Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(7,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.l (of order \(44\), 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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 115.7 |
Dual form | 115.2.l.a.33.6 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{19}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.107969 | + | 0.00772212i | −0.0763458 | + | 0.00546036i | −0.109460 | − | 0.993991i | \(-0.534912\pi\) |
0.0331140 | + | 0.999452i | \(0.489458\pi\) | |||||||
\(3\) | 0.390334 | − | 1.79434i | 0.225360 | − | 1.03596i | −0.715880 | − | 0.698223i | \(-0.753974\pi\) |
0.941240 | − | 0.337738i | \(-0.109662\pi\) | |||||||
\(4\) | −1.96805 | + | 0.282962i | −0.984023 | + | 0.141481i | ||||
\(5\) | −2.08676 | − | 0.803398i | −0.933226 | − | 0.359290i | ||||
\(6\) | −0.0282880 | + | 0.196748i | −0.0115485 | + | 0.0803218i | ||||
\(7\) | 2.36052 | − | 4.32296i | 0.892192 | − | 1.63393i | 0.125330 | − | 0.992115i | \(-0.460001\pi\) |
0.766862 | − | 0.641812i | \(-0.221817\pi\) | |||||||
\(8\) | 0.421846 | − | 0.0917670i | 0.149145 | − | 0.0324445i | ||||
\(9\) | −0.338390 | − | 0.154538i | −0.112797 | − | 0.0515125i | ||||
\(10\) | 0.231510 | + | 0.0706281i | 0.0732097 | + | 0.0223346i | ||||
\(11\) | −0.599394 | + | 0.519378i | −0.180724 | + | 0.156598i | −0.740525 | − | 0.672029i | \(-0.765423\pi\) |
0.559801 | + | 0.828627i | \(0.310878\pi\) | |||||||
\(12\) | −0.260466 | + | 3.64179i | −0.0751900 | + | 1.05129i | ||||
\(13\) | −2.17257 | + | 1.18632i | −0.602564 | + | 0.329025i | −0.751410 | − | 0.659836i | \(-0.770626\pi\) |
0.148846 | + | 0.988860i | \(0.452444\pi\) | |||||||
\(14\) | −0.221481 | + | 0.484976i | −0.0591933 | + | 0.129615i | ||||
\(15\) | −2.25610 | + | 3.43075i | −0.582522 | + | 0.885816i | ||||
\(16\) | 3.77065 | − | 1.10716i | 0.942662 | − | 0.276791i | ||||
\(17\) | 3.16383 | + | 4.22639i | 0.767342 | + | 1.02505i | 0.998638 | + | 0.0521660i | \(0.0166125\pi\) |
−0.231296 | + | 0.972883i | \(0.574297\pi\) | |||||||
\(18\) | 0.0377291 | + | 0.0140722i | 0.00889283 | + | 0.00331685i | ||||
\(19\) | −0.409398 | − | 2.84742i | −0.0939222 | − | 0.653244i | −0.981340 | − | 0.192278i | \(-0.938412\pi\) |
0.887418 | − | 0.460965i | \(-0.152497\pi\) | |||||||
\(20\) | 4.33416 | + | 0.990650i | 0.969148 | + | 0.221516i | ||||
\(21\) | −6.83547 | − | 5.92297i | −1.49162 | − | 1.29250i | ||||
\(22\) | 0.0607055 | − | 0.0607055i | 0.0129424 | − | 0.0129424i | ||||
\(23\) | 4.72353 | + | 0.829644i | 0.984923 | + | 0.172993i | ||||
\(24\) | − | 0.792754i | − | 0.161820i | ||||||
\(25\) | 3.70910 | + | 3.35299i | 0.741821 | + | 0.670598i | ||||
\(26\) | 0.225410 | − | 0.144862i | 0.0442066 | − | 0.0284099i | ||||
\(27\) | 2.89199 | − | 3.86324i | 0.556563 | − | 0.743482i | ||||
\(28\) | −3.42237 | + | 9.17573i | −0.646767 | + | 1.73405i | ||||
\(29\) | −3.49570 | − | 0.502606i | −0.649136 | − | 0.0933317i | −0.190122 | − | 0.981761i | \(-0.560888\pi\) |
−0.459014 | + | 0.888429i | \(0.651797\pi\) | |||||||
\(30\) | 0.217097 | − | 0.387838i | 0.0396363 | − | 0.0708091i | ||||
\(31\) | 0.250636 | + | 0.161074i | 0.0450155 | + | 0.0289297i | 0.562955 | − | 0.826488i | \(-0.309664\pi\) |
−0.517940 | + | 0.855417i | \(0.673301\pi\) | |||||||
\(32\) | −1.20755 | + | 0.450393i | −0.213467 | + | 0.0796189i | ||||
\(33\) | 0.697975 | + | 1.27825i | 0.121502 | + | 0.222514i | ||||
\(34\) | −0.374233 | − | 0.431888i | −0.0641805 | − | 0.0740683i | ||||
\(35\) | −8.39888 | + | 7.12454i | −1.41967 | + | 1.20427i | ||||
\(36\) | 0.709695 | + | 0.208385i | 0.118283 | + | 0.0347309i | ||||
\(37\) | −1.35219 | − | 3.62537i | −0.222299 | − | 0.596007i | 0.777146 | − | 0.629321i | \(-0.216667\pi\) |
−0.999445 | + | 0.0333136i | \(0.989394\pi\) | |||||||
\(38\) | 0.0661905 | + | 0.304273i | 0.0107375 | + | 0.0493596i | ||||
\(39\) | 1.28062 | + | 4.36139i | 0.205063 | + | 0.698381i | ||||
\(40\) | −0.954015 | − | 0.147415i | −0.150843 | − | 0.0233083i | ||||
\(41\) | 1.87241 | + | 4.10001i | 0.292422 | + | 0.640315i | 0.997639 | − | 0.0686768i | \(-0.0218777\pi\) |
−0.705217 | + | 0.708991i | \(0.749150\pi\) | |||||||
\(42\) | 0.783758 | + | 0.586714i | 0.120937 | + | 0.0905319i | ||||
\(43\) | 3.72300 | + | 0.809890i | 0.567753 | + | 0.123507i | 0.487274 | − | 0.873249i | \(-0.337991\pi\) |
0.0804789 | + | 0.996756i | \(0.474355\pi\) | |||||||
\(44\) | 1.03267 | − | 1.19177i | 0.155681 | − | 0.179665i | ||||
\(45\) | 0.581983 | + | 0.594344i | 0.0867568 | + | 0.0885996i | ||||
\(46\) | −0.516402 | − | 0.0531004i | −0.0761394 | − | 0.00782923i | ||||
\(47\) | −3.24360 | − | 3.24360i | −0.473127 | − | 0.473127i | 0.429798 | − | 0.902925i | \(-0.358585\pi\) |
−0.902925 | + | 0.429798i | \(0.858585\pi\) | |||||||
\(48\) | −0.514810 | − | 7.19798i | −0.0743064 | − | 1.03894i | ||||
\(49\) | −9.33150 | − | 14.5201i | −1.33307 | − | 2.07430i | ||||
\(50\) | −0.426362 | − | 0.333378i | −0.0602966 | − | 0.0471467i | ||||
\(51\) | 8.81852 | − | 4.02728i | 1.23484 | − | 0.563932i | ||||
\(52\) | 3.94004 | − | 2.94948i | 0.546385 | − | 0.409019i | ||||
\(53\) | 3.74531 | + | 2.04509i | 0.514458 | + | 0.280915i | 0.715433 | − | 0.698681i | \(-0.246229\pi\) |
−0.200975 | + | 0.979596i | \(0.564411\pi\) | |||||||
\(54\) | −0.282413 | + | 0.439444i | −0.0384316 | + | 0.0598007i | ||||
\(55\) | 1.66806 | − | 0.602264i | 0.224921 | − | 0.0812092i | ||||
\(56\) | 0.599069 | − | 2.04024i | 0.0800540 | − | 0.272639i | ||||
\(57\) | −5.26904 | − | 0.376849i | −0.697901 | − | 0.0499149i | ||||
\(58\) | 0.381310 | + | 0.0272718i | 0.0500684 | + | 0.00358097i | ||||
\(59\) | −1.87184 | + | 6.37491i | −0.243693 | + | 0.829943i | 0.743269 | + | 0.668992i | \(0.233274\pi\) |
−0.986962 | + | 0.160951i | \(0.948544\pi\) | |||||||
\(60\) | 3.46933 | − | 7.39026i | 0.447889 | − | 0.954079i | ||||
\(61\) | 5.28454 | − | 8.22290i | 0.676616 | − | 1.05283i | −0.317887 | − | 0.948128i | \(-0.602973\pi\) |
0.994503 | − | 0.104706i | \(-0.0333903\pi\) | |||||||
\(62\) | −0.0283048 | − | 0.0154556i | −0.00359471 | − | 0.00196286i | ||||
\(63\) | −1.46684 | + | 1.09806i | −0.184804 | + | 0.138343i | ||||
\(64\) | −7.02251 | + | 3.20707i | −0.877813 | + | 0.400884i | ||||
\(65\) | 5.48672 | − | 0.730110i | 0.680543 | − | 0.0905590i | ||||
\(66\) | −0.0852307 | − | 0.132622i | −0.0104912 | − | 0.0163246i | ||||
\(67\) | 0.550148 | + | 7.69208i | 0.0672113 | + | 0.939737i | 0.913455 | + | 0.406941i | \(0.133404\pi\) |
−0.846243 | + | 0.532797i | \(0.821141\pi\) | |||||||
\(68\) | −7.42247 | − | 7.42247i | −0.900107 | − | 0.900107i | ||||
\(69\) | 3.33241 | − | 8.15176i | 0.401176 | − | 0.981357i | ||||
\(70\) | 0.851805 | − | 0.834089i | 0.101810 | − | 0.0996927i | ||||
\(71\) | −10.1464 | + | 11.7096i | −1.20416 | + | 1.38967i | −0.304820 | + | 0.952410i | \(0.598596\pi\) |
−0.899335 | + | 0.437260i | \(0.855949\pi\) | |||||||
\(72\) | −0.156930 | − | 0.0341380i | −0.0184944 | − | 0.00402320i | ||||
\(73\) | −3.91486 | − | 2.93063i | −0.458200 | − | 0.343004i | 0.345113 | − | 0.938561i | \(-0.387841\pi\) |
−0.803313 | + | 0.595557i | \(0.796931\pi\) | |||||||
\(74\) | 0.173991 | + | 0.380987i | 0.0202260 | + | 0.0442888i | ||||
\(75\) | 7.46419 | − | 5.34660i | 0.861890 | − | 0.617372i | ||||
\(76\) | 1.61143 | + | 5.48801i | 0.184843 | + | 0.629518i | ||||
\(77\) | 0.830373 | + | 3.81716i | 0.0946297 | + | 0.435006i | ||||
\(78\) | −0.171947 | − | 0.461007i | −0.0194691 | − | 0.0521988i | ||||
\(79\) | 13.6014 | + | 3.99372i | 1.53027 | + | 0.449329i | 0.935134 | − | 0.354294i | \(-0.115279\pi\) |
0.595139 | + | 0.803623i | \(0.297097\pi\) | |||||||
\(80\) | −8.75792 | − | 0.718952i | −0.979165 | − | 0.0803813i | ||||
\(81\) | −6.53396 | − | 7.54059i | −0.725996 | − | 0.837844i | ||||
\(82\) | −0.233824 | − | 0.428217i | −0.0258215 | − | 0.0472886i | ||||
\(83\) | −4.21914 | + | 1.57366i | −0.463111 | + | 0.172731i | −0.570179 | − | 0.821520i | \(-0.693126\pi\) |
0.107068 | + | 0.994252i | \(0.465854\pi\) | |||||||
\(84\) | 15.1285 | + | 9.72249i | 1.65065 | + | 1.06081i | ||||
\(85\) | −3.20668 | − | 11.3613i | −0.347813 | − | 1.23230i | ||||
\(86\) | −0.408224 | − | 0.0586938i | −0.0440199 | − | 0.00632911i | ||||
\(87\) | −2.26634 | + | 6.07629i | −0.242977 | + | 0.651447i | ||||
\(88\) | −0.205190 | + | 0.274102i | −0.0218734 | + | 0.0292194i | ||||
\(89\) | −5.37985 | + | 3.45742i | −0.570263 | + | 0.366486i | −0.793771 | − | 0.608216i | \(-0.791885\pi\) |
0.223508 | + | 0.974702i | \(0.428249\pi\) | |||||||
\(90\) | −0.0674258 | − | 0.0596768i | −0.00710731 | − | 0.00629048i | ||||
\(91\) | 12.1923i | 1.27810i | ||||||||
\(92\) | −9.53087 | − | 0.296197i | −0.993662 | − | 0.0308807i | ||||
\(93\) | 0.386853 | − | 0.386853i | 0.0401148 | − | 0.0401148i | ||||
\(94\) | 0.375256 | + | 0.325161i | 0.0387047 | + | 0.0335378i | ||||
\(95\) | −1.43330 | + | 6.27079i | −0.147053 | + | 0.643369i | ||||
\(96\) | 0.336809 | + | 2.34255i | 0.0343754 | + | 0.239086i | ||||
\(97\) | 3.64812 | + | 1.36068i | 0.370411 | + | 0.138156i | 0.527774 | − | 0.849385i | \(-0.323027\pi\) |
−0.157364 | + | 0.987541i | \(0.550299\pi\) | |||||||
\(98\) | 1.11964 | + | 1.49567i | 0.113101 | + | 0.151085i | ||||
\(99\) | 0.283093 | − | 0.0831235i | 0.0284519 | − | 0.00835422i | ||||
\(100\) | −8.24845 | − | 5.54930i | −0.824845 | − | 0.554930i | ||||
\(101\) | 1.09056 | − | 2.38800i | 0.108515 | − | 0.237615i | −0.847582 | − | 0.530664i | \(-0.821943\pi\) |
0.956097 | + | 0.293049i | \(0.0946700\pi\) | |||||||
\(102\) | −0.921030 | + | 0.502920i | −0.0911955 | + | 0.0497965i | ||||
\(103\) | 0.810011 | − | 11.3254i | 0.0798128 | − | 1.11593i | −0.786886 | − | 0.617098i | \(-0.788308\pi\) |
0.866699 | − | 0.498831i | \(-0.166237\pi\) | |||||||
\(104\) | −0.807627 | + | 0.699813i | −0.0791944 | + | 0.0686223i | ||||
\(105\) | 9.50546 | + | 17.8514i | 0.927638 | + | 1.74212i | ||||
\(106\) | −0.420171 | − | 0.191886i | −0.0408106 | − | 0.0186376i | ||||
\(107\) | 9.64444 | − | 2.09802i | 0.932363 | − | 0.202823i | 0.279367 | − | 0.960184i | \(-0.409875\pi\) |
0.652996 | + | 0.757361i | \(0.273512\pi\) | |||||||
\(108\) | −4.59841 | + | 8.42136i | −0.442482 | + | 0.810346i | ||||
\(109\) | −2.53793 | + | 17.6517i | −0.243090 | + | 1.69073i | 0.393340 | + | 0.919393i | \(0.371319\pi\) |
−0.636430 | + | 0.771334i | \(0.719590\pi\) | |||||||
\(110\) | −0.175448 | + | 0.0779069i | −0.0167283 | + | 0.00742813i | ||||
\(111\) | −7.03294 | + | 1.01118i | −0.667537 | + | 0.0959774i | ||||
\(112\) | 4.11446 | − | 18.9139i | 0.388780 | − | 1.78719i | ||||
\(113\) | 16.2938 | − | 1.16536i | 1.53280 | − | 0.109628i | 0.720739 | − | 0.693206i | \(-0.243802\pi\) |
0.812057 | + | 0.583578i | \(0.198348\pi\) | |||||||
\(114\) | 0.571804 | 0.0535544 | ||||||||
\(115\) | −9.19031 | − | 5.52613i | −0.857001 | − | 0.515315i | ||||
\(116\) | 7.02192 | 0.651969 | ||||||||
\(117\) | 0.918508 | − | 0.0656930i | 0.0849161 | − | 0.00607332i | ||||
\(118\) | 0.152874 | − | 0.702749i | 0.0140732 | − | 0.0646933i | ||||
\(119\) | 25.7388 | − | 3.70068i | 2.35947 | − | 0.339241i | ||||
\(120\) | −0.636897 | + | 1.65428i | −0.0581404 | + | 0.151015i | ||||
\(121\) | −1.47594 | + | 10.2654i | −0.134177 | + | 0.933219i | ||||
\(122\) | −0.507070 | + | 0.928629i | −0.0459079 | + | 0.0840741i | ||||
\(123\) | 8.08768 | − | 1.75937i | 0.729241 | − | 0.158637i | ||||
\(124\) | −0.538841 | − | 0.246080i | −0.0483893 | − | 0.0220987i | ||||
\(125\) | −5.04621 | − | 9.97676i | −0.451347 | − | 0.892348i | ||||
\(126\) | 0.149894 | − | 0.129884i | 0.0133536 | − | 0.0115710i | ||||
\(127\) | −0.709390 | + | 9.91857i | −0.0629482 | + | 0.880131i | 0.863653 | + | 0.504086i | \(0.168171\pi\) |
−0.926602 | + | 0.376045i | \(0.877284\pi\) | |||||||
\(128\) | 2.99577 | − | 1.63581i | 0.264791 | − | 0.144587i | ||||
\(129\) | 2.90643 | − | 6.36420i | 0.255897 | − | 0.560336i | ||||
\(130\) | −0.586759 | + | 0.121199i | −0.0514621 | + | 0.0106298i | ||||
\(131\) | −11.5421 | + | 3.38907i | −1.00844 | + | 0.296105i | −0.743915 | − | 0.668274i | \(-0.767033\pi\) |
−0.264525 | + | 0.964379i | \(0.585215\pi\) | |||||||
\(132\) | −1.73534 | − | 2.31815i | −0.151042 | − | 0.201769i | ||||
\(133\) | −13.2757 | − | 4.95158i | −1.15115 | − | 0.429356i | ||||
\(134\) | −0.118798 | − | 0.826260i | −0.0102626 | − | 0.0713780i | ||||
\(135\) | −9.13859 | + | 5.73823i | −0.786525 | + | 0.493868i | ||||
\(136\) | 1.72249 | + | 1.49255i | 0.147703 | + | 0.127985i | ||||
\(137\) | −8.24135 | + | 8.24135i | −0.704106 | + | 0.704106i | −0.965289 | − | 0.261184i | \(-0.915887\pi\) |
0.261184 | + | 0.965289i | \(0.415887\pi\) | |||||||
\(138\) | −0.296850 | + | 0.905873i | −0.0252695 | + | 0.0771130i | ||||
\(139\) | 10.2903i | 0.872812i | 0.899750 | + | 0.436406i | \(0.143749\pi\) | ||||
−0.899750 | + | 0.436406i | \(0.856251\pi\) | |||||||
\(140\) | 14.5134 | − | 16.3980i | 1.22661 | − | 1.38588i | ||||
\(141\) | −7.08619 | + | 4.55402i | −0.596765 | + | 0.383518i | ||||
\(142\) | 1.00508 | − | 1.34262i | 0.0843441 | − | 0.112671i | ||||
\(143\) | 0.686082 | − | 1.83946i | 0.0573731 | − | 0.153823i | ||||
\(144\) | −1.44705 | − | 0.208054i | −0.120587 | − | 0.0173378i | ||||
\(145\) | 6.89089 | + | 3.85726i | 0.572257 | + | 0.320328i | ||||
\(146\) | 0.445316 | + | 0.286187i | 0.0368546 | + | 0.0236850i | ||||
\(147\) | −29.6963 | + | 11.0762i | −2.44931 | + | 0.913547i | ||||
\(148\) | 3.68702 | + | 6.75227i | 0.303071 | + | 0.555033i | ||||
\(149\) | −5.87592 | − | 6.78117i | −0.481374 | − | 0.555535i | 0.462166 | − | 0.886793i | \(-0.347072\pi\) |
−0.943540 | + | 0.331258i | \(0.892527\pi\) | |||||||
\(150\) | −0.764616 | + | 0.634908i | −0.0624306 | + | 0.0518400i | ||||
\(151\) | −4.52333 | − | 1.32817i | −0.368103 | − | 0.108085i | 0.0924491 | − | 0.995717i | \(-0.470530\pi\) |
−0.460552 | + | 0.887633i | \(0.652349\pi\) | |||||||
\(152\) | −0.434002 | − | 1.16360i | −0.0352022 | − | 0.0943808i | ||||
\(153\) | −0.417474 | − | 1.91910i | −0.0337508 | − | 0.155150i | ||||
\(154\) | −0.119131 | − | 0.405724i | −0.00959987 | − | 0.0326942i | ||||
\(155\) | −0.393610 | − | 0.537482i | −0.0316155 | − | 0.0431716i | ||||
\(156\) | −3.75443 | − | 8.22105i | −0.300595 | − | 0.658210i | ||||
\(157\) | 1.06265 | + | 0.795493i | 0.0848091 | + | 0.0634873i | 0.640841 | − | 0.767674i | \(-0.278586\pi\) |
−0.556032 | + | 0.831161i | \(0.687677\pi\) | |||||||
\(158\) | −1.49937 | − | 0.326168i | −0.119283 | − | 0.0259485i | ||||
\(159\) | 5.13151 | − | 5.92208i | 0.406955 | − | 0.469652i | ||||
\(160\) | 2.88171 | + | 0.0302825i | 0.227819 | + | 0.00239404i | ||||
\(161\) | 14.7365 | − | 18.4612i | 1.16140 | − | 1.45495i | ||||
\(162\) | 0.763696 | + | 0.763696i | 0.0600016 | + | 0.0600016i | ||||
\(163\) | 0.159208 | + | 2.22602i | 0.0124702 | + | 0.174356i | 0.999870 | + | 0.0161116i | \(0.00512871\pi\) |
−0.987400 | + | 0.158244i | \(0.949417\pi\) | |||||||
\(164\) | −4.84514 | − | 7.53919i | −0.378342 | − | 0.588712i | ||||
\(165\) | −0.429565 | − | 3.22814i | −0.0334416 | − | 0.251310i | ||||
\(166\) | 0.443386 | − | 0.202487i | 0.0344134 | − | 0.0157161i | ||||
\(167\) | 12.4948 | − | 9.35351i | 0.966878 | − | 0.723796i | 0.00577449 | − | 0.999983i | \(-0.498162\pi\) |
0.961104 | + | 0.276187i | \(0.0890710\pi\) | |||||||
\(168\) | −3.42705 | − | 1.87131i | −0.264402 | − | 0.144375i | ||||
\(169\) | −3.71560 | + | 5.78158i | −0.285815 | + | 0.444737i | ||||
\(170\) | 0.433956 | + | 1.20190i | 0.0332829 | + | 0.0921818i | ||||
\(171\) | −0.301498 | + | 1.02681i | −0.0230561 | + | 0.0785219i | ||||
\(172\) | −7.55621 | − | 0.540431i | −0.576155 | − | 0.0412074i | ||||
\(173\) | −3.66026 | − | 0.261787i | −0.278285 | − | 0.0199033i | −0.0685006 | − | 0.997651i | \(-0.521822\pi\) |
−0.209784 | + | 0.977748i | \(0.567276\pi\) | |||||||
\(174\) | 0.197773 | − | 0.673554i | 0.0149931 | − | 0.0510620i | ||||
\(175\) | 23.2503 | − | 8.11954i | 1.75755 | − | 0.613779i | ||||
\(176\) | −1.68507 | + | 2.62202i | −0.127017 | + | 0.197642i | ||||
\(177\) | 10.7081 | + | 5.84707i | 0.804870 | + | 0.439492i | ||||
\(178\) | 0.554160 | − | 0.414839i | 0.0415361 | − | 0.0310935i | ||||
\(179\) | 9.98011 | − | 4.55776i | 0.745949 | − | 0.340663i | −0.00591453 | − | 0.999983i | \(-0.501883\pi\) |
0.751863 | + | 0.659319i | \(0.229155\pi\) | |||||||
\(180\) | −1.31354 | − | 1.00502i | −0.0979059 | − | 0.0749095i | ||||
\(181\) | −1.60058 | − | 2.49055i | −0.118970 | − | 0.185121i | 0.776661 | − | 0.629919i | \(-0.216912\pi\) |
−0.895631 | + | 0.444798i | \(0.853276\pi\) | |||||||
\(182\) | −0.0941502 | − | 1.31639i | −0.00697888 | − | 0.0975774i | ||||
\(183\) | −12.6919 | − | 12.6919i | −0.938214 | − | 0.938214i | ||||
\(184\) | 2.06873 | − | 0.0834818i | 0.152509 | − | 0.00615436i | ||||
\(185\) | −0.0909157 | + | 8.65161i | −0.00668426 | + | 0.636079i | ||||
\(186\) | −0.0387809 | + | 0.0447555i | −0.00284355 | + | 0.00328163i | ||||
\(187\) | −4.09148 | − | 0.890046i | −0.299198 | − | 0.0650866i | ||||
\(188\) | 7.30136 | + | 5.46573i | 0.532506 | + | 0.398629i | ||||
\(189\) | −9.87408 | − | 21.6212i | −0.718233 | − | 1.57271i | ||||
\(190\) | 0.106329 | − | 0.688120i | 0.00771389 | − | 0.0499215i | ||||
\(191\) | −5.69734 | − | 19.4034i | −0.412245 | − | 1.40398i | −0.860216 | − | 0.509929i | \(-0.829672\pi\) |
0.447971 | − | 0.894048i | \(-0.352147\pi\) | |||||||
\(192\) | 3.01344 | + | 13.8526i | 0.217477 | + | 0.999724i | ||||
\(193\) | −5.12298 | − | 13.7353i | −0.368760 | − | 0.988685i | −0.980308 | − | 0.197477i | \(-0.936725\pi\) |
0.611547 | − | 0.791208i | \(-0.290547\pi\) | |||||||
\(194\) | −0.404392 | − | 0.118740i | −0.0290337 | − | 0.00852506i | ||||
\(195\) | 0.831589 | − | 10.1300i | 0.0595513 | − | 0.725425i | ||||
\(196\) | 22.4734 | + | 25.9357i | 1.60525 | + | 1.85255i | ||||
\(197\) | −4.13395 | − | 7.57076i | −0.294531 | − | 0.539394i | 0.687949 | − | 0.725759i | \(-0.258511\pi\) |
−0.982481 | + | 0.186365i | \(0.940329\pi\) | |||||||
\(198\) | −0.0299234 | + | 0.0111609i | −0.00212656 | + | 0.000793167i | ||||
\(199\) | −5.12646 | − | 3.29457i | −0.363405 | − | 0.233546i | 0.346177 | − | 0.938169i | \(-0.387480\pi\) |
−0.709582 | + | 0.704623i | \(0.751116\pi\) | |||||||
\(200\) | 1.87236 | + | 1.07407i | 0.132396 | + | 0.0759484i | ||||
\(201\) | 14.0169 | + | 2.01533i | 0.988678 | + | 0.142150i | ||||
\(202\) | −0.0993068 | + | 0.266252i | −0.00698720 | + | 0.0187334i | ||||
\(203\) | −10.4244 | + | 13.9254i | −0.731651 | + | 0.977371i | ||||
\(204\) | −16.2157 | + | 10.4212i | −1.13532 | + | 0.729628i | ||||
\(205\) | −0.613330 | − | 10.0600i | −0.0428368 | − | 0.702622i | ||||
\(206\) | 1.22905i | 0.0856323i | ||||||||
\(207\) | −1.47018 | − | 1.01071i | −0.102185 | − | 0.0702489i | ||||
\(208\) | −6.87857 | + | 6.87857i | −0.476943 | + | 0.476943i | ||||
\(209\) | 1.72428 | + | 1.49410i | 0.119271 | + | 0.103349i | ||||
\(210\) | −1.16415 | − | 1.85400i | −0.0803338 | − | 0.127938i | ||||
\(211\) | 2.23555 | + | 15.5486i | 0.153901 | + | 1.07041i | 0.909599 | + | 0.415487i | \(0.136389\pi\) |
−0.755698 | + | 0.654921i | \(0.772702\pi\) | |||||||
\(212\) | −7.94963 | − | 2.96506i | −0.545983 | − | 0.203641i | ||||
\(213\) | 17.0504 | + | 22.7767i | 1.16828 | + | 1.56063i | ||||
\(214\) | −1.02510 | + | 0.300997i | −0.0700745 | + | 0.0205757i | ||||
\(215\) | −7.11834 | − | 4.68109i | −0.485467 | − | 0.319248i | ||||
\(216\) | 0.865455 | − | 1.89508i | 0.0588868 | − | 0.128944i | ||||
\(217\) | 1.28795 | − | 0.703272i | 0.0874316 | − | 0.0477412i | ||||
\(218\) | 0.137710 | − | 1.92544i | 0.00932691 | − | 0.130407i | ||||
\(219\) | −6.78664 | + | 5.88066i | −0.458599 | + | 0.397378i | ||||
\(220\) | −3.11239 | + | 1.65728i | −0.209838 | + | 0.111734i | ||||
\(221\) | −11.8875 | − | 5.42883i | −0.799639 | − | 0.365183i | ||||
\(222\) | 0.751533 | − | 0.163486i | 0.0504396 | − | 0.0109725i | ||||
\(223\) | 4.03383 | − | 7.38740i | 0.270125 | − | 0.494697i | −0.707042 | − | 0.707172i | \(-0.749971\pi\) |
0.977166 | + | 0.212475i | \(0.0681524\pi\) | |||||||
\(224\) | −0.903410 | + | 6.28335i | −0.0603616 | + | 0.419824i | ||||
\(225\) | −0.736961 | − | 1.70781i | −0.0491308 | − | 0.113854i | ||||
\(226\) | −1.75024 | + | 0.251646i | −0.116424 | + | 0.0167392i | ||||
\(227\) | 1.18769 | − | 5.45972i | 0.0788298 | − | 0.362375i | −0.920787 | − | 0.390066i | \(-0.872452\pi\) |
0.999617 | + | 0.0276918i | \(0.00881571\pi\) | |||||||
\(228\) | 10.4763 | − | 0.749283i | 0.693813 | − | 0.0496225i | ||||
\(229\) | 17.9294 | 1.18481 | 0.592406 | − | 0.805640i | \(-0.298178\pi\) | ||||
0.592406 | + | 0.805640i | \(0.298178\pi\) | |||||||
\(230\) | 1.03494 | + | 0.525684i | 0.0682422 | + | 0.0346626i | ||||
\(231\) | 7.17340 | 0.471975 | ||||||||
\(232\) | −1.52077 | + | 0.108768i | −0.0998436 | + | 0.00714095i | ||||
\(233\) | −4.15019 | + | 19.0781i | −0.271888 | + | 1.24985i | 0.615245 | + | 0.788336i | \(0.289057\pi\) |
−0.887133 | + | 0.461513i | \(0.847307\pi\) | |||||||
\(234\) | −0.0986633 | + | 0.0141856i | −0.00644982 | + | 0.000927345i | ||||
\(235\) | 4.16270 | + | 9.37449i | 0.271544 | + | 0.611524i | ||||
\(236\) | 1.88001 | − | 13.0758i | 0.122378 | − | 0.851161i | ||||
\(237\) | 12.4752 | − | 22.8465i | 0.810349 | − | 1.48404i | ||||
\(238\) | −2.75042 | + | 0.598318i | −0.178283 | + | 0.0387832i | ||||
\(239\) | 5.20394 | + | 2.37656i | 0.336615 | + | 0.153727i | 0.576550 | − | 0.817062i | \(-0.304399\pi\) |
−0.239935 | + | 0.970789i | \(0.577126\pi\) | |||||||
\(240\) | −4.70856 | + | 15.4340i | −0.303936 | + | 0.996262i | ||||
\(241\) | −11.1657 | + | 9.67514i | −0.719246 | + | 0.623230i | −0.935591 | − | 0.353087i | \(-0.885132\pi\) |
0.216344 | + | 0.976317i | \(0.430587\pi\) | |||||||
\(242\) | 0.0800858 | − | 1.11975i | 0.00514811 | − | 0.0719800i | ||||
\(243\) | −3.37431 | + | 1.84251i | −0.216462 | + | 0.118197i | ||||
\(244\) | −8.07344 | + | 17.6784i | −0.516849 | + | 1.13174i | ||||
\(245\) | 7.80715 | + | 37.7968i | 0.498781 | + | 2.41475i | ||||
\(246\) | −0.859634 | + | 0.252411i | −0.0548083 | + | 0.0160932i | ||||
\(247\) | 4.26739 | + | 5.70056i | 0.271527 | + | 0.362718i | ||||
\(248\) | 0.120511 | + | 0.0449483i | 0.00765246 | + | 0.00285422i | ||||
\(249\) | 1.17680 | + | 8.18482i | 0.0745766 | + | 0.518692i | ||||
\(250\) | 0.621878 | + | 1.03822i | 0.0393310 | + | 0.0656625i | ||||
\(251\) | −11.2092 | − | 9.71281i | −0.707517 | − | 0.613067i | 0.224930 | − | 0.974375i | \(-0.427785\pi\) |
−0.932446 | + | 0.361308i | \(0.882330\pi\) | |||||||
\(252\) | 2.57609 | − | 2.57609i | 0.162278 | − | 0.162278i | ||||
\(253\) | −3.26215 | + | 1.95601i | −0.205090 | + | 0.122973i | ||||
\(254\) | − | 1.07638i | − | 0.0675380i | ||||||
\(255\) | −21.6376 | + | 1.31918i | −1.35500 | + | 0.0826103i | ||||
\(256\) | 12.6784 | − | 8.14792i | 0.792401 | − | 0.509245i | ||||
\(257\) | 8.50171 | − | 11.3570i | 0.530322 | − | 0.708427i | −0.452752 | − | 0.891637i | \(-0.649558\pi\) |
0.983074 | + | 0.183209i | \(0.0586486\pi\) | |||||||
\(258\) | −0.264660 | + | 0.709581i | −0.0164770 | + | 0.0441766i | ||||
\(259\) | −18.8642 | − | 2.71226i | −1.17217 | − | 0.168532i | ||||
\(260\) | −10.5915 | + | 2.98942i | −0.656858 | + | 0.185396i | ||||
\(261\) | 1.10524 | + | 0.710295i | 0.0684127 | + | 0.0439661i | ||||
\(262\) | 1.22002 | − | 0.455045i | 0.0753733 | − | 0.0281128i | ||||
\(263\) | −8.25499 | − | 15.1179i | −0.509024 | − | 0.932209i | −0.998197 | − | 0.0600217i | \(-0.980883\pi\) |
0.489173 | − | 0.872187i | \(-0.337299\pi\) | |||||||
\(264\) | 0.411739 | + | 0.475172i | 0.0253408 | + | 0.0292448i | ||||
\(265\) | −6.17253 | − | 7.27659i | −0.379175 | − | 0.446997i | ||||
\(266\) | 1.47160 | + | 0.432102i | 0.0902298 | + | 0.0264939i | ||||
\(267\) | 4.10384 | + | 11.0028i | 0.251151 | + | 0.673362i | ||||
\(268\) | −3.25928 | − | 14.9827i | −0.199093 | − | 0.915213i | ||||
\(269\) | −1.46335 | − | 4.98370i | −0.0892218 | − | 0.303862i | 0.902777 | − | 0.430109i | \(-0.141525\pi\) |
−0.991999 | + | 0.126247i | \(0.959707\pi\) | |||||||
\(270\) | 0.942376 | − | 0.690122i | 0.0573512 | − | 0.0419995i | ||||
\(271\) | 0.696019 | + | 1.52407i | 0.0422801 | + | 0.0925806i | 0.929593 | − | 0.368586i | \(-0.120158\pi\) |
−0.887313 | + | 0.461167i | \(0.847431\pi\) | |||||||
\(272\) | 16.6090 | + | 12.4333i | 1.00707 | + | 0.753882i | ||||
\(273\) | 21.8771 | + | 4.75906i | 1.32406 | + | 0.288032i | ||||
\(274\) | 0.826171 | − | 0.953453i | 0.0499108 | − | 0.0576002i | ||||
\(275\) | −3.96469 | − | 0.0833353i | −0.239080 | − | 0.00502531i | ||||
\(276\) | −4.25170 | + | 16.9860i | −0.255922 | + | 1.02244i | ||||
\(277\) | −15.8354 | − | 15.8354i | −0.951459 | − | 0.951459i | 0.0474157 | − | 0.998875i | \(-0.484901\pi\) |
−0.998875 | + | 0.0474157i | \(0.984901\pi\) | |||||||
\(278\) | −0.0794629 | − | 1.11104i | −0.00476587 | − | 0.0666356i | ||||
\(279\) | −0.0599207 | − | 0.0932385i | −0.00358736 | − | 0.00558204i | ||||
\(280\) | −2.88924 | + | 3.77620i | −0.172665 | + | 0.225671i | ||||
\(281\) | −1.97290 | + | 0.900995i | −0.117694 | + | 0.0537488i | −0.473392 | − | 0.880852i | \(-0.656970\pi\) |
0.355698 | + | 0.934601i | \(0.384243\pi\) | |||||||
\(282\) | 0.729924 | − | 0.546415i | 0.0434664 | − | 0.0325385i | ||||
\(283\) | 21.9077 | + | 11.9625i | 1.30228 | + | 0.711099i | 0.972488 | − | 0.232955i | \(-0.0748394\pi\) |
0.329792 | + | 0.944053i | \(0.393021\pi\) | |||||||
\(284\) | 16.6552 | − | 25.9160i | 0.988304 | − | 1.53783i | ||||
\(285\) | 10.6924 | + | 5.01953i | 0.633366 | + | 0.297331i | ||||
\(286\) | −0.0598713 | + | 0.203903i | −0.00354026 | + | 0.0120570i | ||||
\(287\) | 22.1441 | + | 1.58378i | 1.30712 | + | 0.0934873i | ||||
\(288\) | 0.478225 | + | 0.0342034i | 0.0281797 | + | 0.00201545i | ||||
\(289\) | −3.06305 | + | 10.4318i | −0.180179 | + | 0.613635i | ||||
\(290\) | −0.773791 | − | 0.363253i | −0.0454386 | − | 0.0213310i | ||||
\(291\) | 3.86550 | − | 6.01484i | 0.226600 | − | 0.352596i | ||||
\(292\) | 8.53389 | + | 4.65985i | 0.499408 | + | 0.272697i | ||||
\(293\) | 1.22235 | − | 0.915037i | 0.0714102 | − | 0.0534570i | −0.562976 | − | 0.826473i | \(-0.690344\pi\) |
0.634386 | + | 0.773016i | \(0.281253\pi\) | |||||||
\(294\) | 3.12076 | − | 1.42520i | 0.182007 | − | 0.0831196i | ||||
\(295\) | 9.02767 | − | 11.7991i | 0.525611 | − | 0.686968i | ||||
\(296\) | −0.903106 | − | 1.40526i | −0.0524920 | − | 0.0816791i | ||||
\(297\) | 0.273043 | + | 3.81764i | 0.0158436 | + | 0.221522i | ||||
\(298\) | 0.686784 | + | 0.686784i | 0.0397843 | + | 0.0397843i | ||||
\(299\) | −11.2464 | + | 3.80113i | −0.650398 | + | 0.219825i | ||||
\(300\) | −13.1770 | + | 12.6344i | −0.760773 | + | 0.729449i | ||||
\(301\) | 12.2893 | − | 14.1827i | 0.708346 | − | 0.817475i | ||||
\(302\) | 0.498637 | + | 0.108472i | 0.0286933 | + | 0.00624185i | ||||
\(303\) | −3.85919 | − | 2.88895i | −0.221705 | − | 0.165966i | ||||
\(304\) | −4.69625 | − | 10.2834i | −0.269349 | − | 0.589791i | ||||
\(305\) | −17.6338 | + | 12.9136i | −1.00971 | + | 0.739431i | ||||
\(306\) | 0.0598939 | + | 0.203980i | 0.00342391 | + | 0.0116608i | ||||
\(307\) | −1.32106 | − | 6.07281i | −0.0753968 | − | 0.346594i | 0.923959 | − | 0.382492i | \(-0.124934\pi\) |
−0.999355 | + | 0.0358989i | \(0.988571\pi\) | |||||||
\(308\) | −2.71432 | − | 7.27738i | −0.154663 | − | 0.414667i | ||||
\(309\) | −20.0055 | − | 5.87414i | −1.13807 | − | 0.334168i | ||||
\(310\) | 0.0466483 | + | 0.0549921i | 0.00264944 | + | 0.00312334i | ||||
\(311\) | 2.69973 | + | 3.11566i | 0.153088 | + | 0.176673i | 0.827113 | − | 0.562035i | \(-0.189982\pi\) |
−0.674025 | + | 0.738708i | \(0.735436\pi\) | |||||||
\(312\) | 0.940456 | + | 1.72232i | 0.0532428 | + | 0.0975070i | ||||
\(313\) | 4.78149 | − | 1.78340i | 0.270266 | − | 0.100804i | −0.210677 | − | 0.977556i | \(-0.567567\pi\) |
0.480943 | + | 0.876752i | \(0.340294\pi\) | |||||||
\(314\) | −0.120877 | − | 0.0776829i | −0.00682148 | − | 0.00438390i | ||||
\(315\) | 3.94311 | − | 1.11293i | 0.222169 | − | 0.0627065i | ||||
\(316\) | −27.8982 | − | 4.01115i | −1.56939 | − | 0.225645i | ||||
\(317\) | −10.9358 | + | 29.3201i | −0.614218 | + | 1.64678i | 0.139995 | + | 0.990152i | \(0.455291\pi\) |
−0.754213 | + | 0.656630i | \(0.771982\pi\) | |||||||
\(318\) | −0.508315 | + | 0.679029i | −0.0285049 | + | 0.0380781i | ||||
\(319\) | 2.35635 | − | 1.51433i | 0.131930 | − | 0.0847864i | ||||
\(320\) | 17.2308 | − | 1.05051i | 0.963232 | − | 0.0587254i | ||||
\(321\) | − | 18.1243i | − | 1.01160i | ||||||
\(322\) | −1.44853 | + | 2.10704i | −0.0807233 | + | 0.117421i | ||||
\(323\) | 10.7390 | − | 10.7390i | 0.597536 | − | 0.597536i | ||||
\(324\) | 14.9928 | + | 12.9914i | 0.832935 | + | 0.721742i | ||||
\(325\) | −12.0360 | − | 2.88445i | −0.667638 | − | 0.160001i | ||||
\(326\) | −0.0343792 | − | 0.239113i | −0.00190409 | − | 0.0132432i | ||||
\(327\) | 30.6825 | + | 11.4440i | 1.69675 | + | 0.632853i | ||||
\(328\) | 1.16612 | + | 1.55775i | 0.0643880 | + | 0.0860123i | ||||
\(329\) | −21.6785 | + | 6.36539i | −1.19518 | + | 0.350935i | ||||
\(330\) | 0.0713078 | + | 0.345223i | 0.00392537 | + | 0.0190039i | ||||
\(331\) | 8.14271 | − | 17.8300i | 0.447564 | − | 0.980028i | −0.542584 | − | 0.840002i | \(-0.682554\pi\) |
0.990148 | − | 0.140026i | \(-0.0447187\pi\) | |||||||
\(332\) | 7.85818 | − | 4.29089i | 0.431273 | − | 0.235493i | ||||
\(333\) | −0.102687 | + | 1.43575i | −0.00562722 | + | 0.0786788i | ||||
\(334\) | −1.27683 | + | 1.10638i | −0.0698649 | + | 0.0605383i | ||||
\(335\) | 5.03177 | − | 16.4935i | 0.274915 | − | 0.901135i | ||||
\(336\) | −32.3318 | − | 14.7655i | −1.76385 | − | 0.805522i | ||||
\(337\) | −13.3225 | + | 2.89813i | −0.725722 | + | 0.157871i | −0.560226 | − | 0.828340i | \(-0.689286\pi\) |
−0.165495 | + | 0.986211i | \(0.552922\pi\) | |||||||
\(338\) | 0.356524 | − | 0.652925i | 0.0193924 | − | 0.0355145i | ||||
\(339\) | 4.26900 | − | 29.6915i | 0.231860 | − | 1.61262i | ||||
\(340\) | 9.52570 | + | 21.4521i | 0.516604 | + | 1.16340i | ||||
\(341\) | −0.233888 | + | 0.0336280i | −0.0126657 | + | 0.00182106i | ||||
\(342\) | 0.0246234 | − | 0.113192i | 0.00133148 | − | 0.00612071i | ||||
\(343\) | −50.4067 | + | 3.60516i | −2.72171 | + | 0.194660i | ||||
\(344\) | 1.64486 | 0.0886846 | ||||||||
\(345\) | −13.5030 | + | 14.3335i | −0.726979 | + | 0.771689i | ||||
\(346\) | 0.397217 | 0.0213545 | ||||||||
\(347\) | −24.0519 | + | 1.72022i | −1.29117 | + | 0.0923465i | −0.699967 | − | 0.714175i | \(-0.746802\pi\) |
−0.591205 | + | 0.806521i | \(0.701348\pi\) | |||||||
\(348\) | 2.74090 | − | 12.5997i | 0.146928 | − | 0.675415i | ||||
\(349\) | −16.4605 | + | 2.36666i | −0.881108 | + | 0.126684i | −0.567996 | − | 0.823032i | \(-0.692281\pi\) |
−0.313113 | + | 0.949716i | \(0.601372\pi\) | |||||||
\(350\) | −2.44761 | + | 1.05620i | −0.130830 | + | 0.0564564i | ||||
\(351\) | −1.70003 | + | 11.8240i | −0.0907411 | + | 0.631118i | ||||
\(352\) | 0.489874 | − | 0.897137i | 0.0261104 | − | 0.0478176i | ||||
\(353\) | −3.24562 | + | 0.706041i | −0.172747 | + | 0.0375787i | −0.298107 | − | 0.954533i | \(-0.596355\pi\) |
0.125360 | + | 0.992111i | \(0.459991\pi\) | |||||||
\(354\) | −1.20130 | − | 0.548614i | −0.0638483 | − | 0.0291585i | ||||
\(355\) | 30.5805 | − | 16.2834i | 1.62304 | − | 0.864234i | ||||
\(356\) | 9.60947 | − | 8.32666i | 0.509301 | − | 0.441312i | ||||
\(357\) | 3.40647 | − | 47.6286i | 0.180289 | − | 2.52077i | ||||
\(358\) | −1.04235 | + | 0.569166i | −0.0550899 | + | 0.0300814i | ||||
\(359\) | 12.7982 | − | 28.0241i | 0.675462 | − | 1.47906i | −0.191918 | − | 0.981411i | \(-0.561471\pi\) |
0.867380 | − | 0.497646i | \(-0.165802\pi\) | |||||||
\(360\) | 0.300048 | + | 0.197315i | 0.0158139 | + | 0.0103994i | ||||
\(361\) | 10.2902 | − | 3.02146i | 0.541587 | − | 0.159024i | ||||
\(362\) | 0.192046 | + | 0.256543i | 0.0100937 | + | 0.0134836i | ||||
\(363\) | 17.8435 | + | 6.65528i | 0.936541 | + | 0.349312i | ||||
\(364\) | −3.44995 | − | 23.9950i | −0.180827 | − | 1.25768i | ||||
\(365\) | 5.81491 | + | 9.26070i | 0.304366 | + | 0.484727i | ||||
\(366\) | 1.46835 | + | 1.27233i | 0.0767517 | + | 0.0665057i | ||||
\(367\) | −19.6376 | + | 19.6376i | −1.02508 | + | 1.02508i | −0.0253980 | + | 0.999677i | \(0.508085\pi\) |
−0.999677 | + | 0.0253980i | \(0.991915\pi\) | |||||||
\(368\) | 18.7293 | − | 2.10142i | 0.976333 | − | 0.109544i | ||||
\(369\) | − | 1.67676i | − | 0.0872888i | ||||||
\(370\) | −0.0569926 | − | 0.934810i | −0.00296291 | − | 0.0485985i | ||||
\(371\) | 17.6817 | − | 11.3634i | 0.917990 | − | 0.589957i | ||||
\(372\) | −0.651879 | + | 0.870808i | −0.0337984 | + | 0.0451493i | ||||
\(373\) | −2.50161 | + | 6.70708i | −0.129529 | + | 0.347280i | −0.985484 | − | 0.169771i | \(-0.945697\pi\) |
0.855955 | + | 0.517050i | \(0.172970\pi\) | |||||||
\(374\) | 0.448627 | + | 0.0645028i | 0.0231979 | + | 0.00333536i | ||||
\(375\) | −19.8714 | + | 5.16034i | −1.02615 | + | 0.266479i | ||||
\(376\) | −1.66595 | − | 1.07064i | −0.0859150 | − | 0.0552142i | ||||
\(377\) | 8.19093 | − | 3.05506i | 0.421854 | − | 0.157343i | ||||
\(378\) | 1.23306 | + | 2.25818i | 0.0634217 | + | 0.116148i | ||||
\(379\) | 8.34078 | + | 9.62577i | 0.428437 | + | 0.494443i | 0.928389 | − | 0.371611i | \(-0.121194\pi\) |
−0.499952 | + | 0.866053i | \(0.666649\pi\) | |||||||
\(380\) | 1.04640 | − | 12.7468i | 0.0536793 | − | 0.653895i | ||||
\(381\) | 17.5204 | + | 5.14444i | 0.897595 | + | 0.263558i | ||||
\(382\) | 0.764972 | + | 2.05097i | 0.0391394 | + | 0.104937i | ||||
\(383\) | −4.27550 | − | 19.6542i | −0.218468 | − | 1.00428i | −0.947489 | − | 0.319790i | \(-0.896388\pi\) |
0.729020 | − | 0.684492i | \(-0.239976\pi\) | |||||||
\(384\) | −1.76585 | − | 6.01394i | −0.0901133 | − | 0.306898i | ||||
\(385\) | 1.33391 | − | 8.63260i | 0.0679825 | − | 0.439958i | ||||
\(386\) | 0.659190 | + | 1.44342i | 0.0335519 | + | 0.0734684i | ||||
\(387\) | −1.13467 | − | 0.849403i | −0.0576785 | − | 0.0431776i | ||||
\(388\) | −7.56469 | − | 1.64560i | −0.384039 | − | 0.0835426i | ||||
\(389\) | −14.8609 | + | 17.1504i | −0.753477 | + | 0.869559i | −0.994901 | − | 0.100861i | \(-0.967840\pi\) |
0.241423 | + | 0.970420i | \(0.422386\pi\) | |||||||
\(390\) | −0.0115610 | + | 1.10015i | −0.000585413 | + | 0.0557083i | ||||
\(391\) | 11.4381 | + | 22.5883i | 0.578447 | + | 1.14234i | ||||
\(392\) | −5.26892 | − | 5.26892i | −0.266121 | − | 0.266121i | ||||
\(393\) | 1.57586 | + | 22.0333i | 0.0794914 | + | 1.11143i | ||||
\(394\) | 0.504801 | + | 0.785486i | 0.0254315 | + | 0.0395722i | ||||
\(395\) | −25.1742 | − | 19.2612i | −1.26665 | − | 0.969137i | ||||
\(396\) | −0.533618 | + | 0.243695i | −0.0268153 | + | 0.0122461i | ||||
\(397\) | 14.4410 | − | 10.8104i | 0.724775 | − | 0.542560i | −0.171973 | − | 0.985102i | \(-0.555014\pi\) |
0.896748 | + | 0.442542i | \(0.145923\pi\) | |||||||
\(398\) | 0.578941 | + | 0.316126i | 0.0290197 | + | 0.0158459i | ||||
\(399\) | −14.0668 | + | 21.8883i | −0.704219 | + | 1.09579i | ||||
\(400\) | 17.6980 | + | 8.53637i | 0.884902 | + | 0.426818i | ||||
\(401\) | −5.90383 | + | 20.1066i | −0.294823 | + | 1.00408i | 0.670259 | + | 0.742128i | \(0.266183\pi\) |
−0.965082 | + | 0.261948i | \(0.915635\pi\) | |||||||
\(402\) | −1.52896 | − | 0.109353i | −0.0762576 | − | 0.00545405i | ||||
\(403\) | −0.735609 | − | 0.0526118i | −0.0366433 | − | 0.00262078i | ||||
\(404\) | −1.47056 | + | 5.00828i | −0.0731632 | + | 0.249171i | ||||
\(405\) | 7.57669 | + | 20.9847i | 0.376489 | + | 1.04274i | ||||
\(406\) | 1.01798 | − | 1.58401i | 0.0505217 | − | 0.0786133i | ||||
\(407\) | 2.69343 | + | 1.47073i | 0.133509 | + | 0.0729012i | ||||
\(408\) | 3.35048 | − | 2.50814i | 0.165874 | − | 0.124172i | ||||
\(409\) | −6.64652 | + | 3.03536i | −0.328649 | + | 0.150089i | −0.572905 | − | 0.819622i | \(-0.694184\pi\) |
0.244256 | + | 0.969711i | \(0.421456\pi\) | |||||||
\(410\) | 0.143905 | + | 1.08144i | 0.00710698 | + | 0.0534084i | ||||
\(411\) | 11.5709 | + | 18.0046i | 0.570749 | + | 0.888103i | ||||
\(412\) | 1.61053 | + | 22.5182i | 0.0793452 | + | 1.10939i | ||||
\(413\) | 23.1400 | + | 23.1400i | 1.13865 | + | 1.13865i | ||||
\(414\) | 0.166539 | + | 0.0977722i | 0.00818496 | + | 0.00480524i | ||||
\(415\) | 10.0686 | + | 0.105806i | 0.494248 | + | 0.00519382i | ||||
\(416\) | 2.08918 | − | 2.41105i | 0.102431 | − | 0.118211i | ||||
\(417\) | 18.4643 | + | 4.01666i | 0.904200 | + | 0.196697i | ||||
\(418\) | −0.197707 | − | 0.148001i | −0.00967015 | − | 0.00723899i | ||||
\(419\) | 9.29391 | + | 20.3508i | 0.454037 | + | 0.994203i | 0.988806 | + | 0.149205i | \(0.0476713\pi\) |
−0.534769 | + | 0.844998i | \(0.679601\pi\) | |||||||
\(420\) | −23.7584 | − | 32.4426i | −1.15929 | − | 1.58304i | ||||
\(421\) | 9.30346 | + | 31.6847i | 0.453423 | + | 1.54422i | 0.796339 | + | 0.604851i | \(0.206767\pi\) |
−0.342916 | + | 0.939366i | \(0.611415\pi\) | |||||||
\(422\) | −0.361438 | − | 1.66150i | −0.0175945 | − | 0.0808808i | ||||
\(423\) | 0.596343 | + | 1.59886i | 0.0289952 | + | 0.0777392i | ||||
\(424\) | 1.76762 | + | 0.519019i | 0.0858431 | + | 0.0252058i | ||||
\(425\) | −2.43604 | + | 26.2844i | −0.118165 | + | 1.27498i | ||||
\(426\) | −2.01681 | − | 2.32752i | −0.0977146 | − | 0.112769i | ||||
\(427\) | −23.0731 | − | 42.2552i | −1.11658 | − | 2.04487i | ||||
\(428\) | −18.3870 | + | 6.85801i | −0.888770 | + | 0.331494i | ||||
\(429\) | −3.03281 | − | 1.94907i | −0.146425 | − | 0.0941018i | ||||
\(430\) | 0.804710 | + | 0.450446i | 0.0388065 | + | 0.0217224i | ||||
\(431\) | −4.45996 | − | 0.641246i | −0.214829 | − | 0.0308877i | 0.0340599 | − | 0.999420i | \(-0.489156\pi\) |
−0.248889 | + | 0.968532i | \(0.580065\pi\) | |||||||
\(432\) | 6.62743 | − | 17.7688i | 0.318863 | − | 0.854904i | ||||
\(433\) | −6.83477 | + | 9.13018i | −0.328458 | + | 0.438768i | −0.934123 | − | 0.356951i | \(-0.883816\pi\) |
0.605665 | + | 0.795720i | \(0.292907\pi\) | |||||||
\(434\) | −0.133628 | + | 0.0858775i | −0.00641435 | + | 0.00412225i | ||||
\(435\) | 9.61097 | − | 10.8590i | 0.460811 | − | 0.520648i | ||||
\(436\) | − | 35.4575i | − | 1.69811i | ||||||
\(437\) | 0.428546 | − | 13.7895i | 0.0205001 | − | 0.659643i | ||||
\(438\) | 0.687338 | − | 0.687338i | 0.0328423 | − | 0.0328423i | ||||
\(439\) | 3.81470 | + | 3.30545i | 0.182066 | + | 0.157761i | 0.741125 | − | 0.671367i | \(-0.234292\pi\) |
−0.559060 | + | 0.829127i | \(0.688838\pi\) | |||||||
\(440\) | 0.648395 | − | 0.407135i | 0.0309110 | − | 0.0194094i | ||||
\(441\) | 0.913786 | + | 6.35552i | 0.0435136 | + | 0.302644i | ||||
\(442\) | 1.32541 | + | 0.494351i | 0.0630431 | + | 0.0235139i | ||||
\(443\) | −4.43442 | − | 5.92369i | −0.210686 | − | 0.281443i | 0.682733 | − | 0.730668i | \(-0.260791\pi\) |
−0.893419 | + | 0.449225i | \(0.851700\pi\) | |||||||
\(444\) | 13.5550 | − | 3.98011i | 0.643293 | − | 0.188888i | ||||
\(445\) | 14.0041 | − | 2.89264i | 0.663859 | − | 0.137124i | ||||
\(446\) | −0.378483 | + | 0.828762i | −0.0179217 | + | 0.0392430i | ||||
\(447\) | −14.4613 | + | 7.89646i | −0.683995 | + | 0.373490i | ||||
\(448\) | −2.71269 | + | 37.9284i | −0.128163 | + | 1.79195i | ||||
\(449\) | −3.25668 | + | 2.82193i | −0.153692 | + | 0.133175i | −0.728313 | − | 0.685245i | \(-0.759695\pi\) |
0.574620 | + | 0.818420i | \(0.305150\pi\) | |||||||
\(450\) | 0.0927571 | + | 0.178701i | 0.00437261 | + | 0.00842403i | ||||
\(451\) | −3.25177 | − | 1.48503i | −0.153120 | − | 0.0699275i | ||||
\(452\) | −31.7373 | + | 6.90402i | −1.49280 | + | 0.324738i | ||||
\(453\) | −4.14879 | + | 7.59795i | −0.194927 | + | 0.356983i | ||||
\(454\) | −0.0860734 | + | 0.598654i | −0.00403963 | + | 0.0280962i | ||||
\(455\) | 9.79525 | − | 25.4423i | 0.459208 | − | 1.19275i | ||||
\(456\) | −2.25731 | + | 0.324552i | −0.105708 | + | 0.0151985i | ||||
\(457\) | 2.98247 | − | 13.7102i | 0.139514 | − | 0.641335i | −0.853275 | − | 0.521461i | \(-0.825387\pi\) |
0.992789 | − | 0.119874i | \(-0.0382491\pi\) | |||||||
\(458\) | −1.93583 | + | 0.138453i | −0.0904554 | + | 0.00646949i | ||||
\(459\) | 25.4773 | 1.18918 | ||||||||
\(460\) | 19.6506 | + | 8.27517i | 0.916216 | + | 0.385832i | ||||
\(461\) | −14.1608 | −0.659534 | −0.329767 | − | 0.944062i | \(-0.606970\pi\) | ||||
−0.329767 | + | 0.944062i | \(0.606970\pi\) | |||||||
\(462\) | −0.774507 | + | 0.0553938i | −0.0360333 | + | 0.00257715i | ||||
\(463\) | −3.19035 | + | 14.6658i | −0.148268 | + | 0.681578i | 0.841660 | + | 0.540008i | \(0.181579\pi\) |
−0.989928 | + | 0.141570i | \(0.954785\pi\) | |||||||
\(464\) | −13.7375 | + | 1.97516i | −0.637750 | + | 0.0916945i | ||||
\(465\) | −1.11806 | + | 0.496471i | −0.0518490 | + | 0.0230233i | ||||
\(466\) | 0.300770 | − | 2.09190i | 0.0139329 | − | 0.0969054i | ||||
\(467\) | −7.25468 | + | 13.2860i | −0.335707 | + | 0.614801i | −0.989939 | − | 0.141493i | \(-0.954810\pi\) |
0.654233 | + | 0.756293i | \(0.272992\pi\) | |||||||
\(468\) | −1.78908 | + | 0.389190i | −0.0827001 | + | 0.0179903i | ||||
\(469\) | 34.5512 | + | 15.7790i | 1.59543 | + | 0.728607i | ||||
\(470\) | −0.521834 | − | 0.980012i | −0.0240704 | − | 0.0452046i | ||||
\(471\) | 1.84217 | − | 1.59625i | 0.0848829 | − | 0.0735514i | ||||
\(472\) | −0.204623 | + | 2.86101i | −0.00941854 | + | 0.131688i | ||||
\(473\) | −2.65219 | + | 1.44820i | −0.121948 | + | 0.0665884i | ||||
\(474\) | −1.17051 | + | 2.56306i | −0.0537633 | + | 0.117725i | ||||
\(475\) | 8.02888 | − | 11.9341i | 0.368390 | − | 0.547574i | ||||
\(476\) | −49.6080 | + | 14.5662i | −2.27378 | + | 0.667641i | ||||
\(477\) | −0.951332 | − | 1.27083i | −0.0435585 | − | 0.0581874i | ||||
\(478\) | −0.580218 | − | 0.216410i | −0.0265385 | − | 0.00989837i | ||||
\(479\) | −0.160132 | − | 1.11374i | −0.00731661 | − | 0.0508881i | 0.985836 | − | 0.167712i | \(-0.0536378\pi\) |
−0.993153 | + | 0.116824i | \(0.962729\pi\) | |||||||
\(480\) | 1.17917 | − | 5.15893i | 0.0538213 | − | 0.235472i | ||||
\(481\) | 7.23857 | + | 6.27225i | 0.330050 | + | 0.285990i | ||||
\(482\) | 1.13084 | − | 1.13084i | 0.0515084 | − | 0.0515084i | ||||
\(483\) | −27.3736 | − | 33.6483i | −1.24554 | − | 1.53105i | ||||
\(484\) | − | 20.6204i | − | 0.937292i | ||||||
\(485\) | −6.51958 | − | 5.77030i | −0.296039 | − | 0.262016i | ||||
\(486\) | 0.350094 | − | 0.224992i | 0.0158806 | − | 0.0102058i | ||||
\(487\) | −16.4884 | + | 22.0259i | −0.747160 | + | 0.998089i | 0.252376 | + | 0.967629i | \(0.418788\pi\) |
−0.999536 | + | 0.0304601i | \(0.990303\pi\) | |||||||
\(488\) | 1.47467 | − | 3.95374i | 0.0667552 | − | 0.178978i | ||||
\(489\) | 4.05638 | + | 0.583220i | 0.183436 | + | 0.0263741i | ||||
\(490\) | −1.13480 | − | 4.02061i | −0.0512652 | − | 0.181632i | ||||
\(491\) | 21.9542 | + | 14.1091i | 0.990779 | + | 0.636735i | 0.932350 | − | 0.361557i | \(-0.117755\pi\) |
0.0584288 | + | 0.998292i | \(0.481391\pi\) | |||||||
\(492\) | −15.4191 | + | 5.75102i | −0.695146 | + | 0.259276i | ||||
\(493\) | −8.93562 | − | 16.3644i | −0.402440 | − | 0.737014i | ||||
\(494\) | −0.504767 | − | 0.582532i | −0.0227105 | − | 0.0262094i | ||||
\(495\) | −0.657526 | − | 0.0539774i | −0.0295536 | − | 0.00242610i | ||||
\(496\) | 1.12340 | + | 0.329859i | 0.0504419 | + | 0.0148111i | ||||
\(497\) | 26.6693 | + | 71.5031i | 1.19628 | + | 3.20735i | ||||
\(498\) | −0.190262 | − | 0.874621i | −0.00852586 | − | 0.0391927i | ||||
\(499\) | −3.59093 | − | 12.2296i | −0.160752 | − | 0.547471i | −0.999993 | − | 0.00371164i | \(-0.998819\pi\) |
0.839241 | − | 0.543760i | \(-0.183000\pi\) | |||||||
\(500\) | 12.7542 | + | 18.2068i | 0.570386 | + | 0.814234i | ||||
\(501\) | −11.9062 | − | 26.0709i | −0.531929 | − | 1.16476i | ||||
\(502\) | 1.28525 | + | 0.962126i | 0.0573635 | + | 0.0429418i | ||||
\(503\) | 23.8331 | + | 5.18456i | 1.06266 | + | 0.231168i | 0.709725 | − | 0.704478i | \(-0.248819\pi\) |
0.352938 | + | 0.935647i | \(0.385183\pi\) | |||||||
\(504\) | −0.518013 | + | 0.597819i | −0.0230742 | + | 0.0266290i | ||||
\(505\) | −4.19425 | + | 4.10701i | −0.186642 | + | 0.182760i | ||||
\(506\) | 0.337108 | − | 0.236380i | 0.0149863 | − | 0.0105084i | ||||
\(507\) | 8.92378 | + | 8.92378i | 0.396319 | + | 0.396319i | ||||
\(508\) | −1.41047 | − | 19.7209i | −0.0625794 | − | 0.874974i | ||||
\(509\) | 15.5147 | + | 24.1413i | 0.687677 | + | 1.07005i | 0.993036 | + | 0.117809i | \(0.0375870\pi\) |
−0.305359 | + | 0.952237i | \(0.598777\pi\) | |||||||
\(510\) | 2.32601 | − | 0.309519i | 0.102997 | − | 0.0137057i | ||||
\(511\) | −21.9101 | + | 10.0060i | −0.969246 | + | 0.442640i | ||||
\(512\) | −6.77092 | + | 5.06864i | −0.299235 | + | 0.224005i | ||||
\(513\) | −12.1843 | − | 6.65311i | −0.537948 | − | 0.293742i | ||||
\(514\) | −0.830224 | + | 1.29185i | −0.0366196 | + | 0.0569812i | ||||
\(515\) | −10.7891 | + | 22.9827i | −0.475426 | + | 1.01274i | ||||
\(516\) | −3.91916 | + | 13.3474i | −0.172531 | + | 0.587588i | ||||
\(517\) | 3.62885 | + | 0.259540i | 0.159596 | + | 0.0114146i | ||||
\(518\) | 2.05770 | + | 0.147170i | 0.0904102 | + | 0.00646626i | ||||
\(519\) | −1.89846 | + | 6.46556i | −0.0833331 | + | 0.283807i | ||||
\(520\) | 2.24755 | − | 0.811493i | 0.0985615 | − | 0.0355863i | ||||
\(521\) | 13.3721 | − | 20.8074i | 0.585842 | − | 0.911588i | −0.414157 | − | 0.910205i | \(-0.635924\pi\) |
0.999999 | − | 0.00138259i | \(-0.000440093\pi\) | |||||||
\(522\) | −0.124817 | − | 0.0681552i | −0.00546309 | − | 0.00298307i | ||||
\(523\) | 8.59201 | − | 6.43190i | 0.375702 | − | 0.281247i | −0.394694 | − | 0.918813i | \(-0.629149\pi\) |
0.770396 | + | 0.637565i | \(0.220058\pi\) | |||||||
\(524\) | 21.7564 | − | 9.93583i | 0.950434 | − | 0.434049i | ||||
\(525\) | −5.49382 | − | 44.8882i | −0.239770 | − | 1.95908i | ||||
\(526\) | 1.00803 | + | 1.56852i | 0.0439521 | + | 0.0683908i | ||||
\(527\) | 0.112210 | + | 1.56890i | 0.00488793 | + | 0.0683422i | ||||
\(528\) | 4.04705 | + | 4.04705i | 0.176125 | + | 0.176125i | ||||
\(529\) | 21.6234 | + | 7.83768i | 0.940147 | + | 0.340769i | ||||
\(530\) | 0.722634 | + | 0.737983i | 0.0313892 | + | 0.0320559i | ||||
\(531\) | 1.61858 | − | 1.86794i | 0.0702403 | − | 0.0810616i | ||||
\(532\) | 27.5283 | + | 5.98841i | 1.19350 | + | 0.259631i | ||||
\(533\) | −8.93187 | − | 6.68631i | −0.386882 | − | 0.289616i | ||||
\(534\) | −0.528054 | − | 1.15628i | −0.0228511 | − | 0.0500370i | ||||
\(535\) | −21.8111 | − | 3.37026i | −0.942977 | − | 0.145709i | ||||
\(536\) | 0.937957 | + | 3.19439i | 0.0405136 | + | 0.137977i | ||||
\(537\) | −4.28259 | − | 19.6867i | −0.184807 | − | 0.849546i | ||||
\(538\) | 0.196481 | + | 0.526786i | 0.00847090 | + | 0.0227114i | ||||
\(539\) | 13.1347 | + | 3.85668i | 0.565750 | + | 0.166119i | ||||
\(540\) | 16.3615 | − | 13.8790i | 0.704085 | − | 0.597256i | ||||
\(541\) | −0.956634 | − | 1.10401i | −0.0411289 | − | 0.0474653i | 0.734812 | − | 0.678270i | \(-0.237270\pi\) |
−0.775941 | + | 0.630805i | \(0.782725\pi\) | |||||||
\(542\) | −0.0869177 | − | 0.159178i | −0.00373344 | − | 0.00683728i | ||||
\(543\) | −5.09365 | + | 1.89983i | −0.218589 | + | 0.0815296i | ||||
\(544\) | −5.72402 | − | 3.67860i | −0.245415 | − | 0.157719i | ||||
\(545\) | 19.4774 | − | 34.7958i | 0.834320 | − | 1.49049i | ||||
\(546\) | −2.39880 | − | 0.344895i | −0.102659 | − | 0.0147602i | ||||
\(547\) | 10.7508 | − | 28.8241i | 0.459673 | − | 1.23243i | −0.475963 | − | 0.879465i | \(-0.657900\pi\) |
0.935636 | − | 0.352966i | \(-0.114827\pi\) | |||||||
\(548\) | 13.8874 | − | 18.5513i | 0.593238 | − | 0.792473i | ||||
\(549\) | −3.05898 | + | 1.96589i | −0.130554 | + | 0.0839021i | ||||
\(550\) | 0.428708 | − | 0.0216181i | 0.0182802 | − | 0.000921799i | ||||
\(551\) | 10.1595i | 0.432810i | ||||||||
\(552\) | 0.657703 | − | 3.74459i | 0.0279937 | − | 0.159380i | ||||
\(553\) | 49.3710 | − | 49.3710i | 2.09947 | − | 2.09947i | ||||
\(554\) | 1.83202 | + | 1.58746i | 0.0778353 | + | 0.0674446i | ||||
\(555\) | 15.4884 | + | 3.54015i | 0.657447 | + | 0.150271i | ||||
\(556\) | −2.91177 | − | 20.2518i | −0.123486 | − | 0.858867i | ||||
\(557\) | −31.2219 | − | 11.6452i | −1.32292 | − | 0.493422i | −0.413953 | − | 0.910298i | \(-0.635852\pi\) |
−0.908963 | + | 0.416876i | \(0.863125\pi\) | |||||||
\(558\) | 0.00718960 | + | 0.00960418i | 0.000304360 | + | 0.000406577i | ||||
\(559\) | −9.04928 | + | 2.65711i | −0.382744 | + | 0.112384i | ||||
\(560\) | −23.7812 | + | 36.1631i | −1.00494 | + | 1.52817i | ||||
\(561\) | −3.19409 | + | 6.99407i | −0.134854 | + | 0.295290i | ||||
\(562\) | 0.206055 | − | 0.112515i | 0.00869192 | − | 0.00474615i | ||||
\(563\) | 1.39146 | − | 19.4551i | 0.0586429 | − | 0.819935i | −0.879985 | − | 0.475002i | \(-0.842447\pi\) |
0.938627 | − | 0.344933i | \(-0.112098\pi\) | |||||||
\(564\) | 12.6573 | − | 10.9676i | 0.532970 | − | 0.461821i | ||||
\(565\) | −34.9375 | − | 10.6586i | −1.46983 | − | 0.448411i | ||||
\(566\) | −2.45774 | − | 1.12241i | −0.103306 | − | 0.0471785i | ||||
\(567\) | −48.0212 | + | 10.4464i | −2.01670 | + | 0.438707i | ||||
\(568\) | −3.20567 | + | 5.87074i | −0.134507 | + | 0.246331i | ||||
\(569\) | 3.68129 | − | 25.6039i | 0.154328 | − | 1.07337i | −0.754530 | − | 0.656266i | \(-0.772135\pi\) |
0.908857 | − | 0.417107i | \(-0.136956\pi\) | |||||||
\(570\) | −1.19322 | − | 0.459386i | −0.0499783 | − | 0.0192416i | ||||
\(571\) | −12.1361 | + | 1.74491i | −0.507881 | + | 0.0730223i | −0.391492 | − | 0.920181i | \(-0.628041\pi\) |
−0.116389 | + | 0.993204i | \(0.537132\pi\) | |||||||
\(572\) | −0.829744 | + | 3.81427i | −0.0346933 | + | 0.159483i | ||||
\(573\) | −37.0400 | + | 2.64916i | −1.54737 | + | 0.110670i | ||||
\(574\) | −2.40311 | −0.100304 | ||||||||
\(575\) | 14.7383 | + | 18.9152i | 0.614628 | + | 0.788817i | ||||
\(576\) | 2.87196 | 0.119665 | ||||||||
\(577\) | 40.1338 | − | 2.87042i | 1.67079 | − | 0.119497i | 0.796416 | − | 0.604749i | \(-0.206727\pi\) |
0.874374 | + | 0.485252i | \(0.161272\pi\) | |||||||
\(578\) | 0.250160 | − | 1.14997i | 0.0104053 | − | 0.0478323i | ||||
\(579\) | −26.6454 | + | 3.83102i | −1.10734 | + | 0.159212i | ||||
\(580\) | −14.6530 | − | 5.64140i | −0.608435 | − | 0.234246i | ||||
\(581\) | −3.15649 | + | 21.9539i | −0.130953 | + | 0.910799i | ||||
\(582\) | −0.370908 | + | 0.679268i | −0.0153746 | + | 0.0281566i | ||||
\(583\) | −3.30710 | + | 0.719415i | −0.136966 | + | 0.0297951i | ||||
\(584\) | −1.92040 | − | 0.877019i | −0.0794669 | − | 0.0362913i | ||||
\(585\) | −1.96948 | − | 0.600842i | −0.0814280 | − | 0.0248417i | ||||
\(586\) | −0.124910 | + | 0.108235i | −0.00515998 | + | 0.00447114i | ||||
\(587\) | 1.31646 | − | 18.4064i | 0.0543359 | − | 0.759715i | −0.895122 | − | 0.445821i | \(-0.852912\pi\) |
0.949458 | − | 0.313894i | \(-0.101634\pi\) | |||||||
\(588\) | 55.3096 | − | 30.2013i | 2.28093 | − | 1.24548i | ||||
\(589\) | 0.356036 | − | 0.779610i | 0.0146702 | − | 0.0321233i | ||||
\(590\) | −0.883597 | + | 1.34365i | −0.0363771 | + | 0.0553171i | ||||
\(591\) | −15.1981 | + | 4.46257i | −0.625167 | + | 0.183566i | ||||
\(592\) | −9.11252 | − | 12.1729i | −0.374522 | − | 0.500303i | ||||
\(593\) | −24.0905 | − | 8.98529i | −0.989278 | − | 0.368982i | −0.197842 | − | 0.980234i | \(-0.563393\pi\) |
−0.791436 | + | 0.611252i | \(0.790666\pi\) | |||||||
\(594\) | −0.0589605 | − | 0.410079i | −0.00241918 | − | 0.0168258i | ||||
\(595\) | −56.6837 | − | 12.9561i | −2.32381 | − | 0.531147i | ||||
\(596\) | 13.4829 | + | 11.6830i | 0.552280 | + | 0.478554i | ||||
\(597\) | −7.91261 | + | 7.91261i | −0.323841 | + | 0.323841i | ||||
\(598\) | 1.18492 | − | 0.497251i | 0.0484548 | − | 0.0203341i | ||||
\(599\) | 27.1547i | 1.10951i | 0.832013 | + | 0.554756i | \(0.187188\pi\) | ||||
−0.832013 | + | 0.554756i | \(0.812812\pi\) | |||||||
\(600\) | 2.65810 | − | 2.94041i | 0.108516 | − | 0.120042i | ||||
\(601\) | −12.7595 | + | 8.20004i | −0.520471 | + | 0.334487i | −0.774358 | − | 0.632747i | \(-0.781927\pi\) |
0.253887 | + | 0.967234i | \(0.418291\pi\) | |||||||
\(602\) | −1.21735 | + | 1.62619i | −0.0496155 | + | 0.0662786i | ||||
\(603\) | 1.00255 | − | 2.68794i | 0.0408270 | − | 0.109461i | ||||
\(604\) | 9.27794 | + | 1.33397i | 0.377514 | + | 0.0542783i | ||||
\(605\) | 11.3271 | − | 20.2356i | 0.460514 | − | 0.822696i | ||||
\(606\) | 0.438983 | + | 0.282117i | 0.0178325 | + | 0.0114602i | ||||
\(607\) | −20.2793 | + | 7.56379i | −0.823111 | + | 0.307005i | −0.725502 | − | 0.688220i | \(-0.758392\pi\) |
−0.0976093 | + | 0.995225i | \(0.531120\pi\) | |||||||
\(608\) | 1.77683 | + | 3.25401i | 0.0720598 | + | 0.131968i | ||||
\(609\) | 20.9179 | + | 24.1405i | 0.847634 | + | 0.978222i | ||||
\(610\) | 1.80419 | − | 1.53044i | 0.0730495 | − | 0.0619658i | ||||
\(611\) | 10.8949 | + | 3.19903i | 0.440760 | + | 0.129419i | ||||
\(612\) | 1.36464 | + | 3.65874i | 0.0551623 | + | 0.147896i | ||||
\(613\) | −0.539989 | − | 2.48229i | −0.0218100 | − | 0.100259i | 0.964955 | − | 0.262415i | \(-0.0845189\pi\) |
−0.986765 | + | 0.162156i | \(0.948155\pi\) | |||||||
\(614\) | 0.189529 | + | 0.645476i | 0.00764876 | + | 0.0260493i | ||||
\(615\) | −18.2905 | − | 2.82625i | −0.737543 | − | 0.113965i | ||||
\(616\) | 0.700579 | + | 1.53405i | 0.0282271 | + | 0.0618088i | ||||
\(617\) | −6.03199 | − | 4.51549i | −0.242839 | − | 0.181787i | 0.470925 | − | 0.882173i | \(-0.343920\pi\) |
−0.713764 | + | 0.700386i | \(0.753011\pi\) | |||||||
\(618\) | 2.20534 | + | 0.479742i | 0.0887117 | + | 0.0192981i | ||||
\(619\) | 4.64039 | − | 5.35530i | 0.186513 | − | 0.215248i | −0.654791 | − | 0.755810i | \(-0.727243\pi\) |
0.841304 | + | 0.540563i | \(0.181789\pi\) | |||||||
\(620\) | 0.926729 | + | 0.946413i | 0.0372183 | + | 0.0380089i | ||||
\(621\) | 16.8655 | − | 15.8488i | 0.676789 | − | 0.635991i | ||||
\(622\) | −0.315548 | − | 0.315548i | −0.0126523 | − | 0.0126523i | ||||
\(623\) | 2.24708 | + | 31.4182i | 0.0900272 | + | 1.25874i | ||||
\(624\) | 9.65754 | + | 15.0274i | 0.386611 | + | 0.601578i | ||||
\(625\) | 2.51492 | + | 24.8732i | 0.100597 | + | 0.994927i | ||||
\(626\) | −0.502483 | + | 0.229476i | −0.0200832 | + | 0.00917171i | ||||
\(627\) | 3.35396 | − | 2.51074i | 0.133944 | − | 0.100269i | ||||
\(628\) | −2.31645 | − | 1.26488i | −0.0924363 | − | 0.0504740i | ||||
\(629\) | 11.0441 | − | 17.1850i | 0.440357 | − | 0.685209i | ||||
\(630\) | −0.417140 | + | 0.150611i | −0.0166193 | + | 0.00600050i | ||||
\(631\) | 2.60088 | − | 8.85780i | 0.103540 | − | 0.352623i | −0.891385 | − | 0.453247i | \(-0.850266\pi\) |
0.994925 | + | 0.100624i | \(0.0320838\pi\) | |||||||
\(632\) | 6.10417 | + | 0.436579i | 0.242811 | + | 0.0173662i | ||||
\(633\) | 28.7720 | + | 2.05781i | 1.14358 | + | 0.0817907i | ||||
\(634\) | 0.954321 | − | 3.25012i | 0.0379009 | − | 0.129079i | ||||
\(635\) | 9.44888 | − | 20.1277i | 0.374967 | − | 0.798744i | ||||
\(636\) | −8.42332 | + | 13.1069i | −0.334007 | + | 0.519724i | ||||
\(637\) | 37.4988 | + | 20.4759i | 1.48576 | + | 0.811284i | ||||
\(638\) | −0.242719 | + | 0.181697i | −0.00960935 | + | 0.00719347i | ||||
\(639\) | 5.24301 | − | 2.39440i | 0.207410 | − | 0.0947211i | ||||
\(640\) | −7.56565 | + | 1.00675i | −0.299059 | + | 0.0397954i | ||||
\(641\) | −4.64508 | − | 7.22789i | −0.183470 | − | 0.285485i | 0.737320 | − | 0.675544i | \(-0.236091\pi\) |
−0.920790 | + | 0.390059i | \(0.872455\pi\) | |||||||
\(642\) | 0.139958 | + | 1.95687i | 0.00552370 | + | 0.0772314i | ||||
\(643\) | −12.0118 | − | 12.0118i | −0.473699 | − | 0.473699i | 0.429410 | − | 0.903109i | \(-0.358721\pi\) |
−0.903109 | + | 0.429410i | \(0.858721\pi\) | |||||||
\(644\) | −23.7782 | + | 40.5024i | −0.936994 | + | 1.59602i | ||||
\(645\) | −11.1780 | + | 10.9455i | −0.440133 | + | 0.430979i | ||||
\(646\) | −1.07656 | + | 1.24241i | −0.0423566 | + | 0.0488822i | ||||
\(647\) | −16.7084 | − | 3.63470i | −0.656876 | − | 0.142895i | −0.128240 | − | 0.991743i | \(-0.540933\pi\) |
−0.528636 | + | 0.848848i | \(0.677296\pi\) | |||||||
\(648\) | −3.44830 | − | 2.58137i | −0.135462 | − | 0.101406i | ||||
\(649\) | −2.18902 | − | 4.79328i | −0.0859265 | − | 0.188153i | ||||
\(650\) | 1.32179 | + | 0.218489i | 0.0518450 | + | 0.00856983i | ||||
\(651\) | −0.759178 | − | 2.58552i | −0.0297545 | − | 0.101335i | ||||
\(652\) | −0.943210 | − | 4.33586i | −0.0369389 | − | 0.169806i | ||||
\(653\) | 3.83932 | + | 10.2936i | 0.150244 | + | 0.402820i | 0.990168 | − | 0.139884i | \(-0.0446731\pi\) |
−0.839924 | + | 0.542705i | \(0.817400\pi\) | |||||||
\(654\) | −3.40114 | − | 0.998664i | −0.132995 | − | 0.0390508i | ||||
\(655\) | 26.8084 | + | 2.20074i | 1.04749 | + | 0.0859901i | ||||
\(656\) | 11.5996 | + | 13.3866i | 0.452888 | + | 0.522661i | ||||
\(657\) | 0.871859 | + | 1.59669i | 0.0340144 | + | 0.0622928i | ||||
\(658\) | 2.29146 | − | 0.854670i | 0.0893304 | − | 0.0333185i | ||||
\(659\) | −28.3720 | − | 18.2336i | −1.10522 | − | 0.710280i | −0.144972 | − | 0.989436i | \(-0.546309\pi\) |
−0.960246 | + | 0.279156i | \(0.909945\pi\) | |||||||
\(660\) | 1.75884 | + | 6.23158i | 0.0684629 | + | 0.242564i | ||||
\(661\) | 16.6437 | + | 2.39301i | 0.647366 | + | 0.0930771i | 0.458173 | − | 0.888863i | \(-0.348504\pi\) |
0.189192 | + | 0.981940i | \(0.439413\pi\) | |||||||
\(662\) | −0.741477 | + | 1.98798i | −0.0288183 | + | 0.0772649i | ||||
\(663\) | −14.3813 | + | 19.2111i | −0.558522 | + | 0.746098i | ||||
\(664\) | −1.63542 | + | 1.05102i | −0.0634665 | + | 0.0407875i | ||||
\(665\) | 23.7251 | + | 20.9984i | 0.920018 | + | 0.814283i | ||||
\(666\) | − | 0.155810i | − | 0.00603752i | ||||||
\(667\) | −16.0951 | − | 5.27426i | −0.623203 | − | 0.204220i | ||||
\(668\) | −21.9437 | + | 21.9437i | −0.849027 | + | 0.849027i | ||||
\(669\) | −11.6809 | − | 10.1216i | −0.451612 | − | 0.391324i | ||||
\(670\) | −0.415912 | + | 1.81965i | −0.0160681 | + | 0.0702990i | ||||
\(671\) | 1.10327 | + | 7.67343i | 0.0425914 | + | 0.296230i | ||||
\(672\) | 10.9218 | + | 4.07363i | 0.421319 | + | 0.157144i | ||||
\(673\) | −0.958077 | − | 1.27984i | −0.0369311 | − | 0.0493342i | 0.781696 | − | 0.623660i | \(-0.214355\pi\) |
−0.818627 | + | 0.574326i | \(0.805264\pi\) | |||||||
\(674\) | 1.41604 | − | 0.415786i | 0.0545438 | − | 0.0160155i | ||||
\(675\) | 23.6801 | − | 4.63237i | 0.911448 | − | 0.178300i | ||||
\(676\) | 5.67649 | − | 12.4298i | 0.218327 | − | 0.478069i | ||||
\(677\) | −0.0810392 | + | 0.0442508i | −0.00311459 | + | 0.00170070i | −0.480806 | − | 0.876827i | \(-0.659656\pi\) |
0.477691 | + | 0.878528i | \(0.341474\pi\) | |||||||
\(678\) | −0.231639 | + | 3.23874i | −0.00889605 | + | 0.124383i | ||||
\(679\) | 14.4936 | − | 12.5588i | 0.556214 | − | 0.481962i | ||||
\(680\) | −2.39531 | − | 4.49843i | −0.0918561 | − | 0.172507i | ||||
\(681\) | −9.33299 | − | 4.26223i | −0.357641 | − | 0.163329i | ||||
\(682\) | 0.0249930 | − | 0.00543690i | 0.000957033 | − | 0.000208190i | ||||
\(683\) | −16.0729 | + | 29.4354i | −0.615013 | + | 1.12631i | 0.365676 | + | 0.930742i | \(0.380838\pi\) |
−0.980690 | + | 0.195571i | \(0.937344\pi\) | |||||||
\(684\) | 0.302814 | − | 2.10612i | 0.0115784 | − | 0.0805293i | ||||
\(685\) | 23.8188 | − | 10.5766i | 0.910068 | − | 0.404111i | ||||
\(686\) | 5.41454 | − | 0.778493i | 0.206728 | − | 0.0297230i | ||||
\(687\) | 6.99848 | − | 32.1715i | 0.267009 | − | 1.22742i | ||||
\(688\) | 14.9348 | − | 1.06816i | 0.569385 | − | 0.0407232i | ||||
\(689\) | −10.5631 | −0.402422 | ||||||||
\(690\) | 1.34723 | − | 1.65185i | 0.0512881 | − | 0.0628848i | ||||
\(691\) | 27.8807 | 1.06063 | 0.530315 | − | 0.847801i | \(-0.322074\pi\) | ||||
0.530315 | + | 0.847801i | \(0.322074\pi\) | |||||||
\(692\) | 7.27764 | − | 0.520507i | 0.276654 | − | 0.0197867i | ||||
\(693\) | 0.308905 | − | 1.42001i | 0.0117343 | − | 0.0539418i | ||||
\(694\) | 2.58358 | − | 0.371463i | 0.0980714 | − | 0.0141005i | ||||
\(695\) | 8.26721 | − | 21.4734i | 0.313593 | − | 0.814531i | ||||
\(696\) | −0.398443 | + | 2.77123i | −0.0151030 | + | 0.105043i | ||||
\(697\) | −11.4042 | + | 20.8853i | −0.431966 | + | 0.791087i | ||||
\(698\) | 1.75895 | − | 0.382636i | 0.0665772 | − | 0.0144830i | ||||
\(699\) | 32.6126 | + | 14.8937i | 1.23352 | + | 0.563331i | ||||
\(700\) | −43.4600 | + | 22.5586i | −1.64264 | + | 0.852634i | ||||
\(701\) | 3.17607 | − | 2.75208i | 0.119958 | − | 0.103945i | −0.592816 | − | 0.805338i | \(-0.701984\pi\) |
0.712774 | + | 0.701393i | \(0.247438\pi\) | |||||||
\(702\) | 0.0922451 | − | 1.28976i | 0.00348157 | − | 0.0486787i | ||||
\(703\) | −9.76937 | + | 5.33448i | −0.368459 | + | 0.201194i | ||||
\(704\) | 2.54357 | − | 5.56964i | 0.0958643 | − | 0.209914i | ||||
\(705\) | 18.4458 | − | 3.81010i | 0.694711 | − | 0.143497i | ||||
\(706\) | 0.344975 | − | 0.101294i | 0.0129833 | − | 0.00381224i | ||||
\(707\) | −7.74894 | − | 10.3514i | −0.291429 | − | 0.389303i | ||||
\(708\) | −22.7285 | − | 8.47730i | −0.854190 | − | 0.318597i | ||||
\(709\) | 3.48761 | + | 24.2569i | 0.130980 | + | 0.910985i | 0.944281 | + | 0.329142i | \(0.106759\pi\) |
−0.813301 | + | 0.581844i | \(0.802332\pi\) | |||||||
\(710\) | −3.17601 | + | 1.99426i | −0.119194 | + | 0.0748431i | ||||
\(711\) | −3.98539 | − | 3.45336i | −0.149464 | − | 0.129511i | ||||
\(712\) | −1.95219 | + | 1.95219i | −0.0731615 | + | 0.0731615i | ||||
\(713\) | 1.05025 | + | 0.968775i | 0.0393322 | + | 0.0362809i | ||||
\(714\) | 5.16873i | 0.193435i | ||||||||
\(715\) | −2.90950 | + | 3.28730i | −0.108809 | + | 0.122938i | ||||
\(716\) | −18.3516 | + | 11.7939i | −0.685833 | + | 0.440758i | ||||
\(717\) | 6.29563 | − | 8.40997i | 0.235115 | − | 0.314076i | ||||
\(718\) | −1.16541 | + | 3.12457i | −0.0434925 | + | 0.116608i | ||||
\(719\) | −22.1084 | − | 3.17870i | −0.824503 | − | 0.118546i | −0.282867 | − | 0.959159i | \(-0.591286\pi\) |
−0.541635 | + | 0.840613i | \(0.682195\pi\) | |||||||
\(720\) | 2.85249 | + | 1.59671i | 0.106306 | + | 0.0595060i | ||||
\(721\) | −47.0474 | − | 30.2356i | −1.75214 | − | 1.12603i | ||||
\(722\) | −1.08769 | + | 0.405687i | −0.0404796 | + | 0.0150981i | ||||
\(723\) | 13.0021 | + | 23.8116i | 0.483553 | + | 0.885562i | ||||
\(724\) | 3.85474 | + | 4.44861i | 0.143260 | + | 0.165331i | ||||
\(725\) | −11.2807 | − | 13.5853i | −0.418955 | − | 0.504545i | ||||
\(726\) | −1.97794 | − | 0.580776i | −0.0734083 | − | 0.0215546i | ||||
\(727\) | 3.98054 | + | 10.6722i | 0.147630 | + | 0.395811i | 0.989625 | − | 0.143674i | \(-0.0458916\pi\) |
−0.841995 | + | 0.539485i | \(0.818619\pi\) | |||||||
\(728\) | 1.11885 | + | 5.14326i | 0.0414673 | + | 0.190622i | ||||
\(729\) | −6.44409 | − | 21.9466i | −0.238670 | − | 0.812835i | ||||
\(730\) | −0.699343 | − | 0.954968i | −0.0258839 | − | 0.0353450i | ||||
\(731\) | 8.35605 | + | 18.2972i | 0.309060 | + | 0.676747i | ||||
\(732\) | 28.5696 | + | 21.3869i | 1.05596 | + | 0.790484i | ||||
\(733\) | −36.8954 | − | 8.02610i | −1.36276 | − | 0.296451i | −0.529022 | − | 0.848608i | \(-0.677441\pi\) |
−0.833740 | + | 0.552157i | \(0.813805\pi\) | |||||||
\(734\) | 1.96862 | − | 2.27190i | 0.0726629 | − | 0.0838575i | ||||
\(735\) | 70.8676 | + | 0.744715i | 2.61399 | + | 0.0274692i | ||||
\(736\) | −6.07756 | + | 1.12561i | −0.224022 | + | 0.0414904i | ||||
\(737\) | −4.32485 | − | 4.32485i | −0.159308 | − | 0.159308i | ||||
\(738\) | 0.0129482 | + | 0.181039i | 0.000476628 | + | 0.00666413i | ||||
\(739\) | 19.2459 | + | 29.9472i | 0.707972 | + | 1.10163i | 0.989842 | + | 0.142173i | \(0.0454091\pi\) |
−0.281870 | + | 0.959453i | \(0.590955\pi\) | |||||||
\(740\) | −2.26915 | − | 17.0525i | −0.0834157 | − | 0.626862i | ||||
\(741\) | 11.8944 | − | 5.43201i | 0.436953 | − | 0.199550i | ||||
\(742\) | −1.82134 | + | 1.36344i | −0.0668633 | + | 0.0500533i | ||||
\(743\) | −13.7642 | − | 7.51580i | −0.504958 | − | 0.275728i | 0.206512 | − | 0.978444i | \(-0.433789\pi\) |
−0.711470 | + | 0.702716i | \(0.751970\pi\) | |||||||
\(744\) | 0.127692 | − | 0.198693i | 0.00468142 | − | 0.00728442i | ||||
\(745\) | 6.81363 | + | 18.8713i | 0.249632 | + | 0.691393i | ||||
\(746\) | 0.218305 | − | 0.743477i | 0.00799270 | − | 0.0272206i | ||||
\(747\) | 1.67091 | + | 0.119506i | 0.0611352 | + | 0.00437248i | ||||
\(748\) | 8.30406 | + | 0.593918i | 0.303626 | + | 0.0217158i | ||||
\(749\) | 13.6962 | − | 46.6450i | 0.500448 | − | 1.70437i | ||||
\(750\) | 2.10565 | − | 0.710607i | 0.0768875 | − | 0.0259477i | ||||
\(751\) | 19.3947 | − | 30.1788i | 0.707724 | − | 1.10124i | −0.282161 | − | 0.959367i | \(-0.591051\pi\) |
0.989885 | − | 0.141873i | \(-0.0453123\pi\) | |||||||
\(752\) | −15.8217 | − | 8.63928i | −0.576956 | − | 0.315042i | ||||
\(753\) | −21.8034 | + | 16.3218i | −0.794559 | + | 0.594800i | ||||
\(754\) | −0.860777 | + | 0.393104i | −0.0313476 | + | 0.0143160i | ||||
\(755\) | 8.37204 | + | 6.40560i | 0.304690 | + | 0.233124i | ||||
\(756\) | 25.5506 | + | 39.7575i | 0.929267 | + | 1.44597i | ||||
\(757\) | −1.02360 | − | 14.3117i | −0.0372032 | − | 0.520169i | −0.981549 | − | 0.191213i | \(-0.938758\pi\) |
0.944345 | − | 0.328956i | \(-0.106697\pi\) | |||||||
\(758\) | −0.974879 | − | 0.974879i | −0.0354092 | − | 0.0354092i | ||||
\(759\) | 2.23642 | + | 6.61690i | 0.0811767 | + | 0.240178i | ||||
\(760\) | −0.0291805 | + | 2.77684i | −0.00105849 | + | 0.100726i | ||||
\(761\) | −27.4199 | + | 31.6442i | −0.993970 | + | 1.14710i | −0.00485031 | + | 0.999988i | \(0.501544\pi\) |
−0.989120 | + | 0.147114i | \(0.953002\pi\) | |||||||
\(762\) | −1.93139 | − | 0.420147i | −0.0699668 | − | 0.0152203i | ||||
\(763\) | 70.3169 | + | 52.6386i | 2.54564 | + | 1.90564i | ||||
\(764\) | 16.7030 | + | 36.5745i | 0.604295 | + | 1.32322i | ||||
\(765\) | −0.670632 | + | 4.34009i | −0.0242467 | + | 0.156916i | ||||
\(766\) | 0.613395 | + | 2.08903i | 0.0221629 | + | 0.0754798i | ||||
\(767\) | −3.49594 | − | 16.0706i | −0.126231 | − | 0.580275i | ||||
\(768\) | −9.67130 | − | 25.9298i | −0.348983 | − | 0.935660i | ||||
\(769\) | −47.9122 | − | 14.0683i | −1.72776 | − | 0.507316i | −0.741279 | − | 0.671197i | \(-0.765781\pi\) |
−0.986480 | + | 0.163881i | \(0.947599\pi\) | |||||||
\(770\) | −0.0773596 | + | 0.942357i | −0.00278785 | + | 0.0339602i | ||||
\(771\) | −17.0597 | − | 19.6879i | −0.614390 | − | 0.709044i | ||||
\(772\) | 13.9688 | + | 25.5820i | 0.502749 | + | 0.920716i | ||||
\(773\) | −42.2821 | + | 15.7704i | −1.52078 | + | 0.567223i | −0.964572 | − | 0.263819i | \(-0.915018\pi\) |
−0.556210 | + | 0.831042i | \(0.687745\pi\) | |||||||
\(774\) | 0.129069 | + | 0.0829473i | 0.00463927 | + | 0.00298148i | ||||
\(775\) | 0.389556 | + | 1.43782i | 0.0139933 | + | 0.0516480i | ||||
\(776\) | 1.66381 | + | 0.239220i | 0.0597273 | + | 0.00858749i | ||||
\(777\) | −12.2301 | + | 32.7901i | −0.438751 | + | 1.17634i | ||||
\(778\) | 1.47208 | − | 1.96647i | 0.0527767 | − | 0.0705015i | ||||
\(779\) | 10.9079 | − | 7.01009i | 0.390816 | − | 0.251163i | ||||
\(780\) | 1.22980 | + | 20.1716i | 0.0440341 | + | 0.722260i | ||||
\(781\) | − | 12.2885i | − | 0.439716i | ||||||
\(782\) | −1.40939 | − | 2.35052i | −0.0503996 | − | 0.0840543i | ||||
\(783\) | −12.0512 | + | 12.0512i | −0.430676 | + | 0.430676i | ||||
\(784\) | −51.2619 | − | 44.4187i | −1.83078 | − | 1.58638i | ||||
\(785\) | −1.57840 | − | 2.51373i | −0.0563356 | − | 0.0897190i | ||||
\(786\) | −0.340288 | − | 2.36675i | −0.0121377 | − | 0.0844193i | ||||
\(787\) | 8.45004 | + | 3.15170i | 0.301211 | + | 0.112346i | 0.495526 | − | 0.868593i | \(-0.334975\pi\) |
−0.194314 | + | 0.980939i | \(0.562248\pi\) | |||||||
\(788\) | 10.2780 | + | 13.7298i | 0.366140 | + | 0.489105i | ||||
\(789\) | −30.3488 | + | 8.91121i | −1.08045 | + | 0.317247i | ||||
\(790\) | 2.86678 | + | 1.88522i | 0.101995 | + | 0.0670732i | ||||
\(791\) | 33.4241 | − | 73.1886i | 1.18842 | − | 2.60229i | ||||
\(792\) | 0.111793 | − | 0.0610438i | 0.00397241 | − | 0.00216910i | ||||
\(793\) | −1.72610 | + | 24.1340i | −0.0612955 | + | 0.857023i | ||||
\(794\) | −1.47571 | + | 1.27871i | −0.0523710 | + | 0.0453797i | ||||
\(795\) | −15.4660 | + | 8.23530i | −0.548523 | + | 0.292076i | ||||
\(796\) | 11.0213 | + | 5.03328i | 0.390641 | + | 0.178400i | ||||
\(797\) | −19.3514 | + | 4.20965i | −0.685464 | + | 0.149113i | −0.541793 | − | 0.840512i | \(-0.682254\pi\) |
−0.143671 | + | 0.989626i | \(0.545891\pi\) | |||||||
\(798\) | 1.34975 | − | 2.47189i | 0.0477808 | − | 0.0875040i | ||||
\(799\) | 3.44649 | − | 23.9709i | 0.121928 | − | 0.848029i | ||||
\(800\) | −5.98909 | − | 2.37835i | −0.211746 | − | 0.0840873i | ||||
\(801\) | 2.35479 | − | 0.338568i | 0.0832024 | − | 0.0119627i | ||||
\(802\) | 0.482167 | − | 2.21649i | 0.0170259 | − | 0.0782668i | ||||
\(803\) | 3.86865 | − | 0.276691i | 0.136522 | − | 0.00976423i | ||||
\(804\) | −28.1562 | −0.992993 | ||||||||
\(805\) | −45.5832 | + | 26.6849i | −1.60660 | + | 0.940518i | ||||
\(806\) | 0.0798295 | 0.00281187 | ||||||||
\(807\) | −9.51363 | + | 0.680428i | −0.334896 | + | 0.0239522i | ||||
\(808\) | 0.240910 | − | 1.10744i | 0.00847518 | − | 0.0389598i | ||||
\(809\) | −35.1251 | + | 5.05023i | −1.23493 | + | 0.177557i | −0.728696 | − | 0.684837i | \(-0.759873\pi\) |
−0.506238 | + | 0.862394i | \(0.668964\pi\) | |||||||
\(810\) | −0.980096 | − | 2.20720i | −0.0344371 | − | 0.0775531i | ||||
\(811\) | −6.00846 | + | 41.7898i | −0.210986 | + | 1.46744i | 0.558890 | + | 0.829242i | \(0.311228\pi\) |
−0.769875 | + | 0.638195i | \(0.779682\pi\) | |||||||
\(812\) | 16.5754 | − | 30.3555i | 0.581682 | − | 1.06527i | ||||
\(813\) | 3.00637 | − | 0.653997i | 0.105438 | − | 0.0229367i | ||||
\(814\) | −0.302165 | − | 0.137994i | −0.0105909 | − | 0.00483669i | ||||
\(815\) | 1.45615 | − | 4.77308i | 0.0510068 | − | 0.167194i | ||||
\(816\) | 28.7927 | − | 24.9490i | 1.00795 | − | 0.873390i | ||||
\(817\) | 0.781910 | − | 10.9325i | 0.0273556 | − | 0.382481i | ||||
\(818\) | 0.694180 | − | 0.379051i | 0.0242714 | − | 0.0132532i | ||||
\(819\) | 1.88417 | − | 4.12575i | 0.0658381 | − | 0.144165i | ||||
\(820\) | 4.05367 | + | 19.6250i | 0.141560 | + | 0.685336i | ||||
\(821\) | 42.0954 | − | 12.3603i | 1.46914 | − | 0.431379i | 0.553321 | − | 0.832968i | \(-0.313360\pi\) |
0.915820 | + | 0.401589i | \(0.131542\pi\) | |||||||
\(822\) | −1.38833 | − | 1.85460i | −0.0484237 | − | 0.0646865i | ||||
\(823\) | 39.3016 | + | 14.6587i | 1.36997 | + | 0.510971i | 0.923420 | − | 0.383790i | \(-0.125381\pi\) |
0.446546 | + | 0.894761i | \(0.352654\pi\) | |||||||
\(824\) | −0.697601 | − | 4.85192i | −0.0243021 | − | 0.169025i | ||||
\(825\) | −1.69708 | + | 7.08145i | −0.0590849 | + | 0.246545i | ||||
\(826\) | −2.67710 | − | 2.31972i | −0.0931482 | − | 0.0807134i | ||||
\(827\) | 26.1573 | − | 26.1573i | 0.909578 | − | 0.909578i | −0.0866596 | − | 0.996238i | \(-0.527619\pi\) |
0.996238 | + | 0.0866596i | \(0.0276192\pi\) | |||||||
\(828\) | 3.17938 | + | 1.57311i | 0.110491 | + | 0.0546693i | ||||
\(829\) | 7.75893i | 0.269479i | 0.990881 | + | 0.134739i | \(0.0430197\pi\) | ||||
−0.990881 | + | 0.134739i | \(0.956980\pi\) | |||||||
\(830\) | −1.08792 | + | 0.0663270i | −0.0377621 | + | 0.00230225i | ||||
\(831\) | −34.5952 | + | 22.2330i | −1.20010 | + | 0.771255i | ||||
\(832\) | 11.4523 | − | 15.2985i | 0.397038 | − | 0.530380i | ||||
\(833\) | 31.8442 | − | 85.3777i | 1.10334 | − | 2.95816i | ||||
\(834\) | −2.02459 | − | 0.291092i | −0.0701059 | − | 0.0100797i | ||||
\(835\) | −33.5882 | + | 9.48018i | −1.16237 | + | 0.328075i | ||||
\(836\) | −3.81623 | − | 2.45254i | −0.131987 | − | 0.0848230i | ||||
\(837\) | 1.34710 | − | 0.502444i | 0.0465627 | − | 0.0173670i | ||||
\(838\) | −1.16061 | − | 2.12550i | −0.0400925 | − | 0.0734240i | ||||
\(839\) | −30.0770 | − | 34.7107i | −1.03837 | − | 1.19835i | −0.979783 | − | 0.200063i | \(-0.935885\pi\) |
−0.0585894 | − | 0.998282i | \(-0.518660\pi\) | |||||||
\(840\) | 5.64801 | + | 6.65825i | 0.194875 | + | 0.229731i | ||||
\(841\) | −15.8580 | − | 4.65632i | −0.546826 | − | 0.160563i | ||||
\(842\) | −1.24916 | − | 3.34913i | −0.0430489 | − | 0.115419i | ||||
\(843\) | 0.846597 | + | 3.89174i | 0.0291583 | + | 0.134039i | ||||
\(844\) | −8.79931 | − | 29.9677i | −0.302885 | − | 1.03153i | ||||
\(845\) | 12.3985 | − | 9.07965i | 0.426520 | − | 0.312349i | ||||
\(846\) | −0.0767333 | − | 0.168023i | −0.00263815 | − | 0.00577673i | ||||
\(847\) | 40.8930 | + | 30.6121i | 1.40510 | + | 1.05185i | ||||
\(848\) | 16.3865 | + | 3.56467i | 0.562715 | + | 0.122411i | ||||
\(849\) | 30.0162 | − | 34.6405i | 1.03015 | − | 1.18886i | ||||
\(850\) | 0.0600465 | − | 2.85672i | 0.00205958 | − | 0.0979847i | ||||
\(851\) | −3.37935 | − | 18.2464i | −0.115843 | − | 0.625477i | ||||
\(852\) | −40.0010 | − | 40.0010i | −1.37041 | − | 1.37041i | ||||
\(853\) | −2.62080 | − | 36.6436i | −0.0897345 | − | 1.25465i | −0.820349 | − | 0.571863i | \(-0.806221\pi\) |
0.730615 | − | 0.682790i | \(-0.239234\pi\) | |||||||
\(854\) | 2.81748 | + | 4.38409i | 0.0964123 | + | 0.150020i | ||||
\(855\) | 1.45409 | − | 1.90047i | 0.0497287 | − | 0.0649948i | ||||
\(856\) | 3.87594 | − | 1.77008i | 0.132477 | − | 0.0605001i | ||||
\(857\) | 44.2949 | − | 33.1587i | 1.51308 | − | 1.13268i | 0.560603 | − | 0.828085i | \(-0.310570\pi\) |
0.952482 | − | 0.304596i | \(-0.0985213\pi\) | |||||||
\(858\) | 0.342501 | + | 0.187020i | 0.0116928 | + | 0.00638474i | ||||
\(859\) | −7.98822 | + | 12.4299i | −0.272555 | + | 0.424103i | −0.950367 | − | 0.311132i | \(-0.899292\pi\) |
0.677812 | + | 0.735235i | \(0.262928\pi\) | |||||||
\(860\) | 15.3338 | + | 7.19838i | 0.522878 | + | 0.245463i | ||||
\(861\) | 11.4854 | − | 39.1158i | 0.391422 | − | 1.33306i | ||||
\(862\) | 0.486491 | + | 0.0347945i | 0.0165699 | + | 0.00118511i | ||||
\(863\) | 36.9504 | + | 2.64275i | 1.25781 | + | 0.0899602i | 0.684276 | − | 0.729223i | \(-0.260118\pi\) |
0.573532 | + | 0.819183i | \(0.305573\pi\) | |||||||
\(864\) | −1.75224 | + | 5.96759i | −0.0596125 | + | 0.203021i | ||||
\(865\) | 7.42776 | + | 3.48693i | 0.252551 | + | 0.118559i | ||||
\(866\) | 0.667441 | − | 1.03856i | 0.0226806 | − | 0.0352916i | ||||
\(867\) | 17.5225 | + | 9.56803i | 0.595097 | + | 0.324947i | ||||
\(868\) | −2.33574 | + | 1.74851i | −0.0792801 | + | 0.0593484i | ||||
\(869\) | −10.2268 | + | 4.67044i | −0.346921 | + | 0.158434i | ||||
\(870\) | −0.953836 | + | 1.24665i | −0.0323381 | + | 0.0422655i | ||||
\(871\) | −10.3205 | − | 16.0590i | −0.349696 | − | 0.544137i | ||||
\(872\) | 0.549227 | + | 7.67920i | 0.0185992 | + | 0.260051i | ||||
\(873\) | −1.02421 | − | 1.02421i | −0.0346643 | − | 0.0346643i | ||||
\(874\) | 0.0602145 | + | 1.49215i | 0.00203679 | + | 0.0504729i | ||||
\(875\) | −55.0409 | − | 1.73571i | −1.86072 | − | 0.0586776i | ||||
\(876\) | 11.6924 | − | 13.4938i | 0.395050 | − | 0.455912i | ||||
\(877\) | −11.7842 | − | 2.56350i | −0.397925 | − | 0.0865634i | 0.00914951 | − | 0.999958i | \(-0.497088\pi\) |
−0.407075 | + | 0.913395i | \(0.633451\pi\) | |||||||
\(878\) | −0.437395 | − | 0.327430i | −0.0147614 | − | 0.0110502i | ||||
\(879\) | −1.16476 | − | 2.55047i | −0.0392864 | − | 0.0860253i | ||||
\(880\) | 5.62285 | − | 4.11773i | 0.189546 | − | 0.138809i | ||||
\(881\) | 7.53089 | + | 25.6479i | 0.253722 | + | 0.864099i | 0.983576 | + | 0.180495i | \(0.0577700\pi\) |
−0.729854 | + | 0.683603i | \(0.760412\pi\) | |||||||
\(882\) | −0.147739 | − | 0.679145i | −0.00497463 | − | 0.0228680i | ||||
\(883\) | −9.99980 | − | 26.8105i | −0.336520 | − | 0.902245i | −0.989456 | − | 0.144832i | \(-0.953736\pi\) |
0.652936 | − | 0.757413i | \(-0.273537\pi\) | |||||||
\(884\) | 24.9313 | + | 7.32048i | 0.838529 | + | 0.246214i | ||||
\(885\) | −17.6477 | − | 20.8043i | −0.593220 | − | 0.699328i | ||||
\(886\) | 0.524525 | + | 0.605334i | 0.0176217 | + | 0.0203366i | ||||
\(887\) | 13.5556 | + | 24.8252i | 0.455152 | + | 0.833549i | 0.999988 | − | 0.00499390i | \(-0.00158962\pi\) |
−0.544835 | + | 0.838543i | \(0.683408\pi\) | |||||||
\(888\) | −2.87403 | + | 1.07196i | −0.0964460 | + | 0.0359725i | ||||
\(889\) | 41.2031 | + | 26.4796i | 1.38191 | + | 0.888098i | ||||
\(890\) | −1.48968 | + | 0.420457i | −0.0499341 | + | 0.0140938i | ||||
\(891\) | 7.83284 | + | 1.12619i | 0.262410 | + | 0.0377288i | ||||
\(892\) | −5.84840 | + | 15.6802i | −0.195819 | + | 0.525010i | ||||
\(893\) | −7.90797 | + | 10.5638i | −0.264630 | + | 0.353504i | ||||
\(894\) | 1.50040 | − | 0.964246i | 0.0501808 | − | 0.0322492i | ||||
\(895\) | −24.4878 | + | 1.49295i | −0.818536 | + | 0.0499037i | ||||
\(896\) | − | 16.8120i | − | 0.561649i | ||||||
\(897\) | 2.43064 | + | 21.6636i | 0.0811567 | + | 0.723326i | ||||
\(898\) | 0.329830 | − | 0.329830i | 0.0110066 | − | 0.0110066i | ||||
\(899\) | −0.795192 | − | 0.689038i | −0.0265212 | − | 0.0229807i | ||||
\(900\) | 1.93362 | + | 3.15252i | 0.0644540 | + | 0.105084i | ||||
\(901\) | 3.20618 | + | 22.2995i | 0.106813 | + | 0.742903i | ||||
\(902\) | 0.362559 | + | 0.135228i | 0.0120719 | + | 0.00450258i | ||||
\(903\) | −20.6515 | − | 27.5872i | −0.687239 | − | 0.918044i | ||||
\(904\) | 6.76655 | − | 1.98684i | 0.225052 | − | 0.0660813i | ||||
\(905\) | 1.33912 | + | 6.48307i | 0.0445138 | + | 0.215505i | ||||
\(906\) | 0.389270 | − | 0.852382i | 0.0129326 | − | 0.0283185i | ||||
\(907\) | 4.71412 | − | 2.57411i | 0.156530 | − | 0.0854718i | −0.399075 | − | 0.916918i | \(-0.630669\pi\) |
0.555605 | + | 0.831447i | \(0.312487\pi\) | |||||||
\(908\) | −0.792532 | + | 11.0811i | −0.0263011 | + | 0.367738i | ||||
\(909\) | −0.738071 | + | 0.639542i | −0.0244803 | + | 0.0212123i | ||||
\(910\) | −0.861117 | + | 2.82263i | −0.0285458 | + | 0.0935692i | ||||
\(911\) | 28.7911 | + | 13.1485i | 0.953892 | + | 0.435628i | 0.830679 | − | 0.556752i | \(-0.187953\pi\) |
0.123214 | + | 0.992380i | \(0.460680\pi\) | |||||||
\(912\) | −20.2849 | + | 4.41272i | −0.671701 | + | 0.146120i | ||||
\(913\) | 1.71161 | − | 3.13457i | 0.0566459 | − | 0.103739i | ||||
\(914\) | −0.216143 | + | 1.50331i | −0.00714938 | + | 0.0497250i | ||||
\(915\) | 16.2883 | + | 36.6816i | 0.538474 | + | 1.21266i | ||||
\(916\) | −35.2860 | + | 5.07335i | −1.16588 | + | 0.167628i | ||||
\(917\) | −12.5945 | + | 57.8962i | −0.415908 | + | 1.91190i | ||||
\(918\) | −2.75077 | + | 0.196739i | −0.0907889 | + | 0.00649335i | ||||
\(919\) | −30.2174 | −0.996779 | −0.498389 | − | 0.866953i | \(-0.666075\pi\) | ||||
−0.498389 | + | 0.866953i | \(0.666075\pi\) | |||||||
\(920\) | −4.38401 | − | 1.48781i | −0.144537 | − | 0.0490516i | ||||
\(921\) | −11.4123 | −0.376049 | ||||||||
\(922\) | 1.52893 | − | 0.109351i | 0.0503526 | − | 0.00360129i | ||||
\(923\) | 8.15256 | − | 37.4767i | 0.268345 | − | 1.23356i | ||||
\(924\) | −14.1176 | + | 2.02980i | −0.464434 | + | 0.0667755i | ||||
\(925\) | 7.14040 | − | 17.9808i | 0.234775 | − | 0.591204i | ||||
\(926\) | 0.231209 | − | 1.60809i | 0.00759799 | − | 0.0528452i | ||||
\(927\) | −2.02431 | + | 3.70724i | −0.0664869 | + | 0.121762i | ||||
\(928\) | 4.44761 | − | 0.967518i | 0.146000 | − | 0.0317603i | ||||
\(929\) | −47.3922 | − | 21.6433i | −1.55489 | − | 0.710093i | −0.561778 | − | 0.827288i | \(-0.689882\pi\) |
−0.993109 | + | 0.117195i | \(0.962610\pi\) | |||||||
\(930\) | 0.116883 | − | 0.0622374i | 0.00383274 | − | 0.00204085i | ||||
\(931\) | −37.5246 | + | 32.5152i | −1.22982 | + | 1.06564i | ||||
\(932\) | 2.76938 | − | 38.7210i | 0.0907140 | − | 1.26835i | ||||
\(933\) | 6.64434 | − | 3.62809i | 0.217526 | − | 0.118778i | ||||
\(934\) | 0.680687 | − | 1.49050i | 0.0222728 | − | 0.0487705i | ||||
\(935\) | 7.82285 | + | 5.14439i | 0.255835 | + | 0.168240i | ||||
\(936\) | 0.381440 | − | 0.112001i | 0.0124678 | − | 0.00366087i | ||||
\(937\) | −16.6386 | − | 22.2265i | −0.543558 | − | 0.726108i | 0.441704 | − | 0.897161i | \(-0.354374\pi\) |
−0.985262 | + | 0.171053i | \(0.945283\pi\) | |||||||
\(938\) | −3.85232 | − | 1.43684i | −0.125783 | − | 0.0469145i | ||||
\(939\) | −1.33365 | − | 9.27573i | −0.0435220 | − | 0.302702i | ||||
\(940\) | −10.8450 | − | 17.2715i | −0.353725 | − | 0.563335i | ||||
\(941\) | −40.6073 | − | 35.1864i | −1.32376 | − | 1.14704i | −0.977973 | − | 0.208731i | \(-0.933067\pi\) |
−0.345787 | − | 0.938313i | \(-0.612388\pi\) | |||||||
\(942\) | −0.186572 | + | 0.186572i | −0.00607883 | + | 0.00607883i | ||||
\(943\) | 5.44284 | + | 20.9200i | 0.177243 | + | 0.681247i | ||||
\(944\) | 26.1100i | 0.849808i | ||||||||
\(945\) | 3.23436 | + | 53.0510i | 0.105214 | + | 1.72575i | ||||
\(946\) | 0.275171 | − | 0.176842i | 0.00894659 | − | 0.00574963i | ||||
\(947\) | 18.0908 | − | 24.1664i | 0.587871 | − | 0.785303i | −0.403697 | − | 0.914893i | \(-0.632275\pi\) |
0.991568 | + | 0.129589i | \(0.0413659\pi\) | |||||||
\(948\) | −18.0870 | + | 48.4930i | −0.587437 | + | 1.57498i | ||||
\(949\) | 11.9820 | + | 1.72275i | 0.388952 | + | 0.0559228i | ||||
\(950\) | −0.774716 | + | 1.35052i | −0.0251351 | + | 0.0438165i | ||||
\(951\) | 48.3415 | + | 31.0672i | 1.56758 | + | 1.00742i | ||||
\(952\) | 10.5182 | − | 3.92309i | 0.340897 | − | 0.127148i | ||||
\(953\) | 9.43451 | + | 17.2780i | 0.305614 | + | 0.559690i | 0.984677 | − | 0.174390i | \(-0.0557954\pi\) |
−0.679063 | + | 0.734080i | \(0.737614\pi\) | |||||||
\(954\) | 0.112528 | + | 0.129864i | 0.00364323 | + | 0.00420452i | ||||
\(955\) | −3.69965 | + | 45.0673i | −0.119718 | + | 1.45834i | ||||
\(956\) | −10.9141 | − | 3.20466i | −0.352986 | − | 0.103646i | ||||
\(957\) | −1.79746 | − | 4.81918i | −0.0581037 | − | 0.155782i | ||||
\(958\) | 0.0258898 | + | 0.119013i | 0.000836460 | + | 0.00384514i | ||||
\(959\) | 16.1732 | + | 55.0809i | 0.522260 | + | 1.77865i | ||||
\(960\) | 4.84080 | − | 31.3280i | 0.156236 | − | 1.01111i | ||||
\(961\) | −12.8410 | − | 28.1179i | −0.414226 | − | 0.907027i | ||||
\(962\) | −0.829978 | − | 0.621314i | −0.0267596 | − | 0.0200320i | ||||
\(963\) | −3.58780 | − | 0.780479i | −0.115615 | − | 0.0251506i | ||||
\(964\) | 19.2369 | − | 22.2006i | 0.619579 | − | 0.715032i | ||||
\(965\) | −0.344448 | + | 32.7779i | −0.0110882 | + | 1.05516i | ||||
\(966\) | 3.21534 | + | 3.42160i | 0.103452 | + | 0.110088i | ||||
\(967\) | 16.8032 | + | 16.8032i | 0.540355 | + | 0.540355i | 0.923633 | − | 0.383278i | \(-0.125205\pi\) |
−0.383278 | + | 0.923633i | \(0.625205\pi\) | |||||||
\(968\) | 0.319405 | + | 4.46587i | 0.0102661 | + | 0.143538i | ||||
\(969\) | −15.0777 | − | 23.4613i | −0.484364 | − | 0.753685i | ||||
\(970\) | 0.748473 | + | 0.572670i | 0.0240320 | + | 0.0183873i | ||||
\(971\) | −34.9478 | + | 15.9601i | −1.12153 | + | 0.512185i | −0.887852 | − | 0.460129i | \(-0.847803\pi\) |
−0.233677 | + | 0.972314i | \(0.575076\pi\) | |||||||
\(972\) | 6.11944 | − | 4.58095i | 0.196281 | − | 0.146934i | ||||
\(973\) | 44.4846 | + | 24.2904i | 1.42611 | + | 0.778716i | ||||
\(974\) | 1.61015 | − | 2.50545i | 0.0515926 | − | 0.0802797i | ||||
\(975\) | −9.87375 | + | 20.4708i | −0.316213 | + | 0.655589i | ||||
\(976\) | 10.8221 | − | 36.8565i | 0.346405 | − | 1.17975i | ||||
\(977\) | 49.3040 | + | 3.52629i | 1.57737 | + | 0.112816i | 0.832361 | − | 0.554233i | \(-0.186988\pi\) |
0.745013 | + | 0.667049i | \(0.232443\pi\) | |||||||
\(978\) | −0.442468 | − | 0.0316460i | −0.0141486 | − | 0.00101193i | ||||
\(979\) | 1.42894 | − | 4.86654i | 0.0456692 | − | 0.155535i | ||||
\(980\) | −26.0599 | − | 72.1767i | −0.832453 | − | 2.30560i | ||||
\(981\) | 3.58666 | − | 5.58096i | 0.114513 | − | 0.178186i | ||||
\(982\) | −2.47933 | − | 1.35382i | −0.0791186 | − | 0.0432020i | ||||
\(983\) | 9.35296 | − | 7.00154i | 0.298313 | − | 0.223314i | −0.439627 | − | 0.898180i | \(-0.644889\pi\) |
0.737940 | + | 0.674866i | \(0.235799\pi\) | |||||||
\(984\) | 3.25030 | − | 1.48436i | 0.103616 | − | 0.0473198i | ||||
\(985\) | 2.54421 | + | 19.1195i | 0.0810653 | + | 0.609199i | ||||
\(986\) | 1.09114 | + | 1.69785i | 0.0347490 | + | 0.0540705i | ||||
\(987\) | 2.95979 | + | 41.3832i | 0.0942110 | + | 1.31724i | ||||
\(988\) | −10.0115 | − | 10.0115i | −0.318507 | − | 0.318507i | ||||
\(989\) | 16.9138 | + | 6.91430i | 0.537827 | + | 0.219862i | ||||
\(990\) | 0.0714095 | 0.000750409i | 0.00226954 | 2.38496e-5i | ||||||
\(991\) | 8.60417 | − | 9.92974i | 0.273320 | − | 0.315429i | −0.602450 | − | 0.798157i | \(-0.705809\pi\) |
0.875770 | + | 0.482728i | \(0.160354\pi\) | |||||||
\(992\) | −0.375202 | − | 0.0816202i | −0.0119127 | − | 0.00259144i | ||||
\(993\) | −28.8147 | − | 21.5704i | −0.914408 | − | 0.684517i | ||||
\(994\) | −3.43162 | − | 7.51420i | −0.108844 | − | 0.238336i | ||||
\(995\) | 8.05081 | + | 10.9936i | 0.255228 | + | 0.348519i | ||||
\(996\) | −4.63199 | − | 15.7751i | −0.146770 | − | 0.499853i | ||||
\(997\) | −3.52027 | − | 16.1824i | −0.111488 | − | 0.512503i | −0.998692 | − | 0.0511256i | \(-0.983719\pi\) |
0.887204 | − | 0.461377i | \(-0.152645\pi\) | |||||||
\(998\) | 0.482148 | + | 1.29269i | 0.0152621 | + | 0.0409194i | ||||
\(999\) | −17.9162 | − | 5.26067i | −0.566844 | − | 0.166440i |
(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 | 115.2.l.a.7.6 | ✓ | 200 | |
5.2 | odd | 4 | 575.2.r.b.168.6 | 200 | |||
5.3 | odd | 4 | inner | 115.2.l.a.53.5 | yes | 200 | |
5.4 | even | 2 | 575.2.r.b.7.5 | 200 | |||
23.10 | odd | 22 | inner | 115.2.l.a.102.5 | yes | 200 | |
115.33 | even | 44 | inner | 115.2.l.a.33.6 | yes | 200 | |
115.79 | odd | 22 | 575.2.r.b.332.6 | 200 | |||
115.102 | even | 44 | 575.2.r.b.493.5 | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.l.a.7.6 | ✓ | 200 | 1.1 | even | 1 | trivial | |
115.2.l.a.33.6 | yes | 200 | 115.33 | even | 44 | inner | |
115.2.l.a.53.5 | yes | 200 | 5.3 | odd | 4 | inner | |
115.2.l.a.102.5 | yes | 200 | 23.10 | odd | 22 | inner | |
575.2.r.b.7.5 | 200 | 5.4 | even | 2 | |||
575.2.r.b.168.6 | 200 | 5.2 | odd | 4 | |||
575.2.r.b.332.6 | 200 | 115.79 | odd | 22 | |||
575.2.r.b.493.5 | 200 | 115.102 | even | 44 |