Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 61.9 | ||
Character | \(\chi\) | \(=\) | 144.61 |
Dual form | 144.2.x.e.85.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.174715 | − | 1.40338i | −0.123542 | − | 0.992339i | ||||
\(3\) | −1.22967 | − | 1.21980i | −0.709952 | − | 0.704250i | ||||
\(4\) | −1.93895 | + | 0.490384i | −0.969475 | + | 0.245192i | ||||
\(5\) | 0.174734 | + | 0.0468197i | 0.0781432 | + | 0.0209384i | 0.297679 | − | 0.954666i | \(-0.403788\pi\) |
−0.219536 | + | 0.975604i | \(0.570454\pi\) | |||||||
\(6\) | −1.49700 | + | 1.93881i | −0.611146 | + | 0.791518i | ||||
\(7\) | −4.04791 | − | 2.33706i | −1.52997 | − | 0.883327i | −0.999362 | − | 0.0357075i | \(-0.988632\pi\) |
−0.530605 | − | 0.847619i | \(-0.678035\pi\) | |||||||
\(8\) | 1.02696 | + | 2.63540i | 0.363085 | + | 0.931756i | ||||
\(9\) | 0.0241875 | + | 2.99990i | 0.00806251 | + | 0.999967i | ||||
\(10\) | 0.0351772 | − | 0.253398i | 0.0111240 | − | 0.0801314i | ||||
\(11\) | 0.160430 | + | 0.598734i | 0.0483716 | + | 0.180525i | 0.985885 | − | 0.167424i | \(-0.0535449\pi\) |
−0.937513 | + | 0.347949i | \(0.886878\pi\) | |||||||
\(12\) | 2.98244 | + | 1.76211i | 0.860957 | + | 0.508679i | ||||
\(13\) | 1.18229 | − | 4.41237i | 0.327909 | − | 1.22377i | −0.583446 | − | 0.812152i | \(-0.698296\pi\) |
0.911355 | − | 0.411621i | \(-0.135037\pi\) | |||||||
\(14\) | −2.57255 | + | 6.08908i | −0.687544 | + | 1.62737i | ||||
\(15\) | −0.157754 | − | 0.270713i | −0.0407320 | − | 0.0698977i | ||||
\(16\) | 3.51905 | − | 1.90166i | 0.879762 | − | 0.475415i | ||||
\(17\) | −4.34691 | −1.05428 | −0.527141 | − | 0.849778i | \(-0.676736\pi\) | ||||
−0.527141 | + | 0.849778i | \(0.676736\pi\) | |||||||
\(18\) | 4.20578 | − | 0.558073i | 0.991311 | − | 0.131539i | ||||
\(19\) | −1.23918 | − | 1.23918i | −0.284287 | − | 0.284287i | 0.550529 | − | 0.834816i | \(-0.314426\pi\) |
−0.834816 | + | 0.550529i | \(0.814426\pi\) | |||||||
\(20\) | −0.361759 | − | 0.00509454i | −0.0808918 | − | 0.00113917i | ||||
\(21\) | 2.12686 | + | 7.81146i | 0.464119 | + | 1.70460i | ||||
\(22\) | 0.812222 | − | 0.329753i | 0.173166 | − | 0.0703035i | ||||
\(23\) | 3.86311 | − | 2.23037i | 0.805515 | − | 0.465064i | −0.0398812 | − | 0.999204i | \(-0.512698\pi\) |
0.845396 | + | 0.534140i | \(0.179365\pi\) | |||||||
\(24\) | 1.95184 | − | 4.49337i | 0.398417 | − | 0.917204i | ||||
\(25\) | −4.30179 | − | 2.48364i | −0.860357 | − | 0.496728i | ||||
\(26\) | −6.39880 | − | 0.888296i | −1.25491 | − | 0.174209i | ||||
\(27\) | 3.62953 | − | 3.71840i | 0.698504 | − | 0.715607i | ||||
\(28\) | 8.99475 | + | 2.54642i | 1.69985 | + | 0.481227i | ||||
\(29\) | 8.64910 | − | 2.31752i | 1.60610 | − | 0.430353i | 0.659221 | − | 0.751949i | \(-0.270886\pi\) |
0.946877 | + | 0.321597i | \(0.104220\pi\) | |||||||
\(30\) | −0.352350 | + | 0.268687i | −0.0643301 | + | 0.0490553i | ||||
\(31\) | −2.25376 | − | 3.90364i | −0.404788 | − | 0.701114i | 0.589509 | − | 0.807762i | \(-0.299321\pi\) |
−0.994297 | + | 0.106648i | \(0.965988\pi\) | |||||||
\(32\) | −3.28358 | − | 4.60631i | −0.580460 | − | 0.814288i | ||||
\(33\) | 0.533058 | − | 0.931939i | 0.0927935 | − | 0.162230i | ||||
\(34\) | 0.759472 | + | 6.10037i | 0.130248 | + | 1.04620i | ||||
\(35\) | −0.597886 | − | 0.597886i | −0.101061 | − | 0.101061i | ||||
\(36\) | −1.51800 | − | 5.80480i | −0.253000 | − | 0.967466i | ||||
\(37\) | 2.79692 | − | 2.79692i | 0.459811 | − | 0.459811i | −0.438783 | − | 0.898593i | \(-0.644590\pi\) |
0.898593 | + | 0.438783i | \(0.144590\pi\) | |||||||
\(38\) | −1.52254 | + | 1.95554i | −0.246988 | + | 0.317231i | ||||
\(39\) | −6.83604 | + | 3.98362i | −1.09464 | + | 0.637889i | ||||
\(40\) | 0.0560553 | + | 0.508576i | 0.00886312 | + | 0.0804129i | ||||
\(41\) | −3.67211 | + | 2.12009i | −0.573487 | + | 0.331103i | −0.758541 | − | 0.651626i | \(-0.774087\pi\) |
0.185054 | + | 0.982728i | \(0.440754\pi\) | |||||||
\(42\) | 10.5908 | − | 4.34957i | 1.63420 | − | 0.671154i | ||||
\(43\) | 0.00351694 | + | 0.0131254i | 0.000536329 | + | 0.00200161i | 0.966193 | − | 0.257818i | \(-0.0830035\pi\) |
−0.965657 | + | 0.259820i | \(0.916337\pi\) | |||||||
\(44\) | −0.604676 | − | 1.08224i | −0.0911583 | − | 0.163154i | ||||
\(45\) | −0.136228 | + | 0.525316i | −0.0203077 | + | 0.0783095i | ||||
\(46\) | −3.80500 | − | 5.03173i | −0.561017 | − | 0.741889i | ||||
\(47\) | −1.17465 | + | 2.03456i | −0.171341 | + | 0.296771i | −0.938889 | − | 0.344221i | \(-0.888143\pi\) |
0.767548 | + | 0.640991i | \(0.221477\pi\) | |||||||
\(48\) | −6.64691 | − | 1.95411i | −0.959399 | − | 0.282051i | ||||
\(49\) | 7.42373 | + | 12.8583i | 1.06053 | + | 1.83690i | ||||
\(50\) | −2.73390 | + | 6.47097i | −0.386632 | + | 0.915133i | ||||
\(51\) | 5.34528 | + | 5.30235i | 0.748489 | + | 0.742478i | ||||
\(52\) | −0.128647 | + | 9.13515i | −0.0178402 | + | 1.26682i | ||||
\(53\) | −0.519418 | + | 0.519418i | −0.0713476 | + | 0.0713476i | −0.741880 | − | 0.670533i | \(-0.766066\pi\) |
0.670533 | + | 0.741880i | \(0.266066\pi\) | |||||||
\(54\) | −5.85246 | − | 4.44395i | −0.796419 | − | 0.604745i | ||||
\(55\) | 0.112130i | 0.0151196i | ||||||||
\(56\) | 2.00207 | − | 13.0680i | 0.267538 | − | 1.74628i | ||||
\(57\) | 0.0122364 | + | 3.03533i | 0.00162075 | + | 0.402040i | ||||
\(58\) | −4.76349 | − | 11.7331i | −0.625477 | − | 1.54063i | ||||
\(59\) | 11.0349 | + | 2.95679i | 1.43662 | + | 0.384942i | 0.891350 | − | 0.453317i | \(-0.149759\pi\) |
0.545273 | + | 0.838258i | \(0.316426\pi\) | |||||||
\(60\) | 0.438631 | + | 0.447538i | 0.0566270 | + | 0.0577769i | ||||
\(61\) | −2.19745 | + | 0.588805i | −0.281355 | + | 0.0753887i | −0.396737 | − | 0.917932i | \(-0.629857\pi\) |
0.115382 | + | 0.993321i | \(0.463191\pi\) | |||||||
\(62\) | −5.08451 | + | 3.84491i | −0.645734 | + | 0.488304i | ||||
\(63\) | 6.91305 | − | 12.1999i | 0.870963 | − | 1.53704i | ||||
\(64\) | −5.89071 | + | 5.41290i | −0.736339 | + | 0.676613i | ||||
\(65\) | 0.413172 | − | 0.715636i | 0.0512477 | − | 0.0887637i | ||||
\(66\) | −1.40100 | − | 0.585258i | −0.172451 | − | 0.0720403i | ||||
\(67\) | −1.88714 | + | 7.04291i | −0.230551 | + | 0.860428i | 0.749553 | + | 0.661944i | \(0.230268\pi\) |
−0.980104 | + | 0.198484i | \(0.936398\pi\) | |||||||
\(68\) | 8.42844 | − | 2.13166i | 1.02210 | − | 0.258501i | ||||
\(69\) | −7.47096 | − | 1.96959i | −0.899398 | − | 0.237111i | ||||
\(70\) | −0.734601 | + | 0.943520i | −0.0878016 | + | 0.112772i | ||||
\(71\) | 7.55145i | 0.896193i | 0.893985 | + | 0.448096i | \(0.147898\pi\) | ||||
−0.893985 | + | 0.448096i | \(0.852102\pi\) | |||||||
\(72\) | −7.88112 | + | 3.14452i | −0.928798 | + | 0.370585i | ||||
\(73\) | 2.92707i | 0.342588i | 0.985220 | + | 0.171294i | \(0.0547948\pi\) | ||||
−0.985220 | + | 0.171294i | \(0.945205\pi\) | |||||||
\(74\) | −4.41380 | − | 3.43647i | −0.513094 | − | 0.399482i | ||||
\(75\) | 2.26025 | + | 8.30137i | 0.260991 | + | 0.958560i | ||||
\(76\) | 3.01038 | + | 1.79503i | 0.345314 | + | 0.205904i | ||||
\(77\) | 0.749872 | − | 2.79856i | 0.0854558 | − | 0.318925i | ||||
\(78\) | 6.78489 | + | 8.89756i | 0.768237 | + | 1.00745i | ||||
\(79\) | 1.45885 | − | 2.52680i | 0.164133 | − | 0.284287i | −0.772214 | − | 0.635362i | \(-0.780851\pi\) |
0.936347 | + | 0.351076i | \(0.114184\pi\) | |||||||
\(80\) | 0.703931 | − | 0.167523i | 0.0787019 | − | 0.0187296i | ||||
\(81\) | −8.99883 | + | 0.145120i | −0.999870 | + | 0.0161245i | ||||
\(82\) | 3.61687 | + | 4.78295i | 0.399416 | + | 0.528188i | ||||
\(83\) | −7.44148 | + | 1.99394i | −0.816808 | + | 0.218863i | −0.642950 | − | 0.765908i | \(-0.722290\pi\) |
−0.173858 | + | 0.984771i | \(0.555623\pi\) | |||||||
\(84\) | −7.95449 | − | 14.1030i | −0.867906 | − | 1.53877i | ||||
\(85\) | −0.759552 | − | 0.203521i | −0.0823850 | − | 0.0220750i | ||||
\(86\) | 0.0178055 | − | 0.00722882i | 0.00192001 | − | 0.000779503i | ||||
\(87\) | −13.4625 | − | 7.70036i | −1.44333 | − | 0.825566i | ||||
\(88\) | −1.41315 | + | 1.03767i | −0.150642 | + | 0.110616i | ||||
\(89\) | − | 3.18821i | − | 0.337950i | −0.985620 | − | 0.168975i | \(-0.945954\pi\) | ||
0.985620 | − | 0.168975i | \(-0.0540457\pi\) | |||||||
\(90\) | 0.761019 | + | 0.0993992i | 0.0802185 | + | 0.0104776i | ||||
\(91\) | −15.0978 | + | 15.0978i | −1.58268 | + | 1.58268i | ||||
\(92\) | −6.39664 | + | 6.21898i | −0.666896 | + | 0.648373i | ||||
\(93\) | −1.99025 | + | 7.54933i | −0.206380 | + | 0.782829i | ||||
\(94\) | 3.06049 | + | 1.29301i | 0.315665 | + | 0.133364i | ||||
\(95\) | −0.158508 | − | 0.274544i | −0.0162626 | − | 0.0281676i | ||||
\(96\) | −1.58104 | + | 9.66956i | −0.161364 | + | 0.986895i | ||||
\(97\) | 8.03868 | − | 13.9234i | 0.816204 | − | 1.41371i | −0.0922553 | − | 0.995735i | \(-0.529408\pi\) |
0.908460 | − | 0.417972i | \(-0.137259\pi\) | |||||||
\(98\) | 16.7480 | − | 12.6648i | 1.69180 | − | 1.27934i | ||||
\(99\) | −1.79226 | + | 0.495757i | −0.180129 | + | 0.0498255i | ||||
\(100\) | 9.55888 | + | 2.70612i | 0.955888 | + | 0.270612i | ||||
\(101\) | −4.56339 | − | 17.0308i | −0.454074 | − | 1.69463i | −0.690795 | − | 0.723051i | \(-0.742739\pi\) |
0.236720 | − | 0.971578i | \(-0.423928\pi\) | |||||||
\(102\) | 6.50731 | − | 8.42786i | 0.644320 | − | 0.834482i | ||||
\(103\) | 8.05916 | − | 4.65296i | 0.794093 | − | 0.458470i | −0.0473086 | − | 0.998880i | \(-0.515064\pi\) |
0.841401 | + | 0.540411i | \(0.181731\pi\) | |||||||
\(104\) | 12.8426 | − | 1.41551i | 1.25932 | − | 0.138802i | ||||
\(105\) | 0.00590388 | + | 1.46450i | 0.000576159 | + | 0.142921i | ||||
\(106\) | 0.819691 | + | 0.638191i | 0.0796155 | + | 0.0619866i | ||||
\(107\) | 9.51927 | − | 9.51927i | 0.920263 | − | 0.920263i | −0.0767848 | − | 0.997048i | \(-0.524465\pi\) |
0.997048 | + | 0.0767848i | \(0.0244654\pi\) | |||||||
\(108\) | −5.21403 | + | 8.98965i | −0.501721 | + | 0.865030i | ||||
\(109\) | −6.35255 | − | 6.35255i | −0.608464 | − | 0.608464i | 0.334081 | − | 0.942544i | \(-0.391574\pi\) |
−0.942544 | + | 0.334081i | \(0.891574\pi\) | |||||||
\(110\) | 0.157361 | − | 0.0195909i | 0.0150038 | − | 0.00186792i | ||||
\(111\) | −6.85097 | + | 0.0276184i | −0.650265 | + | 0.00262143i | ||||
\(112\) | −18.6891 | − | 0.526489i | −1.76595 | − | 0.0497486i | ||||
\(113\) | 5.34598 | + | 9.25951i | 0.502908 | + | 0.871062i | 0.999994 | + | 0.00336088i | \(0.00106980\pi\) |
−0.497087 | + | 0.867701i | \(0.665597\pi\) | |||||||
\(114\) | 4.25759 | − | 0.547491i | 0.398759 | − | 0.0512773i | ||||
\(115\) | 0.779441 | − | 0.208851i | 0.0726832 | − | 0.0194754i | ||||
\(116\) | −15.6337 | + | 8.73493i | −1.45155 | + | 0.811018i | ||||
\(117\) | 13.2653 | + | 3.44004i | 1.22638 | + | 0.318032i | ||||
\(118\) | 2.22154 | − | 16.0028i | 0.204509 | − | 1.47317i | ||||
\(119\) | 17.5959 | + | 10.1590i | 1.61302 | + | 0.931275i | ||||
\(120\) | 0.551430 | − | 0.693757i | 0.0503384 | − | 0.0633311i | ||||
\(121\) | 9.19353 | − | 5.30789i | 0.835776 | − | 0.482535i | ||||
\(122\) | 1.21024 | + | 2.98098i | 0.109570 | + | 0.269885i | ||||
\(123\) | 7.10157 | + | 1.87221i | 0.640327 | + | 0.168811i | ||||
\(124\) | 6.28421 | + | 6.46374i | 0.564339 | + | 0.580461i | ||||
\(125\) | −1.27495 | − | 1.27495i | −0.114035 | − | 0.114035i | ||||
\(126\) | −18.3289 | − | 7.57013i | −1.63287 | − | 0.674401i | ||||
\(127\) | −11.5283 | −1.02297 | −0.511484 | − | 0.859293i | \(-0.670904\pi\) | ||||
−0.511484 | + | 0.859293i | \(0.670904\pi\) | |||||||
\(128\) | 8.62556 | + | 7.32119i | 0.762399 | + | 0.647108i | ||||
\(129\) | 0.0116857 | − | 0.0204299i | 0.00102886 | − | 0.00179875i | ||||
\(130\) | −1.07650 | − | 0.454805i | −0.0944149 | − | 0.0398891i | ||||
\(131\) | 0.917160 | − | 3.42289i | 0.0801327 | − | 0.299059i | −0.914215 | − | 0.405229i | \(-0.867192\pi\) |
0.994348 | + | 0.106169i | \(0.0338586\pi\) | |||||||
\(132\) | −0.576564 | + | 2.06839i | −0.0501835 | + | 0.180030i | ||||
\(133\) | 2.12005 | + | 7.91213i | 0.183832 | + | 0.686069i | ||||
\(134\) | 10.2136 | + | 1.41787i | 0.882320 | + | 0.122486i | ||||
\(135\) | 0.808296 | − | 0.479796i | 0.0695670 | − | 0.0412943i | ||||
\(136\) | −4.46410 | − | 11.4559i | −0.382793 | − | 0.982333i | ||||
\(137\) | −13.0194 | − | 7.51678i | −1.11233 | − | 0.642202i | −0.172895 | − | 0.984940i | \(-0.555312\pi\) |
−0.939431 | + | 0.342739i | \(0.888646\pi\) | |||||||
\(138\) | −1.45879 | + | 10.8287i | −0.124181 | + | 0.921801i | ||||
\(139\) | −9.76161 | − | 2.61562i | −0.827969 | − | 0.221854i | −0.180142 | − | 0.983641i | \(-0.557656\pi\) |
−0.647828 | + | 0.761787i | \(0.724322\pi\) | |||||||
\(140\) | 1.45246 | + | 0.866076i | 0.122756 | + | 0.0731968i | ||||
\(141\) | 3.92619 | − | 1.06900i | 0.330645 | − | 0.0900261i | ||||
\(142\) | 10.5976 | − | 1.31935i | 0.889327 | − | 0.110718i | ||||
\(143\) | 2.83152 | 0.236783 | ||||||||
\(144\) | 5.78991 | + | 10.5108i | 0.482492 | + | 0.875900i | ||||
\(145\) | 1.61979 | 0.134517 | ||||||||
\(146\) | 4.10780 | − | 0.511405i | 0.339964 | − | 0.0423242i | ||||
\(147\) | 6.55574 | − | 24.8669i | 0.540708 | − | 2.05099i | ||||
\(148\) | −4.05152 | + | 6.79465i | −0.333033 | + | 0.558516i | ||||
\(149\) | −5.14811 | − | 1.37943i | −0.421749 | − | 0.113007i | 0.0417013 | − | 0.999130i | \(-0.486722\pi\) |
−0.463451 | + | 0.886123i | \(0.653389\pi\) | |||||||
\(150\) | 11.2551 | − | 4.62237i | 0.918973 | − | 0.377415i | ||||
\(151\) | 9.86458 | + | 5.69532i | 0.802768 | + | 0.463479i | 0.844438 | − | 0.535653i | \(-0.179934\pi\) |
−0.0416699 | + | 0.999131i | \(0.513268\pi\) | |||||||
\(152\) | 1.99315 | − | 4.53832i | 0.161666 | − | 0.368107i | ||||
\(153\) | −0.105141 | − | 13.0403i | −0.00850015 | − | 1.05425i | ||||
\(154\) | −4.05846 | − | 0.563404i | −0.327040 | − | 0.0454004i | ||||
\(155\) | −0.211041 | − | 0.787617i | −0.0169512 | − | 0.0632629i | ||||
\(156\) | 11.3012 | − | 11.0763i | 0.904822 | − | 0.886815i | ||||
\(157\) | 1.46607 | − | 5.47145i | 0.117005 | − | 0.436670i | −0.882424 | − | 0.470455i | \(-0.844090\pi\) |
0.999429 | + | 0.0337857i | \(0.0107564\pi\) | |||||||
\(158\) | −3.80094 | − | 1.60584i | −0.302386 | − | 0.127754i | ||||
\(159\) | 1.27230 | − | 0.00512904i | 0.100900 | − | 0.000406760i | ||||
\(160\) | −0.358086 | − | 0.958614i | −0.0283092 | − | 0.0757851i | ||||
\(161\) | −20.8501 | −1.64321 | ||||||||
\(162\) | 1.77589 | + | 12.6034i | 0.139527 | + | 0.990218i | ||||
\(163\) | 15.0117 | + | 15.0117i | 1.17581 | + | 1.17581i | 0.980802 | + | 0.195004i | \(0.0624721\pi\) |
0.195004 | + | 0.980802i | \(0.437528\pi\) | |||||||
\(164\) | 6.08037 | − | 5.91149i | 0.474797 | − | 0.461610i | ||||
\(165\) | 0.136776 | − | 0.137884i | 0.0106480 | − | 0.0107342i | ||||
\(166\) | 4.09839 | + | 10.0948i | 0.318097 | + | 0.783512i | ||||
\(167\) | −7.81918 | + | 4.51441i | −0.605066 | + | 0.349335i | −0.771032 | − | 0.636796i | \(-0.780259\pi\) |
0.165966 | + | 0.986132i | \(0.446926\pi\) | |||||||
\(168\) | −18.4021 | + | 13.6272i | −1.41976 | + | 1.05136i | ||||
\(169\) | −6.81291 | − | 3.93343i | −0.524070 | − | 0.302572i | ||||
\(170\) | −0.152912 | + | 1.10150i | −0.0117278 | + | 0.0844810i | ||||
\(171\) | 3.68744 | − | 3.74739i | 0.281986 | − | 0.286570i | ||||
\(172\) | −0.0132557 | − | 0.0237249i | −0.00101073 | − | 0.00180900i | ||||
\(173\) | 5.00520 | − | 1.34114i | 0.380539 | − | 0.101965i | −0.0634788 | − | 0.997983i | \(-0.520220\pi\) |
0.444017 | + | 0.896018i | \(0.353553\pi\) | |||||||
\(174\) | −8.45444 | + | 20.2383i | −0.640929 | + | 1.53426i | ||||
\(175\) | 11.6088 | + | 20.1071i | 0.877546 | + | 1.51995i | ||||
\(176\) | 1.70315 | + | 1.80189i | 0.128380 | + | 0.135823i | ||||
\(177\) | −9.96263 | − | 17.0962i | −0.748837 | − | 1.28503i | ||||
\(178\) | −4.47427 | + | 0.557029i | −0.335361 | + | 0.0417511i | ||||
\(179\) | 1.96093 | + | 1.96093i | 0.146566 | + | 0.146566i | 0.776582 | − | 0.630016i | \(-0.216952\pi\) |
−0.630016 | + | 0.776582i | \(0.716952\pi\) | |||||||
\(180\) | 0.00653306 | − | 1.08537i | 0.000486946 | − | 0.0808984i | ||||
\(181\) | −0.224256 | + | 0.224256i | −0.0166688 | + | 0.0166688i | −0.715392 | − | 0.698723i | \(-0.753752\pi\) |
0.698723 | + | 0.715392i | \(0.253752\pi\) | |||||||
\(182\) | 23.8258 | + | 18.5501i | 1.76608 | + | 1.37503i | ||||
\(183\) | 3.42037 | + | 1.95641i | 0.252841 | + | 0.144622i | ||||
\(184\) | 9.84518 | + | 7.89037i | 0.725796 | + | 0.581685i | ||||
\(185\) | 0.619667 | − | 0.357765i | 0.0455588 | − | 0.0263034i | ||||
\(186\) | 10.9423 | + | 1.47410i | 0.802329 | + | 0.108086i | ||||
\(187\) | −0.697377 | − | 2.60265i | −0.0509972 | − | 0.190324i | ||||
\(188\) | 1.27988 | − | 4.52093i | 0.0933446 | − | 0.329723i | ||||
\(189\) | −23.3822 | + | 6.56932i | −1.70080 | + | 0.477847i | ||||
\(190\) | −0.357596 | + | 0.270414i | −0.0259427 | + | 0.0196179i | ||||
\(191\) | −10.3893 | + | 17.9947i | −0.751741 | + | 1.30205i | 0.195237 | + | 0.980756i | \(0.437452\pi\) |
−0.946978 | + | 0.321298i | \(0.895881\pi\) | |||||||
\(192\) | 13.8463 | + | 0.529379i | 0.999270 | + | 0.0382047i | ||||
\(193\) | 7.69572 | + | 13.3294i | 0.553950 | + | 0.959469i | 0.997984 | + | 0.0634596i | \(0.0202134\pi\) |
−0.444035 | + | 0.896010i | \(0.646453\pi\) | |||||||
\(194\) | −20.9443 | − | 8.84869i | −1.50371 | − | 0.635299i | ||||
\(195\) | −1.38100 | + | 0.376010i | −0.0988953 | + | 0.0269267i | ||||
\(196\) | −20.6997 | − | 21.2911i | −1.47855 | − | 1.52079i | ||||
\(197\) | −0.905158 | + | 0.905158i | −0.0644898 | + | 0.0644898i | −0.738616 | − | 0.674126i | \(-0.764520\pi\) |
0.674126 | + | 0.738616i | \(0.264520\pi\) | |||||||
\(198\) | 1.00887 | + | 2.42861i | 0.0716974 | + | 0.172594i | ||||
\(199\) | − | 16.5201i | − | 1.17108i | −0.810645 | − | 0.585538i | \(-0.800883\pi\) | ||
0.810645 | − | 0.585538i | \(-0.199117\pi\) | |||||||
\(200\) | 2.12763 | − | 13.8875i | 0.150446 | − | 0.981998i | ||||
\(201\) | 10.9115 | − | 6.35854i | 0.769637 | − | 0.448497i | ||||
\(202\) | −23.1034 | + | 9.37971i | −1.62555 | + | 0.659954i | ||||
\(203\) | −40.4270 | − | 10.8324i | −2.83742 | − | 0.760284i | ||||
\(204\) | −12.9644 | − | 7.65976i | −0.907690 | − | 0.536290i | ||||
\(205\) | −0.740902 | + | 0.198524i | −0.0517469 | + | 0.0138655i | ||||
\(206\) | −7.93793 | − | 10.4971i | −0.553062 | − | 0.731369i | ||||
\(207\) | 6.78433 | + | 11.5350i | 0.471543 | + | 0.801739i | ||||
\(208\) | −4.23029 | − | 17.7757i | −0.293318 | − | 1.23252i | ||||
\(209\) | 0.543137 | − | 0.940741i | 0.0375696 | − | 0.0650724i | ||||
\(210\) | 2.05422 | − | 0.264156i | 0.141755 | − | 0.0182285i | ||||
\(211\) | 6.75305 | − | 25.2027i | 0.464899 | − | 1.73503i | −0.192325 | − | 0.981331i | \(-0.561603\pi\) |
0.657224 | − | 0.753695i | \(-0.271730\pi\) | |||||||
\(212\) | 0.752411 | − | 1.26184i | 0.0516758 | − | 0.0866635i | ||||
\(213\) | 9.21125 | − | 9.28581i | 0.631144 | − | 0.636253i | ||||
\(214\) | −15.0223 | − | 11.6960i | −1.02690 | − | 0.799522i | ||||
\(215\) | 0.00245811i | 0.000167642i | ||||||||
\(216\) | 13.5269 | + | 5.74664i | 0.920387 | + | 0.391009i | ||||
\(217\) | 21.0688i | 1.43024i | ||||||||
\(218\) | −7.80515 | + | 10.0249i | −0.528631 | + | 0.678974i | ||||
\(219\) | 3.57044 | − | 3.59934i | 0.241268 | − | 0.243221i | ||||
\(220\) | −0.0549869 | − | 0.217415i | −0.00370721 | − | 0.0146581i | ||||
\(221\) | −5.13932 | + | 19.1802i | −0.345708 | + | 1.29020i | ||||
\(222\) | 1.23573 | + | 9.60968i | 0.0829366 | + | 0.644960i | ||||
\(223\) | 6.47927 | − | 11.2224i | 0.433884 | − | 0.751510i | −0.563320 | − | 0.826239i | \(-0.690476\pi\) |
0.997204 | + | 0.0747295i | \(0.0238093\pi\) | |||||||
\(224\) | 2.52641 | + | 26.3199i | 0.168803 | + | 1.75857i | ||||
\(225\) | 7.34662 | − | 12.9650i | 0.489775 | − | 0.864334i | ||||
\(226\) | 12.0606 | − | 9.12022i | 0.802258 | − | 0.606668i | ||||
\(227\) | −13.1401 | + | 3.52089i | −0.872142 | + | 0.233690i | −0.667014 | − | 0.745045i | \(-0.732428\pi\) |
−0.205128 | + | 0.978735i | \(0.565761\pi\) | |||||||
\(228\) | −1.51220 | − | 5.87935i | −0.100148 | − | 0.389370i | ||||
\(229\) | −16.2371 | − | 4.35071i | −1.07298 | − | 0.287503i | −0.321260 | − | 0.946991i | \(-0.604106\pi\) |
−0.751715 | + | 0.659488i | \(0.770773\pi\) | |||||||
\(230\) | −0.429277 | − | 1.05736i | −0.0283057 | − | 0.0697204i | ||||
\(231\) | −4.33577 | + | 2.52662i | −0.285273 | + | 0.166239i | ||||
\(232\) | 14.9899 | + | 20.4139i | 0.984133 | + | 1.34024i | ||||
\(233\) | 10.0493i | 0.658351i | 0.944269 | + | 0.329176i | \(0.106771\pi\) | ||||
−0.944269 | + | 0.329176i | \(0.893229\pi\) | |||||||
\(234\) | 2.51003 | − | 19.2173i | 0.164086 | − | 1.25627i | ||||
\(235\) | −0.300509 | + | 0.300509i | −0.0196030 | + | 0.0196030i | ||||
\(236\) | −22.8461 | − | 0.321734i | −1.48715 | − | 0.0209431i | ||||
\(237\) | −4.87608 | + | 1.32763i | −0.316735 | + | 0.0862390i | ||||
\(238\) | 11.1827 | − | 26.4687i | 0.724865 | − | 1.71571i | ||||
\(239\) | −3.38365 | − | 5.86066i | −0.218870 | − | 0.379094i | 0.735593 | − | 0.677424i | \(-0.236904\pi\) |
−0.954463 | + | 0.298330i | \(0.903570\pi\) | |||||||
\(240\) | −1.06995 | − | 0.652655i | −0.0690649 | − | 0.0421287i | ||||
\(241\) | −1.07804 | + | 1.86722i | −0.0694428 | + | 0.120278i | −0.898656 | − | 0.438654i | \(-0.855455\pi\) |
0.829213 | + | 0.558932i | \(0.188789\pi\) | |||||||
\(242\) | −9.05524 | − | 11.9747i | −0.582093 | − | 0.769760i | ||||
\(243\) | 11.2426 | + | 10.7983i | 0.721215 | + | 0.692711i | ||||
\(244\) | 3.97200 | − | 2.21926i | 0.254281 | − | 0.142073i | ||||
\(245\) | 0.695154 | + | 2.59435i | 0.0444118 | + | 0.165747i | ||||
\(246\) | 1.38667 | − | 10.2933i | 0.0884107 | − | 0.656277i | ||||
\(247\) | −6.93279 | + | 4.00265i | −0.441123 | + | 0.254683i | ||||
\(248\) | 7.97313 | − | 9.94845i | 0.506294 | − | 0.631727i | ||||
\(249\) | 11.5828 | + | 6.62520i | 0.734029 | + | 0.419855i | ||||
\(250\) | −1.56649 | + | 2.01200i | −0.0990735 | + | 0.127250i | ||||
\(251\) | 3.65289 | − | 3.65289i | 0.230568 | − | 0.230568i | −0.582362 | − | 0.812930i | \(-0.697871\pi\) |
0.812930 | + | 0.582362i | \(0.197871\pi\) | |||||||
\(252\) | −7.42144 | + | 27.0450i | −0.467507 | + | 1.70367i | ||||
\(253\) | 1.95516 | + | 1.95516i | 0.122920 | + | 0.122920i | ||||
\(254\) | 2.01417 | + | 16.1785i | 0.126380 | + | 1.01513i | ||||
\(255\) | 0.685745 | + | 1.17676i | 0.0429430 | + | 0.0736918i | ||||
\(256\) | 8.76739 | − | 13.3841i | 0.547962 | − | 0.836503i | ||||
\(257\) | −5.09689 | − | 8.82807i | −0.317935 | − | 0.550680i | 0.662122 | − | 0.749396i | \(-0.269656\pi\) |
−0.980057 | + | 0.198716i | \(0.936323\pi\) | |||||||
\(258\) | −0.0307126 | − | 0.0128300i | −0.00191208 | − | 0.000798761i | ||||
\(259\) | −17.8583 | + | 4.78511i | −1.10966 | + | 0.297332i | ||||
\(260\) | −0.450184 | + | 1.59019i | −0.0279192 | + | 0.0986196i | ||||
\(261\) | 7.16153 | + | 25.8904i | 0.443288 | + | 1.60258i | ||||
\(262\) | −4.96385 | − | 0.689093i | −0.306668 | − | 0.0425723i | ||||
\(263\) | −14.5937 | − | 8.42569i | −0.899888 | − | 0.519550i | −0.0227239 | − | 0.999742i | \(-0.507234\pi\) |
−0.877164 | + | 0.480191i | \(0.840567\pi\) | |||||||
\(264\) | 3.00347 | + | 0.447760i | 0.184851 | + | 0.0275577i | ||||
\(265\) | −0.115079 | + | 0.0664408i | −0.00706924 | + | 0.00408143i | ||||
\(266\) | 10.7333 | − | 4.35760i | 0.658102 | − | 0.267182i | ||||
\(267\) | −3.88897 | + | 3.92045i | −0.238001 | + | 0.239928i | ||||
\(268\) | 0.205343 | − | 14.5813i | 0.0125433 | − | 0.890692i | ||||
\(269\) | 18.2219 | + | 18.2219i | 1.11101 | + | 1.11101i | 0.993014 | + | 0.117993i | \(0.0376461\pi\) |
0.117993 | + | 0.993014i | \(0.462354\pi\) | |||||||
\(270\) | −0.814557 | − | 1.05052i | −0.0495724 | − | 0.0639325i | ||||
\(271\) | 9.95663 | 0.604822 | 0.302411 | − | 0.953178i | \(-0.402208\pi\) | ||||
0.302411 | + | 0.953178i | \(0.402208\pi\) | |||||||
\(272\) | −15.2970 | + | 8.26634i | −0.927516 | + | 0.501221i | ||||
\(273\) | 36.9816 | − | 0.149085i | 2.23823 | − | 0.00902302i | ||||
\(274\) | −8.27420 | + | 19.5845i | −0.499863 | + | 1.18314i | ||||
\(275\) | 0.796902 | − | 2.97408i | 0.0480550 | − | 0.179344i | ||||
\(276\) | 15.4517 | + | 0.155301i | 0.930081 | + | 0.00934805i | ||||
\(277\) | −0.706690 | − | 2.63740i | −0.0424609 | − | 0.158466i | 0.941440 | − | 0.337180i | \(-0.109473\pi\) |
−0.983901 | + | 0.178714i | \(0.942806\pi\) | |||||||
\(278\) | −1.96520 | + | 14.1562i | −0.117865 | + | 0.849035i | ||||
\(279\) | 11.6560 | − | 6.85549i | 0.697827 | − | 0.410428i | ||||
\(280\) | 0.961666 | − | 2.18967i | 0.0574706 | − | 0.130858i | ||||
\(281\) | 21.8517 | + | 12.6161i | 1.30356 | + | 0.752612i | 0.981013 | − | 0.193941i | \(-0.0621271\pi\) |
0.322549 | + | 0.946553i | \(0.395460\pi\) | |||||||
\(282\) | −2.18618 | − | 5.32316i | −0.130185 | − | 0.316989i | ||||
\(283\) | 8.63704 | + | 2.31429i | 0.513419 | + | 0.137570i | 0.506221 | − | 0.862404i | \(-0.331042\pi\) |
0.00719814 | + | 0.999974i | \(0.497709\pi\) | |||||||
\(284\) | −3.70311 | − | 14.6419i | −0.219739 | − | 0.868836i | ||||
\(285\) | −0.139975 | + | 0.530947i | −0.00829142 | + | 0.0314506i | ||||
\(286\) | −0.494709 | − | 3.97369i | −0.0292528 | − | 0.234969i | ||||
\(287\) | 19.8192 | 1.16989 | ||||||||
\(288\) | 13.7391 | − | 9.96184i | 0.809582 | − | 0.587007i | ||||
\(289\) | 1.89565 | 0.111509 | ||||||||
\(290\) | −0.283003 | − | 2.27319i | −0.0166185 | − | 0.133486i | ||||
\(291\) | −26.8687 | + | 7.31566i | −1.57507 | + | 0.428852i | ||||
\(292\) | −1.43539 | − | 5.67545i | −0.0839998 | − | 0.332130i | ||||
\(293\) | 20.1100 | + | 5.38845i | 1.17484 | + | 0.314796i | 0.792876 | − | 0.609383i | \(-0.208583\pi\) |
0.381960 | + | 0.924179i | \(0.375249\pi\) | |||||||
\(294\) | −36.0431 | − | 4.85556i | −2.10208 | − | 0.283182i | ||||
\(295\) | 1.78973 | + | 1.03330i | 0.104202 | + | 0.0601612i | ||||
\(296\) | 10.2433 | + | 4.49869i | 0.595382 | + | 0.261481i | ||||
\(297\) | 2.80862 | + | 1.57658i | 0.162973 | + | 0.0914825i | ||||
\(298\) | −1.03641 | + | 7.46576i | −0.0600378 | + | 0.432480i | ||||
\(299\) | −5.27390 | − | 19.6824i | −0.304997 | − | 1.13827i | ||||
\(300\) | −8.45337 | − | 14.9875i | −0.488056 | − | 0.865306i | ||||
\(301\) | 0.0164386 | − | 0.0613498i | 0.000947507 | − | 0.00353615i | ||||
\(302\) | 6.26920 | − | 14.8388i | 0.360752 | − | 0.853878i | ||||
\(303\) | −15.1627 | + | 26.5087i | −0.871072 | + | 1.52289i | ||||
\(304\) | −6.71723 | − | 2.00423i | −0.385259 | − | 0.114951i | ||||
\(305\) | −0.411536 | −0.0235645 | ||||||||
\(306\) | −18.2821 | + | 2.42590i | −1.04512 | + | 0.138679i | ||||
\(307\) | 11.4523 | + | 11.4523i | 0.653619 | + | 0.653619i | 0.953863 | − | 0.300243i | \(-0.0970679\pi\) |
−0.300243 | + | 0.953863i | \(0.597068\pi\) | |||||||
\(308\) | −0.0815949 | + | 5.79399i | −0.00464930 | + | 0.330143i | ||||
\(309\) | −15.5858 | − | 4.10893i | −0.886645 | − | 0.233749i | ||||
\(310\) | −1.06845 | + | 0.433780i | −0.0606841 | + | 0.0246370i | ||||
\(311\) | 15.6387 | − | 9.02903i | 0.886792 | − | 0.511989i | 0.0138999 | − | 0.999903i | \(-0.495575\pi\) |
0.872892 | + | 0.487914i | \(0.162242\pi\) | |||||||
\(312\) | −17.5188 | − | 13.9247i | −0.991805 | − | 0.788331i | ||||
\(313\) | 22.1825 | + | 12.8070i | 1.25383 | + | 0.723897i | 0.971867 | − | 0.235529i | \(-0.0756823\pi\) |
0.281959 | + | 0.959426i | \(0.409016\pi\) | |||||||
\(314\) | −7.93467 | − | 1.10151i | −0.447779 | − | 0.0621617i | ||||
\(315\) | 1.77914 | − | 1.80806i | 0.100243 | − | 0.101873i | ||||
\(316\) | −1.58953 | + | 5.61472i | −0.0894180 | + | 0.315853i | ||||
\(317\) | 3.31301 | − | 0.887719i | 0.186077 | − | 0.0498593i | −0.164577 | − | 0.986364i | \(-0.552626\pi\) |
0.350654 | + | 0.936505i | \(0.385959\pi\) | |||||||
\(318\) | −0.229488 | − | 1.78462i | −0.0128691 | − | 0.100077i | ||||
\(319\) | 2.77516 | + | 4.80671i | 0.155379 | + | 0.269124i | ||||
\(320\) | −1.28274 | + | 0.670015i | −0.0717071 | + | 0.0374550i | ||||
\(321\) | −23.3172 | + | 0.0939989i | −1.30144 | + | 0.00524651i | ||||
\(322\) | 3.64282 | + | 29.2605i | 0.203007 | + | 1.63063i | ||||
\(323\) | 5.38660 | + | 5.38660i | 0.299719 | + | 0.299719i | ||||
\(324\) | 17.3771 | − | 4.69426i | 0.965395 | − | 0.260792i | ||||
\(325\) | −16.0447 | + | 16.0447i | −0.890001 | + | 0.890001i | ||||
\(326\) | 18.4443 | − | 23.6899i | 1.02154 | − | 1.31206i | ||||
\(327\) | 0.0627288 | + | 15.5604i | 0.00346891 | + | 0.860491i | ||||
\(328\) | −9.35840 | − | 7.50024i | −0.516731 | − | 0.414131i | ||||
\(329\) | 9.50978 | − | 5.49047i | 0.524291 | − | 0.302700i | ||||
\(330\) | −0.217400 | − | 0.167859i | −0.0119675 | − | 0.00924032i | ||||
\(331\) | −4.07910 | − | 15.2234i | −0.224207 | − | 0.836753i | −0.982721 | − | 0.185096i | \(-0.940741\pi\) |
0.758513 | − | 0.651658i | \(-0.225926\pi\) | |||||||
\(332\) | 13.4508 | − | 7.51532i | 0.738211 | − | 0.412457i | ||||
\(333\) | 8.45813 | + | 8.32283i | 0.463503 | + | 0.456088i | ||||
\(334\) | 7.70156 | + | 10.1845i | 0.421410 | + | 0.557273i | ||||
\(335\) | −0.659494 | + | 1.14228i | −0.0360320 | + | 0.0624093i | ||||
\(336\) | 22.3392 | + | 23.4443i | 1.21871 | + | 1.27899i | ||||
\(337\) | −8.67225 | − | 15.0208i | −0.472407 | − | 0.818233i | 0.527094 | − | 0.849807i | \(-0.323282\pi\) |
−0.999501 | + | 0.0315734i | \(0.989948\pi\) | |||||||
\(338\) | −4.32978 | + | 10.2483i | −0.235509 | + | 0.557436i | ||||
\(339\) | 4.72093 | − | 17.9072i | 0.256406 | − | 0.972585i | ||||
\(340\) | 1.57254 | + | 0.0221455i | 0.0852827 | + | 0.00120101i | ||||
\(341\) | 1.97567 | − | 1.97567i | 0.106988 | − | 0.106988i | ||||
\(342\) | −5.90326 | − | 4.52016i | −0.319212 | − | 0.244422i | ||||
\(343\) | − | 36.6800i | − | 1.98053i | ||||||
\(344\) | −0.0309790 | + | 0.0227478i | −0.00167028 | + | 0.00122648i | ||||
\(345\) | −1.21321 | − | 0.693942i | −0.0653171 | − | 0.0373606i | ||||
\(346\) | −2.75661 | − | 6.78988i | −0.148197 | − | 0.365026i | ||||
\(347\) | 6.92193 | + | 1.85473i | 0.371589 | + | 0.0995669i | 0.439780 | − | 0.898105i | \(-0.355056\pi\) |
−0.0681917 | + | 0.997672i | \(0.521723\pi\) | |||||||
\(348\) | 29.8792 | + | 8.32884i | 1.60169 | + | 0.446473i | ||||
\(349\) | −1.10009 | + | 0.294768i | −0.0588865 | + | 0.0157786i | −0.288142 | − | 0.957588i | \(-0.593038\pi\) |
0.229256 | + | 0.973366i | \(0.426371\pi\) | |||||||
\(350\) | 26.1897 | − | 19.8046i | 1.39990 | − | 1.05860i | ||||
\(351\) | −12.1158 | − | 20.4111i | −0.646694 | − | 1.08946i | ||||
\(352\) | 2.23117 | − | 2.70498i | 0.118922 | − | 0.144176i | ||||
\(353\) | −12.2507 | + | 21.2188i | −0.652037 | + | 1.12936i | 0.330591 | + | 0.943774i | \(0.392752\pi\) |
−0.982628 | + | 0.185587i | \(0.940581\pi\) | |||||||
\(354\) | −22.2519 | + | 16.9683i | −1.18268 | + | 0.901856i | ||||
\(355\) | −0.353557 | + | 1.31949i | −0.0187649 | + | 0.0700314i | ||||
\(356\) | 1.56345 | + | 6.18178i | 0.0828625 | + | 0.327634i | ||||
\(357\) | −9.24528 | − | 33.9557i | −0.489312 | − | 1.79713i | ||||
\(358\) | 2.40932 | − | 3.09453i | 0.127336 | − | 0.163551i | ||||
\(359\) | 11.6859i | 0.616757i | 0.951264 | + | 0.308378i | \(0.0997863\pi\) | ||||
−0.951264 | + | 0.308378i | \(0.900214\pi\) | |||||||
\(360\) | −1.52432 | + | 0.180462i | −0.0803388 | + | 0.00951116i | ||||
\(361\) | − | 15.9289i | − | 0.838362i | ||||||
\(362\) | 0.353898 | + | 0.275536i | 0.0186005 | + | 0.0144818i | ||||
\(363\) | −17.7796 | − | 4.68729i | −0.933186 | − | 0.246019i | ||||
\(364\) | 21.8702 | − | 36.6776i | 1.14631 | − | 1.92243i | ||||
\(365\) | −0.137045 | + | 0.511458i | −0.00717325 | + | 0.0267709i | ||||
\(366\) | 2.14799 | − | 5.14189i | 0.112277 | − | 0.268771i | ||||
\(367\) | −5.61911 | + | 9.73258i | −0.293315 | + | 0.508037i | −0.974592 | − | 0.223990i | \(-0.928092\pi\) |
0.681276 | + | 0.732026i | \(0.261425\pi\) | |||||||
\(368\) | 9.35307 | − | 15.1951i | 0.487563 | − | 0.792099i | ||||
\(369\) | −6.44889 | − | 10.9647i | −0.335716 | − | 0.570798i | ||||
\(370\) | −0.610345 | − | 0.807121i | −0.0317303 | − | 0.0419602i | ||||
\(371\) | 3.31647 | − | 0.888646i | 0.172183 | − | 0.0461362i | ||||
\(372\) | 0.156931 | − | 15.6138i | 0.00813647 | − | 0.809535i | ||||
\(373\) | −11.5685 | − | 3.09978i | −0.598996 | − | 0.160501i | −0.0534347 | − | 0.998571i | \(-0.517017\pi\) |
−0.545561 | + | 0.838071i | \(0.683684\pi\) | |||||||
\(374\) | −3.53066 | + | 1.43341i | −0.182566 | + | 0.0741197i | ||||
\(375\) | 0.0125896 | + | 3.12296i | 0.000650126 | + | 0.161269i | ||||
\(376\) | −6.56820 | − | 1.00628i | −0.338729 | − | 0.0518948i | ||||
\(377\) | − | 40.9031i | − | 2.10661i | ||||||
\(378\) | 13.3045 | + | 31.6663i | 0.684308 | + | 1.62874i | ||||
\(379\) | 11.6135 | − | 11.6135i | 0.596544 | − | 0.596544i | −0.342847 | − | 0.939391i | \(-0.611391\pi\) |
0.939391 | + | 0.342847i | \(0.111391\pi\) | |||||||
\(380\) | 0.441971 | + | 0.454597i | 0.0226727 | + | 0.0233204i | ||||
\(381\) | 14.1760 | + | 14.0622i | 0.726258 | + | 0.720426i | ||||
\(382\) | 27.0686 | + | 11.4361i | 1.38495 | + | 0.585124i | ||||
\(383\) | −14.5294 | − | 25.1657i | −0.742418 | − | 1.28591i | −0.951391 | − | 0.307985i | \(-0.900345\pi\) |
0.208973 | − | 0.977921i | \(-0.432988\pi\) | |||||||
\(384\) | −1.67624 | − | 19.5241i | −0.0855402 | − | 0.996335i | ||||
\(385\) | 0.262056 | − | 0.453894i | 0.0133556 | − | 0.0231326i | ||||
\(386\) | 17.3616 | − | 13.1289i | 0.883683 | − | 0.668241i | ||||
\(387\) | −0.0392899 | + | 0.0108680i | −0.00199722 | + | 0.000552449i | ||||
\(388\) | −8.75878 | + | 30.9388i | −0.444660 | + | 1.57068i | ||||
\(389\) | 3.65693 | + | 13.6478i | 0.185414 | + | 0.691973i | 0.994542 | + | 0.104341i | \(0.0332732\pi\) |
−0.809128 | + | 0.587632i | \(0.800060\pi\) | |||||||
\(390\) | 0.768967 | + | 1.87237i | 0.0389381 | + | 0.0948111i | ||||
\(391\) | −16.7926 | + | 9.69522i | −0.849239 | + | 0.490308i | ||||
\(392\) | −26.2629 | + | 32.7694i | −1.32648 | + | 1.65511i | ||||
\(393\) | −5.30304 | + | 3.09028i | −0.267503 | + | 0.155884i | ||||
\(394\) | 1.42843 | + | 1.11214i | 0.0719630 | + | 0.0560286i | ||||
\(395\) | 0.373213 | − | 0.373213i | 0.0187784 | − | 0.0187784i | ||||
\(396\) | 3.23200 | − | 1.84015i | 0.162414 | − | 0.0924708i | ||||
\(397\) | −1.83996 | − | 1.83996i | −0.0923450 | − | 0.0923450i | 0.659425 | − | 0.751770i | \(-0.270800\pi\) |
−0.751770 | + | 0.659425i | \(0.770800\pi\) | |||||||
\(398\) | −23.1839 | + | 2.88631i | −1.16211 | + | 0.144678i | ||||
\(399\) | 7.04423 | − | 12.3154i | 0.352653 | − | 0.616539i | ||||
\(400\) | −19.8612 | − | 0.559510i | −0.993061 | − | 0.0279755i | ||||
\(401\) | 14.5786 | + | 25.2509i | 0.728021 | + | 1.26097i | 0.957718 | + | 0.287708i | \(0.0928931\pi\) |
−0.229697 | + | 0.973262i | \(0.573774\pi\) | |||||||
\(402\) | −10.8298 | − | 14.2020i | −0.540144 | − | 0.708333i | ||||
\(403\) | −19.8889 | + | 5.32922i | −0.990737 | + | 0.265467i | ||||
\(404\) | 17.1998 | + | 30.7841i | 0.855723 | + | 1.53156i | ||||
\(405\) | −1.57919 | − | 0.395965i | −0.0784707 | − | 0.0196757i | ||||
\(406\) | −8.13873 | + | 58.6270i | −0.403918 | + | 2.90961i | ||||
\(407\) | 2.12332 | + | 1.22590i | 0.105249 | + | 0.0607656i | ||||
\(408\) | −8.48447 | + | 19.5323i | −0.420044 | + | 0.966991i | ||||
\(409\) | −9.18277 | + | 5.30167i | −0.454059 | + | 0.262151i | −0.709543 | − | 0.704662i | \(-0.751099\pi\) |
0.255484 | + | 0.966813i | \(0.417765\pi\) | |||||||
\(410\) | 0.408052 | + | 1.00508i | 0.0201522 | + | 0.0496375i | ||||
\(411\) | 6.84070 | + | 25.1243i | 0.337427 | + | 1.23929i | ||||
\(412\) | −13.3446 | + | 12.9739i | −0.657440 | + | 0.639180i | ||||
\(413\) | −37.7581 | − | 37.7581i | −1.85796 | − | 1.85796i | ||||
\(414\) | 15.0027 | − | 11.5363i | 0.737341 | − | 0.566980i | ||||
\(415\) | −1.39363 | −0.0684107 | ||||||||
\(416\) | −24.2069 | + | 9.04238i | −1.18684 | + | 0.443339i | ||||
\(417\) | 8.81306 | + | 15.1235i | 0.431577 | + | 0.740603i | ||||
\(418\) | −1.41511 | − | 0.597866i | −0.0692153 | − | 0.0292426i | ||||
\(419\) | 3.70507 | − | 13.8275i | 0.181005 | − | 0.675519i | −0.814446 | − | 0.580240i | \(-0.802959\pi\) |
0.995451 | − | 0.0952792i | \(-0.0303744\pi\) | |||||||
\(420\) | −0.729616 | − | 2.83670i | −0.0356016 | − | 0.138417i | ||||
\(421\) | 5.16753 | + | 19.2855i | 0.251850 | + | 0.939918i | 0.969816 | + | 0.243839i | \(0.0784068\pi\) |
−0.717966 | + | 0.696079i | \(0.754926\pi\) | |||||||
\(422\) | −36.5488 | − | 5.07379i | −1.77917 | − | 0.246988i | ||||
\(423\) | −6.13189 | − | 3.47463i | −0.298143 | − | 0.168942i | ||||
\(424\) | −1.90230 | − | 0.835456i | −0.0923838 | − | 0.0405733i | ||||
\(425\) | 18.6995 | + | 10.7962i | 0.907059 | + | 0.523691i | ||||
\(426\) | −14.6409 | − | 11.3045i | −0.709352 | − | 0.547705i | ||||
\(427\) | 10.2712 | + | 2.75215i | 0.497056 | + | 0.133186i | ||||
\(428\) | −13.7893 | + | 23.1255i | −0.666530 | + | 1.11781i | ||||
\(429\) | −3.48184 | − | 3.45388i | −0.168105 | − | 0.166755i | ||||
\(430\) | 0.00344967 | 0.000429470i | 0.000166358 | 2.07109e-5i | ||||||
\(431\) | −8.92159 | −0.429738 | −0.214869 | − | 0.976643i | \(-0.568932\pi\) | ||||
−0.214869 | + | 0.976643i | \(0.568932\pi\) | |||||||
\(432\) | 5.70136 | − | 19.9874i | 0.274307 | − | 0.961642i | ||||
\(433\) | −29.8178 | −1.43295 | −0.716476 | − | 0.697612i | \(-0.754246\pi\) | ||||
−0.716476 | + | 0.697612i | \(0.754246\pi\) | |||||||
\(434\) | 29.5675 | − | 3.68104i | 1.41928 | − | 0.176695i | ||||
\(435\) | −1.99182 | − | 1.97582i | −0.0955003 | − | 0.0947334i | ||||
\(436\) | 15.4325 | + | 9.20208i | 0.739080 | + | 0.440700i | ||||
\(437\) | −7.55091 | − | 2.02326i | −0.361209 | − | 0.0967857i | ||||
\(438\) | −5.67505 | − | 4.38182i | −0.271165 | − | 0.209371i | ||||
\(439\) | 27.0574 | + | 15.6216i | 1.29138 | + | 0.745579i | 0.978899 | − | 0.204345i | \(-0.0655065\pi\) |
0.312481 | + | 0.949924i | \(0.398840\pi\) | |||||||
\(440\) | −0.295509 | + | 0.115153i | −0.0140878 | + | 0.00548971i | ||||
\(441\) | −38.3940 | + | 22.5815i | −1.82829 | + | 1.07531i | ||||
\(442\) | 27.8150 | + | 3.86134i | 1.32303 | + | 0.183665i | ||||
\(443\) | 2.84043 | + | 10.6006i | 0.134953 | + | 0.503651i | 0.999998 | + | 0.00195701i | \(0.000622937\pi\) |
−0.865045 | + | 0.501694i | \(0.832710\pi\) | |||||||
\(444\) | 13.2701 | − | 3.41315i | 0.629773 | − | 0.161981i | ||||
\(445\) | 0.149271 | − | 0.557087i | 0.00707613 | − | 0.0264085i | ||||
\(446\) | −16.8814 | − | 7.13215i | −0.799356 | − | 0.337717i | ||||
\(447\) | 4.64786 | + | 7.97590i | 0.219836 | + | 0.377247i | ||||
\(448\) | 36.4954 | − | 8.14399i | 1.72424 | − | 0.384767i | ||||
\(449\) | 27.4967 | 1.29765 | 0.648824 | − | 0.760938i | \(-0.275261\pi\) | ||||
0.648824 | + | 0.760938i | \(0.275261\pi\) | |||||||
\(450\) | −19.4784 | − | 8.04491i | −0.918221 | − | 0.379241i | ||||
\(451\) | −1.85849 | − | 1.85849i | −0.0875128 | − | 0.0875128i | ||||
\(452\) | −14.9063 | − | 15.3321i | −0.701134 | − | 0.721163i | ||||
\(453\) | −5.18307 | − | 19.0362i | −0.243522 | − | 0.894397i | ||||
\(454\) | 7.23693 | + | 17.8255i | 0.339646 | + | 0.836590i | ||||
\(455\) | −3.34497 | + | 1.93122i | −0.156815 | + | 0.0905370i | ||||
\(456\) | −7.98676 | + | 3.14941i | −0.374014 | + | 0.147485i | ||||
\(457\) | −16.8184 | − | 9.71008i | −0.786729 | − | 0.454218i | 0.0520805 | − | 0.998643i | \(-0.483415\pi\) |
−0.838810 | + | 0.544424i | \(0.816748\pi\) | |||||||
\(458\) | −3.26883 | + | 23.5469i | −0.152742 | + | 1.10027i | ||||
\(459\) | −15.7773 | + | 16.1636i | −0.736419 | + | 0.754451i | ||||
\(460\) | −1.40888 | + | 0.787176i | −0.0656893 | + | 0.0367023i | ||||
\(461\) | 4.03437 | − | 1.08101i | 0.187900 | − | 0.0503475i | −0.163642 | − | 0.986520i | \(-0.552324\pi\) |
0.351542 | + | 0.936172i | \(0.385658\pi\) | |||||||
\(462\) | 4.30333 | + | 5.64330i | 0.200209 | + | 0.262550i | ||||
\(463\) | −0.773244 | − | 1.33930i | −0.0359357 | − | 0.0622425i | 0.847498 | − | 0.530798i | \(-0.178108\pi\) |
−0.883434 | + | 0.468556i | \(0.844774\pi\) | |||||||
\(464\) | 26.0295 | − | 24.6031i | 1.20839 | − | 1.14217i | ||||
\(465\) | −0.701222 | + | 1.22594i | −0.0325184 | + | 0.0568515i | ||||
\(466\) | 14.1030 | − | 1.75577i | 0.653308 | − | 0.0813343i | ||||
\(467\) | −2.13196 | − | 2.13196i | −0.0986553 | − | 0.0986553i | 0.656056 | − | 0.754712i | \(-0.272223\pi\) |
−0.754712 | + | 0.656056i | \(0.772223\pi\) | |||||||
\(468\) | −27.4077 | − | 0.164973i | −1.26692 | − | 0.00762588i | ||||
\(469\) | 24.0987 | − | 24.0987i | 1.11277 | − | 1.11277i | ||||
\(470\) | 0.474231 | + | 0.369224i | 0.0218747 | + | 0.0170310i | ||||
\(471\) | −8.47685 | + | 4.93978i | −0.390593 | + | 0.227613i | ||||
\(472\) | 3.54005 | + | 32.1180i | 0.162944 | + | 1.47835i | ||||
\(473\) | −0.00729441 | + | 0.00421143i | −0.000335397 | + | 0.000193642i | ||||
\(474\) | 2.71510 | + | 6.61103i | 0.124709 | + | 0.303655i | ||||
\(475\) | 2.25301 | + | 8.40836i | 0.103375 | + | 0.385802i | ||||
\(476\) | −39.0994 | − | 11.0690i | −1.79212 | − | 0.507349i | ||||
\(477\) | −1.57077 | − | 1.54564i | −0.0719205 | − | 0.0707700i | ||||
\(478\) | −7.63355 | + | 5.77250i | −0.349151 | + | 0.264028i | ||||
\(479\) | 14.5113 | − | 25.1343i | 0.663037 | − | 1.14841i | −0.316777 | − | 0.948500i | \(-0.602601\pi\) |
0.979814 | − | 0.199914i | \(-0.0640661\pi\) | |||||||
\(480\) | −0.728987 | + | 1.61557i | −0.0332735 | + | 0.0737405i | ||||
\(481\) | −9.03428 | − | 15.6478i | −0.411928 | − | 0.713480i | ||||
\(482\) | 2.80877 | + | 1.18667i | 0.127936 | + | 0.0540513i | ||||
\(483\) | 25.6387 | + | 25.4328i | 1.16660 | + | 1.15723i | ||||
\(484\) | −15.2229 | + | 14.8001i | −0.691950 | + | 0.672731i | ||||
\(485\) | 2.05652 | − | 2.05652i | 0.0933817 | − | 0.0933817i | ||||
\(486\) | 13.1899 | − | 17.6643i | 0.598304 | − | 0.801269i | ||||
\(487\) | − | 3.59517i | − | 0.162913i | −0.996677 | − | 0.0814564i | \(-0.974043\pi\) | ||
0.996677 | − | 0.0814564i | \(-0.0259571\pi\) | |||||||
\(488\) | −3.80843 | − | 5.18649i | −0.172399 | − | 0.234781i | ||||
\(489\) | −0.148234 | − | 36.7707i | −0.00670339 | − | 1.66283i | ||||
\(490\) | 3.51940 | − | 1.42884i | 0.158990 | − | 0.0645483i | ||||
\(491\) | 19.9964 | + | 5.35801i | 0.902424 | + | 0.241804i | 0.680057 | − | 0.733159i | \(-0.261955\pi\) |
0.222367 | + | 0.974963i | \(0.428622\pi\) | |||||||
\(492\) | −14.6877 | − | 0.147623i | −0.662172 | − | 0.00665535i | ||||
\(493\) | −37.5969 | + | 10.0741i | −1.69328 | + | 0.453713i | ||||
\(494\) | 6.82850 | + | 9.03002i | 0.307229 | + | 0.406280i | ||||
\(495\) | −0.336380 | + | 0.00271215i | −0.0151192 | + | 0.000121902i | ||||
\(496\) | −15.3545 | − | 9.45119i | −0.689437 | − | 0.424371i | ||||
\(497\) | 17.6482 | − | 30.5676i | 0.791631 | − | 1.37115i | ||||
\(498\) | 7.27399 | − | 17.4126i | 0.325955 | − | 0.780275i | ||||
\(499\) | 3.94988 | − | 14.7412i | 0.176821 | − | 0.659905i | −0.819413 | − | 0.573203i | \(-0.805701\pi\) |
0.996234 | − | 0.0867019i | \(-0.0276328\pi\) | |||||||
\(500\) | 3.09728 | + | 1.84685i | 0.138515 | + | 0.0825938i | ||||
\(501\) | 15.1217 | + | 3.98658i | 0.675587 | + | 0.178107i | ||||
\(502\) | −5.76461 | − | 4.48817i | −0.257287 | − | 0.200317i | ||||
\(503\) | − | 11.1260i | − | 0.496085i | −0.968749 | − | 0.248042i | \(-0.920213\pi\) | ||
0.968749 | − | 0.248042i | \(-0.0797872\pi\) | |||||||
\(504\) | 39.2510 | + | 5.68993i | 1.74838 | + | 0.253449i | ||||
\(505\) | − | 3.18951i | − | 0.141931i | ||||||
\(506\) | 2.40223 | − | 3.08543i | 0.106792 | − | 0.137164i | ||||
\(507\) | 3.57965 | + | 13.1472i | 0.158978 | + | 0.583888i | ||||
\(508\) | 22.3527 | − | 5.65328i | 0.991742 | − | 0.250824i | ||||
\(509\) | 6.47918 | − | 24.1806i | 0.287185 | − | 1.07179i | −0.660044 | − | 0.751227i | \(-0.729462\pi\) |
0.947228 | − | 0.320560i | \(-0.103871\pi\) | |||||||
\(510\) | 1.53164 | − | 1.16796i | 0.0678220 | − | 0.0517181i | ||||
\(511\) | 6.84076 | − | 11.8485i | 0.302617 | − | 0.524149i | ||||
\(512\) | −20.3147 | − | 9.96558i | −0.897792 | − | 0.440420i | ||||
\(513\) | −9.10540 | + | 0.110125i | −0.402013 | + | 0.00486214i | ||||
\(514\) | −11.4986 | + | 8.69527i | −0.507183 | + | 0.383532i | ||||
\(515\) | 1.62606 | − | 0.435701i | 0.0716526 | − | 0.0191993i | ||||
\(516\) | −0.0126394 | + | 0.0453430i | −0.000556418 | + | 0.00199611i | ||||
\(517\) | −1.40661 | − | 0.376900i | −0.0618626 | − | 0.0165760i | ||||
\(518\) | 9.83543 | + | 24.2259i | 0.432144 | + | 1.06442i | ||||
\(519\) | −7.79068 | − | 4.45617i | −0.341973 | − | 0.195604i | ||||
\(520\) | 2.31030 | + | 0.353948i | 0.101313 | + | 0.0155216i | ||||
\(521\) | 44.7974i | 1.96261i | 0.192458 | + | 0.981305i | \(0.438354\pi\) | ||||
−0.192458 | + | 0.981305i | \(0.561646\pi\) | |||||||
\(522\) | 35.0828 | − | 14.5738i | 1.53553 | − | 0.637878i | ||||
\(523\) | 7.02267 | − | 7.02267i | 0.307080 | − | 0.307080i | −0.536696 | − | 0.843776i | \(-0.680328\pi\) |
0.843776 | + | 0.536696i | \(0.180328\pi\) | |||||||
\(524\) | −0.0997979 | + | 7.08657i | −0.00435969 | + | 0.309578i | ||||
\(525\) | 10.2515 | − | 38.8856i | 0.447413 | − | 1.69711i | ||||
\(526\) | −9.27470 | + | 21.9526i | −0.404396 | + | 0.957180i | ||||
\(527\) | 9.79692 | + | 16.9688i | 0.426761 | + | 0.739171i | ||||
\(528\) | 0.103625 | − | 4.29323i | 0.00450971 | − | 0.186839i | ||||
\(529\) | −1.55091 | + | 2.68626i | −0.0674309 | + | 0.116794i | ||||
\(530\) | 0.113348 | + | 0.149891i | 0.00492351 | + | 0.00651085i | ||||
\(531\) | −8.60319 | + | 33.1752i | −0.373347 | + | 1.43968i | ||||
\(532\) | −7.99065 | − | 14.3016i | −0.346438 | − | 0.620052i | ||||
\(533\) | 5.01314 | + | 18.7093i | 0.217143 | + | 0.810389i | ||||
\(534\) | 6.18135 | + | 4.77274i | 0.267493 | + | 0.206537i | ||||
\(535\) | 2.10903 | − | 1.21765i | 0.0911812 | − | 0.0526435i | ||||
\(536\) | −20.4989 | + | 2.25940i | −0.885419 | + | 0.0975910i | ||||
\(537\) | −0.0193633 | − | 4.80323i | −0.000835590 | − | 0.207275i | ||||
\(538\) | 22.3886 | − | 28.7559i | 0.965240 | − | 1.23975i | ||||
\(539\) | −6.50770 | + | 6.50770i | −0.280306 | + | 0.280306i | ||||
\(540\) | −1.33196 | + | 1.32667i | −0.0573184 | + | 0.0570910i | ||||
\(541\) | 14.9663 | + | 14.9663i | 0.643452 | + | 0.643452i | 0.951402 | − | 0.307950i | \(-0.0996431\pi\) |
−0.307950 | + | 0.951402i | \(0.599643\pi\) | |||||||
\(542\) | −1.73958 | − | 13.9729i | −0.0747212 | − | 0.600189i | ||||
\(543\) | 0.549309 | − | 0.00221444i | 0.0235731 | − | 9.50308e-5i | ||||
\(544\) | 14.2734 | + | 20.0232i | 0.611969 | + | 0.858489i | ||||
\(545\) | −0.812579 | − | 1.40743i | −0.0348071 | − | 0.0602876i | ||||
\(546\) | −6.67048 | − | 51.8732i | −0.285470 | − | 2.21997i | ||||
\(547\) | −5.15670 | + | 1.38173i | −0.220485 | + | 0.0590787i | −0.367370 | − | 0.930075i | \(-0.619742\pi\) |
0.146885 | + | 0.989154i | \(0.453075\pi\) | |||||||
\(548\) | 28.9301 | + | 8.19013i | 1.23583 | + | 0.349865i | ||||
\(549\) | −1.81951 | − | 6.57789i | −0.0776547 | − | 0.280738i | ||||
\(550\) | −4.31299 | − | 0.598739i | −0.183907 | − | 0.0255303i | ||||
\(551\) | −13.5896 | − | 7.84596i | −0.578937 | − | 0.334249i | ||||
\(552\) | −2.48170 | − | 21.7117i | −0.105628 | − | 0.924111i | ||||
\(553\) | −11.8106 | + | 6.81883i | −0.502236 | + | 0.289966i | ||||
\(554\) | −3.57781 | + | 1.45255i | −0.152007 | + | 0.0617129i | ||||
\(555\) | −1.19839 | − | 0.315935i | −0.0508687 | − | 0.0134107i | ||||
\(556\) | 20.2099 | + | 0.284610i | 0.857092 | + | 0.0120702i | ||||
\(557\) | 7.66230 | + | 7.66230i | 0.324662 | + | 0.324662i | 0.850552 | − | 0.525890i | \(-0.176268\pi\) |
−0.525890 | + | 0.850552i | \(0.676268\pi\) | |||||||
\(558\) | −11.6573 | − | 15.1601i | −0.493495 | − | 0.641776i | ||||
\(559\) | 0.0620723 | 0.00262538 | ||||||||
\(560\) | −3.24096 | − | 0.967014i | −0.136956 | − | 0.0408638i | ||||
\(561\) | −2.31716 | + | 4.05106i | −0.0978304 | + | 0.171036i | ||||
\(562\) | 13.8873 | − | 32.8704i | 0.585801 | − | 1.38655i | ||||
\(563\) | 5.71152 | − | 21.3157i | 0.240712 | − | 0.898349i | −0.734779 | − | 0.678307i | \(-0.762714\pi\) |
0.975490 | − | 0.220042i | \(-0.0706194\pi\) | |||||||
\(564\) | −7.08845 | + | 3.99808i | −0.298478 | + | 0.168349i | ||||
\(565\) | 0.500595 | + | 1.86825i | 0.0210602 | + | 0.0785977i | ||||
\(566\) | 1.73880 | − | 12.5254i | 0.0730873 | − | 0.526482i | ||||
\(567\) | 36.7656 | + | 20.4434i | 1.54401 | + | 0.858542i | ||||
\(568\) | −19.9011 | + | 7.75503i | −0.835033 | + | 0.325394i | ||||
\(569\) | −38.6354 | − | 22.3061i | −1.61968 | − | 0.935122i | −0.987002 | − | 0.160706i | \(-0.948623\pi\) |
−0.632676 | − | 0.774416i | \(-0.718044\pi\) | |||||||
\(570\) | 0.769577 | + | 0.103674i | 0.0322340 | + | 0.00434242i | ||||
\(571\) | 9.47469 | + | 2.53873i | 0.396503 | + | 0.106243i | 0.451561 | − | 0.892240i | \(-0.350867\pi\) |
−0.0550573 | + | 0.998483i | \(0.517534\pi\) | |||||||
\(572\) | −5.49016 | + | 1.38853i | −0.229555 | + | 0.0580573i | ||||
\(573\) | 34.7253 | − | 9.45483i | 1.45067 | − | 0.394981i | ||||
\(574\) | −3.46271 | − | 27.8138i | −0.144531 | − | 1.16093i | ||||
\(575\) | −22.1577 | −0.924041 | ||||||||
\(576\) | −16.3807 | − | 17.5406i | −0.682528 | − | 0.730860i | ||||
\(577\) | −0.565932 | −0.0235600 | −0.0117800 | − | 0.999931i | \(-0.503750\pi\) | ||||
−0.0117800 | + | 0.999931i | \(0.503750\pi\) | |||||||
\(578\) | −0.331200 | − | 2.66032i | −0.0137761 | − | 0.110655i | ||||
\(579\) | 6.79593 | − | 25.7780i | 0.282429 | − | 1.07130i | ||||
\(580\) | −3.14070 | + | 0.794321i | −0.130410 | + | 0.0329824i | ||||
\(581\) | 34.7824 | + | 9.31992i | 1.44302 | + | 0.386655i | ||||
\(582\) | 14.9610 | + | 36.4288i | 0.620154 | + | 1.51002i | ||||
\(583\) | −0.394324 | − | 0.227663i | −0.0163312 | − | 0.00942884i | ||||
\(584\) | −7.71402 | + | 3.00598i | −0.319209 | + | 0.124389i | ||||
\(585\) | 2.15683 | + | 1.22217i | 0.0891740 | + | 0.0505304i | ||||
\(586\) | 4.04852 | − | 29.1633i | 0.167243 | − | 1.20473i | ||||
\(587\) | 10.6937 | + | 39.9093i | 0.441375 | + | 1.64723i | 0.725334 | + | 0.688397i | \(0.241685\pi\) |
−0.283960 | + | 0.958836i | \(0.591648\pi\) | |||||||
\(588\) | −0.516917 | + | 51.4305i | −0.0213173 | + | 2.12096i | ||||
\(589\) | −2.04448 | + | 7.63012i | −0.0842415 | + | 0.314394i | ||||
\(590\) | 1.13742 | − | 2.69221i | 0.0468269 | − | 0.110836i | ||||
\(591\) | 2.21716 | − | 0.00893807i | 0.0912017 | − | 0.000367663i | ||||
\(592\) | 4.52370 | − | 15.1613i | 0.185923 | − | 0.623124i | ||||
\(593\) | −12.9281 | −0.530893 | −0.265447 | − | 0.964126i | \(-0.585519\pi\) | ||||
−0.265447 | + | 0.964126i | \(0.585519\pi\) | |||||||
\(594\) | 1.72183 | − | 4.21701i | 0.0706476 | − | 0.173026i | ||||
\(595\) | 2.59896 | + | 2.59896i | 0.106547 | + | 0.106547i | ||||
\(596\) | 10.6584 | + | 0.150098i | 0.436584 | + | 0.00614827i | ||||
\(597\) | −20.1511 | + | 20.3143i | −0.824731 | + | 0.831408i | ||||
\(598\) | −26.7005 | + | 10.8401i | −1.09187 | + | 0.443285i | ||||
\(599\) | −39.9617 | + | 23.0719i | −1.63279 | + | 0.942692i | −0.649563 | + | 0.760308i | \(0.725048\pi\) |
−0.983227 | + | 0.182384i | \(0.941619\pi\) | |||||||
\(600\) | −19.5563 | + | 14.4818i | −0.798382 | + | 0.591219i | ||||
\(601\) | −28.4107 | − | 16.4029i | −1.15890 | − | 0.669090i | −0.207858 | − | 0.978159i | \(-0.566649\pi\) |
−0.951040 | + | 0.309069i | \(0.899983\pi\) | |||||||
\(602\) | −0.0889692 | − | 0.0123509i | −0.00362611 | − | 0.000503385i | ||||
\(603\) | −21.1737 | − | 5.49089i | −0.862259 | − | 0.223606i | ||||
\(604\) | −21.9198 | − | 6.20550i | −0.891905 | − | 0.252498i | ||||
\(605\) | 1.85493 | − | 0.497028i | 0.0754138 | − | 0.0202071i | ||||
\(606\) | 39.8510 | + | 16.6475i | 1.61883 | + | 0.676258i | ||||
\(607\) | −6.36706 | − | 11.0281i | −0.258431 | − | 0.447616i | 0.707391 | − | 0.706823i | \(-0.249872\pi\) |
−0.965822 | + | 0.259207i | \(0.916539\pi\) | |||||||
\(608\) | −1.63910 | + | 9.77699i | −0.0664743 | + | 0.396509i | ||||
\(609\) | 36.4986 | + | 62.6330i | 1.47900 | + | 2.53802i | ||||
\(610\) | 0.0719016 | + | 0.577541i | 0.00291121 | + | 0.0233840i | ||||
\(611\) | 7.58845 | + | 7.58845i | 0.306996 | + | 0.306996i | ||||
\(612\) | 6.59862 | + | 25.2329i | 0.266734 | + | 1.01998i | ||||
\(613\) | 29.9303 | − | 29.9303i | 1.20888 | − | 1.20888i | 0.237483 | − | 0.971392i | \(-0.423677\pi\) |
0.971392 | − | 0.237483i | \(-0.0763225\pi\) | |||||||
\(614\) | 14.0711 | − | 18.0729i | 0.567862 | − | 0.729362i | ||||
\(615\) | 1.15323 | + | 0.659631i | 0.0465026 | + | 0.0265989i | ||||
\(616\) | 8.14542 | − | 0.897790i | 0.328188 | − | 0.0361730i | ||||
\(617\) | −2.50740 | + | 1.44765i | −0.100944 | + | 0.0582802i | −0.549622 | − | 0.835413i | \(-0.685228\pi\) |
0.448678 | + | 0.893693i | \(0.351895\pi\) | |||||||
\(618\) | −3.04331 | + | 22.5907i | −0.122420 | + | 0.908731i | ||||
\(619\) | 1.48762 | + | 5.55188i | 0.0597926 | + | 0.223149i | 0.989356 | − | 0.145512i | \(-0.0464830\pi\) |
−0.929564 | + | 0.368661i | \(0.879816\pi\) | |||||||
\(620\) | 0.795433 | + | 1.42366i | 0.0319454 | + | 0.0571755i | ||||
\(621\) | 5.72788 | − | 22.4598i | 0.229852 | − | 0.901280i | ||||
\(622\) | −15.4035 | − | 20.3696i | −0.617624 | − | 0.816746i | ||||
\(623\) | −7.45105 | + | 12.9056i | −0.298520 | + | 0.517052i | ||||
\(624\) | −16.4809 | + | 27.0183i | −0.659762 | + | 1.08160i | ||||
\(625\) | 12.2551 | + | 21.2265i | 0.490204 | + | 0.849059i | ||||
\(626\) | 14.0975 | − | 33.3680i | 0.563451 | − | 1.33365i | ||||
\(627\) | −1.81539 | + | 0.494286i | −0.0724999 | + | 0.0197399i | ||||
\(628\) | −0.159526 | + | 11.3278i | −0.00636578 | + | 0.452029i | ||||
\(629\) | −12.1580 | + | 12.1580i | −0.484770 | + | 0.484770i | ||||
\(630\) | −2.84824 | − | 2.18091i | −0.113476 | − | 0.0868895i | ||||
\(631\) | 33.4420i | 1.33130i | 0.746262 | + | 0.665652i | \(0.231846\pi\) | ||||
−0.746262 | + | 0.665652i | \(0.768154\pi\) | |||||||
\(632\) | 8.15730 | + | 1.24973i | 0.324480 | + | 0.0497118i | ||||
\(633\) | −39.0462 | + | 22.7537i | −1.55195 | + | 0.904379i | ||||
\(634\) | −1.82464 | − | 4.49432i | −0.0724657 | − | 0.178492i | ||||
\(635\) | −2.01438 | − | 0.539750i | −0.0799381 | − | 0.0214193i | ||||
\(636\) | −2.46441 | + | 0.633860i | −0.0977202 | + | 0.0251342i | ||||
\(637\) | 65.5126 | − | 17.5540i | 2.59570 | − | 0.695516i | ||||
\(638\) | 6.26078 | − | 4.73440i | 0.247867 | − | 0.187437i | ||||
\(639\) | −22.6536 | + | 0.182651i | −0.896164 | + | 0.00722556i | ||||
\(640\) | 1.16440 | + | 1.68310i | 0.0460269 | + | 0.0665305i | ||||
\(641\) | 9.42170 | − | 16.3189i | 0.372135 | − | 0.644557i | −0.617759 | − | 0.786368i | \(-0.711959\pi\) |
0.989894 | + | 0.141811i | \(0.0452925\pi\) | |||||||
\(642\) | 4.20578 | + | 32.7064i | 0.165989 | + | 1.29082i | ||||
\(643\) | 3.18391 | − | 11.8825i | 0.125561 | − | 0.468601i | −0.874298 | − | 0.485390i | \(-0.838678\pi\) |
0.999859 | + | 0.0167890i | \(0.00534435\pi\) | |||||||
\(644\) | 40.4272 | − | 10.2245i | 1.59305 | − | 0.402903i | ||||
\(645\) | 0.00299840 | − | 0.00302267i | 0.000118062 | − | 0.000119018i | ||||
\(646\) | 6.61833 | − | 8.50057i | 0.260395 | − | 0.334451i | ||||
\(647\) | − | 8.72393i | − | 0.342973i | −0.985186 | − | 0.171487i | \(-0.945143\pi\) | ||
0.985186 | − | 0.171487i | \(-0.0548570\pi\) | |||||||
\(648\) | −9.62388 | − | 23.5665i | −0.378062 | − | 0.925780i | ||||
\(649\) | 7.08134i | 0.277967i | ||||||||
\(650\) | 25.3201 | + | 19.7136i | 0.993135 | + | 0.773230i | ||||
\(651\) | 25.6996 | − | 25.9077i | 1.00725 | − | 1.01540i | ||||
\(652\) | −36.4684 | − | 21.7454i | −1.42821 | − | 0.851616i | ||||
\(653\) | −5.07099 | + | 18.9252i | −0.198443 | + | 0.740600i | 0.792906 | + | 0.609345i | \(0.208567\pi\) |
−0.991349 | + | 0.131255i | \(0.958099\pi\) | |||||||
\(654\) | 21.8262 | − | 2.80667i | 0.853470 | − | 0.109749i | ||||
\(655\) | 0.320517 | − | 0.555152i | 0.0125237 | − | 0.0216916i | ||||
\(656\) | −8.89063 | + | 14.4438i | −0.347121 | + | 0.563935i | ||||
\(657\) | −8.78094 | + | 0.0707987i | −0.342577 | + | 0.00276212i | ||||
\(658\) | −9.36672 | − | 12.3866i | −0.365153 | − | 0.482878i | ||||
\(659\) | 37.3628 | − | 10.0113i | 1.45545 | − | 0.389986i | 0.557533 | − | 0.830155i | \(-0.311748\pi\) |
0.897915 | + | 0.440168i | \(0.145081\pi\) | |||||||
\(660\) | −0.197586 | + | 0.334422i | −0.00769104 | + | 0.0130174i | ||||
\(661\) | −26.6308 | − | 7.13570i | −1.03582 | − | 0.277546i | −0.299438 | − | 0.954116i | \(-0.596799\pi\) |
−0.736379 | + | 0.676569i | \(0.763466\pi\) | |||||||
\(662\) | −20.6515 | + | 8.38428i | −0.802644 | + | 0.325864i | ||||
\(663\) | 29.7157 | − | 17.3164i | 1.15406 | − | 0.672515i | ||||
\(664\) | −12.8969 | − | 17.5636i | −0.500498 | − | 0.681600i | ||||
\(665\) | 1.48177i | 0.0574608i | ||||||||
\(666\) | 10.2023 | − | 13.3241i | 0.395332 | − | 0.516298i | ||||
\(667\) | 28.2435 | − | 28.2435i | 1.09359 | − | 1.09359i | ||||
\(668\) | 12.9472 | − | 12.5876i | 0.500942 | − | 0.487029i | ||||
\(669\) | −21.6565 | + | 5.89651i | −0.837288 | + | 0.227972i | ||||
\(670\) | 1.71827 | + | 0.725947i | 0.0663827 | + | 0.0280458i | ||||
\(671\) | −0.705075 | − | 1.22123i | −0.0272191 | − | 0.0471449i | ||||
\(672\) | 28.9983 | − | 35.4465i | 1.11863 | − | 1.36738i | ||||
\(673\) | 10.0608 | − | 17.4258i | 0.387815 | − | 0.671716i | −0.604340 | − | 0.796726i | \(-0.706563\pi\) |
0.992155 | + | 0.125011i | \(0.0398965\pi\) | |||||||
\(674\) | −19.5647 | + | 14.7948i | −0.753603 | + | 0.569875i | ||||
\(675\) | −24.8486 | + | 6.98133i | −0.956424 | + | 0.268711i | ||||
\(676\) | 15.1388 | + | 4.28579i | 0.582261 | + | 0.164838i | ||||
\(677\) | −5.24998 | − | 19.5932i | −0.201773 | − | 0.753027i | −0.990409 | − | 0.138167i | \(-0.955879\pi\) |
0.788636 | − | 0.614860i | \(-0.210788\pi\) | |||||||
\(678\) | −25.9554 | − | 3.49659i | −0.996811 | − | 0.134286i | ||||
\(679\) | −65.0798 | + | 37.5738i | −2.49753 | + | 1.44195i | ||||
\(680\) | −0.243667 | − | 2.21073i | −0.00934422 | − | 0.0847778i | ||||
\(681\) | 20.4528 | + | 11.6988i | 0.783755 | + | 0.448298i | ||||
\(682\) | −3.11779 | − | 2.42743i | −0.119386 | − | 0.0929512i | ||||
\(683\) | −18.4322 | + | 18.4322i | −0.705287 | + | 0.705287i | −0.965540 | − | 0.260253i | \(-0.916194\pi\) |
0.260253 | + | 0.965540i | \(0.416194\pi\) | |||||||
\(684\) | −5.31211 | + | 9.07426i | −0.203113 | + | 0.346963i | ||||
\(685\) | −1.92300 | − | 1.92300i | −0.0734741 | − | 0.0734741i | ||||
\(686\) | −51.4760 | + | 6.40856i | −1.96536 | + | 0.244680i | ||||
\(687\) | 14.6593 | + | 25.1559i | 0.559286 | + | 0.959756i | ||||
\(688\) | 0.0373363 | + | 0.0395009i | 0.00142343 | + | 0.00150596i | ||||
\(689\) | 1.67776 | + | 2.90597i | 0.0639177 | + | 0.110709i | ||||
\(690\) | −0.761898 | + | 1.82384i | −0.0290050 | + | 0.0694324i | ||||
\(691\) | 15.6519 | − | 4.19392i | 0.595427 | − | 0.159544i | 0.0514946 | − | 0.998673i | \(-0.483601\pi\) |
0.543932 | + | 0.839129i | \(0.316935\pi\) | |||||||
\(692\) | −9.04716 | + | 5.05487i | −0.343921 | + | 0.192157i | ||||
\(693\) | 8.41354 | + | 2.18185i | 0.319604 | + | 0.0828817i | ||||
\(694\) | 1.39352 | − | 10.0381i | 0.0528972 | − | 0.381043i | ||||
\(695\) | −1.58322 | − | 0.914072i | −0.0600549 | − | 0.0346727i | ||||
\(696\) | 6.46817 | − | 43.3870i | 0.245176 | − | 1.64458i | ||||
\(697\) | 15.9623 | − | 9.21585i | 0.604616 | − | 0.349075i | ||||
\(698\) | 0.605875 | + | 1.49234i | 0.0229327 | + | 0.0564861i | ||||
\(699\) | 12.2581 | − | 12.3573i | 0.463644 | − | 0.467397i | ||||
\(700\) | −32.3691 | − | 33.2939i | −1.22344 | − | 1.25839i | ||||
\(701\) | 2.97647 | + | 2.97647i | 0.112420 | + | 0.112420i | 0.761079 | − | 0.648659i | \(-0.224670\pi\) |
−0.648659 | + | 0.761079i | \(0.724670\pi\) | |||||||
\(702\) | −26.5277 | + | 20.5692i | −1.00122 | + | 0.776335i | ||||
\(703\) | −6.93177 | −0.261437 | ||||||||
\(704\) | −4.18594 | − | 2.65858i | −0.157764 | − | 0.100199i | ||||
\(705\) | 0.736087 | − | 0.00296740i | 0.0277226 | − | 0.000111759i | ||||
\(706\) | 31.9184 | + | 13.4851i | 1.20126 | + | 0.507518i | ||||
\(707\) | −21.3299 | + | 79.6042i | −0.802192 | + | 2.99382i | ||||
\(708\) | 27.7008 | + | 28.2632i | 1.04106 | + | 1.06220i | ||||
\(709\) | 10.0033 | + | 37.3329i | 0.375682 | + | 1.40207i | 0.852345 | + | 0.522980i | \(0.175180\pi\) |
−0.476663 | + | 0.879086i | \(0.658154\pi\) | |||||||
\(710\) | 1.91352 | + | 0.265639i | 0.0718132 | + | 0.00996926i | ||||
\(711\) | 7.61542 | + | 4.31528i | 0.285601 | + | 0.161836i | ||||
\(712\) | 8.40222 | − | 3.27416i | 0.314887 | − | 0.122704i | ||||
\(713\) | −17.4131 | − | 10.0535i | −0.652125 | − | 0.376505i | ||||
\(714\) | −46.0375 | + | 18.9072i | −1.72291 | + | 0.707585i | ||||
\(715\) | 0.494761 | + | 0.132571i | 0.0185030 | + | 0.00495787i | ||||
\(716\) | −4.76374 | − | 2.84053i | −0.178029 | − | 0.106156i | ||||
\(717\) | −2.98803 | + | 11.3341i | −0.111590 | + | 0.423278i | ||||
\(718\) | 16.3997 | − | 2.04170i | 0.612032 | − | 0.0761956i | ||||
\(719\) | 38.3674 | 1.43086 | 0.715431 | − | 0.698683i | \(-0.246230\pi\) | ||||
0.715431 | + | 0.698683i | \(0.246230\pi\) | |||||||
\(720\) | 0.519578 | + | 2.10767i | 0.0193635 | + | 0.0785483i | ||||
\(721\) | −43.4970 | −1.61991 | ||||||||
\(722\) | −22.3543 | + | 2.78302i | −0.831939 | + | 0.103573i | ||||
\(723\) | 3.60327 | − | 0.981080i | 0.134007 | − | 0.0364867i | ||||
\(724\) | 0.324850 | − | 0.544794i | 0.0120730 | − | 0.0202471i | ||||
\(725\) | −42.9625 | − | 11.5118i | −1.59559 | − | 0.427536i | ||||
\(726\) | −3.47168 | + | 25.7704i | −0.128846 | + | 0.956431i | ||||
\(727\) | −14.8899 | − | 8.59667i | −0.552235 | − | 0.318833i | 0.197788 | − | 0.980245i | \(-0.436624\pi\) |
−0.750023 | + | 0.661412i | \(0.769958\pi\) | |||||||
\(728\) | −55.2937 | − | 24.2840i | −2.04932 | − | 0.900025i | ||||
\(729\) | −0.653006 | − | 26.9921i | −0.0241854 | − | 0.999707i | ||||
\(730\) | 0.741714 | + | 0.102966i | 0.0274521 | + | 0.00381096i | ||||
\(731\) | −0.0152878 | − | 0.0570550i | −0.000565441 | − | 0.00211026i | ||||
\(732\) | −7.59130 | − | 2.11608i | −0.280583 | − | 0.0782126i | ||||
\(733\) | 3.41130 | − | 12.7311i | 0.125999 | − | 0.470235i | −0.873874 | − | 0.486152i | \(-0.838400\pi\) |
0.999873 | + | 0.0159168i | \(0.00506670\pi\) | |||||||
\(734\) | 14.6403 | + | 6.18531i | 0.540382 | + | 0.228304i | ||||
\(735\) | 2.30977 | − | 4.03815i | 0.0851972 | − | 0.148949i | ||||
\(736\) | −22.9586 | − | 10.4711i | −0.846266 | − | 0.385970i | ||||
\(737\) | −4.51959 | −0.166481 | ||||||||
\(738\) | −14.2609 | + | 10.9659i | −0.524951 | + | 0.403662i | ||||
\(739\) | −15.2048 | − | 15.2048i | −0.559316 | − | 0.559316i | 0.369797 | − | 0.929113i | \(-0.379427\pi\) |
−0.929113 | + | 0.369797i | \(0.879427\pi\) | |||||||
\(740\) | −1.02606 | + | 0.997562i | −0.0377187 | + | 0.0366711i | ||||
\(741\) | 13.4075 | + | 3.53466i | 0.492536 | + | 0.129849i | ||||
\(742\) | −1.82655 | − | 4.49901i | −0.0670546 | − | 0.165164i | ||||
\(743\) | 36.6127 | − | 21.1384i | 1.34319 | − | 0.775491i | 0.355916 | − | 0.934518i | \(-0.384169\pi\) |
0.987274 | + | 0.159027i | \(0.0508356\pi\) | |||||||
\(744\) | −21.9394 | + | 2.50773i | −0.804339 | + | 0.0919378i | ||||
\(745\) | −0.834963 | − | 0.482066i | −0.0305907 | − | 0.0176615i | ||||
\(746\) | −2.32897 | + | 16.7766i | −0.0852696 | + | 0.614236i | ||||
\(747\) | −6.16161 | − | 22.2755i | −0.225441 | − | 0.815017i | ||||
\(748\) | 2.62847 | + | 4.70442i | 0.0961065 | + | 0.172010i | ||||
\(749\) | −60.7803 | + | 16.2860i | −2.22086 | + | 0.595079i | ||||
\(750\) | 4.38050 | − | 0.563297i | 0.159953 | − | 0.0205687i | ||||
\(751\) | −9.72823 | − | 16.8498i | −0.354988 | − | 0.614857i | 0.632128 | − | 0.774864i | \(-0.282182\pi\) |
−0.987116 | + | 0.160007i | \(0.948848\pi\) | |||||||
\(752\) | −0.264624 | + | 9.39349i | −0.00964983 | + | 0.342545i | ||||
\(753\) | −8.94764 | + | 0.0360708i | −0.326070 | + | 0.00131449i | ||||
\(754\) | −57.4025 | + | 7.14639i | −2.09048 | + | 0.260256i | ||||
\(755\) | 1.45702 | + | 1.45702i | 0.0530264 | + | 0.0530264i | ||||
\(756\) | 42.1153 | − | 24.2038i | 1.53172 | − | 0.880284i | ||||
\(757\) | 26.9716 | − | 26.9716i | 0.980300 | − | 0.980300i | −0.0195093 | − | 0.999810i | \(-0.506210\pi\) |
0.999810 | + | 0.0195093i | \(0.00621039\pi\) | |||||||
\(758\) | −18.3272 | − | 14.2691i | −0.665673 | − | 0.518276i | ||||
\(759\) | −0.0193064 | − | 4.78910i | −0.000700778 | − | 0.173833i | ||||
\(760\) | 0.560754 | − | 0.699679i | 0.0203407 | − | 0.0253800i | ||||
\(761\) | −15.0417 | + | 8.68435i | −0.545263 | + | 0.314808i | −0.747209 | − | 0.664589i | \(-0.768607\pi\) |
0.201946 | + | 0.979397i | \(0.435273\pi\) | |||||||
\(762\) | 17.2578 | − | 22.3512i | 0.625183 | − | 0.809698i | ||||
\(763\) | 10.8683 | + | 40.5609i | 0.393457 | + | 1.46840i | ||||
\(764\) | 11.3199 | − | 39.9856i | 0.409541 | − | 1.44663i | ||||
\(765\) | 0.592172 | − | 2.28350i | 0.0214100 | − | 0.0825603i | ||||
\(766\) | −32.7785 | + | 24.7871i | −1.18434 | + | 0.895595i | ||||
\(767\) | 26.0930 | − | 45.1944i | 0.942163 | − | 1.63187i | ||||
\(768\) | −27.1069 | + | 5.76356i | −0.978134 | + | 0.207974i | ||||
\(769\) | 15.0664 | + | 26.0957i | 0.543307 | + | 0.941036i | 0.998711 | + | 0.0507510i | \(0.0161615\pi\) |
−0.455404 | + | 0.890285i | \(0.650505\pi\) | |||||||
\(770\) | −0.682770 | − | 0.288461i | −0.0246053 | − | 0.0103954i | ||||
\(771\) | −4.50096 | + | 17.0728i | −0.162098 | + | 0.614862i | ||||
\(772\) | −21.4581 | − | 22.0711i | −0.772294 | − | 0.794357i | ||||
\(773\) | −9.37945 | + | 9.37945i | −0.337355 | + | 0.337355i | −0.855371 | − | 0.518016i | \(-0.826671\pi\) |
0.518016 | + | 0.855371i | \(0.326671\pi\) | |||||||
\(774\) | 0.0221164 | + | 0.0532398i | 0.000794958 | + | 0.00191367i | ||||
\(775\) | 22.3901i | 0.804278i | ||||||||
\(776\) | 44.9492 | + | 6.88641i | 1.61358 | + | 0.247208i | ||||
\(777\) | 27.7967 | + | 15.8993i | 0.997200 | + | 0.570386i | ||||
\(778\) | 18.5142 | − | 7.51655i | 0.663766 | − | 0.269481i | ||||
\(779\) | 7.17757 | + | 1.92322i | 0.257163 | + | 0.0689067i | ||||
\(780\) | 2.49329 | − | 1.40628i | 0.0892742 | − | 0.0503530i | ||||
\(781\) | −4.52131 | + | 1.21148i | −0.161785 | + | 0.0433502i | ||||
\(782\) | 16.5400 | + | 21.8725i | 0.591469 | + | 0.782159i | ||||
\(783\) | 22.7747 | − | 40.5723i | 0.813902 | − | 1.44994i | ||||
\(784\) | 50.5765 | + | 31.1315i | 1.80630 | + | 1.11184i | ||||
\(785\) | 0.512344 | − | 0.887406i | 0.0182863 | − | 0.0316729i | ||||
\(786\) | 5.26336 | + | 6.90226i | 0.187738 | + | 0.246195i | ||||
\(787\) | −3.39895 | + | 12.6850i | −0.121159 | + | 0.452173i | −0.999674 | − | 0.0255430i | \(-0.991869\pi\) |
0.878514 | + | 0.477716i | \(0.158535\pi\) | |||||||
\(788\) | 1.31118 | − | 2.19893i | 0.0467089 | − | 0.0783337i | ||||
\(789\) | 7.66786 | + | 28.1622i | 0.272983 | + | 1.00260i | ||||
\(790\) | −0.588966 | − | 0.458554i | −0.0209545 | − | 0.0163146i | ||||
\(791\) | − | 49.9756i | − | 1.77693i | ||||||
\(792\) | −3.14710 | − | 4.21422i | −0.111827 | − | 0.149746i | ||||
\(793\) | 10.3921i | 0.369035i | ||||||||
\(794\) | −2.26069 | + | 2.90363i | −0.0802291 | + | 0.103046i | ||||
\(795\) | 0.222554 | + | 0.0586725i | 0.00789316 | + | 0.00208090i | ||||
\(796\) | 8.10117 | + | 32.0316i | 0.287138 | + | 1.13533i | ||||
\(797\) | 4.30559 | − | 16.0687i | 0.152512 | − | 0.569181i | −0.846794 | − | 0.531921i | \(-0.821470\pi\) |
0.999306 | − | 0.0372602i | \(-0.0118630\pi\) | |||||||
\(798\) | −18.5139 | − | 7.73405i | −0.655383 | − | 0.273782i | ||||
\(799\) | 5.10611 | − | 8.84405i | 0.180641 | − | 0.312880i | ||||
\(800\) | 2.68486 | + | 27.9706i | 0.0949240 | + | 0.988910i | ||||
\(801\) | 9.56432 | − | 0.0771149i | 0.337939 | − | 0.00272472i | ||||
\(802\) | 32.8895 | − | 24.8710i | 1.16137 | − | 0.878227i | ||||
\(803\) | −1.75254 | + | 0.469592i | −0.0618458 | + | 0.0165715i | ||||
\(804\) | −18.0387 | + | 17.6797i | −0.636176 | + | 0.623515i | ||||
\(805\) | −3.64320 | − | 0.976194i | −0.128406 | − | 0.0344063i | ||||
\(806\) | 10.9538 | + | 26.9806i | 0.385832 | + | 0.950351i | ||||
\(807\) | −0.179934 | − | 44.6339i | −0.00633396 | − | 1.57119i | ||||
\(808\) | 40.1967 | − | 29.5163i | 1.41411 | − | 1.03838i | ||||
\(809\) | 6.67548i | 0.234697i | 0.993091 | + | 0.117349i | \(0.0374395\pi\) | ||||
−0.993091 | + | 0.117349i | \(0.962560\pi\) | |||||||
\(810\) | −0.279781 | + | 2.28539i | −0.00983049 | + | 0.0803003i | ||||
\(811\) | −18.4521 | + | 18.4521i | −0.647940 | + | 0.647940i | −0.952495 | − | 0.304555i | \(-0.901492\pi\) |
0.304555 | + | 0.952495i | \(0.401492\pi\) | |||||||
\(812\) | 83.6979 | + | 1.17869i | 2.93722 | + | 0.0413639i | ||||
\(813\) | −12.2434 | − | 12.1451i | −0.429395 | − | 0.425947i | ||||
\(814\) | 1.34943 | − | 3.19401i | 0.0472974 | − | 0.111950i | ||||
\(815\) | 1.92020 | + | 3.32589i | 0.0672618 | + | 0.116501i | ||||
\(816\) | 28.8936 | + | 8.49434i | 1.01148 | + | 0.297361i | ||||
\(817\) | 0.0119066 | − | 0.0206229i | 0.000416560 | − | 0.000721502i | ||||
\(818\) | 9.04463 | + | 11.9606i | 0.316238 | + | 0.418194i | ||||
\(819\) | −45.6572 | − | 44.9268i | −1.59539 | − | 1.56987i | ||||
\(820\) | 1.33922 | − | 0.748255i | 0.0467676 | − | 0.0261302i | ||||
\(821\) | −3.30305 | − | 12.3271i | −0.115277 | − | 0.430220i | 0.884030 | − | 0.467430i | \(-0.154820\pi\) |
−0.999307 | + | 0.0372093i | \(0.988153\pi\) | |||||||
\(822\) | 34.0637 | − | 13.9897i | 1.18811 | − | 0.487946i | ||||
\(823\) | 7.14088 | − | 4.12279i | 0.248915 | − | 0.143711i | −0.370352 | − | 0.928891i | \(-0.620763\pi\) |
0.619268 | + | 0.785180i | \(0.287430\pi\) | |||||||
\(824\) | 20.5389 | + | 16.4608i | 0.715505 | + | 0.573438i | ||||
\(825\) | −4.60770 | + | 2.68508i | −0.160420 | + | 0.0934826i | ||||
\(826\) | −46.3921 | + | 59.5859i | −1.61419 | + | 2.07326i | ||||
\(827\) | −24.9396 | + | 24.9396i | −0.867236 | + | 0.867236i | −0.992166 | − | 0.124930i | \(-0.960130\pi\) |
0.124930 | + | 0.992166i | \(0.460130\pi\) | |||||||
\(828\) | −18.8111 | − | 19.0389i | −0.653729 | − | 0.661647i | ||||
\(829\) | 22.7949 | + | 22.7949i | 0.791701 | + | 0.791701i | 0.981771 | − | 0.190069i | \(-0.0608713\pi\) |
−0.190069 | + | 0.981771i | \(0.560871\pi\) | |||||||
\(830\) | 0.243489 | + | 1.95579i | 0.00845162 | + | 0.0678866i | ||||
\(831\) | −2.34810 | + | 4.10516i | −0.0814548 | + | 0.142407i | ||||
\(832\) | 16.9192 | + | 32.3917i | 0.586568 | + | 1.12298i | ||||
\(833\) | −32.2703 | − | 55.8938i | −1.11810 | − | 1.93661i | ||||
\(834\) | 19.6843 | − | 15.0104i | 0.681611 | − | 0.519767i | ||||
\(835\) | −1.57764 | + | 0.422726i | −0.0545964 | + | 0.0146291i | ||||
\(836\) | −0.591791 | + | 2.09039i | −0.0204675 | + | 0.0722978i | ||||
\(837\) | −22.6954 | − | 5.78797i | −0.784467 | − | 0.200061i | ||||
\(838\) | −20.0526 | − | 2.78375i | −0.692706 | − | 0.0961629i | ||||
\(839\) | −29.5746 | − | 17.0749i | −1.02103 | − | 0.589492i | −0.106628 | − | 0.994299i | \(-0.534005\pi\) |
−0.914402 | + | 0.404807i | \(0.867339\pi\) | |||||||
\(840\) | −3.85349 | + | 1.51954i | −0.132958 | + | 0.0524292i | ||||
\(841\) | 44.3213 | − | 25.5889i | 1.52832 | − | 0.882377i | ||||
\(842\) | 26.1620 | − | 10.6215i | 0.901603 | − | 0.366040i | ||||
\(843\) | −11.4813 | − | 42.1683i | −0.395439 | − | 1.45235i | ||||
\(844\) | −0.734811 | + | 52.1784i | −0.0252932 | + | 1.79605i | ||||
\(845\) | −1.00628 | − | 1.00628i | −0.0346171 | − | 0.0346171i | ||||
\(846\) | −3.80489 | + | 9.21244i | −0.130815 | + | 0.316730i | ||||
\(847\) | −49.6195 | −1.70495 | ||||||||
\(848\) | −0.840101 | + | 2.81561i | −0.0288492 | + | 0.0966886i | ||||
\(849\) | −7.79777 | − | 13.3813i | −0.267619 | − | 0.459244i | ||||
\(850\) | 11.8840 | − | 28.1287i | 0.407619 | − | 0.964808i | ||||
\(851\) | 4.56665 | − | 17.0430i | 0.156543 | − | 0.584225i | ||||
\(852\) | −13.3065 | + | 22.5218i | −0.455874 | + | 0.771583i | ||||
\(853\) | 5.84290 | + | 21.8060i | 0.200057 | + | 0.746624i | 0.990900 | + | 0.134604i | \(0.0429761\pi\) |
−0.790842 | + | 0.612020i | \(0.790357\pi\) | |||||||
\(854\) | 2.06778 | − | 14.8952i | 0.0707580 | − | 0.509702i | ||||
\(855\) | 0.819772 | − | 0.482150i | 0.0280356 | − | 0.0164892i | ||||
\(856\) | 34.8630 | + | 15.3112i | 1.19159 | + | 0.523327i | ||||
\(857\) | 44.1400 | + | 25.4842i | 1.50779 | + | 0.870525i | 0.999959 | + | 0.00907074i | \(0.00288735\pi\) |
0.507835 | + | 0.861454i | \(0.330446\pi\) | |||||||
\(858\) | −4.23877 | + | 5.48978i | −0.144709 | + | 0.187418i | ||||
\(859\) | 17.4277 | + | 4.66973i | 0.594624 | + | 0.159329i | 0.543566 | − | 0.839367i | \(-0.317074\pi\) |
0.0510584 | + | 0.998696i | \(0.483741\pi\) | |||||||
\(860\) | −0.00120542 | − | 0.00476615i | −4.11044e−5 | − | 0.000162525i | ||||
\(861\) | −24.3711 | − | 24.1754i | −0.830564 | − | 0.823894i | ||||
\(862\) | 1.55874 | + | 12.5204i | 0.0530908 | + | 0.426446i | ||||
\(863\) | −45.5523 | −1.55062 | −0.775309 | − | 0.631583i | \(-0.782406\pi\) | ||||
−0.775309 | + | 0.631583i | \(0.782406\pi\) | |||||||
\(864\) | −29.0460 | − | 4.50908i | −0.988164 | − | 0.153402i | ||||
\(865\) | 0.937369 | 0.0318715 | ||||||||
\(866\) | 5.20963 | + | 41.8457i | 0.177030 | + | 1.42197i | ||||
\(867\) | −2.33103 | − | 2.31231i | −0.0791660 | − | 0.0785303i | ||||
\(868\) | −10.3318 | − | 40.8513i | −0.350683 | − | 1.38658i | ||||
\(869\) | 1.74692 | + | 0.468086i | 0.0592603 | + | 0.0158787i | ||||
\(870\) | −2.42483 | + | 3.14048i | −0.0822093 | + | 0.106472i | ||||
\(871\) | 28.8448 | + | 16.6536i | 0.977369 | + | 0.564284i | ||||
\(872\) | 10.2177 | − | 23.2653i | 0.346016 | − | 0.787864i | ||||
\(873\) | 41.9633 | + | 23.7785i | 1.42024 | + | 0.804780i | ||||
\(874\) | −1.52014 | + | 10.9503i | −0.0514196 | + | 0.370399i | ||||
\(875\) | 2.18125 | + | 8.14054i | 0.0737398 | + | 0.275201i | ||||
\(876\) | −5.15784 | + | 8.72983i | −0.174267 | + | 0.294954i | ||||
\(877\) | −5.03203 | + | 18.7798i | −0.169919 | + | 0.634148i | 0.827442 | + | 0.561551i | \(0.189795\pi\) |
−0.997361 | + | 0.0725968i | \(0.976871\pi\) | |||||||
\(878\) | 17.1957 | − | 40.7012i | 0.580327 | − | 1.37360i | ||||
\(879\) | −18.1558 | − | 31.1561i | −0.612381 | − | 1.05087i | ||||
\(880\) | 0.213234 | + | 0.394592i | 0.00718810 | + | 0.0133017i | ||||
\(881\) | 51.8921 | 1.74829 | 0.874145 | − | 0.485666i | \(-0.161423\pi\) | ||||
0.874145 | + | 0.485666i | \(0.161423\pi\) | |||||||
\(882\) | 38.3984 | + | 49.9361i | 1.29294 | + | 1.68143i | ||||
\(883\) | −1.40472 | − | 1.40472i | −0.0472726 | − | 0.0472726i | 0.683075 | − | 0.730348i | \(-0.260642\pi\) |
−0.730348 | + | 0.683075i | \(0.760642\pi\) | |||||||
\(884\) | 0.559219 | − | 39.7097i | 0.0188086 | − | 1.33558i | ||||
\(885\) | −0.940365 | − | 3.45374i | −0.0316100 | − | 0.116096i | ||||
\(886\) | 14.3804 | − | 5.83829i | 0.483120 | − | 0.196141i | ||||
\(887\) | −6.52145 | + | 3.76516i | −0.218969 | + | 0.126422i | −0.605473 | − | 0.795866i | \(-0.707016\pi\) |
0.386504 | + | 0.922288i | \(0.373683\pi\) | |||||||
\(888\) | −7.10845 | − | 18.0267i | −0.238544 | − | 0.604937i | ||||
\(889\) | 46.6654 | + | 26.9423i | 1.56511 | + | 0.903616i | ||||
\(890\) | −0.807885 | − | 0.112152i | −0.0270804 | − | 0.00375936i | ||||
\(891\) | −1.53057 | − | 5.36463i | −0.0512762 | − | 0.179722i | ||||
\(892\) | −7.05968 | + | 24.9371i | −0.236376 | + | 0.834954i | ||||
\(893\) | 3.97679 | − | 1.06558i | 0.133078 | − | 0.0356582i | ||||
\(894\) | 10.3812 | − | 7.91622i | 0.347198 | − | 0.264758i | ||||
\(895\) | 0.250830 | + | 0.434449i | 0.00838431 | + | 0.0145220i | ||||
\(896\) | −17.8054 | − | 49.7940i | −0.594837 | − | 1.66350i | ||||
\(897\) | −17.5234 | + | 30.6360i | −0.585091 | + | 1.02291i | ||||
\(898\) | −4.80409 | − | 38.5883i | −0.160315 | − | 1.28771i | ||||
\(899\) | −28.5398 | − | 28.5398i | −0.951855 | − | 0.951855i | ||||
\(900\) | −7.88689 | + | 28.7412i | −0.262896 | + | 0.958039i | ||||
\(901\) | 2.25787 | − | 2.25787i | 0.0752204 | − | 0.0752204i | ||||
\(902\) | −2.28346 | + | 2.93287i | −0.0760309 | + | 0.0976539i | ||||
\(903\) | −0.0950485 | + | 0.0553884i | −0.00316302 | + | 0.00184321i | ||||
\(904\) | −18.9125 | + | 23.5980i | −0.629019 | + | 0.784857i | ||||
\(905\) | −0.0496848 | + | 0.0286855i | −0.00165158 | + | 0.000953539i | ||||
\(906\) | −25.8094 | + | 10.5997i | −0.857460 | + | 0.352152i | ||||
\(907\) | −5.17036 | − | 19.2960i | −0.171679 | − | 0.640714i | −0.997094 | − | 0.0761873i | \(-0.975725\pi\) |
0.825415 | − | 0.564527i | \(-0.190941\pi\) | |||||||
\(908\) | 23.7515 | − | 13.2705i | 0.788221 | − | 0.440398i | ||||
\(909\) | 50.9804 | − | 14.1017i | 1.69091 | − | 0.467723i | ||||
\(910\) | 3.29465 | + | 4.35685i | 0.109217 | + | 0.144428i | ||||
\(911\) | −20.6774 | + | 35.8143i | −0.685073 | + | 1.18658i | 0.288341 | + | 0.957528i | \(0.406896\pi\) |
−0.973414 | + | 0.229053i | \(0.926437\pi\) | |||||||
\(912\) | 5.81523 | + | 10.6582i | 0.192561 | + | 0.352929i | ||||
\(913\) | −2.38768 | − | 4.13558i | −0.0790206 | − | 0.136868i | ||||
\(914\) | −10.6885 | + | 25.2990i | −0.353544 | + | 0.836818i | ||||
\(915\) | 0.506054 | + | 0.501991i | 0.0167296 | + | 0.0165953i | ||||
\(916\) | 33.6164 | + | 0.473408i | 1.11072 | + | 0.0156419i | ||||
\(917\) | −11.7121 | + | 11.7121i | −0.386767 | + | 0.386767i | ||||
\(918\) | 25.4401 | + | 19.3175i | 0.839650 | + | 0.637571i | ||||
\(919\) | 8.25699i | 0.272373i | 0.990683 | + | 0.136187i | \(0.0434847\pi\) | ||||
−0.990683 | + | 0.136187i | \(0.956515\pi\) | |||||||
\(920\) | 1.35086 | + | 1.83966i | 0.0445365 | + | 0.0606518i | ||||
\(921\) | −0.113087 | − | 28.0521i | −0.00372635 | − | 0.924350i | ||||
\(922\) | −2.22193 | − | 5.47289i | −0.0731754 | − | 0.180240i | ||||
\(923\) | 33.3198 | + | 8.92803i | 1.09674 | + | 0.293870i | ||||
\(924\) | 7.16783 | − | 7.02518i | 0.235804 | − | 0.231111i | ||||
\(925\) | −18.9783 | + | 5.08522i | −0.624002 | + | 0.167201i | ||||
\(926\) | −1.74445 | + | 1.31915i | −0.0573261 | + | 0.0433500i | ||||
\(927\) | 14.1534 | + | 24.0642i | 0.464857 | + | 0.790371i | ||||
\(928\) | −39.0752 | − | 32.2307i | −1.28271 | − | 1.05802i | ||||
\(929\) | −2.79783 | + | 4.84599i | −0.0917939 | + | 0.158992i | −0.908266 | − | 0.418393i | \(-0.862593\pi\) |
0.816472 | + | 0.577385i | \(0.195927\pi\) | |||||||
\(930\) | 1.84297 | + | 0.769890i | 0.0604334 | + | 0.0252457i | ||||
\(931\) | 6.73438 | − | 25.1330i | 0.220710 | − | 0.823702i | ||||
\(932\) | −4.92801 | − | 19.4851i | −0.161422 | − | 0.638255i | ||||
\(933\) | −30.2441 | − | 7.97335i | −0.990148 | − | 0.261036i | ||||
\(934\) | −2.61946 | + | 3.36443i | −0.0857114 | + | 0.110088i | ||||
\(935\) | − | 0.487421i | − | 0.0159404i | ||||||
\(936\) | 4.55702 | + | 38.4922i | 0.148951 | + | 1.25816i | ||||
\(937\) | − | 3.12869i | − | 0.102210i | −0.998693 | − | 0.0511049i | \(-0.983726\pi\) | ||
0.998693 | − | 0.0511049i | \(-0.0162743\pi\) | |||||||
\(938\) | −38.0300 | − | 29.6092i | −1.24173 | − | 0.966775i | ||||
\(939\) | −11.6551 | − | 42.8066i | −0.380351 | − | 1.39694i | ||||
\(940\) | 0.435306 | − | 0.730036i | 0.0141981 | − | 0.0238111i | ||||
\(941\) | −3.45992 | + | 12.9126i | −0.112790 | + | 0.420939i | −0.999112 | − | 0.0421307i | \(-0.986585\pi\) |
0.886322 | + | 0.463070i | \(0.153252\pi\) | |||||||
\(942\) | 8.41343 | + | 11.0332i | 0.274124 | + | 0.359481i | ||||
\(943\) | −9.45717 | + | 16.3803i | −0.307968 | + | 0.533416i | ||||
\(944\) | 44.4552 | − | 10.5795i | 1.44689 | − | 0.344334i | ||||
\(945\) | −4.39322 | + | 0.0531337i | −0.142912 | + | 0.00172844i | ||||
\(946\) | 0.00718468 | + | 0.00950102i | 0.000233594 | + | 0.000308905i | ||||
\(947\) | −21.8316 | + | 5.84975i | −0.709431 | + | 0.190091i | −0.595451 | − | 0.803392i | \(-0.703027\pi\) |
−0.113980 | + | 0.993483i | \(0.536360\pi\) | |||||||
\(948\) | 8.80342 | − | 4.96536i | 0.285922 | − | 0.161268i | ||||
\(949\) | 12.9154 | + | 3.46066i | 0.419250 | + | 0.112338i | ||||
\(950\) | 11.4065 | − | 4.63090i | 0.370075 | − | 0.150246i | ||||
\(951\) | −5.15676 | − | 2.94960i | −0.167219 | − | 0.0956474i | ||||
\(952\) | −8.70281 | + | 56.8053i | −0.282060 | + | 1.84107i | ||||
\(953\) | − | 13.2051i | − | 0.427754i | −0.976861 | − | 0.213877i | \(-0.931391\pi\) | ||
0.976861 | − | 0.213877i | \(-0.0686092\pi\) | |||||||
\(954\) | −1.89468 | + | 2.47443i | −0.0613427 | + | 0.0801127i | ||||
\(955\) | −2.65786 | + | 2.65786i | −0.0860065 | + | 0.0860065i | ||||
\(956\) | 9.43470 | + | 9.70423i | 0.305140 | + | 0.313857i | ||||
\(957\) | 2.45068 | − | 9.29581i | 0.0792193 | − | 0.300491i | ||||
\(958\) | −37.8083 | − | 15.9735i | −1.22153 | − | 0.516080i | ||||
\(959\) | 35.1344 | + | 60.8545i | 1.13455 | + | 1.96509i | ||||
\(960\) | 2.39463 | + | 0.740780i | 0.0772862 | + | 0.0239086i | ||||
\(961\) | 5.34109 | − | 9.25104i | 0.172293 | − | 0.298421i | ||||
\(962\) | −20.3814 | + | 15.4124i | −0.657123 | + | 0.496917i | ||||
\(963\) | 28.7871 | + | 28.3266i | 0.927653 | + | 0.912813i | ||||
\(964\) | 1.17461 | − | 4.14911i | 0.0378317 | − | 0.133634i | ||||
\(965\) | 0.720623 | + | 2.68940i | 0.0231977 | + | 0.0865749i | ||||
\(966\) | 31.2125 | − | 40.4244i | 1.00424 | − | 1.30063i | ||||
\(967\) | 26.0110 | − | 15.0175i | 0.836457 | − | 0.482929i | −0.0196013 | − | 0.999808i | \(-0.506240\pi\) |
0.856058 | + | 0.516879i | \(0.172906\pi\) | |||||||
\(968\) | 23.4298 | + | 18.7777i | 0.753063 | + | 0.603538i | ||||
\(969\) | −0.0531905 | − | 13.1943i | −0.00170873 | − | 0.423863i | ||||
\(970\) | −3.24538 | − | 2.52677i | −0.104203 | − | 0.0811297i | ||||
\(971\) | 29.4184 | − | 29.4184i | 0.944081 | − | 0.944081i | −0.0544362 | − | 0.998517i | \(-0.517336\pi\) |
0.998517 | + | 0.0544362i | \(0.0173361\pi\) | |||||||
\(972\) | −27.0942 | − | 15.4242i | −0.869047 | − | 0.494730i | ||||
\(973\) | 33.4013 | + | 33.4013i | 1.07080 | + | 1.07080i | ||||
\(974\) | −5.04539 | + | 0.628131i | −0.161665 | + | 0.0201266i | ||||
\(975\) | 39.3010 | − | 0.158435i | 1.25864 | − | 0.00507398i | ||||
\(976\) | −6.61322 | + | 6.25083i | −0.211684 | + | 0.200084i | ||||
\(977\) | −1.26388 | − | 2.18911i | −0.0404352 | − | 0.0700358i | 0.845100 | − | 0.534609i | \(-0.179541\pi\) |
−0.885535 | + | 0.464573i | \(0.846208\pi\) | |||||||
\(978\) | −51.5773 | + | 6.63243i | −1.64926 | + | 0.212082i | ||||
\(979\) | 1.90889 | − | 0.511486i | 0.0610084 | − | 0.0163472i | ||||
\(980\) | −2.62010 | − | 4.68942i | −0.0836959 | − | 0.149798i | ||||
\(981\) | 18.9034 | − | 19.2107i | 0.603538 | − | 0.613350i | ||||
\(982\) | 4.02565 | − | 28.9986i | 0.128464 | − | 0.925383i | ||||
\(983\) | −17.8779 | − | 10.3218i | −0.570215 | − | 0.329214i | 0.187020 | − | 0.982356i | \(-0.440117\pi\) |
−0.757235 | + | 0.653142i | \(0.773450\pi\) | |||||||
\(984\) | 2.35899 | + | 20.6382i | 0.0752019 | + | 0.657921i | ||||
\(985\) | −0.200541 | + | 0.115782i | −0.00638976 | + | 0.00368913i | ||||
\(986\) | 20.7065 | + | 51.0026i | 0.659429 | + | 1.62425i | ||||
\(987\) | −18.3912 | − | 4.84852i | −0.585398 | − | 0.154330i | ||||
\(988\) | 11.4795 | − | 11.1607i | 0.365212 | − | 0.355068i | ||||
\(989\) | 0.0428609 | + | 0.0428609i | 0.00136290 | + | 0.00136290i | ||||
\(990\) | 0.0625769 | + | 0.471595i | 0.00198882 | + | 0.0149883i | ||||
\(991\) | 32.9680 | 1.04726 | 0.523631 | − | 0.851945i | \(-0.324577\pi\) | ||||
0.523631 | + | 0.851945i | \(0.324577\pi\) | |||||||
\(992\) | −10.5809 | + | 23.1994i | −0.335945 | + | 0.736583i | ||||
\(993\) | −13.5535 | + | 23.6955i | −0.430108 | + | 0.751953i | ||||
\(994\) | −45.9814 | − | 19.4265i | −1.45844 | − | 0.616172i | ||||
\(995\) | 0.773465 | − | 2.88661i | 0.0245205 | − | 0.0915117i | ||||
\(996\) | −25.7073 | − | 7.16593i | −0.814567 | − | 0.227061i | ||||
\(997\) | 2.23491 | + | 8.34081i | 0.0707804 | + | 0.264156i | 0.992243 | − | 0.124310i | \(-0.0396717\pi\) |
−0.921463 | + | 0.388466i | \(0.873005\pi\) | |||||||
\(998\) | −21.3776 | − | 2.96768i | −0.676695 | − | 0.0939402i | ||||
\(999\) | −0.248561 | − | 20.5516i | −0.00786411 | − | 0.650223i |
(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 | 144.2.x.e.61.9 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.397.10 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.529.14 | 72 | |||
9.4 | even | 3 | inner | 144.2.x.e.13.17 | ✓ | 72 | |
9.5 | odd | 6 | 432.2.y.e.253.2 | 72 | |||
12.11 | even | 2 | 1728.2.bc.e.721.8 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.133.17 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.241.15 | 72 | |||
36.23 | even | 6 | 1728.2.bc.e.145.11 | 72 | |||
36.31 | odd | 6 | 576.2.bb.e.337.15 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.181.2 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1585.11 | 72 | |||
144.5 | odd | 12 | 432.2.y.e.37.10 | 72 | |||
144.59 | even | 12 | 1728.2.bc.e.1009.8 | 72 | |||
144.85 | even | 12 | inner | 144.2.x.e.85.9 | yes | 72 | |
144.139 | odd | 12 | 576.2.bb.e.49.14 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.17 | ✓ | 72 | 9.4 | even | 3 | inner | |
144.2.x.e.61.9 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.85.9 | yes | 72 | 144.85 | even | 12 | inner | |
144.2.x.e.133.17 | yes | 72 | 16.5 | even | 4 | inner | |
432.2.y.e.37.10 | 72 | 144.5 | odd | 12 | |||
432.2.y.e.181.2 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.253.2 | 72 | 9.5 | odd | 6 | |||
432.2.y.e.397.10 | 72 | 3.2 | odd | 2 | |||
576.2.bb.e.49.14 | 72 | 144.139 | odd | 12 | |||
576.2.bb.e.241.15 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.337.15 | 72 | 36.31 | odd | 6 | |||
576.2.bb.e.529.14 | 72 | 4.3 | odd | 2 | |||
1728.2.bc.e.145.11 | 72 | 36.23 | even | 6 | |||
1728.2.bc.e.721.8 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1009.8 | 72 | 144.59 | even | 12 | |||
1728.2.bc.e.1585.11 | 72 | 48.11 | even | 4 |