Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(4,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.y (of order \(15\), degree \(8\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Character | \(\chi\) | \(=\) | 231.25 |
Dual form | 231.2.y.a.37.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.122947 | − | 0.0547397i | −0.0869370 | − | 0.0387068i | 0.362807 | − | 0.931864i | \(-0.381818\pi\) |
−0.449744 | + | 0.893157i | \(0.648485\pi\) | |||||||
\(3\) | 0.978148 | + | 0.207912i | 0.564734 | + | 0.120038i | ||||
\(4\) | −1.32614 | − | 1.47283i | −0.663071 | − | 0.736415i | ||||
\(5\) | −0.379677 | + | 3.61238i | −0.169797 | + | 1.61551i | 0.495281 | + | 0.868733i | \(0.335065\pi\) |
−0.665078 | + | 0.746774i | \(0.731602\pi\) | |||||||
\(6\) | −0.108880 | − | 0.0791057i | −0.0444500 | − | 0.0322948i | ||||
\(7\) | 2.62556 | − | 0.326267i | 0.992367 | − | 0.123317i | ||||
\(8\) | 0.165600 | + | 0.509665i | 0.0585485 | + | 0.180194i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | 0.244421 | − | 0.423350i | 0.0772928 | − | 0.133875i | ||||
\(11\) | 1.11989 | + | 3.12183i | 0.337660 | + | 0.941268i | ||||
\(12\) | −0.990944 | − | 1.71636i | −0.286061 | − | 0.495472i | ||||
\(13\) | 1.43254 | − | 1.04080i | 0.397314 | − | 0.288666i | −0.371132 | − | 0.928580i | \(-0.621030\pi\) |
0.768446 | + | 0.639914i | \(0.221030\pi\) | |||||||
\(14\) | −0.340665 | − | 0.103609i | −0.0910466 | − | 0.0276906i | ||||
\(15\) | −1.12244 | + | 3.45451i | −0.289812 | + | 0.891949i | ||||
\(16\) | −0.406789 | + | 3.87033i | −0.101697 | + | 0.967584i | ||||
\(17\) | 4.11308 | − | 1.83126i | 0.997569 | − | 0.444146i | 0.158023 | − | 0.987435i | \(-0.449488\pi\) |
0.839546 | + | 0.543289i | \(0.182821\pi\) | |||||||
\(18\) | −0.0900534 | − | 0.100014i | −0.0212258 | − | 0.0235736i | ||||
\(19\) | −1.11652 | + | 1.24002i | −0.256148 | + | 0.284481i | −0.857479 | − | 0.514519i | \(-0.827971\pi\) |
0.601331 | + | 0.799000i | \(0.294637\pi\) | |||||||
\(20\) | 5.82393 | − | 4.23133i | 1.30227 | − | 0.946155i | ||||
\(21\) | 2.63602 | + | 0.226747i | 0.575226 | + | 0.0494803i | ||||
\(22\) | 0.0332004 | − | 0.445124i | 0.00707835 | − | 0.0949007i | ||||
\(23\) | −3.47623 | − | 6.02100i | −0.724844 | − | 1.25547i | −0.959038 | − | 0.283276i | \(-0.908579\pi\) |
0.234195 | − | 0.972190i | \(-0.424755\pi\) | |||||||
\(24\) | 0.0560161 | + | 0.532958i | 0.0114342 | + | 0.108790i | ||||
\(25\) | −8.01442 | − | 1.70352i | −1.60288 | − | 0.340704i | ||||
\(26\) | −0.233100 | + | 0.0495469i | −0.0457146 | + | 0.00971694i | ||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | −3.96240 | − | 3.43432i | −0.748822 | − | 0.649026i | ||||
\(29\) | −1.96811 | + | 6.05722i | −0.365469 | + | 1.12480i | 0.584219 | + | 0.811596i | \(0.301401\pi\) |
−0.949687 | + | 0.313200i | \(0.898599\pi\) | |||||||
\(30\) | 0.327099 | − | 0.363281i | 0.0597199 | − | 0.0663257i | ||||
\(31\) | −0.564968 | − | 5.37531i | −0.101471 | − | 0.965435i | −0.920251 | − | 0.391328i | \(-0.872016\pi\) |
0.818780 | − | 0.574107i | \(-0.194651\pi\) | |||||||
\(32\) | 0.797768 | − | 1.38177i | 0.141027 | − | 0.244266i | ||||
\(33\) | 0.446354 | + | 3.28645i | 0.0777003 | + | 0.572098i | ||||
\(34\) | −0.605936 | −0.103917 | ||||||||
\(35\) | 0.181737 | + | 9.60840i | 0.0307191 | + | 1.62412i | ||||
\(36\) | −0.612437 | − | 1.88489i | −0.102073 | − | 0.314148i | ||||
\(37\) | 3.73643 | − | 0.794203i | 0.614265 | − | 0.130566i | 0.109736 | − | 0.993961i | \(-0.464999\pi\) |
0.504529 | + | 0.863395i | \(0.331666\pi\) | |||||||
\(38\) | 0.205152 | − | 0.0913397i | 0.0332801 | − | 0.0148173i | ||||
\(39\) | 1.61763 | − | 0.720214i | 0.259028 | − | 0.115326i | ||||
\(40\) | −1.90398 | + | 0.404703i | −0.301046 | + | 0.0639892i | ||||
\(41\) | −0.887838 | − | 2.73248i | −0.138657 | − | 0.426742i | 0.857484 | − | 0.514511i | \(-0.172026\pi\) |
−0.996141 | + | 0.0877685i | \(0.972026\pi\) | |||||||
\(42\) | −0.311679 | − | 0.172173i | −0.0480932 | − | 0.0265668i | ||||
\(43\) | −12.7655 | −1.94673 | −0.973364 | − | 0.229265i | \(-0.926368\pi\) | ||||
−0.973364 | + | 0.229265i | \(0.926368\pi\) | |||||||
\(44\) | 3.11279 | − | 5.78940i | 0.469271 | − | 0.872785i | ||||
\(45\) | −1.81614 | + | 3.14565i | −0.270734 | + | 0.468926i | ||||
\(46\) | 0.0978052 | + | 0.930555i | 0.0144206 | + | 0.137203i | ||||
\(47\) | 1.41482 | − | 1.57132i | 0.206373 | − | 0.229201i | −0.631069 | − | 0.775727i | \(-0.717383\pi\) |
0.837442 | + | 0.546526i | \(0.184050\pi\) | |||||||
\(48\) | −1.20259 | + | 3.70118i | −0.173578 | + | 0.534220i | ||||
\(49\) | 6.78710 | − | 1.71326i | 0.969586 | − | 0.244752i | ||||
\(50\) | 0.892103 | + | 0.648151i | 0.126162 | + | 0.0916623i | ||||
\(51\) | 4.40394 | − | 0.936087i | 0.616675 | − | 0.131078i | ||||
\(52\) | −3.43267 | − | 0.729636i | −0.476025 | − | 0.101182i | ||||
\(53\) | 0.448242 | + | 4.26474i | 0.0615708 | + | 0.585807i | 0.981197 | + | 0.193011i | \(0.0618254\pi\) |
−0.919626 | + | 0.392796i | \(0.871508\pi\) | |||||||
\(54\) | −0.0672914 | − | 0.116552i | −0.00915719 | − | 0.0158607i | ||||
\(55\) | −11.7025 | + | 2.86019i | −1.57796 | + | 0.385668i | ||||
\(56\) | 0.601079 | + | 1.28412i | 0.0803226 | + | 0.171598i | ||||
\(57\) | −1.34994 | + | 0.980789i | −0.178804 | + | 0.129909i | ||||
\(58\) | 0.573544 | − | 0.636985i | 0.0753100 | − | 0.0836403i | ||||
\(59\) | −6.68573 | − | 7.42526i | −0.870408 | − | 0.966686i | 0.129281 | − | 0.991608i | \(-0.458733\pi\) |
−0.999689 | + | 0.0249218i | \(0.992066\pi\) | |||||||
\(60\) | 6.57641 | − | 2.92801i | 0.849011 | − | 0.378004i | ||||
\(61\) | 0.463599 | − | 4.41085i | 0.0593578 | − | 0.564752i | −0.923913 | − | 0.382602i | \(-0.875028\pi\) |
0.983271 | − | 0.182149i | \(-0.0583054\pi\) | |||||||
\(62\) | −0.224782 | + | 0.691807i | −0.0285473 | + | 0.0878596i | ||||
\(63\) | 2.53127 | + | 0.769851i | 0.318910 | + | 0.0969921i | ||||
\(64\) | 6.12311 | − | 4.44870i | 0.765388 | − | 0.556087i | ||||
\(65\) | 3.21586 | + | 5.57004i | 0.398879 | + | 0.690878i | ||||
\(66\) | 0.125021 | − | 0.428494i | 0.0153891 | − | 0.0527440i | ||||
\(67\) | 3.68510 | − | 6.38277i | 0.450206 | − | 0.779780i | −0.548192 | − | 0.836352i | \(-0.684684\pi\) |
0.998399 | + | 0.0565723i | \(0.0180171\pi\) | |||||||
\(68\) | −8.15167 | − | 3.62936i | −0.988535 | − | 0.440124i | ||||
\(69\) | −2.14843 | − | 6.61218i | −0.258640 | − | 0.796013i | ||||
\(70\) | 0.503617 | − | 1.19128i | 0.0601937 | − | 0.142385i | ||||
\(71\) | −6.91873 | − | 5.02675i | −0.821102 | − | 0.596566i | 0.0959258 | − | 0.995388i | \(-0.469419\pi\) |
−0.917028 | + | 0.398823i | \(0.869419\pi\) | |||||||
\(72\) | −0.0560161 | + | 0.532958i | −0.00660156 | + | 0.0628096i | ||||
\(73\) | −7.92455 | − | 8.80110i | −0.927498 | − | 1.03009i | −0.999466 | − | 0.0326840i | \(-0.989595\pi\) |
0.0719677 | − | 0.997407i | \(-0.477072\pi\) | |||||||
\(74\) | −0.502859 | − | 0.106886i | −0.0584562 | − | 0.0124252i | ||||
\(75\) | −7.48511 | − | 3.33258i | −0.864306 | − | 0.384814i | ||||
\(76\) | 3.30701 | 0.379340 | ||||||||
\(77\) | 3.95889 | + | 7.83117i | 0.451157 | + | 0.892444i | ||||
\(78\) | −0.238307 | −0.0269830 | ||||||||
\(79\) | 11.2348 | + | 5.00207i | 1.26402 | + | 0.562777i | 0.925701 | − | 0.378255i | \(-0.123476\pi\) |
0.338316 | + | 0.941032i | \(0.390143\pi\) | |||||||
\(80\) | −13.8267 | − | 2.93895i | −1.54587 | − | 0.328585i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | −0.0404180 | + | 0.384552i | −0.00446342 | + | 0.0424666i | ||||
\(83\) | 7.26750 | + | 5.28015i | 0.797712 | + | 0.579572i | 0.910242 | − | 0.414077i | \(-0.135896\pi\) |
−0.112530 | + | 0.993648i | \(0.535896\pi\) | |||||||
\(84\) | −3.16177 | − | 4.18310i | −0.344978 | − | 0.456414i | ||||
\(85\) | 5.05358 | + | 15.5533i | 0.548138 | + | 1.68699i | ||||
\(86\) | 1.56949 | + | 0.698783i | 0.169243 | + | 0.0753517i | ||||
\(87\) | −3.18447 | + | 5.51566i | −0.341411 | + | 0.591341i | ||||
\(88\) | −1.40563 | + | 1.08775i | −0.149841 | + | 0.115954i | ||||
\(89\) | −0.907843 | − | 1.57243i | −0.0962312 | − | 0.166677i | 0.813891 | − | 0.581018i | \(-0.197345\pi\) |
−0.910122 | + | 0.414341i | \(0.864012\pi\) | |||||||
\(90\) | 0.395482 | − | 0.287334i | 0.0416874 | − | 0.0302877i | ||||
\(91\) | 3.42163 | − | 3.20007i | 0.358684 | − | 0.335458i | ||||
\(92\) | −4.25794 | + | 13.1046i | −0.443921 | + | 1.36625i | ||||
\(93\) | 0.564968 | − | 5.37531i | 0.0585845 | − | 0.557394i | ||||
\(94\) | −0.259962 | + | 0.115743i | −0.0268131 | + | 0.0119380i | ||||
\(95\) | −4.05553 | − | 4.50412i | −0.416088 | − | 0.462113i | ||||
\(96\) | 1.06762 | − | 1.18571i | 0.108964 | − | 0.121016i | ||||
\(97\) | −6.22158 | + | 4.52024i | −0.631706 | + | 0.458961i | −0.856991 | − | 0.515332i | \(-0.827669\pi\) |
0.225285 | + | 0.974293i | \(0.427669\pi\) | |||||||
\(98\) | −0.928240 | − | 0.160883i | −0.0937664 | − | 0.0162516i | ||||
\(99\) | −0.246691 | + | 3.30744i | −0.0247934 | + | 0.332410i | ||||
\(100\) | 8.11927 | + | 14.0630i | 0.811927 | + | 1.40630i | ||||
\(101\) | 0.675179 | + | 6.42390i | 0.0671828 | + | 0.639202i | 0.975361 | + | 0.220617i | \(0.0708071\pi\) |
−0.908178 | + | 0.418585i | \(0.862526\pi\) | |||||||
\(102\) | −0.592694 | − | 0.125981i | −0.0586855 | − | 0.0124740i | ||||
\(103\) | 16.8298 | − | 3.57727i | 1.65828 | − | 0.352479i | 0.718839 | − | 0.695177i | \(-0.244674\pi\) |
0.939446 | + | 0.342697i | \(0.111341\pi\) | |||||||
\(104\) | 0.767687 | + | 0.557757i | 0.0752779 | + | 0.0546926i | ||||
\(105\) | −1.81993 | + | 9.43621i | −0.177607 | + | 0.920880i | ||||
\(106\) | 0.178340 | − | 0.548876i | 0.0173220 | − | 0.0533115i | ||||
\(107\) | 3.56362 | − | 3.95781i | 0.344509 | − | 0.382615i | −0.545844 | − | 0.837887i | \(-0.683791\pi\) |
0.890353 | + | 0.455271i | \(0.150458\pi\) | |||||||
\(108\) | −0.207164 | − | 1.97103i | −0.0199343 | − | 0.189662i | ||||
\(109\) | −2.73834 | + | 4.74295i | −0.262286 | + | 0.454292i | −0.966849 | − | 0.255349i | \(-0.917810\pi\) |
0.704563 | + | 0.709641i | \(0.251143\pi\) | |||||||
\(110\) | 1.59535 | + | 0.288936i | 0.152111 | + | 0.0275489i | ||||
\(111\) | 3.81990 | 0.362569 | ||||||||
\(112\) | 0.194714 | + | 10.2945i | 0.0183987 | + | 0.972739i | ||||
\(113\) | −2.78632 | − | 8.57541i | −0.262115 | − | 0.806707i | −0.992344 | − | 0.123505i | \(-0.960587\pi\) |
0.730229 | − | 0.683202i | \(-0.239413\pi\) | |||||||
\(114\) | 0.219660 | − | 0.0466901i | 0.0205730 | − | 0.00437293i | ||||
\(115\) | 23.0700 | − | 10.2714i | 2.15129 | − | 0.957816i | ||||
\(116\) | 11.5312 | − | 5.13404i | 1.07065 | − | 0.476683i | ||||
\(117\) | 1.73202 | − | 0.368152i | 0.160125 | − | 0.0340357i | ||||
\(118\) | 0.415537 | + | 1.27889i | 0.0382533 | + | 0.117731i | ||||
\(119\) | 10.2017 | − | 6.15004i | 0.935184 | − | 0.563774i | ||||
\(120\) | −1.94652 | −0.177692 | ||||||||
\(121\) | −8.49168 | + | 6.99223i | −0.771971 | + | 0.635658i | ||||
\(122\) | −0.298447 | + | 0.516925i | −0.0270201 | + | 0.0468002i | ||||
\(123\) | −0.300321 | − | 2.85736i | −0.0270790 | − | 0.257640i | ||||
\(124\) | −7.16769 | + | 7.96053i | −0.643678 | + | 0.714876i | ||||
\(125\) | 3.58447 | − | 11.0319i | 0.320605 | − | 0.986720i | ||||
\(126\) | −0.269072 | − | 0.233212i | −0.0239708 | − | 0.0207762i | ||||
\(127\) | 16.4807 | + | 11.9739i | 1.46242 | + | 1.06251i | 0.982723 | + | 0.185081i | \(0.0592546\pi\) |
0.479700 | + | 0.877432i | \(0.340745\pi\) | |||||||
\(128\) | −4.11768 | + | 0.875240i | −0.363955 | + | 0.0773610i | ||||
\(129\) | −12.4866 | − | 2.65411i | −1.09938 | − | 0.233681i | ||||
\(130\) | −0.0904798 | − | 0.860857i | −0.00793560 | − | 0.0755022i | ||||
\(131\) | 4.14559 | + | 7.18037i | 0.362202 | + | 0.627352i | 0.988323 | − | 0.152374i | \(-0.0486918\pi\) |
−0.626121 | + | 0.779726i | \(0.715358\pi\) | |||||||
\(132\) | 4.24845 | − | 5.01570i | 0.369780 | − | 0.436561i | ||||
\(133\) | −2.52692 | + | 3.62004i | −0.219111 | + | 0.313897i | ||||
\(134\) | −0.802464 | + | 0.583025i | −0.0693224 | + | 0.0503656i | ||||
\(135\) | −2.43047 | + | 2.69931i | −0.209182 | + | 0.232320i | ||||
\(136\) | 1.61446 | + | 1.79304i | 0.138439 | + | 0.153752i | ||||
\(137\) | 1.41088 | − | 0.628162i | 0.120539 | − | 0.0536675i | −0.345581 | − | 0.938389i | \(-0.612318\pi\) |
0.466120 | + | 0.884721i | \(0.345651\pi\) | |||||||
\(138\) | −0.0978052 | + | 0.930555i | −0.00832573 | + | 0.0792141i | ||||
\(139\) | 3.46582 | − | 10.6667i | 0.293967 | − | 0.904737i | −0.689600 | − | 0.724191i | \(-0.742214\pi\) |
0.983567 | − | 0.180546i | \(-0.0577865\pi\) | |||||||
\(140\) | 13.9105 | − | 13.0098i | 1.17565 | − | 1.09953i | ||||
\(141\) | 1.71060 | − | 1.24282i | 0.144059 | − | 0.104665i | ||||
\(142\) | 0.575477 | + | 0.996755i | 0.0482930 | + | 0.0836459i | ||||
\(143\) | 4.85349 | + | 3.30656i | 0.405869 | + | 0.276508i | ||||
\(144\) | −1.94583 | + | 3.37027i | −0.162152 | + | 0.280856i | ||||
\(145\) | −21.1337 | − | 9.40935i | −1.75506 | − | 0.781404i | ||||
\(146\) | 0.492533 | + | 1.51586i | 0.0407623 | + | 0.125453i | ||||
\(147\) | 6.99499 | − | 0.264706i | 0.576937 | − | 0.0218326i | ||||
\(148\) | −6.12476 | − | 4.44990i | −0.503452 | − | 0.365779i | ||||
\(149\) | −0.535390 | + | 5.09390i | −0.0438609 | + | 0.417308i | 0.950457 | + | 0.310856i | \(0.100616\pi\) |
−0.994318 | + | 0.106452i | \(0.966051\pi\) | |||||||
\(150\) | 0.737850 | + | 0.819465i | 0.0602452 | + | 0.0669091i | ||||
\(151\) | 2.78499 | + | 0.591968i | 0.226639 | + | 0.0481737i | 0.319831 | − | 0.947474i | \(-0.396374\pi\) |
−0.0931920 | + | 0.995648i | \(0.529707\pi\) | |||||||
\(152\) | −0.816893 | − | 0.363704i | −0.0662588 | − | 0.0295003i | ||||
\(153\) | 4.50233 | 0.363992 | ||||||||
\(154\) | −0.0580595 | − | 1.17953i | −0.00467857 | − | 0.0950493i | ||||
\(155\) | 19.6322 | 1.57690 | ||||||||
\(156\) | −3.20595 | − | 1.42738i | −0.256682 | − | 0.114282i | ||||
\(157\) | 5.99007 | + | 1.27323i | 0.478059 | + | 0.101615i | 0.440638 | − | 0.897685i | \(-0.354752\pi\) |
0.0374215 | + | 0.999300i | \(0.488086\pi\) | |||||||
\(158\) | −1.10748 | − | 1.22998i | −0.0881065 | − | 0.0978522i | ||||
\(159\) | −0.448242 | + | 4.26474i | −0.0355479 | + | 0.338216i | ||||
\(160\) | 4.68861 | + | 3.40647i | 0.370667 | + | 0.269305i | ||||
\(161\) | −11.0915 | − | 14.6743i | −0.874132 | − | 1.15650i | ||||
\(162\) | −0.0415883 | − | 0.127996i | −0.00326749 | − | 0.0100563i | ||||
\(163\) | −14.4921 | − | 6.45229i | −1.13511 | − | 0.505382i | −0.248835 | − | 0.968546i | \(-0.580048\pi\) |
−0.886273 | + | 0.463164i | \(0.846714\pi\) | |||||||
\(164\) | −2.84708 | + | 4.93129i | −0.222320 | + | 0.385069i | ||||
\(165\) | −12.0414 | + | 0.364614i | −0.937421 | + | 0.0283851i | ||||
\(166\) | −0.604487 | − | 1.04700i | −0.0469173 | − | 0.0812631i | ||||
\(167\) | −7.95253 | + | 5.77785i | −0.615385 | + | 0.447103i | −0.851306 | − | 0.524669i | \(-0.824189\pi\) |
0.235921 | + | 0.971772i | \(0.424189\pi\) | |||||||
\(168\) | 0.320960 | + | 1.38103i | 0.0247626 | + | 0.106549i | ||||
\(169\) | −3.04832 | + | 9.38177i | −0.234486 | + | 0.721675i | ||||
\(170\) | 0.230060 | − | 2.18887i | 0.0176448 | − | 0.167879i | ||||
\(171\) | −1.52436 | + | 0.678688i | −0.116571 | + | 0.0519006i | ||||
\(172\) | 16.9289 | + | 18.8015i | 1.29082 | + | 1.43360i | ||||
\(173\) | −6.79674 | + | 7.54854i | −0.516746 | + | 0.573905i | −0.943882 | − | 0.330282i | \(-0.892856\pi\) |
0.427136 | + | 0.904188i | \(0.359523\pi\) | |||||||
\(174\) | 0.693448 | − | 0.503819i | 0.0525701 | − | 0.0381944i | ||||
\(175\) | −21.5981 | − | 1.85785i | −1.63267 | − | 0.140440i | ||||
\(176\) | −12.5381 | + | 3.06443i | −0.945095 | + | 0.230990i | ||||
\(177\) | −4.99583 | − | 8.65304i | −0.375510 | − | 0.650402i | ||||
\(178\) | 0.0255426 | + | 0.243021i | 0.00191450 | + | 0.0182152i | ||||
\(179\) | −23.3401 | − | 4.96109i | −1.74452 | − | 0.370809i | −0.778172 | − | 0.628051i | \(-0.783853\pi\) |
−0.966347 | + | 0.257242i | \(0.917186\pi\) | |||||||
\(180\) | 7.04146 | − | 1.49671i | 0.524840 | − | 0.111558i | ||||
\(181\) | −4.22971 | − | 3.07306i | −0.314392 | − | 0.228419i | 0.419387 | − | 0.907808i | \(-0.362245\pi\) |
−0.733779 | + | 0.679389i | \(0.762245\pi\) | |||||||
\(182\) | −0.595851 | + | 0.206141i | −0.0441674 | + | 0.0152802i | ||||
\(183\) | 1.37054 | − | 4.21808i | 0.101313 | − | 0.311809i | ||||
\(184\) | 2.49303 | − | 2.76879i | 0.183789 | − | 0.204118i | ||||
\(185\) | 1.45033 | + | 13.7990i | 0.106630 | + | 1.01452i | ||||
\(186\) | −0.363704 | + | 0.629955i | −0.0266681 | + | 0.0461905i | ||||
\(187\) | 10.3231 | + | 10.7895i | 0.754900 | + | 0.789009i | ||||
\(188\) | −4.19054 | −0.305627 | ||||||||
\(189\) | 2.31589 | + | 1.27931i | 0.168457 | + | 0.0930560i | ||||
\(190\) | 0.252062 | + | 0.775768i | 0.0182865 | + | 0.0562801i | ||||
\(191\) | −12.5254 | + | 2.66235i | −0.906304 | + | 0.192641i | −0.637406 | − | 0.770528i | \(-0.719993\pi\) |
−0.268898 | + | 0.963169i | \(0.586659\pi\) | |||||||
\(192\) | 6.91424 | − | 3.07842i | 0.498992 | − | 0.222166i | ||||
\(193\) | −6.99560 | + | 3.11464i | −0.503554 | + | 0.224197i | −0.642761 | − | 0.766066i | \(-0.722211\pi\) |
0.139207 | + | 0.990263i | \(0.455545\pi\) | |||||||
\(194\) | 1.01236 | − | 0.215185i | 0.0726835 | − | 0.0154494i | ||||
\(195\) | 1.98751 | + | 6.11694i | 0.142329 | + | 0.438043i | ||||
\(196\) | −11.5240 | − | 7.72421i | −0.823143 | − | 0.551729i | ||||
\(197\) | −5.11991 | −0.364778 | −0.182389 | − | 0.983226i | \(-0.558383\pi\) | ||||
−0.182389 | + | 0.983226i | \(0.558383\pi\) | |||||||
\(198\) | 0.211378 | − | 0.393137i | 0.0150220 | − | 0.0279390i | ||||
\(199\) | 6.85465 | − | 11.8726i | 0.485913 | − | 0.841626i | −0.513956 | − | 0.857817i | \(-0.671820\pi\) |
0.999869 | + | 0.0161905i | \(0.00515383\pi\) | |||||||
\(200\) | −0.458966 | − | 4.36677i | −0.0324538 | − | 0.308777i | ||||
\(201\) | 4.93162 | − | 5.47712i | 0.347850 | − | 0.386326i | ||||
\(202\) | 0.268631 | − | 0.826761i | 0.0189008 | − | 0.0581707i | ||||
\(203\) | −3.19111 | + | 16.5457i | −0.223972 | + | 1.16128i | ||||
\(204\) | −7.21895 | − | 5.24487i | −0.505427 | − | 0.367214i | ||||
\(205\) | 10.2079 | − | 2.16975i | 0.712949 | − | 0.151542i | ||||
\(206\) | −2.26499 | − | 0.481439i | −0.157810 | − | 0.0335435i | ||||
\(207\) | −0.726730 | − | 6.91437i | −0.0505112 | − | 0.480582i | ||||
\(208\) | 3.44550 | + | 5.96778i | 0.238902 | + | 0.413791i | ||||
\(209\) | −5.12154 | − | 2.09690i | −0.354264 | − | 0.145046i | ||||
\(210\) | 0.740292 | − | 1.06054i | 0.0510850 | − | 0.0731839i | ||||
\(211\) | 2.03761 | − | 1.48041i | 0.140275 | − | 0.101916i | −0.515435 | − | 0.856929i | \(-0.672370\pi\) |
0.655710 | + | 0.755013i | \(0.272370\pi\) | |||||||
\(212\) | 5.68680 | − | 6.31583i | 0.390571 | − | 0.433773i | ||||
\(213\) | −5.72242 | − | 6.35539i | −0.392094 | − | 0.435464i | ||||
\(214\) | −0.654788 | + | 0.291530i | −0.0447604 | + | 0.0199286i | ||||
\(215\) | 4.84678 | − | 46.1141i | 0.330548 | − | 3.14495i | ||||
\(216\) | −0.165600 | + | 0.509665i | −0.0112677 | + | 0.0346783i | ||||
\(217\) | −3.23714 | − | 13.9289i | −0.219751 | − | 0.945553i | ||||
\(218\) | 0.596300 | − | 0.433237i | 0.0403865 | − | 0.0293425i | ||||
\(219\) | −5.92152 | − | 10.2564i | −0.400140 | − | 0.693062i | ||||
\(220\) | 19.7317 | + | 13.4427i | 1.33031 | + | 0.906307i | ||||
\(221\) | 3.98617 | − | 6.90424i | 0.268138 | − | 0.464429i | ||||
\(222\) | −0.469647 | − | 0.209100i | −0.0315207 | − | 0.0140339i | ||||
\(223\) | −4.13016 | − | 12.7113i | −0.276576 | − | 0.851214i | −0.988798 | − | 0.149260i | \(-0.952311\pi\) |
0.712222 | − | 0.701955i | \(-0.247689\pi\) | |||||||
\(224\) | 1.64376 | − | 3.88821i | 0.109828 | − | 0.259792i | ||||
\(225\) | −6.62866 | − | 4.81600i | −0.441910 | − | 0.321067i | ||||
\(226\) | −0.126845 | + | 1.20685i | −0.00843759 | + | 0.0802783i | ||||
\(227\) | 2.11618 | + | 2.35025i | 0.140456 | + | 0.155992i | 0.809268 | − | 0.587439i | \(-0.199864\pi\) |
−0.668813 | + | 0.743431i | \(0.733197\pi\) | |||||||
\(228\) | 3.23475 | + | 0.687567i | 0.214226 | + | 0.0455352i | ||||
\(229\) | 4.87343 | + | 2.16979i | 0.322046 | + | 0.143384i | 0.561391 | − | 0.827550i | \(-0.310266\pi\) |
−0.239346 | + | 0.970934i | \(0.576933\pi\) | |||||||
\(230\) | −3.39865 | −0.224101 | ||||||||
\(231\) | 2.24419 | + | 8.48314i | 0.147657 | + | 0.558149i | ||||
\(232\) | −3.41307 | −0.224079 | ||||||||
\(233\) | 17.8566 | + | 7.95027i | 1.16982 | + | 0.520839i | 0.897348 | − | 0.441323i | \(-0.145491\pi\) |
0.272476 | + | 0.962163i | \(0.412157\pi\) | |||||||
\(234\) | −0.233100 | − | 0.0495469i | −0.0152382 | − | 0.00323898i | ||||
\(235\) | 5.13904 | + | 5.70748i | 0.335234 | + | 0.372315i | ||||
\(236\) | −2.06991 | + | 19.6939i | −0.134740 | + | 1.28196i | ||||
\(237\) | 9.94934 | + | 7.22862i | 0.646279 | + | 0.469549i | ||||
\(238\) | −1.59092 | + | 0.197697i | −0.103124 | + | 0.0128148i | ||||
\(239\) | −1.87223 | − | 5.76213i | −0.121104 | − | 0.372721i | 0.872067 | − | 0.489387i | \(-0.162779\pi\) |
−0.993171 | + | 0.116666i | \(0.962779\pi\) | |||||||
\(240\) | −12.9135 | − | 5.74946i | −0.833563 | − | 0.371126i | ||||
\(241\) | 10.3827 | − | 17.9834i | 0.668809 | − | 1.15841i | −0.309428 | − | 0.950923i | \(-0.600138\pi\) |
0.978237 | − | 0.207488i | \(-0.0665290\pi\) | |||||||
\(242\) | 1.42678 | − | 0.394845i | 0.0917171 | − | 0.0253816i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −7.11123 | + | 5.16661i | −0.455250 | + | 0.330758i | ||||
\(245\) | 3.61206 | + | 25.1681i | 0.230766 | + | 1.60793i | ||||
\(246\) | −0.119488 | + | 0.367745i | −0.00761825 | + | 0.0234466i | ||||
\(247\) | −0.308844 | + | 2.93846i | −0.0196513 | + | 0.186970i | ||||
\(248\) | 2.64605 | − | 1.17810i | 0.168024 | − | 0.0748092i | ||||
\(249\) | 6.01088 | + | 6.67576i | 0.380924 | + | 0.423059i | ||||
\(250\) | −1.04458 | + | 1.16013i | −0.0660652 | + | 0.0733728i | ||||
\(251\) | −5.82856 | + | 4.23469i | −0.367895 | + | 0.267291i | −0.756338 | − | 0.654182i | \(-0.773013\pi\) |
0.388442 | + | 0.921473i | \(0.373013\pi\) | |||||||
\(252\) | −2.22296 | − | 4.74906i | −0.140034 | − | 0.299163i | ||||
\(253\) | 14.9036 | − | 17.5951i | 0.936979 | − | 1.10619i | ||||
\(254\) | −1.37081 | − | 2.37431i | −0.0860122 | − | 0.148977i | ||||
\(255\) | 1.70943 | + | 16.2641i | 0.107049 | + | 1.01850i | ||||
\(256\) | −14.2522 | − | 3.02940i | −0.890762 | − | 0.189337i | ||||
\(257\) | −5.89467 | + | 1.25295i | −0.367699 | + | 0.0781569i | −0.388056 | − | 0.921636i | \(-0.626853\pi\) |
0.0203565 | + | 0.999793i | \(0.493520\pi\) | |||||||
\(258\) | 1.38991 | + | 1.00983i | 0.0865320 | + | 0.0628692i | ||||
\(259\) | 9.55109 | − | 3.30430i | 0.593476 | − | 0.205319i | ||||
\(260\) | 3.93903 | − | 12.1231i | 0.244288 | − | 0.751841i | ||||
\(261\) | −4.26165 | + | 4.73304i | −0.263789 | + | 0.292968i | ||||
\(262\) | −0.116638 | − | 1.10974i | −0.00720592 | − | 0.0685598i | ||||
\(263\) | 3.32270 | − | 5.75508i | 0.204886 | − | 0.354873i | −0.745210 | − | 0.666830i | \(-0.767651\pi\) |
0.950096 | + | 0.311956i | \(0.100984\pi\) | |||||||
\(264\) | −1.60107 | + | 0.771728i | −0.0985392 | + | 0.0474966i | ||||
\(265\) | −15.5761 | −0.956830 | ||||||||
\(266\) | 0.508838 | − | 0.306752i | 0.0311989 | − | 0.0188082i | ||||
\(267\) | −0.561078 | − | 1.72682i | −0.0343374 | − | 0.105680i | ||||
\(268\) | −14.2877 | + | 3.03694i | −0.872760 | + | 0.185511i | ||||
\(269\) | −18.0463 | + | 8.03471i | −1.10030 | + | 0.489885i | −0.874862 | − | 0.484373i | \(-0.839048\pi\) |
−0.225438 | + | 0.974258i | \(0.572381\pi\) | |||||||
\(270\) | 0.446580 | − | 0.198830i | 0.0271780 | − | 0.0121004i | ||||
\(271\) | −0.285780 | + | 0.0607445i | −0.0173599 | + | 0.00368997i | −0.216583 | − | 0.976264i | \(-0.569491\pi\) |
0.199224 | + | 0.979954i | \(0.436158\pi\) | |||||||
\(272\) | 5.41444 | + | 16.6639i | 0.328299 | + | 1.01040i | ||||
\(273\) | 4.01219 | − | 2.41874i | 0.242829 | − | 0.146389i | ||||
\(274\) | −0.207849 | −0.0125566 | ||||||||
\(275\) | −3.65719 | − | 26.9274i | −0.220537 | − | 1.62379i | ||||
\(276\) | −6.88949 | + | 11.9330i | −0.414699 | + | 0.718279i | ||||
\(277\) | 1.86674 | + | 17.7609i | 0.112162 | + | 1.06715i | 0.895350 | + | 0.445363i | \(0.146925\pi\) |
−0.783188 | + | 0.621785i | \(0.786408\pi\) | |||||||
\(278\) | −1.01000 | + | 1.12172i | −0.0605761 | + | 0.0672765i | ||||
\(279\) | 1.67021 | − | 5.14039i | 0.0999930 | − | 0.307747i | ||||
\(280\) | −4.86696 | + | 1.68378i | −0.290857 | + | 0.100625i | ||||
\(281\) | −12.8119 | − | 9.30839i | −0.764294 | − | 0.555292i | 0.135930 | − | 0.990718i | \(-0.456598\pi\) |
−0.900224 | + | 0.435426i | \(0.856598\pi\) | |||||||
\(282\) | −0.278346 | + | 0.0591643i | −0.0165753 | + | 0.00352318i | ||||
\(283\) | −15.3847 | − | 3.27012i | −0.914525 | − | 0.194388i | −0.273468 | − | 0.961881i | \(-0.588171\pi\) |
−0.641057 | + | 0.767493i | \(0.721504\pi\) | |||||||
\(284\) | 1.77167 | + | 16.8563i | 0.105129 | + | 1.00024i | ||||
\(285\) | −3.03044 | − | 5.24888i | −0.179508 | − | 0.310917i | ||||
\(286\) | −0.415724 | − | 0.672211i | −0.0245823 | − | 0.0397487i | ||||
\(287\) | −3.22259 | − | 6.88462i | −0.190223 | − | 0.406386i | ||||
\(288\) | 1.29082 | − | 0.937832i | 0.0760620 | − | 0.0552623i | ||||
\(289\) | 2.18870 | − | 2.43080i | 0.128747 | − | 0.142988i | ||||
\(290\) | 2.08327 | + | 2.31371i | 0.122334 | + | 0.135866i | ||||
\(291\) | −7.02544 | + | 3.12793i | −0.411838 | + | 0.183362i | ||||
\(292\) | −2.45345 | + | 23.3430i | −0.143577 | + | 1.36605i | ||||
\(293\) | −0.400843 | + | 1.23367i | −0.0234175 | + | 0.0720717i | −0.962082 | − | 0.272759i | \(-0.912064\pi\) |
0.938665 | + | 0.344831i | \(0.112064\pi\) | |||||||
\(294\) | −0.874506 | − | 0.350359i | −0.0510022 | − | 0.0204334i | ||||
\(295\) | 29.3613 | − | 21.3322i | 1.70948 | − | 1.24201i | ||||
\(296\) | 1.02353 | + | 1.77281i | 0.0594915 | + | 0.103042i | ||||
\(297\) | −0.928955 | + | 3.18387i | −0.0539035 | + | 0.184747i | ||||
\(298\) | 0.344663 | − | 0.596974i | 0.0199658 | − | 0.0345818i | ||||
\(299\) | −11.2465 | − | 5.00725i | −0.650401 | − | 0.289577i | ||||
\(300\) | 5.01798 | + | 15.4438i | 0.289713 | + | 0.891646i | ||||
\(301\) | −33.5167 | + | 4.16497i | −1.93187 | + | 0.240065i | ||||
\(302\) | −0.310003 | − | 0.225231i | −0.0178387 | − | 0.0129606i | ||||
\(303\) | −0.675179 | + | 6.42390i | −0.0387880 | + | 0.369043i | ||||
\(304\) | −4.34512 | − | 4.82575i | −0.249210 | − | 0.276775i | ||||
\(305\) | 15.7577 | + | 3.34940i | 0.902281 | + | 0.191786i | ||||
\(306\) | −0.553550 | − | 0.246456i | −0.0316443 | − | 0.0140890i | ||||
\(307\) | 15.2964 | 0.873012 | 0.436506 | − | 0.899701i | \(-0.356216\pi\) | ||||
0.436506 | + | 0.899701i | \(0.356216\pi\) | |||||||
\(308\) | 6.28392 | − | 16.2160i | 0.358060 | − | 0.923993i | ||||
\(309\) | 17.2057 | 0.978800 | ||||||||
\(310\) | −2.41373 | − | 1.07466i | −0.137091 | − | 0.0610366i | ||||
\(311\) | 25.9181 | + | 5.50906i | 1.46968 | + | 0.312390i | 0.872064 | − | 0.489392i | \(-0.162781\pi\) |
0.597616 | + | 0.801782i | \(0.296115\pi\) | |||||||
\(312\) | 0.634947 | + | 0.705180i | 0.0359468 | + | 0.0399229i | ||||
\(313\) | −0.837596 | + | 7.96920i | −0.0473437 | + | 0.450446i | 0.945012 | + | 0.327036i | \(0.106050\pi\) |
−0.992356 | + | 0.123410i | \(0.960617\pi\) | |||||||
\(314\) | −0.666767 | − | 0.484435i | −0.0376279 | − | 0.0273382i | ||||
\(315\) | −3.74206 | + | 8.85163i | −0.210841 | + | 0.498733i | ||||
\(316\) | −7.53178 | − | 23.1804i | −0.423696 | − | 1.30400i | ||||
\(317\) | 10.7319 | + | 4.77813i | 0.602762 | + | 0.268367i | 0.685346 | − | 0.728217i | \(-0.259651\pi\) |
−0.0825847 | + | 0.996584i | \(0.526318\pi\) | |||||||
\(318\) | 0.288561 | − | 0.499802i | 0.0161817 | − | 0.0280275i | ||||
\(319\) | −21.1137 | + | 0.639323i | −1.18214 | + | 0.0357952i | ||||
\(320\) | 13.7456 | + | 23.8081i | 0.768402 | + | 1.33091i | ||||
\(321\) | 4.30862 | − | 3.13040i | 0.240484 | − | 0.174722i | ||||
\(322\) | 0.560402 | + | 2.41131i | 0.0312300 | + | 0.134377i | ||||
\(323\) | −2.32154 | + | 7.14497i | −0.129174 | + | 0.397557i | ||||
\(324\) | 0.207164 | − | 1.97103i | 0.0115091 | − | 0.109502i | ||||
\(325\) | −13.2540 | + | 5.90105i | −0.735198 | + | 0.327331i | ||||
\(326\) | 1.42857 | + | 1.58658i | 0.0791210 | + | 0.0878728i | ||||
\(327\) | −3.66462 | + | 4.06997i | −0.202654 | + | 0.225070i | ||||
\(328\) | 1.24562 | − | 0.904999i | 0.0687781 | − | 0.0499702i | ||||
\(329\) | 3.20203 | − | 4.58720i | 0.176534 | − | 0.252901i | ||||
\(330\) | 1.50042 | + | 0.614314i | 0.0825953 | + | 0.0338169i | ||||
\(331\) | −5.04652 | − | 8.74082i | −0.277382 | − | 0.480439i | 0.693352 | − | 0.720599i | \(-0.256133\pi\) |
−0.970733 | + | 0.240160i | \(0.922800\pi\) | |||||||
\(332\) | −1.86098 | − | 17.7060i | −0.102134 | − | 0.971744i | ||||
\(333\) | 3.73643 | + | 0.794203i | 0.204755 | + | 0.0435220i | ||||
\(334\) | 1.29402 | − | 0.275053i | 0.0708057 | − | 0.0150502i | ||||
\(335\) | 21.6579 | + | 15.7354i | 1.18330 | + | 0.859715i | ||||
\(336\) | −1.94989 | + | 10.1100i | −0.106375 | + | 0.551547i | ||||
\(337\) | −8.35918 | + | 25.7269i | −0.455354 | + | 1.40143i | 0.415366 | + | 0.909655i | \(0.363654\pi\) |
−0.870719 | + | 0.491780i | \(0.836346\pi\) | |||||||
\(338\) | 0.888339 | − | 0.986600i | 0.0483193 | − | 0.0536640i | ||||
\(339\) | −0.942504 | − | 8.96733i | −0.0511898 | − | 0.487038i | ||||
\(340\) | 16.2056 | − | 28.0690i | 0.878873 | − | 1.52225i | ||||
\(341\) | 16.1481 | − | 7.78351i | 0.874470 | − | 0.421501i | ||||
\(342\) | 0.224567 | 0.0121432 | ||||||||
\(343\) | 17.2609 | − | 6.71267i | 0.932003 | − | 0.362450i | ||||
\(344\) | −2.11398 | − | 6.50615i | −0.113978 | − | 0.350788i | ||||
\(345\) | 24.7014 | − | 5.25045i | 1.32988 | − | 0.282675i | ||||
\(346\) | 1.24885 | − | 0.556022i | 0.0671384 | − | 0.0298919i | ||||
\(347\) | −4.07065 | + | 1.81237i | −0.218524 | + | 0.0972932i | −0.513079 | − | 0.858341i | \(-0.671495\pi\) |
0.294555 | + | 0.955635i | \(0.404829\pi\) | |||||||
\(348\) | 12.3467 | − | 2.62437i | 0.661851 | − | 0.140681i | ||||
\(349\) | −1.96611 | − | 6.05107i | −0.105244 | − | 0.323906i | 0.884544 | − | 0.466457i | \(-0.154470\pi\) |
−0.989788 | + | 0.142550i | \(0.954470\pi\) | |||||||
\(350\) | 2.55374 | + | 1.41069i | 0.136503 | + | 0.0754047i | ||||
\(351\) | 1.77071 | 0.0945137 | ||||||||
\(352\) | 5.20708 | + | 0.943059i | 0.277538 | + | 0.0502652i | ||||
\(353\) | −5.98019 | + | 10.3580i | −0.318294 | + | 0.551301i | −0.980132 | − | 0.198346i | \(-0.936443\pi\) |
0.661838 | + | 0.749646i | \(0.269776\pi\) | |||||||
\(354\) | 0.140560 | + | 1.33734i | 0.00747068 | + | 0.0710788i | ||||
\(355\) | 20.7854 | − | 23.0846i | 1.10318 | − | 1.22520i | ||||
\(356\) | −1.11199 | + | 3.42236i | −0.0589355 | + | 0.181385i | ||||
\(357\) | 11.2574 | − | 3.89461i | 0.595804 | − | 0.206125i | ||||
\(358\) | 2.59803 | + | 1.88758i | 0.137310 | + | 0.0997618i | ||||
\(359\) | −35.5433 | + | 7.55497i | −1.87591 | + | 0.398736i | −0.996941 | − | 0.0781523i | \(-0.975098\pi\) |
−0.878964 | + | 0.476888i | \(0.841765\pi\) | |||||||
\(360\) | −1.90398 | − | 0.404703i | −0.100349 | − | 0.0213297i | ||||
\(361\) | 1.69500 | + | 16.1269i | 0.0892107 | + | 0.848783i | ||||
\(362\) | 0.351813 | + | 0.609358i | 0.0184909 | + | 0.0320272i | ||||
\(363\) | −9.75989 | + | 5.07392i | −0.512261 | + | 0.266312i | ||||
\(364\) | −9.25072 | − | 0.795736i | −0.484869 | − | 0.0417079i | ||||
\(365\) | 34.8017 | − | 25.2849i | 1.82161 | − | 1.32347i | ||||
\(366\) | −0.399400 | + | 0.443579i | −0.0208770 | + | 0.0231862i | ||||
\(367\) | 8.48556 | + | 9.42416i | 0.442942 | + | 0.491937i | 0.922730 | − | 0.385447i | \(-0.125953\pi\) |
−0.479787 | + | 0.877385i | \(0.659286\pi\) | |||||||
\(368\) | 24.7174 | − | 11.0049i | 1.28848 | − | 0.573669i | ||||
\(369\) | 0.300321 | − | 2.85736i | 0.0156341 | − | 0.148748i | ||||
\(370\) | 0.577037 | − | 1.77594i | 0.0299987 | − | 0.0923266i | ||||
\(371\) | 2.56833 | + | 11.0511i | 0.133341 | + | 0.573743i | ||||
\(372\) | −8.66615 | + | 6.29632i | −0.449319 | + | 0.326449i | ||||
\(373\) | 18.5608 | + | 32.1483i | 0.961042 | + | 1.66457i | 0.719893 | + | 0.694085i | \(0.244191\pi\) |
0.241149 | + | 0.970488i | \(0.422476\pi\) | |||||||
\(374\) | −0.678583 | − | 1.89163i | −0.0350887 | − | 0.0978138i | ||||
\(375\) | 5.79979 | − | 10.0455i | 0.299500 | − | 0.518749i | ||||
\(376\) | 1.03514 | + | 0.460875i | 0.0533833 | + | 0.0237678i | ||||
\(377\) | 3.48495 | + | 10.7256i | 0.179484 | + | 0.552396i | ||||
\(378\) | −0.214704 | − | 0.284059i | −0.0110432 | − | 0.0146104i | ||||
\(379\) | −4.33612 | − | 3.15038i | −0.222732 | − | 0.161824i | 0.470824 | − | 0.882227i | \(-0.343957\pi\) |
−0.693555 | + | 0.720403i | \(0.743957\pi\) | |||||||
\(380\) | −1.25560 | + | 11.9462i | −0.0644107 | + | 0.612827i | ||||
\(381\) | 13.6310 | + | 15.1388i | 0.698338 | + | 0.775583i | ||||
\(382\) | 1.68570 | + | 0.358306i | 0.0862478 | + | 0.0183325i | ||||
\(383\) | 31.6207 | + | 14.0784i | 1.61574 | + | 0.719375i | 0.997765 | − | 0.0668217i | \(-0.0212859\pi\) |
0.617977 | + | 0.786196i | \(0.287953\pi\) | |||||||
\(384\) | −4.20967 | −0.214824 | ||||||||
\(385\) | −29.7923 | + | 11.3277i | −1.51836 | + | 0.577314i | ||||
\(386\) | 1.03059 | 0.0524554 | ||||||||
\(387\) | −11.6619 | − | 5.19222i | −0.592808 | − | 0.263935i | ||||
\(388\) | 14.9082 | + | 3.16885i | 0.756852 | + | 0.160874i | ||||
\(389\) | −14.3327 | − | 15.9181i | −0.726696 | − | 0.807078i | 0.260688 | − | 0.965423i | \(-0.416051\pi\) |
−0.987384 | + | 0.158346i | \(0.949384\pi\) | |||||||
\(390\) | 0.0904798 | − | 0.860857i | 0.00458162 | − | 0.0435912i | ||||
\(391\) | −25.3240 | − | 18.3990i | −1.28069 | − | 0.930477i | ||||
\(392\) | 1.99713 | + | 3.17543i | 0.100871 | + | 0.160383i | ||||
\(393\) | 2.56211 | + | 7.88538i | 0.129242 | + | 0.397765i | ||||
\(394\) | 0.629480 | + | 0.280262i | 0.0317127 | + | 0.0141194i | ||||
\(395\) | −22.3350 | + | 38.6854i | −1.12380 | + | 1.94647i | ||||
\(396\) | 5.19844 | − | 4.02280i | 0.261231 | − | 0.202153i | ||||
\(397\) | −4.19484 | − | 7.26567i | −0.210533 | − | 0.364653i | 0.741349 | − | 0.671120i | \(-0.234187\pi\) |
−0.951881 | + | 0.306467i | \(0.900853\pi\) | |||||||
\(398\) | −1.49266 | + | 1.08448i | −0.0748205 | + | 0.0543603i | ||||
\(399\) | −3.22435 | + | 3.01556i | −0.161419 | + | 0.150967i | ||||
\(400\) | 9.85336 | − | 30.3255i | 0.492668 | − | 1.51628i | ||||
\(401\) | −0.689454 | + | 6.55972i | −0.0344297 | + | 0.327577i | 0.963727 | + | 0.266889i | \(0.0859959\pi\) |
−0.998157 | + | 0.0606871i | \(0.980671\pi\) | |||||||
\(402\) | −0.906146 | + | 0.403442i | −0.0451945 | + | 0.0201219i | ||||
\(403\) | −6.40396 | − | 7.11231i | −0.319004 | − | 0.354290i | ||||
\(404\) | 8.56592 | − | 9.51342i | 0.426171 | − | 0.473311i | ||||
\(405\) | −2.93858 | + | 2.13500i | −0.146019 | + | 0.106089i | ||||
\(406\) | 1.29805 | − | 1.85957i | 0.0644209 | − | 0.0922889i | ||||
\(407\) | 6.66377 | + | 10.7751i | 0.330311 | + | 0.534101i | ||||
\(408\) | 1.20638 | + | 2.08952i | 0.0597249 | + | 0.103447i | ||||
\(409\) | −0.730370 | − | 6.94900i | −0.0361145 | − | 0.343606i | −0.997627 | − | 0.0688461i | \(-0.978068\pi\) |
0.961513 | − | 0.274760i | \(-0.0885984\pi\) | |||||||
\(410\) | −1.37380 | − | 0.292011i | −0.0678473 | − | 0.0144214i | ||||
\(411\) | 1.51065 | − | 0.321098i | 0.0745147 | − | 0.0158386i | ||||
\(412\) | −27.5874 | − | 20.0434i | −1.35913 | − | 0.987467i | ||||
\(413\) | −19.9764 | − | 17.3141i | −0.982974 | − | 0.851971i | ||||
\(414\) | −0.289141 | + | 0.889885i | −0.0142105 | + | 0.0437355i | ||||
\(415\) | −21.8332 | + | 24.2482i | −1.07175 | + | 1.19030i | ||||
\(416\) | −0.295318 | − | 2.80976i | −0.0144791 | − | 0.137760i | ||||
\(417\) | 5.60781 | − | 9.71301i | 0.274616 | − | 0.475648i | ||||
\(418\) | 0.514896 | + | 0.538160i | 0.0251844 | + | 0.0263223i | ||||
\(419\) | −18.2877 | −0.893412 | −0.446706 | − | 0.894681i | \(-0.647403\pi\) | ||||
−0.446706 | + | 0.894681i | \(0.647403\pi\) | |||||||
\(420\) | 16.3114 | − | 9.83331i | 0.795916 | − | 0.479816i | ||||
\(421\) | 5.11386 | + | 15.7388i | 0.249234 | + | 0.767064i | 0.994911 | + | 0.100756i | \(0.0321262\pi\) |
−0.745677 | + | 0.666308i | \(0.767874\pi\) | |||||||
\(422\) | −0.331556 | + | 0.0704745i | −0.0161399 | + | 0.00343064i | ||||
\(423\) | 1.93162 | − | 0.860012i | 0.0939185 | − | 0.0418152i | ||||
\(424\) | −2.09936 | + | 0.934695i | −0.101954 | + | 0.0453928i | ||||
\(425\) | −36.0836 | + | 7.66980i | −1.75031 | + | 0.372040i | ||||
\(426\) | 0.355664 | + | 1.09462i | 0.0172320 | + | 0.0530346i | ||||
\(427\) | −0.221907 | − | 11.7322i | −0.0107388 | − | 0.567761i | ||||
\(428\) | −10.5550 | −0.510197 | ||||||||
\(429\) | 4.05995 | + | 4.24340i | 0.196016 | + | 0.204873i | ||||
\(430\) | −3.12017 | + | 5.40429i | −0.150468 | + | 0.260618i | ||||
\(431\) | 2.81180 | + | 26.7525i | 0.135440 | + | 1.28862i | 0.825306 | + | 0.564685i | \(0.191002\pi\) |
−0.689867 | + | 0.723936i | \(0.742331\pi\) | |||||||
\(432\) | −2.60402 | + | 2.89206i | −0.125286 | + | 0.139144i | ||||
\(433\) | −8.20422 | + | 25.2500i | −0.394269 | + | 1.21344i | 0.535260 | + | 0.844688i | \(0.320214\pi\) |
−0.929529 | + | 0.368749i | \(0.879786\pi\) | |||||||
\(434\) | −0.364464 | + | 1.88972i | −0.0174948 | + | 0.0907094i | ||||
\(435\) | −18.7156 | − | 13.5977i | −0.897345 | − | 0.651959i | ||||
\(436\) | 10.6170 | − | 2.25671i | 0.508461 | − | 0.108077i | ||||
\(437\) | 11.3475 | + | 2.41198i | 0.542824 | + | 0.115381i | ||||
\(438\) | 0.166605 | + | 1.58514i | 0.00796068 | + | 0.0757408i | ||||
\(439\) | 4.49707 | + | 7.78916i | 0.214634 | + | 0.371756i | 0.953159 | − | 0.302469i | \(-0.0978110\pi\) |
−0.738526 | + | 0.674225i | \(0.764478\pi\) | |||||||
\(440\) | −3.39567 | − | 5.49068i | −0.161882 | − | 0.261758i | ||||
\(441\) | 6.89717 | + | 1.19542i | 0.328437 | + | 0.0569247i | ||||
\(442\) | −0.868025 | + | 0.630657i | −0.0412877 | + | 0.0299973i | ||||
\(443\) | −10.9089 | + | 12.1155i | −0.518296 | + | 0.575626i | −0.944296 | − | 0.329097i | \(-0.893256\pi\) |
0.426000 | + | 0.904723i | \(0.359922\pi\) | |||||||
\(444\) | −5.06573 | − | 5.62607i | −0.240409 | − | 0.267001i | ||||
\(445\) | 6.02491 | − | 2.68246i | 0.285608 | − | 0.127161i | ||||
\(446\) | −0.188022 | + | 1.78891i | −0.00890310 | + | 0.0847074i | ||||
\(447\) | −1.58277 | + | 4.87127i | −0.0748625 | + | 0.230403i | ||||
\(448\) | 14.6251 | − | 13.6781i | 0.690971 | − | 0.646228i | ||||
\(449\) | −0.786378 | + | 0.571337i | −0.0371115 | + | 0.0269631i | −0.606186 | − | 0.795323i | \(-0.707301\pi\) |
0.569075 | + | 0.822286i | \(0.307301\pi\) | |||||||
\(450\) | 0.551350 | + | 0.954966i | 0.0259909 | + | 0.0450175i | ||||
\(451\) | 7.53607 | − | 5.83177i | 0.354860 | − | 0.274607i | ||||
\(452\) | −8.93507 | + | 15.4760i | −0.420270 | + | 0.727929i | ||||
\(453\) | 2.60106 | + | 1.15806i | 0.122208 | + | 0.0544106i | ||||
\(454\) | −0.131526 | − | 0.404796i | −0.00617283 | − | 0.0189980i | ||||
\(455\) | 10.2608 | + | 13.5752i | 0.481031 | + | 0.636416i | ||||
\(456\) | −0.723424 | − | 0.525598i | −0.0338774 | − | 0.0246134i | ||||
\(457\) | 0.274824 | − | 2.61478i | 0.0128557 | − | 0.122314i | −0.986212 | − | 0.165488i | \(-0.947080\pi\) |
0.999068 | + | 0.0431736i | \(0.0137468\pi\) | |||||||
\(458\) | −0.480402 | − | 0.533541i | −0.0224477 | − | 0.0249307i | ||||
\(459\) | 4.40394 | + | 0.936087i | 0.205558 | + | 0.0436928i | ||||
\(460\) | −45.7222 | − | 20.3568i | −2.13181 | − | 0.949142i | ||||
\(461\) | 40.9007 | 1.90494 | 0.952469 | − | 0.304637i | \(-0.0985351\pi\) | ||||
0.952469 | + | 0.304637i | \(0.0985351\pi\) | |||||||
\(462\) | 0.188447 | − | 1.16583i | 0.00876737 | − | 0.0542391i | ||||
\(463\) | −14.1587 | −0.658009 | −0.329004 | − | 0.944328i | \(-0.606713\pi\) | ||||
−0.329004 | + | 0.944328i | \(0.606713\pi\) | |||||||
\(464\) | −22.6428 | − | 10.0812i | −1.05117 | − | 0.468010i | ||||
\(465\) | 19.2032 | + | 4.08176i | 0.890526 | + | 0.189287i | ||||
\(466\) | −1.76023 | − | 1.95493i | −0.0815409 | − | 0.0905604i | ||||
\(467\) | 2.92612 | − | 27.8402i | 0.135405 | − | 1.28829i | −0.690025 | − | 0.723786i | \(-0.742400\pi\) |
0.825430 | − | 0.564505i | \(-0.190933\pi\) | |||||||
\(468\) | −2.83913 | − | 2.06275i | −0.131239 | − | 0.0953505i | ||||
\(469\) | 7.59295 | − | 17.9607i | 0.350610 | − | 0.829346i | ||||
\(470\) | −0.319406 | − | 0.983029i | −0.0147331 | − | 0.0453438i | ||||
\(471\) | 5.59445 | + | 2.49081i | 0.257779 | + | 0.114770i | ||||
\(472\) | 2.67723 | − | 4.63711i | 0.123230 | − | 0.213440i | ||||
\(473\) | −14.2960 | − | 39.8519i | −0.657333 | − | 1.83239i | ||||
\(474\) | −0.827553 | − | 1.43336i | −0.0380108 | − | 0.0658366i | ||||
\(475\) | 11.0607 | − | 8.03606i | 0.507499 | − | 0.368720i | ||||
\(476\) | −22.5868 | − | 6.86946i | −1.03526 | − | 0.314861i | ||||
\(477\) | −1.32514 | + | 4.07835i | −0.0606738 | + | 0.186735i | ||||
\(478\) | −0.0852316 | + | 0.810924i | −0.00389840 | + | 0.0370908i | ||||
\(479\) | 35.4050 | − | 15.7633i | 1.61770 | − | 0.720244i | 0.619780 | − | 0.784776i | \(-0.287222\pi\) |
0.997916 | + | 0.0645314i | \(0.0205553\pi\) | |||||||
\(480\) | 3.87790 | + | 4.30685i | 0.177001 | + | 0.196580i | ||||
\(481\) | 4.52597 | − | 5.02660i | 0.206366 | − | 0.229193i | ||||
\(482\) | −2.26093 | + | 1.64266i | −0.102983 | + | 0.0748213i | ||||
\(483\) | −7.79815 | − | 16.6597i | −0.354828 | − | 0.758042i | ||||
\(484\) | 21.5595 | + | 3.23411i | 0.979979 | + | 0.147005i | ||||
\(485\) | −13.9667 | − | 24.1910i | −0.634194 | − | 1.09846i | ||||
\(486\) | −0.0140677 | − | 0.133845i | −0.000638125 | − | 0.00607135i | ||||
\(487\) | 1.49929 | + | 0.318683i | 0.0679391 | + | 0.0144409i | 0.241756 | − | 0.970337i | \(-0.422277\pi\) |
−0.173817 | + | 0.984778i | \(0.555610\pi\) | |||||||
\(488\) | 2.32483 | − | 0.494157i | 0.105240 | − | 0.0223694i | ||||
\(489\) | −12.8339 | − | 9.32437i | −0.580368 | − | 0.421662i | ||||
\(490\) | 0.933601 | − | 3.29208i | 0.0421758 | − | 0.148721i | ||||
\(491\) | 1.90964 | − | 5.87727i | 0.0861808 | − | 0.265237i | −0.898674 | − | 0.438617i | \(-0.855469\pi\) |
0.984855 | + | 0.173379i | \(0.0554686\pi\) | |||||||
\(492\) | −3.81014 | + | 4.23159i | −0.171774 | + | 0.190775i | ||||
\(493\) | 2.99736 | + | 28.5179i | 0.134994 | + | 1.28438i | ||||
\(494\) | 0.198822 | − | 0.344370i | 0.00894542 | − | 0.0154939i | ||||
\(495\) | −11.8541 | − | 2.14690i | −0.532801 | − | 0.0964960i | ||||
\(496\) | 21.0341 | 0.944458 | ||||||||
\(497\) | −19.8056 | − | 10.9407i | −0.888402 | − | 0.490756i | ||||
\(498\) | −0.373593 | − | 1.14980i | −0.0167411 | − | 0.0515239i | ||||
\(499\) | 14.2979 | − | 3.03910i | 0.640060 | − | 0.136049i | 0.123561 | − | 0.992337i | \(-0.460568\pi\) |
0.516499 | + | 0.856288i | \(0.327235\pi\) | |||||||
\(500\) | −21.0016 | + | 9.35050i | −0.939219 | + | 0.418167i | ||||
\(501\) | −8.98003 | + | 3.99817i | −0.401198 | + | 0.178625i | ||||
\(502\) | 0.948412 | − | 0.201591i | 0.0423297 | − | 0.00899745i | ||||
\(503\) | −5.92996 | − | 18.2505i | −0.264404 | − | 0.813752i | −0.991830 | − | 0.127566i | \(-0.959284\pi\) |
0.727426 | − | 0.686186i | \(-0.240716\pi\) | |||||||
\(504\) | 0.0268128 | + | 1.41759i | 0.00119434 | + | 0.0631443i | ||||
\(505\) | −23.4619 | −1.04404 | ||||||||
\(506\) | −2.79550 | + | 1.34745i | −0.124275 | + | 0.0599016i | ||||
\(507\) | −4.93229 | + | 8.54297i | −0.219051 | + | 0.379407i | ||||
\(508\) | −4.22018 | − | 40.1523i | −0.187240 | − | 1.78147i | ||||
\(509\) | 22.2151 | − | 24.6723i | 0.984666 | − | 1.09358i | −0.0109398 | − | 0.999940i | \(-0.503482\pi\) |
0.995606 | − | 0.0936423i | \(-0.0298510\pi\) | |||||||
\(510\) | 0.680124 | − | 2.09321i | 0.0301164 | − | 0.0926888i | ||||
\(511\) | −23.6779 | − | 20.5223i | −1.04745 | − | 0.907852i | ||||
\(512\) | 8.39783 | + | 6.10138i | 0.371135 | + | 0.269646i | ||||
\(513\) | −1.63215 | + | 0.346925i | −0.0720614 | + | 0.0153171i | ||||
\(514\) | 0.793320 | + | 0.168625i | 0.0349919 | + | 0.00743775i | ||||
\(515\) | 6.53262 | + | 62.1537i | 0.287862 | + | 2.73882i | ||||
\(516\) | 12.6499 | + | 21.9103i | 0.556883 | + | 0.964549i | ||||
\(517\) | 6.48985 | + | 2.65713i | 0.285423 | + | 0.116861i | ||||
\(518\) | −1.35516 | − | 0.116569i | −0.0595422 | − | 0.00512175i | ||||
\(519\) | −8.21764 | + | 5.97047i | −0.360715 | + | 0.262074i | ||||
\(520\) | −2.30631 | + | 2.56141i | −0.101138 | + | 0.112325i | ||||
\(521\) | 19.2979 | + | 21.4325i | 0.845458 | + | 0.938977i | 0.998789 | − | 0.0491982i | \(-0.0156666\pi\) |
−0.153331 | + | 0.988175i | \(0.549000\pi\) | |||||||
\(522\) | 0.783044 | − | 0.348634i | 0.0342729 | − | 0.0152593i | ||||
\(523\) | −2.76872 | + | 26.3426i | −0.121068 | + | 1.15188i | 0.750248 | + | 0.661157i | \(0.229934\pi\) |
−0.871315 | + | 0.490724i | \(0.836732\pi\) | |||||||
\(524\) | 5.07782 | − | 15.6279i | 0.221826 | − | 0.682709i | ||||
\(525\) | −20.7399 | − | 6.30775i | −0.905163 | − | 0.275293i | ||||
\(526\) | −0.723549 | + | 0.525689i | −0.0315482 | + | 0.0229211i | ||||
\(527\) | −12.1674 | − | 21.0745i | −0.530019 | − | 0.918019i | ||||
\(528\) | −12.9012 | + | 0.390650i | −0.561454 | + | 0.0170008i | ||||
\(529\) | −12.6683 | + | 21.9422i | −0.550796 | + | 0.954008i | ||||
\(530\) | 1.91504 | + | 0.852630i | 0.0831839 | + | 0.0370359i | ||||
\(531\) | −3.08760 | − | 9.50264i | −0.133990 | − | 0.412380i | ||||
\(532\) | 8.68275 | − | 1.07897i | 0.376445 | − | 0.0467792i | ||||
\(533\) | −4.11583 | − | 2.99032i | −0.178276 | − | 0.129525i | ||||
\(534\) | −0.0255426 | + | 0.243021i | −0.00110534 | + | 0.0105166i | ||||
\(535\) | 12.9441 | + | 14.3759i | 0.559622 | + | 0.621523i | ||||
\(536\) | 3.86333 | + | 0.821176i | 0.166870 | + | 0.0354694i | ||||
\(537\) | −21.7986 | − | 9.70535i | −0.940678 | − | 0.418817i | ||||
\(538\) | 2.65856 | 0.114619 | ||||||||
\(539\) | 12.9493 | + | 19.2695i | 0.557768 | + | 0.829997i | ||||
\(540\) | 7.19877 | 0.309786 | ||||||||
\(541\) | −29.8331 | − | 13.2825i | −1.28262 | − | 0.571061i | −0.351645 | − | 0.936134i | \(-0.614377\pi\) |
−0.930979 | + | 0.365073i | \(0.881044\pi\) | |||||||
\(542\) | 0.0384611 | + | 0.00817516i | 0.00165205 | + | 0.000351153i | ||||
\(543\) | −3.49835 | − | 3.88531i | −0.150129 | − | 0.166735i | ||||
\(544\) | 0.750893 | − | 7.14427i | 0.0321943 | − | 0.306308i | ||||
\(545\) | −16.0937 | − | 11.6927i | −0.689377 | − | 0.500861i | ||||
\(546\) | −0.625689 | + | 0.0777517i | −0.0267770 | + | 0.00332747i | ||||
\(547\) | −1.11411 | − | 3.42887i | −0.0476357 | − | 0.146608i | 0.924409 | − | 0.381402i | \(-0.124558\pi\) |
−0.972045 | + | 0.234794i | \(0.924558\pi\) | |||||||
\(548\) | −2.79620 | − | 1.24495i | −0.119448 | − | 0.0531815i | ||||
\(549\) | 2.21757 | − | 3.84095i | 0.0946437 | − | 0.163928i | ||||
\(550\) | −1.02436 | + | 3.51085i | −0.0436788 | + | 0.149703i | ||||
\(551\) | −5.31366 | − | 9.20352i | −0.226369 | − | 0.392083i | ||||
\(552\) | 3.01421 | − | 2.18995i | 0.128293 | − | 0.0932107i | ||||
\(553\) | 31.1297 | + | 9.46767i | 1.32377 | + | 0.402606i | ||||
\(554\) | 0.742714 | − | 2.28584i | 0.0315549 | − | 0.0971160i | ||||
\(555\) | −1.45033 | + | 13.7990i | −0.0615630 | + | 0.585733i | ||||
\(556\) | −20.3064 | + | 9.04098i | −0.861182 | + | 0.383423i | ||||
\(557\) | 7.97017 | + | 8.85177i | 0.337707 | + | 0.375062i | 0.887948 | − | 0.459945i | \(-0.152131\pi\) |
−0.550241 | + | 0.835006i | \(0.685464\pi\) | |||||||
\(558\) | −0.486732 | + | 0.540570i | −0.0206050 | + | 0.0228842i | ||||
\(559\) | −18.2871 | + | 13.2864i | −0.773463 | + | 0.561953i | ||||
\(560\) | −37.2616 | − | 3.20520i | −1.57459 | − | 0.135445i | ||||
\(561\) | 7.85425 | + | 12.7001i | 0.331607 | + | 0.536197i | ||||
\(562\) | 1.06565 | + | 1.84576i | 0.0449518 | + | 0.0778588i | ||||
\(563\) | −3.87293 | − | 36.8484i | −0.163224 | − | 1.55298i | −0.703014 | − | 0.711176i | \(-0.748163\pi\) |
0.539790 | − | 0.841800i | \(-0.318504\pi\) | |||||||
\(564\) | −4.09897 | − | 0.871263i | −0.172598 | − | 0.0366868i | ||||
\(565\) | 32.0356 | − | 6.80937i | 1.34775 | − | 0.286473i | ||||
\(566\) | 1.71250 | + | 1.24421i | 0.0719819 | + | 0.0522979i | ||||
\(567\) | 1.99930 | + | 1.73285i | 0.0839629 | + | 0.0727730i | ||||
\(568\) | 1.41622 | − | 4.35866i | 0.0594231 | − | 0.182885i | ||||
\(569\) | 21.4042 | − | 23.7717i | 0.897309 | − | 0.996563i | −0.102689 | − | 0.994713i | \(-0.532745\pi\) |
0.999998 | − | 0.00184909i | \(-0.000588584\pi\) | |||||||
\(570\) | 0.0852629 | + | 0.811223i | 0.00357127 | + | 0.0339784i | ||||
\(571\) | 12.6897 | − | 21.9792i | 0.531047 | − | 0.919800i | −0.468297 | − | 0.883571i | \(-0.655132\pi\) |
0.999344 | − | 0.0362289i | \(-0.0115345\pi\) | |||||||
\(572\) | −1.56642 | − | 11.5333i | −0.0654951 | − | 0.482232i | ||||
\(573\) | −12.8052 | −0.534945 | ||||||||
\(574\) | 0.0193466 | + | 1.02285i | 0.000807510 | + | 0.0426929i | ||||
\(575\) | 17.6031 | + | 54.1767i | 0.734099 | + | 2.25932i | ||||
\(576\) | 7.40318 | − | 1.57360i | 0.308466 | − | 0.0655665i | ||||
\(577\) | −8.40429 | + | 3.74183i | −0.349875 | + | 0.155775i | −0.574147 | − | 0.818752i | \(-0.694666\pi\) |
0.224272 | + | 0.974527i | \(0.428000\pi\) | |||||||
\(578\) | −0.402156 | + | 0.179052i | −0.0167275 | + | 0.00744756i | ||||
\(579\) | −7.49030 | + | 1.59211i | −0.311286 | + | 0.0661659i | ||||
\(580\) | 14.1680 | + | 43.6045i | 0.588293 | + | 1.81058i | ||||
\(581\) | 20.8040 | + | 11.4922i | 0.863094 | + | 0.476776i | ||||
\(582\) | 1.03498 | 0.0429014 | ||||||||
\(583\) | −12.8118 | + | 6.17539i | −0.530612 | + | 0.255758i | ||||
\(584\) | 3.17331 | − | 5.49633i | 0.131312 | − | 0.227440i | ||||
\(585\) | 0.672299 | + | 6.39649i | 0.0277961 | + | 0.264462i | ||||
\(586\) | 0.116813 | − | 0.129734i | 0.00482551 | − | 0.00535928i | ||||
\(587\) | 10.8556 | − | 33.4102i | 0.448060 | − | 1.37899i | −0.431034 | − | 0.902336i | \(-0.641851\pi\) |
0.879093 | − | 0.476650i | \(-0.158149\pi\) | |||||||
\(588\) | −9.66622 | − | 9.95139i | −0.398628 | − | 0.410389i | ||||
\(589\) | 7.29632 | + | 5.30109i | 0.300640 | + | 0.218427i | ||||
\(590\) | −4.77762 | + | 1.01551i | −0.196691 | + | 0.0418080i | ||||
\(591\) | −5.00803 | − | 1.06449i | −0.206003 | − | 0.0437872i | ||||
\(592\) | 1.55389 | + | 14.7843i | 0.0638646 | + | 0.607631i | ||||
\(593\) | 14.1710 | + | 24.5448i | 0.581932 | + | 1.00793i | 0.995250 | + | 0.0973486i | \(0.0310362\pi\) |
−0.413319 | + | 0.910586i | \(0.635631\pi\) | |||||||
\(594\) | 0.288497 | − | 0.340598i | 0.0118372 | − | 0.0139749i | ||||
\(595\) | 18.3430 | + | 39.1873i | 0.751989 | + | 1.60652i | ||||
\(596\) | 8.21244 | − | 5.96669i | 0.336395 | − | 0.244405i | ||||
\(597\) | 9.17331 | − | 10.1880i | 0.375439 | − | 0.416967i | ||||
\(598\) | 1.10863 | + | 1.23126i | 0.0453352 | + | 0.0503499i | ||||
\(599\) | −12.7395 | + | 5.67197i | −0.520520 | + | 0.231750i | −0.650141 | − | 0.759813i | \(-0.725290\pi\) |
0.129622 | + | 0.991564i | \(0.458624\pi\) | |||||||
\(600\) | 0.458966 | − | 4.36677i | 0.0187372 | − | 0.178273i | ||||
\(601\) | −11.9062 | + | 36.6434i | −0.485662 | + | 1.49471i | 0.345357 | + | 0.938471i | \(0.387758\pi\) |
−0.831019 | + | 0.556243i | \(0.812242\pi\) | |||||||
\(602\) | 4.34878 | + | 1.32262i | 0.177243 | + | 0.0539060i | ||||
\(603\) | 5.96261 | − | 4.33209i | 0.242816 | − | 0.176416i | ||||
\(604\) | −2.82142 | − | 4.88685i | −0.114802 | − | 0.198843i | ||||
\(605\) | −22.0345 | − | 33.3300i | −0.895831 | − | 1.35506i | ||||
\(606\) | 0.434654 | − | 0.752843i | 0.0176566 | − | 0.0305821i | ||||
\(607\) | 34.0087 | + | 15.1417i | 1.38037 | + | 0.614581i | 0.956658 | − | 0.291214i | \(-0.0940593\pi\) |
0.423715 | + | 0.905796i | \(0.360726\pi\) | |||||||
\(608\) | 0.822708 | + | 2.53203i | 0.0333652 | + | 0.102688i | ||||
\(609\) | −6.56142 | + | 15.5207i | −0.265882 | + | 0.628929i | ||||
\(610\) | −1.75402 | − | 1.27437i | −0.0710182 | − | 0.0515977i | ||||
\(611\) | 0.391358 | − | 3.72352i | 0.0158326 | − | 0.150637i | ||||
\(612\) | −5.97073 | − | 6.63116i | −0.241352 | − | 0.268049i | ||||
\(613\) | 14.0979 | + | 2.99661i | 0.569411 | + | 0.121032i | 0.483615 | − | 0.875281i | \(-0.339323\pi\) |
0.0857955 | + | 0.996313i | \(0.472657\pi\) | |||||||
\(614\) | −1.88065 | − | 0.837321i | −0.0758970 | − | 0.0337915i | ||||
\(615\) | 10.4359 | 0.420817 | ||||||||
\(616\) | −3.33568 | + | 3.31455i | −0.134398 | + | 0.133547i | ||||
\(617\) | −28.0965 | −1.13112 | −0.565562 | − | 0.824706i | \(-0.691341\pi\) | ||||
−0.565562 | + | 0.824706i | \(0.691341\pi\) | |||||||
\(618\) | −2.11540 | − | 0.941837i | −0.0850939 | − | 0.0378863i | ||||
\(619\) | −17.9056 | − | 3.80596i | −0.719689 | − | 0.152975i | −0.166513 | − | 0.986039i | \(-0.553251\pi\) |
−0.553176 | + | 0.833065i | \(0.686584\pi\) | |||||||
\(620\) | −26.0351 | − | 28.9149i | −1.04559 | − | 1.16125i | ||||
\(621\) | 0.726730 | − | 6.91437i | 0.0291627 | − | 0.277464i | ||||
\(622\) | −2.88500 | − | 2.09607i | −0.115678 | − | 0.0840449i | ||||
\(623\) | −2.89663 | − | 3.83231i | −0.116051 | − | 0.153538i | ||||
\(624\) | 2.12944 | + | 6.55373i | 0.0852457 | + | 0.262359i | ||||
\(625\) | 1.06484 | + | 0.474096i | 0.0425935 | + | 0.0189639i | ||||
\(626\) | 0.539212 | − | 0.933942i | 0.0215512 | − | 0.0373278i | ||||
\(627\) | −4.57365 | − | 3.11591i | −0.182654 | − | 0.124437i | ||||
\(628\) | −6.06843 | − | 10.5108i | −0.242157 | − | 0.419428i | ||||
\(629\) | 13.9138 | − | 10.1090i | 0.554782 | − | 0.403072i | ||||
\(630\) | 0.944612 | − | 0.883445i | 0.0376343 | − | 0.0351973i | ||||
\(631\) | 4.27754 | − | 13.1649i | 0.170286 | − | 0.524087i | −0.829101 | − | 0.559099i | \(-0.811147\pi\) |
0.999387 | + | 0.0350126i | \(0.0111471\pi\) | |||||||
\(632\) | −0.688889 | + | 6.55434i | −0.0274025 | + | 0.260718i | ||||
\(633\) | 2.30088 | − | 1.02442i | 0.0914517 | − | 0.0407169i | ||||
\(634\) | −1.05790 | − | 1.17492i | −0.0420146 | − | 0.0466620i | ||||
\(635\) | −49.5117 | + | 54.9883i | −1.96481 | + | 2.18214i | ||||
\(636\) | 6.87567 | − | 4.99547i | 0.272638 | − | 0.198083i | ||||
\(637\) | 7.93961 | − | 9.51832i | 0.314579 | − | 0.377129i | ||||
\(638\) | 2.63087 | + | 1.07715i | 0.104157 | + | 0.0426449i | ||||
\(639\) | −4.27601 | − | 7.40627i | −0.169156 | − | 0.292987i | ||||
\(640\) | −1.59831 | − | 15.2069i | −0.0631789 | − | 0.601107i | ||||
\(641\) | 14.2338 | + | 3.02549i | 0.562201 | + | 0.119500i | 0.480242 | − | 0.877136i | \(-0.340549\pi\) |
0.0819595 | + | 0.996636i | \(0.473882\pi\) | |||||||
\(642\) | −0.701091 | + | 0.149022i | −0.0276699 | + | 0.00588141i | ||||
\(643\) | 37.5696 | + | 27.2959i | 1.48160 | + | 1.07644i | 0.977037 | + | 0.213069i | \(0.0683459\pi\) |
0.504562 | + | 0.863376i | \(0.331654\pi\) | |||||||
\(644\) | −6.90388 | + | 35.7961i | −0.272051 | + | 1.41056i | ||||
\(645\) | 14.3285 | − | 44.0987i | 0.564185 | − | 1.73638i | ||||
\(646\) | 0.676541 | − | 0.751375i | 0.0266182 | − | 0.0295625i | ||||
\(647\) | −3.79721 | − | 36.1281i | −0.149284 | − | 1.42034i | −0.770869 | − | 0.636994i | \(-0.780178\pi\) |
0.621585 | − | 0.783347i | \(-0.286489\pi\) | |||||||
\(648\) | −0.267947 | + | 0.464097i | −0.0105259 | + | 0.0182315i | ||||
\(649\) | 15.6931 | − | 29.1872i | 0.616009 | − | 1.14570i | ||||
\(650\) | 1.95256 | 0.0765859 | ||||||||
\(651\) | −0.270429 | − | 14.2975i | −0.0105989 | − | 0.560364i | ||||
\(652\) | 9.71543 | + | 29.9010i | 0.380486 | + | 1.17101i | ||||
\(653\) | 3.94439 | − | 0.838405i | 0.154356 | − | 0.0328093i | −0.130086 | − | 0.991503i | \(-0.541525\pi\) |
0.284441 | + | 0.958693i | \(0.408192\pi\) | |||||||
\(654\) | 0.673344 | − | 0.299792i | 0.0263298 | − | 0.0117228i | ||||
\(655\) | −27.5122 | + | 12.2492i | −1.07499 | + | 0.478617i | ||||
\(656\) | 10.9368 | − | 2.32469i | 0.427010 | − | 0.0907637i | ||||
\(657\) | −3.65970 | − | 11.2634i | −0.142779 | − | 0.439427i | ||||
\(658\) | −0.644783 | + | 0.388706i | −0.0251363 | + | 0.0151533i | ||||
\(659\) | 6.28927 | 0.244995 | 0.122498 | − | 0.992469i | \(-0.460910\pi\) | ||||
0.122498 | + | 0.992469i | \(0.460910\pi\) | |||||||
\(660\) | 16.5056 | + | 17.2514i | 0.642480 | + | 0.671510i | ||||
\(661\) | 21.1068 | − | 36.5581i | 0.820960 | − | 1.42194i | −0.0840081 | − | 0.996465i | \(-0.526772\pi\) |
0.904968 | − | 0.425479i | \(-0.139895\pi\) | |||||||
\(662\) | 0.141986 | + | 1.35091i | 0.00551844 | + | 0.0525045i | ||||
\(663\) | 5.33453 | − | 5.92460i | 0.207176 | − | 0.230092i | ||||
\(664\) | −1.48761 | + | 4.57838i | −0.0577303 | + | 0.177676i | ||||
\(665\) | −12.1176 | − | 10.5026i | −0.469899 | − | 0.407275i | ||||
\(666\) | −0.415910 | − | 0.302176i | −0.0161162 | − | 0.0117091i | ||||
\(667\) | 43.3121 | − | 9.20627i | 1.67705 | − | 0.356468i | ||||
\(668\) | 19.0560 | + | 4.05047i | 0.737297 | + | 0.156717i | ||||
\(669\) | −1.39707 | − | 13.2923i | −0.0540140 | − | 0.513909i | ||||
\(670\) | −1.80143 | − | 3.12017i | −0.0695954 | − | 0.120543i | ||||
\(671\) | 14.2891 | − | 3.49240i | 0.551625 | − | 0.134823i | ||||
\(672\) | 2.41624 | − | 3.46149i | 0.0932086 | − | 0.133530i | ||||
\(673\) | −27.3473 | + | 19.8690i | −1.05416 | + | 0.765894i | −0.973000 | − | 0.230807i | \(-0.925863\pi\) |
−0.0811631 | + | 0.996701i | \(0.525863\pi\) | |||||||
\(674\) | 2.43602 | − | 2.70548i | 0.0938322 | − | 0.104211i | ||||
\(675\) | −5.48250 | − | 6.08894i | −0.211022 | − | 0.234363i | ||||
\(676\) | 17.8603 | − | 7.95190i | 0.686933 | − | 0.305842i | ||||
\(677\) | −3.94356 | + | 37.5205i | −0.151564 | + | 1.44203i | 0.609208 | + | 0.793011i | \(0.291487\pi\) |
−0.760771 | + | 0.649020i | \(0.775179\pi\) | |||||||
\(678\) | −0.374991 | + | 1.15410i | −0.0144014 | + | 0.0443230i | ||||
\(679\) | −14.8603 | + | 13.8981i | −0.570287 | + | 0.533358i | ||||
\(680\) | −7.09010 | + | 5.15126i | −0.271893 | + | 0.197542i | ||||
\(681\) | 1.58129 | + | 2.73887i | 0.0605951 | + | 0.104954i | ||||
\(682\) | −2.41144 | + | 0.0730184i | −0.0923387 | + | 0.00279602i | ||||
\(683\) | −4.97965 | + | 8.62501i | −0.190541 | + | 0.330027i | −0.945430 | − | 0.325826i | \(-0.894358\pi\) |
0.754889 | + | 0.655853i | \(0.227691\pi\) | |||||||
\(684\) | 3.02111 | + | 1.34508i | 0.115515 | + | 0.0514305i | ||||
\(685\) | 1.73349 | + | 5.33512i | 0.0662331 | + | 0.203845i | ||||
\(686\) | −2.48964 | − | 0.119553i | −0.0950548 | − | 0.00456456i | ||||
\(687\) | 4.31581 | + | 3.13562i | 0.164659 | + | 0.119631i | ||||
\(688\) | 5.19288 | − | 49.4069i | 0.197977 | − | 1.88362i | ||||
\(689\) | 5.08086 | + | 5.64287i | 0.193565 | + | 0.214976i | ||||
\(690\) | −3.32439 | − | 0.706620i | −0.126557 | − | 0.0269006i | ||||
\(691\) | −19.1175 | − | 8.51166i | −0.727264 | − | 0.323799i | 0.00949452 | − | 0.999955i | \(-0.496978\pi\) |
−0.736758 | + | 0.676156i | \(0.763644\pi\) | |||||||
\(692\) | 20.1312 | 0.765272 | ||||||||
\(693\) | 0.431404 | + | 8.76435i | 0.0163877 | + | 0.332930i | ||||
\(694\) | 0.599685 | 0.0227637 | ||||||||
\(695\) | 37.2163 | + | 16.5698i | 1.41169 | + | 0.628527i | ||||
\(696\) | −3.33848 | − | 0.709617i | −0.126545 | − | 0.0268980i | ||||
\(697\) | −8.65564 | − | 9.61306i | −0.327856 | − | 0.364121i | ||||
\(698\) | −0.0895055 | + | 0.851588i | −0.00338783 | + | 0.0322331i | ||||
\(699\) | 15.8134 | + | 11.4891i | 0.598119 | + | 0.434559i | ||||
\(700\) | 25.9059 | + | 34.2741i | 0.979150 | + | 1.29544i | ||||
\(701\) | −13.9597 | − | 42.9636i | −0.527251 | − | 1.62271i | −0.759821 | − | 0.650132i | \(-0.774714\pi\) |
0.232571 | − | 0.972580i | \(-0.425286\pi\) | |||||||
\(702\) | −0.217705 | − | 0.0969283i | −0.00821673 | − | 0.00365832i | ||||
\(703\) | −3.18698 | + | 5.52001i | −0.120199 | + | 0.208191i | ||||
\(704\) | 20.7453 | + | 14.1333i | 0.781868 | + | 0.532667i | ||||
\(705\) | 3.84008 | + | 6.65122i | 0.144626 | + | 0.250499i | ||||
\(706\) | 1.30224 | − | 0.946135i | 0.0490106 | − | 0.0356083i | ||||
\(707\) | 3.86862 | + | 16.6460i | 0.145495 | + | 0.626038i | ||||
\(708\) | −6.11927 | + | 18.8332i | −0.229976 | + | 0.707794i | ||||
\(709\) | −1.19677 | + | 11.3865i | −0.0449458 | + | 0.427631i | 0.948793 | + | 0.315899i | \(0.102306\pi\) |
−0.993738 | + | 0.111731i | \(0.964360\pi\) | |||||||
\(710\) | −3.81916 | + | 1.70040i | −0.143330 | + | 0.0638148i | ||||
\(711\) | 8.22901 | + | 9.13924i | 0.308612 | + | 0.342748i | ||||
\(712\) | 0.651074 | − | 0.723090i | 0.0244000 | − | 0.0270990i | ||||
\(713\) | −30.4008 | + | 22.0875i | −1.13852 | + | 0.827183i | ||||
\(714\) | −1.59726 | − | 0.137394i | −0.0597758 | − | 0.00514185i | ||||
\(715\) | −13.7873 | + | 16.2772i | −0.515616 | + | 0.608734i | ||||
\(716\) | 23.6454 | + | 40.9551i | 0.883671 | + | 1.53056i | ||||
\(717\) | −0.633303 | − | 6.02547i | −0.0236511 | − | 0.225025i | ||||
\(718\) | 4.78352 | + | 1.01677i | 0.178519 | + | 0.0379455i | ||||
\(719\) | −36.6134 | + | 7.78242i | −1.36545 | + | 0.290235i | −0.831614 | − | 0.555354i | \(-0.812583\pi\) |
−0.533835 | + | 0.845589i | \(0.679250\pi\) | |||||||
\(720\) | −11.4359 | − | 8.30869i | −0.426192 | − | 0.309646i | ||||
\(721\) | 43.0203 | − | 14.8833i | 1.60216 | − | 0.554284i | ||||
\(722\) | 0.674385 | − | 2.07554i | 0.0250980 | − | 0.0772437i | ||||
\(723\) | 13.8948 | − | 15.4317i | 0.516752 | − | 0.573912i | ||||
\(724\) | 1.08309 | + | 10.3050i | 0.0402529 | + | 0.382981i | ||||
\(725\) | 26.0918 | − | 45.1924i | 0.969026 | − | 1.67840i | ||||
\(726\) | 1.47770 | − | 0.0895715i | 0.0548425 | − | 0.00332431i | ||||
\(727\) | 36.5013 | 1.35376 | 0.676879 | − | 0.736094i | \(-0.263332\pi\) | ||||
0.676879 | + | 0.736094i | \(0.263332\pi\) | |||||||
\(728\) | 2.19758 | + | 1.21395i | 0.0814478 | + | 0.0449921i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −5.66287 | + | 1.20368i | −0.209592 | + | 0.0445502i | ||||
\(731\) | −52.5057 | + | 23.3771i | −1.94200 | + | 0.864632i | ||||
\(732\) | −8.03003 | + | 3.57520i | −0.296798 | + | 0.132143i | ||||
\(733\) | −20.4645 | + | 4.34987i | −0.755875 | + | 0.160666i | −0.569703 | − | 0.821851i | \(-0.692942\pi\) |
−0.186172 | + | 0.982517i | \(0.559608\pi\) | |||||||
\(734\) | −0.527401 | − | 1.62317i | −0.0194667 | − | 0.0599124i | ||||
\(735\) | −1.69962 | + | 25.3691i | −0.0626913 | + | 0.935753i | ||||
\(736\) | −11.0929 | −0.408889 | ||||||||
\(737\) | 24.0529 | + | 4.35624i | 0.885999 | + | 0.160464i | ||||
\(738\) | −0.193335 | + | 0.334866i | −0.00711676 | + | 0.0123266i | ||||
\(739\) | 4.94979 | + | 47.0941i | 0.182081 | + | 1.73238i | 0.579697 | + | 0.814832i | \(0.303171\pi\) |
−0.397616 | + | 0.917552i | \(0.630162\pi\) | |||||||
\(740\) | 18.4002 | − | 20.4355i | 0.676404 | − | 0.751223i | ||||
\(741\) | −0.913035 | + | 2.81003i | −0.0335412 | + | 0.103229i | ||||
\(742\) | 0.289163 | − | 1.49929i | 0.0106155 | − | 0.0550407i | ||||
\(743\) | −7.86347 | − | 5.71314i | −0.288483 | − | 0.209595i | 0.434126 | − | 0.900852i | \(-0.357057\pi\) |
−0.722609 | + | 0.691257i | \(0.757057\pi\) | |||||||
\(744\) | 2.83317 | − | 0.602208i | 0.103869 | − | 0.0220780i | ||||
\(745\) | −18.1978 | − | 3.86807i | −0.666717 | − | 0.141715i | ||||
\(746\) | −0.522217 | − | 4.96856i | −0.0191197 | − | 0.181912i | ||||
\(747\) | 4.49156 | + | 7.77961i | 0.164338 | + | 0.284641i | ||||
\(748\) | 2.20125 | − | 29.5126i | 0.0804858 | − | 1.07909i | ||||
\(749\) | 8.06520 | − | 11.5541i | 0.294696 | − | 0.422179i | ||||
\(750\) | −1.26296 | + | 0.917594i | −0.0461168 | + | 0.0335058i | ||||
\(751\) | 4.86818 | − | 5.40666i | 0.177643 | − | 0.197292i | −0.647747 | − | 0.761855i | \(-0.724289\pi\) |
0.825390 | + | 0.564563i | \(0.190955\pi\) | |||||||
\(752\) | 5.50600 | + | 6.11503i | 0.200783 | + | 0.222992i | ||||
\(753\) | −6.58163 | + | 2.93033i | −0.239848 | + | 0.106787i | ||||
\(754\) | 0.158649 | − | 1.50945i | 0.00577767 | − | 0.0549709i | ||||
\(755\) | −3.19581 | + | 9.83570i | −0.116308 | + | 0.357958i | ||||
\(756\) | −1.18700 | − | 5.10746i | −0.0431708 | − | 0.185757i | ||||
\(757\) | −6.11513 | + | 4.44290i | −0.222258 | + | 0.161480i | −0.693343 | − | 0.720608i | \(-0.743863\pi\) |
0.471084 | + | 0.882088i | \(0.343863\pi\) | |||||||
\(758\) | 0.360664 | + | 0.624689i | 0.0130999 | + | 0.0226897i | ||||
\(759\) | 18.2361 | − | 14.1120i | 0.661929 | − | 0.512232i | ||||
\(760\) | 1.62399 | − | 2.81284i | 0.0589085 | − | 0.102032i | ||||
\(761\) | −11.9030 | − | 5.29958i | −0.431485 | − | 0.192110i | 0.179489 | − | 0.983760i | \(-0.442555\pi\) |
−0.610974 | + | 0.791650i | \(0.709222\pi\) | |||||||
\(762\) | −0.847206 | − | 2.60743i | −0.0306910 | − | 0.0944573i | ||||
\(763\) | −5.64221 | + | 13.3463i | −0.204262 | + | 0.483169i | ||||
\(764\) | 20.5316 | + | 14.9171i | 0.742807 | + | 0.539681i | ||||
\(765\) | −1.70943 | + | 16.2641i | −0.0618046 | + | 0.588031i | ||||
\(766\) | −3.11703 | − | 3.46182i | −0.112623 | − | 0.125080i | ||||
\(767\) | −17.3058 | − | 3.67845i | −0.624875 | − | 0.132821i | ||||
\(768\) | −13.3109 | − | 5.92640i | −0.480316 | − | 0.213850i | ||||
\(769\) | −12.0289 | −0.433773 | −0.216887 | − | 0.976197i | \(-0.569590\pi\) | ||||
−0.216887 | + | 0.976197i | \(0.569590\pi\) | |||||||
\(770\) | 4.28296 | + | 0.238107i | 0.154347 | + | 0.00858078i | ||||
\(771\) | −6.02636 | −0.217034 | ||||||||
\(772\) | 13.8645 | + | 6.17287i | 0.498994 | + | 0.222166i | ||||
\(773\) | −32.3267 | − | 6.87125i | −1.16271 | − | 0.247142i | −0.414150 | − | 0.910209i | \(-0.635921\pi\) |
−0.748560 | + | 0.663067i | \(0.769254\pi\) | |||||||
\(774\) | 1.14958 | + | 1.27674i | 0.0413208 | + | 0.0458914i | ||||
\(775\) | −4.62905 | + | 44.0425i | −0.166280 | + | 1.58205i | ||||
\(776\) | −3.33410 | − | 2.42237i | −0.119687 | − | 0.0869580i | ||||
\(777\) | 10.0294 | − | 1.24631i | 0.359802 | − | 0.0447110i | ||||
\(778\) | 0.890817 | + | 2.74165i | 0.0319373 | + | 0.0982930i | ||||
\(779\) | 4.37964 | + | 1.94994i | 0.156917 | + | 0.0698639i | ||||
\(780\) | 6.37348 | − | 11.0392i | 0.228207 | − | 0.395266i | ||||
\(781\) | 7.94445 | − | 27.2285i | 0.284275 | − | 0.974314i | ||||
\(782\) | 2.10637 | + | 3.64834i | 0.0753236 | + | 0.130464i | ||||
\(783\) | −5.15258 | + | 3.74357i | −0.184138 | + | 0.133784i | ||||
\(784\) | 3.86999 | + | 26.9653i | 0.138214 | + | 0.963046i | ||||
\(785\) | −6.87368 | + | 21.1550i | −0.245332 | + | 0.755055i | ||||
\(786\) | 0.116638 | − | 1.10974i | 0.00416034 | − | 0.0395830i | ||||
\(787\) | −38.1133 | + | 16.9691i | −1.35859 | + | 0.604884i | −0.951258 | − | 0.308395i | \(-0.900208\pi\) |
−0.407334 | + | 0.913279i | \(0.633541\pi\) | |||||||
\(788\) | 6.78972 | + | 7.54075i | 0.241874 | + | 0.268628i | ||||
\(789\) | 4.44664 | − | 4.93849i | 0.158304 | − | 0.175815i | ||||
\(790\) | 4.86366 | − | 3.53365i | 0.173041 | − | 0.125722i | ||||
\(791\) | −10.1135 | − | 21.6062i | −0.359595 | − | 0.768226i | ||||
\(792\) | −1.72654 | + | 0.421982i | −0.0613498 | + | 0.0149945i | ||||
\(793\) | −3.92669 | − | 6.80122i | −0.139441 | − | 0.241518i | ||||
\(794\) | 0.118024 | + | 1.12292i | 0.00418850 | + | 0.0398509i | ||||
\(795\) | −15.2357 | − | 3.23845i | −0.540354 | − | 0.114856i | ||||
\(796\) | −26.5765 | + | 5.64902i | −0.941981 | + | 0.200224i | ||||
\(797\) | −21.7513 | − | 15.8033i | −0.770472 | − | 0.559781i | 0.131632 | − | 0.991299i | \(-0.457978\pi\) |
−0.902104 | + | 0.431518i | \(0.857978\pi\) | |||||||
\(798\) | 0.561496 | − | 0.194255i | 0.0198767 | − | 0.00687656i | ||||
\(799\) | 2.94178 | − | 9.05388i | 0.104073 | − | 0.320303i | ||||
\(800\) | −8.74753 | + | 9.71511i | −0.309272 | + | 0.343481i | ||||
\(801\) | −0.189791 | − | 1.80574i | −0.00670593 | − | 0.0638027i | ||||
\(802\) | 0.443844 | − | 0.768760i | 0.0156727 | − | 0.0271458i | ||||
\(803\) | 18.6009 | − | 34.5954i | 0.656413 | − | 1.22085i | ||||
\(804\) | −14.6069 | −0.515145 | ||||||||
\(805\) | 57.2204 | − | 34.4952i | 2.01675 | − | 1.21580i | ||||
\(806\) | 0.398024 | + | 1.22499i | 0.0140198 | + | 0.0431485i | ||||
\(807\) | −19.3224 | + | 4.10710i | −0.680181 | + | 0.144577i | ||||
\(808\) | −3.16223 | + | 1.40791i | −0.111247 | + | 0.0495302i | ||||
\(809\) | 14.9905 | − | 6.67418i | 0.527036 | − | 0.234652i | −0.125929 | − | 0.992039i | \(-0.540191\pi\) |
0.652966 | + | 0.757387i | \(0.273525\pi\) | |||||||
\(810\) | 0.478160 | − | 0.101636i | 0.0168008 | − | 0.00357113i | ||||
\(811\) | 0.0521602 | + | 0.160532i | 0.00183159 | + | 0.00563706i | 0.951968 | − | 0.306197i | \(-0.0990567\pi\) |
−0.950137 | + | 0.311834i | \(0.899057\pi\) | |||||||
\(812\) | 28.6009 | − | 17.2420i | 1.00369 | − | 0.605074i | ||||
\(813\) | −0.292165 | −0.0102467 | ||||||||
\(814\) | −0.229468 | − | 1.68954i | −0.00804284 | − | 0.0592184i | ||||
\(815\) | 28.8105 | − | 49.9012i | 1.00919 | − | 1.74796i | ||||
\(816\) | 1.83150 | + | 17.4255i | 0.0641152 | + | 0.610015i | ||||
\(817\) | 14.2530 | − | 15.8296i | 0.498650 | − | 0.553807i | ||||
\(818\) | −0.290589 | + | 0.894342i | −0.0101602 | + | 0.0312699i | ||||
\(819\) | 4.42740 | − | 1.53170i | 0.154706 | − | 0.0535220i | ||||
\(820\) | −16.7328 | − | 12.1571i | −0.584333 | − | 0.424543i | ||||
\(821\) | 31.5327 | − | 6.70247i | 1.10050 | − | 0.233918i | 0.378354 | − | 0.925661i | \(-0.376490\pi\) |
0.722144 | + | 0.691743i | \(0.243157\pi\) | |||||||
\(822\) | −0.203307 | − | 0.0432142i | −0.00709114 | − | 0.00150727i | ||||
\(823\) | 0.490478 | + | 4.66658i | 0.0170970 | + | 0.162667i | 0.999739 | − | 0.0228449i | \(-0.00727239\pi\) |
−0.982642 | + | 0.185512i | \(0.940606\pi\) | |||||||
\(824\) | 4.61022 | + | 7.98513i | 0.160605 | + | 0.278175i | ||||
\(825\) | 2.02126 | − | 27.0994i | 0.0703712 | − | 0.943480i | ||||
\(826\) | 1.50828 | + | 3.22223i | 0.0524796 | + | 0.112116i | ||||
\(827\) | 6.12827 | − | 4.45245i | 0.213101 | − | 0.154827i | −0.476115 | − | 0.879383i | \(-0.657955\pi\) |
0.689216 | + | 0.724556i | \(0.257955\pi\) | |||||||
\(828\) | −9.21994 | + | 10.2398i | −0.320415 | + | 0.355857i | ||||
\(829\) | 6.37851 | + | 7.08405i | 0.221535 | + | 0.246039i | 0.843659 | − | 0.536879i | \(-0.180397\pi\) |
−0.622124 | + | 0.782918i | \(0.713730\pi\) | |||||||
\(830\) | 4.01168 | − | 1.78612i | 0.139247 | − | 0.0619970i | ||||
\(831\) | −1.86674 | + | 17.7609i | −0.0647566 | + | 0.616118i | ||||
\(832\) | 4.14137 | − | 12.7458i | 0.143576 | − | 0.441883i | ||||
\(833\) | 24.7785 | − | 19.4757i | 0.858523 | − | 0.674795i | ||||
\(834\) | −1.22115 | + | 0.887220i | −0.0422851 | + | 0.0307219i | ||||
\(835\) | −17.8524 | − | 30.9213i | −0.617808 | − | 1.07008i | ||||
\(836\) | 3.70350 | + | 10.3239i | 0.128088 | + | 0.357061i | ||||
\(837\) | 2.70246 | − | 4.68080i | 0.0934107 | − | 0.161792i | ||||
\(838\) | 2.24842 | + | 1.00106i | 0.0776705 | + | 0.0345811i | ||||
\(839\) | −5.00569 | − | 15.4059i | −0.172815 | − | 0.531871i | 0.826711 | − | 0.562626i | \(-0.190209\pi\) |
−0.999527 | + | 0.0307548i | \(0.990209\pi\) | |||||||
\(840\) | −5.11069 | + | 0.635083i | −0.176335 | + | 0.0219124i | ||||
\(841\) | −9.35492 | − | 6.79674i | −0.322583 | − | 0.234370i | ||||
\(842\) | 0.232804 | − | 2.21498i | 0.00802295 | − | 0.0763332i | ||||
\(843\) | −10.5966 | − | 11.7687i | −0.364967 | − | 0.405337i | ||||
\(844\) | −4.88255 | − | 1.03782i | −0.168064 | − | 0.0357232i | ||||
\(845\) | −32.7332 | − | 14.5737i | −1.12606 | − | 0.501352i | ||||
\(846\) | −0.284564 | −0.00978352 | ||||||||
\(847\) | −20.0141 | + | 21.1291i | −0.687691 | + | 0.726003i | ||||
\(848\) | −16.6883 | −0.573079 | ||||||||
\(849\) | −14.3686 | − | 6.39731i | −0.493129 | − | 0.219555i | ||||
\(850\) | 4.85622 | + | 1.03222i | 0.166567 | + | 0.0354049i | ||||
\(851\) | −17.7706 | − | 19.7362i | −0.609168 | − | 0.676549i | ||||
\(852\) | −1.77167 | + | 16.8563i | −0.0606963 | + | 0.577487i | ||||
\(853\) | 12.7711 | + | 9.27878i | 0.437276 | + | 0.317699i | 0.784551 | − | 0.620064i | \(-0.212893\pi\) |
−0.347276 | + | 0.937763i | \(0.612893\pi\) | |||||||
\(854\) | −0.614934 | + | 1.45459i | −0.0210426 | + | 0.0497751i | ||||
\(855\) | −1.87292 | − | 5.76425i | −0.0640524 | − | 0.197133i | ||||
\(856\) | 2.60729 | + | 1.16084i | 0.0891153 | + | 0.0396767i | ||||
\(857\) | 4.29969 | − | 7.44729i | 0.146875 | − | 0.254395i | −0.783196 | − | 0.621775i | \(-0.786412\pi\) |
0.930071 | + | 0.367380i | \(0.119745\pi\) | |||||||
\(858\) | −0.266879 | − | 0.743956i | −0.00911108 | − | 0.0253982i | ||||
\(859\) | 0.209276 | + | 0.362477i | 0.00714040 | + | 0.0123675i | 0.869574 | − | 0.493803i | \(-0.164394\pi\) |
−0.862433 | + | 0.506171i | \(0.831060\pi\) | |||||||
\(860\) | −74.3457 | + | 54.0153i | −2.53517 | + | 1.84191i | ||||
\(861\) | −1.72077 | − | 7.40419i | −0.0586438 | − | 0.252334i | ||||
\(862\) | 1.11872 | − | 3.44307i | 0.0381038 | − | 0.117271i | ||||
\(863\) | −0.575685 | + | 5.47728i | −0.0195966 | + | 0.186449i | −0.999941 | − | 0.0108438i | \(-0.996548\pi\) |
0.980345 | + | 0.197293i | \(0.0632149\pi\) | |||||||
\(864\) | 1.45759 | − | 0.648963i | 0.0495884 | − | 0.0220782i | ||||
\(865\) | −24.6877 | − | 27.4184i | −0.839406 | − | 0.932255i | ||||
\(866\) | 2.39086 | − | 2.65532i | 0.0812449 | − | 0.0902316i | ||||
\(867\) | 2.64626 | − | 1.92262i | 0.0898719 | − | 0.0652957i | ||||
\(868\) | −16.2219 | + | 23.2394i | −0.550608 | + | 0.788797i | ||||
\(869\) | −3.03382 | + | 40.6751i | −0.102915 | + | 1.37981i | ||||
\(870\) | 1.55670 | + | 2.69629i | 0.0527771 | + | 0.0914127i | ||||
\(871\) | −1.36415 | − | 12.9790i | −0.0462224 | − | 0.439777i | ||||
\(872\) | −2.87078 | − | 0.610204i | −0.0972170 | − | 0.0206641i | ||||
\(873\) | −7.52225 | + | 1.59890i | −0.254590 | + | 0.0541147i | ||||
\(874\) | −1.26311 | − | 0.917705i | −0.0427254 | − | 0.0310418i | ||||
\(875\) | 5.81190 | − | 30.1343i | 0.196478 | − | 1.01872i | ||||
\(876\) | −7.25312 | + | 22.3228i | −0.245060 | + | 0.754218i | ||||
\(877\) | −15.5721 | + | 17.2946i | −0.525834 | + | 0.583997i | −0.946292 | − | 0.323315i | \(-0.895203\pi\) |
0.420458 | + | 0.907312i | \(0.361869\pi\) | |||||||
\(878\) | −0.126527 | − | 1.20383i | −0.00427008 | − | 0.0406271i | ||||
\(879\) | −0.648578 | + | 1.12337i | −0.0218760 | + | 0.0378903i | ||||
\(880\) | −6.30948 | − | 46.4559i | −0.212692 | − | 1.56603i | ||||
\(881\) | −19.0335 | −0.641255 | −0.320628 | − | 0.947205i | \(-0.603894\pi\) | ||||
−0.320628 | + | 0.947205i | \(0.603894\pi\) | |||||||
\(882\) | −0.782553 | − | 0.524523i | −0.0263499 | − | 0.0176616i | ||||
\(883\) | 11.4738 | + | 35.3128i | 0.386124 | + | 1.18837i | 0.935661 | + | 0.352899i | \(0.114804\pi\) |
−0.549537 | + | 0.835469i | \(0.685196\pi\) | |||||||
\(884\) | −15.4550 | + | 3.28506i | −0.519808 | + | 0.110488i | ||||
\(885\) | 33.1549 | − | 14.7615i | 1.11449 | − | 0.496203i | ||||
\(886\) | 2.00442 | − | 0.892425i | 0.0673398 | − | 0.0299816i | ||||
\(887\) | −11.8288 | + | 2.51430i | −0.397174 | + | 0.0844219i | −0.402169 | − | 0.915566i | \(-0.631743\pi\) |
0.00499487 | + | 0.999988i | \(0.498410\pi\) | |||||||
\(888\) | 0.632577 | + | 1.94687i | 0.0212279 | + | 0.0653327i | ||||
\(889\) | 47.1776 | + | 26.0611i | 1.58229 | + | 0.874061i | ||||
\(890\) | −0.887585 | −0.0297519 | ||||||||
\(891\) | −1.57062 | + | 2.92116i | −0.0526177 | + | 0.0978624i | ||||
\(892\) | −13.2445 | + | 22.9401i | −0.443457 | + | 0.768090i | ||||
\(893\) | 0.368793 | + | 3.50883i | 0.0123412 | + | 0.117419i | ||||
\(894\) | 0.461249 | − | 0.512269i | 0.0154265 | − | 0.0171329i | ||||
\(895\) | 26.7830 | − | 82.4297i | 0.895258 | − | 2.75532i | ||||
\(896\) | −10.5256 | + | 3.64145i | −0.351637 | + | 0.121652i | ||||
\(897\) | −9.95965 | − | 7.23611i | −0.332543 | − | 0.241607i | ||||
\(898\) | 0.127958 | − | 0.0271983i | 0.00427002 | − | 0.000907620i | ||||
\(899\) | 33.6713 | + | 7.15707i | 1.12300 | + | 0.238701i | ||||
\(900\) | 1.69739 | + | 16.1496i | 0.0565796 | + | 0.538319i | ||||
\(901\) | 9.65351 | + | 16.7204i | 0.321605 | + | 0.557037i | ||||
\(902\) | −1.24577 | + | 0.304478i | −0.0414796 | + | 0.0101380i | ||||
\(903\) | −33.6502 | − | 2.89455i | −1.11981 | − | 0.0963247i | ||||
\(904\) | 3.90917 | − | 2.84018i | 0.130017 | − | 0.0944629i | ||||
\(905\) | 12.7070 | − | 14.1126i | 0.422395 | − | 0.469117i | ||||
\(906\) | −0.256401 | − | 0.284762i | −0.00851835 | − | 0.00946059i | ||||
\(907\) | 13.1404 | − | 5.85050i | 0.436321 | − | 0.194263i | −0.176808 | − | 0.984245i | \(-0.556577\pi\) |
0.613129 | + | 0.789983i | \(0.289911\pi\) | |||||||
\(908\) | 0.655171 | − | 6.23353i | 0.0217426 | − | 0.206867i | ||||
\(909\) | −1.99603 | + | 6.14314i | −0.0662041 | + | 0.203755i | ||||
\(910\) | −0.518429 | − | 2.23071i | −0.0171857 | − | 0.0739473i | ||||
\(911\) | −24.4642 | + | 17.7743i | −0.810536 | + | 0.588889i | −0.913986 | − | 0.405746i | \(-0.867012\pi\) |
0.103450 | + | 0.994635i | \(0.467012\pi\) | |||||||
\(912\) | −3.24684 | − | 5.62369i | −0.107514 | − | 0.186219i | ||||
\(913\) | −8.34492 | + | 28.6011i | −0.276177 | + | 0.946559i | ||||
\(914\) | −0.176921 | + | 0.306436i | −0.00585203 | + | 0.0101360i | ||||
\(915\) | 14.7169 | + | 6.55241i | 0.486527 | + | 0.216616i | ||||
\(916\) | −3.26713 | − | 10.0552i | −0.107949 | − | 0.332233i | ||||
\(917\) | 13.2272 | + | 17.4999i | 0.436800 | + | 0.577898i | ||||
\(918\) | −0.490212 | − | 0.356160i | −0.0161794 | − | 0.0117550i | ||||
\(919\) | 1.71340 | − | 16.3019i | 0.0565197 | − | 0.537749i | −0.929227 | − | 0.369510i | \(-0.879525\pi\) |
0.985746 | − | 0.168239i | \(-0.0538079\pi\) | |||||||
\(920\) | 9.05538 | + | 10.0570i | 0.298547 | + | 0.331570i | ||||
\(921\) | 14.9621 | + | 3.18030i | 0.493019 | + | 0.104795i | ||||
\(922\) | −5.02864 | − | 2.23889i | −0.165609 | − | 0.0737341i | ||||
\(923\) | −15.1432 | −0.498444 | ||||||||
\(924\) | 9.51810 | − | 14.5551i | 0.313123 | − | 0.478829i | ||||
\(925\) | −31.2983 | −1.02908 | ||||||||
\(926\) | 1.74077 | + | 0.775041i | 0.0572053 | + | 0.0254694i | ||||
\(927\) | 16.8298 | + | 3.57727i | 0.552762 | + | 0.117493i | ||||
\(928\) | 6.79961 | + | 7.55173i | 0.223208 | + | 0.247898i | ||||
\(929\) | 4.84624 | − | 46.1089i | 0.159000 | − | 1.51278i | −0.566213 | − | 0.824259i | \(-0.691592\pi\) |
0.725213 | − | 0.688525i | \(-0.241741\pi\) | |||||||
\(930\) | −2.13755 | − | 1.55302i | −0.0700930 | − | 0.0509255i | ||||
\(931\) | −5.45347 | + | 10.3291i | −0.178730 | + | 0.338522i | ||||
\(932\) | −11.9710 | − | 36.8429i | −0.392123 | − | 1.20683i | ||||
\(933\) | 24.2063 | + | 10.7774i | 0.792480 | + | 0.352835i | ||||
\(934\) | −1.88372 | + | 3.26271i | −0.0616373 | + | 0.106759i | ||||
\(935\) | −42.8954 | + | 33.1945i | −1.40283 | + | 1.08558i | ||||
\(936\) | 0.474456 | + | 0.821783i | 0.0155081 | + | 0.0268608i | ||||
\(937\) | −14.1585 | + | 10.2868i | −0.462539 | + | 0.336054i | −0.794526 | − | 0.607230i | \(-0.792281\pi\) |
0.331988 | + | 0.943284i | \(0.392281\pi\) | |||||||
\(938\) | −1.91669 | + | 1.79258i | −0.0625823 | + | 0.0585299i | ||||
\(939\) | −2.47618 | + | 7.62090i | −0.0808071 | + | 0.248699i | ||||
\(940\) | 1.59105 | − | 15.1378i | 0.0518944 | − | 0.493742i | ||||
\(941\) | 1.90875 | − | 0.849832i | 0.0622236 | − | 0.0277037i | −0.375389 | − | 0.926867i | \(-0.622491\pi\) |
0.437612 | + | 0.899164i | \(0.355824\pi\) | |||||||
\(942\) | −0.551477 | − | 0.612477i | −0.0179681 | − | 0.0199556i | ||||
\(943\) | −13.3660 | + | 14.8444i | −0.435256 | + | 0.483400i | ||||
\(944\) | 31.4579 | − | 22.8555i | 1.02387 | − | 0.743883i | ||||
\(945\) | −5.50065 | + | 7.88018i | −0.178936 | + | 0.256342i | ||||
\(946\) | −0.423821 | + | 5.68225i | −0.0137796 | + | 0.184746i | ||||
\(947\) | 6.45896 | + | 11.1873i | 0.209888 | + | 0.363537i | 0.951679 | − | 0.307094i | \(-0.0993567\pi\) |
−0.741791 | + | 0.670631i | \(0.766023\pi\) | |||||||
\(948\) | −2.54771 | − | 24.2398i | −0.0827458 | − | 0.787274i | ||||
\(949\) | −20.5124 | − | 4.36004i | −0.665860 | − | 0.141533i | ||||
\(950\) | −1.79978 | + | 0.382554i | −0.0583924 | + | 0.0124117i | ||||
\(951\) | 9.50392 | + | 6.90500i | 0.308186 | + | 0.223910i | ||||
\(952\) | 4.82386 | + | 4.18097i | 0.156342 | + | 0.135506i | ||||
\(953\) | −8.07001 | + | 24.8369i | −0.261413 | + | 0.804547i | 0.731085 | + | 0.682287i | \(0.239014\pi\) |
−0.992498 | + | 0.122260i | \(0.960986\pi\) | |||||||
\(954\) | 0.386170 | − | 0.428885i | 0.0125027 | − | 0.0138857i | ||||
\(955\) | −4.86183 | − | 46.2573i | −0.157325 | − | 1.49685i | ||||
\(956\) | −6.00379 | + | 10.3989i | −0.194177 | + | 0.336324i | ||||
\(957\) | −20.7852 | − | 3.76443i | −0.671891 | − | 0.121687i | ||||
\(958\) | −5.21583 | −0.168516 | ||||||||
\(959\) | 3.49939 | − | 2.10960i | 0.113001 | − | 0.0681225i | ||||
\(960\) | 8.49525 | + | 26.1457i | 0.274183 | + | 0.843848i | ||||
\(961\) | 1.74778 | − | 0.371502i | 0.0563799 | − | 0.0119839i | ||||
\(962\) | −0.831611 | + | 0.370257i | −0.0268122 | + | 0.0119376i | ||||
\(963\) | 4.86532 | − | 2.16618i | 0.156783 | − | 0.0698041i | ||||
\(964\) | −40.2554 | + | 8.55655i | −1.29654 | + | 0.275588i | ||||
\(965\) | −8.59522 | − | 26.4534i | −0.276690 | − | 0.851564i | ||||
\(966\) | 0.0468156 | + | 2.47513i | 0.00150627 | + | 0.0796362i | ||||
\(967\) | −47.6778 | −1.53322 | −0.766608 | − | 0.642116i | \(-0.778057\pi\) | ||||
−0.766608 | + | 0.642116i | \(0.778057\pi\) | |||||||
\(968\) | −4.96992 | − | 3.17000i | −0.159739 | − | 0.101888i | ||||
\(969\) | −3.75633 | + | 6.50616i | −0.120671 | + | 0.209008i | ||||
\(970\) | 0.392958 | + | 3.73875i | 0.0126171 | + | 0.120044i | ||||
\(971\) | −11.1275 | + | 12.3584i | −0.357100 | + | 0.396600i | −0.894749 | − | 0.446569i | \(-0.852646\pi\) |
0.537649 | + | 0.843169i | \(0.319312\pi\) | |||||||
\(972\) | 0.612437 | − | 1.88489i | 0.0196439 | − | 0.0604578i | ||||
\(973\) | 5.61952 | − | 29.1368i | 0.180153 | − | 0.934082i | ||||
\(974\) | −0.166889 | − | 0.121252i | −0.00534746 | − | 0.00388516i | ||||
\(975\) | −14.1912 | + | 3.01644i | −0.454483 | + | 0.0966034i | ||||
\(976\) | 16.8829 | + | 3.58857i | 0.540408 | + | 0.114867i | ||||
\(977\) | −5.88125 | − | 55.9564i | −0.188158 | − | 1.79020i | −0.527516 | − | 0.849545i | \(-0.676876\pi\) |
0.339358 | − | 0.940657i | \(-0.389790\pi\) | |||||||
\(978\) | 1.06748 | + | 1.84893i | 0.0341343 | + | 0.0591223i | ||||
\(979\) | 3.89218 | − | 4.59509i | 0.124395 | − | 0.146860i | ||||
\(980\) | 32.2782 | − | 38.6964i | 1.03109 | − | 1.23611i | ||||
\(981\) | −4.43073 | + | 3.21911i | −0.141462 | + | 0.102778i | ||||
\(982\) | −0.556505 | + | 0.618062i | −0.0177588 | + | 0.0197231i | ||||
\(983\) | 11.0421 | + | 12.2635i | 0.352189 | + | 0.391145i | 0.893043 | − | 0.449971i | \(-0.148566\pi\) |
−0.540855 | + | 0.841116i | \(0.681899\pi\) | |||||||
\(984\) | 1.40656 | − | 0.626243i | 0.0448396 | − | 0.0199639i | ||||
\(985\) | 1.94391 | − | 18.4951i | 0.0619381 | − | 0.589302i | ||||
\(986\) | 1.19255 | − | 3.67028i | 0.0379784 | − | 0.116886i | ||||
\(987\) | 4.08579 | − | 3.82122i | 0.130052 | − | 0.121631i | ||||
\(988\) | 4.73742 | − | 3.44193i | 0.150717 | − | 0.109503i | ||||
\(989\) | 44.3760 | + | 76.8614i | 1.41107 | + | 2.44405i | ||||
\(990\) | 1.33991 | + | 0.912845i | 0.0425850 | + | 0.0290121i | ||||
\(991\) | 10.8912 | − | 18.8641i | 0.345970 | − | 0.599237i | −0.639560 | − | 0.768741i | \(-0.720883\pi\) |
0.985529 | + | 0.169504i | \(0.0542167\pi\) | |||||||
\(992\) | −7.87818 | − | 3.50759i | −0.250133 | − | 0.111366i | ||||
\(993\) | −3.11892 | − | 9.59904i | −0.0989759 | − | 0.304616i | ||||
\(994\) | 1.83616 | + | 2.42928i | 0.0582393 | + | 0.0770521i | ||||
\(995\) | 40.2858 | + | 29.2694i | 1.27715 | + | 0.927901i | ||||
\(996\) | 1.86098 | − | 17.7060i | 0.0589673 | − | 0.561036i | ||||
\(997\) | −29.3546 | − | 32.6016i | −0.929670 | − | 1.03250i | −0.999390 | − | 0.0349370i | \(-0.988877\pi\) |
0.0697190 | − | 0.997567i | \(-0.477790\pi\) | |||||||
\(998\) | −1.92425 | − | 0.409011i | −0.0609109 | − | 0.0129470i | ||||
\(999\) | 3.48966 | + | 1.55370i | 0.110408 | + | 0.0491567i |
(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 | 231.2.y.a.25.4 | yes | 64 | |
3.2 | odd | 2 | 693.2.by.d.487.5 | 64 | |||
7.2 | even | 3 | inner | 231.2.y.a.58.5 | yes | 64 | |
11.4 | even | 5 | inner | 231.2.y.a.4.5 | ✓ | 64 | |
21.2 | odd | 6 | 693.2.by.d.289.4 | 64 | |||
33.26 | odd | 10 | 693.2.by.d.235.4 | 64 | |||
77.37 | even | 15 | inner | 231.2.y.a.37.4 | yes | 64 | |
231.191 | odd | 30 | 693.2.by.d.37.5 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.y.a.4.5 | ✓ | 64 | 11.4 | even | 5 | inner | |
231.2.y.a.25.4 | yes | 64 | 1.1 | even | 1 | trivial | |
231.2.y.a.37.4 | yes | 64 | 77.37 | even | 15 | inner | |
231.2.y.a.58.5 | yes | 64 | 7.2 | even | 3 | inner | |
693.2.by.d.37.5 | 64 | 231.191 | odd | 30 | |||
693.2.by.d.235.4 | 64 | 33.26 | odd | 10 | |||
693.2.by.d.289.4 | 64 | 21.2 | odd | 6 | |||
693.2.by.d.487.5 | 64 | 3.2 | odd | 2 |