Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(22,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.ba (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 337.53 | ||
Character | \(\chi\) | \(=\) | 441.337 |
Dual form | 441.2.ba.a.106.53 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.66904 | + | 0.402293i | 1.88730 | + | 0.284464i | 0.988187 | − | 0.153255i | \(-0.0489756\pi\) |
0.899112 | + | 0.437720i | \(0.144214\pi\) | |||||||
\(3\) | −1.66495 | + | 0.477417i | −0.961262 | + | 0.275637i | ||||
\(4\) | 5.05080 | + | 1.55797i | 2.52540 | + | 0.778983i | ||||
\(5\) | 1.57905 | − | 1.07658i | 0.706173 | − | 0.481461i | −0.156206 | − | 0.987725i | \(-0.549926\pi\) |
0.862379 | + | 0.506264i | \(0.168974\pi\) | |||||||
\(6\) | −4.63590 | + | 0.604446i | −1.89260 | + | 0.246764i | ||||
\(7\) | −0.157382 | + | 2.64107i | −0.0594848 | + | 0.998229i | ||||
\(8\) | 7.99028 | + | 3.84791i | 2.82499 | + | 1.36044i | ||||
\(9\) | 2.54415 | − | 1.58975i | 0.848049 | − | 0.529918i | ||||
\(10\) | 4.64765 | − | 2.23819i | 1.46972 | − | 0.707779i | ||||
\(11\) | −3.91838 | − | 0.590601i | −1.18144 | − | 0.178073i | −0.471194 | − | 0.882030i | \(-0.656177\pi\) |
−0.710243 | + | 0.703957i | \(0.751415\pi\) | |||||||
\(12\) | −9.15316 | − | 0.182604i | −2.64229 | − | 0.0527133i | ||||
\(13\) | −1.69856 | − | 4.32787i | −0.471096 | − | 1.20033i | −0.947114 | − | 0.320898i | \(-0.896015\pi\) |
0.476017 | − | 0.879436i | \(-0.342080\pi\) | |||||||
\(14\) | −1.48254 | + | 6.98580i | −0.396226 | + | 1.86703i | ||||
\(15\) | −2.11507 | + | 2.54632i | −0.546109 | + | 0.657457i | ||||
\(16\) | 11.0440 | + | 7.52968i | 2.76100 | + | 1.88242i | ||||
\(17\) | −0.299635 | + | 1.31279i | −0.0726723 | + | 0.318398i | −0.998178 | − | 0.0603352i | \(-0.980783\pi\) |
0.925506 | + | 0.378733i | \(0.123640\pi\) | |||||||
\(18\) | 7.42998 | − | 3.21963i | 1.75126 | − | 0.758874i | ||||
\(19\) | −2.09983 | −0.481733 | −0.240866 | − | 0.970558i | \(-0.577432\pi\) | ||||
−0.240866 | + | 0.970558i | \(0.577432\pi\) | |||||||
\(20\) | 9.65275 | − | 2.97748i | 2.15842 | − | 0.665784i | ||||
\(21\) | −0.998856 | − | 4.47239i | −0.217968 | − | 0.975956i | ||||
\(22\) | −10.2207 | − | 3.15268i | −2.17907 | − | 0.672153i | ||||
\(23\) | 6.65484 | + | 2.05275i | 1.38763 | + | 0.428027i | 0.896494 | − | 0.443056i | \(-0.146106\pi\) |
0.491136 | + | 0.871083i | \(0.336582\pi\) | |||||||
\(24\) | −15.1405 | − | 2.59191i | −3.09054 | − | 0.529071i | ||||
\(25\) | −0.492326 | + | 1.25442i | −0.0984651 | + | 0.250885i | ||||
\(26\) | −2.79246 | − | 12.2346i | −0.547647 | − | 2.39940i | ||||
\(27\) | −3.47691 | + | 3.86149i | −0.669132 | + | 0.743144i | ||||
\(28\) | −4.90960 | + | 13.0943i | −0.927827 | + | 2.47459i | ||||
\(29\) | −1.95313 | + | 0.602459i | −0.362686 | + | 0.111874i | −0.470742 | − | 0.882271i | \(-0.656014\pi\) |
0.108056 | + | 0.994145i | \(0.465538\pi\) | |||||||
\(30\) | −6.66958 | + | 5.94536i | −1.21769 | + | 1.08547i | ||||
\(31\) | 2.15723 | − | 3.73643i | 0.387450 | − | 0.671082i | −0.604656 | − | 0.796487i | \(-0.706689\pi\) |
0.992106 | + | 0.125404i | \(0.0400228\pi\) | |||||||
\(32\) | 13.4456 | + | 12.4757i | 2.37687 | + | 2.20541i | ||||
\(33\) | 6.80589 | − | 0.887378i | 1.18475 | − | 0.154473i | ||||
\(34\) | −1.32787 | + | 3.38335i | −0.227727 | + | 0.580239i | ||||
\(35\) | 2.59480 | + | 4.33981i | 0.438601 | + | 0.733562i | ||||
\(36\) | 15.3268 | − | 4.06584i | 2.55446 | − | 0.677641i | ||||
\(37\) | 1.70026 | − | 7.44935i | 0.279522 | − | 1.22466i | −0.618878 | − | 0.785487i | \(-0.712413\pi\) |
0.898400 | − | 0.439178i | \(-0.144730\pi\) | |||||||
\(38\) | −5.60452 | − | 0.844746i | −0.909174 | − | 0.137036i | ||||
\(39\) | 4.89422 | + | 6.39478i | 0.783703 | + | 1.02398i | ||||
\(40\) | 16.7596 | − | 2.52611i | 2.64993 | − | 0.399413i | ||||
\(41\) | −1.39472 | + | 0.950901i | −0.217818 | + | 0.148506i | −0.667314 | − | 0.744777i | \(-0.732556\pi\) |
0.449496 | + | 0.893282i | \(0.351604\pi\) | |||||||
\(42\) | −0.866775 | − | 12.3388i | −0.133746 | − | 1.90392i | ||||
\(43\) | −9.84687 | − | 6.71348i | −1.50163 | − | 1.02380i | −0.985954 | − | 0.167015i | \(-0.946587\pi\) |
−0.515680 | − | 0.856782i | \(-0.672461\pi\) | |||||||
\(44\) | −18.8708 | − | 9.08772i | −2.84489 | − | 1.37003i | ||||
\(45\) | 2.30584 | − | 5.24928i | 0.343734 | − | 0.782516i | ||||
\(46\) | 16.9362 | + | 8.15607i | 2.49711 | + | 1.20255i | ||||
\(47\) | −7.00144 | − | 1.05530i | −1.02126 | − | 0.153931i | −0.383000 | − | 0.923748i | \(-0.625109\pi\) |
−0.638264 | + | 0.769817i | \(0.720347\pi\) | |||||||
\(48\) | −21.9826 | − | 7.26398i | −3.17291 | − | 1.04846i | ||||
\(49\) | −6.95046 | − | 0.831313i | −0.992923 | − | 0.118759i | ||||
\(50\) | −1.81868 | + | 3.15005i | −0.257201 | + | 0.445485i | ||||
\(51\) | −0.127868 | − | 2.32878i | −0.0179051 | − | 0.326095i | ||||
\(52\) | −1.83643 | − | 24.5055i | −0.254667 | − | 3.39830i | ||||
\(53\) | −2.49732 | − | 10.9415i | −0.343033 | − | 1.50292i | −0.792636 | − | 0.609696i | \(-0.791292\pi\) |
0.449603 | − | 0.893229i | \(-0.351566\pi\) | |||||||
\(54\) | −10.8335 | + | 8.90774i | −1.47425 | + | 1.21219i | ||||
\(55\) | −6.82315 | + | 3.28586i | −0.920034 | + | 0.443065i | ||||
\(56\) | −11.4201 | + | 20.4973i | −1.52608 | + | 2.73906i | ||||
\(57\) | 3.49611 | − | 1.00249i | 0.463071 | − | 0.132783i | ||||
\(58\) | −5.45534 | + | 0.822260i | −0.716321 | + | 0.107968i | ||||
\(59\) | −0.292766 | + | 3.90669i | −0.0381149 | + | 0.508608i | 0.945175 | + | 0.326563i | \(0.105891\pi\) |
−0.983290 | + | 0.182045i | \(0.941728\pi\) | |||||||
\(60\) | −14.6499 | + | 9.56575i | −1.89129 | + | 1.23493i | ||||
\(61\) | 5.09812 | − | 1.57256i | 0.652747 | − | 0.201346i | 0.0493435 | − | 0.998782i | \(-0.484287\pi\) |
0.603403 | + | 0.797436i | \(0.293811\pi\) | |||||||
\(62\) | 7.26088 | − | 9.10485i | 0.922132 | − | 1.15632i | ||||
\(63\) | 3.79824 | + | 6.96946i | 0.478534 | + | 0.878069i | ||||
\(64\) | 14.2001 | + | 17.8064i | 1.77502 | + | 2.22580i | ||||
\(65\) | −7.34140 | − | 5.00528i | −0.910589 | − | 0.620829i | ||||
\(66\) | 18.5222 | + | 0.369515i | 2.27993 | + | 0.0454842i | ||||
\(67\) | −1.10187 | + | 1.90850i | −0.134615 | + | 0.233160i | −0.925450 | − | 0.378869i | \(-0.876313\pi\) |
0.790835 | + | 0.612029i | \(0.209646\pi\) | |||||||
\(68\) | −3.55868 | + | 6.16381i | −0.431553 | + | 0.747472i | ||||
\(69\) | −12.0600 | − | 0.240596i | −1.45186 | − | 0.0289643i | ||||
\(70\) | 5.17976 | + | 12.6270i | 0.619099 | + | 1.50922i | ||||
\(71\) | 0.264180 | + | 1.15745i | 0.0313524 | + | 0.137364i | 0.988182 | − | 0.153286i | \(-0.0489856\pi\) |
−0.956829 | + | 0.290650i | \(0.906128\pi\) | |||||||
\(72\) | 26.4457 | − | 2.91292i | 3.11665 | − | 0.343291i | ||||
\(73\) | 1.88164 | + | 2.35950i | 0.220229 | + | 0.276159i | 0.879656 | − | 0.475610i | \(-0.157773\pi\) |
−0.659427 | + | 0.751768i | \(0.729201\pi\) | |||||||
\(74\) | 7.53490 | − | 19.1986i | 0.875915 | − | 2.23179i | ||||
\(75\) | 0.220816 | − | 2.32360i | 0.0254976 | − | 0.268307i | ||||
\(76\) | −10.6058 | − | 3.27146i | −1.21657 | − | 0.375262i | ||||
\(77\) | 2.17650 | − | 10.2558i | 0.248035 | − | 1.16875i | ||||
\(78\) | 10.4903 | + | 19.0368i | 1.18779 | + | 2.15550i | ||||
\(79\) | 6.20923 | + | 10.7547i | 0.698593 | + | 1.21000i | 0.968954 | + | 0.247240i | \(0.0795236\pi\) |
−0.270361 | + | 0.962759i | \(0.587143\pi\) | |||||||
\(80\) | 25.5454 | 2.85606 | ||||||||
\(81\) | 3.94536 | − | 8.08914i | 0.438373 | − | 0.898793i | ||||
\(82\) | −4.10510 | + | 1.97691i | −0.453332 | + | 0.218313i | ||||
\(83\) | −4.24406 | + | 10.8137i | −0.465846 | + | 1.18696i | 0.484230 | + | 0.874940i | \(0.339100\pi\) |
−0.950077 | + | 0.312016i | \(0.898996\pi\) | |||||||
\(84\) | 1.92281 | − | 24.1454i | 0.209796 | − | 2.63447i | ||||
\(85\) | 0.940180 | + | 2.39554i | 0.101977 | + | 0.259833i | ||||
\(86\) | −23.5809 | − | 21.8799i | −2.54280 | − | 2.35937i | ||||
\(87\) | 2.96424 | − | 1.93552i | 0.317800 | − | 0.207510i | ||||
\(88\) | −29.0364 | − | 19.7967i | −3.09529 | − | 2.11033i | ||||
\(89\) | 7.00395 | + | 8.78267i | 0.742417 | + | 0.930962i | 0.999371 | − | 0.0354621i | \(-0.0112903\pi\) |
−0.256954 | + | 0.966424i | \(0.582719\pi\) | |||||||
\(90\) | 8.26613 | − | 13.0829i | 0.871327 | − | 1.37906i | ||||
\(91\) | 11.6975 | − | 3.80489i | 1.22623 | − | 0.398861i | ||||
\(92\) | 30.4142 | + | 20.7360i | 3.17090 | + | 2.16188i | ||||
\(93\) | −1.80785 | + | 7.25088i | −0.187466 | + | 0.751881i | ||||
\(94\) | −18.2626 | − | 5.63326i | −1.88364 | − | 0.581027i | ||||
\(95\) | −3.31573 | + | 2.26063i | −0.340187 | + | 0.231935i | ||||
\(96\) | −28.3424 | − | 14.3523i | −2.89269 | − | 1.46483i | ||||
\(97\) | 4.83617 | + | 8.37650i | 0.491039 | + | 0.850504i | 0.999947 | − | 0.0103166i | \(-0.00328393\pi\) |
−0.508908 | + | 0.860821i | \(0.669951\pi\) | |||||||
\(98\) | −18.2166 | − | 5.01493i | −1.84016 | − | 0.506585i | ||||
\(99\) | −10.9078 | + | 4.72669i | −1.09628 | + | 0.475050i | ||||
\(100\) | −4.44099 | + | 5.56883i | −0.444099 | + | 0.556883i | ||||
\(101\) | −0.453596 | − | 6.05281i | −0.0451344 | − | 0.602277i | −0.973215 | − | 0.229897i | \(-0.926161\pi\) |
0.928080 | − | 0.372380i | \(-0.121458\pi\) | |||||||
\(102\) | 0.595569 | − | 6.26706i | 0.0589701 | − | 0.620532i | ||||
\(103\) | 13.3330 | − | 9.09027i | 1.31374 | − | 0.895691i | 0.315161 | − | 0.949038i | \(-0.397941\pi\) |
0.998576 | + | 0.0533472i | \(0.0169890\pi\) | |||||||
\(104\) | 3.08128 | − | 41.1168i | 0.302144 | − | 4.03183i | ||||
\(105\) | −6.39212 | − | 5.98679i | −0.623807 | − | 0.584250i | ||||
\(106\) | −2.26377 | − | 30.2079i | −0.219876 | − | 2.93405i | ||||
\(107\) | 2.91802 | + | 3.65909i | 0.282096 | + | 0.353737i | 0.902611 | − | 0.430457i | \(-0.141648\pi\) |
−0.620515 | + | 0.784195i | \(0.713076\pi\) | |||||||
\(108\) | −23.5773 | + | 14.0867i | −2.26872 | + | 1.35549i | ||||
\(109\) | −0.0587631 | + | 0.0736865i | −0.00562848 | + | 0.00705789i | −0.784638 | − | 0.619955i | \(-0.787151\pi\) |
0.779009 | + | 0.627012i | \(0.215722\pi\) | |||||||
\(110\) | −19.5332 | + | 6.02518i | −1.86241 | + | 0.574479i | ||||
\(111\) | 0.725581 | + | 13.2146i | 0.0688691 | + | 1.25427i | ||||
\(112\) | −21.6245 | + | 27.9829i | −2.04333 | + | 2.64414i | ||||
\(113\) | −8.64762 | + | 1.30342i | −0.813500 | + | 0.122615i | −0.542599 | − | 0.839992i | \(-0.682560\pi\) |
−0.270901 | + | 0.962607i | \(0.587322\pi\) | |||||||
\(114\) | 9.73457 | − | 1.26923i | 0.911726 | − | 0.118874i | ||||
\(115\) | 12.7183 | − | 3.92307i | 1.18599 | − | 0.365828i | ||||
\(116\) | −10.8035 | −1.00308 | ||||||||
\(117\) | −11.2016 | − | 8.31043i | −1.03559 | − | 0.768299i | ||||
\(118\) | −2.35304 | + | 10.3094i | −0.216615 | + | 0.949053i | ||||
\(119\) | −3.42000 | − | 0.997966i | −0.313511 | − | 0.0914834i | ||||
\(120\) | −26.6980 | + | 12.2072i | −2.43718 | + | 1.11436i | ||||
\(121\) | 4.49361 | + | 1.38610i | 0.408510 | + | 0.126009i | ||||
\(122\) | 14.2397 | − | 2.14629i | 1.28920 | − | 0.194316i | ||||
\(123\) | 1.86816 | − | 2.24907i | 0.168447 | − | 0.202792i | ||||
\(124\) | 16.7170 | − | 15.5111i | 1.50123 | − | 1.39294i | ||||
\(125\) | 2.69941 | + | 11.8269i | 0.241443 | + | 1.05783i | ||||
\(126\) | 7.33391 | + | 20.1298i | 0.653357 | + | 1.79330i | ||||
\(127\) | 2.54105 | − | 11.1331i | 0.225482 | − | 0.987900i | −0.727794 | − | 0.685796i | \(-0.759454\pi\) |
0.953275 | − | 0.302103i | \(-0.0976888\pi\) | |||||||
\(128\) | 12.3954 | + | 21.4694i | 1.09561 | + | 1.89765i | ||||
\(129\) | 19.5997 | + | 6.47658i | 1.72566 | + | 0.570231i | ||||
\(130\) | −17.5809 | − | 16.3127i | −1.54195 | − | 1.43072i | ||||
\(131\) | −0.796914 | + | 10.6341i | −0.0696267 | + | 0.929103i | 0.847574 | + | 0.530677i | \(0.178062\pi\) |
−0.917201 | + | 0.398426i | \(0.869557\pi\) | |||||||
\(132\) | 35.7577 | + | 6.12138i | 3.11231 | + | 0.532798i | ||||
\(133\) | 0.330475 | − | 5.54578i | 0.0286558 | − | 0.480880i | ||||
\(134\) | −3.70872 | + | 4.65059i | −0.320385 | + | 0.401750i | ||||
\(135\) | −1.33302 | + | 9.84065i | −0.114728 | + | 0.846949i | ||||
\(136\) | −7.44567 | + | 9.33657i | −0.638461 | + | 0.800605i | ||||
\(137\) | 5.42815 | + | 3.70085i | 0.463758 | + | 0.316185i | 0.772560 | − | 0.634941i | \(-0.218976\pi\) |
−0.308802 | + | 0.951126i | \(0.599928\pi\) | |||||||
\(138\) | −32.0919 | − | 5.49383i | −2.73185 | − | 0.467666i | ||||
\(139\) | 10.7043 | − | 7.29804i | 0.907924 | − | 0.619012i | −0.0167137 | − | 0.999860i | \(-0.505320\pi\) |
0.924638 | + | 0.380848i | \(0.124368\pi\) | |||||||
\(140\) | 6.34455 | + | 25.9621i | 0.536212 | + | 2.19420i | ||||
\(141\) | 12.1609 | − | 1.58558i | 1.02413 | − | 0.133530i | ||||
\(142\) | 0.239474 | + | 3.19556i | 0.0200962 | + | 0.268165i | ||||
\(143\) | 4.09957 | + | 17.9614i | 0.342824 | + | 1.50201i | ||||
\(144\) | 40.0679 | + | 1.59934i | 3.33900 | + | 0.133278i | ||||
\(145\) | −2.43549 | + | 3.05401i | −0.202256 | + | 0.253621i | ||||
\(146\) | 4.07296 | + | 7.05458i | 0.337081 | + | 0.583841i | ||||
\(147\) | 11.9691 | − | 1.93417i | 0.987193 | − | 0.159528i | ||||
\(148\) | 20.1935 | − | 34.9762i | 1.65990 | − | 2.87503i | ||||
\(149\) | 7.80316 | + | 19.8821i | 0.639260 | + | 1.62881i | 0.770487 | + | 0.637456i | \(0.220013\pi\) |
−0.131227 | + | 0.991352i | \(0.541892\pi\) | |||||||
\(150\) | 1.52414 | − | 6.11297i | 0.124445 | − | 0.499122i | ||||
\(151\) | −1.08683 | + | 1.00843i | −0.0884446 | + | 0.0820646i | −0.723156 | − | 0.690684i | \(-0.757309\pi\) |
0.634712 | + | 0.772749i | \(0.281119\pi\) | |||||||
\(152\) | −16.7782 | − | 8.07995i | −1.36089 | − | 0.655370i | ||||
\(153\) | 1.32470 | + | 3.81627i | 0.107095 | + | 0.308527i | ||||
\(154\) | 9.93499 | − | 26.4975i | 0.800585 | − | 2.13523i | ||||
\(155\) | −0.616186 | − | 8.22244i | −0.0494933 | − | 0.660442i | ||||
\(156\) | 14.7569 | + | 39.9238i | 1.18150 | + | 3.19646i | ||||
\(157\) | 0.329580 | − | 4.39794i | 0.0263033 | − | 0.350994i | −0.968488 | − | 0.249061i | \(-0.919878\pi\) |
0.994791 | − | 0.101933i | \(-0.0325028\pi\) | |||||||
\(158\) | 12.2462 | + | 31.2027i | 0.974252 | + | 2.48235i | ||||
\(159\) | 9.38155 | + | 17.0248i | 0.744005 | + | 1.35015i | ||||
\(160\) | 34.6624 | + | 5.22451i | 2.74030 | + | 0.413034i | ||||
\(161\) | −6.46879 | + | 17.2528i | −0.509812 | + | 1.35971i | ||||
\(162\) | 13.7845 | − | 20.0031i | 1.08302 | − | 1.57159i | ||||
\(163\) | −12.6690 | + | 6.10107i | −0.992312 | + | 0.477872i | −0.858323 | − | 0.513110i | \(-0.828493\pi\) |
−0.133990 | + | 0.990983i | \(0.542779\pi\) | |||||||
\(164\) | −8.52591 | + | 2.62989i | −0.665762 | + | 0.205360i | ||||
\(165\) | 9.79151 | − | 8.72829i | 0.762268 | − | 0.679497i | ||||
\(166\) | −15.6779 | + | 27.1548i | −1.21684 | + | 2.10762i | ||||
\(167\) | 2.41883 | + | 2.24435i | 0.187175 | + | 0.173673i | 0.768194 | − | 0.640217i | \(-0.221156\pi\) |
−0.581019 | + | 0.813890i | \(0.697346\pi\) | |||||||
\(168\) | 9.22825 | − | 39.5792i | 0.711975 | − | 3.05360i | ||||
\(169\) | −6.31563 | + | 5.86005i | −0.485818 | + | 0.450773i | ||||
\(170\) | 1.54567 | + | 6.77203i | 0.118548 | + | 0.519391i | ||||
\(171\) | −5.34226 | + | 3.33821i | −0.408533 | + | 0.255279i | ||||
\(172\) | −39.2752 | − | 49.2496i | −2.99471 | − | 3.75525i | ||||
\(173\) | −12.7089 | + | 11.7921i | −0.966240 | + | 0.896540i | −0.994676 | − | 0.103056i | \(-0.967138\pi\) |
0.0284352 | + | 0.999596i | \(0.490948\pi\) | |||||||
\(174\) | 8.69033 | − | 3.97350i | 0.658812 | − | 0.301230i | ||||
\(175\) | −3.23554 | − | 1.49769i | −0.244584 | − | 0.113215i | ||||
\(176\) | −38.8276 | − | 36.0268i | −2.92674 | − | 2.71562i | ||||
\(177\) | −1.37768 | − | 6.64424i | −0.103553 | − | 0.499411i | ||||
\(178\) | 15.1606 | + | 26.2590i | 1.13634 | + | 1.96819i | ||||
\(179\) | 0.172077 | − | 0.753917i | 0.0128616 | − | 0.0563504i | −0.968090 | − | 0.250603i | \(-0.919371\pi\) |
0.980952 | + | 0.194253i | \(0.0622282\pi\) | |||||||
\(180\) | 19.8245 | − | 22.9206i | 1.47763 | − | 1.70840i | ||||
\(181\) | 11.5348 | + | 14.4642i | 0.857375 | + | 1.07511i | 0.996396 | + | 0.0848246i | \(0.0270330\pi\) |
−0.139021 | + | 0.990289i | \(0.544396\pi\) | |||||||
\(182\) | 32.7518 | − | 5.44958i | 2.42773 | − | 0.403949i | ||||
\(183\) | −7.73736 | + | 5.05217i | −0.571962 | + | 0.373467i | ||||
\(184\) | 45.2752 | + | 42.0093i | 3.33773 | + | 3.09696i | ||||
\(185\) | −5.33500 | − | 13.5934i | −0.392237 | − | 0.999404i | ||||
\(186\) | −7.74222 | + | 18.6256i | −0.567687 | + | 1.36570i | ||||
\(187\) | 1.94942 | − | 4.96704i | 0.142556 | − | 0.363226i | ||||
\(188\) | −33.7188 | − | 16.2381i | −2.45919 | − | 1.18429i | ||||
\(189\) | −9.65124 | − | 9.79048i | −0.702025 | − | 0.712153i | ||||
\(190\) | −9.75926 | + | 4.69981i | −0.708011 | + | 0.340960i | ||||
\(191\) | −0.499894 | − | 6.67062i | −0.0361711 | − | 0.482669i | −0.985646 | − | 0.168826i | \(-0.946002\pi\) |
0.949475 | − | 0.313843i | \(-0.101617\pi\) | |||||||
\(192\) | −32.1436 | − | 22.8674i | −2.31977 | − | 1.65032i | ||||
\(193\) | −3.25801 | + | 2.22127i | −0.234516 | + | 0.159891i | −0.674877 | − | 0.737931i | \(-0.735803\pi\) |
0.440360 | + | 0.897821i | \(0.354851\pi\) | |||||||
\(194\) | 9.53814 | + | 24.3028i | 0.684799 | + | 1.74484i | ||||
\(195\) | 14.6127 | + | 4.82866i | 1.04644 | + | 0.345787i | ||||
\(196\) | −33.8103 | − | 15.0274i | −2.41502 | − | 1.07338i | ||||
\(197\) | −17.5019 | −1.24696 | −0.623478 | − | 0.781841i | \(-0.714281\pi\) | ||||
−0.623478 | + | 0.781841i | \(0.714281\pi\) | |||||||
\(198\) | −31.0150 | + | 8.22759i | −2.20414 | + | 0.584709i | ||||
\(199\) | −4.94588 | − | 2.38181i | −0.350604 | − | 0.168842i | 0.250289 | − | 0.968171i | \(-0.419474\pi\) |
−0.600894 | + | 0.799329i | \(0.705188\pi\) | |||||||
\(200\) | −8.76074 | + | 8.12878i | −0.619478 | + | 0.574791i | ||||
\(201\) | 0.923418 | − | 3.70362i | 0.0651329 | − | 0.261233i | ||||
\(202\) | 1.22434 | − | 16.3377i | 0.0861443 | − | 1.14952i | ||||
\(203\) | −1.28375 | − | 5.25315i | −0.0901015 | − | 0.368699i | ||||
\(204\) | 2.98233 | − | 11.9614i | 0.208805 | − | 0.837469i | ||||
\(205\) | −1.17861 | + | 3.00304i | −0.0823175 | + | 0.209742i | ||||
\(206\) | 39.2432 | − | 18.8986i | 2.73421 | − | 1.31672i | ||||
\(207\) | 20.1943 | − | 5.35708i | 1.40360 | − | 0.372343i | ||||
\(208\) | 13.8285 | − | 60.5867i | 0.958835 | − | 4.20093i | ||||
\(209\) | 8.22792 | + | 1.24016i | 0.569137 | + | 0.0857836i | ||||
\(210\) | −14.6524 | − | 18.5505i | −1.01111 | − | 1.28011i | ||||
\(211\) | 3.84423 | − | 0.579425i | 0.264648 | − | 0.0398892i | −0.0153779 | − | 0.999882i | \(-0.504895\pi\) |
0.280026 | + | 0.959993i | \(0.409657\pi\) | |||||||
\(212\) | 4.43297 | − | 59.1539i | 0.304458 | − | 4.06270i | ||||
\(213\) | −0.992433 | − | 1.80097i | −0.0680004 | − | 0.123401i | ||||
\(214\) | 6.31631 | + | 10.9402i | 0.431774 | + | 0.747854i | ||||
\(215\) | −22.7763 | −1.55333 | ||||||||
\(216\) | −42.6402 | + | 17.4755i | −2.90130 | + | 1.18906i | ||||
\(217\) | 9.52865 | + | 6.28543i | 0.646847 | + | 0.426683i | ||||
\(218\) | −0.186485 | + | 0.173033i | −0.0126303 | + | 0.0117192i | ||||
\(219\) | −4.25931 | − | 3.03013i | −0.287817 | − | 0.204758i | ||||
\(220\) | −39.5817 | + | 5.96597i | −2.66859 | + | 0.402226i | ||||
\(221\) | 6.19052 | − | 0.933071i | 0.416420 | − | 0.0627652i | ||||
\(222\) | −3.37952 | + | 35.5621i | −0.226819 | + | 2.38677i | ||||
\(223\) | 8.04557 | − | 7.46520i | 0.538771 | − | 0.499907i | −0.363195 | − | 0.931713i | \(-0.618314\pi\) |
0.901966 | + | 0.431806i | \(0.142124\pi\) | |||||||
\(224\) | −35.0653 | + | 33.5473i | −2.34290 | + | 2.24147i | ||||
\(225\) | 0.741680 | + | 3.97412i | 0.0494453 | + | 0.264941i | ||||
\(226\) | −23.6052 | −1.57020 | ||||||||
\(227\) | 12.8816 | + | 22.3116i | 0.854984 | + | 1.48088i | 0.876660 | + | 0.481111i | \(0.159766\pi\) |
−0.0216761 | + | 0.999765i | \(0.506900\pi\) | |||||||
\(228\) | 19.2200 | + | 0.383437i | 1.27288 | + | 0.0253937i | ||||
\(229\) | 0.767893 | − | 10.2468i | 0.0507438 | − | 0.677129i | −0.912599 | − | 0.408856i | \(-0.865928\pi\) |
0.963343 | − | 0.268273i | \(-0.0864531\pi\) | |||||||
\(230\) | 35.5238 | − | 5.35436i | 2.34237 | − | 0.353056i | ||||
\(231\) | 1.27250 | + | 18.1145i | 0.0837243 | + | 1.19184i | ||||
\(232\) | −17.9242 | − | 2.70164i | −1.17678 | − | 0.177372i | ||||
\(233\) | −2.39729 | + | 10.5032i | −0.157052 | + | 0.688089i | 0.833679 | + | 0.552249i | \(0.186230\pi\) |
−0.990731 | + | 0.135840i | \(0.956627\pi\) | |||||||
\(234\) | −26.5544 | − | 26.6872i | −1.73592 | − | 1.74460i | ||||
\(235\) | −12.1917 | + | 5.87123i | −0.795301 | + | 0.382997i | ||||
\(236\) | −7.56520 | + | 19.2758i | −0.492453 | + | 1.25475i | ||||
\(237\) | −15.4726 | − | 14.9417i | −1.00505 | − | 0.970568i | ||||
\(238\) | −8.72666 | − | 4.03946i | −0.565665 | − | 0.261839i | ||||
\(239\) | 0.00205708 | − | 0.0274498i | 0.000133062 | − | 0.00177558i | −0.997137 | − | 0.0756179i | \(-0.975907\pi\) |
0.997270 | + | 0.0738423i | \(0.0235261\pi\) | |||||||
\(240\) | −42.5319 | + | 12.1958i | −2.74542 | + | 0.787235i | ||||
\(241\) | 11.6621 | − | 10.8209i | 0.751224 | − | 0.697034i | −0.208486 | − | 0.978025i | \(-0.566854\pi\) |
0.959710 | + | 0.280991i | \(0.0906632\pi\) | |||||||
\(242\) | 11.4360 | + | 5.50730i | 0.735135 | + | 0.354022i | ||||
\(243\) | −2.70695 | + | 15.3516i | −0.173651 | + | 0.984807i | ||||
\(244\) | 28.1996 | 1.80529 | ||||||||
\(245\) | −11.8701 | + | 6.17003i | −0.758353 | + | 0.394189i | ||||
\(246\) | 5.89099 | − | 5.25131i | 0.375596 | − | 0.334811i | ||||
\(247\) | 3.56668 | + | 9.08776i | 0.226943 | + | 0.578240i | ||||
\(248\) | 31.6143 | − | 21.5543i | 2.00751 | − | 1.36870i | ||||
\(249\) | 1.90353 | − | 20.0305i | 0.120631 | − | 1.26938i | ||||
\(250\) | 2.44696 | + | 32.6525i | 0.154760 | + | 2.06512i | ||||
\(251\) | 2.41001 | − | 1.16060i | 0.152118 | − | 0.0732563i | −0.356276 | − | 0.934381i | \(-0.615954\pi\) |
0.508394 | + | 0.861125i | \(0.330239\pi\) | |||||||
\(252\) | 8.32601 | + | 41.1189i | 0.524489 | + | 2.59025i | ||||
\(253\) | −24.8639 | − | 11.9738i | −1.56318 | − | 0.752787i | ||||
\(254\) | 11.2609 | − | 28.6924i | 0.706573 | − | 1.80032i | ||||
\(255\) | −2.70903 | − | 3.53961i | −0.169646 | − | 0.221659i | ||||
\(256\) | 7.80532 | + | 19.8876i | 0.487832 | + | 1.24298i | ||||
\(257\) | −21.8797 | − | 20.3014i | −1.36482 | − | 1.26636i | −0.930834 | − | 0.365442i | \(-0.880918\pi\) |
−0.433981 | − | 0.900922i | \(-0.642892\pi\) | |||||||
\(258\) | 49.7070 | + | 25.1711i | 3.09462 | + | 1.56708i | ||||
\(259\) | 19.4066 | + | 5.66290i | 1.20587 | + | 0.351876i | ||||
\(260\) | −29.2819 | − | 36.7184i | −1.81599 | − | 2.27718i | ||||
\(261\) | −4.01127 | + | 4.63774i | −0.248292 | + | 0.287069i | ||||
\(262\) | −6.40501 | + | 28.0622i | −0.395703 | + | 1.73369i | ||||
\(263\) | −4.35715 | − | 7.54681i | −0.268673 | − | 0.465356i | 0.699846 | − | 0.714294i | \(-0.253252\pi\) |
−0.968520 | + | 0.248938i | \(0.919919\pi\) | |||||||
\(264\) | 57.7955 | + | 19.0981i | 3.55707 | + | 1.17541i | ||||
\(265\) | −15.7227 | − | 14.5886i | −0.965839 | − | 0.896168i | ||||
\(266\) | 3.11308 | − | 14.6690i | 0.190875 | − | 0.899412i | ||||
\(267\) | −15.8543 | − | 11.2789i | −0.970264 | − | 0.690260i | ||||
\(268\) | −8.53872 | + | 7.92277i | −0.521585 | + | 0.483960i | ||||
\(269\) | −3.58825 | − | 4.49953i | −0.218780 | − | 0.274341i | 0.660314 | − | 0.750989i | \(-0.270423\pi\) |
−0.879094 | + | 0.476648i | \(0.841852\pi\) | |||||||
\(270\) | −7.51673 | + | 25.7289i | −0.457454 | + | 1.56581i | ||||
\(271\) | −6.16784 | − | 27.0231i | −0.374670 | − | 1.64153i | −0.713477 | − | 0.700679i | \(-0.752881\pi\) |
0.338807 | − | 0.940856i | \(-0.389977\pi\) | |||||||
\(272\) | −13.1941 | + | 12.2423i | −0.800007 | + | 0.742298i | ||||
\(273\) | −17.6593 | + | 11.9195i | −1.06879 | + | 0.721404i | ||||
\(274\) | 12.9991 | + | 12.0614i | 0.785306 | + | 0.728658i | ||||
\(275\) | 2.66998 | − | 4.62455i | 0.161006 | − | 0.278871i | ||||
\(276\) | −60.5380 | − | 20.0043i | −3.64396 | − | 1.20412i | ||||
\(277\) | 8.71821 | − | 2.68921i | 0.523826 | − | 0.161579i | −0.0215541 | − | 0.999768i | \(-0.506861\pi\) |
0.545380 | + | 0.838189i | \(0.316385\pi\) | |||||||
\(278\) | 31.5061 | − | 15.1725i | 1.88961 | − | 0.909988i | ||||
\(279\) | −0.451702 | − | 12.9355i | −0.0270427 | − | 0.774427i | ||||
\(280\) | 4.03395 | + | 44.6609i | 0.241075 | + | 2.66900i | ||||
\(281\) | 31.3388 | + | 4.72357i | 1.86952 | + | 0.281784i | 0.983369 | − | 0.181617i | \(-0.0581330\pi\) |
0.886149 | + | 0.463401i | \(0.153371\pi\) | |||||||
\(282\) | 33.0958 | + | 0.660256i | 1.97083 | + | 0.0393177i | ||||
\(283\) | 1.05151 | + | 2.67920i | 0.0625058 | + | 0.159262i | 0.958714 | − | 0.284371i | \(-0.0917846\pi\) |
−0.896209 | + | 0.443633i | \(0.853689\pi\) | |||||||
\(284\) | −0.468944 | + | 6.25762i | −0.0278267 | + | 0.371322i | ||||
\(285\) | 4.44128 | − | 5.34683i | 0.263079 | − | 0.316719i | ||||
\(286\) | 3.71618 | + | 49.5890i | 0.219742 | + | 2.93226i | ||||
\(287\) | −2.29189 | − | 3.83319i | −0.135286 | − | 0.226266i | ||||
\(288\) | 54.0409 | + | 10.3648i | 3.18439 | + | 0.610751i | ||||
\(289\) | 13.6828 | + | 6.58931i | 0.804873 | + | 0.387606i | ||||
\(290\) | −7.72903 | + | 7.17149i | −0.453864 | + | 0.421125i | ||||
\(291\) | −12.0511 | − | 11.6376i | −0.706447 | − | 0.682209i | ||||
\(292\) | 5.82777 | + | 14.8489i | 0.341044 | + | 0.868966i | ||||
\(293\) | −3.32274 | + | 5.75516i | −0.194117 | + | 0.336220i | −0.946611 | − | 0.322379i | \(-0.895517\pi\) |
0.752494 | + | 0.658599i | \(0.228851\pi\) | |||||||
\(294\) | 32.7241 | − | 0.347299i | 1.90851 | − | 0.0202549i | ||||
\(295\) | 3.74357 | + | 6.48405i | 0.217959 | + | 0.377516i | ||||
\(296\) | 42.2500 | − | 52.9799i | 2.45573 | − | 3.07939i | ||||
\(297\) | 15.9045 | − | 13.0773i | 0.922871 | − | 0.758823i | ||||
\(298\) | 12.8285 | + | 56.2054i | 0.743137 | + | 3.25589i | ||||
\(299\) | −2.41965 | − | 32.2880i | −0.139932 | − | 1.86726i | ||||
\(300\) | 4.73540 | − | 11.3920i | 0.273398 | − | 0.657720i | ||||
\(301\) | 19.2805 | − | 24.9497i | 1.11131 | − | 1.43807i | ||||
\(302\) | −3.30647 | + | 2.25431i | −0.190266 | + | 0.129721i | ||||
\(303\) | 3.64493 | + | 9.86110i | 0.209396 | + | 0.566506i | ||||
\(304\) | −23.1905 | − | 15.8110i | −1.33007 | − | 0.906824i | ||||
\(305\) | 6.35720 | − | 7.97168i | 0.364012 | − | 0.456457i | ||||
\(306\) | 2.00041 | + | 10.7187i | 0.114356 | + | 0.612748i | ||||
\(307\) | −17.7877 | + | 22.3051i | −1.01520 | + | 1.27302i | −0.0535970 | + | 0.998563i | \(0.517069\pi\) |
−0.961600 | + | 0.274454i | \(0.911503\pi\) | |||||||
\(308\) | 26.9712 | − | 48.4089i | 1.53683 | − | 2.75835i | ||||
\(309\) | −17.8590 | + | 21.5003i | −1.01596 | + | 1.22311i | ||||
\(310\) | 1.66320 | − | 22.1939i | 0.0944637 | − | 1.26053i | ||||
\(311\) | −11.1294 | − | 10.3266i | −0.631092 | − | 0.585568i | 0.298386 | − | 0.954445i | \(-0.403552\pi\) |
−0.929478 | + | 0.368877i | \(0.879742\pi\) | |||||||
\(312\) | 14.4997 | + | 69.9286i | 0.820881 | + | 3.95893i | ||||
\(313\) | −5.47808 | − | 9.48831i | −0.309639 | − | 0.536311i | 0.668644 | − | 0.743583i | \(-0.266875\pi\) |
−0.978283 | + | 0.207272i | \(0.933542\pi\) | |||||||
\(314\) | 2.64893 | − | 11.6057i | 0.149487 | − | 0.654948i | ||||
\(315\) | 13.5008 | + | 6.91602i | 0.760683 | + | 0.389673i | ||||
\(316\) | 14.6061 | + | 63.9937i | 0.821660 | + | 3.59993i | ||||
\(317\) | 13.1298 | − | 12.1827i | 0.737444 | − | 0.684248i | −0.219144 | − | 0.975693i | \(-0.570326\pi\) |
0.956588 | + | 0.291445i | \(0.0941359\pi\) | |||||||
\(318\) | 18.1908 | + | 49.2140i | 1.02009 | + | 2.75978i | ||||
\(319\) | 8.00891 | − | 1.20715i | 0.448413 | − | 0.0675873i | ||||
\(320\) | 41.5927 | + | 12.8296i | 2.32510 | + | 0.717199i | ||||
\(321\) | −6.60529 | − | 4.69910i | −0.368671 | − | 0.262278i | ||||
\(322\) | −24.2062 | + | 43.4461i | −1.34896 | + | 2.42116i | ||||
\(323\) | 0.629182 | − | 2.75663i | 0.0350086 | − | 0.153383i | ||||
\(324\) | 32.5298 | − | 34.7099i | 1.80721 | − | 1.92833i | ||||
\(325\) | 6.26523 | 0.347532 | ||||||||
\(326\) | −36.2685 | + | 11.1874i | −2.00873 | + | 0.619610i | ||||
\(327\) | 0.0626586 | − | 0.150739i | 0.00346503 | − | 0.00833590i | ||||
\(328\) | −14.8032 | + | 2.23122i | −0.817367 | + | 0.123198i | ||||
\(329\) | 3.88901 | − | 18.3252i | 0.214408 | − | 1.01030i | ||||
\(330\) | 29.6453 | − | 19.3571i | 1.63192 | − | 1.06557i | ||||
\(331\) | −6.20470 | + | 1.91390i | −0.341041 | + | 0.105197i | −0.460545 | − | 0.887637i | \(-0.652346\pi\) |
0.119504 | + | 0.992834i | \(0.461870\pi\) | |||||||
\(332\) | −38.2833 | + | 48.0057i | −2.10107 | + | 2.63466i | ||||
\(333\) | −7.51691 | − | 21.6552i | −0.411924 | − | 1.18670i | ||||
\(334\) | 5.55308 | + | 6.96334i | 0.303851 | + | 0.381017i | ||||
\(335\) | 0.314737 | + | 4.19987i | 0.0171959 | + | 0.229463i | ||||
\(336\) | 22.6443 | − | 56.9142i | 1.23535 | − | 3.10493i | ||||
\(337\) | −0.579902 | + | 7.73825i | −0.0315892 | + | 0.421529i | 0.958882 | + | 0.283807i | \(0.0915973\pi\) |
−0.990471 | + | 0.137723i | \(0.956022\pi\) | |||||||
\(338\) | −19.2142 | + | 13.1000i | −1.04511 | + | 0.712546i | ||||
\(339\) | 13.7756 | − | 6.29866i | 0.748189 | − | 0.342096i | ||||
\(340\) | 1.01649 | + | 13.5642i | 0.0551271 | + | 0.735621i | ||||
\(341\) | −10.6596 | + | 13.3667i | −0.577249 | + | 0.723847i | ||||
\(342\) | −15.6017 | + | 6.76066i | −0.843641 | + | 0.365575i | ||||
\(343\) | 3.28943 | − | 18.2258i | 0.177613 | − | 0.984101i | ||||
\(344\) | −52.8463 | − | 91.5325i | −2.84928 | − | 4.93510i | ||||
\(345\) | −19.3024 | + | 12.6036i | −1.03921 | + | 0.678558i | ||||
\(346\) | −38.6645 | + | 26.3610i | −2.07862 | + | 1.41718i | ||||
\(347\) | 3.97002 | + | 1.22459i | 0.213122 | + | 0.0657395i | 0.399478 | − | 0.916743i | \(-0.369191\pi\) |
−0.186356 | + | 0.982482i | \(0.559668\pi\) | |||||||
\(348\) | 17.9873 | − | 5.15776i | 0.964219 | − | 0.276485i | ||||
\(349\) | −6.63151 | − | 4.52129i | −0.354977 | − | 0.242019i | 0.372681 | − | 0.927960i | \(-0.378439\pi\) |
−0.727658 | + | 0.685941i | \(0.759391\pi\) | |||||||
\(350\) | −8.03327 | − | 5.29903i | −0.429397 | − | 0.283245i | ||||
\(351\) | 22.6177 | + | 8.48863i | 1.20725 | + | 0.453089i | ||||
\(352\) | −45.3169 | − | 56.8256i | −2.41540 | − | 3.02881i | ||||
\(353\) | 5.05095 | + | 3.44368i | 0.268835 | + | 0.183289i | 0.690233 | − | 0.723587i | \(-0.257508\pi\) |
−0.421398 | + | 0.906876i | \(0.638460\pi\) | |||||||
\(354\) | −1.00415 | − | 18.2880i | −0.0533700 | − | 0.971995i | ||||
\(355\) | 1.66324 | + | 1.54326i | 0.0882754 | + | 0.0819076i | ||||
\(356\) | 21.6925 | + | 55.2715i | 1.14970 | + | 2.92938i | ||||
\(357\) | 6.17060 | + | 0.0288004i | 0.326583 | + | 0.00152428i | ||||
\(358\) | 0.762576 | − | 1.94301i | 0.0403034 | − | 0.102691i | ||||
\(359\) | 7.13699 | − | 3.43699i | 0.376676 | − | 0.181398i | −0.235960 | − | 0.971763i | \(-0.575823\pi\) |
0.612636 | + | 0.790365i | \(0.290109\pi\) | |||||||
\(360\) | 38.6231 | − | 33.0705i | 2.03561 | − | 1.74297i | ||||
\(361\) | −14.5907 | −0.767933 | ||||||||
\(362\) | 24.9680 | + | 43.2459i | 1.31229 | + | 2.27295i | ||||
\(363\) | −8.14340 | − | 0.162460i | −0.427418 | − | 0.00852692i | ||||
\(364\) | 65.0097 | − | 0.993417i | 3.40743 | − | 0.0520692i | ||||
\(365\) | 5.51139 | + | 1.70004i | 0.288479 | + | 0.0889841i | ||||
\(366\) | −22.6838 | + | 10.3718i | −1.18570 | + | 0.542141i | ||||
\(367\) | −9.61945 | + | 24.5099i | −0.502131 | + | 1.27941i | 0.425177 | + | 0.905110i | \(0.360212\pi\) |
−0.927308 | + | 0.374299i | \(0.877883\pi\) | |||||||
\(368\) | 58.0396 | + | 72.7794i | 3.02553 | + | 3.79389i | ||||
\(369\) | −2.03666 | + | 4.63649i | −0.106024 | + | 0.241366i | ||||
\(370\) | −8.77083 | − | 38.4275i | −0.455974 | − | 1.99775i | ||||
\(371\) | 29.2901 | − | 4.87359i | 1.52067 | − | 0.253024i | ||||
\(372\) | −20.4277 | + | 33.8062i | −1.05913 | + | 1.75277i | ||||
\(373\) | 7.82442 | − | 13.5523i | 0.405133 | − | 0.701711i | −0.589204 | − | 0.807984i | \(-0.700558\pi\) |
0.994337 | + | 0.106273i | \(0.0338918\pi\) | |||||||
\(374\) | 7.20130 | − | 12.4730i | 0.372370 | − | 0.644964i | ||||
\(375\) | −10.1408 | − | 18.4025i | −0.523667 | − | 0.950301i | ||||
\(376\) | −51.8827 | − | 35.3730i | −2.67565 | − | 1.82423i | ||||
\(377\) | 5.92487 | + | 7.42955i | 0.305146 | + | 0.382641i | ||||
\(378\) | −21.8209 | − | 30.0138i | −1.12235 | − | 1.54375i | ||||
\(379\) | 5.53169 | − | 6.93652i | 0.284144 | − | 0.356305i | −0.619192 | − | 0.785240i | \(-0.712540\pi\) |
0.903335 | + | 0.428935i | \(0.141111\pi\) | |||||||
\(380\) | −20.2691 | + | 6.25218i | −1.03978 | + | 0.320730i | ||||
\(381\) | 1.08438 | + | 19.7492i | 0.0555546 | + | 1.01178i | ||||
\(382\) | 1.34931 | − | 18.0053i | 0.0690367 | − | 0.921230i | ||||
\(383\) | −2.92653 | + | 0.441104i | −0.149539 | + | 0.0225393i | −0.223385 | − | 0.974730i | \(-0.571711\pi\) |
0.0738462 | + | 0.997270i | \(0.476473\pi\) | |||||||
\(384\) | −30.8876 | − | 29.8278i | −1.57623 | − | 1.52215i | ||||
\(385\) | −7.60432 | − | 18.5375i | −0.387552 | − | 0.944760i | ||||
\(386\) | −9.58936 | + | 4.61799i | −0.488086 | + | 0.235050i | ||||
\(387\) | −35.7247 | − | 1.42597i | −1.81599 | − | 0.0724862i | ||||
\(388\) | 11.3763 | + | 49.8426i | 0.577542 | + | 2.53038i | ||||
\(389\) | 0.781255 | + | 10.4251i | 0.0396112 | + | 0.528575i | 0.981350 | + | 0.192230i | \(0.0615719\pi\) |
−0.941739 | + | 0.336345i | \(0.890809\pi\) | |||||||
\(390\) | 37.0594 | + | 18.7665i | 1.87658 | + | 0.950278i | ||||
\(391\) | −4.68885 | + | 8.12132i | −0.237125 | + | 0.410713i | ||||
\(392\) | −52.3373 | − | 33.3872i | −2.64343 | − | 1.68631i | ||||
\(393\) | −3.75006 | − | 18.0857i | −0.189166 | − | 0.912303i | ||||
\(394\) | −46.7132 | − | 7.04088i | −2.35338 | − | 0.354715i | ||||
\(395\) | 21.3830 | + | 10.2975i | 1.07589 | + | 0.518123i | ||||
\(396\) | −62.4574 | + | 6.87953i | −3.13860 | + | 0.345709i | ||||
\(397\) | 14.9519 | + | 7.20045i | 0.750414 | + | 0.361380i | 0.769677 | − | 0.638434i | \(-0.220417\pi\) |
−0.0192624 | + | 0.999814i | \(0.506132\pi\) | |||||||
\(398\) | −12.2426 | − | 8.34685i | −0.613665 | − | 0.418390i | ||||
\(399\) | 2.09742 | + | 9.39124i | 0.105002 | + | 0.470150i | ||||
\(400\) | −14.8827 | + | 10.1468i | −0.744134 | + | 0.507342i | ||||
\(401\) | −32.7580 | + | 4.93747i | −1.63586 | + | 0.246566i | −0.901683 | − | 0.432398i | \(-0.857668\pi\) |
−0.734172 | + | 0.678963i | \(0.762430\pi\) | |||||||
\(402\) | 3.95458 | − | 9.51363i | 0.197237 | − | 0.474497i | ||||
\(403\) | −19.8349 | − | 2.98964i | −0.988049 | − | 0.148924i | ||||
\(404\) | 7.13906 | − | 31.2783i | 0.355181 | − | 1.55615i | ||||
\(405\) | −2.47867 | − | 17.0206i | −0.123166 | − | 0.845763i | ||||
\(406\) | −1.31307 | − | 14.5373i | −0.0651666 | − | 0.721475i | ||||
\(407\) | −11.0619 | + | 28.1852i | −0.548317 | + | 1.39709i | ||||
\(408\) | 7.93926 | − | 19.0997i | 0.393052 | − | 0.945574i | ||||
\(409\) | 9.70795 | + | 9.00766i | 0.480027 | + | 0.445400i | 0.882695 | − | 0.469946i | \(-0.155727\pi\) |
−0.402668 | + | 0.915346i | \(0.631917\pi\) | |||||||
\(410\) | −4.35386 | + | 7.54110i | −0.215022 | + | 0.372429i | ||||
\(411\) | −10.8045 | − | 3.57025i | −0.532945 | − | 0.176108i | ||||
\(412\) | 81.5046 | − | 25.1408i | 4.01544 | − | 1.23860i | ||||
\(413\) | −10.2718 | − | 1.38806i | −0.505440 | − | 0.0683019i | ||||
\(414\) | 56.0544 | − | 6.17426i | 2.75493 | − | 0.303448i | ||||
\(415\) | 4.94020 | + | 21.6444i | 0.242505 | + | 1.06248i | ||||
\(416\) | 31.1550 | − | 79.3816i | 1.52750 | − | 3.89200i | ||||
\(417\) | −14.3379 | + | 17.2613i | −0.702130 | + | 0.845290i | ||||
\(418\) | 21.4618 | + | 6.62008i | 1.04973 | + | 0.323798i | ||||
\(419\) | −0.572181 | − | 0.176494i | −0.0279529 | − | 0.00862232i | 0.280747 | − | 0.959782i | \(-0.409418\pi\) |
−0.308700 | + | 0.951159i | \(0.599894\pi\) | |||||||
\(420\) | −22.9582 | − | 40.1968i | −1.12024 | − | 1.96140i | ||||
\(421\) | 32.8539 | − | 10.1341i | 1.60120 | − | 0.493906i | 0.639683 | − | 0.768639i | \(-0.279066\pi\) |
0.961521 | + | 0.274733i | \(0.0885895\pi\) | |||||||
\(422\) | 10.4935 | 0.510816 | ||||||||
\(423\) | −19.4903 | + | 8.44574i | −0.947653 | + | 0.410646i | ||||
\(424\) | 22.1475 | − | 97.0347i | 1.07558 | − | 4.71242i | ||||
\(425\) | −1.49928 | − | 1.02219i | −0.0727256 | − | 0.0495835i | ||||
\(426\) | −1.92433 | − | 5.20612i | −0.0932339 | − | 0.252238i | ||||
\(427\) | 3.35088 | + | 13.7120i | 0.162161 | + | 0.663568i | ||||
\(428\) | 9.03763 | + | 23.0275i | 0.436850 | + | 1.11308i | ||||
\(429\) | −15.4007 | − | 27.9477i | −0.743552 | − | 1.34933i | ||||
\(430\) | −60.7909 | − | 9.16276i | −2.93160 | − | 0.441867i | ||||
\(431\) | 13.5408 | − | 6.52090i | 0.652237 | − | 0.314101i | −0.0783444 | − | 0.996926i | \(-0.524963\pi\) |
0.730582 | + | 0.682826i | \(0.239249\pi\) | |||||||
\(432\) | −67.4748 | + | 16.4663i | −3.24638 | + | 0.792235i | ||||
\(433\) | −25.1961 | − | 12.1338i | −1.21085 | − | 0.583114i | −0.284100 | − | 0.958795i | \(-0.591695\pi\) |
−0.926749 | + | 0.375681i | \(0.877409\pi\) | |||||||
\(434\) | 22.9038 | + | 20.6094i | 1.09942 | + | 0.989282i | ||||
\(435\) | 2.59694 | − | 6.24753i | 0.124514 | − | 0.299546i | ||||
\(436\) | −0.411602 | + | 0.280625i | −0.0197122 | + | 0.0134395i | ||||
\(437\) | −13.9740 | − | 4.31041i | −0.668467 | − | 0.206195i | ||||
\(438\) | −10.1493 | − | 9.80105i | −0.484951 | − | 0.468312i | ||||
\(439\) | 30.6155 | + | 4.61455i | 1.46120 | + | 0.220240i | 0.831035 | − | 0.556221i | \(-0.187749\pi\) |
0.630165 | + | 0.776461i | \(0.282987\pi\) | |||||||
\(440\) | −67.1626 | −3.20185 | ||||||||
\(441\) | −19.0046 | + | 8.93455i | −0.904980 | + | 0.425455i | ||||
\(442\) | 16.8981 | 0.803762 | ||||||||
\(443\) | 6.65455 | + | 1.00301i | 0.316167 | + | 0.0476545i | 0.305209 | − | 0.952285i | \(-0.401274\pi\) |
0.0109583 | + | 0.999940i | \(0.496512\pi\) | |||||||
\(444\) | −16.9231 | + | 67.8746i | −0.803133 | + | 3.22118i | ||||
\(445\) | 20.5148 | + | 6.32799i | 0.972496 | + | 0.299975i | ||||
\(446\) | 24.4772 | − | 16.6883i | 1.15903 | − | 0.790212i | ||||
\(447\) | −22.4840 | − | 29.3775i | −1.06346 | − | 1.38951i | ||||
\(448\) | −49.2627 | + | 34.7011i | −2.32744 | + | 1.63947i | ||||
\(449\) | 1.67845 | + | 0.808297i | 0.0792108 | + | 0.0381459i | 0.473070 | − | 0.881025i | \(-0.343146\pi\) |
−0.393859 | + | 0.919171i | \(0.628860\pi\) | |||||||
\(450\) | 0.380814 | + | 10.9055i | 0.0179518 | + | 0.514088i | ||||
\(451\) | 6.02663 | − | 2.90227i | 0.283783 | − | 0.136663i | ||||
\(452\) | −45.7081 | − | 6.88939i | −2.14993 | − | 0.324050i | ||||
\(453\) | 1.32807 | − | 2.19785i | 0.0623984 | − | 0.103264i | ||||
\(454\) | 25.4058 | + | 64.7329i | 1.19235 | + | 3.03807i | ||||
\(455\) | 14.3747 | − | 18.6014i | 0.673896 | − | 0.872047i | ||||
\(456\) | 31.7924 | + | 5.44256i | 1.48882 | + | 0.254871i | ||||
\(457\) | 4.61471 | + | 3.14626i | 0.215867 | + | 0.147176i | 0.666426 | − | 0.745571i | \(-0.267823\pi\) |
−0.450559 | + | 0.892746i | \(0.648775\pi\) | |||||||
\(458\) | 6.17177 | − | 27.0403i | 0.288388 | − | 1.26351i | ||||
\(459\) | −4.02751 | − | 5.72149i | −0.187988 | − | 0.267056i | ||||
\(460\) | 70.3495 | 3.28006 | ||||||||
\(461\) | 4.12060 | − | 1.27104i | 0.191916 | − | 0.0591981i | −0.197307 | − | 0.980342i | \(-0.563220\pi\) |
0.389223 | + | 0.921144i | \(0.372744\pi\) | |||||||
\(462\) | −3.89098 | + | 48.8602i | −0.181025 | + | 2.27318i | ||||
\(463\) | −24.8452 | − | 7.66373i | −1.15465 | − | 0.356164i | −0.342450 | − | 0.939536i | \(-0.611257\pi\) |
−0.812205 | + | 0.583372i | \(0.801733\pi\) | |||||||
\(464\) | −26.1067 | − | 8.05284i | −1.21197 | − | 0.373844i | ||||
\(465\) | 4.95145 | + | 13.3958i | 0.229618 | + | 0.621215i | ||||
\(466\) | −10.6238 | + | 27.0691i | −0.492140 | + | 1.25395i | ||||
\(467\) | −5.12701 | − | 22.4629i | −0.237250 | − | 1.03946i | −0.943468 | − | 0.331465i | \(-0.892457\pi\) |
0.706218 | − | 0.707995i | \(-0.250400\pi\) | |||||||
\(468\) | −43.6299 | − | 59.4261i | −2.01679 | − | 2.74697i | ||||
\(469\) | −4.86706 | − | 3.21048i | −0.224740 | − | 0.148246i | ||||
\(470\) | −34.9022 | + | 10.7659i | −1.60992 | + | 0.496594i | ||||
\(471\) | 1.55091 | + | 7.47972i | 0.0714624 | + | 0.344647i | ||||
\(472\) | −17.3719 | + | 30.0890i | −0.799607 | + | 1.38496i | ||||
\(473\) | 34.6188 | + | 32.1216i | 1.59177 | + | 1.47695i | ||||
\(474\) | −35.2860 | − | 46.1046i | −1.62074 | − | 2.11765i | ||||
\(475\) | 1.03380 | − | 2.63407i | 0.0474339 | − | 0.120860i | ||||
\(476\) | −15.7190 | − | 10.3688i | −0.720478 | − | 0.475252i | ||||
\(477\) | −23.7478 | − | 23.8665i | −1.08734 | − | 1.09277i | ||||
\(478\) | 0.0165333 | − | 0.0724372i | 0.000756217 | − | 0.00331320i | ||||
\(479\) | −30.1494 | − | 4.54430i | −1.37756 | − | 0.207634i | −0.581844 | − | 0.813300i | \(-0.697669\pi\) |
−0.795719 | + | 0.605666i | \(0.792907\pi\) | |||||||
\(480\) | −60.2055 | + | 7.84983i | −2.74799 | + | 0.358294i | ||||
\(481\) | −35.1278 | + | 5.29466i | −1.60169 | + | 0.241416i | ||||
\(482\) | 35.4799 | − | 24.1898i | 1.61607 | − | 1.10181i | ||||
\(483\) | 2.53346 | − | 31.8135i | 0.115276 | − | 1.44756i | ||||
\(484\) | 20.5369 | + | 14.0018i | 0.933493 | + | 0.636445i | ||||
\(485\) | 16.6545 | + | 8.02039i | 0.756243 | + | 0.364187i | ||||
\(486\) | −13.4008 | + | 39.8852i | −0.607874 | + | 1.80923i | ||||
\(487\) | −20.7532 | − | 9.99423i | −0.940419 | − | 0.452882i | −0.100102 | − | 0.994977i | \(-0.531917\pi\) |
−0.840317 | + | 0.542095i | \(0.817631\pi\) | |||||||
\(488\) | 46.7864 | + | 7.05192i | 2.11792 | + | 0.319225i | ||||
\(489\) | 18.1805 | − | 16.2064i | 0.822153 | − | 0.732878i | ||||
\(490\) | −34.1640 | + | 11.6928i | −1.54337 | + | 0.528228i | ||||
\(491\) | −2.00079 | + | 3.46547i | −0.0902943 | + | 0.156394i | −0.907635 | − | 0.419760i | \(-0.862114\pi\) |
0.817341 | + | 0.576155i | \(0.195447\pi\) | |||||||
\(492\) | 12.9397 | − | 8.44907i | 0.583366 | − | 0.380913i | ||||
\(493\) | −0.205676 | − | 2.74456i | −0.00926319 | − | 0.123609i | ||||
\(494\) | 5.86368 | + | 25.6905i | 0.263820 | + | 1.15587i | ||||
\(495\) | −12.1354 | + | 19.2068i | −0.545445 | + | 0.863283i | ||||
\(496\) | 51.9586 | − | 25.0219i | 2.33301 | − | 1.12352i | ||||
\(497\) | −3.09847 | + | 0.515555i | −0.138986 | + | 0.0231258i | ||||
\(498\) | 13.1387 | − | 52.6965i | 0.588761 | − | 2.36138i | ||||
\(499\) | −10.4789 | + | 1.57944i | −0.469100 | + | 0.0707055i | −0.379339 | − | 0.925258i | \(-0.623849\pi\) |
−0.0897614 | + | 0.995963i | \(0.528610\pi\) | |||||||
\(500\) | −4.79171 | + | 63.9410i | −0.214292 | + | 2.85953i | ||||
\(501\) | −5.09873 | − | 2.58195i | −0.227795 | − | 0.115353i | ||||
\(502\) | 6.89931 | − | 2.12816i | 0.307931 | − | 0.0949843i | ||||
\(503\) | 19.1141 | − | 23.9683i | 0.852255 | − | 1.06869i | −0.144603 | − | 0.989490i | \(-0.546191\pi\) |
0.996858 | − | 0.0792046i | \(-0.0252380\pi\) | |||||||
\(504\) | 3.53115 | + | 70.3032i | 0.157290 | + | 3.13155i | ||||
\(505\) | −7.23258 | − | 9.06937i | −0.321845 | − | 0.403581i | ||||
\(506\) | −61.5457 | − | 41.9612i | −2.73604 | − | 1.86540i | ||||
\(507\) | 7.71755 | − | 12.7719i | 0.342749 | − | 0.567220i | ||||
\(508\) | 30.1793 | − | 52.2720i | 1.33899 | − | 2.31920i | ||||
\(509\) | 6.93499 | − | 12.0118i | 0.307388 | − | 0.532412i | −0.670402 | − | 0.741998i | \(-0.733878\pi\) |
0.977790 | + | 0.209586i | \(0.0672117\pi\) | |||||||
\(510\) | −5.80655 | − | 10.5372i | −0.257119 | − | 0.466595i | ||||
\(511\) | −6.52773 | + | 4.59819i | −0.288770 | + | 0.203412i | ||||
\(512\) | 1.79915 | + | 7.88260i | 0.0795120 | + | 0.348365i | ||||
\(513\) | 7.30091 | − | 8.10845i | 0.322343 | − | 0.357997i | ||||
\(514\) | −50.2306 | − | 62.9872i | −2.21558 | − | 2.77825i | ||||
\(515\) | 11.2671 | − | 28.7080i | 0.496486 | − | 1.26503i | ||||
\(516\) | 88.9041 | + | 63.2476i | 3.91378 | + | 2.78432i | ||||
\(517\) | 26.8110 | + | 8.27011i | 1.17915 | + | 0.363719i | ||||
\(518\) | 49.5190 | + | 22.9217i | 2.17574 | + | 1.00712i | ||||
\(519\) | 15.5300 | − | 25.7008i | 0.681691 | − | 1.12814i | ||||
\(520\) | −39.3999 | − | 68.2427i | −1.72780 | − | 2.99264i | ||||
\(521\) | −30.0013 | −1.31438 | −0.657190 | − | 0.753725i | \(-0.728255\pi\) | ||||
−0.657190 | + | 0.753725i | \(0.728255\pi\) | |||||||
\(522\) | −12.5720 | + | 10.7646i | −0.550261 | + | 0.471154i | ||||
\(523\) | −39.9513 | + | 19.2396i | −1.74695 | + | 0.841287i | −0.767107 | + | 0.641519i | \(0.778304\pi\) |
−0.979843 | + | 0.199768i | \(0.935981\pi\) | |||||||
\(524\) | −20.5926 | + | 52.4690i | −0.899591 | + | 2.29212i | ||||
\(525\) | 6.10204 | + | 0.948883i | 0.266315 | + | 0.0414126i | ||||
\(526\) | −8.59339 | − | 21.8956i | −0.374690 | − | 0.954694i | ||||
\(527\) | 4.25876 | + | 3.95155i | 0.185514 | + | 0.172132i | ||||
\(528\) | 81.8460 | + | 41.4460i | 3.56189 | + | 1.80370i | ||||
\(529\) | 21.0697 | + | 14.3650i | 0.916072 | + | 0.624567i | ||||
\(530\) | −36.0957 | − | 45.2626i | −1.56790 | − | 1.96608i | ||||
\(531\) | 5.46584 | + | 10.4046i | 0.237197 | + | 0.451522i | ||||
\(532\) | 10.3093 | − | 27.4958i | 0.446965 | − | 1.19209i | ||||
\(533\) | 6.48438 | + | 4.42098i | 0.280870 | + | 0.191494i | ||||
\(534\) | −37.7782 | − | 36.4821i | −1.63482 | − | 1.57873i | ||||
\(535\) | 8.54700 | + | 2.63640i | 0.369519 | + | 0.113982i | ||||
\(536\) | −16.1480 | + | 11.0095i | −0.697488 | + | 0.475539i | ||||
\(537\) | 0.0734330 | + | 1.33739i | 0.00316887 | + | 0.0577127i | ||||
\(538\) | −7.76707 | − | 13.4530i | −0.334862 | − | 0.579998i | ||||
\(539\) | 26.7436 | + | 7.36235i | 1.15193 | + | 0.317119i | ||||
\(540\) | −22.0643 | + | 47.6264i | −0.949494 | + | 2.04951i | ||||
\(541\) | 26.8899 | − | 33.7188i | 1.15609 | − | 1.44968i | 0.285017 | − | 0.958522i | \(-0.408001\pi\) |
0.871068 | − | 0.491163i | \(-0.163428\pi\) | |||||||
\(542\) | −5.59102 | − | 74.6070i | −0.240155 | − | 3.20465i | ||||
\(543\) | −26.1104 | − | 18.5753i | −1.12050 | − | 0.797142i | ||||
\(544\) | −20.4067 | + | 13.9131i | −0.874932 | + | 0.596518i | ||||
\(545\) | −0.0134605 | + | 0.179618i | −0.000576584 | + | 0.00769398i | ||||
\(546\) | −51.9286 | + | 24.7096i | −2.22234 | + | 1.05747i | ||||
\(547\) | −0.280367 | − | 3.74123i | −0.0119876 | − | 0.159964i | −0.999985 | − | 0.00549249i | \(-0.998252\pi\) |
0.987997 | − | 0.154471i | \(-0.0493674\pi\) | |||||||
\(548\) | 21.6507 | + | 27.1491i | 0.924872 | + | 1.15975i | ||||
\(549\) | 10.4704 | − | 12.1056i | 0.446864 | − | 0.516654i | ||||
\(550\) | 8.98673 | − | 11.2690i | 0.383195 | − | 0.480512i | ||||
\(551\) | 4.10122 | − | 1.26506i | 0.174718 | − | 0.0538933i | ||||
\(552\) | −95.4371 | − | 48.3284i | −4.06207 | − | 2.05699i | ||||
\(553\) | −29.3811 | + | 14.7064i | −1.24941 | + | 0.625380i | ||||
\(554\) | 24.3511 | − | 3.67034i | 1.03458 | − | 0.155938i | ||||
\(555\) | 15.3722 | + | 20.0853i | 0.652515 | + | 0.852574i | ||||
\(556\) | 65.4352 | − | 20.1841i | 2.77507 | − | 0.855996i | ||||
\(557\) | −21.7646 | −0.922197 | −0.461098 | − | 0.887349i | \(-0.652544\pi\) | ||||
−0.461098 | + | 0.887349i | \(0.652544\pi\) | |||||||
\(558\) | 3.99825 | − | 34.7071i | 0.169259 | − | 1.46927i | ||||
\(559\) | −12.3295 | + | 54.0192i | −0.521484 | + | 2.28477i | ||||
\(560\) | −4.02038 | + | 67.4670i | −0.169892 | + | 2.85100i | ||||
\(561\) | −0.874346 | + | 9.20059i | −0.0369149 | + | 0.388449i | ||||
\(562\) | 81.7444 | + | 25.2148i | 3.44818 | + | 1.06362i | ||||
\(563\) | −2.63715 | + | 0.397486i | −0.111143 | + | 0.0167521i | −0.204378 | − | 0.978892i | \(-0.565517\pi\) |
0.0932354 | + | 0.995644i | \(0.470279\pi\) | |||||||
\(564\) | 63.8925 | + | 10.9378i | 2.69036 | + | 0.460564i | ||||
\(565\) | −12.2518 | + | 11.3680i | −0.515437 | + | 0.478256i | ||||
\(566\) | 1.72870 | + | 7.57393i | 0.0726627 | + | 0.318356i | ||||
\(567\) | 20.7430 | + | 11.6930i | 0.871125 | + | 0.491062i | ||||
\(568\) | −2.34289 | + | 10.2649i | −0.0983055 | + | 0.430704i | ||||
\(569\) | 16.3036 | + | 28.2386i | 0.683481 | + | 1.18382i | 0.973912 | + | 0.226927i | \(0.0728679\pi\) |
−0.290431 | + | 0.956896i | \(0.593799\pi\) | |||||||
\(570\) | 14.0050 | − | 12.4842i | 0.586603 | − | 0.522906i | ||||
\(571\) | 2.41893 | + | 2.24444i | 0.101229 | + | 0.0939267i | 0.729164 | − | 0.684339i | \(-0.239909\pi\) |
−0.627935 | + | 0.778266i | \(0.716100\pi\) | |||||||
\(572\) | −7.27713 | + | 97.1065i | −0.304272 | + | 4.06023i | ||||
\(573\) | 4.01697 | + | 10.8676i | 0.167811 | + | 0.454001i | ||||
\(574\) | −4.57508 | − | 11.1530i | −0.190960 | − | 0.465516i | ||||
\(575\) | −5.85136 | + | 7.33738i | −0.244019 | + | 0.305990i | ||||
\(576\) | 64.4350 | + | 22.7273i | 2.68479 | + | 0.946973i | ||||
\(577\) | 19.1296 | − | 23.9877i | 0.796375 | − | 0.998623i | −0.203434 | − | 0.979089i | \(-0.565210\pi\) |
0.999809 | − | 0.0195340i | \(-0.00621825\pi\) | |||||||
\(578\) | 33.8692 | + | 23.0917i | 1.40877 | + | 0.960486i | ||||
\(579\) | 4.36396 | − | 5.25374i | 0.181360 | − | 0.218338i | ||||
\(580\) | −17.0592 | + | 11.6308i | −0.708345 | + | 0.482942i | ||||
\(581\) | −27.8917 | − | 12.9107i | −1.15714 | − | 0.535627i | ||||
\(582\) | −27.4831 | − | 35.9094i | −1.13921 | − | 1.48849i | ||||
\(583\) | 3.32340 | + | 44.3477i | 0.137641 | + | 1.83669i | ||||
\(584\) | 5.95566 | + | 26.0935i | 0.246447 | + | 1.07975i | ||||
\(585\) | −26.6348 | − | 1.06314i | −1.10121 | − | 0.0439555i | ||||
\(586\) | −11.1838 | + | 14.0240i | −0.461998 | + | 0.579328i | ||||
\(587\) | −2.34163 | − | 4.05582i | −0.0966495 | − | 0.167402i | 0.813646 | − | 0.581360i | \(-0.197479\pi\) |
−0.910296 | + | 0.413958i | \(0.864146\pi\) | |||||||
\(588\) | 63.4669 | + | 8.87832i | 2.61733 | + | 0.366136i | ||||
\(589\) | −4.52980 | + | 7.84585i | −0.186647 | + | 0.323283i | ||||
\(590\) | 7.38325 | + | 18.8122i | 0.303964 | + | 0.774487i | ||||
\(591\) | 29.1398 | − | 8.35568i | 1.19865 | − | 0.343707i | ||||
\(592\) | 74.8690 | − | 69.4682i | 3.07710 | − | 2.85513i | ||||
\(593\) | 2.38705 | + | 1.14954i | 0.0980242 | + | 0.0472060i | 0.482253 | − | 0.876032i | \(-0.339818\pi\) |
−0.384229 | + | 0.923238i | \(0.625533\pi\) | |||||||
\(594\) | 47.7106 | − | 28.5057i | 1.95759 | − | 1.16960i | ||||
\(595\) | −6.47475 | + | 2.10606i | −0.265439 | + | 0.0863402i | ||||
\(596\) | 8.43654 | + | 112.578i | 0.345574 | + | 4.61137i | ||||
\(597\) | 9.37178 | + | 1.60436i | 0.383562 | + | 0.0656620i | ||||
\(598\) | 6.53109 | − | 87.1514i | 0.267076 | − | 3.56389i | ||||
\(599\) | −6.76005 | − | 17.2243i | −0.276208 | − | 0.703767i | −0.999907 | − | 0.0136509i | \(-0.995655\pi\) |
0.723699 | − | 0.690116i | \(-0.242441\pi\) | |||||||
\(600\) | 10.7054 | − | 17.7166i | 0.437047 | − | 0.723276i | ||||
\(601\) | −10.3925 | − | 1.56641i | −0.423918 | − | 0.0638953i | −0.0663810 | − | 0.997794i | \(-0.521145\pi\) |
−0.357537 | + | 0.933899i | \(0.616383\pi\) | |||||||
\(602\) | 61.4975 | − | 58.8353i | 2.50645 | − | 2.39795i | ||||
\(603\) | 0.230721 | + | 6.60721i | 0.00939569 | + | 0.269066i | ||||
\(604\) | −7.06044 | + | 3.40013i | −0.287285 | + | 0.138349i | ||||
\(605\) | 8.58788 | − | 2.64901i | 0.349147 | − | 0.107698i | ||||
\(606\) | 5.76142 | + | 27.7860i | 0.234042 | + | 1.12873i | ||||
\(607\) | 2.95637 | − | 5.12058i | 0.119995 | − | 0.207838i | −0.799770 | − | 0.600306i | \(-0.795045\pi\) |
0.919766 | + | 0.392468i | \(0.128379\pi\) | |||||||
\(608\) | −28.2334 | − | 26.1968i | −1.14502 | − | 1.06242i | ||||
\(609\) | 4.64533 | + | 8.13337i | 0.188238 | + | 0.329581i | ||||
\(610\) | 20.1746 | − | 18.7193i | 0.816845 | − | 0.757922i | ||||
\(611\) | 7.32519 | + | 32.0938i | 0.296346 | + | 1.29837i | ||||
\(612\) | 0.745152 | + | 21.3391i | 0.0301210 | + | 0.862581i | ||||
\(613\) | 17.9784 | + | 22.5442i | 0.726141 | + | 0.910552i | 0.998668 | − | 0.0515957i | \(-0.0164307\pi\) |
−0.272527 | + | 0.962148i | \(0.587859\pi\) | |||||||
\(614\) | −56.4493 | + | 52.3773i | −2.27811 | + | 2.11378i | ||||
\(615\) | 0.528624 | − | 5.56262i | 0.0213162 | − | 0.224306i | ||||
\(616\) | 56.8541 | − | 73.5714i | 2.29072 | − | 2.96427i | ||||
\(617\) | 11.4654 | + | 10.6383i | 0.461578 | + | 0.428282i | 0.876373 | − | 0.481633i | \(-0.159956\pi\) |
−0.414795 | + | 0.909915i | \(0.636147\pi\) | |||||||
\(618\) | −56.3157 | + | 50.2006i | −2.26535 | + | 2.01936i | ||||
\(619\) | −11.8112 | − | 20.4576i | −0.474732 | − | 0.822261i | 0.524849 | − | 0.851195i | \(-0.324122\pi\) |
−0.999581 | + | 0.0289348i | \(0.990788\pi\) | |||||||
\(620\) | 9.69804 | − | 42.4899i | 0.389483 | − | 1.70644i | ||||
\(621\) | −31.0650 | + | 18.5604i | −1.24659 | + | 0.744802i | ||||
\(622\) | −25.5506 | − | 32.0395i | −1.02449 | − | 1.28467i | ||||
\(623\) | −24.2979 | + | 17.1157i | −0.973476 | + | 0.685724i | ||||
\(624\) | 5.90126 | + | 107.476i | 0.236239 | + | 4.30248i | ||||
\(625\) | 12.0559 | + | 11.1862i | 0.482235 | + | 0.447449i | ||||
\(626\) | −10.8041 | − | 27.5285i | −0.431820 | − | 1.10026i | ||||
\(627\) | −14.2912 | + | 1.86334i | −0.570735 | + | 0.0744146i | ||||
\(628\) | 8.51649 | − | 21.6997i | 0.339845 | − | 0.865910i | ||||
\(629\) | 9.26996 | + | 4.46418i | 0.369617 | + | 0.177998i | ||||
\(630\) | 33.2519 | + | 23.8904i | 1.32479 | + | 0.951817i | ||||
\(631\) | −32.7739 | + | 15.7831i | −1.30471 | + | 0.628314i | −0.951620 | − | 0.307277i | \(-0.900582\pi\) |
−0.353087 | + | 0.935591i | \(0.614868\pi\) | |||||||
\(632\) | 8.23030 | + | 109.826i | 0.327384 | + | 4.36863i | ||||
\(633\) | −6.12384 | + | 2.80002i | −0.243401 | + | 0.111291i | ||||
\(634\) | 39.9450 | − | 27.2341i | 1.58642 | − | 1.08160i | ||||
\(635\) | −7.97317 | − | 20.3153i | −0.316406 | − | 0.806188i | ||||
\(636\) | 20.8604 | + | 100.605i | 0.827167 | + | 3.98924i | ||||
\(637\) | 8.20798 | + | 31.4927i | 0.325212 | + | 1.24779i | ||||
\(638\) | 21.8617 | 0.865515 | ||||||||
\(639\) | 2.51217 | + | 2.52473i | 0.0993799 | + | 0.0998770i | ||||
\(640\) | 42.6864 | + | 20.5567i | 1.68733 | + | 0.812575i | ||||
\(641\) | 9.78660 | − | 9.08064i | 0.386548 | − | 0.358664i | −0.462832 | − | 0.886446i | \(-0.653167\pi\) |
0.849380 | + | 0.527782i | \(0.176976\pi\) | |||||||
\(642\) | −15.7394 | − | 15.1994i | −0.621184 | − | 0.599871i | ||||
\(643\) | 1.32966 | − | 17.7431i | 0.0524367 | − | 0.699719i | −0.907598 | − | 0.419840i | \(-0.862086\pi\) |
0.960035 | − | 0.279880i | \(-0.0902946\pi\) | |||||||
\(644\) | −59.5519 | + | 77.0624i | −2.34667 | + | 3.03668i | ||||
\(645\) | 37.9215 | − | 10.8738i | 1.49316 | − | 0.428155i | ||||
\(646\) | 2.78829 | − | 7.10444i | 0.109704 | − | 0.279520i | ||||
\(647\) | 15.5940 | − | 7.50969i | 0.613065 | − | 0.295236i | −0.101468 | − | 0.994839i | \(-0.532354\pi\) |
0.714532 | + | 0.699602i | \(0.246640\pi\) | |||||||
\(648\) | 62.6508 | − | 49.4530i | 2.46116 | − | 1.94270i | ||||
\(649\) | 3.45447 | − | 15.1350i | 0.135600 | − | 0.594101i | ||||
\(650\) | 16.7222 | + | 2.52046i | 0.655897 | + | 0.0988606i | ||||
\(651\) | −18.8655 | − | 5.91582i | −0.739399 | − | 0.231859i | ||||
\(652\) | −73.4939 | + | 11.0774i | −2.87824 | + | 0.433825i | ||||
\(653\) | 1.53345 | − | 20.4625i | 0.0600086 | − | 0.800759i | −0.883293 | − | 0.468822i | \(-0.844679\pi\) |
0.943301 | − | 0.331937i | \(-0.107702\pi\) | |||||||
\(654\) | 0.227880 | − | 0.377122i | 0.00891081 | − | 0.0147466i | ||||
\(655\) | 10.1900 | + | 17.6497i | 0.398158 | + | 0.689630i | ||||
\(656\) | −22.5633 | −0.880947 | ||||||||
\(657\) | 8.53819 | + | 3.01157i | 0.333107 | + | 0.117493i | ||||
\(658\) | 17.7520 | − | 47.3461i | 0.692046 | − | 1.84574i | ||||
\(659\) | −5.46742 | + | 5.07302i | −0.212980 | + | 0.197617i | −0.779448 | − | 0.626467i | \(-0.784500\pi\) |
0.566467 | + | 0.824084i | \(0.308310\pi\) | |||||||
\(660\) | 63.0534 | − | 28.8300i | 2.45435 | − | 1.12221i | ||||
\(661\) | 4.54051 | − | 0.684372i | 0.176605 | − | 0.0266190i | −0.0601441 | − | 0.998190i | \(-0.519156\pi\) |
0.236750 | + | 0.971571i | \(0.423918\pi\) | |||||||
\(662\) | −17.3306 | + | 2.61216i | −0.673571 | + | 0.101525i | ||||
\(663\) | −9.86147 | + | 4.50898i | −0.382988 | + | 0.175114i | ||||
\(664\) | −75.5214 | + | 70.0736i | −2.93080 | + | 2.71938i | ||||
\(665\) | −5.44863 | − | 9.11285i | −0.211289 | − | 0.353381i | ||||
\(666\) | −11.3512 | − | 60.8227i | −0.439850 | − | 2.35683i | ||||
\(667\) | −14.2344 | −0.551160 | ||||||||
\(668\) | 8.72042 | + | 15.1042i | 0.337403 | + | 0.584400i | ||||
\(669\) | −9.83150 | + | 16.2703i | −0.380108 | + | 0.629047i | ||||
\(670\) | −0.849534 | + | 11.3362i | −0.0328204 | + | 0.437957i | ||||
\(671\) | −20.9051 | + | 3.15094i | −0.807033 | + | 0.121641i | ||||
\(672\) | 42.3660 | − | 72.5955i | 1.63430 | − | 2.80043i | ||||
\(673\) | −37.2207 | − | 5.61011i | −1.43475 | − | 0.216254i | −0.614798 | − | 0.788685i | \(-0.710762\pi\) |
−0.819953 | + | 0.572431i | \(0.806001\pi\) | |||||||
\(674\) | −4.66083 | + | 20.4204i | −0.179528 | + | 0.786565i | ||||
\(675\) | −3.13217 | − | 6.26263i | −0.120557 | − | 0.241049i | ||||
\(676\) | −41.0288 | + | 19.7584i | −1.57803 | + | 0.759939i | ||||
\(677\) | 7.80722 | − | 19.8925i | 0.300056 | − | 0.764530i | −0.698735 | − | 0.715380i | \(-0.746254\pi\) |
0.998791 | − | 0.0491500i | \(-0.0156512\pi\) | |||||||
\(678\) | 39.3016 | − | 11.2695i | 1.50937 | − | 0.432804i | ||||
\(679\) | −22.8840 | + | 11.4543i | −0.878208 | + | 0.439577i | ||||
\(680\) | −1.70553 | + | 22.7588i | −0.0654042 | + | 0.872759i | ||||
\(681\) | −32.0993 | − | 30.9980i | −1.23005 | − | 1.18784i | ||||
\(682\) | −33.8282 | + | 31.3880i | −1.29535 | + | 1.20191i | ||||
\(683\) | −4.88510 | − | 2.35254i | −0.186923 | − | 0.0900175i | 0.338081 | − | 0.941117i | \(-0.390222\pi\) |
−0.525005 | + | 0.851099i | \(0.675936\pi\) | |||||||
\(684\) | −32.1835 | + | 8.53756i | −1.23057 | + | 0.326442i | ||||
\(685\) | 12.5556 | 0.479724 | ||||||||
\(686\) | 16.1117 | − | 47.3221i | 0.615149 | − | 1.80677i | ||||
\(687\) | 3.61350 | + | 17.4271i | 0.137864 | + | 0.664885i | ||||
\(688\) | −58.1986 | − | 148.288i | −2.21880 | − | 5.65341i | ||||
\(689\) | −43.1113 | + | 29.3928i | −1.64241 | + | 1.11978i | ||||
\(690\) | −56.5893 | + | 25.8744i | −2.15432 | + | 0.985023i | ||||
\(691\) | −3.82284 | − | 51.0123i | −0.145428 | − | 1.94060i | −0.302790 | − | 0.953057i | \(-0.597918\pi\) |
0.157362 | − | 0.987541i | \(-0.449701\pi\) | |||||||
\(692\) | −82.5620 | + | 39.7597i | −3.13853 | + | 1.51144i | ||||
\(693\) | −10.7668 | − | 29.5522i | −0.408997 | − | 1.12260i | ||||
\(694\) | 10.1035 | + | 4.86560i | 0.383524 | + | 0.184696i | ||||
\(695\) | 9.04566 | − | 23.0480i | 0.343121 | − | 0.874259i | ||||
\(696\) | 31.1328 | − | 4.05922i | 1.18009 | − | 0.153864i | ||||
\(697\) | −0.830426 | − | 2.11589i | −0.0314546 | − | 0.0801451i | ||||
\(698\) | −15.8809 | − | 14.7353i | −0.601101 | − | 0.557740i | ||||
\(699\) | −1.02303 | − | 18.6319i | −0.0386947 | − | 0.704723i | ||||
\(700\) | −14.0087 | − | 12.6054i | −0.529479 | − | 0.476439i | ||||
\(701\) | 10.0162 | + | 12.5599i | 0.378306 | + | 0.474380i | 0.934137 | − | 0.356915i | \(-0.116171\pi\) |
−0.555831 | + | 0.831295i | \(0.687600\pi\) | |||||||
\(702\) | 56.9528 | + | 31.7555i | 2.14955 | + | 1.19853i | ||||
\(703\) | −3.57026 | + | 15.6423i | −0.134655 | + | 0.589961i | ||||
\(704\) | −45.1250 | − | 78.1588i | −1.70071 | − | 2.94572i | ||||
\(705\) | 17.4957 | − | 15.5959i | 0.658924 | − | 0.587374i | ||||
\(706\) | 12.0958 | + | 11.2233i | 0.455233 | + | 0.422395i | ||||
\(707\) | 16.0573 | − | 0.245372i | 0.603896 | − | 0.00922817i | ||||
\(708\) | 3.39311 | − | 35.7051i | 0.127521 | − | 1.34188i | ||||
\(709\) | −15.3697 | + | 14.2610i | −0.577222 | + | 0.535584i | −0.913849 | − | 0.406054i | \(-0.866904\pi\) |
0.336627 | + | 0.941638i | \(0.390714\pi\) | |||||||
\(710\) | 3.81841 | + | 4.78813i | 0.143302 | + | 0.179695i | ||||
\(711\) | 32.8945 | + | 17.4904i | 1.23364 | + | 0.655941i | ||||
\(712\) | 22.1685 | + | 97.1266i | 0.830800 | + | 3.63997i | ||||
\(713\) | 22.0260 | − | 20.4371i | 0.824878 | − | 0.765375i | ||||
\(714\) | 16.4580 | + | 2.55926i | 0.615925 | + | 0.0957779i | ||||
\(715\) | 25.8103 | + | 23.9485i | 0.965250 | + | 0.895621i | ||||
\(716\) | 2.04370 | − | 3.53980i | 0.0763768 | − | 0.132288i | ||||
\(717\) | 0.00968007 | + | 0.0466848i | 0.000361509 | + | 0.00174348i | ||||
\(718\) | 20.4316 | − | 6.30232i | 0.762501 | − | 0.235200i | ||||
\(719\) | 33.4616 | − | 16.1143i | 1.24791 | − | 0.600960i | 0.310957 | − | 0.950424i | \(-0.399351\pi\) |
0.936950 | + | 0.349464i | \(0.113636\pi\) | |||||||
\(720\) | 64.9911 | − | 40.6109i | 2.42208 | − | 1.51348i | ||||
\(721\) | 21.9096 | + | 36.6439i | 0.815957 | + | 1.36469i | ||||
\(722\) | −38.9433 | − | 5.86976i | −1.44932 | − | 0.218450i | ||||
\(723\) | −14.2508 | + | 23.5840i | −0.529995 | + | 0.877097i | ||||
\(724\) | 35.7253 | + | 91.0266i | 1.32772 | + | 3.38298i | ||||
\(725\) | 0.205833 | − | 2.74666i | 0.00764446 | − | 0.102008i | ||||
\(726\) | −21.6697 | − | 3.70965i | −0.804239 | − | 0.137678i | ||||
\(727\) | −3.18248 | − | 42.4672i | −0.118032 | − | 1.57502i | −0.670769 | − | 0.741666i | \(-0.734036\pi\) |
0.552738 | − | 0.833355i | \(-0.313583\pi\) | |||||||
\(728\) | 108.107 | + | 14.6089i | 4.00672 | + | 0.541442i | ||||
\(729\) | −2.82217 | − | 26.8521i | −0.104525 | − | 0.994522i | ||||
\(730\) | 14.0262 | + | 6.75467i | 0.519134 | + | 0.250002i | ||||
\(731\) | 11.7639 | − | 10.9153i | 0.435102 | − | 0.403716i | ||||
\(732\) | −46.9510 | + | 13.4630i | −1.73536 | + | 0.497605i | ||||
\(733\) | −8.42971 | − | 21.4786i | −0.311359 | − | 0.793329i | −0.997810 | − | 0.0661525i | \(-0.978928\pi\) |
0.686451 | − | 0.727176i | \(-0.259168\pi\) | |||||||
\(734\) | −35.5349 | + | 61.5483i | −1.31162 | + | 2.27179i | ||||
\(735\) | 16.8175 | − | 15.9398i | 0.620323 | − | 0.587949i | ||||
\(736\) | 63.8690 | + | 110.624i | 2.35424 | + | 4.07766i | ||||
\(737\) | 5.44472 | − | 6.82746i | 0.200559 | − | 0.251493i | ||||
\(738\) | −7.30117 | + | 11.5557i | −0.268760 | + | 0.425369i | ||||
\(739\) | −0.632477 | − | 2.77106i | −0.0232661 | − | 0.101935i | 0.961962 | − | 0.273184i | \(-0.0880769\pi\) |
−0.985228 | + | 0.171249i | \(0.945220\pi\) | |||||||
\(740\) | −5.76804 | − | 76.9692i | −0.212037 | − | 2.82944i | ||||
\(741\) | −10.2770 | − | 13.4279i | −0.377536 | − | 0.493287i | ||||
\(742\) | 80.1372 | − | 1.22458i | 2.94193 | − | 0.0449558i | ||||
\(743\) | −28.6572 | + | 19.5382i | −1.05133 | + | 0.716786i | −0.960274 | − | 0.279059i | \(-0.909977\pi\) |
−0.0910584 | + | 0.995846i | \(0.529025\pi\) | |||||||
\(744\) | −42.3460 | + | 50.9801i | −1.55248 | + | 1.86902i | ||||
\(745\) | 33.7263 | + | 22.9942i | 1.23564 | + | 0.842442i | ||||
\(746\) | 26.3357 | − | 33.0239i | 0.964219 | − | 1.20909i | ||||
\(747\) | 6.39361 | + | 34.2586i | 0.233930 | + | 1.25346i | ||||
\(748\) | 17.5846 | − | 22.0504i | 0.642958 | − | 0.806243i | ||||
\(749\) | −10.1231 | + | 7.13082i | −0.369891 | + | 0.260555i | ||||
\(750\) | −19.6629 | − | 53.1966i | −0.717988 | − | 1.94247i | ||||
\(751\) | 1.33799 | − | 17.8542i | 0.0488239 | − | 0.651509i | −0.918084 | − | 0.396385i | \(-0.870265\pi\) |
0.966908 | − | 0.255124i | \(-0.0821164\pi\) | |||||||
\(752\) | −69.3779 | − | 64.3733i | −2.52995 | − | 2.34745i | ||||
\(753\) | −3.45846 | + | 3.08292i | −0.126033 | + | 0.112348i | ||||
\(754\) | 12.8249 | + | 22.2133i | 0.467054 | + | 0.808962i | ||||
\(755\) | −0.630502 | + | 2.76241i | −0.0229463 | + | 0.100534i | ||||
\(756\) | −33.4933 | − | 64.4861i | −1.21814 | − | 2.34534i | ||||
\(757\) | 5.83803 | + | 25.5781i | 0.212187 | + | 0.929652i | 0.963077 | + | 0.269225i | \(0.0867675\pi\) |
−0.750890 | + | 0.660427i | \(0.770375\pi\) | |||||||
\(758\) | 17.5548 | − | 16.2885i | 0.637620 | − | 0.591625i | ||||
\(759\) | 47.1137 | + | 8.06541i | 1.71012 | + | 0.292756i | ||||
\(760\) | −35.1923 | + | 5.30439i | −1.27656 | + | 0.192410i | ||||
\(761\) | 44.9175 | + | 13.8552i | 1.62826 | + | 0.502251i | 0.968455 | − | 0.249188i | \(-0.0801636\pi\) |
0.659803 | + | 0.751439i | \(0.270640\pi\) | |||||||
\(762\) | −5.05070 | + | 53.1476i | −0.182968 | + | 1.92534i | ||||
\(763\) | −0.185363 | − | 0.166794i | −0.00671058 | − | 0.00603835i | ||||
\(764\) | 7.86774 | − | 34.4708i | 0.284645 | − | 1.24711i | ||||
\(765\) | 6.20028 | + | 4.59995i | 0.224172 | + | 0.166312i | ||||
\(766\) | −7.98849 | −0.288636 | ||||||||
\(767\) | 17.4049 | − | 5.36871i | 0.628455 | − | 0.193853i | ||||
\(768\) | −22.4902 | − | 29.3856i | −0.811545 | − | 1.06036i | ||||
\(769\) | −17.5838 | + | 2.65033i | −0.634089 | + | 0.0955735i | −0.458218 | − | 0.888840i | \(-0.651512\pi\) |
−0.175871 | + | 0.984413i | \(0.556274\pi\) | |||||||
\(770\) | −12.8387 | − | 52.5366i | −0.462676 | − | 1.89329i | ||||
\(771\) | 46.1208 | + | 23.3551i | 1.66100 | + | 0.841114i | ||||
\(772\) | −19.9162 | + | 6.14334i | −0.716800 | + | 0.221104i | ||||
\(773\) | 8.56650 | − | 10.7421i | 0.308116 | − | 0.386365i | −0.603531 | − | 0.797339i | \(-0.706240\pi\) |
0.911647 | + | 0.410975i | \(0.134812\pi\) | |||||||
\(774\) | −94.7770 | − | 18.1778i | −3.40669 | − | 0.653387i | ||||
\(775\) | 3.62501 | + | 4.54562i | 0.130214 | + | 0.163283i | ||||
\(776\) | 6.41032 | + | 85.5397i | 0.230117 | + | 3.07070i | ||||
\(777\) | −35.0147 | − | 0.163427i | −1.25615 | − | 0.00586289i | ||||
\(778\) | −2.10876 | + | 28.1394i | −0.0756026 | + | 1.00885i | ||||
\(779\) | 2.92866 | − | 1.99673i | 0.104930 | − | 0.0715402i | ||||
\(780\) | 66.2830 | + | 47.1547i | 2.37331 | + | 1.68841i | ||||
\(781\) | −0.351568 | − | 4.69135i | −0.0125801 | − | 0.167870i | ||||
\(782\) | −15.7819 | + | 19.7899i | −0.564359 | + | 0.707684i | ||||
\(783\) | 4.46445 | − | 9.63667i | 0.159547 | − | 0.344386i | ||||
\(784\) | −70.5015 | − | 61.5158i | −2.51791 | − | 2.19699i | ||||
\(785\) | −4.21430 | − | 7.29939i | −0.150415 | − | 0.260526i | ||||
\(786\) | −2.73331 | − | 49.7801i | −0.0974941 | − | 1.77560i | ||||
\(787\) | 26.7581 | − | 18.2433i | 0.953822 | − | 0.650305i | 0.0169055 | − | 0.999857i | \(-0.494619\pi\) |
0.936917 | + | 0.349552i | \(0.113666\pi\) | |||||||
\(788\) | −88.3985 | − | 27.2673i | −3.14906 | − | 0.971358i | ||||
\(789\) | 10.8574 | + | 10.4849i | 0.386535 | + | 0.373273i | ||||
\(790\) | 52.9295 | + | 36.0867i | 1.88315 | + | 1.28391i | ||||
\(791\) | −2.08144 | − | 23.0441i | −0.0740074 | − | 0.819353i | ||||
\(792\) | −105.345 | − | 4.20489i | −3.74326 | − | 0.149414i | ||||
\(793\) | −15.4653 | − | 19.3929i | −0.549189 | − | 0.688661i | ||||
\(794\) | 37.0106 | + | 25.2334i | 1.31346 | + | 0.895499i | ||||
\(795\) | 33.1424 | + | 16.7830i | 1.17544 | + | 0.595231i | ||||
\(796\) | −21.2699 | − | 19.7356i | −0.753891 | − | 0.699509i | ||||
\(797\) | 4.45628 | + | 11.3544i | 0.157850 | + | 0.402194i | 0.987817 | − | 0.155617i | \(-0.0497365\pi\) |
−0.829968 | + | 0.557811i | \(0.811641\pi\) | |||||||
\(798\) | 1.82008 | + | 25.9094i | 0.0644300 | + | 0.917183i | ||||
\(799\) | 3.48326 | − | 8.87520i | 0.123229 | − | 0.313982i | ||||
\(800\) | −22.2695 | + | 10.7244i | −0.787344 | + | 0.379165i | ||||
\(801\) | 31.7814 | + | 11.2098i | 1.12294 | + | 0.396080i | ||||
\(802\) | −89.4188 | −3.15749 | ||||||||
\(803\) | −5.97946 | − | 10.3567i | −0.211010 | − | 0.365481i | ||||
\(804\) | 10.4341 | − | 17.2676i | 0.367983 | − | 0.608981i | ||||
\(805\) | 8.35945 | + | 34.2072i | 0.294632 | + | 1.20565i | ||||
\(806\) | −51.7376 | − | 15.9589i | −1.82238 | − | 0.562130i | ||||
\(807\) | 8.12243 | + | 5.77841i | 0.285923 | + | 0.203410i | ||||
\(808\) | 19.6664 | − | 50.1090i | 0.691860 | − | 1.76283i | ||||
\(809\) | −20.2912 | − | 25.4443i | −0.713400 | − | 0.894576i | 0.284544 | − | 0.958663i | \(-0.408158\pi\) |
−0.997944 | + | 0.0640873i | \(0.979586\pi\) | |||||||
\(810\) | 0.231621 | − | 46.4260i | 0.00813833 | − | 1.63124i | ||||
\(811\) | 7.06374 | + | 30.9482i | 0.248041 | + | 1.08674i | 0.933486 | + | 0.358615i | \(0.116751\pi\) |
−0.685444 | + | 0.728125i | \(0.740392\pi\) | |||||||
\(812\) | 1.70027 | − | 28.5327i | 0.0596678 | − | 1.00130i | ||||
\(813\) | 23.1704 | + | 42.0475i | 0.812623 | + | 1.47467i | ||||
\(814\) | −40.8634 | + | 70.7774i | −1.43226 | + | 2.48075i | ||||
\(815\) | −13.4367 | + | 23.2731i | −0.470667 | + | 0.815220i | ||||
\(816\) | 16.1228 | − | 26.6819i | 0.564412 | − | 0.934055i | ||||
\(817\) | 20.6767 | + | 14.0971i | 0.723387 | + | 0.493197i | ||||
\(818\) | 22.2872 | + | 27.9473i | 0.779254 | + | 0.977153i | ||||
\(819\) | 23.7113 | − | 28.2763i | 0.828541 | − | 0.988056i | ||||
\(820\) | −10.6316 | + | 13.3315i | −0.371270 | + | 0.465558i | ||||
\(821\) | 7.80783 | − | 2.40840i | 0.272495 | − | 0.0840536i | −0.155496 | − | 0.987836i | \(-0.549698\pi\) |
0.427991 | + | 0.903783i | \(0.359221\pi\) | |||||||
\(822\) | −27.4013 | − | 13.8757i | −0.955730 | − | 0.483972i | ||||
\(823\) | −0.449865 | + | 6.00303i | −0.0156813 | + | 0.209253i | 0.983859 | + | 0.178944i | \(0.0572681\pi\) |
−0.999541 | + | 0.0303087i | \(0.990351\pi\) | |||||||
\(824\) | 141.513 | − | 21.3296i | 4.92983 | − | 0.743052i | ||||
\(825\) | −2.23756 | + | 8.97436i | −0.0779020 | + | 0.312447i | ||||
\(826\) | −26.8574 | − | 7.83705i | −0.934487 | − | 0.272686i | ||||
\(827\) | −9.92360 | + | 4.77895i | −0.345077 | + | 0.166180i | −0.598392 | − | 0.801203i | \(-0.704193\pi\) |
0.253315 | + | 0.967384i | \(0.418479\pi\) | |||||||
\(828\) | 110.343 | + | 4.40442i | 3.83470 | + | 0.153064i | ||||
\(829\) | −7.07425 | − | 30.9943i | −0.245699 | − | 1.07648i | −0.935735 | − | 0.352703i | \(-0.885263\pi\) |
0.690036 | − | 0.723775i | \(-0.257594\pi\) | |||||||
\(830\) | 4.47819 | + | 59.7573i | 0.155440 | + | 2.07421i | ||||
\(831\) | −13.2315 | + | 8.63963i | −0.458997 | + | 0.299706i | ||||
\(832\) | 52.9439 | − | 91.7015i | 1.83550 | − | 3.17918i | ||||
\(833\) | 3.17394 | − | 8.87540i | 0.109971 | − | 0.307514i | ||||
\(834\) | −45.2126 | + | 40.3031i | −1.56558 | + | 1.39558i | ||||
\(835\) | 6.23567 | + | 0.939877i | 0.215794 | + | 0.0325258i | ||||
\(836\) | 39.6255 | + | 19.0826i | 1.37048 | + | 0.659986i | ||||
\(837\) | 6.92768 | + | 21.3213i | 0.239456 | + | 0.736973i | ||||
\(838\) | −1.45617 | − | 0.701256i | −0.0503026 | − | 0.0242245i | ||||
\(839\) | 24.1421 | + | 16.4598i | 0.833479 | + | 0.568256i | 0.903156 | − | 0.429314i | \(-0.141244\pi\) |
−0.0696770 | + | 0.997570i | \(0.522197\pi\) | |||||||
\(840\) | −28.0382 | − | 72.4324i | −0.967410 | − | 2.49916i | ||||
\(841\) | −20.5092 | + | 13.9829i | −0.707213 | + | 0.482170i | ||||
\(842\) | 91.7655 | − | 13.8314i | 3.16245 | − | 0.476662i | ||||
\(843\) | −54.4328 | + | 7.09716i | −1.87477 | + | 0.244439i | ||||
\(844\) | 20.3192 | + | 3.06262i | 0.699415 | + | 0.105420i | ||||
\(845\) | −3.66390 | + | 16.0526i | −0.126042 | + | 0.552226i | ||||
\(846\) | −55.4182 | + | 14.7012i | −1.90532 | + | 0.505438i | ||||
\(847\) | −4.36798 | + | 11.6498i | −0.150086 | + | 0.400291i | ||||
\(848\) | 54.8053 | − | 139.642i | 1.88202 | − | 4.79531i | ||||
\(849\) | −3.02981 | − | 3.95875i | −0.103983 | − | 0.135864i | ||||
\(850\) | −3.59041 | − | 3.33142i | −0.123150 | − | 0.114267i | ||||
\(851\) | 26.6066 | − | 46.0840i | 0.912063 | − | 1.57974i | ||||
\(852\) | −2.20673 | − | 10.6425i | −0.0756012 | − | 0.364607i | ||||
\(853\) | −25.5754 | + | 7.88898i | −0.875686 | + | 0.270113i | −0.699836 | − | 0.714304i | \(-0.746744\pi\) |
−0.175850 | + | 0.984417i | \(0.556267\pi\) | |||||||
\(854\) | 3.42742 | + | 37.9458i | 0.117284 | + | 1.29848i | ||||
\(855\) | −4.84186 | + | 11.0226i | −0.165588 | + | 0.376964i | ||||
\(856\) | 9.23597 | + | 40.4654i | 0.315679 | + | 1.38308i | ||||
\(857\) | −4.92458 | + | 12.5476i | −0.168220 | + | 0.428618i | −0.989979 | − | 0.141218i | \(-0.954898\pi\) |
0.821758 | + | 0.569836i | \(0.192993\pi\) | |||||||
\(858\) | −29.8619 | − | 80.7892i | −1.01947 | − | 2.75810i | ||||
\(859\) | −41.8059 | − | 12.8954i | −1.42640 | − | 0.439986i | −0.517027 | − | 0.855969i | \(-0.672961\pi\) |
−0.909372 | + | 0.415983i | \(0.863437\pi\) | |||||||
\(860\) | −115.039 | − | 35.4847i | −3.92278 | − | 1.21002i | ||||
\(861\) | 5.64592 | + | 5.28790i | 0.192413 | + | 0.180211i | ||||
\(862\) | 38.7643 | − | 11.9572i | 1.32032 | − | 0.407264i | ||||
\(863\) | 13.6688 | 0.465293 | 0.232646 | − | 0.972561i | \(-0.425262\pi\) | ||||
0.232646 | + | 0.972561i | \(0.425262\pi\) | |||||||
\(864\) | −94.9240 | + | 8.54314i | −3.22938 | + | 0.290644i | ||||
\(865\) | −7.37284 | + | 32.3025i | −0.250684 | + | 1.09832i | ||||
\(866\) | −62.3682 | − | 42.5219i | −2.11936 | − | 1.44495i | ||||
\(867\) | −25.9271 | − | 4.43848i | −0.880532 | − | 0.150739i | ||||
\(868\) | 38.3348 | + | 46.5918i | 1.30117 | + | 1.58143i | ||||
\(869\) | −17.9784 | − | 45.8082i | −0.609876 | − | 1.55394i | ||||
\(870\) | 9.44469 | − | 15.6302i | 0.320205 | − | 0.529913i | ||||
\(871\) | 10.1313 | + | 1.52705i | 0.343287 | + | 0.0517422i | ||||
\(872\) | −0.753073 | + | 0.362661i | −0.0255023 | + | 0.0122812i | ||||
\(873\) | 25.6205 | + | 13.6227i | 0.867123 | + | 0.461059i | ||||
\(874\) | −35.5632 | − | 17.1263i | −1.20294 | − | 0.579306i | ||||
\(875\) | −31.6605 | + | 5.26799i | −1.07032 | + | 0.178090i | ||||
\(876\) | −16.7921 | − | 21.9405i | −0.567352 | − | 0.741300i | ||||
\(877\) | 39.1012 | − | 26.6587i | 1.32035 | − | 0.900202i | 0.321446 | − | 0.946928i | \(-0.395831\pi\) |
0.998908 | + | 0.0467261i | \(0.0148788\pi\) | |||||||
\(878\) | 79.8578 | + | 24.6329i | 2.69507 | + | 0.831319i | ||||
\(879\) | 2.78460 | − | 11.1684i | 0.0939223 | − | 0.376701i | ||||
\(880\) | −100.096 | − | 15.0871i | −3.37425 | − | 0.508587i | ||||
\(881\) | −23.7653 | −0.800674 | −0.400337 | − | 0.916368i | \(-0.631107\pi\) | ||||
−0.400337 | + | 0.916368i | \(0.631107\pi\) | |||||||
\(882\) | −54.3183 | + | 16.2013i | −1.82899 | + | 0.545525i | ||||
\(883\) | −47.4600 | −1.59715 | −0.798577 | − | 0.601892i | \(-0.794414\pi\) | ||||
−0.798577 | + | 0.601892i | \(0.794414\pi\) | |||||||
\(884\) | 32.7208 | + | 4.93187i | 1.10052 | + | 0.165877i | ||||
\(885\) | −9.32847 | − | 9.00841i | −0.313573 | − | 0.302814i | ||||
\(886\) | 17.3578 | + | 5.35416i | 0.583146 | + | 0.179877i | ||||
\(887\) | −1.02550 | + | 0.699175i | −0.0344330 | + | 0.0234760i | −0.580414 | − | 0.814321i | \(-0.697109\pi\) |
0.545981 | + | 0.837797i | \(0.316157\pi\) | |||||||
\(888\) | −45.0509 | + | 108.380i | −1.51181 | + | 3.63699i | ||||
\(889\) | 29.0032 | + | 8.46322i | 0.972737 | + | 0.283847i | ||||
\(890\) | 52.2092 | + | 25.1426i | 1.75006 | + | 0.842783i | ||||
\(891\) | −20.2369 | + | 29.3662i | −0.677961 | + | 0.983805i | ||||
\(892\) | 52.2671 | − | 25.1705i | 1.75003 | − | 0.842772i | ||||
\(893\) | 14.7018 | + | 2.21594i | 0.491977 | + | 0.0741536i | ||||
\(894\) | −48.1923 | − | 87.4549i | −1.61179 | − | 2.92493i | ||||
\(895\) | −0.539933 | − | 1.37573i | −0.0180480 | − | 0.0459855i | ||||
\(896\) | −58.6529 | + | 29.3581i | −1.95946 | + | 0.980785i | ||||
\(897\) | 19.4434 | + | 52.6028i | 0.649197 | + | 1.75636i | ||||
\(898\) | 4.15467 | + | 2.83261i | 0.138643 | + | 0.0945254i | ||||
\(899\) | −1.96229 | + | 8.59736i | −0.0654461 | + | 0.286738i | ||||
\(900\) | −2.44546 | + | 21.2280i | −0.0815154 | + | 0.707600i | ||||
\(901\) | 15.1121 | 0.503457 | ||||||||
\(902\) | 17.2529 | − | 5.32182i | 0.574459 | − | 0.177197i | ||||
\(903\) | −20.1897 | + | 50.7449i | −0.671872 | + | 1.68868i | ||||
\(904\) | −74.1123 | − | 22.8606i | −2.46494 | − | 0.760333i | ||||
\(905\) | 33.7859 | + | 10.4216i | 1.12308 | + | 0.346424i | ||||
\(906\) | 4.42887 | − | 5.33189i | 0.147139 | − | 0.177140i | ||||
\(907\) | −7.47250 | + | 19.0396i | −0.248120 | + | 0.632200i | −0.999621 | − | 0.0275323i | \(-0.991235\pi\) |
0.751501 | + | 0.659732i | \(0.229330\pi\) | |||||||
\(908\) | 30.3018 | + | 132.761i | 1.00560 | + | 4.40582i | ||||
\(909\) | −10.7765 | − | 14.6781i | −0.357434 | − | 0.486843i | ||||
\(910\) | 45.8499 | − | 43.8651i | 1.51991 | − | 1.45411i | ||||
\(911\) | 44.8887 | − | 13.8463i | 1.48723 | − | 0.458750i | 0.558499 | − | 0.829505i | \(-0.311377\pi\) |
0.928731 | + | 0.370755i | \(0.120901\pi\) | |||||||
\(912\) | 46.1596 | + | 15.2531i | 1.52850 | + | 0.505080i | ||||
\(913\) | 23.0164 | − | 39.8656i | 0.761733 | − | 1.31936i | ||||
\(914\) | 11.0511 | + | 10.2540i | 0.365539 | + | 0.339171i | ||||
\(915\) | −6.77863 | + | 16.3075i | −0.224095 | + | 0.539110i | ||||
\(916\) | 19.8427 | − | 50.5583i | 0.655621 | − | 1.67049i | ||||
\(917\) | −27.9599 | − | 3.77831i | −0.923316 | − | 0.124771i | ||||
\(918\) | −8.44788 | − | 16.8911i | −0.278822 | − | 0.557491i | ||||
\(919\) | 0.235134 | − | 1.03019i | 0.00775634 | − | 0.0339827i | −0.970902 | − | 0.239479i | \(-0.923024\pi\) |
0.978658 | + | 0.205496i | \(0.0658807\pi\) | |||||||
\(920\) | 116.718 | + | 17.5924i | 3.84808 | + | 0.580005i | ||||
\(921\) | 18.9669 | − | 45.6291i | 0.624980 | − | 1.50353i | ||||
\(922\) | 11.5094 | − | 1.73476i | 0.379042 | − | 0.0571313i | ||||
\(923\) | 4.56055 | − | 3.10933i | 0.150112 | − | 0.102345i | ||||
\(924\) | −21.7946 | + | 93.4751i | −0.716989 | + | 3.07511i | ||||
\(925\) | 8.50756 | + | 5.80036i | 0.279727 | + | 0.190715i | ||||
\(926\) | −63.2299 | − | 30.4499i | −2.07786 | − | 1.00065i | ||||
\(927\) | 19.4697 | − | 44.3231i | 0.639470 | − | 1.45576i | ||||
\(928\) | −33.7771 | − | 16.2662i | −1.10879 | − | 0.533964i | ||||
\(929\) | 11.6369 | + | 1.75398i | 0.381795 | + | 0.0575464i | 0.337136 | − | 0.941456i | \(-0.390542\pi\) |
0.0446591 | + | 0.999002i | \(0.485780\pi\) | |||||||
\(930\) | 7.82659 | + | 37.7459i | 0.256644 | + | 1.23774i | ||||
\(931\) | 14.5948 | + | 1.74561i | 0.478324 | + | 0.0572101i | ||||
\(932\) | −28.4719 | + | 49.3148i | −0.932628 | + | 1.61536i | ||||
\(933\) | 23.4601 | + | 11.8799i | 0.768049 | + | 0.388932i | ||||
\(934\) | −4.64753 | − | 62.0170i | −0.152072 | − | 2.02926i | ||||
\(935\) | −2.26918 | − | 9.94192i | −0.0742100 | − | 0.325135i | ||||
\(936\) | −57.5264 | − | 109.506i | −1.88031 | − | 3.57930i | ||||
\(937\) | 35.7586 | − | 17.2205i | 1.16818 | − | 0.562568i | 0.253737 | − | 0.967273i | \(-0.418340\pi\) |
0.914447 | + | 0.404706i | \(0.132626\pi\) | |||||||
\(938\) | −11.6988 | − | 10.5269i | −0.381980 | − | 0.343715i | ||||
\(939\) | 13.6506 | + | 13.1823i | 0.445471 | + | 0.430187i | ||||
\(940\) | −70.7252 | + | 10.6601i | −2.30680 | + | 0.347695i | ||||
\(941\) | −3.39901 | + | 45.3566i | −0.110804 | + | 1.47858i | 0.613824 | + | 0.789443i | \(0.289631\pi\) |
−0.724628 | + | 0.689140i | \(0.757988\pi\) | |||||||
\(942\) | 1.13042 | + | 20.5876i | 0.0368310 | + | 0.670780i | ||||
\(943\) | −11.2336 | + | 3.46510i | −0.365815 | + | 0.112839i | ||||
\(944\) | −32.6495 | + | 40.9411i | −1.06265 | + | 1.33252i | ||||
\(945\) | −25.7800 | − | 5.06935i | −0.838624 | − | 0.164906i | ||||
\(946\) | 79.4768 | + | 99.6608i | 2.58401 | + | 3.24025i | ||||
\(947\) | −1.95845 | − | 1.33525i | −0.0636412 | − | 0.0433898i | 0.531082 | − | 0.847321i | \(-0.321786\pi\) |
−0.594723 | + | 0.803931i | \(0.702738\pi\) | |||||||
\(948\) | −54.8702 | − | 99.5733i | −1.78210 | − | 3.23399i | ||||
\(949\) | 7.01552 | − | 12.1512i | 0.227733 | − | 0.394446i | ||||
\(950\) | 3.81892 | − | 6.61456i | 0.123902 | − | 0.214605i | ||||
\(951\) | −16.0443 | + | 26.5520i | −0.520273 | + | 0.861008i | ||||
\(952\) | −23.4867 | − | 21.1339i | −0.761208 | − | 0.684954i | ||||
\(953\) | 5.06804 | + | 22.2045i | 0.164170 | + | 0.719275i | 0.988256 | + | 0.152810i | \(0.0488322\pi\) |
−0.824086 | + | 0.566465i | \(0.808311\pi\) | |||||||
\(954\) | −53.7824 | − | 73.2544i | −1.74127 | − | 2.37170i | ||||
\(955\) | −7.97081 | − | 9.99507i | −0.257929 | − | 0.323433i | ||||
\(956\) | 0.0531558 | − | 0.135439i | 0.00171918 | − | 0.00438041i | ||||
\(957\) | −12.7582 | + | 5.83343i | −0.412412 | + | 0.188568i | ||||
\(958\) | −78.6420 | − | 24.2578i | −2.54081 | − | 0.783735i | ||||
\(959\) | −10.6285 | + | 13.7537i | −0.343211 | + | 0.444129i | ||||
\(960\) | −75.3750 | − | 1.50372i | −2.43272 | − | 0.0485324i | ||||
\(961\) | 6.19273 | + | 10.7261i | 0.199766 | + | 0.346004i | ||||
\(962\) | −95.8875 | −3.09154 | ||||||||
\(963\) | 13.2409 | + | 4.67031i | 0.426683 | + | 0.150499i | ||||
\(964\) | 75.7617 | − | 36.4849i | 2.44012 | − | 1.17510i | ||||
\(965\) | −2.75318 | + | 7.01500i | −0.0886281 | + | 0.225821i | ||||
\(966\) | 19.5603 | − | 83.8923i | 0.629341 | − | 2.69919i | ||||
\(967\) | 0.887117 | + | 2.26034i | 0.0285278 | + | 0.0726876i | 0.944428 | − | 0.328719i | \(-0.106617\pi\) |
−0.915900 | + | 0.401406i | \(0.868522\pi\) | |||||||
\(968\) | 30.5716 | + | 28.3663i | 0.982609 | + | 0.911728i | ||||
\(969\) | 0.268501 | + | 4.89004i | 0.00862549 | + | 0.157091i | ||||
\(970\) | 41.2251 | + | 28.1068i | 1.32366 | + | 0.902454i | ||||
\(971\) | 5.01025 | + | 6.28266i | 0.160787 | + | 0.201620i | 0.855698 | − | 0.517475i | \(-0.173128\pi\) |
−0.694912 | + | 0.719095i | \(0.744557\pi\) | |||||||
\(972\) | −37.5896 | + | 73.3207i | −1.20569 | + | 2.35176i | ||||
\(973\) | 17.5900 | + | 29.4192i | 0.563908 | + | 0.943138i | ||||
\(974\) | −51.3707 | − | 35.0239i | −1.64602 | − | 1.12224i | ||||
\(975\) | −10.4313 | + | 2.99113i | −0.334070 | + | 0.0957927i | ||||
\(976\) | 68.1446 | + | 21.0198i | 2.18125 | + | 0.672828i | ||||
\(977\) | 43.3941 | − | 29.5856i | 1.38830 | − | 0.946528i | 0.388617 | − | 0.921399i | \(-0.372953\pi\) |
0.999684 | − | 0.0251286i | \(-0.00799953\pi\) | |||||||
\(978\) | 55.0444 | − | 35.9416i | 1.76013 | − | 1.14929i | ||||
\(979\) | −22.2571 | − | 38.5504i | −0.711340 | − | 1.23208i | ||||
\(980\) | −69.5663 | + | 12.6704i | −2.22221 | + | 0.404741i | ||||
\(981\) | −0.0323583 | + | 0.280888i | −0.00103312 | + | 0.00896807i | ||||
\(982\) | −6.73432 | + | 8.44457i | −0.214901 | + | 0.269477i | ||||
\(983\) | 0.871104 | + | 11.6241i | 0.0277839 | + | 0.370750i | 0.993714 | + | 0.111948i | \(0.0357089\pi\) |
−0.965930 | + | 0.258803i | \(0.916672\pi\) | |||||||
\(984\) | 23.5814 | − | 10.7822i | 0.751746 | − | 0.343722i | ||||
\(985\) | −27.6363 | + | 18.8421i | −0.880566 | + | 0.600360i | ||||
\(986\) | 0.555159 | − | 7.40809i | 0.0176799 | − | 0.235922i | ||||
\(987\) | 2.27373 | + | 32.3673i | 0.0723735 | + | 1.03026i | ||||
\(988\) | 3.85619 | + | 51.4573i | 0.122682 | + | 1.63707i | ||||
\(989\) | −51.7483 | − | 64.8903i | −1.64550 | − | 2.06339i | ||||
\(990\) | −40.1167 | + | 46.3819i | −1.27499 | + | 1.47411i | ||||
\(991\) | −22.1752 | + | 27.8068i | −0.704417 | + | 0.883311i | −0.997345 | − | 0.0728237i | \(-0.976799\pi\) |
0.292928 | + | 0.956135i | \(0.405370\pi\) | |||||||
\(992\) | 75.6198 | − | 23.3256i | 2.40093 | − | 0.740590i | ||||
\(993\) | 9.41682 | − | 6.14878i | 0.298834 | − | 0.195126i | ||||
\(994\) | −8.47736 | + | 0.129543i | −0.268886 | + | 0.00410886i | ||||
\(995\) | −10.3740 | + | 1.56363i | −0.328878 | + | 0.0495704i | ||||
\(996\) | 40.8212 | − | 98.2044i | 1.29347 | − | 3.11173i | ||||
\(997\) | 3.93586 | − | 1.21405i | 0.124650 | − | 0.0384494i | −0.231803 | − | 0.972763i | \(-0.574462\pi\) |
0.356452 | + | 0.934313i | \(0.383986\pi\) | |||||||
\(998\) | −28.6040 | −0.905445 | ||||||||
\(999\) | 22.8539 | + | 32.4663i | 0.723065 | + | 1.02719i |
(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 | 441.2.ba.a.337.53 | yes | 648 | |
9.7 | even | 3 | inner | 441.2.ba.a.43.2 | ✓ | 648 | |
49.8 | even | 7 | inner | 441.2.ba.a.400.2 | yes | 648 | |
441.106 | even | 21 | inner | 441.2.ba.a.106.53 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.ba.a.43.2 | ✓ | 648 | 9.7 | even | 3 | inner | |
441.2.ba.a.106.53 | yes | 648 | 441.106 | even | 21 | inner | |
441.2.ba.a.337.53 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.ba.a.400.2 | yes | 648 | 49.8 | even | 7 | inner |