Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 727.15 | ||
Character | \(\chi\) | \(=\) | 966.727 |
Dual form | 966.2.s.a.97.15 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | 0.755750 | − | 0.654861i | 0.436332 | − | 0.378084i | ||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | 0.341716 | + | 2.37669i | 0.152820 | + | 1.06289i | 0.911464 | + | 0.411381i | \(0.134953\pi\) |
−0.758643 | + | 0.651506i | \(0.774138\pi\) | |||||||
\(6\) | −0.540641 | + | 0.841254i | −0.220716 | + | 0.343440i | ||||
\(7\) | 1.93632 | − | 1.80296i | 0.731860 | − | 0.681455i | ||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | 0.142315 | − | 0.989821i | 0.0474383 | − | 0.329940i | ||||
\(10\) | −0.997464 | − | 2.18414i | −0.315426 | − | 0.690686i | ||||
\(11\) | 0.692982 | − | 2.36008i | 0.208942 | − | 0.711591i | −0.786616 | − | 0.617442i | \(-0.788169\pi\) |
0.995558 | − | 0.0941488i | \(-0.0300129\pi\) | |||||||
\(12\) | 0.281733 | − | 0.959493i | 0.0813292 | − | 0.276982i | ||||
\(13\) | 3.28973 | − | 1.50237i | 0.912407 | − | 0.416682i | 0.0968103 | − | 0.995303i | \(-0.469136\pi\) |
0.815597 | + | 0.578620i | \(0.196409\pi\) | |||||||
\(14\) | −1.34993 | + | 2.27545i | −0.360785 | + | 0.608140i | ||||
\(15\) | 1.81465 | + | 1.57240i | 0.468541 | + | 0.405993i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −5.60723 | − | 3.60355i | −1.35995 | − | 0.873988i | −0.361655 | − | 0.932312i | \(-0.617788\pi\) |
−0.998298 | + | 0.0583239i | \(0.981424\pi\) | |||||||
\(18\) | 0.142315 | + | 0.989821i | 0.0335439 | + | 0.233303i | ||||
\(19\) | 1.18505 | − | 0.761584i | 0.271869 | − | 0.174719i | −0.397602 | − | 0.917558i | \(-0.630157\pi\) |
0.669470 | + | 0.742839i | \(0.266521\pi\) | |||||||
\(20\) | 1.57240 | + | 1.81465i | 0.351600 | + | 0.405768i | ||||
\(21\) | 0.282685 | − | 2.63061i | 0.0616870 | − | 0.574045i | ||||
\(22\) | 2.45972i | 0.524413i | ||||||||
\(23\) | −2.49619 | − | 4.09500i | −0.520492 | − | 0.853866i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | −0.734408 | + | 0.215642i | −0.146882 | + | 0.0431284i | ||||
\(26\) | −2.73321 | + | 2.36834i | −0.536026 | + | 0.464469i | ||||
\(27\) | −0.540641 | − | 0.841254i | −0.104046 | − | 0.161899i | ||||
\(28\) | 0.654182 | − | 2.56360i | 0.123629 | − | 0.484475i | ||||
\(29\) | 4.18123 | + | 2.68711i | 0.776435 | + | 0.498984i | 0.867849 | − | 0.496829i | \(-0.165502\pi\) |
−0.0914137 | + | 0.995813i | \(0.529139\pi\) | |||||||
\(30\) | −2.18414 | − | 0.997464i | −0.398768 | − | 0.182111i | ||||
\(31\) | 2.24033 | + | 1.94126i | 0.402376 | + | 0.348661i | 0.832418 | − | 0.554148i | \(-0.186956\pi\) |
−0.430042 | + | 0.902809i | \(0.641501\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | −1.02180 | − | 2.23744i | −0.177873 | − | 0.389488i | ||||
\(34\) | 6.39533 | + | 1.87784i | 1.09679 | + | 0.322047i | ||||
\(35\) | 4.94674 | + | 3.98593i | 0.836152 | + | 0.673745i | ||||
\(36\) | −0.415415 | − | 0.909632i | −0.0692358 | − | 0.151605i | ||||
\(37\) | 3.08660 | + | 0.443787i | 0.507435 | + | 0.0729581i | 0.391278 | − | 0.920273i | \(-0.372033\pi\) |
0.116157 | + | 0.993231i | \(0.462942\pi\) | |||||||
\(38\) | −0.922482 | + | 1.06460i | −0.149646 | + | 0.172701i | ||||
\(39\) | 1.50237 | − | 3.28973i | 0.240572 | − | 0.526779i | ||||
\(40\) | −2.01996 | − | 1.29815i | −0.319383 | − | 0.205255i | ||||
\(41\) | −8.12767 | + | 1.16858i | −1.26933 | + | 0.182502i | −0.743874 | − | 0.668320i | \(-0.767014\pi\) |
−0.525454 | + | 0.850822i | \(0.676105\pi\) | |||||||
\(42\) | 0.469893 | + | 2.60369i | 0.0725060 | + | 0.401758i | ||||
\(43\) | 4.24949 | − | 3.68220i | 0.648041 | − | 0.561531i | −0.267599 | − | 0.963530i | \(-0.586230\pi\) |
0.915640 | + | 0.402000i | \(0.131685\pi\) | |||||||
\(44\) | −0.692982 | − | 2.36008i | −0.104471 | − | 0.355796i | ||||
\(45\) | 2.40113 | 0.357939 | ||||||||
\(46\) | 3.54877 | + | 3.22586i | 0.523238 | + | 0.475628i | ||||
\(47\) | 4.45289i | 0.649520i | 0.945796 | + | 0.324760i | \(0.105284\pi\) | ||||
−0.945796 | + | 0.324760i | \(0.894716\pi\) | |||||||
\(48\) | −0.281733 | − | 0.959493i | −0.0406646 | − | 0.138491i | ||||
\(49\) | 0.498671 | − | 6.98222i | 0.0712387 | − | 0.997459i | ||||
\(50\) | 0.643906 | − | 0.413814i | 0.0910621 | − | 0.0585221i | ||||
\(51\) | −6.59748 | + | 0.948574i | −0.923832 | + | 0.132827i | ||||
\(52\) | 1.95526 | − | 3.04244i | 0.271145 | − | 0.421910i | ||||
\(53\) | 7.96008 | + | 3.63525i | 1.09340 | + | 0.499340i | 0.878717 | − | 0.477344i | \(-0.158400\pi\) |
0.214685 | + | 0.976683i | \(0.431128\pi\) | |||||||
\(54\) | 0.755750 | + | 0.654861i | 0.102844 | + | 0.0891153i | ||||
\(55\) | 5.84598 | + | 0.840525i | 0.788272 | + | 0.113336i | ||||
\(56\) | 0.0945662 | + | 2.64406i | 0.0126369 | + | 0.353327i | ||||
\(57\) | 0.396868 | − | 1.35161i | 0.0525664 | − | 0.179025i | ||||
\(58\) | −4.76891 | − | 1.40028i | −0.626188 | − | 0.183866i | ||||
\(59\) | 5.00403 | − | 2.28526i | 0.651469 | − | 0.297516i | −0.0621321 | − | 0.998068i | \(-0.519790\pi\) |
0.713602 | + | 0.700552i | \(0.247063\pi\) | |||||||
\(60\) | 2.37669 | + | 0.341716i | 0.306829 | + | 0.0441154i | ||||
\(61\) | −8.37626 | + | 9.66672i | −1.07247 | + | 1.23770i | −0.102433 | + | 0.994740i | \(0.532663\pi\) |
−0.970037 | + | 0.242957i | \(0.921883\pi\) | |||||||
\(62\) | −2.69650 | − | 1.23145i | −0.342456 | − | 0.156394i | ||||
\(63\) | −1.50904 | − | 2.17320i | −0.190121 | − | 0.273797i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | 4.69482 | + | 7.30528i | 0.582320 | + | 0.906108i | ||||
\(66\) | 1.61077 | + | 1.85893i | 0.198272 | + | 0.228818i | ||||
\(67\) | 0.857529 | + | 2.92048i | 0.104764 | + | 0.356793i | 0.995145 | − | 0.0984236i | \(-0.0313800\pi\) |
−0.890381 | + | 0.455217i | \(0.849562\pi\) | |||||||
\(68\) | −6.66532 | −0.808289 | ||||||||
\(69\) | −4.56815 | − | 1.46014i | −0.549941 | − | 0.175780i | ||||
\(70\) | −5.86933 | − | 2.43081i | −0.701519 | − | 0.290537i | ||||
\(71\) | 14.8816 | − | 4.36963i | 1.76612 | − | 0.518580i | 0.772869 | − | 0.634566i | \(-0.218821\pi\) |
0.993251 | + | 0.115986i | \(0.0370027\pi\) | |||||||
\(72\) | 0.654861 | + | 0.755750i | 0.0771761 | + | 0.0890659i | ||||
\(73\) | −7.27883 | − | 11.3261i | −0.851923 | − | 1.32562i | −0.944027 | − | 0.329868i | \(-0.892996\pi\) |
0.0921041 | − | 0.995749i | \(-0.470641\pi\) | |||||||
\(74\) | −3.08660 | + | 0.443787i | −0.358811 | + | 0.0515892i | ||||
\(75\) | −0.413814 | + | 0.643906i | −0.0477831 | + | 0.0743519i | ||||
\(76\) | 0.585182 | − | 1.28137i | 0.0671250 | − | 0.146983i | ||||
\(77\) | −2.91330 | − | 5.81929i | −0.332001 | − | 0.663170i | ||||
\(78\) | −0.514689 | + | 3.57974i | −0.0582770 | + | 0.405326i | ||||
\(79\) | −0.459240 | + | 0.209728i | −0.0516685 | + | 0.0235962i | −0.441082 | − | 0.897467i | \(-0.645405\pi\) |
0.389413 | + | 0.921063i | \(0.372678\pi\) | |||||||
\(80\) | 2.30386 | + | 0.676476i | 0.257580 | + | 0.0756323i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 7.46921 | − | 3.41107i | 0.824836 | − | 0.376690i | ||||
\(83\) | −0.0423414 | + | 0.294491i | −0.00464757 | + | 0.0323246i | −0.992013 | − | 0.126134i | \(-0.959743\pi\) |
0.987366 | + | 0.158458i | \(0.0506523\pi\) | |||||||
\(84\) | −1.18440 | − | 2.36584i | −0.129229 | − | 0.258134i | ||||
\(85\) | 6.64842 | − | 14.5580i | 0.721123 | − | 1.57904i | ||||
\(86\) | −3.03996 | + | 4.73027i | −0.327807 | + | 0.510078i | ||||
\(87\) | 4.91965 | − | 0.707339i | 0.527442 | − | 0.0758347i | ||||
\(88\) | 1.32982 | + | 2.06925i | 0.141760 | + | 0.220582i | ||||
\(89\) | −2.92830 | − | 3.37944i | −0.310399 | − | 0.358220i | 0.579019 | − | 0.815314i | \(-0.303436\pi\) |
−0.889418 | + | 0.457094i | \(0.848890\pi\) | |||||||
\(90\) | −2.30386 | + | 0.676476i | −0.242849 | + | 0.0713068i | ||||
\(91\) | 3.66126 | − | 8.84032i | 0.383804 | − | 0.926718i | ||||
\(92\) | −4.31385 | − | 2.09539i | −0.449750 | − | 0.218459i | ||||
\(93\) | 2.96439 | 0.307393 | ||||||||
\(94\) | −1.25452 | − | 4.27251i | −0.129394 | − | 0.440676i | ||||
\(95\) | 2.21500 | + | 2.55624i | 0.227254 | + | 0.262265i | ||||
\(96\) | 0.540641 | + | 0.841254i | 0.0551789 | + | 0.0858601i | ||||
\(97\) | −1.66184 | − | 11.5584i | −0.168735 | − | 1.17357i | −0.881504 | − | 0.472176i | \(-0.843469\pi\) |
0.712770 | − | 0.701398i | \(-0.247440\pi\) | |||||||
\(98\) | 1.48865 | + | 6.83988i | 0.150376 | + | 0.690932i | ||||
\(99\) | −2.23744 | − | 1.02180i | −0.224871 | − | 0.102695i | ||||
\(100\) | −0.501239 | + | 0.578461i | −0.0501239 | + | 0.0578461i | ||||
\(101\) | −2.26081 | − | 0.325056i | −0.224959 | − | 0.0323443i | 0.0289133 | − | 0.999582i | \(-0.490795\pi\) |
−0.253873 | + | 0.967238i | \(0.581704\pi\) | |||||||
\(102\) | 6.06299 | − | 2.76888i | 0.600326 | − | 0.274160i | ||||
\(103\) | −6.13142 | − | 1.80035i | −0.604146 | − | 0.177393i | −0.0346668 | − | 0.999399i | \(-0.511037\pi\) |
−0.569479 | + | 0.822006i | \(0.692855\pi\) | |||||||
\(104\) | −1.01890 | + | 3.47006i | −0.0999114 | + | 0.340267i | ||||
\(105\) | 6.34873 | − | 0.227065i | 0.619572 | − | 0.0221593i | ||||
\(106\) | −8.66181 | − | 1.24538i | −0.841309 | − | 0.120962i | ||||
\(107\) | 8.63552 | + | 7.48272i | 0.834827 | + | 0.723382i | 0.963328 | − | 0.268328i | \(-0.0864710\pi\) |
−0.128501 | + | 0.991709i | \(0.541016\pi\) | |||||||
\(108\) | −0.909632 | − | 0.415415i | −0.0875294 | − | 0.0399733i | ||||
\(109\) | −2.29125 | + | 3.56525i | −0.219462 | + | 0.341489i | −0.933475 | − | 0.358643i | \(-0.883239\pi\) |
0.714013 | + | 0.700133i | \(0.246876\pi\) | |||||||
\(110\) | −5.84598 | + | 0.840525i | −0.557392 | + | 0.0801409i | ||||
\(111\) | 2.62332 | − | 1.68590i | 0.248994 | − | 0.160019i | ||||
\(112\) | −0.835654 | − | 2.51032i | −0.0789618 | − | 0.237203i | ||||
\(113\) | 0.0553548 | + | 0.188521i | 0.00520735 | + | 0.0177346i | 0.962056 | − | 0.272853i | \(-0.0879673\pi\) |
−0.956848 | + | 0.290588i | \(0.906149\pi\) | |||||||
\(114\) | 1.40867i | 0.131934i | ||||||||
\(115\) | 8.87955 | − | 7.33200i | 0.828022 | − | 0.683712i | ||||
\(116\) | 4.97024 | 0.461475 | ||||||||
\(117\) | −1.01890 | − | 3.47006i | −0.0941974 | − | 0.320807i | ||||
\(118\) | −4.15750 | + | 3.60249i | −0.382729 | + | 0.331636i | ||||
\(119\) | −17.3544 | + | 3.13199i | −1.59088 | + | 0.287109i | ||||
\(120\) | −2.37669 | + | 0.341716i | −0.216961 | + | 0.0311943i | ||||
\(121\) | 4.16403 | + | 2.67606i | 0.378548 | + | 0.243278i | ||||
\(122\) | 5.31353 | − | 11.6350i | 0.481065 | − | 1.05338i | ||||
\(123\) | −5.37722 | + | 6.20564i | −0.484848 | + | 0.559544i | ||||
\(124\) | 2.93421 | + | 0.421876i | 0.263500 | + | 0.0378856i | ||||
\(125\) | 4.22385 | + | 9.24894i | 0.377793 | + | 0.827250i | ||||
\(126\) | 2.06018 | + | 1.66002i | 0.183535 | + | 0.147887i | ||||
\(127\) | 10.3171 | + | 3.02939i | 0.915499 | + | 0.268815i | 0.705354 | − | 0.708855i | \(-0.250788\pi\) |
0.210145 | + | 0.977670i | \(0.432606\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | 0.800219 | − | 5.56565i | 0.0704554 | − | 0.490028i | ||||
\(130\) | −6.56278 | − | 5.68668i | −0.575594 | − | 0.498755i | ||||
\(131\) | 13.7001 | + | 6.25662i | 1.19698 | + | 0.546644i | 0.911325 | − | 0.411688i | \(-0.135061\pi\) |
0.285658 | + | 0.958332i | \(0.407788\pi\) | |||||||
\(132\) | −2.06925 | − | 1.32982i | −0.180105 | − | 0.115746i | ||||
\(133\) | 0.921526 | − | 3.61126i | 0.0799065 | − | 0.313136i | ||||
\(134\) | −1.64559 | − | 2.56058i | −0.142157 | − | 0.221201i | ||||
\(135\) | 1.81465 | − | 1.57240i | 0.156180 | − | 0.135331i | ||||
\(136\) | 6.39533 | − | 1.87784i | 0.548395 | − | 0.161023i | ||||
\(137\) | 3.81617i | 0.326038i | 0.986623 | + | 0.163019i | \(0.0521231\pi\) | ||||
−0.986623 | + | 0.163019i | \(0.947877\pi\) | |||||||
\(138\) | 4.79448 | + | 0.113993i | 0.408133 | + | 0.00970376i | ||||
\(139\) | 17.9397i | 1.52162i | 0.648972 | + | 0.760812i | \(0.275199\pi\) | ||||
−0.648972 | + | 0.760812i | \(0.724801\pi\) | |||||||
\(140\) | 6.31642 | + | 0.678764i | 0.533835 | + | 0.0573660i | ||||
\(141\) | 2.91602 | + | 3.36527i | 0.245573 | + | 0.283407i | ||||
\(142\) | −13.0477 | + | 8.38526i | −1.09494 | + | 0.703675i | ||||
\(143\) | −1.26599 | − | 8.80515i | −0.105867 | − | 0.736323i | ||||
\(144\) | −0.841254 | − | 0.540641i | −0.0701045 | − | 0.0450534i | ||||
\(145\) | −4.95764 | + | 10.8557i | −0.411709 | + | 0.901517i | ||||
\(146\) | 10.1749 | + | 8.81661i | 0.842082 | + | 0.729668i | ||||
\(147\) | −4.19551 | − | 5.60337i | −0.346040 | − | 0.462158i | ||||
\(148\) | 2.83655 | − | 1.29541i | 0.233163 | − | 0.106482i | ||||
\(149\) | 3.48036 | − | 11.8530i | 0.285123 | − | 0.971038i | −0.685024 | − | 0.728520i | \(-0.740208\pi\) |
0.970147 | − | 0.242518i | \(-0.0779733\pi\) | |||||||
\(150\) | 0.215642 | − | 0.734408i | 0.0176071 | − | 0.0599642i | ||||
\(151\) | 2.96277 | + | 6.48756i | 0.241107 | + | 0.527950i | 0.991040 | − | 0.133563i | \(-0.0426419\pi\) |
−0.749934 | + | 0.661513i | \(0.769915\pi\) | |||||||
\(152\) | −0.200474 | + | 1.39433i | −0.0162606 | + | 0.113095i | ||||
\(153\) | −4.36486 | + | 5.03732i | −0.352878 | + | 0.407243i | ||||
\(154\) | 4.43477 | + | 4.76280i | 0.357364 | + | 0.383797i | ||||
\(155\) | −3.84821 | + | 5.98793i | −0.309096 | + | 0.480962i | ||||
\(156\) | −0.514689 | − | 3.57974i | −0.0412081 | − | 0.286609i | ||||
\(157\) | 3.91836 | − | 2.51818i | 0.312719 | − | 0.200973i | −0.374861 | − | 0.927081i | \(-0.622309\pi\) |
0.687580 | + | 0.726109i | \(0.258673\pi\) | |||||||
\(158\) | 0.381550 | − | 0.330615i | 0.0303545 | − | 0.0263023i | ||||
\(159\) | 8.39641 | − | 2.46541i | 0.665879 | − | 0.195520i | ||||
\(160\) | −2.40113 | −0.189826 | ||||||||
\(161\) | −12.2165 | − | 3.42870i | −0.962799 | − | 0.270219i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −13.6295 | + | 4.00198i | −1.06754 | + | 0.313459i | −0.767885 | − | 0.640588i | \(-0.778691\pi\) |
−0.299658 | + | 0.954047i | \(0.596873\pi\) | |||||||
\(164\) | −6.20564 | + | 5.37722i | −0.484579 | + | 0.419890i | ||||
\(165\) | 4.96852 | − | 3.19308i | 0.386799 | − | 0.248581i | ||||
\(166\) | −0.0423414 | − | 0.294491i | −0.00328633 | − | 0.0228569i | ||||
\(167\) | −6.68111 | + | 10.3960i | −0.517000 | + | 0.804468i | −0.997361 | − | 0.0726033i | \(-0.976869\pi\) |
0.480361 | + | 0.877071i | \(0.340506\pi\) | |||||||
\(168\) | 1.80296 | + | 1.93632i | 0.139101 | + | 0.149390i | ||||
\(169\) | 0.0520260 | − | 0.0600412i | 0.00400200 | − | 0.00461855i | ||||
\(170\) | −2.27765 | + | 15.8414i | −0.174688 | + | 1.21498i | ||||
\(171\) | −0.585182 | − | 1.28137i | −0.0447500 | − | 0.0979888i | ||||
\(172\) | 1.58415 | − | 5.39511i | 0.120790 | − | 0.411373i | ||||
\(173\) | −6.74082 | + | 22.9571i | −0.512495 | + | 1.74540i | 0.142531 | + | 0.989790i | \(0.454476\pi\) |
−0.655025 | + | 0.755607i | \(0.727342\pi\) | |||||||
\(174\) | −4.52109 | + | 2.06471i | −0.342743 | + | 0.156525i | ||||
\(175\) | −1.03326 | + | 1.74166i | −0.0781068 | + | 0.131657i | ||||
\(176\) | −1.85893 | − | 1.61077i | −0.140122 | − | 0.121417i | ||||
\(177\) | 2.28526 | − | 5.00403i | 0.171771 | − | 0.376126i | ||||
\(178\) | 3.76178 | + | 2.41755i | 0.281958 | + | 0.181203i | ||||
\(179\) | −3.08460 | − | 21.4538i | −0.230554 | − | 1.60354i | −0.695721 | − | 0.718312i | \(-0.744915\pi\) |
0.465167 | − | 0.885223i | \(-0.345994\pi\) | |||||||
\(180\) | 2.01996 | − | 1.29815i | 0.150559 | − | 0.0967582i | ||||
\(181\) | −3.96422 | − | 4.57495i | −0.294658 | − | 0.340054i | 0.589046 | − | 0.808100i | \(-0.299504\pi\) |
−0.883704 | + | 0.468046i | \(0.844958\pi\) | |||||||
\(182\) | −1.02235 | + | 9.51372i | −0.0757814 | + | 0.705204i | ||||
\(183\) | 12.7909i | 0.945531i | ||||||||
\(184\) | 4.72945 | + | 0.795158i | 0.348660 | + | 0.0586198i | ||||
\(185\) | 7.48754i | 0.550495i | ||||||||
\(186\) | −2.84431 | + | 0.835164i | −0.208555 | + | 0.0612372i | ||||
\(187\) | −12.3904 | + | 10.7363i | −0.906074 | + | 0.785117i | ||||
\(188\) | 2.40741 | + | 3.74601i | 0.175579 | + | 0.273206i | ||||
\(189\) | −2.56360 | − | 0.654182i | −0.186474 | − | 0.0475848i | ||||
\(190\) | −2.84545 | − | 1.82866i | −0.206431 | − | 0.132665i | ||||
\(191\) | −12.8357 | − | 5.86189i | −0.928762 | − | 0.424151i | −0.107178 | − | 0.994240i | \(-0.534182\pi\) |
−0.821583 | + | 0.570089i | \(0.806909\pi\) | |||||||
\(192\) | −0.755750 | − | 0.654861i | −0.0545415 | − | 0.0472605i | ||||
\(193\) | −2.11111 | + | 14.6831i | −0.151961 | + | 1.05691i | 0.760967 | + | 0.648791i | \(0.224725\pi\) |
−0.912928 | + | 0.408121i | \(0.866184\pi\) | |||||||
\(194\) | 4.85089 | + | 10.6220i | 0.348274 | + | 0.762613i | ||||
\(195\) | 8.33205 | + | 2.44651i | 0.596670 | + | 0.175198i | ||||
\(196\) | −3.35536 | − | 6.14342i | −0.239669 | − | 0.438815i | ||||
\(197\) | −11.3539 | − | 24.8616i | −0.808932 | − | 1.77131i | −0.611931 | − | 0.790911i | \(-0.709607\pi\) |
−0.197001 | − | 0.980403i | \(-0.563120\pi\) | |||||||
\(198\) | 2.43468 | + | 0.350054i | 0.173025 | + | 0.0248773i | ||||
\(199\) | 3.22577 | − | 3.72274i | 0.228669 | − | 0.263898i | −0.629807 | − | 0.776752i | \(-0.716866\pi\) |
0.858476 | + | 0.512853i | \(0.171412\pi\) | |||||||
\(200\) | 0.317964 | − | 0.696244i | 0.0224835 | − | 0.0492319i | ||||
\(201\) | 2.56058 | + | 1.64559i | 0.180610 | + | 0.116071i | ||||
\(202\) | 2.26081 | − | 0.325056i | 0.159070 | − | 0.0228708i | ||||
\(203\) | 12.9410 | − | 2.33548i | 0.908277 | − | 0.163918i | ||||
\(204\) | −5.03732 | + | 4.36486i | −0.352683 | + | 0.305601i | ||||
\(205\) | −5.55471 | − | 18.9176i | −0.387958 | − | 1.32126i | ||||
\(206\) | 6.39027 | 0.445231 | ||||||||
\(207\) | −4.40856 | + | 1.88801i | −0.306416 | + | 0.131225i | ||||
\(208\) | − | 3.61655i | − | 0.250763i | ||||||
\(209\) | −0.976183 | − | 3.32457i | −0.0675240 | − | 0.229965i | ||||
\(210\) | −6.02759 | + | 2.00651i | −0.415943 | + | 0.138462i | ||||
\(211\) | −19.2657 | + | 12.3813i | −1.32630 | + | 0.852364i | −0.995810 | − | 0.0914441i | \(-0.970852\pi\) |
−0.330494 | + | 0.943808i | \(0.607215\pi\) | |||||||
\(212\) | 8.66181 | − | 1.24538i | 0.594896 | − | 0.0855331i | ||||
\(213\) | 8.38526 | − | 13.0477i | 0.574548 | − | 0.894015i | ||||
\(214\) | −10.3938 | − | 4.74671i | −0.710509 | − | 0.324478i | ||||
\(215\) | 10.2036 | + | 8.84144i | 0.695877 | + | 0.602981i | ||||
\(216\) | 0.989821 | + | 0.142315i | 0.0673488 | + | 0.00968330i | ||||
\(217\) | 7.83802 | − | 0.280331i | 0.532079 | − | 0.0190301i | ||||
\(218\) | 1.19399 | − | 4.06635i | 0.0808671 | − | 0.275408i | ||||
\(219\) | −12.9180 | − | 3.79306i | −0.872916 | − | 0.256311i | ||||
\(220\) | 5.37237 | − | 2.45348i | 0.362205 | − | 0.165414i | ||||
\(221\) | −23.8601 | − | 3.43057i | −1.60501 | − | 0.230765i | ||||
\(222\) | −2.04208 | + | 2.35669i | −0.137056 | + | 0.158171i | ||||
\(223\) | 7.09139 | + | 3.23853i | 0.474875 | + | 0.216868i | 0.638451 | − | 0.769663i | \(-0.279576\pi\) |
−0.163576 | + | 0.986531i | \(0.552303\pi\) | |||||||
\(224\) | 1.50904 | + | 2.17320i | 0.100827 | + | 0.145203i | ||||
\(225\) | 0.108930 | + | 0.757622i | 0.00726198 | + | 0.0505082i | ||||
\(226\) | −0.106225 | − | 0.165290i | −0.00706599 | − | 0.0109949i | ||||
\(227\) | −6.79740 | − | 7.84461i | −0.451159 | − | 0.520665i | 0.483916 | − | 0.875114i | \(-0.339214\pi\) |
−0.935075 | + | 0.354449i | \(0.884668\pi\) | |||||||
\(228\) | −0.396868 | − | 1.35161i | −0.0262832 | − | 0.0895124i | ||||
\(229\) | −0.560336 | −0.0370280 | −0.0185140 | − | 0.999829i | \(-0.505894\pi\) | ||||
−0.0185140 | + | 0.999829i | \(0.505894\pi\) | |||||||
\(230\) | −6.45420 | + | 9.53666i | −0.425577 | + | 0.628828i | ||||
\(231\) | −6.01255 | − | 2.49012i | −0.395597 | − | 0.163838i | ||||
\(232\) | −4.76891 | + | 1.40028i | −0.313094 | + | 0.0919328i | ||||
\(233\) | 0.955398 | + | 1.10259i | 0.0625902 | + | 0.0722330i | 0.786181 | − | 0.617996i | \(-0.212055\pi\) |
−0.723591 | + | 0.690229i | \(0.757510\pi\) | |||||||
\(234\) | 1.95526 | + | 3.04244i | 0.127819 | + | 0.198890i | ||||
\(235\) | −10.5831 | + | 1.52162i | −0.690367 | + | 0.0992597i | ||||
\(236\) | 2.97415 | − | 4.62787i | 0.193601 | − | 0.301249i | ||||
\(237\) | −0.209728 | + | 0.459240i | −0.0136233 | + | 0.0298308i | ||||
\(238\) | 15.7691 | − | 7.89443i | 1.02216 | − | 0.511720i | ||||
\(239\) | −3.99347 | + | 27.7752i | −0.258316 | + | 1.79663i | 0.286506 | + | 0.958078i | \(0.407506\pi\) |
−0.544823 | + | 0.838551i | \(0.683403\pi\) | |||||||
\(240\) | 2.18414 | − | 0.997464i | 0.140986 | − | 0.0643860i | ||||
\(241\) | 17.5219 | + | 5.14489i | 1.12868 | + | 0.331412i | 0.792191 | − | 0.610274i | \(-0.208941\pi\) |
0.336494 | + | 0.941686i | \(0.390759\pi\) | |||||||
\(242\) | −4.74929 | − | 1.39452i | −0.305296 | − | 0.0896430i | ||||
\(243\) | −0.909632 | + | 0.415415i | −0.0583529 | + | 0.0266489i | ||||
\(244\) | −1.82034 | + | 12.6607i | −0.116535 | + | 0.810519i | ||||
\(245\) | 16.7649 | − | 1.20075i | 1.07107 | − | 0.0767131i | ||||
\(246\) | 3.41107 | − | 7.46921i | 0.217482 | − | 0.476219i | ||||
\(247\) | 2.75431 | − | 4.28579i | 0.175252 | − | 0.272698i | ||||
\(248\) | −2.93421 | + | 0.421876i | −0.186323 | + | 0.0267892i | ||||
\(249\) | 0.160851 | + | 0.250289i | 0.0101935 | + | 0.0158614i | ||||
\(250\) | −6.65848 | − | 7.68430i | −0.421119 | − | 0.485998i | ||||
\(251\) | −24.7585 | + | 7.26974i | −1.56274 | + | 0.458862i | −0.944878 | − | 0.327424i | \(-0.893820\pi\) |
−0.617863 | + | 0.786286i | \(0.712001\pi\) | |||||||
\(252\) | −2.44441 | − | 1.01236i | −0.153983 | − | 0.0637728i | ||||
\(253\) | −11.3943 | + | 3.05345i | −0.716357 | + | 0.191969i | ||||
\(254\) | −10.7527 | −0.674685 | ||||||||
\(255\) | −4.50893 | − | 15.3560i | −0.282360 | − | 0.961630i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 0.161494 | + | 0.251289i | 0.0100737 | + | 0.0156750i | 0.846254 | − | 0.532780i | \(-0.178853\pi\) |
−0.836180 | + | 0.548455i | \(0.815216\pi\) | |||||||
\(258\) | 0.800219 | + | 5.56565i | 0.0498195 | + | 0.346502i | ||||
\(259\) | 6.77679 | − | 4.70571i | 0.421089 | − | 0.292399i | ||||
\(260\) | 7.89906 | + | 3.60738i | 0.489879 | + | 0.223720i | ||||
\(261\) | 3.25481 | − | 3.75626i | 0.201468 | − | 0.232506i | ||||
\(262\) | −14.9078 | − | 2.14342i | −0.921009 | − | 0.132421i | ||||
\(263\) | −23.6803 | + | 10.8144i | −1.46019 | + | 0.666847i | −0.977883 | − | 0.209154i | \(-0.932929\pi\) |
−0.482309 | + | 0.876001i | \(0.660202\pi\) | |||||||
\(264\) | 2.36008 | + | 0.692982i | 0.145253 | + | 0.0426501i | ||||
\(265\) | −5.91976 | + | 20.1608i | −0.363648 | + | 1.23847i | ||||
\(266\) | 0.133212 | + | 3.72461i | 0.00816778 | + | 0.228370i | ||||
\(267\) | −4.42613 | − | 0.636381i | −0.270875 | − | 0.0389459i | ||||
\(268\) | 2.30033 | + | 1.99325i | 0.140515 | + | 0.121757i | ||||
\(269\) | 10.5770 | + | 4.83034i | 0.644889 | + | 0.294511i | 0.710884 | − | 0.703309i | \(-0.248295\pi\) |
−0.0659953 | + | 0.997820i | \(0.521022\pi\) | |||||||
\(270\) | −1.29815 | + | 2.01996i | −0.0790027 | + | 0.122931i | ||||
\(271\) | −21.2607 | + | 3.05682i | −1.29149 | + | 0.185689i | −0.753605 | − | 0.657328i | \(-0.771687\pi\) |
−0.537888 | + | 0.843016i | \(0.680778\pi\) | |||||||
\(272\) | −5.60723 | + | 3.60355i | −0.339988 | + | 0.218497i | ||||
\(273\) | −3.02218 | − | 9.07869i | −0.182911 | − | 0.549467i | ||||
\(274\) | −1.07514 | − | 3.66159i | −0.0649516 | − | 0.221205i | ||||
\(275\) | 1.88270i | 0.113531i | ||||||||
\(276\) | −4.63238 | + | 1.24138i | −0.278837 | + | 0.0747226i | ||||
\(277\) | 9.02419 | 0.542211 | 0.271106 | − | 0.962550i | \(-0.412611\pi\) | ||||
0.271106 | + | 0.962550i | \(0.412611\pi\) | |||||||
\(278\) | −5.05419 | − | 17.2130i | −0.303130 | − | 1.03237i | ||||
\(279\) | 2.24033 | − | 1.94126i | 0.134125 | − | 0.116220i | ||||
\(280\) | −6.25179 | + | 1.12827i | −0.373616 | + | 0.0674272i | ||||
\(281\) | −20.9356 | + | 3.01009i | −1.24892 | + | 0.179567i | −0.734877 | − | 0.678200i | \(-0.762760\pi\) |
−0.514038 | + | 0.857767i | \(0.671851\pi\) | |||||||
\(282\) | −3.74601 | − | 2.40741i | −0.223071 | − | 0.143359i | ||||
\(283\) | −0.997361 | + | 2.18392i | −0.0592870 | + | 0.129820i | −0.936957 | − | 0.349446i | \(-0.886370\pi\) |
0.877670 | + | 0.479266i | \(0.159097\pi\) | |||||||
\(284\) | 10.1568 | − | 11.7216i | 0.602695 | − | 0.695547i | ||||
\(285\) | 3.34797 | + | 0.481365i | 0.198316 | + | 0.0285136i | ||||
\(286\) | 3.69540 | + | 8.09181i | 0.218514 | + | 0.478479i | ||||
\(287\) | −13.6309 | + | 16.9166i | −0.804604 | + | 0.998556i | ||||
\(288\) | 0.959493 | + | 0.281733i | 0.0565387 | + | 0.0166013i | ||||
\(289\) | 11.3934 | + | 24.9481i | 0.670200 | + | 1.46753i | ||||
\(290\) | 1.69841 | − | 11.8127i | 0.0997341 | − | 0.693666i | ||||
\(291\) | −8.82506 | − | 7.64696i | −0.517334 | − | 0.448272i | ||||
\(292\) | −12.2467 | − | 5.59287i | −0.716683 | − | 0.327298i | ||||
\(293\) | 13.2389 | + | 8.50811i | 0.773424 | + | 0.497049i | 0.866845 | − | 0.498577i | \(-0.166144\pi\) |
−0.0934214 | + | 0.995627i | \(0.529780\pi\) | |||||||
\(294\) | 5.60421 | + | 4.19438i | 0.326844 | + | 0.244621i | ||||
\(295\) | 7.14132 | + | 11.1121i | 0.415784 | + | 0.646972i | ||||
\(296\) | −2.35669 | + | 2.04208i | −0.136980 | + | 0.118694i | ||||
\(297\) | −2.36008 | + | 0.692982i | −0.136946 | + | 0.0402109i | ||||
\(298\) | 12.3534i | 0.715615i | ||||||||
\(299\) | −14.3640 | − | 9.72124i | −0.830692 | − | 0.562194i | ||||
\(300\) | 0.765413i | 0.0441911i | ||||||||
\(301\) | 1.58951 | − | 14.7916i | 0.0916176 | − | 0.852572i | ||||
\(302\) | −4.67051 | − | 5.39006i | −0.268758 | − | 0.310163i | ||||
\(303\) | −1.92147 | + | 1.23486i | −0.110386 | + | 0.0709407i | ||||
\(304\) | −0.200474 | − | 1.39433i | −0.0114980 | − | 0.0799703i | ||||
\(305\) | −25.8371 | − | 16.6045i | −1.47943 | − | 0.950770i | ||||
\(306\) | 2.76888 | − | 6.06299i | 0.158286 | − | 0.346598i | ||||
\(307\) | −6.78321 | − | 5.87768i | −0.387138 | − | 0.335457i | 0.439447 | − | 0.898268i | \(-0.355174\pi\) |
−0.826585 | + | 0.562811i | \(0.809720\pi\) | |||||||
\(308\) | −5.59697 | − | 3.32045i | −0.318917 | − | 0.189200i | ||||
\(309\) | −5.81279 | + | 2.65461i | −0.330678 | + | 0.151016i | ||||
\(310\) | 2.00534 | − | 6.82955i | 0.113895 | − | 0.387892i | ||||
\(311\) | 3.10003 | − | 10.5577i | 0.175786 | − | 0.598673i | −0.823712 | − | 0.567008i | \(-0.808101\pi\) |
0.999499 | − | 0.0316651i | \(-0.0100810\pi\) | |||||||
\(312\) | 1.50237 | + | 3.28973i | 0.0850549 | + | 0.186244i | ||||
\(313\) | −0.772281 | + | 5.37133i | −0.0436519 | + | 0.303606i | 0.956286 | + | 0.292434i | \(0.0944652\pi\) |
−0.999938 | + | 0.0111716i | \(0.996444\pi\) | |||||||
\(314\) | −3.05019 | + | 3.52011i | −0.172132 | + | 0.198651i | ||||
\(315\) | 4.64935 | − | 4.32914i | 0.261961 | − | 0.243919i | ||||
\(316\) | −0.272950 | + | 0.424718i | −0.0153546 | + | 0.0238923i | ||||
\(317\) | 0.740816 | + | 5.15249i | 0.0416084 | + | 0.289393i | 0.999992 | + | 0.00391028i | \(0.00124468\pi\) |
−0.958384 | + | 0.285482i | \(0.907846\pi\) | |||||||
\(318\) | −7.36171 | + | 4.73108i | −0.412824 | + | 0.265306i | ||||
\(319\) | 9.23932 | − | 8.00592i | 0.517303 | − | 0.448245i | ||||
\(320\) | 2.30386 | − | 0.676476i | 0.128790 | − | 0.0378161i | ||||
\(321\) | 11.4264 | 0.637761 | ||||||||
\(322\) | 12.6877 | − | 0.151990i | 0.707056 | − | 0.00847006i | ||||
\(323\) | −9.38923 | −0.522431 | ||||||||
\(324\) | −0.959493 | + | 0.281733i | −0.0533052 | + | 0.0156518i | ||||
\(325\) | −2.09203 | + | 1.81276i | −0.116045 | + | 0.100554i | ||||
\(326\) | 11.9499 | − | 7.67974i | 0.661844 | − | 0.425341i | ||||
\(327\) | 0.603134 | + | 4.19489i | 0.0333534 | + | 0.231978i | ||||
\(328\) | 4.43933 | − | 6.90774i | 0.245121 | − | 0.381416i | ||||
\(329\) | 8.02838 | + | 8.62221i | 0.442619 | + | 0.475358i | ||||
\(330\) | −3.86767 | + | 4.46353i | −0.212908 | + | 0.245709i | ||||
\(331\) | −4.64984 | + | 32.3404i | −0.255579 | + | 1.77759i | 0.307861 | + | 0.951431i | \(0.400387\pi\) |
−0.563440 | + | 0.826157i | \(0.690522\pi\) | |||||||
\(332\) | 0.123594 | + | 0.270633i | 0.00678310 | + | 0.0148529i | ||||
\(333\) | 0.878539 | − | 2.99203i | 0.0481437 | − | 0.163962i | ||||
\(334\) | 3.48158 | − | 11.8572i | 0.190504 | − | 0.648796i | ||||
\(335\) | −6.64803 | + | 3.03605i | −0.363221 | + | 0.165877i | ||||
\(336\) | −2.27545 | − | 1.34993i | −0.124136 | − | 0.0736449i | ||||
\(337\) | −16.9206 | − | 14.6618i | −0.921724 | − | 0.798678i | 0.0581474 | − | 0.998308i | \(-0.481481\pi\) |
−0.979871 | + | 0.199630i | \(0.936026\pi\) | |||||||
\(338\) | −0.0330030 | + | 0.0722665i | −0.00179513 | + | 0.00393078i | ||||
\(339\) | 0.165290 | + | 0.106225i | 0.00897730 | + | 0.00576936i | ||||
\(340\) | −2.27765 | − | 15.8414i | −0.123523 | − | 0.859120i | ||||
\(341\) | 6.13404 | − | 3.94211i | 0.332177 | − | 0.213477i | ||||
\(342\) | 0.922482 | + | 1.06460i | 0.0498821 | + | 0.0575670i | ||||
\(343\) | −11.6231 | − | 14.4189i | −0.627587 | − | 0.778547i | ||||
\(344\) | 5.62288i | 0.303165i | ||||||||
\(345\) | 1.90928 | − | 11.3560i | 0.102792 | − | 0.611388i | ||||
\(346\) | − | 23.9263i | − | 1.28629i | ||||||
\(347\) | 22.1621 | − | 6.50738i | 1.18972 | − | 0.349334i | 0.373809 | − | 0.927506i | \(-0.378052\pi\) |
0.815915 | + | 0.578171i | \(0.196233\pi\) | |||||||
\(348\) | 3.75626 | − | 3.25481i | 0.201356 | − | 0.174476i | ||||
\(349\) | −10.6148 | − | 16.5170i | −0.568200 | − | 0.884136i | 0.431640 | − | 0.902046i | \(-0.357935\pi\) |
−0.999840 | + | 0.0179101i | \(0.994299\pi\) | |||||||
\(350\) | 0.500720 | − | 1.96221i | 0.0267646 | − | 0.104885i | ||||
\(351\) | −3.04244 | − | 1.95526i | −0.162393 | − | 0.104364i | ||||
\(352\) | 2.23744 | + | 1.02180i | 0.119256 | + | 0.0544623i | ||||
\(353\) | 1.20343 | + | 1.04278i | 0.0640522 | + | 0.0555015i | 0.686299 | − | 0.727320i | \(-0.259234\pi\) |
−0.622246 | + | 0.782821i | \(0.713780\pi\) | |||||||
\(354\) | −0.782897 | + | 5.44517i | −0.0416105 | + | 0.289407i | ||||
\(355\) | 15.4705 | + | 33.8757i | 0.821090 | + | 1.79794i | ||||
\(356\) | −4.29051 | − | 1.25981i | −0.227397 | − | 0.0667696i | ||||
\(357\) | −11.0646 | + | 13.7317i | −0.585600 | + | 0.726761i | ||||
\(358\) | 9.00389 | + | 19.7158i | 0.475871 | + | 1.04201i | ||||
\(359\) | 4.29578 | + | 0.617639i | 0.226722 | + | 0.0325978i | 0.254740 | − | 0.967010i | \(-0.418010\pi\) |
−0.0280172 | + | 0.999607i | \(0.508919\pi\) | |||||||
\(360\) | −1.57240 | + | 1.81465i | −0.0828730 | + | 0.0956405i | ||||
\(361\) | −7.06856 | + | 15.4780i | −0.372029 | + | 0.814631i | ||||
\(362\) | 5.09256 | + | 3.27279i | 0.267659 | + | 0.172014i | ||||
\(363\) | 4.89941 | − | 0.704429i | 0.257152 | − | 0.0369729i | ||||
\(364\) | −1.69939 | − | 9.41638i | −0.0890723 | − | 0.493552i | ||||
\(365\) | 24.4313 | − | 21.1698i | 1.27879 | − | 1.10808i | ||||
\(366\) | −3.60361 | − | 12.2728i | −0.188364 | − | 0.641509i | ||||
\(367\) | 3.15505 | 0.164692 | 0.0823462 | − | 0.996604i | \(-0.473759\pi\) | ||||
0.0823462 | + | 0.996604i | \(0.473759\pi\) | |||||||
\(368\) | −4.76190 | + | 0.569492i | −0.248231 | + | 0.0296868i | ||||
\(369\) | 8.21124i | 0.427460i | ||||||||
\(370\) | −2.10949 | − | 7.18425i | −0.109667 | − | 0.373491i | ||||
\(371\) | 21.9675 | − | 7.31270i | 1.14049 | − | 0.379657i | ||||
\(372\) | 2.49380 | − | 1.60267i | 0.129298 | − | 0.0830945i | ||||
\(373\) | 22.1710 | − | 3.18771i | 1.14797 | − | 0.165054i | 0.458043 | − | 0.888930i | \(-0.348550\pi\) |
0.689930 | + | 0.723876i | \(0.257641\pi\) | |||||||
\(374\) | 8.86370 | − | 13.7922i | 0.458331 | − | 0.713177i | ||||
\(375\) | 9.24894 | + | 4.22385i | 0.477613 | + | 0.218119i | ||||
\(376\) | −3.36527 | − | 2.91602i | −0.173550 | − | 0.150382i | ||||
\(377\) | 17.7922 | + | 2.55813i | 0.916343 | + | 0.131750i | ||||
\(378\) | 2.64406 | − | 0.0945662i | 0.135996 | − | 0.00486396i | ||||
\(379\) | −0.880012 | + | 2.99705i | −0.0452032 | + | 0.153948i | −0.979002 | − | 0.203851i | \(-0.934654\pi\) |
0.933799 | + | 0.357798i | \(0.116473\pi\) | |||||||
\(380\) | 3.24538 | + | 0.952930i | 0.166485 | + | 0.0488843i | ||||
\(381\) | 9.78101 | − | 4.46684i | 0.501096 | − | 0.228843i | ||||
\(382\) | 13.9673 | + | 2.00819i | 0.714629 | + | 0.102748i | ||||
\(383\) | 10.6892 | − | 12.3359i | 0.546191 | − | 0.630338i | −0.413801 | − | 0.910368i | \(-0.635799\pi\) |
0.959991 | + | 0.280030i | \(0.0903444\pi\) | |||||||
\(384\) | 0.909632 | + | 0.415415i | 0.0464195 | + | 0.0211991i | ||||
\(385\) | 12.8351 | − | 8.91254i | 0.654138 | − | 0.454225i | ||||
\(386\) | −2.11111 | − | 14.6831i | −0.107453 | − | 0.747349i | ||||
\(387\) | −3.03996 | − | 4.73027i | −0.154530 | − | 0.240453i | ||||
\(388\) | −7.64696 | − | 8.82506i | −0.388215 | − | 0.448024i | ||||
\(389\) | −6.19999 | − | 21.1152i | −0.314352 | − | 1.07058i | −0.953473 | − | 0.301478i | \(-0.902520\pi\) |
0.639121 | − | 0.769106i | \(-0.279298\pi\) | |||||||
\(390\) | −8.68380 | −0.439721 | ||||||||
\(391\) | −0.759803 | + | 31.9567i | −0.0384249 | + | 1.61612i | ||||
\(392\) | 4.95025 | + | 4.94925i | 0.250025 | + | 0.249975i | ||||
\(393\) | 14.4511 | − | 4.24321i | 0.728959 | − | 0.214042i | ||||
\(394\) | 17.8983 | + | 20.6557i | 0.901704 | + | 1.04062i | ||||
\(395\) | −0.655387 | − | 1.01980i | −0.0329761 | − | 0.0513118i | ||||
\(396\) | −2.43468 | + | 0.350054i | −0.122347 | + | 0.0175909i | ||||
\(397\) | −1.13341 | + | 1.76362i | −0.0568843 | + | 0.0885137i | −0.868531 | − | 0.495635i | \(-0.834935\pi\) |
0.811646 | + | 0.584149i | \(0.198572\pi\) | |||||||
\(398\) | −2.04629 | + | 4.48075i | −0.102571 | + | 0.224600i | ||||
\(399\) | −1.66843 | − | 3.33268i | −0.0835260 | − | 0.166843i | ||||
\(400\) | −0.108930 | + | 0.757622i | −0.00544648 | + | 0.0378811i | ||||
\(401\) | 3.74378 | − | 1.70973i | 0.186956 | − | 0.0853798i | −0.319738 | − | 0.947506i | \(-0.603595\pi\) |
0.506694 | + | 0.862126i | \(0.330868\pi\) | |||||||
\(402\) | −2.92048 | − | 0.857529i | −0.145660 | − | 0.0427697i | ||||
\(403\) | 10.2866 | + | 3.02041i | 0.512411 | + | 0.150458i | ||||
\(404\) | −2.07766 | + | 0.948833i | −0.103367 | + | 0.0472062i | ||||
\(405\) | 0.341716 | − | 2.37669i | 0.0169800 | − | 0.118099i | ||||
\(406\) | −11.7588 | + | 5.88676i | −0.583578 | + | 0.292155i | ||||
\(407\) | 3.18634 | − | 6.97710i | 0.157941 | − | 0.345842i | ||||
\(408\) | 3.60355 | − | 5.60723i | 0.178402 | − | 0.277599i | ||||
\(409\) | −6.44905 | + | 0.927233i | −0.318885 | + | 0.0458487i | −0.299899 | − | 0.953971i | \(-0.596953\pi\) |
−0.0189861 | + | 0.999820i | \(0.506044\pi\) | |||||||
\(410\) | 10.6594 | + | 16.5864i | 0.526431 | + | 0.819142i | ||||
\(411\) | 2.49906 | + | 2.88407i | 0.123270 | + | 0.142261i | ||||
\(412\) | −6.13142 | + | 1.80035i | −0.302073 | + | 0.0886967i | ||||
\(413\) | 5.56917 | − | 13.4471i | 0.274041 | − | 0.661687i | ||||
\(414\) | 3.69807 | − | 3.05356i | 0.181750 | − | 0.150074i | ||||
\(415\) | −0.714381 | −0.0350676 | ||||||||
\(416\) | 1.01890 | + | 3.47006i | 0.0499557 | + | 0.170133i | ||||
\(417\) | 11.7480 | + | 13.5579i | 0.575302 | + | 0.663934i | ||||
\(418\) | 1.87328 | + | 2.91488i | 0.0916251 | + | 0.142572i | ||||
\(419\) | 3.13665 | + | 21.8159i | 0.153236 | + | 1.06578i | 0.910750 | + | 0.412958i | \(0.135504\pi\) |
−0.757514 | + | 0.652818i | \(0.773586\pi\) | |||||||
\(420\) | 5.21813 | − | 3.62340i | 0.254619 | − | 0.176804i | ||||
\(421\) | −0.222993 | − | 0.101837i | −0.0108680 | − | 0.00496325i | 0.409974 | − | 0.912097i | \(-0.365538\pi\) |
−0.420842 | + | 0.907134i | \(0.638265\pi\) | |||||||
\(422\) | 14.9971 | − | 17.3075i | 0.730046 | − | 0.842518i | ||||
\(423\) | 4.40756 | + | 0.633712i | 0.214303 | + | 0.0308121i | ||||
\(424\) | −7.96008 | + | 3.63525i | −0.386576 | + | 0.176543i | ||||
\(425\) | 4.89507 | + | 1.43732i | 0.237446 | + | 0.0697204i | ||||
\(426\) | −4.36963 | + | 14.8816i | −0.211709 | + | 0.721015i | ||||
\(427\) | 1.20959 | + | 33.8199i | 0.0585360 | + | 1.63666i | ||||
\(428\) | 11.3101 | + | 1.62615i | 0.546695 | + | 0.0786029i | ||||
\(429\) | −6.72292 | − | 5.82544i | −0.324585 | − | 0.281255i | ||||
\(430\) | −12.2812 | − | 5.60862i | −0.592250 | − | 0.270472i | ||||
\(431\) | −11.5985 | + | 18.0476i | −0.558678 | + | 0.869321i | −0.999602 | − | 0.0282243i | \(-0.991015\pi\) |
0.440923 | + | 0.897545i | \(0.354651\pi\) | |||||||
\(432\) | −0.989821 | + | 0.142315i | −0.0476228 | + | 0.00684713i | ||||
\(433\) | −6.16783 | + | 3.96382i | −0.296407 | + | 0.190489i | −0.680389 | − | 0.732852i | \(-0.738189\pi\) |
0.383982 | + | 0.923341i | \(0.374553\pi\) | |||||||
\(434\) | −7.44154 | + | 2.47720i | −0.357206 | + | 0.118909i | ||||
\(435\) | 3.36225 | + | 11.4508i | 0.161207 | + | 0.549022i | ||||
\(436\) | 4.23802i | 0.202965i | ||||||||
\(437\) | −6.07679 | − | 2.95171i | −0.290692 | − | 0.141199i | ||||
\(438\) | 13.4633 | 0.643303 | ||||||||
\(439\) | 8.17284 | + | 27.8341i | 0.390068 | + | 1.32845i | 0.887444 | + | 0.460915i | \(0.152479\pi\) |
−0.497376 | + | 0.867535i | \(0.665703\pi\) | |||||||
\(440\) | −4.46353 | + | 3.86767i | −0.212790 | + | 0.184384i | ||||
\(441\) | −6.84018 | − | 1.48727i | −0.325723 | − | 0.0708223i | ||||
\(442\) | 23.8601 | − | 3.43057i | 1.13491 | − | 0.163175i | ||||
\(443\) | 20.7664 | + | 13.3458i | 0.986641 | + | 0.634076i | 0.931247 | − | 0.364389i | \(-0.118722\pi\) |
0.0553945 | + | 0.998465i | \(0.482358\pi\) | |||||||
\(444\) | 1.29541 | − | 2.83655i | 0.0614773 | − | 0.134617i | ||||
\(445\) | 7.03123 | − | 8.11447i | 0.333312 | − | 0.384663i | ||||
\(446\) | −7.71654 | − | 1.10947i | −0.365389 | − | 0.0525350i | ||||
\(447\) | −5.13180 | − | 11.2371i | −0.242726 | − | 0.531495i | ||||
\(448\) | −2.06018 | − | 1.66002i | −0.0973341 | − | 0.0784287i | ||||
\(449\) | 22.3002 | + | 6.54792i | 1.05241 | + | 0.309016i | 0.761791 | − | 0.647823i | \(-0.224320\pi\) |
0.290619 | + | 0.956839i | \(0.406139\pi\) | |||||||
\(450\) | −0.317964 | − | 0.696244i | −0.0149890 | − | 0.0328213i | ||||
\(451\) | −2.87438 | + | 19.9918i | −0.135349 | + | 0.941375i | ||||
\(452\) | 0.148490 | + | 0.128667i | 0.00698437 | + | 0.00605199i | ||||
\(453\) | 6.48756 | + | 2.96277i | 0.304812 | + | 0.139203i | ||||
\(454\) | 8.73214 | + | 5.61180i | 0.409820 | + | 0.263375i | ||||
\(455\) | 22.2618 | + | 5.68079i | 1.04365 | + | 0.266320i | ||||
\(456\) | 0.761584 | + | 1.18505i | 0.0356644 | + | 0.0554949i | ||||
\(457\) | 13.1550 | − | 11.3989i | 0.615364 | − | 0.533216i | −0.290451 | − | 0.956890i | \(-0.593805\pi\) |
0.905815 | + | 0.423674i | \(0.139260\pi\) | |||||||
\(458\) | 0.537638 | − | 0.157865i | 0.0251222 | − | 0.00737654i | ||||
\(459\) | 6.66532i | 0.311111i | ||||||||
\(460\) | 3.50597 | − | 10.9687i | 0.163467 | − | 0.511419i | ||||
\(461\) | − | 32.4450i | − | 1.51111i | −0.655084 | − | 0.755556i | \(-0.727367\pi\) | ||
0.655084 | − | 0.755556i | \(-0.272633\pi\) | |||||||
\(462\) | 6.47055 | + | 0.695326i | 0.301037 | + | 0.0323495i | ||||
\(463\) | −16.4059 | − | 18.9334i | −0.762446 | − | 0.879910i | 0.233266 | − | 0.972413i | \(-0.425059\pi\) |
−0.995712 | + | 0.0925030i | \(0.970513\pi\) | |||||||
\(464\) | 4.18123 | − | 2.68711i | 0.194109 | − | 0.124746i | ||||
\(465\) | 1.01298 | + | 7.04542i | 0.0469757 | + | 0.326724i | ||||
\(466\) | −1.22733 | − | 0.788759i | −0.0568551 | − | 0.0365386i | ||||
\(467\) | 14.5759 | − | 31.9168i | 0.674493 | − | 1.47693i | −0.193881 | − | 0.981025i | \(-0.562108\pi\) |
0.868375 | − | 0.495909i | \(-0.165165\pi\) | |||||||
\(468\) | −2.73321 | − | 2.36834i | −0.126343 | − | 0.109476i | ||||
\(469\) | 6.92595 | + | 4.10889i | 0.319811 | + | 0.189731i | ||||
\(470\) | 9.72574 | − | 4.44160i | 0.448615 | − | 0.204876i | ||||
\(471\) | 1.31224 | − | 4.46909i | 0.0604650 | − | 0.205925i | ||||
\(472\) | −1.54986 | + | 5.27832i | −0.0713379 | + | 0.242955i | ||||
\(473\) | −5.74548 | − | 12.5808i | −0.264177 | − | 0.578467i | ||||
\(474\) | 0.0718495 | − | 0.499725i | 0.00330016 | − | 0.0229531i | ||||
\(475\) | −0.706080 | + | 0.814859i | −0.0323972 | + | 0.0373883i | ||||
\(476\) | −12.9062 | + | 12.0173i | −0.591555 | + | 0.550813i | ||||
\(477\) | 4.73108 | − | 7.36171i | 0.216621 | − | 0.337070i | ||||
\(478\) | −3.99347 | − | 27.7752i | −0.182657 | − | 1.27041i | ||||
\(479\) | −1.47546 | + | 0.948219i | −0.0674154 | + | 0.0433252i | −0.573914 | − | 0.818915i | \(-0.694576\pi\) |
0.506499 | + | 0.862241i | \(0.330939\pi\) | |||||||
\(480\) | −1.81465 | + | 1.57240i | −0.0828271 | + | 0.0717701i | ||||
\(481\) | 10.8208 | − | 3.17728i | 0.493387 | − | 0.144872i | ||||
\(482\) | −18.2616 | −0.831794 | ||||||||
\(483\) | −11.4780 | + | 5.40890i | −0.522266 | + | 0.246114i | ||||
\(484\) | 4.94979 | 0.224991 | ||||||||
\(485\) | 26.9027 | − | 7.89936i | 1.22159 | − | 0.358691i | ||||
\(486\) | 0.755750 | − | 0.654861i | 0.0342815 | − | 0.0297051i | ||||
\(487\) | 35.9674 | − | 23.1148i | 1.62984 | − | 1.04743i | 0.680703 | − | 0.732560i | \(-0.261675\pi\) |
0.949134 | − | 0.314873i | \(-0.101962\pi\) | |||||||
\(488\) | −1.82034 | − | 12.6607i | −0.0824027 | − | 0.573123i | ||||
\(489\) | −7.67974 | + | 11.9499i | −0.347290 | + | 0.540393i | ||||
\(490\) | −15.7476 | + | 5.87534i | −0.711402 | + | 0.265421i | ||||
\(491\) | 2.57962 | − | 2.97704i | 0.116417 | − | 0.134352i | −0.694550 | − | 0.719445i | \(-0.744396\pi\) |
0.810966 | + | 0.585093i | \(0.198942\pi\) | |||||||
\(492\) | −1.16858 | + | 8.12767i | −0.0526837 | + | 0.366423i | ||||
\(493\) | −13.7620 | − | 30.1345i | −0.619808 | − | 1.35719i | ||||
\(494\) | −1.43529 | + | 4.88816i | −0.0645769 | + | 0.219929i | ||||
\(495\) | 1.66394 | − | 5.66686i | 0.0747885 | − | 0.254706i | ||||
\(496\) | 2.69650 | − | 1.23145i | 0.121076 | − | 0.0552938i | ||||
\(497\) | 20.9373 | − | 35.2919i | 0.939164 | − | 1.58306i | ||||
\(498\) | −0.224850 | − | 0.194834i | −0.0100758 | − | 0.00873070i | ||||
\(499\) | −4.83554 | + | 10.5884i | −0.216469 | + | 0.474000i | −0.986449 | − | 0.164067i | \(-0.947539\pi\) |
0.769981 | + | 0.638067i | \(0.220266\pi\) | |||||||
\(500\) | 8.55368 | + | 5.49712i | 0.382532 | + | 0.245839i | ||||
\(501\) | 1.75869 | + | 12.2320i | 0.0785726 | + | 0.546485i | ||||
\(502\) | 21.7075 | − | 13.9505i | 0.968851 | − | 0.622643i | ||||
\(503\) | −3.36926 | − | 3.88834i | −0.150228 | − | 0.173372i | 0.675648 | − | 0.737225i | \(-0.263864\pi\) |
−0.825876 | + | 0.563852i | \(0.809319\pi\) | |||||||
\(504\) | 2.63061 | + | 0.282685i | 0.117177 | + | 0.0125918i | ||||
\(505\) | − | 5.48432i | − | 0.244049i | ||||||
\(506\) | 10.0725 | − | 6.13993i | 0.447779 | − | 0.272953i | ||||
\(507\) | − | 0.0794458i | − | 0.00352831i | ||||||
\(508\) | 10.3171 | − | 3.02939i | 0.457749 | − | 0.134407i | ||||
\(509\) | −16.1130 | + | 13.9620i | −0.714196 | + | 0.618855i | −0.934244 | − | 0.356634i | \(-0.883924\pi\) |
0.220048 | + | 0.975489i | \(0.429379\pi\) | |||||||
\(510\) | 8.65257 | + | 13.4637i | 0.383142 | + | 0.596181i | ||||
\(511\) | −34.5146 | − | 8.80748i | −1.52684 | − | 0.389620i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | −1.28137 | − | 0.585182i | −0.0565739 | − | 0.0258364i | ||||
\(514\) | −0.225748 | − | 0.195612i | −0.00995733 | − | 0.00862807i | ||||
\(515\) | 2.18366 | − | 15.1877i | 0.0962234 | − | 0.669248i | ||||
\(516\) | −2.33583 | − | 5.11475i | −0.102829 | − | 0.225164i | ||||
\(517\) | 10.5092 | + | 3.08577i | 0.462193 | + | 0.135712i | ||||
\(518\) | −5.17653 | + | 6.42434i | −0.227443 | + | 0.282269i | ||||
\(519\) | 9.93934 | + | 21.7641i | 0.436289 | + | 0.955339i | ||||
\(520\) | −8.59541 | − | 1.23583i | −0.376934 | − | 0.0541949i | ||||
\(521\) | −2.48517 | + | 2.86804i | −0.108877 | + | 0.125651i | −0.807572 | − | 0.589768i | \(-0.799219\pi\) |
0.698695 | + | 0.715420i | \(0.253764\pi\) | |||||||
\(522\) | −2.06471 | + | 4.52109i | −0.0903700 | + | 0.197883i | ||||
\(523\) | −8.77507 | − | 5.63939i | −0.383707 | − | 0.246594i | 0.334540 | − | 0.942381i | \(-0.391419\pi\) |
−0.718247 | + | 0.695788i | \(0.755055\pi\) | |||||||
\(524\) | 14.9078 | − | 2.14342i | 0.651252 | − | 0.0936359i | ||||
\(525\) | 0.359662 | + | 1.99290i | 0.0156969 | + | 0.0869772i | ||||
\(526\) | 19.6743 | − | 17.0479i | 0.857842 | − | 0.743324i | ||||
\(527\) | −5.56664 | − | 18.9582i | −0.242487 | − | 0.825833i | ||||
\(528\) | −2.45972 | −0.107045 | ||||||||
\(529\) | −10.5380 | + | 20.4438i | −0.458176 | + | 0.888862i | ||||
\(530\) | − | 21.0120i | − | 0.912702i | ||||||
\(531\) | −1.54986 | − | 5.27832i | −0.0672580 | − | 0.229060i | ||||
\(532\) | −1.17716 | − | 3.53620i | −0.0510363 | − | 0.153314i | ||||
\(533\) | −24.9822 | + | 16.0551i | −1.08210 | + | 0.695423i | ||||
\(534\) | 4.42613 | − | 0.636381i | 0.191537 | − | 0.0275389i | ||||
\(535\) | −14.8332 | + | 23.0809i | −0.641295 | + | 0.997874i | ||||
\(536\) | −2.76871 | − | 1.26443i | −0.119590 | − | 0.0546150i | ||||
\(537\) | −16.3805 | − | 14.1937i | −0.706869 | − | 0.612505i | ||||
\(538\) | −11.5094 | − | 1.65480i | −0.496205 | − | 0.0713435i | ||||
\(539\) | −16.1330 | − | 6.01546i | −0.694898 | − | 0.259104i | ||||
\(540\) | 0.676476 | − | 2.30386i | 0.0291109 | − | 0.0991426i | ||||
\(541\) | −24.4289 | − | 7.17298i | −1.05028 | − | 0.308391i | −0.289351 | − | 0.957223i | \(-0.593439\pi\) |
−0.760931 | + | 0.648833i | \(0.775257\pi\) | |||||||
\(542\) | 19.5382 | − | 8.92282i | 0.839240 | − | 0.383268i | ||||
\(543\) | −5.99192 | − | 0.861507i | −0.257138 | − | 0.0369708i | ||||
\(544\) | 4.36486 | − | 5.03732i | 0.187142 | − | 0.215973i | ||||
\(545\) | −9.25645 | − | 4.22728i | −0.396503 | − | 0.181077i | ||||
\(546\) | 5.45753 | + | 7.85949i | 0.233561 | + | 0.336355i | ||||
\(547\) | −3.77858 | − | 26.2806i | −0.161560 | − | 1.12368i | −0.895694 | − | 0.444671i | \(-0.853320\pi\) |
0.734133 | − | 0.679005i | \(-0.237589\pi\) | |||||||
\(548\) | 2.06318 | + | 3.21037i | 0.0881347 | + | 0.137140i | ||||
\(549\) | 8.37626 | + | 9.66672i | 0.357490 | + | 0.412566i | ||||
\(550\) | −0.530418 | − | 1.80644i | −0.0226171 | − | 0.0770267i | ||||
\(551\) | 7.00142 | 0.298270 | ||||||||
\(552\) | 4.09500 | − | 2.49619i | 0.174295 | − | 0.106245i | ||||
\(553\) | −0.511105 | + | 1.23409i | −0.0217344 | + | 0.0524789i | ||||
\(554\) | −8.65865 | + | 2.54241i | −0.367871 | + | 0.108017i | ||||
\(555\) | 4.90330 | + | 5.65871i | 0.208133 | + | 0.240199i | ||||
\(556\) | 9.69893 | + | 15.0918i | 0.411326 | + | 0.640036i | ||||
\(557\) | −22.9139 | + | 3.29453i | −0.970895 | + | 0.139594i | −0.609471 | − | 0.792808i | \(-0.708618\pi\) |
−0.361423 | + | 0.932402i | \(0.617709\pi\) | |||||||
\(558\) | −1.60267 | + | 2.49380i | −0.0678464 | + | 0.105571i | ||||
\(559\) | 8.44764 | − | 18.4978i | 0.357297 | − | 0.782372i | ||||
\(560\) | 5.68068 | − | 2.84390i | 0.240052 | − | 0.120177i | ||||
\(561\) | −2.33322 | + | 16.2279i | −0.0985088 | + | 0.685144i | ||||
\(562\) | 19.2396 | − | 8.78641i | 0.811571 | − | 0.370632i | ||||
\(563\) | 4.06533 | + | 1.19369i | 0.171333 | + | 0.0503080i | 0.366274 | − | 0.930507i | \(-0.380633\pi\) |
−0.194941 | + | 0.980815i | \(0.562451\pi\) | |||||||
\(564\) | 4.27251 | + | 1.25452i | 0.179905 | + | 0.0528250i | ||||
\(565\) | −0.429141 | + | 0.195982i | −0.0180541 | + | 0.00824502i | ||||
\(566\) | 0.341681 | − | 2.37644i | 0.0143619 | − | 0.0998893i | ||||
\(567\) | −2.36584 | + | 1.18440i | −0.0993559 | + | 0.0497402i | ||||
\(568\) | −6.44302 | + | 14.1083i | −0.270343 | + | 0.591969i | ||||
\(569\) | −6.11422 | + | 9.51392i | −0.256322 | + | 0.398844i | −0.945436 | − | 0.325809i | \(-0.894363\pi\) |
0.689114 | + | 0.724653i | \(0.258000\pi\) | |||||||
\(570\) | −3.34797 | + | 0.481365i | −0.140231 | + | 0.0201622i | ||||
\(571\) | 12.0242 | + | 18.7101i | 0.503199 | + | 0.782993i | 0.996205 | − | 0.0870327i | \(-0.0277385\pi\) |
−0.493006 | + | 0.870026i | \(0.664102\pi\) | |||||||
\(572\) | −5.82544 | − | 6.72292i | −0.243574 | − | 0.281099i | ||||
\(573\) | −13.5393 | + | 3.97550i | −0.565613 | + | 0.166079i | ||||
\(574\) | 8.31275 | − | 20.0716i | 0.346968 | − | 0.837773i | ||||
\(575\) | 2.71628 | + | 2.46912i | 0.113277 | + | 0.102969i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −7.52646 | − | 25.6328i | −0.313330 | − | 1.06711i | −0.954129 | − | 0.299396i | \(-0.903215\pi\) |
0.640798 | − | 0.767709i | \(-0.278603\pi\) | |||||||
\(578\) | −17.9606 | − | 20.7276i | −0.747061 | − | 0.862154i | ||||
\(579\) | 8.01991 | + | 12.4792i | 0.333296 | + | 0.518619i | ||||
\(580\) | 1.69841 | + | 11.8127i | 0.0705226 | + | 0.490496i | ||||
\(581\) | 0.448969 | + | 0.646568i | 0.0186264 | + | 0.0268242i | ||||
\(582\) | 10.6220 | + | 4.85089i | 0.440295 | + | 0.201076i | ||||
\(583\) | 14.0957 | − | 16.2673i | 0.583783 | − | 0.673722i | ||||
\(584\) | 13.3263 | + | 1.91603i | 0.551446 | + | 0.0792860i | ||||
\(585\) | 7.89906 | − | 3.60738i | 0.326586 | − | 0.149147i | ||||
\(586\) | −15.0996 | − | 4.43365i | −0.623760 | − | 0.183152i | ||||
\(587\) | 4.97897 | − | 16.9568i | 0.205504 | − | 0.699882i | −0.790651 | − | 0.612268i | \(-0.790257\pi\) |
0.996154 | − | 0.0876144i | \(-0.0279243\pi\) | |||||||
\(588\) | −6.55889 | − | 2.44559i | −0.270484 | − | 0.100854i | ||||
\(589\) | 4.13333 | + | 0.594284i | 0.170311 | + | 0.0244870i | ||||
\(590\) | −9.98269 | − | 8.65005i | −0.410981 | − | 0.356117i | ||||
\(591\) | −24.8616 | − | 11.3539i | −1.02267 | − | 0.467037i | ||||
\(592\) | 1.68590 | − | 2.62332i | 0.0692903 | − | 0.107818i | ||||
\(593\) | 10.4697 | − | 1.50532i | 0.429941 | − | 0.0618161i | 0.0760524 | − | 0.997104i | \(-0.475768\pi\) |
0.353888 | + | 0.935288i | \(0.384859\pi\) | |||||||
\(594\) | 2.06925 | − | 1.32982i | 0.0849022 | − | 0.0545633i | ||||
\(595\) | −13.3740 | − | 40.1758i | −0.548282 | − | 1.64705i | ||||
\(596\) | −3.48036 | − | 11.8530i | −0.142561 | − | 0.485519i | ||||
\(597\) | − | 4.92589i | − | 0.201603i | ||||||
\(598\) | 16.5210 | + | 5.28066i | 0.675592 | + | 0.215942i | ||||
\(599\) | 8.53087 | 0.348562 | 0.174281 | − | 0.984696i | \(-0.444240\pi\) | ||||
0.174281 | + | 0.984696i | \(0.444240\pi\) | |||||||
\(600\) | −0.215642 | − | 0.734408i | −0.00880354 | − | 0.0299821i | ||||
\(601\) | −28.9879 | + | 25.1181i | −1.18244 | + | 1.02459i | −0.183303 | + | 0.983056i | \(0.558679\pi\) |
−0.999137 | + | 0.0415336i | \(0.986776\pi\) | |||||||
\(602\) | 2.64215 | + | 14.6402i | 0.107686 | + | 0.596691i | ||||
\(603\) | 3.01279 | − | 0.433174i | 0.122690 | − | 0.0176402i | ||||
\(604\) | 5.99988 | + | 3.85589i | 0.244132 | + | 0.156894i | ||||
\(605\) | −4.93724 | + | 10.8111i | −0.200727 | + | 0.439532i | ||||
\(606\) | 1.49574 | − | 1.72618i | 0.0607604 | − | 0.0701212i | ||||
\(607\) | 45.4487 | + | 6.53454i | 1.84471 | + | 0.265229i | 0.973995 | − | 0.226568i | \(-0.0727505\pi\) |
0.870710 | + | 0.491796i | \(0.163660\pi\) | |||||||
\(608\) | 0.585182 | + | 1.28137i | 0.0237323 | + | 0.0519664i | ||||
\(609\) | 8.25071 | − | 10.2396i | 0.334336 | − | 0.414928i | ||||
\(610\) | 29.4685 | + | 8.65274i | 1.19315 | + | 0.350339i | ||||
\(611\) | 6.68988 | + | 14.6488i | 0.270644 | + | 0.592627i | ||||
\(612\) | −0.948574 | + | 6.59748i | −0.0383438 | + | 0.266687i | ||||
\(613\) | 3.45400 | + | 2.99291i | 0.139506 | + | 0.120882i | 0.721818 | − | 0.692082i | \(-0.243307\pi\) |
−0.582313 | + | 0.812965i | \(0.697852\pi\) | |||||||
\(614\) | 8.16437 | + | 3.72854i | 0.329487 | + | 0.150472i | ||||
\(615\) | −16.5864 | − | 10.6594i | −0.668827 | − | 0.429829i | ||||
\(616\) | 6.30573 | + | 1.60910i | 0.254065 | + | 0.0648326i | ||||
\(617\) | 20.9525 | + | 32.6028i | 0.843517 | + | 1.31254i | 0.948084 | + | 0.318020i | \(0.103018\pi\) |
−0.104567 | + | 0.994518i | \(0.533346\pi\) | |||||||
\(618\) | 4.82944 | − | 4.18473i | 0.194269 | − | 0.168335i | ||||
\(619\) | −13.8717 | + | 4.07309i | −0.557549 | + | 0.163711i | −0.548354 | − | 0.836247i | \(-0.684745\pi\) |
−0.00919539 | + | 0.999958i | \(0.502927\pi\) | |||||||
\(620\) | 7.11787i | 0.285861i | ||||||||
\(621\) | −2.09539 | + | 4.31385i | −0.0840851 | + | 0.173109i | ||||
\(622\) | 11.0034i | 0.441197i | ||||||||
\(623\) | −11.7631 | − | 1.26407i | −0.471280 | − | 0.0506438i | ||||
\(624\) | −2.36834 | − | 2.73321i | −0.0948094 | − | 0.109416i | ||||
\(625\) | −23.7580 | + | 15.2683i | −0.950321 | + | 0.610734i | ||||
\(626\) | −0.772281 | − | 5.37133i | −0.0308666 | − | 0.214682i | ||||
\(627\) | −2.91488 | − | 1.87328i | −0.116409 | − | 0.0748116i | ||||
\(628\) | 1.93491 | − | 4.23685i | 0.0772112 | − | 0.169069i | ||||
\(629\) | −15.7081 | − | 13.6111i | −0.626322 | − | 0.542712i | ||||
\(630\) | −3.24136 | + | 5.46365i | −0.129139 | + | 0.217677i | ||||
\(631\) | −37.4023 | + | 17.0810i | −1.48896 | + | 0.679986i | −0.983174 | − | 0.182673i | \(-0.941525\pi\) |
−0.505787 | + | 0.862658i | \(0.668798\pi\) | |||||||
\(632\) | 0.142236 | − | 0.484413i | 0.00565786 | − | 0.0192689i | ||||
\(633\) | −6.45200 | + | 21.9735i | −0.256444 | + | 0.873368i | ||||
\(634\) | −2.16243 | − | 4.73506i | −0.0858811 | − | 0.188053i | ||||
\(635\) | −3.67437 | + | 25.5558i | −0.145813 | + | 1.01415i | ||||
\(636\) | 5.73061 | − | 6.61347i | 0.227233 | − | 0.262241i | ||||
\(637\) | −8.84938 | − | 23.7188i | −0.350625 | − | 0.939773i | ||||
\(638\) | −6.60954 | + | 10.2846i | −0.261674 | + | 0.407173i | ||||
\(639\) | −2.20728 | − | 15.3520i | −0.0873187 | − | 0.607315i | ||||
\(640\) | −2.01996 | + | 1.29815i | −0.0798458 | + | 0.0513138i | ||||
\(641\) | 24.4216 | − | 21.1615i | 0.964596 | − | 0.835827i | −0.0218753 | − | 0.999761i | \(-0.506964\pi\) |
0.986471 | + | 0.163933i | \(0.0524182\pi\) | |||||||
\(642\) | −10.9636 | + | 3.21920i | −0.432698 | + | 0.127052i | ||||
\(643\) | 40.2738 | 1.58825 | 0.794123 | − | 0.607758i | \(-0.207931\pi\) | ||||
0.794123 | + | 0.607758i | \(0.207931\pi\) | |||||||
\(644\) | −12.1309 | + | 3.72036i | −0.478025 | + | 0.146603i | ||||
\(645\) | 13.5012 | 0.531611 | ||||||||
\(646\) | 9.00890 | − | 2.64525i | 0.354451 | − | 0.104076i | ||||
\(647\) | 23.5367 | − | 20.3946i | 0.925322 | − | 0.801796i | −0.0551454 | − | 0.998478i | \(-0.517562\pi\) |
0.980467 | + | 0.196682i | \(0.0630168\pi\) | |||||||
\(648\) | 0.841254 | − | 0.540641i | 0.0330476 | − | 0.0212384i | ||||
\(649\) | −1.92570 | − | 13.3936i | −0.0755905 | − | 0.525743i | ||||
\(650\) | 1.49658 | − | 2.32872i | 0.0587006 | − | 0.0913399i | ||||
\(651\) | 5.74000 | − | 5.34467i | 0.224968 | − | 0.209474i | ||||
\(652\) | −9.30221 | + | 10.7353i | −0.364303 | + | 0.420428i | ||||
\(653\) | −2.80403 | + | 19.5025i | −0.109730 | + | 0.763190i | 0.858443 | + | 0.512909i | \(0.171432\pi\) |
−0.968173 | + | 0.250281i | \(0.919477\pi\) | |||||||
\(654\) | −1.76054 | − | 3.85504i | −0.0688425 | − | 0.150744i | ||||
\(655\) | −10.1885 | + | 34.6988i | −0.398097 | + | 1.35580i | ||||
\(656\) | −2.31337 | + | 7.87863i | −0.0903221 | + | 0.307609i | ||||
\(657\) | −12.2467 | + | 5.59287i | −0.477789 | + | 0.218199i | ||||
\(658\) | −10.1323 | − | 6.01110i | −0.394999 | − | 0.234337i | ||||
\(659\) | −30.6043 | − | 26.5188i | −1.19217 | − | 1.03303i | −0.998651 | − | 0.0519294i | \(-0.983463\pi\) |
−0.193524 | − | 0.981096i | \(-0.561992\pi\) | |||||||
\(660\) | 2.45348 | − | 5.37237i | 0.0955016 | − | 0.209119i | ||||
\(661\) | −14.9433 | − | 9.60346i | −0.581226 | − | 0.373531i | 0.216744 | − | 0.976229i | \(-0.430456\pi\) |
−0.797970 | + | 0.602697i | \(0.794093\pi\) | |||||||
\(662\) | −4.64984 | − | 32.3404i | −0.180721 | − | 1.25694i | ||||
\(663\) | −20.2788 | + | 13.0324i | −0.787564 | + | 0.506137i | ||||
\(664\) | −0.194834 | − | 0.224850i | −0.00756101 | − | 0.00872587i | ||||
\(665\) | 8.89774 | + | 0.956153i | 0.345040 | + | 0.0370780i | ||||
\(666\) | 3.11835i | 0.120833i | ||||||||
\(667\) | 0.566574 | − | 23.8297i | 0.0219378 | − | 0.922689i | ||||
\(668\) | 12.3578i | 0.478136i | ||||||||
\(669\) | 7.48011 | − | 2.19636i | 0.289198 | − | 0.0849161i | ||||
\(670\) | 5.52338 | − | 4.78604i | 0.213387 | − | 0.184901i | ||||
\(671\) | 17.0096 | + | 26.4675i | 0.656650 | + | 1.02177i | ||||
\(672\) | 2.56360 | + | 0.654182i | 0.0988930 | + | 0.0252356i | ||||
\(673\) | 10.9866 | + | 7.06065i | 0.423501 | + | 0.272168i | 0.734985 | − | 0.678084i | \(-0.237189\pi\) |
−0.311483 | + | 0.950252i | \(0.600826\pi\) | |||||||
\(674\) | 20.3659 | + | 9.30080i | 0.784465 | + | 0.358253i | ||||
\(675\) | 0.578461 | + | 0.501239i | 0.0222650 | + | 0.0192927i | ||||
\(676\) | 0.0113063 | − | 0.0786372i | 0.000434859 | − | 0.00302451i | ||||
\(677\) | −14.3865 | − | 31.5020i | −0.552917 | − | 1.21072i | −0.955406 | − | 0.295295i | \(-0.904582\pi\) |
0.402489 | − | 0.915425i | \(-0.368145\pi\) | |||||||
\(678\) | −0.188521 | − | 0.0553548i | −0.00724012 | − | 0.00212589i | ||||
\(679\) | −24.0571 | − | 19.3845i | −0.923228 | − | 0.743907i | ||||
\(680\) | 6.64842 | + | 14.5580i | 0.254955 | + | 0.558274i | ||||
\(681\) | −10.2743 | − | 1.47722i | −0.393710 | − | 0.0566070i | ||||
\(682\) | −4.77495 | + | 5.51059i | −0.182842 | + | 0.211011i | ||||
\(683\) | 7.59330 | − | 16.6270i | 0.290550 | − | 0.636215i | −0.706921 | − | 0.707292i | \(-0.749916\pi\) |
0.997471 | + | 0.0710774i | \(0.0226437\pi\) | |||||||
\(684\) | −1.18505 | − | 0.761584i | −0.0453114 | − | 0.0291199i | ||||
\(685\) | −9.06985 | + | 1.30405i | −0.346541 | + | 0.0498251i | ||||
\(686\) | 15.2145 | + | 10.5602i | 0.580893 | + | 0.403191i | ||||
\(687\) | −0.423473 | + | 0.366942i | −0.0161565 | + | 0.0139997i | ||||
\(688\) | −1.58415 | − | 5.39511i | −0.0603951 | − | 0.205687i | ||||
\(689\) | 31.6480 | 1.20569 | ||||||||
\(690\) | 1.36742 | + | 11.4339i | 0.0520569 | + | 0.435282i | ||||
\(691\) | − | 4.11954i | − | 0.156715i | −0.996925 | − | 0.0783574i | \(-0.975032\pi\) | ||
0.996925 | − | 0.0783574i | \(-0.0249675\pi\) | |||||||
\(692\) | 6.74082 | + | 22.9571i | 0.256247 | + | 0.872699i | ||||
\(693\) | −6.17466 | + | 2.05547i | −0.234556 | + | 0.0780809i | ||||
\(694\) | −19.4310 | + | 12.4876i | −0.737592 | + | 0.474022i | ||||
\(695\) | −42.6370 | + | 6.13028i | −1.61731 | + | 0.232535i | ||||
\(696\) | −2.68711 | + | 4.18123i | −0.101855 | + | 0.158489i | ||||
\(697\) | 49.7847 | + | 22.7359i | 1.88573 | + | 0.861184i | ||||
\(698\) | 14.8383 | + | 12.8574i | 0.561636 | + | 0.486660i | ||||
\(699\) | 1.44408 | + | 0.207628i | 0.0546203 | + | 0.00785321i | ||||
\(700\) | 0.0723822 | + | 2.02380i | 0.00273579 | + | 0.0764924i | ||||
\(701\) | 2.86883 | − | 9.77032i | 0.108354 | − | 0.369020i | −0.887408 | − | 0.460984i | \(-0.847496\pi\) |
0.995762 | + | 0.0919644i | \(0.0293146\pi\) | |||||||
\(702\) | 3.47006 | + | 1.01890i | 0.130969 | + | 0.0384559i | ||||
\(703\) | 3.99575 | − | 1.82480i | 0.150703 | − | 0.0688236i | ||||
\(704\) | −2.43468 | − | 0.350054i | −0.0917605 | − | 0.0131932i | ||||
\(705\) | −7.00174 | + | 8.08044i | −0.263701 | + | 0.304327i | ||||
\(706\) | −1.44847 | − | 0.661493i | −0.0545138 | − | 0.0248956i | ||||
\(707\) | −4.96372 | + | 3.44674i | −0.186680 | + | 0.129628i | ||||
\(708\) | −0.782897 | − | 5.44517i | −0.0294231 | − | 0.204642i | ||||
\(709\) | −17.9631 | − | 27.9511i | −0.674618 | − | 1.04973i | −0.994748 | − | 0.102352i | \(-0.967363\pi\) |
0.320130 | − | 0.947373i | \(-0.396273\pi\) | |||||||
\(710\) | −24.3877 | − | 28.1450i | −0.915256 | − | 1.05626i | ||||
\(711\) | 0.142236 | + | 0.484413i | 0.00533428 | + | 0.0181669i | ||||
\(712\) | 4.47164 | 0.167582 | ||||||||
\(713\) | 2.35716 | − | 14.0199i | 0.0882762 | − | 0.525050i | ||||
\(714\) | 6.74772 | − | 16.2928i | 0.252527 | − | 0.609741i | ||||
\(715\) | 20.4945 | − | 6.01772i | 0.766450 | − | 0.225050i | ||||
\(716\) | −14.1937 | − | 16.3805i | −0.530445 | − | 0.612167i | ||||
\(717\) | 15.1708 | + | 23.6063i | 0.566565 | + | 0.881593i | ||||
\(718\) | −4.29578 | + | 0.617639i | −0.160317 | + | 0.0230501i | ||||
\(719\) | 10.6523 | − | 16.5752i | 0.397262 | − | 0.618152i | −0.583788 | − | 0.811906i | \(-0.698430\pi\) |
0.981050 | + | 0.193754i | \(0.0620665\pi\) | |||||||
\(720\) | 0.997464 | − | 2.18414i | 0.0371733 | − | 0.0813982i | ||||
\(721\) | −15.1183 | + | 7.56865i | −0.563036 | + | 0.281871i | ||||
\(722\) | 2.42158 | − | 16.8425i | 0.0901219 | − | 0.626811i | ||||
\(723\) | 16.6114 | − | 7.58615i | 0.617783 | − | 0.282132i | ||||
\(724\) | −5.80832 | − | 1.70548i | −0.215865 | − | 0.0633836i | ||||
\(725\) | −3.65019 | − | 1.07179i | −0.135564 | − | 0.0398053i | ||||
\(726\) | −4.50249 | + | 2.05622i | −0.167103 | + | 0.0763134i | ||||
\(727\) | −6.30408 | + | 43.8459i | −0.233806 | + | 1.62615i | 0.447591 | + | 0.894239i | \(0.352282\pi\) |
−0.681396 | + | 0.731915i | \(0.738627\pi\) | |||||||
\(728\) | 4.28345 | + | 8.55618i | 0.158755 | + | 0.317113i | ||||
\(729\) | −0.415415 | + | 0.909632i | −0.0153857 | + | 0.0336901i | ||||
\(730\) | −17.4774 | + | 27.1954i | −0.646868 | + | 1.00655i | ||||
\(731\) | −37.0968 | + | 5.33372i | −1.37208 | + | 0.197275i | ||||
\(732\) | 6.91528 | + | 10.7604i | 0.255596 | + | 0.397716i | ||||
\(733\) | 5.38369 | + | 6.21311i | 0.198851 | + | 0.229486i | 0.846414 | − | 0.532526i | \(-0.178757\pi\) |
−0.647563 | + | 0.762012i | \(0.724212\pi\) | |||||||
\(734\) | −3.02725 | + | 0.888881i | −0.111738 | + | 0.0328092i | ||||
\(735\) | 11.8838 | − | 11.8862i | 0.438340 | − | 0.438428i | ||||
\(736\) | 4.40856 | − | 1.88801i | 0.162502 | − | 0.0695928i | ||||
\(737\) | 7.48681 | 0.275780 | ||||||||
\(738\) | −2.31337 | − | 7.87863i | −0.0851565 | − | 0.290016i | ||||
\(739\) | 30.7215 | + | 35.4546i | 1.13011 | + | 1.30422i | 0.947039 | + | 0.321117i | \(0.104058\pi\) |
0.183071 | + | 0.983100i | \(0.441396\pi\) | |||||||
\(740\) | 4.04807 | + | 6.29892i | 0.148810 | + | 0.231553i | ||||
\(741\) | −0.725026 | − | 5.04267i | −0.0266345 | − | 0.185247i | ||||
\(742\) | −19.0174 | + | 13.2054i | −0.698151 | + | 0.484787i | ||||
\(743\) | −40.3843 | − | 18.4429i | −1.48156 | − | 0.676604i | −0.499694 | − | 0.866202i | \(-0.666554\pi\) |
−0.981862 | + | 0.189598i | \(0.939281\pi\) | |||||||
\(744\) | −1.94126 | + | 2.24033i | −0.0711701 | + | 0.0821346i | ||||
\(745\) | 29.3602 | + | 4.22137i | 1.07568 | + | 0.154659i | ||||
\(746\) | −20.3749 | + | 9.30489i | −0.745977 | + | 0.340676i | ||||
\(747\) | 0.285467 | + | 0.0838208i | 0.0104447 | + | 0.00306684i | ||||
\(748\) | −4.61895 | + | 15.7307i | −0.168886 | + | 0.575171i | ||||
\(749\) | 30.2122 | − | 1.08055i | 1.10393 | − | 0.0394826i | ||||
\(750\) | −10.0643 | − | 1.44703i | −0.367496 | − | 0.0528379i | ||||
\(751\) | 15.9106 | + | 13.7866i | 0.580587 | + | 0.503081i | 0.894917 | − | 0.446232i | \(-0.147235\pi\) |
−0.314330 | + | 0.949314i | \(0.601780\pi\) | |||||||
\(752\) | 4.05049 | + | 1.84980i | 0.147706 | + | 0.0674551i | ||||
\(753\) | −13.9505 | + | 21.7075i | −0.508386 | + | 0.791064i | ||||
\(754\) | −17.7922 | + | 2.55813i | −0.647952 | + | 0.0931615i | ||||
\(755\) | −14.4065 | + | 9.25848i | −0.524305 | + | 0.336951i | ||||
\(756\) | −2.51032 | + | 0.835654i | −0.0912993 | + | 0.0303924i | ||||
\(757\) | −13.6941 | − | 46.6379i | −0.497721 | − | 1.69508i | −0.698639 | − | 0.715474i | \(-0.746211\pi\) |
0.200918 | − | 0.979608i | \(-0.435607\pi\) | |||||||
\(758\) | − | 3.12357i | − | 0.113453i | ||||||
\(759\) | −6.61169 | + | 9.76936i | −0.239989 | + | 0.354605i | ||||
\(760\) | −3.38239 | −0.122692 | ||||||||
\(761\) | 12.5617 | + | 42.7812i | 0.455361 | + | 1.55082i | 0.792807 | + | 0.609473i | \(0.208619\pi\) |
−0.337445 | + | 0.941345i | \(0.609563\pi\) | |||||||
\(762\) | −8.12635 | + | 7.04153i | −0.294387 | + | 0.255088i | ||||
\(763\) | 1.99142 | + | 11.0345i | 0.0720941 | + | 0.399476i | ||||
\(764\) | −13.9673 | + | 2.00819i | −0.505319 | + | 0.0726539i | ||||
\(765\) | −13.4637 | − | 8.65257i | −0.486780 | − | 0.312834i | ||||
\(766\) | −6.78074 | + | 14.8477i | −0.244998 | + | 0.536471i | ||||
\(767\) | 13.0286 | − | 15.0358i | 0.470436 | − | 0.542912i | ||||
\(768\) | −0.989821 | − | 0.142315i | −0.0357171 | − | 0.00513534i | ||||
\(769\) | −10.1720 | − | 22.2736i | −0.366811 | − | 0.803205i | −0.999583 | − | 0.0288666i | \(-0.990810\pi\) |
0.632772 | − | 0.774338i | \(-0.281917\pi\) | |||||||
\(770\) | −9.80425 | + | 12.1676i | −0.353321 | + | 0.438489i | ||||
\(771\) | 0.286608 | + | 0.0841557i | 0.0103219 | + | 0.00303079i | ||||
\(772\) | 6.16230 | + | 13.4936i | 0.221786 | + | 0.485643i | ||||
\(773\) | −5.94387 | + | 41.3405i | −0.213786 | + | 1.48691i | 0.546573 | + | 0.837411i | \(0.315932\pi\) |
−0.760359 | + | 0.649503i | \(0.774977\pi\) | |||||||
\(774\) | 4.24949 | + | 3.68220i | 0.152745 | + | 0.132354i | ||||
\(775\) | −2.06394 | − | 0.942568i | −0.0741388 | − | 0.0338581i | ||||
\(776\) | 9.82351 | + | 6.31318i | 0.352643 | + | 0.226630i | ||||
\(777\) | 2.03997 | − | 7.99419i | 0.0731834 | − | 0.286790i | ||||
\(778\) | 11.8977 | + | 18.5132i | 0.426553 | + | 0.663730i | ||||
\(779\) | −8.74170 | + | 7.57472i | −0.313204 | + | 0.271393i | ||||
\(780\) | 8.33205 | − | 2.44651i | 0.298335 | − | 0.0875991i | ||||
\(781\) | − | 38.1498i | − | 1.36511i | ||||||
\(782\) | −8.27423 | − | 30.8763i | −0.295886 | − | 1.10414i | ||||
\(783\) | − | 4.97024i | − | 0.177622i | ||||||
\(784\) | −6.14409 | − | 3.35412i | −0.219432 | − | 0.119790i | ||||
\(785\) | 7.32389 | + | 8.45222i | 0.261401 | + | 0.301673i | ||||
\(786\) | −12.6702 | + | 8.14266i | −0.451932 | + | 0.290439i | ||||
\(787\) | 5.08479 | + | 35.3655i | 0.181253 | + | 1.26064i | 0.853804 | + | 0.520594i | \(0.174289\pi\) |
−0.672551 | + | 0.740051i | \(0.734801\pi\) | |||||||
\(788\) | −22.9927 | − | 14.7765i | −0.819081 | − | 0.526391i | ||||
\(789\) | −10.8144 | + | 23.6803i | −0.385005 | + | 0.843042i | ||||
\(790\) | 0.916151 | + | 0.793849i | 0.0325952 | + | 0.0282439i | ||||
\(791\) | 0.447081 | + | 0.265235i | 0.0158964 | + | 0.00943067i | ||||
\(792\) | 2.23744 | − | 1.02180i | 0.0795039 | − | 0.0363082i | ||||
\(793\) | −13.0327 | + | 44.3851i | −0.462803 | + | 1.57616i | ||||
\(794\) | 0.590630 | − | 2.01150i | 0.0209607 | − | 0.0713856i | ||||
\(795\) | 8.72869 | + | 19.1132i | 0.309575 | + | 0.677874i | ||||
\(796\) | 0.701028 | − | 4.87576i | 0.0248473 | − | 0.172817i | ||||
\(797\) | 22.7591 | − | 26.2654i | 0.806168 | − | 0.930368i | −0.192534 | − | 0.981290i | \(-0.561671\pi\) |
0.998703 | + | 0.0509223i | \(0.0162161\pi\) | |||||||
\(798\) | 2.53977 | + | 2.72763i | 0.0899070 | + | 0.0965572i | ||||
\(799\) | 16.0462 | − | 24.9683i | 0.567673 | − | 0.883317i | ||||
\(800\) | −0.108930 | − | 0.757622i | −0.00385124 | − | 0.0267860i | ||||
\(801\) | −3.76178 | + | 2.41755i | −0.132916 | + | 0.0854200i | ||||
\(802\) | −3.11045 | + | 2.69522i | −0.109834 | + | 0.0951715i | ||||
\(803\) | −31.7746 | + | 9.32986i | −1.12130 | + | 0.329244i | ||||
\(804\) | 3.04377 | 0.107346 | ||||||||
\(805\) | 3.97435 | − | 30.2066i | 0.140077 | − | 1.06464i | ||||
\(806\) | −10.7209 | −0.377626 | ||||||||
\(807\) | 11.1567 | − | 3.27591i | 0.392736 | − | 0.115318i | ||||
\(808\) | 1.72618 | − | 1.49574i | 0.0607267 | − | 0.0526200i | ||||
\(809\) | 30.1380 | − | 19.3685i | 1.05959 | − | 0.680960i | 0.109838 | − | 0.993950i | \(-0.464967\pi\) |
0.949756 | + | 0.312990i | \(0.101331\pi\) | |||||||
\(810\) | 0.341716 | + | 2.37669i | 0.0120067 | + | 0.0835083i | ||||
\(811\) | −17.0137 | + | 26.4739i | −0.597433 | + | 0.929624i | 0.402466 | + | 0.915435i | \(0.368153\pi\) |
−0.999899 | + | 0.0141894i | \(0.995483\pi\) | |||||||
\(812\) | 9.62397 | − | 8.96114i | 0.337735 | − | 0.314474i | ||||
\(813\) | −14.0659 | + | 16.2330i | −0.493314 | + | 0.569315i | ||||
\(814\) | −1.09159 | + | 7.59217i | −0.0382602 | + | 0.266106i | ||||
\(815\) | −14.1689 | − | 31.0255i | −0.496313 | − | 1.08677i | ||||
\(816\) | −1.87784 | + | 6.39533i | −0.0657375 | + | 0.223881i | ||||
\(817\) | 2.23154 | − | 7.59993i | 0.0780717 | − | 0.265888i | ||||
\(818\) | 5.92658 | − | 2.70658i | 0.207218 | − | 0.0946334i | ||||
\(819\) | −8.22929 | − | 4.88210i | −0.287555 | − | 0.170594i | ||||
\(820\) | −14.9005 | − | 12.9114i | −0.520350 | − | 0.450885i | ||||
\(821\) | −13.7547 | + | 30.1186i | −0.480042 | + | 1.05115i | 0.502410 | + | 0.864630i | \(0.332447\pi\) |
−0.982452 | + | 0.186516i | \(0.940280\pi\) | |||||||
\(822\) | −3.21037 | − | 2.06318i | −0.111975 | − | 0.0719617i | ||||
\(823\) | 4.03659 | + | 28.0751i | 0.140707 | + | 0.978637i | 0.930768 | + | 0.365609i | \(0.119139\pi\) |
−0.790062 | + | 0.613027i | \(0.789952\pi\) | |||||||
\(824\) | 5.37583 | − | 3.45484i | 0.187276 | − | 0.120355i | ||||
\(825\) | 1.23291 | + | 1.42285i | 0.0429243 | + | 0.0495373i | ||||
\(826\) | −1.55510 | + | 14.4714i | −0.0541088 | + | 0.503524i | ||||
\(827\) | 6.50099i | 0.226062i | 0.993591 | + | 0.113031i | \(0.0360559\pi\) | ||||
−0.993591 | + | 0.113031i | \(0.963944\pi\) | |||||||
\(828\) | −2.68799 | + | 3.97174i | −0.0934140 | + | 0.138028i | ||||
\(829\) | 20.6491i | 0.717174i | 0.933496 | + | 0.358587i | \(0.116741\pi\) | ||||
−0.933496 | + | 0.358587i | \(0.883259\pi\) | |||||||
\(830\) | 0.685444 | − | 0.201264i | 0.0237921 | − | 0.00698599i | ||||
\(831\) | 6.82003 | − | 5.90959i | 0.236584 | − | 0.205001i | ||||
\(832\) | −1.95526 | − | 3.04244i | −0.0677863 | − | 0.105478i | ||||
\(833\) | −27.9569 | + | 37.3539i | −0.968649 | + | 1.29424i | ||||
\(834\) | −15.0918 | − | 9.69893i | −0.522587 | − | 0.335846i | ||||
\(835\) | −26.9911 | − | 12.3264i | −0.934066 | − | 0.426574i | ||||
\(836\) | −2.61862 | − | 2.26904i | −0.0905667 | − | 0.0784765i | ||||
\(837\) | 0.421876 | − | 2.93421i | 0.0145822 | − | 0.101421i | ||||
\(838\) | −9.15585 | − | 20.0485i | −0.316284 | − | 0.692564i | ||||
\(839\) | −5.27928 | − | 1.55014i | −0.182261 | − | 0.0535166i | 0.189329 | − | 0.981914i | \(-0.439369\pi\) |
−0.371589 | + | 0.928397i | \(0.621187\pi\) | |||||||
\(840\) | −3.98593 | + | 4.94674i | −0.137528 | + | 0.170679i | ||||
\(841\) | −1.78493 | − | 3.90844i | −0.0615492 | − | 0.134774i | ||||
\(842\) | 0.242651 | + | 0.0348880i | 0.00836231 | + | 0.00120232i | ||||
\(843\) | −13.8509 | + | 15.9848i | −0.477051 | + | 0.550546i | ||||
\(844\) | −9.51349 | + | 20.8316i | −0.327468 | + | 0.717054i | ||||
\(845\) | 0.160477 | + | 0.103132i | 0.00552058 | + | 0.00354786i | ||||
\(846\) | −4.40756 | + | 0.633712i | −0.151535 | + | 0.0217875i | ||||
\(847\) | 12.8877 | − | 2.32587i | 0.442828 | − | 0.0799179i | ||||
\(848\) | 6.61347 | − | 5.73061i | 0.227108 | − | 0.196790i | ||||
\(849\) | 0.676406 | + | 2.30363i | 0.0232142 | + | 0.0790603i | ||||
\(850\) | −5.10173 | −0.174988 | ||||||||
\(851\) | −5.88745 | − | 13.7474i | −0.201819 | − | 0.471256i | ||||
\(852\) | − | 15.5098i | − | 0.531359i | ||||||
\(853\) | −13.5683 | − | 46.2095i | −0.464571 | − | 1.58218i | −0.775241 | − | 0.631666i | \(-0.782371\pi\) |
0.310669 | − | 0.950518i | \(-0.399447\pi\) | |||||||
\(854\) | −10.6888 | − | 32.1092i | −0.365762 | − | 1.09875i | ||||
\(855\) | 2.84545 | − | 1.82866i | 0.0973123 | − | 0.0625388i | ||||
\(856\) | −11.3101 | + | 1.62615i | −0.386572 | + | 0.0555807i | ||||
\(857\) | −3.39135 | + | 5.27704i | −0.115846 | + | 0.180260i | −0.894334 | − | 0.447399i | \(-0.852350\pi\) |
0.778488 | + | 0.627659i | \(0.215987\pi\) | |||||||
\(858\) | 8.09181 | + | 3.69540i | 0.276250 | + | 0.126159i | ||||
\(859\) | 3.39223 | + | 2.93938i | 0.115741 | + | 0.100290i | 0.710809 | − | 0.703385i | \(-0.248329\pi\) |
−0.595067 | + | 0.803676i | \(0.702875\pi\) | |||||||
\(860\) | 13.3638 | + | 1.92143i | 0.455703 | + | 0.0655201i | ||||
\(861\) | 0.776506 | + | 21.7110i | 0.0264632 | + | 0.739910i | ||||
\(862\) | 6.04406 | − | 20.5842i | 0.205861 | − | 0.701100i | ||||
\(863\) | 0.321975 | + | 0.0945405i | 0.0109602 | + | 0.00321820i | 0.287208 | − | 0.957868i | \(-0.407273\pi\) |
−0.276248 | + | 0.961086i | \(0.589091\pi\) | |||||||
\(864\) | 0.909632 | − | 0.415415i | 0.0309463 | − | 0.0141327i | ||||
\(865\) | −56.8653 | − | 8.17600i | −1.93348 | − | 0.277992i | ||||
\(866\) | 4.80125 | − | 5.54094i | 0.163153 | − | 0.188289i | ||||
\(867\) | 24.9481 | + | 11.3934i | 0.847280 | + | 0.386940i | ||||
\(868\) | 6.44220 | − | 4.47338i | 0.218663 | − | 0.151836i | ||||
\(869\) | 0.176730 | + | 1.22918i | 0.00599514 | + | 0.0416971i | ||||
\(870\) | −6.45210 | − | 10.0397i | −0.218747 | − | 0.340377i | ||||
\(871\) | 7.20868 | + | 8.31926i | 0.244257 | + | 0.281887i | ||||
\(872\) | −1.19399 | − | 4.06635i | −0.0404336 | − | 0.137704i | ||||
\(873\) | −11.6772 | −0.395214 | ||||||||
\(874\) | 6.66223 | + | 1.12011i | 0.225353 | + | 0.0378884i | ||||
\(875\) | 24.8542 | + | 10.2935i | 0.840225 | + | 0.347983i | ||||
\(876\) | −12.9180 | + | 3.79306i | −0.436458 | + | 0.128156i | ||||
\(877\) | 12.5415 | + | 14.4737i | 0.423498 | + | 0.488742i | 0.926899 | − | 0.375310i | \(-0.122464\pi\) |
−0.503402 | + | 0.864053i | \(0.667918\pi\) | |||||||
\(878\) | −15.6836 | − | 24.4041i | −0.529294 | − | 0.823598i | ||||
\(879\) | 15.5769 | − | 2.23962i | 0.525396 | − | 0.0755406i | ||||
\(880\) | 3.19308 | − | 4.96852i | 0.107639 | − | 0.167489i | ||||
\(881\) | 14.6211 | − | 32.0157i | 0.492596 | − | 1.07864i | −0.486209 | − | 0.873842i | \(-0.661621\pi\) |
0.978805 | − | 0.204793i | \(-0.0656520\pi\) | |||||||
\(882\) | 6.98211 | − | 0.500077i | 0.235100 | − | 0.0168385i | ||||
\(883\) | −7.11509 | + | 49.4865i | −0.239442 | + | 1.66535i | 0.415438 | + | 0.909621i | \(0.363628\pi\) |
−0.654880 | + | 0.755733i | \(0.727281\pi\) | |||||||
\(884\) | −21.9271 | + | 10.0138i | −0.737489 | + | 0.336800i | ||||
\(885\) | 12.6739 | + | 3.72140i | 0.426029 | + | 0.125094i | ||||
\(886\) | −23.6851 | − | 6.95459i | −0.795718 | − | 0.233644i | ||||
\(887\) | −9.25810 | + | 4.22803i | −0.310857 | + | 0.141963i | −0.564734 | − | 0.825273i | \(-0.691021\pi\) |
0.253877 | + | 0.967236i | \(0.418294\pi\) | |||||||
\(888\) | −0.443787 | + | 3.08660i | −0.0148925 | + | 0.103580i | ||||
\(889\) | 25.4392 | − | 12.7355i | 0.853202 | − | 0.427136i | ||||
\(890\) | −4.46030 | + | 9.76670i | −0.149510 | + | 0.327381i | ||||
\(891\) | −1.32982 | + | 2.06925i | −0.0445508 | + | 0.0693223i | ||||
\(892\) | 7.71654 | − | 1.10947i | 0.258369 | − | 0.0371479i | ||||
\(893\) | 3.39125 | + | 5.27688i | 0.113484 | + | 0.176584i | ||||
\(894\) | 8.08978 | + | 9.33610i | 0.270563 | + | 0.312246i | ||||
\(895\) | 49.9350 | − | 14.6622i | 1.66914 | − | 0.490105i | ||||
\(896\) | 2.44441 | + | 1.01236i | 0.0816619 | + | 0.0338206i | ||||
\(897\) | −17.2217 | + | 2.05960i | −0.575014 | + | 0.0687680i | ||||
\(898\) | −23.2416 | −0.775583 | ||||||||
\(899\) | 4.15096 | + | 14.1369i | 0.138442 | + | 0.471492i | ||||
\(900\) | 0.501239 | + | 0.578461i | 0.0167080 | + | 0.0192820i | ||||
\(901\) | −31.5342 | − | 49.0682i | −1.05056 | − | 1.63470i | ||||
\(902\) | −2.87438 | − | 19.9918i | −0.0957064 | − | 0.665653i | ||||
\(903\) | −8.48516 | − | 12.2196i | −0.282368 | − | 0.406644i | ||||
\(904\) | −0.178725 | − | 0.0816208i | −0.00594429 | − | 0.00271467i | ||||
\(905\) | 9.51860 | − | 10.9850i | 0.316409 | − | 0.365155i | ||||
\(906\) | −7.05948 | − | 1.01500i | −0.234535 | − | 0.0337211i | ||||
\(907\) | 13.3030 | − | 6.07526i | 0.441718 | − | 0.201726i | −0.182125 | − | 0.983275i | \(-0.558298\pi\) |
0.623843 | + | 0.781550i | \(0.285570\pi\) | |||||||
\(908\) | −9.95945 | − | 2.92436i | −0.330516 | − | 0.0970483i | ||||
\(909\) | −0.643494 | + | 2.19154i | −0.0213434 | + | 0.0726888i | ||||
\(910\) | −22.9605 | + | 0.821194i | −0.761133 | + | 0.0272223i | ||||
\(911\) | 5.16583 | + | 0.742734i | 0.171152 | + | 0.0246079i | 0.227358 | − | 0.973811i | \(-0.426991\pi\) |
−0.0562062 | + | 0.998419i | \(0.517900\pi\) | |||||||
\(912\) | −1.06460 | − | 0.922482i | −0.0352525 | − | 0.0305464i | ||||
\(913\) | 0.665680 | + | 0.304006i | 0.0220308 | + | 0.0100611i | ||||
\(914\) | −9.41068 | + | 14.6433i | −0.311278 | + | 0.484357i | ||||
\(915\) | −30.4000 | + | 4.37086i | −1.00499 | + | 0.144496i | ||||
\(916\) | −0.471384 | + | 0.302940i | −0.0155750 | + | 0.0100094i | ||||
\(917\) | 37.8082 | − | 12.5859i | 1.24854 | − | 0.415623i | ||||
\(918\) | −1.87784 | − | 6.39533i | −0.0619779 | − | 0.211077i | ||||
\(919\) | − | 29.5946i | − | 0.976237i | −0.872777 | − | 0.488118i | \(-0.837683\pi\) | ||
0.872777 | − | 0.488118i | \(-0.162317\pi\) | |||||||
\(920\) | −0.273713 | + | 11.5121i | −0.00902404 | + | 0.379544i | ||||
\(921\) | −8.97547 | −0.295752 | ||||||||
\(922\) | 9.14080 | + | 31.1307i | 0.301036 | + | 1.02524i | ||||
\(923\) | 42.3916 | − | 36.7326i | 1.39534 | − | 1.20907i | ||||
\(924\) | −6.40434 | + | 1.15580i | −0.210687 | + | 0.0380231i | ||||
\(925\) | −2.36253 | + | 0.339680i | −0.0776794 | + | 0.0111686i | ||||
\(926\) | 21.0755 | + | 13.5444i | 0.692584 | + | 0.445096i | ||||
\(927\) | −2.65461 | + | 5.81279i | −0.0871889 | + | 0.190917i | ||||
\(928\) | −3.25481 | + | 3.75626i | −0.106845 | + | 0.123305i | ||||
\(929\) | −9.15093 | − | 1.31570i | −0.300232 | − | 0.0431669i | −0.00944746 | − | 0.999955i | \(-0.503007\pi\) |
−0.290785 | + | 0.956788i | \(0.593916\pi\) | |||||||
\(930\) | −2.95687 | − | 6.47464i | −0.0969596 | − | 0.212312i | ||||
\(931\) | −4.72659 | − | 8.65404i | −0.154908 | − | 0.283625i | ||||
\(932\) | 1.39984 | + | 0.411029i | 0.0458532 | + | 0.0134637i | ||||
\(933\) | −4.57099 | − | 10.0091i | −0.149648 | − | 0.327682i | ||||
\(934\) | −4.99349 | + | 34.7305i | −0.163392 | + | 1.13642i | ||||
\(935\) | −29.7509 | − | 25.7793i | −0.972957 | − | 0.843072i | ||||
\(936\) | 3.28973 | + | 1.50237i | 0.107528 | + | 0.0491065i | ||||
\(937\) | −36.7655 | − | 23.6277i | −1.20108 | − | 0.771884i | −0.221934 | − | 0.975062i | \(-0.571237\pi\) |
−0.979142 | + | 0.203177i | \(0.934873\pi\) | |||||||
\(938\) | −7.80301 | − | 1.99118i | −0.254777 | − | 0.0650144i | ||||
\(939\) | 2.93382 | + | 4.56512i | 0.0957417 | + | 0.148977i | ||||
\(940\) | −8.08044 | + | 7.00174i | −0.263555 | + | 0.228371i | ||||
\(941\) | −26.7261 | + | 7.84750i | −0.871247 | + | 0.255821i | −0.686646 | − | 0.726992i | \(-0.740918\pi\) |
−0.184601 | + | 0.982813i | \(0.559099\pi\) | |||||||
\(942\) | 4.65777i | 0.151758i | ||||||||
\(943\) | 25.0736 | + | 30.3658i | 0.816507 | + | 0.988846i | ||||
\(944\) | − | 5.50116i | − | 0.179048i | ||||||
\(945\) | 0.678764 | − | 6.31642i | 0.0220802 | − | 0.205473i | ||||
\(946\) | 9.05717 | + | 10.4525i | 0.294474 | + | 0.339841i | ||||
\(947\) | 22.7703 | − | 14.6336i | 0.739935 | − | 0.475527i | −0.115585 | − | 0.993298i | \(-0.536874\pi\) |
0.855520 | + | 0.517770i | \(0.173238\pi\) | |||||||
\(948\) | 0.0718495 | + | 0.499725i | 0.00233356 | + | 0.0162303i | ||||
\(949\) | −40.9614 | − | 26.3243i | −1.32966 | − | 0.854522i | ||||
\(950\) | 0.447906 | − | 0.980777i | 0.0145320 | − | 0.0318206i | ||||
\(951\) | 3.93403 | + | 3.40886i | 0.127570 | + | 0.110540i | ||||
\(952\) | 8.99774 | − | 15.1666i | 0.291618 | − | 0.491553i | ||||
\(953\) | −41.4223 | + | 18.9169i | −1.34180 | + | 0.612780i | −0.951426 | − | 0.307876i | \(-0.900382\pi\) |
−0.390375 | + | 0.920656i | \(0.627654\pi\) | |||||||
\(954\) | −2.46541 | + | 8.39641i | −0.0798205 | + | 0.271844i | ||||
\(955\) | 9.54569 | − | 32.5096i | 0.308891 | − | 1.05199i | ||||
\(956\) | 11.6569 | + | 25.5250i | 0.377011 | + | 0.825539i | ||||
\(957\) | 1.73985 | − | 12.1009i | 0.0562415 | − | 0.391168i | ||||
\(958\) | 1.14855 | − | 1.32549i | 0.0371079 | − | 0.0428248i | ||||
\(959\) | 6.88041 | + | 7.38933i | 0.222180 | + | 0.238614i | ||||
\(960\) | 1.29815 | − | 2.01996i | 0.0418975 | − | 0.0651938i | ||||
\(961\) | −3.16116 | − | 21.9863i | −0.101973 | − | 0.709236i | ||||
\(962\) | −9.48737 | + | 6.09716i | −0.305885 | + | 0.196580i | ||||
\(963\) | 8.63552 | − | 7.48272i | 0.278276 | − | 0.241127i | ||||
\(964\) | 17.5219 | − | 5.14489i | 0.564342 | − | 0.165706i | ||||
\(965\) | −35.6185 | −1.14660 | ||||||||
\(966\) | 9.48917 | − | 8.42352i | 0.305309 | − | 0.271022i | ||||
\(967\) | 42.1518 | 1.35551 | 0.677756 | − | 0.735287i | \(-0.262953\pi\) | ||||
0.677756 | + | 0.735287i | \(0.262953\pi\) | |||||||
\(968\) | −4.74929 | + | 1.39452i | −0.152648 | + | 0.0448215i | ||||
\(969\) | −7.09591 | + | 6.14864i | −0.227953 | + | 0.197523i | ||||
\(970\) | −23.5875 | + | 15.1588i | −0.757349 | + | 0.486718i | ||||
\(971\) | 6.74819 | + | 46.9347i | 0.216560 | + | 1.50621i | 0.750605 | + | 0.660751i | \(0.229762\pi\) |
−0.534046 | + | 0.845456i | \(0.679329\pi\) | |||||||
\(972\) | −0.540641 | + | 0.841254i | −0.0173411 | + | 0.0269832i | ||||
\(973\) | 32.3445 | + | 34.7370i | 1.03692 | + | 1.11362i | ||||
\(974\) | −27.9982 | + | 32.3117i | −0.897121 | + | 1.03533i | ||||
\(975\) | −0.393950 | + | 2.73998i | −0.0126165 | + | 0.0877496i | ||||
\(976\) | 5.31353 | + | 11.6350i | 0.170082 | + | 0.372428i | ||||
\(977\) | 3.80492 | − | 12.9584i | 0.121730 | − | 0.414575i | −0.875969 | − | 0.482367i | \(-0.839777\pi\) |
0.997699 | + | 0.0677921i | \(0.0215955\pi\) | |||||||
\(978\) | 4.00198 | − | 13.6295i | 0.127969 | − | 0.435823i | ||||
\(979\) | −10.0050 | + | 4.56914i | −0.319762 | + | 0.146030i | ||||
\(980\) | 13.4544 | − | 10.0739i | 0.429785 | − | 0.321801i | ||||
\(981\) | 3.20288 | + | 2.77531i | 0.102260 | + | 0.0886090i | ||||
\(982\) | −1.63640 | + | 3.58321i | −0.0522196 | + | 0.114345i | ||||
\(983\) | −0.0919855 | − | 0.0591155i | −0.00293388 | − | 0.00188549i | 0.539173 | − | 0.842195i | \(-0.318737\pi\) |
−0.542107 | + | 0.840310i | \(0.682373\pi\) | |||||||
\(984\) | −1.16858 | − | 8.12767i | −0.0372530 | − | 0.259101i | ||||
\(985\) | 55.2084 | − | 35.4803i | 1.75909 | − | 1.13050i | ||||
\(986\) | 21.6944 | + | 25.0367i | 0.690890 | + | 0.797330i | ||||
\(987\) | 11.7138 | + | 1.25877i | 0.372854 | + | 0.0400670i | ||||
\(988\) | − | 5.09452i | − | 0.162078i | ||||||
\(989\) | −25.6862 | − | 8.21017i | −0.816772 | − | 0.261068i | ||||
\(990\) | 5.90609i | 0.187708i | ||||||||
\(991\) | 43.7183 | − | 12.8369i | 1.38876 | − | 0.407776i | 0.499950 | − | 0.866055i | \(-0.333352\pi\) |
0.888809 | + | 0.458278i | \(0.151534\pi\) | |||||||
\(992\) | −2.24033 | + | 1.94126i | −0.0711307 | + | 0.0616351i | ||||
\(993\) | 17.6643 | + | 27.4862i | 0.560560 | + | 0.872249i | ||||
\(994\) | −10.1463 | + | 39.7611i | −0.321820 | + | 1.26114i | ||||
\(995\) | 9.95009 | + | 6.39454i | 0.315439 | + | 0.202720i | ||||
\(996\) | 0.270633 | + | 0.123594i | 0.00857533 | + | 0.00391622i | ||||
\(997\) | 12.1046 | + | 10.4887i | 0.383355 | + | 0.332179i | 0.825126 | − | 0.564949i | \(-0.191104\pi\) |
−0.441771 | + | 0.897128i | \(0.645650\pi\) | |||||||
\(998\) | 1.65658 | − | 11.5218i | 0.0524382 | − | 0.364716i | ||||
\(999\) | −1.29541 | − | 2.83655i | −0.0409849 | − | 0.0897444i |
(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 | 966.2.s.a.727.15 | yes | 160 | |
7.6 | odd | 2 | inner | 966.2.s.a.727.2 | yes | 160 | |
23.5 | odd | 22 | inner | 966.2.s.a.97.2 | ✓ | 160 | |
161.97 | even | 22 | inner | 966.2.s.a.97.15 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.a.97.2 | ✓ | 160 | 23.5 | odd | 22 | inner | |
966.2.s.a.97.15 | yes | 160 | 161.97 | even | 22 | inner | |
966.2.s.a.727.2 | yes | 160 | 7.6 | odd | 2 | inner | |
966.2.s.a.727.15 | yes | 160 | 1.1 | even | 1 | trivial |