Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 164.11 |
Dual form | 164.2.o.b.15.6 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.855915 | + | 1.12579i | −0.605223 | + | 0.796056i | ||||
\(3\) | −0.107548 | + | 0.259643i | −0.0620928 | + | 0.149905i | −0.951881 | − | 0.306469i | \(-0.900852\pi\) |
0.889788 | + | 0.456375i | \(0.150852\pi\) | |||||||
\(4\) | −0.534820 | − | 1.92717i | −0.267410 | − | 0.963583i | ||||
\(5\) | 0.160579 | − | 0.315153i | 0.0718129 | − | 0.140941i | −0.852309 | − | 0.523039i | \(-0.824798\pi\) |
0.924122 | + | 0.382098i | \(0.124798\pi\) | |||||||
\(6\) | −0.200253 | − | 0.343309i | −0.0817530 | − | 0.140155i | ||||
\(7\) | 0.730639 | + | 3.04333i | 0.276156 | + | 1.15027i | 0.922120 | + | 0.386904i | \(0.126455\pi\) |
−0.645965 | + | 0.763367i | \(0.723545\pi\) | |||||||
\(8\) | 2.62735 | + | 1.04739i | 0.928909 | + | 0.370309i | ||||
\(9\) | 2.06547 | + | 2.06547i | 0.688491 | + | 0.688491i | ||||
\(10\) | 0.217356 | + | 0.450522i | 0.0687339 | + | 0.142468i | ||||
\(11\) | −2.95352 | + | 3.45813i | −0.890521 | + | 1.04267i | 0.108300 | + | 0.994118i | \(0.465459\pi\) |
−0.998821 | + | 0.0485474i | \(0.984541\pi\) | |||||||
\(12\) | 0.557895 | + | 0.0683999i | 0.161050 | + | 0.0197453i | ||||
\(13\) | 0.756418 | + | 1.23436i | 0.209793 | + | 0.342350i | 0.940177 | − | 0.340686i | \(-0.110659\pi\) |
−0.730385 | + | 0.683036i | \(0.760659\pi\) | |||||||
\(14\) | −4.05153 | − | 1.78228i | −1.08282 | − | 0.476335i | ||||
\(15\) | 0.0645576 | + | 0.0755872i | 0.0166687 | + | 0.0195165i | ||||
\(16\) | −3.42793 | + | 2.06137i | −0.856984 | + | 0.515344i | ||||
\(17\) | −0.587614 | − | 7.46634i | −0.142517 | − | 1.81085i | −0.488447 | − | 0.872593i | \(-0.662436\pi\) |
0.345930 | − | 0.938260i | \(-0.387564\pi\) | |||||||
\(18\) | −4.09316 | + | 0.557427i | −0.964768 | + | 0.131387i | ||||
\(19\) | 3.57340 | + | 2.18978i | 0.819794 | + | 0.502370i | 0.868057 | − | 0.496464i | \(-0.165369\pi\) |
−0.0482633 | + | 0.998835i | \(0.515369\pi\) | |||||||
\(20\) | −0.693233 | − | 0.140911i | −0.155012 | − | 0.0315087i | ||||
\(21\) | −0.868760 | − | 0.137598i | −0.189579 | − | 0.0300263i | ||||
\(22\) | −1.36518 | − | 6.28492i | −0.291057 | − | 1.33995i | ||||
\(23\) | −1.40629 | − | 1.02173i | −0.293233 | − | 0.213046i | 0.431436 | − | 0.902144i | \(-0.358007\pi\) |
−0.724669 | + | 0.689098i | \(0.758007\pi\) | |||||||
\(24\) | −0.554514 | + | 0.569530i | −0.113190 | + | 0.116255i | ||||
\(25\) | 2.86539 | + | 3.94387i | 0.573078 | + | 0.788774i | ||||
\(26\) | −2.03706 | − | 0.204938i | −0.399501 | − | 0.0401917i | ||||
\(27\) | −1.53735 | + | 0.636793i | −0.295864 | + | 0.122551i | ||||
\(28\) | 5.47424 | − | 3.03570i | 1.03453 | − | 0.573693i | ||||
\(29\) | −0.426203 | + | 5.41542i | −0.0791439 | + | 1.00562i | 0.821257 | + | 0.570558i | \(0.193273\pi\) |
−0.900401 | + | 0.435060i | \(0.856727\pi\) | |||||||
\(30\) | −0.140351 | + | 0.00798228i | −0.0256245 | + | 0.00145736i | ||||
\(31\) | 2.29687 | − | 7.06903i | 0.412530 | − | 1.26964i | −0.501912 | − | 0.864919i | \(-0.667370\pi\) |
0.914442 | − | 0.404717i | \(-0.132630\pi\) | |||||||
\(32\) | 0.613337 | − | 5.62351i | 0.108424 | − | 0.994105i | ||||
\(33\) | −0.580236 | − | 1.13878i | −0.101006 | − | 0.198236i | ||||
\(34\) | 8.90850 | + | 5.72902i | 1.52780 | + | 0.982519i | ||||
\(35\) | 1.07644 | + | 0.258430i | 0.181952 | + | 0.0436827i | ||||
\(36\) | 2.87585 | − | 5.08516i | 0.479308 | − | 0.847527i | ||||
\(37\) | −0.0407975 | − | 0.125562i | −0.00670707 | − | 0.0206423i | 0.947647 | − | 0.319320i | \(-0.103454\pi\) |
−0.954354 | + | 0.298678i | \(0.903454\pi\) | |||||||
\(38\) | −5.52376 | + | 2.14864i | −0.896073 | + | 0.348556i | ||||
\(39\) | −0.401845 | + | 0.0636460i | −0.0643467 | + | 0.0101915i | ||||
\(40\) | 0.751985 | − | 0.659829i | 0.118899 | − | 0.104328i | ||||
\(41\) | 4.51550 | − | 4.53985i | 0.705203 | − | 0.709005i | ||||
\(42\) | 0.898491 | − | 0.860271i | 0.138640 | − | 0.132743i | ||||
\(43\) | −1.66707 | − | 10.5255i | −0.254226 | − | 1.60512i | −0.702811 | − | 0.711377i | \(-0.748072\pi\) |
0.448585 | − | 0.893740i | \(-0.351928\pi\) | |||||||
\(44\) | 8.24399 | + | 3.84245i | 1.24283 | + | 0.579271i | ||||
\(45\) | 0.982611 | − | 0.319270i | 0.146479 | − | 0.0475939i | ||||
\(46\) | 2.35393 | − | 0.708681i | 0.347068 | − | 0.104489i | ||||
\(47\) | 0.405424 | − | 1.68871i | 0.0591371 | − | 0.246324i | −0.934970 | − | 0.354727i | \(-0.884574\pi\) |
0.994107 | + | 0.108403i | \(0.0345738\pi\) | |||||||
\(48\) | −0.166556 | − | 1.11174i | −0.0240402 | − | 0.160465i | ||||
\(49\) | −2.49098 | + | 1.26922i | −0.355855 | + | 0.181317i | ||||
\(50\) | −6.89251 | − | 0.149780i | −0.974748 | − | 0.0211821i | ||||
\(51\) | 2.00178 | + | 0.650419i | 0.280306 | + | 0.0910769i | ||||
\(52\) | 1.97427 | − | 2.11790i | 0.273782 | − | 0.293700i | ||||
\(53\) | −12.0624 | − | 0.949332i | −1.65690 | − | 0.130401i | −0.784807 | − | 0.619741i | \(-0.787238\pi\) |
−0.872093 | + | 0.489340i | \(0.837238\pi\) | |||||||
\(54\) | 0.598947 | − | 2.27578i | 0.0815063 | − | 0.309695i | ||||
\(55\) | 0.615568 | + | 1.48611i | 0.0830032 | + | 0.200387i | ||||
\(56\) | −1.26792 | + | 8.76116i | −0.169432 | + | 1.17076i | ||||
\(57\) | −0.952874 | + | 0.692303i | −0.126211 | + | 0.0916978i | ||||
\(58\) | −5.73185 | − | 5.11495i | −0.752629 | − | 0.671626i | ||||
\(59\) | 1.86793 | − | 2.57098i | 0.243183 | − | 0.334713i | −0.669926 | − | 0.742428i | \(-0.733674\pi\) |
0.913109 | + | 0.407715i | \(0.133674\pi\) | |||||||
\(60\) | 0.111142 | − | 0.164839i | 0.0143484 | − | 0.0212806i | ||||
\(61\) | −0.239761 | + | 1.51379i | −0.0306983 | + | 0.193821i | −0.998272 | − | 0.0587691i | \(-0.981282\pi\) |
0.967573 | + | 0.252590i | \(0.0812824\pi\) | |||||||
\(62\) | 5.99235 | + | 8.63629i | 0.761029 | + | 1.09681i | ||||
\(63\) | −4.77680 | + | 7.79503i | −0.601820 | + | 0.982081i | ||||
\(64\) | 5.80594 | + | 5.50373i | 0.725742 | + | 0.687966i | ||||
\(65\) | 0.510477 | − | 0.0401754i | 0.0633169 | − | 0.00498315i | ||||
\(66\) | 1.77866 | + | 0.321470i | 0.218938 | + | 0.0395703i | ||||
\(67\) | 4.08936 | − | 3.49264i | 0.499595 | − | 0.426694i | −0.363608 | − | 0.931552i | \(-0.618455\pi\) |
0.863203 | + | 0.504858i | \(0.168455\pi\) | |||||||
\(68\) | −14.0746 | + | 5.12558i | −1.70680 | + | 0.621568i | ||||
\(69\) | 0.416530 | − | 0.255250i | 0.0501443 | − | 0.0307285i | ||||
\(70\) | −1.21228 | + | 0.990655i | −0.144895 | + | 0.118406i | ||||
\(71\) | −5.17653 | − | 4.42117i | −0.614341 | − | 0.524696i | 0.286931 | − | 0.957951i | \(-0.407365\pi\) |
−0.901271 | + | 0.433255i | \(0.857365\pi\) | |||||||
\(72\) | 3.26336 | + | 7.59008i | 0.384591 | + | 0.894499i | ||||
\(73\) | 2.80206 | − | 2.80206i | 0.327957 | − | 0.327957i | −0.523852 | − | 0.851809i | \(-0.675506\pi\) |
0.851809 | + | 0.523852i | \(0.175506\pi\) | |||||||
\(74\) | 0.176276 | + | 0.0615407i | 0.0204917 | + | 0.00715396i | ||||
\(75\) | −1.33217 | + | 0.319825i | −0.153825 | + | 0.0369302i | ||||
\(76\) | 2.30895 | − | 8.05767i | 0.264854 | − | 0.924278i | ||||
\(77\) | −12.6822 | − | 6.46190i | −1.44527 | − | 0.736402i | ||||
\(78\) | 0.272293 | − | 0.506870i | 0.0308311 | − | 0.0573917i | ||||
\(79\) | 5.16660 | + | 2.14007i | 0.581287 | + | 0.240777i | 0.653897 | − | 0.756583i | \(-0.273133\pi\) |
−0.0726100 | + | 0.997360i | \(0.523133\pi\) | |||||||
\(80\) | 0.0991961 | + | 1.41134i | 0.0110905 | + | 0.157792i | ||||
\(81\) | 8.29541i | 0.921712i | ||||||||
\(82\) | 1.24605 | + | 8.96925i | 0.137603 | + | 0.990487i | ||||
\(83\) | 1.59911i | 0.175525i | 0.996141 | + | 0.0877625i | \(0.0279717\pi\) | ||||
−0.996141 | + | 0.0877625i | \(0.972028\pi\) | |||||||
\(84\) | 0.199456 | + | 1.74783i | 0.0217625 | + | 0.190704i | ||||
\(85\) | −2.44740 | − | 1.01375i | −0.265458 | − | 0.109956i | ||||
\(86\) | 13.2764 | + | 7.13212i | 1.43163 | + | 0.769076i | ||||
\(87\) | −1.36024 | − | 0.693077i | −0.145833 | − | 0.0743057i | ||||
\(88\) | −11.3820 | + | 5.99222i | −1.21332 | + | 0.638773i | ||||
\(89\) | 0.293320 | − | 0.0704200i | 0.0310919 | − | 0.00746451i | −0.217870 | − | 0.975978i | \(-0.569911\pi\) |
0.248961 | + | 0.968513i | \(0.419911\pi\) | |||||||
\(90\) | −0.481599 | + | 1.37948i | −0.0507650 | + | 0.145410i | ||||
\(91\) | −3.20390 | + | 3.20390i | −0.335860 | + | 0.335860i | ||||
\(92\) | −1.21693 | + | 3.25661i | −0.126874 | + | 0.339525i | ||||
\(93\) | 1.58840 | + | 1.35663i | 0.164710 | + | 0.140676i | ||||
\(94\) | 1.55413 | + | 1.90182i | 0.160296 | + | 0.196157i | ||||
\(95\) | 1.26393 | − | 0.774536i | 0.129676 | − | 0.0794657i | ||||
\(96\) | 1.39414 | + | 0.764045i | 0.142289 | + | 0.0779800i | ||||
\(97\) | 2.46358 | − | 2.10410i | 0.250139 | − | 0.213639i | −0.515534 | − | 0.856869i | \(-0.672406\pi\) |
0.765672 | + | 0.643231i | \(0.222406\pi\) | |||||||
\(98\) | 0.703190 | − | 3.89068i | 0.0710330 | − | 0.393018i | ||||
\(99\) | −13.2431 | + | 1.04225i | −1.33098 | + | 0.104750i | ||||
\(100\) | 6.06802 | − | 7.63134i | 0.606802 | − | 0.763134i | ||||
\(101\) | −4.28703 | + | 6.99580i | −0.426575 | + | 0.696108i | −0.991654 | − | 0.128929i | \(-0.958846\pi\) |
0.565078 | + | 0.825037i | \(0.308846\pi\) | |||||||
\(102\) | −2.44559 | + | 1.69689i | −0.242150 | + | 0.168017i | ||||
\(103\) | −3.02632 | + | 19.1074i | −0.298192 | + | 1.88271i | 0.149863 | + | 0.988707i | \(0.452117\pi\) |
−0.448056 | + | 0.894006i | \(0.647883\pi\) | |||||||
\(104\) | 0.694514 | + | 4.03537i | 0.0681027 | + | 0.395700i | ||||
\(105\) | −0.182869 | + | 0.251697i | −0.0178461 | + | 0.0245631i | ||||
\(106\) | 11.3931 | − | 12.7672i | 1.10660 | − | 1.24006i | ||||
\(107\) | 8.55795 | − | 6.21771i | 0.827328 | − | 0.601089i | −0.0914742 | − | 0.995807i | \(-0.529158\pi\) |
0.918802 | + | 0.394719i | \(0.129158\pi\) | |||||||
\(108\) | 2.04941 | + | 2.62217i | 0.197205 | + | 0.252318i | ||||
\(109\) | −4.08791 | − | 9.86909i | −0.391551 | − | 0.945287i | −0.989602 | − | 0.143830i | \(-0.954058\pi\) |
0.598052 | − | 0.801458i | \(-0.295942\pi\) | |||||||
\(110\) | −2.19993 | − | 0.578984i | −0.209755 | − | 0.0552039i | ||||
\(111\) | 0.0369890 | + | 0.00291110i | 0.00351084 | + | 0.000276309i | ||||
\(112\) | −8.77803 | − | 8.92622i | −0.829446 | − | 0.843448i | ||||
\(113\) | 10.6026 | + | 3.44498i | 0.997405 | + | 0.324077i | 0.761828 | − | 0.647779i | \(-0.224302\pi\) |
0.235577 | + | 0.971856i | \(0.424302\pi\) | |||||||
\(114\) | 0.0361882 | − | 1.66529i | 0.00338934 | − | 0.155969i | ||||
\(115\) | −0.547823 | + | 0.279130i | −0.0510848 | + | 0.0260290i | ||||
\(116\) | 10.6644 | − | 2.07491i | 0.990160 | − | 0.192651i | ||||
\(117\) | −0.987180 | + | 4.11190i | −0.0912648 | + | 0.380145i | ||||
\(118\) | 1.29561 | + | 4.30344i | 0.119270 | + | 0.396164i | ||||
\(119\) | 22.2932 | − | 7.24350i | 2.04362 | − | 0.664011i | ||||
\(120\) | 0.0904459 | + | 0.266211i | 0.00825655 | + | 0.0243016i | ||||
\(121\) | −1.51459 | − | 9.56276i | −0.137690 | − | 0.869342i | ||||
\(122\) | −1.49900 | − | 1.56560i | −0.135713 | − | 0.141743i | ||||
\(123\) | 0.693110 | + | 1.66067i | 0.0624956 | + | 0.149738i | ||||
\(124\) | −14.8516 | − | 0.645782i | −1.33371 | − | 0.0579929i | ||||
\(125\) | 3.44979 | − | 0.546394i | 0.308559 | − | 0.0488709i | ||||
\(126\) | −4.68706 | − | 12.0496i | −0.417556 | − | 1.07346i | ||||
\(127\) | −4.11659 | − | 12.6696i | −0.365289 | − | 1.12424i | −0.949800 | − | 0.312857i | \(-0.898714\pi\) |
0.584512 | − | 0.811385i | \(-0.301286\pi\) | |||||||
\(128\) | −11.1655 | + | 1.82556i | −0.986896 | + | 0.161358i | ||||
\(129\) | 2.91216 | + | 0.699147i | 0.256401 | + | 0.0615564i | ||||
\(130\) | −0.391696 | + | 0.609079i | −0.0343540 | + | 0.0534197i | ||||
\(131\) | 1.31193 | + | 2.57480i | 0.114623 | + | 0.224961i | 0.941190 | − | 0.337878i | \(-0.109709\pi\) |
−0.826567 | + | 0.562839i | \(0.809709\pi\) | |||||||
\(132\) | −1.88429 | + | 1.72725i | −0.164006 | + | 0.150338i | ||||
\(133\) | −4.05336 | + | 12.4750i | −0.351471 | + | 1.08172i | ||||
\(134\) | 0.431851 | + | 7.59318i | 0.0373063 | + | 0.655951i | ||||
\(135\) | −0.0461788 | + | 0.586757i | −0.00397444 | + | 0.0505000i | ||||
\(136\) | 6.27632 | − | 20.2322i | 0.538190 | − | 1.73489i | ||||
\(137\) | 6.30803 | − | 2.61287i | 0.538931 | − | 0.223233i | −0.0965786 | − | 0.995325i | \(-0.530790\pi\) |
0.635510 | + | 0.772093i | \(0.280790\pi\) | |||||||
\(138\) | −0.0691555 | + | 0.687399i | −0.00588691 | + | 0.0585153i | ||||
\(139\) | −8.45389 | − | 11.6358i | −0.717050 | − | 0.986934i | −0.999617 | − | 0.0276866i | \(-0.991186\pi\) |
0.282567 | − | 0.959248i | \(-0.408814\pi\) | |||||||
\(140\) | −0.0776639 | − | 2.21269i | −0.00656380 | − | 0.187007i | ||||
\(141\) | 0.394860 | + | 0.286883i | 0.0332532 | + | 0.0241599i | ||||
\(142\) | 9.40799 | − | 2.04355i | 0.789501 | − | 0.171491i | ||||
\(143\) | −6.50268 | − | 1.02992i | −0.543781 | − | 0.0861265i | ||||
\(144\) | −11.3380 | − | 2.82259i | −0.944835 | − | 0.235216i | ||||
\(145\) | 1.63825 | + | 1.00392i | 0.136049 | + | 0.0833710i | ||||
\(146\) | 0.756217 | + | 5.55287i | 0.0625850 | + | 0.459559i | ||||
\(147\) | −0.0616446 | − | 0.783269i | −0.00508436 | − | 0.0646030i | ||||
\(148\) | −0.220159 | + | 0.145777i | −0.0180970 | + | 0.0119828i | ||||
\(149\) | 5.11371 | + | 5.98738i | 0.418931 | + | 0.490506i | 0.929235 | − | 0.369488i | \(-0.120467\pi\) |
−0.510304 | + | 0.859994i | \(0.670467\pi\) | |||||||
\(150\) | 0.780164 | − | 1.77349i | 0.0637002 | − | 0.144805i | ||||
\(151\) | 5.30261 | + | 8.65308i | 0.431521 | + | 0.704178i | 0.992310 | − | 0.123781i | \(-0.0395021\pi\) |
−0.560789 | + | 0.827959i | \(0.689502\pi\) | |||||||
\(152\) | 7.09501 | + | 9.49607i | 0.575481 | + | 0.770233i | ||||
\(153\) | 14.2078 | − | 16.6352i | 1.14863 | − | 1.34488i | ||||
\(154\) | 18.1296 | − | 8.74669i | 1.46093 | − | 0.704829i | ||||
\(155\) | −1.85900 | − | 1.85900i | −0.149318 | − | 0.149318i | ||||
\(156\) | 0.337571 | + | 0.740383i | 0.0270273 | + | 0.0592781i | ||||
\(157\) | 3.83686 | + | 15.9817i | 0.306214 | + | 1.27547i | 0.887133 | + | 0.461513i | \(0.152693\pi\) |
−0.580919 | + | 0.813961i | \(0.697307\pi\) | |||||||
\(158\) | −6.83144 | + | 3.98480i | −0.543481 | + | 0.317013i | ||||
\(159\) | 1.54377 | − | 3.02983i | 0.122429 | − | 0.240281i | ||||
\(160\) | −1.67378 | − | 1.09631i | −0.132324 | − | 0.0866709i | ||||
\(161\) | 2.08198 | − | 5.02634i | 0.164083 | − | 0.396131i | ||||
\(162\) | −9.33891 | − | 7.10016i | −0.733734 | − | 0.557841i | ||||
\(163\) | −11.4197 | −0.894460 | −0.447230 | − | 0.894419i | \(-0.647589\pi\) | ||||
−0.447230 | + | 0.894419i | \(0.647589\pi\) | |||||||
\(164\) | −11.1640 | − | 6.27412i | −0.871764 | − | 0.489926i | ||||
\(165\) | −0.452063 | −0.0351930 | ||||||||
\(166\) | −1.80027 | − | 1.36870i | −0.139728 | − | 0.106232i | ||||
\(167\) | 6.16097 | − | 14.8739i | 0.476750 | − | 1.15098i | −0.484374 | − | 0.874861i | \(-0.660953\pi\) |
0.961124 | − | 0.276116i | \(-0.0890473\pi\) | |||||||
\(168\) | −2.13842 | − | 1.27145i | −0.164982 | − | 0.0980945i | ||||
\(169\) | 4.95040 | − | 9.71570i | 0.380800 | − | 0.747361i | ||||
\(170\) | 3.23603 | − | 1.88759i | 0.248192 | − | 0.144771i | ||||
\(171\) | 2.85782 | + | 11.9037i | 0.218543 | + | 0.910298i | ||||
\(172\) | −19.3927 | + | 8.84194i | −1.47868 | + | 0.674192i | ||||
\(173\) | −7.40958 | − | 7.40958i | −0.563340 | − | 0.563340i | 0.366915 | − | 0.930255i | \(-0.380414\pi\) |
−0.930255 | + | 0.366915i | \(0.880414\pi\) | |||||||
\(174\) | 1.94451 | − | 0.938135i | 0.147413 | − | 0.0711198i | ||||
\(175\) | −9.90894 | + | 11.6019i | −0.749045 | + | 0.877019i | ||||
\(176\) | 2.99598 | − | 17.9426i | 0.225830 | − | 1.35247i | ||||
\(177\) | 0.466647 | + | 0.761499i | 0.0350753 | + | 0.0572378i | ||||
\(178\) | −0.171779 | + | 0.390492i | −0.0128754 | + | 0.0292686i | ||||
\(179\) | 15.8219 | + | 18.5251i | 1.18259 | + | 1.38463i | 0.905804 | + | 0.423697i | \(0.139268\pi\) |
0.276782 | + | 0.960933i | \(0.410732\pi\) | |||||||
\(180\) | −1.14081 | − | 1.72290i | −0.0850306 | − | 0.128417i | ||||
\(181\) | 1.47147 | + | 18.6968i | 0.109374 | + | 1.38972i | 0.769538 | + | 0.638601i | \(0.220487\pi\) |
−0.660164 | + | 0.751121i | \(0.729513\pi\) | |||||||
\(182\) | −0.864665 | − | 6.34920i | −0.0640932 | − | 0.470634i | ||||
\(183\) | −0.367260 | − | 0.225057i | −0.0271487 | − | 0.0166367i | ||||
\(184\) | −2.62467 | − | 4.15739i | −0.193493 | − | 0.306487i | ||||
\(185\) | −0.0461224 | − | 0.00730508i | −0.00339099 | − | 0.000537080i | ||||
\(186\) | −2.88682 | + | 0.627059i | −0.211672 | + | 0.0459782i | ||||
\(187\) | 27.5551 | + | 20.0200i | 2.01503 | + | 1.46400i | ||||
\(188\) | −3.47126 | + | 0.121839i | −0.253167 | + | 0.00888599i | ||||
\(189\) | −3.06122 | − | 4.21341i | −0.222671 | − | 0.306481i | ||||
\(190\) | −0.209847 | + | 2.08586i | −0.0152239 | + | 0.151324i | ||||
\(191\) | −11.2697 | + | 4.66805i | −0.815444 | + | 0.337768i | −0.751124 | − | 0.660161i | \(-0.770488\pi\) |
−0.0643205 | + | 0.997929i | \(0.520488\pi\) | |||||||
\(192\) | −2.05342 | + | 0.915560i | −0.148193 | + | 0.0660748i | ||||
\(193\) | −0.227250 | + | 2.88749i | −0.0163578 | + | 0.207846i | 0.983307 | + | 0.181955i | \(0.0582424\pi\) |
−0.999665 | + | 0.0258913i | \(0.991758\pi\) | |||||||
\(194\) | 0.260163 | + | 4.57441i | 0.0186786 | + | 0.328423i | ||||
\(195\) | −0.0444695 | + | 0.136863i | −0.00318452 | + | 0.00980096i | ||||
\(196\) | 3.77822 | + | 4.12173i | 0.269873 | + | 0.294409i | ||||
\(197\) | −8.37864 | − | 16.4440i | −0.596953 | − | 1.17159i | −0.969847 | − | 0.243713i | \(-0.921635\pi\) |
0.372894 | − | 0.927874i | \(-0.378365\pi\) | |||||||
\(198\) | 10.1616 | − | 15.8011i | 0.722153 | − | 1.12293i | ||||
\(199\) | −16.6918 | − | 4.00735i | −1.18325 | − | 0.284074i | −0.406363 | − | 0.913712i | \(-0.633203\pi\) |
−0.776889 | + | 0.629638i | \(0.783203\pi\) | |||||||
\(200\) | 3.39760 | + | 13.3631i | 0.240247 | + | 0.944915i | ||||
\(201\) | 0.467040 | + | 1.43740i | 0.0329425 | + | 0.101387i | ||||
\(202\) | −4.20649 | − | 10.8141i | −0.295968 | − | 0.760878i | ||||
\(203\) | −16.7923 | + | 2.65964i | −1.17859 | + | 0.186670i | ||||
\(204\) | 0.182870 | − | 4.20563i | 0.0128035 | − | 0.294453i | ||||
\(205\) | −0.705655 | − | 2.15208i | −0.0492851 | − | 0.150308i | ||||
\(206\) | −18.9208 | − | 19.7614i | −1.31827 | − | 1.37684i | ||||
\(207\) | −0.794301 | − | 5.01502i | −0.0552078 | − | 0.348568i | ||||
\(208\) | −5.13743 | − | 2.67205i | −0.356217 | − | 0.185273i | ||||
\(209\) | −18.1267 | + | 5.88971i | −1.25385 | + | 0.407400i | ||||
\(210\) | −0.126839 | − | 0.421303i | −0.00875271 | − | 0.0290727i | ||||
\(211\) | 2.32449 | − | 9.68219i | 0.160024 | − | 0.666549i | −0.833460 | − | 0.552580i | \(-0.813643\pi\) |
0.993484 | − | 0.113969i | \(-0.0363566\pi\) | |||||||
\(212\) | 4.62170 | + | 23.7540i | 0.317420 | + | 1.63143i | ||||
\(213\) | 1.70465 | − | 0.868564i | 0.116801 | − | 0.0595130i | ||||
\(214\) | −0.325014 | + | 14.9563i | −0.0222175 | + | 1.02239i | ||||
\(215\) | −3.58483 | − | 1.16478i | −0.244483 | − | 0.0794374i | ||||
\(216\) | −4.70614 | + | 0.0628656i | −0.320212 | + | 0.00427747i | ||||
\(217\) | 23.1916 | + | 1.82522i | 1.57435 | + | 0.123904i | ||||
\(218\) | 14.6095 | + | 3.84496i | 0.989477 | + | 0.260413i | ||||
\(219\) | 0.426182 | + | 1.02889i | 0.0287987 | + | 0.0695262i | ||||
\(220\) | 2.53477 | − | 1.98111i | 0.170894 | − | 0.133566i | ||||
\(221\) | 8.77168 | − | 6.37300i | 0.590047 | − | 0.428695i | ||||
\(222\) | −0.0349367 | + | 0.0391503i | −0.00234480 | + | 0.00262760i | ||||
\(223\) | −3.04159 | + | 4.18639i | −0.203680 | + | 0.280342i | −0.898621 | − | 0.438725i | \(-0.855430\pi\) |
0.694941 | + | 0.719066i | \(0.255430\pi\) | |||||||
\(224\) | 17.5623 | − | 2.24216i | 1.17343 | − | 0.149811i | ||||
\(225\) | −2.22757 | + | 14.0643i | −0.148505 | + | 0.937623i | ||||
\(226\) | −12.9532 | + | 8.98768i | −0.861636 | + | 0.597852i | ||||
\(227\) | 3.57928 | − | 5.84085i | 0.237565 | − | 0.387671i | −0.711533 | − | 0.702653i | \(-0.751999\pi\) |
0.949098 | + | 0.314982i | \(0.101999\pi\) | |||||||
\(228\) | 1.84380 | + | 1.46609i | 0.122109 | + | 0.0970940i | ||||
\(229\) | 1.68617 | − | 0.132705i | 0.111425 | − | 0.00876936i | −0.0226238 | − | 0.999744i | \(-0.507202\pi\) |
0.134049 | + | 0.990975i | \(0.457202\pi\) | |||||||
\(230\) | 0.154647 | − | 0.855647i | 0.0101971 | − | 0.0564197i | ||||
\(231\) | 3.04173 | − | 2.59789i | 0.200131 | − | 0.170928i | ||||
\(232\) | −6.79185 | + | 13.7818i | −0.445907 | + | 0.904820i | ||||
\(233\) | 0.0471366 | − | 0.0288853i | 0.00308802 | − | 0.00189234i | −0.520954 | − | 0.853585i | \(-0.674424\pi\) |
0.524042 | + | 0.851693i | \(0.324424\pi\) | |||||||
\(234\) | −3.78421 | − | 4.63080i | −0.247381 | − | 0.302725i | ||||
\(235\) | −0.467100 | − | 0.398941i | −0.0304703 | − | 0.0260241i | ||||
\(236\) | −5.95371 | − | 2.22479i | −0.387554 | − | 0.144822i | ||||
\(237\) | −1.11131 | + | 1.11131i | −0.0721875 | + | 0.0721875i | ||||
\(238\) | −10.9264 | + | 31.2974i | −0.708253 | + | 2.02871i | ||||
\(239\) | 20.1990 | − | 4.84936i | 1.30657 | − | 0.313679i | 0.480373 | − | 0.877064i | \(-0.340501\pi\) |
0.826194 | + | 0.563385i | \(0.190501\pi\) | |||||||
\(240\) | −0.377113 | − | 0.126031i | −0.0243425 | − | 0.00813524i | ||||
\(241\) | 10.8081 | + | 5.50701i | 0.696212 | + | 0.354738i | 0.766015 | − | 0.642823i | \(-0.222237\pi\) |
−0.0698029 | + | 0.997561i | \(0.522237\pi\) | |||||||
\(242\) | 12.0621 | + | 6.47979i | 0.775378 | + | 0.416537i | ||||
\(243\) | −6.76591 | − | 2.80253i | −0.434033 | − | 0.179782i | ||||
\(244\) | 3.04556 | − | 0.347547i | 0.194972 | − | 0.0222494i | ||||
\(245\) | 0.988851i | 0.0631753i | ||||||||
\(246\) | −2.46282 | − | 0.641095i | −0.157023 | − | 0.0408748i | ||||
\(247\) | 6.06726i | 0.386050i | ||||||||
\(248\) | 13.4387 | − | 16.1671i | 0.853360 | − | 1.02661i | ||||
\(249\) | −0.415198 | − | 0.171981i | −0.0263121 | − | 0.0108988i | ||||
\(250\) | −2.33760 | + | 4.35142i | −0.147843 | + | 0.275208i | ||||
\(251\) | 18.6812 | + | 9.51857i | 1.17915 | + | 0.600807i | 0.929965 | − | 0.367649i | \(-0.119837\pi\) |
0.249185 | + | 0.968456i | \(0.419837\pi\) | |||||||
\(252\) | 17.5770 | + | 5.03674i | 1.10725 | + | 0.317285i | ||||
\(253\) | 7.68681 | − | 1.84544i | 0.483265 | − | 0.116022i | ||||
\(254\) | 17.7868 | + | 6.20964i | 1.11604 | + | 0.389627i | ||||
\(255\) | 0.526425 | − | 0.526425i | 0.0329660 | − | 0.0329660i | ||||
\(256\) | 7.50147 | − | 14.1325i | 0.468842 | − | 0.883282i | ||||
\(257\) | −4.28979 | − | 3.66382i | −0.267590 | − | 0.228543i | 0.505521 | − | 0.862814i | \(-0.331300\pi\) |
−0.773111 | + | 0.634271i | \(0.781300\pi\) | |||||||
\(258\) | −3.27965 | + | 2.68007i | −0.204182 | + | 0.166854i | ||||
\(259\) | 0.352318 | − | 0.215901i | 0.0218920 | − | 0.0134154i | ||||
\(260\) | −0.350438 | − | 0.962288i | −0.0217333 | − | 0.0596786i | ||||
\(261\) | −12.0657 | + | 10.3051i | −0.746849 | + | 0.637869i | ||||
\(262\) | −4.02159 | − | 0.726851i | −0.248454 | − | 0.0449050i | ||||
\(263\) | −20.1491 | + | 1.58577i | −1.24245 | + | 0.0977826i | −0.682586 | − | 0.730805i | \(-0.739145\pi\) |
−0.559859 | + | 0.828588i | \(0.689145\pi\) | |||||||
\(264\) | −0.331737 | − | 3.59970i | −0.0204170 | − | 0.221546i | ||||
\(265\) | −2.23615 | + | 3.64906i | −0.137366 | + | 0.224160i | ||||
\(266\) | −10.5749 | − | 15.2408i | −0.648389 | − | 0.934471i | ||||
\(267\) | −0.0132619 | + | 0.0837323i | −0.000811614 | + | 0.00512433i | ||||
\(268\) | −8.91798 | − | 6.01294i | −0.544752 | − | 0.367299i | ||||
\(269\) | 14.1395 | − | 19.4613i | 0.862099 | − | 1.18658i | −0.118965 | − | 0.992898i | \(-0.537958\pi\) |
0.981065 | − | 0.193680i | \(-0.0620422\pi\) | |||||||
\(270\) | −0.621042 | − | 0.554202i | −0.0377954 | − | 0.0337276i | ||||
\(271\) | −8.21433 | + | 5.96806i | −0.498985 | + | 0.362534i | −0.808629 | − | 0.588319i | \(-0.799790\pi\) |
0.309644 | + | 0.950853i | \(0.399790\pi\) | |||||||
\(272\) | 17.4052 | + | 24.3828i | 1.05535 | + | 1.47843i | ||||
\(273\) | −0.487300 | − | 1.17645i | −0.0294927 | − | 0.0712017i | ||||
\(274\) | −2.45758 | + | 9.33793i | −0.148468 | + | 0.564125i | ||||
\(275\) | −22.1014 | − | 1.73942i | −1.33277 | − | 0.104891i | ||||
\(276\) | −0.714678 | − | 0.666210i | −0.0430185 | − | 0.0401011i | ||||
\(277\) | −18.3903 | − | 5.97536i | −1.10496 | − | 0.359024i | −0.300953 | − | 0.953639i | \(-0.597305\pi\) |
−0.804011 | + | 0.594615i | \(0.797305\pi\) | |||||||
\(278\) | 20.3353 | + | 0.441904i | 1.21963 | + | 0.0265036i | ||||
\(279\) | 19.3450 | − | 9.85677i | 1.15816 | − | 0.590110i | ||||
\(280\) | 2.55751 | + | 1.80644i | 0.152840 | + | 0.107956i | ||||
\(281\) | −3.76429 | + | 15.6794i | −0.224559 | + | 0.935355i | 0.740235 | + | 0.672348i | \(0.234714\pi\) |
−0.964794 | + | 0.263007i | \(0.915286\pi\) | |||||||
\(282\) | −0.660938 | + | 0.198984i | −0.0393583 | + | 0.0118493i | ||||
\(283\) | 3.06364 | − | 0.995436i | 0.182114 | − | 0.0591725i | −0.216540 | − | 0.976274i | \(-0.569477\pi\) |
0.398655 | + | 0.917101i | \(0.369477\pi\) | |||||||
\(284\) | −5.75182 | + | 12.3406i | −0.341307 | + | 0.732277i | ||||
\(285\) | 0.0651705 | + | 0.411470i | 0.00386037 | + | 0.0243734i | ||||
\(286\) | 6.72522 | − | 6.43915i | 0.397671 | − | 0.380755i | ||||
\(287\) | 17.1155 | + | 10.4252i | 1.01029 | + | 0.615379i | ||||
\(288\) | 12.8820 | − | 10.3484i | 0.759081 | − | 0.609783i | ||||
\(289\) | −38.6103 | + | 6.11527i | −2.27119 | + | 0.359722i | ||||
\(290\) | −2.53241 | + | 0.985058i | −0.148708 | + | 0.0578446i | ||||
\(291\) | 0.281362 | + | 0.865944i | 0.0164937 | + | 0.0507625i | ||||
\(292\) | −6.89864 | − | 3.90144i | −0.403713 | − | 0.228315i | ||||
\(293\) | −23.0821 | − | 5.54151i | −1.34847 | − | 0.323739i | −0.506023 | − | 0.862520i | \(-0.668885\pi\) |
−0.842446 | + | 0.538781i | \(0.818885\pi\) | |||||||
\(294\) | 0.934562 | + | 0.601013i | 0.0545047 | + | 0.0350518i | ||||
\(295\) | −0.510304 | − | 1.00153i | −0.0297110 | − | 0.0583112i | ||||
\(296\) | 0.0243231 | − | 0.372626i | 0.00141375 | − | 0.0216585i | ||||
\(297\) | 2.33850 | − | 7.19715i | 0.135693 | − | 0.417621i | ||||
\(298\) | −11.1175 | + | 0.632289i | −0.644017 | + | 0.0366275i | ||||
\(299\) | 0.197442 | − | 2.50873i | 0.0114183 | − | 0.145084i | ||||
\(300\) | 1.32883 | + | 2.39626i | 0.0767198 | + | 0.138348i | ||||
\(301\) | 30.8144 | − | 12.7637i | 1.77611 | − | 0.735690i | ||||
\(302\) | −14.2802 | − | 1.43665i | −0.821731 | − | 0.0826700i | ||||
\(303\) | −1.35535 | − | 1.86548i | −0.0778629 | − | 0.107169i | ||||
\(304\) | −16.7633 | − | 0.140313i | −0.961443 | − | 0.00804750i | ||||
\(305\) | 0.438576 | + | 0.318644i | 0.0251128 | + | 0.0182455i | ||||
\(306\) | 6.56714 | + | 30.2334i | 0.375418 | + | 1.72833i | ||||
\(307\) | −17.8889 | − | 2.83332i | −1.02097 | − | 0.161706i | −0.376567 | − | 0.926390i | \(-0.622895\pi\) |
−0.644406 | + | 0.764683i | \(0.722895\pi\) | |||||||
\(308\) | −5.67046 | + | 27.8966i | −0.323104 | + | 1.58956i | ||||
\(309\) | −4.63565 | − | 2.84073i | −0.263713 | − | 0.161603i | ||||
\(310\) | 3.68399 | − | 0.501704i | 0.209237 | − | 0.0284949i | ||||
\(311\) | −1.16383 | − | 14.7878i | −0.0659947 | − | 0.838542i | −0.937462 | − | 0.348088i | \(-0.886831\pi\) |
0.871467 | − | 0.490454i | \(-0.163169\pi\) | |||||||
\(312\) | −1.12245 | − | 0.253669i | −0.0635462 | − | 0.0143612i | ||||
\(313\) | −18.4097 | − | 21.5550i | −1.04058 | − | 1.21836i | −0.975390 | − | 0.220485i | \(-0.929236\pi\) |
−0.0651857 | − | 0.997873i | \(-0.520764\pi\) | |||||||
\(314\) | −21.2761 | − | 9.35942i | −1.20068 | − | 0.528183i | ||||
\(315\) | 1.68958 | + | 2.75714i | 0.0951968 | + | 0.155347i | ||||
\(316\) | 1.36108 | − | 11.1014i | 0.0765665 | − | 0.624505i | ||||
\(317\) | −12.9212 | + | 15.1288i | −0.725727 | + | 0.849717i | −0.993508 | − | 0.113763i | \(-0.963710\pi\) |
0.267781 | + | 0.963480i | \(0.413710\pi\) | |||||||
\(318\) | 2.08962 | + | 4.33124i | 0.117180 | + | 0.242884i | ||||
\(319\) | −17.4684 | − | 17.4684i | −0.978044 | − | 0.978044i | ||||
\(320\) | 2.66683 | − | 0.945979i | 0.149080 | − | 0.0528818i | ||||
\(321\) | 0.694000 | + | 2.89072i | 0.0387353 | + | 0.161344i | ||||
\(322\) | 3.87662 | + | 6.64599i | 0.216036 | + | 0.370367i | ||||
\(323\) | 14.2499 | − | 27.9670i | 0.792884 | − | 1.55612i | ||||
\(324\) | 15.9866 | − | 4.43655i | 0.888146 | − | 0.246475i | ||||
\(325\) | −2.70073 | + | 6.52014i | −0.149810 | + | 0.361672i | ||||
\(326\) | 9.77429 | − | 12.8562i | 0.541348 | − | 0.712040i | ||||
\(327\) | 3.00209 | 0.166016 | ||||||||
\(328\) | 16.6188 | − | 7.19827i | 0.917620 | − | 0.397458i | ||||
\(329\) | 5.43553 | 0.299670 | ||||||||
\(330\) | 0.386927 | − | 0.508929i | 0.0212996 | − | 0.0280156i | ||||
\(331\) | 2.97659 | − | 7.18612i | 0.163608 | − | 0.394985i | −0.820720 | − | 0.571330i | \(-0.806428\pi\) |
0.984328 | + | 0.176345i | \(0.0564275\pi\) | |||||||
\(332\) | 3.08175 | − | 0.855236i | 0.169133 | − | 0.0469372i | ||||
\(333\) | 0.175078 | − | 0.343611i | 0.00959424 | − | 0.0188298i | ||||
\(334\) | 11.4717 | + | 19.6668i | 0.627702 | + | 1.07612i | ||||
\(335\) | −0.444054 | − | 1.84962i | −0.0242613 | − | 0.101055i | ||||
\(336\) | 3.26169 | − | 1.31916i | 0.177940 | − | 0.0719662i | ||||
\(337\) | −9.70401 | − | 9.70401i | −0.528611 | − | 0.528611i | 0.391547 | − | 0.920158i | \(-0.371940\pi\) |
−0.920158 | + | 0.391547i | \(0.871940\pi\) | |||||||
\(338\) | 6.70075 | + | 13.8889i | 0.364473 | + | 0.755458i | ||||
\(339\) | −2.03475 | + | 2.38239i | −0.110512 | + | 0.129393i | ||||
\(340\) | −0.644737 | + | 5.25872i | −0.0349658 | + | 0.285194i | ||||
\(341\) | 17.6618 | + | 28.8214i | 0.956439 | + | 1.56077i | ||||
\(342\) | −15.8471 | − | 6.97122i | −0.856915 | − | 0.376961i | ||||
\(343\) | 8.54587 | + | 10.0059i | 0.461434 | + | 0.540269i | ||||
\(344\) | 6.64431 | − | 29.4001i | 0.358237 | − | 1.58515i | ||||
\(345\) | −0.0135570 | − | 0.172258i | −0.000729886 | − | 0.00927408i | ||||
\(346\) | 14.6836 | − | 1.99969i | 0.789396 | − | 0.107504i | ||||
\(347\) | −11.3025 | − | 6.92618i | −0.606750 | − | 0.371817i | 0.184931 | − | 0.982752i | \(-0.440794\pi\) |
−0.791681 | + | 0.610934i | \(0.790794\pi\) | |||||||
\(348\) | −0.608190 | + | 2.99208i | −0.0326024 | + | 0.160392i | ||||
\(349\) | −2.96558 | − | 0.469702i | −0.158744 | − | 0.0251426i | 0.0765566 | − | 0.997065i | \(-0.475607\pi\) |
−0.235300 | + | 0.971923i | \(0.575607\pi\) | |||||||
\(350\) | −4.58011 | − | 21.0856i | −0.244817 | − | 1.12707i | ||||
\(351\) | −1.94891 | − | 1.41597i | −0.104025 | − | 0.0755788i | ||||
\(352\) | 17.6353 | + | 18.7302i | 0.939965 | + | 0.998320i | ||||
\(353\) | −3.21600 | − | 4.42644i | −0.171170 | − | 0.235596i | 0.714810 | − | 0.699319i | \(-0.246513\pi\) |
−0.885980 | + | 0.463723i | \(0.846513\pi\) | |||||||
\(354\) | −1.25670 | − | 0.126430i | −0.0667929 | − | 0.00671967i | ||||
\(355\) | −2.22458 | + | 0.921453i | −0.118069 | + | 0.0489057i | ||||
\(356\) | −0.292585 | − | 0.527615i | −0.0155070 | − | 0.0279635i | ||||
\(357\) | −0.516859 | + | 6.56731i | −0.0273551 | + | 0.347579i | ||||
\(358\) | −34.3976 | + | 1.95632i | −1.81797 | + | 0.103394i | ||||
\(359\) | 0.0982596 | − | 0.302412i | 0.00518594 | − | 0.0159607i | −0.948430 | − | 0.316986i | \(-0.897329\pi\) |
0.953616 | + | 0.301026i | \(0.0973290\pi\) | |||||||
\(360\) | 2.91606 | + | 0.190346i | 0.153690 | + | 0.0100321i | ||||
\(361\) | −0.651785 | − | 1.27920i | −0.0343045 | − | 0.0673263i | ||||
\(362\) | −22.3082 | − | 14.3463i | −1.17249 | − | 0.754025i | ||||
\(363\) | 2.64580 | + | 0.635200i | 0.138868 | + | 0.0333394i | ||||
\(364\) | 7.88796 | + | 4.46094i | 0.413442 | + | 0.233817i | ||||
\(365\) | −0.433128 | − | 1.33303i | −0.0226710 | − | 0.0697740i | ||||
\(366\) | 0.567712 | − | 0.220829i | 0.0296748 | − | 0.0115429i | ||||
\(367\) | 29.5898 | − | 4.68656i | 1.54457 | − | 0.244636i | 0.674767 | − | 0.738031i | \(-0.264244\pi\) |
0.869806 | + | 0.493395i | \(0.164244\pi\) | |||||||
\(368\) | 6.92686 | + | 0.603533i | 0.361087 | + | 0.0314613i | ||||
\(369\) | 18.7036 | − | 0.0502856i | 0.973669 | − | 0.00261776i | ||||
\(370\) | 0.0477009 | − | 0.0456718i | 0.00247985 | − | 0.00237436i | ||||
\(371\) | −5.92414 | − | 37.4035i | −0.307566 | − | 1.94189i | ||||
\(372\) | 1.76493 | − | 3.78667i | 0.0915074 | − | 0.196330i | ||||
\(373\) | −1.51928 | + | 0.493645i | −0.0786655 | + | 0.0255600i | −0.348085 | − | 0.937463i | \(-0.613168\pi\) |
0.269420 | + | 0.963023i | \(0.413168\pi\) | |||||||
\(374\) | −46.1232 | + | 13.8860i | −2.38497 | + | 0.718027i | ||||
\(375\) | −0.229150 | + | 0.954480i | −0.0118333 | + | 0.0492891i | ||||
\(376\) | 2.83393 | − | 4.01220i | 0.146149 | − | 0.206913i | ||||
\(377\) | −7.00697 | + | 3.57023i | −0.360877 | + | 0.183876i | ||||
\(378\) | 7.36357 | + | 0.160017i | 0.378741 | + | 0.00823038i | ||||
\(379\) | −13.1978 | − | 4.28822i | −0.677925 | − | 0.220271i | −0.0502381 | − | 0.998737i | \(-0.515998\pi\) |
−0.627686 | + | 0.778466i | \(0.715998\pi\) | |||||||
\(380\) | −2.16863 | − | 2.02156i | −0.111249 | − | 0.103704i | ||||
\(381\) | 3.73230 | + | 0.293739i | 0.191212 | + | 0.0150487i | ||||
\(382\) | 4.39062 | − | 16.6828i | 0.224643 | − | 0.853565i | ||||
\(383\) | 12.9701 | + | 31.3126i | 0.662740 | + | 1.60000i | 0.793491 | + | 0.608582i | \(0.208261\pi\) |
−0.130751 | + | 0.991415i | \(0.541739\pi\) | |||||||
\(384\) | 0.726825 | − | 3.09537i | 0.0370906 | − | 0.157960i | ||||
\(385\) | −4.07298 | + | 2.95919i | −0.207578 | + | 0.150814i | ||||
\(386\) | −3.05621 | − | 2.72728i | −0.155557 | − | 0.138815i | ||||
\(387\) | 18.2968 | − | 25.1833i | 0.930076 | − | 1.28014i | ||||
\(388\) | −5.37252 | − | 3.62241i | −0.272748 | − | 0.183900i | ||||
\(389\) | 3.79455 | − | 23.9578i | 0.192391 | − | 1.21471i | −0.682680 | − | 0.730717i | \(-0.739186\pi\) |
0.875072 | − | 0.483994i | \(-0.160814\pi\) | |||||||
\(390\) | −0.116017 | − | 0.167206i | −0.00587476 | − | 0.00846682i | ||||
\(391\) | −6.80225 | + | 11.1003i | −0.344004 | + | 0.561364i | ||||
\(392\) | −7.87406 | + | 0.725648i | −0.397700 | + | 0.0366508i | ||||
\(393\) | −0.809624 | + | 0.0637188i | −0.0408401 | + | 0.00321419i | ||||
\(394\) | 25.6839 | + | 4.64205i | 1.29394 | + | 0.233863i | ||||
\(395\) | 1.50410 | − | 1.28462i | 0.0756792 | − | 0.0646362i | ||||
\(396\) | 9.09127 | + | 24.9642i | 0.456854 | + | 1.25450i | ||||
\(397\) | 19.7829 | − | 12.1230i | 0.992876 | − | 0.608435i | 0.0716361 | − | 0.997431i | \(-0.477178\pi\) |
0.921239 | + | 0.388996i | \(0.127178\pi\) | |||||||
\(398\) | 18.7982 | − | 15.3616i | 0.942270 | − | 0.770007i | ||||
\(399\) | −2.80311 | − | 2.39409i | −0.140331 | − | 0.119854i | ||||
\(400\) | −17.9522 | − | 7.61269i | −0.897608 | − | 0.380634i | ||||
\(401\) | −17.8985 | + | 17.8985i | −0.893808 | + | 0.893808i | −0.994879 | − | 0.101071i | \(-0.967773\pi\) |
0.101071 | + | 0.994879i | \(0.467773\pi\) | |||||||
\(402\) | −2.01796 | − | 0.704503i | −0.100647 | − | 0.0351374i | ||||
\(403\) | 10.4631 | − | 2.51198i | 0.521206 | − | 0.125130i | ||||
\(404\) | 15.7749 | + | 4.52032i | 0.784828 | + | 0.224894i | ||||
\(405\) | 2.61432 | + | 1.33206i | 0.129907 | + | 0.0661908i | ||||
\(406\) | 11.3786 | − | 21.1811i | 0.564709 | − | 1.05120i | ||||
\(407\) | 0.554706 | + | 0.229767i | 0.0274958 | + | 0.0113891i | ||||
\(408\) | 4.57814 | + | 3.80553i | 0.226652 | + | 0.188402i | ||||
\(409\) | − | 6.87390i | − | 0.339892i | −0.985453 | − | 0.169946i | \(-0.945641\pi\) | ||
0.985453 | − | 0.169946i | \(-0.0543594\pi\) | |||||||
\(410\) | 3.02677 | + | 1.04757i | 0.149482 | + | 0.0517360i | ||||
\(411\) | 1.91885i | 0.0946498i | ||||||||
\(412\) | 38.4417 | − | 4.38683i | 1.89389 | − | 0.216123i | ||||
\(413\) | 9.18913 | + | 3.80626i | 0.452168 | + | 0.187294i | ||||
\(414\) | 6.32573 | + | 3.39821i | 0.310893 | + | 0.167013i | ||||
\(415\) | 0.503964 | + | 0.256783i | 0.0247386 | + | 0.0126050i | ||||
\(416\) | 7.40538 | − | 3.49664i | 0.363079 | − | 0.171437i | ||||
\(417\) | 3.93035 | − | 0.943594i | 0.192470 | − | 0.0462080i | ||||
\(418\) | 8.88428 | − | 25.4480i | 0.434544 | − | 1.24470i | ||||
\(419\) | −25.0424 | + | 25.0424i | −1.22340 | + | 1.22340i | −0.256987 | + | 0.966415i | \(0.582730\pi\) |
−0.966415 | + | 0.256987i | \(0.917270\pi\) | |||||||
\(420\) | 0.582864 | + | 0.217805i | 0.0284408 | + | 0.0106278i | ||||
\(421\) | 4.65409 | + | 3.97497i | 0.226826 | + | 0.193728i | 0.755597 | − | 0.655037i | \(-0.227347\pi\) |
−0.528771 | + | 0.848765i | \(0.677347\pi\) | |||||||
\(422\) | 8.91058 | + | 10.9040i | 0.433760 | + | 0.530799i | ||||
\(423\) | 4.32538 | − | 2.65059i | 0.210307 | − | 0.128876i | ||||
\(424\) | −30.6979 | − | 15.1283i | −1.49082 | − | 0.734695i | ||||
\(425\) | 27.7625 | − | 23.7115i | 1.34668 | − | 1.15017i | ||||
\(426\) | −0.481214 | + | 2.66250i | −0.0233149 | + | 0.128999i | ||||
\(427\) | −4.78215 | + | 0.376363i | −0.231424 | + | 0.0182135i | ||||
\(428\) | −16.5595 | − | 13.1672i | −0.800435 | − | 0.636462i | ||||
\(429\) | 0.966762 | − | 1.57761i | 0.0466757 | − | 0.0761679i | ||||
\(430\) | 4.37961 | − | 3.03882i | 0.211203 | − | 0.146545i | ||||
\(431\) | −2.16300 | + | 13.6566i | −0.104188 | + | 0.657817i | 0.879221 | + | 0.476414i | \(0.158064\pi\) |
−0.983409 | + | 0.181403i | \(0.941936\pi\) | |||||||
\(432\) | 3.95728 | − | 5.35195i | 0.190395 | − | 0.257496i | ||||
\(433\) | −22.4510 | + | 30.9011i | −1.07892 | + | 1.48501i | −0.218226 | + | 0.975898i | \(0.570027\pi\) |
−0.860699 | + | 0.509114i | \(0.829973\pi\) | |||||||
\(434\) | −21.9048 | + | 24.5467i | −1.05147 | + | 1.17828i | ||||
\(435\) | −0.436851 | + | 0.317391i | −0.0209454 | + | 0.0152177i | ||||
\(436\) | −16.8331 | + | 13.1563i | −0.806158 | + | 0.630071i | ||||
\(437\) | −2.78788 | − | 6.73054i | −0.133362 | − | 0.321965i | ||||
\(438\) | −1.52310 | − | 0.400853i | −0.0727764 | − | 0.0191535i | ||||
\(439\) | −31.2708 | − | 2.46107i | −1.49248 | − | 0.117460i | −0.694213 | − | 0.719770i | \(-0.744247\pi\) |
−0.798263 | + | 0.602309i | \(0.794247\pi\) | |||||||
\(440\) | 0.0607703 | + | 4.54928i | 0.00289711 | + | 0.216879i | ||||
\(441\) | −7.76659 | − | 2.52352i | −0.369838 | − | 0.120168i | ||||
\(442\) | −0.333131 | + | 15.3298i | −0.0158454 | + | 0.729167i | ||||
\(443\) | 8.33307 | − | 4.24591i | 0.395916 | − | 0.201729i | −0.244686 | − | 0.969602i | \(-0.578685\pi\) |
0.640602 | + | 0.767873i | \(0.278685\pi\) | |||||||
\(444\) | −0.0141723 | − | 0.0728409i | −0.000672588 | − | 0.00345687i | ||||
\(445\) | 0.0249079 | − | 0.103749i | 0.00118075 | − | 0.00491816i | ||||
\(446\) | −2.10967 | − | 7.00740i | −0.0998957 | − | 0.331810i | ||||
\(447\) | −2.10455 | + | 0.683811i | −0.0995420 | + | 0.0323431i | ||||
\(448\) | −12.5076 | + | 21.6906i | −0.590930 | + | 1.02479i | ||||
\(449\) | 3.22566 | + | 20.3660i | 0.152228 | + | 0.961132i | 0.939007 | + | 0.343897i | \(0.111747\pi\) |
−0.786779 | + | 0.617235i | \(0.788253\pi\) | |||||||
\(450\) | −13.9269 | − | 14.5457i | −0.656522 | − | 0.685689i | ||||
\(451\) | 2.36275 | + | 29.0237i | 0.111258 | + | 1.36667i | ||||
\(452\) | 0.968583 | − | 22.2753i | 0.0455583 | − | 1.04774i | ||||
\(453\) | −2.81700 | + | 0.446169i | −0.132354 | + | 0.0209629i | ||||
\(454\) | 3.51203 | + | 9.02879i | 0.164828 | + | 0.423742i | ||||
\(455\) | 0.495242 | + | 1.52420i | 0.0232173 | + | 0.0714555i | ||||
\(456\) | −3.22865 | + | 0.820891i | −0.151195 | + | 0.0384417i | ||||
\(457\) | −16.8202 | − | 4.03818i | −0.786818 | − | 0.188898i | −0.179923 | − | 0.983681i | \(-0.557585\pi\) |
−0.606894 | + | 0.794782i | \(0.707585\pi\) | |||||||
\(458\) | −1.29382 | + | 2.01186i | −0.0604563 | + | 0.0940082i | ||||
\(459\) | 5.65788 | + | 11.1042i | 0.264087 | + | 0.518301i | ||||
\(460\) | 0.830916 | + | 0.906461i | 0.0387417 | + | 0.0422640i | ||||
\(461\) | 3.05328 | − | 9.39702i | 0.142205 | − | 0.437663i | −0.854436 | − | 0.519557i | \(-0.826097\pi\) |
0.996641 | + | 0.0818943i | \(0.0260970\pi\) | |||||||
\(462\) | 0.321218 | + | 5.64793i | 0.0149444 | + | 0.262765i | ||||
\(463\) | 1.16227 | − | 14.7680i | 0.0540151 | − | 0.686326i | −0.908986 | − | 0.416828i | \(-0.863142\pi\) |
0.963001 | − | 0.269499i | \(-0.0868581\pi\) | |||||||
\(464\) | −9.70221 | − | 19.4423i | −0.450414 | − | 0.902584i | ||||
\(465\) | 0.682609 | − | 0.282746i | 0.0316552 | − | 0.0131120i | ||||
\(466\) | −0.00782598 | + | 0.0777895i | −0.000362532 | + | 0.00360353i | ||||
\(467\) | 14.4531 | + | 19.8929i | 0.668808 | + | 0.920536i | 0.999733 | − | 0.0231217i | \(-0.00736051\pi\) |
−0.330924 | + | 0.943657i | \(0.607361\pi\) | |||||||
\(468\) | 8.45228 | − | 0.296669i | 0.390707 | − | 0.0137135i | ||||
\(469\) | 13.6171 | + | 9.89342i | 0.628780 | + | 0.456836i | ||||
\(470\) | 0.848923 | − | 0.184399i | 0.0391579 | − | 0.00850567i | ||||
\(471\) | −4.56218 | − | 0.722578i | −0.210214 | − | 0.0332946i | ||||
\(472\) | 7.60053 | − | 4.79842i | 0.349843 | − | 0.220865i | ||||
\(473\) | 41.3221 | + | 25.3222i | 1.89999 | + | 1.16432i | ||||
\(474\) | −0.299919 | − | 2.20230i | −0.0137758 | − | 0.101155i | ||||
\(475\) | 1.60297 | + | 20.3676i | 0.0735491 | + | 0.934530i | ||||
\(476\) | −25.8823 | − | 39.0887i | −1.18631 | − | 1.79163i | ||||
\(477\) | −22.9538 | − | 26.8754i | −1.05098 | − | 1.23054i | ||||
\(478\) | −11.8293 | + | 26.8906i | −0.541058 | + | 1.22995i | ||||
\(479\) | 20.0821 | + | 32.7710i | 0.917574 | + | 1.49734i | 0.866813 | + | 0.498634i | \(0.166165\pi\) |
0.0507617 | + | 0.998711i | \(0.483835\pi\) | |||||||
\(480\) | 0.464661 | − | 0.316679i | 0.0212088 | − | 0.0144544i | ||||
\(481\) | 0.124129 | − | 0.145336i | 0.00565979 | − | 0.00662676i | ||||
\(482\) | −15.4506 | + | 7.45417i | −0.703754 | + | 0.339528i | ||||
\(483\) | 1.08114 | + | 1.08114i | 0.0491937 | + | 0.0491937i | ||||
\(484\) | −17.6190 | + | 8.03323i | −0.800863 | + | 0.365147i | ||||
\(485\) | −0.267514 | − | 1.11428i | −0.0121472 | − | 0.0505967i | ||||
\(486\) | 8.94611 | − | 5.21829i | 0.405804 | − | 0.236706i | ||||
\(487\) | 4.69827 | − | 9.22087i | 0.212899 | − | 0.417838i | −0.759718 | − | 0.650253i | \(-0.774663\pi\) |
0.972617 | + | 0.232415i | \(0.0746629\pi\) | |||||||
\(488\) | −2.21547 | + | 3.72614i | −0.100290 | + | 0.168674i | ||||
\(489\) | 1.22816 | − | 2.96505i | 0.0555395 | − | 0.134084i | ||||
\(490\) | −1.11324 | − | 0.846372i | −0.0502911 | − | 0.0382352i | ||||
\(491\) | −34.1778 | −1.54242 | −0.771210 | − | 0.636580i | \(-0.780348\pi\) | ||||
−0.771210 | + | 0.636580i | \(0.780348\pi\) | |||||||
\(492\) | 2.82970 | − | 2.22390i | 0.127573 | − | 0.100261i | ||||
\(493\) | 40.6838 | 1.83231 | ||||||||
\(494\) | −6.83048 | − | 5.19305i | −0.307318 | − | 0.233647i | ||||
\(495\) | −1.79809 | + | 4.34097i | −0.0808180 | + | 0.195112i | ||||
\(496\) | 6.69841 | + | 28.9669i | 0.300768 | + | 1.30065i | ||||
\(497\) | 9.67291 | − | 18.9842i | 0.433889 | − | 0.851556i | ||||
\(498\) | 0.548989 | − | 0.320226i | 0.0246008 | − | 0.0143497i | ||||
\(499\) | 8.43677 | + | 35.1417i | 0.377682 | + | 1.57316i | 0.760503 | + | 0.649334i | \(0.224952\pi\) |
−0.382821 | + | 0.923822i | \(0.625048\pi\) | |||||||
\(500\) | −2.89801 | − | 6.35610i | −0.129603 | − | 0.284253i | ||||
\(501\) | 3.19931 | + | 3.19931i | 0.142935 | + | 0.142935i | ||||
\(502\) | −26.7055 | + | 12.8841i | −1.19192 | + | 0.575047i | ||||
\(503\) | −4.13656 | + | 4.84329i | −0.184440 | + | 0.215951i | −0.844921 | − | 0.534891i | \(-0.820352\pi\) |
0.660481 | + | 0.750843i | \(0.270352\pi\) | |||||||
\(504\) | −20.7148 | + | 15.4771i | −0.922710 | + | 0.689404i | ||||
\(505\) | 1.51634 | + | 2.47445i | 0.0674764 | + | 0.110111i | ||||
\(506\) | −4.50167 | + | 10.2333i | −0.200124 | + | 0.454925i | ||||
\(507\) | 1.99021 | + | 2.33024i | 0.0883885 | + | 0.103490i | ||||
\(508\) | −22.2147 | + | 14.7093i | −0.985619 | + | 0.652620i | ||||
\(509\) | 1.16746 | + | 14.8340i | 0.0517469 | + | 0.657506i | 0.967025 | + | 0.254683i | \(0.0819711\pi\) |
−0.915278 | + | 0.402823i | \(0.868029\pi\) | |||||||
\(510\) | 0.142071 | + | 1.04322i | 0.00629100 | + | 0.0461946i | ||||
\(511\) | 10.5749 | + | 6.48031i | 0.467806 | + | 0.286672i | ||||
\(512\) | 9.48967 | + | 20.5413i | 0.419388 | + | 0.907807i | ||||
\(513\) | −6.88801 | − | 1.09095i | −0.304113 | − | 0.0481668i | ||||
\(514\) | 7.79640 | − | 1.69349i | 0.343884 | − | 0.0746967i | ||||
\(515\) | 5.53581 | + | 4.02200i | 0.243937 | + | 0.177231i | ||||
\(516\) | −0.210109 | − | 5.98612i | −0.00924952 | − | 0.263524i | ||||
\(517\) | 4.64236 | + | 6.38965i | 0.204171 | + | 0.281017i | ||||
\(518\) | −0.0584946 | + | 0.581430i | −0.00257010 | + | 0.0255466i | ||||
\(519\) | 2.72073 | − | 1.12696i | 0.119427 | − | 0.0494682i | ||||
\(520\) | 1.38328 | + | 0.429115i | 0.0606609 | + | 0.0188179i | ||||
\(521\) | −0.436680 | + | 5.54855i | −0.0191313 | + | 0.243086i | 0.979915 | + | 0.199417i | \(0.0639048\pi\) |
−0.999046 | + | 0.0436694i | \(0.986095\pi\) | |||||||
\(522\) | −1.27418 | − | 22.4038i | −0.0557694 | − | 0.980586i | ||||
\(523\) | 0.613353 | − | 1.88771i | 0.0268200 | − | 0.0825436i | −0.936751 | − | 0.349998i | \(-0.886182\pi\) |
0.963571 | + | 0.267454i | \(0.0861824\pi\) | |||||||
\(524\) | 4.26042 | − | 3.90535i | 0.186117 | − | 0.170606i | ||||
\(525\) | −1.94667 | − | 3.82055i | −0.0849595 | − | 0.166742i | ||||
\(526\) | 15.4606 | − | 24.0410i | 0.674116 | − | 1.04824i | ||||
\(527\) | −54.1295 | − | 12.9953i | −2.35792 | − | 0.566086i | ||||
\(528\) | 4.33646 | + | 2.70757i | 0.188720 | + | 0.117832i | ||||
\(529\) | −6.17366 | − | 19.0006i | −0.268420 | − | 0.826112i | ||||
\(530\) | −2.19414 | − | 5.64073i | −0.0953073 | − | 0.245018i | ||||
\(531\) | 9.16844 | − | 1.45214i | 0.397877 | − | 0.0630175i | ||||
\(532\) | 26.2092 | + | 1.13963i | 1.13631 | + | 0.0494094i | ||||
\(533\) | 9.01942 | + | 2.13974i | 0.390675 | + | 0.0926825i | ||||
\(534\) | −0.0829142 | − | 0.0865978i | −0.00358805 | − | 0.00374745i | ||||
\(535\) | −0.585309 | − | 3.69549i | −0.0253051 | − | 0.159770i | ||||
\(536\) | 14.4024 | − | 4.89324i | 0.622087 | − | 0.211356i | ||||
\(537\) | −6.51153 | + | 2.11572i | −0.280993 | + | 0.0913003i | ||||
\(538\) | 9.80724 | + | 32.5754i | 0.422820 | + | 1.40442i | ||||
\(539\) | 2.96805 | − | 12.3628i | 0.127843 | − | 0.532504i | ||||
\(540\) | 1.15548 | − | 0.224816i | 0.0497237 | − | 0.00967452i | ||||
\(541\) | 13.7629 | − | 7.01255i | 0.591714 | − | 0.301493i | −0.132375 | − | 0.991200i | \(-0.542260\pi\) |
0.724089 | + | 0.689706i | \(0.242260\pi\) | |||||||
\(542\) | 0.311964 | − | 14.3558i | 0.0134000 | − | 0.616634i | ||||
\(543\) | −5.01276 | − | 1.62874i | −0.215118 | − | 0.0698961i | ||||
\(544\) | −42.3474 | − | 1.27494i | −1.81563 | − | 0.0546624i | ||||
\(545\) | −3.76671 | − | 0.296446i | −0.161348 | − | 0.0126984i | ||||
\(546\) | 1.74152 | + | 0.458338i | 0.0745302 | + | 0.0196151i | ||||
\(547\) | 5.95274 | + | 14.3712i | 0.254521 | + | 0.614467i | 0.998559 | − | 0.0536699i | \(-0.0170919\pi\) |
−0.744038 | + | 0.668137i | \(0.767092\pi\) | |||||||
\(548\) | −8.40910 | − | 10.7592i | −0.359219 | − | 0.459610i | ||||
\(549\) | −3.62191 | + | 2.63147i | −0.154580 | + | 0.112309i | ||||
\(550\) | 20.8752 | − | 23.3928i | 0.890119 | − | 0.997474i | ||||
\(551\) | −13.3816 | + | 18.4182i | −0.570074 | + | 0.784640i | ||||
\(552\) | 1.36172 | − | 0.234361i | 0.0579585 | − | 0.00997506i | ||||
\(553\) | −2.73804 | + | 17.2873i | −0.116433 | + | 0.735130i | ||||
\(554\) | 22.4675 | − | 15.5892i | 0.954553 | − | 0.662323i | ||||
\(555\) | 0.00685708 | − | 0.0111897i | 0.000291067 | − | 0.000474978i | ||||
\(556\) | −17.9028 | + | 22.5151i | −0.759246 | + | 0.954853i | ||||
\(557\) | 20.0485 | − | 1.57785i | 0.849482 | − | 0.0668557i | 0.353759 | − | 0.935336i | \(-0.384903\pi\) |
0.495723 | + | 0.868481i | \(0.334903\pi\) | |||||||
\(558\) | −5.46099 | + | 30.2150i | −0.231182 | + | 1.27910i | ||||
\(559\) | 11.7312 | − | 10.0194i | 0.496178 | − | 0.423776i | ||||
\(560\) | −4.22269 | + | 1.33306i | −0.178441 | + | 0.0563322i | ||||
\(561\) | −8.16155 | + | 5.00140i | −0.344581 | + | 0.211159i | ||||
\(562\) | −14.4299 | − | 17.6581i | −0.608687 | − | 0.744860i | ||||
\(563\) | 21.3070 | + | 18.1979i | 0.897982 | + | 0.766949i | 0.973138 | − | 0.230222i | \(-0.0739454\pi\) |
−0.0751557 | + | 0.997172i | \(0.523945\pi\) | |||||||
\(564\) | 0.341691 | − | 0.914392i | 0.0143878 | − | 0.0385029i | ||||
\(565\) | 2.78824 | − | 2.78824i | 0.117302 | − | 0.117302i | ||||
\(566\) | −1.50156 | + | 4.30103i | −0.0631152 | + | 0.180786i | ||||
\(567\) | −25.2457 | + | 6.06095i | −1.06022 | + | 0.254536i | ||||
\(568\) | −8.96985 | − | 17.0378i | −0.376366 | − | 0.714891i | ||||
\(569\) | −26.5809 | − | 13.5437i | −1.11433 | − | 0.567780i | −0.202886 | − | 0.979202i | \(-0.565032\pi\) |
−0.911445 | + | 0.411422i | \(0.865032\pi\) | |||||||
\(570\) | −0.519011 | − | 0.278815i | −0.0217390 | − | 0.0116783i | ||||
\(571\) | −9.45143 | − | 3.91491i | −0.395530 | − | 0.163834i | 0.176048 | − | 0.984382i | \(-0.443669\pi\) |
−0.571578 | + | 0.820548i | \(0.693669\pi\) | |||||||
\(572\) | 1.49293 | + | 13.0826i | 0.0624227 | + | 0.547010i | ||||
\(573\) | − | 3.42813i | − | 0.143212i | ||||||
\(574\) | −26.3860 | + | 10.3454i | −1.10133 | + | 0.431809i | ||||
\(575\) | − | 8.47391i | − | 0.353386i | ||||||
\(576\) | 0.624203 | + | 23.3598i | 0.0260084 | + | 0.973325i | ||||
\(577\) | −27.5368 | − | 11.4061i | −1.14637 | − | 0.474843i | −0.273056 | − | 0.961998i | \(-0.588035\pi\) |
−0.873315 | + | 0.487155i | \(0.838035\pi\) | |||||||
\(578\) | 26.1626 | − | 48.7013i | 1.08822 | − | 2.02571i | ||||
\(579\) | −0.725277 | − | 0.369547i | −0.0301415 | − | 0.0153579i | ||||
\(580\) | 1.05855 | − | 3.69409i | 0.0439539 | − | 0.153389i | ||||
\(581\) | −4.86662 | + | 1.16837i | −0.201901 | + | 0.0484722i | ||||
\(582\) | −1.21570 | − | 0.424418i | −0.0503922 | − | 0.0175927i | ||||
\(583\) | 38.9095 | − | 38.9095i | 1.61147 | − | 1.61147i | ||||
\(584\) | 10.2969 | − | 4.42715i | 0.426087 | − | 0.183197i | ||||
\(585\) | 1.13736 | + | 0.971396i | 0.0470240 | + | 0.0401623i | ||||
\(586\) | 25.9949 | − | 21.2426i | 1.07384 | − | 0.877522i | ||||
\(587\) | −12.6491 | + | 7.75138i | −0.522084 | + | 0.319934i | −0.758451 | − | 0.651730i | \(-0.774043\pi\) |
0.236366 | + | 0.971664i | \(0.424043\pi\) | |||||||
\(588\) | −1.47652 | + | 0.537708i | −0.0608907 | + | 0.0221747i | ||||
\(589\) | 23.6873 | − | 20.2308i | 0.976017 | − | 0.833597i | ||||
\(590\) | 1.56429 | + | 0.282726i | 0.0644008 | + | 0.0116396i | ||||
\(591\) | 5.17068 | − | 0.406942i | 0.212693 | − | 0.0167393i | ||||
\(592\) | 0.398681 | + | 0.346319i | 0.0163857 | + | 0.0142336i | ||||
\(593\) | −10.9508 | + | 17.8700i | −0.449694 | + | 0.733835i | −0.994501 | − | 0.104727i | \(-0.966603\pi\) |
0.544807 | + | 0.838562i | \(0.316603\pi\) | |||||||
\(594\) | 6.10095 | + | 8.79281i | 0.250325 | + | 0.360773i | ||||
\(595\) | 1.29700 | − | 8.18893i | 0.0531718 | − | 0.335713i | ||||
\(596\) | 8.80377 | − | 13.0571i | 0.360616 | − | 0.534841i | ||||
\(597\) | 2.83565 | − | 3.90294i | 0.116055 | − | 0.159737i | ||||
\(598\) | 2.65532 | + | 2.36954i | 0.108584 | + | 0.0968977i | ||||
\(599\) | −0.581795 | + | 0.422699i | −0.0237715 | + | 0.0172710i | −0.599608 | − | 0.800294i | \(-0.704677\pi\) |
0.575836 | + | 0.817565i | \(0.304677\pi\) | |||||||
\(600\) | −3.83505 | − | 0.555009i | −0.156565 | − | 0.0226581i | ||||
\(601\) | −1.82675 | − | 4.41017i | −0.0745147 | − | 0.179894i | 0.882233 | − | 0.470813i | \(-0.156039\pi\) |
−0.956748 | + | 0.290918i | \(0.906039\pi\) | |||||||
\(602\) | −12.0052 | + | 45.6153i | −0.489294 | + | 1.85914i | ||||
\(603\) | 15.6604 | + | 1.23250i | 0.637742 | + | 0.0501914i | ||||
\(604\) | 13.8400 | − | 14.8469i | 0.563140 | − | 0.604110i | ||||
\(605\) | −3.25695 | − | 1.05825i | −0.132414 | − | 0.0430238i | ||||
\(606\) | 3.26021 | + | 0.0708473i | 0.132437 | + | 0.00287797i | ||||
\(607\) | 30.4206 | − | 15.5001i | 1.23473 | − | 0.629128i | 0.290018 | − | 0.957021i | \(-0.406339\pi\) |
0.944715 | + | 0.327893i | \(0.106339\pi\) | |||||||
\(608\) | 14.5059 | − | 18.7520i | 0.588294 | − | 0.760492i | ||||
\(609\) | 1.11542 | − | 4.64605i | 0.0451990 | − | 0.188268i | ||||
\(610\) | −0.734110 | + | 0.221014i | −0.0297233 | + | 0.00894858i | ||||
\(611\) | 2.39115 | − | 0.776932i | 0.0967356 | − | 0.0314313i | ||||
\(612\) | −39.6575 | − | 18.4840i | −1.60306 | − | 0.747170i | ||||
\(613\) | 2.95344 | + | 18.6473i | 0.119288 | + | 0.753157i | 0.972725 | + | 0.231960i | \(0.0745140\pi\) |
−0.853437 | + | 0.521196i | \(0.825486\pi\) | |||||||
\(614\) | 18.5011 | − | 17.7141i | 0.746644 | − | 0.714883i | ||||
\(615\) | 0.634664 | + | 0.0482326i | 0.0255921 | + | 0.00194493i | ||||
\(616\) | −26.5524 | − | 30.2609i | −1.06983 | − | 1.21925i | ||||
\(617\) | −15.7183 | + | 2.48953i | −0.632794 | + | 0.100225i | −0.464588 | − | 0.885527i | \(-0.653798\pi\) |
−0.168207 | + | 0.985752i | \(0.553798\pi\) | |||||||
\(618\) | 7.16579 | − | 2.78736i | 0.288250 | − | 0.112124i | ||||
\(619\) | −12.4248 | − | 38.2395i | −0.499394 | − | 1.53698i | −0.809995 | − | 0.586437i | \(-0.800530\pi\) |
0.310601 | − | 0.950540i | \(-0.399470\pi\) | |||||||
\(620\) | −2.58837 | + | 4.57683i | −0.103951 | + | 0.183810i | ||||
\(621\) | 2.81260 | + | 0.675246i | 0.112866 | + | 0.0270967i | ||||
\(622\) | 17.6442 | + | 11.3469i | 0.707468 | + | 0.454969i | ||||
\(623\) | 0.428623 | + | 0.841220i | 0.0171724 | + | 0.0337027i | ||||
\(624\) | 1.24630 | − | 1.04653i | 0.0498919 | − | 0.0418946i | ||||
\(625\) | −7.15036 | + | 22.0065i | −0.286014 | + | 0.880262i | ||||
\(626\) | 40.0235 | − | 2.27628i | 1.59966 | − | 0.0909785i | ||||
\(627\) | 0.420259 | − | 5.33990i | 0.0167835 | − | 0.213255i | ||||
\(628\) | 28.7473 | − | 15.9416i | 1.14714 | − | 0.636138i | ||||
\(629\) | −0.913515 | + | 0.378390i | −0.0364242 | + | 0.0150874i | ||||
\(630\) | −4.55010 | − | 0.457761i | −0.181280 | − | 0.0182376i | ||||
\(631\) | −17.5499 | − | 24.1554i | −0.698650 | − | 0.961610i | −0.999967 | − | 0.00808555i | \(-0.997426\pi\) |
0.301317 | − | 0.953524i | \(-0.402574\pi\) | |||||||
\(632\) | 11.3330 | + | 11.0342i | 0.450801 | + | 0.438916i | ||||
\(633\) | 2.26392 | + | 1.64484i | 0.0899829 | + | 0.0653764i | ||||
\(634\) | −5.97244 | − | 27.4955i | −0.237196 | − | 1.09199i | ||||
\(635\) | −4.65389 | − | 0.737104i | −0.184684 | − | 0.0292511i | ||||
\(636\) | −6.66462 | − | 1.35470i | −0.264269 | − | 0.0537172i | ||||
\(637\) | −3.45090 | − | 2.11471i | −0.136730 | − | 0.0837880i | ||||
\(638\) | 34.6173 | − | 4.71435i | 1.37051 | − | 0.186643i | ||||
\(639\) | −1.56016 | − | 19.8238i | −0.0617192 | − | 0.784216i | ||||
\(640\) | −1.21760 | + | 3.81197i | −0.0481299 | + | 0.150681i | ||||
\(641\) | 20.7531 | + | 24.2987i | 0.819696 | + | 0.959741i | 0.999714 | − | 0.0239222i | \(-0.00761540\pi\) |
−0.180017 | + | 0.983663i | \(0.557615\pi\) | |||||||
\(642\) | −3.84835 | − | 1.69291i | −0.151882 | − | 0.0668137i | ||||
\(643\) | −20.2170 | − | 32.9911i | −0.797279 | − | 1.30104i | −0.949837 | − | 0.312746i | \(-0.898751\pi\) |
0.152558 | − | 0.988295i | \(-0.451249\pi\) | |||||||
\(644\) | −10.8001 | − | 1.32413i | −0.425582 | − | 0.0521779i | ||||
\(645\) | 0.687968 | − | 0.805507i | 0.0270887 | − | 0.0317168i | ||||
\(646\) | 19.2883 | + | 39.9797i | 0.758889 | + | 1.57298i | ||||
\(647\) | 8.71002 | + | 8.71002i | 0.342426 | + | 0.342426i | 0.857279 | − | 0.514853i | \(-0.172153\pi\) |
−0.514853 | + | 0.857279i | \(0.672153\pi\) | |||||||
\(648\) | −8.68854 | + | 21.7949i | −0.341318 | + | 0.856186i | ||||
\(649\) | 3.37382 | + | 14.0530i | 0.132434 | + | 0.551628i | ||||
\(650\) | −5.02874 | − | 8.62115i | −0.197243 | − | 0.338149i | ||||
\(651\) | −2.96811 | + | 5.82525i | −0.116329 | + | 0.228309i | ||||
\(652\) | 6.10749 | + | 22.0077i | 0.239188 | + | 0.861886i | ||||
\(653\) | 3.61708 | − | 8.73240i | 0.141547 | − | 0.341725i | −0.837169 | − | 0.546945i | \(-0.815791\pi\) |
0.978716 | + | 0.205219i | \(0.0657908\pi\) | |||||||
\(654\) | −2.56953 | + | 3.37973i | −0.100477 | + | 0.132158i | ||||
\(655\) | 1.02212 | 0.0399376 | ||||||||
\(656\) | −6.12052 | + | 24.8704i | −0.238966 | + | 0.971028i | ||||
\(657\) | 11.5752 | 0.451591 | ||||||||
\(658\) | −4.65235 | + | 6.11928i | −0.181367 | + | 0.238554i | ||||
\(659\) | 7.11469 | − | 17.1764i | 0.277149 | − | 0.669097i | −0.722605 | − | 0.691261i | \(-0.757056\pi\) |
0.999754 | + | 0.0221637i | \(0.00705551\pi\) | |||||||
\(660\) | 0.241772 | + | 0.871200i | 0.00941098 | + | 0.0339114i | ||||
\(661\) | 13.5053 | − | 26.5056i | 0.525294 | − | 1.03095i | −0.464113 | − | 0.885776i | \(-0.653627\pi\) |
0.989407 | − | 0.145171i | \(-0.0463732\pi\) | |||||||
\(662\) | 5.54238 | + | 9.50173i | 0.215411 | + | 0.369295i | ||||
\(663\) | 0.711333 | + | 2.96291i | 0.0276259 | + | 0.115070i | ||||
\(664\) | −1.67489 | + | 4.20142i | −0.0649985 | + | 0.163047i | ||||
\(665\) | 3.28064 | + | 3.28064i | 0.127218 | + | 0.127218i | ||||
\(666\) | 0.236982 | + | 0.491204i | 0.00918288 | + | 0.0190338i | ||||
\(667\) | 6.13248 | − | 7.18021i | 0.237450 | − | 0.278019i | ||||
\(668\) | −31.9595 | − | 3.91835i | −1.23655 | − | 0.151605i | ||||
\(669\) | −0.759853 | − | 1.23997i | −0.0293776 | − | 0.0479399i | ||||
\(670\) | 2.46236 | + | 1.08320i | 0.0951293 | + | 0.0418478i | ||||
\(671\) | −4.52675 | − | 5.30014i | −0.174753 | − | 0.204610i | ||||
\(672\) | −1.30663 | + | 4.80108i | −0.0504042 | + | 0.185206i | ||||
\(673\) | 0.745089 | + | 9.46725i | 0.0287211 | + | 0.364936i | 0.994437 | + | 0.105334i | \(0.0335912\pi\) |
−0.965716 | + | 0.259602i | \(0.916409\pi\) | |||||||
\(674\) | 19.2305 | − | 2.61890i | 0.740731 | − | 0.100876i | ||||
\(675\) | −6.91655 | − | 4.23847i | −0.266218 | − | 0.163139i | ||||
\(676\) | −21.3713 | − | 4.34408i | −0.821974 | − | 0.167080i | ||||
\(677\) | 29.1383 | + | 4.61506i | 1.11988 | + | 0.177371i | 0.688805 | − | 0.724947i | \(-0.258136\pi\) |
0.431072 | + | 0.902318i | \(0.358136\pi\) | |||||||
\(678\) | −0.940501 | − | 4.32983i | −0.0361197 | − | 0.166286i | ||||
\(679\) | 8.20345 | + | 5.96015i | 0.314819 | + | 0.228730i | ||||
\(680\) | −5.36839 | − | 5.22685i | −0.205868 | − | 0.200441i | ||||
\(681\) | 1.13159 | + | 1.55751i | 0.0433628 | + | 0.0596838i | ||||
\(682\) | −47.5639 | − | 4.78515i | −1.82132 | − | 0.183233i | ||||
\(683\) | 37.1415 | − | 15.3845i | 1.42118 | − | 0.588672i | 0.466023 | − | 0.884772i | \(-0.345686\pi\) |
0.955157 | + | 0.296100i | \(0.0956863\pi\) | |||||||
\(684\) | 21.4120 | − | 11.8738i | 0.818707 | − | 0.454007i | ||||
\(685\) | 0.189480 | − | 2.40757i | 0.00723964 | − | 0.0919884i | ||||
\(686\) | −18.5791 | + | 1.05666i | −0.709355 | + | 0.0403435i | ||||
\(687\) | −0.146888 | + | 0.452075i | −0.00560413 | + | 0.0172477i | ||||
\(688\) | 27.4115 | + | 32.6441i | 1.04505 | + | 1.24455i | ||||
\(689\) | −7.95240 | − | 15.6075i | −0.302962 | − | 0.594597i | ||||
\(690\) | 0.205531 | + | 0.132176i | 0.00782443 | + | 0.00503186i | ||||
\(691\) | 17.5311 | + | 4.20885i | 0.666915 | + | 0.160112i | 0.552747 | − | 0.833349i | \(-0.313580\pi\) |
0.114168 | + | 0.993461i | \(0.463580\pi\) | |||||||
\(692\) | −10.3167 | + | 18.2423i | −0.392182 | + | 0.693467i | ||||
\(693\) | −12.8478 | − | 39.5416i | −0.488049 | − | 1.50206i | ||||
\(694\) | 17.4714 | − | 6.79606i | 0.663206 | − | 0.257975i | ||||
\(695\) | −5.02457 | + | 0.795813i | −0.190593 | + | 0.0301869i | ||||
\(696\) | −2.84791 | − | 3.24566i | −0.107950 | − | 0.123027i | ||||
\(697\) | −36.5494 | − | 31.0466i | −1.38441 | − | 1.17597i | ||||
\(698\) | 3.06707 | − | 2.93660i | 0.116090 | − | 0.111152i | ||||
\(699\) | 0.00243045 | + | 0.0153453i | 9.19281e−5 | + | 0.000580411i | ||||
\(700\) | 27.6582 | + | 12.8912i | 1.04538 | + | 0.487243i | ||||
\(701\) | −34.9218 | + | 11.3468i | −1.31898 | + | 0.428562i | −0.882144 | − | 0.470979i | \(-0.843901\pi\) |
−0.436835 | + | 0.899542i | \(0.643901\pi\) | |||||||
\(702\) | 3.26219 | − | 0.982126i | 0.123124 | − | 0.0370679i | ||||
\(703\) | 0.129167 | − | 0.538020i | 0.00487164 | − | 0.0202918i | ||||
\(704\) | −36.1806 | + | 3.82230i | −1.36361 | + | 0.144058i | ||||
\(705\) | 0.153818 | − | 0.0783743i | 0.00579313 | − | 0.00295175i | ||||
\(706\) | 7.73588 | + | 0.168108i | 0.291144 | + | 0.00632681i | ||||
\(707\) | −24.4228 | − | 7.93545i | −0.918514 | − | 0.298443i | ||||
\(708\) | 1.21796 | − | 1.30657i | 0.0457738 | − | 0.0491040i | ||||
\(709\) | −29.7048 | − | 2.33782i | −1.11559 | − | 0.0877985i | −0.492765 | − | 0.870163i | \(-0.664014\pi\) |
−0.622821 | + | 0.782364i | \(0.714014\pi\) | |||||||
\(710\) | 0.866689 | − | 3.29311i | 0.0325263 | − | 0.123588i | ||||
\(711\) | 6.25120 | + | 15.0917i | 0.234438 | + | 0.565984i | ||||
\(712\) | 0.844413 | + | 0.122203i | 0.0316457 | + | 0.00457977i | ||||
\(713\) | −10.4527 | + | 7.59436i | −0.391458 | + | 0.284411i | ||||
\(714\) | −6.95105 | − | 6.20293i | −0.260136 | − | 0.232139i | ||||
\(715\) | −1.36877 | + | 1.88396i | −0.0511893 | + | 0.0704560i | ||||
\(716\) | 27.2390 | − | 40.3991i | 1.01797 | − | 1.50978i | ||||
\(717\) | −0.913258 | + | 5.76609i | −0.0341063 | + | 0.215338i | ||||
\(718\) | 0.256351 | + | 0.369459i | 0.00956695 | + | 0.0137881i | ||||
\(719\) | 4.67765 | − | 7.63323i | 0.174447 | − | 0.284671i | −0.753452 | − | 0.657502i | \(-0.771613\pi\) |
0.927899 | + | 0.372831i | \(0.121613\pi\) | |||||||
\(720\) | −2.71019 | + | 3.11996i | −0.101003 | + | 0.116274i | ||||
\(721\) | −60.3614 | + | 4.75055i | −2.24798 | + | 0.176920i | ||||
\(722\) | 1.99799 | + | 0.361111i | 0.0743574 | + | 0.0134392i | ||||
\(723\) | −2.59225 | + | 2.21399i | −0.0964067 | + | 0.0823391i | ||||
\(724\) | 35.2449 | − | 12.8352i | 1.30987 | − | 0.477017i | ||||
\(725\) | −22.5790 | + | 13.8364i | −0.838561 | + | 0.513871i | ||||
\(726\) | −2.97968 | + | 2.43495i | −0.110586 | + | 0.0903693i | ||||
\(727\) | 24.1149 | + | 20.5961i | 0.894373 | + | 0.763867i | 0.972458 | − | 0.233080i | \(-0.0748803\pi\) |
−0.0780842 | + | 0.996947i | \(0.524880\pi\) | |||||||
\(728\) | −11.7735 | + | 5.06203i | −0.436356 | + | 0.187611i | ||||
\(729\) | −16.1419 | + | 16.1419i | −0.597848 | + | 0.597848i | ||||
\(730\) | 1.87144 | + | 0.653348i | 0.0692650 | + | 0.0241815i | ||||
\(731\) | −77.6071 | + | 18.6318i | −2.87040 | + | 0.689122i | ||||
\(732\) | −0.237305 | + | 0.828137i | −0.00877103 | + | 0.0306088i | ||||
\(733\) | −29.0869 | − | 14.8205i | −1.07435 | − | 0.547408i | −0.174968 | − | 0.984574i | \(-0.555982\pi\) |
−0.899381 | + | 0.437166i | \(0.855982\pi\) | |||||||
\(734\) | −20.0502 | + | 37.3232i | −0.740067 | + | 1.37763i | ||||
\(735\) | −0.256749 | − | 0.106349i | −0.00947031 | − | 0.00392273i | ||||
\(736\) | −6.60825 | + | 7.28164i | −0.243583 | + | 0.268405i | ||||
\(737\) | 24.4572i | 0.900891i | ||||||||
\(738\) | −15.9521 | + | 21.0994i | −0.587203 | + | 0.776680i | ||||
\(739\) | 8.87711i | 0.326550i | 0.986581 | + | 0.163275i | \(0.0522057\pi\) | ||||
−0.986581 | + | 0.163275i | \(0.947794\pi\) | |||||||
\(740\) | 0.0105891 | + | 0.0927925i | 0.000389264 | + | 0.00341112i | ||||
\(741\) | −1.57532 | − | 0.652520i | −0.0578710 | − | 0.0239709i | ||||
\(742\) | 47.1792 | + | 25.3449i | 1.73200 | + | 0.930440i | ||||
\(743\) | −9.12438 | − | 4.64910i | −0.334741 | − | 0.170559i | 0.278538 | − | 0.960425i | \(-0.410150\pi\) |
−0.613279 | + | 0.789866i | \(0.710150\pi\) | |||||||
\(744\) | 2.75238 | + | 5.22801i | 0.100907 | + | 0.191668i | ||||
\(745\) | 2.70810 | − | 0.650156i | 0.0992169 | − | 0.0238199i | ||||
\(746\) | 0.744635 | − | 2.13292i | 0.0272630 | − | 0.0780916i | ||||
\(747\) | −3.30292 | + | 3.30292i | −0.120847 | + | 0.120847i | ||||
\(748\) | 23.8447 | − | 63.8104i | 0.871850 | − | 2.33314i | ||||
\(749\) | 25.1753 | + | 21.5018i | 0.919886 | + | 0.785657i | ||||
\(750\) | −0.878414 | − | 1.07493i | −0.0320751 | − | 0.0392509i | ||||
\(751\) | −39.5990 | + | 24.2663i | −1.44499 | + | 0.885490i | −0.999950 | − | 0.0100212i | \(-0.996810\pi\) |
−0.445039 | + | 0.895511i | \(0.646810\pi\) | |||||||
\(752\) | 2.09130 | + | 6.62452i | 0.0762619 | + | 0.241571i | ||||
\(753\) | −4.48056 | + | 3.82676i | −0.163281 | + | 0.139455i | ||||
\(754\) | 1.97803 | − | 10.9442i | 0.0720356 | − | 0.398565i | ||||
\(755\) | 3.57853 | − | 0.281637i | 0.130236 | − | 0.0102498i | ||||
\(756\) | −6.48274 | + | 8.15290i | −0.235775 | + | 0.296518i | ||||
\(757\) | 2.16121 | − | 3.52677i | 0.0785505 | − | 0.128183i | −0.810953 | − | 0.585112i | \(-0.801051\pi\) |
0.889503 | + | 0.456929i | \(0.151051\pi\) | |||||||
\(758\) | 16.1238 | − | 11.1876i | 0.585644 | − | 0.406353i | ||||
\(759\) | −0.347543 | + | 2.19430i | −0.0126150 | + | 0.0796481i | ||||
\(760\) | 4.13202 | − | 0.711149i | 0.149884 | − | 0.0257961i | ||||
\(761\) | 25.6287 | − | 35.2749i | 0.929040 | − | 1.27871i | −0.0311925 | − | 0.999513i | \(-0.509930\pi\) |
0.960233 | − | 0.279201i | \(-0.0900695\pi\) | |||||||
\(762\) | −3.52522 | + | 3.95039i | −0.127705 | + | 0.143107i | ||||
\(763\) | 27.0481 | − | 19.6516i | 0.979208 | − | 0.711436i | ||||
\(764\) | 15.0234 | + | 19.2219i | 0.543526 | + | 0.695426i | ||||
\(765\) | −2.96117 | − | 7.14890i | −0.107061 | − | 0.258469i | ||||
\(766\) | −46.3527 | − | 12.1992i | −1.67479 | − | 0.440776i | ||||
\(767\) | 4.58646 | + | 0.360962i | 0.165607 | + | 0.0130336i | ||||
\(768\) | 2.86265 | + | 3.46763i | 0.103297 | + | 0.125127i | ||||
\(769\) | −5.82396 | − | 1.89232i | −0.210018 | − | 0.0682388i | 0.202119 | − | 0.979361i | \(-0.435217\pi\) |
−0.412136 | + | 0.911122i | \(0.635217\pi\) | |||||||
\(770\) | 0.154684 | − | 7.11814i | 0.00557441 | − | 0.256520i | ||||
\(771\) | 1.41265 | − | 0.719779i | 0.0508752 | − | 0.0259222i | ||||
\(772\) | 5.68621 | − | 1.10634i | 0.204651 | − | 0.0398180i | ||||
\(773\) | −1.89206 | + | 7.88100i | −0.0680527 | + | 0.283460i | −0.996012 | − | 0.0892224i | \(-0.971562\pi\) |
0.927959 | + | 0.372682i | \(0.121562\pi\) | |||||||
\(774\) | 12.6907 | + | 42.1531i | 0.456160 | + | 1.51516i | ||||
\(775\) | 34.4608 | − | 11.1970i | 1.23787 | − | 0.402208i | ||||
\(776\) | 8.67650 | − | 2.94786i | 0.311468 | − | 0.105822i | ||||
\(777\) | 0.0181662 | + | 0.114697i | 0.000651708 | + | 0.00411472i | ||||
\(778\) | 23.7238 | + | 24.7777i | 0.850538 | + | 0.888325i | ||||
\(779\) | 26.0770 | − | 6.33472i | 0.934304 | − | 0.226965i | ||||
\(780\) | 0.287541 | + | 0.0125029i | 0.0102956 | + | 0.000447677i | ||||
\(781\) | 30.5780 | − | 4.84307i | 1.09417 | − | 0.173299i | ||||
\(782\) | −6.67445 | − | 17.1588i | −0.238678 | − | 0.613597i | ||||
\(783\) | −2.79328 | − | 8.59682i | −0.0998235 | − | 0.307225i | ||||
\(784\) | 5.92259 | − | 9.48565i | 0.211521 | − | 0.338773i | ||||
\(785\) | 5.65278 | + | 1.35711i | 0.201757 | + | 0.0484375i | ||||
\(786\) | 0.621235 | − | 0.966007i | 0.0221587 | − | 0.0344563i | ||||
\(787\) | −13.8300 | − | 27.1429i | −0.492986 | − | 0.967540i | −0.994731 | − | 0.102524i | \(-0.967308\pi\) |
0.501744 | − | 0.865016i | \(-0.332692\pi\) | |||||||
\(788\) | −27.2093 | + | 24.9416i | −0.969290 | + | 0.888508i | ||||
\(789\) | 1.75526 | − | 5.40212i | 0.0624888 | − | 0.192321i | ||||
\(790\) | 0.158838 | + | 2.79282i | 0.00565120 | + | 0.0993642i | ||||
\(791\) | −2.73757 | + | 34.7841i | −0.0973368 | + | 1.23678i | ||||
\(792\) | −35.8859 | − | 11.1323i | −1.27515 | − | 0.395571i | ||||
\(793\) | −2.04993 | + | 0.849107i | −0.0727950 | + | 0.0301527i | ||||
\(794\) | −3.28451 | + | 32.6477i | −0.116563 | + | 1.15862i | ||||
\(795\) | −0.706963 | − | 0.973051i | −0.0250734 | − | 0.0345106i | ||||
\(796\) | 1.20430 | + | 34.3111i | 0.0426851 | + | 1.21613i | ||||
\(797\) | 17.7010 | + | 12.8605i | 0.627002 | + | 0.455544i | 0.855360 | − | 0.518034i | \(-0.173336\pi\) |
−0.228358 | + | 0.973577i | \(0.573336\pi\) | |||||||
\(798\) | 5.09447 | − | 1.10659i | 0.180342 | − | 0.0391730i | ||||
\(799\) | −12.8467 | − | 2.03472i | −0.454485 | − | 0.0719833i | ||||
\(800\) | 23.9358 | − | 13.6946i | 0.846260 | − | 0.484178i | ||||
\(801\) | 0.751296 | + | 0.460395i | 0.0265457 | + | 0.0162672i | ||||
\(802\) | −4.83042 | − | 35.4696i | −0.170568 | − | 1.25247i | ||||
\(803\) | 1.41394 | + | 17.9659i | 0.0498970 | + | 0.634002i | ||||
\(804\) | 2.52033 | − | 1.66882i | 0.0888852 | − | 0.0588546i | ||||
\(805\) | −1.24974 | − | 1.46326i | −0.0440477 | − | 0.0515733i | ||||
\(806\) | −6.12758 | + | 13.9294i | −0.215835 | + | 0.490641i | ||||
\(807\) | 3.53234 | + | 5.76425i | 0.124344 | + | 0.202911i | ||||
\(808\) | −18.5909 | + | 13.8902i | −0.654025 | + | 0.488656i | ||||
\(809\) | 5.29284 | − | 6.19713i | 0.186087 | − | 0.217879i | −0.659519 | − | 0.751688i | \(-0.729240\pi\) |
0.845605 | + | 0.533809i | \(0.179240\pi\) | |||||||
\(810\) | −3.73727 | + | 1.80305i | −0.131314 | + | 0.0633529i | ||||
\(811\) | 24.1486 | + | 24.1486i | 0.847972 | + | 0.847972i | 0.989880 | − | 0.141908i | \(-0.0453238\pi\) |
−0.141908 | + | 0.989880i | \(0.545324\pi\) | |||||||
\(812\) | 14.1064 | + | 30.9391i | 0.495039 | + | 1.08575i | ||||
\(813\) | −0.666134 | − | 2.77465i | −0.0233624 | − | 0.0973112i | ||||
\(814\) | −0.733451 | + | 0.427823i | −0.0257074 | + | 0.0149952i | ||||
\(815\) | −1.83376 | + | 3.59895i | −0.0642338 | + | 0.126066i | ||||
\(816\) | −8.20274 | + | 1.89683i | −0.287153 | + | 0.0664024i | ||||
\(817\) | 17.0913 | − | 41.2622i | 0.597951 | − | 1.44358i | ||||
\(818\) | 7.73859 | + | 5.88347i | 0.270573 | + | 0.205711i | ||||
\(819\) | −13.2351 | −0.462473 | ||||||||
\(820\) | −3.77001 | + | 2.51089i | −0.131654 | + | 0.0876840i | ||||
\(821\) | 21.7380 | 0.758663 | 0.379331 | − | 0.925261i | \(-0.376154\pi\) | ||||
0.379331 | + | 0.925261i | \(0.376154\pi\) | |||||||
\(822\) | −2.16023 | − | 1.64237i | −0.0753465 | − | 0.0572842i | ||||
\(823\) | −5.88546 | + | 14.2087i | −0.205154 | + | 0.495286i | −0.992648 | − | 0.121037i | \(-0.961378\pi\) |
0.787494 | + | 0.616322i | \(0.211378\pi\) | |||||||
\(824\) | −27.9642 | + | 47.0322i | −0.974179 | + | 1.63844i | ||||
\(825\) | 2.82859 | − | 5.55142i | 0.0984788 | − | 0.193276i | ||||
\(826\) | −12.1502 | + | 7.08722i | −0.422759 | + | 0.246596i | ||||
\(827\) | −0.927387 | − | 3.86284i | −0.0322484 | − | 0.134324i | 0.953923 | − | 0.300050i | \(-0.0970034\pi\) |
−0.986172 | + | 0.165726i | \(0.947003\pi\) | |||||||
\(828\) | −9.23997 | + | 4.21289i | −0.321111 | + | 0.146408i | ||||
\(829\) | 29.8144 | + | 29.8144i | 1.03550 | + | 1.03550i | 0.999346 | + | 0.0361510i | \(0.0115097\pi\) |
0.0361510 | + | 0.999346i | \(0.488490\pi\) | |||||||
\(830\) | −0.720434 | + | 0.347575i | −0.0250066 | + | 0.0120645i | ||||
\(831\) | 3.52929 | − | 4.13227i | 0.122430 | − | 0.143347i | ||||
\(832\) | −2.40188 | + | 11.3298i | −0.0832702 | + | 0.392788i | ||||
\(833\) | 10.9402 | + | 17.8527i | 0.379054 | + | 0.618560i | ||||
\(834\) | −2.30175 | + | 5.23240i | −0.0797032 | + | 0.181183i | ||||
\(835\) | −3.69824 | − | 4.33008i | −0.127983 | − | 0.149848i | ||||
\(836\) | 21.0450 | + | 31.7831i | 0.727855 | + | 1.09924i | ||||
\(837\) | 0.970410 | + | 12.3302i | 0.0335423 | + | 0.426195i | ||||
\(838\) | −6.75841 | − | 49.6267i | −0.233465 | − | 1.71433i | ||||
\(839\) | −23.4891 | − | 14.3942i | −0.810935 | − | 0.496942i | 0.0541701 | − | 0.998532i | \(-0.482749\pi\) |
−0.865106 | + | 0.501590i | \(0.832749\pi\) | |||||||
\(840\) | −0.744085 | + | 0.469761i | −0.0256734 | + | 0.0162083i | ||||
\(841\) | −0.502154 | − | 0.0795333i | −0.0173156 | − | 0.00274253i | ||||
\(842\) | −8.45849 | + | 1.83731i | −0.291499 | + | 0.0633178i | ||||
\(843\) | −3.66621 | − | 2.66366i | −0.126271 | − | 0.0917414i | ||||
\(844\) | −19.9024 | + | 0.698559i | −0.685068 | + | 0.0240454i | ||||
\(845\) | −2.26701 | − | 3.12027i | −0.0779874 | − | 0.107340i | ||||
\(846\) | −0.718132 | + | 7.13816i | −0.0246899 | + | 0.245415i | ||||
\(847\) | 27.9960 | − | 11.5963i | 0.961955 | − | 0.398455i | ||||
\(848\) | 43.3061 | − | 21.6109i | 1.48714 | − | 0.742122i | ||||
\(849\) | −0.0710291 | + | 0.902511i | −0.00243771 | + | 0.0309741i | ||||
\(850\) | 2.93182 | + | 51.5499i | 0.100561 | + | 1.76815i | ||||
\(851\) | −0.0709174 | + | 0.218261i | −0.00243102 | + | 0.00748190i | ||||
\(852\) | −2.58555 | − | 2.82062i | −0.0885794 | − | 0.0966329i | ||||
\(853\) | −21.5186 | − | 42.2326i | −0.736782 | − | 1.44602i | −0.889113 | − | 0.457687i | \(-0.848678\pi\) |
0.152331 | − | 0.988329i | \(-0.451322\pi\) | |||||||
\(854\) | 3.66940 | − | 5.70584i | 0.125564 | − | 0.195250i | ||||
\(855\) | 4.21039 | + | 1.01083i | 0.143992 | + | 0.0345695i | ||||
\(856\) | 28.9971 | − | 7.37258i | 0.991101 | − | 0.251990i | ||||
\(857\) | 10.2692 | + | 31.6054i | 0.350790 | + | 1.07962i | 0.958411 | + | 0.285393i | \(0.0921241\pi\) |
−0.607621 | + | 0.794227i | \(0.707876\pi\) | |||||||
\(858\) | 0.948599 | + | 2.43868i | 0.0323847 | + | 0.0832550i | ||||
\(859\) | 8.54367 | − | 1.35319i | 0.291506 | − | 0.0461701i | −0.00896856 | − | 0.999960i | \(-0.502855\pi\) |
0.300475 | + | 0.953790i | \(0.402855\pi\) | |||||||
\(860\) | −0.327487 | + | 7.53150i | −0.0111672 | + | 0.256822i | ||||
\(861\) | −4.54756 | + | 3.32271i | −0.154980 | + | 0.113238i | ||||
\(862\) | −13.5232 | − | 14.1240i | −0.460602 | − | 0.481065i | ||||
\(863\) | −2.58666 | − | 16.3315i | −0.0880509 | − | 0.555931i | −0.991793 | − | 0.127854i | \(-0.959191\pi\) |
0.903742 | − | 0.428077i | \(-0.140809\pi\) | |||||||
\(864\) | 2.63809 | + | 9.03589i | 0.0897497 | + | 0.307407i | ||||
\(865\) | −3.52497 | + | 1.14533i | −0.119853 | + | 0.0389425i | ||||
\(866\) | −15.5721 | − | 51.7239i | −0.529163 | − | 1.75765i | ||||
\(867\) | 2.56466 | − | 10.6826i | 0.0871005 | − | 0.362800i | ||||
\(868\) | −8.88584 | − | 45.6702i | −0.301605 | − | 1.55015i | ||||
\(869\) | −22.6603 | + | 11.5460i | −0.768698 | + | 0.391671i | ||||
\(870\) | 0.0165907 | − | 0.763463i | 0.000562478 | − | 0.0258838i | ||||
\(871\) | 7.40445 | + | 2.40585i | 0.250890 | + | 0.0815192i | ||||
\(872\) | −0.403568 | − | 30.2112i | −0.0136665 | − | 1.02308i | ||||
\(873\) | 9.43441 | + | 0.742504i | 0.319306 | + | 0.0251300i | ||||
\(874\) | 9.96338 | + | 2.62219i | 0.337016 | + | 0.0886968i | ||||
\(875\) | 4.18341 | + | 10.0996i | 0.141425 | + | 0.341430i | ||||
\(876\) | 1.75492 | − | 1.37160i | 0.0592932 | − | 0.0463419i | ||||
\(877\) | 4.18121 | − | 3.03783i | 0.141189 | − | 0.102580i | −0.514948 | − | 0.857221i | \(-0.672189\pi\) |
0.656138 | + | 0.754641i | \(0.272189\pi\) | |||||||
\(878\) | 29.5358 | − | 33.0980i | 0.996786 | − | 1.11700i | ||||
\(879\) | 3.92124 | − | 5.39713i | 0.132260 | − | 0.182041i | ||||
\(880\) | −5.17356 | − | 3.82538i | −0.174401 | − | 0.128954i | ||||
\(881\) | 1.18396 | − | 7.47526i | 0.0398888 | − | 0.251848i | −0.959684 | − | 0.281082i | \(-0.909307\pi\) |
0.999573 | + | 0.0292339i | \(0.00930677\pi\) | |||||||
\(882\) | 9.48850 | − | 6.58366i | 0.319494 | − | 0.221683i | ||||
\(883\) | −23.9799 | + | 39.1316i | −0.806988 | + | 1.31688i | 0.138216 | + | 0.990402i | \(0.455863\pi\) |
−0.945203 | + | 0.326482i | \(0.894137\pi\) | |||||||
\(884\) | −16.9731 | − | 13.4961i | −0.570867 | − | 0.453922i | ||||
\(885\) | 0.314922 | − | 0.0247849i | 0.0105860 | − | 0.000833136i | ||||
\(886\) | −2.35238 | + | 13.0155i | −0.0790297 | + | 0.437263i | ||||
\(887\) | −12.8348 | + | 10.9620i | −0.430951 | + | 0.368067i | −0.838303 | − | 0.545204i | \(-0.816452\pi\) |
0.407352 | + | 0.913271i | \(0.366452\pi\) | |||||||
\(888\) | 0.0941340 | + | 0.0463905i | 0.00315893 | + | 0.00155676i | ||||
\(889\) | 35.5500 | − | 21.7850i | 1.19231 | − | 0.730647i | ||||
\(890\) | 0.0954807 | + | 0.116841i | 0.00320052 | + | 0.00391653i | ||||
\(891\) | −28.6866 | − | 24.5007i | −0.961037 | − | 0.820803i | ||||
\(892\) | 9.69458 | + | 3.62268i | 0.324598 | + | 0.121296i | ||||
\(893\) | 5.14665 | − | 5.14665i | 0.172226 | − | 0.172226i | ||||
\(894\) | 1.03149 | − | 2.95458i | 0.0344981 | − | 0.0988158i | ||||
\(895\) | 8.37890 | − | 2.01160i | 0.280076 | − | 0.0672402i | ||||
\(896\) | −13.7137 | − | 32.6463i | −0.458143 | − | 1.09064i | ||||
\(897\) | 0.630142 | + | 0.321073i | 0.0210398 | + | 0.0107203i | ||||
\(898\) | −25.6888 | − | 13.8002i | −0.857247 | − | 0.460517i | ||||
\(899\) | 37.3028 | + | 15.4513i | 1.24412 | + | 0.515331i | ||||
\(900\) | 28.2957 | − | 3.22899i | 0.943189 | − | 0.107633i | ||||
\(901\) | 90.6199i | 3.01899i | ||||||||
\(902\) | −34.6970 | − | 22.1819i | −1.15529 | − | 0.738576i | ||||
\(903\) | 9.37348i | 0.311930i | ||||||||
\(904\) | 24.2484 | + | 20.1562i | 0.806490 | + | 0.670386i | ||||
\(905\) | 6.12864 | + | 2.53857i | 0.203723 | + | 0.0843848i | ||||
\(906\) | 1.90882 | − | 3.55324i | 0.0634162 | − | 0.118049i | ||||
\(907\) | 15.1092 | + | 7.69851i | 0.501692 | + | 0.255625i | 0.686473 | − | 0.727155i | \(-0.259158\pi\) |
−0.184782 | + | 0.982780i | \(0.559158\pi\) | |||||||
\(908\) | −13.1706 | − | 3.77405i | −0.437080 | − | 0.125246i | ||||
\(909\) | −23.3044 | + | 5.59488i | −0.772957 | + | 0.185571i | ||||
\(910\) | −2.13982 | − | 0.747043i | −0.0709342 | − | 0.0247642i | ||||
\(911\) | −7.31085 | + | 7.31085i | −0.242219 | + | 0.242219i | −0.817768 | − | 0.575548i | \(-0.804789\pi\) |
0.575548 | + | 0.817768i | \(0.304789\pi\) | |||||||
\(912\) | 1.83929 | − | 4.33740i | 0.0609050 | − | 0.143626i | ||||
\(913\) | −5.52993 | − | 4.72300i | −0.183014 | − | 0.156309i | ||||
\(914\) | 18.9429 | − | 15.4798i | 0.626574 | − | 0.512025i | ||||
\(915\) | −0.129902 | + | 0.0796038i | −0.00429442 | + | 0.00263162i | ||||
\(916\) | −1.15754 | − | 3.17856i | −0.0382463 | − | 0.105022i | ||||
\(917\) | −6.87742 | + | 5.87387i | −0.227112 | + | 0.193972i | ||||
\(918\) | −17.3437 | − | 3.13466i | −0.572428 | − | 0.103459i | ||||
\(919\) | −12.3966 | + | 0.975637i | −0.408927 | + | 0.0321833i | −0.281255 | − | 0.959633i | \(-0.590751\pi\) |
−0.127673 | + | 0.991816i | \(0.540751\pi\) | |||||||
\(920\) | −1.73168 | + | 0.159586i | −0.0570918 | + | 0.00526140i | ||||
\(921\) | 2.65957 | − | 4.34002i | 0.0876357 | − | 0.143008i | ||||
\(922\) | 7.96575 | + | 11.4804i | 0.262338 | + | 0.378087i | ||||
\(923\) | 1.54171 | − | 9.73396i | 0.0507459 | − | 0.320397i | ||||
\(924\) | −6.63334 | − | 4.47252i | −0.218221 | − | 0.147135i | ||||
\(925\) | 0.378299 | − | 0.520684i | 0.0124384 | − | 0.0171200i | ||||
\(926\) | 15.6309 | + | 13.9486i | 0.513663 | + | 0.458380i | ||||
\(927\) | −45.7167 | + | 33.2151i | −1.50153 | + | 1.09093i | ||||
\(928\) | 30.1922 | + | 5.71823i | 0.991109 | + | 0.187710i | ||||
\(929\) | −7.69082 | − | 18.5673i | −0.252328 | − | 0.609173i | 0.746063 | − | 0.665875i | \(-0.231942\pi\) |
−0.998391 | + | 0.0567018i | \(0.981942\pi\) | |||||||
\(930\) | −0.265941 | + | 1.01048i | −0.00872056 | + | 0.0331350i | ||||
\(931\) | −11.6806 | − | 0.919282i | −0.382816 | − | 0.0301283i | ||||
\(932\) | −0.0808765 | − | 0.0753916i | −0.00264920 | − | 0.00246953i | ||||
\(933\) | 3.96474 | + | 1.28822i | 0.129800 | + | 0.0421745i | ||||
\(934\) | −34.7659 | − | 0.755494i | −1.13758 | − | 0.0247205i | ||||
\(935\) | 10.7341 | − | 5.46930i | 0.351043 | − | 0.178865i | ||||
\(936\) | −6.90044 | + | 9.76944i | −0.225548 | + | 0.319324i | ||||
\(937\) | 0.914826 | − | 3.81052i | 0.0298861 | − | 0.124484i | −0.955433 | − | 0.295209i | \(-0.904611\pi\) |
0.985319 | + | 0.170724i | \(0.0546108\pi\) | |||||||
\(938\) | −22.7930 | + | 6.86214i | −0.744219 | + | 0.224057i | ||||
\(939\) | 7.57652 | − | 2.46176i | 0.247250 | − | 0.0803366i | ||||
\(940\) | −0.519011 | + | 1.11354i | −0.0169283 | + | 0.0363197i | ||||
\(941\) | −5.58282 | − | 35.2486i | −0.181995 | − | 1.14907i | −0.894389 | − | 0.447291i | \(-0.852389\pi\) |
0.712394 | − | 0.701780i | \(-0.247611\pi\) | |||||||
\(942\) | 4.71831 | − | 4.51760i | 0.153731 | − | 0.147191i | ||||
\(943\) | −10.9886 | + | 1.77073i | −0.357839 | + | 0.0576628i | ||||
\(944\) | −1.10338 | + | 12.6637i | −0.0359118 | + | 0.412167i | ||||
\(945\) | −1.81944 | + | 0.288170i | −0.0591863 | + | 0.00937418i | ||||
\(946\) | −63.8758 | + | 24.8465i | −2.07678 | + | 0.807829i | ||||
\(947\) | 4.22656 | + | 13.0080i | 0.137345 | + | 0.422703i | 0.995947 | − | 0.0899383i | \(-0.0286670\pi\) |
−0.858603 | + | 0.512642i | \(0.828667\pi\) | |||||||
\(948\) | 2.73604 | + | 1.54733i | 0.0888623 | + | 0.0502550i | ||||
\(949\) | 5.57829 | + | 1.33923i | 0.181079 | + | 0.0434732i | ||||
\(950\) | −24.3017 | − | 15.6283i | −0.788452 | − | 0.507050i | ||||
\(951\) | −2.53844 | − | 4.98197i | −0.0823146 | − | 0.161552i | ||||
\(952\) | 66.1589 | + | 4.31851i | 2.14422 | + | 0.139964i | ||||
\(953\) | 4.24992 | − | 13.0799i | 0.137668 | − | 0.423699i | −0.858327 | − | 0.513103i | \(-0.828496\pi\) |
0.995996 | + | 0.0894033i | \(0.0284960\pi\) | |||||||
\(954\) | 49.9026 | − | 2.83814i | 1.61566 | − | 0.0918881i | ||||
\(955\) | −0.338516 | + | 4.30126i | −0.0109541 | + | 0.139185i | ||||
\(956\) | −20.1484 | − | 36.3334i | −0.651645 | − | 1.17510i | ||||
\(957\) | 6.41425 | − | 2.65687i | 0.207343 | − | 0.0858844i | ||||
\(958\) | −54.0819 | − | 5.44089i | −1.74731 | − | 0.175787i | ||||
\(959\) | 12.5607 | + | 17.2884i | 0.405607 | + | 0.558270i | ||||
\(960\) | −0.0411943 | + | 0.794162i | −0.00132954 | + | 0.0256315i | ||||
\(961\) | −19.6161 | − | 14.2519i | −0.632777 | − | 0.459740i | ||||
\(962\) | 0.0573748 | + | 0.264139i | 0.00184984 | + | 0.00851617i | ||||
\(963\) | 30.5187 | + | 4.83369i | 0.983452 | + | 0.155763i | ||||
\(964\) | 4.83252 | − | 23.7743i | 0.155645 | − | 0.765718i | ||||
\(965\) | 0.873509 | + | 0.535287i | 0.0281193 | + | 0.0172315i | ||||
\(966\) | −2.14251 | + | 0.291777i | −0.0689341 | + | 0.00938778i | ||||
\(967\) | 2.07558 | + | 26.3728i | 0.0667463 | + | 0.848092i | 0.935609 | + | 0.353038i | \(0.114851\pi\) |
−0.868863 | + | 0.495053i | \(0.835149\pi\) | |||||||
\(968\) | 6.03659 | − | 26.7111i | 0.194023 | − | 0.858527i | ||||
\(969\) | 5.72889 | + | 6.70767i | 0.184039 | + | 0.215482i | ||||
\(970\) | 1.48342 | + | 0.652561i | 0.0476296 | + | 0.0209525i | ||||
\(971\) | 10.3138 | + | 16.8307i | 0.330987 | + | 0.540122i | 0.974235 | − | 0.225536i | \(-0.0724134\pi\) |
−0.643248 | + | 0.765658i | \(0.722413\pi\) | |||||||
\(972\) | −1.78240 | + | 14.5379i | −0.0571704 | + | 0.466303i | ||||
\(973\) | 29.2348 | − | 34.2295i | 0.937224 | − | 1.09735i | ||||
\(974\) | 6.35948 | + | 13.1816i | 0.203771 | + | 0.422364i | ||||
\(975\) | −1.40245 | − | 1.40245i | −0.0449145 | − | 0.0449145i | ||||
\(976\) | −2.29861 | − | 5.68342i | −0.0735766 | − | 0.181922i | ||||
\(977\) | 5.26770 | + | 21.9415i | 0.168529 | + | 0.701972i | 0.991079 | + | 0.133279i | \(0.0425507\pi\) |
−0.822550 | + | 0.568693i | \(0.807449\pi\) | |||||||
\(978\) | 2.28683 | + | 3.92049i | 0.0731248 | + | 0.125363i | ||||
\(979\) | −0.622807 | + | 1.22233i | −0.0199050 | + | 0.0390658i | ||||
\(980\) | 1.90568 | − | 0.528857i | 0.0608747 | − | 0.0168937i | ||||
\(981\) | 11.9409 | − | 28.8278i | 0.381243 | − | 0.920401i | ||||
\(982\) | 29.2532 | − | 38.4771i | 0.933509 | − | 1.22785i | ||||
\(983\) | 37.1487 | 1.18486 | 0.592430 | − | 0.805622i | \(-0.298169\pi\) | ||||
0.592430 | + | 0.805622i | \(0.298169\pi\) | |||||||
\(984\) | 0.0816670 | + | 5.08912i | 0.00260345 | + | 0.162235i | ||||
\(985\) | −6.52781 | −0.207993 | ||||||||
\(986\) | −34.8219 | + | 45.8016i | −1.10895 | + | 1.45862i | ||||
\(987\) | −0.584579 | + | 1.41130i | −0.0186074 | + | 0.0449221i | ||||
\(988\) | 11.6926 | − | 3.24489i | 0.371991 | − | 0.103234i | ||||
\(989\) | −8.40981 | + | 16.5052i | −0.267416 | + | 0.524834i | ||||
\(990\) | −3.34802 | − | 5.73977i | −0.106407 | − | 0.182422i | ||||
\(991\) | −8.58710 | − | 35.7678i | −0.272778 | − | 1.13620i | −0.925543 | − | 0.378642i | \(-0.876391\pi\) |
0.652765 | − | 0.757561i | \(-0.273609\pi\) | |||||||
\(992\) | −38.3440 | − | 17.2522i | −1.21742 | − | 0.547756i | ||||
\(993\) | 1.54570 | + | 1.54570i | 0.0490514 | + | 0.0490514i | ||||
\(994\) | 13.0930 | + | 27.1385i | 0.415286 | + | 0.860781i | ||||
\(995\) | −3.94328 | + | 4.61698i | −0.125010 | + | 0.146368i | ||||
\(996\) | −0.109379 | + | 0.892134i | −0.00346580 | + | 0.0282684i | ||||
\(997\) | −4.42188 | − | 7.21585i | −0.140042 | − | 0.228528i | 0.774928 | − | 0.632050i | \(-0.217786\pi\) |
−0.914970 | + | 0.403521i | \(0.867786\pi\) | |||||||
\(998\) | −46.7834 | − | 20.5802i | −1.48090 | − | 0.651455i | ||||
\(999\) | 0.142677 | + | 0.167053i | 0.00451411 | + | 0.00528534i |
(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 | 164.2.o.b.11.6 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.11.4 | ✓ | 288 | |
41.15 | odd | 40 | inner | 164.2.o.b.15.4 | yes | 288 | |
164.15 | even | 40 | inner | 164.2.o.b.15.6 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.11.4 | ✓ | 288 | 4.3 | odd | 2 | inner | |
164.2.o.b.11.6 | yes | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.15.4 | yes | 288 | 41.15 | odd | 40 | inner | |
164.2.o.b.15.6 | yes | 288 | 164.15 | even | 40 | inner |