ||||
\(658\) | 10.6483 | + | 48.2209i | 0.415114 | + | 1.87985i | ||||
\(659\) | −4.43616 | − | 22.3021i | −0.172808 | − | 0.868765i | −0.965751 | − | 0.259469i | \(-0.916452\pi\) |
0.792943 | − | 0.609296i | \(-0.208548\pi\) | |||||||
\(660\) | −15.5662 | + | 17.7715i | −0.605913 | + | 0.691753i | ||||
\(661\) | −19.0702 | + | 12.7423i | −0.741745 | + | 0.495618i | −0.868114 | − | 0.496365i | \(-0.834668\pi\) |
0.126369 | + | 0.991983i | \(0.459668\pi\) | |||||||
\(662\) | 19.2199 | + | 43.7792i | 0.747003 | + | 1.70153i | ||||
\(663\) | 1.07882 | − | 0.241732i | 0.0418978 | − | 0.00938811i | ||||
\(664\) | 24.2685 | + | 8.30554i | 0.941802 | + | 0.322318i | ||||
\(665\) | 15.3145 | − | 36.9725i | 0.593871 | − | 1.43373i | ||||
\(666\) | 1.47757 | − | 4.40624i | 0.0572546 | − | 0.170738i | ||||
\(667\) | −4.00929 | − | 0.797498i | −0.155240 | − | 0.0308792i | ||||
\(668\) | −5.01680 | − | 4.61240i | −0.194106 | − | 0.178459i | ||||
\(669\) | −20.3163 | + | 21.3191i | −0.785473 | + | 0.824244i | ||||
\(670\) | −5.35812 | + | 3.74517i | −0.207002 | + | 0.144689i | ||||
\(671\) | − | 0.685723i | − | 0.0264720i | ||||||
\(672\) | 14.3749 | − | 29.0111i | 0.554522 | − | 1.11913i | ||||
\(673\) | − | 23.4212i | − | 0.902821i | −0.892316 | − | 0.451410i | \(-0.850921\pi\) | ||
0.892316 | − | 0.451410i | \(-0.149079\pi\) | |||||||
\(674\) | 2.95880 | + | 4.23309i | 0.113969 | + | 0.163052i | ||||
\(675\) | 3.74375 | + | 7.46333i | 0.144097 | + | 0.287264i | ||||
\(676\) | 25.3829 | − | 1.06600i | 0.976266 | − | 0.0410001i | ||||
\(677\) | −8.49094 | − | 1.68895i | −0.326333 | − | 0.0649117i | 0.0292050 | − | 0.999573i | \(-0.490702\pi\) |
−0.355538 | + | 0.934662i | \(0.615702\pi\) | |||||||
\(678\) | 20.3658 | + | 3.10471i | 0.782144 | + | 0.119236i | ||||
\(679\) | 19.1442 | − | 46.2182i | 0.734687 | − | 1.77369i | ||||
\(680\) | −0.383701 | − | 6.08647i | −0.0147143 | − | 0.233406i | ||||
\(681\) | −6.33875 | − | 28.2890i | −0.242901 | − | 1.08404i | ||||
\(682\) | −13.3995 | + | 5.88262i | −0.513092 | + | 0.225257i | ||||
\(683\) | −1.10592 | + | 0.738953i | −0.0423169 | + | 0.0282753i | −0.576549 | − | 0.817063i | \(-0.695601\pi\) |
0.534232 | + | 0.845338i | \(0.320601\pi\) | |||||||
\(684\) | 4.18199 | − | 39.2246i | 0.159902 | − | 1.49979i | ||||
\(685\) | −3.41610 | − | 17.1739i | −0.130522 | − | 0.656181i | ||||
\(686\) | 14.0568 | − | 3.10407i | 0.536691 | − | 0.118514i | ||||
\(687\) | −8.83635 | − | 12.5590i | −0.337128 | − | 0.479156i | ||||
\(688\) | −2.46428 | + | 21.8308i | −0.0939500 | + | 0.832293i | ||||
\(689\) | −0.938774 | + | 0.938774i | −0.0357644 | + | 0.0357644i | ||||
\(690\) | 24.6265 | − | 26.9526i | 0.937516 | − | 1.02607i | ||||
\(691\) | 5.02517 | + | 25.2633i | 0.191167 | + | 0.961059i | 0.950587 | + | 0.310459i | \(0.100483\pi\) |
−0.759420 | + | 0.650600i | \(0.774517\pi\) | |||||||
\(692\) | 0.162785 | + | 0.0253318i | 0.00618814 | + | 0.000962971i | ||||
\(693\) | 35.6115 | − | 8.88519i | 1.35277 | − | 0.337520i | ||||
\(694\) | 40.3092 | + | 15.7139i | 1.53012 | + | 0.596493i | ||||
\(695\) | −8.04591 | − | 19.4245i | −0.305199 | − | 0.736815i | ||||
\(696\) | −0.744780 | + | 2.36027i | −0.0282308 | + | 0.0894658i | ||||
\(697\) | −4.47986 | + | 10.8153i | −0.169687 | + | 0.409660i | ||||
\(698\) | −11.6013 | − | 11.1243i | −0.439116 | − | 0.421061i | ||||
\(699\) | −19.4722 | − | 7.52159i | −0.736504 | − | 0.284493i | ||||
\(700\) | 4.47218 | + | 9.63235i | 0.169032 | + | 0.364069i | ||||
\(701\) | −8.51430 | + | 12.7425i | −0.321581 | + | 0.481279i | −0.956676 | − | 0.291154i | \(-0.905961\pi\) |
0.635096 | + | 0.772434i | \(0.280961\pi\) | |||||||
\(702\) | 2.55742 | − | 3.08498i | 0.0965235 | − | 0.116435i | ||||
\(703\) | − | 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 | ||||
\(708\) | −36.1294 | + | 9.70422i | −1.35783 | + | 0.364707i | ||||
\(709\) | −15.1060 | − | 3.00477i | −0.567317 | − | 0.112846i | −0.0969055 | − | 0.995294i | \(-0.530894\pi\) |
−0.470411 | + | 0.882447i | \(0.655894\pi\) | |||||||
\(710\) | 24.8048 | − | 25.8684i | 0.930906 | − | 0.970822i | ||||
\(711\) | −31.4074 | − | 28.5190i | −1.17787 | − | 1.06955i | ||||
\(712\) | −18.7193 | − | 24.5217i | −0.701534 | − | 0.918989i | ||||
\(713\) | 20.8933 | − | 8.65430i | 0.782461 | − | 0.324106i | ||||
\(714\) | −4.90357 | + | 8.10702i | −0.183511 | + | 0.303397i | ||||
\(715\) | −3.09219 | + | 2.06613i | −0.115641 | + | 0.0772690i | ||||
\(716\) | −30.7474 | − | 4.78477i | −1.14908 | − | 0.178815i | ||||
\(717\) | 0.753349 | + | 31.2780i | 0.0281343 | + | 1.16810i | ||||
\(718\) | −14.8874 | + | 23.3258i | −0.555594 | + | 0.870512i | ||||
\(719\) | 10.7173 | + | 10.7173i | 0.399686 | + | 0.399686i | 0.878122 | − | 0.478436i | \(-0.158796\pi\) |
−0.478436 | + | 0.878122i | \(0.658796\pi\) | |||||||
\(720\) | −14.5945 | − | 16.6014i | −0.543906 | − | 0.618698i | ||||
\(721\) | 19.1985 | − | 19.1985i | 0.714990 | − | 0.714990i | ||||
\(722\) | −7.38692 | − | 33.4517i | −0.274913 | − | 1.24494i | ||||
\(723\) | 2.74308 | − | 0.0660688i | 0.102016 | − | 0.00245713i | ||||
\(724\) | −7.73248 | − | 31.8289i | −0.287375 | − | 1.18291i | ||||
\(725\) | −0.451018 | − | 0.674997i | −0.0167504 | − | 0.0250687i | ||||
\(726\) | −6.43964 | + | 1.58556i | −0.238997 | + | 0.0588456i | ||||
\(727\) | −1.37029 | − | 3.30817i | −0.0508212 | − | 0.122693i | 0.896430 | − | 0.443185i | \(-0.146152\pi\) |
−0.947251 | + | 0.320492i | \(0.896152\pi\) | |||||||
\(728\) | 3.37003 | − | 3.82353i | 0.124902 | − | 0.141709i | ||||
\(729\) | 3.88755 | + | 26.7187i | 0.143983 | + | 0.989580i | ||||
\(730\) | 0.511263 | + | 24.3584i | 0.0189227 | + | 0.901545i | ||||
\(731\) | 1.25424 | − | 6.30547i | 0.0463896 | − | 0.233216i | ||||
\(732\) | 0.636156 | + | 0.0833611i | 0.0235130 | + | 0.00308111i | ||||
\(733\) | −4.88457 | + | 7.31028i | −0.180416 | + | 0.270011i | −0.910644 | − | 0.413192i | \(-0.864414\pi\) |
0.730228 | + | 0.683204i | \(0.239414\pi\) | |||||||
\(734\) | −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 | ||||||||
\(738\) | 11.1333 | + | 40.9438i | 0.409822 | + | 1.50716i | ||||
\(739\) | 26.6757 | + | 17.8242i | 0.981283 | + | 0.655673i | 0.939174 | − | 0.343441i | \(-0.111592\pi\) |
0.0421088 | + | 0.999113i | \(0.486592\pi\) | |||||||
\(740\) | −2.97077 | − | 2.73130i | −0.109208 | − | 0.100405i | ||||
\(741\) | 2.23749 | − | 5.79248i | 0.0821961 | − | 0.212792i | ||||
\(742\) | −0.238755 | − | 11.3751i | −0.00876498 | − | 0.417595i | ||||
\(743\) | 40.3779 | + | 16.7251i | 1.48132 | + | 0.613583i | 0.969408 | − | 0.245455i | \(-0.0789374\pi\) |
0.511912 | + | 0.859038i | \(0.328937\pi\) | |||||||
\(744\) | −3.82847 | − | 13.1460i | −0.140359 | − | 0.481956i | ||||
\(745\) | −14.7526 | + | 6.11073i | −0.540493 | + | 0.223880i | ||||
\(746\) | 8.39916 | − | 3.68739i | 0.307515 | − | 0.135005i | ||||
\(747\) | −26.3971 | + | 6.58618i | −0.965821 | + | 0.240976i | ||||
\(748\) | 4.50875 | − | 7.40244i | 0.164856 | − | 0.270660i | ||||
\(749\) | −10.0207 | + | 1.99323i | −0.366147 | + | 0.0728312i | ||||
\(750\) | 29.7804 | − | 1.34302i | 1.08743 | − | 0.0490403i | ||||
\(751\) | 25.3960 | + | 25.3960i | 0.926712 | + | 0.926712i | 0.997492 | − | 0.0707803i | \(-0.0225489\pi\) |
−0.0707803 | + | 0.997492i | \(0.522549\pi\) | |||||||
\(752\) | 42.1195 | − | 3.54403i | 1.53594 | − | 0.129238i | ||||
\(753\) | −7.15531 | + | 5.03438i | −0.260754 | + | 0.183463i | ||||
\(754\) | −0.209607 | + | 0.328415i | −0.00763345 | + | 0.0119602i | ||||
\(755\) | 7.55851 | − | 1.50348i | 0.275082 | − | 0.0547173i | ||||
\(756\) | 3.91376 | + | 34.1174i | 0.142342 | + | 1.24084i | ||||
\(757\) | 3.36700 | + | 5.03906i | 0.122376 | + | 0.183148i | 0.887599 | − | 0.460617i | \(-0.152372\pi\) |
−0.765224 | + | 0.643764i | \(0.777372\pi\) | |||||||
\(758\) | −2.67063 | − | 1.04110i | −0.0970015 | − | 0.0378146i | ||||
\(759\) | 50.6324 | − | 11.3453i | 1.83784 | − | 0.411807i | ||||
\(760\) | −29.6216 | − | 17.2006i | −1.07449 | − | 0.623931i | ||||
\(761\) | 2.07072 | + | 0.857719i | 0.0750635 | + | 0.0310923i | 0.419899 | − | 0.907571i | \(-0.362065\pi\) |
−0.344836 | + | 0.938663i | \(0.612065\pi\) | |||||||
\(762\) | 43.5718 | − | 32.0444i | 1.57844 | − | 1.16084i | ||||
\(763\) | −1.88069 | + | 9.45486i | −0.0680855 | + | 0.342289i | ||||
\(764\) | 3.73410 | + | 1.36613i | 0.135095 | + | 0.0494248i | ||||
\(765\) | 3.84847 | + | 5.19911i | 0.139142 | + | 0.187974i | ||||
\(766\) | −5.94797 | + | 33.5696i | −0.214909 | + | 1.21292i | ||||
\(767\) | −5.88896 | −0.212638 | ||||||||
\(768\) | −22.9747 | − | 15.4972i | −0.829028 | − | 0.559206i | ||||
\(769\) | 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 | ||||
\(771\) | −26.7530 | − | 25.4946i | −0.963487 | − | 0.918166i | ||||
\(772\) | −22.5358 | − | 8.24476i | −0.811080 | − | 0.296735i | ||||
\(773\) | −3.37161 | + | 16.9502i | −0.121268 | + | 0.609658i | 0.871578 | + | 0.490257i | \(0.163097\pi\) |
−0.992846 | + | 0.119400i | \(0.961903\pi\) | |||||||
\(774\) | −10.3835 | − | 20.8608i | −0.373227 | − | 0.749826i | ||||
\(775\) | 4.14924 | + | 1.71867i | 0.149045 | + | 0.0617365i | ||||
\(776\) | −37.0291 | − | 21.5019i | −1.32927 | − | 0.771875i | ||||
\(777\) | 1.37084 | + | 6.11785i | 0.0491784 | + | 0.219477i | ||||
\(778\) | −48.6499 | − | 18.9655i | −1.74418 | − | 0.679944i | ||||
\(779\) | 36.5293 | + | 54.6700i | 1.30880 | + | 1.95875i | ||||
\(780\) | −1.54088 | − | 3.11984i | −0.0551722 | − | 0.111708i | ||||
\(781\) | 49.9571 | − | 9.93709i | 1.78761 | − | 0.355577i | ||||
\(782\) | −7.20621 | + | 11.2908i | −0.257694 | + | 0.403757i | ||||
\(783\) | −0.696641 | − | 2.53100i | −0.0248959 | − | 0.0904505i | ||||
\(784\) | 1.31457 | + | 15.6232i | 0.0469490 | + | 0.557972i | ||||
\(785\) | 13.4943 | + | 13.4943i | 0.481632 | + | 0.481632i | ||||
\(786\) | −1.54009 | − | 34.1500i | −0.0549330 | − | 1.21809i | ||||
\(787\) | 6.03809 | − | 1.20105i | 0.215235 | − | 0.0428128i | −0.0862951 | − | 0.996270i | \(-0.527503\pi\) |
0.301530 | + | 0.953457i | \(0.402503\pi\) | |||||||
\(788\) | −2.67292 | + | 4.38838i | −0.0952187 | + | 0.156330i | ||||
\(789\) | 2.09098 | + | 4.72307i | 0.0744408 | + | 0.168146i | ||||
\(790\) | −33.7308 | + | 14.8085i | −1.20009 | + | 0.526863i | ||||
\(791\) | −25.6764 | + | 10.6355i | −0.912947 | + | 0.378155i | ||||
\(792\) | −3.48373 | − | 31.2218i | −0.123789 | − | 1.10942i | ||||
\(793\) | 0.0933098 | + | 0.0386502i | 0.00331353 | + | 0.00137251i | ||||
\(794\) | −0.912983 | − | 43.4977i | −0.0324005 | − | 1.54368i | ||||
\(795\) | −7.24593 | − | 2.79892i | −0.256987 | − | 0.0992674i | ||||
\(796\) | −1.65541 | − | 1.52197i | −0.0586744 | − | 0.0539447i | ||||
\(797\) | −7.45915 | − | 4.98405i | −0.264217 | − | 0.176544i | 0.416404 | − | 0.909179i | \(-0.363290\pi\) |
−0.680621 | + | 0.732635i | \(0.738290\pi\) | |||||||
\(798\) | 22.5591 | + | 48.1976i | 0.798583 | + | 1.70618i | ||||
\(799\) | −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 | ||||
\(804\) | 1.12947 | − | 8.61938i | 0.0398334 | − | 0.303982i | ||||
\(805\) | −9.60869 | + | 48.3061i | −0.338662 | + | 1.70257i | ||||
\(806\) | −0.0452296 | − | 2.15490i | −0.00159315 | − | 0.0759031i | ||||
\(807\) | 21.4580 | + | 13.6021i | 0.755359 | + | 0.478815i | ||||
\(808\) | −8.01787 | + | 9.09681i | −0.282068 | + | 0.320025i | ||||
\(809\) | 9.87605 | + | 23.8429i | 0.347224 | + | 0.838272i | 0.996946 | + | 0.0781000i | \(0.0248853\pi\) |
−0.649722 | + | 0.760172i | \(0.725115\pi\) | |||||||
\(810\) | 22.5619 | + | 6.37529i | 0.792744 | + | 0.224005i | ||||
\(811\) | −9.69074 | − | 14.5032i | −0.340288 | − | 0.509277i | 0.621374 | − | 0.783514i | \(-0.286575\pi\) |
−0.961662 | + | 0.274237i | \(0.911575\pi\) | |||||||
\(812\) | −0.788217 | − | 3.24451i | −0.0276610 | − | 0.113860i | ||||
\(813\) | −0.881612 | − | 36.6033i | −0.0309195 | − | 1.28373i | ||||
\(814\) | −1.23672 | − | 5.60051i | −0.0433472 | − | 0.196298i | ||||
\(815\) | 0.943697 | − | 0.943697i | 0.0330563 | − | 0.0330563i | ||||
\(816\) | 6.31925 | + | 5.08273i | 0.221218 | + | 0.177931i | ||||
\(817\) | −25.5333 | − | 25.5333i | −0.893295 | − | 0.893295i | ||||
\(818\) | −21.0328 | + | 32.9544i | −0.735393 | + | 1.15222i | ||||
\(819\) | −0.798156 | + | 5.34663i | −0.0278898 | + | 0.186827i | ||||
\(820\) | 36.4061 | + | 5.66535i | 1.27136 | + | 0.197843i | ||||
\(821\) | −9.95404 | + | 6.65108i | −0.347398 | + | 0.232124i | −0.717011 | − | 0.697062i | \(-0.754490\pi\) |
0.369613 | + | 0.929186i | \(0.379490\pi\) | |||||||
\(822\) | 19.9237 | + | 12.0510i | 0.694919 | + | 0.420325i | ||||
\(823\) | −25.2779 | + | 10.4704i | −0.881131 | + | 0.364976i | −0.776935 | − | 0.629581i | \(-0.783227\pi\) |
−0.104195 | + | 0.994557i | \(0.533227\pi\) | |||||||
\(824\) | −14.1012 | − | 18.4722i | −0.491240 | − | 0.643510i | ||||
\(825\) | 8.70325 | + | 5.51691i | 0.303008 | + | 0.192074i | ||||
\(826\) | 34.9295 | − | 36.4272i | 1.21535 | − | 1.26746i | ||||
\(827\) | −41.4125 | − | 8.23747i | −1.44006 | − | 0.286445i | −0.587560 | − | 0.809180i | \(-0.699912\pi\) |
−0.852495 | + | 0.522735i | \(0.824912\pi\) | |||||||
\(828\) | 4.36997 | + | 48.3516i | 0.151867 | + | 1.68034i | ||||
\(829\) | 13.6752 | + | 9.13744i | 0.474958 | + | 0.317357i | 0.769907 | − | 0.638156i | \(-0.220303\pi\) |
−0.294949 | + | 0.955513i | \(0.595303\pi\) | |||||||
\(830\) | −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 | ||||||
\(834\) | 26.2860 | + | 9.52466i | 0.910210 | + | 0.329812i | ||||
\(835\) | 3.48711 | − | 5.21883i | 0.120676 | − | 0.180605i | ||||
\(836\) | −20.5007 | − | 44.1552i | −0.709031 | − | 1.52714i | ||||
\(837\) | 10.9835 | + | 9.50110i | 0.379647 | + | 0.328406i | ||||
\(838\) | 19.6126 | + | 18.8062i | 0.677504 | + | 0.649649i | ||||
\(839\) | 17.8164 | − | 43.0125i | 0.615090 | − | 1.48496i | −0.242254 | − | 0.970213i | \(-0.577887\pi\) |
0.857343 | − | 0.514745i | \(-0.172113\pi\) | |||||||
\(840\) | 28.4378 | + | 8.97351i | 0.981198 | + | 0.309615i | ||||
\(841\) | −11.0001 | − | 26.5567i | −0.379315 | − | 0.915748i | ||||
\(842\) | −29.7051 | − | 11.5801i | −1.02371 | − | 0.399076i | ||||
\(843\) | −9.80737 | − | 22.1527i | −0.337784 | − | 0.762981i | ||||
\(844\) | −28.4164 | − | 4.42203i | −0.978133 | − | 0.152213i | ||||
\(845\) | 4.56487 | + | 22.9491i | 0.157036 | + | 0.789475i | ||||
\(846\) | −35.4668 | + | 27.4236i | −1.21937 | + | 0.942842i | ||||
\(847\) | 6.32638 | − | 6.32638i | 0.217377 | − | 0.217377i | ||||
\(848\) | −9.67709 | − | 1.09236i | −0.332313 | − | 0.0375117i | ||||
\(849\) | 4.03438 | − | 2.83854i | 0.138459 | − | 0.0974183i | ||||
\(850\) | −2.59745 | + | 0.573578i | −0.0890918 | + | 0.0196736i | ||||
\(851\) | 1.72916 | + | 8.69306i | 0.0592747 | + | 0.297994i | ||||
\(852\) | 3.14567 | + | 47.5540i | 0.107769 | + | 1.62917i | ||||
\(853\) | 7.94078 | − | 5.30586i | 0.271887 | − | 0.181669i | −0.412151 | − | 0.911116i | \(-0.635222\pi\) |
0.684038 | + | 0.729447i | \(0.260222\pi\) | |||||||
\(854\) | −0.792530 | + | 0.347936i | −0.0271198 | + | 0.0119061i | ||||
\(855\) | 36.2892 | − | 1.74911i | 1.24106 | − | 0.0598183i | ||||
\(856\) | 0.550212 | + | 8.72776i | 0.0188059 | + | 0.298309i | ||||
\(857\) | 18.5434 | − | 44.7677i | 0.633430 | − | 1.52923i | −0.201854 | − | 0.979416i | \(-0.564697\pi\) |
0.835284 | − | 0.549819i | \(-0.185303\pi\) | |||||||
\(858\) | 0.745293 | − | 4.88886i | 0.0254439 | − | 0.166903i | ||||
\(859\) | −18.8663 | − | 3.75274i | −0.643709 | − | 0.128042i | −0.137568 | − | 0.990492i | \(-0.543929\pi\) |
−0.506141 | + | 0.862451i | \(0.668929\pi\) | |||||||
\(860\) | −20.2165 | + | 0.849030i | −0.689377 | + | 0.0289517i | ||||
\(861\) | −41.4382 | − | 39.4890i | −1.41221 | − | 1.34578i | ||||
\(862\) | 12.4447 | + | 17.8043i | 0.423869 | + | 0.606418i | ||||
\(863\) | − | 3.38582i | − | 0.115255i | −0.998338 | − | 0.0576274i | \(-0.981646\pi\) | ||
0.998338 | − | 0.0576274i | \(-0.0183535\pi\) | |||||||
\(864\) | 29.3885 | + | 0.563625i | 0.999816 | + | 0.0191749i | ||||
\(865\) | 0.151732i | 0.00515905i | ||||||||
\(866\) | 9.89048 | − | 6.91316i | 0.336092 | − | 0.234919i | ||||
\(867\) | 19.5980 | + | 18.6761i | 0.665582 | + | 0.634274i | ||||
\(868\) | 13.5978 | + | 12.5017i | 0.461539 | + | 0.424335i | ||||
\(869\) | −51.3498 | − | 10.2141i | −1.74192 | − | 0.346490i | ||||
\(870\) | −2.25348 | − | 0.343536i | −0.0764000 | − | 0.0116470i | ||||
\(871\) | 0.523677 | − | 1.26427i | 0.0177441 | − | 0.0428381i | ||||
\(872\) | 7.80678 | + | 2.67176i | 0.264371 | + | 0.0904771i | ||||
\(873\) | 45.3640 | − | 2.18651i | 1.53534 | − | 0.0740021i | ||||
\(874\) | 30.2422 | + | 68.8859i | 1.02296 | + | 2.33010i | ||||
\(875\) | −33.4384 | + | 22.3428i | −1.13043 | + | 0.755326i | ||||
\(876\) | −24.3712 | − | 21.3469i | −0.823425 | − | 0.721246i | ||||
\(877\) | 7.86570 | + | 39.5435i | 0.265606 | + | 1.33529i | 0.851266 | + | 0.524734i | \(0.175835\pi\) |
−0.585660 | + | 0.810557i | \(0.699165\pi\) | |||||||
\(878\) | −4.06403 | − | 18.4040i | −0.137154 | − | 0.621104i | ||||
\(879\) | −41.1724 | + | 28.9684i | −1.38871 | + | 0.977079i | ||||
\(880\) | −25.9896 | − | 8.28951i | −0.876109 | − | 0.279439i | ||||
\(881\) | −5.13574 | + | 5.13574i | −0.173028 | + | 0.173028i | −0.788308 | − | 0.615281i | \(-0.789043\pi\) |
0.615281 | + | 0.788308i | \(0.289043\pi\) | |||||||
\(882\) | −10.1721 | − | 13.1555i | −0.342513 | − | 0.442969i | ||||
\(883\) | −1.53900 | − | 7.73710i | −0.0517916 | − | 0.260374i | 0.946211 | − | 0.323551i | \(-0.104877\pi\) |
−0.998002 | + | 0.0631770i | \(0.979877\pi\) | |||||||
\(884\) | 0.753155 | + | 1.03076i | 0.0253314 | + | 0.0346682i | ||||
\(885\) | −13.9481 | − | 31.5058i | −0.468862 | − | 1.05906i | ||||
\(886\) | 20.6613 | − | 53.0000i | 0.694128 | − | 1.78057i | ||||
\(887\) | −15.1105 | − | 36.4799i | −0.507360 | − | 1.22488i | −0.945397 | − | 0.325920i | \(-0.894326\pi\) |
0.438037 | − | 0.898957i | \(-0.355674\pi\) | |||||||
\(888\) | 5.34602 | − | 0.466493i | 0.179401 | − | 0.0156545i | ||||
\(889\) | −27.9226 | + | 67.4111i | −0.936494 | + | 2.26090i | ||||
\(890\) | 19.6653 | − | 20.5085i | 0.659183 | − | 0.687447i | ||||
\(891\) | 21.0911 | + | 25.7968i | 0.706577 | + | 0.864224i | ||||
\(892\) | −31.9349 | − | 11.6835i | −1.06926 | − | 0.391191i | ||||
\(893\) | −38.5972 | + | 57.7648i | −1.29161 | + | 1.93303i | ||||
\(894\) | 7.23381 | − | 19.9637i | 0.241935 | − | 0.667688i | ||||
\(895\) | − | 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 | ||||
\(900\) | −6.17615 | + | 7.40346i | −0.205872 | + | 0.246782i | ||||
\(901\) | 2.79506 | + | 0.555973i | 0.0931170 | + | 0.0185221i | ||||
\(902\) | 37.7960 | + | 36.2420i | 1.25847 | + | 1.20673i | ||||
\(903\) | 26.5508 | + | 16.8303i | 0.883556 | + | 0.560079i | ||||
\(904\) | 6.09955 | + | 22.9928i | 0.202868 | + | 0.764730i | ||||
\(905\) | 27.8713 | − | 11.5447i | 0.926475 | − | 0.383758i | ||||
\(906\) | −5.30382 | + | 8.76875i | −0.176208 | + | 0.291322i | ||||
\(907\) | −30.0747 | + | 20.0953i | −0.998614 | + | 0.667252i | −0.943550 | − | 0.331230i | \(-0.892536\pi\) |
−0.0550638 | + | 0.998483i | \(0.517536\pi\) | |||||||
\(908\) | 27.0288 | − | 19.7494i | 0.896982 | − | 0.655406i | ||||
\(909\) | 1.89895 | − | 12.7205i | 0.0629841 | − | 0.421914i | ||||
\(910\) | 3.95693 | + | 2.52546i | 0.131171 | + | 0.0837183i | ||||
\(911\) | 30.1032 | + | 30.1032i | 0.997363 | + | 0.997363i | 0.999997 | − | 0.00263353i | \(-0.000838280\pi\) |
−0.00263353 | + | 0.999997i | \(0.500838\pi\) | |||||||
\(912\) | 43.4556 | − | 13.6510i | 1.43896 | − | 0.452030i | ||||
\(913\) | −23.7418 | + | 23.7418i | −0.785738 | + | 0.785738i | ||||
\(914\) | −10.9686 | + | 2.42213i | −0.362810 | + | 0.0801171i | ||||
\(915\) | 0.0142286 | + | 0.590749i | 0.000470381 | + | 0.0195296i | ||||
\(916\) | 9.22389 | − | 15.1437i | 0.304766 | − | 0.500363i | ||||
\(917\) | 25.6212 | + | 38.3448i | 0.846086 | + | 1.26626i | ||||
\(918\) | −8.55593 | − | 0.885433i | −0.282388 | − | 0.0292236i | ||||
\(919\) | 2.76576 | + | 6.67714i | 0.0912341 | + | 0.220259i | 0.962909 | − | 0.269826i | \(-0.0869660\pi\) |
−0.871675 | + | 0.490084i | \(0.836966\pi\) | |||||||
\(920\) | 39.8859 | + | 13.6503i | 1.31500 | + | 0.450039i | ||||
\(921\) | −21.5030 | − | 13.6306i | −0.708548 | − | 0.449142i | ||||
\(922\) | −30.7079 | + | 0.644533i | −1.01131 | + | 0.0212266i | ||||
\(923\) | −1.46360 | + | 7.35801i | −0.0481750 | + | 0.242192i | ||||
\(924\) | 25.8203 | + | 33.6077i | 0.849426 | + | 1.10561i | ||||
\(925\) | −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 | \(-0.522055\pi\) | ||||
−0.0692317 | + | 0.997601i | \(0.522055\pi\) | |||||||
\(930\) | 11.4215 | − | 5.34591i | 0.374527 | − | 0.175299i | ||||
\(931\) | −21.4264 | − | 14.3167i | −0.702223 | − | 0.469210i | ||||
\(932\) | −1.01139 | − | 24.0824i | −0.0331291 | − | 0.788846i | ||||
\(933\) | −8.27440 | − | 3.19619i | −0.270892 | − | 0.104638i | ||||
\(934\) | −33.2828 | + | 0.698579i | −1.08905 | + | 0.0228582i | ||||
\(935\) | 7.37524 | + | 3.05493i | 0.241196 | + | 0.0999067i | ||||
\(936\) | 4.44487 | + | 1.28574i | 0.145285 | + | 0.0420258i | ||||
\(937\) | −15.9759 | + | 6.61744i | −0.521911 | + | 0.216182i | −0.628056 | − | 0.778168i | \(-0.716149\pi\) |
0.106145 | + | 0.994351i | \(0.466149\pi\) | |||||||
\(938\) | 4.71425 | + | 10.7381i | 0.153926 | + | 0.350612i | ||||
\(939\) | −1.37845 | − | 3.11362i | −0.0449840 | − | 0.101609i | ||||
\(940\) | 9.19029 | + | 37.8297i | 0.299754 | + | 1.23387i | ||||
\(941\) | 15.5482 | − | 3.09272i | 0.506855 | − | 0.100820i | 0.0649626 | − | 0.997888i | \(-0.479307\pi\) |
0.441893 | + | 0.897068i | \(0.354307\pi\) | |||||||
\(942\) | −25.3513 | + | 1.14328i | −0.825991 | + | 0.0372502i | ||||
\(943\) | −57.2206 | − | 57.2206i | −1.86336 | − | 1.86336i | ||||
\(944\) | −26.9262 | − | 33.7786i | −0.876372 | − | 1.09940i | ||||
\(945\) | −30.4948 | + | 8.39350i | −0.991998 | + | 0.273041i | ||||
\(946\) | −24.2411 | − | 15.4716i | −0.788147 | − | 0.503026i | ||||
\(947\) | 18.2131 | − | 3.62281i | 0.591845 | − | 0.117725i | 0.109924 | − | 0.993940i | \(-0.464939\pi\) |
0.481921 | + | 0.876215i | \(0.339939\pi\) | |||||||
\(948\) | 15.7182 | − | 46.3963i | 0.510504 | − | 1.50688i | ||||
\(949\) | −2.83342 | − | 4.24052i | −0.0919768 | − | 0.137653i | ||||
\(950\) | −5.42655 | + | 13.9201i | −0.176061 | + | 0.451628i | ||||
\(951\) | 4.34836 | + | 19.4061i | 0.141005 | + | 0.629287i | ||||
\(952\) | −10.8432 | − | 1.45502i | −0.351429 | − | 0.0471576i | ||||
\(953\) | −48.0723 | − | 19.9122i | −1.55721 | − | 0.645019i | −0.572611 | − | 0.819827i | \(-0.694069\pi\) |
−0.984602 | + | 0.174808i | \(0.944069\pi\) | |||||||
\(954\) | 9.24710 | − | 4.60276i | 0.299386 | − | 0.149020i | ||||
\(955\) | −0.714442 | + | 3.59174i | −0.0231188 | + | 0.116226i | ||||
\(956\) | −32.7676 | + | 15.2136i | −1.05978 | + | 0.492043i | ||||
\(957\) | −2.34532 | − | 2.23500i | −0.0758135 | − | 0.0722474i | ||||
\(958\) | −23.4786 | − | 4.16002i | −0.758559 | − | 0.134404i | ||||
\(959\) | −31.4123 | −1.01436 | ||||||||
\(960\) | 10.8498 | − | 23.1032i | 0.350175 | − | 0.745653i | ||||
\(961\) | −23.1886 | −0.748018 | ||||||||
\(962\) | 0.831796 | + | 0.147380i | 0.0268182 | + | 0.00475174i | ||||
\(963\) | −5.51855 | − | 7.45531i | −0.177833 | − | 0.240244i | ||||
\(964\) | 1.33423 | + | 2.87373i | 0.0429728 | + | 0.0925565i | ||||
\(965\) | 4.31175 | − | 21.6766i | 0.138800 | − | 0.697796i | ||||
\(966\) | −38.8033 | − | 52.7622i | −1.24847 | − | 1.69760i | ||||
\(967\) | 34.7862 | + | 14.4089i | 1.11865 | + | 0.463360i | 0.863908 | − | 0.503650i | \(-0.168010\pi\) |
0.254741 | + | 0.967009i | \(0.418010\pi\) | |||||||
\(968\) | −4.64670 | − | 6.08704i | −0.149351 | − | 0.195645i | ||||
\(969\) | −13.0067 | + | 2.91443i | −0.417836 | + | 0.0936251i | ||||
\(970\) | 14.3241 | − | 36.7440i | 0.459920 | − | 1.17978i | ||||
\(971\) | 19.1965 | + | 28.7296i | 0.616045 | + | 0.921976i | 0.999999 | − | 0.00137607i | \(-0.000438016\pi\) |
−0.383954 | + | 0.923352i | \(0.625438\pi\) | |||||||
\(972\) | −26.4960 | + | 16.4305i | −0.849860 | + | 0.527008i | ||||
\(973\) | −36.9926 | + | 7.35828i | −1.18593 | + | 0.235896i | ||||
\(974\) | 17.1852 | + | 10.9682i | 0.550649 | + | 0.351445i | ||||
\(975\) | −1.24126 | + | 0.873338i | −0.0397523 | + | 0.0279692i | ||||
\(976\) | 0.204947 | + | 0.711937i | 0.00656020 | + | 0.0227885i | ||||
\(977\) | −22.5815 | − | 22.5815i | −0.722445 | − | 0.722445i | 0.246658 | − | 0.969103i | \(-0.420668\pi\) |
−0.969103 | + | 0.246658i | \(0.920668\pi\) | |||||||
\(978\) | 0.0799534 | + | 1.77290i | 0.00255663 | + | 0.0566910i | ||||
\(979\) | 39.6062 | − | 7.87816i | 1.26582 | − | 0.251787i | ||||
\(980\) | −14.0320 | + | 3.40891i | −0.448235 | + | 0.108894i | ||||
\(981\) | −8.49152 | + | 2.11866i | −0.271113 | + | 0.0676438i | ||||
\(982\) | −5.58678 | − | 12.7256i | −0.178281 | − | 0.406090i | ||||
\(983\) | −12.0098 | + | 4.97461i | −0.383053 | + | 0.158666i | −0.565896 | − | 0.824476i | \(-0.691470\pi\) |
0.182844 | + | 0.983142i | \(0.441470\pi\) | |||||||
\(984\) | −38.2170 | + | 30.6581i | −1.21831 | + | 0.977344i | ||||
\(985\) | −4.37225 | − | 1.81105i | −0.139312 | − | 0.0577048i | ||||
\(986\) | 0.836123 | − | 0.0175496i | 0.0266276 | − | 0.000558892i | ||||
\(987\) | 21.7930 | − | 56.4184i | 0.693678 | − | 1.79582i | ||||
\(988\) | 7.16392 | − | 0.300862i | 0.227915 | − | 0.00957170i | ||||
\(989\) | 36.9515 | + | 24.6902i | 1.17499 | + | 0.785104i | ||||
\(990\) | 27.9206 | − | 7.59207i | 0.887374 | − | 0.241292i | ||||
\(991\) | −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 | ||||
\(996\) | −19.1394 | − | 24.9118i | −0.606455 | − | 0.789361i | ||||
\(997\) | 7.72518 | − | 38.8371i | 0.244659 | − | 1.22998i | −0.641689 | − | 0.766965i | \(-0.721766\pi\) |
0.886348 | − | 0.463019i | \(-0.153234\pi\) | |||||||
\(998\) | 27.4261 | − | 0.575652i | 0.868158 | − | 0.0182219i | ||||
\(999\) | −4.49201 | + | 3.49558i | −0.142121 | + | 0.110595i |
(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.59.16 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.59.15 | ✓ | 240 | |
4.3 | odd | 2 | 768.2.s.a.143.23 | 240 | |||
12.11 | even | 2 | 768.2.s.a.143.19 | 240 | |||
64.13 | even | 16 | 768.2.s.a.623.19 | 240 | |||
64.51 | odd | 16 | inner | 192.2.s.a.179.15 | yes | 240 | |
192.77 | odd | 16 | 768.2.s.a.623.23 | 240 | |||
192.179 | even | 16 | inner | 192.2.s.a.179.16 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.59.15 | ✓ | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.59.16 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.179.15 | yes | 240 | 64.51 | odd | 16 | inner | |
192.2.s.a.179.16 | yes | 240 | 192.179 | even | 16 | inner | |
768.2.s.a.143.19 | 240 | 12.11 | even | 2 | |||
768.2.s.a.143.23 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.623.19 | 240 | 64.13 | even | 16 | |||
768.2.s.a.623.23 | 240 | 192.77 | odd | 16 |