Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 151.4 | ||
Character | \(\chi\) | \(=\) | 483.151 |
Dual form | 483.2.y.a.16.4 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.461078 | + | 1.33220i | −0.326032 | + | 0.942007i | 0.656241 | + | 0.754551i | \(0.272145\pi\) |
−0.982273 | + | 0.187456i | \(0.939976\pi\) | |||||||
\(3\) | 0.888835 | − | 0.458227i | 0.513169 | − | 0.264557i | ||||
\(4\) | 0.00994599 | + | 0.00782161i | 0.00497299 | + | 0.00391080i | ||||
\(5\) | 3.91624 | − | 0.373956i | 1.75140 | − | 0.167238i | 0.830493 | − | 0.557029i | \(-0.188059\pi\) |
0.920903 | + | 0.389791i | \(0.127453\pi\) | |||||||
\(6\) | 0.200626 | + | 1.39538i | 0.0819052 | + | 0.569663i | ||||
\(7\) | −1.00683 | + | 2.44669i | −0.380545 | + | 0.924763i | ||||
\(8\) | −2.38689 | + | 1.53396i | −0.843894 | + | 0.542337i | ||||
\(9\) | 0.580057 | − | 0.814576i | 0.193352 | − | 0.271525i | ||||
\(10\) | −1.30751 | + | 5.38963i | −0.413471 | + | 1.70435i | ||||
\(11\) | 0.718534 | + | 2.07607i | 0.216646 | + | 0.625958i | 0.999990 | + | 0.00436999i | \(0.00139102\pi\) |
−0.783344 | + | 0.621588i | \(0.786488\pi\) | |||||||
\(12\) | 0.0124244 | + | 0.00239461i | 0.00358662 | + | 0.000691264i | ||||
\(13\) | −2.77780 | + | 0.815635i | −0.770422 | + | 0.226216i | −0.643242 | − | 0.765663i | \(-0.722411\pi\) |
−0.127181 | + | 0.991880i | \(0.540593\pi\) | |||||||
\(14\) | −2.79525 | − | 2.46941i | −0.747063 | − | 0.659978i | ||||
\(15\) | 3.30954 | − | 2.12691i | 0.854519 | − | 0.549166i | ||||
\(16\) | −0.937032 | − | 3.86250i | −0.234258 | − | 0.965624i | ||||
\(17\) | −5.91972 | − | 2.36990i | −1.43574 | − | 0.574784i | −0.482204 | − | 0.876059i | \(-0.660164\pi\) |
−0.953537 | + | 0.301274i | \(0.902588\pi\) | |||||||
\(18\) | 0.817725 | + | 1.14833i | 0.192740 | + | 0.270665i | ||||
\(19\) | 5.31114 | − | 2.12626i | 1.21846 | − | 0.487797i | 0.328789 | − | 0.944403i | \(-0.393359\pi\) |
0.889669 | + | 0.456606i | \(0.150935\pi\) | |||||||
\(20\) | 0.0418758 | + | 0.0269120i | 0.00936372 | + | 0.00601770i | ||||
\(21\) | 0.226236 | + | 2.63606i | 0.0493687 | + | 0.575236i | ||||
\(22\) | −3.09704 | −0.660290 | ||||||||
\(23\) | 3.80601 | + | 2.91792i | 0.793609 | + | 0.608428i | ||||
\(24\) | −1.41865 | + | 2.45718i | −0.289581 | + | 0.501569i | ||||
\(25\) | 10.2875 | − | 1.98275i | 2.05749 | − | 0.396549i | ||||
\(26\) | 0.194195 | − | 4.07665i | 0.0380847 | − | 0.799497i | ||||
\(27\) | 0.142315 | − | 0.989821i | 0.0273885 | − | 0.190491i | ||||
\(28\) | −0.0291509 | + | 0.0164598i | −0.00550901 | + | 0.00311060i | ||||
\(29\) | 0.814101 | + | 5.66220i | 0.151175 | + | 1.05144i | 0.914255 | + | 0.405140i | \(0.132777\pi\) |
−0.763080 | + | 0.646304i | \(0.776314\pi\) | |||||||
\(30\) | 1.30751 | + | 5.38963i | 0.238718 | + | 0.984008i | ||||
\(31\) | −0.517648 | − | 10.8668i | −0.0929723 | − | 1.95173i | −0.259617 | − | 0.965712i | \(-0.583596\pi\) |
0.166644 | − | 0.986017i | \(-0.446707\pi\) | |||||||
\(32\) | −0.0712514 | − | 0.00680368i | −0.0125956 | − | 0.00120273i | ||||
\(33\) | 1.58997 | + | 1.51603i | 0.276778 | + | 0.263907i | ||||
\(34\) | 5.88663 | − | 6.79353i | 1.00955 | − | 1.16508i | ||||
\(35\) | −3.02802 | + | 9.95834i | −0.511829 | + | 1.68327i | ||||
\(36\) | 0.0121405 | − | 0.00356478i | 0.00202342 | − | 0.000594130i | ||||
\(37\) | 0.577496 | − | 0.810980i | 0.0949398 | − | 0.133324i | −0.764374 | − | 0.644773i | \(-0.776952\pi\) |
0.859314 | + | 0.511449i | \(0.170891\pi\) | |||||||
\(38\) | 0.383748 | + | 8.05586i | 0.0622522 | + | 1.30683i | ||||
\(39\) | −2.09526 | + | 1.99783i | −0.335510 | + | 0.319908i | ||||
\(40\) | −8.77401 | + | 6.89996i | −1.38729 | + | 1.09098i | ||||
\(41\) | 3.70836 | − | 8.12017i | 0.579148 | − | 1.26816i | −0.362634 | − | 0.931932i | \(-0.618122\pi\) |
0.941782 | − | 0.336225i | \(-0.109150\pi\) | |||||||
\(42\) | −3.61607 | − | 0.914040i | −0.557972 | − | 0.141039i | ||||
\(43\) | −2.57104 | − | 1.65231i | −0.392080 | − | 0.251975i | 0.329716 | − | 0.944080i | \(-0.393047\pi\) |
−0.721796 | + | 0.692105i | \(0.756683\pi\) | |||||||
\(44\) | −0.00909166 | + | 0.0262686i | −0.00137062 | + | 0.00396015i | ||||
\(45\) | 1.96703 | − | 3.40699i | 0.293227 | − | 0.507884i | ||||
\(46\) | −5.64212 | + | 3.72498i | −0.831885 | + | 0.549218i | ||||
\(47\) | −1.20253 | − | 2.08284i | −0.175407 | − | 0.303813i | 0.764895 | − | 0.644155i | \(-0.222791\pi\) |
−0.940302 | + | 0.340341i | \(0.889457\pi\) | |||||||
\(48\) | −2.60277 | − | 3.00375i | −0.375677 | − | 0.433554i | ||||
\(49\) | −4.97260 | − | 4.92679i | −0.710372 | − | 0.703827i | ||||
\(50\) | −2.10192 | + | 14.6191i | −0.297256 | + | 2.06746i | ||||
\(51\) | −6.34760 | + | 0.606123i | −0.888842 | + | 0.0848741i | ||||
\(52\) | −0.0340075 | − | 0.0136146i | −0.00471599 | − | 0.00188800i | ||||
\(53\) | −7.89807 | + | 7.53080i | −1.08488 | + | 1.03443i | −0.0856099 | + | 0.996329i | \(0.527284\pi\) |
−0.999274 | + | 0.0381057i | \(0.987868\pi\) | |||||||
\(54\) | 1.25302 | + | 0.645977i | 0.170515 | + | 0.0879063i | ||||
\(55\) | 3.59031 | + | 7.86168i | 0.484117 | + | 1.06007i | ||||
\(56\) | −1.34995 | − | 7.38442i | −0.180394 | − | 0.986785i | ||||
\(57\) | 3.74642 | − | 4.32360i | 0.496225 | − | 0.572675i | ||||
\(58\) | −7.91854 | − | 1.52617i | −1.03976 | − | 0.200396i | ||||
\(59\) | −1.16402 | + | 4.79817i | −0.151543 | + | 0.624668i | 0.844481 | + | 0.535585i | \(0.179909\pi\) |
−0.996024 | + | 0.0890833i | \(0.971606\pi\) | |||||||
\(60\) | 0.0495525 | + | 0.00473169i | 0.00639720 | + | 0.000610858i | ||||
\(61\) | 1.87099 | + | 0.964564i | 0.239556 | + | 0.123500i | 0.573825 | − | 0.818978i | \(-0.305459\pi\) |
−0.334269 | + | 0.942478i | \(0.608489\pi\) | |||||||
\(62\) | 14.7154 | + | 4.32082i | 1.86885 | + | 0.548745i | ||||
\(63\) | 1.40900 | + | 2.23936i | 0.177517 | + | 0.282132i | ||||
\(64\) | 3.34408 | − | 7.32251i | 0.418010 | − | 0.915314i | ||||
\(65\) | −10.5735 | + | 4.23300i | −1.31148 | + | 0.525039i | ||||
\(66\) | −2.75276 | + | 1.41914i | −0.338841 | + | 0.174685i | ||||
\(67\) | 13.2621 | − | 2.55606i | 1.62022 | − | 0.312272i | 0.703163 | − | 0.711028i | \(-0.251770\pi\) |
0.917057 | + | 0.398756i | \(0.130558\pi\) | |||||||
\(68\) | −0.0403410 | − | 0.0698727i | −0.00489206 | − | 0.00847330i | ||||
\(69\) | 4.71999 | + | 0.849534i | 0.568220 | + | 0.102272i | ||||
\(70\) | −11.8703 | − | 8.62550i | −1.41878 | − | 1.03094i | ||||
\(71\) | 7.11935 | + | 8.21616i | 0.844911 | + | 0.975079i | 0.999918 | − | 0.0128342i | \(-0.00408537\pi\) |
−0.155007 | + | 0.987913i | \(0.549540\pi\) | |||||||
\(72\) | −0.135004 | + | 2.83409i | −0.0159104 | + | 0.334001i | ||||
\(73\) | −2.17355 | − | 1.70930i | −0.254395 | − | 0.200058i | 0.482815 | − | 0.875723i | \(-0.339614\pi\) |
−0.737209 | + | 0.675664i | \(0.763857\pi\) | |||||||
\(74\) | 0.814115 | + | 1.14327i | 0.0946390 | + | 0.132902i | ||||
\(75\) | 8.23531 | − | 6.47632i | 0.950932 | − | 0.747821i | ||||
\(76\) | 0.0694553 | + | 0.0203939i | 0.00796706 | + | 0.00233934i | ||||
\(77\) | −5.80294 | − | 0.332209i | −0.661306 | − | 0.0378587i | ||||
\(78\) | −1.69542 | − | 3.71246i | −0.191969 | − | 0.420353i | ||||
\(79\) | −3.91184 | − | 3.72993i | −0.440117 | − | 0.419650i | 0.437347 | − | 0.899293i | \(-0.355918\pi\) |
−0.877464 | + | 0.479642i | \(0.840766\pi\) | |||||||
\(80\) | −5.11405 | − | 14.7761i | −0.571768 | − | 1.65201i | ||||
\(81\) | −0.327068 | − | 0.945001i | −0.0363409 | − | 0.105000i | ||||
\(82\) | 9.10783 | + | 8.68430i | 1.00579 | + | 0.959021i | ||||
\(83\) | −2.79661 | − | 6.12372i | −0.306968 | − | 0.672166i | 0.691785 | − | 0.722104i | \(-0.256825\pi\) |
−0.998752 | + | 0.0499384i | \(0.984097\pi\) | |||||||
\(84\) | −0.0183681 | + | 0.0279878i | −0.00200412 | + | 0.00305371i | ||||
\(85\) | −24.0693 | − | 7.06738i | −2.61068 | − | 0.766565i | ||||
\(86\) | 3.38666 | − | 2.66330i | 0.365193 | − | 0.287191i | ||||
\(87\) | 3.31817 | + | 4.65972i | 0.355745 | + | 0.499574i | ||||
\(88\) | −4.89967 | − | 3.85315i | −0.522307 | − | 0.410747i | ||||
\(89\) | −0.0143355 | + | 0.300940i | −0.00151956 | + | 0.0318996i | −0.999500 | − | 0.0316261i | \(-0.989931\pi\) |
0.997980 | + | 0.0635256i | \(0.0202345\pi\) | |||||||
\(90\) | 3.63184 | + | 4.19136i | 0.382829 | + | 0.441808i | ||||
\(91\) | 0.801153 | − | 7.61762i | 0.0839837 | − | 0.798543i | ||||
\(92\) | 0.0150317 | + | 0.0587907i | 0.00156717 | + | 0.00612936i | ||||
\(93\) | −5.43954 | − | 9.42157i | −0.564054 | − | 0.976971i | ||||
\(94\) | 3.32922 | − | 0.641654i | 0.343382 | − | 0.0661815i | ||||
\(95\) | 20.0046 | − | 10.3131i | 2.05243 | − | 1.05810i | ||||
\(96\) | −0.0664484 | + | 0.0266019i | −0.00678186 | + | 0.00271505i | ||||
\(97\) | −0.168661 | + | 0.369316i | −0.0171249 | + | 0.0374984i | −0.918001 | − | 0.396578i | \(-0.870198\pi\) |
0.900876 | + | 0.434076i | \(0.142925\pi\) | |||||||
\(98\) | 8.85622 | − | 4.35286i | 0.894613 | − | 0.439705i | ||||
\(99\) | 2.10791 | + | 0.618937i | 0.211853 | + | 0.0622055i | ||||
\(100\) | 0.117827 | + | 0.0607441i | 0.0117827 | + | 0.00607441i | ||||
\(101\) | −10.4681 | − | 0.999587i | −1.04162 | − | 0.0994626i | −0.439801 | − | 0.898095i | \(-0.644951\pi\) |
−0.601819 | + | 0.798633i | \(0.705557\pi\) | |||||||
\(102\) | 2.11927 | − | 8.73574i | 0.209839 | − | 0.864967i | ||||
\(103\) | −1.72274 | − | 0.332030i | −0.169746 | − | 0.0327159i | 0.103670 | − | 0.994612i | \(-0.466941\pi\) |
−0.273416 | + | 0.961896i | \(0.588154\pi\) | |||||||
\(104\) | 5.37915 | − | 6.20787i | 0.527469 | − | 0.608732i | ||||
\(105\) | 1.87176 | + | 10.2388i | 0.182666 | + | 0.999209i | ||||
\(106\) | −6.39089 | − | 13.9941i | −0.620738 | − | 1.35923i | ||||
\(107\) | 5.70039 | + | 2.93876i | 0.551077 | + | 0.284100i | 0.711191 | − | 0.702998i | \(-0.248156\pi\) |
−0.160114 | + | 0.987099i | \(0.551186\pi\) | |||||||
\(108\) | 0.00915746 | − | 0.00873162i | 0.000881177 | − | 0.000840200i | ||||
\(109\) | −0.691467 | − | 0.276822i | −0.0662305 | − | 0.0265147i | 0.338311 | − | 0.941034i | \(-0.390145\pi\) |
−0.404541 | + | 0.914520i | \(0.632569\pi\) | |||||||
\(110\) | −12.1287 | + | 1.15815i | −1.15643 | + | 0.110426i | ||||
\(111\) | 0.141687 | − | 0.985452i | 0.0134483 | − | 0.0935349i | ||||
\(112\) | 10.3938 | + | 1.59624i | 0.982119 | + | 0.150830i | ||||
\(113\) | −7.06220 | − | 8.15021i | −0.664356 | − | 0.766708i | 0.319126 | − | 0.947712i | \(-0.396611\pi\) |
−0.983482 | + | 0.181004i | \(0.942065\pi\) | |||||||
\(114\) | 4.03250 | + | 6.98449i | 0.377678 | + | 0.654158i | ||||
\(115\) | 15.9964 | + | 10.0040i | 1.49168 | + | 0.932878i | ||||
\(116\) | −0.0361905 | + | 0.0626837i | −0.00336020 | + | 0.00582004i | ||||
\(117\) | −0.946884 | + | 2.73584i | −0.0875395 | + | 0.252929i | ||||
\(118\) | −5.85541 | − | 3.76304i | −0.539034 | − | 0.346416i | ||||
\(119\) | 11.7585 | − | 12.0976i | 1.07790 | − | 1.10899i | ||||
\(120\) | −4.63691 | + | 10.1534i | −0.423290 | + | 0.926875i | ||||
\(121\) | 4.85282 | − | 3.81630i | 0.441165 | − | 0.346936i | ||||
\(122\) | −2.14767 | + | 2.04780i | −0.194441 | + | 0.185399i | ||||
\(123\) | −0.424758 | − | 8.91676i | −0.0382991 | − | 0.803997i | ||||
\(124\) | 0.0798471 | − | 0.112130i | 0.00717048 | − | 0.0100695i | ||||
\(125\) | 20.6732 | − | 6.07021i | 1.84907 | − | 0.542936i | ||||
\(126\) | −3.63293 | + | 0.844548i | −0.323647 | + | 0.0752383i | ||||
\(127\) | 7.66497 | − | 8.84584i | 0.680156 | − | 0.784942i | −0.305774 | − | 0.952104i | \(-0.598915\pi\) |
0.985929 | + | 0.167163i | \(0.0534605\pi\) | |||||||
\(128\) | 8.10955 | + | 7.73244i | 0.716790 | + | 0.683458i | ||||
\(129\) | −3.04237 | − | 0.290511i | −0.267865 | − | 0.0255780i | ||||
\(130\) | −0.763973 | − | 16.0378i | −0.0670049 | − | 1.40661i | ||||
\(131\) | 2.63485 | + | 10.8610i | 0.230208 | + | 0.948931i | 0.963220 | + | 0.268715i | \(0.0865989\pi\) |
−0.733012 | + | 0.680216i | \(0.761886\pi\) | |||||||
\(132\) | 0.00395599 | + | 0.0275145i | 0.000344325 | + | 0.00239483i | ||||
\(133\) | −0.145094 | + | 15.1355i | −0.0125813 | + | 1.31241i | ||||
\(134\) | −2.70968 | + | 18.8463i | −0.234081 | + | 1.62807i | ||||
\(135\) | 0.187190 | − | 3.92960i | 0.0161107 | − | 0.338206i | ||||
\(136\) | 17.7650 | − | 3.42393i | 1.52334 | − | 0.293600i | ||||
\(137\) | 2.34912 | − | 4.06880i | 0.200699 | − | 0.347621i | −0.748055 | − | 0.663637i | \(-0.769012\pi\) |
0.948754 | + | 0.316016i | \(0.102345\pi\) | |||||||
\(138\) | −3.30803 | + | 5.89626i | −0.281598 | + | 0.501923i | ||||
\(139\) | −0.769654 | −0.0652812 | −0.0326406 | − | 0.999467i | \(-0.510392\pi\) | ||||
−0.0326406 | + | 0.999467i | \(0.510392\pi\) | |||||||
\(140\) | −0.108007 | + | 0.0753615i | −0.00912825 | + | 0.00636921i | ||||
\(141\) | −2.02326 | − | 1.30027i | −0.170389 | − | 0.109503i | ||||
\(142\) | −14.2281 | + | 5.69609i | −1.19400 | + | 0.478005i | ||||
\(143\) | −3.68926 | − | 5.18084i | −0.308511 | − | 0.433243i | ||||
\(144\) | −3.68983 | − | 1.47718i | −0.307486 | − | 0.123099i | ||||
\(145\) | 5.30563 | + | 21.8701i | 0.440608 | + | 1.81621i | ||||
\(146\) | 3.27930 | − | 2.10748i | 0.271397 | − | 0.174416i | ||||
\(147\) | −6.67741 | − | 2.10053i | −0.550743 | − | 0.173248i | ||||
\(148\) | 0.0120869 | − | 0.00354904i | 0.000993540 | − | 0.000291730i | ||||
\(149\) | −6.91964 | − | 1.33365i | −0.566879 | − | 0.109257i | −0.102244 | − | 0.994759i | \(-0.532602\pi\) |
−0.464635 | + | 0.885502i | \(0.653814\pi\) | |||||||
\(150\) | 4.83062 | + | 13.9572i | 0.394419 | + | 1.13960i | ||||
\(151\) | 0.0887518 | − | 0.365840i | 0.00722252 | − | 0.0297716i | −0.968086 | − | 0.250617i | \(-0.919366\pi\) |
0.975309 | + | 0.220845i | \(0.0708816\pi\) | |||||||
\(152\) | −9.41551 | + | 13.2222i | −0.763699 | + | 1.07246i | ||||
\(153\) | −5.36423 | + | 3.44738i | −0.433673 | + | 0.278704i | ||||
\(154\) | 3.11818 | − | 7.57749i | 0.251270 | − | 0.610612i | ||||
\(155\) | −6.09092 | − | 42.3633i | −0.489235 | − | 3.40270i | ||||
\(156\) | −0.0364656 | + | 0.00348205i | −0.00291959 | + | 0.000278787i | ||||
\(157\) | −2.89497 | − | 2.27663i | −0.231044 | − | 0.181695i | 0.495925 | − | 0.868365i | \(-0.334829\pi\) |
−0.726969 | + | 0.686671i | \(0.759071\pi\) | |||||||
\(158\) | 6.77268 | − | 3.49156i | 0.538806 | − | 0.277774i | ||||
\(159\) | −3.56928 | + | 10.3127i | −0.283062 | + | 0.817854i | ||||
\(160\) | −0.281582 | −0.0222610 | ||||||||
\(161\) | −10.9712 | + | 6.37430i | −0.864655 | + | 0.502366i | ||||
\(162\) | 1.40973 | 0.110759 | ||||||||
\(163\) | −5.04927 | + | 14.5889i | −0.395489 | + | 1.14269i | 0.554977 | + | 0.831866i | \(0.312727\pi\) |
−0.950467 | + | 0.310826i | \(0.899394\pi\) | |||||||
\(164\) | 0.100396 | − | 0.0517577i | 0.00783961 | − | 0.00404160i | ||||
\(165\) | 6.79363 | + | 5.34257i | 0.528883 | + | 0.415918i | ||||
\(166\) | 9.44747 | − | 0.902124i | 0.733266 | − | 0.0700184i | ||||
\(167\) | −1.58310 | − | 11.0107i | −0.122504 | − | 0.852036i | −0.954703 | − | 0.297559i | \(-0.903827\pi\) |
0.832199 | − | 0.554477i | \(-0.187082\pi\) | |||||||
\(168\) | −4.58362 | − | 5.94495i | −0.353634 | − | 0.458663i | ||||
\(169\) | −3.88540 | + | 2.49699i | −0.298877 | + | 0.192076i | ||||
\(170\) | 20.5130 | − | 28.8064i | 1.57327 | − | 2.20935i | ||||
\(171\) | 1.34876 | − | 5.55968i | 0.103142 | − | 0.425159i | ||||
\(172\) | −0.0126478 | − | 0.0365435i | −0.000964389 | − | 0.00278642i | ||||
\(173\) | 6.18827 | + | 1.19269i | 0.470486 | + | 0.0906787i | 0.418983 | − | 0.907994i | \(-0.362387\pi\) |
0.0515028 | + | 0.998673i | \(0.483599\pi\) | |||||||
\(174\) | −7.73761 | + | 2.27197i | −0.586587 | + | 0.172237i | ||||
\(175\) | −5.50652 | + | 27.1665i | −0.416254 | + | 2.05360i | ||||
\(176\) | 7.34552 | − | 4.72068i | 0.553689 | − | 0.355835i | ||||
\(177\) | 1.16402 | + | 4.79817i | 0.0874933 | + | 0.360652i | ||||
\(178\) | −0.394302 | − | 0.157855i | −0.0295542 | − | 0.0118317i | ||||
\(179\) | −11.5144 | − | 16.1697i | −0.860625 | − | 1.20858i | −0.976544 | − | 0.215319i | \(-0.930921\pi\) |
0.115919 | − | 0.993259i | \(-0.463019\pi\) | |||||||
\(180\) | 0.0462122 | − | 0.0185006i | 0.00344445 | − | 0.00137895i | ||||
\(181\) | −9.62523 | − | 6.18576i | −0.715438 | − | 0.459784i | 0.131609 | − | 0.991302i | \(-0.457986\pi\) |
−0.847047 | + | 0.531518i | \(0.821622\pi\) | |||||||
\(182\) | 9.77879 | + | 4.57961i | 0.724852 | + | 0.339464i | ||||
\(183\) | 2.10499 | 0.155606 | ||||||||
\(184\) | −13.5605 | − | 1.12648i | −0.999695 | − | 0.0830449i | ||||
\(185\) | 1.95834 | − | 3.39195i | 0.143980 | − | 0.249381i | ||||
\(186\) | 15.0595 | − | 2.90247i | 1.10421 | − | 0.212820i | ||||
\(187\) | 0.666549 | − | 13.9926i | 0.0487429 | − | 1.02324i | ||||
\(188\) | 0.00433083 | − | 0.0301216i | 0.000315858 | − | 0.00219684i | ||||
\(189\) | 2.27850 | + | 1.34478i | 0.165737 | + | 0.0978183i | ||||
\(190\) | 4.51539 | + | 31.4052i | 0.327581 | + | 2.27837i | ||||
\(191\) | −0.882085 | − | 3.63600i | −0.0638254 | − | 0.263092i | 0.930955 | − | 0.365135i | \(-0.118977\pi\) |
−0.994780 | + | 0.102043i | \(0.967462\pi\) | |||||||
\(192\) | −0.383033 | − | 8.04085i | −0.0276430 | − | 0.580299i | ||||
\(193\) | −17.7795 | − | 1.69774i | −1.27980 | − | 0.122206i | −0.567084 | − | 0.823660i | \(-0.691929\pi\) |
−0.712715 | + | 0.701454i | \(0.752535\pi\) | |||||||
\(194\) | −0.414237 | − | 0.394974i | −0.0297405 | − | 0.0283575i | ||||
\(195\) | −7.45844 | + | 8.60750i | −0.534110 | + | 0.616396i | ||||
\(196\) | −0.0109220 | − | 0.0878955i | −0.000780143 | − | 0.00627825i | ||||
\(197\) | −18.0784 | + | 5.30830i | −1.28803 | + | 0.378201i | −0.852857 | − | 0.522144i | \(-0.825132\pi\) |
−0.435177 | + | 0.900345i | \(0.643314\pi\) | |||||||
\(198\) | −1.79646 | + | 2.52277i | −0.127669 | + | 0.179286i | ||||
\(199\) | 1.16011 | + | 24.3536i | 0.0822378 | + | 1.72638i | 0.543748 | + | 0.839248i | \(0.317005\pi\) |
−0.461510 | + | 0.887135i | \(0.652692\pi\) | |||||||
\(200\) | −21.5136 | + | 20.5132i | −1.52124 | + | 1.45050i | ||||
\(201\) | 10.6165 | − | 8.34895i | 0.748834 | − | 0.588889i | ||||
\(202\) | 6.15829 | − | 13.4848i | 0.433295 | − | 0.948785i | ||||
\(203\) | −14.6733 | − | 3.70900i | −1.02986 | − | 0.260321i | ||||
\(204\) | −0.0678740 | − | 0.0436200i | −0.00475213 | − | 0.00305401i | ||||
\(205\) | 11.4862 | − | 33.1873i | 0.802233 | − | 2.31790i | ||||
\(206\) | 1.23665 | − | 2.14194i | 0.0861613 | − | 0.149236i | ||||
\(207\) | 4.58457 | − | 1.40773i | 0.318650 | − | 0.0978439i | ||||
\(208\) | 5.75327 | + | 9.96496i | 0.398918 | + | 0.690946i | ||||
\(209\) | 8.23049 | + | 9.49849i | 0.569315 | + | 0.657025i | ||||
\(210\) | −14.5032 | − | 2.22735i | −1.00082 | − | 0.153702i | ||||
\(211\) | 0.674298 | − | 4.68984i | 0.0464206 | − | 0.322862i | −0.953358 | − | 0.301840i | \(-0.902399\pi\) |
0.999779 | − | 0.0210217i | \(-0.00669191\pi\) | |||||||
\(212\) | −0.137457 | + | 0.0131256i | −0.00944059 | + | 0.000901467i | ||||
\(213\) | 10.0928 | + | 4.04054i | 0.691547 | + | 0.276854i | ||||
\(214\) | −6.54333 | + | 6.23906i | −0.447293 | + | 0.426493i | ||||
\(215\) | −10.6867 | − | 5.50939i | −0.728828 | − | 0.375737i | ||||
\(216\) | 1.17866 | + | 2.58090i | 0.0801975 | + | 0.175608i | ||||
\(217\) | 27.1088 | + | 9.67442i | 1.84027 | + | 0.656743i | ||||
\(218\) | 0.687602 | − | 0.793535i | 0.0465703 | − | 0.0537450i | ||||
\(219\) | −2.71517 | − | 0.523307i | −0.183475 | − | 0.0353618i | ||||
\(220\) | −0.0257818 | + | 0.106274i | −0.00173821 | + | 0.00716501i | ||||
\(221\) | 18.3767 | + | 1.75477i | 1.23615 | + | 0.118038i | ||||
\(222\) | 1.24749 | + | 0.643125i | 0.0837260 | + | 0.0431637i | ||||
\(223\) | −11.7589 | − | 3.45273i | −0.787435 | − | 0.231212i | −0.136796 | − | 0.990599i | \(-0.543681\pi\) |
−0.650639 | + | 0.759387i | \(0.725499\pi\) | |||||||
\(224\) | 0.0883843 | − | 0.167480i | 0.00590543 | − | 0.0111902i | ||||
\(225\) | 4.35222 | − | 9.53002i | 0.290148 | − | 0.635335i | ||||
\(226\) | 14.1139 | − | 5.65037i | 0.938845 | − | 0.375857i | ||||
\(227\) | 10.0252 | − | 5.16834i | 0.665395 | − | 0.343035i | −0.0922183 | − | 0.995739i | \(-0.529396\pi\) |
0.757613 | + | 0.652704i | \(0.226365\pi\) | |||||||
\(228\) | 0.0710793 | − | 0.0136994i | 0.00470734 | − | 0.000907266i | ||||
\(229\) | 4.06454 | + | 7.04000i | 0.268593 | + | 0.465216i | 0.968499 | − | 0.249019i | \(-0.0801081\pi\) |
−0.699906 | + | 0.714235i | \(0.746775\pi\) | |||||||
\(230\) | −20.7029 | + | 16.6978i | −1.36511 | + | 1.10102i | ||||
\(231\) | −5.31008 | + | 2.36378i | −0.349378 | + | 0.155525i | ||||
\(232\) | −10.6288 | − | 12.2663i | −0.697813 | − | 0.805319i | ||||
\(233\) | −1.00327 | + | 21.0612i | −0.0657264 | + | 1.37977i | 0.689492 | + | 0.724294i | \(0.257834\pi\) |
−0.755218 | + | 0.655474i | \(0.772469\pi\) | |||||||
\(234\) | −3.20810 | − | 2.52288i | −0.209720 | − | 0.164926i | ||||
\(235\) | −5.48828 | − | 7.70721i | −0.358016 | − | 0.502763i | ||||
\(236\) | −0.0491068 | + | 0.0386180i | −0.00319658 | + | 0.00251382i | ||||
\(237\) | −5.18614 | − | 1.52279i | −0.336876 | − | 0.0989157i | ||||
\(238\) | 10.6949 | + | 21.2427i | 0.693245 | + | 1.37696i | ||||
\(239\) | 10.6931 | + | 23.4146i | 0.691680 | + | 1.51457i | 0.849776 | + | 0.527144i | \(0.176737\pi\) |
−0.158097 | + | 0.987424i | \(0.550536\pi\) | |||||||
\(240\) | −11.3163 | − | 10.7901i | −0.730466 | − | 0.696498i | ||||
\(241\) | −1.86244 | − | 5.38117i | −0.119970 | − | 0.346632i | 0.868986 | − | 0.494836i | \(-0.164772\pi\) |
−0.988957 | + | 0.148204i | \(0.952651\pi\) | |||||||
\(242\) | 2.84654 | + | 8.22453i | 0.182982 | + | 0.528693i | ||||
\(243\) | −0.723734 | − | 0.690079i | −0.0464276 | − | 0.0442686i | ||||
\(244\) | 0.0110644 | + | 0.0242277i | 0.000708327 | + | 0.00155102i | ||||
\(245\) | −21.3163 | − | 17.4350i | −1.36185 | − | 1.11388i | ||||
\(246\) | 12.0747 | + | 3.54546i | 0.769857 | + | 0.226051i | ||||
\(247\) | −13.0190 | + | 10.2383i | −0.828380 | + | 0.651445i | ||||
\(248\) | 17.9048 | + | 25.1437i | 1.13695 | + | 1.59663i | ||||
\(249\) | −5.29178 | − | 4.16150i | −0.335353 | − | 0.263724i | ||||
\(250\) | −1.44526 | + | 30.3397i | −0.0914061 | + | 1.91885i | ||||
\(251\) | −1.15641 | − | 1.33456i | −0.0729917 | − | 0.0842369i | 0.718079 | − | 0.695961i | \(-0.245022\pi\) |
−0.791071 | + | 0.611725i | \(0.790476\pi\) | |||||||
\(252\) | −0.00350149 | + | 0.0332933i | −0.000220573 | + | 0.00209728i | ||||
\(253\) | −3.32305 | + | 9.99817i | −0.208918 | + | 0.628580i | ||||
\(254\) | 8.25027 | + | 14.2899i | 0.517668 | + | 0.896627i | ||||
\(255\) | −24.6321 | + | 4.74744i | −1.54252 | + | 0.297297i | ||||
\(256\) | 0.269905 | − | 0.139146i | 0.0168691 | − | 0.00869661i | ||||
\(257\) | 17.9083 | − | 7.16942i | 1.11709 | − | 0.447216i | 0.261675 | − | 0.965156i | \(-0.415725\pi\) |
0.855417 | + | 0.517940i | \(0.173301\pi\) | |||||||
\(258\) | 1.78979 | − | 3.91909i | 0.111427 | − | 0.243992i | ||||
\(259\) | 1.40278 | + | 2.22947i | 0.0871645 | + | 0.138533i | ||||
\(260\) | −0.138273 | − | 0.0406006i | −0.00857532 | − | 0.00251794i | ||||
\(261\) | 5.08452 | + | 2.62125i | 0.314724 | + | 0.162251i | ||||
\(262\) | −15.6839 | − | 1.49763i | −0.968954 | − | 0.0925239i | ||||
\(263\) | 2.36835 | − | 9.76249i | 0.146039 | − | 0.601981i | −0.851006 | − | 0.525157i | \(-0.824007\pi\) |
0.997045 | − | 0.0768244i | \(-0.0244781\pi\) | |||||||
\(264\) | −6.12062 | − | 1.17965i | −0.376698 | − | 0.0726026i | ||||
\(265\) | −28.1146 | + | 32.4459i | −1.72706 | + | 1.99314i | ||||
\(266\) | −20.0966 | − | 7.17194i | −1.23220 | − | 0.439740i | ||||
\(267\) | 0.125157 | + | 0.274055i | 0.00765946 | + | 0.0167719i | ||||
\(268\) | 0.151897 | + | 0.0783083i | 0.00927858 | + | 0.00478344i | ||||
\(269\) | −8.37820 | + | 7.98860i | −0.510828 | + | 0.487074i | −0.901091 | − | 0.433630i | \(-0.857233\pi\) |
0.390263 | + | 0.920703i | \(0.372384\pi\) | |||||||
\(270\) | 5.14870 | + | 2.06123i | 0.313340 | + | 0.125442i | ||||
\(271\) | −24.0618 | + | 2.29762i | −1.46165 | + | 0.139570i | −0.795366 | − | 0.606129i | \(-0.792721\pi\) |
−0.666282 | + | 0.745700i | \(0.732115\pi\) | |||||||
\(272\) | −3.60676 | + | 25.0856i | −0.218692 | + | 1.52104i | ||||
\(273\) | −2.77850 | − | 7.13792i | −0.168163 | − | 0.432006i | ||||
\(274\) | 4.33732 | + | 5.00554i | 0.262027 | + | 0.302396i | ||||
\(275\) | 11.5082 | + | 19.9328i | 0.693971 | + | 1.20199i | ||||
\(276\) | 0.0403002 | + | 0.0453674i | 0.00242579 | + | 0.00273079i | ||||
\(277\) | −1.32406 | + | 2.29333i | −0.0795548 | + | 0.137793i | −0.903058 | − | 0.429519i | \(-0.858683\pi\) |
0.823503 | + | 0.567312i | \(0.192017\pi\) | |||||||
\(278\) | 0.354871 | − | 1.02533i | 0.0212837 | − | 0.0614953i | ||||
\(279\) | −9.15207 | − | 5.88168i | −0.547920 | − | 0.352127i | ||||
\(280\) | −8.04816 | − | 28.4144i | −0.480970 | − | 1.69808i | ||||
\(281\) | 1.64119 | − | 3.59371i | 0.0979052 | − | 0.214383i | −0.854342 | − | 0.519712i | \(-0.826039\pi\) |
0.952247 | + | 0.305329i | \(0.0987666\pi\) | |||||||
\(282\) | 2.66510 | − | 2.09586i | 0.158705 | − | 0.124807i | ||||
\(283\) | 15.8963 | − | 15.1571i | 0.944935 | − | 0.900994i | −0.0502766 | − | 0.998735i | \(-0.516010\pi\) |
0.995212 | + | 0.0977414i | \(0.0311618\pi\) | |||||||
\(284\) | 0.00654529 | + | 0.137403i | 0.000388392 | + | 0.00815334i | ||||
\(285\) | 13.0550 | − | 18.3332i | 0.773314 | − | 1.08597i | ||||
\(286\) | 8.60294 | − | 2.52605i | 0.508703 | − | 0.149369i | ||||
\(287\) | 16.1339 | + | 17.2488i | 0.952352 | + | 1.01816i | ||||
\(288\) | −0.0468720 | + | 0.0540932i | −0.00276196 | + | 0.00318747i | ||||
\(289\) | 17.1231 | + | 16.3269i | 1.00724 | + | 0.960405i | ||||
\(290\) | −31.5816 | − | 3.01568i | −1.85454 | − | 0.177087i | ||||
\(291\) | 0.0193186 | + | 0.405547i | 0.00113247 | + | 0.0237736i | ||||
\(292\) | −0.00824863 | − | 0.0340013i | −0.000482715 | − | 0.00198978i | ||||
\(293\) | 2.74411 | + | 19.0857i | 0.160312 | + | 1.11500i | 0.898045 | + | 0.439904i | \(0.144988\pi\) |
−0.737732 | + | 0.675093i | \(0.764103\pi\) | |||||||
\(294\) | 5.87713 | − | 7.92713i | 0.342761 | − | 0.462320i | ||||
\(295\) | −2.76429 | + | 19.2261i | −0.160943 | + | 1.11939i | ||||
\(296\) | −0.134408 | + | 2.82158i | −0.00781233 | + | 0.164001i | ||||
\(297\) | 2.15719 | − | 0.415765i | 0.125173 | − | 0.0241251i | ||||
\(298\) | 4.96719 | − | 8.60342i | 0.287741 | − | 0.498383i | ||||
\(299\) | −12.9523 | − | 5.00107i | −0.749051 | − | 0.289219i | ||||
\(300\) | 0.132564 | 0.00765356 | ||||||||
\(301\) | 6.63129 | − | 4.62696i | 0.382221 | − | 0.266694i | ||||
\(302\) | 0.446450 | + | 0.286916i | 0.0256903 | + | 0.0165102i | ||||
\(303\) | −9.76250 | + | 3.90831i | −0.560841 | + | 0.224527i | ||||
\(304\) | −13.1894 | − | 18.5219i | −0.756462 | − | 1.06230i | ||||
\(305\) | 7.68797 | + | 3.07780i | 0.440212 | + | 0.176234i | ||||
\(306\) | −2.11927 | − | 8.73574i | −0.121150 | − | 0.499389i | ||||
\(307\) | 16.7917 | − | 10.7914i | 0.958354 | − | 0.615896i | 0.0348117 | − | 0.999394i | \(-0.488917\pi\) |
0.923542 | + | 0.383497i | \(0.125280\pi\) | |||||||
\(308\) | −0.0551175 | − | 0.0486925i | −0.00314061 | − | 0.00277451i | ||||
\(309\) | −1.68337 | + | 0.494283i | −0.0957638 | + | 0.0281188i | ||||
\(310\) | 59.2447 | + | 11.4185i | 3.36487 | + | 0.648526i | ||||
\(311\) | 7.16484 | + | 20.7014i | 0.406281 | + | 1.17387i | 0.943771 | + | 0.330601i | \(0.107251\pi\) |
−0.537490 | + | 0.843270i | \(0.680627\pi\) | |||||||
\(312\) | 1.93657 | − | 7.98264i | 0.109637 | − | 0.451928i | ||||
\(313\) | 12.4428 | − | 17.4735i | 0.703309 | − | 0.987660i | −0.296162 | − | 0.955138i | \(-0.595707\pi\) |
0.999471 | − | 0.0325220i | \(-0.0103539\pi\) | |||||||
\(314\) | 4.36773 | − | 2.80697i | 0.246485 | − | 0.158406i | ||||
\(315\) | 6.35540 | + | 8.24296i | 0.358086 | + | 0.464438i | ||||
\(316\) | −0.00973304 | − | 0.0676948i | −0.000547526 | − | 0.00380813i | ||||
\(317\) | −25.7758 | + | 2.46129i | −1.44772 | + | 0.138240i | −0.789112 | − | 0.614250i | \(-0.789459\pi\) |
−0.658604 | + | 0.752490i | \(0.728853\pi\) | |||||||
\(318\) | −12.0929 | − | 9.50997i | −0.678137 | − | 0.533293i | ||||
\(319\) | −11.1702 | + | 5.75861i | −0.625408 | + | 0.322420i | ||||
\(320\) | 10.3579 | − | 29.9273i | 0.579026 | − | 1.67298i | ||||
\(321\) | 6.41332 | 0.357957 | ||||||||
\(322\) | −3.43324 | − | 17.5549i | −0.191327 | − | 0.978298i | ||||
\(323\) | −36.4794 | −2.02977 | ||||||||
\(324\) | 0.00413841 | − | 0.0119572i | 0.000229912 | − | 0.000664287i | ||||
\(325\) | −26.9593 | + | 13.8985i | −1.49543 | + | 0.770949i | ||||
\(326\) | −17.1072 | − | 13.4533i | −0.947481 | − | 0.745108i | ||||
\(327\) | −0.741448 | + | 0.0707997i | −0.0410021 | + | 0.00391523i | ||||
\(328\) | 3.60458 | + | 25.0704i | 0.199030 | + | 1.38428i | ||||
\(329\) | 6.30680 | − | 0.845157i | 0.347705 | − | 0.0465950i | ||||
\(330\) | −10.2498 | + | 6.58712i | −0.564231 | + | 0.362609i | ||||
\(331\) | −13.5819 | + | 19.0732i | −0.746531 | + | 1.04836i | 0.250250 | + | 0.968181i | \(0.419487\pi\) |
−0.996781 | + | 0.0801745i | \(0.974452\pi\) | |||||||
\(332\) | 0.0200823 | − | 0.0827804i | 0.00110216 | − | 0.00454316i | ||||
\(333\) | −0.325624 | − | 0.940829i | −0.0178441 | − | 0.0515571i | ||||
\(334\) | 15.3984 | + | 2.96780i | 0.842564 | + | 0.162391i | ||||
\(335\) | 50.9816 | − | 14.9696i | 2.78542 | − | 0.817874i | ||||
\(336\) | 9.96979 | − | 3.34391i | 0.543897 | − | 0.182425i | ||||
\(337\) | −3.57558 | + | 2.29789i | −0.194774 | + | 0.125174i | −0.634393 | − | 0.773011i | \(-0.718750\pi\) |
0.439619 | + | 0.898185i | \(0.355114\pi\) | |||||||
\(338\) | −1.53502 | − | 6.32743i | −0.0834940 | − | 0.344167i | ||||
\(339\) | −10.0118 | − | 4.00811i | −0.543765 | − | 0.217691i | ||||
\(340\) | −0.184114 | − | 0.258552i | −0.00998500 | − | 0.0140220i | ||||
\(341\) | 22.1882 | − | 8.88282i | 1.20156 | − | 0.481031i | ||||
\(342\) | 6.78471 | + | 4.36027i | 0.366875 | + | 0.235776i | ||||
\(343\) | 17.0609 | − | 7.20600i | 0.921201 | − | 0.389087i | ||||
\(344\) | 8.67138 | 0.467529 | ||||||||
\(345\) | 18.8023 | + | 1.56191i | 1.01228 | + | 0.0840906i | ||||
\(346\) | −4.44218 | + | 7.69408i | −0.238813 | + | 0.413636i | ||||
\(347\) | −10.1554 | + | 1.95728i | −0.545168 | + | 0.105072i | −0.454397 | − | 0.890799i | \(-0.650145\pi\) |
−0.0907709 | + | 0.995872i | \(0.528933\pi\) | |||||||
\(348\) | −0.00344402 | + | 0.0722989i | −0.000184619 | + | 0.00387563i | ||||
\(349\) | −2.13444 | + | 14.8453i | −0.114254 | + | 0.794652i | 0.849448 | + | 0.527672i | \(0.176935\pi\) |
−0.963702 | + | 0.266980i | \(0.913974\pi\) | |||||||
\(350\) | −33.6523 | − | 19.8617i | −1.79879 | − | 1.06165i | ||||
\(351\) | 0.412011 | + | 2.86560i | 0.0219915 | + | 0.152954i | ||||
\(352\) | −0.0370717 | − | 0.152811i | −0.00197593 | − | 0.00814488i | ||||
\(353\) | 1.55279 | + | 32.5972i | 0.0826469 | + | 1.73497i | 0.536505 | + | 0.843897i | \(0.319744\pi\) |
−0.453858 | + | 0.891074i | \(0.649953\pi\) | |||||||
\(354\) | −6.92882 | − | 0.661622i | −0.368263 | − | 0.0351648i | ||||
\(355\) | 30.9536 | + | 29.5142i | 1.64284 | + | 1.56645i | ||||
\(356\) | −0.00249641 | + | 0.00288102i | −0.000132310 | + | 0.000152694i | ||||
\(357\) | 4.90794 | − | 16.1409i | 0.259756 | − | 0.854266i | ||||
\(358\) | 26.8502 | − | 7.88394i | 1.41908 | − | 0.416679i | ||||
\(359\) | 11.7105 | − | 16.4452i | 0.618059 | − | 0.867942i | −0.380320 | − | 0.924855i | \(-0.624186\pi\) |
0.998379 | + | 0.0569124i | \(0.0181256\pi\) | |||||||
\(360\) | 0.531114 | + | 11.1495i | 0.0279922 | + | 0.587628i | ||||
\(361\) | 9.93626 | − | 9.47420i | 0.522961 | − | 0.498642i | ||||
\(362\) | 12.6786 | − | 9.97060i | 0.666375 | − | 0.524043i | ||||
\(363\) | 2.56463 | − | 5.61575i | 0.134608 | − | 0.294750i | ||||
\(364\) | 0.0675503 | − | 0.0694984i | 0.00354060 | − | 0.00364271i | ||||
\(365\) | −9.15135 | − | 5.88122i | −0.479004 | − | 0.307837i | ||||
\(366\) | −0.970567 | + | 2.80427i | −0.0507324 | + | 0.146582i | ||||
\(367\) | 15.6909 | − | 27.1774i | 0.819057 | − | 1.41865i | −0.0873213 | − | 0.996180i | \(-0.527831\pi\) |
0.906378 | − | 0.422468i | \(-0.138836\pi\) | |||||||
\(368\) | 7.70410 | − | 17.4349i | 0.401604 | − | 0.908857i | ||||
\(369\) | −4.46343 | − | 7.73090i | −0.232357 | − | 0.402454i | ||||
\(370\) | 3.61580 | + | 4.17286i | 0.187977 | + | 0.216937i | ||||
\(371\) | −10.4735 | − | 26.9064i | −0.543760 | − | 1.39691i | ||||
\(372\) | 0.0195902 | − | 0.136253i | 0.00101570 | − | 0.00706438i | ||||
\(373\) | 6.91076 | − | 0.659898i | 0.357826 | − | 0.0341682i | 0.0854047 | − | 0.996346i | \(-0.472782\pi\) |
0.272421 | + | 0.962178i | \(0.412176\pi\) | |||||||
\(374\) | 18.3336 | + | 7.33966i | 0.948007 | + | 0.379525i | ||||
\(375\) | 15.5936 | − | 14.8684i | 0.805248 | − | 0.767803i | ||||
\(376\) | 6.06530 | + | 3.12688i | 0.312794 | + | 0.161257i | ||||
\(377\) | −6.87970 | − | 15.0644i | −0.354322 | − | 0.775858i | ||||
\(378\) | −2.84208 | + | 2.41537i | −0.146181 | + | 0.124233i | ||||
\(379\) | 7.64245 | − | 8.81986i | 0.392566 | − | 0.453046i | −0.524720 | − | 0.851275i | \(-0.675830\pi\) |
0.917286 | + | 0.398230i | \(0.130375\pi\) | |||||||
\(380\) | 0.279630 | + | 0.0538943i | 0.0143447 | + | 0.00276472i | ||||
\(381\) | 2.75949 | − | 11.3748i | 0.141373 | − | 0.582748i | ||||
\(382\) | 5.25059 | + | 0.501370i | 0.268644 | + | 0.0256523i | ||||
\(383\) | −5.46999 | − | 2.81997i | −0.279503 | − | 0.144094i | 0.312775 | − | 0.949827i | \(-0.398741\pi\) |
−0.592279 | + | 0.805733i | \(0.701772\pi\) | |||||||
\(384\) | 10.7513 | + | 3.15686i | 0.548648 | + | 0.161098i | ||||
\(385\) | −22.8499 | + | 0.869032i | −1.16454 | + | 0.0442900i | ||||
\(386\) | 10.4595 | − | 22.9031i | 0.532374 | − | 1.16574i | ||||
\(387\) | −2.83728 | + | 1.13588i | −0.144227 | + | 0.0577399i | ||||
\(388\) | −0.00456615 | + | 0.00235401i | −0.000231811 | + | 0.000119507i | ||||
\(389\) | 4.91167 | − | 0.946647i | 0.249032 | − | 0.0479969i | −0.0632076 | − | 0.998000i | \(-0.520133\pi\) |
0.312239 | + | 0.950003i | \(0.398921\pi\) | |||||||
\(390\) | −8.02798 | − | 13.9049i | −0.406512 | − | 0.704100i | ||||
\(391\) | −15.6154 | − | 26.2931i | −0.789702 | − | 1.32970i | ||||
\(392\) | 19.4266 | + | 4.13193i | 0.981190 | + | 0.208694i | ||||
\(393\) | 7.31875 | + | 8.44629i | 0.369182 | + | 0.426059i | ||||
\(394\) | 1.26386 | − | 26.5316i | 0.0636721 | − | 1.33664i | ||||
\(395\) | −16.7146 | − | 13.1445i | −0.841000 | − | 0.661370i | ||||
\(396\) | 0.0161241 | + | 0.0226432i | 0.000810267 | + | 0.00113786i | ||||
\(397\) | −27.8171 | + | 21.8756i | −1.39610 | + | 1.09791i | −0.413849 | + | 0.910346i | \(0.635816\pi\) |
−0.982253 | + | 0.187561i | \(0.939942\pi\) | |||||||
\(398\) | −32.9788 | − | 9.68344i | −1.65308 | − | 0.485387i | ||||
\(399\) | 6.80652 | + | 13.5194i | 0.340752 | + | 0.676819i | ||||
\(400\) | −17.2980 | − | 37.8774i | −0.864901 | − | 1.89387i | ||||
\(401\) | −16.8049 | − | 16.0235i | −0.839198 | − | 0.800173i | 0.142664 | − | 0.989771i | \(-0.454433\pi\) |
−0.981862 | + | 0.189598i | \(0.939282\pi\) | |||||||
\(402\) | 6.22739 | + | 17.9929i | 0.310594 | + | 0.897403i | ||||
\(403\) | 10.3012 | + | 29.7635i | 0.513141 | + | 1.48262i | ||||
\(404\) | −0.0962977 | − | 0.0918196i | −0.00479099 | − | 0.00456820i | ||||
\(405\) | −1.63427 | − | 3.57854i | −0.0812073 | − | 0.177819i | ||||
\(406\) | 11.7067 | − | 17.8376i | 0.580992 | − | 0.885267i | ||||
\(407\) | 2.09860 | + | 0.616205i | 0.104024 | + | 0.0305441i | ||||
\(408\) | 14.2213 | − | 11.1837i | 0.704058 | − | 0.553677i | ||||
\(409\) | 3.76793 | + | 5.29132i | 0.186312 | + | 0.261639i | 0.897159 | − | 0.441708i | \(-0.145627\pi\) |
−0.710847 | + | 0.703347i | \(0.751688\pi\) | |||||||
\(410\) | 38.9160 | + | 30.6039i | 1.92192 | + | 1.51142i | ||||
\(411\) | 0.223552 | − | 4.69293i | 0.0110270 | − | 0.231485i | ||||
\(412\) | −0.0145373 | − | 0.0167769i | −0.000716201 | − | 0.000826540i | ||||
\(413\) | −10.5677 | − | 7.67893i | −0.520001 | − | 0.377855i | ||||
\(414\) | −0.238474 | + | 6.75663i | −0.0117203 | + | 0.332070i | ||||
\(415\) | −13.2422 | − | 22.9362i | −0.650034 | − | 1.12589i | ||||
\(416\) | 0.203471 | − | 0.0392159i | 0.00997600 | − | 0.00192272i | ||||
\(417\) | −0.684096 | + | 0.352676i | −0.0335003 | + | 0.0172706i | ||||
\(418\) | −16.4488 | + | 6.58510i | −0.804536 | + | 0.322088i | ||||
\(419\) | −7.61652 | + | 16.6779i | −0.372092 | + | 0.814767i | 0.627262 | + | 0.778809i | \(0.284176\pi\) |
−0.999353 | + | 0.0359583i | \(0.988552\pi\) | |||||||
\(420\) | −0.0614677 | + | 0.116476i | −0.00299932 | + | 0.00568343i | ||||
\(421\) | −0.665335 | − | 0.195360i | −0.0324264 | − | 0.00952126i | 0.265479 | − | 0.964117i | \(-0.414470\pi\) |
−0.297906 | + | 0.954595i | \(0.596288\pi\) | |||||||
\(422\) | 5.93690 | + | 3.06069i | 0.289004 | + | 0.148992i | ||||
\(423\) | −2.39417 | − | 0.228615i | −0.116408 | − | 0.0111156i | ||||
\(424\) | 7.29988 | − | 30.0905i | 0.354514 | − | 1.46133i | ||||
\(425\) | −65.5977 | − | 12.6429i | −3.18196 | − | 0.613272i | ||||
\(426\) | −10.0364 | + | 11.5826i | −0.486264 | + | 0.561179i | ||||
\(427\) | −4.24376 | + | 3.60660i | −0.205370 | + | 0.174535i | ||||
\(428\) | 0.0337102 | + | 0.0738150i | 0.00162944 | + | 0.00356798i | ||||
\(429\) | −5.65314 | − | 2.91440i | −0.272936 | − | 0.140708i | ||||
\(430\) | 12.2670 | − | 11.6966i | 0.591568 | − | 0.564059i | ||||
\(431\) | 4.56365 | + | 1.82701i | 0.219823 | + | 0.0880039i | 0.478960 | − | 0.877837i | \(-0.341014\pi\) |
−0.259137 | + | 0.965841i | \(0.583438\pi\) | |||||||
\(432\) | −3.95654 | + | 0.377803i | −0.190359 | + | 0.0181771i | ||||
\(433\) | −2.22675 | + | 15.4874i | −0.107011 | + | 0.744275i | 0.863697 | + | 0.504011i | \(0.168143\pi\) |
−0.970708 | + | 0.240264i | \(0.922766\pi\) | |||||||
\(434\) | −25.3875 | + | 31.6537i | −1.21864 | + | 1.51942i | ||||
\(435\) | 14.7373 | + | 17.0077i | 0.706599 | + | 0.815459i | ||||
\(436\) | −0.00471213 | − | 0.00816165i | −0.000225670 | − | 0.000390872i | ||||
\(437\) | 26.4185 | + | 7.40490i | 1.26377 | + | 0.354224i | ||||
\(438\) | 1.94906 | − | 3.37587i | 0.0931296 | − | 0.161305i | ||||
\(439\) | −5.18908 | + | 14.9928i | −0.247661 | + | 0.715570i | 0.750822 | + | 0.660505i | \(0.229658\pi\) |
−0.998483 | + | 0.0550647i | \(0.982463\pi\) | |||||||
\(440\) | −20.6292 | − | 13.2576i | −0.983459 | − | 0.632031i | ||||
\(441\) | −6.89763 | + | 1.19274i | −0.328459 | + | 0.0567973i | ||||
\(442\) | −10.8108 | + | 23.6724i | −0.514218 | + | 1.12598i | ||||
\(443\) | −14.3252 | + | 11.2655i | −0.680612 | + | 0.535240i | −0.897532 | − | 0.440950i | \(-0.854642\pi\) |
0.216919 | + | 0.976190i | \(0.430399\pi\) | |||||||
\(444\) | 0.00911703 | − | 0.00869307i | 0.000432675 | − | 0.000412555i | ||||
\(445\) | 0.0563968 | + | 1.18391i | 0.00267346 | + | 0.0561229i | ||||
\(446\) | 10.0215 | − | 14.0732i | 0.474532 | − | 0.666387i | ||||
\(447\) | −6.76154 | + | 1.98537i | −0.319810 | + | 0.0939046i | ||||
\(448\) | 14.5490 | + | 15.5544i | 0.687377 | + | 0.734878i | ||||
\(449\) | 4.36693 | − | 5.03971i | 0.206088 | − | 0.237838i | −0.643291 | − | 0.765622i | \(-0.722431\pi\) |
0.849379 | + | 0.527784i | \(0.176977\pi\) | |||||||
\(450\) | 10.6892 | + | 10.1921i | 0.503892 | + | 0.480460i | ||||
\(451\) | 19.5226 | + | 1.86418i | 0.919283 | + | 0.0877809i | ||||
\(452\) | −0.00649275 | − | 0.136300i | −0.000305394 | − | 0.00641100i | ||||
\(453\) | −0.0887518 | − | 0.365840i | −0.00416992 | − | 0.0171887i | ||||
\(454\) | 2.26286 | + | 15.7385i | 0.106201 | + | 0.738647i | ||||
\(455\) | 0.288857 | − | 30.1320i | 0.0135418 | − | 1.41261i | ||||
\(456\) | −2.31006 | + | 16.0668i | −0.108178 | + | 0.752398i | ||||
\(457\) | −1.03692 | + | 21.7675i | −0.0485048 | + | 1.01824i | 0.835126 | + | 0.550058i | \(0.185395\pi\) |
−0.883631 | + | 0.468184i | \(0.844909\pi\) | |||||||
\(458\) | −11.2527 | + | 2.16879i | −0.525806 | + | 0.101341i | ||||
\(459\) | −3.18824 | + | 5.52219i | −0.148814 | + | 0.257754i | ||||
\(460\) | 0.0808530 | + | 0.224618i | 0.00376979 | + | 0.0104728i | ||||
\(461\) | −0.639072 | −0.0297646 | −0.0148823 | − | 0.999889i | \(-0.504737\pi\) | ||||
−0.0148823 | + | 0.999889i | \(0.504737\pi\) | |||||||
\(462\) | −0.700661 | − | 8.16398i | −0.0325977 | − | 0.379823i | ||||
\(463\) | 22.3309 | + | 14.3512i | 1.03781 | + | 0.666957i | 0.944443 | − | 0.328675i | \(-0.106602\pi\) |
0.0933627 | + | 0.995632i | \(0.470238\pi\) | |||||||
\(464\) | 21.1074 | − | 8.45012i | 0.979886 | − | 0.392287i | ||||
\(465\) | −24.8258 | − | 34.8630i | −1.15127 | − | 1.61673i | ||||
\(466\) | −27.5952 | − | 11.0474i | −1.27832 | − | 0.511763i | ||||
\(467\) | 6.34050 | + | 26.1359i | 0.293403 | + | 1.20943i | 0.907452 | + | 0.420157i | \(0.138025\pi\) |
−0.614048 | + | 0.789269i | \(0.710460\pi\) | |||||||
\(468\) | −0.0308164 | + | 0.0198045i | −0.00142449 | + | 0.000915463i | ||||
\(469\) | −7.09873 | + | 35.0217i | −0.327789 | + | 1.61715i | ||||
\(470\) | 12.7981 | − | 3.75785i | 0.590331 | − | 0.173337i | ||||
\(471\) | −3.61636 | − | 0.696997i | −0.166633 | − | 0.0321159i | ||||
\(472\) | −4.58181 | − | 13.2383i | −0.210895 | − | 0.609341i | ||||
\(473\) | 1.58292 | − | 6.52490i | 0.0727829 | − | 0.300015i | ||||
\(474\) | 4.41987 | − | 6.20684i | 0.203012 | − | 0.285090i | ||||
\(475\) | 50.4223 | − | 32.4044i | 2.31353 | − | 1.48682i | ||||
\(476\) | 0.211573 | − | 0.0283523i | 0.00969744 | − | 0.00129953i | ||||
\(477\) | 1.55307 | + | 10.8019i | 0.0711104 | + | 0.494584i | ||||
\(478\) | −36.1233 | + | 3.44936i | −1.65224 | + | 0.157770i | ||||
\(479\) | 13.8918 | + | 10.9246i | 0.634731 | + | 0.499158i | 0.882901 | − | 0.469559i | \(-0.155587\pi\) |
−0.248171 | + | 0.968716i | \(0.579829\pi\) | |||||||
\(480\) | −0.250280 | + | 0.129028i | −0.0114237 | + | 0.00588931i | ||||
\(481\) | −0.942704 | + | 2.72376i | −0.0429836 | + | 0.124193i | ||||
\(482\) | 8.02752 | 0.365644 | ||||||||
\(483\) | −6.83076 | + | 10.6930i | −0.310810 | + | 0.486549i | ||||
\(484\) | 0.0781156 | 0.00355071 | ||||||||
\(485\) | −0.522410 | + | 1.50940i | −0.0237214 | + | 0.0685385i | ||||
\(486\) | 1.25302 | − | 0.645977i | 0.0568382 | − | 0.0293021i | ||||
\(487\) | −4.19371 | − | 3.29797i | −0.190035 | − | 0.149445i | 0.518609 | − | 0.855012i | \(-0.326450\pi\) |
−0.708644 | + | 0.705567i | \(0.750693\pi\) | |||||||
\(488\) | −5.94546 | + | 0.567723i | −0.269138 | + | 0.0256996i | ||||
\(489\) | 2.19705 | + | 15.2809i | 0.0993543 | + | 0.691024i | ||||
\(490\) | 33.0553 | − | 20.3587i | 1.49329 | − | 0.919711i | ||||
\(491\) | 21.6582 | − | 13.9188i | 0.977419 | − | 0.628149i | 0.0486528 | − | 0.998816i | \(-0.484507\pi\) |
0.928766 | + | 0.370667i | \(0.120871\pi\) | |||||||
\(492\) | 0.0655188 | − | 0.0920082i | 0.00295381 | − | 0.00414805i | ||||
\(493\) | 8.59958 | − | 35.4479i | 0.387305 | − | 1.59649i | ||||
\(494\) | −7.63662 | − | 22.0646i | −0.343588 | − | 0.992731i | ||||
\(495\) | 8.48652 | + | 1.63564i | 0.381441 | + | 0.0735167i | ||||
\(496\) | −41.4878 | + | 12.1819i | −1.86286 | + | 0.546984i | ||||
\(497\) | −27.2704 | + | 9.14659i | −1.22324 | + | 0.410281i | ||||
\(498\) | 7.98387 | − | 5.13092i | 0.357766 | − | 0.229922i | ||||
\(499\) | −2.55121 | − | 10.5162i | −0.114208 | − | 0.470771i | −0.999978 | − | 0.00664671i | \(-0.997884\pi\) |
0.885770 | − | 0.464124i | \(-0.153631\pi\) | |||||||
\(500\) | 0.253094 | + | 0.101324i | 0.0113187 | + | 0.00453133i | ||||
\(501\) | −6.45253 | − | 9.06131i | −0.288278 | − | 0.404829i | ||||
\(502\) | 2.31110 | − | 0.925224i | 0.103149 | − | 0.0412948i | ||||
\(503\) | −3.33099 | − | 2.14070i | −0.148521 | − | 0.0954489i | 0.464270 | − | 0.885694i | \(-0.346317\pi\) |
−0.612791 | + | 0.790245i | \(0.709953\pi\) | |||||||
\(504\) | −6.79822 | − | 3.18375i | −0.302817 | − | 0.141816i | ||||
\(505\) | −41.3696 | −1.84092 | ||||||||
\(506\) | −11.7874 | − | 9.03690i | −0.524012 | − | 0.401739i | ||||
\(507\) | −2.30929 | + | 3.99981i | −0.102559 | + | 0.177638i | ||||
\(508\) | 0.145424 | − | 0.0280283i | 0.00645216 | − | 0.00124355i | ||||
\(509\) | 1.47008 | − | 30.8607i | 0.0651600 | − | 1.36788i | −0.695406 | − | 0.718617i | \(-0.744775\pi\) |
0.760566 | − | 0.649261i | \(-0.224922\pi\) | |||||||
\(510\) | 5.03278 | − | 35.0038i | 0.222855 | − | 1.54999i | ||||
\(511\) | 6.37052 | − | 3.59704i | 0.281815 | − | 0.159124i | ||||
\(512\) | 3.25024 | + | 22.6059i | 0.143642 | + | 0.999051i | ||||
\(513\) | −1.34876 | − | 5.55968i | −0.0595493 | − | 0.245466i | ||||
\(514\) | 1.29394 | + | 27.1631i | 0.0570733 | + | 1.19812i | ||||
\(515\) | −6.87082 | − | 0.656083i | −0.302764 | − | 0.0289105i | ||||
\(516\) | −0.0279871 | − | 0.0266856i | −0.00123206 | − | 0.00117477i | ||||
\(517\) | 3.46006 | − | 3.99312i | 0.152173 | − | 0.175617i | ||||
\(518\) | −3.61689 | + | 0.840820i | −0.158917 | + | 0.0369435i | ||||
\(519\) | 6.04688 | − | 1.77552i | 0.265428 | − | 0.0779368i | ||||
\(520\) | 18.7446 | − | 26.3231i | 0.822004 | − | 1.15434i | ||||
\(521\) | −0.608521 | − | 12.7744i | −0.0266598 | − | 0.559658i | −0.972200 | − | 0.234152i | \(-0.924769\pi\) |
0.945540 | − | 0.325506i | \(-0.105534\pi\) | |||||||
\(522\) | −5.83639 | + | 5.56498i | −0.255452 | + | 0.243573i | ||||
\(523\) | −14.5589 | + | 11.4492i | −0.636615 | + | 0.500639i | −0.883516 | − | 0.468401i | \(-0.844830\pi\) |
0.246901 | + | 0.969041i | \(0.420588\pi\) | |||||||
\(524\) | −0.0587444 | + | 0.128632i | −0.00256626 | + | 0.00561932i | ||||
\(525\) | 7.55403 | + | 26.6698i | 0.329685 | + | 1.16397i | ||||
\(526\) | 11.9136 | + | 7.65639i | 0.519457 | + | 0.333835i | ||||
\(527\) | −22.6888 | + | 65.5549i | −0.988339 | + | 2.85562i | ||||
\(528\) | 4.36582 | − | 7.56182i | 0.189998 | − | 0.329086i | ||||
\(529\) | 5.97149 | + | 22.2113i | 0.259630 | + | 0.965708i | ||||
\(530\) | −30.2614 | − | 52.4143i | −1.31447 | − | 2.27673i | ||||
\(531\) | 3.23327 | + | 3.73140i | 0.140312 | + | 0.161929i | ||||
\(532\) | −0.119827 | + | 0.149402i | −0.00519516 | + | 0.00647742i | ||||
\(533\) | −3.67797 | + | 25.5808i | −0.159311 | + | 1.10803i | ||||
\(534\) | −0.422803 | + | 0.0403728i | −0.0182965 | + | 0.00174710i | ||||
\(535\) | 23.4231 | + | 9.37718i | 1.01267 | + | 0.405411i | ||||
\(536\) | −27.7342 | + | 26.4445i | −1.19794 | + | 1.14223i | ||||
\(537\) | −17.6438 | − | 9.09599i | −0.761384 | − | 0.392521i | ||||
\(538\) | −6.77939 | − | 14.8448i | −0.292280 | − | 0.640005i | ||||
\(539\) | 6.65536 | − | 13.8635i | 0.286667 | − | 0.597144i | ||||
\(540\) | 0.0325976 | − | 0.0376196i | 0.00140278 | − | 0.00161889i | ||||
\(541\) | 21.3390 | + | 4.11276i | 0.917435 | + | 0.176821i | 0.626049 | − | 0.779784i | \(-0.284671\pi\) |
0.291387 | + | 0.956605i | \(0.405883\pi\) | |||||||
\(542\) | 8.03348 | − | 33.1144i | 0.345067 | − | 1.42239i | ||||
\(543\) | −11.3897 | − | 1.08759i | −0.488780 | − | 0.0466728i | ||||
\(544\) | 0.405664 | + | 0.209134i | 0.0173927 | + | 0.00896656i | ||||
\(545\) | −2.81147 | − | 0.825522i | −0.120430 | − | 0.0353615i | ||||
\(546\) | 10.7902 | − | 0.410376i | 0.461779 | − | 0.0175625i | ||||
\(547\) | −1.50001 | + | 3.28456i | −0.0641358 | + | 0.140438i | −0.938986 | − | 0.343956i | \(-0.888233\pi\) |
0.874850 | + | 0.484394i | \(0.160960\pi\) | |||||||
\(548\) | 0.0551889 | − | 0.0220943i | 0.00235755 | − | 0.000943822i | ||||
\(549\) | 1.87099 | − | 0.964564i | 0.0798521 | − | 0.0411666i | ||||
\(550\) | −31.8606 | + | 6.14063i | −1.35854 | + | 0.261838i | ||||
\(551\) | 16.3631 | + | 28.3417i | 0.697092 | + | 1.20740i | ||||
\(552\) | −12.5693 | + | 5.21254i | −0.534983 | + | 0.221860i | ||||
\(553\) | 13.0645 | − | 5.81568i | 0.555561 | − | 0.247308i | ||||
\(554\) | −2.44468 | − | 2.82131i | −0.103865 | − | 0.119866i | ||||
\(555\) | 0.186363 | − | 3.91225i | 0.00791069 | − | 0.166066i | ||||
\(556\) | −0.00765497 | − | 0.00601993i | −0.000324643 | − | 0.000255302i | ||||
\(557\) | 15.0612 | + | 21.1505i | 0.638164 | + | 0.896176i | 0.999340 | − | 0.0363214i | \(-0.0115640\pi\) |
−0.361176 | + | 0.932498i | \(0.617625\pi\) | |||||||
\(558\) | 12.0554 | − | 9.48046i | 0.510345 | − | 0.401340i | ||||
\(559\) | 8.48952 | + | 2.49275i | 0.359068 | + | 0.105432i | ||||
\(560\) | 41.3014 | + | 2.36444i | 1.74530 | + | 0.0999158i | ||||
\(561\) | −5.81932 | − | 12.7425i | −0.245692 | − | 0.537990i | ||||
\(562\) | 4.03081 | + | 3.84337i | 0.170030 | + | 0.162123i | ||||
\(563\) | −3.39049 | − | 9.79619i | −0.142892 | − | 0.412860i | 0.850732 | − | 0.525599i | \(-0.176159\pi\) |
−0.993625 | + | 0.112739i | \(0.964038\pi\) | |||||||
\(564\) | −0.00995312 | − | 0.0287576i | −0.000419102 | − | 0.00121092i | ||||
\(565\) | −30.7051 | − | 29.2773i | −1.29177 | − | 1.23170i | ||||
\(566\) | 12.8628 | + | 28.1656i | 0.540664 | + | 1.18389i | ||||
\(567\) | 2.64143 | + | 0.151217i | 0.110929 | + | 0.00635053i | ||||
\(568\) | −29.5964 | − | 8.69028i | −1.24184 | − | 0.364636i | ||||
\(569\) | 3.74374 | − | 2.94411i | 0.156946 | − | 0.123423i | −0.536598 | − | 0.843838i | \(-0.680291\pi\) |
0.693544 | + | 0.720415i | \(0.256048\pi\) | |||||||
\(570\) | 18.4041 | + | 25.8450i | 0.770864 | + | 1.08253i | ||||
\(571\) | 3.78944 | + | 2.98005i | 0.158583 | + | 0.124711i | 0.694298 | − | 0.719688i | \(-0.255715\pi\) |
−0.535714 | + | 0.844399i | \(0.679958\pi\) | |||||||
\(572\) | 0.00382918 | − | 0.0803844i | 0.000160106 | − | 0.00336104i | ||||
\(573\) | −2.45014 | − | 2.82761i | −0.102356 | − | 0.118125i | ||||
\(574\) | −30.4178 | + | 13.5405i | −1.26962 | + | 0.565168i | ||||
\(575\) | 44.9397 | + | 22.4716i | 1.87412 | + | 0.937132i | ||||
\(576\) | −4.02498 | − | 6.97148i | −0.167708 | − | 0.290478i | ||||
\(577\) | −26.8059 | + | 5.16642i | −1.11595 | + | 0.215081i | −0.713701 | − | 0.700451i | \(-0.752982\pi\) |
−0.402246 | + | 0.915532i | \(0.631770\pi\) | |||||||
\(578\) | −29.6458 | + | 15.2835i | −1.23310 | + | 0.635708i | ||||
\(579\) | −16.5810 | + | 6.63804i | −0.689084 | + | 0.275868i | ||||
\(580\) | −0.118290 | + | 0.259018i | −0.00491171 | + | 0.0107551i | ||||
\(581\) | 17.7986 | − | 0.676917i | 0.738408 | − | 0.0280832i | ||||
\(582\) | −0.549176 | − | 0.161253i | −0.0227641 | − | 0.00668414i | ||||
\(583\) | −21.3095 | − | 10.9858i | −0.882549 | − | 0.454985i | ||||
\(584\) | 7.81003 | + | 0.745767i | 0.323181 | + | 0.0308601i | ||||
\(585\) | −2.68514 | + | 11.0683i | −0.111017 | + | 0.457618i | ||||
\(586\) | −26.6912 | − | 5.14430i | −1.10260 | − | 0.212509i | ||||
\(587\) | −26.5227 | + | 30.6088i | −1.09471 | + | 1.26336i | −0.132458 | + | 0.991189i | \(0.542287\pi\) |
−0.962249 | + | 0.272171i | \(0.912258\pi\) | |||||||
\(588\) | −0.0499839 | − | 0.0731199i | −0.00206130 | − | 0.00301541i | ||||
\(589\) | −25.8549 | − | 56.6142i | −1.06533 | − | 2.33275i | ||||
\(590\) | −24.3384 | − | 12.5473i | −1.00200 | − | 0.516565i | ||||
\(591\) | −13.6363 | + | 13.0022i | −0.560924 | + | 0.534840i | ||||
\(592\) | −3.67354 | − | 1.47066i | −0.150982 | − | 0.0604439i | ||||
\(593\) | 31.0207 | − | 2.96212i | 1.27387 | − | 0.121640i | 0.563882 | − | 0.825855i | \(-0.309307\pi\) |
0.709986 | + | 0.704216i | \(0.248701\pi\) | |||||||
\(594\) | −0.440754 | + | 3.06551i | −0.0180844 | + | 0.125780i | ||||
\(595\) | 41.5253 | − | 51.7745i | 1.70237 | − | 2.12255i | ||||
\(596\) | −0.0583914 | − | 0.0673872i | −0.00239180 | − | 0.00276029i | ||||
\(597\) | 12.1906 | + | 21.1148i | 0.498929 | + | 0.864170i | ||||
\(598\) | 12.6344 | − | 14.9491i | 0.516661 | − | 0.611316i | ||||
\(599\) | −2.82495 | + | 4.89296i | −0.115424 | + | 0.199921i | −0.917949 | − | 0.396698i | \(-0.870156\pi\) |
0.802525 | + | 0.596619i | \(0.203489\pi\) | |||||||
\(600\) | −9.72237 | + | 28.0909i | −0.396914 | + | 1.14681i | ||||
\(601\) | −20.3109 | − | 13.0530i | −0.828500 | − | 0.532445i | 0.0563010 | − | 0.998414i | \(-0.482069\pi\) |
−0.884801 | + | 0.465969i | \(0.845706\pi\) | |||||||
\(602\) | 3.10649 | + | 10.9676i | 0.126611 | + | 0.447005i | ||||
\(603\) | 5.61066 | − | 12.2856i | 0.228484 | − | 0.500309i | ||||
\(604\) | 0.00374418 | − | 0.00294446i | 0.000152349 | − | 0.000119808i | ||||
\(605\) | 17.5777 | − | 16.7603i | 0.714634 | − | 0.681402i | ||||
\(606\) | −0.705374 | − | 14.8076i | −0.0286539 | − | 0.601519i | ||||
\(607\) | 6.24369 | − | 8.76804i | 0.253424 | − | 0.355884i | −0.668191 | − | 0.743990i | \(-0.732931\pi\) |
0.921615 | + | 0.388106i | \(0.126871\pi\) | |||||||
\(608\) | −0.392892 | + | 0.115364i | −0.0159339 | + | 0.00467861i | ||||
\(609\) | −14.7417 | + | 3.42701i | −0.597365 | + | 0.138870i | ||||
\(610\) | −7.64499 | + | 8.82279i | −0.309537 | + | 0.357224i | ||||
\(611\) | 5.03922 | + | 4.80488i | 0.203865 | + | 0.194385i | ||||
\(612\) | −0.0803167 | − | 0.00766931i | −0.00324661 | − | 0.000310014i | ||||
\(613\) | 0.136660 | + | 2.86884i | 0.00551963 | + | 0.115871i | 0.999946 | + | 0.0104338i | \(0.00332125\pi\) |
−0.994426 | + | 0.105437i | \(0.966376\pi\) | |||||||
\(614\) | 6.63396 | + | 27.3456i | 0.267725 | + | 1.10358i | ||||
\(615\) | −4.99793 | − | 34.7613i | −0.201536 | − | 1.40171i | ||||
\(616\) | 14.3606 | − | 8.10854i | 0.578604 | − | 0.326702i | ||||
\(617\) | 4.01074 | − | 27.8953i | 0.161466 | − | 1.12302i | −0.734405 | − | 0.678711i | \(-0.762539\pi\) |
0.895872 | − | 0.444312i | \(-0.146552\pi\) | |||||||
\(618\) | 0.117684 | − | 2.47049i | 0.00473395 | − | 0.0993778i | ||||
\(619\) | −17.8601 | + | 3.44226i | −0.717859 | + | 0.138356i | −0.535084 | − | 0.844799i | \(-0.679720\pi\) |
−0.182775 | + | 0.983155i | \(0.558508\pi\) | |||||||
\(620\) | 0.270769 | − | 0.468986i | 0.0108743 | − | 0.0188349i | ||||
\(621\) | 3.42987 | − | 3.35201i | 0.137636 | − | 0.134512i | ||||
\(622\) | −30.8820 | −1.23826 | ||||||||
\(623\) | −0.721874 | − | 0.338069i | −0.0289213 | − | 0.0135444i | ||||
\(624\) | 9.67992 | + | 6.22091i | 0.387507 | + | 0.249036i | ||||
\(625\) | 30.0598 | − | 12.0341i | 1.20239 | − | 0.481365i | ||||
\(626\) | 17.5410 | + | 24.6329i | 0.701081 | + | 0.984531i | ||||
\(627\) | 11.6680 | + | 4.67117i | 0.465976 | + | 0.186548i | ||||
\(628\) | −0.0109864 | − | 0.0452866i | −0.000438406 | − | 0.00180713i | ||||
\(629\) | −5.34055 | + | 3.43216i | −0.212942 | + | 0.136849i | ||||
\(630\) | −13.9116 | + | 4.66601i | −0.554251 | + | 0.185898i | ||||
\(631\) | 7.27395 | − | 2.13583i | 0.289572 | − | 0.0850259i | −0.133721 | − | 0.991019i | \(-0.542693\pi\) |
0.423292 | + | 0.905993i | \(0.360874\pi\) | |||||||
\(632\) | 15.0587 | + | 2.90233i | 0.599004 | + | 0.115449i | ||||
\(633\) | −1.54967 | − | 4.47748i | −0.0615939 | − | 0.177964i | ||||
\(634\) | 8.60575 | − | 35.4734i | 0.341778 | − | 1.40883i | ||||
\(635\) | 26.7099 | − | 37.5088i | 1.05995 | − | 1.48849i | ||||
\(636\) | −0.116162 | + | 0.0746529i | −0.00460613 | + | 0.00296018i | ||||
\(637\) | 17.8313 | + | 9.62979i | 0.706503 | + | 0.381546i | ||||
\(638\) | −2.52130 | − | 17.5360i | −0.0998193 | − | 0.694258i | ||||
\(639\) | 10.8223 | − | 1.03341i | 0.428124 | − | 0.0408809i | ||||
\(640\) | 34.6506 | + | 27.2495i | 1.36968 | + | 1.07713i | ||||
\(641\) | 7.03149 | − | 3.62498i | 0.277727 | − | 0.143178i | −0.313736 | − | 0.949510i | \(-0.601581\pi\) |
0.591463 | + | 0.806332i | \(0.298550\pi\) | |||||||
\(642\) | −2.95705 | + | 8.54382i | −0.116705 | + | 0.337198i | ||||
\(643\) | 26.0263 | 1.02638 | 0.513188 | − | 0.858276i | \(-0.328464\pi\) | ||||
0.513188 | + | 0.858276i | \(0.328464\pi\) | |||||||
\(644\) | −0.158977 | − | 0.0224141i | −0.00626458 | − | 0.000883238i | ||||
\(645\) | −12.0233 | −0.473416 | ||||||||
\(646\) | 16.8199 | − | 48.5979i | 0.661769 | − | 1.91206i | ||||
\(647\) | 12.7268 | − | 6.56110i | 0.500341 | − | 0.257944i | −0.189532 | − | 0.981875i | \(-0.560697\pi\) |
0.689872 | + | 0.723931i | \(0.257667\pi\) | |||||||
\(648\) | 2.23027 | + | 1.75390i | 0.0876133 | + | 0.0688999i | ||||
\(649\) | −10.7977 | + | 1.03106i | −0.423847 | + | 0.0404725i | ||||
\(650\) | −6.08519 | − | 42.3234i | −0.238681 | − | 1.66006i | ||||
\(651\) | 28.5283 | − | 3.82300i | 1.11811 | − | 0.149835i | ||||
\(652\) | −0.164329 | + | 0.105608i | −0.00643561 | + | 0.00413592i | ||||
\(653\) | 6.39616 | − | 8.98214i | 0.250301 | − | 0.351498i | −0.670240 | − | 0.742144i | \(-0.733809\pi\) |
0.920541 | + | 0.390646i | \(0.127748\pi\) | |||||||
\(654\) | 0.247546 | − | 1.02040i | 0.00967983 | − | 0.0399008i | ||||
\(655\) | 14.3803 | + | 41.5490i | 0.561883 | + | 1.62345i | ||||
\(656\) | −34.8390 | − | 6.71466i | −1.36023 | − | 0.262163i | ||||
\(657\) | −2.65314 | + | 0.779031i | −0.103509 | + | 0.0303929i | ||||
\(658\) | −1.78201 | + | 8.79160i | −0.0694701 | + | 0.342732i | ||||
\(659\) | −18.1836 | + | 11.6859i | −0.708333 | + | 0.455218i | −0.844561 | − | 0.535459i | \(-0.820139\pi\) |
0.136228 | + | 0.990678i | \(0.456502\pi\) | |||||||
\(660\) | 0.0257818 | + | 0.106274i | 0.00100356 | + | 0.00413672i | ||||
\(661\) | 5.32304 | + | 2.13103i | 0.207042 | + | 0.0828873i | 0.472866 | − | 0.881134i | \(-0.343220\pi\) |
−0.265823 | + | 0.964022i | \(0.585644\pi\) | |||||||
\(662\) | −19.1469 | − | 26.8881i | −0.744166 | − | 1.04503i | ||||
\(663\) | 17.1380 | − | 6.86101i | 0.665584 | − | 0.266460i | ||||
\(664\) | 16.0688 | + | 10.3268i | 0.623589 | + | 0.400756i | ||||
\(665\) | 5.09178 | + | 59.3285i | 0.197451 | + | 2.30066i | ||||
\(666\) | 1.40351 | 0.0543849 | ||||||||
\(667\) | −13.4234 | + | 23.9259i | −0.519755 | + | 0.926414i | ||||
\(668\) | 0.0703761 | − | 0.121895i | 0.00272293 | − | 0.00471626i | ||||
\(669\) | −12.0339 | + | 2.31934i | −0.465256 | + | 0.0896708i | ||||
\(670\) | −3.56411 | + | 74.8198i | −0.137693 | + | 2.89054i | ||||
\(671\) | −0.658128 | + | 4.57738i | −0.0254068 | + | 0.176708i | ||||
\(672\) | 0.00181530 | − | 0.189362i | 7.00266e−5 | − | 0.00730481i | ||||
\(673\) | −0.638096 | − | 4.43806i | −0.0245968 | − | 0.171075i | 0.973820 | − | 0.227320i | \(-0.0729962\pi\) |
−0.998417 | + | 0.0562452i | \(0.982087\pi\) | |||||||
\(674\) | −1.41262 | − | 5.82290i | −0.0544121 | − | 0.224290i | ||||
\(675\) | −0.498506 | − | 10.4649i | −0.0191875 | − | 0.402795i | ||||
\(676\) | −0.0581746 | − | 0.00555500i | −0.00223748 | − | 0.000213654i | ||||
\(677\) | 23.4469 | + | 22.3566i | 0.901137 | + | 0.859232i | 0.990605 | − | 0.136757i | \(-0.0436681\pi\) |
−0.0894677 | + | 0.995990i | \(0.528517\pi\) | |||||||
\(678\) | 9.95582 | − | 11.4896i | 0.382351 | − | 0.441256i | ||||
\(679\) | −0.733791 | − | 0.784500i | −0.0281603 | − | 0.0301063i | ||||
\(680\) | 68.2918 | − | 20.0523i | 2.61887 | − | 0.768970i | ||||
\(681\) | 6.54247 | − | 9.18761i | 0.250708 | − | 0.352070i | ||||
\(682\) | 1.60317 | + | 33.6548i | 0.0613887 | + | 1.28871i | ||||
\(683\) | −34.2989 | + | 32.7040i | −1.31241 | + | 1.25138i | −0.365141 | + | 0.930952i | \(0.618979\pi\) |
−0.947272 | + | 0.320431i | \(0.896172\pi\) | |||||||
\(684\) | 0.0569004 | − | 0.0447470i | 0.00217564 | − | 0.00171094i | ||||
\(685\) | 7.67818 | − | 16.8129i | 0.293368 | − | 0.642387i | ||||
\(686\) | 1.73342 | + | 26.0510i | 0.0661823 | + | 0.994632i | ||||
\(687\) | 6.83862 | + | 4.39492i | 0.260910 | + | 0.167677i | ||||
\(688\) | −3.97289 | + | 11.4789i | −0.151465 | + | 0.437630i | ||||
\(689\) | 15.7969 | − | 27.3610i | 0.601813 | − | 1.04237i | ||||
\(690\) | −10.7501 | + | 24.3282i | −0.409250 | + | 0.926160i | ||||
\(691\) | −2.98464 | − | 5.16955i | −0.113541 | − | 0.196659i | 0.803655 | − | 0.595096i | \(-0.202886\pi\) |
−0.917196 | + | 0.398437i | \(0.869553\pi\) | |||||||
\(692\) | 0.0522197 | + | 0.0602647i | 0.00198509 | + | 0.00229092i | ||||
\(693\) | −3.63664 | + | 4.53423i | −0.138145 | + | 0.172241i | ||||
\(694\) | 2.07492 | − | 14.4314i | 0.0787630 | − | 0.547809i | ||||
\(695\) | −3.01415 | + | 0.287817i | −0.114333 | + | 0.0109175i | ||||
\(696\) | −15.0679 | − | 6.03230i | −0.571149 | − | 0.228654i | ||||
\(697\) | −41.1964 | + | 39.2807i | −1.56042 | + | 1.48786i | ||||
\(698\) | −18.7928 | − | 9.68836i | −0.711317 | − | 0.366710i | ||||
\(699\) | 8.75907 | + | 19.1797i | 0.331299 | + | 0.725443i | ||||
\(700\) | −0.267254 | + | 0.227128i | −0.0101012 | + | 0.00858463i | ||||
\(701\) | 11.5442 | − | 13.3228i | 0.436020 | − | 0.503194i | −0.494630 | − | 0.869103i | \(-0.664697\pi\) |
0.930650 | + | 0.365909i | \(0.119242\pi\) | |||||||
\(702\) | −4.00752 | − | 0.772386i | −0.151254 | − | 0.0291518i | ||||
\(703\) | 1.34281 | − | 5.53513i | 0.0506450 | − | 0.208761i | ||||
\(704\) | 17.6049 | + | 1.68106i | 0.663508 | + | 0.0633574i | ||||
\(705\) | −8.40983 | − | 4.33557i | −0.316732 | − | 0.163287i | ||||
\(706\) | −44.1418 | − | 12.9612i | −1.66130 | − | 0.487802i | ||||
\(707\) | 12.9853 | − | 24.6059i | 0.488362 | − | 0.925401i | ||||
\(708\) | −0.0259520 | + | 0.0568270i | −0.000975338 | + | 0.00213569i | ||||
\(709\) | −29.5797 | + | 11.8419i | −1.11089 | + | 0.444733i | −0.853247 | − | 0.521507i | \(-0.825370\pi\) |
−0.257643 | + | 0.966240i | \(0.582946\pi\) | |||||||
\(710\) | −53.5907 | + | 27.6279i | −2.01122 | + | 1.03686i | ||||
\(711\) | −5.30741 | + | 1.02292i | −0.199043 | + | 0.0383625i | ||||
\(712\) | −0.427413 | − | 0.740301i | −0.0160180 | − | 0.0277439i | ||||
\(713\) | 29.7382 | − | 42.8695i | 1.11370 | − | 1.60548i | ||||
\(714\) | 19.2399 | + | 13.9806i | 0.720036 | + | 0.523210i | ||||
\(715\) | −16.3854 | − | 18.9098i | −0.612780 | − | 0.707186i | ||||
\(716\) | 0.0119511 | − | 0.250884i | 0.000446633 | − | 0.00937598i | ||||
\(717\) | 20.2336 | + | 15.9119i | 0.755638 | + | 0.594241i | ||||
\(718\) | 16.5087 | + | 23.1833i | 0.616101 | + | 0.865193i | ||||
\(719\) | −21.7251 | + | 17.0848i | −0.810209 | + | 0.637155i | −0.934848 | − | 0.355047i | \(-0.884465\pi\) |
0.124640 | + | 0.992202i | \(0.460222\pi\) | |||||||
\(720\) | −15.0027 | − | 4.40518i | −0.559116 | − | 0.164171i | ||||
\(721\) | 2.54687 | − | 3.88071i | 0.0948505 | − | 0.144525i | ||||
\(722\) | 8.04013 | + | 17.6054i | 0.299222 | + | 0.655206i | ||||
\(723\) | −4.12120 | − | 3.92955i | −0.153269 | − | 0.146142i | ||||
\(724\) | −0.0473498 | − | 0.136808i | −0.00175974 | − | 0.00508444i | ||||
\(725\) | 19.6017 | + | 56.6355i | 0.727990 | + | 2.10339i | ||||
\(726\) | 6.29880 | + | 6.00589i | 0.233770 | + | 0.222900i | ||||
\(727\) | 2.60966 | + | 5.71435i | 0.0967868 | + | 0.211934i | 0.951832 | − | 0.306620i | \(-0.0991980\pi\) |
−0.855045 | + | 0.518553i | \(0.826471\pi\) | |||||||
\(728\) | 9.77287 | + | 19.4114i | 0.362207 | + | 0.719433i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 12.0544 | − | 9.47972i | 0.446155 | − | 0.350860i | ||||
\(731\) | 11.3040 | + | 15.8743i | 0.418095 | + | 0.587132i | ||||
\(732\) | 0.0209362 | + | 0.0164644i | 0.000773826 | + | 0.000608543i | ||||
\(733\) | −1.15166 | + | 24.1763i | −0.0425374 | + | 0.892970i | 0.872256 | + | 0.489049i | \(0.162656\pi\) |
−0.914794 | + | 0.403921i | \(0.867647\pi\) | |||||||
\(734\) | 28.9710 | + | 33.4343i | 1.06934 | + | 1.23408i | ||||
\(735\) | −26.9358 | − | 5.72911i | −0.993544 | − | 0.211322i | ||||
\(736\) | −0.251331 | − | 0.233801i | −0.00926419 | − | 0.00861801i | ||||
\(737\) | 14.8358 | + | 25.6964i | 0.546484 | + | 0.946538i | ||||
\(738\) | 12.3571 | − | 2.38163i | 0.454871 | − | 0.0876691i | ||||
\(739\) | −24.1418 | + | 12.4460i | −0.888071 | + | 0.457833i | −0.840985 | − | 0.541058i | \(-0.818024\pi\) |
−0.0470861 | + | 0.998891i | \(0.514994\pi\) | |||||||
\(740\) | 0.0460082 | − | 0.0184189i | 0.00169129 | − | 0.000677092i | ||||
\(741\) | −6.88032 | + | 15.0658i | −0.252755 | + | 0.553456i | ||||
\(742\) | 40.6737 | − | 1.54691i | 1.49318 | − | 0.0567888i | ||||
\(743\) | 4.25343 | + | 1.24892i | 0.156043 | + | 0.0458184i | 0.358821 | − | 0.933406i | \(-0.383179\pi\) |
−0.202778 | + | 0.979225i | \(0.564997\pi\) | |||||||
\(744\) | 27.4359 | + | 14.1442i | 1.00585 | + | 0.518552i | ||||
\(745\) | −27.5977 | − | 2.63526i | −1.01110 | − | 0.0965485i | ||||
\(746\) | −2.30729 | + | 9.51077i | −0.0844758 | + | 0.348214i | ||||
\(747\) | −6.61043 | − | 1.27406i | −0.241863 | − | 0.0466152i | ||||
\(748\) | 0.116074 | − | 0.133957i | 0.00424409 | − | 0.00489794i | ||||
\(749\) | −12.9295 | + | 10.9883i | −0.472435 | + | 0.401503i | ||||
\(750\) | 12.6179 | + | 27.6292i | 0.460739 | + | 1.00888i | ||||
\(751\) | −14.5243 | − | 7.48781i | −0.530000 | − | 0.273234i | 0.172387 | − | 0.985029i | \(-0.444852\pi\) |
−0.702387 | + | 0.711795i | \(0.747882\pi\) | |||||||
\(752\) | −6.91816 | + | 6.59645i | −0.252279 | + | 0.240548i | ||||
\(753\) | −1.63939 | − | 0.656312i | −0.0597426 | − | 0.0239173i | ||||
\(754\) | 23.2409 | − | 2.21924i | 0.846384 | − | 0.0808198i | ||||
\(755\) | 0.210766 | − | 1.46591i | 0.00767055 | − | 0.0533498i | ||||
\(756\) | 0.0121436 | + | 0.0311967i | 0.000441659 | + | 0.00113461i | ||||
\(757\) | −8.88032 | − | 10.2484i | −0.322761 | − | 0.372486i | 0.571062 | − | 0.820907i | \(-0.306532\pi\) |
−0.893822 | + | 0.448422i | \(0.851986\pi\) | |||||||
\(758\) | 8.22603 | + | 14.2479i | 0.298783 | + | 0.517507i | ||||
\(759\) | 1.62778 | + | 10.4094i | 0.0590848 | + | 0.377839i | ||||
\(760\) | −31.9289 | + | 55.3024i | −1.15818 | + | 2.00603i | ||||
\(761\) | −0.650474 | + | 1.87942i | −0.0235797 | + | 0.0681289i | −0.956176 | − | 0.292791i | \(-0.905416\pi\) |
0.932597 | + | 0.360920i | \(0.117537\pi\) | |||||||
\(762\) | 13.8811 | + | 8.92087i | 0.502861 | + | 0.323169i | ||||
\(763\) | 1.37348 | − | 1.41310i | 0.0497235 | − | 0.0511575i | ||||
\(764\) | 0.0196662 | − | 0.0430630i | 0.000711498 | − | 0.00155796i | ||||
\(765\) | −19.7185 | + | 15.5068i | −0.712922 | + | 0.560648i | ||||
\(766\) | 6.27886 | − | 5.98688i | 0.226864 | − | 0.216315i | ||||
\(767\) | −0.680134 | − | 14.2778i | −0.0245582 | − | 0.515540i | ||||
\(768\) | 0.176141 | − | 0.247355i | 0.00635594 | − | 0.00892567i | ||||
\(769\) | 11.1322 | − | 3.26871i | 0.401438 | − | 0.117873i | −0.0747802 | − | 0.997200i | \(-0.523826\pi\) |
0.476218 | + | 0.879327i | \(0.342007\pi\) | |||||||
\(770\) | 9.37789 | − | 30.8414i | 0.337956 | − | 1.11145i | ||||
\(771\) | 12.6324 | − | 14.5785i | 0.454943 | − | 0.525032i | ||||
\(772\) | −0.163556 | − | 0.155950i | −0.00588651 | − | 0.00561277i | ||||
\(773\) | −48.6908 | − | 4.64941i | −1.75129 | − | 0.167228i | −0.830429 | − | 0.557125i | \(-0.811904\pi\) |
−0.920858 | + | 0.389898i | \(0.872510\pi\) | |||||||
\(774\) | −0.205003 | − | 4.30355i | −0.00736870 | − | 0.154688i | ||||
\(775\) | −26.8713 | − | 110.765i | −0.965246 | − | 3.97880i | ||||
\(776\) | −0.163942 | − | 1.14024i | −0.00588516 | − | 0.0409322i | ||||
\(777\) | 2.26844 | + | 1.33884i | 0.0813799 | + | 0.0480307i | ||||
\(778\) | −1.00354 | + | 6.97980i | −0.0359788 | + | 0.250238i | ||||
\(779\) | 2.43001 | − | 51.0122i | 0.0870642 | − | 1.82770i | ||||
\(780\) | −0.141506 | + | 0.0272731i | −0.00506673 | + | 0.000976532i | ||||
\(781\) | −11.9418 | + | 20.6838i | −0.427312 | + | 0.740126i | ||||
\(782\) | 42.2276 | − | 8.67957i | 1.51005 | − | 0.310381i | ||||
\(783\) | 5.72042 | 0.204431 | ||||||||
\(784\) | −14.3702 | + | 23.8232i | −0.513222 | + | 0.850829i | ||||
\(785\) | −12.1888 | − | 7.83324i | −0.435035 | − | 0.279580i | ||||
\(786\) | −14.6267 | + | 5.85563i | −0.521715 | + | 0.208863i | ||||
\(787\) | −4.31448 | − | 6.05883i | −0.153794 | − | 0.215974i | 0.730489 | − | 0.682924i | \(-0.239292\pi\) |
−0.884284 | + | 0.466950i | \(0.845353\pi\) | |||||||
\(788\) | −0.221327 | − | 0.0886061i | −0.00788446 | − | 0.00315646i | ||||
\(789\) | −2.36835 | − | 9.76249i | −0.0843157 | − | 0.347554i | ||||
\(790\) | 25.2178 | − | 16.2065i | 0.897208 | − | 0.576600i | ||||
\(791\) | 27.0515 | − | 9.07318i | 0.961840 | − | 0.322605i | ||||
\(792\) | −5.98077 | + | 1.75611i | −0.212517 | + | 0.0624007i | ||||
\(793\) | −5.98397 | − | 1.15332i | −0.212497 | − | 0.0409555i | ||||
\(794\) | −16.3168 | − | 47.1443i | −0.579062 | − | 1.67309i | ||||
\(795\) | −10.1216 | + | 41.7219i | −0.358977 | + | 1.47972i | ||||
\(796\) | −0.178946 | + | 0.251295i | −0.00634258 | + | 0.00890691i | ||||
\(797\) | 33.1334 | − | 21.2936i | 1.17365 | − | 0.754257i | 0.199439 | − | 0.979910i | \(-0.436088\pi\) |
0.974208 | + | 0.225653i | \(0.0724517\pi\) | |||||||
\(798\) | −21.1489 | + | 2.83411i | −0.748664 | + | 0.100326i | ||||
\(799\) | 2.18251 | + | 15.1797i | 0.0772116 | + | 0.537019i | ||||
\(800\) | −0.746486 | + | 0.0712808i | −0.0263923 | + | 0.00252016i | ||||
\(801\) | 0.236823 | + | 0.186240i | 0.00836773 | + | 0.00658045i | ||||
\(802\) | 29.0948 | − | 14.9994i | 1.02737 | − | 0.529648i | ||||
\(803\) | 1.98685 | − | 5.74063i | 0.0701144 | − | 0.202582i | ||||
\(804\) | 0.170894 | 0.00602698 | ||||||||
\(805\) | −40.5823 | + | 29.0661i | −1.43034 | + | 1.02444i | ||||
\(806\) | −44.4005 | −1.56394 | ||||||||
\(807\) | −3.78626 | + | 10.9397i | −0.133282 | + | 0.385094i | ||||
\(808\) | 26.5197 | − | 13.6718i | 0.932958 | − | 0.480973i | ||||
\(809\) | 0.913549 | + | 0.718423i | 0.0321187 | + | 0.0252584i | 0.634089 | − | 0.773260i | \(-0.281375\pi\) |
−0.601971 | + | 0.798518i | \(0.705618\pi\) | |||||||
\(810\) | 5.52085 | − | 0.527178i | 0.193983 | − | 0.0185231i | ||||
\(811\) | −5.39120 | − | 37.4967i | −0.189311 | − | 1.31669i | −0.833798 | − | 0.552070i | \(-0.813838\pi\) |
0.644487 | − | 0.764615i | \(-0.277071\pi\) | |||||||
\(812\) | −0.116930 | − | 0.151659i | −0.00410345 | − | 0.00532217i | ||||
\(813\) | −20.3341 | + | 13.0679i | −0.713149 | + | 0.458313i | ||||
\(814\) | −1.78853 | + | 2.51163i | −0.0626878 | + | 0.0880327i | ||||
\(815\) | −14.3186 | + | 59.0219i | −0.501557 | + | 2.06745i | ||||
\(816\) | 8.28905 | + | 23.9496i | 0.290175 | + | 0.838405i | ||||
\(817\) | −17.1684 | − | 3.30894i | −0.600646 | − | 0.115765i | ||||
\(818\) | −8.78640 | + | 2.57992i | −0.307209 | + | 0.0902047i | ||||
\(819\) | −5.74041 | − | 5.07125i | −0.200586 | − | 0.177204i | ||||
\(820\) | 0.373820 | − | 0.240239i | 0.0130544 | − | 0.00838953i | ||||
\(821\) | −4.57240 | − | 18.8477i | −0.159578 | − | 0.657789i | −0.994254 | − | 0.107048i | \(-0.965860\pi\) |
0.834676 | − | 0.550741i | \(-0.185655\pi\) | |||||||
\(822\) | 6.14884 | + | 2.46162i | 0.214465 | + | 0.0858589i | ||||
\(823\) | 16.7299 | + | 23.4939i | 0.583168 | + | 0.818944i | 0.995762 | − | 0.0919707i | \(-0.0293166\pi\) |
−0.412594 | + | 0.910915i | \(0.635377\pi\) | |||||||
\(824\) | 4.62131 | − | 1.85009i | 0.160991 | − | 0.0644510i | ||||
\(825\) | 19.3626 | + | 12.4436i | 0.674121 | + | 0.433231i | ||||
\(826\) | 15.1024 | − | 10.5376i | 0.525479 | − | 0.366652i | ||||
\(827\) | 0.621670 | 0.0216176 | 0.0108088 | − | 0.999942i | \(-0.496559\pi\) | ||||
0.0108088 | + | 0.999942i | \(0.496559\pi\) | |||||||
\(828\) | 0.0566088 | + | 0.0218575i | 0.00196729 | + | 0.000759600i | ||||
\(829\) | 15.9394 | − | 27.6079i | 0.553599 | − | 0.958861i | −0.444413 | − | 0.895822i | \(-0.646588\pi\) |
0.998011 | − | 0.0630386i | \(-0.0200791\pi\) | |||||||
\(830\) | 36.6612 | − | 7.06587i | 1.27253 | − | 0.245260i | ||||
\(831\) | −0.126002 | + | 2.64511i | −0.00437097 | + | 0.0917580i | ||||
\(832\) | −3.31668 | + | 23.0680i | −0.114985 | + | 0.799739i | ||||
\(833\) | 17.7604 | + | 40.9497i | 0.615362 | + | 1.41882i | ||||
\(834\) | −0.154413 | − | 1.07396i | −0.00534687 | − | 0.0371883i | ||||
\(835\) | −10.3173 | − | 42.5287i | −0.357046 | − | 1.47177i | ||||
\(836\) | 0.00756684 | + | 0.158848i | 0.000261705 | + | 0.00549386i | ||||
\(837\) | −10.8298 | − | 1.03412i | −0.374334 | − | 0.0357445i | ||||
\(838\) | −18.7064 | − | 17.8365i | −0.646202 | − | 0.616153i | ||||
\(839\) | 7.11685 | − | 8.21329i | 0.245701 | − | 0.283554i | −0.619481 | − | 0.785011i | \(-0.712657\pi\) |
0.865182 | + | 0.501457i | \(0.167203\pi\) | |||||||
\(840\) | −20.1737 | − | 21.5678i | −0.696059 | − | 0.744160i | ||||
\(841\) | −3.57244 | + | 1.04896i | −0.123187 | + | 0.0361711i | ||||
\(842\) | 0.567030 | − | 0.796282i | 0.0195411 | − | 0.0274417i | ||||
\(843\) | −0.187983 | − | 3.94625i | −0.00647448 | − | 0.135916i | ||||
\(844\) | 0.0433887 | − | 0.0413710i | 0.00149350 | − | 0.00142405i | ||||
\(845\) | −14.2824 | + | 11.2318i | −0.491329 | + | 0.386385i | ||||
\(846\) | 1.40846 | − | 3.08410i | 0.0484238 | − | 0.106033i | ||||
\(847\) | 4.45136 | + | 15.7157i | 0.152950 | + | 0.539998i | ||||
\(848\) | 36.4884 | + | 23.4497i | 1.25302 | + | 0.805266i | ||||
\(849\) | 7.18380 | − | 20.7562i | 0.246547 | − | 0.712352i | ||||
\(850\) | 47.0886 | − | 81.5598i | 1.61513 | − | 2.79748i | ||||
\(851\) | 4.56433 | − | 1.40151i | 0.156463 | − | 0.0480433i | ||||
\(852\) | 0.0687792 | + | 0.119129i | 0.00235634 | + | 0.00408129i | ||||
\(853\) | 28.2712 | + | 32.6267i | 0.967988 | + | 1.11712i | 0.993081 | + | 0.117432i | \(0.0374664\pi\) |
−0.0250930 | + | 0.999685i | \(0.507988\pi\) | |||||||
\(854\) | −2.84800 | − | 7.31645i | −0.0974564 | − | 0.250364i | ||||
\(855\) | 3.20301 | − | 22.2774i | 0.109541 | − | 0.761871i | ||||
\(856\) | −18.1141 | + | 1.72969i | −0.619129 | + | 0.0591196i | ||||
\(857\) | −40.6513 | − | 16.2743i | −1.38862 | − | 0.555921i | −0.447591 | − | 0.894238i | \(-0.647718\pi\) |
−0.941032 | + | 0.338317i | \(0.890142\pi\) | |||||||
\(858\) | 6.48909 | − | 6.18734i | 0.221534 | − | 0.211232i | ||||
\(859\) | −1.81804 | − | 0.937267i | −0.0620309 | − | 0.0319791i | 0.426932 | − | 0.904284i | \(-0.359594\pi\) |
−0.488963 | + | 0.872305i | \(0.662625\pi\) | |||||||
\(860\) | −0.0631977 | − | 0.138384i | −0.00215502 | − | 0.00471884i | ||||
\(861\) | 22.2442 | + | 7.93838i | 0.758081 | + | 0.270539i | ||||
\(862\) | −4.53814 | + | 5.23729i | −0.154570 | + | 0.178383i | ||||
\(863\) | 21.9637 | + | 4.23315i | 0.747652 | + | 0.144098i | 0.548826 | − | 0.835937i | \(-0.315075\pi\) |
0.198826 | + | 0.980035i | \(0.436287\pi\) | |||||||
\(864\) | −0.0168746 | + | 0.0695579i | −0.000574084 | + | 0.00236641i | ||||
\(865\) | 24.6808 | + | 2.35673i | 0.839172 | + | 0.0801312i | ||||
\(866\) | −19.6055 | − | 10.1074i | −0.666224 | − | 0.343462i | ||||
\(867\) | 22.7011 | + | 6.66564i | 0.770969 | + | 0.226377i | ||||
\(868\) | 0.193954 | + | 0.308256i | 0.00658324 | + | 0.0104629i | ||||
\(869\) | 4.93281 | − | 10.8013i | 0.167334 | − | 0.366410i | ||||
\(870\) | −29.4527 | + | 11.7911i | −0.998541 | + | 0.399756i | ||||
\(871\) | −34.7546 | + | 17.9172i | −1.17761 | + | 0.607102i | ||||
\(872\) | 2.07509 | − | 0.399941i | 0.0702714 | − | 0.0135437i | ||||
\(873\) | 0.203003 | + | 0.351612i | 0.00687062 | + | 0.0119003i | ||||
\(874\) | −22.0458 | + | 31.7805i | −0.745711 | + | 1.07499i | ||||
\(875\) | −5.96243 | + | 56.6927i | −0.201567 | + | 1.91656i | ||||
\(876\) | −0.0229120 | − | 0.0264418i | −0.000774124 | − | 0.000893387i | ||||
\(877\) | 0.292899 | − | 6.14872i | 0.00989051 | − | 0.207627i | −0.988513 | − | 0.151138i | \(-0.951706\pi\) |
0.998403 | − | 0.0564894i | \(-0.0179907\pi\) | |||||||
\(878\) | −17.5809 | − | 13.8258i | −0.593326 | − | 0.466597i | ||||
\(879\) | 11.1846 | + | 15.7066i | 0.377248 | + | 0.529771i | ||||
\(880\) | 27.0015 | − | 21.2342i | 0.910220 | − | 0.715805i | ||||
\(881\) | −36.7002 | − | 10.7762i | −1.23646 | − | 0.363058i | −0.402777 | − | 0.915298i | \(-0.631955\pi\) |
−0.833685 | + | 0.552240i | \(0.813773\pi\) | |||||||
\(882\) | 1.59138 | − | 9.73897i | 0.0535845 | − | 0.327928i | ||||
\(883\) | 16.3773 | + | 35.8614i | 0.551141 | + | 1.20683i | 0.956247 | + | 0.292561i | \(0.0945074\pi\) |
−0.405106 | + | 0.914270i | \(0.632765\pi\) | |||||||
\(884\) | 0.169050 | + | 0.161189i | 0.00568576 | + | 0.00542136i | ||||
\(885\) | 6.35290 | + | 18.3555i | 0.213550 | + | 0.617013i | ||||
\(886\) | −8.40281 | − | 24.2783i | −0.282298 | − | 0.815647i | ||||
\(887\) | −4.42708 | − | 4.22122i | −0.148647 | − | 0.141735i | 0.612107 | − | 0.790775i | \(-0.290322\pi\) |
−0.760754 | + | 0.649040i | \(0.775171\pi\) | |||||||
\(888\) | 1.17345 | + | 2.56951i | 0.0393786 | + | 0.0862270i | ||||
\(889\) | 13.9258 | + | 27.6600i | 0.467055 | + | 0.927688i | ||||
\(890\) | −1.60321 | − | 0.470745i | −0.0537398 | − | 0.0157794i | ||||
\(891\) | 1.72688 | − | 1.35803i | 0.0578525 | − | 0.0454957i | ||||
\(892\) | −0.0899481 | − | 0.126314i | −0.00301168 | − | 0.00422932i | ||||
\(893\) | −10.8154 | − | 8.50536i | −0.361925 | − | 0.284621i | ||||
\(894\) | 0.472697 | − | 9.92312i | 0.0158093 | − | 0.331879i | ||||
\(895\) | −51.1398 | − | 59.0185i | −1.70942 | − | 1.97277i | ||||
\(896\) | −27.0838 | + | 12.0563i | −0.904807 | + | 0.402774i | ||||
\(897\) | −13.8041 | + | 1.48995i | −0.460905 | + | 0.0497481i | ||||
\(898\) | 4.70039 | + | 8.14132i | 0.156854 | + | 0.271679i | ||||
\(899\) | 61.1084 | − | 11.7777i | 2.03808 | − | 0.392807i | ||||
\(900\) | 0.117827 | − | 0.0607441i | 0.00392757 | − | 0.00202480i | ||||
\(901\) | 64.6015 | − | 25.8626i | 2.15219 | − | 0.861607i | ||||
\(902\) | −11.4849 | + | 25.1484i | −0.382406 | + | 0.837352i | ||||
\(903\) | 3.77393 | − | 7.15124i | 0.125588 | − | 0.237978i | ||||
\(904\) | 29.3588 | + | 8.62053i | 0.976460 | + | 0.286715i | ||||
\(905\) | −40.0079 | − | 20.6255i | −1.32991 | − | 0.685615i | ||||
\(906\) | 0.528293 | + | 0.0504459i | 0.0175514 | + | 0.00167595i | ||||
\(907\) | −0.552597 | + | 2.27784i | −0.0183487 | + | 0.0756343i | −0.980250 | − | 0.197763i | \(-0.936632\pi\) |
0.961901 | + | 0.273398i | \(0.0881474\pi\) | |||||||
\(908\) | 0.140135 | + | 0.0270088i | 0.00465055 | + | 0.000896319i | ||||
\(909\) | −6.88636 | + | 7.94728i | −0.228406 | + | 0.263595i | ||||
\(910\) | 40.0087 | + | 14.2780i | 1.32627 | + | 0.473313i | ||||
\(911\) | −0.836430 | − | 1.83153i | −0.0277122 | − | 0.0606812i | 0.895270 | − | 0.445524i | \(-0.146983\pi\) |
−0.922982 | + | 0.384843i | \(0.874255\pi\) | |||||||
\(912\) | −20.2104 | − | 10.4192i | −0.669233 | − | 0.345014i | ||||
\(913\) | 10.7038 | − | 10.2061i | 0.354244 | − | 0.337771i | ||||
\(914\) | −28.5206 | − | 11.4179i | −0.943377 | − | 0.377671i | ||||
\(915\) | 8.24366 | − | 0.787175i | 0.272527 | − | 0.0260232i | ||||
\(916\) | −0.0146382 | + | 0.101811i | −0.000483660 | + | 0.00336393i | ||||
\(917\) | −29.2264 | − | 4.48848i | −0.965140 | − | 0.148223i | ||||
\(918\) | −5.88663 | − | 6.79353i | −0.194288 | − | 0.224220i | ||||
\(919\) | 12.9937 | + | 22.5057i | 0.428622 | + | 0.742395i | 0.996751 | − | 0.0805447i | \(-0.0256660\pi\) |
−0.568129 | + | 0.822939i | \(0.692333\pi\) | |||||||
\(920\) | −53.5275 | + | 0.659480i | −1.76475 | + | 0.0217424i | ||||
\(921\) | 9.98017 | − | 17.2862i | 0.328858 | − | 0.569599i | ||||
\(922\) | 0.294662 | − | 0.851371i | 0.00970419 | − | 0.0280384i | ||||
\(923\) | −26.4775 | − | 17.0161i | −0.871517 | − | 0.560090i | ||||
\(924\) | −0.0713026 | − | 0.0180233i | −0.00234568 | − | 0.000592922i | ||||
\(925\) | 4.33300 | − | 9.48795i | 0.142468 | − | 0.311962i | ||||
\(926\) | −29.4150 | + | 23.1322i | −0.966636 | + | 0.760171i | ||||
\(927\) | −1.26975 | + | 1.21070i | −0.0417040 | + | 0.0397647i | ||||
\(928\) | −0.0194820 | − | 0.408978i | −0.000639529 | − | 0.0134254i | ||||
\(929\) | 18.8716 | − | 26.5014i | 0.619156 | − | 0.869482i | −0.379287 | − | 0.925279i | \(-0.623831\pi\) |
0.998442 | + | 0.0557969i | \(0.0177699\pi\) | |||||||
\(930\) | 57.8911 | − | 16.9984i | 1.89832 | − | 0.557398i | ||||
\(931\) | −36.8858 | − | 15.5938i | −1.20888 | − | 0.511067i | ||||
\(932\) | −0.174711 | + | 0.201628i | −0.00572286 | + | 0.00660453i | ||||
\(933\) | 15.8543 | + | 15.1171i | 0.519047 | + | 0.494910i | ||||
\(934\) | −37.7417 | − | 3.60389i | −1.23495 | − | 0.117923i | ||||
\(935\) | −2.62224 | − | 55.0476i | −0.0857564 | − | 1.80025i | ||||
\(936\) | −1.93657 | − | 7.98264i | −0.0632987 | − | 0.260921i | ||||
\(937\) | −7.22741 | − | 50.2678i | −0.236109 | − | 1.64218i | −0.670830 | − | 0.741611i | \(-0.734062\pi\) |
0.434721 | − | 0.900565i | \(-0.356847\pi\) | |||||||
\(938\) | −43.3828 | − | 25.6047i | −1.41650 | − | 0.836022i | ||||
\(939\) | 3.05280 | − | 21.2327i | 0.0996243 | − | 0.692902i | ||||
\(940\) | 0.00569644 | − | 0.119583i | 0.000185797 | − | 0.00390037i | ||||
\(941\) | 28.8916 | − | 5.56841i | 0.941841 | − | 0.181525i | 0.304854 | − | 0.952399i | \(-0.401392\pi\) |
0.636987 | + | 0.770874i | \(0.280180\pi\) | |||||||
\(942\) | 2.59597 | − | 4.49634i | 0.0845811 | − | 0.146499i | ||||
\(943\) | 37.8080 | − | 20.0848i | 1.23120 | − | 0.654051i | ||||
\(944\) | 19.6236 | 0.638695 | ||||||||
\(945\) | 9.42605 | + | 4.41442i | 0.306629 | + | 0.143601i | ||||
\(946\) | 7.96261 | + | 5.11726i | 0.258887 | + | 0.166377i | ||||
\(947\) | −17.5003 | + | 7.00605i | −0.568682 | + | 0.227666i | −0.638142 | − | 0.769919i | \(-0.720297\pi\) |
0.0694598 | + | 0.997585i | \(0.477872\pi\) | |||||||
\(948\) | −0.0396706 | − | 0.0557096i | −0.00128844 | − | 0.00180936i | ||||
\(949\) | 7.43185 | + | 2.97526i | 0.241248 | + | 0.0965811i | ||||
\(950\) | 19.9205 | + | 82.1135i | 0.646307 | + | 2.66411i | ||||
\(951\) | −21.7827 | + | 13.9989i | −0.706351 | + | 0.453944i | ||||
\(952\) | −9.50902 | + | 46.9129i | −0.308189 | + | 1.52046i | ||||
\(953\) | 22.3363 | − | 6.55854i | 0.723545 | − | 0.212452i | 0.100833 | − | 0.994903i | \(-0.467849\pi\) |
0.622712 | + | 0.782451i | \(0.286031\pi\) | |||||||
\(954\) | −15.1063 | − | 2.91151i | −0.489085 | − | 0.0942635i | ||||
\(955\) | −4.81416 | − | 13.9096i | −0.155783 | − | 0.450104i | ||||
\(956\) | −0.0767867 | + | 0.316519i | −0.00248346 | + | 0.0102370i | ||||
\(957\) | −7.28968 | + | 10.2369i | −0.235642 | + | 0.330913i | ||||
\(958\) | −20.9589 | + | 13.4695i | −0.677152 | + | 0.435179i | ||||
\(959\) | 7.58994 | + | 9.84416i | 0.245092 | + | 0.317884i | ||||
\(960\) | −4.50697 | − | 31.3467i | −0.145462 | − | 1.01171i | ||||
\(961\) | −86.9590 | + | 8.30358i | −2.80513 | + | 0.267857i | ||||
\(962\) | −3.19393 | − | 2.51174i | −0.102977 | − | 0.0809817i | ||||
\(963\) | 5.70039 | − | 2.93876i | 0.183692 | − | 0.0947001i | ||||
\(964\) | 0.0235656 | − | 0.0680883i | 0.000758997 | − | 0.00219298i | ||||
\(965\) | −70.2638 | −2.26187 | ||||||||
\(966\) | −11.0957 | − | 14.0302i | −0.356999 | − | 0.451416i | ||||
\(967\) | 22.0372 | 0.708670 | 0.354335 | − | 0.935119i | \(-0.384707\pi\) | ||||
0.354335 | + | 0.935119i | \(0.384707\pi\) | |||||||
\(968\) | −5.72909 | + | 16.5531i | −0.184140 | + | 0.532037i | ||||
\(969\) | −32.4242 | + | 16.7158i | −1.04162 | + | 0.536990i | ||||
\(970\) | −1.76995 | − | 1.39191i | −0.0568298 | − | 0.0446915i | ||||
\(971\) | 36.1092 | − | 3.44801i | 1.15880 | − | 0.110652i | 0.502103 | − | 0.864808i | \(-0.332560\pi\) |
0.656696 | + | 0.754156i | \(0.271954\pi\) | |||||||
\(972\) | −0.00180072 | − | 0.0125243i | −5.77581e−5 | − | 0.000401716i | ||||
\(973\) | 0.774908 | − | 1.88311i | 0.0248424 | − | 0.0603696i | ||||
\(974\) | 6.32717 | − | 4.06623i | 0.202736 | − | 0.130290i | ||||
\(975\) | −17.5937 | + | 24.7069i | −0.563450 | + | 0.791255i | ||||
\(976\) | 1.97245 | − | 8.13054i | 0.0631365 | − | 0.260252i | ||||
\(977\) | −12.7905 | − | 36.9558i | −0.409206 | − | 1.18232i | −0.941865 | − | 0.335992i | \(-0.890929\pi\) |
0.532659 | − | 0.846330i | \(-0.321193\pi\) | |||||||
\(978\) | −21.3701 | − | 4.11876i | −0.683342 | − | 0.131703i | ||||
\(979\) | −0.635072 | + | 0.186474i | −0.0202970 | + | 0.00595973i | ||||
\(980\) | −0.0756422 | − | 0.340136i | −0.00241630 | − | 0.0108652i | ||||
\(981\) | −0.626583 | + | 0.402680i | −0.0200052 | + | 0.0128566i | ||||
\(982\) | 8.55657 | + | 35.2706i | 0.273051 | + | 1.12553i | ||||
\(983\) | −42.7884 | − | 17.1299i | −1.36474 | − | 0.546358i | −0.430364 | − | 0.902655i | \(-0.641615\pi\) |
−0.934373 | + | 0.356297i | \(0.884039\pi\) | |||||||
\(984\) | 14.6918 | + | 20.6318i | 0.468358 | + | 0.657717i | ||||
\(985\) | −68.8144 | + | 27.5491i | −2.19261 | + | 0.877788i | ||||
\(986\) | 43.2586 | + | 27.8006i | 1.37764 | + | 0.885352i | ||||
\(987\) | 5.21844 | − | 3.64115i | 0.166105 | − | 0.115899i | ||||
\(988\) | −0.209567 | −0.00666720 | ||||||||
\(989\) | −4.96412 | − | 13.7908i | −0.157850 | − | 0.438522i | ||||
\(990\) | −6.09196 | + | 10.5516i | −0.193615 | + | 0.335351i | ||||
\(991\) | 40.5234 | − | 7.81025i | 1.28727 | − | 0.248101i | 0.500709 | − | 0.865615i | \(-0.333073\pi\) |
0.786559 | + | 0.617515i | \(0.211860\pi\) | |||||||
\(992\) | −0.0370509 | + | 0.777794i | −0.00117637 | + | 0.0246950i | ||||
\(993\) | −3.33228 | + | 23.1765i | −0.105747 | + | 0.735484i | ||||
\(994\) | 0.388697 | − | 40.5468i | 0.0123287 | − | 1.28607i | ||||
\(995\) | 13.6504 | + | 94.9409i | 0.432748 | + | 3.00983i | ||||
\(996\) | −0.0200823 | − | 0.0827804i | −0.000636332 | − | 0.00262300i | ||||
\(997\) | −0.845970 | − | 17.7591i | −0.0267922 | − | 0.562436i | −0.971860 | − | 0.235561i | \(-0.924307\pi\) |
0.945067 | − | 0.326875i | \(-0.105996\pi\) | |||||||
\(998\) | 15.1860 | + | 1.45009i | 0.480705 | + | 0.0459017i | ||||
\(999\) | −0.720539 | − | 0.687033i | −0.0227968 | − | 0.0217367i |
(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 | 483.2.y.a.151.4 | yes | 320 | |
7.2 | even | 3 | inner | 483.2.y.a.289.13 | yes | 320 | |
23.16 | even | 11 | inner | 483.2.y.a.361.13 | yes | 320 | |
161.16 | even | 33 | inner | 483.2.y.a.16.4 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.16.4 | ✓ | 320 | 161.16 | even | 33 | inner | |
483.2.y.a.151.4 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.289.13 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.a.361.13 | yes | 320 | 23.16 | even | 11 | inner |