Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(16,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.s (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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(208\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.17 | ||
Character | \(\chi\) | \(=\) | 287.16 |
Dual form | 287.2.s.a.18.17 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.555807 | + | 0.617286i | 0.393015 | + | 0.436487i | 0.906883 | − | 0.421382i | \(-0.138455\pi\) |
−0.513868 | + | 0.857869i | \(0.671788\pi\) | |||||||
\(3\) | 0.273386 | + | 0.473519i | 0.157840 | + | 0.273386i | 0.934089 | − | 0.357039i | \(-0.116214\pi\) |
−0.776250 | + | 0.630426i | \(0.782880\pi\) | |||||||
\(4\) | 0.136936 | − | 1.30286i | 0.0684680 | − | 0.651430i | ||||
\(5\) | 0.363286 | − | 0.161745i | 0.162466 | − | 0.0723347i | −0.323892 | − | 0.946094i | \(-0.604992\pi\) |
0.486359 | + | 0.873759i | \(0.338325\pi\) | |||||||
\(6\) | −0.140347 | + | 0.431943i | −0.0572963 | + | 0.176340i | ||||
\(7\) | 0.688603 | − | 2.55457i | 0.260268 | − | 0.965537i | ||||
\(8\) | 2.22435 | − | 1.61609i | 0.786427 | − | 0.571373i | ||||
\(9\) | 1.35052 | − | 2.33917i | 0.450173 | − | 0.779723i | ||||
\(10\) | 0.301760 | + | 0.134352i | 0.0954249 | + | 0.0424859i | ||||
\(11\) | −3.00257 | − | 1.33683i | −0.905308 | − | 0.403069i | −0.0993573 | − | 0.995052i | \(-0.531679\pi\) |
−0.805951 | + | 0.591983i | \(0.798345\pi\) | |||||||
\(12\) | 0.654366 | − | 0.291342i | 0.188899 | − | 0.0841033i | ||||
\(13\) | −1.71180 | + | 5.26837i | −0.474767 | + | 1.46118i | 0.371504 | + | 0.928431i | \(0.378842\pi\) |
−0.846271 | + | 0.532752i | \(0.821158\pi\) | |||||||
\(14\) | 1.95963 | − | 0.994782i | 0.523733 | − | 0.265867i | ||||
\(15\) | 0.175907 | + | 0.127804i | 0.0454190 | + | 0.0329988i | ||||
\(16\) | −0.328920 | − | 0.0699141i | −0.0822300 | − | 0.0174785i | ||||
\(17\) | 0.376327 | + | 0.167552i | 0.0912727 | + | 0.0406372i | 0.451865 | − | 0.892086i | \(-0.350759\pi\) |
−0.360592 | + | 0.932723i | \(0.617425\pi\) | |||||||
\(18\) | 2.19456 | − | 0.466469i | 0.517264 | − | 0.109948i | ||||
\(19\) | 4.96258 | + | 1.05483i | 1.13849 | + | 0.241994i | 0.738324 | − | 0.674447i | \(-0.235618\pi\) |
0.400170 | + | 0.916441i | \(0.368951\pi\) | |||||||
\(20\) | −0.160985 | − | 0.495459i | −0.0359972 | − | 0.110788i | ||||
\(21\) | 1.39789 | − | 0.372318i | 0.305045 | − | 0.0812464i | ||||
\(22\) | −0.843642 | − | 2.59646i | −0.179865 | − | 0.553567i | ||||
\(23\) | 4.87647 | + | 5.41587i | 1.01681 | + | 1.12929i | 0.991566 | + | 0.129605i | \(0.0413709\pi\) |
0.0252479 | + | 0.999681i | \(0.491962\pi\) | |||||||
\(24\) | 1.37336 | + | 0.611457i | 0.280335 | + | 0.124813i | ||||
\(25\) | −3.23984 | + | 3.59820i | −0.647968 | + | 0.719641i | ||||
\(26\) | −4.20352 | + | 1.87153i | −0.824378 | + | 0.367037i | ||||
\(27\) | 3.11717 | 0.599900 | ||||||||
\(28\) | −3.23395 | − | 1.24697i | −0.611159 | − | 0.235654i | ||||
\(29\) | 0.893459 | + | 0.649136i | 0.165911 | + | 0.120541i | 0.667643 | − | 0.744482i | \(-0.267303\pi\) |
−0.501732 | + | 0.865023i | \(0.667303\pi\) | |||||||
\(30\) | 0.0188787 | + | 0.179619i | 0.00344677 | + | 0.0327938i | ||||
\(31\) | −4.60869 | − | 2.05192i | −0.827745 | − | 0.368536i | −0.0512707 | − | 0.998685i | \(-0.516327\pi\) |
−0.776474 | + | 0.630149i | \(0.782994\pi\) | |||||||
\(32\) | −2.88911 | − | 5.00408i | −0.510727 | − | 0.884605i | ||||
\(33\) | −0.187847 | − | 1.78724i | −0.0327000 | − | 0.311119i | ||||
\(34\) | 0.105738 | + | 0.325428i | 0.0181339 | + | 0.0558104i | ||||
\(35\) | −0.163030 | − | 1.03942i | −0.0275571 | − | 0.175694i | ||||
\(36\) | −2.86267 | − | 2.07985i | −0.477112 | − | 0.346642i | ||||
\(37\) | −8.33400 | + | 3.71054i | −1.37010 | + | 0.610009i | −0.954137 | − | 0.299372i | \(-0.903223\pi\) |
−0.415965 | + | 0.909380i | \(0.636556\pi\) | |||||||
\(38\) | 2.10710 | + | 3.64961i | 0.341818 | + | 0.592045i | ||||
\(39\) | −2.96266 | + | 0.629732i | −0.474405 | + | 0.100838i | ||||
\(40\) | 0.546681 | − | 0.946880i | 0.0864379 | − | 0.149715i | ||||
\(41\) | 5.96086 | + | 2.33840i | 0.930930 | + | 0.365196i | ||||
\(42\) | 1.00679 | + | 0.655963i | 0.155350 | + | 0.101217i | ||||
\(43\) | 0.919776 | − | 2.83078i | 0.140264 | − | 0.431690i | −0.856107 | − | 0.516798i | \(-0.827124\pi\) |
0.996372 | + | 0.0851086i | \(0.0271237\pi\) | |||||||
\(44\) | −2.15286 | + | 3.72886i | −0.324556 | + | 0.562147i | ||||
\(45\) | 0.112275 | − | 1.06823i | 0.0167370 | − | 0.159242i | ||||
\(46\) | −0.632764 | + | 6.02035i | −0.0932960 | + | 0.887652i | ||||
\(47\) | 5.88709 | + | 6.53828i | 0.858721 | + | 0.953706i | 0.999339 | − | 0.0363581i | \(-0.0115757\pi\) |
−0.140618 | + | 0.990064i | \(0.544909\pi\) | |||||||
\(48\) | −0.0568166 | − | 0.174864i | −0.00820077 | − | 0.0252394i | ||||
\(49\) | −6.05165 | − | 3.51817i | −0.864522 | − | 0.502596i | ||||
\(50\) | −4.02185 | −0.568775 | ||||||||
\(51\) | 0.0235438 | + | 0.224004i | 0.00329679 | + | 0.0313669i | ||||
\(52\) | 6.62954 | + | 2.95166i | 0.919352 | + | 0.409322i | ||||
\(53\) | 0.644847 | − | 6.13531i | 0.0885766 | − | 0.842750i | −0.856554 | − | 0.516057i | \(-0.827399\pi\) |
0.945131 | − | 0.326693i | \(-0.105934\pi\) | |||||||
\(54\) | 1.73255 | + | 1.92419i | 0.235770 | + | 0.261849i | ||||
\(55\) | −1.30702 | −0.176238 | ||||||||
\(56\) | −2.59671 | − | 6.79510i | −0.347000 | − | 0.908034i | ||||
\(57\) | 0.857220 | + | 2.63825i | 0.113542 | + | 0.349445i | ||||
\(58\) | 0.0958880 | + | 0.912314i | 0.0125907 | + | 0.119793i | ||||
\(59\) | 2.24608 | − | 0.477419i | 0.292415 | − | 0.0621546i | −0.0593687 | − | 0.998236i | \(-0.518909\pi\) |
0.351783 | + | 0.936081i | \(0.385575\pi\) | |||||||
\(60\) | 0.190599 | − | 0.211681i | 0.0246062 | − | 0.0273279i | ||||
\(61\) | −13.8802 | − | 2.95032i | −1.77717 | − | 0.377750i | −0.801675 | − | 0.597760i | \(-0.796058\pi\) |
−0.975498 | + | 0.220010i | \(0.929391\pi\) | |||||||
\(62\) | −1.29492 | − | 3.98535i | −0.164455 | − | 0.506140i | ||||
\(63\) | −5.04560 | − | 5.06076i | −0.635685 | − | 0.637595i | ||||
\(64\) | 1.27534 | − | 3.92509i | 0.159417 | − | 0.490636i | ||||
\(65\) | 0.230262 | + | 2.19080i | 0.0285605 | + | 0.271735i | ||||
\(66\) | 0.998834 | − | 1.10932i | 0.122948 | − | 0.136548i | ||||
\(67\) | −1.30102 | + | 12.3783i | −0.158945 | + | 1.51226i | 0.566550 | + | 0.824028i | \(0.308278\pi\) |
−0.725494 | + | 0.688228i | \(0.758389\pi\) | |||||||
\(68\) | 0.269829 | − | 0.467357i | 0.0327216 | − | 0.0566754i | ||||
\(69\) | −1.23136 | + | 3.78973i | −0.148238 | + | 0.456229i | ||||
\(70\) | 0.551005 | − | 0.678351i | 0.0658577 | − | 0.0810785i | ||||
\(71\) | 6.41704 | − | 4.66226i | 0.761563 | − | 0.553308i | −0.137826 | − | 0.990456i | \(-0.544012\pi\) |
0.899389 | + | 0.437149i | \(0.144012\pi\) | |||||||
\(72\) | −0.776267 | − | 7.38569i | −0.0914840 | − | 0.870412i | ||||
\(73\) | 0.361058 | + | 0.625371i | 0.0422587 | + | 0.0731942i | 0.886381 | − | 0.462956i | \(-0.153211\pi\) |
−0.844122 | + | 0.536150i | \(0.819878\pi\) | |||||||
\(74\) | −6.92256 | − | 3.08212i | −0.804731 | − | 0.358289i | ||||
\(75\) | −2.58955 | − | 0.550425i | −0.299015 | − | 0.0635576i | ||||
\(76\) | 2.05385 | − | 6.32110i | 0.235593 | − | 0.725080i | ||||
\(77\) | −5.48260 | + | 6.74972i | −0.624800 | + | 0.769202i | ||||
\(78\) | −2.03539 | − | 1.47880i | −0.230463 | − | 0.167441i | ||||
\(79\) | −1.28211 | + | 2.22068i | −0.144249 | + | 0.249846i | −0.929092 | − | 0.369848i | \(-0.879410\pi\) |
0.784844 | + | 0.619694i | \(0.212743\pi\) | |||||||
\(80\) | −0.130800 | + | 0.0278025i | −0.0146239 | + | 0.00310841i | ||||
\(81\) | −3.19937 | − | 5.54146i | −0.355485 | − | 0.615718i | ||||
\(82\) | 1.86963 | + | 4.97926i | 0.206466 | + | 0.549867i | ||||
\(83\) | −13.0686 | −1.43446 | −0.717230 | − | 0.696836i | \(-0.754590\pi\) | ||||
−0.717230 | + | 0.696836i | \(0.754590\pi\) | |||||||
\(84\) | −0.293656 | − | 1.87224i | −0.0320405 | − | 0.204278i | ||||
\(85\) | 0.163815 | 0.0177682 | ||||||||
\(86\) | 2.25862 | − | 1.00560i | 0.243553 | − | 0.108437i | ||||
\(87\) | −0.0631187 | + | 0.600535i | −0.00676704 | + | 0.0643841i | ||||
\(88\) | −8.83920 | + | 1.87883i | −0.942261 | + | 0.200284i | ||||
\(89\) | 8.49292 | + | 1.80523i | 0.900248 | + | 0.191354i | 0.634713 | − | 0.772748i | \(-0.281118\pi\) |
0.265535 | + | 0.964101i | \(0.414452\pi\) | |||||||
\(90\) | 0.721805 | − | 0.524422i | 0.0760849 | − | 0.0552789i | ||||
\(91\) | 12.2797 | + | 8.00072i | 1.28726 | + | 0.838704i | ||||
\(92\) | 7.72388 | − | 5.61173i | 0.805270 | − | 0.585063i | ||||
\(93\) | −0.288329 | − | 2.74327i | −0.0298984 | − | 0.284464i | ||||
\(94\) | −0.763902 | + | 7.26804i | −0.0787905 | + | 0.749641i | ||||
\(95\) | 1.97345 | − | 0.419469i | 0.202472 | − | 0.0430367i | ||||
\(96\) | 1.57969 | − | 2.73610i | 0.161226 | − | 0.279252i | ||||
\(97\) | 1.57991 | + | 1.14787i | 0.160416 | + | 0.116549i | 0.665097 | − | 0.746757i | \(-0.268390\pi\) |
−0.504682 | + | 0.863306i | \(0.668390\pi\) | |||||||
\(98\) | −1.19183 | − | 5.69102i | −0.120393 | − | 0.574880i | ||||
\(99\) | −7.18209 | + | 5.21810i | −0.721828 | + | 0.524438i | ||||
\(100\) | 4.24431 | + | 4.71378i | 0.424431 | + | 0.471378i | ||||
\(101\) | 0.0671566 | − | 0.0745850i | 0.00668233 | − | 0.00742148i | −0.739794 | − | 0.672833i | \(-0.765077\pi\) |
0.746477 | + | 0.665412i | \(0.231744\pi\) | |||||||
\(102\) | −0.125189 | + | 0.139036i | −0.0123956 | + | 0.0137667i | ||||
\(103\) | 15.0281 | + | 3.19433i | 1.48077 | + | 0.314747i | 0.876254 | − | 0.481849i | \(-0.160035\pi\) |
0.604513 | + | 0.796595i | \(0.293368\pi\) | |||||||
\(104\) | 4.70650 | + | 14.4851i | 0.461510 | + | 1.42038i | ||||
\(105\) | 0.447614 | − | 0.361360i | 0.0436827 | − | 0.0352652i | ||||
\(106\) | 4.14565 | − | 3.01199i | 0.402662 | − | 0.292551i | ||||
\(107\) | −11.5314 | − | 2.45107i | −1.11478 | − | 0.236954i | −0.386539 | − | 0.922273i | \(-0.626329\pi\) |
−0.728243 | + | 0.685319i | \(0.759663\pi\) | |||||||
\(108\) | 0.426854 | − | 4.06124i | 0.0410740 | − | 0.390793i | ||||
\(109\) | −2.84646 | − | 4.93021i | −0.272641 | − | 0.472229i | 0.696896 | − | 0.717172i | \(-0.254564\pi\) |
−0.969537 | + | 0.244944i | \(0.921231\pi\) | |||||||
\(110\) | −0.726449 | − | 0.806803i | −0.0692641 | − | 0.0769256i | ||||
\(111\) | −4.03542 | − | 2.93190i | −0.383025 | − | 0.278284i | ||||
\(112\) | −0.405096 | + | 0.792106i | −0.0382780 | + | 0.0748470i | ||||
\(113\) | 7.59120 | − | 5.51533i | 0.714120 | − | 0.518838i | −0.170380 | − | 0.985378i | \(-0.554500\pi\) |
0.884500 | + | 0.466540i | \(0.154500\pi\) | |||||||
\(114\) | −1.15211 | + | 1.99551i | −0.107905 | + | 0.186897i | ||||
\(115\) | 2.64754 | + | 1.17876i | 0.246885 | + | 0.109920i | ||||
\(116\) | 0.968080 | − | 1.07516i | 0.0898839 | − | 0.0998262i | ||||
\(117\) | 10.0118 | + | 11.1192i | 0.925590 | + | 1.02797i | ||||
\(118\) | 1.54309 | + | 1.12112i | 0.142053 | + | 0.103208i | ||||
\(119\) | 0.687162 | − | 0.845977i | 0.0629920 | − | 0.0775506i | ||||
\(120\) | 0.597821 | 0.0545733 | ||||||||
\(121\) | −0.132141 | − | 0.146757i | −0.0120128 | − | 0.0133416i | ||||
\(122\) | −5.89350 | − | 10.2078i | −0.533572 | − | 0.924175i | ||||
\(123\) | 0.522343 | + | 3.46187i | 0.0470981 | + | 0.312146i | ||||
\(124\) | −3.30446 | + | 5.72349i | −0.296749 | + | 0.513985i | ||||
\(125\) | −1.20942 | + | 3.72222i | −0.108174 | + | 0.332925i | ||||
\(126\) | 0.319556 | − | 5.92738i | 0.0284683 | − | 0.528053i | ||||
\(127\) | 10.2577 | + | 7.45264i | 0.910222 | + | 0.661315i | 0.941071 | − | 0.338209i | \(-0.109821\pi\) |
−0.0308487 | + | 0.999524i | \(0.509821\pi\) | |||||||
\(128\) | −7.42558 | + | 3.30608i | −0.656335 | + | 0.292219i | ||||
\(129\) | 1.59188 | − | 0.338365i | 0.140157 | − | 0.0297914i | ||||
\(130\) | −1.22437 | + | 1.35980i | −0.107384 | + | 0.119262i | ||||
\(131\) | 1.10568 | + | 10.5199i | 0.0966040 | + | 0.919125i | 0.930275 | + | 0.366864i | \(0.119568\pi\) |
−0.833671 | + | 0.552262i | \(0.813765\pi\) | |||||||
\(132\) | −2.35425 | −0.204911 | ||||||||
\(133\) | 6.11188 | − | 11.9509i | 0.529967 | − | 1.03627i | ||||
\(134\) | −8.36410 | + | 6.07687i | −0.722548 | + | 0.524962i | ||||
\(135\) | 1.13243 | − | 0.504188i | 0.0974637 | − | 0.0433936i | ||||
\(136\) | 1.10786 | − | 0.235483i | 0.0949983 | − | 0.0201925i | ||||
\(137\) | −8.53925 | − | 14.7904i | −0.729557 | − | 1.26363i | −0.957071 | − | 0.289855i | \(-0.906393\pi\) |
0.227513 | − | 0.973775i | \(-0.426940\pi\) | |||||||
\(138\) | −3.02374 | + | 1.34626i | −0.257398 | + | 0.114601i | ||||
\(139\) | −0.191729 | − | 0.590081i | −0.0162622 | − | 0.0500500i | 0.942596 | − | 0.333935i | \(-0.108377\pi\) |
−0.958858 | + | 0.283885i | \(0.908377\pi\) | |||||||
\(140\) | −1.37654 | + | 0.0700712i | −0.116339 | + | 0.00592210i | ||||
\(141\) | −1.48655 | + | 4.57513i | −0.125190 | + | 0.385295i | ||||
\(142\) | 6.44458 | + | 1.36984i | 0.540817 | + | 0.114954i | ||||
\(143\) | 12.1827 | − | 13.5303i | 1.01877 | − | 1.13146i | ||||
\(144\) | −0.607754 | + | 0.674979i | −0.0506462 | + | 0.0562483i | ||||
\(145\) | 0.429576 | + | 0.0913091i | 0.0356743 | + | 0.00758281i | ||||
\(146\) | −0.185354 | + | 0.570462i | −0.0153400 | + | 0.0472118i | ||||
\(147\) | 0.0114814 | − | 3.82739i | 0.000946967 | − | 0.315678i | ||||
\(148\) | 3.69308 | + | 11.3661i | 0.303570 | + | 0.934292i | ||||
\(149\) | 8.89561 | − | 3.96058i | 0.728757 | − | 0.324463i | −0.00860357 | − | 0.999963i | \(-0.502739\pi\) |
0.737360 | + | 0.675500i | \(0.236072\pi\) | |||||||
\(150\) | −1.09952 | − | 1.90442i | −0.0897753 | − | 0.155495i | ||||
\(151\) | −3.13154 | + | 0.665629i | −0.254841 | + | 0.0541682i | −0.333561 | − | 0.942729i | \(-0.608250\pi\) |
0.0787195 | + | 0.996897i | \(0.474917\pi\) | |||||||
\(152\) | 12.7432 | − | 5.67365i | 1.03361 | − | 0.460193i | ||||
\(153\) | 0.900168 | − | 0.654010i | 0.0727743 | − | 0.0528736i | ||||
\(154\) | −7.21378 | + | 0.367209i | −0.581303 | + | 0.0295906i | ||||
\(155\) | −2.00616 | −0.161139 | ||||||||
\(156\) | 0.414758 | + | 3.94616i | 0.0332072 | + | 0.315946i | ||||
\(157\) | −9.09821 | + | 10.1046i | −0.726116 | + | 0.806433i | −0.987302 | − | 0.158855i | \(-0.949220\pi\) |
0.261186 | + | 0.965289i | \(0.415886\pi\) | |||||||
\(158\) | −2.08340 | + | 0.442840i | −0.165746 | + | 0.0352305i | ||||
\(159\) | 3.08148 | − | 1.37196i | 0.244377 | − | 0.108804i | ||||
\(160\) | −1.85896 | − | 1.35061i | −0.146964 | − | 0.106775i | ||||
\(161\) | 17.1932 | − | 8.72789i | 1.35501 | − | 0.687854i | ||||
\(162\) | 1.64244 | − | 5.05491i | 0.129042 | − | 0.397151i | ||||
\(163\) | 11.5751 | − | 20.0486i | 0.906628 | − | 1.57033i | 0.0879116 | − | 0.996128i | \(-0.471981\pi\) |
0.818717 | − | 0.574198i | \(-0.194686\pi\) | |||||||
\(164\) | 3.86286 | − | 7.44596i | 0.301639 | − | 0.581432i | ||||
\(165\) | −0.357320 | − | 0.618897i | −0.0278174 | − | 0.0481811i | ||||
\(166\) | −7.26359 | − | 8.06704i | −0.563764 | − | 0.626124i | ||||
\(167\) | 12.1504 | 0.940228 | 0.470114 | − | 0.882606i | \(-0.344213\pi\) | ||||
0.470114 | + | 0.882606i | \(0.344213\pi\) | |||||||
\(168\) | 2.50771 | − | 3.08728i | 0.193474 | − | 0.238189i | ||||
\(169\) | −14.3083 | − | 10.3956i | −1.10064 | − | 0.799658i | ||||
\(170\) | 0.0910495 | + | 0.101121i | 0.00698318 | + | 0.00775560i | ||||
\(171\) | 9.16948 | − | 10.1837i | 0.701208 | − | 0.778770i | ||||
\(172\) | −3.56216 | − | 1.58597i | −0.271612 | − | 0.120929i | ||||
\(173\) | −7.07570 | + | 12.2555i | −0.537955 | + | 0.931766i | 0.461059 | + | 0.887370i | \(0.347470\pi\) |
−0.999014 | + | 0.0443964i | \(0.985864\pi\) | |||||||
\(174\) | −0.405784 | + | 0.294819i | −0.0307624 | + | 0.0223502i | ||||
\(175\) | 6.96090 | + | 10.7541i | 0.526195 | + | 0.812936i | ||||
\(176\) | 0.894142 | + | 0.649632i | 0.0673985 | + | 0.0489678i | ||||
\(177\) | 0.840115 | + | 0.933042i | 0.0631469 | + | 0.0701317i | ||||
\(178\) | 3.60608 | + | 6.24592i | 0.270287 | + | 0.468152i | ||||
\(179\) | −1.20235 | + | 11.4396i | −0.0898677 | + | 0.855034i | 0.853010 | + | 0.521895i | \(0.174775\pi\) |
−0.942878 | + | 0.333139i | \(0.891892\pi\) | |||||||
\(180\) | −1.37638 | − | 0.292558i | −0.102589 | − | 0.0218060i | ||||
\(181\) | −14.2209 | + | 10.3321i | −1.05703 | + | 0.767978i | −0.973537 | − | 0.228531i | \(-0.926608\pi\) |
−0.0834938 | + | 0.996508i | \(0.526608\pi\) | |||||||
\(182\) | 1.88639 | + | 12.0269i | 0.139829 | + | 0.891495i | ||||
\(183\) | −2.39762 | − | 7.37910i | −0.177237 | − | 0.545479i | ||||
\(184\) | 19.5995 | + | 4.16600i | 1.44489 | + | 0.307122i | ||||
\(185\) | −2.42746 | + | 2.69597i | −0.178471 | + | 0.198212i | ||||
\(186\) | 1.53313 | − | 1.70271i | 0.112414 | − | 0.124849i | ||||
\(187\) | −0.905959 | − | 1.00617i | −0.0662503 | − | 0.0735784i | ||||
\(188\) | 9.32462 | − | 6.77473i | 0.680067 | − | 0.494098i | ||||
\(189\) | 2.14650 | − | 7.96304i | 0.156135 | − | 0.579226i | ||||
\(190\) | 1.35579 | + | 0.985038i | 0.0983593 | + | 0.0714622i | ||||
\(191\) | 5.26821 | − | 9.12481i | 0.381194 | − | 0.660248i | −0.610039 | − | 0.792371i | \(-0.708846\pi\) |
0.991233 | + | 0.132124i | \(0.0421796\pi\) | |||||||
\(192\) | 2.20727 | − | 0.469169i | 0.159296 | − | 0.0338594i | ||||
\(193\) | −1.74008 | + | 16.5558i | −0.125254 | + | 1.19171i | 0.733632 | + | 0.679546i | \(0.237823\pi\) |
−0.858886 | + | 0.512166i | \(0.828843\pi\) | |||||||
\(194\) | 0.169560 | + | 1.61325i | 0.0121737 | + | 0.115825i | ||||
\(195\) | −0.974435 | + | 0.707969i | −0.0697808 | + | 0.0506987i | ||||
\(196\) | −5.41237 | + | 7.40269i | −0.386598 | + | 0.528764i | ||||
\(197\) | −4.92703 | + | 3.57970i | −0.351036 | + | 0.255043i | −0.749304 | − | 0.662227i | \(-0.769612\pi\) |
0.398267 | + | 0.917269i | \(0.369612\pi\) | |||||||
\(198\) | −7.21292 | − | 1.53315i | −0.512600 | − | 0.108956i | ||||
\(199\) | −17.4813 | + | 3.71577i | −1.23922 | + | 0.263404i | −0.780488 | − | 0.625171i | \(-0.785029\pi\) |
−0.458731 | + | 0.888575i | \(0.651696\pi\) | |||||||
\(200\) | −1.39153 | + | 13.2395i | −0.0983961 | + | 0.936176i | ||||
\(201\) | −6.21707 | + | 2.76802i | −0.438518 | + | 0.195241i | ||||
\(202\) | 0.0833664 | 0.00586564 | ||||||||
\(203\) | 2.27350 | − | 1.83541i | 0.159568 | − | 0.128820i | ||||
\(204\) | 0.295070 | 0.0206591 | ||||||||
\(205\) | 2.54372 | − | 0.114634i | 0.177661 | − | 0.00800642i | ||||
\(206\) | 6.38093 | + | 11.0521i | 0.444581 | + | 0.770036i | ||||
\(207\) | 19.2544 | − | 4.09265i | 1.33827 | − | 0.284459i | ||||
\(208\) | 0.931378 | − | 1.61319i | 0.0645795 | − | 0.111855i | ||||
\(209\) | −13.4904 | − | 9.80131i | −0.933147 | − | 0.677971i | ||||
\(210\) | 0.471850 | + | 0.0754593i | 0.0325607 | + | 0.00520719i | ||||
\(211\) | 2.90006 | − | 8.92546i | 0.199648 | − | 0.614454i | −0.800243 | − | 0.599676i | \(-0.795296\pi\) |
0.999891 | − | 0.0147775i | \(-0.00470398\pi\) | |||||||
\(212\) | −7.90515 | − | 1.68029i | −0.542928 | − | 0.115403i | ||||
\(213\) | 3.96200 | + | 1.76400i | 0.271472 | + | 0.120867i | ||||
\(214\) | −4.89621 | − | 8.48049i | −0.334698 | − | 0.579715i | ||||
\(215\) | −0.123724 | − | 1.17715i | −0.00843788 | − | 0.0802810i | ||||
\(216\) | 6.93369 | − | 5.03762i | 0.471778 | − | 0.342767i | ||||
\(217\) | −8.41533 | + | 10.3603i | −0.571270 | + | 0.703300i | ||||
\(218\) | 1.46127 | − | 4.49733i | 0.0989697 | − | 0.304597i | ||||
\(219\) | −0.197417 | + | 0.341936i | −0.0133402 | + | 0.0231059i | ||||
\(220\) | −0.178978 | + | 1.70286i | −0.0120667 | + | 0.114807i | ||||
\(221\) | −1.52692 | + | 1.69582i | −0.102712 | + | 0.114073i | ||||
\(222\) | −0.433090 | − | 4.12058i | −0.0290671 | − | 0.276555i | ||||
\(223\) | 7.49061 | − | 23.0537i | 0.501608 | − | 1.54379i | −0.304790 | − | 0.952419i | \(-0.598586\pi\) |
0.806399 | − | 0.591372i | \(-0.201414\pi\) | |||||||
\(224\) | −14.7727 | + | 3.93460i | −0.987045 | + | 0.262892i | ||||
\(225\) | 4.04134 | + | 12.4380i | 0.269423 | + | 0.829198i | ||||
\(226\) | 7.62377 | + | 1.62048i | 0.507126 | + | 0.107793i | ||||
\(227\) | 3.82453 | − | 4.24758i | 0.253843 | − | 0.281922i | −0.602732 | − | 0.797944i | \(-0.705921\pi\) |
0.856575 | + | 0.516022i | \(0.172588\pi\) | |||||||
\(228\) | 3.55466 | − | 0.755566i | 0.235413 | − | 0.0500386i | ||||
\(229\) | 0.323685 | + | 3.07966i | 0.0213897 | + | 0.203510i | 0.999998 | − | 0.00222506i | \(-0.000708258\pi\) |
−0.978608 | + | 0.205735i | \(0.934042\pi\) | |||||||
\(230\) | 0.743889 | + | 2.28946i | 0.0490506 | + | 0.150962i | ||||
\(231\) | −4.69499 | − | 0.750834i | −0.308908 | − | 0.0494012i | ||||
\(232\) | 3.03643 | 0.199351 | ||||||||
\(233\) | −15.3712 | − | 17.0714i | −1.00700 | − | 1.11839i | −0.992956 | − | 0.118485i | \(-0.962196\pi\) |
−0.0140441 | − | 0.999901i | \(-0.504471\pi\) | |||||||
\(234\) | −1.29912 | + | 12.3603i | −0.0849260 | + | 0.808017i | ||||
\(235\) | 3.19623 | + | 1.42305i | 0.208499 | + | 0.0928298i | ||||
\(236\) | −0.314441 | − | 2.99170i | −0.0204683 | − | 0.194743i | ||||
\(237\) | −1.40205 | −0.0910726 | ||||||||
\(238\) | 0.904139 | − | 0.0460242i | 0.0586066 | − | 0.00298331i | ||||
\(239\) | 0.577864 | + | 1.77848i | 0.0373789 | + | 0.115040i | 0.968005 | − | 0.250931i | \(-0.0807367\pi\) |
−0.930626 | + | 0.365972i | \(0.880737\pi\) | |||||||
\(240\) | −0.0489240 | − | 0.0543357i | −0.00315803 | − | 0.00350735i | ||||
\(241\) | 0.631531 | − | 6.00862i | 0.0406805 | − | 0.387049i | −0.955171 | − | 0.296055i | \(-0.904329\pi\) |
0.995851 | − | 0.0909942i | \(-0.0290045\pi\) | |||||||
\(242\) | 0.0171464 | − | 0.163137i | 0.00110221 | − | 0.0104869i | ||||
\(243\) | 6.42509 | − | 11.1286i | 0.412170 | − | 0.713899i | ||||
\(244\) | −5.74455 | + | 17.6799i | −0.367757 | + | 1.13184i | ||||
\(245\) | −2.76753 | − | 0.299275i | −0.176811 | − | 0.0191200i | ||||
\(246\) | −1.84664 | + | 2.24657i | −0.117738 | + | 0.143236i | ||||
\(247\) | −14.0522 | + | 24.3391i | −0.894118 | + | 1.54866i | ||||
\(248\) | −13.5674 | + | 2.88385i | −0.861532 | + | 0.183124i | ||||
\(249\) | −3.57277 | − | 6.18821i | −0.226415 | − | 0.392162i | ||||
\(250\) | −2.96988 | + | 1.32228i | −0.187832 | + | 0.0836281i | ||||
\(251\) | −18.2939 | − | 13.2913i | −1.15470 | − | 0.838941i | −0.165604 | − | 0.986192i | \(-0.552958\pi\) |
−0.989099 | + | 0.147251i | \(0.952958\pi\) | |||||||
\(252\) | −7.28438 | + | 5.88071i | −0.458873 | + | 0.370450i | ||||
\(253\) | −7.40183 | − | 22.7805i | −0.465349 | − | 1.43220i | ||||
\(254\) | 1.10088 | + | 10.4742i | 0.0690753 | + | 0.657207i | ||||
\(255\) | 0.0447848 | + | 0.0775695i | 0.00280453 | + | 0.00485759i | ||||
\(256\) | −13.7085 | − | 6.10344i | −0.856784 | − | 0.381465i | ||||
\(257\) | −2.74494 | − | 26.1163i | −0.171224 | − | 1.62909i | −0.656216 | − | 0.754573i | \(-0.727844\pi\) |
0.484992 | − | 0.874519i | \(-0.338823\pi\) | |||||||
\(258\) | 1.09365 | + | 0.794581i | 0.0680875 | + | 0.0494685i | ||||
\(259\) | 3.74001 | + | 23.8449i | 0.232393 | + | 1.48165i | ||||
\(260\) | 2.88584 | 0.178972 | ||||||||
\(261\) | 2.72507 | − | 1.21328i | 0.168678 | − | 0.0751001i | ||||
\(262\) | −5.87922 | + | 6.52954i | −0.363220 | + | 0.403396i | ||||
\(263\) | 23.5436 | + | 10.4823i | 1.45176 | + | 0.646365i | 0.972837 | − | 0.231492i | \(-0.0743607\pi\) |
0.478923 | + | 0.877857i | \(0.341027\pi\) | |||||||
\(264\) | −3.30618 | − | 3.67188i | −0.203481 | − | 0.225989i | ||||
\(265\) | −0.758094 | − | 2.33317i | −0.0465693 | − | 0.143326i | ||||
\(266\) | 10.7741 | − | 2.86961i | 0.660605 | − | 0.175947i | ||||
\(267\) | 1.46704 | + | 4.51509i | 0.0897814 | + | 0.276319i | ||||
\(268\) | 15.9491 | + | 3.39009i | 0.974246 | + | 0.207082i | ||||
\(269\) | −15.2968 | + | 3.25144i | −0.932663 | + | 0.198244i | −0.649094 | − | 0.760708i | \(-0.724852\pi\) |
−0.283569 | + | 0.958952i | \(0.591518\pi\) | |||||||
\(270\) | 0.940638 | + | 0.418799i | 0.0572454 | + | 0.0254873i | ||||
\(271\) | −25.4263 | − | 5.40452i | −1.54454 | − | 0.328301i | −0.644668 | − | 0.764463i | \(-0.723004\pi\) |
−0.899868 | + | 0.436161i | \(0.856338\pi\) | |||||||
\(272\) | −0.112067 | − | 0.0814216i | −0.00679508 | − | 0.00493691i | ||||
\(273\) | −0.431400 | + | 8.00195i | −0.0261095 | + | 0.484300i | ||||
\(274\) | 4.38374 | − | 13.4918i | 0.264832 | − | 0.815068i | ||||
\(275\) | 14.5380 | − | 6.47274i | 0.876675 | − | 0.390321i | ||||
\(276\) | 4.76886 | + | 2.12324i | 0.287052 | + | 0.127804i | ||||
\(277\) | 22.1123 | + | 9.84501i | 1.32860 | + | 0.591529i | 0.943508 | − | 0.331350i | \(-0.107504\pi\) |
0.385089 | + | 0.922880i | \(0.374171\pi\) | |||||||
\(278\) | 0.257685 | − | 0.446323i | 0.0154549 | − | 0.0267687i | ||||
\(279\) | −11.0239 | + | 8.00934i | −0.659984 | + | 0.479507i | ||||
\(280\) | −2.04242 | − | 2.04856i | −0.122058 | − | 0.122425i | ||||
\(281\) | −5.43173 | + | 16.7172i | −0.324030 | + | 0.997262i | 0.647846 | + | 0.761771i | \(0.275670\pi\) |
−0.971877 | + | 0.235491i | \(0.924330\pi\) | |||||||
\(282\) | −3.65040 | + | 1.62526i | −0.217378 | + | 0.0967829i | ||||
\(283\) | 2.18049 | − | 20.7460i | 0.129617 | − | 1.23322i | −0.715491 | − | 0.698622i | \(-0.753797\pi\) |
0.845107 | − | 0.534597i | \(-0.179537\pi\) | |||||||
\(284\) | −5.19554 | − | 8.99894i | −0.308299 | − | 0.533989i | ||||
\(285\) | 0.738141 | + | 0.819789i | 0.0437237 | + | 0.0485601i | ||||
\(286\) | 15.1233 | 0.894257 | ||||||||
\(287\) | 10.0783 | − | 13.6172i | 0.594902 | − | 0.803799i | ||||
\(288\) | −15.6072 | −0.919663 | ||||||||
\(289\) | −11.2617 | − | 12.5074i | −0.662451 | − | 0.735727i | ||||
\(290\) | 0.182397 | + | 0.315921i | 0.0107107 | + | 0.0185515i | ||||
\(291\) | −0.111614 | + | 1.06193i | −0.00654290 | + | 0.0622515i | ||||
\(292\) | 0.864213 | − | 0.384772i | 0.0505742 | − | 0.0225171i | ||||
\(293\) | −4.50952 | + | 13.8789i | −0.263449 | + | 0.810812i | 0.728598 | + | 0.684942i | \(0.240172\pi\) |
−0.992047 | + | 0.125870i | \(0.959828\pi\) | |||||||
\(294\) | 2.36898 | − | 2.12020i | 0.138162 | − | 0.123653i | ||||
\(295\) | 0.738749 | − | 0.536732i | 0.0430116 | − | 0.0312498i | ||||
\(296\) | −12.5412 | + | 21.7220i | −0.728943 | + | 1.26257i | ||||
\(297\) | −9.35952 | − | 4.16713i | −0.543095 | − | 0.241801i | ||||
\(298\) | 7.38905 | + | 3.28982i | 0.428036 | + | 0.190574i | ||||
\(299\) | −36.8803 | + | 16.4202i | −2.13284 | + | 0.949603i | ||||
\(300\) | −1.07173 | + | 3.29844i | −0.0618763 | + | 0.190436i | ||||
\(301\) | −6.59806 | − | 4.29891i | −0.380306 | − | 0.247785i | ||||
\(302\) | −2.15142 | − | 1.56309i | −0.123800 | − | 0.0899460i | ||||
\(303\) | 0.0536771 | + | 0.0114094i | 0.00308367 | + | 0.000655454i | ||||
\(304\) | −1.55854 | − | 0.693909i | −0.0893887 | − | 0.0397984i | ||||
\(305\) | −5.51967 | + | 1.17324i | −0.316055 | + | 0.0671796i | ||||
\(306\) | 0.904031 | + | 0.192158i | 0.0516800 | + | 0.0109849i | ||||
\(307\) | 0.172863 | + | 0.532016i | 0.00986579 | + | 0.0303638i | 0.955868 | − | 0.293796i | \(-0.0949185\pi\) |
−0.946002 | + | 0.324160i | \(0.894919\pi\) | |||||||
\(308\) | 8.04318 | + | 8.06734i | 0.458302 | + | 0.459679i | ||||
\(309\) | 2.59591 | + | 7.98940i | 0.147676 | + | 0.454501i | ||||
\(310\) | −1.11504 | − | 1.23837i | −0.0633299 | − | 0.0703350i | ||||
\(311\) | 3.12254 | + | 1.39024i | 0.177063 | + | 0.0788335i | 0.493354 | − | 0.869829i | \(-0.335771\pi\) |
−0.316291 | + | 0.948662i | \(0.602437\pi\) | |||||||
\(312\) | −5.57229 | + | 6.18866i | −0.315469 | + | 0.350364i | ||||
\(313\) | −8.59493 | + | 3.82671i | −0.485814 | + | 0.216298i | −0.635002 | − | 0.772510i | \(-0.719001\pi\) |
0.149188 | + | 0.988809i | \(0.452334\pi\) | |||||||
\(314\) | −11.2943 | −0.637372 | ||||||||
\(315\) | −2.65155 | − | 1.02240i | −0.149398 | − | 0.0576057i | ||||
\(316\) | 2.71767 | + | 1.97450i | 0.152881 | + | 0.111074i | ||||
\(317\) | −2.33039 | − | 22.1721i | −0.130888 | − | 1.24531i | −0.840927 | − | 0.541149i | \(-0.817989\pi\) |
0.710039 | − | 0.704162i | \(-0.248677\pi\) | |||||||
\(318\) | 2.55960 | + | 1.13961i | 0.143535 | + | 0.0639061i | ||||
\(319\) | −1.81489 | − | 3.14347i | −0.101614 | − | 0.176001i | ||||
\(320\) | −0.171552 | − | 1.63221i | −0.00959006 | − | 0.0912433i | ||||
\(321\) | −1.99190 | − | 6.13043i | −0.111177 | − | 0.342167i | ||||
\(322\) | 14.9437 | + | 5.76207i | 0.832779 | + | 0.321108i | ||||
\(323\) | 1.69081 | + | 1.22845i | 0.0940794 | + | 0.0683527i | ||||
\(324\) | −7.65786 | + | 3.40950i | −0.425437 | + | 0.189417i | ||||
\(325\) | −13.4107 | − | 23.2281i | −0.743893 | − | 1.28846i | ||||
\(326\) | 18.8092 | − | 3.99802i | 1.04175 | − | 0.221430i | ||||
\(327\) | 1.55637 | − | 2.69571i | 0.0860673 | − | 0.149073i | ||||
\(328\) | 17.0381 | − | 4.43185i | 0.940772 | − | 0.244708i | ||||
\(329\) | 20.7564 | − | 10.5367i | 1.14433 | − | 0.580907i | ||||
\(330\) | 0.183435 | − | 0.564556i | 0.0100978 | − | 0.0310778i | ||||
\(331\) | 1.78122 | − | 3.08517i | 0.0979050 | − | 0.169576i | −0.812912 | − | 0.582386i | \(-0.802119\pi\) |
0.910817 | + | 0.412810i | \(0.135453\pi\) | |||||||
\(332\) | −1.78956 | + | 17.0265i | −0.0982147 | + | 0.934451i | ||||
\(333\) | −2.57566 | + | 24.5058i | −0.141145 | + | 1.34291i | ||||
\(334\) | 6.75329 | + | 7.50029i | 0.369524 | + | 0.410398i | ||||
\(335\) | 1.52950 | + | 4.70731i | 0.0835654 | + | 0.257188i | ||||
\(336\) | −0.485825 | + | 0.0247304i | −0.0265039 | + | 0.00134915i | ||||
\(337\) | −13.3997 | −0.729926 | −0.364963 | − | 0.931022i | \(-0.618918\pi\) | ||||
−0.364963 | + | 0.931022i | \(0.618918\pi\) | |||||||
\(338\) | −1.53560 | − | 14.6102i | −0.0835254 | − | 0.794691i | ||||
\(339\) | 4.68694 | + | 2.08676i | 0.254560 | + | 0.113337i | ||||
\(340\) | 0.0224322 | − | 0.213428i | 0.00121656 | − | 0.0115748i | ||||
\(341\) | 11.0948 | + | 12.3221i | 0.600819 | + | 0.667277i | ||||
\(342\) | 11.3827 | 0.615508 | ||||||||
\(343\) | −13.1546 | + | 13.0367i | −0.710281 | + | 0.703918i | ||||
\(344\) | −2.52888 | − | 7.78308i | −0.136348 | − | 0.419636i | ||||
\(345\) | 0.165636 | + | 1.57592i | 0.00891753 | + | 0.0848447i | ||||
\(346\) | −11.4979 | + | 2.44394i | −0.618128 | + | 0.131387i | ||||
\(347\) | 10.8036 | − | 11.9986i | 0.579966 | − | 0.644117i | −0.379750 | − | 0.925089i | \(-0.623990\pi\) |
0.959716 | + | 0.280972i | \(0.0906568\pi\) | |||||||
\(348\) | 0.773769 | + | 0.164470i | 0.0414784 | + | 0.00881650i | ||||
\(349\) | 5.83378 | + | 17.9545i | 0.312275 | + | 0.961084i | 0.976862 | + | 0.213873i | \(0.0686078\pi\) |
−0.664586 | + | 0.747211i | \(0.731392\pi\) | |||||||
\(350\) | −2.76946 | + | 10.2741i | −0.148034 | + | 0.549173i | ||||
\(351\) | −5.33597 | + | 16.4224i | −0.284813 | + | 0.876564i | ||||
\(352\) | 1.98514 | + | 18.8873i | 0.105808 | + | 1.00670i | ||||
\(353\) | 0.201564 | − | 0.223859i | 0.0107281 | − | 0.0119148i | −0.737757 | − | 0.675067i | \(-0.764115\pi\) |
0.748485 | + | 0.663152i | \(0.230782\pi\) | |||||||
\(354\) | −0.109012 | + | 1.03718i | −0.00579394 | + | 0.0551256i | ||||
\(355\) | 1.57712 | − | 2.73166i | 0.0837050 | − | 0.144981i | ||||
\(356\) | 3.51494 | − | 10.8179i | 0.186292 | − | 0.573347i | ||||
\(357\) | 0.588447 | + | 0.0941058i | 0.0311439 | + | 0.00498061i | ||||
\(358\) | −7.72976 | + | 5.61600i | −0.408531 | + | 0.296815i | ||||
\(359\) | 0.787223 | + | 7.48992i | 0.0415480 | + | 0.395303i | 0.995457 | + | 0.0952082i | \(0.0303517\pi\) |
−0.953909 | + | 0.300095i | \(0.902982\pi\) | |||||||
\(360\) | −1.47661 | − | 2.55756i | −0.0778241 | − | 0.134795i | ||||
\(361\) | 6.15717 | + | 2.74135i | 0.324061 | + | 0.144281i | ||||
\(362\) | −14.2819 | − | 3.03572i | −0.750641 | − | 0.159554i | ||||
\(363\) | 0.0333669 | − | 0.102693i | 0.00175131 | − | 0.00538996i | ||||
\(364\) | 12.1054 | − | 14.9031i | 0.634493 | − | 0.781135i | ||||
\(365\) | 0.232318 | + | 0.168789i | 0.0121601 | + | 0.00883482i | ||||
\(366\) | 3.22241 | − | 5.58137i | 0.168438 | − | 0.291743i | ||||
\(367\) | −5.42856 | + | 1.15388i | −0.283369 | + | 0.0602319i | −0.347403 | − | 0.937716i | \(-0.612937\pi\) |
0.0640347 | + | 0.997948i | \(0.479603\pi\) | |||||||
\(368\) | −1.22532 | − | 2.12232i | −0.0638744 | − | 0.110634i | ||||
\(369\) | 13.5202 | − | 10.7854i | 0.703832 | − | 0.561466i | ||||
\(370\) | −3.01339 | −0.156659 | ||||||||
\(371\) | −15.2290 | − | 5.87210i | −0.790652 | − | 0.304864i | ||||
\(372\) | −3.61358 | −0.187355 | ||||||||
\(373\) | 7.44237 | − | 3.31356i | 0.385352 | − | 0.171570i | −0.204912 | − | 0.978780i | \(-0.565691\pi\) |
0.590263 | + | 0.807211i | \(0.299024\pi\) | |||||||
\(374\) | 0.117556 | − | 1.11847i | 0.00607868 | − | 0.0578348i | ||||
\(375\) | −2.09318 | + | 0.444920i | −0.108091 | + | 0.0229755i | ||||
\(376\) | 23.6614 | + | 5.02938i | 1.22024 | + | 0.259371i | ||||
\(377\) | −4.94931 | + | 3.59588i | −0.254902 | + | 0.185197i | ||||
\(378\) | 6.10851 | − | 3.10091i | 0.314188 | − | 0.159494i | ||||
\(379\) | 10.4477 | − | 7.59068i | 0.536661 | − | 0.389907i | −0.286182 | − | 0.958175i | \(-0.592386\pi\) |
0.822843 | + | 0.568268i | \(0.192386\pi\) | |||||||
\(380\) | −0.276274 | − | 2.62857i | −0.0141725 | − | 0.134843i | ||||
\(381\) | −0.724658 | + | 6.89466i | −0.0371254 | + | 0.353224i | ||||
\(382\) | 8.56072 | − | 1.81964i | 0.438005 | − | 0.0931008i | ||||
\(383\) | 5.70089 | − | 9.87423i | 0.291302 | − | 0.504550i | −0.682816 | − | 0.730590i | \(-0.739245\pi\) |
0.974118 | + | 0.226041i | \(0.0725783\pi\) | |||||||
\(384\) | −3.59555 | − | 2.61232i | −0.183485 | − | 0.133309i | ||||
\(385\) | −0.900015 | + | 3.33886i | −0.0458690 | + | 0.170164i | ||||
\(386\) | −11.1868 | + | 8.12770i | −0.569394 | + | 0.413689i | ||||
\(387\) | −5.37949 | − | 5.97453i | −0.273455 | − | 0.303703i | ||||
\(388\) | 1.71187 | − | 1.90122i | 0.0869068 | − | 0.0965198i | ||||
\(389\) | 18.6722 | − | 20.7376i | 0.946718 | − | 1.05144i | −0.0518882 | − | 0.998653i | \(-0.516524\pi\) |
0.998606 | − | 0.0527837i | \(-0.0168094\pi\) | |||||||
\(390\) | −0.978617 | − | 0.208011i | −0.0495542 | − | 0.0105331i | ||||
\(391\) | 0.927709 | + | 2.85520i | 0.0469163 | + | 0.144393i | ||||
\(392\) | −19.1467 | + | 1.95434i | −0.967053 | + | 0.0987093i | ||||
\(393\) | −4.67908 | + | 3.39955i | −0.236028 | + | 0.171485i | ||||
\(394\) | −4.94817 | − | 1.05177i | −0.249285 | − | 0.0529872i | ||||
\(395\) | −0.106588 | + | 1.01412i | −0.00536302 | + | 0.0510257i | ||||
\(396\) | 5.81496 | + | 10.0718i | 0.292213 | + | 0.506127i | ||||
\(397\) | −8.80799 | − | 9.78226i | −0.442060 | − | 0.490958i | 0.480400 | − | 0.877049i | \(-0.340491\pi\) |
−0.922460 | + | 0.386092i | \(0.873825\pi\) | |||||||
\(398\) | −12.0099 | − | 8.72574i | −0.602004 | − | 0.437382i | ||||
\(399\) | 7.32988 | − | 0.373120i | 0.366953 | − | 0.0186793i | ||||
\(400\) | 1.31721 | − | 0.957012i | 0.0658607 | − | 0.0478506i | ||||
\(401\) | −2.31200 | + | 4.00450i | −0.115456 | + | 0.199975i | −0.917962 | − | 0.396669i | \(-0.870166\pi\) |
0.802506 | + | 0.596644i | \(0.203499\pi\) | |||||||
\(402\) | −5.16415 | − | 2.29923i | −0.257564 | − | 0.114675i | ||||
\(403\) | 18.6994 | − | 20.7678i | 0.931484 | − | 1.03452i | ||||
\(404\) | −0.0879776 | − | 0.0977090i | −0.00437705 | − | 0.00486121i | ||||
\(405\) | −2.05859 | − | 1.49565i | −0.102292 | − | 0.0743196i | ||||
\(406\) | 2.39660 | + | 0.383269i | 0.118941 | + | 0.0190213i | ||||
\(407\) | 29.9838 | 1.48624 | ||||||||
\(408\) | 0.414380 | + | 0.460216i | 0.0205149 | + | 0.0227841i | ||||
\(409\) | 1.84689 | + | 3.19891i | 0.0913229 | + | 0.158176i | 0.908068 | − | 0.418823i | \(-0.137557\pi\) |
−0.816745 | + | 0.576999i | \(0.804224\pi\) | |||||||
\(410\) | 1.48458 | + | 1.50649i | 0.0733182 | + | 0.0744002i | ||||
\(411\) | 4.66903 | − | 8.08700i | 0.230306 | − | 0.398902i | ||||
\(412\) | 6.21966 | − | 19.1421i | 0.306421 | − | 0.943066i | ||||
\(413\) | 0.327058 | − | 6.06652i | 0.0160934 | − | 0.298514i | ||||
\(414\) | 13.2281 | + | 9.61075i | 0.650123 | + | 0.472342i | ||||
\(415\) | −4.74762 | + | 2.11378i | −0.233052 | + | 0.103761i | ||||
\(416\) | 31.3089 | − | 6.65492i | 1.53505 | − | 0.326284i | ||||
\(417\) | 0.226999 | − | 0.252108i | 0.0111162 | − | 0.0123458i | ||||
\(418\) | −1.44782 | − | 13.7750i | −0.0708150 | − | 0.673759i | ||||
\(419\) | 16.3278 | 0.797665 | 0.398833 | − | 0.917024i | \(-0.369415\pi\) | ||||
0.398833 | + | 0.917024i | \(0.369415\pi\) | |||||||
\(420\) | −0.409507 | − | 0.632662i | −0.0199819 | − | 0.0308707i | ||||
\(421\) | 5.88843 | − | 4.27820i | 0.286985 | − | 0.208506i | −0.434974 | − | 0.900443i | \(-0.643242\pi\) |
0.721958 | + | 0.691937i | \(0.243242\pi\) | |||||||
\(422\) | 7.12143 | − | 3.17067i | 0.346666 | − | 0.154346i | ||||
\(423\) | 23.2448 | − | 4.94083i | 1.13020 | − | 0.240231i | ||||
\(424\) | −8.48083 | − | 14.6892i | −0.411865 | − | 0.713372i | ||||
\(425\) | −1.82212 | + | 0.811261i | −0.0883859 | + | 0.0393520i | ||||
\(426\) | 1.11322 | + | 3.42613i | 0.0539355 | + | 0.165997i | ||||
\(427\) | −17.0947 | + | 33.4262i | −0.827272 | + | 1.61761i | ||||
\(428\) | −4.77247 | + | 14.6881i | −0.230686 | + | 0.709978i | ||||
\(429\) | 9.73742 | + | 2.06975i | 0.470127 | + | 0.0999286i | ||||
\(430\) | 0.657873 | − | 0.730642i | 0.0317254 | − | 0.0352347i | ||||
\(431\) | 11.0122 | − | 12.2303i | 0.530438 | − | 0.589111i | −0.417058 | − | 0.908880i | \(-0.636939\pi\) |
0.947495 | + | 0.319769i | \(0.103605\pi\) | |||||||
\(432\) | −1.02530 | − | 0.217935i | −0.0493298 | − | 0.0104854i | ||||
\(433\) | 2.74487 | − | 8.44785i | 0.131910 | − | 0.405978i | −0.863186 | − | 0.504885i | \(-0.831535\pi\) |
0.995097 | + | 0.0989076i | \(0.0315348\pi\) | |||||||
\(434\) | −11.0725 | + | 0.563635i | −0.531499 | + | 0.0270554i | ||||
\(435\) | 0.0742035 | + | 0.228375i | 0.00355779 | + | 0.0109497i | ||||
\(436\) | −6.81316 | + | 3.03341i | −0.326291 | + | 0.145274i | ||||
\(437\) | 18.4870 | + | 32.0205i | 0.884355 | + | 1.53175i | ||||
\(438\) | −0.320798 | + | 0.0681877i | −0.0153283 | + | 0.00325814i | ||||
\(439\) | 7.58678 | − | 3.37785i | 0.362097 | − | 0.161216i | −0.217621 | − | 0.976033i | \(-0.569830\pi\) |
0.579718 | + | 0.814817i | \(0.303163\pi\) | |||||||
\(440\) | −2.90726 | + | 2.11225i | −0.138598 | + | 0.100698i | ||||
\(441\) | −16.4025 | + | 9.40448i | −0.781070 | + | 0.447832i | ||||
\(442\) | −1.89548 | −0.0901586 | ||||||||
\(443\) | −2.62568 | − | 24.9817i | −0.124750 | − | 1.18691i | −0.860424 | − | 0.509579i | \(-0.829801\pi\) |
0.735674 | − | 0.677335i | \(-0.236865\pi\) | |||||||
\(444\) | −4.37245 | + | 4.85610i | −0.207507 | + | 0.230460i | ||||
\(445\) | 3.37735 | − | 0.717877i | 0.160102 | − | 0.0340306i | ||||
\(446\) | 18.3941 | − | 8.18957i | 0.870985 | − | 0.387787i | ||||
\(447\) | 4.30735 | + | 3.12947i | 0.203731 | + | 0.148019i | ||||
\(448\) | −9.14872 | − | 5.96077i | −0.432236 | − | 0.281620i | ||||
\(449\) | −9.73887 | + | 29.9732i | −0.459606 | + | 1.41452i | 0.406036 | + | 0.913857i | \(0.366911\pi\) |
−0.865642 | + | 0.500664i | \(0.833089\pi\) | |||||||
\(450\) | −5.43158 | + | 9.40778i | −0.256047 | + | 0.443487i | ||||
\(451\) | −14.7719 | − | 14.9899i | −0.695579 | − | 0.705845i | ||||
\(452\) | −6.14619 | − | 10.6455i | −0.289092 | − | 0.500723i | ||||
\(453\) | −1.17131 | − | 1.30087i | −0.0550329 | − | 0.0611202i | ||||
\(454\) | 4.74767 | 0.222819 | ||||||||
\(455\) | 5.75511 | + | 0.920371i | 0.269804 | + | 0.0431476i | ||||
\(456\) | 6.17040 | + | 4.48306i | 0.288956 | + | 0.209939i | ||||
\(457\) | 7.06219 | + | 7.84336i | 0.330355 | + | 0.366897i | 0.885324 | − | 0.464974i | \(-0.153936\pi\) |
−0.554969 | + | 0.831871i | \(0.687270\pi\) | |||||||
\(458\) | −1.72113 | + | 1.91150i | −0.0804229 | + | 0.0893187i | ||||
\(459\) | 1.17308 | + | 0.522287i | 0.0547545 | + | 0.0243783i | ||||
\(460\) | 1.89831 | − | 3.28796i | 0.0885090 | − | 0.153302i | ||||
\(461\) | 27.8500 | − | 20.2342i | 1.29710 | − | 0.942401i | 0.297181 | − | 0.954821i | \(-0.403954\pi\) |
0.999923 | + | 0.0124203i | \(0.00395361\pi\) | |||||||
\(462\) | −2.14603 | − | 3.31547i | −0.0998423 | − | 0.154250i | ||||
\(463\) | 1.42737 | + | 1.03704i | 0.0663355 | + | 0.0481955i | 0.620459 | − | 0.784239i | \(-0.286946\pi\) |
−0.554123 | + | 0.832435i | \(0.686946\pi\) | |||||||
\(464\) | −0.248493 | − | 0.275979i | −0.0115360 | − | 0.0128120i | ||||
\(465\) | −0.548457 | − | 0.949955i | −0.0254341 | − | 0.0440531i | ||||
\(466\) | 1.99455 | − | 18.9768i | 0.0923956 | − | 0.879085i | ||||
\(467\) | 11.5249 | + | 2.44970i | 0.533309 | + | 0.113358i | 0.466692 | − | 0.884420i | \(-0.345446\pi\) |
0.0666179 | + | 0.997779i | \(0.478779\pi\) | |||||||
\(468\) | 15.8578 | − | 11.5213i | 0.733025 | − | 0.532574i | ||||
\(469\) | 30.7255 | + | 11.8473i | 1.41877 | + | 0.547058i | ||||
\(470\) | 0.898057 | + | 2.76393i | 0.0414243 | + | 0.127491i | ||||
\(471\) | −7.27204 | − | 1.54572i | −0.335078 | − | 0.0712230i | ||||
\(472\) | 4.22452 | − | 4.69180i | 0.194449 | − | 0.215958i | ||||
\(473\) | −6.54595 | + | 7.27002i | −0.300983 | + | 0.334276i | ||||
\(474\) | −0.779266 | − | 0.865463i | −0.0357929 | − | 0.0397520i | ||||
\(475\) | −19.8734 | + | 14.4389i | −0.911856 | + | 0.662502i | ||||
\(476\) | −1.00809 | − | 1.01112i | −0.0462058 | − | 0.0463446i | ||||
\(477\) | −13.4807 | − | 9.79427i | −0.617237 | − | 0.448449i | ||||
\(478\) | −0.776652 | + | 1.34520i | −0.0355232 | + | 0.0615280i | ||||
\(479\) | −36.8680 | + | 7.83655i | −1.68454 | + | 0.358061i | −0.947986 | − | 0.318313i | \(-0.896884\pi\) |
−0.736558 | + | 0.676374i | \(0.763550\pi\) | |||||||
\(480\) | 0.131327 | − | 1.24949i | 0.00599423 | − | 0.0570313i | ||||
\(481\) | −5.28236 | − | 50.2583i | −0.240855 | − | 2.29158i | ||||
\(482\) | 4.06005 | − | 2.94980i | 0.184930 | − | 0.134360i | ||||
\(483\) | 8.83320 | + | 5.75520i | 0.401925 | + | 0.261871i | ||||
\(484\) | −0.209299 | + | 0.152065i | −0.00951358 | + | 0.00691202i | ||||
\(485\) | 0.759623 | + | 0.161463i | 0.0344927 | + | 0.00733165i | ||||
\(486\) | 10.4406 | − | 2.21922i | 0.473596 | − | 0.100666i | ||||
\(487\) | 1.38184 | − | 13.1473i | 0.0626169 | − | 0.595760i | −0.917555 | − | 0.397610i | \(-0.869840\pi\) |
0.980172 | − | 0.198151i | \(-0.0634935\pi\) | |||||||
\(488\) | −35.6423 | + | 15.8690i | −1.61345 | + | 0.718356i | ||||
\(489\) | 12.6579 | 0.572408 | ||||||||
\(490\) | −1.35347 | − | 1.87470i | −0.0611436 | − | 0.0846901i | ||||
\(491\) | 17.2684 | 0.779313 | 0.389656 | − | 0.920960i | \(-0.372594\pi\) | ||||
0.389656 | + | 0.920960i | \(0.372594\pi\) | |||||||
\(492\) | 4.58186 | − | 0.206484i | 0.206566 | − | 0.00930903i | ||||
\(493\) | 0.227469 | + | 0.393988i | 0.0102447 | + | 0.0177443i | ||||
\(494\) | −22.8344 | + | 4.85361i | −1.02737 | + | 0.218374i | ||||
\(495\) | −1.76515 | + | 3.05733i | −0.0793376 | + | 0.137417i | ||||
\(496\) | 1.37243 | + | 0.997130i | 0.0616240 | + | 0.0447725i | ||||
\(497\) | −7.49126 | − | 19.6032i | −0.336029 | − | 0.879325i | ||||
\(498\) | 1.83413 | − | 5.64487i | 0.0821893 | − | 0.252953i | ||||
\(499\) | 6.30907 | + | 1.34103i | 0.282433 | + | 0.0600329i | 0.346950 | − | 0.937884i | \(-0.387217\pi\) |
−0.0645172 | + | 0.997917i | \(0.520551\pi\) | |||||||
\(500\) | 4.68392 | + | 2.08541i | 0.209471 | + | 0.0932626i | ||||
\(501\) | 3.32176 | + | 5.75346i | 0.148405 | + | 0.257046i | ||||
\(502\) | −1.96335 | − | 18.6800i | −0.0876285 | − | 0.833730i | ||||
\(503\) | −22.0874 | + | 16.0475i | −0.984830 | + | 0.715521i | −0.958783 | − | 0.284140i | \(-0.908292\pi\) |
−0.0260469 | + | 0.999661i | \(0.508292\pi\) | |||||||
\(504\) | −19.4018 | − | 3.10278i | −0.864225 | − | 0.138209i | ||||
\(505\) | 0.0123333 | − | 0.0379579i | 0.000548824 | − | 0.00168911i | ||||
\(506\) | 9.94810 | − | 17.2306i | 0.442247 | − | 0.765994i | ||||
\(507\) | 1.01081 | − | 9.61724i | 0.0448918 | − | 0.427117i | ||||
\(508\) | 11.1144 | − | 12.3438i | 0.493122 | − | 0.547667i | ||||
\(509\) | 3.98561 | + | 37.9205i | 0.176659 | + | 1.68080i | 0.620122 | + | 0.784505i | \(0.287083\pi\) |
−0.443463 | + | 0.896293i | \(0.646250\pi\) | |||||||
\(510\) | −0.0229909 | + | 0.0707587i | −0.00101805 | + | 0.00313325i | ||||
\(511\) | 1.84618 | − | 0.491716i | 0.0816702 | − | 0.0217522i | ||||
\(512\) | 1.17184 | + | 3.60654i | 0.0517883 | + | 0.159388i | ||||
\(513\) | 15.4692 | + | 3.28808i | 0.682983 | + | 0.145172i | ||||
\(514\) | 14.5956 | − | 16.2100i | 0.643784 | − | 0.714995i | ||||
\(515\) | 5.97618 | − | 1.27028i | 0.263342 | − | 0.0559751i | ||||
\(516\) | −0.222856 | − | 2.12033i | −0.00981069 | − | 0.0933425i | ||||
\(517\) | −8.93583 | − | 27.5016i | −0.392997 | − | 1.20952i | ||||
\(518\) | −12.6404 | + | 15.5618i | −0.555387 | + | 0.683746i | ||||
\(519\) | −7.73760 | −0.339643 | ||||||||
\(520\) | 4.05271 | + | 4.50099i | 0.177723 | + | 0.197381i | ||||
\(521\) | −0.458010 | + | 4.35767i | −0.0200658 | + | 0.190913i | −0.999963 | − | 0.00858935i | \(-0.997266\pi\) |
0.979897 | + | 0.199502i | \(0.0639326\pi\) | |||||||
\(522\) | 2.26355 | + | 1.00780i | 0.0990731 | + | 0.0441102i | ||||
\(523\) | −2.12645 | − | 20.2319i | −0.0929834 | − | 0.884678i | −0.937227 | − | 0.348719i | \(-0.886617\pi\) |
0.844244 | − | 0.535959i | \(-0.180050\pi\) | |||||||
\(524\) | 13.8573 | 0.605360 | ||||||||
\(525\) | −3.18927 | + | 6.23615i | −0.139191 | + | 0.272168i | ||||
\(526\) | 6.61512 | + | 20.3593i | 0.288433 | + | 0.887706i | ||||
\(527\) | −1.39057 | − | 1.54439i | −0.0605742 | − | 0.0672745i | ||||
\(528\) | −0.0631670 | + | 0.600994i | −0.00274899 | + | 0.0261549i | ||||
\(529\) | −3.14751 | + | 29.9466i | −0.136848 | + | 1.30202i | ||||
\(530\) | 1.01888 | − | 1.76475i | 0.0442574 | − | 0.0766561i | ||||
\(531\) | 1.91661 | − | 5.89872i | 0.0831738 | − | 0.255983i | ||||
\(532\) | −14.7334 | − | 9.59943i | −0.638774 | − | 0.416188i | ||||
\(533\) | −22.5233 | + | 27.4012i | −0.975594 | + | 1.18688i | ||||
\(534\) | −1.97171 | + | 3.41510i | −0.0853242 | + | 0.147786i | ||||
\(535\) | −4.58564 | + | 0.974708i | −0.198255 | + | 0.0421403i | ||||
\(536\) | 17.1106 | + | 29.6364i | 0.739064 | + | 1.28010i | ||||
\(537\) | −5.74556 | + | 2.55809i | −0.247939 | + | 0.110390i | ||||
\(538\) | −10.5091 | − | 7.63534i | −0.453081 | − | 0.329183i | ||||
\(539\) | 13.4673 | + | 18.6536i | 0.580078 | + | 0.803466i | ||||
\(540\) | −0.501817 | − | 1.54443i | −0.0215948 | − | 0.0664618i | ||||
\(541\) | 1.99361 | + | 18.9679i | 0.0857119 | + | 0.815495i | 0.949948 | + | 0.312408i | \(0.101136\pi\) |
−0.864236 | + | 0.503087i | \(0.832198\pi\) | |||||||
\(542\) | −10.7960 | − | 18.6992i | −0.463726 | − | 0.803198i | ||||
\(543\) | −8.78024 | − | 3.90921i | −0.376796 | − | 0.167760i | ||||
\(544\) | −0.248808 | − | 2.36725i | −0.0106675 | − | 0.101495i | ||||
\(545\) | −1.83152 | − | 1.33067i | −0.0784536 | − | 0.0569999i | ||||
\(546\) | −5.17927 | + | 4.18124i | −0.221652 | + | 0.178941i | ||||
\(547\) | 11.0846 | 0.473943 | 0.236971 | − | 0.971517i | \(-0.423845\pi\) | ||||
0.236971 | + | 0.971517i | \(0.423845\pi\) | |||||||
\(548\) | −20.4392 | + | 9.10010i | −0.873118 | + | 0.388737i | ||||
\(549\) | −25.6467 | + | 28.4836i | −1.09458 | + | 1.21565i | ||||
\(550\) | 12.0759 | + | 5.37652i | 0.514916 | + | 0.229256i | ||||
\(551\) | 3.74913 | + | 4.16383i | 0.159718 | + | 0.177385i | ||||
\(552\) | 3.38555 | + | 10.4197i | 0.144099 | + | 0.443490i | ||||
\(553\) | 4.79001 | + | 4.80440i | 0.203692 | + | 0.204304i | ||||
\(554\) | 6.21296 | + | 19.1215i | 0.263963 | + | 0.812395i | ||||
\(555\) | −1.94023 | − | 0.412409i | −0.0823582 | − | 0.0175058i | ||||
\(556\) | −0.795048 | + | 0.168993i | −0.0337175 | + | 0.00716688i | ||||
\(557\) | 31.3581 | + | 13.9615i | 1.32869 | + | 0.591569i | 0.943531 | − | 0.331283i | \(-0.107482\pi\) |
0.385154 | + | 0.922852i | \(0.374148\pi\) | |||||||
\(558\) | −11.0712 | − | 2.35326i | −0.468682 | − | 0.0996215i | ||||
\(559\) | 13.3391 | + | 9.69144i | 0.564185 | + | 0.409904i | ||||
\(560\) | −0.0190462 | + | 0.353283i | −0.000804848 | + | 0.0149289i | ||||
\(561\) | 0.228764 | − | 0.704062i | 0.00965841 | − | 0.0297255i | ||||
\(562\) | −13.3383 | + | 5.93858i | −0.562641 | + | 0.250504i | ||||
\(563\) | 23.1876 | + | 10.3238i | 0.977242 | + | 0.435096i | 0.832289 | − | 0.554342i | \(-0.187030\pi\) |
0.144954 | + | 0.989438i | \(0.453697\pi\) | |||||||
\(564\) | 5.75719 | + | 2.56327i | 0.242421 | + | 0.107933i | ||||
\(565\) | 1.86570 | − | 3.23148i | 0.0784904 | − | 0.135949i | ||||
\(566\) | 14.0181 | − | 10.1848i | 0.589226 | − | 0.428098i | ||||
\(567\) | −16.3591 | + | 4.35713i | −0.687020 | + | 0.182982i | ||||
\(568\) | 6.73916 | − | 20.7410i | 0.282769 | − | 0.870273i | ||||
\(569\) | −10.8139 | + | 4.81464i | −0.453341 | + | 0.201840i | −0.620688 | − | 0.784058i | \(-0.713147\pi\) |
0.167347 | + | 0.985898i | \(0.446480\pi\) | |||||||
\(570\) | −0.0957803 | + | 0.911288i | −0.00401179 | + | 0.0381697i | ||||
\(571\) | 0.554923 | + | 0.961155i | 0.0232228 | + | 0.0402231i | 0.877403 | − | 0.479754i | \(-0.159274\pi\) |
−0.854180 | + | 0.519977i | \(0.825941\pi\) | |||||||
\(572\) | −15.9598 | − | 17.7251i | −0.667312 | − | 0.741125i | ||||
\(573\) | 5.76103 | 0.240670 | ||||||||
\(574\) | 14.0073 | − | 1.34736i | 0.584653 | − | 0.0562379i | ||||
\(575\) | −35.2864 | −1.47154 | ||||||||
\(576\) | −7.45908 | − | 8.28415i | −0.310795 | − | 0.345173i | ||||
\(577\) | −8.83089 | − | 15.2956i | −0.367635 | − | 0.636762i | 0.621560 | − | 0.783366i | \(-0.286499\pi\) |
−0.989195 | + | 0.146604i | \(0.953166\pi\) | |||||||
\(578\) | 1.46130 | − | 13.9033i | 0.0607821 | − | 0.578303i | ||||
\(579\) | −8.31520 | + | 3.70217i | −0.345568 | + | 0.153857i | ||||
\(580\) | 0.177787 | − | 0.547173i | 0.00738222 | − | 0.0227201i | ||||
\(581\) | −8.99905 | + | 33.3845i | −0.373344 | + | 1.38502i | ||||
\(582\) | −0.717551 | + | 0.521332i | −0.0297435 | + | 0.0216099i | ||||
\(583\) | −10.1381 | + | 17.5596i | −0.419876 | + | 0.727246i | ||||
\(584\) | 1.81377 | + | 0.807545i | 0.0750545 | + | 0.0334164i | ||||
\(585\) | 5.43562 | + | 2.42010i | 0.224735 | + | 0.100059i | ||||
\(586\) | −11.0737 | + | 4.93031i | −0.457448 | + | 0.203669i | ||||
\(587\) | −7.89363 | + | 24.2941i | −0.325805 | + | 1.00272i | 0.645271 | + | 0.763954i | \(0.276744\pi\) |
−0.971076 | + | 0.238771i | \(0.923256\pi\) | |||||||
\(588\) | −4.98499 | − | 0.539067i | −0.205577 | − | 0.0222307i | ||||
\(589\) | −20.7066 | − | 15.0442i | −0.853199 | − | 0.619885i | ||||
\(590\) | 0.741919 | + | 0.157700i | 0.0305443 | + | 0.00649240i | ||||
\(591\) | −3.04204 | − | 1.35440i | −0.125133 | − | 0.0557127i | ||||
\(592\) | 3.00064 | − | 0.637806i | 0.123326 | − | 0.0262137i | ||||
\(593\) | 17.8900 | + | 3.80264i | 0.734654 | + | 0.156156i | 0.560021 | − | 0.828478i | \(-0.310793\pi\) |
0.174633 | + | 0.984634i | \(0.444126\pi\) | |||||||
\(594\) | −2.62978 | − | 8.09362i | −0.107901 | − | 0.332085i | ||||
\(595\) | 0.112803 | − | 0.418477i | 0.00462449 | − | 0.0171559i | ||||
\(596\) | −3.94195 | − | 12.1321i | −0.161469 | − | 0.496949i | ||||
\(597\) | −6.53865 | − | 7.26191i | −0.267609 | − | 0.297210i | ||||
\(598\) | −30.6343 | − | 13.6393i | −1.25273 | − | 0.557751i | ||||
\(599\) | −21.9662 | + | 24.3960i | −0.897517 | + | 0.996793i | 0.102481 | + | 0.994735i | \(0.467322\pi\) |
−0.999998 | + | 0.00205825i | \(0.999345\pi\) | |||||||
\(600\) | −6.64960 | + | 2.96059i | −0.271469 | + | 0.120866i | ||||
\(601\) | 7.87183 | 0.321099 | 0.160549 | − | 0.987028i | \(-0.448673\pi\) | ||||
0.160549 | + | 0.987028i | \(0.448673\pi\) | |||||||
\(602\) | −1.01359 | − | 6.46226i | −0.0413107 | − | 0.263382i | ||||
\(603\) | 27.1980 | + | 19.7605i | 1.10759 | + | 0.804710i | ||||
\(604\) | 0.438401 | + | 4.17111i | 0.0178383 | + | 0.169720i | ||||
\(605\) | −0.0717421 | − | 0.0319417i | −0.00291673 | − | 0.00129861i | ||||
\(606\) | 0.0227912 | + | 0.0394756i | 0.000925831 | + | 0.00160359i | ||||
\(607\) | −1.70543 | − | 16.2261i | −0.0692214 | − | 0.658597i | −0.973033 | − | 0.230667i | \(-0.925909\pi\) |
0.903811 | − | 0.427931i | \(-0.140757\pi\) | |||||||
\(608\) | −9.05898 | − | 27.8807i | −0.367390 | − | 1.13071i | ||||
\(609\) | 1.49064 | + | 0.574771i | 0.0604039 | + | 0.0232909i | ||||
\(610\) | −3.79210 | − | 2.75512i | −0.153537 | − | 0.111551i | ||||
\(611\) | −44.5236 | + | 19.8232i | −1.80123 | + | 0.801960i | ||||
\(612\) | −0.728818 | − | 1.26235i | −0.0294607 | − | 0.0510275i | ||||
\(613\) | −25.6981 | + | 5.46230i | −1.03794 | + | 0.220620i | −0.695203 | − | 0.718813i | \(-0.744686\pi\) |
−0.342732 | + | 0.939433i | \(0.611352\pi\) | |||||||
\(614\) | −0.232328 | + | 0.402404i | −0.00937600 | + | 0.0162397i | ||||
\(615\) | 0.749701 | + | 1.17316i | 0.0302309 | + | 0.0473065i | ||||
\(616\) | −1.28710 | + | 23.8741i | −0.0518587 | + | 0.961915i | ||||
\(617\) | −3.54164 | + | 10.9001i | −0.142581 | + | 0.438820i | −0.996692 | − | 0.0812713i | \(-0.974102\pi\) |
0.854111 | + | 0.520091i | \(0.174102\pi\) | |||||||
\(618\) | −3.48892 | + | 6.04299i | −0.140345 | + | 0.243085i | ||||
\(619\) | −0.575547 | + | 5.47596i | −0.0231332 | + | 0.220097i | 0.976848 | + | 0.213935i | \(0.0686282\pi\) |
−0.999981 | + | 0.00616215i | \(0.998039\pi\) | |||||||
\(620\) | −0.274716 | + | 2.61375i | −0.0110328 | + | 0.104971i | ||||
\(621\) | 15.2008 | + | 16.8822i | 0.609987 | + | 0.677459i | ||||
\(622\) | 0.877351 | + | 2.70021i | 0.0351786 | + | 0.108268i | ||||
\(623\) | 10.4598 | − | 20.4527i | 0.419064 | − | 0.819419i | ||||
\(624\) | 1.01850 | 0.0407728 | ||||||||
\(625\) | −2.36788 | − | 22.5288i | −0.0947151 | − | 0.901154i | ||||
\(626\) | −7.13930 | − | 3.17862i | −0.285344 | − | 0.127043i | ||||
\(627\) | 0.953031 | − | 9.06749i | 0.0380604 | − | 0.362121i | ||||
\(628\) | 11.9190 | + | 13.2374i | 0.475619 | + | 0.528229i | ||||
\(629\) | −3.75802 | −0.149842 | ||||||||
\(630\) | −0.842636 | − | 2.20502i | −0.0335714 | − | 0.0878501i | ||||
\(631\) | −3.28134 | − | 10.0989i | −0.130628 | − | 0.402032i | 0.864256 | − | 0.503052i | \(-0.167790\pi\) |
−0.994884 | + | 0.101020i | \(0.967790\pi\) | |||||||
\(632\) | 0.736946 | + | 7.01157i | 0.0293141 | + | 0.278905i | ||||
\(633\) | 5.01921 | − | 1.06687i | 0.199496 | − | 0.0424041i | ||||
\(634\) | 12.3913 | − | 13.7619i | 0.492122 | − | 0.546557i | ||||
\(635\) | 4.93190 | + | 1.04831i | 0.195717 | + | 0.0416008i | ||||
\(636\) | −1.36551 | − | 4.20261i | −0.0541460 | − | 0.166644i | ||||
\(637\) | 28.8942 | − | 25.8599i | 1.14483 | − | 1.02461i | ||||
\(638\) | 0.931697 | − | 2.86747i | 0.0368862 | − | 0.113524i | ||||
\(639\) | −2.23946 | − | 21.3070i | −0.0885916 | − | 0.842893i | ||||
\(640\) | −2.16287 | + | 2.40211i | −0.0854948 | + | 0.0949516i | ||||
\(641\) | 4.14914 | − | 39.4765i | 0.163881 | − | 1.55923i | −0.535535 | − | 0.844513i | \(-0.679890\pi\) |
0.699417 | − | 0.714714i | \(-0.253443\pi\) | |||||||
\(642\) | 2.67712 | − | 4.63690i | 0.105657 | − | 0.183004i | ||||
\(643\) | −1.84199 | + | 5.66905i | −0.0726409 | + | 0.223566i | −0.980785 | − | 0.195092i | \(-0.937499\pi\) |
0.908144 | + | 0.418658i | \(0.137499\pi\) | |||||||
\(644\) | −9.01686 | − | 23.5954i | −0.355314 | − | 0.929790i | ||||
\(645\) | 0.523579 | − | 0.380403i | 0.0206159 | − | 0.0149783i | ||||
\(646\) | 0.181462 | + | 1.72650i | 0.00713953 | + | 0.0679281i | ||||
\(647\) | 11.0841 | + | 19.1982i | 0.435759 | + | 0.754758i | 0.997357 | − | 0.0726528i | \(-0.0231465\pi\) |
−0.561598 | + | 0.827410i | \(0.689813\pi\) | |||||||
\(648\) | −16.0720 | − | 7.15572i | −0.631368 | − | 0.281103i | ||||
\(649\) | −7.38223 | − | 1.56914i | −0.289778 | − | 0.0615942i | ||||
\(650\) | 6.88459 | − | 21.1886i | 0.270036 | − | 0.831084i | ||||
\(651\) | −7.20642 | − | 1.15247i | −0.282442 | − | 0.0451688i | ||||
\(652\) | −24.5355 | − | 17.8260i | −0.960882 | − | 0.698122i | ||||
\(653\) | −1.71486 | + | 2.97022i | −0.0671075 | + | 0.116234i | −0.897627 | − | 0.440756i | \(-0.854710\pi\) |
0.830519 | + | 0.556990i | \(0.188044\pi\) | |||||||
\(654\) | 2.52906 | − | 0.537569i | 0.0988941 | − | 0.0210206i | ||||
\(655\) | 2.10322 | + | 3.64288i | 0.0821795 | + | 0.142339i | ||||
\(656\) | −1.79716 | − | 1.18590i | −0.0701673 | − | 0.0463014i | ||||
\(657\) | 1.95047 | 0.0760949 | ||||||||
\(658\) | 18.0407 | + | 6.95624i | 0.703299 | + | 0.271182i | ||||
\(659\) | 8.81919 | 0.343547 | 0.171773 | − | 0.985136i | \(-0.445050\pi\) | ||||
0.171773 | + | 0.985136i | \(0.445050\pi\) | |||||||
\(660\) | −0.855266 | + | 0.380789i | −0.0332912 | + | 0.0148222i | ||||
\(661\) | −0.199380 | + | 1.89697i | −0.00775497 | + | 0.0737836i | −0.997715 | − | 0.0675647i | \(-0.978477\pi\) |
0.989960 | + | 0.141348i | \(0.0451438\pi\) | |||||||
\(662\) | 2.89445 | − | 0.615235i | 0.112496 | − | 0.0239118i | ||||
\(663\) | −1.22044 | − | 0.259413i | −0.0473980 | − | 0.0100747i | ||||
\(664\) | −29.0691 | + | 21.1199i | −1.12810 | + | 0.819612i | ||||
\(665\) | 0.287359 | − | 5.33016i | 0.0111433 | − | 0.206695i | ||||
\(666\) | −16.5587 | + | 12.0306i | −0.641635 | + | 0.466175i | ||||
\(667\) | 0.841290 | + | 8.00434i | 0.0325749 | + | 0.309929i | ||||
\(668\) | 1.66383 | − | 15.8303i | 0.0643756 | − | 0.612493i | ||||
\(669\) | 12.9642 | − | 2.75563i | 0.501226 | − | 0.106539i | ||||
\(670\) | −2.05565 | + | 3.56050i | −0.0794168 | + | 0.137554i | ||||
\(671\) | 37.7320 | + | 27.4139i | 1.45663 | + | 1.05830i | ||||
\(672\) | −5.90177 | − | 5.91951i | −0.227666 | − | 0.228350i | ||||
\(673\) | 25.1944 | − | 18.3048i | 0.971172 | − | 0.705598i | 0.0154537 | − | 0.999881i | \(-0.495081\pi\) |
0.955718 | + | 0.294283i | \(0.0950807\pi\) | |||||||
\(674\) | −7.44762 | − | 8.27142i | −0.286872 | − | 0.318603i | ||||
\(675\) | −10.0991 | + | 11.2162i | −0.388716 | + | 0.431713i | ||||
\(676\) | −15.5033 | + | 17.2181i | −0.596280 | + | 0.662236i | ||||
\(677\) | −33.2095 | − | 7.05890i | −1.27634 | − | 0.271295i | −0.480606 | − | 0.876936i | \(-0.659583\pi\) |
−0.795738 | + | 0.605641i | \(0.792917\pi\) | |||||||
\(678\) | 1.31691 | + | 4.05302i | 0.0505755 | + | 0.155655i | ||||
\(679\) | 4.02025 | − | 3.24557i | 0.154283 | − | 0.124553i | ||||
\(680\) | 0.364382 | − | 0.264739i | 0.0139734 | − | 0.0101523i | ||||
\(681\) | 3.05688 | + | 0.649761i | 0.117140 | + | 0.0248989i | ||||
\(682\) | −1.43965 | + | 13.6974i | −0.0551271 | + | 0.524499i | ||||
\(683\) | −14.0919 | − | 24.4078i | −0.539210 | − | 0.933940i | −0.998947 | − | 0.0458845i | \(-0.985389\pi\) |
0.459736 | − | 0.888055i | \(-0.347944\pi\) | |||||||
\(684\) | −12.0124 | − | 13.3411i | −0.459304 | − | 0.510109i | ||||
\(685\) | −5.49447 | − | 3.99196i | −0.209933 | − | 0.152525i | ||||
\(686\) | −15.3588 | − | 0.874238i | −0.586402 | − | 0.0333785i | ||||
\(687\) | −1.36979 | + | 0.995209i | −0.0522606 | + | 0.0379696i | ||||
\(688\) | −0.500444 | + | 0.866795i | −0.0190793 | + | 0.0330462i | ||||
\(689\) | 31.2193 | + | 13.8997i | 1.18936 | + | 0.529537i | ||||
\(690\) | −0.880732 | + | 0.978152i | −0.0335289 | + | 0.0372376i | ||||
\(691\) | 18.0603 | + | 20.0580i | 0.687045 | + | 0.763041i | 0.981258 | − | 0.192699i | \(-0.0617241\pi\) |
−0.294213 | + | 0.955740i | \(0.595057\pi\) | |||||||
\(692\) | 14.9982 | + | 10.8969i | 0.570148 | + | 0.414236i | ||||
\(693\) | 8.38438 | + | 21.9404i | 0.318496 | + | 0.833445i | ||||
\(694\) | 13.4112 | 0.509084 | ||||||||
\(695\) | −0.165095 | − | 0.183357i | −0.00626242 | − | 0.00695512i | ||||
\(696\) | 0.830118 | + | 1.43781i | 0.0314655 | + | 0.0544999i | ||||
\(697\) | 1.85143 | + | 1.87875i | 0.0701279 | + | 0.0711629i | ||||
\(698\) | −7.84063 | + | 13.5804i | −0.296772 | + | 0.514024i | ||||
\(699\) | 3.88138 | − | 11.9457i | 0.146807 | − | 0.451826i | ||||
\(700\) | 14.9643 | − | 7.59645i | 0.565598 | − | 0.287119i | ||||
\(701\) | −32.2396 | − | 23.4234i | −1.21767 | − | 0.884691i | −0.221767 | − | 0.975100i | \(-0.571183\pi\) |
−0.995905 | + | 0.0904089i | \(0.971183\pi\) | |||||||
\(702\) | −13.1031 | + | 5.83388i | −0.494545 | + | 0.220186i | ||||
\(703\) | −45.2721 | + | 9.62289i | −1.70747 | + | 0.362934i | ||||
\(704\) | −9.07647 | + | 10.0804i | −0.342082 | + | 0.379921i | ||||
\(705\) | 0.199963 | + | 1.90252i | 0.00753105 | + | 0.0716531i | ||||
\(706\) | 0.250215 | 0.00941698 | ||||||||
\(707\) | −0.144288 | − | 0.222916i | −0.00542652 | − | 0.00838361i | ||||
\(708\) | 1.33066 | − | 0.966785i | 0.0500094 | − | 0.0363340i | ||||
\(709\) | 10.0058 | − | 4.45487i | 0.375776 | − | 0.167306i | −0.210153 | − | 0.977668i | \(-0.567396\pi\) |
0.585929 | + | 0.810362i | \(0.300730\pi\) | |||||||
\(710\) | 2.56279 | − | 0.544738i | 0.0961798 | − | 0.0204437i | ||||
\(711\) | 3.46303 | + | 5.99814i | 0.129874 | + | 0.224948i | ||||
\(712\) | 21.8086 | − | 9.70984i | 0.817314 | − | 0.363891i | ||||
\(713\) | −11.3612 | − | 34.9662i | −0.425480 | − | 1.30949i | ||||
\(714\) | 0.268973 | + | 0.415545i | 0.0100661 | + | 0.0155514i | ||||
\(715\) | 2.23735 | − | 6.88584i | 0.0836720 | − | 0.257516i | ||||
\(716\) | 14.7395 | + | 3.13298i | 0.550842 | + | 0.117085i | ||||
\(717\) | −0.684166 | + | 0.759843i | −0.0255506 | + | 0.0283769i | ||||
\(718\) | −4.18588 | + | 4.64889i | −0.156216 | + | 0.173495i | ||||
\(719\) | 0.739087 | + | 0.157098i | 0.0275633 | + | 0.00585876i | 0.221673 | − | 0.975121i | \(-0.428848\pi\) |
−0.194109 | + | 0.980980i | \(0.562182\pi\) | |||||||
\(720\) | −0.111614 | + | 0.343512i | −0.00415960 | + | 0.0128019i | ||||
\(721\) | 18.5086 | − | 36.1908i | 0.689295 | − | 1.34782i | ||||
\(722\) | 1.73000 | + | 5.32439i | 0.0643839 | + | 0.198153i | ||||
\(723\) | 3.01785 | − | 1.34363i | 0.112235 | − | 0.0499702i | ||||
\(724\) | 11.5139 | + | 19.9427i | 0.427911 | + | 0.741163i | ||||
\(725\) | −5.23038 | + | 1.11175i | −0.194252 | + | 0.0412894i | ||||
\(726\) | 0.0819363 | − | 0.0364804i | 0.00304094 | − | 0.00135391i | ||||
\(727\) | −24.1483 | + | 17.5447i | −0.895610 | + | 0.650699i | −0.937335 | − | 0.348431i | \(-0.886715\pi\) |
0.0417248 | + | 0.999129i | \(0.486715\pi\) | |||||||
\(728\) | 40.2442 | − | 2.04858i | 1.49155 | − | 0.0759256i | ||||
\(729\) | −12.1701 | −0.450743 | ||||||||
\(730\) | 0.0249329 | + | 0.237221i | 0.000922809 | + | 0.00877994i | ||||
\(731\) | 0.820438 | − | 0.911188i | 0.0303450 | − | 0.0337015i | ||||
\(732\) | −9.94226 | + | 2.11329i | −0.367476 | + | 0.0781095i | ||||
\(733\) | −28.8559 | + | 12.8475i | −1.06582 | + | 0.474533i | −0.863271 | − | 0.504740i | \(-0.831588\pi\) |
−0.202546 | + | 0.979273i | \(0.564922\pi\) | |||||||
\(734\) | −3.72950 | − | 2.70964i | −0.137659 | − | 0.100015i | ||||
\(735\) | −0.614892 | − | 1.39229i | −0.0226806 | − | 0.0513556i | ||||
\(736\) | 13.0128 | − | 40.0493i | 0.479658 | − | 1.47624i | ||||
\(737\) | 20.4541 | − | 35.4276i | 0.753437 | − | 1.30499i | ||||
\(738\) | 14.1723 | + | 2.35121i | 0.521689 | + | 0.0865492i | ||||
\(739\) | 8.67939 | + | 15.0331i | 0.319276 | + | 0.553003i | 0.980337 | − | 0.197329i | \(-0.0632268\pi\) |
−0.661061 | + | 0.750332i | \(0.729893\pi\) | |||||||
\(740\) | 3.18007 | + | 3.53182i | 0.116902 | + | 0.129832i | ||||
\(741\) | −15.3667 | −0.564509 | ||||||||
\(742\) | −4.83964 | − | 12.6644i | −0.177669 | − | 0.464926i | ||||
\(743\) | 21.4520 | + | 15.5858i | 0.786997 | + | 0.571786i | 0.907071 | − | 0.420978i | \(-0.138313\pi\) |
−0.120074 | + | 0.992765i | \(0.538313\pi\) | |||||||
\(744\) | −5.07471 | − | 5.63603i | −0.186048 | − | 0.206627i | ||||
\(745\) | 2.59104 | − | 2.87765i | 0.0949285 | − | 0.105429i | ||||
\(746\) | 6.18194 | + | 2.75238i | 0.226337 | + | 0.100772i | ||||
\(747\) | −17.6493 | + | 30.5696i | −0.645756 | + | 1.11848i | ||||
\(748\) | −1.43496 | + | 1.04256i | −0.0524672 | + | 0.0381196i | ||||
\(749\) | −14.2020 | + | 27.7699i | −0.518929 | + | 1.01469i | ||||
\(750\) | −1.43805 | − | 1.04480i | −0.0525101 | − | 0.0381508i | ||||
\(751\) | −5.57764 | − | 6.19460i | −0.203531 | − | 0.226044i | 0.632734 | − | 0.774369i | \(-0.281932\pi\) |
−0.836266 | + | 0.548325i | \(0.815266\pi\) | |||||||
\(752\) | −1.47927 | − | 2.56216i | −0.0539432 | − | 0.0934324i | ||||
\(753\) | 1.29238 | − | 12.2962i | 0.0470971 | − | 0.448099i | ||||
\(754\) | −4.97055 | − | 1.05652i | −0.181017 | − | 0.0384763i | ||||
\(755\) | −1.02998 | + | 0.748326i | −0.0374849 | + | 0.0272344i | ||||
\(756\) | −10.0808 | − | 3.88701i | −0.366635 | − | 0.141369i | ||||
\(757\) | 6.11729 | + | 18.8271i | 0.222337 | + | 0.684282i | 0.998551 | + | 0.0538130i | \(0.0171375\pi\) |
−0.776214 | + | 0.630469i | \(0.782863\pi\) | |||||||
\(758\) | 10.4925 | + | 2.23025i | 0.381105 | + | 0.0810064i | ||||
\(759\) | 8.76344 | − | 9.73279i | 0.318093 | − | 0.353278i | ||||
\(760\) | 3.71175 | − | 4.12231i | 0.134639 | − | 0.149532i | ||||
\(761\) | 24.5263 | + | 27.2393i | 0.889079 | + | 0.987422i | 0.999979 | − | 0.00640906i | \(-0.00204008\pi\) |
−0.110900 | + | 0.993832i | \(0.535373\pi\) | |||||||
\(762\) | −4.65875 | + | 3.38478i | −0.168769 | + | 0.122618i | ||||
\(763\) | −14.5546 | + | 3.87652i | −0.526914 | + | 0.140339i | ||||
\(764\) | −11.1669 | − | 8.11326i | −0.404006 | − | 0.293527i | ||||
\(765\) | 0.221235 | − | 0.383191i | 0.00799878 | − | 0.0138543i | ||||
\(766\) | 9.26382 | − | 1.96909i | 0.334715 | − | 0.0711459i | ||||
\(767\) | −1.32961 | + | 12.6504i | −0.0480095 | + | 0.456780i | ||||
\(768\) | −0.857636 | − | 8.15986i | −0.0309473 | − | 0.294444i | ||||
\(769\) | 17.8693 | − | 12.9828i | 0.644383 | − | 0.468172i | −0.216970 | − | 0.976178i | \(-0.569617\pi\) |
0.861353 | + | 0.508007i | \(0.169617\pi\) | |||||||
\(770\) | −2.56127 | + | 1.30020i | −0.0923017 | + | 0.0468558i | ||||
\(771\) | 11.6162 | − | 8.43963i | 0.418346 | − | 0.303946i | ||||
\(772\) | 21.3316 | + | 4.53417i | 0.767741 | + | 0.163188i | ||||
\(773\) | 20.7610 | − | 4.41288i | 0.746721 | − | 0.158720i | 0.181191 | − | 0.983448i | \(-0.442005\pi\) |
0.565530 | + | 0.824728i | \(0.308672\pi\) | |||||||
\(774\) | 0.698036 | − | 6.64137i | 0.0250904 | − | 0.238719i | ||||
\(775\) | 22.3146 | − | 9.93511i | 0.801565 | − | 0.356880i | ||||
\(776\) | 5.36934 | 0.192748 | ||||||||
\(777\) | −10.2685 | + | 8.28983i | −0.368382 | + | 0.297396i | ||||
\(778\) | 23.1791 | 0.831013 | ||||||||
\(779\) | 27.1146 | + | 17.8922i | 0.971483 | + | 0.641054i | ||||
\(780\) | 0.788949 | + | 1.36650i | 0.0282489 | + | 0.0489285i | ||||
\(781\) | −25.5002 | + | 5.42024i | −0.912470 | + | 0.193952i | ||||
\(782\) | −1.24685 | + | 2.15960i | −0.0445871 | + | 0.0772271i | ||||
\(783\) | 2.78507 | + | 2.02347i | 0.0995301 | + | 0.0723129i | ||||
\(784\) | 1.74454 | + | 1.58029i | 0.0623050 | + | 0.0564390i | ||||
\(785\) | −1.67088 | + | 5.14244i | −0.0596363 | + | 0.183542i | ||||
\(786\) | −4.69916 | − | 0.998838i | −0.167614 | − | 0.0356274i | ||||
\(787\) | −3.50944 | − | 1.56250i | −0.125098 | − | 0.0556972i | 0.343233 | − | 0.939250i | \(-0.388478\pi\) |
−0.468331 | + | 0.883553i | \(0.655145\pi\) | |||||||
\(788\) | 3.98915 | + | 6.90942i | 0.142108 | + | 0.246138i | ||||
\(789\) | 1.47294 | + | 14.0141i | 0.0524379 | + | 0.498914i | ||||
\(790\) | −0.685242 | + | 0.497858i | −0.0243798 | + | 0.0177130i | ||||
\(791\) | −8.86196 | − | 23.1901i | −0.315095 | − | 0.824545i | ||||
\(792\) | −7.54261 | + | 23.2138i | −0.268015 | + | 0.824865i | ||||
\(793\) | 39.3034 | − | 68.0755i | 1.39570 | − | 2.41743i | ||||
\(794\) | 1.14291 | − | 10.8741i | 0.0405605 | − | 0.385907i | ||||
\(795\) | 0.897550 | − | 0.996830i | 0.0318328 | − | 0.0353539i | ||||
\(796\) | 2.44731 | + | 23.2846i | 0.0867424 | + | 0.825299i | ||||
\(797\) | −6.99912 | + | 21.5411i | −0.247922 | + | 0.763024i | 0.747221 | + | 0.664576i | \(0.231388\pi\) |
−0.995142 | + | 0.0984480i | \(0.968612\pi\) | |||||||
\(798\) | 4.30432 | + | 4.31725i | 0.152371 | + | 0.152829i | ||||
\(799\) | 1.11997 | + | 3.44692i | 0.0396218 | + | 0.121943i | ||||
\(800\) | 27.3660 | + | 5.81682i | 0.967533 | + | 0.205655i | ||||
\(801\) | 15.6926 | − | 17.4284i | 0.554470 | − | 0.615802i | ||||
\(802\) | −3.75694 | + | 0.798563i | −0.132662 | + | 0.0281982i | ||||
\(803\) | −0.248087 | − | 2.36039i | −0.00875481 | − | 0.0832964i | ||||
\(804\) | 2.75500 | + | 8.47901i | 0.0971613 | + | 0.299032i | ||||
\(805\) | 4.83434 | − | 5.95163i | 0.170388 | − | 0.209767i | ||||
\(806\) | 23.2129 | 0.817641 | ||||||||
\(807\) | −5.72156 | − | 6.35444i | −0.201408 | − | 0.223687i | ||||
\(808\) | 0.0288442 | − | 0.274434i | 0.00101473 | − | 0.00965456i | ||||
\(809\) | −11.7567 | − | 5.23441i | −0.413343 | − | 0.184032i | 0.189520 | − | 0.981877i | \(-0.439307\pi\) |
−0.602863 | + | 0.797845i | \(0.705973\pi\) | |||||||
\(810\) | −0.220933 | − | 2.10203i | −0.00776278 | − | 0.0738579i | ||||
\(811\) | −52.9586 | −1.85963 | −0.929814 | − | 0.368030i | \(-0.880032\pi\) | ||||
−0.929814 | + | 0.368030i | \(0.880032\pi\) | |||||||
\(812\) | −2.07995 | − | 3.21339i | −0.0729920 | − | 0.112768i | ||||
\(813\) | −4.39205 | − | 13.5174i | −0.154036 | − | 0.474074i | ||||
\(814\) | 16.6652 | + | 18.5086i | 0.584114 | + | 0.648725i | ||||
\(815\) | 0.962290 | − | 9.15558i | 0.0337075 | − | 0.320706i | ||||
\(816\) | 0.00791704 | − | 0.0753256i | 0.000277152 | − | 0.00263692i | ||||
\(817\) | 7.55045 | − | 13.0778i | 0.264157 | − | 0.457533i | ||||
\(818\) | −0.948128 | + | 2.91804i | −0.0331505 | + | 0.102027i | ||||
\(819\) | 35.2990 | − | 17.9191i | 1.23345 | − | 0.626144i | ||||
\(820\) | 0.198975 | − | 3.32981i | 0.00694850 | − | 0.116282i | ||||
\(821\) | −22.7619 | + | 39.4248i | −0.794396 | + | 1.37593i | 0.128827 | + | 0.991667i | \(0.458879\pi\) |
−0.923222 | + | 0.384266i | \(0.874454\pi\) | |||||||
\(822\) | 7.58707 | − | 1.61268i | 0.264629 | − | 0.0562487i | ||||
\(823\) | 3.30670 | + | 5.72737i | 0.115264 | + | 0.199644i | 0.917885 | − | 0.396846i | \(-0.129895\pi\) |
−0.802621 | + | 0.596489i | \(0.796562\pi\) | |||||||
\(824\) | 38.5902 | − | 17.1815i | 1.34435 | − | 0.598545i | ||||
\(825\) | 7.03946 | + | 5.11447i | 0.245083 | + | 0.178063i | ||||
\(826\) | 3.92656 | − | 3.16992i | 0.136622 | − | 0.110296i | ||||
\(827\) | −1.29399 | − | 3.98248i | −0.0449963 | − | 0.138484i | 0.926034 | − | 0.377439i | \(-0.123195\pi\) |
−0.971031 | + | 0.238955i | \(0.923195\pi\) | |||||||
\(828\) | −2.69552 | − | 25.6462i | −0.0936759 | − | 0.891267i | ||||
\(829\) | 8.48012 | + | 14.6880i | 0.294527 | + | 0.510135i | 0.974875 | − | 0.222754i | \(-0.0715046\pi\) |
−0.680348 | + | 0.732889i | \(0.738171\pi\) | |||||||
\(830\) | −3.94357 | − | 1.75579i | −0.136883 | − | 0.0609443i | ||||
\(831\) | 1.38339 | + | 13.1621i | 0.0479892 | + | 0.456587i | ||||
\(832\) | 18.4957 | + | 13.4379i | 0.641223 | + | 0.465876i | ||||
\(833\) | −1.68792 | − | 2.33795i | −0.0584831 | − | 0.0810050i | ||||
\(834\) | 0.281790 | 0.00975759 | ||||||||
\(835\) | 4.41408 | − | 1.96527i | 0.152755 | − | 0.0680111i | ||||
\(836\) | −14.6171 | + | 16.2339i | −0.505541 | + | 0.561461i | ||||
\(837\) | −14.3661 | − | 6.39619i | −0.496565 | − | 0.221085i | ||||
\(838\) | 9.07511 | + | 10.0789i | 0.313494 | + | 0.348171i | ||||
\(839\) | −9.10374 | − | 28.0184i | −0.314296 | − | 0.967304i | −0.976043 | − | 0.217577i | \(-0.930185\pi\) |
0.661747 | − | 0.749727i | \(-0.269815\pi\) | |||||||
\(840\) | 0.411661 | − | 1.52718i | 0.0142037 | − | 0.0526926i | ||||
\(841\) | −8.58460 | − | 26.4207i | −0.296021 | − | 0.911058i | ||||
\(842\) | 5.91370 | + | 1.25700i | 0.203800 | + | 0.0433189i | ||||
\(843\) | −9.40086 | + | 1.99821i | −0.323783 | + | 0.0688222i | ||||
\(844\) | −11.2315 | − | 5.00058i | −0.386604 | − | 0.172127i | ||||
\(845\) | −6.87942 | − | 1.46227i | −0.236659 | − | 0.0503035i | ||||
\(846\) | 15.9695 | + | 11.6025i | 0.549043 | + | 0.398903i | ||||
\(847\) | −0.465894 | + | 0.236505i | −0.0160083 | + | 0.00812642i | ||||
\(848\) | −0.641048 | + | 1.97294i | −0.0220137 | + | 0.0677512i | ||||
\(849\) | 10.4197 | − | 4.63916i | 0.357604 | − | 0.159216i | ||||
\(850\) | −1.51353 | − | 0.673866i | −0.0519136 | − | 0.0231134i | ||||
\(851\) | −60.7363 | − | 27.0415i | −2.08201 | − | 0.926972i | ||||
\(852\) | 2.84078 | − | 4.92038i | 0.0973236 | − | 0.168569i | ||||
\(853\) | −3.55560 | + | 2.58329i | −0.121741 | + | 0.0884503i | −0.646990 | − | 0.762499i | \(-0.723972\pi\) |
0.525248 | + | 0.850949i | \(0.323972\pi\) | |||||||
\(854\) | −30.1349 | + | 8.02620i | −1.03120 | + | 0.274651i | ||||
\(855\) | 1.68397 | − | 5.18273i | 0.0575906 | − | 0.177246i | ||||
\(856\) | −29.6110 | + | 13.1837i | −1.01208 | + | 0.450609i | ||||
\(857\) | −1.79419 | + | 17.0705i | −0.0612882 | + | 0.583118i | 0.920180 | + | 0.391495i | \(0.128042\pi\) |
−0.981469 | + | 0.191623i | \(0.938625\pi\) | |||||||
\(858\) | 4.13450 | + | 7.16116i | 0.141149 | + | 0.244478i | ||||
\(859\) | −24.2712 | − | 26.9559i | −0.828122 | − | 0.919722i | 0.169713 | − | 0.985494i | \(-0.445716\pi\) |
−0.997835 | + | 0.0657713i | \(0.979049\pi\) | |||||||
\(860\) | −1.55061 | −0.0528752 | ||||||||
\(861\) | 9.20327 | + | 1.04949i | 0.313647 | + | 0.0357667i | ||||
\(862\) | 13.6702 | 0.465609 | ||||||||
\(863\) | 12.9603 | + | 14.3938i | 0.441172 | + | 0.489971i | 0.922189 | − | 0.386740i | \(-0.126399\pi\) |
−0.481017 | + | 0.876712i | \(0.659732\pi\) | |||||||
\(864\) | −9.00586 | − | 15.5986i | −0.306385 | − | 0.530675i | ||||
\(865\) | −0.588237 | + | 5.59670i | −0.0200007 | + | 0.190294i | ||||
\(866\) | 6.74036 | − | 3.00100i | 0.229047 | − | 0.101978i | ||||
\(867\) | 2.84368 | − | 8.75196i | 0.0965766 | − | 0.297232i | ||||
\(868\) | 12.3456 | + | 12.3827i | 0.419037 | + | 0.420296i | ||||
\(869\) | 6.81828 | − | 4.95377i | 0.231294 | − | 0.168045i | ||||
\(870\) | −0.0997299 | + | 0.172737i | −0.00338116 | + | 0.00585634i | ||||
\(871\) | −62.9867 | − | 28.0435i | −2.13422 | − | 0.950217i | ||||
\(872\) | −14.2992 | − | 6.36640i | −0.484231 | − | 0.215594i | ||||
\(873\) | 4.81877 | − | 2.14546i | 0.163091 | − | 0.0726127i | ||||
\(874\) | −9.49058 | + | 29.2090i | −0.321024 | + | 0.988010i | ||||
\(875\) | 8.67586 | + | 5.65269i | 0.293297 | + | 0.191096i | ||||
\(876\) | 0.418461 | + | 0.304030i | 0.0141385 | + | 0.0102722i | ||||
\(877\) | 41.2704 | + | 8.77230i | 1.39360 | + | 0.296220i | 0.842715 | − | 0.538359i | \(-0.180956\pi\) |
0.550888 | + | 0.834579i | \(0.314289\pi\) | |||||||
\(878\) | 6.30188 | + | 2.80578i | 0.212678 | + | 0.0946905i | ||||
\(879\) | −7.80475 | + | 1.65895i | −0.263248 | + | 0.0559550i | ||||
\(880\) | 0.429904 | + | 0.0913789i | 0.0144921 | + | 0.00308038i | ||||
\(881\) | 9.02442 | + | 27.7743i | 0.304040 | + | 0.935740i | 0.980034 | + | 0.198832i | \(0.0637149\pi\) |
−0.675993 | + | 0.736908i | \(0.736285\pi\) | |||||||
\(882\) | −14.9219 | − | 4.89794i | −0.502445 | − | 0.164922i | ||||
\(883\) | 10.1078 | + | 31.1086i | 0.340154 | + | 1.04689i | 0.964127 | + | 0.265441i | \(0.0855176\pi\) |
−0.623973 | + | 0.781446i | \(0.714482\pi\) | |||||||
\(884\) | 2.00032 | + | 2.22158i | 0.0672780 | + | 0.0747198i | ||||
\(885\) | 0.456117 | + | 0.203076i | 0.0153322 | + | 0.00682634i | ||||
\(886\) | 13.9615 | − | 15.5058i | 0.469044 | − | 0.520926i | ||||
\(887\) | 23.1445 | − | 10.3046i | 0.777117 | − | 0.345995i | 0.0204461 | − | 0.999791i | \(-0.493491\pi\) |
0.756671 | + | 0.653796i | \(0.226825\pi\) | |||||||
\(888\) | −13.7144 | −0.460225 | ||||||||
\(889\) | 26.1018 | − | 21.0721i | 0.875425 | − | 0.706734i | ||||
\(890\) | 2.32029 | + | 1.68579i | 0.0777762 | + | 0.0565077i | ||||
\(891\) | 2.19832 | + | 20.9156i | 0.0736465 | + | 0.700700i | ||||
\(892\) | −29.0100 | − | 12.9161i | −0.971328 | − | 0.432463i | ||||
\(893\) | 22.3184 | + | 38.6566i | 0.746857 | + | 1.29359i | ||||
\(894\) | 0.462275 | + | 4.39825i | 0.0154608 | + | 0.147100i | ||||
\(895\) | 1.41350 | + | 4.35031i | 0.0472481 | + | 0.145415i | ||||
\(896\) | 3.33234 | + | 21.2457i | 0.111326 | + | 0.709771i | ||||
\(897\) | −17.8578 | − | 12.9745i | −0.596256 | − | 0.433205i | ||||
\(898\) | −23.9150 | + | 10.6476i | −0.798053 | + | 0.355316i | ||||
\(899\) | −2.78570 | − | 4.82497i | −0.0929082 | − | 0.160922i | ||||
\(900\) | 16.7583 | − | 3.56210i | 0.558611 | − | 0.118737i | ||||
\(901\) | 1.27065 | − | 2.20084i | 0.0423316 | − | 0.0733205i | ||||
\(902\) | 1.04273 | − | 17.4499i | 0.0347191 | − | 0.581019i | ||||
\(903\) | 0.231798 | − | 4.29957i | 0.00771376 | − | 0.143081i | ||||
\(904\) | 7.97225 | − | 24.5361i | 0.265153 | − | 0.816057i | ||||
\(905\) | −3.49508 | + | 6.05366i | −0.116180 | + | 0.201231i | ||||
\(906\) | 0.151988 | − | 1.44607i | 0.00504945 | − | 0.0480423i | ||||
\(907\) | 1.34271 | − | 12.7750i | 0.0445839 | − | 0.424187i | −0.949351 | − | 0.314218i | \(-0.898258\pi\) |
0.993935 | − | 0.109970i | \(-0.0350755\pi\) | |||||||
\(908\) | −5.01028 | − | 5.56448i | −0.166272 | − | 0.184664i | ||||
\(909\) | −0.0837705 | − | 0.257819i | −0.00277849 | − | 0.00855132i | ||||
\(910\) | 2.63060 | + | 4.06410i | 0.0872035 | + | 0.134724i | ||||
\(911\) | −0.901565 | −0.0298702 | −0.0149351 | − | 0.999888i | \(-0.504754\pi\) | ||||
−0.0149351 | + | 0.999888i | \(0.504754\pi\) | |||||||
\(912\) | −0.0975059 | − | 0.927706i | −0.00322874 | − | 0.0307194i | ||||
\(913\) | 39.2392 | + | 17.4704i | 1.29863 | + | 0.578187i | ||||
\(914\) | −0.916381 | + | 8.71879i | −0.0303112 | + | 0.288392i | ||||
\(915\) | −2.06455 | − | 2.29292i | −0.0682521 | − | 0.0758016i | ||||
\(916\) | 4.05669 | 0.134037 | ||||||||
\(917\) | 27.6351 | + | 4.41947i | 0.912592 | + | 0.145944i | ||||
\(918\) | 0.329603 | + | 1.01441i | 0.0108785 | + | 0.0334807i | ||||
\(919\) | 2.14835 | + | 20.4402i | 0.0708676 | + | 0.674260i | 0.971071 | + | 0.238791i | \(0.0767509\pi\) |
−0.900204 | + | 0.435469i | \(0.856582\pi\) | |||||||
\(920\) | 7.79405 | − | 1.65668i | 0.256962 | − | 0.0546190i | ||||
\(921\) | −0.204662 | + | 0.227300i | −0.00674383 | + | 0.00748979i | ||||
\(922\) | 27.9695 | + | 5.94510i | 0.921127 | + | 0.195792i | ||||
\(923\) | 13.5778 | + | 41.7882i | 0.446919 | + | 1.37548i | ||||
\(924\) | −1.62115 | + | 6.01410i | −0.0533318 | + | 0.197849i | ||||
\(925\) | 13.6495 | − | 42.0090i | 0.448794 | − | 1.38125i | ||||
\(926\) | 0.153189 | + | 1.45749i | 0.00503409 | + | 0.0478961i | ||||
\(927\) | 27.7679 | − | 30.8394i | 0.912017 | − | 1.01290i | ||||
\(928\) | 0.667030 | − | 6.34637i | 0.0218963 | − | 0.208330i | ||||
\(929\) | −1.37494 | + | 2.38147i | −0.0451104 | + | 0.0781335i | −0.887699 | − | 0.460424i | \(-0.847697\pi\) |
0.842589 | + | 0.538558i | \(0.181031\pi\) | |||||||
\(930\) | 0.281558 | − | 0.866547i | 0.00923265 | − | 0.0284152i | ||||
\(931\) | −26.3207 | − | 23.8427i | −0.862627 | − | 0.781411i | ||||
\(932\) | −24.3466 | + | 17.6888i | −0.797498 | + | 0.579416i | ||||
\(933\) | 0.195353 | + | 1.85866i | 0.00639556 | + | 0.0608497i | ||||
\(934\) | 4.89346 | + | 8.47573i | 0.160119 | + | 0.277334i | ||||
\(935\) | −0.491865 | − | 0.218993i | −0.0160857 | − | 0.00716182i | ||||
\(936\) | 40.2394 | + | 8.55314i | 1.31526 | + | 0.279568i | ||||
\(937\) | −1.82731 | + | 5.62389i | −0.0596957 | + | 0.183724i | −0.976457 | − | 0.215710i | \(-0.930793\pi\) |
0.916762 | + | 0.399434i | \(0.130793\pi\) | |||||||
\(938\) | 9.76425 | + | 25.5512i | 0.318814 | + | 0.834277i | ||||
\(939\) | −4.16176 | − | 3.02369i | −0.135814 | − | 0.0986745i | ||||
\(940\) | 2.29172 | − | 3.96938i | 0.0747477 | − | 0.129467i | ||||
\(941\) | 12.4359 | − | 2.64334i | 0.405399 | − | 0.0861703i | −0.000698820 | − | 1.00000i | \(-0.500222\pi\) |
0.406098 | + | 0.913829i | \(0.366889\pi\) | |||||||
\(942\) | −3.08770 | − | 5.34805i | −0.100603 | − | 0.174249i | ||||
\(943\) | 16.4035 | + | 43.6864i | 0.534172 | + | 1.42262i | ||||
\(944\) | −0.772159 | −0.0251316 | ||||||||
\(945\) | −0.508192 | − | 3.24004i | −0.0165315 | − | 0.105399i | ||||
\(946\) | −8.12597 | −0.264198 | ||||||||
\(947\) | 0.576015 | − | 0.256458i | 0.0187180 | − | 0.00833377i | −0.397356 | − | 0.917664i | \(-0.630072\pi\) |
0.416074 | + | 0.909331i | \(0.363406\pi\) | |||||||
\(948\) | −0.191991 | + | 1.82667i | −0.00623556 | + | 0.0593274i | ||||
\(949\) | −3.91275 | + | 0.831680i | −0.127013 | + | 0.0269975i | ||||
\(950\) | −19.9587 | − | 4.24236i | −0.647547 | − | 0.137640i | ||||
\(951\) | 9.86184 | − | 7.16505i | 0.319792 | − | 0.232343i | ||||
\(952\) | 0.161319 | − | 2.99226i | 0.00522837 | − | 0.0969798i | ||||
\(953\) | 16.3552 | − | 11.8828i | 0.529797 | − | 0.384920i | −0.290485 | − | 0.956880i | \(-0.593816\pi\) |
0.820282 | + | 0.571959i | \(0.193816\pi\) | |||||||
\(954\) | −1.44677 | − | 13.7651i | −0.0468411 | − | 0.445663i | ||||
\(955\) | 0.437972 | − | 4.16702i | 0.0141724 | − | 0.134842i | ||||
\(956\) | 2.39624 | − | 0.509338i | 0.0775001 | − | 0.0164732i | ||||
\(957\) | 0.992330 | − | 1.71877i | 0.0320775 | − | 0.0555598i | ||||
\(958\) | −25.3289 | − | 18.4025i | −0.818340 | − | 0.594559i | ||||
\(959\) | −43.6633 | + | 11.6294i | −1.40996 | + | 0.375532i | ||||
\(960\) | 0.725983 | − | 0.527457i | 0.0234310 | − | 0.0170236i | ||||
\(961\) | −3.71342 | − | 4.12417i | −0.119788 | − | 0.133038i | ||||
\(962\) | 28.0878 | − | 31.1946i | 0.905587 | − | 1.00576i | ||||
\(963\) | −21.3068 | + | 23.6636i | −0.686604 | + | 0.762550i | ||||
\(964\) | −7.74191 | − | 1.64559i | −0.249350 | − | 0.0530010i | ||||
\(965\) | 2.04567 | + | 6.29594i | 0.0658526 | + | 0.202673i | ||||
\(966\) | 1.35695 | + | 8.65139i | 0.0436591 | + | 0.278354i | ||||
\(967\) | −20.6517 | + | 15.0043i | −0.664114 | + | 0.482507i | −0.868050 | − | 0.496477i | \(-0.834627\pi\) |
0.203936 | + | 0.978984i | \(0.434627\pi\) | |||||||
\(968\) | −0.531100 | − | 0.112889i | −0.0170702 | − | 0.00362838i | ||||
\(969\) | −0.119448 | + | 1.13647i | −0.00383723 | + | 0.0365088i | ||||
\(970\) | 0.322535 | + | 0.558647i | 0.0103560 | + | 0.0179371i | ||||
\(971\) | −16.8703 | − | 18.7364i | −0.541393 | − | 0.601278i | 0.408921 | − | 0.912570i | \(-0.365905\pi\) |
−0.950314 | + | 0.311291i | \(0.899238\pi\) | |||||||
\(972\) | −13.6192 | − | 9.89489i | −0.436835 | − | 0.317379i | ||||
\(973\) | −1.63943 | + | 0.0834533i | −0.0525577 | + | 0.00267539i | ||||
\(974\) | 8.88367 | − | 6.45436i | 0.284651 | − | 0.206811i | ||||
\(975\) | 7.33262 | − | 12.7005i | 0.234832 | − | 0.406741i | ||||
\(976\) | 4.35920 | + | 1.94084i | 0.139534 | + | 0.0621248i | ||||
\(977\) | −8.10914 | + | 9.00611i | −0.259434 | + | 0.288131i | −0.858764 | − | 0.512371i | \(-0.828767\pi\) |
0.599330 | + | 0.800502i | \(0.295434\pi\) | |||||||
\(978\) | 7.03532 | + | 7.81352i | 0.224965 | + | 0.249849i | ||||
\(979\) | −23.0873 | − | 16.7739i | −0.737873 | − | 0.536096i | ||||
\(980\) | −0.768888 | + | 3.56472i | −0.0245612 | + | 0.113871i | ||||
\(981\) | −15.3768 | −0.490943 | ||||||||
\(982\) | 9.59791 | + | 10.6596i | 0.306282 | + | 0.340160i | ||||
\(983\) | −26.0373 | − | 45.0980i | −0.830462 | − | 1.43840i | −0.897672 | − | 0.440663i | \(-0.854743\pi\) |
0.0672105 | − | 0.997739i | \(-0.478590\pi\) | |||||||
\(984\) | 6.75655 | + | 6.85627i | 0.215391 | + | 0.218570i | ||||
\(985\) | −1.21092 | + | 2.09738i | −0.0385832 | + | 0.0668280i | ||||
\(986\) | −0.116774 | + | 0.359394i | −0.00371885 | + | 0.0114454i | ||||
\(987\) | 10.6638 | + | 6.94794i | 0.339434 | + | 0.221155i | ||||
\(988\) | 29.7861 | + | 21.6409i | 0.947623 | + | 0.688488i | ||||
\(989\) | 19.8164 | − | 8.82282i | 0.630124 | − | 0.280549i | ||||
\(990\) | −2.86833 | + | 0.609683i | −0.0911615 | + | 0.0193770i | ||||
\(991\) | 2.47636 | − | 2.75028i | 0.0786643 | − | 0.0873656i | −0.702528 | − | 0.711656i | \(-0.747945\pi\) |
0.781192 | + | 0.624291i | \(0.214612\pi\) | |||||||
\(992\) | 3.04702 | + | 28.9905i | 0.0967431 | + | 0.920449i | ||||
\(993\) | 1.94785 | 0.0618132 | ||||||||
\(994\) | 7.93711 | − | 15.5199i | 0.251750 | − | 0.492260i | ||||
\(995\) | −5.74971 | + | 4.17741i | −0.182278 | + | 0.132433i | ||||
\(996\) | −8.55162 | + | 3.80742i | −0.270968 | + | 0.120643i | ||||
\(997\) | 40.1068 | − | 8.52497i | 1.27020 | − | 0.269989i | 0.476972 | − | 0.878918i | \(-0.341734\pi\) |
0.793224 | + | 0.608930i | \(0.208401\pi\) | |||||||
\(998\) | 2.67882 | + | 4.63986i | 0.0847966 | + | 0.146872i | ||||
\(999\) | −25.9785 | + | 11.5664i | −0.821925 | + | 0.365944i |
(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 | 287.2.s.a.16.17 | ✓ | 208 | |
7.4 | even | 3 | inner | 287.2.s.a.221.10 | yes | 208 | |
41.18 | even | 5 | inner | 287.2.s.a.100.10 | yes | 208 | |
287.18 | even | 15 | inner | 287.2.s.a.18.17 | yes | 208 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.s.a.16.17 | ✓ | 208 | 1.1 | even | 1 | trivial | |
287.2.s.a.18.17 | yes | 208 | 287.18 | even | 15 | inner | |
287.2.s.a.100.10 | yes | 208 | 41.18 | even | 5 | inner | |
287.2.s.a.221.10 | yes | 208 | 7.4 | even | 3 | inner |