Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 13.14 | ||
Character | \(\chi\) | \(=\) | 384.13 |
Dual form | 384.2.v.a.325.14 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{15}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.283082 | + | 1.38559i | −0.200169 | + | 0.979761i | ||||
\(3\) | 0.290285 | + | 0.956940i | 0.167596 | + | 0.552490i | ||||
\(4\) | −1.83973 | − | 0.784471i | −0.919865 | − | 0.392236i | ||||
\(5\) | −0.166665 | − | 1.69218i | −0.0745350 | − | 0.756767i | −0.957712 | − | 0.287727i | \(-0.907100\pi\) |
0.883177 | − | 0.469039i | \(-0.155400\pi\) | |||||||
\(6\) | −1.40810 | + | 0.131324i | −0.574856 | + | 0.0536127i | ||||
\(7\) | 1.76235 | − | 2.63755i | 0.666106 | − | 0.996899i | −0.332447 | − | 0.943122i | \(-0.607874\pi\) |
0.998553 | − | 0.0537767i | \(-0.0171259\pi\) | |||||||
\(8\) | 1.60775 | − | 2.32704i | 0.568426 | − | 0.822735i | ||||
\(9\) | −0.831470 | + | 0.555570i | −0.277157 | + | 0.185190i | ||||
\(10\) | 2.39185 | + | 0.248095i | 0.756370 | + | 0.0784547i | ||||
\(11\) | 0.658421 | − | 0.351933i | 0.198521 | − | 0.106112i | −0.369141 | − | 0.929373i | \(-0.620348\pi\) |
0.567662 | + | 0.823262i | \(0.307848\pi\) | |||||||
\(12\) | 0.216647 | − | 1.98823i | 0.0625406 | − | 0.573953i | ||||
\(13\) | 5.74062 | + | 0.565402i | 1.59216 | + | 0.156814i | 0.854900 | − | 0.518793i | \(-0.173619\pi\) |
0.737262 | + | 0.675607i | \(0.236119\pi\) | |||||||
\(14\) | 3.15567 | + | 3.18854i | 0.843389 | + | 0.852174i | ||||
\(15\) | 1.57094 | − | 0.650703i | 0.405614 | − | 0.168011i | ||||
\(16\) | 2.76921 | + | 2.88643i | 0.692302 | + | 0.721607i | ||||
\(17\) | −1.29313 | − | 0.535633i | −0.313630 | − | 0.129910i | 0.220315 | − | 0.975429i | \(-0.429291\pi\) |
−0.533946 | + | 0.845519i | \(0.679291\pi\) | |||||||
\(18\) | −0.534420 | − | 1.30935i | −0.125964 | − | 0.308617i | ||||
\(19\) | −1.14115 | + | 0.936520i | −0.261799 | + | 0.214853i | −0.756131 | − | 0.654421i | \(-0.772913\pi\) |
0.494332 | + | 0.869273i | \(0.335413\pi\) | |||||||
\(20\) | −1.02085 | + | 3.24390i | −0.228269 | + | 0.725358i | ||||
\(21\) | 3.03556 | + | 0.920827i | 0.662413 | + | 0.200941i | ||||
\(22\) | 0.301249 | + | 1.01193i | 0.0642265 | + | 0.215744i | ||||
\(23\) | 0.925835 | − | 4.65449i | 0.193050 | − | 0.970528i | −0.755800 | − | 0.654802i | \(-0.772752\pi\) |
0.948850 | − | 0.315726i | \(-0.102248\pi\) | |||||||
\(24\) | 2.69355 | + | 0.863016i | 0.549818 | + | 0.176162i | ||||
\(25\) | 2.06822 | − | 0.411395i | 0.413645 | − | 0.0822791i | ||||
\(26\) | −2.40848 | + | 7.79410i | −0.472342 | + | 1.52855i | ||||
\(27\) | −0.773010 | − | 0.634393i | −0.148766 | − | 0.122089i | ||||
\(28\) | −5.31133 | + | 3.46986i | −1.00375 | + | 0.655741i | ||||
\(29\) | −1.32002 | + | 2.46958i | −0.245121 | + | 0.458590i | −0.974153 | − | 0.225890i | \(-0.927471\pi\) |
0.729031 | + | 0.684480i | \(0.239971\pi\) | |||||||
\(30\) | 0.456906 | + | 2.36088i | 0.0834192 | + | 0.431036i | ||||
\(31\) | −4.43521 | + | 4.43521i | −0.796587 | + | 0.796587i | −0.982556 | − | 0.185969i | \(-0.940458\pi\) |
0.185969 | + | 0.982556i | \(0.440458\pi\) | |||||||
\(32\) | −4.78333 | + | 3.01990i | −0.845581 | + | 0.533848i | ||||
\(33\) | 0.527909 | + | 0.527909i | 0.0918971 | + | 0.0918971i | ||||
\(34\) | 1.10823 | − | 1.64012i | 0.190060 | − | 0.281279i | ||||
\(35\) | −4.75693 | − | 2.54263i | −0.804068 | − | 0.429783i | ||||
\(36\) | 1.96551 | − | 0.369835i | 0.327585 | − | 0.0616392i | ||||
\(37\) | 7.07753 | − | 8.62400i | 1.16354 | − | 1.41778i | 0.273513 | − | 0.961868i | \(-0.411814\pi\) |
0.890027 | − | 0.455909i | \(-0.150686\pi\) | |||||||
\(38\) | −0.974595 | − | 1.84628i | −0.158100 | − | 0.299507i | ||||
\(39\) | 1.12536 | + | 5.65756i | 0.180202 | + | 0.905934i | ||||
\(40\) | −4.20574 | − | 2.33277i | −0.664986 | − | 0.368843i | ||||
\(41\) | −2.24024 | − | 0.445611i | −0.349866 | − | 0.0695928i | 0.0170289 | − | 0.999855i | \(-0.494579\pi\) |
−0.366895 | + | 0.930262i | \(0.619579\pi\) | |||||||
\(42\) | −2.13520 | + | 3.94538i | −0.329469 | + | 0.608785i | ||||
\(43\) | 1.80544 | − | 5.95173i | 0.275327 | − | 0.907631i | −0.704825 | − | 0.709381i | \(-0.748974\pi\) |
0.980152 | − | 0.198249i | \(-0.0635256\pi\) | |||||||
\(44\) | −1.48740 | + | 0.130950i | −0.224234 | + | 0.0197414i | ||||
\(45\) | 1.07870 | + | 1.31440i | 0.160804 | + | 0.195940i | ||||
\(46\) | 6.18713 | + | 2.60043i | 0.912243 | + | 0.383412i | ||||
\(47\) | −3.08023 | + | 7.43634i | −0.449298 | + | 1.08470i | 0.523288 | + | 0.852156i | \(0.324705\pi\) |
−0.972586 | + | 0.232545i | \(0.925295\pi\) | |||||||
\(48\) | −1.95828 | + | 3.48785i | −0.282654 | + | 0.503428i | ||||
\(49\) | −1.17198 | − | 2.82941i | −0.167426 | − | 0.404202i | ||||
\(50\) | −0.0154502 | + | 2.98217i | −0.00218499 | + | 0.421743i | ||||
\(51\) | 0.137192 | − | 1.39294i | 0.0192107 | − | 0.195050i | ||||
\(52\) | −10.1176 | − | 5.54354i | −1.40307 | − | 0.768750i | ||||
\(53\) | 4.90739 | + | 9.18107i | 0.674081 | + | 1.26112i | 0.953629 | + | 0.300985i | \(0.0973155\pi\) |
−0.279548 | + | 0.960132i | \(0.590184\pi\) | |||||||
\(54\) | 1.09784 | − | 0.891492i | 0.149396 | − | 0.121317i | ||||
\(55\) | −0.705271 | − | 1.05551i | −0.0950987 | − | 0.142325i | ||||
\(56\) | −3.30427 | − | 8.34159i | −0.441551 | − | 1.11469i | ||||
\(57\) | −1.22745 | − | 0.820158i | −0.162580 | − | 0.108633i | ||||
\(58\) | −3.04816 | − | 2.52810i | −0.400243 | − | 0.331956i | ||||
\(59\) | −2.27056 | + | 0.223631i | −0.295602 | + | 0.0291142i | −0.244731 | − | 0.969591i | \(-0.578700\pi\) |
−0.0508707 | + | 0.998705i | \(0.516200\pi\) | |||||||
\(60\) | −3.40056 | − | 0.0352365i | −0.439010 | − | 0.00454901i | ||||
\(61\) | 9.80077 | − | 2.97303i | 1.25486 | − | 0.380658i | 0.408249 | − | 0.912870i | \(-0.366139\pi\) |
0.846611 | + | 0.532213i | \(0.178639\pi\) | |||||||
\(62\) | −4.88986 | − | 7.40091i | −0.621013 | − | 0.939917i | ||||
\(63\) | 3.17215i | 0.399653i | ||||||||
\(64\) | −2.83028 | − | 7.48262i | −0.353785 | − | 0.935327i | ||||
\(65\) | − | 9.80840i | − | 1.21658i | ||||||
\(66\) | −0.880907 | + | 0.582025i | −0.108432 | + | 0.0716423i | ||||
\(67\) | −5.79154 | + | 1.75684i | −0.707549 | + | 0.214633i | −0.623493 | − | 0.781829i | \(-0.714287\pi\) |
−0.0840552 | + | 0.996461i | \(0.526787\pi\) | |||||||
\(68\) | 1.95882 | + | 1.99984i | 0.237542 | + | 0.242517i | ||||
\(69\) | 4.72282 | − | 0.465157i | 0.568561 | − | 0.0559984i | ||||
\(70\) | 4.86965 | − | 5.87139i | 0.582035 | − | 0.701766i | ||||
\(71\) | −7.56079 | − | 5.05196i | −0.897300 | − | 0.599557i | 0.0191011 | − | 0.999818i | \(-0.493920\pi\) |
−0.916401 | + | 0.400261i | \(0.868920\pi\) | |||||||
\(72\) | −0.0439588 | + | 2.82809i | −0.00518060 | + | 0.333293i | ||||
\(73\) | −1.08352 | − | 1.62161i | −0.126817 | − | 0.189795i | 0.762628 | − | 0.646837i | \(-0.223909\pi\) |
−0.889445 | + | 0.457042i | \(0.848909\pi\) | |||||||
\(74\) | 9.94582 | + | 12.2479i | 1.15618 | + | 1.42379i | ||||
\(75\) | 0.994055 | + | 1.85975i | 0.114784 | + | 0.214745i | ||||
\(76\) | 2.83409 | − | 0.827742i | 0.325092 | − | 0.0949485i | ||||
\(77\) | 0.232129 | − | 2.35685i | 0.0264536 | − | 0.268588i | ||||
\(78\) | −8.15763 | − | 0.0422635i | −0.923670 | − | 0.00478540i | ||||
\(79\) | 3.37251 | + | 8.14197i | 0.379438 | + | 0.916043i | 0.992071 | + | 0.125676i | \(0.0401101\pi\) |
−0.612634 | + | 0.790367i | \(0.709890\pi\) | |||||||
\(80\) | 4.42283 | − | 5.16707i | 0.494488 | − | 0.577696i | ||||
\(81\) | 0.382683 | − | 0.923880i | 0.0425204 | − | 0.102653i | ||||
\(82\) | 1.25161 | − | 2.97791i | 0.138217 | − | 0.328855i | ||||
\(83\) | 10.5661 | + | 12.8749i | 1.15978 | + | 1.41320i | 0.893358 | + | 0.449346i | \(0.148343\pi\) |
0.266426 | + | 0.963855i | \(0.414157\pi\) | |||||||
\(84\) | −4.86224 | − | 4.07538i | −0.530514 | − | 0.444660i | ||||
\(85\) | −0.690867 | + | 2.27748i | −0.0749351 | + | 0.247028i | ||||
\(86\) | 7.73558 | + | 4.18643i | 0.834150 | + | 0.451434i | ||||
\(87\) | −2.74642 | − | 0.546298i | −0.294448 | − | 0.0585693i | ||||
\(88\) | 0.239612 | − | 2.09800i | 0.0255427 | − | 0.223647i | ||||
\(89\) | −2.08960 | − | 10.5051i | −0.221497 | − | 1.11354i | −0.918181 | − | 0.396162i | \(-0.870342\pi\) |
0.696684 | − | 0.717378i | \(-0.254658\pi\) | |||||||
\(90\) | −2.12659 | + | 1.12256i | −0.224162 | + | 0.118328i | ||||
\(91\) | 11.6083 | − | 14.1447i | 1.21688 | − | 1.48277i | ||||
\(92\) | −5.35460 | + | 7.83671i | −0.558255 | + | 0.817033i | ||||
\(93\) | −5.53170 | − | 2.95676i | −0.573611 | − | 0.306601i | ||||
\(94\) | −9.43177 | − | 6.37303i | −0.972813 | − | 0.657328i | ||||
\(95\) | 1.77495 | + | 1.77495i | 0.182106 | + | 0.182106i | ||||
\(96\) | −4.27839 | − | 3.70073i | −0.436661 | − | 0.377704i | ||||
\(97\) | 2.14657 | − | 2.14657i | 0.217951 | − | 0.217951i | −0.589683 | − | 0.807634i | \(-0.700748\pi\) |
0.807634 | + | 0.589683i | \(0.200748\pi\) | |||||||
\(98\) | 4.25218 | − | 0.822933i | 0.429535 | − | 0.0831288i | ||||
\(99\) | −0.351933 | + | 0.658421i | −0.0353706 | + | 0.0661738i | ||||
\(100\) | −4.12770 | − | 0.865606i | −0.412770 | − | 0.0865606i | ||||
\(101\) | −7.62715 | − | 6.25944i | −0.758930 | − | 0.622838i | 0.173231 | − | 0.984881i | \(-0.444579\pi\) |
−0.932161 | + | 0.362043i | \(0.882079\pi\) | |||||||
\(102\) | 1.89120 | + | 0.584407i | 0.187257 | + | 0.0578649i | ||||
\(103\) | −6.71089 | + | 1.33488i | −0.661244 | + | 0.131530i | −0.514293 | − | 0.857614i | \(-0.671946\pi\) |
−0.146950 | + | 0.989144i | \(0.546946\pi\) | |||||||
\(104\) | 10.5452 | − | 12.4497i | 1.03404 | − | 1.22079i | ||||
\(105\) | 1.05228 | − | 5.29019i | 0.102692 | − | 0.516269i | ||||
\(106\) | −14.1104 | + | 4.20064i | −1.37052 | + | 0.408002i | ||||
\(107\) | −14.1197 | − | 4.28317i | −1.36500 | − | 0.414070i | −0.479028 | − | 0.877800i | \(-0.659011\pi\) |
−0.885977 | + | 0.463730i | \(0.846511\pi\) | |||||||
\(108\) | 0.924467 | + | 1.77352i | 0.0889569 | + | 0.170657i | ||||
\(109\) | −6.21427 | + | 5.09992i | −0.595219 | + | 0.488483i | −0.883101 | − | 0.469182i | \(-0.844549\pi\) |
0.287883 | + | 0.957666i | \(0.407049\pi\) | |||||||
\(110\) | 1.66216 | − | 0.678422i | 0.158481 | − | 0.0646850i | ||||
\(111\) | 10.3072 | + | 4.26936i | 0.978312 | + | 0.405230i | ||||
\(112\) | 12.4934 | − | 2.21701i | 1.18052 | − | 0.209488i | ||||
\(113\) | −3.03201 | + | 1.25590i | −0.285228 | + | 0.118145i | −0.520711 | − | 0.853733i | \(-0.674333\pi\) |
0.235483 | + | 0.971879i | \(0.424333\pi\) | |||||||
\(114\) | 1.48387 | − | 1.46858i | 0.138978 | − | 0.137545i | ||||
\(115\) | −8.03054 | − | 0.790940i | −0.748852 | − | 0.0737555i | ||||
\(116\) | 4.36580 | − | 3.50785i | 0.405354 | − | 0.325695i | ||||
\(117\) | −5.08727 | + | 2.71920i | −0.470318 | + | 0.251390i | ||||
\(118\) | 0.332893 | − | 3.20937i | 0.0306453 | − | 0.295447i | ||||
\(119\) | −3.69171 | + | 2.46672i | −0.338418 | + | 0.226124i | ||||
\(120\) | 1.01146 | − | 4.70181i | 0.0923331 | − | 0.429214i | ||||
\(121\) | −5.80161 | + | 8.68273i | −0.527419 | + | 0.789339i | ||||
\(122\) | 1.34499 | + | 14.4215i | 0.121770 | + | 1.30566i | ||||
\(123\) | −0.223884 | − | 2.27313i | −0.0201869 | − | 0.204961i | ||||
\(124\) | 11.6389 | − | 4.68029i | 1.04520 | − | 0.420302i | ||||
\(125\) | −3.50881 | − | 11.5670i | −0.313838 | − | 1.03458i | ||||
\(126\) | −4.39531 | − | 0.897977i | −0.391565 | − | 0.0799982i | ||||
\(127\) | −20.0664 | −1.78061 | −0.890304 | − | 0.455368i | \(-0.849508\pi\) | ||||
−0.890304 | + | 0.455368i | \(0.849508\pi\) | |||||||
\(128\) | 11.1691 | − | 1.80342i | 0.987214 | − | 0.159401i | ||||
\(129\) | 6.21954 | 0.547600 | ||||||||
\(130\) | 13.5904 | + | 2.77658i | 1.19196 | + | 0.243522i | ||||
\(131\) | 0.0713865 | + | 0.235330i | 0.00623707 | + | 0.0205608i | 0.960004 | − | 0.279988i | \(-0.0903303\pi\) |
−0.953767 | + | 0.300548i | \(0.902830\pi\) | |||||||
\(132\) | −0.557080 | − | 1.38534i | −0.0484876 | − | 0.120578i | ||||
\(133\) | 0.459002 | + | 4.66032i | 0.0398005 | + | 0.404101i | ||||
\(134\) | −0.794790 | − | 8.52203i | −0.0686594 | − | 0.736192i | ||||
\(135\) | −0.944675 | + | 1.41381i | −0.0813047 | + | 0.121681i | ||||
\(136\) | −3.32547 | + | 2.14801i | −0.285157 | + | 0.184190i | ||||
\(137\) | −10.0744 | + | 6.73150i | −0.860715 | + | 0.575111i | −0.905720 | − | 0.423876i | \(-0.860669\pi\) |
0.0450059 | + | 0.998987i | \(0.485669\pi\) | |||||||
\(138\) | −0.692426 | + | 6.67558i | −0.0589432 | + | 0.568263i | ||||
\(139\) | 2.52406 | − | 1.34914i | 0.214088 | − | 0.114432i | −0.360868 | − | 0.932617i | \(-0.617519\pi\) |
0.574956 | + | 0.818185i | \(0.305019\pi\) | |||||||
\(140\) | 6.75684 | + | 8.40943i | 0.571058 | + | 0.710727i | ||||
\(141\) | −8.01028 | − | 0.788943i | −0.674587 | − | 0.0664410i | ||||
\(142\) | 9.14027 | − | 9.04605i | 0.767034 | − | 0.759127i | ||||
\(143\) | 3.97873 | − | 1.64804i | 0.332718 | − | 0.137816i | ||||
\(144\) | −3.90613 | − | 0.861488i | −0.325511 | − | 0.0717907i | ||||
\(145\) | 4.39898 | + | 1.82212i | 0.365316 | + | 0.151319i | ||||
\(146\) | 2.55362 | − | 1.04228i | 0.211339 | − | 0.0862593i | ||||
\(147\) | 2.36737 | − | 1.94285i | 0.195258 | − | 0.160244i | ||||
\(148\) | −19.7860 | + | 10.3137i | −1.62640 | + | 0.847781i | ||||
\(149\) | 19.9918 | + | 6.06444i | 1.63779 | + | 0.496818i | 0.969088 | − | 0.246713i | \(-0.0793506\pi\) |
0.668701 | + | 0.743531i | \(0.266851\pi\) | |||||||
\(150\) | −2.85825 | + | 0.850894i | −0.233375 | + | 0.0694752i | ||||
\(151\) | −2.19670 | + | 11.0436i | −0.178765 | + | 0.898711i | 0.782408 | + | 0.622766i | \(0.213991\pi\) |
−0.961173 | + | 0.275946i | \(0.911009\pi\) | |||||||
\(152\) | 0.344635 | + | 4.16121i | 0.0279536 | + | 0.337518i | ||||
\(153\) | 1.37278 | − | 0.273063i | 0.110983 | − | 0.0220758i | ||||
\(154\) | 3.19991 | + | 0.988816i | 0.257856 | + | 0.0796811i | ||||
\(155\) | 8.24437 | + | 6.76598i | 0.662204 | + | 0.543457i | ||||
\(156\) | 2.36784 | − | 11.2912i | 0.189579 | − | 0.904018i | ||||
\(157\) | −6.45812 | + | 12.0823i | −0.515414 | + | 0.964273i | 0.480757 | + | 0.876854i | \(0.340362\pi\) |
−0.996172 | + | 0.0874188i | \(0.972138\pi\) | |||||||
\(158\) | −12.2361 | + | 2.36809i | −0.973455 | + | 0.188395i | ||||
\(159\) | −7.36120 | + | 7.36120i | −0.583781 | + | 0.583781i | ||||
\(160\) | 5.90743 | + | 7.59094i | 0.467024 | + | 0.600117i | ||||
\(161\) | −10.6448 | − | 10.6448i | −0.838926 | − | 0.838926i | ||||
\(162\) | 1.17179 | + | 0.791776i | 0.0920645 | + | 0.0622078i | ||||
\(163\) | −3.59793 | − | 1.92313i | −0.281812 | − | 0.150631i | 0.324435 | − | 0.945908i | \(-0.394826\pi\) |
−0.606247 | + | 0.795276i | \(0.707326\pi\) | |||||||
\(164\) | 3.77186 | + | 2.57721i | 0.294533 | + | 0.201246i | ||||
\(165\) | 0.805333 | − | 0.981301i | 0.0626951 | − | 0.0763942i | ||||
\(166\) | −20.8304 | + | 10.9957i | −1.61675 | + | 0.853433i | ||||
\(167\) | −0.118302 | − | 0.594747i | −0.00915452 | − | 0.0460229i | 0.975938 | − | 0.218048i | \(-0.0699690\pi\) |
−0.985093 | + | 0.172025i | \(0.944969\pi\) | |||||||
\(168\) | 7.02323 | − | 5.58342i | 0.541854 | − | 0.430770i | ||||
\(169\) | 19.8848 | + | 3.95534i | 1.52960 | + | 0.304257i | ||||
\(170\) | −2.96009 | − | 1.60197i | −0.227029 | − | 0.122866i | ||||
\(171\) | 0.428532 | − | 1.41268i | 0.0327706 | − | 0.108030i | ||||
\(172\) | −7.99048 | + | 9.53326i | −0.609268 | + | 0.726904i | ||||
\(173\) | 4.95999 | + | 6.04377i | 0.377101 | + | 0.459499i | 0.926629 | − | 0.375976i | \(-0.122692\pi\) |
−0.549528 | + | 0.835475i | \(0.685192\pi\) | |||||||
\(174\) | 1.53441 | − | 3.65078i | 0.116323 | − | 0.276765i | ||||
\(175\) | 2.55987 | − | 6.18006i | 0.193508 | − | 0.467169i | ||||
\(176\) | 2.83914 | + | 0.925908i | 0.214008 | + | 0.0697930i | ||||
\(177\) | −0.873110 | − | 2.10787i | −0.0656269 | − | 0.158437i | ||||
\(178\) | 15.1473 | + | 0.0784761i | 1.13534 | + | 0.00588203i | ||||
\(179\) | 0.911071 | − | 9.25026i | 0.0680966 | − | 0.691397i | −0.899164 | − | 0.437612i | \(-0.855824\pi\) |
0.967261 | − | 0.253785i | \(-0.0816756\pi\) | |||||||
\(180\) | −0.953410 | − | 3.26436i | −0.0710630 | − | 0.243311i | ||||
\(181\) | 8.24235 | + | 15.4203i | 0.612649 | + | 1.14619i | 0.976660 | + | 0.214791i | \(0.0689070\pi\) |
−0.364011 | + | 0.931395i | \(0.618593\pi\) | |||||||
\(182\) | 16.3127 | + | 20.0884i | 1.20918 | + | 1.48905i | ||||
\(183\) | 5.69003 | + | 8.51573i | 0.420619 | + | 0.629501i | ||||
\(184\) | −9.34269 | − | 9.63772i | −0.688752 | − | 0.710502i | ||||
\(185\) | −15.7730 | − | 10.5392i | −1.15965 | − | 0.774854i | ||||
\(186\) | 5.66278 | − | 6.82768i | 0.415215 | − | 0.500630i | ||||
\(187\) | −1.03993 | + | 0.102424i | −0.0760473 | + | 0.00749001i | ||||
\(188\) | 11.5004 | − | 11.2645i | 0.838752 | − | 0.821548i | ||||
\(189\) | −3.03556 | + | 0.920827i | −0.220804 | + | 0.0669803i | ||||
\(190\) | −2.96182 | + | 1.95690i | −0.214873 | + | 0.141969i | ||||
\(191\) | 6.86774i | 0.496932i | 0.968641 | + | 0.248466i | \(0.0799264\pi\) | ||||
−0.968641 | + | 0.248466i | \(0.920074\pi\) | |||||||
\(192\) | 6.33883 | − | 4.88049i | 0.457466 | − | 0.352219i | ||||
\(193\) | 12.2028i | 0.878379i | 0.898394 | + | 0.439190i | \(0.144734\pi\) | ||||
−0.898394 | + | 0.439190i | \(0.855266\pi\) | |||||||
\(194\) | 2.36661 | + | 3.58192i | 0.169913 | + | 0.257167i | ||||
\(195\) | 9.38606 | − | 2.84723i | 0.672150 | − | 0.203894i | ||||
\(196\) | −0.0634645 | + | 6.12474i | −0.00453318 | + | 0.437482i | ||||
\(197\) | 25.6827 | − | 2.52953i | 1.82982 | − | 0.180221i | 0.876342 | − | 0.481690i | \(-0.159977\pi\) |
0.953476 | + | 0.301469i | \(0.0974770\pi\) | |||||||
\(198\) | −0.812677 | − | 0.674023i | −0.0577544 | − | 0.0479007i | ||||
\(199\) | −15.6230 | − | 10.4389i | −1.10748 | − | 0.739997i | −0.139303 | − | 0.990250i | \(-0.544486\pi\) |
−0.968181 | + | 0.250253i | \(0.919486\pi\) | |||||||
\(200\) | 2.36785 | − | 5.47427i | 0.167433 | − | 0.387090i | ||||
\(201\) | −3.36239 | − | 5.03217i | −0.237165 | − | 0.354942i | ||||
\(202\) | 10.8321 | − | 8.79619i | 0.762147 | − | 0.618897i | ||||
\(203\) | 4.18730 | + | 7.83389i | 0.293891 | + | 0.549831i | ||||
\(204\) | −1.34511 | + | 2.45500i | −0.0941768 | + | 0.171884i | ||||
\(205\) | −0.380685 | + | 3.86516i | −0.0265882 | + | 0.269954i | ||||
\(206\) | 0.0501322 | − | 9.67644i | 0.00349288 | − | 0.674189i | ||||
\(207\) | 1.81609 | + | 4.38443i | 0.126227 | + | 0.304739i | ||||
\(208\) | 14.2650 | + | 18.1356i | 0.989099 | + | 1.25748i | ||||
\(209\) | −0.421766 | + | 1.01823i | −0.0291742 | + | 0.0704327i | ||||
\(210\) | 7.03216 | + | 2.95559i | 0.485265 | + | 0.203955i | ||||
\(211\) | −4.25891 | − | 5.18949i | −0.293195 | − | 0.357260i | 0.605490 | − | 0.795853i | \(-0.292977\pi\) |
−0.898686 | + | 0.438593i | \(0.855477\pi\) | |||||||
\(212\) | −1.82598 | − | 20.7404i | −0.125408 | − | 1.42446i | ||||
\(213\) | 2.63964 | − | 8.70173i | 0.180865 | − | 0.596232i | ||||
\(214\) | 9.93176 | − | 18.3517i | 0.678921 | − | 1.25449i | ||||
\(215\) | −10.3723 | − | 2.06318i | −0.707386 | − | 0.140708i | ||||
\(216\) | −2.71907 | + | 0.778884i | −0.185009 | + | 0.0529963i | ||||
\(217\) | 3.88167 | + | 19.5145i | 0.263505 | + | 1.32473i | ||||
\(218\) | −5.30726 | − | 10.0541i | −0.359453 | − | 0.680952i | ||||
\(219\) | 1.23725 | − | 1.50760i | 0.0836058 | − | 0.101874i | ||||
\(220\) | 0.469489 | + | 2.49512i | 0.0316529 | + | 0.168221i | ||||
\(221\) | −7.12053 | − | 3.80600i | −0.478978 | − | 0.256019i | ||||
\(222\) | −8.83336 | + | 13.0729i | −0.592856 | + | 0.877398i | ||||
\(223\) | 12.1651 | + | 12.1651i | 0.814635 | + | 0.814635i | 0.985325 | − | 0.170690i | \(-0.0545997\pi\) |
−0.170690 | + | 0.985325i | \(0.554600\pi\) | |||||||
\(224\) | −0.464780 | + | 17.9384i | −0.0310544 | + | 1.19856i | ||||
\(225\) | −1.49111 | + | 1.49111i | −0.0994071 | + | 0.0994071i | ||||
\(226\) | −0.881859 | − | 4.55666i | −0.0586604 | − | 0.303104i | ||||
\(227\) | −8.72474 | + | 16.3228i | −0.579081 | + | 1.08339i | 0.406415 | + | 0.913689i | \(0.366779\pi\) |
−0.985496 | + | 0.169697i | \(0.945721\pi\) | |||||||
\(228\) | 1.61479 | + | 2.47177i | 0.106942 | + | 0.163697i | ||||
\(229\) | 13.6638 | + | 11.2136i | 0.902927 | + | 0.741013i | 0.966420 | − | 0.256969i | \(-0.0827238\pi\) |
−0.0634922 | + | 0.997982i | \(0.520224\pi\) | |||||||
\(230\) | 3.36922 | − | 10.9032i | 0.222160 | − | 0.718933i | ||||
\(231\) | 2.32274 | − | 0.462023i | 0.152825 | − | 0.0303989i | ||||
\(232\) | 3.62457 | + | 7.04222i | 0.237965 | + | 0.462344i | ||||
\(233\) | −3.82211 | + | 19.2151i | −0.250395 | + | 1.25882i | 0.626988 | + | 0.779029i | \(0.284288\pi\) |
−0.877383 | + | 0.479791i | \(0.840712\pi\) | |||||||
\(234\) | −2.32759 | − | 7.81864i | −0.152159 | − | 0.511120i | ||||
\(235\) | 13.0970 | + | 3.97293i | 0.854354 | + | 0.259166i | ||||
\(236\) | 4.35265 | + | 1.36977i | 0.283333 | + | 0.0891643i | ||||
\(237\) | −6.81239 | + | 5.59078i | −0.442512 | + | 0.363160i | ||||
\(238\) | −2.37281 | − | 5.81348i | −0.153807 | − | 0.376832i | ||||
\(239\) | 2.92148 | + | 1.21012i | 0.188975 | + | 0.0782760i | 0.475164 | − | 0.879897i | \(-0.342389\pi\) |
−0.286189 | + | 0.958173i | \(0.592389\pi\) | |||||||
\(240\) | 6.22846 | + | 2.73246i | 0.402046 | + | 0.176380i | ||||
\(241\) | −13.7607 | + | 5.69985i | −0.886402 | + | 0.367160i | −0.778976 | − | 0.627054i | \(-0.784261\pi\) |
−0.107425 | + | 0.994213i | \(0.534261\pi\) | |||||||
\(242\) | −10.3884 | − | 10.4966i | −0.667791 | − | 0.674746i | ||||
\(243\) | 0.995185 | + | 0.0980171i | 0.0638411 | + | 0.00628780i | ||||
\(244\) | −20.3630 | − | 2.21885i | −1.30361 | − | 0.142047i | ||||
\(245\) | −4.59255 | + | 2.45477i | −0.293407 | + | 0.156830i | ||||
\(246\) | 3.21301 | + | 0.333270i | 0.204854 | + | 0.0212485i | ||||
\(247\) | −7.08044 | + | 4.73100i | −0.450517 | + | 0.301026i | ||||
\(248\) | 3.19022 | + | 17.4516i | 0.202579 | + | 1.10818i | ||||
\(249\) | −9.25330 | + | 13.8485i | −0.586404 | + | 0.877616i | ||||
\(250\) | 17.0204 | − | 1.58738i | 1.07647 | − | 0.100394i | ||||
\(251\) | 0.0403178 | + | 0.409353i | 0.00254483 | + | 0.0258381i | 0.996373 | − | 0.0850898i | \(-0.0271177\pi\) |
−0.993828 | + | 0.110928i | \(0.964618\pi\) | |||||||
\(252\) | 2.48846 | − | 5.83590i | 0.156758 | − | 0.367627i | ||||
\(253\) | −1.02848 | − | 3.39044i | −0.0646600 | − | 0.213155i | ||||
\(254\) | 5.68044 | − | 27.8039i | 0.356422 | − | 1.74457i | ||||
\(255\) | −2.37997 | −0.149039 | ||||||||
\(256\) | −0.662953 | + | 15.9863i | −0.0414346 | + | 0.999141i | ||||
\(257\) | −20.0902 | −1.25319 | −0.626595 | − | 0.779345i | \(-0.715552\pi\) | ||||
−0.626595 | + | 0.779345i | \(0.715552\pi\) | |||||||
\(258\) | −1.76064 | + | 8.61775i | −0.109613 | + | 0.536518i | ||||
\(259\) | −10.2731 | − | 33.8658i | −0.638339 | − | 2.10432i | ||||
\(260\) | −7.69441 | + | 18.0448i | −0.477187 | + | 1.11909i | ||||
\(261\) | −0.274471 | − | 2.78675i | −0.0169893 | − | 0.172495i | ||||
\(262\) | −0.346279 | + | 0.0322950i | −0.0213932 | + | 0.00199519i | ||||
\(263\) | 14.2594 | − | 21.3407i | 0.879271 | − | 1.31592i | −0.0687239 | − | 0.997636i | \(-0.521893\pi\) |
0.947995 | − | 0.318286i | \(-0.103107\pi\) | |||||||
\(264\) | 2.07721 | − | 0.379722i | 0.127844 | − | 0.0233703i | ||||
\(265\) | 14.7182 | − | 9.83435i | 0.904129 | − | 0.604120i | ||||
\(266\) | −6.58724 | − | 0.683263i | −0.403890 | − | 0.0418935i | ||||
\(267\) | 9.44619 | − | 5.04909i | 0.578097 | − | 0.308999i | ||||
\(268\) | 12.0331 | + | 1.31118i | 0.735036 | + | 0.0800929i | ||||
\(269\) | −0.124330 | − | 0.0122454i | −0.00758051 | − | 0.000746615i | 0.0942262 | − | 0.995551i | \(-0.469962\pi\) |
−0.101807 | + | 0.994804i | \(0.532462\pi\) | |||||||
\(270\) | −1.69154 | − | 1.70916i | −0.102944 | − | 0.104016i | ||||
\(271\) | 18.2311 | − | 7.55156i | 1.10746 | − | 0.458725i | 0.247397 | − | 0.968914i | \(-0.420425\pi\) |
0.860062 | + | 0.510189i | \(0.170425\pi\) | |||||||
\(272\) | −2.03489 | − | 5.21581i | −0.123383 | − | 0.316255i | ||||
\(273\) | 16.9053 | + | 7.00242i | 1.02316 | + | 0.423806i | ||||
\(274\) | −6.47524 | − | 15.8646i | −0.391183 | − | 0.958414i | ||||
\(275\) | 1.21698 | − | 0.998748i | 0.0733866 | − | 0.0602268i | ||||
\(276\) | −9.05362 | − | 2.84915i | −0.544964 | − | 0.171499i | ||||
\(277\) | −15.2331 | − | 4.62091i | −0.915268 | − | 0.277644i | −0.202695 | − | 0.979242i | \(-0.564970\pi\) |
−0.712573 | + | 0.701598i | \(0.752470\pi\) | |||||||
\(278\) | 1.15484 | + | 3.87923i | 0.0692627 | + | 0.232661i | ||||
\(279\) | 1.22367 | − | 6.15181i | 0.0732593 | − | 0.368299i | ||||
\(280\) | −13.5648 | + | 6.98167i | −0.810651 | + | 0.417235i | ||||
\(281\) | −19.0864 | + | 3.79653i | −1.13860 | + | 0.226482i | −0.728161 | − | 0.685406i | \(-0.759625\pi\) |
−0.410440 | + | 0.911888i | \(0.634625\pi\) | |||||||
\(282\) | 3.36072 | − | 10.8756i | 0.200128 | − | 0.647635i | ||||
\(283\) | 25.0995 | + | 20.5986i | 1.49201 | + | 1.22446i | 0.912223 | + | 0.409695i | \(0.134365\pi\) |
0.579789 | + | 0.814767i | \(0.303135\pi\) | |||||||
\(284\) | 9.94669 | + | 15.2255i | 0.590227 | + | 0.903464i | ||||
\(285\) | −1.18328 | + | 2.21377i | −0.0700916 | + | 0.131132i | ||||
\(286\) | 1.15721 | + | 5.97942i | 0.0684273 | + | 0.353571i | ||||
\(287\) | −5.12341 | + | 5.12341i | −0.302425 | + | 0.302425i | ||||
\(288\) | 2.29942 | − | 5.16843i | 0.135495 | − | 0.304553i | ||||
\(289\) | −10.6355 | − | 10.6355i | −0.625619 | − | 0.625619i | ||||
\(290\) | −3.76998 | + | 5.57939i | −0.221381 | + | 0.327633i | ||||
\(291\) | 2.67725 | + | 1.43102i | 0.156943 | + | 0.0838880i | ||||
\(292\) | 0.721287 | + | 3.83332i | 0.0422101 | + | 0.224328i | ||||
\(293\) | 1.49664 | − | 1.82366i | 0.0874348 | − | 0.106540i | −0.727455 | − | 0.686155i | \(-0.759297\pi\) |
0.814890 | + | 0.579615i | \(0.196797\pi\) | |||||||
\(294\) | 2.02184 | + | 3.83020i | 0.117916 | + | 0.223382i | ||||
\(295\) | 0.756847 | + | 3.80493i | 0.0440653 | + | 0.221531i | ||||
\(296\) | −8.68953 | − | 30.3350i | −0.505068 | − | 1.76318i | ||||
\(297\) | −0.732230 | − | 0.145650i | −0.0424883 | − | 0.00845145i | ||||
\(298\) | −14.0621 | + | 25.9837i | −0.814598 | + | 1.50520i | ||||
\(299\) | 7.94652 | − | 26.1962i | 0.459559 | − | 1.51496i | ||||
\(300\) | −0.369875 | − | 4.20124i | −0.0213547 | − | 0.242558i | ||||
\(301\) | −12.5162 | − | 15.2510i | −0.721419 | − | 0.879051i | ||||
\(302\) | −14.6800 | − | 6.16995i | −0.844740 | − | 0.355041i | ||||
\(303\) | 3.77587 | − | 9.11575i | 0.216918 | − | 0.523686i | ||||
\(304\) | −5.86329 | − | 0.700438i | −0.336283 | − | 0.0401729i | ||||
\(305\) | −6.66436 | − | 16.0892i | −0.381600 | − | 0.921264i | ||||
\(306\) | −0.0102550 | + | 1.97941i | −0.000586242 | + | 0.113156i | ||||
\(307\) | 0.141309 | − | 1.43474i | 0.00806494 | − | 0.0818847i | −0.990310 | − | 0.138877i | \(-0.955651\pi\) |
0.998375 | + | 0.0569918i | \(0.0181509\pi\) | |||||||
\(308\) | −2.27593 | + | 4.15386i | −0.129683 | + | 0.236688i | ||||
\(309\) | −3.22547 | − | 6.03443i | −0.183491 | − | 0.343287i | ||||
\(310\) | −11.7087 | + | 9.50801i | −0.665011 | + | 0.540019i | ||||
\(311\) | 2.00253 | + | 2.99700i | 0.113553 | + | 0.169944i | 0.883893 | − | 0.467689i | \(-0.154913\pi\) |
−0.770340 | + | 0.637634i | \(0.779913\pi\) | |||||||
\(312\) | 14.9747 | + | 6.47718i | 0.847775 | + | 0.366698i | ||||
\(313\) | −1.81952 | − | 1.21577i | −0.102846 | − | 0.0687192i | 0.503084 | − | 0.864238i | \(-0.332199\pi\) |
−0.605930 | + | 0.795518i | \(0.707199\pi\) | |||||||
\(314\) | −14.9130 | − | 12.3686i | −0.841587 | − | 0.698001i | ||||
\(315\) | 5.36785 | − | 0.528688i | 0.302444 | − | 0.0297882i | ||||
\(316\) | 0.182626 | − | 17.6247i | 0.0102735 | − | 0.991465i | ||||
\(317\) | 6.09144 | − | 1.84782i | 0.342129 | − | 0.103784i | −0.114544 | − | 0.993418i | \(-0.536541\pi\) |
0.456674 | + | 0.889634i | \(0.349041\pi\) | |||||||
\(318\) | −8.11580 | − | 12.2834i | −0.455111 | − | 0.688821i | ||||
\(319\) | 2.09058i | 0.117050i | ||||||||
\(320\) | −12.1902 | + | 6.03643i | −0.681455 | + | 0.337447i | ||||
\(321\) | − | 14.7551i | − | 0.823547i | ||||||
\(322\) | 17.7627 | − | 11.7360i | 0.989874 | − | 0.654020i | ||||
\(323\) | 1.97729 | − | 0.599805i | 0.110019 | − | 0.0333740i | ||||
\(324\) | −1.42879 | + | 1.39948i | −0.0793773 | + | 0.0777491i | ||||
\(325\) | 12.1055 | − | 1.19229i | 0.671492 | − | 0.0661362i | ||||
\(326\) | 3.68319 | − | 4.44086i | 0.203993 | − | 0.245956i | ||||
\(327\) | −6.68422 | − | 4.46625i | −0.369638 | − | 0.246984i | ||||
\(328\) | −4.63870 | + | 4.49670i | −0.256129 | + | 0.248289i | ||||
\(329\) | 14.1852 | + | 21.2297i | 0.782057 | + | 1.17043i | ||||
\(330\) | 1.13171 | + | 1.39365i | 0.0622985 | + | 0.0767180i | ||||
\(331\) | −16.3770 | − | 30.6392i | −0.900160 | − | 1.68408i | −0.712289 | − | 0.701887i | \(-0.752341\pi\) |
−0.187871 | − | 0.982194i | \(-0.560159\pi\) | |||||||
\(332\) | −9.33886 | − | 31.9751i | −0.512537 | − | 1.75486i | ||||
\(333\) | −1.09352 | + | 11.1027i | −0.0599243 | + | 0.608422i | ||||
\(334\) | 0.857566 | + | 0.00444292i | 0.0469239 | + | 0.000243106i | ||||
\(335\) | 3.93815 | + | 9.50753i | 0.215164 | + | 0.519452i | ||||
\(336\) | 5.74820 | + | 11.3119i | 0.313590 | + | 0.617114i | ||||
\(337\) | 10.9977 | − | 26.5508i | 0.599084 | − | 1.44632i | −0.275433 | − | 0.961320i | \(-0.588821\pi\) |
0.874517 | − | 0.484996i | \(-0.161179\pi\) | |||||||
\(338\) | −11.1095 | + | 26.4326i | −0.604278 | + | 1.43774i | ||||
\(339\) | −2.08197 | − | 2.53689i | −0.113077 | − | 0.137785i | ||||
\(340\) | 3.05763 | − | 3.64799i | 0.165823 | − | 0.197840i | ||||
\(341\) | −1.35934 | + | 4.48113i | −0.0736122 | + | 0.242667i | ||||
\(342\) | 1.83609 | + | 0.993673i | 0.0992842 | + | 0.0537317i | ||||
\(343\) | 12.2502 | + | 2.43672i | 0.661450 | + | 0.131571i | ||||
\(344\) | −10.9473 | − | 13.7702i | −0.590236 | − | 0.742441i | ||||
\(345\) | −1.57426 | − | 7.91435i | −0.0847554 | − | 0.426094i | ||||
\(346\) | −9.77828 | + | 5.16165i | −0.525684 | + | 0.277492i | ||||
\(347\) | −6.71210 | + | 8.17872i | −0.360324 | + | 0.439056i | −0.921345 | − | 0.388745i | \(-0.872909\pi\) |
0.561021 | + | 0.827802i | \(0.310409\pi\) | |||||||
\(348\) | 4.62412 | + | 3.15953i | 0.247879 | + | 0.169369i | ||||
\(349\) | −29.7212 | − | 15.8863i | −1.59094 | − | 0.850374i | −0.999015 | − | 0.0443807i | \(-0.985869\pi\) |
−0.591924 | − | 0.805994i | \(-0.701631\pi\) | |||||||
\(350\) | 7.83839 | + | 5.29639i | 0.418980 | + | 0.283104i | ||||
\(351\) | −4.07887 | − | 4.07887i | −0.217714 | − | 0.217714i | ||||
\(352\) | −2.08664 | + | 3.67178i | −0.111218 | + | 0.195706i | ||||
\(353\) | 9.10812 | − | 9.10812i | 0.484776 | − | 0.484776i | −0.421877 | − | 0.906653i | \(-0.638629\pi\) |
0.906653 | + | 0.421877i | \(0.138629\pi\) | |||||||
\(354\) | 3.16781 | − | 0.613074i | 0.168367 | − | 0.0325845i | ||||
\(355\) | −7.28871 | + | 13.6362i | −0.386844 | + | 0.723735i | ||||
\(356\) | −4.39667 | + | 20.9658i | −0.233023 | + | 1.11119i | ||||
\(357\) | −3.43215 | − | 2.81669i | −0.181649 | − | 0.149075i | ||||
\(358\) | 12.5592 | + | 3.88095i | 0.663773 | + | 0.205115i | ||||
\(359\) | 21.0209 | − | 4.18131i | 1.10944 | − | 0.220681i | 0.393830 | − | 0.919183i | \(-0.371150\pi\) |
0.715608 | + | 0.698502i | \(0.246150\pi\) | |||||||
\(360\) | 4.79296 | − | 0.396958i | 0.252611 | − | 0.0209215i | ||||
\(361\) | −3.28156 | + | 16.4975i | −0.172713 | + | 0.868289i | ||||
\(362\) | −23.6996 | + | 7.05531i | −1.24562 | + | 0.370819i | ||||
\(363\) | −9.99297 | − | 3.03133i | −0.524495 | − | 0.159104i | ||||
\(364\) | −32.4522 | + | 16.9161i | −1.70096 | + | 0.886644i | ||||
\(365\) | −2.56347 | + | 2.10379i | −0.134178 | + | 0.110117i | ||||
\(366\) | −13.4101 | + | 5.47341i | −0.700955 | + | 0.286100i | ||||
\(367\) | −14.2835 | − | 5.91641i | −0.745592 | − | 0.308834i | −0.0226504 | − | 0.999743i | \(-0.507210\pi\) |
−0.722942 | + | 0.690909i | \(0.757210\pi\) | |||||||
\(368\) | 15.9987 | − | 10.2169i | 0.833989 | − | 0.532592i | ||||
\(369\) | 2.11026 | − | 0.874097i | 0.109856 | − | 0.0455037i | ||||
\(370\) | 19.0680 | − | 18.8714i | 0.991298 | − | 0.981079i | ||||
\(371\) | 32.8640 | + | 3.23683i | 1.70622 | + | 0.168048i | ||||
\(372\) | 7.85735 | + | 9.77909i | 0.407384 | + | 0.507022i | ||||
\(373\) | −9.77829 | + | 5.22661i | −0.506301 | + | 0.270623i | −0.704710 | − | 0.709496i | \(-0.748923\pi\) |
0.198409 | + | 0.980119i | \(0.436423\pi\) | |||||||
\(374\) | 0.152467 | − | 1.46992i | 0.00788389 | − | 0.0760075i | ||||
\(375\) | 10.0504 | − | 6.71545i | 0.518999 | − | 0.346784i | ||||
\(376\) | 12.3524 | + | 19.1236i | 0.637029 | + | 0.986225i | ||||
\(377\) | −8.97404 | + | 13.4306i | −0.462186 | + | 0.691711i | ||||
\(378\) | −0.416579 | − | 4.46671i | −0.0214265 | − | 0.229743i | ||||
\(379\) | 0.794511 | + | 8.06680i | 0.0408113 | + | 0.414364i | 0.993785 | + | 0.111312i | \(0.0355054\pi\) |
−0.952974 | + | 0.303051i | \(0.901995\pi\) | |||||||
\(380\) | −1.87303 | − | 4.65783i | −0.0960846 | − | 0.238942i | ||||
\(381\) | −5.82497 | − | 19.2024i | −0.298423 | − | 0.983767i | ||||
\(382\) | −9.51588 | − | 1.94413i | −0.486875 | − | 0.0994704i | ||||
\(383\) | 8.14470 | 0.416175 | 0.208087 | − | 0.978110i | \(-0.433276\pi\) | ||||
0.208087 | + | 0.978110i | \(0.433276\pi\) | |||||||
\(384\) | 4.96797 | + | 10.1646i | 0.253520 | + | 0.518711i | ||||
\(385\) | −4.02690 | −0.205230 | ||||||||
\(386\) | −16.9081 | − | 3.45440i | −0.860602 | − | 0.175824i | ||||
\(387\) | 1.80544 | + | 5.95173i | 0.0917756 | + | 0.302544i | ||||
\(388\) | −5.63303 | + | 2.26518i | −0.285974 | + | 0.114997i | ||||
\(389\) | −2.00697 | − | 20.3771i | −0.101758 | − | 1.03316i | −0.901488 | − | 0.432803i | \(-0.857524\pi\) |
0.799731 | − | 0.600359i | \(-0.204976\pi\) | |||||||
\(390\) | 1.28808 | + | 13.8112i | 0.0652243 | + | 0.699360i | ||||
\(391\) | −3.69032 | + | 5.52296i | −0.186628 | + | 0.279308i | ||||
\(392\) | −8.46843 | − | 1.82174i | −0.427720 | − | 0.0920116i | ||||
\(393\) | −0.204474 | + | 0.136625i | −0.0103144 | + | 0.00689183i | ||||
\(394\) | −3.76541 | + | 36.3018i | −0.189699 | + | 1.82886i | ||||
\(395\) | 13.2156 | − | 7.06389i | 0.664950 | − | 0.355423i | ||||
\(396\) | 1.16397 | − | 0.935235i | 0.0584919 | − | 0.0469973i | ||||
\(397\) | 32.9784 | + | 3.24809i | 1.65514 | + | 0.163017i | 0.882009 | − | 0.471232i | \(-0.156191\pi\) |
0.773129 | + | 0.634249i | \(0.218691\pi\) | |||||||
\(398\) | 18.8867 | − | 18.6920i | 0.946704 | − | 0.936945i | ||||
\(399\) | −4.32641 | + | 1.79206i | −0.216591 | + | 0.0897151i | ||||
\(400\) | 6.91481 | + | 4.83054i | 0.345741 | + | 0.241527i | ||||
\(401\) | 29.0966 | + | 12.0522i | 1.45302 | + | 0.601859i | 0.962915 | − | 0.269806i | \(-0.0869597\pi\) |
0.490102 | + | 0.871665i | \(0.336960\pi\) | |||||||
\(402\) | 7.92436 | − | 3.23438i | 0.395231 | − | 0.161316i | ||||
\(403\) | −27.9685 | + | 22.9532i | −1.39321 | + | 1.14338i | ||||
\(404\) | 9.12154 | + | 17.4990i | 0.453814 | + | 0.870606i | ||||
\(405\) | −1.62715 | − | 0.493591i | −0.0808538 | − | 0.0245267i | ||||
\(406\) | −12.0399 | + | 3.58426i | −0.597531 | + | 0.177884i | ||||
\(407\) | 1.62492 | − | 8.16904i | 0.0805445 | − | 0.404924i | ||||
\(408\) | −3.02085 | − | 2.55875i | −0.149554 | − | 0.126677i | ||||
\(409\) | −12.0142 | + | 2.38976i | −0.594062 | + | 0.118166i | −0.482959 | − | 0.875643i | \(-0.660438\pi\) |
−0.111102 | + | 0.993809i | \(0.535438\pi\) | |||||||
\(410\) | −5.24777 | − | 1.62163i | −0.259169 | − | 0.0800865i | ||||
\(411\) | −9.36609 | − | 7.68655i | −0.461995 | − | 0.379150i | ||||
\(412\) | 13.3934 | + | 2.80868i | 0.659846 | + | 0.138374i | ||||
\(413\) | −3.41169 | + | 6.38282i | −0.167878 | + | 0.314078i | ||||
\(414\) | −6.58913 | + | 1.27521i | −0.323838 | + | 0.0626731i | ||||
\(415\) | 20.0256 | − | 20.0256i | 0.983019 | − | 0.983019i | ||||
\(416\) | −29.1667 | + | 14.6316i | −1.43002 | + | 0.717373i | ||||
\(417\) | 2.02374 | + | 2.02374i | 0.0991030 | + | 0.0991030i | ||||
\(418\) | −1.29146 | − | 0.872640i | −0.0631675 | − | 0.0426822i | ||||
\(419\) | −23.8832 | − | 12.7658i | −1.16677 | − | 0.623652i | −0.229861 | − | 0.973223i | \(-0.573827\pi\) |
−0.936910 | + | 0.349571i | \(0.886327\pi\) | |||||||
\(420\) | −6.08592 | + | 8.90703i | −0.296962 | + | 0.434618i | ||||
\(421\) | −15.5513 | + | 18.9493i | −0.757923 | + | 0.923532i | −0.998895 | − | 0.0470003i | \(-0.985034\pi\) |
0.240972 | + | 0.970532i | \(0.422534\pi\) | |||||||
\(422\) | 8.39614 | − | 4.43206i | 0.408718 | − | 0.215749i | ||||
\(423\) | −1.57029 | − | 7.89437i | −0.0763500 | − | 0.383838i | ||||
\(424\) | 29.2546 | + | 3.34117i | 1.42073 | + | 0.162261i | ||||
\(425\) | −2.89484 | − | 0.575820i | −0.140420 | − | 0.0279314i | ||||
\(426\) | 11.3098 | + | 6.12076i | 0.547962 | + | 0.296552i | ||||
\(427\) | 9.43090 | − | 31.0895i | 0.456393 | − | 1.50453i | ||||
\(428\) | 22.6164 | + | 18.9564i | 1.09321 | + | 0.916291i | ||||
\(429\) | 2.73204 | + | 3.32900i | 0.131904 | + | 0.160726i | ||||
\(430\) | 5.79494 | − | 13.7877i | 0.279457 | − | 0.664904i | ||||
\(431\) | 12.7208 | − | 30.7108i | 0.612741 | − | 1.47929i | −0.247237 | − | 0.968955i | \(-0.579522\pi\) |
0.859977 | − | 0.510332i | \(-0.170478\pi\) | |||||||
\(432\) | −0.309497 | − | 3.98801i | −0.0148907 | − | 0.191873i | ||||
\(433\) | 0.114350 | + | 0.276065i | 0.00549530 | + | 0.0132668i | 0.926603 | − | 0.376040i | \(-0.122715\pi\) |
−0.921108 | + | 0.389307i | \(0.872715\pi\) | |||||||
\(434\) | −28.1379 | − | 0.145778i | −1.35066 | − | 0.00699759i | ||||
\(435\) | −0.466701 | + | 4.73850i | −0.0223766 | + | 0.227194i | ||||
\(436\) | 15.4333 | − | 4.50755i | 0.739121 | − | 0.215873i | ||||
\(437\) | 3.30250 | + | 6.17855i | 0.157980 | + | 0.295560i | ||||
\(438\) | 1.73867 | + | 2.14110i | 0.0830769 | + | 0.102306i | ||||
\(439\) | 4.37042 | + | 6.54079i | 0.208589 | + | 0.312175i | 0.920982 | − | 0.389606i | \(-0.127389\pi\) |
−0.712393 | + | 0.701781i | \(0.752389\pi\) | |||||||
\(440\) | −3.59013 | − | 0.0558037i | −0.171153 | − | 0.00266034i | ||||
\(441\) | 2.54640 | + | 1.70145i | 0.121257 | + | 0.0810216i | ||||
\(442\) | 7.28925 | − | 8.78874i | 0.346714 | − | 0.418038i | ||||
\(443\) | −14.2392 | + | 1.40244i | −0.676527 | + | 0.0666320i | −0.430445 | − | 0.902617i | \(-0.641643\pi\) |
−0.246082 | + | 0.969249i | \(0.579143\pi\) | |||||||
\(444\) | −15.6132 | − | 15.9401i | −0.740969 | − | 0.756485i | ||||
\(445\) | −17.4283 | + | 5.28682i | −0.826181 | + | 0.250619i | ||||
\(446\) | −20.2996 | + | 13.4121i | −0.961212 | + | 0.635083i | ||||
\(447\) | 20.8913i | 0.988127i | ||||||||
\(448\) | −24.7237 | − | 5.72202i | −1.16808 | − | 0.270340i | ||||
\(449\) | − | 2.01417i | − | 0.0950544i | −0.998870 | − | 0.0475272i | \(-0.984866\pi\) | ||
0.998870 | − | 0.0475272i | \(-0.0151341\pi\) | |||||||
\(450\) | −1.64396 | − | 2.48817i | −0.0774970 | − | 0.117293i | ||||
\(451\) | −1.63184 | + | 0.495015i | −0.0768406 | + | 0.0233093i | ||||
\(452\) | 6.56330 | + | 0.0680089i | 0.308712 | + | 0.00319887i | ||||
\(453\) | −11.2057 | + | 1.10366i | −0.526489 | + | 0.0518547i | ||||
\(454\) | −20.1470 | − | 16.7096i | −0.945545 | − | 0.784222i | ||||
\(455\) | −25.8701 | − | 17.2859i | −1.21281 | − | 0.810374i | ||||
\(456\) | −3.88198 | + | 1.53773i | −0.181791 | + | 0.0720108i | ||||
\(457\) | 3.88292 | + | 5.81119i | 0.181635 | + | 0.271836i | 0.911103 | − | 0.412179i | \(-0.135232\pi\) |
−0.729468 | + | 0.684015i | \(0.760232\pi\) | |||||||
\(458\) | −19.4054 | + | 15.7581i | −0.906754 | + | 0.736326i | ||||
\(459\) | 0.659802 | + | 1.23440i | 0.0307969 | + | 0.0576170i | ||||
\(460\) | 14.1536 | + | 7.75485i | 0.659913 | + | 0.361572i | ||||
\(461\) | 1.70803 | − | 17.3419i | 0.0795508 | − | 0.807692i | −0.869785 | − | 0.493430i | \(-0.835743\pi\) |
0.949336 | − | 0.314262i | \(-0.101757\pi\) | |||||||
\(462\) | −0.0173515 | + | 3.34917i | −0.000807266 | + | 0.155817i | ||||
\(463\) | −0.266781 | − | 0.644067i | −0.0123984 | − | 0.0299323i | 0.917559 | − | 0.397599i | \(-0.130157\pi\) |
−0.929957 | + | 0.367667i | \(0.880157\pi\) | |||||||
\(464\) | −10.7837 | + | 3.02865i | −0.500620 | + | 0.140602i | ||||
\(465\) | −4.08143 | + | 9.85344i | −0.189272 | + | 0.456942i | ||||
\(466\) | −25.5423 | − | 10.7353i | −1.18322 | − | 0.497304i | ||||
\(467\) | 5.88962 | + | 7.17652i | 0.272539 | + | 0.332090i | 0.891236 | − | 0.453540i | \(-0.149839\pi\) |
−0.618697 | + | 0.785630i | \(0.712339\pi\) | |||||||
\(468\) | 11.4923 | − | 1.01178i | 0.531234 | − | 0.0467696i | ||||
\(469\) | −5.57297 | + | 18.3716i | −0.257336 | + | 0.848323i | ||||
\(470\) | −9.21238 | + | 17.0224i | −0.424936 | + | 0.785186i | ||||
\(471\) | −13.4367 | − | 2.67273i | −0.619132 | − | 0.123153i | ||||
\(472\) | −3.13009 | + | 5.64324i | −0.144074 | + | 0.259751i | ||||
\(473\) | −0.905874 | − | 4.55414i | −0.0416521 | − | 0.209399i | ||||
\(474\) | −5.81808 | − | 11.0218i | −0.267233 | − | 0.506250i | ||||
\(475\) | −1.97488 | + | 2.40640i | −0.0906138 | + | 0.110413i | ||||
\(476\) | 8.72682 | − | 1.64206i | 0.399993 | − | 0.0752637i | ||||
\(477\) | −9.18107 | − | 4.90739i | −0.420372 | − | 0.224694i | ||||
\(478\) | −2.50375 | + | 3.70542i | −0.114519 | + | 0.169482i | ||||
\(479\) | 25.9482 | + | 25.9482i | 1.18561 | + | 1.18561i | 0.978270 | + | 0.207336i | \(0.0664792\pi\) |
0.207336 | + | 0.978270i | \(0.433521\pi\) | |||||||
\(480\) | −5.54924 | + | 7.85660i | −0.253287 | + | 0.358603i | ||||
\(481\) | 45.5055 | − | 45.5055i | 2.07487 | − | 2.07487i | ||||
\(482\) | −4.00228 | − | 20.6802i | −0.182299 | − | 0.941956i | ||||
\(483\) | 7.09640 | − | 13.2764i | 0.322897 | − | 0.604099i | ||||
\(484\) | 17.4847 | − | 11.4227i | 0.794761 | − | 0.519212i | ||||
\(485\) | −3.99014 | − | 3.27462i | −0.181183 | − | 0.148693i | ||||
\(486\) | −0.417530 | + | 1.35117i | −0.0189396 | + | 0.0612905i | ||||
\(487\) | −1.77746 | + | 0.353558i | −0.0805443 | + | 0.0160212i | −0.235198 | − | 0.971947i | \(-0.575574\pi\) |
0.154654 | + | 0.987969i | \(0.450574\pi\) | |||||||
\(488\) | 8.83882 | − | 27.5867i | 0.400114 | − | 1.24879i | ||||
\(489\) | 0.795900 | − | 4.00126i | 0.0359919 | − | 0.180943i | ||||
\(490\) | −2.10124 | − | 7.05830i | −0.0949245 | − | 0.318862i | ||||
\(491\) | 24.6738 | + | 7.48471i | 1.11351 | + | 0.337780i | 0.792852 | − | 0.609414i | \(-0.208595\pi\) |
0.320660 | + | 0.947194i | \(0.396095\pi\) | |||||||
\(492\) | −1.37132 | + | 4.35757i | −0.0618238 | + | 0.196454i | ||||
\(493\) | 3.02975 | − | 2.48645i | 0.136453 | − | 0.111984i | ||||
\(494\) | −4.55089 | − | 11.1499i | −0.204754 | − | 0.501656i | ||||
\(495\) | 1.17282 | + | 0.485799i | 0.0527145 | + | 0.0218350i | ||||
\(496\) | −25.0839 | − | 0.519895i | −1.12630 | − | 0.0233440i | ||||
\(497\) | −26.6495 | + | 11.0386i | −1.19539 | + | 0.495149i | ||||
\(498\) | −16.5690 | − | 16.7416i | −0.742474 | − | 0.750207i | ||||
\(499\) | 10.5552 | + | 1.03960i | 0.472516 | + | 0.0465388i | 0.331473 | − | 0.943465i | \(-0.392454\pi\) |
0.141043 | + | 0.990003i | \(0.454954\pi\) | |||||||
\(500\) | −2.61872 | + | 24.0327i | −0.117113 | + | 1.07478i | ||||
\(501\) | 0.534796 | − | 0.285854i | 0.0238929 | − | 0.0127710i | ||||
\(502\) | −0.578610 | − | 0.0600164i | −0.0258246 | − | 0.00267866i | ||||
\(503\) | 25.5679 | − | 17.0839i | 1.14002 | − | 0.761734i | 0.165534 | − | 0.986204i | \(-0.447065\pi\) |
0.974481 | + | 0.224470i | \(0.0720651\pi\) | |||||||
\(504\) | 7.38174 | + | 5.10003i | 0.328809 | + | 0.227173i | ||||
\(505\) | −9.32093 | + | 13.9498i | −0.414776 | + | 0.620756i | ||||
\(506\) | 4.98892 | − | 0.465281i | 0.221784 | − | 0.0206843i | ||||
\(507\) | 1.98724 | + | 20.1768i | 0.0882563 | + | 0.896081i | ||||
\(508\) | 36.9168 | + | 15.7415i | 1.63792 | + | 0.698417i | ||||
\(509\) | 12.4449 | + | 41.0253i | 0.551611 | + | 1.81842i | 0.574260 | + | 0.818673i | \(0.305290\pi\) |
−0.0226495 | + | 0.999743i | \(0.507210\pi\) | |||||||
\(510\) | 0.673724 | − | 3.29766i | 0.0298330 | − | 0.146023i | ||||
\(511\) | −6.18662 | −0.273680 | ||||||||
\(512\) | −21.9628 | − | 5.44400i | −0.970626 | − | 0.240593i | ||||
\(513\) | 1.47625 | 0.0651778 | ||||||||
\(514\) | 5.68716 | − | 27.8368i | 0.250850 | − | 1.22783i | ||||
\(515\) | 3.37733 | + | 11.1336i | 0.148823 | + | 0.490604i | ||||
\(516\) | −11.4423 | − | 4.87905i | −0.503718 | − | 0.214788i | ||||
\(517\) | 0.589006 | + | 5.98028i | 0.0259044 | + | 0.263012i | ||||
\(518\) | 49.8324 | − | 4.64751i | 2.18951 | − | 0.204200i | ||||
\(519\) | −4.34372 | + | 6.50083i | −0.190668 | + | 0.285355i | ||||
\(520\) | −22.8246 | − | 15.7695i | −1.00092 | − | 0.691537i | ||||
\(521\) | 14.7544 | − | 9.85860i | 0.646404 | − | 0.431913i | −0.188678 | − | 0.982039i | \(-0.560420\pi\) |
0.835082 | + | 0.550126i | \(0.185420\pi\) | |||||||
\(522\) | 3.93899 | + | 0.408573i | 0.172405 | + | 0.0178827i | ||||
\(523\) | −2.13073 | + | 1.13890i | −0.0931704 | + | 0.0498006i | −0.517324 | − | 0.855790i | \(-0.673072\pi\) |
0.424153 | + | 0.905590i | \(0.360572\pi\) | |||||||
\(524\) | 0.0532775 | − | 0.488944i | 0.00232744 | − | 0.0213596i | ||||
\(525\) | 6.65704 | + | 0.655661i | 0.290537 | + | 0.0286154i | ||||
\(526\) | 25.5329 | + | 25.7988i | 1.11329 | + | 1.12488i | ||||
\(527\) | 8.11095 | − | 3.35966i | 0.353318 | − | 0.146349i | ||||
\(528\) | −0.0618814 | + | 2.98566i | −0.00269304 | + | 0.129934i | ||||
\(529\) | 0.442143 | + | 0.183142i | 0.0192236 | + | 0.00796268i | ||||
\(530\) | 9.45996 | + | 23.1773i | 0.410915 | + | 1.00676i | ||||
\(531\) | 1.76366 | − | 1.44740i | 0.0765363 | − | 0.0628117i | ||||
\(532\) | 2.81145 | − | 8.93381i | 0.121892 | − | 0.387330i | ||||
\(533\) | −12.6084 | − | 3.82472i | −0.546131 | − | 0.165667i | ||||
\(534\) | 4.32194 | + | 14.5179i | 0.187029 | + | 0.628250i | ||||
\(535\) | −4.89463 | + | 24.6070i | −0.211613 | + | 1.06385i | ||||
\(536\) | −5.22309 | + | 16.3017i | −0.225603 | + | 0.704127i | ||||
\(537\) | 9.11641 | − | 1.81337i | 0.393402 | − | 0.0782526i | ||||
\(538\) | 0.0521626 | − | 0.168804i | 0.00224889 | − | 0.00727765i | ||||
\(539\) | −1.76742 | − | 1.45049i | −0.0761282 | − | 0.0624768i | ||||
\(540\) | 2.84704 | − | 1.85995i | 0.122517 | − | 0.0800395i | ||||
\(541\) | 19.1466 | − | 35.8207i | 0.823175 | − | 1.54005i | −0.0183483 | − | 0.999832i | \(-0.505841\pi\) |
0.841523 | − | 0.540221i | \(-0.181659\pi\) | |||||||
\(542\) | 5.30250 | + | 27.3986i | 0.227762 | + | 1.17687i | ||||
\(543\) | −12.3637 | + | 12.3637i | −0.530578 | + | 0.530578i | ||||
\(544\) | 7.80302 | − | 1.34302i | 0.334552 | − | 0.0575816i | ||||
\(545\) | 9.66569 | + | 9.66569i | 0.414033 | + | 0.414033i | ||||
\(546\) | −14.4881 | + | 21.4417i | −0.620033 | + | 0.917618i | ||||
\(547\) | −12.3209 | − | 6.58567i | −0.526804 | − | 0.281583i | 0.186478 | − | 0.982459i | \(-0.440293\pi\) |
−0.713283 | + | 0.700876i | \(0.752793\pi\) | |||||||
\(548\) | 23.8149 | − | 4.48106i | 1.01732 | − | 0.191422i | ||||
\(549\) | −6.49732 | + | 7.91700i | −0.277299 | + | 0.337889i | ||||
\(550\) | 1.03935 | + | 1.96896i | 0.0443182 | + | 0.0839568i | ||||
\(551\) | −0.806470 | − | 4.05440i | −0.0343568 | − | 0.172723i | ||||
\(552\) | 6.51068 | − | 11.7381i | 0.277113 | − | 0.499606i | ||||
\(553\) | 27.4184 | + | 5.45385i | 1.16595 | + | 0.231922i | ||||
\(554\) | 10.7149 | − | 19.7988i | 0.455233 | − | 0.841169i | ||||
\(555\) | 5.50669 | − | 18.1531i | 0.233746 | − | 0.770558i | ||||
\(556\) | −5.70195 | + | 0.501997i | −0.241816 | + | 0.0212894i | ||||
\(557\) | 8.46237 | + | 10.3114i | 0.358562 | + | 0.436909i | 0.920781 | − | 0.390079i | \(-0.127552\pi\) |
−0.562219 | + | 0.826988i | \(0.690052\pi\) | |||||||
\(558\) | 8.17750 | + | 3.43697i | 0.346181 | + | 0.145499i | ||||
\(559\) | 13.7295 | − | 33.1458i | 0.580694 | − | 1.40192i | ||||
\(560\) | −5.83381 | − | 20.7716i | −0.246523 | − | 0.877762i | ||||
\(561\) | −0.399890 | − | 0.965420i | −0.0168834 | − | 0.0407601i | ||||
\(562\) | 0.142581 | − | 27.5207i | 0.00601441 | − | 1.16089i | ||||
\(563\) | −3.98147 | + | 40.4245i | −0.167799 | + | 1.70369i | 0.430642 | + | 0.902523i | \(0.358287\pi\) |
−0.598441 | + | 0.801167i | \(0.704213\pi\) | |||||||
\(564\) | 14.1178 | + | 7.73527i | 0.594468 | + | 0.325714i | ||||
\(565\) | 2.63055 | + | 4.92140i | 0.110668 | + | 0.207045i | ||||
\(566\) | −35.6465 | + | 28.9466i | −1.49833 | + | 1.21672i | ||||
\(567\) | −1.76235 | − | 2.63755i | −0.0740118 | − | 0.110767i | ||||
\(568\) | −23.9120 | + | 9.47200i | −1.00332 | + | 0.397436i | ||||
\(569\) | −11.0678 | − | 7.39527i | −0.463986 | − | 0.310026i | 0.301513 | − | 0.953462i | \(-0.402508\pi\) |
−0.765500 | + | 0.643436i | \(0.777508\pi\) | |||||||
\(570\) | −2.73241 | − | 2.26622i | −0.114448 | − | 0.0949217i | ||||
\(571\) | −24.5643 | + | 2.41937i | −1.02798 | + | 0.101247i | −0.597923 | − | 0.801553i | \(-0.704007\pi\) |
−0.430059 | + | 0.902801i | \(0.641507\pi\) | |||||||
\(572\) | −8.61262 | − | 0.0892439i | −0.360112 | − | 0.00373147i | ||||
\(573\) | −6.57202 | + | 1.99360i | −0.274550 | + | 0.0832838i | ||||
\(574\) | −5.64861 | − | 8.54929i | −0.235768 | − | 0.356841i | ||||
\(575\) | − | 10.0074i | − | 0.417338i | ||||||
\(576\) | 6.51041 | + | 4.64915i | 0.271267 | + | 0.193715i | ||||
\(577\) | 2.89971i | 0.120717i | 0.998177 | + | 0.0603583i | \(0.0192243\pi\) | ||||
−0.998177 | + | 0.0603583i | \(0.980776\pi\) | |||||||
\(578\) | 17.7472 | − | 11.7258i | 0.738187 | − | 0.487728i | ||||
\(579\) | −11.6774 | + | 3.54230i | −0.485295 | + | 0.147213i | ||||
\(580\) | −6.66354 | − | 6.80308i | −0.276689 | − | 0.282483i | ||||
\(581\) | 52.5793 | − | 5.17861i | 2.18136 | − | 0.214845i | ||||
\(582\) | −2.74069 | + | 3.30448i | −0.113605 | + | 0.136975i | ||||
\(583\) | 6.46225 | + | 4.31794i | 0.267639 | + | 0.178831i | ||||
\(584\) | −5.51560 | − | 0.0857326i | −0.228237 | − | 0.00354764i | ||||
\(585\) | 5.44926 | + | 8.15539i | 0.225299 | + | 0.337184i | ||||
\(586\) | 2.10318 | + | 2.58998i | 0.0868816 | + | 0.106991i | ||||
\(587\) | 22.2201 | + | 41.5709i | 0.917123 | + | 1.71582i | 0.662961 | + | 0.748654i | \(0.269300\pi\) |
0.254162 | + | 0.967162i | \(0.418200\pi\) | |||||||
\(588\) | −5.87943 | + | 1.71719i | −0.242464 | + | 0.0708156i | ||||
\(589\) | 0.907590 | − | 9.21492i | 0.0373966 | − | 0.379694i | ||||
\(590\) | −5.48633 | − | 0.0284239i | −0.225868 | − | 0.00117019i | ||||
\(591\) | 9.87590 | + | 23.8425i | 0.406240 | + | 0.980751i | ||||
\(592\) | 44.4917 | − | 3.45286i | 1.82860 | − | 0.141912i | ||||
\(593\) | 3.46687 | − | 8.36976i | 0.142367 | − | 0.343705i | −0.836572 | − | 0.547857i | \(-0.815444\pi\) |
0.978939 | + | 0.204152i | \(0.0654438\pi\) | |||||||
\(594\) | 0.409092 | − | 0.973342i | 0.0167852 | − | 0.0399367i | ||||
\(595\) | 4.78942 | + | 5.83592i | 0.196347 | + | 0.239250i | ||||
\(596\) | −32.0221 | − | 26.8399i | −1.31168 | − | 1.09940i | ||||
\(597\) | 5.45433 | − | 17.9805i | 0.223231 | − | 0.735894i | ||||
\(598\) | 34.0477 | + | 18.4263i | 1.39231 | + | 0.753507i | ||||
\(599\) | −14.2199 | − | 2.82851i | −0.581008 | − | 0.115570i | −0.104168 | − | 0.994560i | \(-0.533218\pi\) |
−0.476840 | + | 0.878990i | \(0.658218\pi\) | |||||||
\(600\) | 5.92590 | + | 0.676797i | 0.241924 | + | 0.0276301i | ||||
\(601\) | 4.03786 | + | 20.2997i | 0.164708 | + | 0.828043i | 0.971469 | + | 0.237165i | \(0.0762183\pi\) |
−0.806761 | + | 0.590877i | \(0.798782\pi\) | |||||||
\(602\) | 24.6747 | − | 13.0250i | 1.00567 | − | 0.530860i | ||||
\(603\) | 3.83944 | − | 4.67837i | 0.156354 | − | 0.190518i | ||||
\(604\) | 12.7047 | − | 18.5939i | 0.516946 | − | 0.756575i | ||||
\(605\) | 15.6597 | + | 8.37027i | 0.636656 | + | 0.340300i | ||||
\(606\) | 11.5618 | + | 7.81231i | 0.469667 | + | 0.317353i | ||||
\(607\) | −25.4663 | − | 25.4663i | −1.03364 | − | 1.03364i | −0.999414 | − | 0.0342308i | \(-0.989102\pi\) |
−0.0342308 | − | 0.999414i | \(-0.510898\pi\) | |||||||
\(608\) | 2.63031 | − | 7.92585i | 0.106673 | − | 0.321436i | ||||
\(609\) | −6.28105 | + | 6.28105i | −0.254521 | + | 0.254521i | ||||
\(610\) | 24.1796 | − | 4.67953i | 0.979003 | − | 0.189469i | ||||
\(611\) | −21.8870 | + | 40.9476i | −0.885451 | + | 1.65656i | ||||
\(612\) | −2.73976 | − | 0.574545i | −0.110748 | − | 0.0232246i | ||||
\(613\) | −26.5931 | − | 21.8244i | −1.07408 | − | 0.881479i | −0.0807489 | − | 0.996734i | \(-0.525731\pi\) |
−0.993336 | + | 0.115256i | \(0.963231\pi\) | |||||||
\(614\) | 1.94796 | + | 0.601944i | 0.0786131 | + | 0.0242925i | ||||
\(615\) | −3.80923 | + | 0.757703i | −0.153603 | + | 0.0305536i | ||||
\(616\) | −5.11128 | − | 4.32939i | −0.205939 | − | 0.174436i | ||||
\(617\) | 8.33094 | − | 41.8825i | 0.335391 | − | 1.68613i | −0.333488 | − | 0.942754i | \(-0.608226\pi\) |
0.668880 | − | 0.743371i | \(-0.266774\pi\) | |||||||
\(618\) | 9.27433 | − | 2.76095i | 0.373068 | − | 0.111062i | ||||
\(619\) | 20.4152 | + | 6.19287i | 0.820555 | + | 0.248913i | 0.672529 | − | 0.740071i | \(-0.265208\pi\) |
0.148026 | + | 0.988983i | \(0.452708\pi\) | |||||||
\(620\) | −9.85970 | − | 18.9151i | −0.395975 | − | 0.759647i | ||||
\(621\) | −3.66846 | + | 3.01062i | −0.147210 | + | 0.120812i | ||||
\(622\) | −4.71950 | + | 1.92630i | −0.189235 | + | 0.0772374i | ||||
\(623\) | −31.3903 | − | 13.0023i | −1.25763 | − | 0.520926i | ||||
\(624\) | −13.2138 | + | 18.9152i | −0.528975 | + | 0.757215i | ||||
\(625\) | −9.24756 | + | 3.83046i | −0.369902 | + | 0.153219i | ||||
\(626\) | 2.19963 | − | 2.17696i | 0.0879149 | − | 0.0870087i | ||||
\(627\) | −1.09682 | − | 0.108028i | −0.0438028 | − | 0.00431420i | ||||
\(628\) | 21.3594 | − | 17.1620i | 0.852334 | − | 0.684837i | ||||
\(629\) | −13.7715 | + | 7.36101i | −0.549105 | + | 0.293503i | ||||
\(630\) | −0.786996 | + | 7.58732i | −0.0313547 | + | 0.302286i | ||||
\(631\) | 24.6736 | − | 16.4863i | 0.982239 | − | 0.656311i | 0.0428203 | − | 0.999083i | \(-0.486366\pi\) |
0.939419 | + | 0.342772i | \(0.111366\pi\) | |||||||
\(632\) | 24.3689 | + | 5.24226i | 0.969342 | + | 0.208526i | ||||
\(633\) | 3.72974 | − | 5.58195i | 0.148244 | − | 0.221863i | ||||
\(634\) | 0.835947 | + | 8.96333i | 0.0331997 | + | 0.355980i | ||||
\(635\) | 3.34438 | + | 33.9560i | 0.132718 | + | 1.34750i | ||||
\(636\) | 19.3173 | − | 7.76797i | 0.765979 | − | 0.308020i | ||||
\(637\) | −5.12814 | − | 16.9052i | −0.203184 | − | 0.669809i | ||||
\(638\) | −2.89670 | − | 0.591806i | −0.114681 | − | 0.0234298i | ||||
\(639\) | 9.09328 | 0.359725 | ||||||||
\(640\) | −4.91320 | − | 18.5995i | −0.194211 | − | 0.735210i | ||||
\(641\) | −9.45803 | −0.373570 | −0.186785 | − | 0.982401i | \(-0.559807\pi\) | ||||
−0.186785 | + | 0.982401i | \(0.559807\pi\) | |||||||
\(642\) | 20.4445 | + | 4.17689i | 0.806880 | + | 0.164849i | ||||
\(643\) | −3.77148 | − | 12.4329i | −0.148732 | − | 0.490305i | 0.850639 | − | 0.525750i | \(-0.176215\pi\) |
−0.999372 | + | 0.0354447i | \(0.988715\pi\) | |||||||
\(644\) | 11.2330 | + | 27.9340i | 0.442642 | + | 1.10076i | ||||
\(645\) | −1.03658 | − | 10.5246i | −0.0408154 | − | 0.414406i | ||||
\(646\) | 0.271350 | + | 2.90951i | 0.0106761 | + | 0.114473i | ||||
\(647\) | 15.4178 | − | 23.0744i | 0.606138 | − | 0.907150i | −0.393789 | − | 0.919201i | \(-0.628836\pi\) |
0.999927 | + | 0.0120509i | \(0.00383601\pi\) | |||||||
\(648\) | −1.53465 | − | 2.37589i | −0.0602867 | − | 0.0933337i | ||||
\(649\) | −1.41628 | + | 0.946328i | −0.0555939 | + | 0.0371466i | ||||
\(650\) | −1.77482 | + | 17.1108i | −0.0696141 | + | 0.671140i | ||||
\(651\) | −17.5474 | + | 9.37928i | −0.687736 | + | 0.367603i | ||||
\(652\) | 5.11058 | + | 6.36052i | 0.200146 | + | 0.249097i | ||||
\(653\) | 4.63094 | + | 0.456107i | 0.181223 | + | 0.0178489i | 0.188221 | − | 0.982127i | \(-0.439728\pi\) |
−0.00699875 | + | 0.999976i | \(0.502228\pi\) | |||||||
\(654\) | 8.08059 | − | 7.99729i | 0.315976 | − | 0.312719i | ||||
\(655\) | 0.386323 | − | 0.160020i | 0.0150949 | − | 0.00625251i | ||||
\(656\) | −4.91746 | − | 7.70028i | −0.191995 | − | 0.300645i | ||||
\(657\) | 1.80184 | + | 0.746345i | 0.0702963 | + | 0.0291177i | ||||
\(658\) | −33.4313 | + | 13.6452i | −1.30329 | + | 0.531945i | ||||
\(659\) | 8.37437 | − | 6.87267i | 0.326219 | − | 0.267721i | −0.457000 | − | 0.889467i | \(-0.651076\pi\) |
0.783219 | + | 0.621745i | \(0.213576\pi\) | |||||||
\(660\) | −2.25140 | + | 1.17357i | −0.0876356 | + | 0.0456811i | ||||
\(661\) | −36.2042 | − | 10.9824i | −1.40818 | − | 0.427167i | −0.507501 | − | 0.861651i | \(-0.669431\pi\) |
−0.900680 | + | 0.434484i | \(0.856931\pi\) | |||||||
\(662\) | 47.0894 | − | 14.0184i | 1.83018 | − | 0.544841i | ||||
\(663\) | 1.57514 | − | 7.91874i | 0.0611732 | − | 0.307539i | ||||
\(664\) | 46.9481 | − | 3.88829i | 1.82194 | − | 0.150895i | ||||
\(665\) | 7.80961 | − | 1.55343i | 0.302844 | − | 0.0602394i | ||||
\(666\) | −15.0742 | − | 4.65813i | −0.584114 | − | 0.180499i | ||||
\(667\) | 10.2725 | + | 8.43044i | 0.397754 | + | 0.326428i | ||||
\(668\) | −0.248917 | + | 1.18698i | −0.00963089 | + | 0.0459256i | ||||
\(669\) | −8.10993 | + | 15.1726i | −0.313548 | + | 0.586607i | ||||
\(670\) | −14.2884 | + | 2.76526i | −0.552008 | + | 0.106831i | ||||
\(671\) | 5.40672 | − | 5.40672i | 0.208724 | − | 0.208724i | ||||
\(672\) | −17.3009 | + | 4.76247i | −0.667395 | + | 0.183716i | ||||
\(673\) | −33.8276 | − | 33.8276i | −1.30396 | − | 1.30396i | −0.925699 | − | 0.378260i | \(-0.876523\pi\) |
−0.378260 | − | 0.925699i | \(-0.623477\pi\) | |||||||
\(674\) | 33.6754 | + | 22.7544i | 1.29713 | + | 0.876467i | ||||
\(675\) | −1.85975 | − | 0.994055i | −0.0715816 | − | 0.0382612i | ||||
\(676\) | −33.4798 | − | 22.8758i | −1.28769 | − | 0.879839i | ||||
\(677\) | 13.1701 | − | 16.0478i | 0.506167 | − | 0.616766i | −0.455750 | − | 0.890108i | \(-0.650629\pi\) |
0.961917 | + | 0.273342i | \(0.0881290\pi\) | |||||||
\(678\) | 4.10446 | − | 2.16661i | 0.157631 | − | 0.0832083i | ||||
\(679\) | −1.87866 | − | 9.44468i | −0.0720965 | − | 0.362454i | ||||
\(680\) | 4.18907 | + | 5.26931i | 0.160643 | + | 0.202069i | ||||
\(681\) | −18.1526 | − | 3.61079i | −0.695611 | − | 0.138366i | ||||
\(682\) | −5.82422 | − | 3.15201i | −0.223021 | − | 0.120697i | ||||
\(683\) | −9.49206 | + | 31.2911i | −0.363204 | + | 1.19732i | 0.564950 | + | 0.825125i | \(0.308895\pi\) |
−0.928154 | + | 0.372197i | \(0.878605\pi\) | |||||||
\(684\) | −1.89659 | + | 2.26278i | −0.0725179 | + | 0.0865194i | ||||
\(685\) | 13.0700 | + | 15.9258i | 0.499378 | + | 0.608494i | ||||
\(686\) | −6.84412 | + | 16.2840i | −0.261310 | + | 0.621727i | ||||
\(687\) | −6.76433 | + | 16.3305i | −0.258075 | + | 0.623049i | ||||
\(688\) | 22.1789 | − | 11.2703i | 0.845562 | − | 0.429677i | ||||
\(689\) | 22.9804 | + | 55.4797i | 0.875485 | + | 2.11361i | ||||
\(690\) | 11.4117 | + | 0.0591224i | 0.434436 | + | 0.00225075i | ||||
\(691\) | −0.623188 | + | 6.32733i | −0.0237072 | + | 0.240703i | 0.976027 | + | 0.217649i | \(0.0698389\pi\) |
−0.999734 | + | 0.0230538i | \(0.992661\pi\) | |||||||
\(692\) | −4.38388 | − | 15.0099i | −0.166650 | − | 0.570590i | ||||
\(693\) | 1.11639 | + | 2.08861i | 0.0424080 | + | 0.0793397i | ||||
\(694\) | −9.43229 | − | 11.6155i | −0.358045 | − | 0.440917i | ||||
\(695\) | −2.70366 | − | 4.04631i | −0.102556 | − | 0.153485i | ||||
\(696\) | −5.68683 | + | 5.51274i | −0.215559 | + | 0.208960i | ||||
\(697\) | 2.65824 | + | 1.77618i | 0.100688 | + | 0.0672775i | ||||
\(698\) | 30.4255 | − | 36.6843i | 1.15162 | − | 1.38852i | ||||
\(699\) | −19.4972 | + | 1.92030i | −0.737451 | + | 0.0726326i | ||||
\(700\) | −9.55754 | + | 9.36150i | −0.361241 | + | 0.353831i | ||||
\(701\) | −24.6749 | + | 7.48505i | −0.931958 | + | 0.282706i | −0.719523 | − | 0.694469i | \(-0.755639\pi\) |
−0.212435 | + | 0.977175i | \(0.568139\pi\) | |||||||
\(702\) | 6.80631 | − | 4.49700i | 0.256887 | − | 0.169728i | ||||
\(703\) | 16.4696i | 0.621161i | ||||||||
\(704\) | −4.49689 | − | 3.93064i | −0.169483 | − | 0.148142i | ||||
\(705\) | 13.6863i | 0.515457i | ||||||||
\(706\) | 10.0418 | + | 15.1985i | 0.377928 | + | 0.572002i | ||||
\(707\) | −29.9513 | + | 9.08562i | −1.12643 | + | 0.341700i | ||||
\(708\) | −0.0472801 | + | 4.56285i | −0.00177690 | + | 0.171482i | ||||
\(709\) | −10.1634 | + | 1.00101i | −0.381695 | + | 0.0375936i | −0.287045 | − | 0.957917i | \(-0.592673\pi\) |
−0.0946494 | + | 0.995511i | \(0.530173\pi\) | |||||||
\(710\) | −16.8309 | − | 13.9593i | −0.631653 | − | 0.523884i | ||||
\(711\) | −7.32758 | − | 4.89613i | −0.274806 | − | 0.183619i | ||||
\(712\) | −27.8054 | − | 12.0270i | −1.04205 | − | 0.450731i | ||||
\(713\) | 16.5374 | + | 24.7499i | 0.619329 | + | 0.926891i | ||||
\(714\) | 4.87437 | − | 3.95821i | 0.182419 | − | 0.148132i | ||||
\(715\) | −3.45190 | − | 6.45806i | −0.129094 | − | 0.241518i | ||||
\(716\) | −8.93268 | + | 16.3033i | −0.333830 | + | 0.609282i | ||||
\(717\) | −0.309949 | + | 3.14696i | −0.0115753 | + | 0.117525i | ||||
\(718\) | −0.157032 | + | 30.3100i | −0.00586037 | + | 1.13116i | ||||
\(719\) | −0.311191 | − | 0.751282i | −0.0116055 | − | 0.0280181i | 0.917971 | − | 0.396648i | \(-0.129827\pi\) |
−0.929576 | + | 0.368630i | \(0.879827\pi\) | |||||||
\(720\) | −0.806778 | + | 6.75346i | −0.0300668 | + | 0.251687i | ||||
\(721\) | −8.30615 | + | 20.0528i | −0.309337 | + | 0.746806i | ||||
\(722\) | −21.9298 | − | 9.21703i | −0.816144 | − | 0.343022i | ||||
\(723\) | −9.44892 | − | 11.5135i | −0.351409 | − | 0.428193i | ||||
\(724\) | −3.06687 | − | 34.8352i | −0.113979 | − | 1.29464i | ||||
\(725\) | −1.71412 | + | 5.65070i | −0.0636609 | + | 0.209862i | ||||
\(726\) | 7.02902 | − | 12.9881i | 0.260871 | − | 0.482032i | ||||
\(727\) | −11.3794 | − | 2.26351i | −0.422039 | − | 0.0839488i | −0.0204983 | − | 0.999790i | \(-0.506525\pi\) |
−0.401541 | + | 0.915841i | \(0.631525\pi\) | |||||||
\(728\) | −14.2522 | − | 49.7541i | −0.528221 | − | 1.84401i | ||||
\(729\) | 0.195090 | + | 0.980785i | 0.00722557 | + | 0.0363254i | ||||
\(730\) | −2.18932 | − | 4.14747i | −0.0810303 | − | 0.153505i | ||||
\(731\) | −5.52261 | + | 6.72932i | −0.204261 | + | 0.248893i | ||||
\(732\) | −3.78777 | − | 20.1303i | −0.140000 | − | 0.744037i | ||||
\(733\) | −27.6655 | − | 14.7875i | −1.02185 | − | 0.546190i | −0.126693 | − | 0.991942i | \(-0.540436\pi\) |
−0.895157 | + | 0.445752i | \(0.852936\pi\) | |||||||
\(734\) | 12.2411 | − | 18.1163i | 0.451828 | − | 0.668683i | ||||
\(735\) | −3.68222 | − | 3.68222i | −0.135821 | − | 0.135821i | ||||
\(736\) | 9.62751 | + | 25.0599i | 0.354875 | + | 0.923719i | ||||
\(737\) | −3.19498 | + | 3.19498i | −0.117688 | + | 0.117688i | ||||
\(738\) | 0.613767 | + | 3.17140i | 0.0225931 | + | 0.116741i | ||||
\(739\) | −3.27745 | + | 6.13168i | −0.120563 | + | 0.225557i | −0.934962 | − | 0.354748i | \(-0.884567\pi\) |
0.814399 | + | 0.580305i | \(0.197067\pi\) | |||||||
\(740\) | 20.7503 | + | 31.7626i | 0.762797 | + | 1.16762i | ||||
\(741\) | −6.58262 | − | 5.40222i | −0.241819 | − | 0.198456i | ||||
\(742\) | −13.7881 | + | 44.6199i | −0.506178 | + | 1.63805i | ||||
\(743\) | −15.8039 | + | 3.14360i | −0.579791 | + | 0.115328i | −0.476269 | − | 0.879300i | \(-0.658011\pi\) |
−0.103522 | + | 0.994627i | \(0.533011\pi\) | |||||||
\(744\) | −15.7741 | + | 8.11879i | −0.578307 | + | 0.297649i | ||||
\(745\) | 6.93019 | − | 34.8404i | 0.253903 | − | 1.27645i | ||||
\(746\) | −4.47389 | − | 15.0283i | −0.163801 | − | 0.550224i | ||||
\(747\) | −15.9383 | − | 4.83484i | −0.583153 | − | 0.176897i | ||||
\(748\) | 1.99354 | + | 0.627363i | 0.0728911 | + | 0.0229387i | ||||
\(749\) | −36.1810 | + | 29.6930i | −1.32202 | + | 1.08496i | ||||
\(750\) | 6.45979 | + | 15.8267i | 0.235878 | + | 0.577911i | ||||
\(751\) | −2.36533 | − | 0.979754i | −0.0863123 | − | 0.0357517i | 0.339110 | − | 0.940747i | \(-0.389874\pi\) |
−0.425422 | + | 0.904995i | \(0.639874\pi\) | |||||||
\(752\) | −29.9943 | + | 11.7019i | −1.09378 | + | 0.426725i | ||||
\(753\) | −0.380023 | + | 0.157411i | −0.0138488 | + | 0.00573636i | ||||
\(754\) | −16.0689 | − | 16.2363i | −0.585196 | − | 0.591291i | ||||
\(755\) | 19.0538 | + | 1.87664i | 0.693439 | + | 0.0682978i | ||||
\(756\) | 6.30697 | + | 0.687236i | 0.229382 | + | 0.0249945i | ||||
\(757\) | 7.23578 | − | 3.86761i | 0.262989 | − | 0.140571i | −0.334633 | − | 0.942349i | \(-0.608612\pi\) |
0.597622 | + | 0.801778i | \(0.296112\pi\) | |||||||
\(758\) | −11.4022 | − | 1.18270i | −0.414147 | − | 0.0429575i | ||||
\(759\) | 2.94590 | − | 1.96839i | 0.106929 | − | 0.0714480i | ||||
\(760\) | 6.98408 | − | 1.27671i | 0.253339 | − | 0.0463113i | ||||
\(761\) | 3.83236 | − | 5.73554i | 0.138923 | − | 0.207913i | −0.755484 | − | 0.655167i | \(-0.772598\pi\) |
0.894407 | + | 0.447254i | \(0.147598\pi\) | |||||||
\(762\) | 28.2556 | − | 2.63520i | 1.02359 | − | 0.0954632i | ||||
\(763\) | 2.49954 | + | 25.3783i | 0.0904895 | + | 0.918755i | ||||
\(764\) | 5.38754 | − | 12.6348i | 0.194914 | − | 0.457110i | ||||
\(765\) | −0.690867 | − | 2.27748i | −0.0249784 | − | 0.0823426i | ||||
\(766\) | −2.30562 | + | 11.2852i | −0.0833053 | + | 0.407752i | ||||
\(767\) | −13.1609 | −0.475211 | ||||||||
\(768\) | −15.4903 | + | 4.00616i | −0.558960 | + | 0.144560i | ||||
\(769\) | −18.9685 | −0.684022 | −0.342011 | − | 0.939696i | \(-0.611108\pi\) | ||||
−0.342011 | + | 0.939696i | \(0.611108\pi\) | |||||||
\(770\) | 1.13994 | − | 5.57964i | 0.0410806 | − | 0.201076i | ||||
\(771\) | −5.83187 | − | 19.2251i | −0.210030 | − | 0.692375i | ||||
\(772\) | 9.57277 | − | 22.4499i | 0.344532 | − | 0.807990i | ||||
\(773\) | 0.702243 | + | 7.12999i | 0.0252579 | + | 0.256448i | 0.999519 | + | 0.0310238i | \(0.00987677\pi\) |
−0.974261 | + | 0.225424i | \(0.927623\pi\) | |||||||
\(774\) | −8.75776 | + | 0.816774i | −0.314791 | + | 0.0293583i | ||||
\(775\) | −7.34838 | + | 10.9976i | −0.263962 | + | 0.395047i | ||||
\(776\) | −1.54401 | − | 8.44631i | −0.0554269 | − | 0.303205i | ||||
\(777\) | 29.4255 | − | 19.6615i | 1.05563 | − | 0.705351i | ||||
\(778\) | 28.8025 | + | 2.98755i | 1.03262 | + | 0.107109i | ||||
\(779\) | 2.97378 | − | 1.58952i | 0.106547 | − | 0.0569504i | ||||
\(780\) | −19.5014 | − | 2.12496i | −0.698261 | − | 0.0760858i | ||||
\(781\) | −6.75613 | − | 0.665421i | −0.241753 | − | 0.0238106i | ||||
\(782\) | −6.60790 | − | 6.67673i | −0.236298 | − | 0.238759i | ||||
\(783\) | 2.58708 | − | 1.07160i | 0.0924545 | − | 0.0382959i | ||||
\(784\) | 4.92144 | − | 11.2181i | 0.175766 | − | 0.400646i | ||||
\(785\) | 21.5218 | + | 8.91462i | 0.768146 | + | 0.318176i | ||||
\(786\) | −0.131424 | − | 0.321994i | −0.00468774 | − | 0.0114851i | ||||
\(787\) | −21.6868 | + | 17.7979i | −0.773051 | + | 0.634427i | −0.935917 | − | 0.352222i | \(-0.885426\pi\) |
0.162866 | + | 0.986648i | \(0.447926\pi\) | |||||||
\(788\) | −49.2336 | − | 15.4937i | −1.75387 | − | 0.551940i | ||||
\(789\) | 24.5610 | + | 7.45050i | 0.874396 | + | 0.265245i | ||||
\(790\) | 6.04657 | + | 20.3111i | 0.215127 | + | 0.722637i | ||||
\(791\) | −2.03098 | + | 10.2104i | −0.0722133 | + | 0.363041i | ||||
\(792\) | 0.966354 | + | 1.87754i | 0.0343379 | + | 0.0667155i | ||||
\(793\) | 57.9434 | − | 11.5257i | 2.05763 | − | 0.409288i | ||||
\(794\) | −13.8361 | + | 44.7751i | −0.491025 | + | 1.58901i | ||||
\(795\) | 13.6833 | + | 11.2296i | 0.485298 | + | 0.398274i | ||||
\(796\) | 20.5530 | + | 31.4606i | 0.728482 | + | 1.11509i | ||||
\(797\) | 6.64055 | − | 12.4236i | 0.235220 | − | 0.440066i | −0.736422 | − | 0.676523i | \(-0.763486\pi\) |
0.971642 | + | 0.236457i | \(0.0759861\pi\) | |||||||
\(798\) | −1.25833 | − | 6.50194i | −0.0445445 | − | 0.230166i | ||||
\(799\) | 7.96629 | − | 7.96629i | 0.281827 | − | 0.281827i | ||||
\(800\) | −8.65062 | + | 8.21367i | −0.305846 | + | 0.290397i | ||||
\(801\) | 7.57376 | + | 7.57376i | 0.267606 | + | 0.267606i | ||||
\(802\) | −24.9362 | + | 36.9043i | −0.880527 | + | 1.30314i | ||||
\(803\) | −1.28411 | − | 0.686373i | −0.0453154 | − | 0.0242216i | ||||
\(804\) | 2.23829 | + | 11.8955i | 0.0789385 | + | 0.419523i | ||||
\(805\) | −16.2388 | + | 19.7870i | −0.572342 | + | 0.697401i | ||||
\(806\) | −23.8863 | − | 45.2506i | −0.841361 | − | 1.59388i | ||||
\(807\) | −0.0243729 | − | 0.122531i | −0.000857966 | − | 0.00431329i | ||||
\(808\) | −26.8286 | + | 7.68510i | −0.943825 | + | 0.270361i | ||||
\(809\) | −38.6184 | − | 7.68168i | −1.35775 | − | 0.270073i | −0.538073 | − | 0.842898i | \(-0.680848\pi\) |
−0.819678 | + | 0.572825i | \(0.805848\pi\) | |||||||
\(810\) | 1.14453 | − | 2.11484i | 0.0402148 | − | 0.0743080i | ||||
\(811\) | 0.234584 | − | 0.773321i | 0.00823737 | − | 0.0271550i | −0.952725 | − | 0.303833i | \(-0.901734\pi\) |
0.960963 | + | 0.276678i | \(0.0892335\pi\) | |||||||
\(812\) | −1.55804 | − | 17.6970i | −0.0546765 | − | 0.621045i | ||||
\(813\) | 12.5186 | + | 15.2540i | 0.439046 | + | 0.534980i | ||||
\(814\) | 10.8590 | + | 4.56399i | 0.380607 | + | 0.159968i | ||||
\(815\) | −2.65464 | + | 6.40887i | −0.0929881 | + | 0.224493i | ||||
\(816\) | 4.40052 | − | 3.46133i | 0.154049 | − | 0.121171i | ||||
\(817\) | 3.51364 | + | 8.48267i | 0.122927 | + | 0.296771i | ||||
\(818\) | 0.0897490 | − | 17.3232i | 0.00313800 | − | 0.605692i | ||||
\(819\) | −1.79354 | + | 18.2101i | −0.0626713 | + | 0.636313i | ||||
\(820\) | 3.73246 | − | 6.81221i | 0.130343 | − | 0.237893i | ||||
\(821\) | −9.98463 | − | 18.6799i | −0.348466 | − | 0.651934i | 0.645237 | − | 0.763983i | \(-0.276759\pi\) |
−0.993703 | + | 0.112049i | \(0.964259\pi\) | |||||||
\(822\) | 13.3018 | − | 10.8017i | 0.463953 | − | 0.376751i | ||||
\(823\) | 26.4923 | + | 39.6486i | 0.923465 | + | 1.38206i | 0.924136 | + | 0.382064i | \(0.124786\pi\) |
−0.000670818 | 1.00000i | \(0.500214\pi\) | ||||||||
\(824\) | −7.68312 | + | 17.7627i | −0.267654 | + | 0.618793i | ||||
\(825\) | 1.30901 | + | 0.874654i | 0.0455740 | + | 0.0304516i | ||||
\(826\) | −7.87820 | − | 6.53407i | −0.274118 | − | 0.227349i | ||||
\(827\) | −45.9654 | + | 4.52720i | −1.59837 | + | 0.157426i | −0.857596 | − | 0.514324i | \(-0.828043\pi\) |
−0.740778 | + | 0.671750i | \(0.765543\pi\) | |||||||
\(828\) | 0.0983439 | − | 9.49084i | 0.00341769 | − | 0.329829i | ||||
\(829\) | 28.0287 | − | 8.50241i | 0.973477 | − | 0.295301i | 0.236809 | − | 0.971556i | \(-0.423898\pi\) |
0.736667 | + | 0.676255i | \(0.236398\pi\) | |||||||
\(830\) | 22.0784 | + | 33.4162i | 0.766354 | + | 1.15989i | ||||
\(831\) | − | 15.9185i | − | 0.552208i | ||||||
\(832\) | −12.0169 | − | 44.5551i | −0.416610 | − | 1.54467i | ||||
\(833\) | 4.28655i | 0.148520i | ||||||||
\(834\) | −3.37696 | + | 2.23120i | −0.116935 | + | 0.0772600i | ||||
\(835\) | −0.986703 | + | 0.299313i | −0.0341463 | + | 0.0103582i | ||||
\(836\) | 1.57471 | − | 1.54241i | 0.0544625 | − | 0.0533454i | ||||
\(837\) | 6.24213 | − | 0.614796i | 0.215760 | − | 0.0212505i | ||||
\(838\) | 24.4491 | − | 29.4786i | 0.844582 | − | 1.01832i | ||||
\(839\) | −32.3748 | − | 21.6322i | −1.11770 | − | 0.746825i | −0.147486 | − | 0.989064i | \(-0.547118\pi\) |
−0.970217 | + | 0.242239i | \(0.922118\pi\) | |||||||
\(840\) | −10.6187 | − | 10.9540i | −0.366380 | − | 0.377949i | ||||
\(841\) | 11.7551 | + | 17.5928i | 0.405350 | + | 0.606649i | ||||
\(842\) | −21.8537 | − | 26.9119i | −0.753128 | − | 0.927446i | ||||
\(843\) | −9.17355 | − | 17.1625i | −0.315954 | − | 0.591108i | ||||
\(844\) | 3.76423 | + | 12.8883i | 0.129570 | + | 0.443632i | ||||
\(845\) | 3.37904 | − | 34.3080i | 0.116242 | − | 1.18023i | ||||
\(846\) | 11.3829 | + | 0.0589731i | 0.391352 | + | 0.00202754i | ||||
\(847\) | 12.6766 | + | 30.6040i | 0.435573 | + | 1.05157i | ||||
\(848\) | −12.9109 | + | 39.5891i | −0.443363 | + | 1.35950i | ||||
\(849\) | −12.4257 | + | 29.9982i | −0.426448 | + | 1.02954i | ||||
\(850\) | 1.61733 | − | 3.84807i | 0.0554739 | − | 0.131988i | ||||
\(851\) | −33.5877 | − | 40.9267i | −1.15137 | − | 1.40295i | ||||
\(852\) | −11.6825 | + | 13.9381i | −0.400235 | + | 0.477512i | ||||
\(853\) | 2.10871 | − | 6.95148i | 0.0722008 | − | 0.238014i | −0.913411 | − | 0.407038i | \(-0.866562\pi\) |
0.985612 | + | 0.169024i | \(0.0540616\pi\) | |||||||
\(854\) | 40.4077 | + | 21.8682i | 1.38272 | + | 0.748316i | ||||
\(855\) | −2.46193 | − | 0.489709i | −0.0841963 | − | 0.0167477i | ||||
\(856\) | −32.6681 | + | 25.9709i | −1.11657 | + | 0.887669i | ||||
\(857\) | 0.526039 | + | 2.64458i | 0.0179692 | + | 0.0903371i | 0.988729 | − | 0.149715i | \(-0.0478356\pi\) |
−0.970760 | + | 0.240052i | \(0.922836\pi\) | |||||||
\(858\) | −5.38603 | + | 2.84312i | −0.183876 | + | 0.0970624i | ||||
\(859\) | 25.7285 | − | 31.3503i | 0.877846 | − | 1.06966i | −0.119202 | − | 0.992870i | \(-0.538033\pi\) |
0.997047 | − | 0.0767882i | \(-0.0244665\pi\) | |||||||
\(860\) | 17.4638 | + | 11.9325i | 0.595509 | + | 0.406894i | ||||
\(861\) | −6.39004 | − | 3.41555i | −0.217772 | − | 0.116402i | ||||
\(862\) | 38.9516 | + | 26.3195i | 1.32670 | + | 0.896447i | ||||
\(863\) | −34.9933 | − | 34.9933i | −1.19118 | − | 1.19118i | −0.976735 | − | 0.214449i | \(-0.931204\pi\) |
−0.214449 | − | 0.976735i | \(-0.568796\pi\) | |||||||
\(864\) | 5.61336 | + | 0.700096i | 0.190971 | + | 0.0238178i | ||||
\(865\) | 9.40050 | − | 9.40050i | 0.319626 | − | 0.319626i | ||||
\(866\) | −0.414884 | + | 0.0802933i | −0.0140983 | + | 0.00272848i | ||||
\(867\) | 7.09024 | − | 13.2649i | 0.240797 | − | 0.450500i | ||||
\(868\) | 8.16732 | − | 38.9464i | 0.277217 | − | 1.32193i | ||||
\(869\) | 5.08596 | + | 4.17394i | 0.172530 | + | 0.141591i | ||||
\(870\) | −6.43351 | − | 1.98804i | −0.218116 | − | 0.0674009i | ||||
\(871\) | −34.2403 | + | 6.81082i | −1.16019 | + | 0.230776i | ||||
\(872\) | 1.87674 | + | 22.6603i | 0.0635546 | + | 0.767374i | ||||
\(873\) | −0.592237 | + | 2.97738i | −0.0200442 | + | 0.100769i | ||||
\(874\) | −9.49582 | + | 2.82689i | −0.321201 | + | 0.0956209i | ||||
\(875\) | −36.6923 | − | 11.1305i | −1.24043 | − | 0.376279i | ||||
\(876\) | −3.45888 | + | 1.80298i | −0.116865 | + | 0.0609171i | ||||
\(877\) | 12.9113 | − | 10.5961i | 0.435985 | − | 0.357804i | −0.390653 | − | 0.920538i | \(-0.627751\pi\) |
0.826638 | + | 0.562735i | \(0.190251\pi\) | |||||||
\(878\) | −10.3001 | + | 4.20404i | −0.347610 | + | 0.141879i | ||||
\(879\) | 2.17959 | + | 0.902816i | 0.0735157 | + | 0.0304512i | ||||
\(880\) | 1.09362 | − | 4.95865i | 0.0368659 | − | 0.167156i | ||||
\(881\) | 50.0013 | − | 20.7112i | 1.68459 | − | 0.697779i | 0.685059 | − | 0.728487i | \(-0.259776\pi\) |
0.999528 | + | 0.0307082i | \(0.00977627\pi\) | |||||||
\(882\) | −3.07836 | + | 3.04663i | −0.103654 | + | 0.102585i | ||||
\(883\) | 29.9009 | + | 2.94499i | 1.00625 | + | 0.0991067i | 0.587692 | − | 0.809085i | \(-0.300037\pi\) |
0.418555 | + | 0.908191i | \(0.362537\pi\) | |||||||
\(884\) | 10.1141 | + | 12.5879i | 0.340176 | + | 0.423376i | ||||
\(885\) | −3.42139 | + | 1.82877i | −0.115009 | + | 0.0614734i | ||||
\(886\) | 2.08765 | − | 20.1268i | 0.0701361 | − | 0.676172i | ||||
\(887\) | −38.7638 | + | 25.9012i | −1.30156 | + | 0.869676i | −0.996576 | − | 0.0826807i | \(-0.973652\pi\) |
−0.304986 | + | 0.952357i | \(0.598652\pi\) | |||||||
\(888\) | 26.5063 | − | 17.1211i | 0.889494 | − | 0.574548i | ||||
\(889\) | −35.3641 | + | 52.9261i | −1.18607 | + | 1.77508i | ||||
\(890\) | −2.39174 | − | 25.6451i | −0.0801713 | − | 0.859626i | ||||
\(891\) | −0.0731772 | − | 0.742981i | −0.00245153 | − | 0.0248908i | ||||
\(892\) | −12.8373 | − | 31.9236i | −0.429825 | − | 1.06888i | ||||
\(893\) | −3.44926 | − | 11.3707i | −0.115425 | − | 0.380506i | ||||
\(894\) | −28.9469 | − | 5.91396i | −0.968128 | − | 0.197792i | ||||
\(895\) | −15.8050 | −0.528302 | ||||||||
\(896\) | 14.9272 | − | 32.6371i | 0.498683 | − | 1.09033i | ||||
\(897\) | 27.3749 | 0.914022 | ||||||||
\(898\) | 2.79081 | + | 0.570173i | 0.0931306 | + | 0.0190269i | ||||
\(899\) | −5.09855 | − | 16.8077i | −0.170046 | − | 0.560567i | ||||
\(900\) | 3.91296 | − | 1.57350i | 0.130432 | − | 0.0524501i | ||||
\(901\) | −1.42821 | − | 14.5009i | −0.0475807 | − | 0.483095i | ||||
\(902\) | −0.223943 | − | 2.40120i | −0.00745649 | − | 0.0799512i | ||||
\(903\) | 10.9610 | − | 16.4043i | 0.364760 | − | 0.545902i | ||||
\(904\) | −1.95218 | + | 9.07481i | −0.0649287 | + | 0.301824i | ||||
\(905\) | 24.7203 | − | 16.5176i | 0.821731 | − | 0.549063i | ||||
\(906\) | 1.64290 | − | 15.8389i | 0.0545816 | − | 0.526213i | ||||
\(907\) | −26.6042 | + | 14.2203i | −0.883379 | + | 0.472176i | −0.849706 | − | 0.527257i | \(-0.823221\pi\) |
−0.0336734 | + | 0.999433i | \(0.510721\pi\) | |||||||
\(908\) | 28.8560 | − | 23.1853i | 0.957619 | − | 0.769432i | ||||
\(909\) | 9.81930 | + | 0.967117i | 0.325686 | + | 0.0320772i | ||||
\(910\) | 31.2745 | − | 30.9521i | 1.03674 | − | 1.02605i | ||||
\(911\) | 42.1245 | − | 17.4485i | 1.39565 | − | 0.578095i | 0.447028 | − | 0.894520i | \(-0.352482\pi\) |
0.948618 | + | 0.316425i | \(0.102482\pi\) | |||||||
\(912\) | −1.03175 | − | 5.81415i | −0.0341646 | − | 0.192526i | ||||
\(913\) | 11.4881 | + | 4.75851i | 0.380199 | + | 0.157484i | ||||
\(914\) | −9.15113 | + | 3.73509i | −0.302692 | + | 0.123546i | ||||
\(915\) | 13.4618 | − | 11.0478i | 0.445034 | − | 0.365230i | ||||
\(916\) | −16.3409 | − | 31.3488i | −0.539919 | − | 1.03579i | ||||
\(917\) | 0.746501 | + | 0.226449i | 0.0246516 | + | 0.00747799i | ||||
\(918\) | −1.89716 | + | 0.564780i | −0.0626155 | + | 0.0186405i | ||||
\(919\) | −3.65792 | + | 18.3896i | −0.120664 | + | 0.606617i | 0.872376 | + | 0.488836i | \(0.162578\pi\) |
−0.993040 | + | 0.117781i | \(0.962422\pi\) | |||||||
\(920\) | −14.7517 | + | 17.4158i | −0.486348 | + | 0.574182i | ||||
\(921\) | 1.41398 | − | 0.281258i | 0.0465921 | − | 0.00926775i | ||||
\(922\) | 23.5453 | + | 7.27580i | 0.775422 | + | 0.239616i | ||||
\(923\) | −40.5472 | − | 33.2762i | −1.33463 | − | 1.09530i | ||||
\(924\) | −4.63566 | − | 0.972129i | −0.152502 | − | 0.0319807i | ||||
\(925\) | 11.0901 | − | 20.7480i | 0.364639 | − | 0.682191i | ||||
\(926\) | 0.967935 | − | 0.187326i | 0.0318083 | − | 0.00615593i | ||||
\(927\) | 4.83828 | − | 4.83828i | 0.158910 | − | 0.158910i | ||||
\(928\) | −1.14381 | − | 15.7991i | −0.0375473 | − | 0.518632i | ||||
\(929\) | −2.55132 | − | 2.55132i | −0.0837062 | − | 0.0837062i | 0.664014 | − | 0.747720i | \(-0.268852\pi\) |
−0.747720 | + | 0.664014i | \(0.768852\pi\) | |||||||
\(930\) | −12.4975 | − | 8.44452i | −0.409808 | − | 0.276907i | ||||
\(931\) | 3.98721 | + | 2.13121i | 0.130676 | + | 0.0698476i | ||||
\(932\) | 22.1053 | − | 32.3522i | 0.724084 | − | 1.05973i | ||||
\(933\) | −2.28665 | + | 2.78629i | −0.0748615 | + | 0.0912189i | ||||
\(934\) | −11.6110 | + | 6.12906i | −0.379922 | + | 0.200549i | ||||
\(935\) | 0.346641 | + | 1.74268i | 0.0113364 | + | 0.0569918i | ||||
\(936\) | −1.85136 | + | 16.2101i | −0.0605134 | + | 0.529844i | ||||
\(937\) | −8.99125 | − | 1.78847i | −0.293731 | − | 0.0584268i | 0.0460250 | − | 0.998940i | \(-0.485345\pi\) |
−0.339756 | + | 0.940513i | \(0.610345\pi\) | |||||||
\(938\) | −23.8780 | − | 12.9225i | −0.779643 | − | 0.421936i | ||||
\(939\) | 0.635237 | − | 2.09409i | 0.0207302 | − | 0.0683382i | ||||
\(940\) | −20.9783 | − | 17.5833i | −0.684236 | − | 0.573505i | ||||
\(941\) | 5.57597 | + | 6.79434i | 0.181772 | + | 0.221489i | 0.855922 | − | 0.517105i | \(-0.172990\pi\) |
−0.674151 | + | 0.738594i | \(0.735490\pi\) | |||||||
\(942\) | 7.50701 | − | 17.8612i | 0.244592 | − | 0.581950i | ||||
\(943\) | −4.14818 | + | 10.0146i | −0.135083 | + | 0.326120i | ||||
\(944\) | −6.93315 | − | 5.93453i | −0.225655 | − | 0.193153i | ||||
\(945\) | 2.06413 | + | 4.98325i | 0.0671461 | + | 0.162105i | ||||
\(946\) | 6.56661 | + | 0.0340207i | 0.213499 | + | 0.00110611i | ||||
\(947\) | 3.64445 | − | 37.0027i | 0.118429 | − | 1.20243i | −0.733840 | − | 0.679322i | \(-0.762274\pi\) |
0.852269 | − | 0.523104i | \(-0.175226\pi\) | |||||||
\(948\) | 16.9188 | − | 4.94141i | 0.549496 | − | 0.160489i | ||||
\(949\) | −5.30324 | − | 9.92167i | −0.172151 | − | 0.322071i | ||||
\(950\) | −2.77524 | − | 3.41759i | −0.0900405 | − | 0.110881i | ||||
\(951\) | 3.53650 | + | 5.29275i | 0.114679 | + | 0.171629i | ||||
\(952\) | −0.195176 | + | 12.5566i | −0.00632570 | + | 0.406963i | ||||
\(953\) | −47.2402 | − | 31.5649i | −1.53026 | − | 1.02249i | −0.982589 | − | 0.185794i | \(-0.940514\pi\) |
−0.547671 | − | 0.836694i | \(-0.684486\pi\) | |||||||
\(954\) | 9.39863 | − | 11.3320i | 0.304292 | − | 0.366888i | ||||
\(955\) | 11.6215 | − | 1.14461i | 0.376062 | − | 0.0370388i | ||||
\(956\) | −4.42544 | − | 4.51811i | −0.143129 | − | 0.146126i | ||||
\(957\) | −2.00056 | + | 0.606864i | −0.0646690 | + | 0.0196171i | ||||
\(958\) | −43.2991 | + | 28.6082i | −1.39893 | + | 0.924289i | ||||
\(959\) | 38.4350i | 1.24113i | ||||||||
\(960\) | −9.31515 | − | 9.91304i | −0.300645 | − | 0.319942i | ||||
\(961\) | − | 8.34214i | − | 0.269101i | ||||||
\(962\) | 50.1702 | + | 75.9337i | 1.61755 | + | 2.44820i | ||||
\(963\) | 14.1197 | − | 4.28317i | 0.455002 | − | 0.138023i | ||||
\(964\) | 29.7873 | + | 0.308655i | 0.959383 | + | 0.00994111i | ||||
\(965\) | 20.6494 | − | 2.03379i | 0.664728 | − | 0.0654700i | ||||
\(966\) | 16.3869 | + | 13.5910i | 0.527239 | + | 0.437284i | ||||
\(967\) | 41.9893 | + | 28.0563i | 1.35028 | + | 0.902231i | 0.999415 | − | 0.0341932i | \(-0.0108861\pi\) |
0.350869 | + | 0.936424i | \(0.385886\pi\) | |||||||
\(968\) | 10.8775 | + | 27.4603i | 0.349618 | + | 0.882606i | ||||
\(969\) | 1.14796 | + | 1.71804i | 0.0368776 | + | 0.0551913i | ||||
\(970\) | 5.66683 | − | 4.60172i | 0.181951 | − | 0.147752i | ||||
\(971\) | 10.5224 | + | 19.6860i | 0.337680 | + | 0.631754i | 0.992251 | − | 0.124246i | \(-0.0396511\pi\) |
−0.654572 | + | 0.756000i | \(0.727151\pi\) | |||||||
\(972\) | −1.75398 | − | 0.961019i | −0.0562589 | − | 0.0308247i | ||||
\(973\) | 0.889868 | − | 9.03498i | 0.0285279 | − | 0.289648i | ||||
\(974\) | 0.0132781 | − | 2.56292i | 0.000425457 | − | 0.0821211i | ||||
\(975\) | 4.65499 | + | 11.2381i | 0.149079 | + | 0.359908i | ||||
\(976\) | 35.7218 | + | 20.0563i | 1.14343 | + | 0.641986i | ||||
\(977\) | −8.63608 | + | 20.8493i | −0.276293 | + | 0.667029i | −0.999727 | − | 0.0233638i | \(-0.992562\pi\) |
0.723434 | + | 0.690393i | \(0.242562\pi\) | |||||||
\(978\) | 5.31881 | + | 2.23548i | 0.170077 | + | 0.0714827i | ||||
\(979\) | −5.07293 | − | 6.18139i | −0.162132 | − | 0.197558i | ||||
\(980\) | 10.3748 | − | 0.913389i | 0.331409 | − | 0.0291771i | ||||
\(981\) | 2.33361 | − | 7.69289i | 0.0745065 | − | 0.245615i | ||||
\(982\) | −17.3555 | + | 32.0690i | −0.553835 | + | 1.02336i | ||||
\(983\) | 23.4584 | + | 4.66617i | 0.748208 | + | 0.148828i | 0.554445 | − | 0.832221i | \(-0.312931\pi\) |
0.193763 | + | 0.981048i | \(0.437931\pi\) | |||||||
\(984\) | −5.64962 | − | 3.13364i | −0.180103 | − | 0.0998967i | ||||
\(985\) | −8.56084 | − | 43.0382i | −0.272771 | − | 1.37131i | ||||
\(986\) | 2.58754 | + | 4.90186i | 0.0824040 | + | 0.156107i | ||||
\(987\) | −16.1978 | + | 19.7371i | −0.515582 | + | 0.628238i | ||||
\(988\) | 16.7374 | − | 3.14936i | 0.532488 | − | 0.100194i | ||||
\(989\) | −26.0307 | − | 13.9137i | −0.827729 | − | 0.442430i | ||||
\(990\) | −1.00512 | + | 1.48753i | −0.0319449 | + | 0.0472769i | ||||
\(991\) | −23.2593 | − | 23.2593i | −0.738855 | − | 0.738855i | 0.233502 | − | 0.972356i | \(-0.424982\pi\) |
−0.972356 | + | 0.233502i | \(0.924982\pi\) | |||||||
\(992\) | 7.82116 | − | 34.6089i | 0.248322 | − | 1.09883i | ||||
\(993\) | 24.5659 | − | 24.5659i | 0.779574 | − | 0.779574i | ||||
\(994\) | −7.75100 | − | 40.0502i | −0.245847 | − | 1.27032i | ||||
\(995\) | −15.0608 | + | 28.1767i | −0.477459 | + | 0.893263i | ||||
\(996\) | 27.8873 | − | 18.2186i | 0.883644 | − | 0.577279i | ||||
\(997\) | −17.5575 | − | 14.4090i | −0.556050 | − | 0.456339i | 0.313915 | − | 0.949451i | \(-0.398359\pi\) |
−0.869966 | + | 0.493112i | \(0.835859\pi\) | |||||||
\(998\) | −4.42845 | + | 14.3309i | −0.140180 | + | 0.453638i | ||||
\(999\) | −10.9420 | + | 2.17650i | −0.346190 | + | 0.0688615i |
(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 | 384.2.v.a.13.14 | ✓ | 512 | |
128.69 | even | 32 | inner | 384.2.v.a.325.14 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.13.14 | ✓ | 512 | 1.1 | even | 1 | trivial | |
384.2.v.a.325.14 | yes | 512 | 128.69 | even | 32 | inner |