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 | 151.3 | ||
Character | \(\chi\) | \(=\) | 483.151 |
Dual form | 483.2.y.b.16.3 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.695372 | + | 2.00914i | −0.491702 | + | 1.42068i | 0.377401 | + | 0.926050i | \(0.376818\pi\) |
−0.869104 | + | 0.494630i | \(0.835304\pi\) | |||||||
\(3\) | −0.888835 | + | 0.458227i | −0.513169 | + | 0.264557i | ||||
\(4\) | −1.98101 | − | 1.55789i | −0.990507 | − | 0.778944i | ||||
\(5\) | 1.53680 | − | 0.146746i | 0.687276 | − | 0.0656269i | 0.254425 | − | 0.967092i | \(-0.418114\pi\) |
0.432851 | + | 0.901466i | \(0.357508\pi\) | |||||||
\(6\) | −0.302572 | − | 2.10444i | −0.123525 | − | 0.859133i | ||||
\(7\) | 0.278867 | + | 2.63101i | 0.105402 | + | 0.994430i | ||||
\(8\) | 0.930423 | − | 0.597946i | 0.328954 | − | 0.211406i | ||||
\(9\) | 0.580057 | − | 0.814576i | 0.193352 | − | 0.271525i | ||||
\(10\) | −0.773810 | + | 3.18969i | −0.244700 | + | 1.00867i | ||||
\(11\) | 1.64903 | + | 4.76457i | 0.497203 | + | 1.43657i | 0.862679 | + | 0.505752i | \(0.168785\pi\) |
−0.365477 | + | 0.930821i | \(0.619094\pi\) | |||||||
\(12\) | 2.47466 | + | 0.476952i | 0.714373 | + | 0.137684i | ||||
\(13\) | 5.59522 | − | 1.64291i | 1.55184 | − | 0.455660i | 0.610187 | − | 0.792257i | \(-0.291094\pi\) |
0.941649 | + | 0.336597i | \(0.109276\pi\) | |||||||
\(14\) | −5.48000 | − | 1.26925i | −1.46459 | − | 0.339221i | ||||
\(15\) | −1.29872 | + | 0.834634i | −0.335327 | + | 0.215502i | ||||
\(16\) | −0.633951 | − | 2.61318i | −0.158488 | − | 0.653295i | ||||
\(17\) | 1.71634 | + | 0.687119i | 0.416274 | + | 0.166651i | 0.570338 | − | 0.821410i | \(-0.306812\pi\) |
−0.154065 | + | 0.988061i | \(0.549236\pi\) | |||||||
\(18\) | 1.23325 | + | 1.73185i | 0.290679 | + | 0.408201i | ||||
\(19\) | −5.97581 | + | 2.39235i | −1.37094 | + | 0.548843i | −0.936123 | − | 0.351674i | \(-0.885613\pi\) |
−0.434821 | + | 0.900517i | \(0.643188\pi\) | |||||||
\(20\) | −3.27303 | − | 2.10345i | −0.731872 | − | 0.470345i | ||||
\(21\) | −1.45347 | − | 2.21075i | −0.317173 | − | 0.482426i | ||||
\(22\) | −10.7194 | −2.28538 | ||||||||
\(23\) | −4.08657 | + | 2.50997i | −0.852109 | + | 0.523364i | ||||
\(24\) | −0.552998 | + | 0.957820i | −0.112880 | + | 0.195514i | ||||
\(25\) | −2.56943 | + | 0.495218i | −0.513887 | + | 0.0990436i | ||||
\(26\) | −0.589925 | + | 12.3840i | −0.115694 | + | 2.42871i | ||||
\(27\) | −0.142315 | + | 0.989821i | −0.0273885 | + | 0.190491i | ||||
\(28\) | 3.54638 | − | 5.64652i | 0.670203 | − | 1.06709i | ||||
\(29\) | 0.309018 | + | 2.14926i | 0.0573831 | + | 0.399108i | 0.998189 | + | 0.0601616i | \(0.0191616\pi\) |
−0.940806 | + | 0.338947i | \(0.889929\pi\) | |||||||
\(30\) | −0.773810 | − | 3.18969i | −0.141278 | − | 0.582355i | ||||
\(31\) | −0.253419 | − | 5.31991i | −0.0455153 | − | 0.955485i | −0.899968 | − | 0.435956i | \(-0.856410\pi\) |
0.854453 | − | 0.519529i | \(-0.173893\pi\) | |||||||
\(32\) | 7.89306 | + | 0.753696i | 1.39531 | + | 0.133236i | ||||
\(33\) | −3.64897 | − | 3.47929i | −0.635205 | − | 0.605666i | ||||
\(34\) | −2.57402 | + | 2.97057i | −0.441440 | + | 0.509449i | ||||
\(35\) | 0.814653 | + | 4.00241i | 0.137702 | + | 0.676531i | ||||
\(36\) | −2.41812 | + | 0.710024i | −0.403020 | + | 0.118337i | ||||
\(37\) | 2.49405 | − | 3.50240i | 0.410019 | − | 0.575791i | −0.556995 | − | 0.830516i | \(-0.688046\pi\) |
0.967013 | + | 0.254725i | \(0.0819851\pi\) | |||||||
\(38\) | −0.651174 | − | 13.6698i | −0.105634 | − | 2.21754i | ||||
\(39\) | −4.22041 | + | 4.02415i | −0.675806 | + | 0.644380i | ||||
\(40\) | 1.34212 | − | 1.05546i | 0.212208 | − | 0.166883i | ||||
\(41\) | −0.514318 | + | 1.12620i | −0.0803230 | + | 0.175883i | −0.945533 | − | 0.325528i | \(-0.894458\pi\) |
0.865209 | + | 0.501411i | \(0.167185\pi\) | |||||||
\(42\) | 5.45242 | − | 1.38293i | 0.841327 | − | 0.213391i | ||||
\(43\) | −4.61679 | − | 2.96703i | −0.704053 | − | 0.452467i | 0.139004 | − | 0.990292i | \(-0.455610\pi\) |
−0.843057 | + | 0.537824i | \(0.819246\pi\) | |||||||
\(44\) | 4.15590 | − | 12.0077i | 0.626526 | − | 1.81023i | ||||
\(45\) | 0.771893 | − | 1.33696i | 0.115067 | − | 0.199302i | ||||
\(46\) | −2.20120 | − | 9.95587i | −0.324549 | − | 1.46791i | ||||
\(47\) | 1.17750 | + | 2.03949i | 0.171756 | + | 0.297490i | 0.939034 | − | 0.343825i | \(-0.111723\pi\) |
−0.767278 | + | 0.641315i | \(0.778389\pi\) | |||||||
\(48\) | 1.76091 | + | 2.03219i | 0.254165 | + | 0.293322i | ||||
\(49\) | −6.84447 | + | 1.46741i | −0.977781 | + | 0.209629i | ||||
\(50\) | 0.791748 | − | 5.50673i | 0.111970 | − | 0.778769i | ||||
\(51\) | −1.84040 | + | 0.175737i | −0.257708 | + | 0.0246081i | ||||
\(52\) | −13.6437 | − | 5.46211i | −1.89204 | − | 0.757458i | ||||
\(53\) | 4.76235 | − | 4.54089i | 0.654159 | − | 0.623740i | −0.288507 | − | 0.957478i | \(-0.593159\pi\) |
0.942666 | + | 0.333738i | \(0.108310\pi\) | |||||||
\(54\) | −1.88973 | − | 0.974225i | −0.257160 | − | 0.132575i | ||||
\(55\) | 3.23341 | + | 7.08019i | 0.435993 | + | 0.954692i | ||||
\(56\) | 1.83267 | + | 2.28121i | 0.244901 | + | 0.304839i | ||||
\(57\) | 4.21527 | − | 4.86468i | 0.558326 | − | 0.644343i | ||||
\(58\) | −4.53307 | − | 0.873677i | −0.595221 | − | 0.114719i | ||||
\(59\) | 0.0726728 | − | 0.299561i | 0.00946120 | − | 0.0389996i | −0.966885 | − | 0.255211i | \(-0.917855\pi\) |
0.976347 | + | 0.216212i | \(0.0693701\pi\) | |||||||
\(60\) | 3.87304 | + | 0.369831i | 0.500008 | + | 0.0477449i | ||||
\(61\) | −1.00295 | − | 0.517058i | −0.128415 | − | 0.0662026i | 0.392822 | − | 0.919615i | \(-0.371499\pi\) |
−0.521237 | + | 0.853412i | \(0.674529\pi\) | |||||||
\(62\) | 10.8647 | + | 3.19016i | 1.37982 | + | 0.405151i | ||||
\(63\) | 2.30492 | + | 1.29898i | 0.290393 | + | 0.163656i | ||||
\(64\) | −4.76881 | + | 10.4422i | −0.596102 | + | 1.30528i | ||||
\(65\) | 8.35763 | − | 3.34589i | 1.03664 | − | 0.415007i | ||||
\(66\) | 9.52779 | − | 4.91192i | 1.17279 | − | 0.604615i | ||||
\(67\) | −3.30229 | + | 0.636464i | −0.403439 | + | 0.0777564i | −0.386934 | − | 0.922107i | \(-0.626466\pi\) |
−0.0165046 | + | 0.999864i | \(0.505254\pi\) | |||||||
\(68\) | −2.32964 | − | 4.03506i | −0.282511 | − | 0.489323i | ||||
\(69\) | 2.48216 | − | 4.10352i | 0.298816 | − | 0.494006i | ||||
\(70\) | −8.60791 | − | 1.14641i | −1.02884 | − | 0.137022i | ||||
\(71\) | 9.95447 | + | 11.4881i | 1.18138 | + | 1.36338i | 0.916962 | + | 0.398975i | \(0.130634\pi\) |
0.264416 | + | 0.964409i | \(0.414821\pi\) | |||||||
\(72\) | 0.0526254 | − | 1.10474i | 0.00620196 | − | 0.130195i | ||||
\(73\) | 9.61321 | + | 7.55991i | 1.12514 | + | 0.884820i | 0.994304 | − | 0.106584i | \(-0.0339912\pi\) |
0.130837 | + | 0.991404i | \(0.458234\pi\) | |||||||
\(74\) | 5.30254 | + | 7.44637i | 0.616407 | + | 0.865623i | ||||
\(75\) | 2.05688 | − | 1.61755i | 0.237508 | − | 0.186779i | ||||
\(76\) | 15.5652 | + | 4.57035i | 1.78545 | + | 0.524255i | ||||
\(77\) | −12.0758 | + | 5.66731i | −1.37616 | + | 0.645850i | ||||
\(78\) | −5.15035 | − | 11.2777i | −0.583162 | − | 1.27695i | ||||
\(79\) | −9.47874 | − | 9.03796i | −1.06644 | − | 1.01685i | −0.999818 | − | 0.0190716i | \(-0.993929\pi\) |
−0.0666233 | − | 0.997778i | \(-0.521223\pi\) | |||||||
\(80\) | −1.35773 | − | 3.92290i | −0.151799 | − | 0.438593i | ||||
\(81\) | −0.327068 | − | 0.945001i | −0.0363409 | − | 0.105000i | ||||
\(82\) | −1.90506 | − | 1.81647i | −0.210378 | − | 0.200595i | ||||
\(83\) | −2.42922 | − | 5.31924i | −0.266641 | − | 0.583863i | 0.728193 | − | 0.685372i | \(-0.240360\pi\) |
−0.994835 | + | 0.101509i | \(0.967633\pi\) | |||||||
\(84\) | −0.564765 | + | 6.64387i | −0.0616209 | + | 0.724906i | ||||
\(85\) | 2.73850 | + | 0.804096i | 0.297032 | + | 0.0872164i | ||||
\(86\) | 9.17157 | − | 7.21260i | 0.988996 | − | 0.777755i | ||||
\(87\) | −1.25952 | − | 1.76874i | −0.135034 | − | 0.189629i | ||||
\(88\) | 4.38326 | + | 3.44703i | 0.467257 | + | 0.367455i | ||||
\(89\) | −0.691732 | + | 14.5212i | −0.0733235 | + | 1.53925i | 0.600060 | + | 0.799955i | \(0.295143\pi\) |
−0.673383 | + | 0.739294i | \(0.735160\pi\) | |||||||
\(90\) | 2.14939 | + | 2.48053i | 0.226566 | + | 0.261471i | ||||
\(91\) | 5.88283 | + | 14.2630i | 0.616688 | + | 1.49516i | ||||
\(92\) | 12.0058 | + | 1.39414i | 1.25169 | + | 0.145349i | ||||
\(93\) | 2.66297 | + | 4.61240i | 0.276137 | + | 0.478284i | ||||
\(94\) | −4.91643 | + | 0.947564i | −0.507091 | + | 0.0977337i | ||||
\(95\) | −8.83253 | + | 4.55349i | −0.906198 | + | 0.467178i | ||||
\(96\) | −7.36100 | + | 2.94690i | −0.751279 | + | 0.300767i | ||||
\(97\) | −2.45897 | + | 5.38440i | −0.249671 | + | 0.546703i | −0.992424 | − | 0.122863i | \(-0.960792\pi\) |
0.742753 | + | 0.669566i | \(0.233520\pi\) | |||||||
\(98\) | 1.81122 | − | 14.7719i | 0.182961 | − | 1.49219i | ||||
\(99\) | 4.83764 | + | 1.42046i | 0.486201 | + | 0.142761i | ||||
\(100\) | 5.86158 | + | 3.02186i | 0.586158 | + | 0.302186i | ||||
\(101\) | 9.94205 | + | 0.949351i | 0.989271 | + | 0.0944639i | 0.577127 | − | 0.816655i | \(-0.304174\pi\) |
0.412144 | + | 0.911119i | \(0.364780\pi\) | |||||||
\(102\) | 0.926682 | − | 3.81983i | 0.0917551 | − | 0.378220i | ||||
\(103\) | 17.7609 | + | 3.42314i | 1.75004 | + | 0.337292i | 0.960894 | − | 0.276918i | \(-0.0893130\pi\) |
0.789143 | + | 0.614210i | \(0.210525\pi\) | |||||||
\(104\) | 4.22355 | − | 4.87424i | 0.414153 | − | 0.477958i | ||||
\(105\) | −2.55810 | − | 3.18419i | −0.249645 | − | 0.310745i | ||||
\(106\) | 5.81171 | + | 12.7259i | 0.564483 | + | 1.23604i | ||||
\(107\) | −6.79223 | − | 3.50164i | −0.656630 | − | 0.338516i | 0.0975056 | − | 0.995235i | \(-0.468914\pi\) |
−0.754136 | + | 0.656719i | \(0.771944\pi\) | |||||||
\(108\) | 1.82396 | − | 1.73914i | 0.175510 | − | 0.167349i | ||||
\(109\) | 10.8820 | + | 4.35648i | 1.04230 | + | 0.417275i | 0.828728 | − | 0.559651i | \(-0.189065\pi\) |
0.213575 | + | 0.976927i | \(0.431489\pi\) | |||||||
\(110\) | −16.4735 | + | 1.57303i | −1.57069 | + | 0.149983i | ||||
\(111\) | −0.611905 | + | 4.25589i | −0.0580795 | + | 0.403952i | ||||
\(112\) | 6.69852 | − | 2.39666i | 0.632951 | − | 0.226463i | ||||
\(113\) | −13.6947 | − | 15.8045i | −1.28829 | − | 1.48677i | −0.780304 | − | 0.625401i | \(-0.784936\pi\) |
−0.507986 | − | 0.861365i | \(-0.669610\pi\) | |||||||
\(114\) | 6.84267 | + | 11.8518i | 0.640875 | + | 1.11003i | ||||
\(115\) | −5.91190 | + | 4.45700i | −0.551287 | + | 0.415617i | ||||
\(116\) | 2.73614 | − | 4.73914i | 0.254045 | − | 0.440018i | ||||
\(117\) | 1.90728 | − | 5.51071i | 0.176328 | − | 0.509466i | ||||
\(118\) | 0.551328 | + | 0.354317i | 0.0507538 | + | 0.0326175i | ||||
\(119\) | −1.32919 | + | 4.70733i | −0.121847 | + | 0.431520i | ||||
\(120\) | −0.709288 | + | 1.55312i | −0.0647489 | + | 0.141780i | ||||
\(121\) | −11.3352 | + | 8.91413i | −1.03048 | + | 0.810376i | ||||
\(122\) | 1.73627 | − | 1.65553i | 0.157195 | − | 0.149885i | ||||
\(123\) | −0.0589104 | − | 1.23668i | −0.00531177 | − | 0.111508i | ||||
\(124\) | −7.78580 | + | 10.9336i | −0.699185 | + | 0.981868i | ||||
\(125\) | −11.2823 | + | 3.31278i | −1.00912 | + | 0.296304i | ||||
\(126\) | −4.21261 | + | 3.72764i | −0.375289 | + | 0.332085i | ||||
\(127\) | 9.70632 | − | 11.2017i | 0.861296 | − | 0.993989i | −0.138697 | − | 0.990335i | \(-0.544291\pi\) |
0.999993 | − | 0.00365414i | \(-0.00116315\pi\) | |||||||
\(128\) | −6.18696 | − | 5.89926i | −0.546855 | − | 0.521425i | ||||
\(129\) | 5.46313 | + | 0.521666i | 0.481002 | + | 0.0459301i | ||||
\(130\) | 0.910718 | + | 19.1183i | 0.0798752 | + | 1.67679i | ||||
\(131\) | 1.48240 | + | 6.11054i | 0.129518 | + | 0.533880i | 0.999190 | + | 0.0402496i | \(0.0128153\pi\) |
−0.869672 | + | 0.493631i | \(0.835670\pi\) | |||||||
\(132\) | 1.80833 | + | 12.5772i | 0.157395 | + | 1.09471i | ||||
\(133\) | −7.96077 | − | 15.0553i | −0.690286 | − | 1.30546i | ||||
\(134\) | 1.01757 | − | 7.07735i | 0.0879047 | − | 0.611390i | ||||
\(135\) | −0.0734563 | + | 1.54204i | −0.00632211 | + | 0.132718i | ||||
\(136\) | 2.00778 | − | 0.386968i | 0.172166 | − | 0.0331823i | ||||
\(137\) | −4.32002 | + | 7.48250i | −0.369084 | + | 0.639273i | −0.989423 | − | 0.145062i | \(-0.953662\pi\) |
0.620338 | + | 0.784334i | \(0.286995\pi\) | |||||||
\(138\) | 6.51855 | + | 7.84048i | 0.554896 | + | 0.667426i | ||||
\(139\) | 13.4262 | 1.13879 | 0.569396 | − | 0.822063i | \(-0.307177\pi\) | ||||
0.569396 | + | 0.822063i | \(0.307177\pi\) | |||||||
\(140\) | 4.62146 | − | 9.19797i | 0.390585 | − | 0.777370i | ||||
\(141\) | −1.98115 | − | 1.27321i | −0.166843 | − | 0.107223i | ||||
\(142\) | −30.0033 | + | 12.0115i | −2.51782 | + | 1.00798i | ||||
\(143\) | 17.0545 | + | 23.9496i | 1.42617 | + | 2.00277i | ||||
\(144\) | −2.49636 | − | 0.999392i | −0.208030 | − | 0.0832827i | ||||
\(145\) | 0.790294 | + | 3.25764i | 0.0656303 | + | 0.270532i | ||||
\(146\) | −21.8737 | + | 14.0574i | −1.81028 | + | 1.16340i | ||||
\(147\) | 5.41120 | − | 4.44060i | 0.446308 | − | 0.366254i | ||||
\(148\) | −10.3971 | + | 3.05286i | −0.854635 | + | 0.250943i | ||||
\(149\) | 7.48570 | + | 1.44275i | 0.613253 | + | 0.118195i | 0.486414 | − | 0.873729i | \(-0.338305\pi\) |
0.126839 | + | 0.991923i | \(0.459517\pi\) | |||||||
\(150\) | 1.81959 | + | 5.25737i | 0.148569 | + | 0.429263i | ||||
\(151\) | 1.89690 | − | 7.81914i | 0.154368 | − | 0.636313i | −0.841072 | − | 0.540923i | \(-0.818075\pi\) |
0.995440 | − | 0.0953899i | \(-0.0304098\pi\) | |||||||
\(152\) | −4.12953 | + | 5.79911i | −0.334949 | + | 0.470370i | ||||
\(153\) | 1.55529 | − | 0.999521i | 0.125737 | − | 0.0808065i | ||||
\(154\) | −2.98929 | − | 28.2029i | −0.240884 | − | 2.27265i | ||||
\(155\) | −1.17013 | − | 8.13843i | −0.0939871 | − | 0.653695i | ||||
\(156\) | 14.6299 | − | 1.39698i | 1.17133 | − | 0.111848i | ||||
\(157\) | −0.628442 | − | 0.494212i | −0.0501551 | − | 0.0394424i | 0.592767 | − | 0.805374i | \(-0.298036\pi\) |
−0.642922 | + | 0.765932i | \(0.722278\pi\) | |||||||
\(158\) | 24.7498 | − | 12.7594i | 1.96899 | − | 1.01508i | ||||
\(159\) | −2.15219 | + | 6.21834i | −0.170680 | + | 0.493147i | ||||
\(160\) | 12.2406 | 0.967707 | ||||||||
\(161\) | −7.74337 | − | 10.0519i | −0.610263 | − | 0.792199i | ||||
\(162\) | 2.12608 | 0.167040 | ||||||||
\(163\) | 6.88554 | − | 19.8945i | 0.539317 | − | 1.55825i | −0.265119 | − | 0.964216i | \(-0.585411\pi\) |
0.804436 | − | 0.594039i | \(-0.202467\pi\) | |||||||
\(164\) | 2.77337 | − | 1.42977i | 0.216563 | − | 0.111646i | ||||
\(165\) | −6.11830 | − | 4.81149i | −0.476309 | − | 0.374574i | ||||
\(166\) | 12.3763 | − | 1.18180i | 0.960590 | − | 0.0917252i | ||||
\(167\) | −2.09282 | − | 14.5559i | −0.161947 | − | 1.12637i | −0.894958 | − | 0.446150i | \(-0.852795\pi\) |
0.733011 | − | 0.680217i | \(-0.238114\pi\) | |||||||
\(168\) | −2.67425 | − | 1.18784i | −0.206323 | − | 0.0916438i | ||||
\(169\) | 17.6711 | − | 11.3565i | 1.35931 | − | 0.873578i | ||||
\(170\) | −3.51982 | + | 4.94289i | −0.269958 | + | 0.379103i | ||||
\(171\) | −1.51756 | + | 6.25545i | −0.116050 | + | 0.478366i | ||||
\(172\) | 4.52362 | + | 13.0702i | 0.344923 | + | 0.996590i | ||||
\(173\) | 7.52057 | + | 1.44947i | 0.571778 | + | 0.110201i | 0.466941 | − | 0.884288i | \(-0.345356\pi\) |
0.104837 | + | 0.994489i | \(0.466568\pi\) | |||||||
\(174\) | 4.42949 | − | 1.30062i | 0.335799 | − | 0.0985995i | ||||
\(175\) | −2.01946 | − | 6.62212i | −0.152657 | − | 0.500585i | ||||
\(176\) | 11.4053 | − | 7.32973i | 0.859705 | − | 0.552499i | ||||
\(177\) | 0.0726728 | + | 0.299561i | 0.00546242 | + | 0.0225164i | ||||
\(178\) | −28.6943 | − | 11.4875i | −2.15073 | − | 0.861021i | ||||
\(179\) | 9.60815 | + | 13.4928i | 0.718147 | + | 1.00850i | 0.998814 | + | 0.0486913i | \(0.0155050\pi\) |
−0.280667 | + | 0.959805i | \(0.590556\pi\) | |||||||
\(180\) | −3.61196 | + | 1.44601i | −0.269220 | + | 0.107779i | ||||
\(181\) | −6.19395 | − | 3.98061i | −0.460392 | − | 0.295876i | 0.289810 | − | 0.957084i | \(-0.406408\pi\) |
−0.750203 | + | 0.661208i | \(0.770044\pi\) | |||||||
\(182\) | −32.7471 | + | 1.90140i | −2.42738 | + | 0.140941i | ||||
\(183\) | 1.12839 | 0.0834130 | ||||||||
\(184\) | −2.30141 | + | 4.77888i | −0.169662 | + | 0.352304i | ||||
\(185\) | 3.31888 | − | 5.74846i | 0.244009 | − | 0.422636i | ||||
\(186\) | −11.1187 | + | 2.14296i | −0.815266 | + | 0.157130i | ||||
\(187\) | −0.443524 | + | 9.31071i | −0.0324337 | + | 0.680866i | ||||
\(188\) | 0.844650 | − | 5.87467i | 0.0616024 | − | 0.428454i | ||||
\(189\) | −2.64392 | − | 0.0984036i | −0.192317 | − | 0.00715781i | ||||
\(190\) | −3.00672 | − | 20.9122i | −0.218130 | − | 1.51713i | ||||
\(191\) | −1.57332 | − | 6.48533i | −0.113842 | − | 0.469262i | −0.999983 | − | 0.00584664i | \(-0.998139\pi\) |
0.886141 | − | 0.463415i | \(-0.153376\pi\) | |||||||
\(192\) | −0.546223 | − | 11.4666i | −0.0394203 | − | 0.827533i | ||||
\(193\) | 14.3433 | + | 1.36962i | 1.03245 | + | 0.0985871i | 0.597501 | − | 0.801868i | \(-0.296160\pi\) |
0.434949 | + | 0.900455i | \(0.356766\pi\) | |||||||
\(194\) | −9.10814 | − | 8.68459i | −0.653926 | − | 0.623517i | ||||
\(195\) | −5.89538 | + | 6.80363i | −0.422177 | + | 0.487218i | ||||
\(196\) | 15.8450 | + | 7.75595i | 1.13179 | + | 0.553997i | ||||
\(197\) | 10.9413 | − | 3.21266i | 0.779536 | − | 0.228892i | 0.132328 | − | 0.991206i | \(-0.457755\pi\) |
0.647208 | + | 0.762314i | \(0.275937\pi\) | |||||||
\(198\) | −6.21787 | + | 8.73177i | −0.441884 | + | 0.620540i | ||||
\(199\) | 0.392253 | + | 8.23440i | 0.0278061 | + | 0.583721i | 0.969180 | + | 0.246355i | \(0.0792330\pi\) |
−0.941374 | + | 0.337366i | \(0.890464\pi\) | |||||||
\(200\) | −2.09455 | + | 1.99715i | −0.148107 | + | 0.141220i | ||||
\(201\) | 2.64355 | − | 2.07891i | 0.186461 | − | 0.146635i | ||||
\(202\) | −8.82081 | + | 19.3149i | −0.620630 | + | 1.35899i | ||||
\(203\) | −5.56857 | + | 1.41239i | −0.390837 | + | 0.0991303i | ||||
\(204\) | 3.91964 | + | 2.51900i | 0.274430 | + | 0.176365i | ||||
\(205\) | −0.625137 | + | 1.80621i | −0.0436615 | + | 0.126152i | ||||
\(206\) | −19.2280 | + | 33.3039i | −1.33968 | + | 2.32039i | ||||
\(207\) | −0.325885 | + | 4.78475i | −0.0226506 | + | 0.332563i | ||||
\(208\) | −7.84030 | − | 13.5798i | −0.543627 | − | 0.941590i | ||||
\(209\) | −21.2528 | − | 24.5271i | −1.47009 | − | 1.69657i | ||||
\(210\) | 8.17633 | − | 2.92541i | 0.564220 | − | 0.201872i | ||||
\(211\) | −1.19727 | + | 8.32716i | −0.0824231 | + | 0.573266i | 0.906200 | + | 0.422850i | \(0.138970\pi\) |
−0.988623 | + | 0.150416i | \(0.951939\pi\) | |||||||
\(212\) | −16.5085 | + | 1.57637i | −1.13381 | + | 0.108265i | ||||
\(213\) | −14.1120 | − | 5.64960i | −0.966940 | − | 0.387104i | ||||
\(214\) | 11.7584 | − | 11.2116i | 0.803790 | − | 0.766412i | ||||
\(215\) | −7.53046 | − | 3.88222i | −0.513573 | − | 0.264765i | ||||
\(216\) | 0.459447 | + | 1.00605i | 0.0312614 | + | 0.0684530i | ||||
\(217\) | 13.9261 | − | 2.15030i | 0.945365 | − | 0.145972i | ||||
\(218\) | −16.3198 | + | 18.8341i | −1.10532 | + | 1.27560i | ||||
\(219\) | −12.0087 | − | 2.31449i | −0.811473 | − | 0.156399i | ||||
\(220\) | 4.62469 | − | 19.0632i | 0.311797 | − | 1.28524i | ||||
\(221\) | 10.7322 | + | 1.02480i | 0.721924 | + | 0.0689354i | ||||
\(222\) | −8.12521 | − | 4.18883i | −0.545328 | − | 0.281136i | ||||
\(223\) | 27.1872 | + | 7.98289i | 1.82059 | + | 0.534574i | 0.999351 | − | 0.0360095i | \(-0.0114647\pi\) |
0.821240 | + | 0.570583i | \(0.193283\pi\) | |||||||
\(224\) | 0.218131 | + | 20.9769i | 0.0145745 | + | 1.40158i | ||||
\(225\) | −1.08703 | + | 2.38025i | −0.0724684 | + | 0.158684i | ||||
\(226\) | 41.2765 | − | 16.5246i | 2.74567 | − | 1.09920i | ||||
\(227\) | 6.40170 | − | 3.30030i | 0.424895 | − | 0.219049i | −0.232497 | − | 0.972597i | \(-0.574690\pi\) |
0.657393 | + | 0.753548i | \(0.271659\pi\) | |||||||
\(228\) | −15.9291 | + | 3.07009i | −1.05493 | + | 0.203322i | ||||
\(229\) | −4.80489 | − | 8.32232i | −0.317516 | − | 0.549954i | 0.662453 | − | 0.749103i | \(-0.269515\pi\) |
−0.979969 | + | 0.199149i | \(0.936182\pi\) | |||||||
\(230\) | −4.84378 | − | 14.9771i | −0.319390 | − | 0.987563i | ||||
\(231\) | 8.13648 | − | 10.5708i | 0.535341 | − | 0.695505i | ||||
\(232\) | 1.57266 | + | 1.81495i | 0.103250 | + | 0.119157i | ||||
\(233\) | 0.977456 | − | 20.5193i | 0.0640353 | − | 1.34427i | −0.706882 | − | 0.707331i | \(-0.749899\pi\) |
0.770917 | − | 0.636935i | \(-0.219798\pi\) | |||||||
\(234\) | 9.74555 | + | 7.66399i | 0.637087 | + | 0.501011i | ||||
\(235\) | 2.10886 | + | 2.96149i | 0.137567 | + | 0.193186i | ||||
\(236\) | −0.610649 | + | 0.480220i | −0.0397499 | + | 0.0312596i | ||||
\(237\) | 12.5665 | + | 3.68985i | 0.816280 | + | 0.239681i | ||||
\(238\) | −8.53343 | − | 5.94388i | −0.553140 | − | 0.385284i | ||||
\(239\) | −3.19680 | − | 7.00001i | −0.206784 | − | 0.452793i | 0.777616 | − | 0.628739i | \(-0.216429\pi\) |
−0.984400 | + | 0.175946i | \(0.943701\pi\) | |||||||
\(240\) | 3.00437 | + | 2.86466i | 0.193931 | + | 0.184913i | ||||
\(241\) | 1.08577 | + | 3.13713i | 0.0699407 | + | 0.202080i | 0.974554 | − | 0.224153i | \(-0.0719615\pi\) |
−0.904613 | + | 0.426233i | \(0.859840\pi\) | |||||||
\(242\) | −10.0276 | − | 28.9728i | −0.644597 | − | 1.86244i | ||||
\(243\) | 0.723734 | + | 0.690079i | 0.0464276 | + | 0.0442686i | ||||
\(244\) | 1.18135 | + | 2.58679i | 0.0756280 | + | 0.165602i | ||||
\(245\) | −10.3032 | + | 3.25950i | −0.658248 | + | 0.208242i | ||||
\(246\) | 2.52564 | + | 0.741594i | 0.161029 | + | 0.0472823i | ||||
\(247\) | −29.5056 | + | 23.2034i | −1.87739 | + | 1.47640i | ||||
\(248\) | −3.41681 | − | 4.79824i | −0.216968 | − | 0.304688i | ||||
\(249\) | 4.59659 | + | 3.61480i | 0.291297 | + | 0.229079i | ||||
\(250\) | 1.18953 | − | 24.9714i | 0.0752327 | − | 1.57933i | ||||
\(251\) | 18.4164 | + | 21.2536i | 1.16243 | + | 1.34152i | 0.929412 | + | 0.369044i | \(0.120315\pi\) |
0.233019 | + | 0.972472i | \(0.425140\pi\) | |||||||
\(252\) | −2.54242 | − | 6.16410i | −0.160157 | − | 0.388302i | ||||
\(253\) | −18.6978 | − | 15.3317i | −1.17552 | − | 0.963898i | ||||
\(254\) | 15.7563 | + | 27.2907i | 0.988639 | + | 1.71237i | ||||
\(255\) | −2.80253 | + | 0.540144i | −0.175501 | + | 0.0338251i | ||||
\(256\) | −4.25232 | + | 2.19222i | −0.265770 | + | 0.137014i | ||||
\(257\) | −5.27430 | + | 2.11151i | −0.329002 | + | 0.131713i | −0.530282 | − | 0.847821i | \(-0.677914\pi\) |
0.201280 | + | 0.979534i | \(0.435490\pi\) | |||||||
\(258\) | −4.84701 | + | 10.6135i | −0.301762 | + | 0.660766i | ||||
\(259\) | 9.91036 | + | 5.58517i | 0.615800 | + | 0.347045i | ||||
\(260\) | −21.7691 | − | 6.39199i | −1.35006 | − | 0.396414i | ||||
\(261\) | 1.92999 | + | 0.994978i | 0.119463 | + | 0.0615876i | ||||
\(262\) | −13.3078 | − | 1.27074i | −0.822157 | − | 0.0785065i | ||||
\(263\) | 2.19860 | − | 9.06277i | 0.135572 | − | 0.558834i | −0.862990 | − | 0.505221i | \(-0.831411\pi\) |
0.998562 | − | 0.0536133i | \(-0.0170738\pi\) | |||||||
\(264\) | −5.47551 | − | 1.05532i | −0.336995 | − | 0.0649504i | ||||
\(265\) | 6.65240 | − | 7.67728i | 0.408654 | − | 0.471612i | ||||
\(266\) | 35.7839 | − | 5.52532i | 2.19405 | − | 0.338779i | ||||
\(267\) | −6.03918 | − | 13.2240i | −0.369592 | − | 0.809294i | ||||
\(268\) | 7.53342 | + | 3.88375i | 0.460177 | + | 0.237238i | ||||
\(269\) | −15.2866 | + | 14.5757i | −0.932040 | + | 0.888698i | −0.994000 | − | 0.109381i | \(-0.965113\pi\) |
0.0619603 | + | 0.998079i | \(0.480265\pi\) | |||||||
\(270\) | −3.04710 | − | 1.21987i | −0.185441 | − | 0.0742392i | ||||
\(271\) | 11.3707 | − | 1.08577i | 0.690719 | − | 0.0659557i | 0.256208 | − | 0.966622i | \(-0.417527\pi\) |
0.434512 | + | 0.900666i | \(0.356921\pi\) | |||||||
\(272\) | 0.707491 | − | 4.92071i | 0.0428979 | − | 0.298362i | ||||
\(273\) | −11.7645 | − | 9.98175i | −0.712022 | − | 0.604123i | ||||
\(274\) | −12.0294 | − | 13.8827i | −0.726722 | − | 0.838682i | ||||
\(275\) | −6.59659 | − | 11.4256i | −0.397789 | − | 0.688991i | ||||
\(276\) | −11.3100 | + | 4.26222i | −0.680783 | + | 0.256556i | ||||
\(277\) | −7.71358 | + | 13.3603i | −0.463464 | + | 0.802744i | −0.999131 | − | 0.0416860i | \(-0.986727\pi\) |
0.535666 | + | 0.844430i | \(0.320060\pi\) | |||||||
\(278\) | −9.33617 | + | 26.9751i | −0.559946 | + | 1.61786i | ||||
\(279\) | −4.48047 | − | 2.87942i | −0.268239 | − | 0.172387i | ||||
\(280\) | 3.15120 | + | 3.23681i | 0.188320 | + | 0.193437i | ||||
\(281\) | 7.58625 | − | 16.6116i | 0.452558 | − | 0.990963i | −0.536564 | − | 0.843860i | \(-0.680278\pi\) |
0.989121 | − | 0.147103i | \(-0.0469949\pi\) | |||||||
\(282\) | 3.93570 | − | 3.09507i | 0.234367 | − | 0.184309i | ||||
\(283\) | −4.89509 | + | 4.66746i | −0.290983 | + | 0.277452i | −0.821483 | − | 0.570233i | \(-0.806853\pi\) |
0.530500 | + | 0.847685i | \(0.322004\pi\) | |||||||
\(284\) | −1.82283 | − | 38.2660i | −0.108165 | − | 2.27067i | ||||
\(285\) | 5.76414 | − | 8.09460i | 0.341438 | − | 0.479483i | ||||
\(286\) | −59.9775 | + | 17.6110i | −3.54654 | + | 1.04136i | ||||
\(287\) | −3.10647 | − | 1.03912i | −0.183369 | − | 0.0613372i | ||||
\(288\) | 5.19237 | − | 5.99231i | 0.305963 | − | 0.353100i | ||||
\(289\) | −9.82979 | − | 9.37268i | −0.578223 | − | 0.551334i | ||||
\(290\) | −7.09461 | − | 0.677453i | −0.416610 | − | 0.0397814i | ||||
\(291\) | −0.281652 | − | 5.91261i | −0.0165108 | − | 0.346603i | ||||
\(292\) | −7.26642 | − | 29.9526i | −0.425235 | − | 1.75284i | ||||
\(293\) | −1.00809 | − | 7.01141i | −0.0588931 | − | 0.409611i | −0.997848 | − | 0.0655703i | \(-0.979113\pi\) |
0.938955 | − | 0.344041i | \(-0.111796\pi\) | |||||||
\(294\) | 5.15901 | + | 13.9598i | 0.300880 | + | 0.814149i | ||||
\(295\) | 0.0677238 | − | 0.471029i | 0.00394303 | − | 0.0274244i | ||||
\(296\) | 0.226271 | − | 4.75002i | 0.0131517 | − | 0.276089i | ||||
\(297\) | −4.95076 | + | 0.954180i | −0.287272 | + | 0.0553672i | ||||
\(298\) | −8.10404 | + | 14.0366i | −0.469455 | + | 0.813119i | ||||
\(299\) | −18.7416 | + | 20.7577i | −1.08386 | + | 1.20045i | ||||
\(300\) | −6.59468 | −0.380744 | ||||||||
\(301\) | 6.51882 | − | 12.9742i | 0.375739 | − | 0.747822i | ||||
\(302\) | 14.3907 | + | 9.24836i | 0.828094 | + | 0.532184i | ||||
\(303\) | −9.27187 | + | 3.71190i | −0.532655 | + | 0.213243i | ||||
\(304\) | 10.0400 | + | 14.0992i | 0.575834 | + | 0.808646i | ||||
\(305\) | −1.61721 | − | 0.647434i | −0.0926013 | − | 0.0370720i | ||||
\(306\) | 0.926682 | + | 3.81983i | 0.0529749 | + | 0.218365i | ||||
\(307\) | 6.98716 | − | 4.49037i | 0.398778 | − | 0.256279i | −0.325847 | − | 0.945423i | \(-0.605649\pi\) |
0.724625 | + | 0.689143i | \(0.242013\pi\) | |||||||
\(308\) | 32.7514 | + | 7.58569i | 1.86618 | + | 0.432235i | ||||
\(309\) | −17.3551 | + | 5.09592i | −0.987298 | + | 0.289897i | ||||
\(310\) | 17.1650 | + | 3.30828i | 0.974905 | + | 0.187897i | ||||
\(311\) | −8.91929 | − | 25.7706i | −0.505766 | − | 1.46132i | −0.852187 | − | 0.523237i | \(-0.824724\pi\) |
0.346421 | − | 0.938079i | \(-0.387397\pi\) | |||||||
\(312\) | −1.52054 | + | 6.26774i | −0.0860835 | + | 0.354841i | ||||
\(313\) | −4.76663 | + | 6.69379i | −0.269426 | + | 0.378356i | −0.927017 | − | 0.375019i | \(-0.877636\pi\) |
0.657591 | + | 0.753375i | \(0.271575\pi\) | |||||||
\(314\) | 1.42994 | − | 0.918969i | 0.0806964 | − | 0.0518604i | ||||
\(315\) | 3.73281 | + | 1.65803i | 0.210320 | + | 0.0934193i | ||||
\(316\) | 4.69740 | + | 32.6711i | 0.264249 | + | 1.83789i | ||||
\(317\) | −8.71170 | + | 0.831867i | −0.489298 | + | 0.0467223i | −0.336790 | − | 0.941580i | \(-0.609341\pi\) |
−0.152508 | + | 0.988302i | \(0.548735\pi\) | |||||||
\(318\) | −10.9970 | − | 8.64812i | −0.616680 | − | 0.484962i | ||||
\(319\) | −9.73075 | + | 5.01655i | −0.544817 | + | 0.280873i | ||||
\(320\) | −5.79634 | + | 16.7474i | −0.324025 | + | 0.936209i | ||||
\(321\) | 7.64172 | 0.426519 | ||||||||
\(322\) | 25.5802 | − | 8.56776i | 1.42553 | − | 0.477462i | ||||
\(323\) | −11.9003 | −0.662153 | ||||||||
\(324\) | −0.824278 | + | 2.38160i | −0.0457932 | + | 0.132311i | ||||
\(325\) | −13.5630 | + | 6.99219i | −0.752338 | + | 0.387857i | ||||
\(326\) | 35.1828 | + | 27.6681i | 1.94860 | + | 1.53239i | ||||
\(327\) | −11.6685 | + | 1.11421i | −0.645271 | + | 0.0616160i | ||||
\(328\) | 0.194874 | + | 1.35538i | 0.0107601 | + | 0.0748382i | ||||
\(329\) | −5.03756 | + | 3.66676i | −0.277730 | + | 0.202155i | ||||
\(330\) | 13.9215 | − | 8.94678i | 0.766351 | − | 0.492504i | ||||
\(331\) | −10.8687 | + | 15.2629i | −0.597396 | + | 0.838926i | −0.996971 | − | 0.0777748i | \(-0.975218\pi\) |
0.399574 | + | 0.916701i | \(0.369158\pi\) | |||||||
\(332\) | −3.47447 | + | 14.3219i | −0.190686 | + | 0.786019i | ||||
\(333\) | −1.40628 | − | 4.06318i | −0.0770637 | − | 0.222661i | ||||
\(334\) | 30.7001 | + | 5.91696i | 1.67984 | + | 0.323762i | ||||
\(335\) | −4.98155 | + | 1.46271i | −0.272171 | + | 0.0799166i | ||||
\(336\) | −4.85567 | + | 5.19968i | −0.264899 | + | 0.283666i | ||||
\(337\) | −5.29331 | + | 3.40180i | −0.288345 | + | 0.185308i | −0.676815 | − | 0.736153i | \(-0.736640\pi\) |
0.388470 | + | 0.921461i | \(0.373004\pi\) | |||||||
\(338\) | 10.5289 | + | 43.4008i | 0.572697 | + | 2.36069i | ||||
\(339\) | 19.4144 | + | 7.77235i | 1.05445 | + | 0.422136i | ||||
\(340\) | −4.17231 | − | 5.85920i | −0.226276 | − | 0.317759i | ||||
\(341\) | 24.9292 | − | 9.98015i | 1.34999 | − | 0.540455i | ||||
\(342\) | −11.5128 | − | 7.39885i | −0.622543 | − | 0.400084i | ||||
\(343\) | −5.76946 | − | 17.5987i | −0.311522 | − | 0.950239i | ||||
\(344\) | −6.06968 | −0.327255 | ||||||||
\(345\) | 3.21239 | − | 6.67053i | 0.172949 | − | 0.359129i | ||||
\(346\) | −8.14179 | + | 14.1020i | −0.437705 | + | 0.758128i | ||||
\(347\) | 1.04599 | − | 0.201598i | 0.0561518 | − | 0.0108224i | −0.161098 | − | 0.986938i | \(-0.551504\pi\) |
0.217250 | + | 0.976116i | \(0.430291\pi\) | |||||||
\(348\) | −0.260382 | + | 5.46609i | −0.0139579 | + | 0.293013i | ||||
\(349\) | 0.525382 | − | 3.65411i | 0.0281230 | − | 0.195600i | −0.970916 | − | 0.239418i | \(-0.923043\pi\) |
0.999040 | + | 0.0438184i | \(0.0139523\pi\) | |||||||
\(350\) | 14.7091 | + | 0.547454i | 0.786233 | + | 0.0292627i | ||||
\(351\) | 0.829900 | + | 5.77208i | 0.0442968 | + | 0.308091i | ||||
\(352\) | 9.42489 | + | 38.8499i | 0.502348 | + | 2.07071i | ||||
\(353\) | 0.358290 | + | 7.52143i | 0.0190698 | + | 0.400325i | 0.988142 | + | 0.153546i | \(0.0490693\pi\) |
−0.969072 | + | 0.246779i | \(0.920628\pi\) | |||||||
\(354\) | −0.652397 | − | 0.0622964i | −0.0346745 | − | 0.00331101i | ||||
\(355\) | 16.9838 | + | 16.1940i | 0.901408 | + | 0.859491i | ||||
\(356\) | 23.9928 | − | 27.6892i | 1.27162 | − | 1.46752i | ||||
\(357\) | −0.975593 | − | 4.79311i | −0.0516339 | − | 0.253678i | ||||
\(358\) | −33.7902 | + | 9.92168i | −1.78587 | + | 0.524377i | ||||
\(359\) | −9.85407 | + | 13.8381i | −0.520078 | + | 0.730347i | −0.988175 | − | 0.153330i | \(-0.951000\pi\) |
0.468097 | + | 0.883677i | \(0.344940\pi\) | |||||||
\(360\) | −0.0812424 | − | 1.70549i | −0.00428185 | − | 0.0898871i | ||||
\(361\) | 16.2360 | − | 15.4810i | 0.854525 | − | 0.814787i | ||||
\(362\) | 12.3047 | − | 9.67653i | 0.646721 | − | 0.508587i | ||||
\(363\) | 5.99047 | − | 13.1173i | 0.314418 | − | 0.688480i | ||||
\(364\) | 10.5661 | − | 37.4199i | 0.553814 | − | 1.96134i | ||||
\(365\) | 15.8829 | + | 10.2073i | 0.831350 | + | 0.534276i | ||||
\(366\) | −0.784651 | + | 2.26710i | −0.0410144 | + | 0.118503i | ||||
\(367\) | 16.2620 | − | 28.1666i | 0.848869 | − | 1.47028i | −0.0333496 | − | 0.999444i | \(-0.510617\pi\) |
0.882218 | − | 0.470840i | \(-0.156049\pi\) | |||||||
\(368\) | 9.14968 | + | 9.08775i | 0.476960 | + | 0.473732i | ||||
\(369\) | 0.619042 | + | 1.07221i | 0.0322260 | + | 0.0558171i | ||||
\(370\) | 9.24164 | + | 10.6654i | 0.480450 | + | 0.554469i | ||||
\(371\) | 13.2752 | + | 11.2635i | 0.689215 | + | 0.584772i | ||||
\(372\) | 1.91022 | − | 13.2859i | 0.0990401 | − | 0.688839i | ||||
\(373\) | 25.5421 | − | 2.43898i | 1.32252 | − | 0.126286i | 0.590207 | − | 0.807252i | \(-0.299046\pi\) |
0.732315 | + | 0.680966i | \(0.238440\pi\) | |||||||
\(374\) | −18.3981 | − | 7.36551i | −0.951346 | − | 0.380861i | ||||
\(375\) | 8.51010 | − | 8.11436i | 0.439459 | − | 0.419024i | ||||
\(376\) | 2.31508 | + | 1.19350i | 0.119391 | + | 0.0615503i | ||||
\(377\) | 5.26006 | + | 11.5179i | 0.270907 | + | 0.593204i | ||||
\(378\) | 2.03621 | − | 5.24359i | 0.104732 | − | 0.269701i | ||||
\(379\) | −19.0598 | + | 21.9962i | −0.979035 | + | 1.12987i | 0.0124863 | + | 0.999922i | \(0.496025\pi\) |
−0.991521 | + | 0.129944i | \(0.958520\pi\) | |||||||
\(380\) | 24.5912 | + | 4.73956i | 1.26150 | + | 0.243134i | ||||
\(381\) | −3.49441 | + | 14.4041i | −0.179024 | + | 0.737947i | ||||
\(382\) | 14.1240 | + | 1.34868i | 0.722647 | + | 0.0690045i | ||||
\(383\) | −15.4267 | − | 7.95299i | −0.788265 | − | 0.406379i | 0.0165810 | − | 0.999863i | \(-0.494722\pi\) |
−0.804846 | + | 0.593484i | \(0.797752\pi\) | |||||||
\(384\) | 8.20239 | + | 2.40844i | 0.418576 | + | 0.122905i | ||||
\(385\) | −17.7264 | + | 10.4816i | −0.903420 | + | 0.534191i | ||||
\(386\) | −12.7257 | + | 27.8653i | −0.647719 | + | 1.41831i | ||||
\(387\) | −5.09487 | + | 2.03968i | −0.258987 | + | 0.103683i | ||||
\(388\) | 13.2595 | − | 6.83577i | 0.673152 | − | 0.347034i | ||||
\(389\) | −17.2223 | + | 3.31933i | −0.873207 | + | 0.168297i | −0.606118 | − | 0.795375i | \(-0.707274\pi\) |
−0.267089 | + | 0.963672i | \(0.586062\pi\) | |||||||
\(390\) | −9.57000 | − | 16.5757i | −0.484596 | − | 0.839345i | ||||
\(391\) | −8.73859 | + | 1.50000i | −0.441930 | + | 0.0758581i | ||||
\(392\) | −5.49082 | + | 5.45793i | −0.277328 | + | 0.275667i | ||||
\(393\) | −4.11762 | − | 4.75199i | −0.207706 | − | 0.239706i | ||||
\(394\) | −1.15358 | + | 24.2167i | −0.0581166 | + | 1.22002i | ||||
\(395\) | −15.8932 | − | 12.4985i | −0.799673 | − | 0.628869i | ||||
\(396\) | −7.37052 | − | 10.3504i | −0.370383 | − | 0.520129i | ||||
\(397\) | 25.1079 | − | 19.7451i | 1.26013 | − | 0.990979i | 0.260457 | − | 0.965486i | \(-0.416127\pi\) |
0.999675 | − | 0.0254931i | \(-0.00811559\pi\) | |||||||
\(398\) | −16.8169 | − | 4.93788i | −0.842953 | − | 0.247513i | ||||
\(399\) | 13.9745 | + | 9.73383i | 0.699602 | + | 0.487301i | ||||
\(400\) | 2.92299 | + | 6.40045i | 0.146149 | + | 0.320023i | ||||
\(401\) | 16.1909 | + | 15.4380i | 0.808536 | + | 0.770937i | 0.976651 | − | 0.214830i | \(-0.0689198\pi\) |
−0.168116 | + | 0.985767i | \(0.553768\pi\) | |||||||
\(402\) | 2.33858 | + | 6.75688i | 0.116638 | + | 0.337003i | ||||
\(403\) | −10.1580 | − | 29.3498i | −0.506008 | − | 1.46202i | ||||
\(404\) | −18.2164 | − | 17.3693i | −0.906298 | − | 0.864154i | ||||
\(405\) | −0.641312 | − | 1.40428i | −0.0318671 | − | 0.0697791i | ||||
\(406\) | 1.03453 | − | 12.1702i | 0.0513430 | − | 0.603997i | ||||
\(407\) | 20.8002 | + | 6.10749i | 1.03103 | + | 0.302737i | ||||
\(408\) | −1.60727 | + | 1.26397i | −0.0795717 | + | 0.0625758i | ||||
\(409\) | 4.91389 | + | 6.90059i | 0.242976 | + | 0.341212i | 0.917998 | − | 0.396586i | \(-0.129805\pi\) |
−0.675021 | + | 0.737798i | \(0.735866\pi\) | |||||||
\(410\) | −3.19424 | − | 2.51198i | −0.157752 | − | 0.124058i | ||||
\(411\) | 0.411110 | − | 8.63026i | 0.0202785 | − | 0.425699i | ||||
\(412\) | −29.8518 | − | 34.4508i | −1.47069 | − | 1.69727i | ||||
\(413\) | 0.808416 | + | 0.107665i | 0.0397796 | + | 0.00529787i | ||||
\(414\) | −9.38664 | − | 3.98193i | −0.461328 | − | 0.195701i | ||||
\(415\) | −4.51379 | − | 7.81811i | −0.221573 | − | 0.383776i | ||||
\(416\) | 45.4017 | − | 8.75046i | 2.22600 | − | 0.429027i | ||||
\(417\) | −11.9336 | + | 6.15222i | −0.584393 | + | 0.301276i | ||||
\(418\) | 64.0571 | − | 25.6446i | 3.13313 | − | 1.25432i | ||||
\(419\) | −3.35577 | + | 7.34812i | −0.163940 | + | 0.358979i | −0.973718 | − | 0.227758i | \(-0.926860\pi\) |
0.809778 | + | 0.586737i | \(0.199588\pi\) | |||||||
\(420\) | 0.107034 | + | 10.2932i | 0.00522275 | + | 0.502255i | ||||
\(421\) | −0.0805178 | − | 0.0236422i | −0.00392420 | − | 0.00115225i | 0.279770 | − | 0.960067i | \(-0.409742\pi\) |
−0.283694 | + | 0.958915i | \(0.591560\pi\) | |||||||
\(422\) | −15.8979 | − | 8.19595i | −0.773899 | − | 0.398973i | ||||
\(423\) | 2.34434 | + | 0.223857i | 0.113985 | + | 0.0108843i | ||||
\(424\) | 1.71579 | − | 7.07258i | 0.0833261 | − | 0.343475i | ||||
\(425\) | −4.75030 | − | 0.915545i | −0.230423 | − | 0.0444105i | ||||
\(426\) | 21.1640 | − | 24.4245i | 1.02540 | − | 1.18337i | ||||
\(427\) | 1.08070 | − | 2.78298i | 0.0522986 | − | 0.134678i | ||||
\(428\) | 8.00036 | + | 17.5183i | 0.386712 | + | 0.846781i | ||||
\(429\) | −26.1330 | − | 13.4725i | −1.26171 | − | 0.650457i | ||||
\(430\) | 13.0364 | − | 12.4302i | 0.628672 | − | 0.599437i | ||||
\(431\) | −1.64489 | − | 0.658515i | −0.0792317 | − | 0.0317196i | 0.331708 | − | 0.943382i | \(-0.392375\pi\) |
−0.410940 | + | 0.911663i | \(0.634799\pi\) | |||||||
\(432\) | 2.67680 | − | 0.255604i | 0.128788 | − | 0.0122977i | ||||
\(433\) | −3.04839 | + | 21.2020i | −0.146496 | + | 1.01890i | 0.775401 | + | 0.631469i | \(0.217548\pi\) |
−0.921897 | + | 0.387435i | \(0.873361\pi\) | |||||||
\(434\) | −5.36355 | + | 29.4748i | −0.257459 | + | 1.41484i | ||||
\(435\) | −2.19518 | − | 2.53337i | −0.105251 | − | 0.121466i | ||||
\(436\) | −14.7704 | − | 25.5831i | −0.707375 | − | 1.22521i | ||||
\(437\) | 18.4158 | − | 24.7756i | 0.880949 | − | 1.18518i | ||||
\(438\) | 13.0007 | − | 22.5178i | 0.621196 | − | 1.07594i | ||||
\(439\) | 5.07650 | − | 14.6676i | 0.242288 | − | 0.700046i | −0.756643 | − | 0.653828i | \(-0.773162\pi\) |
0.998931 | − | 0.0462177i | \(-0.0147168\pi\) | |||||||
\(440\) | 7.24201 | + | 4.65416i | 0.345249 | + | 0.221878i | ||||
\(441\) | −2.77487 | + | 6.42652i | −0.132136 | + | 0.306025i | ||||
\(442\) | −9.52182 | + | 20.8499i | −0.452907 | + | 0.991728i | ||||
\(443\) | −4.00499 | + | 3.14956i | −0.190283 | + | 0.149640i | −0.708756 | − | 0.705454i | \(-0.750743\pi\) |
0.518473 | + | 0.855094i | \(0.326501\pi\) | |||||||
\(444\) | 7.84240 | − | 7.47771i | 0.372184 | − | 0.354876i | ||||
\(445\) | 1.06789 | + | 22.4177i | 0.0506227 | + | 1.06270i | ||||
\(446\) | −34.9440 | + | 49.0720i | −1.65465 | + | 2.32363i | ||||
\(447\) | −7.31467 | + | 2.14778i | −0.345972 | + | 0.101586i | ||||
\(448\) | −28.8036 | − | 9.63482i | −1.36084 | − | 0.455202i | ||||
\(449\) | 2.69434 | − | 3.10943i | 0.127154 | − | 0.146743i | −0.688603 | − | 0.725139i | \(-0.741776\pi\) |
0.815756 | + | 0.578396i | \(0.196321\pi\) | |||||||
\(450\) | −4.02639 | − | 3.83915i | −0.189806 | − | 0.180979i | ||||
\(451\) | −6.21399 | − | 0.593364i | −0.292605 | − | 0.0279404i | ||||
\(452\) | 2.50774 | + | 52.6438i | 0.117954 | + | 2.47616i | ||||
\(453\) | 1.89690 | + | 7.81914i | 0.0891243 | + | 0.367375i | ||||
\(454\) | 2.17923 | + | 15.1569i | 0.102276 | + | 0.711347i | ||||
\(455\) | 11.1337 | + | 21.0560i | 0.521958 | + | 0.987119i | ||||
\(456\) | 1.01316 | − | 7.04671i | 0.0474458 | − | 0.329993i | ||||
\(457\) | −1.10954 | + | 23.2921i | −0.0519021 | + | 1.08956i | 0.811277 | + | 0.584662i | \(0.198773\pi\) |
−0.863179 | + | 0.504897i | \(0.831530\pi\) | |||||||
\(458\) | 20.0619 | − | 3.86662i | 0.937432 | − | 0.180675i | ||||
\(459\) | −0.924386 | + | 1.60108i | −0.0431466 | + | 0.0747322i | ||||
\(460\) | 18.6551 | + | 0.380696i | 0.869797 | + | 0.0177500i | ||||
\(461\) | −33.2558 | −1.54888 | −0.774438 | − | 0.632650i | \(-0.781967\pi\) | ||||
−0.774438 | + | 0.632650i | \(0.781967\pi\) | |||||||
\(462\) | 15.5803 | + | 23.6980i | 0.724861 | + | 1.10253i | ||||
\(463\) | 16.6978 | + | 10.7310i | 0.776013 | + | 0.498713i | 0.867708 | − | 0.497074i | \(-0.165592\pi\) |
−0.0916955 | + | 0.995787i | \(0.529229\pi\) | |||||||
\(464\) | 5.42051 | − | 2.17005i | 0.251641 | − | 0.100742i | ||||
\(465\) | 4.76930 | + | 6.69754i | 0.221171 | + | 0.310591i | ||||
\(466\) | 40.5466 | + | 16.2324i | 1.87829 | + | 0.751952i | ||||
\(467\) | −6.26858 | − | 25.8394i | −0.290075 | − | 1.19571i | −0.911190 | − | 0.411987i | \(-0.864835\pi\) |
0.621115 | − | 0.783720i | \(-0.286680\pi\) | |||||||
\(468\) | −12.3634 | + | 7.94548i | −0.571499 | + | 0.367280i | ||||
\(469\) | −2.59544 | − | 8.51088i | −0.119847 | − | 0.392996i | ||||
\(470\) | −7.41650 | + | 2.17768i | −0.342098 | + | 0.100449i | ||||
\(471\) | 0.785042 | + | 0.151304i | 0.0361728 | + | 0.00697174i | ||||
\(472\) | −0.111505 | − | 0.322173i | −0.00513244 | − | 0.0148292i | ||||
\(473\) | 6.52338 | − | 26.8897i | 0.299945 | − | 1.23639i | ||||
\(474\) | −16.1518 | + | 22.6820i | −0.741877 | + | 1.04182i | ||||
\(475\) | 14.1697 | − | 9.10632i | 0.650151 | − | 0.417827i | ||||
\(476\) | 9.96663 | − | 7.25456i | 0.456820 | − | 0.332512i | ||||
\(477\) | −0.936467 | − | 6.51327i | −0.0428779 | − | 0.298222i | ||||
\(478\) | 16.2870 | − | 1.55522i | 0.744950 | − | 0.0711341i | ||||
\(479\) | −5.10361 | − | 4.01353i | −0.233190 | − | 0.183383i | 0.494726 | − | 0.869049i | \(-0.335268\pi\) |
−0.727916 | + | 0.685666i | \(0.759511\pi\) | |||||||
\(480\) | −10.8799 | + | 5.60898i | −0.496598 | + | 0.256014i | ||||
\(481\) | 8.20064 | − | 23.6942i | 0.373917 | − | 1.08036i | ||||
\(482\) | −7.05797 | −0.321482 | ||||||||
\(483\) | 11.4886 | + | 5.38625i | 0.522750 | + | 0.245083i | ||||
\(484\) | 36.3425 | 1.65193 | ||||||||
\(485\) | −2.98880 | + | 8.63557i | −0.135714 | + | 0.392121i | ||||
\(486\) | −1.88973 | + | 0.974225i | −0.0857200 | + | 0.0441917i | ||||
\(487\) | −1.43454 | − | 1.12813i | −0.0650052 | − | 0.0511207i | 0.585128 | − | 0.810941i | \(-0.301044\pi\) |
−0.650133 | + | 0.759820i | \(0.725287\pi\) | |||||||
\(488\) | −1.24234 | + | 0.118629i | −0.0562383 | + | 0.00537010i | ||||
\(489\) | 2.99606 | + | 20.8380i | 0.135486 | + | 0.942329i | ||||
\(490\) | 0.615748 | − | 22.9672i | 0.0278166 | − | 1.03755i | ||||
\(491\) | −11.2996 | + | 7.26180i | −0.509943 | + | 0.327720i | −0.770182 | − | 0.637824i | \(-0.779835\pi\) |
0.260240 | + | 0.965544i | \(0.416198\pi\) | |||||||
\(492\) | −1.80991 | + | 2.54166i | −0.0815969 | + | 0.114587i | ||||
\(493\) | −0.946421 | + | 3.90120i | −0.0426247 | + | 0.175701i | ||||
\(494\) | −26.1017 | − | 75.4159i | −1.17437 | − | 3.39312i | ||||
\(495\) | 7.64291 | + | 1.47305i | 0.343523 | + | 0.0662087i | ||||
\(496\) | −13.7412 | + | 4.03479i | −0.617000 | + | 0.181167i | ||||
\(497\) | −27.4493 | + | 29.3940i | −1.23127 | + | 1.31850i | ||||
\(498\) | −10.4590 | + | 6.72159i | −0.468679 | + | 0.301202i | ||||
\(499\) | −7.34472 | − | 30.2754i | −0.328795 | − | 1.35531i | −0.860961 | − | 0.508671i | \(-0.830137\pi\) |
0.532166 | − | 0.846640i | \(-0.321378\pi\) | |||||||
\(500\) | 27.5113 | + | 11.0139i | 1.23034 | + | 0.492555i | ||||
\(501\) | 8.53005 | + | 11.9788i | 0.381095 | + | 0.535173i | ||||
\(502\) | −55.5078 | + | 22.2220i | −2.47744 | + | 0.991815i | ||||
\(503\) | 10.4991 | + | 6.74736i | 0.468131 | + | 0.300850i | 0.753358 | − | 0.657610i | \(-0.228433\pi\) |
−0.285227 | + | 0.958460i | \(0.592069\pi\) | |||||||
\(504\) | 2.92127 | − | 0.169618i | 0.130124 | − | 0.00755540i | ||||
\(505\) | 15.4182 | 0.686102 | ||||||||
\(506\) | 43.8056 | − | 26.9054i | 1.94740 | − | 1.19609i | ||||
\(507\) | −10.5028 | + | 18.1914i | −0.466447 | + | 0.807910i | ||||
\(508\) | −36.6793 | + | 7.06936i | −1.62738 | + | 0.313652i | ||||
\(509\) | 0.0152231 | − | 0.319572i | 0.000674752 | − | 0.0141648i | −0.998505 | − | 0.0546631i | \(-0.982592\pi\) |
0.999180 | + | 0.0404983i | \(0.0128945\pi\) | |||||||
\(510\) | 0.863575 | − | 6.00629i | 0.0382397 | − | 0.265963i | ||||
\(511\) | −17.2094 | + | 27.4007i | −0.761300 | + | 1.21213i | ||||
\(512\) | −3.88076 | − | 26.9912i | −0.171507 | − | 1.19286i | ||||
\(513\) | −1.51756 | − | 6.25545i | −0.0670017 | − | 0.276185i | ||||
\(514\) | −0.574733 | − | 12.0651i | −0.0253504 | − | 0.532170i | ||||
\(515\) | 27.7973 | + | 2.65432i | 1.22489 | + | 0.116963i | ||||
\(516\) | −10.0099 | − | 9.54437i | −0.440659 | − | 0.420168i | ||||
\(517\) | −7.77555 | + | 8.97347i | −0.341968 | + | 0.394653i | ||||
\(518\) | −18.1128 | + | 16.0276i | −0.795831 | + | 0.704212i | ||||
\(519\) | −7.34873 | + | 2.15778i | −0.322574 | + | 0.0947161i | ||||
\(520\) | 5.77546 | − | 8.11050i | 0.253271 | − | 0.355669i | ||||
\(521\) | −1.97587 | − | 41.4786i | −0.0865645 | − | 1.81721i | −0.458217 | − | 0.888840i | \(-0.651512\pi\) |
0.371653 | − | 0.928372i | \(-0.378791\pi\) | |||||||
\(522\) | −3.34111 | + | 3.18574i | −0.146237 | + | 0.139436i | ||||
\(523\) | −10.5346 | + | 8.28454i | −0.460648 | + | 0.362258i | −0.821351 | − | 0.570423i | \(-0.806779\pi\) |
0.360703 | + | 0.932681i | \(0.382537\pi\) | |||||||
\(524\) | 6.58287 | − | 14.4145i | 0.287574 | − | 0.629699i | ||||
\(525\) | 4.82939 | + | 4.96061i | 0.210772 | + | 0.216499i | ||||
\(526\) | 16.6796 | + | 10.7193i | 0.727264 | + | 0.467384i | ||||
\(527\) | 3.22046 | − | 9.30491i | 0.140285 | − | 0.405328i | ||||
\(528\) | −6.77874 | + | 11.7411i | −0.295007 | + | 0.510967i | ||||
\(529\) | 10.4001 | − | 20.5143i | 0.452180 | − | 0.891927i | ||||
\(530\) | 10.7989 | + | 18.7042i | 0.469073 | + | 0.812459i | ||||
\(531\) | −0.201861 | − | 0.232960i | −0.00876003 | − | 0.0101096i | ||||
\(532\) | −7.68403 | + | 42.2267i | −0.333145 | + | 1.83076i | ||||
\(533\) | −1.02749 | + | 7.14632i | −0.0445053 | + | 0.309541i | ||||
\(534\) | 30.7683 | − | 2.93802i | 1.33148 | − | 0.127141i | ||||
\(535\) | −10.9521 | − | 4.38457i | −0.473502 | − | 0.189562i | ||||
\(536\) | −2.69195 | + | 2.56677i | −0.116275 | + | 0.110868i | ||||
\(537\) | −14.7228 | − | 7.59014i | −0.635336 | − | 0.327539i | ||||
\(538\) | −18.6549 | − | 40.8485i | −0.804270 | − | 1.76110i | ||||
\(539\) | −18.2783 | − | 30.1911i | −0.787303 | − | 1.30042i | ||||
\(540\) | 2.54784 | − | 2.94036i | 0.109642 | − | 0.126533i | ||||
\(541\) | −32.4333 | − | 6.25101i | −1.39442 | − | 0.268752i | −0.563946 | − | 0.825812i | \(-0.690717\pi\) |
−0.830472 | + | 0.557060i | \(0.811929\pi\) | |||||||
\(542\) | −5.72538 | + | 23.6003i | −0.245926 | + | 1.01372i | ||||
\(543\) | 7.32942 | + | 0.699875i | 0.314535 | + | 0.0300345i | ||||
\(544\) | 13.0293 | + | 6.71707i | 0.558627 | + | 0.287992i | ||||
\(545\) | 17.3627 | + | 5.09814i | 0.743735 | + | 0.218380i | ||||
\(546\) | 28.2355 | − | 16.6956i | 1.20837 | − | 0.714507i | ||||
\(547\) | 0.544445 | − | 1.19217i | 0.0232788 | − | 0.0509735i | −0.897635 | − | 0.440739i | \(-0.854717\pi\) |
0.920914 | + | 0.389765i | \(0.127444\pi\) | |||||||
\(548\) | 20.2149 | − | 8.09283i | 0.863538 | − | 0.345709i | ||||
\(549\) | −1.00295 | + | 0.517058i | −0.0428050 | + | 0.0220675i | ||||
\(550\) | 27.5428 | − | 5.30844i | 1.17443 | − | 0.226353i | ||||
\(551\) | −6.98843 | − | 12.1043i | −0.297717 | − | 0.515661i | ||||
\(552\) | −0.144232 | − | 5.30221i | −0.00613894 | − | 0.225677i | ||||
\(553\) | 21.1357 | − | 27.4591i | 0.898781 | − | 1.16768i | ||||
\(554\) | −21.4790 | − | 24.7881i | −0.912555 | − | 1.05315i | ||||
\(555\) | −0.315837 | + | 6.63024i | −0.0134065 | + | 0.281438i | ||||
\(556\) | −26.5974 | − | 20.9164i | −1.12798 | − | 0.887055i | ||||
\(557\) | 5.15295 | + | 7.23631i | 0.218337 | + | 0.306612i | 0.909188 | − | 0.416385i | \(-0.136703\pi\) |
−0.690851 | + | 0.722997i | \(0.742764\pi\) | |||||||
\(558\) | 8.90077 | − | 6.99964i | 0.376800 | − | 0.296319i | ||||
\(559\) | −30.7065 | − | 9.01624i | −1.29875 | − | 0.381346i | ||||
\(560\) | 9.94257 | − | 4.66617i | 0.420150 | − | 0.197181i | ||||
\(561\) | −3.87219 | − | 8.47892i | −0.163484 | − | 0.357980i | ||||
\(562\) | 28.0998 | + | 26.7931i | 1.18532 | + | 1.13020i | ||||
\(563\) | 9.16668 | + | 26.4854i | 0.386329 | + | 1.11623i | 0.955750 | + | 0.294179i | \(0.0950463\pi\) |
−0.569421 | + | 0.822046i | \(0.692832\pi\) | |||||||
\(564\) | 1.94117 | + | 5.60865i | 0.0817382 | + | 0.236167i | ||||
\(565\) | −23.3652 | − | 22.2787i | −0.982983 | − | 0.937272i | ||||
\(566\) | −5.97370 | − | 13.0806i | −0.251093 | − | 0.549817i | ||||
\(567\) | 2.39510 | − | 1.12405i | 0.100585 | − | 0.0472057i | ||||
\(568\) | 16.1311 | + | 4.73652i | 0.676846 | + | 0.198740i | ||||
\(569\) | −13.5100 | + | 10.6244i | −0.566369 | + | 0.445397i | −0.859835 | − | 0.510572i | \(-0.829434\pi\) |
0.293466 | + | 0.955969i | \(0.405191\pi\) | |||||||
\(570\) | 12.2550 | + | 17.2097i | 0.513305 | + | 0.720837i | ||||
\(571\) | −24.2580 | − | 19.0767i | −1.01516 | − | 0.798335i | −0.0355804 | − | 0.999367i | \(-0.511328\pi\) |
−0.979585 | + | 0.201032i | \(0.935570\pi\) | |||||||
\(572\) | 3.52570 | − | 74.0135i | 0.147417 | − | 3.09466i | ||||
\(573\) | 4.37018 | + | 5.04345i | 0.182567 | + | 0.210693i | ||||
\(574\) | 4.24789 | − | 5.51878i | 0.177304 | − | 0.230350i | ||||
\(575\) | 9.25720 | − | 8.47294i | 0.386052 | − | 0.353346i | ||||
\(576\) | 5.73982 | + | 9.94166i | 0.239159 | + | 0.414236i | ||||
\(577\) | 24.8880 | − | 4.79677i | 1.03610 | − | 0.199692i | 0.357281 | − | 0.933997i | \(-0.383704\pi\) |
0.678820 | + | 0.734305i | \(0.262492\pi\) | |||||||
\(578\) | 25.6664 | − | 13.2320i | 1.06758 | − | 0.550377i | ||||
\(579\) | −13.3764 | + | 5.35510i | −0.555904 | + | 0.222550i | ||||
\(580\) | 3.50944 | − | 7.68461i | 0.145722 | − | 0.319086i | ||||
\(581\) | 13.3176 | − | 7.87466i | 0.552506 | − | 0.326696i | ||||
\(582\) | 12.0751 | + | 3.54558i | 0.500531 | + | 0.146969i | ||||
\(583\) | 29.4887 | + | 15.2025i | 1.22130 | + | 0.629622i | ||||
\(584\) | 13.4648 | + | 1.28573i | 0.557176 | + | 0.0532038i | ||||
\(585\) | 2.12242 | − | 8.74873i | 0.0877512 | − | 0.361715i | ||||
\(586\) | 14.7879 | + | 2.85014i | 0.610884 | + | 0.117738i | ||||
\(587\) | −2.28476 | + | 2.63675i | −0.0943020 | + | 0.108830i | −0.800939 | − | 0.598746i | \(-0.795666\pi\) |
0.706637 | + | 0.707576i | \(0.250211\pi\) | |||||||
\(588\) | −17.6376 | + | 0.366853i | −0.727363 | + | 0.0151288i | ||||
\(589\) | 14.2415 | + | 31.1845i | 0.586810 | + | 1.28493i | ||||
\(590\) | 0.899273 | + | 0.463607i | 0.0370225 | + | 0.0190864i | ||||
\(591\) | −8.25289 | + | 7.86912i | −0.339479 | + | 0.323692i | ||||
\(592\) | −10.7335 | − | 4.29704i | −0.441144 | − | 0.176607i | ||||
\(593\) | 24.4400 | − | 2.33374i | 1.00363 | − | 0.0958350i | 0.419720 | − | 0.907654i | \(-0.362128\pi\) |
0.583910 | + | 0.811819i | \(0.301522\pi\) | |||||||
\(594\) | 1.52553 | − | 10.6103i | 0.0625933 | − | 0.435346i | ||||
\(595\) | −1.35191 | + | 7.42926i | −0.0554229 | + | 0.304570i | ||||
\(596\) | −12.5816 | − | 14.5200i | −0.515364 | − | 0.594762i | ||||
\(597\) | −4.12187 | − | 7.13929i | −0.168697 | − | 0.292192i | ||||
\(598\) | −28.6728 | − | 52.0890i | −1.17252 | − | 2.13008i | ||||
\(599\) | −15.0888 | + | 26.1346i | −0.616512 | + | 1.06783i | 0.373605 | + | 0.927588i | \(0.378121\pi\) |
−0.990117 | + | 0.140242i | \(0.955212\pi\) | |||||||
\(600\) | 0.946562 | − | 2.73491i | 0.0386432 | − | 0.111652i | ||||
\(601\) | 7.70095 | + | 4.94910i | 0.314128 | + | 0.201878i | 0.688199 | − | 0.725522i | \(-0.258402\pi\) |
−0.374070 | + | 0.927400i | \(0.622038\pi\) | |||||||
\(602\) | 21.5341 | + | 22.1192i | 0.877665 | + | 0.901510i | ||||
\(603\) | −1.39707 | + | 3.05915i | −0.0568930 | + | 0.124578i | ||||
\(604\) | −15.9391 | + | 12.5347i | −0.648554 | + | 0.510029i | ||||
\(605\) | −16.1118 | + | 15.3626i | −0.655040 | + | 0.624579i | ||||
\(606\) | −1.01034 | − | 21.2097i | −0.0410423 | − | 0.861584i | ||||
\(607\) | −18.6054 | + | 26.1276i | −0.755169 | + | 1.06049i | 0.240782 | + | 0.970579i | \(0.422596\pi\) |
−0.995950 | + | 0.0899066i | \(0.971343\pi\) | |||||||
\(608\) | −48.9705 | + | 14.3790i | −1.98602 | + | 0.583147i | ||||
\(609\) | 4.30235 | − | 3.80705i | 0.174340 | − | 0.154269i | ||||
\(610\) | 2.42535 | − | 2.79901i | 0.0981996 | − | 0.113328i | ||||
\(611\) | 9.93906 | + | 9.47687i | 0.402091 | + | 0.383393i | ||||
\(612\) | −4.63819 | − | 0.442893i | −0.187488 | − | 0.0179029i | ||||
\(613\) | 1.56437 | + | 32.8401i | 0.0631842 | + | 1.32640i | 0.778520 | + | 0.627620i | \(0.215971\pi\) |
−0.715336 | + | 0.698781i | \(0.753726\pi\) | |||||||
\(614\) | 4.16314 | + | 17.1607i | 0.168011 | + | 0.692549i | ||||
\(615\) | −0.272012 | − | 1.89188i | −0.0109686 | − | 0.0762880i | ||||
\(616\) | −7.84684 | + | 12.4937i | −0.316158 | + | 0.503384i | ||||
\(617\) | 3.52701 | − | 24.5309i | 0.141992 | − | 0.987577i | −0.786861 | − | 0.617130i | \(-0.788295\pi\) |
0.928853 | − | 0.370447i | \(-0.120796\pi\) | |||||||
\(618\) | 1.82981 | − | 38.4125i | 0.0736059 | − | 1.54518i | ||||
\(619\) | 25.4284 | − | 4.90092i | 1.02205 | − | 0.196985i | 0.349425 | − | 0.936964i | \(-0.386377\pi\) |
0.672629 | + | 0.739980i | \(0.265165\pi\) | |||||||
\(620\) | −10.3607 | + | 17.9453i | −0.416096 | + | 0.720700i | ||||
\(621\) | −1.90284 | − | 4.40218i | −0.0763583 | − | 0.176653i | ||||
\(622\) | 57.9791 | 2.32475 | ||||||||
\(623\) | −38.3985 | + | 2.22954i | −1.53840 | + | 0.0893247i | ||||
\(624\) | 13.1914 | + | 8.47757i | 0.528077 | + | 0.339375i | ||||
\(625\) | −4.70604 | + | 1.88401i | −0.188242 | + | 0.0753605i | ||||
\(626\) | −10.1342 | − | 14.2315i | −0.405045 | − | 0.568806i | ||||
\(627\) | 30.1292 | + | 12.0619i | 1.20325 | + | 0.481707i | ||||
\(628\) | 0.475026 | + | 1.95808i | 0.0189556 | + | 0.0781360i | ||||
\(629\) | 6.68720 | − | 4.29760i | 0.266636 | − | 0.171357i | ||||
\(630\) | −5.92691 | + | 6.34681i | −0.236134 | + | 0.252863i | ||||
\(631\) | 29.3664 | − | 8.62275i | 1.16906 | − | 0.343266i | 0.361111 | − | 0.932523i | \(-0.382398\pi\) |
0.807946 | + | 0.589257i | \(0.200579\pi\) | |||||||
\(632\) | −14.2234 | − | 2.74134i | −0.565778 | − | 0.109045i | ||||
\(633\) | −2.75156 | − | 7.95010i | −0.109364 | − | 0.315988i | ||||
\(634\) | 4.38653 | − | 18.0815i | 0.174211 | − | 0.718109i | ||||
\(635\) | 13.2728 | − | 18.6391i | 0.526716 | − | 0.739669i | ||||
\(636\) | 13.9510 | − | 8.96576i | 0.553193 | − | 0.355515i | ||||
\(637\) | −35.8855 | + | 19.4553i | −1.42184 | + | 0.770846i | ||||
\(638\) | −3.31249 | − | 23.0388i | −0.131143 | − | 0.912117i | ||||
\(639\) | 15.1321 | − | 1.44494i | 0.598615 | − | 0.0571608i | ||||
\(640\) | −10.3738 | − | 8.15804i | −0.410060 | − | 0.322475i | ||||
\(641\) | −8.64632 | + | 4.45749i | −0.341509 | + | 0.176060i | −0.620446 | − | 0.784249i | \(-0.713048\pi\) |
0.278937 | + | 0.960310i | \(0.410018\pi\) | |||||||
\(642\) | −5.31384 | + | 15.3533i | −0.209720 | + | 0.605948i | ||||
\(643\) | −15.3263 | −0.604411 | −0.302206 | − | 0.953243i | \(-0.597723\pi\) | ||||
−0.302206 | + | 0.953243i | \(0.597723\pi\) | |||||||
\(644\) | −0.319966 | + | 31.9762i | −0.0126084 | + | 1.26004i | ||||
\(645\) | 8.47228 | 0.333596 | ||||||||
\(646\) | 8.27517 | − | 23.9095i | 0.325582 | − | 0.940708i | ||||
\(647\) | 9.39039 | − | 4.84108i | 0.369174 | − | 0.190323i | −0.263649 | − | 0.964619i | \(-0.584926\pi\) |
0.632824 | + | 0.774296i | \(0.281896\pi\) | |||||||
\(648\) | −0.869371 | − | 0.683681i | −0.0341521 | − | 0.0268575i | ||||
\(649\) | 1.54712 | − | 0.147732i | 0.0607298 | − | 0.00579900i | ||||
\(650\) | −4.61703 | − | 32.1121i | −0.181095 | − | 1.25954i | ||||
\(651\) | −11.3927 | + | 8.29257i | −0.446514 | + | 0.325011i | ||||
\(652\) | −44.6337 | + | 28.6843i | −1.74799 | + | 1.12336i | ||||
\(653\) | −13.4194 | + | 18.8449i | −0.525143 | + | 0.737460i | −0.988913 | − | 0.148496i | \(-0.952557\pi\) |
0.463770 | + | 0.885955i | \(0.346496\pi\) | |||||||
\(654\) | 5.87536 | − | 24.2186i | 0.229745 | − | 0.947021i | ||||
\(655\) | 3.17485 | + | 9.17312i | 0.124052 | + | 0.358423i | ||||
\(656\) | 3.26902 | + | 0.630051i | 0.127634 | + | 0.0245994i | ||||
\(657\) | 11.7343 | − | 3.44551i | 0.457800 | − | 0.134422i | ||||
\(658\) | −3.86408 | − | 12.6709i | −0.150638 | − | 0.493965i | ||||
\(659\) | −11.6331 | + | 7.47611i | −0.453159 | + | 0.291228i | −0.747242 | − | 0.664552i | \(-0.768622\pi\) |
0.294082 | + | 0.955780i | \(0.404986\pi\) | |||||||
\(660\) | 4.62469 | + | 19.0632i | 0.180016 | + | 0.742036i | ||||
\(661\) | 10.1511 | + | 4.06389i | 0.394832 | + | 0.158067i | 0.560578 | − | 0.828102i | \(-0.310579\pi\) |
−0.165746 | + | 0.986168i | \(0.553003\pi\) | |||||||
\(662\) | −23.1076 | − | 32.4501i | −0.898104 | − | 1.26121i | ||||
\(663\) | −10.0087 | + | 4.00689i | −0.388707 | + | 0.155615i | ||||
\(664\) | −5.44082 | − | 3.49660i | −0.211145 | − | 0.135694i | ||||
\(665\) | −14.4434 | − | 21.9687i | −0.560090 | − | 0.851909i | ||||
\(666\) | 9.14141 | 0.354222 | ||||||||
\(667\) | −6.65741 | − | 8.00750i | −0.257776 | − | 0.310052i | ||||
\(668\) | −18.5305 | + | 32.0957i | −0.716966 | + | 1.24182i | ||||
\(669\) | −27.8229 | + | 5.36243i | −1.07570 | + | 0.207324i | ||||
\(670\) | 0.525222 | − | 11.0258i | 0.0202911 | − | 0.425963i | ||||
\(671\) | 0.809657 | − | 5.63129i | 0.0312565 | − | 0.217394i | ||||
\(672\) | −9.80607 | − | 18.5451i | −0.378277 | − | 0.715392i | ||||
\(673\) | −4.31043 | − | 29.9797i | −0.166155 | − | 1.15563i | −0.886741 | − | 0.462267i | \(-0.847036\pi\) |
0.720586 | − | 0.693365i | \(-0.243873\pi\) | |||||||
\(674\) | −3.15390 | − | 13.0005i | −0.121484 | − | 0.500762i | ||||
\(675\) | −0.124509 | − | 2.61376i | −0.00479234 | − | 0.100604i | ||||
\(676\) | −52.6988 | − | 5.03213i | −2.02688 | − | 0.193543i | ||||
\(677\) | 5.16831 | + | 4.92797i | 0.198634 | + | 0.189397i | 0.782868 | − | 0.622188i | \(-0.213756\pi\) |
−0.584233 | + | 0.811586i | \(0.698605\pi\) | |||||||
\(678\) | −29.1160 | + | 33.6017i | −1.11819 | + | 1.29046i | ||||
\(679\) | −14.8522 | − | 4.96806i | −0.569973 | − | 0.190657i | ||||
\(680\) | 3.02877 | − | 0.889326i | 0.116148 | − | 0.0341041i | ||||
\(681\) | −4.17777 | + | 5.86685i | −0.160092 | + | 0.224818i | ||||
\(682\) | 2.71650 | + | 57.0263i | 0.104020 | + | 2.18365i | ||||
\(683\) | −27.4260 | + | 26.1506i | −1.04943 | + | 1.00063i | −0.0494273 | + | 0.998778i | \(0.515740\pi\) |
−0.999998 | + | 0.00184754i | \(0.999412\pi\) | |||||||
\(684\) | 12.7516 | − | 10.0280i | 0.487569 | − | 0.383428i | ||||
\(685\) | −5.54096 | + | 12.1330i | −0.211709 | + | 0.463579i | ||||
\(686\) | 39.3702 | + | 0.645934i | 1.50316 | + | 0.0246619i | ||||
\(687\) | 8.08426 | + | 5.19544i | 0.308434 | + | 0.198218i | ||||
\(688\) | −4.82656 | + | 13.9454i | −0.184011 | + | 0.531665i | ||||
\(689\) | 19.1862 | − | 33.2314i | 0.730934 | − | 1.26602i | ||||
\(690\) | 11.1682 | + | 11.0927i | 0.425168 | + | 0.422290i | ||||
\(691\) | 13.4545 | + | 23.3039i | 0.511834 | + | 0.886522i | 0.999906 | + | 0.0137185i | \(0.00436689\pi\) |
−0.488072 | + | 0.872803i | \(0.662300\pi\) | |||||||
\(692\) | −12.6402 | − | 14.5876i | −0.480510 | − | 0.554538i | ||||
\(693\) | −2.38819 | + | 13.1240i | −0.0907198 | + | 0.498540i | ||||
\(694\) | −0.322313 | + | 2.24174i | −0.0122348 | + | 0.0850951i | ||||
\(695\) | 20.6333 | − | 1.97024i | 0.782665 | − | 0.0747354i | ||||
\(696\) | −2.22950 | − | 0.892555i | −0.0845088 | − | 0.0338322i | ||||
\(697\) | −1.65658 | + | 1.57954i | −0.0627474 | + | 0.0598295i | ||||
\(698\) | 6.97630 | + | 3.59653i | 0.264057 | + | 0.136131i | ||||
\(699\) | 8.53371 | + | 18.6862i | 0.322774 | + | 0.706777i | ||||
\(700\) | −6.31594 | + | 16.2646i | −0.238720 | + | 0.614744i | ||||
\(701\) | −10.7743 | + | 12.4343i | −0.406941 | + | 0.469635i | −0.921815 | − | 0.387631i | \(-0.873294\pi\) |
0.514873 | + | 0.857266i | \(0.327839\pi\) | |||||||
\(702\) | −12.1740 | − | 2.34635i | −0.459479 | − | 0.0885574i | ||||
\(703\) | −6.52497 | + | 26.8963i | −0.246094 | + | 1.01441i | ||||
\(704\) | −57.6168 | − | 5.50173i | −2.17151 | − | 0.207354i | ||||
\(705\) | −3.23146 | − | 1.66594i | −0.121704 | − | 0.0627428i | ||||
\(706\) | −15.3608 | − | 4.51033i | −0.578111 | − | 0.169749i | ||||
\(707\) | 0.274756 | + | 26.4224i | 0.0103333 | + | 0.993717i | ||||
\(708\) | 0.322717 | − | 0.706652i | 0.0121284 | − | 0.0265576i | ||||
\(709\) | −9.31748 | + | 3.73016i | −0.349925 | + | 0.140089i | −0.539965 | − | 0.841687i | \(-0.681563\pi\) |
0.190040 | + | 0.981776i | \(0.439138\pi\) | |||||||
\(710\) | −44.3463 | + | 22.8621i | −1.66429 | + | 0.857999i | ||||
\(711\) | −12.8603 | + | 2.47862i | −0.482299 | + | 0.0929556i | ||||
\(712\) | 8.03932 | + | 13.9245i | 0.301286 | + | 0.521843i | ||||
\(713\) | 14.3884 | + | 21.1041i | 0.538851 | + | 0.790356i | ||||
\(714\) | 10.3085 | + | 1.37289i | 0.385784 | + | 0.0513790i | ||||
\(715\) | 29.7237 | + | 34.3030i | 1.11160 | + | 1.28286i | ||||
\(716\) | 1.98631 | − | 41.6978i | 0.0742319 | − | 1.55832i | ||||
\(717\) | 6.04902 | + | 4.75700i | 0.225905 | + | 0.177653i | ||||
\(718\) | −20.9505 | − | 29.4209i | −0.781866 | − | 1.09798i | ||||
\(719\) | 40.1079 | − | 31.5412i | 1.49577 | − | 1.17629i | 0.557606 | − | 0.830106i | \(-0.311720\pi\) |
0.938167 | − | 0.346183i | \(-0.112522\pi\) | |||||||
\(720\) | −3.98306 | − | 1.16953i | −0.148440 | − | 0.0435858i | ||||
\(721\) | −4.05339 | + | 47.6838i | −0.150956 | + | 1.77584i | ||||
\(722\) | 19.8135 | + | 43.3854i | 0.737381 | + | 1.61464i | ||||
\(723\) | −2.40259 | − | 2.29087i | −0.0893533 | − | 0.0851982i | ||||
\(724\) | 6.06896 | + | 17.5351i | 0.225551 | + | 0.651687i | ||||
\(725\) | −1.85836 | − | 5.36937i | −0.0690176 | − | 0.199413i | ||||
\(726\) | 22.1890 | + | 21.1571i | 0.823510 | + | 0.785215i | ||||
\(727\) | −12.7538 | − | 27.9270i | −0.473014 | − | 1.03576i | −0.984326 | − | 0.176361i | \(-0.943567\pi\) |
0.511311 | − | 0.859395i | \(-0.329160\pi\) | |||||||
\(728\) | 14.0020 | + | 9.75296i | 0.518949 | + | 0.361469i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −31.5526 | + | 24.8132i | −1.16781 | + | 0.918378i | ||||
\(731\) | −5.88527 | − | 8.26471i | −0.217675 | − | 0.305681i | ||||
\(732\) | −2.23536 | − | 1.75791i | −0.0826212 | − | 0.0649740i | ||||
\(733\) | −2.23651 | + | 46.9502i | −0.0826075 | + | 1.73415i | 0.454600 | + | 0.890696i | \(0.349782\pi\) |
−0.537208 | + | 0.843450i | \(0.680521\pi\) | |||||||
\(734\) | 45.2826 | + | 52.2589i | 1.67141 | + | 1.92891i | ||||
\(735\) | 7.66427 | − | 7.61837i | 0.282701 | − | 0.281008i | ||||
\(736\) | −34.1473 | + | 16.7313i | −1.25869 | + | 0.616724i | ||||
\(737\) | −8.47806 | − | 14.6844i | −0.312294 | − | 0.540908i | ||||
\(738\) | −2.58469 | + | 0.498159i | −0.0951438 | + | 0.0183375i | ||||
\(739\) | −11.5710 | + | 5.96529i | −0.425648 | + | 0.219437i | −0.657721 | − | 0.753262i | \(-0.728479\pi\) |
0.232073 | + | 0.972698i | \(0.425449\pi\) | |||||||
\(740\) | −15.5302 | + | 6.21736i | −0.570902 | + | 0.228555i | ||||
\(741\) | 15.5932 | − | 34.1443i | 0.572829 | − | 1.25432i | ||||
\(742\) | −31.8612 | + | 18.8395i | −1.16966 | + | 0.691620i | ||||
\(743\) | −15.8206 | − | 4.64536i | −0.580403 | − | 0.170422i | −0.0216640 | − | 0.999765i | \(-0.506896\pi\) |
−0.558739 | + | 0.829344i | \(0.688715\pi\) | |||||||
\(744\) | 5.23566 | + | 2.69917i | 0.191949 | + | 0.0989564i | ||||
\(745\) | 11.7157 | + | 1.11872i | 0.429231 | + | 0.0409866i | ||||
\(746\) | −12.8610 | + | 53.0139i | −0.470876 | + | 1.94098i | ||||
\(747\) | −5.74201 | − | 1.10668i | −0.210089 | − | 0.0404914i | ||||
\(748\) | 15.3837 | − | 17.7537i | 0.562482 | − | 0.649139i | ||||
\(749\) | 7.31873 | − | 18.8470i | 0.267421 | − | 0.688653i | ||||
\(750\) | 10.3852 | + | 22.7405i | 0.379215 | + | 0.830366i | ||||
\(751\) | 14.9107 | + | 7.68699i | 0.544098 | + | 0.280502i | 0.708284 | − | 0.705927i | \(-0.249469\pi\) |
−0.164186 | + | 0.986429i | \(0.552500\pi\) | |||||||
\(752\) | 4.58307 | − | 4.36995i | 0.167128 | − | 0.159356i | ||||
\(753\) | −26.1081 | − | 10.4521i | −0.951432 | − | 0.380896i | ||||
\(754\) | −26.7989 | + | 2.55898i | −0.975958 | + | 0.0931927i | ||||
\(755\) | 1.76772 | − | 12.2948i | 0.0643341 | − | 0.447453i | ||||
\(756\) | 5.08434 | + | 4.31387i | 0.184916 | + | 0.156894i | ||||
\(757\) | 8.18478 | + | 9.44574i | 0.297481 | + | 0.343311i | 0.884738 | − | 0.466089i | \(-0.154338\pi\) |
−0.587257 | + | 0.809401i | \(0.699792\pi\) | |||||||
\(758\) | −30.9398 | − | 53.5894i | −1.12379 | − | 1.94645i | ||||
\(759\) | 23.6447 | + | 5.05956i | 0.858248 | + | 0.183650i | ||||
\(760\) | −5.49524 | + | 9.51804i | −0.199333 | + | 0.345256i | ||||
\(761\) | 8.52300 | − | 24.6256i | 0.308959 | − | 0.892677i | −0.678472 | − | 0.734626i | \(-0.737358\pi\) |
0.987431 | − | 0.158051i | \(-0.0505211\pi\) | |||||||
\(762\) | −26.5101 | − | 17.0370i | −0.960360 | − | 0.617186i | ||||
\(763\) | −8.42734 | + | 29.8455i | −0.305090 | + | 1.08048i | ||||
\(764\) | −6.98663 | + | 15.2986i | −0.252768 | + | 0.553484i | ||||
\(765\) | 2.24348 | − | 1.76429i | 0.0811132 | − | 0.0637882i | ||||
\(766\) | 26.7060 | − | 25.4641i | 0.964926 | − | 0.920055i | ||||
\(767\) | −0.0855306 | − | 1.79551i | −0.00308833 | − | 0.0648320i | ||||
\(768\) | 2.77508 | − | 3.89705i | 0.100137 | − | 0.140623i | ||||
\(769\) | −3.02374 | + | 0.887850i | −0.109039 | + | 0.0320167i | −0.335797 | − | 0.941934i | \(-0.609006\pi\) |
0.226758 | + | 0.973951i | \(0.427187\pi\) | |||||||
\(770\) | −8.73260 | − | 42.9035i | −0.314701 | − | 1.54613i | ||||
\(771\) | 3.72044 | − | 4.29361i | 0.133988 | − | 0.154631i | ||||
\(772\) | −26.2805 | − | 25.0584i | −0.945856 | − | 0.901872i | ||||
\(773\) | −21.3892 | − | 2.04242i | −0.769315 | − | 0.0734607i | −0.296985 | − | 0.954882i | \(-0.595981\pi\) |
−0.472330 | + | 0.881422i | \(0.656587\pi\) | |||||||
\(774\) | −0.555180 | − | 11.6547i | −0.0199555 | − | 0.418918i | ||||
\(775\) | 3.28566 | + | 13.5437i | 0.118024 | + | 0.486503i | ||||
\(776\) | 0.931698 | + | 6.48010i | 0.0334460 | + | 0.232622i | ||||
\(777\) | −11.3680 | − | 0.423102i | −0.407823 | − | 0.0151787i | ||||
\(778\) | 5.30691 | − | 36.9103i | 0.190262 | − | 1.32330i | ||||
\(779\) | 0.379200 | − | 7.96038i | 0.0135862 | − | 0.285210i | ||||
\(780\) | 22.2781 | − | 4.29376i | 0.797685 | − | 0.153741i | ||||
\(781\) | −38.3205 | + | 66.3730i | −1.37121 | + | 2.37501i | ||||
\(782\) | 3.06286 | − | 18.6002i | 0.109528 | − | 0.665140i | ||||
\(783\) | −2.17137 | −0.0775983 | ||||||||
\(784\) | 8.17365 | + | 16.9556i | 0.291916 | + | 0.605556i | ||||
\(785\) | −1.03831 | − | 0.667282i | −0.0370589 | − | 0.0238163i | ||||
\(786\) | 12.4107 | − | 4.96850i | 0.442675 | − | 0.177220i | ||||
\(787\) | −24.6321 | − | 34.5910i | −0.878041 | − | 1.23304i | −0.971411 | − | 0.237405i | \(-0.923703\pi\) |
0.0933698 | − | 0.995631i | \(-0.470236\pi\) | |||||||
\(788\) | −26.6798 | − | 10.6810i | −0.950430 | − | 0.380495i | ||||
\(789\) | 2.19860 | + | 9.06277i | 0.0782724 | + | 0.322643i | ||||
\(790\) | 36.1630 | − | 23.2406i | 1.28662 | − | 0.826862i | ||||
\(791\) | 37.7630 | − | 40.4383i | 1.34270 | − | 1.43782i | ||||
\(792\) | 5.35041 | − | 1.57102i | 0.190118 | − | 0.0558238i | ||||
\(793\) | −6.46123 | − | 1.24530i | −0.229445 | − | 0.0442219i | ||||
\(794\) | 22.2114 | + | 64.1757i | 0.788254 | + | 2.27751i | ||||
\(795\) | −2.39496 | + | 9.87215i | −0.0849404 | + | 0.350129i | ||||
\(796\) | 12.0512 | − | 16.9236i | 0.427144 | − | 0.599840i | ||||
\(797\) | 12.1051 | − | 7.77947i | 0.428784 | − | 0.275563i | −0.308397 | − | 0.951258i | \(-0.599793\pi\) |
0.737181 | + | 0.675695i | \(0.236156\pi\) | |||||||
\(798\) | −29.2742 | + | 21.3082i | −1.03629 | + | 0.754304i | ||||
\(799\) | 0.619618 | + | 4.30954i | 0.0219205 | + | 0.152461i | ||||
\(800\) | −20.6540 | + | 1.97221i | −0.730228 | + | 0.0697283i | ||||
\(801\) | 11.4274 | + | 8.98662i | 0.403768 | + | 0.317526i | ||||
\(802\) | −42.2759 | + | 21.7947i | −1.49281 | + | 0.769599i | ||||
\(803\) | −20.1672 | + | 58.2693i | −0.711686 | + | 2.05628i | ||||
\(804\) | −8.47561 | −0.298912 | ||||||||
\(805\) | −13.3751 | − | 14.3114i | −0.471409 | − | 0.504410i | ||||
\(806\) | 66.0315 | 2.32586 | ||||||||
\(807\) | 6.90827 | − | 19.9601i | 0.243183 | − | 0.702630i | ||||
\(808\) | 9.81797 | − | 5.06152i | 0.345395 | − | 0.178064i | ||||
\(809\) | −39.7563 | − | 31.2647i | −1.39776 | − | 1.09921i | −0.981820 | − | 0.189815i | \(-0.939211\pi\) |
−0.415937 | − | 0.909393i | \(-0.636546\pi\) | |||||||
\(810\) | 3.26735 | − | 0.311994i | 0.114803 | − | 0.0109623i | ||||
\(811\) | −6.93720 | − | 48.2493i | −0.243598 | − | 1.69426i | −0.633772 | − | 0.773520i | \(-0.718494\pi\) |
0.390174 | − | 0.920741i | \(-0.372415\pi\) | |||||||
\(812\) | 13.2318 | + | 5.87724i | 0.464344 | + | 0.206251i | ||||
\(813\) | −9.60913 | + | 6.17541i | −0.337007 | + | 0.216581i | ||||
\(814\) | −26.7347 | + | 37.5436i | −0.937051 | + | 1.31590i | ||||
\(815\) | 7.66223 | − | 31.5842i | 0.268396 | − | 1.10634i | ||||
\(816\) | 1.62595 | + | 4.69789i | 0.0569198 | + | 0.164459i | ||||
\(817\) | 34.6872 | + | 6.68541i | 1.21355 | + | 0.233893i | ||||
\(818\) | −17.2813 | + | 5.07424i | −0.604226 | + | 0.177417i | ||||
\(819\) | 15.0306 | + | 3.48131i | 0.525213 | + | 0.121647i | ||||
\(820\) | 4.05228 | − | 2.60424i | 0.141512 | − | 0.0909442i | ||||
\(821\) | −12.2695 | − | 50.5754i | −0.428207 | − | 1.76509i | −0.620956 | − | 0.783845i | \(-0.713256\pi\) |
0.192749 | − | 0.981248i | \(-0.438260\pi\) | |||||||
\(822\) | 17.0536 | + | 6.82722i | 0.594811 | + | 0.238126i | ||||
\(823\) | 6.36432 | + | 8.93744i | 0.221846 | + | 0.311540i | 0.910467 | − | 0.413583i | \(-0.135723\pi\) |
−0.688620 | + | 0.725122i | \(0.741783\pi\) | |||||||
\(824\) | 18.5720 | − | 7.43512i | 0.646987 | − | 0.259015i | ||||
\(825\) | 11.0988 | + | 7.13277i | 0.386411 | + | 0.248331i | ||||
\(826\) | −0.778465 | + | 1.54936i | −0.0270863 | + | 0.0539091i | ||||
\(827\) | 28.5910 | 0.994206 | 0.497103 | − | 0.867692i | \(-0.334397\pi\) | ||||
0.497103 | + | 0.867692i | \(0.334397\pi\) | |||||||
\(828\) | 8.09968 | − | 8.97096i | 0.281483 | − | 0.311762i | ||||
\(829\) | −8.88029 | + | 15.3811i | −0.308425 | + | 0.534208i | −0.978018 | − | 0.208520i | \(-0.933135\pi\) |
0.669593 | + | 0.742728i | \(0.266469\pi\) | |||||||
\(830\) | 18.8465 | − | 3.63236i | 0.654171 | − | 0.126081i | ||||
\(831\) | 0.734054 | − | 15.4097i | 0.0254641 | − | 0.534556i | ||||
\(832\) | −9.52695 | + | 66.2614i | −0.330288 | + | 2.29720i | ||||
\(833\) | −12.7557 | − | 2.18439i | −0.441959 | − | 0.0756848i | ||||
\(834\) | −4.06238 | − | 28.2545i | −0.140669 | − | 0.978374i | ||||
\(835\) | −5.35225 | − | 22.0623i | −0.185222 | − | 0.763497i | ||||
\(836\) | 3.89176 | + | 81.6980i | 0.134599 | + | 2.82559i | ||||
\(837\) | 5.30183 | + | 0.506263i | 0.183258 | + | 0.0174990i | ||||
\(838\) | −12.4299 | − | 11.8519i | −0.429385 | − | 0.409417i | ||||
\(839\) | 29.4938 | − | 34.0376i | 1.01824 | − | 1.17511i | 0.0337904 | − | 0.999429i | \(-0.489242\pi\) |
0.984447 | − | 0.175680i | \(-0.0562124\pi\) | |||||||
\(840\) | −4.28409 | − | 1.43303i | −0.147815 | − | 0.0494443i | ||||
\(841\) | 23.3014 | − | 6.84192i | 0.803498 | − | 0.235928i | ||||
\(842\) | 0.103490 | − | 0.145332i | 0.00356651 | − | 0.00500847i | ||||
\(843\) | 0.868934 | + | 18.2412i | 0.0299277 | + | 0.628259i | ||||
\(844\) | 15.3446 | − | 14.6310i | 0.528182 | − | 0.503621i | ||||
\(845\) | 25.4903 | − | 20.0458i | 0.876894 | − | 0.689597i | ||||
\(846\) | −2.07995 | + | 4.55445i | −0.0715100 | + | 0.156585i | ||||
\(847\) | −26.6142 | − | 27.3373i | −0.914476 | − | 0.939321i | ||||
\(848\) | −14.8853 | − | 9.56618i | −0.511162 | − | 0.328504i | ||||
\(849\) | 2.21218 | − | 6.39167i | 0.0759217 | − | 0.219361i | ||||
\(850\) | 5.14269 | − | 8.90739i | 0.176393 | − | 0.305521i | ||||
\(851\) | −1.40119 | + | 20.5728i | −0.0480323 | + | 0.705226i | ||||
\(852\) | 19.1547 | + | 33.1769i | 0.656229 | + | 1.13662i | ||||
\(853\) | −11.6868 | − | 13.4873i | −0.400148 | − | 0.461796i | 0.519539 | − | 0.854447i | \(-0.326104\pi\) |
−0.919688 | + | 0.392651i | \(0.871558\pi\) | |||||||
\(854\) | 4.83991 | + | 4.10648i | 0.165618 | + | 0.140521i | ||||
\(855\) | −1.41421 | + | 9.83605i | −0.0483650 | + | 0.336386i | ||||
\(856\) | −8.41344 | + | 0.803386i | −0.287565 | + | 0.0274592i | ||||
\(857\) | −5.68970 | − | 2.27781i | −0.194356 | − | 0.0778086i | 0.272442 | − | 0.962172i | \(-0.412169\pi\) |
−0.466799 | + | 0.884364i | \(0.654593\pi\) | |||||||
\(858\) | 45.2403 | − | 43.1365i | 1.54448 | − | 1.47266i | ||||
\(859\) | 11.4898 | + | 5.92338i | 0.392026 | + | 0.202103i | 0.642958 | − | 0.765901i | \(-0.277707\pi\) |
−0.250933 | + | 0.968005i | \(0.580737\pi\) | |||||||
\(860\) | 8.86989 | + | 19.4223i | 0.302461 | + | 0.662296i | ||||
\(861\) | 3.23730 | − | 0.499864i | 0.110327 | − | 0.0170353i | ||||
\(862\) | 2.46686 | − | 2.84691i | 0.0840217 | − | 0.0969662i | ||||
\(863\) | 8.70462 | + | 1.67768i | 0.296309 | + | 0.0571088i | 0.335239 | − | 0.942133i | \(-0.391183\pi\) |
−0.0389304 | + | 0.999242i | \(0.512395\pi\) | |||||||
\(864\) | −1.86932 | + | 7.70546i | −0.0635957 | + | 0.262145i | ||||
\(865\) | 11.7703 | + | 1.12393i | 0.400202 | + | 0.0382146i | ||||
\(866\) | −40.4782 | − | 20.8679i | −1.37550 | − | 0.709122i | ||||
\(867\) | 13.0319 | + | 3.82650i | 0.442586 | + | 0.129955i | ||||
\(868\) | −30.9377 | − | 17.4355i | −1.05009 | − | 0.591800i | ||||
\(869\) | 27.4312 | − | 60.0660i | 0.930541 | − | 2.03760i | ||||
\(870\) | 6.61637 | − | 2.64879i | 0.224316 | − | 0.0898025i | ||||
\(871\) | −17.4314 | + | 8.98651i | −0.590640 | + | 0.304496i | ||||
\(872\) | 12.7298 | − | 2.45346i | 0.431084 | − | 0.0830847i | ||||
\(873\) | 2.95966 | + | 5.12628i | 0.100169 | + | 0.173498i | ||||
\(874\) | 36.9719 | + | 54.2283i | 1.25059 | + | 1.83430i | ||||
\(875\) | −11.8622 | − | 28.7600i | −0.401016 | − | 0.972267i | ||||
\(876\) | 20.1837 | + | 23.2932i | 0.681945 | + | 0.787006i | ||||
\(877\) | 1.87869 | − | 39.4386i | 0.0634389 | − | 1.33175i | −0.712827 | − | 0.701340i | \(-0.752586\pi\) |
0.776266 | − | 0.630406i | \(-0.217111\pi\) | |||||||
\(878\) | 25.9392 | + | 20.3988i | 0.875407 | + | 0.688428i | ||||
\(879\) | 4.10884 | + | 5.77006i | 0.138588 | + | 0.194619i | ||||
\(880\) | 16.4520 | − | 12.9380i | 0.554596 | − | 0.436139i | ||||
\(881\) | −9.93991 | − | 2.91862i | −0.334884 | − | 0.0983308i | 0.109967 | − | 0.993935i | \(-0.464925\pi\) |
−0.444851 | + | 0.895604i | \(0.646744\pi\) | |||||||
\(882\) | −10.9822 | − | 10.0439i | −0.369791 | − | 0.338197i | ||||
\(883\) | −15.4797 | − | 33.8957i | −0.520932 | − | 1.14068i | −0.969085 | − | 0.246725i | \(-0.920645\pi\) |
0.448153 | − | 0.893957i | \(-0.352082\pi\) | |||||||
\(884\) | −19.6641 | − | 18.7497i | −0.661375 | − | 0.630619i | ||||
\(885\) | 0.155643 | + | 0.449700i | 0.00523188 | + | 0.0151165i | ||||
\(886\) | −3.54297 | − | 10.2367i | −0.119028 | − | 0.343910i | ||||
\(887\) | 26.7795 | + | 25.5342i | 0.899167 | + | 0.857354i | 0.990365 | − | 0.138479i | \(-0.0442213\pi\) |
−0.0911986 | + | 0.995833i | \(0.529070\pi\) | |||||||
\(888\) | 1.97547 | + | 4.32567i | 0.0662923 | + | 0.145160i | ||||
\(889\) | 32.1786 | + | 22.4137i | 1.07923 | + | 0.751730i | ||||
\(890\) | −45.7830 | − | 13.4431i | −1.53465 | − | 0.450614i | ||||
\(891\) | 3.96318 | − | 3.11668i | 0.132771 | − | 0.104413i | ||||
\(892\) | −41.4218 | − | 58.1688i | −1.38691 | − | 1.94764i | ||||
\(893\) | −11.9157 | − | 9.37060i | −0.398743 | − | 0.313575i | ||||
\(894\) | 0.771212 | − | 16.1897i | 0.0257932 | − | 0.541465i | ||||
\(895\) | 16.7458 | + | 19.3257i | 0.559750 | + | 0.645986i | ||||
\(896\) | 13.7957 | − | 17.9231i | 0.460881 | − | 0.598768i | ||||
\(897\) | 7.14651 | − | 27.0381i | 0.238615 | − | 0.902775i | ||||
\(898\) | 4.37373 | + | 7.57552i | 0.145953 | + | 0.252798i | ||||
\(899\) | 11.3556 | − | 2.18861i | 0.378730 | − | 0.0729943i | ||||
\(900\) | 5.86158 | − | 3.02186i | 0.195386 | − | 0.100729i | ||||
\(901\) | 11.2939 | − | 4.52142i | 0.376256 | − | 0.150630i | ||||
\(902\) | 5.51319 | − | 12.0722i | 0.183569 | − | 0.401960i | ||||
\(903\) | 0.150978 | + | 14.5191i | 0.00502423 | + | 0.483164i | ||||
\(904\) | −22.1921 | − | 6.51620i | −0.738099 | − | 0.216726i | ||||
\(905\) | −10.1030 | − | 5.20844i | −0.335834 | − | 0.173135i | ||||
\(906\) | −17.0288 | − | 1.62606i | −0.565745 | − | 0.0540221i | ||||
\(907\) | 9.64069 | − | 39.7395i | 0.320114 | − | 1.31953i | −0.553476 | − | 0.832865i | \(-0.686699\pi\) |
0.873590 | − | 0.486662i | \(-0.161786\pi\) | |||||||
\(908\) | −17.8234 | − | 3.43517i | −0.591489 | − | 0.114000i | ||||
\(909\) | 6.54027 | − | 7.54788i | 0.216927 | − | 0.250347i | ||||
\(910\) | −50.0466 | + | 7.72758i | −1.65903 | + | 0.256167i | ||||
\(911\) | 21.5927 | + | 47.2814i | 0.715397 | + | 1.56650i | 0.820245 | + | 0.572013i | \(0.193837\pi\) |
−0.104848 | + | 0.994488i | \(0.533435\pi\) | |||||||
\(912\) | −15.3846 | − | 7.93129i | −0.509434 | − | 0.262631i | ||||
\(913\) | 21.3380 | − | 20.3458i | 0.706186 | − | 0.673347i | ||||
\(914\) | −46.0257 | − | 18.4259i | −1.52239 | − | 0.609475i | ||||
\(915\) | 1.73411 | − | 0.165587i | 0.0573278 | − | 0.00547414i | ||||
\(916\) | −3.44667 | + | 23.9721i | −0.113881 | + | 0.792061i | ||||
\(917\) | −15.6635 | + | 5.60424i | −0.517255 | + | 0.185068i | ||||
\(918\) | −2.57402 | − | 2.97057i | −0.0849552 | − | 0.0980435i | ||||
\(919\) | −29.5468 | − | 51.1765i | −0.974658 | − | 1.68816i | −0.681060 | − | 0.732228i | \(-0.738481\pi\) |
−0.293598 | − | 0.955929i | \(-0.594853\pi\) | |||||||
\(920\) | −2.83552 | + | 7.68189i | −0.0934843 | + | 0.253264i | ||||
\(921\) | −4.15283 | + | 7.19291i | −0.136840 | + | 0.237014i | ||||
\(922\) | 23.1251 | − | 66.8157i | 0.761586 | − | 2.20046i | ||||
\(923\) | 74.5713 | + | 47.9241i | 2.45454 | + | 1.57744i | ||||
\(924\) | −32.5865 | + | 8.26511i | −1.07202 | + | 0.271902i | ||||
\(925\) | −4.67384 | + | 10.2343i | −0.153675 | + | 0.336501i | ||||
\(926\) | −33.1714 | + | 26.0862i | −1.09008 | + | 0.857247i | ||||
\(927\) | 13.0908 | − | 12.4820i | 0.429957 | − | 0.409963i | ||||
\(928\) | 0.819203 | + | 17.1972i | 0.0268917 | + | 0.564525i | ||||
\(929\) | 8.49938 | − | 11.9357i | 0.278856 | − | 0.391598i | −0.651266 | − | 0.758850i | \(-0.725762\pi\) |
0.930122 | + | 0.367251i | \(0.119701\pi\) | |||||||
\(930\) | −16.7728 | + | 4.92493i | −0.550001 | + | 0.161495i | ||||
\(931\) | 37.3907 | − | 25.1433i | 1.22543 | − | 0.824039i | ||||
\(932\) | −33.9032 | + | 39.1263i | −1.11054 | + | 1.28163i | ||||
\(933\) | 19.7365 | + | 18.8188i | 0.646145 | + | 0.616098i | ||||
\(934\) | 56.2742 | + | 5.37353i | 1.84135 | + | 0.175827i | ||||
\(935\) | 0.684706 | + | 14.3737i | 0.0223923 | + | 0.470072i | ||||
\(936\) | −1.52054 | − | 6.26774i | −0.0497003 | − | 0.204867i | ||||
\(937\) | −3.89897 | − | 27.1180i | −0.127374 | − | 0.885905i | −0.948865 | − | 0.315683i | \(-0.897766\pi\) |
0.821491 | − | 0.570222i | \(-0.193143\pi\) | |||||||
\(938\) | 18.9044 | + | 0.703599i | 0.617250 | + | 0.0229733i | ||||
\(939\) | 1.16947 | − | 8.13388i | 0.0381644 | − | 0.265439i | ||||
\(940\) | 0.435969 | − | 9.15212i | 0.0142197 | − | 0.298509i | ||||
\(941\) | −21.6973 | + | 4.18181i | −0.707312 | + | 0.136323i | −0.530206 | − | 0.847869i | \(-0.677886\pi\) |
−0.177106 | + | 0.984192i | \(0.556673\pi\) | |||||||
\(942\) | −0.849889 | + | 1.47205i | −0.0276909 | + | 0.0479620i | ||||
\(943\) | −0.724927 | − | 5.89322i | −0.0236069 | − | 0.191910i | ||||
\(944\) | −0.828879 | −0.0269777 | ||||||||
\(945\) | −4.07761 | + | 0.236759i | −0.132645 | + | 0.00770177i | ||||
\(946\) | 49.4892 | + | 31.8048i | 1.60903 | + | 1.03406i | ||||
\(947\) | 14.4733 | − | 5.79423i | 0.470319 | − | 0.188287i | −0.124382 | − | 0.992234i | \(-0.539695\pi\) |
0.594701 | + | 0.803947i | \(0.297271\pi\) | |||||||
\(948\) | −19.1460 | − | 26.8868i | −0.621833 | − | 0.873242i | ||||
\(949\) | 66.2082 | + | 26.5058i | 2.14921 | + | 0.860414i | ||||
\(950\) | 8.44270 | + | 34.8013i | 0.273917 | + | 1.12910i | ||||
\(951\) | 7.36209 | − | 4.73133i | 0.238732 | − | 0.153424i | ||||
\(952\) | 1.57802 | + | 5.17459i | 0.0511440 | + | 0.167709i | ||||
\(953\) | 5.72922 | − | 1.68225i | 0.185588 | − | 0.0544935i | −0.187618 | − | 0.982242i | \(-0.560077\pi\) |
0.373206 | + | 0.927749i | \(0.378259\pi\) | |||||||
\(954\) | 13.7373 | + | 2.64765i | 0.444762 | + | 0.0857208i | ||||
\(955\) | −3.36958 | − | 9.73575i | −0.109037 | − | 0.315042i | ||||
\(956\) | −4.57232 | + | 18.8474i | −0.147879 | + | 0.609568i | ||||
\(957\) | 6.35032 | − | 8.91777i | 0.205277 | − | 0.288271i | ||||
\(958\) | 11.6127 | − | 7.46301i | 0.375188 | − | 0.241119i | ||||
\(959\) | −20.8913 | − | 9.27941i | −0.674614 | − | 0.299648i | ||||
\(960\) | −2.52212 | − | 17.5417i | −0.0814011 | − | 0.566157i | ||||
\(961\) | 2.62238 | − | 0.250407i | 0.0845929 | − | 0.00807764i | ||||
\(962\) | 41.9025 | + | 32.9525i | 1.35099 | + | 1.06243i | ||||
\(963\) | −6.79223 | + | 3.50164i | −0.218877 | + | 0.112839i | ||||
\(964\) | 2.73637 | − | 7.90622i | 0.0881325 | − | 0.254642i | ||||
\(965\) | 22.2437 | 0.716049 | ||||||||
\(966\) | −18.8106 | + | 19.3368i | −0.605222 | + | 0.622153i | ||||
\(967\) | −31.0456 | −0.998360 | −0.499180 | − | 0.866498i | \(-0.666365\pi\) | ||||
−0.499180 | + | 0.866498i | \(0.666365\pi\) | |||||||
\(968\) | −5.21639 | + | 15.0718i | −0.167661 | + | 0.484425i | ||||
\(969\) | 10.5775 | − | 5.45306i | 0.339797 | − | 0.175177i | ||||
\(970\) | −15.2718 | − | 12.0099i | −0.490347 | − | 0.385613i | ||||
\(971\) | −10.2793 | + | 0.981553i | −0.329878 | + | 0.0314996i | −0.258681 | − | 0.965963i | \(-0.583288\pi\) |
−0.0711969 | + | 0.997462i | \(0.522682\pi\) | |||||||
\(972\) | −0.358663 | − | 2.49455i | −0.0115041 | − | 0.0800128i | ||||
\(973\) | 3.74411 | + | 35.3244i | 0.120031 | + | 1.13245i | ||||
\(974\) | 3.26413 | − | 2.09773i | 0.104589 | − | 0.0672155i | ||||
\(975\) | 8.85123 | − | 12.4298i | 0.283466 | − | 0.398073i | ||||
\(976\) | −0.715344 | + | 2.94869i | −0.0228976 | + | 0.0943852i | ||||
\(977\) | −4.19893 | − | 12.1320i | −0.134336 | − | 0.388137i | 0.857691 | − | 0.514165i | \(-0.171898\pi\) |
−0.992027 | + | 0.126028i | \(0.959777\pi\) | |||||||
\(978\) | −43.9500 | − | 8.47067i | −1.40537 | − | 0.270862i | ||||
\(979\) | −70.3282 | + | 20.6502i | −2.24770 | + | 0.659984i | ||||
\(980\) | 25.4888 | + | 9.59412i | 0.814209 | + | 0.306473i | ||||
\(981\) | 9.86085 | − | 6.33718i | 0.314833 | − | 0.202331i | ||||
\(982\) | −6.73260 | − | 27.7521i | −0.214846 | − | 0.885606i | ||||
\(983\) | 31.6682 | + | 12.6780i | 1.01006 | + | 0.404366i | 0.816887 | − | 0.576798i | \(-0.195698\pi\) |
0.193172 | + | 0.981165i | \(0.438122\pi\) | |||||||
\(984\) | −0.794280 | − | 1.11541i | −0.0253207 | − | 0.0355580i | ||||
\(985\) | 16.3431 | − | 6.54279i | 0.520735 | − | 0.208471i | ||||
\(986\) | −7.17996 | − | 4.61428i | −0.228657 | − | 0.146949i | ||||
\(987\) | 2.79735 | − | 5.56749i | 0.0890407 | − | 0.177215i | ||||
\(988\) | 94.5993 | 3.00960 | ||||||||
\(989\) | 26.3140 | + | 0.536992i | 0.836735 | + | 0.0170753i | ||||
\(990\) | −8.27424 | + | 14.3314i | −0.262973 | + | 0.455482i | ||||
\(991\) | −29.9908 | + | 5.78026i | −0.952690 | + | 0.183616i | −0.641836 | − | 0.766842i | \(-0.721827\pi\) |
−0.310854 | + | 0.950458i | \(0.600615\pi\) | |||||||
\(992\) | 2.00935 | − | 42.1814i | 0.0637969 | − | 1.33926i | ||||
\(993\) | 2.66659 | − | 18.5465i | 0.0846217 | − | 0.588557i | ||||
\(994\) | −39.9693 | − | 75.5894i | −1.26775 | − | 2.39755i | ||||
\(995\) | 1.81118 | + | 12.5970i | 0.0574183 | + | 0.399353i | ||||
\(996\) | −3.47447 | − | 14.3219i | −0.110093 | − | 0.453808i | ||||
\(997\) | 0.905511 | + | 19.0090i | 0.0286778 | + | 0.602021i | 0.966772 | + | 0.255641i | \(0.0822864\pi\) |
−0.938094 | + | 0.346381i | \(0.887411\pi\) | |||||||
\(998\) | 65.9349 | + | 6.29602i | 2.08713 | + | 0.199297i | ||||
\(999\) | 3.11181 | + | 2.96710i | 0.0984533 | + | 0.0938750i |
(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.b.151.3 | yes | 320 | |
7.2 | even | 3 | inner | 483.2.y.b.289.14 | yes | 320 | |
23.16 | even | 11 | inner | 483.2.y.b.361.14 | yes | 320 | |
161.16 | even | 33 | inner | 483.2.y.b.16.3 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.16.3 | ✓ | 320 | 161.16 | even | 33 | inner | |
483.2.y.b.151.3 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.289.14 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.b.361.14 | yes | 320 | 23.16 | even | 11 | inner |