Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 81.7 |
Dual form | 81.2.g.a.58.4 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.474186 | − | 0.636942i | −0.335300 | − | 0.450386i | 0.602213 | − | 0.798335i | \(-0.294286\pi\) |
−0.937513 | + | 0.347949i | \(0.886878\pi\) | |||||||
\(3\) | −1.48279 | + | 0.895173i | −0.856089 | + | 0.516828i | ||||
\(4\) | 0.392763 | − | 1.31192i | 0.196382 | − | 0.655960i | ||||
\(5\) | 1.83182 | − | 1.20481i | 0.819216 | − | 0.538807i | −0.0693305 | − | 0.997594i | \(-0.522086\pi\) |
0.888546 | + | 0.458787i | \(0.151716\pi\) | |||||||
\(6\) | 1.27329 | + | 0.519973i | 0.519819 | + | 0.212278i | ||||
\(7\) | 2.43989 | − | 2.58613i | 0.922190 | − | 0.977464i | −0.0776196 | − | 0.996983i | \(-0.524732\pi\) |
0.999809 | + | 0.0195189i | \(0.00621345\pi\) | |||||||
\(8\) | −2.51422 | + | 0.915103i | −0.888913 | + | 0.323538i | ||||
\(9\) | 1.39733 | − | 2.65471i | 0.465777 | − | 0.884902i | ||||
\(10\) | −1.63602 | − | 0.595462i | −0.517354 | − | 0.188302i | ||||
\(11\) | −3.88199 | + | 1.94961i | −1.17046 | + | 0.587829i | −0.924400 | − | 0.381425i | \(-0.875433\pi\) |
−0.246063 | + | 0.969254i | \(0.579137\pi\) | |||||||
\(12\) | 0.592010 | + | 2.29689i | 0.170899 | + | 0.663056i | ||||
\(13\) | 2.40153 | + | 5.56737i | 0.666065 | + | 1.54411i | 0.830074 | + | 0.557653i | \(0.188298\pi\) |
−0.164010 | + | 0.986459i | \(0.552443\pi\) | |||||||
\(14\) | −2.80417 | − | 0.327761i | −0.749447 | − | 0.0875978i | ||||
\(15\) | −1.63770 | + | 3.42627i | −0.422851 | + | 0.884660i | ||||
\(16\) | −0.513243 | − | 0.337565i | −0.128311 | − | 0.0843913i | ||||
\(17\) | 1.52297 | − | 1.27793i | 0.369375 | − | 0.309942i | −0.439139 | − | 0.898419i | \(-0.644717\pi\) |
0.808514 | + | 0.588477i | \(0.200272\pi\) | |||||||
\(18\) | −2.35349 | + | 0.368804i | −0.554723 | + | 0.0869280i | ||||
\(19\) | −2.70233 | − | 2.26753i | −0.619958 | − | 0.520206i | 0.277832 | − | 0.960630i | \(-0.410384\pi\) |
−0.897790 | + | 0.440423i | \(0.854828\pi\) | |||||||
\(20\) | −0.861141 | − | 2.87641i | −0.192557 | − | 0.643185i | ||||
\(21\) | −1.30281 | + | 6.01880i | −0.284296 | + | 1.31341i | ||||
\(22\) | 3.08257 | + | 1.54813i | 0.657206 | + | 0.330061i | ||||
\(23\) | 3.78279 | + | 4.00952i | 0.788766 | + | 0.836044i | 0.989640 | − | 0.143574i | \(-0.0458594\pi\) |
−0.200873 | + | 0.979617i | \(0.564378\pi\) | |||||||
\(24\) | 2.90889 | − | 3.60757i | 0.593775 | − | 0.736392i | ||||
\(25\) | −0.0763897 | + | 0.177091i | −0.0152779 | + | 0.0354182i | ||||
\(26\) | 2.40732 | − | 4.16961i | 0.472115 | − | 0.817727i | ||||
\(27\) | 0.304469 | + | 5.18722i | 0.0585952 | + | 0.998282i | ||||
\(28\) | −2.43450 | − | 4.21667i | −0.460077 | − | 0.796876i | ||||
\(29\) | −0.646230 | + | 0.0755335i | −0.120002 | + | 0.0140262i | −0.175882 | − | 0.984411i | \(-0.556278\pi\) |
0.0558799 | + | 0.998437i | \(0.482204\pi\) | |||||||
\(30\) | 2.95891 | − | 0.581573i | 0.540221 | − | 0.106180i | ||||
\(31\) | −2.48352 | + | 0.588605i | −0.446053 | + | 0.105717i | −0.447503 | − | 0.894282i | \(-0.647687\pi\) |
0.00144979 | + | 0.999999i | \(0.499539\pi\) | |||||||
\(32\) | 0.339506 | + | 5.82909i | 0.0600167 | + | 1.03045i | ||||
\(33\) | 4.01094 | − | 6.36591i | 0.698214 | − | 1.10816i | ||||
\(34\) | −1.53614 | − | 0.364071i | −0.263445 | − | 0.0624377i | ||||
\(35\) | 1.35365 | − | 7.67692i | 0.228808 | − | 1.29764i | ||||
\(36\) | −2.93394 | − | 2.87586i | −0.488990 | − | 0.479310i | ||||
\(37\) | 0.702191 | + | 3.98232i | 0.115440 | + | 0.654690i | 0.986532 | + | 0.163570i | \(0.0523011\pi\) |
−0.871092 | + | 0.491120i | \(0.836588\pi\) | |||||||
\(38\) | −0.162875 | + | 2.79646i | −0.0264219 | + | 0.453646i | ||||
\(39\) | −8.54472 | − | 6.10546i | −1.36825 | − | 0.977656i | ||||
\(40\) | −3.50309 | + | 4.70547i | −0.553887 | + | 0.743999i | ||||
\(41\) | 4.88829 | − | 6.56611i | 0.763423 | − | 1.02545i | −0.235145 | − | 0.971960i | \(-0.575557\pi\) |
0.998568 | − | 0.0534944i | \(-0.0170359\pi\) | |||||||
\(42\) | 4.45140 | − | 2.02422i | 0.686866 | − | 0.312344i | ||||
\(43\) | −0.135367 | + | 2.32416i | −0.0206433 | + | 0.354432i | 0.972131 | + | 0.234437i | \(0.0753247\pi\) |
−0.992775 | + | 0.119995i | \(0.961712\pi\) | |||||||
\(44\) | 1.03303 | + | 5.85859i | 0.155735 | + | 0.883216i | ||||
\(45\) | −0.638748 | − | 6.54647i | −0.0952189 | − | 0.975890i | ||||
\(46\) | 0.760089 | − | 4.31068i | 0.112069 | − | 0.635575i | ||||
\(47\) | −2.84087 | − | 0.673298i | −0.414383 | − | 0.0982107i | 0.0181355 | − | 0.999836i | \(-0.494227\pi\) |
−0.432519 | + | 0.901625i | \(0.642375\pi\) | |||||||
\(48\) | 1.06321 | + | 0.0410973i | 0.153461 | + | 0.00593188i | ||||
\(49\) | −0.328000 | − | 5.63155i | −0.0468572 | − | 0.804507i | ||||
\(50\) | 0.149020 | − | 0.0353183i | 0.0210746 | − | 0.00499477i | ||||
\(51\) | −1.11428 | + | 3.25822i | −0.156031 | + | 0.456242i | ||||
\(52\) | 8.24718 | − | 0.963958i | 1.14368 | − | 0.133677i | ||||
\(53\) | −1.34845 | − | 2.33558i | −0.185224 | − | 0.320817i | 0.758428 | − | 0.651757i | \(-0.225968\pi\) |
−0.943652 | + | 0.330940i | \(0.892634\pi\) | |||||||
\(54\) | 3.15959 | − | 2.65364i | 0.429965 | − | 0.361114i | ||||
\(55\) | −4.76221 | + | 8.24838i | −0.642136 | + | 1.11221i | ||||
\(56\) | −3.76785 | + | 8.73485i | −0.503500 | + | 1.16724i | ||||
\(57\) | 6.03682 | + | 0.943212i | 0.799597 | + | 0.124931i | ||||
\(58\) | 0.354544 | + | 0.375795i | 0.0465539 | + | 0.0493442i | ||||
\(59\) | 6.64946 | + | 3.33949i | 0.865686 | + | 0.434764i | 0.825483 | − | 0.564427i | \(-0.190903\pi\) |
0.0402037 | + | 0.999192i | \(0.487199\pi\) | |||||||
\(60\) | 3.85177 | + | 3.49424i | 0.497262 | + | 0.451105i | ||||
\(61\) | −0.754731 | − | 2.52098i | −0.0966334 | − | 0.322778i | 0.895981 | − | 0.444093i | \(-0.146474\pi\) |
−0.992614 | + | 0.121315i | \(0.961289\pi\) | |||||||
\(62\) | 1.55256 | + | 1.30275i | 0.197175 | + | 0.165450i | ||||
\(63\) | −3.45608 | − | 10.0909i | −0.435425 | − | 1.27133i | ||||
\(64\) | 2.61064 | − | 2.19058i | 0.326329 | − | 0.273823i | ||||
\(65\) | 11.1068 | + | 7.30505i | 1.37763 | + | 0.906080i | ||||
\(66\) | −5.95664 | + | 0.463888i | −0.733212 | + | 0.0571007i | ||||
\(67\) | −3.63662 | − | 0.425060i | −0.444284 | − | 0.0519294i | −0.108990 | − | 0.994043i | \(-0.534762\pi\) |
−0.335294 | + | 0.942113i | \(0.608836\pi\) | |||||||
\(68\) | −1.07837 | − | 2.49994i | −0.130772 | − | 0.303162i | ||||
\(69\) | −9.19830 | − | 2.55903i | −1.10735 | − | 0.308071i | ||||
\(70\) | −5.53164 | + | 2.77809i | −0.661157 | + | 0.332045i | ||||
\(71\) | 1.04338 | + | 0.379759i | 0.123826 | + | 0.0450691i | 0.403190 | − | 0.915116i | \(-0.367901\pi\) |
−0.279364 | + | 0.960185i | \(0.590124\pi\) | |||||||
\(72\) | −1.08388 | + | 7.95323i | −0.127736 | + | 0.937297i | ||||
\(73\) | −8.97377 | + | 3.26619i | −1.05030 | + | 0.382278i | −0.808776 | − | 0.588117i | \(-0.799870\pi\) |
−0.241525 | + | 0.970395i | \(0.577647\pi\) | |||||||
\(74\) | 2.20354 | − | 2.33562i | 0.256157 | − | 0.271510i | ||||
\(75\) | −0.0452573 | − | 0.330971i | −0.00522586 | − | 0.0382172i | ||||
\(76\) | −4.03619 | + | 2.65465i | −0.462983 | + | 0.304509i | ||||
\(77\) | −4.42967 | + | 14.7961i | −0.504808 | + | 1.68618i | ||||
\(78\) | 0.162962 | + | 8.33762i | 0.0184518 | + | 0.944050i | ||||
\(79\) | 1.65823 | + | 2.22739i | 0.186565 | + | 0.250601i | 0.885559 | − | 0.464527i | \(-0.153776\pi\) |
−0.698993 | + | 0.715128i | \(0.746368\pi\) | |||||||
\(80\) | −1.34687 | −0.150585 | ||||||||
\(81\) | −5.09493 | − | 7.41901i | −0.566103 | − | 0.824335i | ||||
\(82\) | −6.50019 | −0.717826 | ||||||||
\(83\) | −7.47468 | − | 10.0402i | −0.820453 | − | 1.10206i | −0.993123 | − | 0.117079i | \(-0.962647\pi\) |
0.172670 | − | 0.984980i | \(-0.444761\pi\) | |||||||
\(84\) | 7.38450 | + | 4.07314i | 0.805715 | + | 0.444416i | ||||
\(85\) | 1.25016 | − | 4.17582i | 0.135599 | − | 0.452932i | ||||
\(86\) | 1.54455 | − | 1.01587i | 0.166553 | − | 0.109544i | ||||
\(87\) | 0.890608 | − | 0.690488i | 0.0954832 | − | 0.0740281i | ||||
\(88\) | 7.97610 | − | 8.45417i | 0.850255 | − | 0.901217i | ||||
\(89\) | −3.58032 | + | 1.30313i | −0.379514 | + | 0.138132i | −0.524731 | − | 0.851268i | \(-0.675834\pi\) |
0.145217 | + | 0.989400i | \(0.453612\pi\) | |||||||
\(90\) | −3.86684 | + | 3.51109i | −0.407600 | + | 0.370101i | ||||
\(91\) | 20.2574 | + | 7.37309i | 2.12355 | + | 0.772909i | ||||
\(92\) | 6.74592 | − | 3.38793i | 0.703311 | − | 0.353216i | ||||
\(93\) | 3.15564 | − | 3.09596i | 0.327224 | − | 0.321036i | ||||
\(94\) | 0.918248 | + | 2.12874i | 0.0947101 | + | 0.219563i | ||||
\(95\) | −7.68213 | − | 0.897912i | −0.788170 | − | 0.0921239i | ||||
\(96\) | −5.72145 | − | 8.33939i | −0.583943 | − | 0.851136i | ||||
\(97\) | −8.79222 | − | 5.78273i | −0.892715 | − | 0.587148i | 0.0181581 | − | 0.999835i | \(-0.494220\pi\) |
−0.910873 | + | 0.412687i | \(0.864590\pi\) | |||||||
\(98\) | −3.43144 | + | 2.87932i | −0.346628 | + | 0.290855i | ||||
\(99\) | −0.248792 | + | 13.0298i | −0.0250046 | + | 1.30954i | ||||
\(100\) | 0.202326 | + | 0.169772i | 0.0202326 | + | 0.0169772i | ||||
\(101\) | −2.65330 | − | 8.86263i | −0.264013 | − | 0.881865i | −0.982490 | − | 0.186314i | \(-0.940346\pi\) |
0.718477 | − | 0.695551i | \(-0.244840\pi\) | |||||||
\(102\) | 2.60368 | − | 0.835267i | 0.257802 | − | 0.0827037i | ||||
\(103\) | 9.21099 | + | 4.62593i | 0.907586 | + | 0.455807i | 0.840420 | − | 0.541935i | \(-0.182308\pi\) |
0.0671655 | + | 0.997742i | \(0.478604\pi\) | |||||||
\(104\) | −11.1327 | − | 11.8000i | −1.09165 | − | 1.15708i | ||||
\(105\) | 4.86499 | + | 12.5950i | 0.474775 | + | 1.22915i | ||||
\(106\) | −0.848216 | + | 1.96638i | −0.0823860 | + | 0.190992i | ||||
\(107\) | 1.36475 | − | 2.36382i | 0.131936 | − | 0.228519i | −0.792487 | − | 0.609889i | \(-0.791214\pi\) |
0.924423 | + | 0.381370i | \(0.124547\pi\) | |||||||
\(108\) | 6.92481 | + | 1.63791i | 0.666340 | + | 0.157608i | ||||
\(109\) | 0.572236 | + | 0.991142i | 0.0548103 | + | 0.0949342i | 0.892129 | − | 0.451781i | \(-0.149211\pi\) |
−0.837318 | + | 0.546715i | \(0.815878\pi\) | |||||||
\(110\) | 7.51192 | − | 0.878017i | 0.716233 | − | 0.0837156i | ||||
\(111\) | −4.60607 | − | 5.27637i | −0.437189 | − | 0.500811i | ||||
\(112\) | −2.12524 | + | 0.503691i | −0.200816 | + | 0.0475944i | ||||
\(113\) | −0.704973 | − | 12.1039i | −0.0663183 | − | 1.13864i | −0.853216 | − | 0.521558i | \(-0.825351\pi\) |
0.786898 | − | 0.617084i | \(-0.211686\pi\) | |||||||
\(114\) | −2.26180 | − | 4.29237i | −0.211837 | − | 0.402017i | ||||
\(115\) | 11.7601 | + | 2.78720i | 1.09664 | + | 0.259907i | ||||
\(116\) | −0.154722 | + | 0.877470i | −0.0143655 | + | 0.0814710i | ||||
\(117\) | 18.1355 | + | 1.40411i | 1.67662 | + | 0.129810i | ||||
\(118\) | −1.02602 | − | 5.81886i | −0.0944530 | − | 0.535670i | ||||
\(119\) | 0.411000 | − | 7.05659i | 0.0376763 | − | 0.646877i | ||||
\(120\) | 0.982142 | − | 10.1131i | 0.0896569 | − | 0.923194i | ||||
\(121\) | 4.70011 | − | 6.31334i | 0.427283 | − | 0.573940i | ||||
\(122\) | −1.24783 | + | 1.67613i | −0.112974 | + | 0.151750i | ||||
\(123\) | −1.37050 | + | 14.1120i | −0.123574 | + | 1.27244i | ||||
\(124\) | −0.203232 | + | 3.48936i | −0.0182508 | + | 0.313354i | ||||
\(125\) | 1.97706 | + | 11.2125i | 0.176834 | + | 1.00287i | ||||
\(126\) | −4.78847 | + | 6.98626i | −0.426591 | + | 0.622386i | ||||
\(127\) | 1.90657 | − | 10.8127i | 0.169181 | − | 0.959471i | −0.775468 | − | 0.631387i | \(-0.782486\pi\) |
0.944648 | − | 0.328084i | \(-0.106403\pi\) | |||||||
\(128\) | 8.72995 | + | 2.06904i | 0.771626 | + | 0.182879i | ||||
\(129\) | −1.87981 | − | 3.56743i | −0.165508 | − | 0.314094i | ||||
\(130\) | −0.613788 | − | 10.5383i | −0.0538328 | − | 0.924274i | ||||
\(131\) | −0.430709 | + | 0.102080i | −0.0376312 | + | 0.00891876i | −0.249388 | − | 0.968404i | \(-0.580230\pi\) |
0.211757 | + | 0.977322i | \(0.432081\pi\) | |||||||
\(132\) | −6.77622 | − | 7.76233i | −0.589794 | − | 0.675624i | ||||
\(133\) | −12.4575 | + | 1.45607i | −1.08020 | + | 0.126258i | ||||
\(134\) | 1.45370 | + | 2.51788i | 0.125580 | + | 0.217511i | ||||
\(135\) | 6.80735 | + | 9.13525i | 0.585883 | + | 0.786237i | ||||
\(136\) | −2.65966 | + | 4.60667i | −0.228064 | + | 0.395019i | ||||
\(137\) | −7.30048 | + | 16.9244i | −0.623722 | + | 1.44595i | 0.254202 | + | 0.967151i | \(0.418187\pi\) |
−0.877924 | + | 0.478800i | \(0.841072\pi\) | |||||||
\(138\) | 2.73175 | + | 7.07224i | 0.232542 | + | 0.602029i | ||||
\(139\) | −13.8000 | − | 14.6271i | −1.17050 | − | 1.24066i | −0.965073 | − | 0.261982i | \(-0.915624\pi\) |
−0.205425 | − | 0.978673i | \(-0.565858\pi\) | |||||||
\(140\) | −9.53985 | − | 4.79109i | −0.806264 | − | 0.404921i | ||||
\(141\) | 4.81513 | − | 1.54471i | 0.405507 | − | 0.130088i | ||||
\(142\) | −0.252871 | − | 0.844649i | −0.0212205 | − | 0.0708813i | ||||
\(143\) | −20.1769 | − | 16.9304i | −1.68728 | − | 1.41579i | ||||
\(144\) | −1.61331 | + | 0.890818i | −0.134442 | + | 0.0742349i | ||||
\(145\) | −1.09278 | + | 0.916948i | −0.0907501 | + | 0.0761484i | ||||
\(146\) | 6.33561 | + | 4.16700i | 0.524339 | + | 0.344863i | ||||
\(147\) | 5.52756 | + | 8.05679i | 0.455906 | + | 0.664513i | ||||
\(148\) | 5.50029 | + | 0.642892i | 0.452121 | + | 0.0528454i | ||||
\(149\) | −0.807837 | − | 1.87278i | −0.0661806 | − | 0.153424i | 0.881916 | − | 0.471407i | \(-0.156254\pi\) |
−0.948096 | + | 0.317983i | \(0.896994\pi\) | |||||||
\(150\) | −0.189349 | + | 0.185768i | −0.0154603 | + | 0.0151679i | ||||
\(151\) | −8.23951 | + | 4.13804i | −0.670521 | + | 0.336749i | −0.751279 | − | 0.659985i | \(-0.770563\pi\) |
0.0807570 | + | 0.996734i | \(0.474266\pi\) | |||||||
\(152\) | 8.86930 | + | 3.22816i | 0.719395 | + | 0.261838i | ||||
\(153\) | −1.26442 | − | 5.82873i | −0.102222 | − | 0.471225i | ||||
\(154\) | 11.5248 | − | 4.19467i | 0.928692 | − | 0.338016i | ||||
\(155\) | −3.84021 | + | 4.07039i | −0.308453 | + | 0.326941i | ||||
\(156\) | −11.3659 | + | 8.81200i | −0.910003 | + | 0.705525i | ||||
\(157\) | 18.5988 | − | 12.2326i | 1.48435 | − | 0.976270i | 0.489815 | − | 0.871826i | \(-0.337064\pi\) |
0.994531 | − | 0.104444i | \(-0.0333062\pi\) | |||||||
\(158\) | 0.632409 | − | 2.11239i | 0.0503117 | − | 0.168053i | ||||
\(159\) | 4.09022 | + | 2.25608i | 0.324375 | + | 0.178919i | ||||
\(160\) | 7.64485 | + | 10.2688i | 0.604378 | + | 0.811821i | ||||
\(161\) | 19.5987 | 1.54460 | ||||||||
\(162\) | −2.30954 | + | 6.76316i | −0.181455 | + | 0.531364i | ||||
\(163\) | 18.7475 | 1.46842 | 0.734210 | − | 0.678922i | \(-0.237553\pi\) | ||||
0.734210 | + | 0.678922i | \(0.237553\pi\) | |||||||
\(164\) | −6.69428 | − | 8.99198i | −0.522735 | − | 0.702155i | ||||
\(165\) | −0.322374 | − | 16.4936i | −0.0250968 | − | 1.28403i | ||||
\(166\) | −2.85066 | + | 9.52188i | −0.221254 | + | 0.739041i | ||||
\(167\) | 3.61867 | − | 2.38004i | 0.280021 | − | 0.184173i | −0.401728 | − | 0.915759i | \(-0.631590\pi\) |
0.681749 | + | 0.731586i | \(0.261220\pi\) | |||||||
\(168\) | −2.23227 | − | 16.3248i | −0.172224 | − | 1.25949i | ||||
\(169\) | −16.3071 | + | 17.2846i | −1.25440 | + | 1.32958i | ||||
\(170\) | −3.25257 | + | 1.18384i | −0.249460 | + | 0.0907962i | ||||
\(171\) | −9.79568 | + | 4.00541i | −0.749094 | + | 0.306302i | ||||
\(172\) | 2.99595 | + | 1.09044i | 0.228439 | + | 0.0831451i | ||||
\(173\) | −8.49841 | + | 4.26806i | −0.646122 | + | 0.324495i | −0.741506 | − | 0.670946i | \(-0.765888\pi\) |
0.0953842 | + | 0.995441i | \(0.469592\pi\) | |||||||
\(174\) | −0.862115 | − | 0.239846i | −0.0653568 | − | 0.0181827i | ||||
\(175\) | 0.271598 | + | 0.629635i | 0.0205309 | + | 0.0475960i | ||||
\(176\) | 2.65052 | + | 0.309802i | 0.199791 | + | 0.0233522i | ||||
\(177\) | −12.8492 | + | 1.00066i | −0.965803 | + | 0.0752143i | ||||
\(178\) | 2.52776 | + | 1.66253i | 0.189464 | + | 0.124612i | ||||
\(179\) | −14.6883 | + | 12.3250i | −1.09786 | + | 0.921212i | −0.997279 | − | 0.0737166i | \(-0.976514\pi\) |
−0.100579 | + | 0.994929i | \(0.532070\pi\) | |||||||
\(180\) | −8.83932 | − | 1.73323i | −0.658844 | − | 0.129187i | ||||
\(181\) | 5.16508 | + | 4.33401i | 0.383917 | + | 0.322145i | 0.814238 | − | 0.580531i | \(-0.197155\pi\) |
−0.430321 | + | 0.902676i | \(0.641600\pi\) | |||||||
\(182\) | −4.90954 | − | 16.3990i | −0.363919 | − | 1.21557i | ||||
\(183\) | 3.37582 | + | 3.06246i | 0.249548 | + | 0.226384i | ||||
\(184\) | −13.1799 | − | 6.61920i | −0.971636 | − | 0.487974i | ||||
\(185\) | 6.08423 | + | 6.44890i | 0.447321 | + | 0.474133i | ||||
\(186\) | −3.46830 | − | 0.541899i | −0.254308 | − | 0.0397339i | ||||
\(187\) | −3.42071 | + | 7.93009i | −0.250147 | + | 0.579905i | ||||
\(188\) | −1.99910 | + | 3.46255i | −0.145800 | + | 0.252532i | ||||
\(189\) | 14.1577 | + | 11.8688i | 1.02982 | + | 0.863331i | ||||
\(190\) | 3.07084 | + | 5.31885i | 0.222782 | + | 0.385870i | ||||
\(191\) | 18.2670 | − | 2.13511i | 1.32175 | − | 0.154491i | 0.574213 | − | 0.818706i | \(-0.305308\pi\) |
0.747542 | + | 0.664215i | \(0.231234\pi\) | |||||||
\(192\) | −1.91007 | + | 5.58514i | −0.137848 | + | 0.403073i | ||||
\(193\) | −9.01053 | + | 2.13553i | −0.648592 | + | 0.153719i | −0.541727 | − | 0.840554i | \(-0.682229\pi\) |
−0.106865 | + | 0.994274i | \(0.534081\pi\) | |||||||
\(194\) | 0.485879 | + | 8.34223i | 0.0348841 | + | 0.598937i | ||||
\(195\) | −23.0083 | − | 0.889363i | −1.64766 | − | 0.0636886i | ||||
\(196\) | −7.51697 | − | 1.78156i | −0.536927 | − | 0.127254i | ||||
\(197\) | −4.14143 | + | 23.4872i | −0.295065 | + | 1.67340i | 0.371874 | + | 0.928283i | \(0.378715\pi\) |
−0.666939 | + | 0.745112i | \(0.732396\pi\) | |||||||
\(198\) | 8.41719 | − | 6.02007i | 0.598184 | − | 0.427828i | ||||
\(199\) | −1.69676 | − | 9.62282i | −0.120280 | − | 0.682144i | −0.984000 | − | 0.178170i | \(-0.942982\pi\) |
0.863719 | − | 0.503973i | \(-0.168129\pi\) | |||||||
\(200\) | 0.0300041 | − | 0.515151i | 0.00212161 | − | 0.0364267i | ||||
\(201\) | 5.77285 | − | 2.62513i | 0.407185 | − | 0.185162i | ||||
\(202\) | −4.38683 | + | 5.89254i | −0.308656 | + | 0.414597i | ||||
\(203\) | −1.38139 | + | 1.85553i | −0.0969545 | + | 0.130232i | ||||
\(204\) | 3.83687 | + | 2.74156i | 0.268635 | + | 0.191948i | ||||
\(205\) | 1.04357 | − | 17.9174i | 0.0728861 | − | 1.25141i | ||||
\(206\) | −1.42127 | − | 8.06042i | −0.0990246 | − | 0.561596i | ||||
\(207\) | 15.9299 | − | 4.43956i | 1.10721 | − | 0.308571i | ||||
\(208\) | 0.646783 | − | 3.66809i | 0.0448463 | − | 0.254336i | ||||
\(209\) | 14.9112 | + | 3.53402i | 1.03143 | + | 0.244453i | ||||
\(210\) | 5.71538 | − | 9.07109i | 0.394399 | − | 0.625965i | ||||
\(211\) | 0.995978 | + | 17.1003i | 0.0685659 | + | 1.17723i | 0.840602 | + | 0.541653i | \(0.182201\pi\) |
−0.772036 | + | 0.635578i | \(0.780762\pi\) | |||||||
\(212\) | −3.59372 | + | 0.851727i | −0.246818 | + | 0.0584969i | ||||
\(213\) | −1.88706 | + | 0.370902i | −0.129299 | + | 0.0254138i | ||||
\(214\) | −2.15276 | + | 0.251622i | −0.147160 | + | 0.0172005i | ||||
\(215\) | 2.55220 | + | 4.42055i | 0.174059 | + | 0.301479i | ||||
\(216\) | −5.51235 | − | 12.7632i | −0.375068 | − | 0.868428i | ||||
\(217\) | −4.53730 | + | 7.85883i | −0.308012 | + | 0.533492i | ||||
\(218\) | 0.359954 | − | 0.834467i | 0.0243792 | − | 0.0565172i | ||||
\(219\) | 10.3824 | − | 12.8761i | 0.701579 | − | 0.870089i | ||||
\(220\) | 8.95081 | + | 9.48730i | 0.603463 | + | 0.639634i | ||||
\(221\) | 10.7722 | + | 5.40998i | 0.724613 | + | 0.363914i | ||||
\(222\) | −1.17661 | + | 5.43578i | −0.0789688 | + | 0.364826i | ||||
\(223\) | −4.57374 | − | 15.2774i | −0.306280 | − | 1.02305i | −0.963132 | − | 0.269028i | \(-0.913298\pi\) |
0.656852 | − | 0.754019i | \(-0.271888\pi\) | |||||||
\(224\) | 15.9031 | + | 13.3443i | 1.06257 | + | 0.891603i | ||||
\(225\) | 0.363383 | + | 0.450247i | 0.0242255 | + | 0.0300165i | ||||
\(226\) | −7.37521 | + | 6.18854i | −0.490592 | + | 0.411656i | ||||
\(227\) | −2.59402 | − | 1.70612i | −0.172171 | − | 0.113239i | 0.460499 | − | 0.887660i | \(-0.347671\pi\) |
−0.632670 | + | 0.774422i | \(0.718041\pi\) | |||||||
\(228\) | 3.60846 | − | 7.54937i | 0.238976 | − | 0.499969i | ||||
\(229\) | −2.79934 | − | 0.327196i | −0.184986 | − | 0.0216217i | 0.0230956 | − | 0.999733i | \(-0.492648\pi\) |
−0.208081 | + | 0.978112i | \(0.566722\pi\) | |||||||
\(230\) | −3.80120 | − | 8.81216i | −0.250643 | − | 0.581057i | ||||
\(231\) | −6.67682 | − | 25.9049i | −0.439302 | − | 1.70442i | ||||
\(232\) | 1.55565 | − | 0.781276i | 0.102133 | − | 0.0512933i | ||||
\(233\) | −0.753290 | − | 0.274175i | −0.0493497 | − | 0.0179618i | 0.317227 | − | 0.948350i | \(-0.397248\pi\) |
−0.366577 | + | 0.930388i | \(0.619470\pi\) | |||||||
\(234\) | −7.70525 | − | 12.2171i | −0.503708 | − | 0.798654i | ||||
\(235\) | −6.01516 | + | 2.18934i | −0.392386 | + | 0.142817i | ||||
\(236\) | 6.99281 | − | 7.41194i | 0.455193 | − | 0.482476i | ||||
\(237\) | −4.45270 | − | 1.81835i | −0.289234 | − | 0.118114i | ||||
\(238\) | −4.68953 | + | 3.08435i | −0.303977 | + | 0.199929i | ||||
\(239\) | 4.88578 | − | 16.3197i | 0.316035 | − | 1.05563i | −0.641454 | − | 0.767162i | \(-0.721668\pi\) |
0.957489 | − | 0.288469i | \(-0.0931463\pi\) | |||||||
\(240\) | 1.99713 | − | 1.20568i | 0.128914 | − | 0.0778265i | ||||
\(241\) | 2.05017 | + | 2.75386i | 0.132063 | + | 0.177391i | 0.863236 | − | 0.504801i | \(-0.168434\pi\) |
−0.731173 | + | 0.682192i | \(0.761027\pi\) | |||||||
\(242\) | −6.24996 | −0.401763 | ||||||||
\(243\) | 14.1960 | + | 6.44000i | 0.910674 | + | 0.413126i | ||||
\(244\) | −3.60375 | −0.230707 | ||||||||
\(245\) | −7.38577 | − | 9.92082i | −0.471860 | − | 0.633818i | ||||
\(246\) | 9.63842 | − | 5.81880i | 0.614523 | − | 0.370993i | ||||
\(247\) | 6.13443 | − | 20.4904i | 0.390325 | − | 1.30378i | ||||
\(248\) | 5.70549 | − | 3.75256i | 0.362299 | − | 0.238288i | ||||
\(249\) | 20.0711 | + | 8.19643i | 1.27196 | + | 0.519428i | ||||
\(250\) | 6.20421 | − | 6.57607i | 0.392388 | − | 0.415907i | ||||
\(251\) | 18.8184 | − | 6.84933i | 1.18781 | − | 0.432326i | 0.328853 | − | 0.944381i | \(-0.393338\pi\) |
0.858953 | + | 0.512055i | \(0.171116\pi\) | |||||||
\(252\) | −14.5958 | + | 0.570781i | −0.919450 | + | 0.0359558i | ||||
\(253\) | −22.5017 | − | 8.18996i | −1.41467 | − | 0.514899i | ||||
\(254\) | −7.79113 | + | 3.91285i | −0.488859 | + | 0.245514i | ||||
\(255\) | 1.88436 | + | 7.31098i | 0.118003 | + | 0.457831i | ||||
\(256\) | −5.52140 | − | 12.8000i | −0.345087 | − | 0.800002i | ||||
\(257\) | −7.21878 | − | 0.843755i | −0.450295 | − | 0.0526320i | −0.112077 | − | 0.993700i | \(-0.535750\pi\) |
−0.338219 | + | 0.941068i | \(0.609824\pi\) | |||||||
\(258\) | −1.38087 | + | 2.88895i | −0.0859690 | + | 0.179858i | ||||
\(259\) | 12.0121 | + | 7.90046i | 0.746393 | + | 0.490911i | ||||
\(260\) | 13.9460 | − | 11.7021i | 0.864894 | − | 0.725732i | ||||
\(261\) | −0.702479 | + | 1.82110i | −0.0434824 | + | 0.112723i | ||||
\(262\) | 0.269255 | + | 0.225932i | 0.0166346 | + | 0.0139581i | ||||
\(263\) | 7.07935 | + | 23.6467i | 0.436532 | + | 1.45812i | 0.839730 | + | 0.543004i | \(0.182713\pi\) |
−0.403198 | + | 0.915113i | \(0.632101\pi\) | |||||||
\(264\) | −4.25894 | + | 19.6757i | −0.262119 | + | 1.21096i | ||||
\(265\) | −5.28405 | − | 2.65375i | −0.324596 | − | 0.163018i | ||||
\(266\) | 6.83461 | + | 7.24426i | 0.419057 | + | 0.444174i | ||||
\(267\) | 4.14234 | − | 5.13728i | 0.253507 | − | 0.314396i | ||||
\(268\) | −1.98598 | + | 4.60401i | −0.121313 | + | 0.281235i | ||||
\(269\) | −0.710882 | + | 1.23128i | −0.0433432 | + | 0.0750727i | −0.886883 | − | 0.461994i | \(-0.847134\pi\) |
0.843540 | + | 0.537066i | \(0.180468\pi\) | |||||||
\(270\) | 2.59068 | − | 8.66769i | 0.157664 | − | 0.527499i | ||||
\(271\) | −5.71617 | − | 9.90069i | −0.347232 | − | 0.601424i | 0.638524 | − | 0.769602i | \(-0.279545\pi\) |
−0.985757 | + | 0.168177i | \(0.946212\pi\) | |||||||
\(272\) | −1.21304 | + | 0.141784i | −0.0735512 | + | 0.00859691i | ||||
\(273\) | −36.6376 | + | 7.20112i | −2.21741 | + | 0.435832i | ||||
\(274\) | 14.2417 | − | 3.37534i | 0.860370 | − | 0.203912i | ||||
\(275\) | −0.0487145 | − | 0.836395i | −0.00293759 | − | 0.0504365i | ||||
\(276\) | −6.97000 | + | 11.0623i | −0.419545 | + | 0.665875i | ||||
\(277\) | −19.4867 | − | 4.61844i | −1.17084 | − | 0.277495i | −0.401213 | − | 0.915985i | \(-0.631411\pi\) |
−0.769630 | + | 0.638490i | \(0.779559\pi\) | |||||||
\(278\) | −2.77287 | + | 15.7258i | −0.166306 | + | 0.943168i | ||||
\(279\) | −1.90773 | + | 7.41549i | −0.114213 | + | 0.443954i | ||||
\(280\) | 3.62180 | + | 20.5402i | 0.216444 | + | 1.22751i | ||||
\(281\) | 1.62636 | − | 27.9236i | 0.0970206 | − | 1.66578i | −0.501866 | − | 0.864946i | \(-0.667353\pi\) |
0.598886 | − | 0.800834i | \(-0.295610\pi\) | |||||||
\(282\) | −3.26716 | − | 2.33448i | −0.194556 | − | 0.139016i | ||||
\(283\) | −9.57145 | + | 12.8567i | −0.568963 | + | 0.764250i | −0.989735 | − | 0.142916i | \(-0.954352\pi\) |
0.420771 | + | 0.907167i | \(0.361759\pi\) | |||||||
\(284\) | 0.908015 | − | 1.21968i | 0.0538808 | − | 0.0723744i | ||||
\(285\) | 12.1948 | − | 5.54542i | 0.722356 | − | 0.328482i | ||||
\(286\) | −1.21610 | + | 20.8797i | −0.0719097 | + | 1.23464i | ||||
\(287\) | −5.05394 | − | 28.6623i | −0.298324 | − | 1.69188i | ||||
\(288\) | 15.9489 | + | 7.24388i | 0.939799 | + | 0.426850i | ||||
\(289\) | −2.26567 | + | 12.8492i | −0.133275 | + | 0.755838i | ||||
\(290\) | 1.10222 | + | 0.261231i | 0.0647247 | + | 0.0153400i | ||||
\(291\) | 18.2136 | + | 0.704026i | 1.06770 | + | 0.0412707i | ||||
\(292\) | 0.760409 | + | 13.0557i | 0.0444996 | + | 0.764028i | ||||
\(293\) | −22.4728 | + | 5.32614i | −1.31287 | + | 0.311157i | −0.826669 | − | 0.562689i | \(-0.809767\pi\) |
−0.486204 | + | 0.873845i | \(0.661619\pi\) | |||||||
\(294\) | 2.51062 | − | 7.34115i | 0.146422 | − | 0.428145i | ||||
\(295\) | 16.2041 | − | 1.89398i | 0.943438 | − | 0.110272i | ||||
\(296\) | −5.40970 | − | 9.36988i | −0.314433 | − | 0.544613i | ||||
\(297\) | −11.2950 | − | 19.5431i | −0.655402 | − | 1.13401i | ||||
\(298\) | −0.809786 | + | 1.40259i | −0.0469097 | + | 0.0812499i | ||||
\(299\) | −13.2380 | + | 30.6892i | −0.765575 | + | 1.77480i | ||||
\(300\) | −0.451983 | − | 0.0706192i | −0.0260952 | − | 0.00407720i | ||||
\(301\) | 5.68031 | + | 6.02077i | 0.327407 | + | 0.347032i | ||||
\(302\) | 6.54275 | + | 3.28589i | 0.376493 | + | 0.189082i | ||||
\(303\) | 11.8679 | + | 10.7663i | 0.681791 | + | 0.618506i | ||||
\(304\) | 0.621516 | + | 2.07601i | 0.0356464 | + | 0.119067i | ||||
\(305\) | −4.41983 | − | 3.70868i | −0.253079 | − | 0.212358i | ||||
\(306\) | −3.11300 | + | 3.56926i | −0.177958 | + | 0.204041i | ||||
\(307\) | 13.6869 | − | 11.4846i | 0.781150 | − | 0.655463i | −0.162388 | − | 0.986727i | \(-0.551920\pi\) |
0.943538 | + | 0.331264i | \(0.107475\pi\) | |||||||
\(308\) | 17.6715 | + | 11.6228i | 1.00693 | + | 0.662268i | ||||
\(309\) | −17.7990 | + | 1.38614i | −1.01255 | + | 0.0788546i | ||||
\(310\) | 4.41357 | + | 0.515873i | 0.250674 | + | 0.0292996i | ||||
\(311\) | 4.61133 | + | 10.6903i | 0.261485 | + | 0.606189i | 0.997492 | − | 0.0707844i | \(-0.0225502\pi\) |
−0.736007 | + | 0.676974i | \(0.763291\pi\) | |||||||
\(312\) | 27.0705 | + | 7.53120i | 1.53256 | + | 0.426370i | ||||
\(313\) | 18.5813 | − | 9.33186i | 1.05027 | − | 0.527468i | 0.162005 | − | 0.986790i | \(-0.448204\pi\) |
0.888270 | + | 0.459322i | \(0.151908\pi\) | |||||||
\(314\) | −16.6108 | − | 6.04583i | −0.937400 | − | 0.341186i | ||||
\(315\) | −18.4885 | − | 14.3207i | −1.04171 | − | 0.806882i | ||||
\(316\) | 3.57345 | − | 1.30063i | 0.201022 | − | 0.0731661i | ||||
\(317\) | −19.1112 | + | 20.2566i | −1.07339 | + | 1.13773i | −0.0834097 | + | 0.996515i | \(0.526581\pi\) |
−0.989980 | + | 0.141211i | \(0.954900\pi\) | |||||||
\(318\) | −0.502528 | − | 3.67503i | −0.0281804 | − | 0.206086i | ||||
\(319\) | 2.36140 | − | 1.55312i | 0.132213 | − | 0.0869578i | ||||
\(320\) | 2.14299 | − | 7.15807i | 0.119797 | − | 0.400149i | ||||
\(321\) | 0.0923860 | + | 4.72674i | 0.00515648 | + | 0.263821i | ||||
\(322\) | −9.29344 | − | 12.4833i | −0.517903 | − | 0.695664i | ||||
\(323\) | −7.01331 | −0.390231 | ||||||||
\(324\) | −11.7343 | + | 3.77022i | −0.651903 | + | 0.209457i | ||||
\(325\) | −1.16938 | −0.0648658 | ||||||||
\(326\) | −8.88982 | − | 11.9411i | −0.492361 | − | 0.661356i | ||||
\(327\) | −1.73575 | − | 0.957405i | −0.0959871 | − | 0.0529446i | ||||
\(328\) | −6.28159 | + | 20.9820i | −0.346843 | + | 1.15854i | ||||
\(329\) | −8.67263 | + | 5.70408i | −0.478138 | + | 0.314476i | ||||
\(330\) | −10.3526 | + | 8.02638i | −0.569893 | + | 0.441837i | ||||
\(331\) | −3.88985 | + | 4.12300i | −0.213806 | + | 0.226621i | −0.825396 | − | 0.564553i | \(-0.809048\pi\) |
0.611591 | + | 0.791174i | \(0.290530\pi\) | |||||||
\(332\) | −16.1078 | + | 5.86275i | −0.884029 | + | 0.321760i | ||||
\(333\) | 11.5531 | + | 3.70052i | 0.633106 | + | 0.202787i | ||||
\(334\) | −3.23187 | − | 1.17630i | −0.176840 | − | 0.0643645i | ||||
\(335\) | −7.17376 | + | 3.60280i | −0.391945 | + | 0.196842i | ||||
\(336\) | 2.70039 | − | 2.64933i | 0.147319 | − | 0.144533i | ||||
\(337\) | −1.28670 | − | 2.98291i | −0.0700912 | − | 0.162490i | 0.879569 | − | 0.475771i | \(-0.157831\pi\) |
−0.949660 | + | 0.313281i | \(0.898572\pi\) | |||||||
\(338\) | 18.7419 | + | 2.19061i | 1.01942 | + | 0.119154i | ||||
\(339\) | 11.8804 | + | 17.3165i | 0.645256 | + | 0.940504i | ||||
\(340\) | −4.98733 | − | 3.28022i | −0.270476 | − | 0.177895i | ||||
\(341\) | 8.49344 | − | 7.12685i | 0.459946 | − | 0.385940i | ||||
\(342\) | 7.19619 | + | 4.33997i | 0.389125 | + | 0.234679i | ||||
\(343\) | 3.70115 | + | 3.10563i | 0.199843 | + | 0.167688i | ||||
\(344\) | −1.78651 | − | 5.96735i | −0.0963220 | − | 0.321738i | ||||
\(345\) | −19.9328 | + | 6.39450i | −1.07315 | + | 0.344268i | ||||
\(346\) | 6.74834 | + | 3.38914i | 0.362793 | + | 0.182201i | ||||
\(347\) | 0.440568 | + | 0.466974i | 0.0236509 | + | 0.0250685i | 0.739091 | − | 0.673605i | \(-0.235255\pi\) |
−0.715440 | + | 0.698674i | \(0.753774\pi\) | |||||||
\(348\) | −0.556067 | − | 1.43961i | −0.0298083 | − | 0.0771710i | ||||
\(349\) | 14.2398 | − | 33.0117i | 0.762241 | − | 1.76707i | 0.131153 | − | 0.991362i | \(-0.458132\pi\) |
0.631088 | − | 0.775711i | \(-0.282609\pi\) | |||||||
\(350\) | 0.272253 | − | 0.471557i | 0.0145526 | − | 0.0252058i | ||||
\(351\) | −28.1480 | + | 14.1524i | −1.50243 | + | 0.755398i | ||||
\(352\) | −12.6824 | − | 21.9665i | −0.675973 | − | 1.17082i | ||||
\(353\) | 32.1605 | − | 3.75902i | 1.71173 | − | 0.200073i | 0.796956 | − | 0.604038i | \(-0.206442\pi\) |
0.914774 | + | 0.403965i | \(0.132368\pi\) | |||||||
\(354\) | 6.73026 | + | 7.70968i | 0.357709 | + | 0.409765i | ||||
\(355\) | 2.36882 | − | 0.561421i | 0.125724 | − | 0.0297971i | ||||
\(356\) | 0.303385 | + | 5.20892i | 0.0160794 | + | 0.276072i | ||||
\(357\) | 5.70744 | + | 10.8314i | 0.302070 | + | 0.573256i | ||||
\(358\) | 14.8153 | + | 3.51129i | 0.783013 | + | 0.185578i | ||||
\(359\) | 6.49719 | − | 36.8474i | 0.342908 | − | 1.94473i | 0.0154001 | − | 0.999881i | \(-0.495098\pi\) |
0.327508 | − | 0.944848i | \(-0.393791\pi\) | |||||||
\(360\) | 7.59665 | + | 15.8748i | 0.400378 | + | 0.836674i | ||||
\(361\) | −1.13839 | − | 6.45612i | −0.0599151 | − | 0.339796i | ||||
\(362\) | 0.311310 | − | 5.34498i | 0.0163621 | − | 0.280926i | ||||
\(363\) | −1.31774 | + | 13.5688i | −0.0691636 | + | 0.712176i | ||||
\(364\) | 17.6293 | − | 23.6802i | 0.924025 | − | 1.24118i | ||||
\(365\) | −12.5032 | + | 16.7947i | −0.654449 | + | 0.879077i | ||||
\(366\) | 0.349848 | − | 3.60238i | 0.0182869 | − | 0.188299i | ||||
\(367\) | 0.532241 | − | 9.13823i | 0.0277828 | − | 0.477012i | −0.955507 | − | 0.294967i | \(-0.904691\pi\) |
0.983290 | − | 0.182045i | \(-0.0582716\pi\) | |||||||
\(368\) | −0.588015 | − | 3.33480i | −0.0306524 | − | 0.173838i | ||||
\(369\) | −10.6005 | − | 22.1520i | −0.551842 | − | 1.15319i | ||||
\(370\) | 1.22252 | − | 6.93328i | 0.0635560 | − | 0.360444i | ||||
\(371\) | −9.33017 | − | 2.21129i | −0.484398 | − | 0.114805i | ||||
\(372\) | −2.82223 | − | 5.35592i | −0.146326 | − | 0.277692i | ||||
\(373\) | 0.586012 | + | 10.0614i | 0.0303425 | + | 0.520961i | 0.978898 | + | 0.204350i | \(0.0655080\pi\) |
−0.948555 | + | 0.316611i | \(0.897455\pi\) | |||||||
\(374\) | 6.67306 | − | 1.58154i | 0.345056 | − | 0.0817797i | ||||
\(375\) | −12.9687 | − | 14.8559i | −0.669699 | − | 0.767157i | ||||
\(376\) | 7.75872 | − | 0.906864i | 0.400126 | − | 0.0467680i | ||||
\(377\) | −1.97246 | − | 3.41641i | −0.101587 | − | 0.175954i | ||||
\(378\) | 0.846384 | − | 14.6457i | 0.0435333 | − | 0.753292i | ||||
\(379\) | 7.02304 | − | 12.1643i | 0.360749 | − | 0.624836i | −0.627335 | − | 0.778750i | \(-0.715854\pi\) |
0.988084 | + | 0.153913i | \(0.0491876\pi\) | |||||||
\(380\) | −4.19525 | + | 9.72568i | −0.215212 | + | 0.498917i | ||||
\(381\) | 6.85218 | + | 17.7397i | 0.351048 | + | 0.908830i | ||||
\(382\) | −10.0219 | − | 10.6226i | −0.512765 | − | 0.543499i | ||||
\(383\) | −19.8500 | − | 9.96905i | −1.01429 | − | 0.509395i | −0.137617 | − | 0.990485i | \(-0.543944\pi\) |
−0.876671 | + | 0.481091i | \(0.840241\pi\) | |||||||
\(384\) | −14.7968 | + | 4.74686i | −0.755097 | + | 0.242237i | ||||
\(385\) | 9.71213 | + | 32.4408i | 0.494976 | + | 1.65334i | ||||
\(386\) | 5.63288 | + | 4.72655i | 0.286706 | + | 0.240575i | ||||
\(387\) | 5.98082 | + | 3.60699i | 0.304022 | + | 0.183354i | ||||
\(388\) | −11.0397 | + | 9.26345i | −0.560458 | + | 0.470280i | ||||
\(389\) | −21.1823 | − | 13.9318i | −1.07399 | − | 0.706372i | −0.116018 | − | 0.993247i | \(-0.537013\pi\) |
−0.957968 | + | 0.286875i | \(0.907383\pi\) | |||||||
\(390\) | 10.3438 | + | 15.0767i | 0.523776 | + | 0.763438i | ||||
\(391\) | 10.8850 | + | 1.27227i | 0.550476 | + | 0.0643414i | ||||
\(392\) | 5.97811 | + | 13.8588i | 0.301940 | + | 0.699976i | ||||
\(393\) | 0.547272 | − | 0.536922i | 0.0276062 | − | 0.0270841i | ||||
\(394\) | 16.9238 | − | 8.49946i | 0.852610 | − | 0.428197i | ||||
\(395\) | 5.72116 | + | 2.08233i | 0.287863 | + | 0.104773i | ||||
\(396\) | 16.9963 | + | 5.44402i | 0.854097 | + | 0.273572i | ||||
\(397\) | 0.810757 | − | 0.295091i | 0.0406907 | − | 0.0148102i | −0.321595 | − | 0.946877i | \(-0.604219\pi\) |
0.362285 | + | 0.932067i | \(0.381997\pi\) | |||||||
\(398\) | −5.32460 | + | 5.64375i | −0.266898 | + | 0.282895i | ||||
\(399\) | 17.1684 | − | 13.3107i | 0.859496 | − | 0.666366i | ||||
\(400\) | 0.0989863 | − | 0.0651043i | 0.00494931 | − | 0.00325521i | ||||
\(401\) | −2.52385 | + | 8.43026i | −0.126035 | + | 0.420987i | −0.997596 | − | 0.0693008i | \(-0.977923\pi\) |
0.871561 | + | 0.490288i | \(0.163108\pi\) | |||||||
\(402\) | −4.40946 | − | 2.43217i | −0.219924 | − | 0.121306i | ||||
\(403\) | −9.24123 | − | 12.4131i | −0.460339 | − | 0.618342i | ||||
\(404\) | −12.6692 | −0.630316 | ||||||||
\(405\) | −18.2715 | − | 7.45190i | −0.907917 | − | 0.370288i | ||||
\(406\) | 1.83690 | 0.0911638 | ||||||||
\(407\) | −10.4899 | − | 14.0903i | −0.519963 | − | 0.698432i | ||||
\(408\) | −0.180044 | − | 9.21158i | −0.00891351 | − | 0.456041i | ||||
\(409\) | −6.06108 | + | 20.2454i | −0.299701 | + | 1.00107i | 0.666978 | + | 0.745078i | \(0.267588\pi\) |
−0.966679 | + | 0.255993i | \(0.917598\pi\) | |||||||
\(410\) | −11.9072 | + | 7.83149i | −0.588055 | + | 0.386770i | ||||
\(411\) | −4.32519 | − | 31.6305i | −0.213346 | − | 1.56022i | ||||
\(412\) | 9.68660 | − | 10.2672i | 0.477224 | − | 0.505828i | ||||
\(413\) | 24.8603 | − | 9.04839i | 1.22329 | − | 0.445242i | ||||
\(414\) | −10.3815 | − | 8.04127i | −0.510222 | − | 0.395207i | ||||
\(415\) | −25.7888 | − | 9.38637i | −1.26592 | − | 0.460759i | ||||
\(416\) | −31.6374 | + | 15.8889i | −1.55115 | + | 0.779016i | ||||
\(417\) | 33.5562 | + | 9.33558i | 1.64326 | + | 0.457165i | ||||
\(418\) | −4.81972 | − | 11.1734i | −0.235740 | − | 0.546507i | ||||
\(419\) | 36.5867 | + | 4.27638i | 1.78738 | + | 0.208915i | 0.944348 | − | 0.328949i | \(-0.106694\pi\) |
0.843032 | + | 0.537864i | \(0.180769\pi\) | |||||||
\(420\) | 18.4344 | − | 1.43563i | 0.899509 | − | 0.0700514i | ||||
\(421\) | 8.43101 | + | 5.54516i | 0.410902 | + | 0.270255i | 0.738087 | − | 0.674706i | \(-0.235729\pi\) |
−0.327184 | + | 0.944961i | \(0.606100\pi\) | |||||||
\(422\) | 10.4196 | − | 8.74309i | 0.507219 | − | 0.425607i | ||||
\(423\) | −5.75705 | + | 6.60085i | −0.279917 | + | 0.320944i | ||||
\(424\) | 5.52760 | + | 4.63821i | 0.268444 | + | 0.225251i | ||||
\(425\) | 0.109970 | + | 0.367325i | 0.00533433 | + | 0.0178179i | ||||
\(426\) | 1.13106 | + | 1.02607i | 0.0548001 | + | 0.0497134i | ||||
\(427\) | −8.36102 | − | 4.19906i | −0.404618 | − | 0.203207i | ||||
\(428\) | −2.56512 | − | 2.71887i | −0.123990 | − | 0.131421i | ||||
\(429\) | 45.0738 | + | 7.04246i | 2.17618 | + | 0.340013i | ||||
\(430\) | 1.60541 | − | 3.72177i | 0.0774200 | − | 0.179480i | ||||
\(431\) | −4.93273 | + | 8.54374i | −0.237601 | + | 0.411537i | −0.960025 | − | 0.279913i | \(-0.909694\pi\) |
0.722424 | + | 0.691450i | \(0.243028\pi\) | |||||||
\(432\) | 1.59476 | − | 2.76509i | 0.0767279 | − | 0.133035i | ||||
\(433\) | 13.7845 | + | 23.8755i | 0.662441 | + | 1.14738i | 0.979972 | + | 0.199133i | \(0.0638127\pi\) |
−0.317532 | + | 0.948248i | \(0.602854\pi\) | |||||||
\(434\) | 7.15714 | − | 0.836550i | 0.343554 | − | 0.0401557i | ||||
\(435\) | 0.799530 | − | 2.33786i | 0.0383346 | − | 0.112092i | ||||
\(436\) | 1.52505 | − | 0.361444i | 0.0730368 | − | 0.0173100i | ||||
\(437\) | −1.13066 | − | 19.4127i | −0.0540867 | − | 0.928633i | ||||
\(438\) | −13.1246 | − | 0.507316i | −0.627116 | − | 0.0242405i | ||||
\(439\) | 18.0768 | + | 4.28427i | 0.862757 | + | 0.204477i | 0.638093 | − | 0.769959i | \(-0.279723\pi\) |
0.224664 | + | 0.974436i | \(0.427872\pi\) | |||||||
\(440\) | 4.42514 | − | 25.0962i | 0.210960 | − | 1.19641i | ||||
\(441\) | −15.4084 | − | 6.99840i | −0.733735 | − | 0.333257i | ||||
\(442\) | −1.66216 | − | 9.42657i | −0.0790609 | − | 0.448376i | ||||
\(443\) | −0.0207328 | + | 0.355969i | −0.000985046 | + | 0.0169126i | −0.998765 | − | 0.0496865i | \(-0.984178\pi\) |
0.997780 | + | 0.0665990i | \(0.0212148\pi\) | |||||||
\(444\) | −8.73127 | + | 3.97043i | −0.414368 | + | 0.188428i | ||||
\(445\) | −4.98849 | + | 6.70071i | −0.236477 | + | 0.317644i | ||||
\(446\) | −7.56199 | + | 10.1575i | −0.358071 | + | 0.480972i | ||||
\(447\) | 2.87431 | + | 2.05378i | 0.135950 | + | 0.0971406i | ||||
\(448\) | 0.704524 | − | 12.0962i | 0.0332856 | − | 0.571492i | ||||
\(449\) | 4.01408 | + | 22.7650i | 0.189436 | + | 1.07435i | 0.920122 | + | 0.391632i | \(0.128089\pi\) |
−0.730686 | + | 0.682714i | \(0.760799\pi\) | |||||||
\(450\) | 0.114470 | − | 0.444955i | 0.00539618 | − | 0.0209754i | ||||
\(451\) | −6.17494 | + | 35.0198i | −0.290766 | + | 1.64902i | ||||
\(452\) | −16.1563 | − | 3.82911i | −0.759928 | − | 0.180106i | ||||
\(453\) | 8.51320 | − | 13.5116i | 0.399985 | − | 0.634831i | ||||
\(454\) | 0.143352 | + | 2.46126i | 0.00672785 | + | 0.115513i | ||||
\(455\) | 45.9911 | − | 10.9001i | 2.15610 | − | 0.511004i | ||||
\(456\) | −16.0411 | + | 3.15287i | −0.751192 | + | 0.147647i | ||||
\(457\) | −23.8829 | + | 2.79151i | −1.11719 | + | 0.130581i | −0.654590 | − | 0.755984i | \(-0.727159\pi\) |
−0.462603 | + | 0.886565i | \(0.653085\pi\) | |||||||
\(458\) | 1.11900 | + | 1.93817i | 0.0522876 | + | 0.0905648i | ||||
\(459\) | 7.09259 | + | 7.51091i | 0.331054 | + | 0.350579i | ||||
\(460\) | 8.27552 | − | 14.3336i | 0.385848 | − | 0.668309i | ||||
\(461\) | 14.3546 | − | 33.2777i | 0.668560 | − | 1.54990i | −0.158241 | − | 0.987401i | \(-0.550582\pi\) |
0.826800 | − | 0.562495i | \(-0.190159\pi\) | |||||||
\(462\) | −13.3339 | + | 16.5365i | −0.620347 | + | 0.769346i | ||||
\(463\) | 19.4374 | + | 20.6024i | 0.903331 | + | 0.957475i | 0.999281 | − | 0.0379108i | \(-0.0120703\pi\) |
−0.0959497 | + | 0.995386i | \(0.530589\pi\) | |||||||
\(464\) | 0.357171 | + | 0.179378i | 0.0165812 | + | 0.00832741i | ||||
\(465\) | 2.05053 | − | 9.47318i | 0.0950910 | − | 0.439308i | ||||
\(466\) | 0.182566 | + | 0.609812i | 0.00845720 | + | 0.0282490i | ||||
\(467\) | 14.1681 | + | 11.8885i | 0.655622 | + | 0.550132i | 0.908771 | − | 0.417295i | \(-0.137022\pi\) |
−0.253149 | + | 0.967427i | \(0.581466\pi\) | |||||||
\(468\) | 8.96503 | − | 23.2408i | 0.414409 | − | 1.07431i | ||||
\(469\) | −9.97220 | + | 8.36767i | −0.460473 | + | 0.386383i | ||||
\(470\) | 4.24679 | + | 2.79316i | 0.195890 | + | 0.128839i | ||||
\(471\) | −16.6278 | + | 34.7876i | −0.766169 | + | 1.60293i | ||||
\(472\) | −19.7742 | − | 2.31127i | −0.910182 | − | 0.106385i | ||||
\(473\) | −4.00571 | − | 9.28629i | −0.184183 | − | 0.426984i | ||||
\(474\) | 0.953226 | + | 3.69835i | 0.0437831 | + | 0.169871i | ||||
\(475\) | 0.607989 | − | 0.305344i | 0.0278965 | − | 0.0140101i | ||||
\(476\) | −9.09626 | − | 3.31077i | −0.416927 | − | 0.151749i | ||||
\(477\) | −8.08451 | + | 0.316151i | −0.370165 | + | 0.0144756i | ||||
\(478\) | −12.7115 | + | 4.62659i | −0.581408 | + | 0.211615i | ||||
\(479\) | −16.2472 | + | 17.2210i | −0.742354 | + | 0.786849i | −0.982969 | − | 0.183771i | \(-0.941169\pi\) |
0.240615 | + | 0.970621i | \(0.422651\pi\) | |||||||
\(480\) | −20.5281 | − | 8.38303i | −0.936973 | − | 0.382631i | ||||
\(481\) | −20.4847 | + | 13.4730i | −0.934024 | + | 0.614317i | ||||
\(482\) | 0.781886 | − | 2.61168i | 0.0356139 | − | 0.118959i | ||||
\(483\) | −29.0608 | + | 17.5442i | −1.32231 | + | 0.798290i | ||||
\(484\) | −6.43658 | − | 8.64582i | −0.292572 | − | 0.392992i | ||||
\(485\) | −23.0729 | −1.04768 | ||||||||
\(486\) | −2.62964 | − | 12.0958i | −0.119283 | − | 0.548676i | ||||
\(487\) | 3.88368 | 0.175986 | 0.0879932 | − | 0.996121i | \(-0.471955\pi\) | ||||
0.0879932 | + | 0.996121i | \(0.471955\pi\) | |||||||
\(488\) | 4.20452 | + | 5.64765i | 0.190330 | + | 0.255657i | ||||
\(489\) | −27.7986 | + | 16.7823i | −1.25710 | + | 0.758921i | ||||
\(490\) | −2.81676 | + | 9.40863i | −0.127248 | + | 0.425038i | ||||
\(491\) | −3.63971 | + | 2.39387i | −0.164258 | + | 0.108034i | −0.628976 | − | 0.777424i | \(-0.716526\pi\) |
0.464719 | + | 0.885458i | \(0.346155\pi\) | |||||||
\(492\) | 17.9756 | + | 7.34068i | 0.810402 | + | 0.330943i | ||||
\(493\) | −0.887665 | + | 0.940870i | −0.0399784 | + | 0.0423746i | ||||
\(494\) | −15.9601 | + | 5.80900i | −0.718078 | + | 0.261359i | ||||
\(495\) | 15.2426 | + | 24.1680i | 0.685106 | + | 1.08627i | ||||
\(496\) | 1.47334 | + | 0.536253i | 0.0661550 | + | 0.0240785i | ||||
\(497\) | 3.52783 | − | 1.77174i | 0.158245 | − | 0.0794735i | ||||
\(498\) | −4.29679 | − | 16.6708i | −0.192544 | − | 0.747036i | ||||
\(499\) | 3.78640 | + | 8.77786i | 0.169503 | + | 0.392951i | 0.981701 | − | 0.190431i | \(-0.0609884\pi\) |
−0.812198 | + | 0.583382i | \(0.801729\pi\) | |||||||
\(500\) | 15.4864 | + | 1.81010i | 0.692573 | + | 0.0809502i | ||||
\(501\) | −3.23519 | + | 6.76843i | −0.144537 | + | 0.302391i | ||||
\(502\) | −13.2860 | − | 8.73837i | −0.592985 | − | 0.390012i | ||||
\(503\) | −13.3954 | + | 11.2401i | −0.597271 | + | 0.501170i | −0.890567 | − | 0.454852i | \(-0.849692\pi\) |
0.293296 | + | 0.956022i | \(0.405248\pi\) | |||||||
\(504\) | 17.9235 | + | 22.2080i | 0.798377 | + | 0.989224i | ||||
\(505\) | −15.5381 | − | 13.0381i | −0.691439 | − | 0.580186i | ||||
\(506\) | 5.45348 | + | 18.2159i | 0.242437 | + | 0.809795i | ||||
\(507\) | 8.70740 | − | 40.2271i | 0.386709 | − | 1.78655i | ||||
\(508\) | −13.4366 | − | 6.74810i | −0.596151 | − | 0.299398i | ||||
\(509\) | −3.29793 | − | 3.49561i | −0.146178 | − | 0.154940i | 0.650147 | − | 0.759808i | \(-0.274707\pi\) |
−0.796326 | + | 0.604868i | \(0.793226\pi\) | |||||||
\(510\) | 3.76313 | − | 4.66699i | 0.166634 | − | 0.206658i | ||||
\(511\) | −13.4482 | + | 31.1764i | −0.594913 | + | 1.37916i | ||||
\(512\) | 3.43707 | − | 5.95318i | 0.151898 | − | 0.263096i | ||||
\(513\) | 10.9394 | − | 14.7080i | 0.482986 | − | 0.649374i | ||||
\(514\) | 2.88562 | + | 4.99805i | 0.127279 | + | 0.220454i | ||||
\(515\) | 22.4463 | − | 2.62359i | 0.989100 | − | 0.115609i | ||||
\(516\) | −5.41850 | + | 1.06500i | −0.238536 | + | 0.0468842i | ||||
\(517\) | 12.3409 | − | 2.92484i | 0.542751 | − | 0.128634i | ||||
\(518\) | −0.663816 | − | 11.3973i | −0.0291664 | − | 0.500768i | ||||
\(519\) | 8.78071 | − | 13.9362i | 0.385430 | − | 0.611731i | ||||
\(520\) | −34.6099 | − | 8.20269i | −1.51774 | − | 0.359712i | ||||
\(521\) | −1.19409 | + | 6.77202i | −0.0523140 | + | 0.296688i | −0.999728 | − | 0.0233231i | \(-0.992575\pi\) |
0.947414 | + | 0.320011i | \(0.103686\pi\) | |||||||
\(522\) | 1.49304 | − | 0.416100i | 0.0653486 | − | 0.0182122i | ||||
\(523\) | −4.96810 | − | 28.1755i | −0.217240 | − | 1.23203i | −0.876977 | − | 0.480532i | \(-0.840444\pi\) |
0.659738 | − | 0.751496i | \(-0.270667\pi\) | |||||||
\(524\) | −0.0352459 | + | 0.605149i | −0.00153973 | + | 0.0264361i | ||||
\(525\) | −0.966355 | − | 0.690490i | −0.0421752 | − | 0.0301354i | ||||
\(526\) | 11.7046 | − | 15.7221i | 0.510347 | − | 0.685515i | ||||
\(527\) | −3.03014 | + | 4.07018i | −0.131995 | + | 0.177300i | ||||
\(528\) | −4.20749 | + | 1.91330i | −0.183108 | + | 0.0832659i | ||||
\(529\) | −0.429446 | + | 7.37330i | −0.0186716 | + | 0.320578i | ||||
\(530\) | 0.815337 | + | 4.62400i | 0.0354160 | + | 0.200854i | ||||
\(531\) | 18.1569 | − | 12.9860i | 0.787941 | − | 0.563544i | ||||
\(532\) | −2.98260 | + | 16.9151i | −0.129312 | + | 0.733364i | ||||
\(533\) | 48.2954 | + | 11.4462i | 2.09190 | + | 0.495791i | ||||
\(534\) | −5.23639 | − | 0.202407i | −0.226601 | − | 0.00875902i | ||||
\(535\) | −0.347967 | − | 5.97436i | −0.0150439 | − | 0.258294i | ||||
\(536\) | 9.53226 | − | 2.25919i | 0.411731 | − | 0.0975820i | ||||
\(537\) | 10.7467 | − | 31.4240i | 0.463756 | − | 1.35604i | ||||
\(538\) | 1.12135 | − | 0.131067i | 0.0483447 | − | 0.00565068i | ||||
\(539\) | 12.2526 | + | 21.2221i | 0.527757 | + | 0.914102i | ||||
\(540\) | 14.6584 | − | 5.34271i | 0.630797 | − | 0.229914i | ||||
\(541\) | 16.4141 | − | 28.4300i | 0.705695 | − | 1.22230i | −0.260745 | − | 0.965408i | \(-0.583968\pi\) |
0.966440 | − | 0.256892i | \(-0.0826985\pi\) | |||||||
\(542\) | −3.59564 | + | 8.33564i | −0.154446 | + | 0.358046i | ||||
\(543\) | −11.5384 | − | 1.80280i | −0.495161 | − | 0.0773654i | ||||
\(544\) | 7.96620 | + | 8.44367i | 0.341548 | + | 0.362020i | ||||
\(545\) | 2.24237 | + | 1.12616i | 0.0960526 | + | 0.0482394i | ||||
\(546\) | 21.9598 | + | 19.9214i | 0.939791 | + | 0.852557i | ||||
\(547\) | 10.4215 | + | 34.8103i | 0.445591 | + | 1.48838i | 0.826058 | + | 0.563585i | \(0.190578\pi\) |
−0.380467 | + | 0.924795i | \(0.624237\pi\) | |||||||
\(548\) | 19.3361 | + | 16.2249i | 0.825999 | + | 0.693095i | ||||
\(549\) | −7.74706 | − | 1.51905i | −0.330637 | − | 0.0648316i | ||||
\(550\) | −0.509636 | + | 0.427635i | −0.0217309 | + | 0.0182344i | ||||
\(551\) | 1.91760 | + | 1.26123i | 0.0816927 | + | 0.0537301i | ||||
\(552\) | 25.4684 | − | 1.98341i | 1.08401 | − | 0.0844196i | ||||
\(553\) | 9.80620 | + | 1.14618i | 0.417002 | + | 0.0487405i | ||||
\(554\) | 6.29865 | + | 14.6019i | 0.267604 | + | 0.620376i | ||||
\(555\) | −14.7945 | − | 4.11594i | −0.627992 | − | 0.174712i | ||||
\(556\) | −24.6097 | + | 12.3595i | −1.04369 | + | 0.524158i | ||||
\(557\) | −7.83290 | − | 2.85094i | −0.331891 | − | 0.120798i | 0.170699 | − | 0.985323i | \(-0.445397\pi\) |
−0.502590 | + | 0.864525i | \(0.667620\pi\) | |||||||
\(558\) | 5.62786 | − | 2.30121i | 0.238246 | − | 0.0974179i | ||||
\(559\) | −13.2646 | + | 4.82791i | −0.561032 | + | 0.204199i | ||||
\(560\) | −3.28621 | + | 3.48318i | −0.138868 | + | 0.147191i | ||||
\(561\) | −2.02661 | − | 14.8208i | −0.0855635 | − | 0.625734i | ||||
\(562\) | −18.5569 | + | 12.2051i | −0.782775 | + | 0.514839i | ||||
\(563\) | 4.07834 | − | 13.6226i | 0.171882 | − | 0.574124i | −0.828028 | − | 0.560687i | \(-0.810537\pi\) |
0.999910 | − | 0.0134378i | \(-0.00427753\pi\) | |||||||
\(564\) | −0.135328 | − | 6.92377i | −0.00569834 | − | 0.291543i | ||||
\(565\) | −15.8743 | − | 21.3229i | −0.667837 | − | 0.897060i | ||||
\(566\) | 12.7276 | 0.534981 | ||||||||
\(567\) | −31.6175 | − | 4.92541i | −1.32781 | − | 0.206848i | ||||
\(568\) | −2.97081 | −0.124652 | ||||||||
\(569\) | 5.62055 | + | 7.54971i | 0.235626 | + | 0.316500i | 0.904171 | − | 0.427171i | \(-0.140490\pi\) |
−0.668545 | + | 0.743672i | \(0.733083\pi\) | |||||||
\(570\) | −9.31470 | − | 5.13781i | −0.390150 | − | 0.215199i | ||||
\(571\) | 7.73879 | − | 25.8494i | 0.323858 | − | 1.08176i | −0.628761 | − | 0.777598i | \(-0.716438\pi\) |
0.952620 | − | 0.304164i | \(-0.0983771\pi\) | |||||||
\(572\) | −30.1361 | + | 19.8208i | −1.26005 | + | 0.828751i | ||||
\(573\) | −25.1749 | + | 19.5180i | −1.05169 | + | 0.815378i | ||||
\(574\) | −15.8597 | + | 16.8103i | −0.661972 | + | 0.701650i | ||||
\(575\) | −0.999017 | + | 0.363613i | −0.0416619 | + | 0.0151637i | ||||
\(576\) | −2.16743 | − | 9.99144i | −0.0903095 | − | 0.416310i | ||||
\(577\) | 35.2517 | + | 12.8306i | 1.46755 | + | 0.534143i | 0.947433 | − | 0.319954i | \(-0.103667\pi\) |
0.520113 | + | 0.854097i | \(0.325890\pi\) | |||||||
\(578\) | 9.25857 | − | 4.64983i | 0.385106 | − | 0.193407i | ||||
\(579\) | 11.4491 | − | 11.2325i | 0.475806 | − | 0.466808i | ||||
\(580\) | 0.773761 | + | 1.79378i | 0.0321287 | + | 0.0744826i | ||||
\(581\) | −44.2027 | − | 5.16655i | −1.83384 | − | 0.214345i | ||||
\(582\) | −8.18819 | − | 11.9348i | −0.339411 | − | 0.494714i | ||||
\(583\) | 9.78813 | + | 6.43775i | 0.405383 | + | 0.266625i | ||||
\(584\) | 19.5732 | − | 16.4239i | 0.809944 | − | 0.679624i | ||||
\(585\) | 34.9126 | − | 19.2777i | 1.44346 | − | 0.797034i | ||||
\(586\) | 14.0487 | + | 11.7883i | 0.580347 | + | 0.486969i | ||||
\(587\) | −7.45341 | − | 24.8961i | −0.307635 | − | 1.02757i | −0.962376 | − | 0.271720i | \(-0.912408\pi\) |
0.654741 | − | 0.755853i | \(-0.272778\pi\) | |||||||
\(588\) | 12.7409 | − | 4.08731i | 0.525425 | − | 0.168558i | ||||
\(589\) | 8.04598 | + | 4.04084i | 0.331529 | + | 0.166500i | ||||
\(590\) | −8.89010 | − | 9.42296i | −0.366000 | − | 0.387937i | ||||
\(591\) | −14.8842 | − | 38.5339i | −0.612256 | − | 1.58507i | ||||
\(592\) | 0.983900 | − | 2.28094i | 0.0404380 | − | 0.0937459i | ||||
\(593\) | −11.0981 | + | 19.2224i | −0.455744 | + | 0.789371i | −0.998731 | − | 0.0503700i | \(-0.983960\pi\) |
0.542987 | + | 0.839741i | \(0.317293\pi\) | |||||||
\(594\) | −7.09192 | + | 16.4613i | −0.290985 | + | 0.675417i | ||||
\(595\) | −7.74896 | − | 13.4216i | −0.317676 | − | 0.550232i | ||||
\(596\) | −2.77423 | + | 0.324260i | −0.113637 | + | 0.0132822i | ||||
\(597\) | 11.1300 | + | 12.7497i | 0.455522 | + | 0.521812i | ||||
\(598\) | 25.8245 | − | 6.12053i | 1.05604 | − | 0.250287i | ||||
\(599\) | 1.60872 | + | 27.6206i | 0.0657304 | + | 1.12855i | 0.856403 | + | 0.516308i | \(0.172694\pi\) |
−0.790673 | + | 0.612239i | \(0.790269\pi\) | |||||||
\(600\) | 0.416659 | + | 0.790720i | 0.0170101 | + | 0.0322810i | ||||
\(601\) | 17.9325 | + | 4.25007i | 0.731481 | + | 0.173364i | 0.579445 | − | 0.815011i | \(-0.303269\pi\) |
0.152035 | + | 0.988375i | \(0.451417\pi\) | |||||||
\(602\) | 1.14136 | − | 6.47299i | 0.0465185 | − | 0.263819i | ||||
\(603\) | −6.20998 | + | 9.06021i | −0.252890 | + | 0.368960i | ||||
\(604\) | 2.19260 | + | 12.4348i | 0.0892156 | + | 0.505967i | ||||
\(605\) | 1.00340 | − | 17.2277i | 0.0407939 | − | 0.700404i | ||||
\(606\) | 1.22991 | − | 12.6644i | 0.0499618 | − | 0.514455i | ||||
\(607\) | −3.50375 | + | 4.70636i | −0.142213 | + | 0.191025i | −0.867523 | − | 0.497397i | \(-0.834289\pi\) |
0.725310 | + | 0.688423i | \(0.241697\pi\) | |||||||
\(608\) | 12.3002 | − | 16.5220i | 0.498837 | − | 0.670055i | ||||
\(609\) | 0.387292 | − | 3.98794i | 0.0156939 | − | 0.161599i | ||||
\(610\) | −0.266392 | + | 4.57378i | −0.0107859 | + | 0.185187i | ||||
\(611\) | −3.07393 | − | 17.4331i | −0.124358 | − | 0.705269i | ||||
\(612\) | −8.14345 | − | 0.630495i | −0.329179 | − | 0.0254863i | ||||
\(613\) | 4.27094 | − | 24.2217i | 0.172502 | − | 0.978305i | −0.768487 | − | 0.639866i | \(-0.778990\pi\) |
0.940988 | − | 0.338439i | \(-0.109899\pi\) | |||||||
\(614\) | −13.8052 | − | 3.27188i | −0.557131 | − | 0.132043i | ||||
\(615\) | 14.4918 | + | 27.5019i | 0.584365 | + | 1.10898i | ||||
\(616\) | −2.40280 | − | 41.2544i | −0.0968114 | − | 1.66219i | ||||
\(617\) | 3.74974 | − | 0.888706i | 0.150959 | − | 0.0357779i | −0.154441 | − | 0.988002i | \(-0.549358\pi\) |
0.305401 | + | 0.952224i | \(0.401210\pi\) | |||||||
\(618\) | 9.32291 | + | 10.6796i | 0.375023 | + | 0.429598i | ||||
\(619\) | −19.9161 | + | 2.32786i | −0.800495 | + | 0.0935644i | −0.506497 | − | 0.862242i | \(-0.669060\pi\) |
−0.293998 | + | 0.955806i | \(0.594986\pi\) | |||||||
\(620\) | 3.83173 | + | 6.63675i | 0.153886 | + | 0.266538i | ||||
\(621\) | −19.6466 | + | 20.8430i | −0.788389 | + | 0.836399i | ||||
\(622\) | 4.62246 | − | 8.00633i | 0.185344 | − | 0.321024i | ||||
\(623\) | −5.36552 | + | 12.4387i | −0.214965 | + | 0.498345i | ||||
\(624\) | 2.32453 | + | 6.01799i | 0.0930556 | + | 0.240912i | ||||
\(625\) | 16.4688 | + | 17.4559i | 0.658750 | + | 0.698235i | ||||
\(626\) | −14.7548 | − | 7.41015i | −0.589721 | − | 0.296169i | ||||
\(627\) | −25.2738 | + | 8.10789i | −1.00934 | + | 0.323798i | ||||
\(628\) | −8.74331 | − | 29.2047i | −0.348896 | − | 1.16539i | ||||
\(629\) | 6.15853 | + | 5.16762i | 0.245557 | + | 0.206047i | ||||
\(630\) | −0.354516 | + | 18.5668i | −0.0141243 | + | 0.739718i | ||||
\(631\) | −1.61408 | + | 1.35437i | −0.0642554 | + | 0.0539167i | −0.674350 | − | 0.738412i | \(-0.735576\pi\) |
0.610094 | + | 0.792329i | \(0.291132\pi\) | |||||||
\(632\) | −6.20745 | − | 4.08270i | −0.246919 | − | 0.162401i | ||||
\(633\) | −16.7845 | − | 24.4645i | −0.667125 | − | 0.972378i | ||||
\(634\) | 21.9645 | + | 2.56729i | 0.872324 | + | 0.101960i | ||||
\(635\) | −9.53473 | − | 22.1040i | −0.378374 | − | 0.877170i | ||||
\(636\) | 4.56629 | − | 4.47993i | 0.181065 | − | 0.177641i | ||||
\(637\) | 30.5652 | − | 15.3504i | 1.21104 | − | 0.608206i | ||||
\(638\) | −2.10899 | − | 0.767608i | −0.0834956 | − | 0.0303899i | ||||
\(639\) | 2.46610 | − | 2.23922i | 0.0975572 | − | 0.0885820i | ||||
\(640\) | 18.4845 | − | 6.72781i | 0.730664 | − | 0.265940i | ||||
\(641\) | 12.0920 | − | 12.8168i | 0.477606 | − | 0.506233i | −0.443109 | − | 0.896468i | \(-0.646125\pi\) |
0.920716 | + | 0.390234i | \(0.127606\pi\) | |||||||
\(642\) | 2.96685 | − | 2.30020i | 0.117092 | − | 0.0907815i | ||||
\(643\) | −28.5010 | + | 18.7454i | −1.12397 | + | 0.739246i | −0.968603 | − | 0.248611i | \(-0.920026\pi\) |
−0.155365 | + | 0.987857i | \(0.549655\pi\) | |||||||
\(644\) | 7.69766 | − | 25.7120i | 0.303330 | − | 1.01319i | ||||
\(645\) | −7.74154 | − | 4.27008i | −0.304823 | − | 0.168134i | ||||
\(646\) | 3.32561 | + | 4.46707i | 0.130845 | + | 0.175755i | ||||
\(647\) | 14.3650 | 0.564747 | 0.282374 | − | 0.959305i | \(-0.408878\pi\) | ||||
0.282374 | + | 0.959305i | \(0.408878\pi\) | |||||||
\(648\) | 19.5989 | + | 13.9907i | 0.769919 | + | 0.549606i | ||||
\(649\) | −32.3238 | −1.26882 | ||||||||
\(650\) | 0.554506 | + | 0.744830i | 0.0217495 | + | 0.0292146i | ||||
\(651\) | −0.307149 | − | 15.7147i | −0.0120381 | − | 0.615906i | ||||
\(652\) | 7.36334 | − | 24.5953i | 0.288371 | − | 0.963225i | ||||
\(653\) | 10.1316 | − | 6.66364i | 0.396479 | − | 0.260769i | −0.335577 | − | 0.942013i | \(-0.608931\pi\) |
0.732056 | + | 0.681244i | \(0.238561\pi\) | |||||||
\(654\) | 0.213256 | + | 1.55956i | 0.00833896 | + | 0.0609836i | ||||
\(655\) | −0.665995 | + | 0.705914i | −0.0260226 | + | 0.0275823i | ||||
\(656\) | −4.72537 | + | 1.71989i | −0.184495 | + | 0.0671506i | ||||
\(657\) | −3.86858 | + | 28.3867i | −0.150928 | + | 1.10747i | ||||
\(658\) | 7.74561 | + | 2.81917i | 0.301955 | + | 0.109903i | ||||
\(659\) | 17.9113 | − | 8.99540i | 0.697726 | − | 0.350411i | −0.0643243 | − | 0.997929i | \(-0.520489\pi\) |
0.762050 | + | 0.647518i | \(0.224193\pi\) | |||||||
\(660\) | −21.7649 | − | 6.05516i | −0.847199 | − | 0.235697i | ||||
\(661\) | −1.40568 | − | 3.25872i | −0.0546745 | − | 0.126750i | 0.888689 | − | 0.458510i | \(-0.151617\pi\) |
−0.943364 | + | 0.331760i | \(0.892357\pi\) | |||||||
\(662\) | 4.47063 | + | 0.522541i | 0.173756 | + | 0.0203092i | ||||
\(663\) | −20.8157 | + | 1.62107i | −0.808415 | + | 0.0629573i | ||||
\(664\) | 27.9809 | + | 18.4033i | 1.08587 | + | 0.714187i | ||||
\(665\) | −21.0656 | + | 17.6762i | −0.816890 | + | 0.685452i | ||||
\(666\) | −3.12130 | − | 9.11339i | −0.120948 | − | 0.353137i | ||||
\(667\) | −2.74741 | − | 2.30535i | −0.106380 | − | 0.0892635i | ||||
\(668\) | −1.70114 | − | 5.68220i | −0.0658191 | − | 0.219851i | ||||
\(669\) | 20.4578 | + | 18.5588i | 0.790943 | + | 0.717526i | ||||
\(670\) | 5.69647 | + | 2.86088i | 0.220074 | + | 0.110525i | ||||
\(671\) | 7.84477 | + | 8.31497i | 0.302844 | + | 0.320996i | ||||
\(672\) | −35.5264 | − | 5.55076i | −1.37046 | − | 0.214125i | ||||
\(673\) | 10.5719 | − | 24.5083i | 0.407516 | − | 0.944727i | −0.583639 | − | 0.812013i | \(-0.698372\pi\) |
0.991154 | − | 0.132714i | \(-0.0423692\pi\) | |||||||
\(674\) | −1.28981 | + | 2.23401i | −0.0496815 | + | 0.0860509i | ||||
\(675\) | −0.941870 | − | 0.342331i | −0.0362526 | − | 0.0131763i | ||||
\(676\) | 16.2711 | + | 28.1824i | 0.625813 | + | 1.08394i | ||||
\(677\) | 35.3686 | − | 4.13399i | 1.35932 | − | 0.158882i | 0.595006 | − | 0.803721i | \(-0.297150\pi\) |
0.764318 | + | 0.644839i | \(0.223076\pi\) | |||||||
\(678\) | 5.39608 | − | 15.7784i | 0.207235 | − | 0.605966i | ||||
\(679\) | −36.4069 | + | 8.62859i | −1.39717 | + | 0.331135i | ||||
\(680\) | 0.678126 | + | 11.6430i | 0.0260050 | + | 0.446488i | ||||
\(681\) | 5.37366 | + | 0.207713i | 0.205919 | + | 0.00795959i | ||||
\(682\) | −8.56686 | − | 2.03038i | −0.328042 | − | 0.0777474i | ||||
\(683\) | −8.25887 | + | 46.8384i | −0.316017 | + | 1.79222i | 0.250442 | + | 0.968132i | \(0.419424\pi\) |
−0.566459 | + | 0.824090i | \(0.691687\pi\) | |||||||
\(684\) | 1.40740 | + | 14.4243i | 0.0538133 | + | 0.551528i | ||||
\(685\) | 7.01750 | + | 39.7982i | 0.268125 | + | 1.52061i | ||||
\(686\) | 0.223076 | − | 3.83006i | 0.00851707 | − | 0.146233i | ||||
\(687\) | 4.44373 | − | 2.02073i | 0.169539 | − | 0.0770957i | ||||
\(688\) | 0.854034 | − | 1.14717i | 0.0325597 | − | 0.0437353i | ||||
\(689\) | 9.76471 | − | 13.1163i | 0.372006 | − | 0.499691i | ||||
\(690\) | 13.5248 | + | 9.66386i | 0.514880 | + | 0.367897i | ||||
\(691\) | −0.181184 | + | 3.11080i | −0.00689255 | + | 0.118340i | 0.993107 | + | 0.117213i | \(0.0373960\pi\) |
−0.999999 | + | 0.00112762i | \(0.999641\pi\) | |||||||
\(692\) | 2.26150 | + | 12.8256i | 0.0859692 | + | 0.487555i | ||||
\(693\) | 33.0896 | + | 32.4346i | 1.25697 | + | 1.23209i | ||||
\(694\) | 0.0885248 | − | 0.502049i | 0.00336035 | − | 0.0190575i | ||||
\(695\) | −42.9019 | − | 10.1679i | −1.62736 | − | 0.385692i | ||||
\(696\) | −1.60732 | + | 2.55104i | −0.0609254 | + | 0.0966969i | ||||
\(697\) | −0.946273 | − | 16.2469i | −0.0358426 | − | 0.615394i | ||||
\(698\) | −27.7789 | + | 6.58371i | −1.05145 | + | 0.249197i | ||||
\(699\) | 1.36241 | − | 0.267780i | 0.0515309 | − | 0.0101284i | ||||
\(700\) | 0.932705 | − | 0.109018i | 0.0352530 | − | 0.00412048i | ||||
\(701\) | −7.89786 | − | 13.6795i | −0.298298 | − | 0.516667i | 0.677449 | − | 0.735570i | \(-0.263086\pi\) |
−0.975747 | + | 0.218903i | \(0.929752\pi\) | |||||||
\(702\) | 22.3616 | + | 11.2178i | 0.843986 | + | 0.423389i | ||||
\(703\) | 7.13247 | − | 12.3538i | 0.269006 | − | 0.465933i | ||||
\(704\) | −5.86368 | + | 13.5935i | −0.220996 | + | 0.512325i | ||||
\(705\) | 6.95939 | − | 8.63094i | 0.262106 | − | 0.325060i | ||||
\(706\) | −17.6443 | − | 18.7019i | −0.664053 | − | 0.703855i | ||||
\(707\) | −29.3936 | − | 14.7620i | −1.10546 | − | 0.555184i | ||||
\(708\) | −3.73390 | + | 17.2501i | −0.140328 | + | 0.648299i | ||||
\(709\) | −4.89465 | − | 16.3493i | −0.183822 | − | 0.614009i | −0.999376 | − | 0.0353277i | \(-0.988753\pi\) |
0.815553 | − | 0.578682i | \(-0.196433\pi\) | |||||||
\(710\) | −1.48085 | − | 1.24258i | −0.0555755 | − | 0.0466334i | ||||
\(711\) | 8.23016 | − | 1.28971i | 0.308655 | − | 0.0483679i | ||||
\(712\) | 7.80924 | − | 6.55273i | 0.292664 | − | 0.245574i | ||||
\(713\) | −11.7547 | − | 7.73116i | −0.440216 | − | 0.289534i | ||||
\(714\) | 4.19256 | − | 8.77139i | 0.156903 | − | 0.328261i | ||||
\(715\) | −57.3584 | − | 6.70424i | −2.14508 | − | 0.250724i | ||||
\(716\) | 10.4004 | + | 24.1107i | 0.388680 | + | 0.901061i | ||||
\(717\) | 7.36432 | + | 28.5722i | 0.275025 | + | 1.06705i | ||||
\(718\) | −26.5505 | + | 13.3342i | −0.990857 | + | 0.497627i | ||||
\(719\) | 9.60505 | + | 3.49595i | 0.358208 | + | 0.130377i | 0.514854 | − | 0.857278i | \(-0.327846\pi\) |
−0.156646 | + | 0.987655i | \(0.550068\pi\) | |||||||
\(720\) | −1.88203 | + | 3.57555i | −0.0701390 | + | 0.133253i | ||||
\(721\) | 34.4370 | − | 12.5340i | 1.28250 | − | 0.466792i | ||||
\(722\) | −3.57237 | + | 3.78649i | −0.132950 | + | 0.140918i | ||||
\(723\) | −5.50515 | − | 2.24813i | −0.204739 | − | 0.0836090i | ||||
\(724\) | 7.71453 | − | 5.07393i | 0.286708 | − | 0.188571i | ||||
\(725\) | 0.0359890 | − | 0.120212i | 0.00133660 | − | 0.00446455i | ||||
\(726\) | 9.26738 | − | 5.59479i | 0.343945 | − | 0.207642i | ||||
\(727\) | 22.2029 | + | 29.8237i | 0.823460 | + | 1.10610i | 0.992710 | + | 0.120525i | \(0.0384579\pi\) |
−0.169251 | + | 0.985573i | \(0.554135\pi\) | |||||||
\(728\) | −57.6788 | −2.13772 | ||||||||
\(729\) | −26.8146 | + | 3.15870i | −0.993133 | + | 0.116989i | ||||
\(730\) | 16.6261 | 0.615361 | ||||||||
\(731\) | 2.76395 | + | 3.71263i | 0.102228 | + | 0.137317i | ||||
\(732\) | 5.34361 | − | 3.22598i | 0.197505 | − | 0.119236i | ||||
\(733\) | 10.1353 | − | 33.8541i | 0.374354 | − | 1.25043i | −0.538667 | − | 0.842519i | \(-0.681072\pi\) |
0.913021 | − | 0.407912i | \(-0.133743\pi\) | |||||||
\(734\) | −6.07291 | + | 3.99421i | −0.224155 | + | 0.147429i | ||||
\(735\) | 19.8324 | + | 8.09895i | 0.731529 | + | 0.298734i | ||||
\(736\) | −22.0876 | + | 23.4115i | −0.814159 | + | 0.862958i | ||||
\(737\) | 14.9460 | − | 5.43991i | 0.550544 | − | 0.200382i | ||||
\(738\) | −9.08293 | + | 17.2561i | −0.334347 | + | 0.635206i | ||||
\(739\) | −23.2146 | − | 8.44943i | −0.853964 | − | 0.310817i | −0.122308 | − | 0.992492i | \(-0.539030\pi\) |
−0.731655 | + | 0.681675i | \(0.761252\pi\) | |||||||
\(740\) | 10.8501 | − | 5.44913i | 0.398858 | − | 0.200314i | ||||
\(741\) | 9.24640 | + | 35.8744i | 0.339675 | + | 1.31788i | ||||
\(742\) | 3.01577 | + | 6.99135i | 0.110712 | + | 0.256660i | ||||
\(743\) | −30.9858 | − | 3.62172i | −1.13676 | − | 0.132868i | −0.473174 | − | 0.880969i | \(-0.656892\pi\) |
−0.663585 | + | 0.748101i | \(0.730966\pi\) | |||||||
\(744\) | −5.10086 | + | 10.6717i | −0.187007 | + | 0.391242i | ||||
\(745\) | −3.73615 | − | 2.45731i | −0.136882 | − | 0.0900287i | ||||
\(746\) | 6.13067 | − | 5.14424i | 0.224460 | − | 0.188344i | ||||
\(747\) | −37.0985 | + | 5.81353i | −1.35736 | + | 0.212706i | ||||
\(748\) | 9.06012 | + | 7.60234i | 0.331271 | + | 0.277969i | ||||
\(749\) | −2.78330 | − | 9.29687i | −0.101700 | − | 0.339700i | ||||
\(750\) | −3.31281 | + | 15.3048i | −0.120967 | + | 0.558851i | ||||
\(751\) | −19.3723 | − | 9.72916i | −0.706907 | − | 0.355022i | 0.0587487 | − | 0.998273i | \(-0.481289\pi\) |
−0.765655 | + | 0.643251i | \(0.777585\pi\) | |||||||
\(752\) | 1.23077 | + | 1.30454i | 0.0448817 | + | 0.0475718i | ||||
\(753\) | −21.7724 | + | 27.0018i | −0.793429 | + | 0.984001i | ||||
\(754\) | −1.24074 | + | 2.87636i | −0.0451851 | + | 0.104751i | ||||
\(755\) | −10.1078 | + | 17.5072i | −0.367859 | + | 0.637151i | ||||
\(756\) | 21.1316 | − | 13.9121i | 0.768549 | − | 0.505979i | ||||
\(757\) | 20.8452 | + | 36.1050i | 0.757632 | + | 1.31226i | 0.944055 | + | 0.329788i | \(0.106977\pi\) |
−0.186422 | + | 0.982470i | \(0.559689\pi\) | |||||||
\(758\) | −11.0782 | + | 1.29485i | −0.402377 | + | 0.0470311i | ||||
\(759\) | 40.6968 | − | 7.99894i | 1.47720 | − | 0.290343i | ||||
\(760\) | 20.1363 | − | 4.77239i | 0.730420 | − | 0.173113i | ||||
\(761\) | −0.139394 | − | 2.39330i | −0.00505303 | − | 0.0867572i | 0.994839 | − | 0.101468i | \(-0.0323541\pi\) |
−0.999892 | + | 0.0147113i | \(0.995317\pi\) | |||||||
\(762\) | 8.04993 | − | 12.7763i | 0.291618 | − | 0.462838i | ||||
\(763\) | 3.95941 | + | 0.938397i | 0.143340 | + | 0.0339723i | ||||
\(764\) | 4.37352 | − | 24.8035i | 0.158228 | − | 0.897358i | ||||
\(765\) | −9.33869 | − | 9.15382i | −0.337641 | − | 0.330957i | ||||
\(766\) | 3.06289 | + | 17.3705i | 0.110667 | + | 0.627621i | ||||
\(767\) | −2.62328 | + | 45.0399i | −0.0947210 | + | 1.62630i | ||||
\(768\) | 19.6453 | + | 14.0372i | 0.708889 | + | 0.506522i | ||||
\(769\) | 16.8531 | − | 22.6376i | 0.607737 | − | 0.816332i | −0.386640 | − | 0.922231i | \(-0.626365\pi\) |
0.994377 | + | 0.105899i | \(0.0337719\pi\) | |||||||
\(770\) | 16.0575 | − | 21.5690i | 0.578674 | − | 0.777294i | ||||
\(771\) | 11.4592 | − | 5.21095i | 0.412695 | − | 0.187668i | ||||
\(772\) | −0.737353 | + | 12.6599i | −0.0265379 | + | 0.455638i | ||||
\(773\) | −5.35215 | − | 30.3536i | −0.192504 | − | 1.09174i | −0.915929 | − | 0.401340i | \(-0.868545\pi\) |
0.723426 | − | 0.690402i | \(-0.242566\pi\) | |||||||
\(774\) | −0.538577 | − | 5.51982i | −0.0193587 | − | 0.198406i | ||||
\(775\) | 0.0854785 | − | 0.484773i | 0.00307048 | − | 0.0174135i | ||||
\(776\) | 27.3974 | + | 6.49331i | 0.983510 | + | 0.233096i | ||||
\(777\) | −24.8836 | − | 0.961851i | −0.892696 | − | 0.0345062i | ||||
\(778\) | 1.17059 | + | 20.0982i | 0.0419675 | + | 0.720555i | ||||
\(779\) | −28.0986 | + | 6.65950i | −1.00674 | + | 0.238601i | ||||
\(780\) | −10.2036 | + | 29.8358i | −0.365347 | + | 1.06829i | ||||
\(781\) | −4.79076 | + | 0.559960i | −0.171427 | + | 0.0200369i | ||||
\(782\) | −4.35113 | − | 7.53638i | −0.155596 | − | 0.269501i | ||||
\(783\) | −0.588567 | − | 3.32914i | −0.0210337 | − | 0.118974i | ||||
\(784\) | −1.73267 | + | 3.00107i | −0.0618811 | + | 0.107181i | ||||
\(785\) | 19.3317 | − | 44.8160i | 0.689979 | − | 1.59955i | ||||
\(786\) | −0.601497 | − | 0.0939797i | −0.0214547 | − | 0.00335215i | ||||
\(787\) | −7.42305 | − | 7.86798i | −0.264603 | − | 0.280463i | 0.581426 | − | 0.813599i | \(-0.302495\pi\) |
−0.846030 | + | 0.533136i | \(0.821013\pi\) | |||||||
\(788\) | 29.1868 | + | 14.6582i | 1.03974 | + | 0.522175i | ||||
\(789\) | −31.6651 | − | 28.7258i | −1.12731 | − | 1.02267i | ||||
\(790\) | −1.38657 | − | 4.63146i | −0.0493319 | − | 0.164780i | ||||
\(791\) | −33.0223 | − | 27.7090i | −1.17414 | − | 0.985220i | ||||
\(792\) | −11.2981 | − | 32.9875i | −0.401460 | − | 1.17216i | ||||
\(793\) | 12.2227 | − | 10.2561i | 0.434041 | − | 0.364204i | ||||
\(794\) | −0.572406 | − | 0.376477i | −0.0203139 | − | 0.0133607i | ||||
\(795\) | 10.2107 | − | 0.795183i | 0.362136 | − | 0.0282022i | ||||
\(796\) | −13.2908 | − | 1.55347i | −0.471080 | − | 0.0550614i | ||||
\(797\) | −6.19201 | − | 14.3547i | −0.219332 | − | 0.508469i | 0.772652 | − | 0.634830i | \(-0.218930\pi\) |
−0.991984 | + | 0.126360i | \(0.959670\pi\) | |||||||
\(798\) | −16.6191 | − | 4.62356i | −0.588311 | − | 0.163672i | ||||
\(799\) | −5.18699 | + | 2.60500i | −0.183503 | + | 0.0921584i | ||||
\(800\) | −1.05821 | − | 0.385158i | −0.0374135 | − | 0.0136174i | ||||
\(801\) | −1.54347 | + | 11.3256i | −0.0545359 | + | 0.400171i | ||||
\(802\) | 6.56637 | − | 2.38996i | 0.231866 | − | 0.0843925i | ||||
\(803\) | 28.4683 | − | 30.1746i | 1.00462 | − | 1.06484i | ||||
\(804\) | −1.17660 | − | 8.60458i | −0.0414954 | − | 0.303460i | ||||
\(805\) | 35.9014 | − | 23.6127i | 1.26536 | − | 0.832238i | ||||
\(806\) | −3.52438 | + | 11.7723i | −0.124141 | + | 0.414660i | ||||
\(807\) | −0.0481227 | − | 2.46210i | −0.00169400 | − | 0.0866699i | ||||
\(808\) | 14.7812 | + | 19.8546i | 0.520001 | + | 0.698483i | ||||
\(809\) | 38.7922 | 1.36386 | 0.681930 | − | 0.731418i | \(-0.261141\pi\) | ||||
0.681930 | + | 0.731418i | \(0.261141\pi\) | |||||||
\(810\) | 3.91765 | + | 15.1715i | 0.137652 | + | 0.533071i | ||||
\(811\) | 36.7652 | 1.29100 | 0.645501 | − | 0.763759i | \(-0.276649\pi\) | ||||
0.645501 | + | 0.763759i | \(0.276649\pi\) | |||||||
\(812\) | 1.89175 | + | 2.54106i | 0.0663873 | + | 0.0891736i | ||||
\(813\) | 17.3387 | + | 9.56369i | 0.608095 | + | 0.335413i | ||||
\(814\) | −4.00058 | + | 13.3629i | −0.140220 | + | 0.468369i | ||||
\(815\) | 34.3421 | − | 22.5872i | 1.20295 | − | 0.791194i | ||||
\(816\) | 1.67176 | − | 1.29611i | 0.0585233 | − | 0.0453731i | ||||
\(817\) | 5.63591 | − | 5.97372i | 0.197176 | − | 0.208994i | ||||
\(818\) | 15.7692 | − | 5.73953i | 0.551358 | − | 0.200678i | ||||
\(819\) | 47.8797 | − | 43.4748i | 1.67305 | − | 1.51913i | ||||
\(820\) | −23.0963 | − | 8.40638i | −0.806559 | − | 0.293564i | ||||
\(821\) | −41.7990 | + | 20.9922i | −1.45879 | + | 0.732634i | −0.988690 | − | 0.149977i | \(-0.952080\pi\) |
−0.470105 | + | 0.882611i | \(0.655784\pi\) | |||||||
\(822\) | −18.0959 | + | 17.7537i | −0.631167 | + | 0.619230i | ||||
\(823\) | −10.1828 | − | 23.6063i | −0.354949 | − | 0.822865i | −0.998355 | − | 0.0573393i | \(-0.981738\pi\) |
0.643405 | − | 0.765526i | \(-0.277521\pi\) | |||||||
\(824\) | −27.3917 | − | 3.20163i | −0.954235 | − | 0.111534i | ||||
\(825\) | 0.820951 | + | 1.19659i | 0.0285819 | + | 0.0416599i | ||||
\(826\) | −17.5517 | − | 11.5439i | −0.610701 | − | 0.401665i | ||||
\(827\) | −5.54306 | + | 4.65118i | −0.192751 | + | 0.161737i | −0.734056 | − | 0.679089i | \(-0.762375\pi\) |
0.541305 | + | 0.840827i | \(0.317931\pi\) | |||||||
\(828\) | 0.432338 | − | 22.6425i | 0.0150248 | − | 0.786881i | ||||
\(829\) | −5.12841 | − | 4.30324i | −0.178117 | − | 0.149458i | 0.549370 | − | 0.835579i | \(-0.314868\pi\) |
−0.727487 | + | 0.686121i | \(0.759312\pi\) | |||||||
\(830\) | 6.25013 | + | 20.8769i | 0.216945 | + | 0.724647i | ||||
\(831\) | 33.0290 | − | 10.5958i | 1.14576 | − | 0.367564i | ||||
\(832\) | 18.4653 | + | 9.27363i | 0.640170 | + | 0.321505i | ||||
\(833\) | −7.69624 | − | 8.15753i | −0.266659 | − | 0.282642i | ||||
\(834\) | −9.96567 | − | 25.8002i | −0.345083 | − | 0.893388i | ||||
\(835\) | 3.76127 | − | 8.71961i | 0.130164 | − | 0.301755i | ||||
\(836\) | 10.4929 | − | 18.1743i | 0.362906 | − | 0.628571i | ||||
\(837\) | −3.80938 | − | 12.7034i | −0.131672 | − | 0.439092i | ||||
\(838\) | −14.6251 | − | 25.3314i | −0.505216 | − | 0.875060i | ||||
\(839\) | −18.4587 | + | 2.15751i | −0.637264 | + | 0.0744855i | −0.428589 | − | 0.903499i | \(-0.640989\pi\) |
−0.208675 | + | 0.977985i | \(0.566915\pi\) | |||||||
\(840\) | −23.7574 | − | 27.2147i | −0.819709 | − | 0.938997i | ||||
\(841\) | −27.8064 | + | 6.59024i | −0.958841 | + | 0.227250i | ||||
\(842\) | −0.465918 | − | 7.99951i | −0.0160566 | − | 0.275681i | ||||
\(843\) | 22.5848 | + | 42.8606i | 0.777863 | + | 1.47620i | ||||
\(844\) | 22.8254 | + | 5.40972i | 0.785682 | + | 0.186210i | ||||
\(845\) | −9.04720 | + | 51.3092i | −0.311233 | + | 1.76509i | ||||
\(846\) | 6.93427 | + | 0.536876i | 0.238405 | + | 0.0184582i | ||||
\(847\) | −4.85938 | − | 27.5589i | −0.166970 | − | 0.946935i | ||||
\(848\) | −0.0963293 | + | 1.65391i | −0.00330796 | + | 0.0567955i | ||||
\(849\) | 2.68349 | − | 27.6319i | 0.0920973 | − | 0.948323i | ||||
\(850\) | 0.181819 | − | 0.244225i | 0.00623633 | − | 0.00837685i | ||||
\(851\) | −13.3110 | + | 17.8798i | −0.456295 | + | 0.612910i | ||||
\(852\) | −0.254575 | + | 2.62135i | −0.00872160 | + | 0.0898060i | ||||
\(853\) | −0.0790454 | + | 1.35716i | −0.00270646 | + | 0.0464682i | −0.999391 | − | 0.0348950i | \(-0.988890\pi\) |
0.996685 | + | 0.0813632i | \(0.0259274\pi\) | |||||||
\(854\) | 1.29012 | + | 7.31663i | 0.0441470 | + | 0.250370i | ||||
\(855\) | −13.1182 | + | 19.1391i | −0.448632 | + | 0.654544i | ||||
\(856\) | −1.26816 | + | 7.19206i | −0.0433446 | + | 0.245820i | ||||
\(857\) | 22.7364 | + | 5.38863i | 0.776662 | + | 0.184072i | 0.599785 | − | 0.800161i | \(-0.295253\pi\) |
0.176876 | + | 0.984233i | \(0.443401\pi\) | |||||||
\(858\) | −16.8877 | − | 32.0488i | −0.576537 | − | 1.09413i | ||||
\(859\) | 0.117834 | + | 2.02312i | 0.00402043 | + | 0.0690281i | 0.999722 | − | 0.0235960i | \(-0.00751154\pi\) |
−0.995701 | + | 0.0926241i | \(0.970475\pi\) | |||||||
\(860\) | 6.80182 | − | 1.61206i | 0.231940 | − | 0.0549708i | ||||
\(861\) | 33.1516 | + | 37.9760i | 1.12980 | + | 1.29422i | ||||
\(862\) | 7.78090 | − | 0.909457i | 0.265019 | − | 0.0309762i | ||||
\(863\) | −3.07024 | − | 5.31781i | −0.104512 | − | 0.181020i | 0.809027 | − | 0.587772i | \(-0.199995\pi\) |
−0.913539 | + | 0.406752i | \(0.866661\pi\) | |||||||
\(864\) | −30.1334 | + | 3.53587i | −1.02516 | + | 0.120293i | ||||
\(865\) | −10.4254 | + | 18.0573i | −0.354474 | + | 0.613966i | ||||
\(866\) | 8.67087 | − | 20.1013i | 0.294648 | − | 0.683071i | ||||
\(867\) | −8.14278 | − | 21.0809i | −0.276543 | − | 0.715945i | ||||
\(868\) | 8.52807 | + | 9.03923i | 0.289462 | + | 0.306811i | ||||
\(869\) | −10.7798 | − | 5.41380i | −0.365678 | − | 0.183650i | ||||
\(870\) | −1.86821 | + | 0.599327i | −0.0633383 | + | 0.0203191i | ||||
\(871\) | −6.36699 | − | 21.2672i | −0.215737 | − | 0.720613i | ||||
\(872\) | −2.34573 | − | 1.96830i | −0.0794364 | − | 0.0666550i | ||||
\(873\) | −27.6371 | + | 15.2604i | −0.935374 | + | 0.516485i | ||||
\(874\) | −11.8286 | + | 9.92537i | −0.400108 | + | 0.335731i | ||||
\(875\) | 33.8207 | + | 22.2442i | 1.14335 | + | 0.751992i | ||||
\(876\) | −12.8146 | − | 18.6782i | −0.432967 | − | 0.631078i | ||||
\(877\) | 29.2278 | + | 3.41624i | 0.986952 | + | 0.115358i | 0.594227 | − | 0.804298i | \(-0.297458\pi\) |
0.392725 | + | 0.919656i | \(0.371532\pi\) | |||||||
\(878\) | −5.84292 | − | 13.5454i | −0.197189 | − | 0.457135i | ||||
\(879\) | 28.5546 | − | 28.0146i | 0.963122 | − | 0.944908i | ||||
\(880\) | 5.22854 | − | 2.62587i | 0.176254 | − | 0.0885181i | ||||
\(881\) | 30.3640 | + | 11.0516i | 1.02299 | + | 0.372338i | 0.798408 | − | 0.602117i | \(-0.205676\pi\) |
0.224582 | + | 0.974455i | \(0.427898\pi\) | |||||||
\(882\) | 2.84888 | + | 13.1328i | 0.0959269 | + | 0.442205i | ||||
\(883\) | −30.7814 | + | 11.2035i | −1.03588 | + | 0.377028i | −0.803316 | − | 0.595554i | \(-0.796933\pi\) |
−0.232561 | + | 0.972582i | \(0.574710\pi\) | |||||||
\(884\) | 11.3284 | − | 12.0074i | 0.381014 | − | 0.403852i | ||||
\(885\) | −22.3318 | + | 17.3138i | −0.750675 | + | 0.581998i | ||||
\(886\) | 0.236563 | − | 0.155590i | 0.00794748 | − | 0.00522714i | ||||
\(887\) | −14.1297 | + | 47.1965i | −0.474429 | + | 1.58470i | 0.301230 | + | 0.953552i | \(0.402603\pi\) |
−0.775659 | + | 0.631152i | \(0.782582\pi\) | |||||||
\(888\) | 16.4091 | + | 9.05095i | 0.550654 | + | 0.303730i | ||||
\(889\) | −23.3112 | − | 31.3124i | −0.781832 | − | 1.05018i | ||||
\(890\) | 6.63344 | 0.222353 | ||||||||
\(891\) | 34.2426 | + | 18.8674i | 1.14717 | + | 0.632082i | ||||
\(892\) | −21.8391 | −0.731226 | ||||||||
\(893\) | 6.15025 | + | 8.26123i | 0.205810 | + | 0.276451i | ||||
\(894\) | −0.0548180 | − | 2.80465i | −0.00183339 | − | 0.0938014i | ||||
\(895\) | −12.0572 | + | 40.2738i | −0.403027 | + | 1.34621i | ||||
\(896\) | 26.6509 | − | 17.5285i | 0.890343 | − | 0.585588i | ||||
\(897\) | −7.84291 | − | 57.3560i | −0.261867 | − | 1.91506i | ||||
\(898\) | 12.5966 | − | 13.3516i | 0.420353 | − | 0.445548i | ||||
\(899\) | 1.56047 | − | 0.567963i | 0.0520445 | − | 0.0189426i | ||||
\(900\) | 0.733412 | − | 0.299889i | 0.0244471 | − | 0.00999631i | ||||
\(901\) | −5.03835 | − | 1.83381i | −0.167852 | − | 0.0610931i | ||||
\(902\) | 25.2337 | − | 12.6728i | 0.840189 | − | 0.421959i | ||||
\(903\) | −13.8123 | − | 3.84269i | −0.459646 | − | 0.127877i | ||||
\(904\) | 12.8488 | + | 29.7869i | 0.427345 | + | 0.990697i | ||||
\(905\) | 14.6832 | + | 1.71621i | 0.488085 | + | 0.0570489i | ||||
\(906\) | −12.6430 | + | 0.984601i | −0.420034 | + | 0.0327112i | ||||
\(907\) | −12.7039 | − | 8.35546i | −0.421825 | − | 0.277438i | 0.320799 | − | 0.947147i | \(-0.396049\pi\) |
−0.742624 | + | 0.669709i | \(0.766419\pi\) | |||||||
\(908\) | −3.25713 | + | 2.73305i | −0.108092 | + | 0.0906996i | ||||
\(909\) | −27.2352 | − | 5.34032i | −0.903335 | − | 0.177127i | ||||
\(910\) | −28.7511 | − | 24.1250i | −0.953088 | − | 0.799736i | ||||
\(911\) | 13.1235 | + | 43.8355i | 0.434801 | + | 1.45233i | 0.842240 | + | 0.539103i | \(0.181237\pi\) |
−0.407439 | + | 0.913232i | \(0.633578\pi\) | |||||||
\(912\) | −2.77996 | − | 2.52192i | −0.0920537 | − | 0.0835090i | ||||
\(913\) | 48.5911 | + | 24.4034i | 1.60813 | + | 0.807634i | ||||
\(914\) | 13.1030 | + | 13.8883i | 0.433407 | + | 0.459385i | ||||
\(915\) | 9.87358 | + | 1.54268i | 0.326410 | + | 0.0509994i | ||||
\(916\) | −1.52873 | + | 3.54400i | −0.0505108 | + | 0.117097i | ||||
\(917\) | −0.786889 | + | 1.36293i | −0.0259853 | + | 0.0450079i | ||||
\(918\) | 1.42081 | − | 8.07914i | 0.0468938 | − | 0.266651i | ||||
\(919\) | 2.18682 | + | 3.78768i | 0.0721364 | + | 0.124944i | 0.899837 | − | 0.436225i | \(-0.143685\pi\) |
−0.827701 | + | 0.561169i | \(0.810352\pi\) | |||||||
\(920\) | −32.1181 | + | 3.75407i | −1.05890 | + | 0.123768i | ||||
\(921\) | −10.0140 | + | 29.2814i | −0.329973 | + | 0.964855i | ||||
\(922\) | −28.0027 | + | 6.63676i | −0.922220 | + | 0.218570i | ||||
\(923\) | 0.391447 | + | 6.72088i | 0.0128846 | + | 0.221221i | ||||
\(924\) | −36.6075 | − | 1.41503i | −1.20430 | − | 0.0465510i | ||||
\(925\) | −0.758874 | − | 0.179857i | −0.0249516 | − | 0.00591365i | ||||
\(926\) | 3.90562 | − | 22.1499i | 0.128347 | − | 0.727890i | ||||
\(927\) | 25.1513 | − | 17.9885i | 0.826077 | − | 0.590820i | ||||
\(928\) | −0.659690 | − | 3.74129i | −0.0216554 | − | 0.122814i | ||||
\(929\) | 0.546559 | − | 9.38406i | 0.0179320 | − | 0.307881i | −0.977402 | − | 0.211390i | \(-0.932201\pi\) |
0.995334 | − | 0.0964911i | \(-0.0307619\pi\) | |||||||
\(930\) | −7.00620 | + | 3.18598i | −0.229742 | + | 0.104472i | ||||
\(931\) | −11.8833 | + | 15.9621i | −0.389460 | + | 0.523136i | ||||
\(932\) | −0.655561 | + | 0.880571i | −0.0214736 | + | 0.0288441i | ||||
\(933\) | −16.4073 | − | 11.7235i | −0.537150 | − | 0.383810i | ||||
\(934\) | 0.853942 | − | 14.6616i | 0.0279418 | − | 0.479743i | ||||
\(935\) | 3.28811 | + | 18.6478i | 0.107533 | + | 0.609848i | ||||
\(936\) | −46.8816 | + | 13.0656i | −1.53237 | + | 0.427061i | ||||
\(937\) | −7.81530 | + | 44.3228i | −0.255315 | + | 1.44796i | 0.539949 | + | 0.841698i | \(0.318444\pi\) |
−0.795263 | + | 0.606264i | \(0.792667\pi\) | |||||||
\(938\) | 10.0584 | + | 2.38389i | 0.328418 | + | 0.0778366i | ||||
\(939\) | −19.1985 | + | 30.4706i | −0.626518 | + | 0.994371i | ||||
\(940\) | 0.509706 | + | 8.75131i | 0.0166248 | + | 0.285436i | ||||
\(941\) | −15.6361 | + | 3.70582i | −0.509722 | + | 0.120806i | −0.477426 | − | 0.878672i | \(-0.658430\pi\) |
−0.0322960 | + | 0.999478i | \(0.510282\pi\) | |||||||
\(942\) | 30.0423 | − | 5.90482i | 0.978832 | − | 0.192389i | ||||
\(943\) | 44.8184 | − | 5.23852i | 1.45949 | − | 0.170590i | ||||
\(944\) | −2.28550 | − | 3.95860i | −0.0743866 | − | 0.128841i | ||||
\(945\) | 40.2340 | + | 4.68429i | 1.30881 | + | 0.152380i | ||||
\(946\) | −4.01538 | + | 6.95484i | −0.130551 | + | 0.226121i | ||||
\(947\) | −0.453561 | + | 1.05147i | −0.0147388 | + | 0.0341683i | −0.925427 | − | 0.378927i | \(-0.876293\pi\) |
0.910688 | + | 0.413095i | \(0.135552\pi\) | |||||||
\(948\) | −4.13439 | + | 5.12741i | −0.134279 | + | 0.166531i | ||||
\(949\) | −39.7349 | − | 42.1165i | −1.28985 | − | 1.36716i | ||||
\(950\) | −0.482786 | − | 0.242464i | −0.0156637 | − | 0.00786658i | ||||
\(951\) | 10.2046 | − | 47.1441i | 0.330908 | − | 1.52875i | ||||
\(952\) | 5.42416 | + | 18.1180i | 0.175798 | + | 0.587207i | ||||
\(953\) | −26.6974 | − | 22.4018i | −0.864813 | − | 0.725664i | 0.0981862 | − | 0.995168i | \(-0.468696\pi\) |
−0.962999 | + | 0.269504i | \(0.913140\pi\) | |||||||
\(954\) | 4.03493 | + | 4.99946i | 0.130636 | + | 0.161863i | ||||
\(955\) | 30.8895 | − | 25.9194i | 0.999562 | − | 0.838732i | ||||
\(956\) | −19.4911 | − | 12.8195i | −0.630389 | − | 0.414613i | ||||
\(957\) | −2.11115 | + | 4.41680i | −0.0682438 | + | 0.142775i | ||||
\(958\) | 18.6730 | + | 2.18256i | 0.603298 | + | 0.0705154i | ||||
\(959\) | 25.9564 | + | 60.1736i | 0.838175 | + | 1.94311i | ||||
\(960\) | 3.23011 | + | 12.5323i | 0.104251 | + | 0.404477i | ||||
\(961\) | −21.8812 | + | 10.9891i | −0.705845 | + | 0.354489i | ||||
\(962\) | 18.2951 | + | 6.65888i | 0.589859 | + | 0.214691i | ||||
\(963\) | −4.36823 | − | 6.92606i | −0.140764 | − | 0.223189i | ||||
\(964\) | 4.41807 | − | 1.60805i | 0.142297 | − | 0.0517917i | ||||
\(965\) | −13.9328 | + | 14.7679i | −0.448512 | + | 0.475395i | ||||
\(966\) | 24.9549 | + | 10.1908i | 0.802910 | + | 0.327884i | ||||
\(967\) | 4.83144 | − | 3.17769i | 0.155369 | − | 0.102188i | −0.469444 | − | 0.882962i | \(-0.655546\pi\) |
0.624813 | + | 0.780775i | \(0.285175\pi\) | |||||||
\(968\) | −6.03977 | + | 20.1742i | −0.194126 | + | 0.648425i | ||||
\(969\) | 10.3993 | − | 6.27812i | 0.334073 | − | 0.201682i | ||||
\(970\) | 10.9408 | + | 14.6961i | 0.351289 | + | 0.471863i | ||||
\(971\) | 46.7342 | 1.49977 | 0.749886 | − | 0.661567i | \(-0.230108\pi\) | ||||
0.749886 | + | 0.661567i | \(0.230108\pi\) | |||||||
\(972\) | 14.0244 | − | 16.0946i | 0.449834 | − | 0.516236i | ||||
\(973\) | −71.4979 | −2.29212 | ||||||||
\(974\) | −1.84159 | − | 2.47368i | −0.0590083 | − | 0.0792619i | ||||
\(975\) | 1.73395 | − | 1.04680i | 0.0555309 | − | 0.0335245i | ||||
\(976\) | −0.463634 | + | 1.54864i | −0.0148406 | + | 0.0495709i | ||||
\(977\) | 8.27572 | − | 5.44303i | 0.264764 | − | 0.174138i | −0.410185 | − | 0.912002i | \(-0.634536\pi\) |
0.674949 | + | 0.737864i | \(0.264166\pi\) | |||||||
\(978\) | 23.8711 | + | 9.74822i | 0.763313 | + | 0.311714i | ||||
\(979\) | 11.3582 | − | 12.0390i | 0.363009 | − | 0.384767i | ||||
\(980\) | −15.9162 | + | 5.79302i | −0.508424 | + | 0.185051i | ||||
\(981\) | 3.43079 | − | 0.134164i | 0.109537 | − | 0.00428352i | ||||
\(982\) | 3.25066 | + | 1.18314i | 0.103733 | + | 0.0377556i | ||||
\(983\) | 21.6275 | − | 10.8617i | 0.689811 | − | 0.346436i | −0.0691191 | − | 0.997608i | \(-0.522019\pi\) |
0.758930 | + | 0.651172i | \(0.225723\pi\) | |||||||
\(984\) | −9.46821 | − | 36.7350i | −0.301835 | − | 1.17107i | ||||
\(985\) | 20.7112 | + | 48.0141i | 0.659915 | + | 1.52986i | ||||
\(986\) | 1.02020 | + | 0.119244i | 0.0324897 | + | 0.00379750i | ||||
\(987\) | 7.75355 | − | 16.2214i | 0.246798 | − | 0.516334i | ||||
\(988\) | −24.4724 | − | 16.0958i | −0.778572 | − | 0.512075i | ||||
\(989\) | −9.83086 | + | 8.24907i | −0.312603 | + | 0.262305i | ||||
\(990\) | 8.16577 | − | 21.1688i | 0.259525 | − | 0.672789i | ||||
\(991\) | 5.08902 | + | 4.27019i | 0.161658 | + | 0.135647i | 0.720028 | − | 0.693945i | \(-0.244129\pi\) |
−0.558370 | + | 0.829592i | \(0.688573\pi\) | |||||||
\(992\) | −4.27420 | − | 14.2768i | −0.135706 | − | 0.453289i | ||||
\(993\) | 2.07704 | − | 9.59564i | 0.0659127 | − | 0.304508i | ||||
\(994\) | −2.80135 | − | 1.40689i | −0.0888533 | − | 0.0446238i | ||||
\(995\) | −14.7018 | − | 15.5830i | −0.466079 | − | 0.494015i | ||||
\(996\) | 18.6363 | − | 23.1125i | 0.590513 | − | 0.732346i | ||||
\(997\) | −19.3583 | + | 44.8776i | −0.613084 | + | 1.42129i | 0.274927 | + | 0.961465i | \(0.411346\pi\) |
−0.888011 | + | 0.459823i | \(0.847913\pi\) | |||||||
\(998\) | 3.79553 | − | 6.57406i | 0.120146 | − | 0.208098i | ||||
\(999\) | −20.4434 | + | 4.85492i | −0.646801 | + | 0.153603i |
(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 | 81.2.g.a.7.4 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.100.5 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.55.5 | 144 | |||
9.4 | even | 3 | 729.2.g.d.298.5 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.298.4 | 144 | |||
9.7 | even | 3 | 729.2.g.c.55.4 | 144 | |||
81.4 | even | 27 | 729.2.g.c.676.4 | 144 | |||
81.23 | odd | 54 | 243.2.g.a.226.5 | 144 | |||
81.25 | even | 27 | 6561.2.a.c.1.29 | 72 | |||
81.31 | even | 27 | 729.2.g.d.433.5 | 144 | |||
81.50 | odd | 54 | 729.2.g.a.433.4 | 144 | |||
81.56 | odd | 54 | 6561.2.a.d.1.44 | 72 | |||
81.58 | even | 27 | inner | 81.2.g.a.58.4 | yes | 144 | |
81.77 | odd | 54 | 729.2.g.b.676.5 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.7.4 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.58.4 | yes | 144 | 81.58 | even | 27 | inner | |
243.2.g.a.100.5 | 144 | 3.2 | odd | 2 | |||
243.2.g.a.226.5 | 144 | 81.23 | odd | 54 | |||
729.2.g.a.298.4 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.433.4 | 144 | 81.50 | odd | 54 | |||
729.2.g.b.55.5 | 144 | 9.2 | odd | 6 | |||
729.2.g.b.676.5 | 144 | 81.77 | odd | 54 | |||
729.2.g.c.55.4 | 144 | 9.7 | even | 3 | |||
729.2.g.c.676.4 | 144 | 81.4 | even | 27 | |||
729.2.g.d.298.5 | 144 | 9.4 | even | 3 | |||
729.2.g.d.433.5 | 144 | 81.31 | even | 27 | |||
6561.2.a.c.1.29 | 72 | 81.25 | even | 27 | |||
6561.2.a.d.1.44 | 72 | 81.56 | odd | 54 |