Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [93,2,Mod(7,93)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(93, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("93.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 93 = 3 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 93.m (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: | \(0.742608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7 x^{15} + 24 x^{14} - 36 x^{13} + 17 x^{12} + 18 x^{11} - 52 x^{10} + 59 x^{9} + 51 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Root | \(1.15747 + 0.246029i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 93.19 |
Dual form | 93.2.m.a.49.2 |
$q$-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 \(\left(\mathbb{Z}/93\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(34\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.76635 | + | 1.28333i | 1.24900 | + | 0.907452i | 0.998163 | − | 0.0605777i | \(-0.0192943\pi\) |
0.250837 | + | 0.968029i | \(0.419294\pi\) | |||||||
\(3\) | −0.913545 | − | 0.406737i | −0.527436 | − | 0.234830i | ||||
\(4\) | 0.855032 | + | 2.63152i | 0.427516 | + | 1.31576i | ||||
\(5\) | −0.272011 | + | 0.471137i | −0.121647 | + | 0.210699i | −0.920417 | − | 0.390937i | \(-0.872151\pi\) |
0.798770 | + | 0.601636i | \(0.205484\pi\) | |||||||
\(6\) | −1.09167 | − | 1.89082i | −0.445671 | − | 0.771925i | ||||
\(7\) | 0.385694 | − | 0.428357i | 0.145779 | − | 0.161904i | −0.665833 | − | 0.746101i | \(-0.731924\pi\) |
0.811612 | + | 0.584197i | \(0.198590\pi\) | |||||||
\(8\) | −0.517444 | + | 1.59253i | −0.182944 | + | 0.563044i | ||||
\(9\) | 0.669131 | + | 0.743145i | 0.223044 | + | 0.247715i | ||||
\(10\) | −1.08509 | + | 0.483114i | −0.343136 | + | 0.152774i | ||||
\(11\) | −4.22763 | − | 0.898610i | −1.27468 | − | 0.270941i | −0.479621 | − | 0.877476i | \(-0.659226\pi\) |
−0.795057 | + | 0.606535i | \(0.792559\pi\) | |||||||
\(12\) | 0.289224 | − | 2.75178i | 0.0834918 | − | 0.794371i | ||||
\(13\) | −0.448690 | − | 4.26900i | −0.124444 | − | 1.18401i | −0.861350 | − | 0.508013i | \(-0.830380\pi\) |
0.736905 | − | 0.675996i | \(-0.236286\pi\) | |||||||
\(14\) | 1.23100 | − | 0.261656i | 0.328997 | − | 0.0699305i | ||||
\(15\) | 0.440123 | − | 0.319768i | 0.113639 | − | 0.0825637i | ||||
\(16\) | 1.51927 | − | 1.10382i | 0.379818 | − | 0.275954i | ||||
\(17\) | −0.117590 | + | 0.0249945i | −0.0285197 | + | 0.00606205i | −0.222149 | − | 0.975013i | \(-0.571307\pi\) |
0.193630 | + | 0.981075i | \(0.437974\pi\) | |||||||
\(18\) | 0.228220 | + | 2.17137i | 0.0537921 | + | 0.511797i | ||||
\(19\) | −0.0652913 | + | 0.621205i | −0.0149788 | + | 0.142514i | −0.999455 | − | 0.0330027i | \(-0.989493\pi\) |
0.984476 | + | 0.175517i | \(0.0561597\pi\) | |||||||
\(20\) | −1.47238 | − | 0.312964i | −0.329235 | − | 0.0699810i | ||||
\(21\) | −0.526577 | + | 0.234447i | −0.114909 | + | 0.0511606i | ||||
\(22\) | −6.31427 | − | 7.01270i | −1.34621 | − | 1.49511i | ||||
\(23\) | −2.88935 | + | 8.89249i | −0.602470 | + | 1.85421i | −0.0891442 | + | 0.996019i | \(0.528413\pi\) |
−0.513326 | + | 0.858194i | \(0.671587\pi\) | |||||||
\(24\) | 1.12045 | − | 1.24438i | 0.228711 | − | 0.254009i | ||||
\(25\) | 2.35202 | + | 4.07382i | 0.470404 | + | 0.814764i | ||||
\(26\) | 4.68600 | − | 8.11639i | 0.919000 | − | 1.59175i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 1.45701 | + | 0.648702i | 0.275349 | + | 0.122593i | ||||
\(29\) | 5.33477 | + | 3.87594i | 0.990643 | + | 0.719744i | 0.960062 | − | 0.279788i | \(-0.0902643\pi\) |
0.0305809 | + | 0.999532i | \(0.490264\pi\) | |||||||
\(30\) | 1.18778 | 0.216858 | ||||||||
\(31\) | −3.58077 | − | 4.26357i | −0.643126 | − | 0.765760i | ||||
\(32\) | 7.44910 | 1.31683 | ||||||||
\(33\) | 3.49663 | + | 2.54045i | 0.608685 | + | 0.442236i | ||||
\(34\) | −0.239781 | − | 0.106757i | −0.0411221 | − | 0.0183088i | ||||
\(35\) | 0.0969015 | + | 0.298232i | 0.0163794 | + | 0.0504105i | ||||
\(36\) | −1.38347 | + | 2.39624i | −0.230578 | + | 0.399373i | ||||
\(37\) | −0.992736 | − | 1.71947i | −0.163205 | − | 0.282679i | 0.772811 | − | 0.634636i | \(-0.218850\pi\) |
−0.936016 | + | 0.351957i | \(0.885516\pi\) | |||||||
\(38\) | −0.912539 | + | 1.01348i | −0.148033 | + | 0.164408i | ||||
\(39\) | −1.32646 | + | 4.08243i | −0.212404 | + | 0.653712i | ||||
\(40\) | −0.609549 | − | 0.676973i | −0.0963781 | − | 0.107039i | ||||
\(41\) | −5.07221 | + | 2.25829i | −0.792147 | + | 0.352686i | −0.762594 | − | 0.646877i | \(-0.776075\pi\) |
−0.0295521 | + | 0.999563i | \(0.509408\pi\) | |||||||
\(42\) | −1.23100 | − | 0.261656i | −0.189947 | − | 0.0403744i | ||||
\(43\) | 0.370707 | − | 3.52704i | 0.0565323 | − | 0.537869i | −0.929203 | − | 0.369569i | \(-0.879505\pi\) |
0.985736 | − | 0.168300i | \(-0.0538279\pi\) | |||||||
\(44\) | −1.25005 | − | 11.8934i | −0.188452 | − | 1.79300i | ||||
\(45\) | −0.532134 | + | 0.113108i | −0.0793258 | + | 0.0168612i | ||||
\(46\) | −16.5156 | + | 11.9993i | −2.43509 | + | 1.76920i | ||||
\(47\) | 2.68156 | − | 1.94827i | 0.391145 | − | 0.284184i | −0.374779 | − | 0.927114i | \(-0.622282\pi\) |
0.765925 | + | 0.642930i | \(0.222282\pi\) | |||||||
\(48\) | −1.83689 | + | 0.390442i | −0.265132 | + | 0.0563555i | ||||
\(49\) | 0.696970 | + | 6.63122i | 0.0995671 | + | 0.947318i | ||||
\(50\) | −1.07356 | + | 10.2142i | −0.151824 | + | 1.44451i | ||||
\(51\) | 0.117590 | + | 0.0249945i | 0.0164659 | + | 0.00349993i | ||||
\(52\) | 10.8503 | − | 4.83087i | 1.50467 | − | 0.669921i | ||||
\(53\) | −3.45527 | − | 3.83747i | −0.474618 | − | 0.527117i | 0.457530 | − | 0.889194i | \(-0.348734\pi\) |
−0.932148 | + | 0.362078i | \(0.882068\pi\) | |||||||
\(54\) | 0.674687 | − | 2.07647i | 0.0918132 | − | 0.282572i | ||||
\(55\) | 1.57333 | − | 1.74736i | 0.212148 | − | 0.235614i | ||||
\(56\) | 0.482596 | + | 0.835880i | 0.0644896 | + | 0.111699i | ||||
\(57\) | 0.312313 | − | 0.540943i | 0.0413669 | − | 0.0716496i | ||||
\(58\) | 4.44898 | + | 13.6926i | 0.584180 | + | 1.79792i | ||||
\(59\) | −8.65421 | − | 3.85310i | −1.12668 | − | 0.501631i | −0.243144 | − | 0.969990i | \(-0.578179\pi\) |
−0.883538 | + | 0.468359i | \(0.844845\pi\) | |||||||
\(60\) | 1.21779 | + | 0.884779i | 0.157216 | + | 0.114224i | ||||
\(61\) | 12.2514 | 1.56863 | 0.784314 | − | 0.620365i | \(-0.213015\pi\) | ||||
0.784314 | + | 0.620365i | \(0.213015\pi\) | |||||||
\(62\) | −0.853338 | − | 12.1263i | −0.108374 | − | 1.54004i | ||||
\(63\) | 0.576411 | 0.0726209 | ||||||||
\(64\) | 10.1192 | + | 7.35203i | 1.26490 | + | 0.919003i | ||||
\(65\) | 2.13333 | + | 0.949821i | 0.264607 | + | 0.117811i | ||||
\(66\) | 2.91605 | + | 8.97467i | 0.358941 | + | 1.10471i | ||||
\(67\) | 1.98252 | − | 3.43383i | 0.242204 | − | 0.419509i | −0.719138 | − | 0.694867i | \(-0.755463\pi\) |
0.961342 | + | 0.275358i | \(0.0887964\pi\) | |||||||
\(68\) | −0.166316 | − | 0.288068i | −0.0201688 | − | 0.0349334i | ||||
\(69\) | 6.25645 | − | 6.94849i | 0.753188 | − | 0.836500i | ||||
\(70\) | −0.211568 | + | 0.651140i | −0.0252872 | + | 0.0778261i | ||||
\(71\) | 0.374749 | + | 0.416201i | 0.0444745 | + | 0.0493940i | 0.764972 | − | 0.644064i | \(-0.222753\pi\) |
−0.720497 | + | 0.693458i | \(0.756086\pi\) | |||||||
\(72\) | −1.52972 | + | 0.681074i | −0.180279 | + | 0.0802654i | ||||
\(73\) | 12.3871 | + | 2.63297i | 1.44981 | + | 0.308166i | 0.864494 | − | 0.502643i | \(-0.167639\pi\) |
0.585312 | + | 0.810808i | \(0.300972\pi\) | |||||||
\(74\) | 0.453125 | − | 4.31120i | 0.0526747 | − | 0.501167i | ||||
\(75\) | −0.491706 | − | 4.67827i | −0.0567773 | − | 0.540200i | ||||
\(76\) | −1.69054 | + | 0.359335i | −0.193918 | + | 0.0412185i | ||||
\(77\) | −2.01550 | + | 1.46434i | −0.229687 | + | 0.166877i | ||||
\(78\) | −7.58210 | + | 5.50872i | −0.858504 | + | 0.623740i | ||||
\(79\) | −13.0672 | + | 2.77752i | −1.47017 | + | 0.312495i | −0.872251 | − | 0.489058i | \(-0.837340\pi\) |
−0.597923 | + | 0.801554i | \(0.704007\pi\) | |||||||
\(80\) | 0.106789 | + | 1.01603i | 0.0119394 | + | 0.113596i | ||||
\(81\) | −0.104528 | + | 0.994522i | −0.0116143 | + | 0.110502i | ||||
\(82\) | −11.8575 | − | 2.52038i | −1.30944 | − | 0.278329i | ||||
\(83\) | 6.20346 | − | 2.76196i | 0.680918 | − | 0.303164i | −0.0369764 | − | 0.999316i | \(-0.511773\pi\) |
0.717895 | + | 0.696152i | \(0.245106\pi\) | |||||||
\(84\) | −1.06719 | − | 1.18524i | −0.116440 | − | 0.129320i | ||||
\(85\) | 0.0202099 | − | 0.0621996i | 0.00219207 | − | 0.00674650i | ||||
\(86\) | 5.18116 | − | 5.75426i | 0.558699 | − | 0.620498i | ||||
\(87\) | −3.29707 | − | 5.71070i | −0.353483 | − | 0.612251i | ||||
\(88\) | 3.61862 | − | 6.26764i | 0.385747 | − | 0.668133i | ||||
\(89\) | −5.19694 | − | 15.9945i | −0.550875 | − | 1.69542i | −0.706596 | − | 0.707618i | \(-0.749770\pi\) |
0.155721 | − | 0.987801i | \(-0.450230\pi\) | |||||||
\(90\) | −1.08509 | − | 0.483114i | −0.114379 | − | 0.0509247i | ||||
\(91\) | −2.00171 | − | 1.45433i | −0.209837 | − | 0.152455i | ||||
\(92\) | −25.8712 | −2.69726 | ||||||||
\(93\) | 1.53705 | + | 5.35140i | 0.159385 | + | 0.554914i | ||||
\(94\) | 7.23684 | 0.746423 | ||||||||
\(95\) | −0.274912 | − | 0.199736i | −0.0282054 | − | 0.0204924i | ||||
\(96\) | −6.80509 | − | 3.02982i | −0.694542 | − | 0.309230i | ||||
\(97\) | −3.46887 | − | 10.6761i | −0.352210 | − | 1.08399i | −0.957610 | − | 0.288069i | \(-0.906987\pi\) |
0.605400 | − | 0.795922i | \(-0.293013\pi\) | |||||||
\(98\) | −7.27896 | + | 12.6075i | −0.735286 | + | 1.27355i | ||||
\(99\) | −2.16104 | − | 3.74303i | −0.217192 | − | 0.376188i | ||||
\(100\) | −8.70927 | + | 9.67262i | −0.870927 | + | 0.967262i | ||||
\(101\) | −0.439522 | + | 1.35271i | −0.0437341 | + | 0.134600i | −0.970539 | − | 0.240942i | \(-0.922543\pi\) |
0.926805 | + | 0.375542i | \(0.122543\pi\) | |||||||
\(102\) | 0.175629 | + | 0.195056i | 0.0173898 | + | 0.0193134i | ||||
\(103\) | −3.84029 | + | 1.70981i | −0.378395 | + | 0.168472i | −0.587116 | − | 0.809503i | \(-0.699737\pi\) |
0.208721 | + | 0.977975i | \(0.433070\pi\) | |||||||
\(104\) | 7.03069 | + | 1.49442i | 0.689416 | + | 0.146540i | ||||
\(105\) | 0.0327780 | − | 0.311862i | 0.00319881 | − | 0.0304346i | ||||
\(106\) | −1.17849 | − | 11.2126i | −0.114465 | − | 1.08906i | ||||
\(107\) | 18.9572 | − | 4.02948i | 1.83267 | − | 0.389545i | 0.843594 | − | 0.536982i | \(-0.180436\pi\) |
0.989071 | + | 0.147437i | \(0.0471024\pi\) | |||||||
\(108\) | 2.23850 | − | 1.62637i | 0.215400 | − | 0.156497i | ||||
\(109\) | −10.7171 | + | 7.78644i | −1.02651 | + | 0.745805i | −0.967608 | − | 0.252458i | \(-0.918761\pi\) |
−0.0589053 | + | 0.998264i | \(0.518761\pi\) | |||||||
\(110\) | 5.02149 | − | 1.06735i | 0.478780 | − | 0.101768i | ||||
\(111\) | 0.207538 | + | 1.97460i | 0.0196987 | + | 0.187420i | ||||
\(112\) | 0.113147 | − | 1.07652i | 0.0106914 | − | 0.101722i | ||||
\(113\) | 4.20774 | + | 0.894383i | 0.395831 | + | 0.0841365i | 0.401527 | − | 0.915847i | \(-0.368480\pi\) |
−0.00569564 | + | 0.999984i | \(0.501813\pi\) | |||||||
\(114\) | 1.24586 | − | 0.554694i | 0.116686 | − | 0.0519519i | ||||
\(115\) | −3.40365 | − | 3.78013i | −0.317392 | − | 0.352499i | ||||
\(116\) | −5.63820 | + | 17.3526i | −0.523494 | + | 1.61115i | ||||
\(117\) | 2.87226 | − | 3.18996i | 0.265540 | − | 0.294912i | ||||
\(118\) | −10.3416 | − | 17.9122i | −0.952020 | − | 1.64895i | ||||
\(119\) | −0.0346471 | + | 0.0600106i | −0.00317610 | + | 0.00550116i | ||||
\(120\) | 0.281501 | + | 0.866371i | 0.0256974 | + | 0.0790885i | ||||
\(121\) | 7.01633 | + | 3.12387i | 0.637848 | + | 0.283988i | ||||
\(122\) | 21.6402 | + | 15.7226i | 1.95922 | + | 1.42345i | ||||
\(123\) | 5.55223 | 0.500628 | ||||||||
\(124\) | 8.15799 | − | 13.0684i | 0.732609 | − | 1.17357i | ||||
\(125\) | −5.27921 | −0.472187 | ||||||||
\(126\) | 1.01814 | + | 0.739726i | 0.0907035 | + | 0.0659000i | ||||
\(127\) | 12.7961 | + | 5.69719i | 1.13547 | + | 0.505544i | 0.886390 | − | 0.462939i | \(-0.153205\pi\) |
0.249080 | + | 0.968483i | \(0.419872\pi\) | |||||||
\(128\) | 3.83520 | + | 11.8035i | 0.338987 | + | 1.04329i | ||||
\(129\) | −1.77324 | + | 3.07133i | −0.156125 | + | 0.270416i | ||||
\(130\) | 2.54928 | + | 4.41549i | 0.223587 | + | 0.387264i | ||||
\(131\) | −2.10129 | + | 2.33372i | −0.183591 | + | 0.203898i | −0.827914 | − | 0.560855i | \(-0.810472\pi\) |
0.644323 | + | 0.764753i | \(0.277139\pi\) | |||||||
\(132\) | −3.69551 | + | 11.3736i | −0.321653 | + | 0.989946i | ||||
\(133\) | 0.240915 | + | 0.267563i | 0.0208900 | + | 0.0232007i | ||||
\(134\) | 7.90858 | − | 3.52113i | 0.683197 | − | 0.304179i | ||||
\(135\) | 0.532134 | + | 0.113108i | 0.0457988 | + | 0.00973483i | ||||
\(136\) | 0.0210417 | − | 0.200198i | 0.00180431 | − | 0.0171669i | ||||
\(137\) | −0.239309 | − | 2.27687i | −0.0204455 | − | 0.194526i | 0.979532 | − | 0.201290i | \(-0.0645135\pi\) |
−0.999977 | + | 0.00676430i | \(0.997847\pi\) | |||||||
\(138\) | 19.9683 | − | 4.24440i | 1.69982 | − | 0.361307i | ||||
\(139\) | −13.7158 | + | 9.96510i | −1.16336 | + | 0.845228i | −0.990199 | − | 0.139666i | \(-0.955397\pi\) |
−0.173158 | + | 0.984894i | \(0.555397\pi\) | |||||||
\(140\) | −0.701949 | + | 0.509996i | −0.0593255 | + | 0.0431025i | ||||
\(141\) | −3.24215 | + | 0.689141i | −0.273039 | + | 0.0580362i | ||||
\(142\) | 0.127816 | + | 1.21608i | 0.0107261 | + | 0.102052i | ||||
\(143\) | −1.93927 | + | 18.4510i | −0.162170 | + | 1.54295i | ||||
\(144\) | 1.83689 | + | 0.390442i | 0.153074 | + | 0.0325368i | ||||
\(145\) | −3.27721 | + | 1.45911i | −0.272158 | + | 0.121172i | ||||
\(146\) | 18.5011 | + | 20.5476i | 1.53116 | + | 1.70053i | ||||
\(147\) | 2.06045 | − | 6.34141i | 0.169943 | − | 0.523030i | ||||
\(148\) | 3.67599 | − | 4.08260i | 0.302165 | − | 0.335588i | ||||
\(149\) | −5.00526 | − | 8.66937i | −0.410047 | − | 0.710222i | 0.584848 | − | 0.811143i | \(-0.301154\pi\) |
−0.994894 | + | 0.100921i | \(0.967821\pi\) | |||||||
\(150\) | 5.13524 | − | 8.89450i | 0.419291 | − | 0.726233i | ||||
\(151\) | −1.93017 | − | 5.94046i | −0.157075 | − | 0.483428i | 0.841290 | − | 0.540584i | \(-0.181797\pi\) |
−0.998365 | + | 0.0571563i | \(0.981797\pi\) | |||||||
\(152\) | −0.955503 | − | 0.425417i | −0.0775015 | − | 0.0345059i | ||||
\(153\) | −0.0972574 | − | 0.0706617i | −0.00786280 | − | 0.00571266i | ||||
\(154\) | −5.43931 | −0.438312 | ||||||||
\(155\) | 2.98274 | − | 0.527296i | 0.239579 | − | 0.0423534i | ||||
\(156\) | −11.8771 | −0.950933 | ||||||||
\(157\) | 6.25331 | + | 4.54330i | 0.499069 | + | 0.362595i | 0.808661 | − | 0.588275i | \(-0.200193\pi\) |
−0.309592 | + | 0.950869i | \(0.600193\pi\) | |||||||
\(158\) | −26.6457 | − | 11.8635i | −2.11982 | − | 0.943805i | ||||
\(159\) | 1.59571 | + | 4.91109i | 0.126548 | + | 0.389474i | ||||
\(160\) | −2.02624 | + | 3.50954i | −0.160188 | + | 0.277454i | ||||
\(161\) | 2.69475 | + | 4.66745i | 0.212376 | + | 0.367847i | ||||
\(162\) | −1.46093 | + | 1.62253i | −0.114782 | + | 0.127478i | ||||
\(163\) | 3.29115 | − | 10.1291i | 0.257783 | − | 0.793373i | −0.735486 | − | 0.677540i | \(-0.763046\pi\) |
0.993269 | − | 0.115833i | \(-0.0369539\pi\) | |||||||
\(164\) | −10.2796 | − | 11.4167i | −0.802705 | − | 0.891494i | ||||
\(165\) | −2.14802 | + | 0.956361i | −0.167223 | + | 0.0744526i | ||||
\(166\) | 14.5020 | + | 3.08250i | 1.12557 | + | 0.239248i | ||||
\(167\) | −1.35749 | + | 12.9156i | −0.105045 | + | 0.999441i | 0.807334 | + | 0.590095i | \(0.200910\pi\) |
−0.912379 | + | 0.409346i | \(0.865757\pi\) | |||||||
\(168\) | −0.100890 | − | 0.959904i | −0.00778383 | − | 0.0740582i | ||||
\(169\) | −5.30716 | + | 1.12807i | −0.408243 | + | 0.0867747i | ||||
\(170\) | 0.115520 | − | 0.0839305i | 0.00886002 | − | 0.00643718i | ||||
\(171\) | −0.505334 | + | 0.367146i | −0.0386438 | + | 0.0280764i | ||||
\(172\) | 9.59844 | − | 2.04021i | 0.731874 | − | 0.155565i | ||||
\(173\) | −0.284007 | − | 2.70215i | −0.0215927 | − | 0.205441i | 0.978407 | − | 0.206690i | \(-0.0662691\pi\) |
−0.999999 | + | 0.00124914i | \(0.999602\pi\) | |||||||
\(174\) | 1.50492 | − | 14.3183i | 0.114088 | − | 1.08547i | ||||
\(175\) | 2.65221 | + | 0.563744i | 0.200488 | + | 0.0426150i | ||||
\(176\) | −7.41481 | + | 3.30129i | −0.558912 | + | 0.248844i | ||||
\(177\) | 6.33882 | + | 7.03997i | 0.476455 | + | 0.529157i | ||||
\(178\) | 11.3467 | − | 34.9214i | 0.850468 | − | 2.61747i | ||||
\(179\) | −4.82179 | + | 5.35514i | −0.360397 | + | 0.400262i | −0.895888 | − | 0.444279i | \(-0.853460\pi\) |
0.535491 | + | 0.844541i | \(0.320127\pi\) | |||||||
\(180\) | −0.752638 | − | 1.30361i | −0.0560983 | − | 0.0971651i | ||||
\(181\) | −10.1723 | + | 17.6190i | −0.756102 | + | 1.30961i | 0.188723 | + | 0.982030i | \(0.439565\pi\) |
−0.944825 | + | 0.327577i | \(0.893768\pi\) | |||||||
\(182\) | −1.66935 | − | 5.13772i | −0.123740 | − | 0.380833i | ||||
\(183\) | −11.1922 | − | 4.98308i | −0.827350 | − | 0.368360i | ||||
\(184\) | −12.6665 | − | 9.20274i | −0.933785 | − | 0.678435i | ||||
\(185\) | 1.08014 | 0.0794135 | ||||||||
\(186\) | −4.15264 | + | 11.4250i | −0.304487 | + | 0.837722i | ||||
\(187\) | 0.519586 | 0.0379959 | ||||||||
\(188\) | 7.41971 | + | 5.39073i | 0.541138 | + | 0.393160i | ||||
\(189\) | −0.526577 | − | 0.234447i | −0.0383029 | − | 0.0170535i | ||||
\(190\) | −0.229266 | − | 0.705607i | −0.0166327 | − | 0.0511901i | ||||
\(191\) | 6.39185 | − | 11.0710i | 0.462498 | − | 0.801070i | −0.536587 | − | 0.843845i | \(-0.680287\pi\) |
0.999085 | + | 0.0427751i | \(0.0136199\pi\) | |||||||
\(192\) | −6.25401 | − | 10.8323i | −0.451344 | − | 0.781751i | ||||
\(193\) | −11.0964 | + | 12.3238i | −0.798734 | + | 0.887084i | −0.995634 | − | 0.0933396i | \(-0.970246\pi\) |
0.196900 | + | 0.980424i | \(0.436912\pi\) | |||||||
\(194\) | 7.57369 | − | 23.3094i | 0.543759 | − | 1.67352i | ||||
\(195\) | −1.56257 | − | 1.73541i | −0.111898 | − | 0.124275i | ||||
\(196\) | −16.8542 | + | 7.50399i | −1.20387 | + | 0.535999i | ||||
\(197\) | 3.08970 | + | 0.656736i | 0.220132 | + | 0.0467905i | 0.316657 | − | 0.948540i | \(-0.397439\pi\) |
−0.0965252 | + | 0.995331i | \(0.530773\pi\) | |||||||
\(198\) | 0.986385 | − | 9.38483i | 0.0700994 | − | 0.666951i | ||||
\(199\) | 0.917406 | + | 8.72854i | 0.0650332 | + | 0.618750i | 0.977694 | + | 0.210033i | \(0.0673570\pi\) |
−0.912661 | + | 0.408717i | \(0.865976\pi\) | |||||||
\(200\) | −7.70472 | + | 1.63769i | −0.544806 | + | 0.115802i | ||||
\(201\) | −3.20779 | + | 2.33060i | −0.226260 | + | 0.164388i | ||||
\(202\) | −2.51233 | + | 1.82531i | −0.176767 | + | 0.128428i | ||||
\(203\) | 3.71788 | − | 0.790259i | 0.260944 | − | 0.0554653i | ||||
\(204\) | 0.0347696 | + | 0.330810i | 0.00243436 | + | 0.0231614i | ||||
\(205\) | 0.315732 | − | 3.00399i | 0.0220517 | − | 0.209808i | ||||
\(206\) | −8.97755 | − | 1.90824i | −0.625496 | − | 0.132953i | ||||
\(207\) | −8.54176 | + | 3.80304i | −0.593693 | + | 0.264329i | ||||
\(208\) | −5.39387 | − | 5.99050i | −0.373998 | − | 0.415367i | ||||
\(209\) | 0.834248 | − | 2.56755i | 0.0577061 | − | 0.177601i | ||||
\(210\) | 0.458120 | − | 0.508794i | 0.0316133 | − | 0.0351101i | ||||
\(211\) | −6.17467 | − | 10.6948i | −0.425082 | − | 0.736263i | 0.571346 | − | 0.820709i | \(-0.306421\pi\) |
−0.996428 | + | 0.0844461i | \(0.973088\pi\) | |||||||
\(212\) | 7.14399 | − | 12.3738i | 0.490651 | − | 0.849833i | ||||
\(213\) | −0.173066 | − | 0.532643i | −0.0118583 | − | 0.0364961i | ||||
\(214\) | 38.6563 | + | 17.2109i | 2.64249 | + | 1.17651i | ||||
\(215\) | 1.56088 | + | 1.13405i | 0.106451 | + | 0.0773414i | ||||
\(216\) | 1.67449 | 0.113934 | ||||||||
\(217\) | −3.20741 | − | 0.110586i | −0.217733 | − | 0.00750709i | ||||
\(218\) | −28.9228 | −1.95890 | ||||||||
\(219\) | −10.2453 | − | 7.44364i | −0.692313 | − | 0.502995i | ||||
\(220\) | 5.94345 | + | 2.64619i | 0.400707 | + | 0.178406i | ||||
\(221\) | 0.159463 | + | 0.490776i | 0.0107266 | + | 0.0330132i | ||||
\(222\) | −2.16747 | + | 3.75417i | −0.145471 | + | 0.251964i | ||||
\(223\) | 11.7632 | + | 20.3744i | 0.787721 | + | 1.36437i | 0.927360 | + | 0.374170i | \(0.122072\pi\) |
−0.139639 | + | 0.990202i | \(0.544594\pi\) | |||||||
\(224\) | 2.87307 | − | 3.19087i | 0.191965 | − | 0.213199i | ||||
\(225\) | −1.45363 | + | 4.47381i | −0.0969086 | + | 0.298254i | ||||
\(226\) | 6.28457 | + | 6.97972i | 0.418043 | + | 0.464284i | ||||
\(227\) | −3.39523 | + | 1.51166i | −0.225350 | + | 0.100332i | −0.516306 | − | 0.856404i | \(-0.672693\pi\) |
0.290956 | + | 0.956736i | \(0.406027\pi\) | |||||||
\(228\) | 1.69054 | + | 0.359335i | 0.111959 | + | 0.0237975i | ||||
\(229\) | 0.540282 | − | 5.14044i | 0.0357028 | − | 0.339690i | −0.962060 | − | 0.272838i | \(-0.912038\pi\) |
0.997763 | − | 0.0668520i | \(-0.0212955\pi\) | |||||||
\(230\) | −1.16088 | − | 11.0450i | −0.0765462 | − | 0.728289i | ||||
\(231\) | 2.43685 | − | 0.517968i | 0.160333 | − | 0.0340798i | ||||
\(232\) | −8.93300 | + | 6.49020i | −0.586480 | + | 0.426103i | ||||
\(233\) | 13.3708 | − | 9.71443i | 0.875948 | − | 0.636413i | −0.0562286 | − | 0.998418i | \(-0.517908\pi\) |
0.932176 | + | 0.362005i | \(0.117908\pi\) | |||||||
\(234\) | 9.16720 | − | 1.94855i | 0.599278 | − | 0.127381i | ||||
\(235\) | 0.188486 | + | 1.79333i | 0.0122955 | + | 0.116984i | ||||
\(236\) | 2.73988 | − | 26.0682i | 0.178351 | − | 1.69690i | ||||
\(237\) | 13.0672 | + | 2.77752i | 0.848805 | + | 0.180419i | ||||
\(238\) | −0.138212 | + | 0.0615362i | −0.00895898 | + | 0.00398880i | ||||
\(239\) | 9.09910 | + | 10.1056i | 0.588572 | + | 0.653675i | 0.961700 | − | 0.274104i | \(-0.0883814\pi\) |
−0.373128 | + | 0.927780i | \(0.621715\pi\) | |||||||
\(240\) | 0.315701 | − | 0.971629i | 0.0203784 | − | 0.0627184i | ||||
\(241\) | 4.70863 | − | 5.22946i | 0.303309 | − | 0.336859i | −0.572152 | − | 0.820148i | \(-0.693891\pi\) |
0.875461 | + | 0.483289i | \(0.160558\pi\) | |||||||
\(242\) | 8.38435 | + | 14.5221i | 0.538967 | + | 0.933517i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 10.4753 | + | 32.2397i | 0.670613 | + | 2.06393i | ||||
\(245\) | −3.31380 | − | 1.47540i | −0.211711 | − | 0.0942597i | ||||
\(246\) | 9.80720 | + | 7.12534i | 0.625284 | + | 0.454295i | ||||
\(247\) | 2.68122 | 0.170602 | ||||||||
\(248\) | 8.64272 | − | 3.49633i | 0.548813 | − | 0.222017i | ||||
\(249\) | −6.79053 | −0.430332 | ||||||||
\(250\) | −9.32495 | − | 6.77497i | −0.589761 | − | 0.428487i | ||||
\(251\) | 0.773256 | + | 0.344276i | 0.0488075 | + | 0.0217305i | 0.430995 | − | 0.902354i | \(-0.358163\pi\) |
−0.382188 | + | 0.924085i | \(0.624829\pi\) | |||||||
\(252\) | 0.492849 | + | 1.51683i | 0.0310466 | + | 0.0955516i | ||||
\(253\) | 20.2060 | − | 34.9977i | 1.27034 | − | 2.20029i | ||||
\(254\) | 15.2910 | + | 26.4849i | 0.959445 | + | 1.66181i | ||||
\(255\) | −0.0437615 | + | 0.0486021i | −0.00274045 | + | 0.00304358i | ||||
\(256\) | −0.643129 | + | 1.97935i | −0.0401955 | + | 0.123709i | ||||
\(257\) | −16.4264 | − | 18.2434i | −1.02465 | − | 1.13799i | −0.990351 | − | 0.138579i | \(-0.955747\pi\) |
−0.0342998 | − | 0.999412i | \(-0.510920\pi\) | |||||||
\(258\) | −7.07370 | + | 3.14941i | −0.440389 | + | 0.196074i | ||||
\(259\) | −1.11944 | − | 0.237944i | −0.0695585 | − | 0.0147851i | ||||
\(260\) | −0.675403 | + | 6.42603i | −0.0418867 | + | 0.398525i | ||||
\(261\) | 0.689276 | + | 6.55802i | 0.0426651 | + | 0.405931i | ||||
\(262\) | −6.70655 | + | 1.42552i | −0.414332 | + | 0.0880690i | ||||
\(263\) | 5.22313 | − | 3.79483i | 0.322072 | − | 0.233999i | −0.414987 | − | 0.909827i | \(-0.636214\pi\) |
0.737059 | + | 0.675828i | \(0.236214\pi\) | |||||||
\(264\) | −5.85506 | + | 4.25395i | −0.360354 | + | 0.261812i | ||||
\(265\) | 2.74784 | − | 0.584072i | 0.168799 | − | 0.0358793i | ||||
\(266\) | 0.0821688 | + | 0.781784i | 0.00503809 | + | 0.0479343i | ||||
\(267\) | −1.75792 | + | 16.7255i | −0.107583 | + | 1.02359i | ||||
\(268\) | 10.7313 | + | 2.28101i | 0.655519 | + | 0.139335i | ||||
\(269\) | −15.3532 | + | 6.83568i | −0.936100 | + | 0.416779i | −0.817347 | − | 0.576145i | \(-0.804556\pi\) |
−0.118753 | + | 0.992924i | \(0.537890\pi\) | |||||||
\(270\) | 0.794780 | + | 0.882693i | 0.0483688 | + | 0.0537190i | ||||
\(271\) | −5.69001 | + | 17.5121i | −0.345644 | + | 1.06378i | 0.615595 | + | 0.788063i | \(0.288916\pi\) |
−0.961238 | + | 0.275719i | \(0.911084\pi\) | |||||||
\(272\) | −0.151061 | + | 0.167771i | −0.00915945 | + | 0.0101726i | ||||
\(273\) | 1.23713 | + | 2.14277i | 0.0748743 | + | 0.129686i | ||||
\(274\) | 2.49927 | − | 4.32887i | 0.150987 | − | 0.261517i | ||||
\(275\) | −6.28269 | − | 19.3361i | −0.378860 | − | 1.16601i | ||||
\(276\) | 23.6345 | + | 10.5228i | 1.42263 | + | 0.633396i | ||||
\(277\) | −10.1449 | − | 7.37069i | −0.609547 | − | 0.442862i | 0.239708 | − | 0.970845i | \(-0.422948\pi\) |
−0.849255 | + | 0.527983i | \(0.822948\pi\) | |||||||
\(278\) | −37.0154 | −2.22004 | ||||||||
\(279\) | 0.772447 | − | 5.51392i | 0.0462452 | − | 0.330110i | ||||
\(280\) | −0.525085 | −0.0313798 | ||||||||
\(281\) | 1.14013 | + | 0.828350i | 0.0680142 | + | 0.0494152i | 0.621273 | − | 0.783594i | \(-0.286616\pi\) |
−0.553259 | + | 0.833010i | \(0.686616\pi\) | |||||||
\(282\) | −6.61119 | − | 2.94349i | −0.393690 | − | 0.175282i | ||||
\(283\) | −9.87852 | − | 30.4030i | −0.587217 | − | 1.80727i | −0.590179 | − | 0.807273i | \(-0.700943\pi\) |
0.00296144 | − | 0.999996i | \(-0.499057\pi\) | |||||||
\(284\) | −0.774818 | + | 1.34202i | −0.0459770 | + | 0.0796344i | ||||
\(285\) | 0.169905 | + | 0.294285i | 0.0100643 | + | 0.0174319i | ||||
\(286\) | −27.1041 | + | 30.1022i | −1.60270 | + | 1.77998i | ||||
\(287\) | −0.988967 | + | 3.04373i | −0.0583769 | + | 0.179666i | ||||
\(288\) | 4.98442 | + | 5.53576i | 0.293710 | + | 0.326198i | ||||
\(289\) | −15.5171 | + | 6.90864i | −0.912769 | + | 0.406391i | ||||
\(290\) | −7.66124 | − | 1.62845i | −0.449883 | − | 0.0956257i | ||||
\(291\) | −1.17338 | + | 11.1640i | −0.0687849 | + | 0.654445i | ||||
\(292\) | 3.66270 | + | 34.8483i | 0.214343 | + | 2.03934i | ||||
\(293\) | −27.6152 | + | 5.86979i | −1.61330 | + | 0.342917i | −0.924246 | − | 0.381797i | \(-0.875305\pi\) |
−0.689050 | + | 0.724714i | \(0.741972\pi\) | |||||||
\(294\) | 11.7776 | − | 8.55693i | 0.686884 | − | 0.499050i | ||||
\(295\) | 4.16938 | − | 3.02923i | 0.242751 | − | 0.176369i | ||||
\(296\) | 3.25199 | − | 0.691232i | 0.189018 | − | 0.0401771i | ||||
\(297\) | 0.451780 | + | 4.29840i | 0.0262149 | + | 0.249418i | ||||
\(298\) | 2.28460 | − | 21.7366i | 0.132344 | − | 1.25917i | ||||
\(299\) | 39.2585 | + | 8.34465i | 2.27038 | + | 0.482584i | ||||
\(300\) | 11.8905 | − | 5.29400i | 0.686500 | − | 0.305649i | ||||
\(301\) | −1.36785 | − | 1.51915i | −0.0788417 | − | 0.0875626i | ||||
\(302\) | 4.21421 | − | 12.9700i | 0.242500 | − | 0.746339i | ||||
\(303\) | 0.951720 | − | 1.05699i | 0.0546749 | − | 0.0607226i | ||||
\(304\) | 0.586500 | + | 1.01585i | 0.0336381 | + | 0.0582629i | ||||
\(305\) | −3.33251 | + | 5.77207i | −0.190819 | + | 0.330508i | ||||
\(306\) | −0.0811087 | − | 0.249627i | −0.00463667 | − | 0.0142702i | ||||
\(307\) | 7.95900 | + | 3.54358i | 0.454244 | + | 0.202243i | 0.621088 | − | 0.783741i | \(-0.286691\pi\) |
−0.166844 | + | 0.985983i | \(0.553358\pi\) | |||||||
\(308\) | −5.57676 | − | 4.05175i | −0.317765 | − | 0.230870i | ||||
\(309\) | 4.20372 | 0.239141 | ||||||||
\(310\) | 5.94526 | + | 2.89644i | 0.337668 | + | 0.164507i | ||||
\(311\) | 26.5726 | 1.50679 | 0.753396 | − | 0.657567i | \(-0.228414\pi\) | ||||
0.753396 | + | 0.657567i | \(0.228414\pi\) | |||||||
\(312\) | −5.81502 | − | 4.22486i | −0.329211 | − | 0.239186i | ||||
\(313\) | 0.575297 | + | 0.256139i | 0.0325177 | + | 0.0144778i | 0.422931 | − | 0.906162i | \(-0.361001\pi\) |
−0.390413 | + | 0.920640i | \(0.627668\pi\) | |||||||
\(314\) | 5.21500 | + | 16.0501i | 0.294300 | + | 0.905761i | ||||
\(315\) | −0.156790 | + | 0.271568i | −0.00883412 | + | 0.0153011i | ||||
\(316\) | −18.4819 | − | 32.0117i | −1.03969 | − | 1.80080i | ||||
\(317\) | 11.7477 | − | 13.0472i | 0.659818 | − | 0.732802i | −0.316631 | − | 0.948549i | \(-0.602552\pi\) |
0.976449 | + | 0.215746i | \(0.0692184\pi\) | |||||||
\(318\) | −3.48396 | + | 10.7225i | −0.195371 | + | 0.601290i | ||||
\(319\) | −19.0705 | − | 21.1799i | −1.06774 | − | 1.18585i | ||||
\(320\) | −6.21634 | + | 2.76769i | −0.347504 | + | 0.154719i | ||||
\(321\) | −18.9572 | − | 4.02948i | −1.05809 | − | 0.224904i | ||||
\(322\) | −1.23000 | + | 11.7026i | −0.0685450 | + | 0.652162i | ||||
\(323\) | −0.00784911 | − | 0.0746793i | −0.000436736 | − | 0.00415527i | ||||
\(324\) | −2.70648 | + | 0.575279i | −0.150360 | + | 0.0319600i | ||||
\(325\) | 16.3358 | − | 11.8687i | 0.906148 | − | 0.658355i | ||||
\(326\) | 18.8123 | − | 13.6680i | 1.04192 | − | 0.756998i | ||||
\(327\) | 12.9576 | − | 2.75422i | 0.716557 | − | 0.152309i | ||||
\(328\) | −0.971814 | − | 9.24619i | −0.0536595 | − | 0.510536i | ||||
\(329\) | 0.199708 | − | 1.90010i | 0.0110103 | − | 0.104756i | ||||
\(330\) | −5.02149 | − | 1.06735i | −0.276424 | − | 0.0587557i | ||||
\(331\) | 23.9416 | − | 10.6595i | 1.31595 | − | 0.585898i | 0.375812 | − | 0.926696i | \(-0.377364\pi\) |
0.940137 | + | 0.340798i | \(0.110697\pi\) | |||||||
\(332\) | 12.5723 | + | 13.9629i | 0.689994 | + | 0.766316i | ||||
\(333\) | 0.613545 | − | 1.88830i | 0.0336220 | − | 0.103478i | ||||
\(334\) | −18.9728 | + | 21.0714i | −1.03815 | + | 1.15298i | ||||
\(335\) | 1.07854 | + | 1.86808i | 0.0589267 | + | 0.102064i | ||||
\(336\) | −0.541227 | + | 0.937433i | −0.0295264 | + | 0.0511412i | ||||
\(337\) | 0.562376 | + | 1.73081i | 0.0306346 | + | 0.0942835i | 0.965205 | − | 0.261495i | \(-0.0842156\pi\) |
−0.934570 | + | 0.355779i | \(0.884216\pi\) | |||||||
\(338\) | −10.8220 | − | 4.81826i | −0.588639 | − | 0.262079i | ||||
\(339\) | −3.48019 | − | 2.52850i | −0.189018 | − | 0.137329i | ||||
\(340\) | 0.180959 | 0.00981390 | ||||||||
\(341\) | 11.3069 | + | 21.2425i | 0.612302 | + | 1.15035i | ||||
\(342\) | −1.36377 | −0.0737441 | ||||||||
\(343\) | 6.37363 | + | 4.63071i | 0.344144 | + | 0.250035i | ||||
\(344\) | 5.42510 | + | 2.41541i | 0.292502 | + | 0.130230i | ||||
\(345\) | 1.57187 | + | 4.83771i | 0.0846265 | + | 0.260453i | ||||
\(346\) | 2.96609 | − | 5.13742i | 0.159458 | − | 0.276190i | ||||
\(347\) | −10.7444 | − | 18.6098i | −0.576787 | − | 0.999025i | −0.995845 | − | 0.0910652i | \(-0.970973\pi\) |
0.419058 | − | 0.907960i | \(-0.362361\pi\) | |||||||
\(348\) | 12.2087 | − | 13.5591i | 0.654454 | − | 0.726845i | ||||
\(349\) | 1.45587 | − | 4.48070i | 0.0779307 | − | 0.239846i | −0.904500 | − | 0.426474i | \(-0.859756\pi\) |
0.982431 | + | 0.186627i | \(0.0597557\pi\) | |||||||
\(350\) | 3.96126 | + | 4.39943i | 0.211738 | + | 0.235159i | ||||
\(351\) | −3.92141 | + | 1.74592i | −0.209309 | + | 0.0931906i | ||||
\(352\) | −31.4920 | − | 6.69383i | −1.67853 | − | 0.356783i | ||||
\(353\) | 1.04070 | − | 9.90156i | 0.0553907 | − | 0.527007i | −0.931283 | − | 0.364296i | \(-0.881310\pi\) |
0.986674 | − | 0.162711i | \(-0.0520237\pi\) | |||||||
\(354\) | 2.16198 | + | 20.5699i | 0.114908 | + | 1.09328i | ||||
\(355\) | −0.298023 | + | 0.0633468i | −0.0158174 | + | 0.00336210i | ||||
\(356\) | 37.6464 | − | 27.3517i | 1.99525 | − | 1.44964i | ||||
\(357\) | 0.0560602 | − | 0.0407301i | 0.00296702 | − | 0.00215567i | ||||
\(358\) | −15.3894 | + | 3.27112i | −0.813354 | + | 0.172884i | ||||
\(359\) | 2.50730 | + | 23.8554i | 0.132330 | + | 1.25904i | 0.836087 | + | 0.548597i | \(0.184838\pi\) |
−0.703756 | + | 0.710441i | \(0.748495\pi\) | |||||||
\(360\) | 0.0952209 | − | 0.905966i | 0.00501858 | − | 0.0477486i | ||||
\(361\) | 18.2032 | + | 3.86920i | 0.958062 | + | 0.203642i | ||||
\(362\) | −40.5788 | + | 18.0669i | −2.13278 | + | 0.949573i | ||||
\(363\) | −5.13914 | − | 5.70759i | −0.269735 | − | 0.299571i | ||||
\(364\) | 2.11557 | − | 6.51104i | 0.110886 | − | 0.341271i | ||||
\(365\) | −4.60993 | + | 5.11984i | −0.241295 | + | 0.267985i | ||||
\(366\) | −13.3744 | − | 23.1652i | −0.699091 | − | 1.21086i | ||||
\(367\) | −8.25388 | + | 14.2961i | −0.430849 | + | 0.746252i | −0.996947 | − | 0.0780859i | \(-0.975119\pi\) |
0.566098 | + | 0.824338i | \(0.308452\pi\) | |||||||
\(368\) | 5.42597 | + | 16.6994i | 0.282848 | + | 0.870517i | ||||
\(369\) | −5.07221 | − | 2.25829i | −0.264049 | − | 0.117562i | ||||
\(370\) | 1.90791 | + | 1.38618i | 0.0991875 | + | 0.0720639i | ||||
\(371\) | −2.97648 | −0.154531 | ||||||||
\(372\) | −12.7681 | + | 8.62038i | −0.661994 | + | 0.446946i | ||||
\(373\) | −33.4166 | −1.73024 | −0.865122 | − | 0.501561i | \(-0.832759\pi\) | ||||
−0.865122 | + | 0.501561i | \(0.832759\pi\) | |||||||
\(374\) | 0.917772 | + | 0.666800i | 0.0474569 | + | 0.0344794i | ||||
\(375\) | 4.82280 | + | 2.14725i | 0.249048 | + | 0.110883i | ||||
\(376\) | 1.71511 | + | 5.27858i | 0.0884503 | + | 0.272222i | ||||
\(377\) | 14.1527 | − | 24.5133i | 0.728903 | − | 1.26250i | ||||
\(378\) | −0.629248 | − | 1.08989i | −0.0323650 | − | 0.0560579i | ||||
\(379\) | 18.9300 | − | 21.0239i | 0.972368 | − | 1.07992i | −0.0244085 | − | 0.999702i | \(-0.507770\pi\) |
0.996777 | − | 0.0802225i | \(-0.0255631\pi\) | |||||||
\(380\) | 0.290549 | − | 0.894217i | 0.0149048 | − | 0.0458724i | ||||
\(381\) | −9.37256 | − | 10.4093i | −0.480171 | − | 0.533284i | ||||
\(382\) | 25.4980 | − | 11.3525i | 1.30459 | − | 0.580842i | ||||
\(383\) | 19.0351 | + | 4.04604i | 0.972649 | + | 0.206743i | 0.666718 | − | 0.745310i | \(-0.267699\pi\) |
0.305932 | + | 0.952053i | \(0.401032\pi\) | |||||||
\(384\) | 1.29730 | − | 12.3430i | 0.0662025 | − | 0.629874i | ||||
\(385\) | −0.141669 | − | 1.34789i | −0.00722013 | − | 0.0686949i | ||||
\(386\) | −35.4156 | + | 7.52781i | −1.80260 | + | 0.383155i | ||||
\(387\) | 2.86916 | − | 2.08456i | 0.145847 | − | 0.105964i | ||||
\(388\) | 25.1283 | − | 18.2568i | 1.27569 | − | 0.926846i | ||||
\(389\) | −24.4704 | + | 5.20134i | −1.24070 | + | 0.263718i | −0.781098 | − | 0.624409i | \(-0.785340\pi\) |
−0.459599 | + | 0.888127i | \(0.652007\pi\) | |||||||
\(390\) | −0.532946 | − | 5.07064i | −0.0269868 | − | 0.256762i | ||||
\(391\) | 0.117494 | − | 1.11788i | 0.00594194 | − | 0.0565338i | ||||
\(392\) | −10.9211 | − | 2.32134i | −0.551597 | − | 0.117246i | ||||
\(393\) | 2.86883 | − | 1.27729i | 0.144713 | − | 0.0644306i | ||||
\(394\) | 4.61469 | + | 5.12514i | 0.232485 | + | 0.258201i | ||||
\(395\) | 2.24583 | − | 6.91195i | 0.113000 | − | 0.347778i | ||||
\(396\) | 8.00208 | − | 8.88721i | 0.402120 | − | 0.446599i | ||||
\(397\) | 10.8434 | + | 18.7813i | 0.544214 | + | 0.942605i | 0.998656 | + | 0.0518293i | \(0.0165052\pi\) |
−0.454442 | + | 0.890776i | \(0.650161\pi\) | |||||||
\(398\) | −9.58114 | + | 16.5950i | −0.480259 | + | 0.831833i | ||||
\(399\) | −0.111259 | − | 0.342420i | −0.00556991 | − | 0.0171424i | ||||
\(400\) | 8.07010 | + | 3.59304i | 0.403505 | + | 0.179652i | ||||
\(401\) | −15.5334 | − | 11.2857i | −0.775703 | − | 0.563581i | 0.127983 | − | 0.991776i | \(-0.459150\pi\) |
−0.903686 | + | 0.428195i | \(0.859150\pi\) | |||||||
\(402\) | −8.65702 | −0.431773 | ||||||||
\(403\) | −16.5946 | + | 17.1994i | −0.826634 | + | 0.856761i | ||||
\(404\) | −3.93548 | −0.195798 | ||||||||
\(405\) | −0.440123 | − | 0.319768i | −0.0218699 | − | 0.0158894i | ||||
\(406\) | 7.58124 | + | 3.37539i | 0.376251 | + | 0.167518i | ||||
\(407\) | 2.65179 | + | 8.16136i | 0.131444 | + | 0.404544i | ||||
\(408\) | −0.100651 | + | 0.174332i | −0.00498295 | + | 0.00863072i | ||||
\(409\) | −2.73332 | − | 4.73425i | −0.135154 | − | 0.234094i | 0.790502 | − | 0.612459i | \(-0.209820\pi\) |
−0.925656 | + | 0.378365i | \(0.876486\pi\) | |||||||
\(410\) | 4.41280 | − | 4.90091i | 0.217933 | − | 0.242039i | ||||
\(411\) | −0.707467 | + | 2.17736i | −0.0348968 | + | 0.107401i | ||||
\(412\) | −7.78295 | − | 8.64385i | −0.383439 | − | 0.425852i | ||||
\(413\) | −4.98838 | + | 2.22097i | −0.245462 | + | 0.109287i | ||||
\(414\) | −19.9683 | − | 4.24440i | −0.981389 | − | 0.208601i | ||||
\(415\) | −0.386149 | + | 3.67396i | −0.0189553 | + | 0.180348i | ||||
\(416\) | −3.34234 | − | 31.8002i | −0.163872 | − | 1.55913i | ||||
\(417\) | 16.5832 | − | 3.52486i | 0.812081 | − | 0.172613i | ||||
\(418\) | 4.76859 | − | 3.46459i | 0.233240 | − | 0.169458i | ||||
\(419\) | −20.2779 | + | 14.7327i | −0.990638 | + | 0.719741i | −0.960061 | − | 0.279792i | \(-0.909735\pi\) |
−0.0305774 | + | 0.999532i | \(0.509735\pi\) | |||||||
\(420\) | 0.848697 | − | 0.180396i | 0.0414122 | − | 0.00880243i | ||||
\(421\) | 3.02758 | + | 28.8055i | 0.147555 | + | 1.40389i | 0.778295 | + | 0.627899i | \(0.216085\pi\) |
−0.630740 | + | 0.775995i | \(0.717248\pi\) | |||||||
\(422\) | 2.81837 | − | 26.8150i | 0.137196 | − | 1.30533i | ||||
\(423\) | 3.24215 | + | 0.689141i | 0.157639 | + | 0.0335072i | ||||
\(424\) | 7.89919 | − | 3.51695i | 0.383619 | − | 0.170798i | ||||
\(425\) | −0.378396 | − | 0.420252i | −0.0183549 | − | 0.0203852i | ||||
\(426\) | 0.377861 | − | 1.16294i | 0.0183074 | − | 0.0563444i | ||||
\(427\) | 4.72528 | − | 5.24796i | 0.228672 | − | 0.253966i | ||||
\(428\) | 26.8127 | + | 46.4409i | 1.29604 | + | 2.24481i | ||||
\(429\) | 9.27629 | − | 16.0670i | 0.447864 | − | 0.775723i | ||||
\(430\) | 1.30171 | + | 4.00626i | 0.0627741 | + | 0.193199i | ||||
\(431\) | −25.2809 | − | 11.2558i | −1.21774 | − | 0.542171i | −0.305640 | − | 0.952147i | \(-0.598870\pi\) |
−0.912096 | + | 0.409976i | \(0.865537\pi\) | |||||||
\(432\) | −1.51927 | − | 1.10382i | −0.0730960 | − | 0.0531073i | ||||
\(433\) | −3.15532 | −0.151635 | −0.0758174 | − | 0.997122i | \(-0.524157\pi\) | ||||
−0.0758174 | + | 0.997122i | \(0.524157\pi\) | |||||||
\(434\) | −5.52351 | − | 4.31151i | −0.265137 | − | 0.206959i | ||||
\(435\) | 3.58736 | 0.172001 | ||||||||
\(436\) | −29.6536 | − | 21.5446i | −1.42015 | − | 1.03180i | ||||
\(437\) | −5.33541 | − | 2.37548i | −0.255227 | − | 0.113635i | ||||
\(438\) | −8.54416 | − | 26.2962i | −0.408256 | − | 1.25648i | ||||
\(439\) | −9.89805 | + | 17.1439i | −0.472408 | + | 0.818235i | −0.999501 | − | 0.0315723i | \(-0.989949\pi\) |
0.527093 | + | 0.849808i | \(0.323282\pi\) | |||||||
\(440\) | 1.96861 | + | 3.40973i | 0.0938498 | + | 0.162553i | ||||
\(441\) | −4.46160 | + | 4.95510i | −0.212457 | + | 0.235957i | ||||
\(442\) | −0.348161 | + | 1.07153i | −0.0165603 | + | 0.0509674i | ||||
\(443\) | 10.1441 | + | 11.2662i | 0.481963 | + | 0.535274i | 0.934260 | − | 0.356593i | \(-0.116062\pi\) |
−0.452297 | + | 0.891868i | \(0.649395\pi\) | |||||||
\(444\) | −5.01873 | + | 2.23448i | −0.238178 | + | 0.106044i | ||||
\(445\) | 8.94924 | + | 1.90222i | 0.424235 | + | 0.0901739i | ||||
\(446\) | −5.36920 | + | 51.0845i | −0.254239 | + | 2.41892i | ||||
\(447\) | 1.04638 | + | 9.95568i | 0.0494923 | + | 0.470888i | ||||
\(448\) | 7.05220 | − | 1.49899i | 0.333185 | − | 0.0708207i | ||||
\(449\) | 11.3978 | − | 8.28096i | 0.537894 | − | 0.390803i | −0.285408 | − | 0.958406i | \(-0.592129\pi\) |
0.823302 | + | 0.567603i | \(0.192129\pi\) | |||||||
\(450\) | −8.30900 | + | 6.03684i | −0.391690 | + | 0.284579i | ||||
\(451\) | 23.4727 | − | 4.98929i | 1.10529 | − | 0.234936i | ||||
\(452\) | 1.24417 | + | 11.8375i | 0.0585208 | + | 0.556788i | ||||
\(453\) | −0.652902 | + | 6.21195i | −0.0306760 | + | 0.291863i | ||||
\(454\) | −7.93714 | − | 1.68709i | −0.372508 | − | 0.0791791i | ||||
\(455\) | 1.22968 | − | 0.547487i | 0.0576481 | − | 0.0256666i | ||||
\(456\) | 0.699863 | + | 0.777276i | 0.0327741 | + | 0.0363993i | ||||
\(457\) | −3.14352 | + | 9.67475i | −0.147048 | + | 0.452566i | −0.997269 | − | 0.0738600i | \(-0.976468\pi\) |
0.850221 | + | 0.526426i | \(0.176468\pi\) | |||||||
\(458\) | 7.55121 | − | 8.38647i | 0.352845 | − | 0.391874i | ||||
\(459\) | 0.0601084 | + | 0.104111i | 0.00280562 | + | 0.00485948i | ||||
\(460\) | 7.03725 | − | 12.1889i | 0.328114 | − | 0.568309i | ||||
\(461\) | 0.585718 | + | 1.80266i | 0.0272796 | + | 0.0839580i | 0.963769 | − | 0.266737i | \(-0.0859454\pi\) |
−0.936490 | + | 0.350695i | \(0.885945\pi\) | |||||||
\(462\) | 4.96906 | + | 2.21237i | 0.231182 | + | 0.102929i | ||||
\(463\) | 19.5576 | + | 14.2094i | 0.908917 | + | 0.660367i | 0.940741 | − | 0.339126i | \(-0.110131\pi\) |
−0.0318234 | + | 0.999494i | \(0.510131\pi\) | |||||||
\(464\) | 12.3833 | 0.574880 | ||||||||
\(465\) | −2.93933 | − | 0.731479i | −0.136308 | − | 0.0339215i | ||||
\(466\) | 36.0843 | 1.67157 | ||||||||
\(467\) | 17.6888 | + | 12.8517i | 0.818541 | + | 0.594705i | 0.916294 | − | 0.400506i | \(-0.131166\pi\) |
−0.0977533 | + | 0.995211i | \(0.531166\pi\) | |||||||
\(468\) | 10.8503 | + | 4.83087i | 0.501556 | + | 0.223307i | ||||
\(469\) | −0.706257 | − | 2.17364i | −0.0326119 | − | 0.100369i | ||||
\(470\) | −1.96850 | + | 3.40954i | −0.0908002 | + | 0.157270i | ||||
\(471\) | −3.86476 | − | 6.69396i | −0.178079 | − | 0.308441i | ||||
\(472\) | 10.6143 | − | 11.7883i | 0.488561 | − | 0.542602i | ||||
\(473\) | −4.73665 | + | 14.5779i | −0.217791 | + | 0.670292i | ||||
\(474\) | 19.5168 | + | 21.6756i | 0.896436 | + | 0.995593i | ||||
\(475\) | −2.68424 | + | 1.19510i | −0.123161 | + | 0.0548350i | ||||
\(476\) | −0.187543 | − | 0.0398635i | −0.00859603 | − | 0.00182714i | ||||
\(477\) | 0.539766 | − | 5.13553i | 0.0247142 | − | 0.235140i | ||||
\(478\) | 3.10343 | + | 29.5272i | 0.141948 | + | 1.35054i | ||||
\(479\) | −13.2053 | + | 2.80686i | −0.603363 | + | 0.128249i | −0.499458 | − | 0.866338i | \(-0.666467\pi\) |
−0.103906 | + | 0.994587i | \(0.533134\pi\) | |||||||
\(480\) | 3.27852 | − | 2.38198i | 0.149643 | − | 0.108722i | ||||
\(481\) | −6.89499 | + | 5.00951i | −0.314385 | + | 0.228414i | ||||
\(482\) | 15.0282 | − | 3.19435i | 0.684517 | − | 0.145499i | ||||
\(483\) | −0.563357 | − | 5.35998i | −0.0256336 | − | 0.243888i | ||||
\(484\) | −2.22133 | + | 21.1346i | −0.100970 | + | 0.960663i | ||||
\(485\) | 5.97346 | + | 1.26970i | 0.271241 | + | 0.0576540i | ||||
\(486\) | 1.99457 | − | 0.888041i | 0.0904757 | − | 0.0402824i | ||||
\(487\) | −20.5554 | − | 22.8291i | −0.931455 | − | 1.03449i | −0.999323 | − | 0.0367910i | \(-0.988286\pi\) |
0.0678683 | − | 0.997694i | \(-0.478380\pi\) | |||||||
\(488\) | −6.33940 | + | 19.5107i | −0.286971 | + | 0.883207i | ||||
\(489\) | −7.12649 | + | 7.91477i | −0.322271 | + | 0.357918i | ||||
\(490\) | −3.95991 | − | 6.85877i | −0.178891 | − | 0.309848i | ||||
\(491\) | −2.07639 | + | 3.59641i | −0.0937060 | + | 0.162304i | −0.909068 | − | 0.416648i | \(-0.863205\pi\) |
0.815362 | + | 0.578952i | \(0.196538\pi\) | |||||||
\(492\) | 4.74733 | + | 14.6108i | 0.214026 | + | 0.658705i | ||||
\(493\) | −0.724192 | − | 0.322431i | −0.0326160 | − | 0.0145216i | ||||
\(494\) | 4.73598 | + | 3.44089i | 0.213082 | + | 0.154813i | ||||
\(495\) | 2.35130 | 0.105683 | ||||||||
\(496\) | −10.1464 | − | 2.52501i | −0.455585 | − | 0.113376i | ||||
\(497\) | 0.322821 | 0.0144805 | ||||||||
\(498\) | −11.9945 | − | 8.71450i | −0.537485 | − | 0.390506i | ||||
\(499\) | 18.3950 | + | 8.19000i | 0.823475 | + | 0.366635i | 0.774821 | − | 0.632181i | \(-0.217840\pi\) |
0.0486540 | + | 0.998816i | \(0.484507\pi\) | |||||||
\(500\) | −4.51389 | − | 13.8923i | −0.201867 | − | 0.621284i | ||||
\(501\) | 6.49338 | − | 11.2469i | 0.290103 | − | 0.502473i | ||||
\(502\) | 0.924023 | + | 1.60045i | 0.0412412 | + | 0.0714318i | ||||
\(503\) | 5.21162 | − | 5.78810i | 0.232375 | − | 0.258078i | −0.615669 | − | 0.788005i | \(-0.711114\pi\) |
0.848043 | + | 0.529927i | \(0.177781\pi\) | |||||||
\(504\) | −0.298260 | + | 0.917951i | −0.0132856 | + | 0.0408888i | ||||
\(505\) | −0.517756 | − | 0.575027i | −0.0230399 | − | 0.0255884i | ||||
\(506\) | 80.6045 | − | 35.8874i | 3.58331 | − | 1.59539i | ||||
\(507\) | 5.30716 | + | 1.12807i | 0.235699 | + | 0.0500994i | ||||
\(508\) | −4.05118 | + | 38.5444i | −0.179742 | + | 1.71013i | ||||
\(509\) | 2.03541 | + | 19.3656i | 0.0902180 | + | 0.858367i | 0.942258 | + | 0.334889i | \(0.108699\pi\) |
−0.852040 | + | 0.523477i | \(0.824634\pi\) | |||||||
\(510\) | −0.139671 | + | 0.0296879i | −0.00618473 | + | 0.00131460i | ||||
\(511\) | 5.90550 | − | 4.29060i | 0.261244 | − | 0.189805i | ||||
\(512\) | 16.4052 | − | 11.9191i | 0.725014 | − | 0.526754i | ||||
\(513\) | 0.610977 | − | 0.129867i | 0.0269753 | − | 0.00573378i | ||||
\(514\) | −5.60255 | − | 53.3047i | −0.247118 | − | 2.35117i | ||||
\(515\) | 0.239048 | − | 2.27439i | 0.0105337 | − | 0.100221i | ||||
\(516\) | −9.59844 | − | 2.04021i | −0.422548 | − | 0.0898153i | ||||
\(517\) | −13.0874 | + | 5.82686i | −0.575581 | + | 0.256265i | ||||
\(518\) | −1.67196 | − | 1.85690i | −0.0734618 | − | 0.0815876i | ||||
\(519\) | −0.839609 | + | 2.58405i | −0.0368548 | + | 0.113427i | ||||
\(520\) | −2.61650 | + | 2.90592i | −0.114741 | + | 0.127433i | ||||
\(521\) | −9.25284 | − | 16.0264i | −0.405374 | − | 0.702129i | 0.588991 | − | 0.808140i | \(-0.299525\pi\) |
−0.994365 | + | 0.106011i | \(0.966192\pi\) | |||||||
\(522\) | −7.19860 | + | 12.4683i | −0.315074 | + | 0.545725i | ||||
\(523\) | 2.27973 | + | 7.01630i | 0.0996858 | + | 0.306801i | 0.988447 | − | 0.151570i | \(-0.0484329\pi\) |
−0.888761 | + | 0.458371i | \(0.848433\pi\) | |||||||
\(524\) | −7.93789 | − | 3.53418i | −0.346768 | − | 0.154391i | ||||
\(525\) | −2.19362 | − | 1.59376i | −0.0957373 | − | 0.0695572i | ||||
\(526\) | 14.0959 | 0.614611 | ||||||||
\(527\) | 0.527628 | + | 0.411853i | 0.0229838 | + | 0.0179406i | ||||
\(528\) | 8.11652 | 0.353226 | ||||||||
\(529\) | −52.1207 | − | 37.8679i | −2.26612 | − | 1.64643i | ||||
\(530\) | 5.60322 | + | 2.49471i | 0.243388 | + | 0.108363i | ||||
\(531\) | −2.92738 | − | 9.00956i | −0.127038 | − | 0.390982i | ||||
\(532\) | −0.498107 | + | 0.862746i | −0.0215957 | + | 0.0374048i | ||||
\(533\) | 11.9165 | + | 20.6400i | 0.516162 | + | 0.894019i | ||||
\(534\) | −24.5695 | + | 27.2872i | −1.06323 | + | 1.18083i | ||||
\(535\) | −3.25814 | + | 10.0275i | −0.140862 | + | 0.433527i | ||||
\(536\) | 4.44263 | + | 4.93405i | 0.191893 | + | 0.213118i | ||||
\(537\) | 6.58305 | − | 2.93096i | 0.284080 | − | 0.126480i | ||||
\(538\) | −35.8916 | − | 7.62899i | −1.54740 | − | 0.328909i | ||||
\(539\) | 3.01235 | − | 28.6606i | 0.129751 | − | 1.23450i | ||||
\(540\) | 0.157344 | + | 1.49703i | 0.00677101 | + | 0.0644219i | ||||
\(541\) | 18.1177 | − | 3.85103i | 0.778940 | − | 0.165569i | 0.198750 | − | 0.980050i | \(-0.436312\pi\) |
0.580190 | + | 0.814481i | \(0.302978\pi\) | |||||||
\(542\) | −32.5243 | + | 23.6303i | −1.39704 | + | 1.01501i | ||||
\(543\) | 16.4591 | − | 11.9583i | 0.706330 | − | 0.513179i | ||||
\(544\) | −0.875938 | + | 0.186186i | −0.0375555 | + | 0.00798267i | ||||
\(545\) | −0.753305 | − | 7.16722i | −0.0322680 | − | 0.307010i | ||||
\(546\) | −0.564675 | + | 5.37253i | −0.0241659 | + | 0.229923i | ||||
\(547\) | −32.8012 | − | 6.97211i | −1.40248 | − | 0.298106i | −0.556290 | − | 0.830989i | \(-0.687775\pi\) |
−0.846189 | + | 0.532882i | \(0.821109\pi\) | |||||||
\(548\) | 5.78700 | − | 2.57654i | 0.247209 | − | 0.110064i | ||||
\(549\) | 8.19777 | + | 9.10454i | 0.349872 | + | 0.388572i | ||||
\(550\) | 13.7172 | − | 42.2172i | 0.584903 | − | 1.80015i | ||||
\(551\) | −2.75607 | + | 3.06092i | −0.117412 | + | 0.130400i | ||||
\(552\) | 7.82832 | + | 13.5590i | 0.333195 | + | 0.577111i | ||||
\(553\) | −3.85017 | + | 6.66869i | −0.163726 | + | 0.283582i | ||||
\(554\) | −8.46042 | − | 26.0385i | −0.359449 | − | 1.10627i | ||||
\(555\) | −0.986757 | − | 0.439333i | −0.0418855 | − | 0.0186486i | ||||
\(556\) | −37.9507 | − | 27.5728i | −1.60947 | − | 1.16935i | ||||
\(557\) | 3.07109 | 0.130126 | 0.0650631 | − | 0.997881i | \(-0.479275\pi\) | ||||
0.0650631 | + | 0.997881i | \(0.479275\pi\) | |||||||
\(558\) | 8.44060 | − | 8.74823i | 0.357319 | − | 0.370342i | ||||
\(559\) | −15.2233 | −0.643877 | ||||||||
\(560\) | 0.476413 | + | 0.346134i | 0.0201321 | + | 0.0146268i | ||||
\(561\) | −0.474665 | − | 0.211335i | −0.0200404 | − | 0.00892256i | ||||
\(562\) | 0.950818 | + | 2.92632i | 0.0401078 | + | 0.123439i | ||||
\(563\) | −7.64253 | + | 13.2372i | −0.322094 | + | 0.557884i | −0.980920 | − | 0.194412i | \(-0.937720\pi\) |
0.658826 | + | 0.752296i | \(0.271053\pi\) | |||||||
\(564\) | −4.58563 | − | 7.94255i | −0.193090 | − | 0.334442i | ||||
\(565\) | −1.56593 | + | 1.73914i | −0.0658791 | + | 0.0731662i | ||||
\(566\) | 21.5681 | − | 66.3798i | 0.906575 | − | 2.79015i | ||||
\(567\) | 0.385694 | + | 0.428357i | 0.0161976 | + | 0.0179893i | ||||
\(568\) | −0.856725 | + | 0.381438i | −0.0359474 | + | 0.0160048i | ||||
\(569\) | −19.1548 | − | 4.07148i | −0.803010 | − | 0.170685i | −0.211916 | − | 0.977288i | \(-0.567970\pi\) |
−0.591094 | + | 0.806603i | \(0.701304\pi\) | |||||||
\(570\) | −0.0775517 | + | 0.737855i | −0.00324828 | + | 0.0309053i | ||||
\(571\) | −1.74331 | − | 16.5865i | −0.0729553 | − | 0.694123i | −0.968477 | − | 0.249104i | \(-0.919864\pi\) |
0.895521 | − | 0.445018i | \(-0.146803\pi\) | |||||||
\(572\) | −50.2121 | + | 10.6729i | −2.09947 | + | 0.446257i | ||||
\(573\) | −10.3422 | + | 7.51407i | −0.432053 | + | 0.313905i | ||||
\(574\) | −5.65297 | + | 4.10713i | −0.235951 | + | 0.171428i | ||||
\(575\) | −43.0222 | + | 9.14465i | −1.79415 | + | 0.381358i | ||||
\(576\) | 1.30744 | + | 12.4395i | 0.0544768 | + | 0.518312i | ||||
\(577\) | −2.28265 | + | 21.7180i | −0.0950282 | + | 0.904133i | 0.838324 | + | 0.545172i | \(0.183536\pi\) |
−0.933353 | + | 0.358961i | \(0.883131\pi\) | |||||||
\(578\) | −36.2747 | − | 7.71043i | −1.50883 | − | 0.320711i | ||||
\(579\) | 15.1496 | − | 6.74502i | 0.629594 | − | 0.280313i | ||||
\(580\) | −6.64179 | − | 7.37646i | −0.275785 | − | 0.306291i | ||||
\(581\) | 1.20953 | − | 3.72256i | 0.0501799 | − | 0.154438i | ||||
\(582\) | −16.3997 | + | 18.2137i | −0.679789 | + | 0.754983i | ||||
\(583\) | 11.1592 | + | 19.3283i | 0.462167 | + | 0.800497i | ||||
\(584\) | −10.6027 | + | 18.3645i | −0.438745 | + | 0.759928i | ||||
\(585\) | 0.721624 | + | 2.22093i | 0.0298355 | + | 0.0918242i | ||||
\(586\) | −56.3110 | − | 25.0713i | −2.32619 | − | 1.03569i | ||||
\(587\) | −19.3085 | − | 14.0284i | −0.796946 | − | 0.579015i | 0.113071 | − | 0.993587i | \(-0.463931\pi\) |
−0.910017 | + | 0.414572i | \(0.863931\pi\) | |||||||
\(588\) | 18.4493 | 0.760835 | ||||||||
\(589\) | 2.88235 | − | 1.94602i | 0.118765 | − | 0.0801844i | ||||
\(590\) | 11.2521 | 0.463242 | ||||||||
\(591\) | −2.55546 | − | 1.85665i | −0.105118 | − | 0.0763725i | ||||
\(592\) | −3.40621 | − | 1.51654i | −0.139994 | − | 0.0623296i | ||||
\(593\) | −2.46180 | − | 7.57665i | −0.101094 | − | 0.311136i | 0.887700 | − | 0.460423i | \(-0.152302\pi\) |
−0.988794 | + | 0.149287i | \(0.952302\pi\) | |||||||
\(594\) | −4.71826 | + | 8.17227i | −0.193593 | + | 0.335312i | ||||
\(595\) | −0.0188488 | − | 0.0326471i | −0.000772725 | − | 0.00133840i | ||||
\(596\) | 18.5339 | − | 20.5840i | 0.759179 | − | 0.843154i | ||||
\(597\) | 2.71212 | − | 8.34706i | 0.111000 | − | 0.341622i | ||||
\(598\) | 58.6354 | + | 65.1212i | 2.39778 | + | 2.66301i | ||||
\(599\) | 24.0844 | − | 10.7230i | 0.984060 | − | 0.438132i | 0.149328 | − | 0.988788i | \(-0.452289\pi\) |
0.834732 | + | 0.550656i | \(0.185622\pi\) | |||||||
\(600\) | 7.70472 | + | 1.63769i | 0.314544 | + | 0.0668583i | ||||
\(601\) | 3.73546 | − | 35.5405i | 0.152372 | − | 1.44973i | −0.604730 | − | 0.796431i | \(-0.706719\pi\) |
0.757102 | − | 0.653296i | \(-0.226614\pi\) | |||||||
\(602\) | −0.466534 | − | 4.43877i | −0.0190145 | − | 0.180911i | ||||
\(603\) | 3.87840 | − | 0.824380i | 0.157941 | − | 0.0335713i | ||||
\(604\) | 13.9821 | − | 10.1586i | 0.568922 | − | 0.413346i | ||||
\(605\) | −3.38029 | + | 2.45592i | −0.137428 | + | 0.0998474i | ||||
\(606\) | 3.03754 | − | 0.645650i | 0.123392 | − | 0.0262277i | ||||
\(607\) | −1.22455 | − | 11.6508i | −0.0497029 | − | 0.472892i | −0.990857 | − | 0.134915i | \(-0.956924\pi\) |
0.941154 | − | 0.337977i | \(-0.109743\pi\) | |||||||
\(608\) | −0.486361 | + | 4.62742i | −0.0197245 | + | 0.187667i | ||||
\(609\) | −3.71788 | − | 0.790259i | −0.150656 | − | 0.0320229i | ||||
\(610\) | −13.2939 | + | 5.91881i | −0.538253 | + | 0.239645i | ||||
\(611\) | −9.52034 | − | 10.5734i | −0.385152 | − | 0.427754i | ||||
\(612\) | 0.102789 | − | 0.316352i | 0.00415501 | − | 0.0127878i | ||||
\(613\) | 5.32853 | − | 5.91793i | 0.215217 | − | 0.239023i | −0.625863 | − | 0.779933i | \(-0.715253\pi\) |
0.841081 | + | 0.540910i | \(0.181920\pi\) | |||||||
\(614\) | 9.51083 | + | 16.4732i | 0.383826 | + | 0.664806i | ||||
\(615\) | −1.51027 | + | 2.61586i | −0.0608998 | + | 0.105482i | ||||
\(616\) | −1.28910 | − | 3.96745i | −0.0519395 | − | 0.159853i | ||||
\(617\) | 11.6393 | + | 5.18214i | 0.468579 | + | 0.208625i | 0.627423 | − | 0.778679i | \(-0.284110\pi\) |
−0.158843 | + | 0.987304i | \(0.550777\pi\) | |||||||
\(618\) | 7.42525 | + | 5.39476i | 0.298687 | + | 0.217009i | ||||
\(619\) | 20.9025 | 0.840142 | 0.420071 | − | 0.907491i | \(-0.362005\pi\) | ||||
0.420071 | + | 0.907491i | \(0.362005\pi\) | |||||||
\(620\) | 3.93792 | + | 7.39826i | 0.158151 | + | 0.297121i | ||||
\(621\) | 9.35012 | 0.375207 | ||||||||
\(622\) | 46.9365 | + | 34.1014i | 1.88198 | + | 1.36734i | ||||
\(623\) | −8.85580 | − | 3.94286i | −0.354800 | − | 0.157967i | ||||
\(624\) | 2.49099 | + | 7.66648i | 0.0997195 | + | 0.306905i | ||||
\(625\) | −10.3241 | + | 17.8819i | −0.412964 | + | 0.715275i | ||||
\(626\) | 0.687466 | + | 1.19073i | 0.0274767 | + | 0.0475910i | ||||
\(627\) | −1.80644 | + | 2.00626i | −0.0721423 | + | 0.0801221i | ||||
\(628\) | −6.60898 | + | 20.3404i | −0.263727 | + | 0.811669i | ||||
\(629\) | 0.159713 | + | 0.177379i | 0.00636817 | + | 0.00707257i | ||||
\(630\) | −0.625458 | + | 0.278472i | −0.0249189 | + | 0.0110946i | ||||
\(631\) | 33.5699 | + | 7.13550i | 1.33640 | + | 0.284060i | 0.820036 | − | 0.572312i | \(-0.193953\pi\) |
0.516360 | + | 0.856372i | \(0.327287\pi\) | |||||||
\(632\) | 2.33827 | − | 22.2471i | 0.0930112 | − | 0.884942i | ||||
\(633\) | 1.29086 | + | 12.2817i | 0.0513070 | + | 0.488153i | ||||
\(634\) | 37.4945 | − | 7.96970i | 1.48910 | − | 0.316517i | ||||
\(635\) | −6.16483 | + | 4.47901i | −0.244644 | + | 0.177744i | ||||
\(636\) | −11.5592 | + | 8.39827i | −0.458353 | + | 0.333013i | ||||
\(637\) | 27.9960 | − | 5.95073i | 1.10924 | − | 0.235777i | ||||
\(638\) | −6.50437 | − | 61.8849i | −0.257510 | − | 2.45005i | ||||
\(639\) | −0.0585416 | + | 0.556986i | −0.00231587 | + | 0.0220340i | ||||
\(640\) | −6.60429 | − | 1.40378i | −0.261057 | − | 0.0554894i | ||||
\(641\) | 28.2447 | − | 12.5754i | 1.11560 | − | 0.496697i | 0.235685 | − | 0.971830i | \(-0.424267\pi\) |
0.879914 | + | 0.475133i | \(0.157600\pi\) | |||||||
\(642\) | −28.3140 | − | 31.4459i | −1.11746 | − | 1.24107i | ||||
\(643\) | −8.87980 | + | 27.3292i | −0.350185 | + | 1.07776i | 0.608564 | + | 0.793505i | \(0.291746\pi\) |
−0.958749 | + | 0.284254i | \(0.908254\pi\) | |||||||
\(644\) | −9.97837 | + | 11.0821i | −0.393203 | + | 0.436696i | ||||
\(645\) | −0.964679 | − | 1.67087i | −0.0379842 | − | 0.0657905i | ||||
\(646\) | 0.0819739 | − | 0.141983i | 0.00322522 | − | 0.00558624i | ||||
\(647\) | −8.68013 | − | 26.7147i | −0.341251 | − | 1.05026i | −0.963560 | − | 0.267492i | \(-0.913805\pi\) |
0.622309 | − | 0.782772i | \(-0.286195\pi\) | |||||||
\(648\) | −1.52972 | − | 0.681074i | −0.0600930 | − | 0.0267551i | ||||
\(649\) | 33.1243 | + | 24.0662i | 1.30024 | + | 0.944683i | ||||
\(650\) | 44.0862 | 1.72920 | ||||||||
\(651\) | 2.88514 | + | 1.40560i | 0.113077 | + | 0.0550897i | ||||
\(652\) | 29.4690 | 1.15409 | ||||||||
\(653\) | 32.1184 | + | 23.3354i | 1.25689 | + | 0.913185i | 0.998601 | − | 0.0528825i | \(-0.0168409\pi\) |
0.258290 | + | 0.966067i | \(0.416841\pi\) | |||||||
\(654\) | 26.4223 | + | 11.7640i | 1.03319 | + | 0.460007i | ||||
\(655\) | −0.527927 | − | 1.62479i | −0.0206278 | − | 0.0634859i | ||||
\(656\) | −5.21333 | + | 9.02975i | −0.203546 | + | 0.352552i | ||||
\(657\) | 6.33194 | + | 10.9672i | 0.247033 | + | 0.427873i | ||||
\(658\) | 2.79121 | − | 3.09995i | 0.108813 | − | 0.120849i | ||||
\(659\) | −4.13934 | + | 12.7396i | −0.161246 | + | 0.496264i | −0.998740 | − | 0.0501825i | \(-0.984020\pi\) |
0.837494 | + | 0.546446i | \(0.184020\pi\) | |||||||
\(660\) | −4.35331 | − | 4.83484i | −0.169452 | − | 0.188196i | ||||
\(661\) | −4.52054 | + | 2.01267i | −0.175829 | + | 0.0782840i | −0.492763 | − | 0.870163i | \(-0.664013\pi\) |
0.316935 | + | 0.948447i | \(0.397346\pi\) | |||||||
\(662\) | 55.9689 | + | 11.8966i | 2.17529 | + | 0.462373i | ||||
\(663\) | 0.0539401 | − | 0.513206i | 0.00209486 | − | 0.0199313i | ||||
\(664\) | 1.18856 | + | 11.3084i | 0.0461249 | + | 0.438849i | ||||
\(665\) | −0.191590 | + | 0.0407238i | −0.00742955 | + | 0.00157920i | ||||
\(666\) | 3.50705 | − | 2.54802i | 0.135895 | − | 0.0987337i | ||||
\(667\) | −49.8808 | + | 36.2405i | −1.93139 | + | 1.40324i | ||||
\(668\) | −35.1484 | + | 7.47101i | −1.35993 | + | 0.289062i | ||||
\(669\) | −2.45917 | − | 23.3975i | −0.0950772 | − | 0.904599i | ||||
\(670\) | −0.492288 | + | 4.68381i | −0.0190187 | + | 0.180951i | ||||
\(671\) | −51.7942 | − | 11.0092i | −1.99949 | − | 0.425006i | ||||
\(672\) | −3.92253 | + | 1.74642i | −0.151315 | + | 0.0673697i | ||||
\(673\) | 26.3913 | + | 29.3105i | 1.01731 | + | 1.12984i | 0.991492 | + | 0.130171i | \(0.0415525\pi\) |
0.0258183 | + | 0.999667i | \(0.491781\pi\) | |||||||
\(674\) | −1.22785 | + | 3.77894i | −0.0472951 | + | 0.145559i | ||||
\(675\) | 3.14762 | − | 3.49578i | 0.121152 | − | 0.134553i | ||||
\(676\) | −7.50632 | − | 13.0013i | −0.288705 | − | 0.500051i | ||||
\(677\) | −15.2746 | + | 26.4563i | −0.587050 | + | 1.01680i | 0.407567 | + | 0.913175i | \(0.366377\pi\) |
−0.994617 | + | 0.103624i | \(0.966956\pi\) | |||||||
\(678\) | −2.90233 | − | 8.93246i | −0.111463 | − | 0.343049i | ||||
\(679\) | −5.91109 | − | 2.63179i | −0.226847 | − | 0.100999i | ||||
\(680\) | 0.0885973 | + | 0.0643697i | 0.00339755 | + | 0.00246846i | ||||
\(681\) | 3.71655 | 0.142418 | ||||||||
\(682\) | −7.28921 | + | 52.0323i | −0.279118 | + | 1.99242i | ||||
\(683\) | 4.13533 | 0.158234 | 0.0791170 | − | 0.996865i | \(-0.474790\pi\) | ||||
0.0791170 | + | 0.996865i | \(0.474790\pi\) | |||||||
\(684\) | −1.39823 | − | 1.01587i | −0.0534626 | − | 0.0388428i | ||||
\(685\) | 1.13781 | + | 0.506586i | 0.0434735 | + | 0.0193557i | ||||
\(686\) | 5.31534 | + | 16.3589i | 0.202941 | + | 0.624587i | ||||
\(687\) | −2.58438 | + | 4.47627i | −0.0986001 | + | 0.170780i | ||||
\(688\) | −3.33000 | − | 5.76773i | −0.126955 | − | 0.219893i | ||||
\(689\) | −14.8318 | + | 16.4724i | −0.565047 | + | 0.627549i | ||||
\(690\) | −3.43191 | + | 10.5623i | −0.130650 | + | 0.402101i | ||||
\(691\) | −1.85230 | − | 2.05719i | −0.0704649 | − | 0.0782592i | 0.706881 | − | 0.707332i | \(-0.250101\pi\) |
−0.777346 | + | 0.629073i | \(0.783435\pi\) | |||||||
\(692\) | 6.86791 | − | 3.05779i | 0.261079 | − | 0.116240i | ||||
\(693\) | −2.43685 | − | 0.517968i | −0.0925683 | − | 0.0196760i | ||||
\(694\) | 4.90416 | − | 46.6600i | 0.186159 | − | 1.77119i | ||||
\(695\) | −0.964081 | − | 9.17262i | −0.0365697 | − | 0.347937i | ||||
\(696\) | 10.8005 | − | 2.29572i | 0.409392 | − | 0.0870190i | ||||
\(697\) | 0.539995 | − | 0.392330i | 0.0204538 | − | 0.0148605i | ||||
\(698\) | 8.32179 | − | 6.04613i | 0.314984 | − | 0.228850i | ||||
\(699\) | −16.1660 | + | 3.43619i | −0.611455 | + | 0.129969i | ||||
\(700\) | 0.784219 | + | 7.46135i | 0.0296407 | + | 0.282012i | ||||
\(701\) | −2.10163 | + | 19.9957i | −0.0793776 | + | 0.755228i | 0.880356 | + | 0.474314i | \(0.157304\pi\) |
−0.959733 | + | 0.280913i | \(0.909363\pi\) | |||||||
\(702\) | −9.16720 | − | 1.94855i | −0.345993 | − | 0.0735432i | ||||
\(703\) | 1.13296 | − | 0.504426i | 0.0427304 | − | 0.0190248i | ||||
\(704\) | −36.1736 | − | 40.1748i | −1.36334 | − | 1.51415i | ||||
\(705\) | 0.557222 | − | 1.71495i | 0.0209862 | − | 0.0645888i | ||||
\(706\) | 14.5452 | − | 16.1541i | 0.547416 | − | 0.607967i | ||||
\(707\) | 0.409921 | + | 0.710004i | 0.0154167 | + | 0.0267025i | ||||
\(708\) | −13.1059 | + | 22.7001i | −0.492550 | + | 0.853122i | ||||
\(709\) | −15.0966 | − | 46.4626i | −0.566965 | − | 1.74494i | −0.662040 | − | 0.749469i | \(-0.730309\pi\) |
0.0950750 | − | 0.995470i | \(-0.469691\pi\) | |||||||
\(710\) | −0.607710 | − | 0.270570i | −0.0228069 | − | 0.0101543i | ||||
\(711\) | −10.8078 | − | 7.85229i | −0.405323 | − | 0.294484i | ||||
\(712\) | 28.1609 | 1.05538 | ||||||||
\(713\) | 48.2599 | − | 19.5231i | 1.80735 | − | 0.731145i | ||||
\(714\) | 0.151292 | 0.00566198 | ||||||||
\(715\) | −8.16542 | − | 5.93252i | −0.305369 | − | 0.221864i | ||||
\(716\) | −18.2149 | − | 8.10980i | −0.680723 | − | 0.303077i | ||||
\(717\) | −4.20214 | − | 12.9328i | −0.156932 | − | 0.482986i | ||||
\(718\) | −26.1856 | + | 45.3547i | −0.977236 | + | 1.69262i | ||||
\(719\) | 4.66448 | + | 8.07911i | 0.173956 | + | 0.301300i | 0.939799 | − | 0.341727i | \(-0.111012\pi\) |
−0.765844 | + | 0.643027i | \(0.777678\pi\) | |||||||
\(720\) | −0.683604 | + | 0.759220i | −0.0254764 | + | 0.0282944i | ||||
\(721\) | −0.748770 | + | 2.30448i | −0.0278856 | + | 0.0858232i | ||||
\(722\) | 27.1878 | + | 30.1951i | 1.01182 | + | 1.12374i | ||||
\(723\) | −6.42856 | + | 2.86218i | −0.239081 | + | 0.106446i | ||||
\(724\) | −55.0622 | − | 11.7038i | −2.04637 | − | 0.434970i | ||||
\(725\) | −3.24238 | + | 30.8492i | −0.120419 | + | 1.14571i | ||||
\(726\) | −1.75281 | − | 16.6768i | −0.0650528 | − | 0.618936i | ||||
\(727\) | 6.67182 | − | 1.41814i | 0.247444 | − | 0.0525959i | −0.0825197 | − | 0.996589i | \(-0.526297\pi\) |
0.329964 | + | 0.943994i | \(0.392963\pi\) | |||||||
\(728\) | 3.35184 | − | 2.43525i | 0.124227 | − | 0.0902565i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −14.7132 | + | 3.12739i | −0.544560 | + | 0.115750i | ||||
\(731\) | 0.0445652 | + | 0.424010i | 0.00164830 | + | 0.0156826i | ||||
\(732\) | 3.54339 | − | 33.7131i | 0.130967 | − | 1.24607i | ||||
\(733\) | 7.46354 | + | 1.58642i | 0.275672 | + | 0.0585959i | 0.343673 | − | 0.939089i | \(-0.388329\pi\) |
−0.0680011 | + | 0.997685i | \(0.521662\pi\) | |||||||
\(734\) | −32.9259 | + | 14.6596i | −1.21532 | + | 0.541095i | ||||
\(735\) | 2.42721 | + | 2.69568i | 0.0895288 | + | 0.0994318i | ||||
\(736\) | −21.5230 | + | 66.2410i | −0.793349 | + | 2.44168i | ||||
\(737\) | −11.4670 | + | 12.7354i | −0.422394 | + | 0.469116i | ||||
\(738\) | −6.06118 | − | 10.4983i | −0.223115 | − | 0.386447i | ||||
\(739\) | 0.537519 | − | 0.931010i | 0.0197730 | − | 0.0342478i | −0.855970 | − | 0.517026i | \(-0.827039\pi\) |
0.875743 | + | 0.482778i | \(0.160372\pi\) | |||||||
\(740\) | 0.923554 | + | 2.84241i | 0.0339505 | + | 0.104489i | ||||
\(741\) | −2.44942 | − | 1.09055i | −0.0899816 | − | 0.0400624i | ||||
\(742\) | −5.25752 | − | 3.81981i | −0.193010 | − | 0.140230i | ||||
\(743\) | 1.15865 | 0.0425069 | 0.0212535 | − | 0.999774i | \(-0.493234\pi\) | ||||
0.0212535 | + | 0.999774i | \(0.493234\pi\) | |||||||
\(744\) | −9.31760 | − | 0.321256i | −0.341600 | − | 0.0117778i | ||||
\(745\) | 5.44594 | 0.199524 | ||||||||
\(746\) | −59.0255 | − | 42.8845i | −2.16108 | − | 1.57011i | ||||
\(747\) | 6.20346 | + | 2.76196i | 0.226973 | + | 0.101055i | ||||
\(748\) | 0.444262 | + | 1.36730i | 0.0162438 | + | 0.0499934i | ||||
\(749\) | 5.58564 | − | 9.67461i | 0.204095 | − | 0.353502i | ||||
\(750\) | 5.76313 | + | 9.98204i | 0.210440 | + | 0.364493i | ||||
\(751\) | 34.3279 | − | 38.1250i | 1.25264 | − | 1.39120i | 0.364778 | − | 0.931095i | \(-0.381145\pi\) |
0.887864 | − | 0.460105i | \(-0.152188\pi\) | |||||||
\(752\) | 1.92349 | − | 5.91989i | 0.0701424 | − | 0.215876i | ||||
\(753\) | −0.566375 | − | 0.629023i | −0.0206398 | − | 0.0229229i | ||||
\(754\) | 56.4574 | − | 25.1364i | 2.05606 | − | 0.915415i | ||||
\(755\) | 3.32380 | + | 0.706495i | 0.120965 | + | 0.0257120i | ||||
\(756\) | 0.166712 | − | 1.58616i | 0.00606325 | − | 0.0576880i | ||||
\(757\) | −0.168110 | − | 1.59946i | −0.00611005 | − | 0.0581332i | 0.991042 | − | 0.133550i | \(-0.0426378\pi\) |
−0.997152 | + | 0.0754172i | \(0.975971\pi\) | |||||||
\(758\) | 60.4176 | − | 12.8422i | 2.19447 | − | 0.466449i | ||||
\(759\) | −32.6939 | + | 23.7535i | −1.18671 | + | 0.862198i | ||||
\(760\) | 0.460337 | − | 0.334454i | 0.0166982 | − | 0.0121319i | ||||
\(761\) | 52.8433 | − | 11.2322i | 1.91557 | − | 0.407167i | 0.915581 | − | 0.402134i | \(-0.131731\pi\) |
0.999987 | − | 0.00503275i | \(-0.00160198\pi\) | |||||||
\(762\) | −3.19670 | − | 30.4146i | −0.115804 | − | 1.10180i | ||||
\(763\) | −0.798154 | + | 7.59393i | −0.0288951 | + | 0.274919i | ||||
\(764\) | 34.5988 | + | 7.35420i | 1.25174 | + | 0.266066i | ||||
\(765\) | 0.0597464 | − | 0.0266008i | 0.00216013 | − | 0.000961754i | ||||
\(766\) | 28.4303 | + | 31.5751i | 1.02723 | + | 1.14085i | ||||
\(767\) | −12.5659 | + | 38.6737i | −0.453727 | + | 1.39643i | ||||
\(768\) | 1.39260 | − | 1.54664i | 0.0502511 | − | 0.0558095i | ||||
\(769\) | 16.6782 | + | 28.8875i | 0.601431 | + | 1.04171i | 0.992605 | + | 0.121393i | \(0.0387360\pi\) |
−0.391173 | + | 0.920317i | \(0.627931\pi\) | |||||||
\(770\) | 1.47955 | − | 2.56266i | 0.0533194 | − | 0.0923519i | ||||
\(771\) | 7.58602 | + | 23.3474i | 0.273204 | + | 0.840835i | ||||
\(772\) | −41.9179 | − | 18.6631i | −1.50866 | − | 0.671698i | ||||
\(773\) | −20.0294 | − | 14.5522i | −0.720406 | − | 0.523406i | 0.166108 | − | 0.986108i | \(-0.446880\pi\) |
−0.886514 | + | 0.462702i | \(0.846880\pi\) | |||||||
\(774\) | 7.74312 | 0.278321 | ||||||||
\(775\) | 8.94697 | − | 24.6154i | 0.321385 | − | 0.884212i | ||||
\(776\) | 18.7969 | 0.674770 | ||||||||
\(777\) | 0.925878 | + | 0.672689i | 0.0332157 | + | 0.0241326i | ||||
\(778\) | −49.8983 | − | 22.2162i | −1.78894 | − | 0.796488i | ||||
\(779\) | −1.07169 | − | 3.29833i | −0.0383974 | − | 0.118175i | ||||
\(780\) | 3.23071 | − | 5.59576i | 0.115678 | − | 0.200360i | ||||
\(781\) | −1.21030 | − | 2.09630i | −0.0433078 | − | 0.0750114i | ||||
\(782\) | 1.64215 | − | 1.82379i | 0.0587232 | − | 0.0652187i | ||||
\(783\) | 2.03770 | − | 6.27140i | 0.0728215 | − | 0.224122i | ||||
\(784\) | 8.37853 | + | 9.30530i | 0.299233 | + | 0.332332i | ||||
\(785\) | −3.84148 | + | 1.71034i | −0.137108 | + | 0.0610446i | ||||
\(786\) | 6.70655 | + | 1.42552i | 0.239215 | + | 0.0508467i | ||||
\(787\) | 3.35812 | − | 31.9504i | 0.119704 | − | 1.13891i | −0.755498 | − | 0.655151i | \(-0.772605\pi\) |
0.875202 | − | 0.483757i | \(-0.160728\pi\) | |||||||
\(788\) | 0.913580 | + | 8.69213i | 0.0325449 | + | 0.309644i | ||||
\(789\) | −6.31506 | + | 1.34231i | −0.224822 | + | 0.0477874i | ||||
\(790\) | 12.8372 | − | 9.32680i | 0.456729 | − | 0.331833i | ||||
\(791\) | 2.00602 | − | 1.45746i | 0.0713257 | − | 0.0518212i | ||||
\(792\) | 7.07910 | − | 1.50471i | 0.251545 | − | 0.0534675i | ||||
\(793\) | −5.49707 | − | 52.3012i | −0.195207 | − | 1.85727i | ||||
\(794\) | −4.94936 | + | 47.0900i | −0.175646 | + | 1.67116i | ||||
\(795\) | −2.74784 | − | 0.584072i | −0.0974559 | − | 0.0207149i | ||||
\(796\) | −22.1849 | + | 9.87735i | −0.786322 | + | 0.350093i | ||||
\(797\) | −4.17297 | − | 4.63455i | −0.147814 | − | 0.164164i | 0.664691 | − | 0.747119i | \(-0.268563\pi\) |
−0.812505 | + | 0.582954i | \(0.801897\pi\) | |||||||
\(798\) | 0.242915 | − | 0.747616i | 0.00859911 | − | 0.0264653i | ||||
\(799\) | −0.266628 | + | 0.296120i | −0.00943261 | + | 0.0104760i | ||||
\(800\) | 17.5204 | + | 30.3463i | 0.619441 | + | 1.07290i | ||||
\(801\) | 8.40883 | − | 14.5645i | 0.297111 | − | 0.514612i | ||||
\(802\) | −12.9542 | − | 39.8691i | −0.457430 | − | 1.40783i | ||||
\(803\) | −50.0022 | − | 22.2624i | −1.76454 | − | 0.785624i | ||||
\(804\) | −8.87576 | − | 6.44862i | −0.313024 | − | 0.227425i | ||||
\(805\) | −2.93201 | −0.103340 | ||||||||
\(806\) | −51.3843 | + | 9.08385i | −1.80994 | + | 0.319965i | ||||
\(807\) | 16.8062 | 0.591605 | ||||||||
\(808\) | −1.92680 | − | 1.39990i | −0.0677847 | − | 0.0492485i | ||||
\(809\) | 27.5543 | + | 12.2680i | 0.968758 | + | 0.431319i | 0.829235 | − | 0.558900i | \(-0.188776\pi\) |
0.139523 | + | 0.990219i | \(0.455443\pi\) | |||||||
\(810\) | −0.367044 | − | 1.12965i | −0.0128966 | − | 0.0396917i | ||||
\(811\) | −10.3277 | + | 17.8880i | −0.362653 | + | 0.628134i | −0.988397 | − | 0.151895i | \(-0.951462\pi\) |
0.625744 | + | 0.780029i | \(0.284796\pi\) | |||||||
\(812\) | 5.25848 | + | 9.10795i | 0.184536 | + | 0.319627i | ||||
\(813\) | 12.3209 | − | 13.6837i | 0.432112 | − | 0.479909i | ||||
\(814\) | −5.78973 | + | 17.8190i | −0.202930 | + | 0.624554i | ||||
\(815\) | 3.87697 | + | 4.30581i | 0.135804 | + | 0.150826i | ||||
\(816\) | 0.206240 | − | 0.0918240i | 0.00721985 | − | 0.00321448i | ||||
\(817\) | 2.16681 | + | 0.460570i | 0.0758072 | + | 0.0161133i | ||||
\(818\) | 1.24760 | − | 11.8701i | 0.0436213 | − | 0.415029i | ||||
\(819\) | −0.258630 | − | 2.46070i | −0.00903726 | − | 0.0859838i | ||||
\(820\) | 8.17500 | − | 1.73765i | 0.285483 | − | 0.0606814i | ||||
\(821\) | −26.1754 | + | 19.0175i | −0.913527 | + | 0.663716i | −0.941904 | − | 0.335881i | \(-0.890966\pi\) |
0.0283775 | + | 0.999597i | \(0.490966\pi\) | |||||||
\(822\) | −4.04391 | + | 2.93807i | −0.141048 | + | 0.102477i | ||||
\(823\) | −15.7061 | + | 3.33844i | −0.547481 | + | 0.116371i | −0.473344 | − | 0.880878i | \(-0.656953\pi\) |
−0.0741363 | + | 0.997248i | \(0.523620\pi\) | |||||||
\(824\) | −0.735783 | − | 7.00051i | −0.0256322 | − | 0.243874i | ||||
\(825\) | −2.12519 | + | 20.2198i | −0.0739896 | + | 0.703964i | ||||
\(826\) | −11.6615 | − | 2.47872i | −0.405755 | − | 0.0862458i | ||||
\(827\) | 14.0249 | − | 6.24430i | 0.487694 | − | 0.217136i | −0.148132 | − | 0.988968i | \(-0.547326\pi\) |
0.635826 | + | 0.771832i | \(0.280659\pi\) | |||||||
\(828\) | −17.3112 | − | 19.2261i | −0.601607 | − | 0.668152i | ||||
\(829\) | 4.61694 | − | 14.2095i | 0.160353 | − | 0.493516i | −0.838311 | − | 0.545192i | \(-0.816457\pi\) |
0.998664 | + | 0.0516768i | \(0.0164566\pi\) | |||||||
\(830\) | −5.39698 | + | 5.99395i | −0.187332 | + | 0.208053i | ||||
\(831\) | 6.26989 | + | 10.8598i | 0.217500 | + | 0.376721i | ||||
\(832\) | 26.8454 | − | 46.4977i | 0.930698 | − | 1.61202i | ||||
\(833\) | −0.247700 | − | 0.762344i | −0.00858231 | − | 0.0264136i | ||||
\(834\) | 33.8153 | + | 15.0555i | 1.17093 | + | 0.521330i | ||||
\(835\) | −5.71577 | − | 4.15275i | −0.197802 | − | 0.143712i | ||||
\(836\) | 7.46986 | 0.258351 | ||||||||
\(837\) | −2.94838 | + | 4.72304i | −0.101911 | + | 0.163252i | ||||
\(838\) | −54.7248 | −1.89044 | ||||||||
\(839\) | −2.94971 | − | 2.14309i | −0.101835 | − | 0.0739878i | 0.535702 | − | 0.844407i | \(-0.320047\pi\) |
−0.637538 | + | 0.770419i | \(0.720047\pi\) | |||||||
\(840\) | 0.479689 | + | 0.213571i | 0.0165508 | + | 0.00736891i | ||||
\(841\) | 4.47541 | + | 13.7739i | 0.154324 | + | 0.474962i | ||||
\(842\) | −31.6192 | + | 54.7660i | −1.08967 | + | 1.88736i | ||||
\(843\) | −0.704636 | − | 1.22047i | −0.0242690 | − | 0.0420351i | ||||
\(844\) | 22.8641 | − | 25.3932i | 0.787015 | − | 0.874069i | ||||
\(845\) | 0.912129 | − | 2.80724i | 0.0313782 | − | 0.0965721i | ||||
\(846\) | 4.84239 | + | 5.37802i | 0.166485 | + | 0.184900i | ||||
\(847\) | 4.04429 | − | 1.80063i | 0.138963 | − | 0.0618705i | ||||
\(848\) | −9.48535 | − | 2.01617i | −0.325728 | − | 0.0692357i | ||||
\(849\) | −3.34152 | + | 31.7924i | −0.114681 | + | 1.09111i | ||||
\(850\) | −0.129060 | − | 1.22792i | −0.00442671 | − | 0.0421173i | ||||
\(851\) | 18.1587 | − | 3.85976i | 0.622473 | − | 0.132311i | ||||
\(852\) | 1.25368 | − | 0.910853i | 0.0429504 | − | 0.0312053i | ||||
\(853\) | 26.1967 | − | 19.0330i | 0.896959 | − | 0.651679i | −0.0407242 | − | 0.999170i | \(-0.512967\pi\) |
0.937683 | + | 0.347492i | \(0.112967\pi\) | |||||||
\(854\) | 15.0814 | − | 3.20565i | 0.516074 | − | 0.109695i | ||||
\(855\) | −0.0355199 | − | 0.337949i | −0.00121475 | − | 0.0115576i | ||||
\(856\) | −3.39224 | + | 32.2750i | −0.115944 | + | 1.10314i | ||||
\(857\) | −2.49030 | − | 0.529329i | −0.0850669 | − | 0.0180815i | 0.165182 | − | 0.986263i | \(-0.447179\pi\) |
−0.250249 | + | 0.968182i | \(0.580512\pi\) | |||||||
\(858\) | 37.0045 | − | 16.4755i | 1.26331 | − | 0.562463i | ||||
\(859\) | −12.2808 | − | 13.6392i | −0.419015 | − | 0.465363i | 0.496271 | − | 0.868167i | \(-0.334702\pi\) |
−0.915286 | + | 0.402804i | \(0.868035\pi\) | |||||||
\(860\) | −1.64966 | + | 5.07714i | −0.0562530 | + | 0.173129i | ||||
\(861\) | 2.14146 | − | 2.37833i | 0.0729808 | − | 0.0810534i | ||||
\(862\) | −30.2100 | − | 52.3253i | −1.02896 | − | 1.78221i | ||||
\(863\) | 4.06442 | − | 7.03977i | 0.138354 | − | 0.239637i | −0.788520 | − | 0.615010i | \(-0.789152\pi\) |
0.926874 | + | 0.375373i | \(0.122485\pi\) | |||||||
\(864\) | −2.30190 | − | 7.08451i | −0.0783122 | − | 0.241020i | ||||
\(865\) | 1.35033 | + | 0.601208i | 0.0459127 | + | 0.0204417i | ||||
\(866\) | −5.57340 | − | 4.04931i | −0.189392 | − | 0.137601i | ||||
\(867\) | 16.9855 | 0.576859 | ||||||||
\(868\) | −2.45143 | − | 8.53492i | −0.0832069 | − | 0.289694i | ||||
\(869\) | 57.7391 | 1.95867 | ||||||||
\(870\) | 6.33654 | + | 4.60377i | 0.214829 | + | 0.156082i | ||||
\(871\) | −15.5486 | − | 6.92267i | −0.526844 | − | 0.234566i | ||||
\(872\) | −6.85463 | − | 21.0964i | −0.232127 | − | 0.714413i | ||||
\(873\) | 5.61274 | − | 9.72155i | 0.189963 | − | 0.329025i | ||||
\(874\) | −6.37569 | − | 11.0430i | −0.215661 | − | 0.373536i | ||||
\(875\) | −2.03616 | + | 2.26138i | −0.0688348 | + | 0.0764487i | ||||
\(876\) | 10.8280 | − | 33.3252i | 0.365845 | − | 1.12595i | ||||
\(877\) | −8.71039 | − | 9.67386i | −0.294129 | − | 0.326663i | 0.577909 | − | 0.816101i | \(-0.303869\pi\) |
−0.872038 | + | 0.489438i | \(0.837202\pi\) | |||||||
\(878\) | −39.4848 | + | 17.5798i | −1.33255 | + | 0.593288i | ||||
\(879\) | 27.6152 | + | 5.86979i | 0.931437 | + | 0.197983i | ||||
\(880\) | 0.461552 | − | 4.39138i | 0.0155589 | − | 0.148033i | ||||
\(881\) | 4.72550 | + | 44.9601i | 0.159206 | + | 1.51474i | 0.724166 | + | 0.689626i | \(0.242225\pi\) |
−0.564960 | + | 0.825118i | \(0.691108\pi\) | |||||||
\(882\) | −14.2398 | + | 3.02676i | −0.479479 | + | 0.101916i | ||||
\(883\) | 22.2216 | − | 16.1449i | 0.747815 | − | 0.543320i | −0.147334 | − | 0.989087i | \(-0.547069\pi\) |
0.895149 | + | 0.445767i | \(0.147069\pi\) | |||||||
\(884\) | −1.15514 | + | 0.839259i | −0.0388516 | + | 0.0282273i | ||||
\(885\) | −5.04102 | + | 1.07150i | −0.169452 | + | 0.0360181i | ||||
\(886\) | 3.45986 | + | 32.9184i | 0.116236 | + | 1.10592i | ||||
\(887\) | 4.14774 | − | 39.4631i | 0.139268 | − | 1.32504i | −0.672080 | − | 0.740478i | \(-0.734599\pi\) |
0.811348 | − | 0.584564i | \(-0.198734\pi\) | |||||||
\(888\) | −3.25199 | − | 0.691232i | −0.109130 | − | 0.0231962i | ||||
\(889\) | 7.37581 | − | 3.28392i | 0.247377 | − | 0.110139i | ||||
\(890\) | 13.3663 | + | 14.8448i | 0.448041 | + | 0.497600i | ||||
\(891\) | 1.33559 | − | 4.11054i | 0.0447441 | − | 0.137708i | ||||
\(892\) | −43.5577 | + | 48.3758i | −1.45842 | + | 1.61974i | ||||
\(893\) | 1.03519 | + | 1.79300i | 0.0346413 | + | 0.0600005i | ||||
\(894\) | −10.9281 | + | 18.9281i | −0.365492 | + | 0.633051i | ||||
\(895\) | −1.21142 | − | 3.72838i | −0.0404934 | − | 0.124626i | ||||
\(896\) | 6.53533 | + | 2.90972i | 0.218330 | + | 0.0972068i | ||||
\(897\) | −32.4704 | − | 23.5911i | −1.08415 | − | 0.787684i | ||||
\(898\) | 30.7597 | 1.02646 | ||||||||
\(899\) | −2.57727 | − | 36.6241i | −0.0859567 | − | 1.22148i | ||||
\(900\) | −13.0158 | −0.433860 | ||||||||
\(901\) | 0.502220 | + | 0.364884i | 0.0167314 | + | 0.0121561i | ||||
\(902\) | 47.8641 | + | 21.3105i | 1.59370 | + | 0.709561i | ||||
\(903\) | 0.631700 | + | 1.94417i | 0.0210217 | + | 0.0646980i | ||||
\(904\) | −3.60161 | + | 6.23816i | −0.119788 | + | 0.207478i | ||||
\(905\) | −5.53396 | − | 9.58510i | −0.183955 | − | 0.318619i | ||||
\(906\) | −9.12524 | + | 10.1346i | −0.303166 | + | 0.336700i | ||||
\(907\) | −10.2569 | + | 31.5674i | −0.340574 | + | 1.04818i | 0.623337 | + | 0.781953i | \(0.285777\pi\) |
−0.963911 | + | 0.266225i | \(0.914223\pi\) | |||||||
\(908\) | −6.88098 | − | 7.64210i | −0.228353 | − | 0.253612i | ||||
\(909\) | −1.29936 | + | 0.578511i | −0.0430970 | + | 0.0191880i | ||||
\(910\) | 2.87465 | + | 0.611026i | 0.0952937 | + | 0.0202553i | ||||
\(911\) | 2.72617 | − | 25.9378i | 0.0903222 | − | 0.859358i | −0.851750 | − | 0.523948i | \(-0.824459\pi\) |
0.942072 | − | 0.335410i | \(-0.108875\pi\) | |||||||
\(912\) | −0.122612 | − | 1.16657i | −0.00406009 | − | 0.0386292i | ||||
\(913\) | −28.7078 | + | 6.10204i | −0.950091 | + | 0.201948i | ||||
\(914\) | −17.9685 | + | 13.0549i | −0.594344 | + | 0.431816i | ||||
\(915\) | 5.39211 | − | 3.91760i | 0.178258 | − | 0.129512i | ||||
\(916\) | 13.9891 | − | 2.97348i | 0.462213 | − | 0.0982464i | ||||
\(917\) | 0.189209 | + | 1.80020i | 0.00624823 | + | 0.0594480i | ||||
\(918\) | −0.0274359 | + | 0.261035i | −0.000905520 | + | 0.00861545i | ||||
\(919\) | −36.9416 | − | 7.85219i | −1.21859 | − | 0.259020i | −0.446648 | − | 0.894710i | \(-0.647382\pi\) |
−0.771944 | + | 0.635690i | \(0.780716\pi\) | |||||||
\(920\) | 7.78117 | − | 3.46440i | 0.256538 | − | 0.114218i | ||||
\(921\) | −5.82961 | − | 6.47444i | −0.192092 | − | 0.213340i | ||||
\(922\) | −1.27882 | + | 3.93580i | −0.0421156 | + | 0.129619i | ||||
\(923\) | 1.60862 | − | 1.78655i | 0.0529483 | − | 0.0588050i | ||||
\(924\) | 3.44663 | + | 5.96973i | 0.113386 | + | 0.196390i | ||||
\(925\) | 4.66987 | − | 8.08845i | 0.153544 | − | 0.265947i | ||||
\(926\) | 16.3102 | + | 50.1977i | 0.535987 | + | 1.64960i | ||||
\(927\) | −3.84029 | − | 1.70981i | −0.126132 | − | 0.0561574i | ||||
\(928\) | 39.7393 | + | 28.8723i | 1.30451 | + | 0.947778i | ||||
\(929\) | −28.8820 | −0.947588 | −0.473794 | − | 0.880636i | \(-0.657116\pi\) | ||||
−0.473794 | + | 0.880636i | \(0.657116\pi\) | |||||||
\(930\) | −4.25317 | − | 5.06419i | −0.139467 | − | 0.166061i | ||||
\(931\) | −4.16486 | −0.136498 | ||||||||
\(932\) | 36.9961 | + | 26.8792i | 1.21185 | + | 0.880459i | ||||
\(933\) | −24.2752 | − | 10.8080i | −0.794736 | − | 0.353839i | ||||
\(934\) | 14.7517 | + | 45.4012i | 0.482692 | + | 1.48557i | ||||
\(935\) | −0.141333 | + | 0.244796i | −0.00462208 | + | 0.00800568i | ||||
\(936\) | 3.59388 | + | 6.22478i | 0.117470 | + | 0.203463i | ||||
\(937\) | 25.4923 | − | 28.3121i | 0.832797 | − | 0.924914i | −0.165321 | − | 0.986240i | \(-0.552866\pi\) |
0.998118 | + | 0.0613254i | \(0.0195327\pi\) | |||||||
\(938\) | 1.54199 | − | 4.74577i | 0.0503479 | − | 0.154955i | ||||
\(939\) | −0.421379 | − | 0.467988i | −0.0137512 | − | 0.0152722i | ||||
\(940\) | −4.55801 | + | 2.02936i | −0.148666 | + | 0.0661904i | ||||
\(941\) | 15.6300 | + | 3.32226i | 0.509524 | + | 0.108303i | 0.455498 | − | 0.890237i | \(-0.349461\pi\) |
0.0540261 | + | 0.998540i | \(0.482795\pi\) | |||||||
\(942\) | 1.76403 | − | 16.7837i | 0.0574753 | − | 0.546841i | ||||
\(943\) | −5.42649 | − | 51.6296i | −0.176711 | − | 1.68129i | ||||
\(944\) | −17.4012 | + | 3.69874i | −0.566361 | + | 0.120384i | ||||
\(945\) | 0.253692 | − | 0.184318i | 0.00825259 | − | 0.00599586i | ||||
\(946\) | −27.0749 | + | 19.6710i | −0.880279 | + | 0.639560i | ||||
\(947\) | −21.5063 | + | 4.57129i | −0.698859 | + | 0.148547i | −0.543622 | − | 0.839330i | \(-0.682948\pi\) |
−0.155237 | + | 0.987877i | \(0.549614\pi\) | |||||||
\(948\) | 3.86378 | + | 36.7614i | 0.125490 | + | 1.19395i | ||||
\(949\) | 5.68216 | − | 54.0622i | 0.184451 | − | 1.75493i | ||||
\(950\) | −6.27503 | − | 1.33380i | −0.203589 | − | 0.0432741i | ||||
\(951\) | −16.0388 | + | 7.14096i | −0.520095 | + | 0.231561i | ||||
\(952\) | −0.0776407 | − | 0.0862287i | −0.00251635 | − | 0.00279469i | ||||
\(953\) | 1.43926 | − | 4.42957i | 0.0466221 | − | 0.143488i | −0.925036 | − | 0.379880i | \(-0.875965\pi\) |
0.971658 | + | 0.236392i | \(0.0759651\pi\) | |||||||
\(954\) | 7.54401 | − | 8.37847i | 0.244246 | − | 0.271263i | ||||
\(955\) | 3.47731 | + | 6.02287i | 0.112523 | + | 0.194896i | ||||
\(956\) | −18.8130 | + | 32.5850i | −0.608455 | + | 1.05388i | ||||
\(957\) | 8.80710 | + | 27.1055i | 0.284693 | + | 0.876195i | ||||
\(958\) | −26.9273 | − | 11.9888i | −0.869980 | − | 0.387340i | ||||
\(959\) | −1.06761 | − | 0.775666i | −0.0344750 | − | 0.0250476i | ||||
\(960\) | 6.80463 | 0.219619 | ||||||||
\(961\) | −5.35611 | + | 30.5338i | −0.172778 | + | 0.984961i | ||||
\(962\) | −18.6078 | −0.599941 | ||||||||
\(963\) | 15.6794 | + | 11.3917i | 0.505260 | + | 0.367093i | ||||
\(964\) | 17.7874 | + | 7.91948i | 0.572895 | + | 0.255069i | ||||
\(965\) | −2.78784 | − | 8.58010i | −0.0897439 | − | 0.276203i | ||||
\(966\) | 5.88354 | − | 10.1906i | 0.189300 | − | 0.327877i | ||||
\(967\) | −7.75084 | − | 13.4248i | −0.249250 | − | 0.431714i | 0.714068 | − | 0.700077i | \(-0.246851\pi\) |
−0.963318 | + | 0.268363i | \(0.913517\pi\) | |||||||
\(968\) | −8.60542 | + | 9.55728i | −0.276589 | + | 0.307183i | ||||
\(969\) | −0.0232043 | + | 0.0714154i | −0.000745429 | + | 0.00229419i | ||||
\(970\) | 8.92179 | + | 9.90865i | 0.286462 | + | 0.318148i | ||||
\(971\) | 6.98710 | − | 3.11086i | 0.224227 | − | 0.0998321i | −0.291549 | − | 0.956556i | \(-0.594171\pi\) |
0.515775 | + | 0.856724i | \(0.327504\pi\) | |||||||
\(972\) | 2.70648 | + | 0.575279i | 0.0868103 | + | 0.0184521i | ||||
\(973\) | −1.02148 | + | 9.71872i | −0.0327471 | + | 0.311568i | ||||
\(974\) | −7.01084 | − | 66.7036i | −0.224642 | − | 2.13732i | ||||
\(975\) | −19.7509 | + | 4.19819i | −0.632536 | + | 0.134450i | ||||
\(976\) | 18.6132 | − | 13.5232i | 0.595793 | − | 0.432869i | ||||
\(977\) | 27.4317 | − | 19.9303i | 0.877618 | − | 0.637627i | −0.0550023 | − | 0.998486i | \(-0.517517\pi\) |
0.932620 | + | 0.360860i | \(0.117517\pi\) | |||||||
\(978\) | −22.7452 | + | 4.83464i | −0.727311 | + | 0.154595i | ||||
\(979\) | 7.59788 | + | 72.2890i | 0.242829 | + | 2.31037i | ||||
\(980\) | 1.04913 | − | 9.98182i | 0.0335133 | − | 0.318858i | ||||
\(981\) | −12.9576 | − | 2.75422i | −0.413704 | − | 0.0879356i | ||||
\(982\) | −8.28301 | + | 3.68783i | −0.264321 | + | 0.117683i | ||||
\(983\) | 1.65321 | + | 1.83608i | 0.0527293 | + | 0.0585619i | 0.768932 | − | 0.639330i | \(-0.220788\pi\) |
−0.716203 | + | 0.697892i | \(0.754122\pi\) | |||||||
\(984\) | −2.87297 | + | 8.84209i | −0.0915869 | + | 0.281876i | ||||
\(985\) | −1.14985 | + | 1.27703i | −0.0366371 | + | 0.0406896i | ||||
\(986\) | −0.865393 | − | 1.49890i | −0.0275597 | − | 0.0477348i | ||||
\(987\) | −0.955282 | + | 1.65460i | −0.0304070 | + | 0.0526664i | ||||
\(988\) | 2.29253 | + | 7.05568i | 0.0729351 | + | 0.224471i | ||||
\(989\) | 30.2931 | + | 13.4874i | 0.963264 | + | 0.428873i | ||||
\(990\) | 4.15323 | + | 3.01750i | 0.131998 | + | 0.0959024i | ||||
\(991\) | −3.74762 | −0.119047 | −0.0595235 | − | 0.998227i | \(-0.518958\pi\) | ||||
−0.0595235 | + | 0.998227i | \(0.518958\pi\) | |||||||
\(992\) | −26.6735 | − | 31.7598i | −0.846886 | − | 1.00837i | ||||
\(993\) | −26.2073 | −0.831665 | ||||||||
\(994\) | 0.570216 | + | 0.414286i | 0.0180861 | + | 0.0131404i | ||||
\(995\) | −4.36188 | − | 1.94203i | −0.138281 | − | 0.0615666i | ||||
\(996\) | −5.80612 | − | 17.8694i | −0.183974 | − | 0.566214i | ||||
\(997\) | −9.52582 | + | 16.4992i | −0.301686 | + | 0.522535i | −0.976518 | − | 0.215436i | \(-0.930883\pi\) |
0.674832 | + | 0.737971i | \(0.264216\pi\) | |||||||
\(998\) | 21.9816 | + | 38.0733i | 0.695817 | + | 1.20519i | ||||
\(999\) | −1.32854 | + | 1.47549i | −0.0420332 | + | 0.0466826i |
(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 | 93.2.m.a.19.2 | ✓ | 16 | |
3.2 | odd | 2 | 279.2.y.b.19.1 | 16 | |||
31.7 | even | 15 | 2883.2.a.m.1.2 | 8 | |||
31.18 | even | 15 | inner | 93.2.m.a.49.2 | yes | 16 | |
31.24 | odd | 30 | 2883.2.a.n.1.2 | 8 | |||
93.38 | odd | 30 | 8649.2.a.bj.1.7 | 8 | |||
93.80 | odd | 30 | 279.2.y.b.235.1 | 16 | |||
93.86 | even | 30 | 8649.2.a.bi.1.7 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
93.2.m.a.19.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
93.2.m.a.49.2 | yes | 16 | 31.18 | even | 15 | inner | |
279.2.y.b.19.1 | 16 | 3.2 | odd | 2 | |||
279.2.y.b.235.1 | 16 | 93.80 | odd | 30 | |||
2883.2.a.m.1.2 | 8 | 31.7 | even | 15 | |||
2883.2.a.n.1.2 | 8 | 31.24 | odd | 30 | |||
8649.2.a.bi.1.7 | 8 | 93.86 | even | 30 | |||
8649.2.a.bj.1.7 | 8 | 93.38 | odd | 30 |