Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 11.28 | ||
Character | \(\chi\) | \(=\) | 192.11 |
Dual form | 192.2.s.a.35.28 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35305 | − | 0.411422i | 0.956748 | − | 0.290919i | ||||
\(3\) | −0.525755 | − | 1.65033i | −0.303545 | − | 0.952817i | ||||
\(4\) | 1.66146 | − | 1.11334i | 0.830732 | − | 0.556672i | ||||
\(5\) | −0.731423 | + | 0.488721i | −0.327102 | + | 0.218563i | −0.708267 | − | 0.705944i | \(-0.750523\pi\) |
0.381165 | + | 0.924507i | \(0.375523\pi\) | |||||||
\(6\) | −1.39035 | − | 2.01666i | −0.567609 | − | 0.823298i | ||||
\(7\) | 0.683144 | − | 1.64925i | 0.258204 | − | 0.623360i | −0.740616 | − | 0.671929i | \(-0.765466\pi\) |
0.998820 | + | 0.0485690i | \(0.0154661\pi\) | |||||||
\(8\) | 1.78998 | − | 2.18997i | 0.632854 | − | 0.774271i | ||||
\(9\) | −2.44716 | + | 1.73534i | −0.815721 | + | 0.578446i | ||||
\(10\) | −0.788578 | + | 0.962186i | −0.249370 | + | 0.304270i | ||||
\(11\) | −0.385603 | + | 1.93856i | −0.116264 | + | 0.584497i | 0.878100 | + | 0.478477i | \(0.158811\pi\) |
−0.994364 | + | 0.106021i | \(0.966189\pi\) | |||||||
\(12\) | −2.71091 | − | 2.15661i | −0.782572 | − | 0.622561i | ||||
\(13\) | −0.659632 | + | 0.987209i | −0.182949 | + | 0.273803i | −0.911596 | − | 0.411087i | \(-0.865149\pi\) |
0.728647 | + | 0.684889i | \(0.240149\pi\) | |||||||
\(14\) | 0.245785 | − | 2.51258i | 0.0656888 | − | 0.671515i | ||||
\(15\) | 1.19110 | + | 0.950140i | 0.307541 | + | 0.245325i | ||||
\(16\) | 1.52093 | − | 3.69957i | 0.380232 | − | 0.924891i | ||||
\(17\) | 2.96995 | + | 2.96995i | 0.720319 | + | 0.720319i | 0.968670 | − | 0.248351i | \(-0.0798886\pi\) |
−0.248351 | + | 0.968670i | \(0.579889\pi\) | |||||||
\(18\) | −2.59717 | + | 3.35481i | −0.612158 | + | 0.790735i | ||||
\(19\) | 2.88241 | − | 4.31384i | 0.661271 | − | 0.989662i | −0.337559 | − | 0.941304i | \(-0.609601\pi\) |
0.998830 | − | 0.0483579i | \(-0.0153988\pi\) | |||||||
\(20\) | −0.671118 | + | 1.62632i | −0.150067 | + | 0.363656i | ||||
\(21\) | −3.08098 | − | 0.260306i | −0.672324 | − | 0.0568035i | ||||
\(22\) | 0.275827 | + | 2.78160i | 0.0588064 | + | 0.593040i | ||||
\(23\) | 1.53714 | + | 3.71099i | 0.320516 | + | 0.773794i | 0.999224 | + | 0.0393859i | \(0.0125402\pi\) |
−0.678708 | + | 0.734408i | \(0.737460\pi\) | |||||||
\(24\) | −4.55526 | − | 1.80267i | −0.929838 | − | 0.367968i | ||||
\(25\) | −1.61729 | + | 3.90447i | −0.323457 | + | 0.780895i | ||||
\(26\) | −0.486353 | + | 1.60713i | −0.0953816 | + | 0.315183i | ||||
\(27\) | 4.15048 | + | 3.12626i | 0.798761 | + | 0.601648i | ||||
\(28\) | −0.701171 | − | 3.50075i | −0.132509 | − | 0.661580i | ||||
\(29\) | −8.74967 | + | 1.74042i | −1.62477 | + | 0.323188i | −0.921692 | − | 0.387922i | \(-0.873193\pi\) |
−0.703081 | + | 0.711109i | \(0.748193\pi\) | |||||||
\(30\) | 2.00252 | + | 0.795538i | 0.365609 | + | 0.145245i | ||||
\(31\) | 2.66183 | 0.478079 | 0.239039 | − | 0.971010i | \(-0.423167\pi\) | ||||
0.239039 | + | 0.971010i | \(0.423167\pi\) | |||||||
\(32\) | 0.535800 | − | 5.63142i | 0.0947170 | − | 0.995504i | ||||
\(33\) | 3.40199 | − | 0.382836i | 0.592210 | − | 0.0666432i | ||||
\(34\) | 5.24038 | + | 2.79658i | 0.898718 | + | 0.479609i | ||||
\(35\) | 0.306359 | + | 1.54017i | 0.0517841 | + | 0.260336i | ||||
\(36\) | −2.13384 | + | 5.60774i | −0.355641 | + | 0.934623i | ||||
\(37\) | −2.69661 | + | 1.80182i | −0.443320 | + | 0.296217i | −0.757124 | − | 0.653271i | \(-0.773396\pi\) |
0.313805 | + | 0.949488i | \(0.398396\pi\) | |||||||
\(38\) | 2.12523 | − | 7.02271i | 0.344758 | − | 1.13923i | ||||
\(39\) | 1.97602 | + | 0.569579i | 0.316417 | + | 0.0912056i | ||||
\(40\) | −0.238950 | + | 2.47660i | −0.0377813 | + | 0.391584i | ||||
\(41\) | 9.64627 | − | 3.99562i | 1.50649 | − | 0.624011i | 0.531664 | − | 0.846955i | \(-0.321567\pi\) |
0.974831 | + | 0.222945i | \(0.0715670\pi\) | |||||||
\(42\) | −4.27580 | + | 0.915375i | −0.659770 | + | 0.141245i | ||||
\(43\) | −0.964098 | + | 4.84685i | −0.147024 | + | 0.739138i | 0.834981 | + | 0.550279i | \(0.185479\pi\) |
−0.982004 | + | 0.188858i | \(0.939521\pi\) | |||||||
\(44\) | 1.51762 | + | 3.65015i | 0.228790 | + | 0.550282i | ||||
\(45\) | 0.941815 | − | 2.46525i | 0.140397 | − | 0.367497i | ||||
\(46\) | 3.60660 | + | 4.38872i | 0.531764 | + | 0.647081i | ||||
\(47\) | −2.39391 | + | 2.39391i | −0.349187 | + | 0.349187i | −0.859807 | − | 0.510620i | \(-0.829416\pi\) |
0.510620 | + | 0.859807i | \(0.329416\pi\) | |||||||
\(48\) | −6.90513 | − | 0.564960i | −0.996670 | − | 0.0815450i | ||||
\(49\) | 2.69639 | + | 2.69639i | 0.385199 | + | 0.385199i | ||||
\(50\) | −0.581876 | + | 5.94832i | −0.0822896 | + | 0.841219i | ||||
\(51\) | 3.33993 | − | 6.46286i | 0.467683 | − | 0.904982i | ||||
\(52\) | 0.00314928 | + | 2.37461i | 0.000436726 | + | 0.329299i | ||||
\(53\) | −13.1496 | − | 2.61561i | −1.80623 | − | 0.359282i | −0.827030 | − | 0.562158i | \(-0.809971\pi\) |
−0.979205 | + | 0.202876i | \(0.934971\pi\) | |||||||
\(54\) | 6.90200 | + | 2.52237i | 0.939244 | + | 0.343251i | ||||
\(55\) | −0.665376 | − | 1.60636i | −0.0897192 | − | 0.216601i | ||||
\(56\) | −2.38900 | − | 4.44820i | −0.319244 | − | 0.594416i | ||||
\(57\) | −8.63469 | − | 2.48890i | −1.14369 | − | 0.329663i | ||||
\(58\) | −11.1227 | + | 5.95467i | −1.46048 | + | 0.781887i | ||||
\(59\) | −5.24528 | − | 7.85011i | −0.682877 | − | 1.02200i | −0.997352 | − | 0.0727319i | \(-0.976828\pi\) |
0.314474 | − | 0.949266i | \(-0.398172\pi\) | |||||||
\(60\) | 3.03680 | + | 0.252518i | 0.392050 | + | 0.0326000i | ||||
\(61\) | 4.01516 | − | 0.798665i | 0.514088 | − | 0.102259i | 0.0687730 | − | 0.997632i | \(-0.478092\pi\) |
0.445315 | + | 0.895374i | \(0.353092\pi\) | |||||||
\(62\) | 3.60158 | − | 1.09514i | 0.457401 | − | 0.139082i | ||||
\(63\) | 1.19025 | + | 5.22148i | 0.149957 | + | 0.657845i | ||||
\(64\) | −1.59193 | − | 7.84001i | −0.198991 | − | 0.980001i | ||||
\(65\) | − | 1.04444i | − | 0.129547i | ||||||
\(66\) | 4.44554 | − | 1.91765i | 0.547208 | − | 0.236046i | ||||
\(67\) | −1.21588 | − | 6.11263i | −0.148543 | − | 0.746777i | −0.981201 | − | 0.192989i | \(-0.938182\pi\) |
0.832658 | − | 0.553788i | \(-0.186818\pi\) | |||||||
\(68\) | 8.24105 | + | 1.62789i | 0.999374 | + | 0.197410i | ||||
\(69\) | 5.31618 | − | 4.48786i | 0.639993 | − | 0.540274i | ||||
\(70\) | 1.04818 | + | 1.95788i | 0.125281 | + | 0.234011i | ||||
\(71\) | −8.97139 | − | 3.71607i | −1.06471 | − | 0.441017i | −0.219588 | − | 0.975593i | \(-0.570471\pi\) |
−0.845120 | + | 0.534576i | \(0.820471\pi\) | |||||||
\(72\) | −0.580043 | + | 8.46543i | −0.0683587 | + | 0.997661i | ||||
\(73\) | −3.96854 | + | 1.64382i | −0.464482 | + | 0.192395i | −0.602636 | − | 0.798016i | \(-0.705883\pi\) |
0.138154 | + | 0.990411i | \(0.455883\pi\) | |||||||
\(74\) | −2.90733 | + | 3.54738i | −0.337970 | + | 0.412375i | ||||
\(75\) | 7.29396 | + | 0.616254i | 0.842234 | + | 0.0711589i | ||||
\(76\) | −0.0137615 | − | 10.3764i | −0.00157855 | − | 1.19026i | ||||
\(77\) | 2.93375 | + | 1.96027i | 0.334332 | + | 0.223394i | ||||
\(78\) | 2.90799 | − | 0.0423136i | 0.329265 | − | 0.00479108i | ||||
\(79\) | 3.91615 | − | 3.91615i | 0.440601 | − | 0.440601i | −0.451613 | − | 0.892214i | \(-0.649151\pi\) |
0.892214 | + | 0.451613i | \(0.149151\pi\) | |||||||
\(80\) | 0.695616 | + | 3.44926i | 0.0777722 | + | 0.385639i | ||||
\(81\) | 2.97721 | − | 8.49330i | 0.330801 | − | 0.943701i | ||||
\(82\) | 11.4080 | − | 9.37494i | 1.25980 | − | 1.03529i | ||||
\(83\) | −7.85219 | − | 5.24667i | −0.861890 | − | 0.575897i | 0.0441802 | − | 0.999024i | \(-0.485932\pi\) |
−0.906070 | + | 0.423127i | \(0.860932\pi\) | |||||||
\(84\) | −5.40874 | + | 2.99770i | −0.590142 | + | 0.327076i | ||||
\(85\) | −3.62377 | − | 0.720813i | −0.393053 | − | 0.0781831i | ||||
\(86\) | 0.689631 | + | 6.95466i | 0.0743648 | + | 0.749940i | ||||
\(87\) | 7.47245 | + | 13.5248i | 0.801131 | + | 1.45001i | ||||
\(88\) | 3.55516 | + | 4.31444i | 0.378981 | + | 0.459921i | ||||
\(89\) | −7.76699 | − | 3.21719i | −0.823299 | − | 0.341022i | −0.0690524 | − | 0.997613i | \(-0.521998\pi\) |
−0.754246 | + | 0.656591i | \(0.771998\pi\) | |||||||
\(90\) | 0.260062 | − | 3.72307i | 0.0274130 | − | 0.392446i | ||||
\(91\) | 1.17754 | + | 1.76231i | 0.123439 | + | 0.184740i | ||||
\(92\) | 6.68551 | + | 4.45430i | 0.697013 | + | 0.464393i | ||||
\(93\) | −1.39947 | − | 4.39289i | −0.145118 | − | 0.455522i | ||||
\(94\) | −2.25416 | + | 4.22397i | −0.232499 | + | 0.435669i | ||||
\(95\) | 4.56394i | 0.468250i | ||||||||
\(96\) | −9.57539 | + | 2.07650i | −0.977284 | + | 0.211932i | ||||
\(97\) | − | 2.84961i | − | 0.289335i | −0.989480 | − | 0.144667i | \(-0.953789\pi\) | ||
0.989480 | − | 0.144667i | \(-0.0462112\pi\) | |||||||
\(98\) | 4.75769 | + | 2.53899i | 0.480600 | + | 0.256476i | ||||
\(99\) | −2.42042 | − | 5.41312i | −0.243261 | − | 0.544039i | ||||
\(100\) | 1.65996 | + | 8.28774i | 0.165996 | + | 0.828774i | ||||
\(101\) | 3.25049 | + | 4.86470i | 0.323436 | + | 0.484056i | 0.957183 | − | 0.289485i | \(-0.0934839\pi\) |
−0.633747 | + | 0.773540i | \(0.718484\pi\) | |||||||
\(102\) | 1.86011 | − | 10.1187i | 0.184178 | − | 1.00190i | ||||
\(103\) | −14.4703 | − | 5.99378i | −1.42580 | − | 0.590585i | −0.469488 | − | 0.882939i | \(-0.655562\pi\) |
−0.956310 | + | 0.292354i | \(0.905562\pi\) | |||||||
\(104\) | 0.981228 | + | 3.21166i | 0.0962173 | + | 0.314929i | ||||
\(105\) | 2.38072 | − | 1.31535i | 0.232334 | − | 0.128365i | ||||
\(106\) | −18.8681 | + | 1.87098i | −1.83263 | + | 0.181726i | ||||
\(107\) | 10.5840 | + | 2.10528i | 1.02319 | + | 0.203525i | 0.678042 | − | 0.735023i | \(-0.262829\pi\) |
0.345149 | + | 0.938548i | \(0.387829\pi\) | |||||||
\(108\) | 10.3765 | + | 0.573244i | 0.998478 | + | 0.0551605i | ||||
\(109\) | 13.0385 | + | 8.71203i | 1.24886 | + | 0.834461i | 0.991277 | − | 0.131795i | \(-0.0420742\pi\) |
0.257582 | + | 0.966256i | \(0.417074\pi\) | |||||||
\(110\) | −1.56117 | − | 1.89973i | −0.148852 | − | 0.181132i | ||||
\(111\) | 4.39134 | + | 3.50297i | 0.416808 | + | 0.332487i | ||||
\(112\) | −5.06252 | − | 5.03573i | −0.478363 | − | 0.475832i | ||||
\(113\) | 3.65177 | − | 3.65177i | 0.343529 | − | 0.343529i | −0.514163 | − | 0.857692i | \(-0.671897\pi\) |
0.857692 | + | 0.514163i | \(0.171897\pi\) | |||||||
\(114\) | −12.7071 | + | 0.184899i | −1.19013 | + | 0.0173174i | ||||
\(115\) | −2.93794 | − | 1.96307i | −0.273964 | − | 0.183057i | ||||
\(116\) | −12.5996 | + | 12.6330i | −1.16984 | + | 1.17295i | ||||
\(117\) | −0.0989138 | − | 3.56055i | −0.00914459 | − | 0.329173i | ||||
\(118\) | −10.3268 | − | 8.46354i | −0.950660 | − | 0.779132i | ||||
\(119\) | 6.92711 | − | 2.86930i | 0.635007 | − | 0.263029i | ||||
\(120\) | 4.21282 | − | 0.907738i | 0.384576 | − | 0.0828648i | ||||
\(121\) | 6.55336 | + | 2.71449i | 0.595760 | + | 0.246772i | ||||
\(122\) | 5.10410 | − | 2.73255i | 0.462104 | − | 0.247394i | ||||
\(123\) | −11.6657 | − | 13.8188i | −1.05186 | − | 1.24600i | ||||
\(124\) | 4.42254 | − | 2.96354i | 0.397155 | − | 0.266133i | ||||
\(125\) | −1.58336 | − | 7.96009i | −0.141620 | − | 0.711972i | ||||
\(126\) | 3.75869 | + | 6.57521i | 0.334851 | + | 0.585766i | ||||
\(127\) | − | 5.00869i | − | 0.444449i | −0.974995 | − | 0.222225i | \(-0.928668\pi\) | ||
0.974995 | − | 0.222225i | \(-0.0713318\pi\) | |||||||
\(128\) | −5.37950 | − | 9.95294i | −0.475485 | − | 0.879724i | ||||
\(129\) | 8.50577 | − | 0.957179i | 0.748891 | − | 0.0842749i | ||||
\(130\) | −0.429707 | − | 1.41318i | −0.0376878 | − | 0.123944i | ||||
\(131\) | 17.0232 | − | 3.38612i | 1.48732 | − | 0.295847i | 0.616464 | − | 0.787383i | \(-0.288564\pi\) |
0.870857 | + | 0.491536i | \(0.163564\pi\) | |||||||
\(132\) | 5.22606 | − | 4.42366i | 0.454870 | − | 0.385030i | ||||
\(133\) | −5.14552 | − | 7.70081i | −0.446173 | − | 0.667745i | ||||
\(134\) | −4.16001 | − | 7.77043i | −0.359370 | − | 0.671263i | ||||
\(135\) | −4.56363 | − | 0.258187i | −0.392775 | − | 0.0222212i | ||||
\(136\) | 11.8203 | − | 1.18794i | 1.01358 | − | 0.101865i | ||||
\(137\) | 5.61514 | + | 13.5561i | 0.479733 | + | 1.15818i | 0.959734 | + | 0.280911i | \(0.0906365\pi\) |
−0.480001 | + | 0.877268i | \(0.659364\pi\) | |||||||
\(138\) | 5.34663 | − | 8.25947i | 0.455136 | − | 0.703093i | ||||
\(139\) | −14.3788 | − | 2.86012i | −1.21959 | − | 0.242592i | −0.456998 | − | 0.889468i | \(-0.651075\pi\) |
−0.762595 | + | 0.646876i | \(0.776075\pi\) | |||||||
\(140\) | 2.22374 | + | 2.21785i | 0.187941 | + | 0.187443i | ||||
\(141\) | 5.20934 | + | 2.69212i | 0.438706 | + | 0.226718i | ||||
\(142\) | −13.6676 | − | 1.33699i | −1.14696 | − | 0.112198i | ||||
\(143\) | −1.65941 | − | 1.65941i | −0.138767 | − | 0.138767i | ||||
\(144\) | 2.69804 | + | 11.6928i | 0.224837 | + | 0.974396i | ||||
\(145\) | 5.54913 | − | 5.54913i | 0.460830 | − | 0.460830i | ||||
\(146\) | −4.69331 | + | 3.85691i | −0.388421 | + | 0.319200i | ||||
\(147\) | 3.03229 | − | 5.86757i | 0.250099 | − | 0.483949i | ||||
\(148\) | −2.47428 | + | 5.99591i | −0.203384 | + | 0.492861i | ||||
\(149\) | 0.129066 | − | 0.648857i | 0.0105735 | − | 0.0531564i | −0.975138 | − | 0.221597i | \(-0.928873\pi\) |
0.985712 | + | 0.168440i | \(0.0538731\pi\) | |||||||
\(150\) | 10.1226 | − | 2.16707i | 0.826507 | − | 0.176941i | ||||
\(151\) | −22.6443 | + | 9.37957i | −1.84277 | + | 0.763299i | −0.893270 | + | 0.449520i | \(0.851595\pi\) |
−0.949496 | + | 0.313779i | \(0.898405\pi\) | |||||||
\(152\) | −4.28770 | − | 14.0341i | −0.347778 | − | 1.13832i | ||||
\(153\) | −12.4218 | − | 2.11409i | −1.00424 | − | 0.170914i | ||||
\(154\) | 4.77600 | + | 1.44533i | 0.384861 | + | 0.116468i | ||||
\(155\) | −1.94692 | + | 1.30089i | −0.156381 | + | 0.104490i | ||||
\(156\) | 3.91723 | − | 1.25366i | 0.313629 | − | 0.100373i | ||||
\(157\) | 4.05454 | + | 20.3835i | 0.323587 | + | 1.62678i | 0.709821 | + | 0.704382i | \(0.248776\pi\) |
−0.386234 | + | 0.922401i | \(0.626224\pi\) | |||||||
\(158\) | 3.68754 | − | 6.90991i | 0.293365 | − | 0.549723i | ||||
\(159\) | 2.59684 | + | 23.0763i | 0.205943 | + | 1.83007i | ||||
\(160\) | 2.36030 | + | 4.38081i | 0.186598 | + | 0.346333i | ||||
\(161\) | 7.17045 | 0.565111 | ||||||||
\(162\) | 0.533969 | − | 12.7167i | 0.0419526 | − | 0.999120i | ||||
\(163\) | 5.41447 | − | 1.07701i | 0.424094 | − | 0.0843576i | 0.0215710 | − | 0.999767i | \(-0.493133\pi\) |
0.402523 | + | 0.915410i | \(0.368133\pi\) | |||||||
\(164\) | 11.5784 | − | 17.3782i | 0.904124 | − | 1.35701i | ||||
\(165\) | −2.30119 | + | 1.94264i | −0.179148 | + | 0.151234i | ||||
\(166\) | −12.7830 | − | 3.86842i | −0.992151 | − | 0.300247i | ||||
\(167\) | 2.33305 | − | 5.63248i | 0.180537 | − | 0.435854i | −0.807541 | − | 0.589812i | \(-0.799202\pi\) |
0.988077 | + | 0.153958i | \(0.0492019\pi\) | |||||||
\(168\) | −6.08496 | + | 6.28130i | −0.469465 | + | 0.484613i | ||||
\(169\) | 4.43542 | + | 10.7080i | 0.341186 | + | 0.823696i | ||||
\(170\) | −5.19968 | + | 0.515606i | −0.398798 | + | 0.0395452i | ||||
\(171\) | 0.432227 | + | 15.5586i | 0.0330532 | + | 1.18980i | ||||
\(172\) | 3.79440 | + | 9.12624i | 0.289320 | + | 0.695869i | ||||
\(173\) | −6.81742 | + | 10.2030i | −0.518318 | + | 0.775718i | −0.994623 | − | 0.103562i | \(-0.966976\pi\) |
0.476305 | + | 0.879280i | \(0.341976\pi\) | |||||||
\(174\) | 15.6750 | + | 15.2253i | 1.18832 | + | 1.15423i | ||||
\(175\) | 5.33463 | + | 5.33463i | 0.403260 | + | 0.403260i | ||||
\(176\) | 6.58535 | + | 4.37497i | 0.496389 | + | 0.329776i | ||||
\(177\) | −10.1975 | + | 12.7837i | −0.766493 | + | 0.960879i | ||||
\(178\) | −11.8327 | − | 1.15750i | −0.886899 | − | 0.0867581i | ||||
\(179\) | −8.68204 | + | 12.9936i | −0.648926 | + | 0.971186i | 0.350475 | + | 0.936572i | \(0.386020\pi\) |
−0.999401 | + | 0.0346142i | \(0.988980\pi\) | |||||||
\(180\) | −1.17988 | − | 5.14448i | −0.0879429 | − | 0.383447i | ||||
\(181\) | 4.53048 | − | 22.7763i | 0.336748 | − | 1.69295i | −0.327027 | − | 0.945015i | \(-0.606047\pi\) |
0.663775 | − | 0.747932i | \(-0.268953\pi\) | |||||||
\(182\) | 2.31831 | + | 1.90002i | 0.171845 | + | 0.140839i | ||||
\(183\) | −3.42905 | − | 6.20643i | −0.253483 | − | 0.458792i | ||||
\(184\) | 10.8784 | + | 3.27631i | 0.801966 | + | 0.241533i | ||||
\(185\) | 1.09178 | − | 2.63578i | 0.0802689 | − | 0.193786i | ||||
\(186\) | −3.70088 | − | 5.36801i | −0.271362 | − | 0.393602i | ||||
\(187\) | −6.90265 | + | 4.61220i | −0.504772 | + | 0.337278i | ||||
\(188\) | −1.31215 | + | 6.64264i | −0.0956981 | + | 0.484464i | ||||
\(189\) | 7.99137 | − | 4.70952i | 0.581287 | − | 0.342567i | ||||
\(190\) | 1.87770 | + | 6.17522i | 0.136223 | + | 0.447997i | ||||
\(191\) | −6.04402 | −0.437330 | −0.218665 | − | 0.975800i | \(-0.570170\pi\) | ||||
−0.218665 | + | 0.975800i | \(0.570170\pi\) | |||||||
\(192\) | −12.1016 | + | 6.74913i | −0.873359 | + | 0.487077i | ||||
\(193\) | 1.88270 | 0.135520 | 0.0677599 | − | 0.997702i | \(-0.478415\pi\) | ||||
0.0677599 | + | 0.997702i | \(0.478415\pi\) | |||||||
\(194\) | −1.17239 | − | 3.85566i | −0.0841730 | − | 0.276820i | ||||
\(195\) | −1.72367 | + | 0.549122i | −0.123435 | + | 0.0393234i | ||||
\(196\) | 7.48197 | + | 1.47794i | 0.534426 | + | 0.105567i | ||||
\(197\) | 4.33698 | − | 2.89788i | 0.308997 | − | 0.206465i | −0.391396 | − | 0.920222i | \(-0.628008\pi\) |
0.700393 | + | 0.713757i | \(0.253008\pi\) | |||||||
\(198\) | −5.50201 | − | 6.32838i | −0.391011 | − | 0.449739i | ||||
\(199\) | −4.67695 | + | 11.2912i | −0.331540 | + | 0.800409i | 0.666930 | + | 0.745120i | \(0.267608\pi\) |
−0.998470 | + | 0.0552885i | \(0.982392\pi\) | |||||||
\(200\) | 5.65576 | + | 10.5307i | 0.399923 | + | 0.744636i | ||||
\(201\) | −9.44859 | + | 5.22035i | −0.666452 | + | 0.368215i | ||||
\(202\) | 6.39950 | + | 5.24484i | 0.450267 | + | 0.369026i | ||||
\(203\) | −3.10689 | + | 15.6194i | −0.218061 | + | 1.09627i | ||||
\(204\) | −1.64623 | − | 14.4563i | −0.115259 | − | 1.01214i | ||||
\(205\) | −5.10276 | + | 7.63683i | −0.356393 | + | 0.533379i | ||||
\(206\) | −22.0449 | − | 2.15648i | −1.53594 | − | 0.150249i | ||||
\(207\) | −10.2014 | − | 6.41393i | −0.709049 | − | 0.445799i | ||||
\(208\) | 2.64899 | + | 3.94182i | 0.183675 | + | 0.273316i | ||||
\(209\) | 7.25116 | + | 7.25116i | 0.501573 | + | 0.501573i | ||||
\(210\) | 2.68005 | − | 2.75920i | 0.184941 | − | 0.190403i | ||||
\(211\) | −1.47845 | + | 2.21265i | −0.101780 | + | 0.152325i | −0.878864 | − | 0.477072i | \(-0.841698\pi\) |
0.777084 | + | 0.629397i | \(0.216698\pi\) | |||||||
\(212\) | −24.7596 | + | 10.2943i | −1.70050 | + | 0.707014i | ||||
\(213\) | −1.41598 | + | 16.7595i | −0.0970213 | + | 1.14834i | ||||
\(214\) | 15.1868 | − | 1.50593i | 1.03814 | − | 0.102943i | ||||
\(215\) | −1.66359 | − | 4.01627i | −0.113456 | − | 0.273908i | ||||
\(216\) | 14.2757 | − | 3.49349i | 0.971338 | − | 0.237702i | ||||
\(217\) | 1.81841 | − | 4.39004i | 0.123442 | − | 0.298015i | ||||
\(218\) | 21.2260 | + | 6.42346i | 1.43760 | + | 0.435052i | ||||
\(219\) | 4.79933 | + | 5.68514i | 0.324308 | + | 0.384166i | ||||
\(220\) | −2.89393 | − | 1.92811i | −0.195109 | − | 0.129993i | ||||
\(221\) | −4.89104 | + | 0.972888i | −0.329007 | + | 0.0654435i | ||||
\(222\) | 7.38289 | + | 2.93299i | 0.495507 | + | 0.196849i | ||||
\(223\) | 11.7244 | 0.785121 | 0.392561 | − | 0.919726i | \(-0.371589\pi\) | ||||
0.392561 | + | 0.919726i | \(0.371589\pi\) | |||||||
\(224\) | −8.92162 | − | 4.73074i | −0.596101 | − | 0.316086i | ||||
\(225\) | −2.81782 | − | 12.3614i | −0.187854 | − | 0.824095i | ||||
\(226\) | 3.43859 | − | 6.44342i | 0.228732 | − | 0.428610i | ||||
\(227\) | 3.84811 | + | 19.3458i | 0.255408 | + | 1.28402i | 0.869162 | + | 0.494527i | \(0.164659\pi\) |
−0.613754 | + | 0.789497i | \(0.710341\pi\) | |||||||
\(228\) | −17.1172 | + | 5.47816i | −1.13362 | + | 0.362800i | ||||
\(229\) | 14.0022 | − | 9.35598i | 0.925292 | − | 0.618260i | 0.00102184 | − | 0.999999i | \(-0.499675\pi\) |
0.924270 | + | 0.381739i | \(0.124675\pi\) | |||||||
\(230\) | −4.78281 | − | 1.44739i | −0.315369 | − | 0.0954379i | ||||
\(231\) | 1.69265 | − | 5.87228i | 0.111368 | − | 0.386368i | ||||
\(232\) | −11.8503 | + | 22.2768i | −0.778010 | + | 1.46255i | ||||
\(233\) | 17.8878 | − | 7.40939i | 1.17187 | − | 0.485405i | 0.290061 | − | 0.957008i | \(-0.406325\pi\) |
0.881811 | + | 0.471603i | \(0.156325\pi\) | |||||||
\(234\) | −1.59872 | − | 4.77688i | −0.104512 | − | 0.312275i | ||||
\(235\) | 0.581006 | − | 2.92091i | 0.0379006 | − | 0.190539i | ||||
\(236\) | −17.4547 | − | 7.20288i | −1.13621 | − | 0.468867i | ||||
\(237\) | −8.52186 | − | 4.40399i | −0.553554 | − | 0.286070i | ||||
\(238\) | 8.19220 | − | 6.73226i | 0.531022 | − | 0.436388i | ||||
\(239\) | 21.3101 | − | 21.3101i | 1.37844 | − | 1.37844i | 0.531171 | − | 0.847265i | \(-0.321752\pi\) |
0.847265 | − | 0.531171i | \(-0.178248\pi\) | |||||||
\(240\) | 5.32668 | − | 2.96146i | 0.343836 | − | 0.191161i | ||||
\(241\) | −13.2100 | − | 13.2100i | −0.850928 | − | 0.850928i | 0.139319 | − | 0.990248i | \(-0.455509\pi\) |
−0.990248 | + | 0.139319i | \(0.955509\pi\) | |||||||
\(242\) | 9.98379 | + | 0.976633i | 0.641782 | + | 0.0627804i | ||||
\(243\) | −15.5820 | − | 0.447971i | −0.999587 | − | 0.0287374i | ||||
\(244\) | 5.78185 | − | 5.79721i | 0.370145 | − | 0.371128i | ||||
\(245\) | −3.28999 | − | 0.654419i | −0.210189 | − | 0.0418093i | ||||
\(246\) | −21.4695 | − | 13.8980i | −1.36885 | − | 0.886101i | ||||
\(247\) | 2.35733 | + | 5.69109i | 0.149993 | + | 0.362116i | ||||
\(248\) | 4.76463 | − | 5.82933i | 0.302554 | − | 0.370163i | ||||
\(249\) | −4.53039 | + | 15.7172i | −0.287102 | + | 0.996034i | ||||
\(250\) | −5.41731 | − | 10.1189i | −0.342621 | − | 0.639977i | ||||
\(251\) | 7.74513 | + | 11.5914i | 0.488868 | + | 0.731643i | 0.991104 | − | 0.133088i | \(-0.0424892\pi\) |
−0.502236 | + | 0.864731i | \(0.667489\pi\) | |||||||
\(252\) | 7.79087 | + | 7.35014i | 0.490778 | + | 0.463016i | ||||
\(253\) | −7.78669 | + | 1.54887i | −0.489545 | + | 0.0973765i | ||||
\(254\) | −2.06068 | − | 6.77699i | −0.129299 | − | 0.425226i | ||||
\(255\) | 0.715639 | + | 6.35938i | 0.0448151 | + | 0.398240i | ||||
\(256\) | −11.3736 | − | 11.2535i | −0.710848 | − | 0.703346i | ||||
\(257\) | − | 12.2036i | − | 0.761242i | −0.924731 | − | 0.380621i | \(-0.875710\pi\) | ||
0.924731 | − | 0.380621i | \(-0.124290\pi\) | |||||||
\(258\) | 11.1149 | − | 4.79457i | 0.691983 | − | 0.298497i | ||||
\(259\) | 1.12948 | + | 5.67829i | 0.0701827 | + | 0.352832i | ||||
\(260\) | −1.16283 | − | 1.73531i | −0.0721154 | − | 0.107619i | ||||
\(261\) | 18.3917 | − | 19.4427i | 1.13842 | − | 1.20347i | ||||
\(262\) | 21.6400 | − | 11.5853i | 1.33692 | − | 0.715741i | ||||
\(263\) | −17.5876 | − | 7.28501i | −1.08450 | − | 0.449213i | −0.232412 | − | 0.972617i | \(-0.574662\pi\) |
−0.852084 | + | 0.523404i | \(0.824662\pi\) | |||||||
\(264\) | 5.25110 | − | 8.13552i | 0.323183 | − | 0.500707i | ||||
\(265\) | 10.8962 | − | 4.51336i | 0.669349 | − | 0.277254i | ||||
\(266\) | −10.1304 | − | 8.30257i | −0.621135 | − | 0.509063i | ||||
\(267\) | −1.22588 | + | 14.5095i | −0.0750229 | + | 0.887969i | ||||
\(268\) | −8.82560 | − | 8.80223i | −0.539110 | − | 0.537681i | ||||
\(269\) | 17.2261 | + | 11.5101i | 1.05030 | + | 0.701786i | 0.955883 | − | 0.293748i | \(-0.0949025\pi\) |
0.0944132 | + | 0.995533i | \(0.469903\pi\) | |||||||
\(270\) | −6.28102 | + | 1.52824i | −0.382251 | + | 0.0930056i | ||||
\(271\) | 11.2337 | − | 11.2337i | 0.682398 | − | 0.682398i | −0.278142 | − | 0.960540i | \(-0.589719\pi\) |
0.960540 | + | 0.278142i | \(0.0897185\pi\) | |||||||
\(272\) | 15.5046 | − | 6.47045i | 0.940105 | − | 0.392329i | ||||
\(273\) | 2.28929 | − | 2.86986i | 0.138554 | − | 0.173692i | ||||
\(274\) | 13.1748 | + | 16.0319i | 0.795920 | + | 0.968521i | ||||
\(275\) | −6.94542 | − | 4.64078i | −0.418825 | − | 0.279850i | ||||
\(276\) | 3.83611 | − | 13.3752i | 0.230907 | − | 0.805090i | ||||
\(277\) | −4.73459 | − | 0.941769i | −0.284474 | − | 0.0565854i | 0.0507908 | − | 0.998709i | \(-0.483826\pi\) |
−0.335265 | + | 0.942124i | \(0.608826\pi\) | |||||||
\(278\) | −20.6319 | + | 2.04588i | −1.23742 | + | 0.122704i | ||||
\(279\) | −6.51393 | + | 4.61917i | −0.389979 | + | 0.276543i | ||||
\(280\) | 3.92130 | + | 2.08596i | 0.234343 | + | 0.124660i | ||||
\(281\) | −16.5631 | − | 6.86065i | −0.988070 | − | 0.409272i | −0.170661 | − | 0.985330i | \(-0.554590\pi\) |
−0.817409 | + | 0.576058i | \(0.804590\pi\) | |||||||
\(282\) | 8.15607 | + | 1.49933i | 0.485687 | + | 0.0892836i | ||||
\(283\) | −10.5394 | − | 15.7733i | −0.626502 | − | 0.937626i | −0.999950 | − | 0.00997536i | \(-0.996825\pi\) |
0.373448 | − | 0.927651i | \(-0.378175\pi\) | |||||||
\(284\) | −19.0429 | + | 3.81413i | −1.12999 | + | 0.226327i | ||||
\(285\) | 7.53199 | − | 2.39951i | 0.446157 | − | 0.142135i | ||||
\(286\) | −2.92797 | − | 1.56254i | −0.173134 | − | 0.0923947i | ||||
\(287\) | − | 18.6387i | − | 1.10021i | ||||||
\(288\) | 8.46123 | + | 14.7108i | 0.498583 | + | 0.866842i | ||||
\(289\) | 0.641229i | 0.0377193i | ||||||||
\(290\) | 5.22520 | − | 9.79127i | 0.306834 | − | 0.574963i | ||||
\(291\) | −4.70280 | + | 1.49820i | −0.275683 | + | 0.0878261i | ||||
\(292\) | −4.76344 | + | 7.14951i | −0.278759 | + | 0.418393i | ||||
\(293\) | −1.04807 | − | 1.56854i | −0.0612286 | − | 0.0916351i | 0.799592 | − | 0.600544i | \(-0.205049\pi\) |
−0.860821 | + | 0.508909i | \(0.830049\pi\) | |||||||
\(294\) | 1.68877 | − | 9.18664i | 0.0984914 | − | 0.535776i | ||||
\(295\) | 7.67304 | + | 3.17828i | 0.446741 | + | 0.185046i | ||||
\(296\) | −0.880959 | + | 9.13071i | −0.0512047 | + | 0.530712i | ||||
\(297\) | −7.66087 | + | 6.84046i | −0.444529 | + | 0.396924i | ||||
\(298\) | −0.0923222 | − | 0.931033i | −0.00534808 | − | 0.0539333i | ||||
\(299\) | −4.67747 | − | 0.930406i | −0.270505 | − | 0.0538068i | ||||
\(300\) | 12.8048 | − | 7.09681i | 0.739283 | − | 0.409734i | ||||
\(301\) | 7.33507 | + | 4.90114i | 0.422787 | + | 0.282497i | ||||
\(302\) | −26.7798 | + | 22.0073i | −1.54100 | + | 1.26638i | ||||
\(303\) | 6.31939 | − | 7.92201i | 0.363039 | − | 0.455108i | ||||
\(304\) | −11.5754 | − | 17.2247i | −0.663894 | − | 0.987905i | ||||
\(305\) | −2.54646 | + | 2.54646i | −0.145810 | + | 0.145810i | ||||
\(306\) | −17.6771 | + | 2.25015i | −1.01053 | + | 0.128633i | ||||
\(307\) | 18.7859 | + | 12.5523i | 1.07217 | + | 0.716398i | 0.960761 | − | 0.277377i | \(-0.0894650\pi\) |
0.111405 | + | 0.993775i | \(0.464465\pi\) | |||||||
\(308\) | 7.05679 | − | 0.00935891i | 0.402098 | − | 0.000533274i | ||||
\(309\) | −2.28388 | + | 27.0320i | −0.129926 | + | 1.53779i | ||||
\(310\) | −2.09906 | + | 2.56117i | −0.119219 | + | 0.145465i | ||||
\(311\) | 22.2263 | − | 9.20645i | 1.26034 | − | 0.522050i | 0.350326 | − | 0.936628i | \(-0.386071\pi\) |
0.910014 | + | 0.414578i | \(0.136071\pi\) | |||||||
\(312\) | 4.78441 | − | 3.30790i | 0.270864 | − | 0.187273i | ||||
\(313\) | −0.620600 | − | 0.257061i | −0.0350784 | − | 0.0145300i | 0.365075 | − | 0.930978i | \(-0.381043\pi\) |
−0.400154 | + | 0.916448i | \(0.631043\pi\) | |||||||
\(314\) | 13.8722 | + | 25.9117i | 0.782853 | + | 1.46228i | ||||
\(315\) | −3.42242 | − | 3.23741i | −0.192832 | − | 0.182407i | ||||
\(316\) | 2.14652 | − | 10.8666i | 0.120751 | − | 0.611292i | ||||
\(317\) | −4.99544 | − | 25.1138i | −0.280572 | − | 1.41053i | −0.821858 | − | 0.569692i | \(-0.807063\pi\) |
0.541287 | − | 0.840838i | \(-0.317937\pi\) | |||||||
\(318\) | 13.0077 | + | 30.1549i | 0.729438 | + | 1.69100i | ||||
\(319\) | − | 17.6329i | − | 0.987251i | ||||||
\(320\) | 4.99595 | + | 4.95636i | 0.279282 | + | 0.277069i | ||||
\(321\) | −2.09017 | − | 18.5739i | −0.116662 | − | 1.03669i | ||||
\(322\) | 9.70195 | − | 2.95008i | 0.540668 | − | 0.164402i | ||||
\(323\) | 21.3725 | − | 4.25126i | 1.18920 | − | 0.236546i | ||||
\(324\) | −4.50945 | − | 17.4260i | −0.250525 | − | 0.968110i | ||||
\(325\) | −2.78772 | − | 4.17212i | −0.154635 | − | 0.231427i | ||||
\(326\) | 6.88293 | − | 3.68487i | 0.381210 | − | 0.204086i | ||||
\(327\) | 7.52265 | − | 26.0981i | 0.416004 | − | 1.44323i | ||||
\(328\) | 8.51638 | − | 28.2771i | 0.470238 | − | 1.56134i | ||||
\(329\) | 2.31278 | + | 5.58355i | 0.127508 | + | 0.307831i | ||||
\(330\) | −2.31438 | + | 3.57524i | −0.127402 | + | 0.196811i | ||||
\(331\) | 5.77655 | + | 1.14903i | 0.317508 | + | 0.0631563i | 0.351272 | − | 0.936274i | \(-0.385749\pi\) |
−0.0337636 | + | 0.999430i | \(0.510749\pi\) | |||||||
\(332\) | −18.8875 | + | 0.0250491i | −1.03659 | + | 0.00137475i | ||||
\(333\) | 3.47228 | − | 9.08886i | 0.190280 | − | 0.498067i | ||||
\(334\) | 0.839396 | − | 8.58086i | 0.0459297 | − | 0.469524i | ||||
\(335\) | 3.87669 | + | 3.87669i | 0.211806 | + | 0.211806i | ||||
\(336\) | −5.64896 | + | 11.0024i | −0.308176 | + | 0.600229i | ||||
\(337\) | −22.1894 | + | 22.1894i | −1.20873 | + | 1.20873i | −0.237295 | + | 0.971438i | \(0.576261\pi\) |
−0.971438 | + | 0.237295i | \(0.923739\pi\) | |||||||
\(338\) | 10.4068 | + | 12.6636i | 0.566058 | + | 0.688811i | ||||
\(339\) | −7.94654 | − | 4.10667i | −0.431597 | − | 0.223044i | ||||
\(340\) | −6.82328 | + | 2.83690i | −0.370044 | + | 0.153853i | ||||
\(341\) | −1.02641 | + | 5.16011i | −0.0555832 | + | 0.279436i | ||||
\(342\) | 6.98598 | + | 20.8737i | 0.377759 | + | 1.12872i | ||||
\(343\) | 17.8338 | − | 7.38702i | 0.962937 | − | 0.398862i | ||||
\(344\) | 8.88873 | + | 10.7871i | 0.479248 | + | 0.581603i | ||||
\(345\) | −1.69507 | + | 5.88065i | −0.0912594 | + | 0.316604i | ||||
\(346\) | −5.02654 | + | 16.6099i | −0.270229 | + | 0.892956i | ||||
\(347\) | 3.29006 | − | 2.19835i | 0.176620 | − | 0.118014i | −0.464118 | − | 0.885773i | \(-0.653629\pi\) |
0.640738 | + | 0.767760i | \(0.278629\pi\) | |||||||
\(348\) | 27.4730 | + | 14.1515i | 1.47271 | + | 0.758603i | ||||
\(349\) | −0.572654 | − | 2.87892i | −0.0306534 | − | 0.154105i | 0.962427 | − | 0.271540i | \(-0.0875329\pi\) |
−0.993081 | + | 0.117435i | \(0.962533\pi\) | |||||||
\(350\) | 9.41279 | + | 5.02322i | 0.503135 | + | 0.268502i | ||||
\(351\) | −5.82406 | + | 2.03522i | −0.310865 | + | 0.108632i | ||||
\(352\) | 10.7102 | + | 3.21017i | 0.570857 | + | 0.171103i | ||||
\(353\) | −17.1877 | −0.914807 | −0.457404 | − | 0.889259i | \(-0.651221\pi\) | ||||
−0.457404 | + | 0.889259i | \(0.651221\pi\) | |||||||
\(354\) | −8.53824 | + | 21.4924i | −0.453802 | + | 1.14231i | ||||
\(355\) | 8.37800 | − | 1.66649i | 0.444658 | − | 0.0884480i | ||||
\(356\) | −16.4864 | + | 3.30209i | −0.873778 | + | 0.175010i | ||||
\(357\) | −8.37726 | − | 9.92345i | −0.443371 | − | 0.525205i | ||||
\(358\) | −6.40135 | + | 21.1529i | −0.338322 | + | 1.11797i | ||||
\(359\) | 0.573946 | − | 1.38563i | 0.0302917 | − | 0.0731307i | −0.908010 | − | 0.418949i | \(-0.862399\pi\) |
0.938302 | + | 0.345818i | \(0.112399\pi\) | |||||||
\(360\) | −3.71298 | − | 6.47529i | −0.195691 | − | 0.341278i | ||||
\(361\) | −3.02990 | − | 7.31483i | −0.159468 | − | 0.384991i | ||||
\(362\) | −3.24071 | − | 32.6813i | −0.170328 | − | 1.71769i | ||||
\(363\) | 1.03433 | − | 12.2423i | 0.0542885 | − | 0.642556i | ||||
\(364\) | 3.91849 | + | 1.61701i | 0.205385 | + | 0.0847542i | ||||
\(365\) | 2.09931 | − | 3.14184i | 0.109883 | − | 0.164451i | ||||
\(366\) | −7.19312 | − | 6.98679i | −0.375990 | − | 0.365205i | ||||
\(367\) | −0.597848 | − | 0.597848i | −0.0312074 | − | 0.0312074i | 0.691331 | − | 0.722538i | \(-0.257025\pi\) |
−0.722538 | + | 0.691331i | \(0.757025\pi\) | |||||||
\(368\) | 16.0669 | − | 0.0426169i | 0.837546 | − | 0.00222156i | ||||
\(369\) | −16.6723 | + | 26.5175i | −0.867923 | + | 1.38044i | ||||
\(370\) | 0.392805 | − | 4.01551i | 0.0204209 | − | 0.208756i | ||||
\(371\) | −13.2969 | + | 19.9002i | −0.690339 | + | 1.03317i | ||||
\(372\) | −7.21598 | − | 5.74054i | −0.374131 | − | 0.297633i | ||||
\(373\) | −0.819626 | + | 4.12054i | −0.0424386 | + | 0.213353i | −0.996186 | − | 0.0872563i | \(-0.972190\pi\) |
0.953747 | + | 0.300610i | \(0.0971901\pi\) | |||||||
\(374\) | −7.44204 | + | 9.08042i | −0.384819 | + | 0.469537i | ||||
\(375\) | −12.3043 | + | 6.79812i | −0.635391 | + | 0.351053i | ||||
\(376\) | 0.957531 | + | 9.52763i | 0.0493809 | + | 0.491350i | ||||
\(377\) | 4.05341 | − | 9.78579i | 0.208761 | − | 0.503994i | ||||
\(378\) | 8.87509 | − | 9.66002i | 0.456485 | − | 0.496858i | ||||
\(379\) | 15.5395 | − | 10.3832i | 0.798210 | − | 0.533347i | −0.0882793 | − | 0.996096i | \(-0.528137\pi\) |
0.886489 | + | 0.462749i | \(0.153137\pi\) | |||||||
\(380\) | 5.08124 | + | 7.58282i | 0.260662 | + | 0.388990i | ||||
\(381\) | −8.26598 | + | 2.63335i | −0.423479 | + | 0.134910i | ||||
\(382\) | −8.17783 | + | 2.48664i | −0.418414 | + | 0.127228i | ||||
\(383\) | −33.7000 | −1.72199 | −0.860995 | − | 0.508614i | \(-0.830158\pi\) | ||||
−0.860995 | + | 0.508614i | \(0.830158\pi\) | |||||||
\(384\) | −13.5973 | + | 14.1108i | −0.693885 | + | 0.720086i | ||||
\(385\) | −3.10384 | −0.158186 | ||||||||
\(386\) | 2.54738 | − | 0.774585i | 0.129658 | − | 0.0394253i | ||||
\(387\) | −6.05161 | − | 13.5341i | −0.307621 | − | 0.687975i | ||||
\(388\) | −3.17260 | − | 4.73453i | −0.161065 | − | 0.240359i | ||||
\(389\) | 8.49069 | − | 5.67330i | 0.430495 | − | 0.287648i | −0.321384 | − | 0.946949i | \(-0.604148\pi\) |
0.751879 | + | 0.659301i | \(0.229148\pi\) | |||||||
\(390\) | −2.10629 | + | 1.45214i | −0.106656 | + | 0.0735322i | ||||
\(391\) | −6.45622 | + | 15.5867i | −0.326505 | + | 0.788252i | ||||
\(392\) | 10.7315 | − | 1.07852i | 0.542023 | − | 0.0544735i | ||||
\(393\) | −14.5382 | − | 26.3135i | −0.733357 | − | 1.32734i | ||||
\(394\) | 4.67588 | − | 5.70529i | 0.235567 | − | 0.287428i | ||||
\(395\) | −0.950456 | + | 4.77827i | −0.0478226 | + | 0.240421i | ||||
\(396\) | −10.0481 | − | 6.29894i | −0.504936 | − | 0.316534i | ||||
\(397\) | −8.55063 | + | 12.7969i | −0.429144 | + | 0.642259i | −0.981525 | − | 0.191332i | \(-0.938719\pi\) |
0.552381 | + | 0.833592i | \(0.313719\pi\) | |||||||
\(398\) | −1.68270 | + | 17.2016i | −0.0843460 | + | 0.862240i | ||||
\(399\) | −10.0036 | + | 12.5405i | −0.500805 | + | 0.627812i | ||||
\(400\) | 11.9851 | + | 11.9217i | 0.599254 | + | 0.596084i | ||||
\(401\) | 11.2667 | + | 11.2667i | 0.562633 | + | 0.562633i | 0.930054 | − | 0.367422i | \(-0.119759\pi\) |
−0.367422 | + | 0.930054i | \(0.619759\pi\) | |||||||
\(402\) | −10.6366 | + | 10.9507i | −0.530506 | + | 0.546172i | ||||
\(403\) | −1.75583 | + | 2.62778i | −0.0874641 | + | 0.130899i | ||||
\(404\) | 10.8167 | + | 4.46361i | 0.538149 | + | 0.222073i | ||||
\(405\) | 1.97326 | + | 7.66722i | 0.0980520 | + | 0.380987i | ||||
\(406\) | 2.22240 | + | 22.4120i | 0.110296 | + | 1.11229i | ||||
\(407\) | −2.45310 | − | 5.92232i | −0.121596 | − | 0.293558i | ||||
\(408\) | −8.17506 | − | 18.8827i | −0.404726 | − | 0.934835i | ||||
\(409\) | 0.575698 | − | 1.38986i | 0.0284664 | − | 0.0687240i | −0.909007 | − | 0.416781i | \(-0.863158\pi\) |
0.937474 | + | 0.348057i | \(0.113158\pi\) | |||||||
\(410\) | −3.76231 | + | 12.4324i | −0.185807 | + | 0.613991i | ||||
\(411\) | 19.4199 | − | 16.3940i | 0.957912 | − | 0.808658i | ||||
\(412\) | −30.7150 | + | 6.15195i | −1.51322 | + | 0.303085i | ||||
\(413\) | −16.5301 | + | 3.28805i | −0.813394 | + | 0.161794i | ||||
\(414\) | −16.4418 | − | 4.48124i | −0.808073 | − | 0.220241i | ||||
\(415\) | 8.30743 | 0.407796 | ||||||||
\(416\) | 5.20596 | + | 4.24361i | 0.255243 | + | 0.208060i | ||||
\(417\) | 2.83959 | + | 25.2334i | 0.139055 | + | 1.23569i | ||||
\(418\) | 12.7944 | + | 6.82786i | 0.625796 | + | 0.333962i | ||||
\(419\) | −3.58654 | − | 18.0308i | −0.175214 | − | 0.880860i | −0.963941 | − | 0.266116i | \(-0.914259\pi\) |
0.788727 | − | 0.614744i | \(-0.210741\pi\) | |||||||
\(420\) | 2.49104 | − | 4.83596i | 0.121550 | − | 0.235970i | ||||
\(421\) | −19.2955 | + | 12.8928i | −0.940404 | + | 0.628358i | −0.928405 | − | 0.371570i | \(-0.878819\pi\) |
−0.0119989 | + | 0.999928i | \(0.503819\pi\) | |||||||
\(422\) | −1.09007 | + | 3.60208i | −0.0530639 | + | 0.175347i | ||||
\(423\) | 1.70404 | − | 10.0125i | 0.0828535 | − | 0.486825i | ||||
\(424\) | −29.2656 | + | 24.1153i | −1.42126 | + | 1.17114i | ||||
\(425\) | −16.3994 | + | 6.79284i | −0.795486 | + | 0.329501i | ||||
\(426\) | 4.97933 | + | 23.2589i | 0.241249 | + | 1.12690i | ||||
\(427\) | 1.42573 | − | 7.16762i | 0.0689959 | − | 0.346866i | ||||
\(428\) | 19.9288 | − | 8.28576i | 0.963294 | − | 0.400507i | ||||
\(429\) | −1.86612 | + | 3.61101i | −0.0900972 | + | 0.174341i | ||||
\(430\) | −3.90330 | − | 4.74976i | −0.188234 | − | 0.229054i | ||||
\(431\) | 14.3376 | − | 14.3376i | 0.690617 | − | 0.690617i | −0.271751 | − | 0.962368i | \(-0.587603\pi\) |
0.962368 | + | 0.271751i | \(0.0876026\pi\) | |||||||
\(432\) | 17.8784 | − | 10.6002i | 0.860174 | − | 0.510001i | ||||
\(433\) | 0.421381 | + | 0.421381i | 0.0202503 | + | 0.0202503i | 0.717159 | − | 0.696909i | \(-0.245442\pi\) |
−0.696909 | + | 0.717159i | \(0.745442\pi\) | |||||||
\(434\) | 0.654238 | − | 6.68805i | 0.0314044 | − | 0.321037i | ||||
\(435\) | −12.0754 | − | 6.24040i | −0.578970 | − | 0.299204i | ||||
\(436\) | 31.3624 | − | 0.0415938i | 1.50199 | − | 0.00199198i | ||||
\(437\) | 20.4393 | + | 4.06562i | 0.977743 | + | 0.194485i | ||||
\(438\) | 8.83270 | + | 5.71771i | 0.422043 | + | 0.273203i | ||||
\(439\) | −1.36422 | − | 3.29352i | −0.0651108 | − | 0.157191i | 0.887975 | − | 0.459892i | \(-0.152112\pi\) |
−0.953086 | + | 0.302701i | \(0.902112\pi\) | |||||||
\(440\) | −4.70889 | − | 1.41820i | −0.224487 | − | 0.0676101i | ||||
\(441\) | −11.2777 | − | 1.91936i | −0.537031 | − | 0.0913981i | ||||
\(442\) | −6.21753 | + | 3.32864i | −0.295738 | + | 0.158327i | ||||
\(443\) | 2.11097 | + | 3.15928i | 0.100295 | + | 0.150102i | 0.878223 | − | 0.478251i | \(-0.158729\pi\) |
−0.777928 | + | 0.628353i | \(0.783729\pi\) | |||||||
\(444\) | 11.1961 | + | 0.930984i | 0.531342 | + | 0.0441825i | ||||
\(445\) | 7.25326 | − | 1.44276i | 0.343838 | − | 0.0683935i | ||||
\(446\) | 15.8636 | − | 4.82366i | 0.751163 | − | 0.228407i | ||||
\(447\) | −1.13868 | + | 0.128139i | −0.0538579 | + | 0.00606078i | ||||
\(448\) | −14.0177 | − | 2.73036i | −0.662274 | − | 0.128997i | ||||
\(449\) | − | 31.0572i | − | 1.46568i | −0.680401 | − | 0.732840i | \(-0.738194\pi\) | ||
0.680401 | − | 0.732840i | \(-0.261806\pi\) | |||||||
\(450\) | −8.89839 | − | 15.5662i | −0.419474 | − | 0.733800i | ||||
\(451\) | 4.02610 | + | 20.2406i | 0.189582 | + | 0.953092i | ||||
\(452\) | 2.00160 | − | 10.1330i | 0.0941475 | − | 0.476614i | ||||
\(453\) | 27.3847 | + | 32.4391i | 1.28665 | + | 1.52412i | ||||
\(454\) | 13.1659 | + | 24.5925i | 0.617908 | + | 1.15418i | ||||
\(455\) | −1.72255 | − | 0.713505i | −0.0807546 | − | 0.0334496i | ||||
\(456\) | −20.9066 | + | 14.4546i | −0.979040 | + | 0.676899i | ||||
\(457\) | 0.554573 | − | 0.229712i | 0.0259419 | − | 0.0107455i | −0.369675 | − | 0.929161i | \(-0.620531\pi\) |
0.395617 | + | 0.918416i | \(0.370531\pi\) | |||||||
\(458\) | 15.0964 | − | 18.4199i | 0.705407 | − | 0.860704i | ||||
\(459\) | 3.04190 | + | 21.6116i | 0.141984 | + | 1.00874i | ||||
\(460\) | −7.06685 | + | 0.00937226i | −0.329494 | + | 0.000436984i | ||||
\(461\) | 25.4530 | + | 17.0072i | 1.18547 | + | 0.792103i | 0.982350 | − | 0.187052i | \(-0.0598932\pi\) |
0.203116 | + | 0.979155i | \(0.434893\pi\) | |||||||
\(462\) | −0.125746 | − | 8.64186i | −0.00585024 | − | 0.402056i | ||||
\(463\) | −5.70209 | + | 5.70209i | −0.264999 | + | 0.264999i | −0.827081 | − | 0.562083i | \(-0.810000\pi\) |
0.562083 | + | 0.827081i | \(0.310000\pi\) | |||||||
\(464\) | −6.86882 | + | 35.0170i | −0.318877 | + | 1.62563i | ||||
\(465\) | 3.17051 | + | 2.52911i | 0.147029 | + | 0.117285i | ||||
\(466\) | 21.1547 | − | 17.3847i | 0.979971 | − | 0.805330i | ||||
\(467\) | 5.75749 | + | 3.84703i | 0.266425 | + | 0.178019i | 0.681606 | − | 0.731719i | \(-0.261282\pi\) |
−0.415181 | + | 0.909739i | \(0.636282\pi\) | |||||||
\(468\) | −4.12846 | − | 5.80559i | −0.190838 | − | 0.268364i | ||||
\(469\) | −10.9119 | − | 2.17051i | −0.503865 | − | 0.100225i | ||||
\(470\) | −0.415600 | − | 4.19117i | −0.0191702 | − | 0.193324i | ||||
\(471\) | 31.5078 | − | 17.4081i | 1.45180 | − | 0.802121i | ||||
\(472\) | −26.5805 | − | 2.56457i | −1.22346 | − | 0.118044i | ||||
\(473\) | −9.02414 | − | 3.73792i | −0.414931 | − | 0.171870i | ||||
\(474\) | −13.3424 | − | 2.45272i | −0.612835 | − | 0.112657i | ||||
\(475\) | 12.1816 | + | 18.2310i | 0.558929 | + | 0.836497i | ||||
\(476\) | 8.31462 | − | 12.4795i | 0.381100 | − | 0.571997i | ||||
\(477\) | 36.7181 | − | 16.4181i | 1.68121 | − | 0.751734i | ||||
\(478\) | 20.0661 | − | 37.6010i | 0.917802 | − | 1.71983i | ||||
\(479\) | 17.0790i | 0.780358i | 0.920739 | + | 0.390179i | \(0.127587\pi\) | ||||
−0.920739 | + | 0.390179i | \(0.872413\pi\) | |||||||
\(480\) | 5.98883 | − | 6.19850i | 0.273351 | − | 0.282922i | ||||
\(481\) | − | 3.85065i | − | 0.175575i | ||||||
\(482\) | −23.3085 | − | 12.4388i | −1.06167 | − | 0.566572i | ||||
\(483\) | −3.76990 | − | 11.8336i | −0.171537 | − | 0.538447i | ||||
\(484\) | 13.9103 | − | 2.78612i | 0.632288 | − | 0.126642i | ||||
\(485\) | 1.39267 | + | 2.08427i | 0.0632378 | + | 0.0946420i | ||||
\(486\) | −21.2675 | + | 5.80466i | −0.964713 | + | 0.263305i | ||||
\(487\) | 15.8723 | + | 6.57454i | 0.719245 | + | 0.297921i | 0.712124 | − | 0.702054i | \(-0.247733\pi\) |
0.00712078 | + | 0.999975i | \(0.497733\pi\) | |||||||
\(488\) | 5.43801 | − | 10.2227i | 0.246167 | − | 0.462758i | ||||
\(489\) | −4.62410 | − | 8.36942i | −0.209109 | − | 0.378478i | ||||
\(490\) | −4.72074 | + | 0.468114i | −0.213261 | + | 0.0211472i | ||||
\(491\) | −12.4835 | − | 2.48313i | −0.563374 | − | 0.112062i | −0.0948158 | − | 0.995495i | \(-0.530226\pi\) |
−0.468558 | + | 0.883433i | \(0.655226\pi\) | |||||||
\(492\) | −34.7672 | − | 9.97153i | −1.56742 | − | 0.449551i | ||||
\(493\) | −31.1551 | − | 20.8172i | −1.40315 | − | 0.937557i | ||||
\(494\) | 5.53101 | + | 6.73045i | 0.248852 | + | 0.302817i | ||||
\(495\) | 4.41586 | + | 2.77637i | 0.198478 | + | 0.124789i | ||||
\(496\) | 4.04845 | − | 9.84761i | 0.181781 | − | 0.442171i | ||||
\(497\) | −12.2575 | + | 12.2575i | −0.549824 | + | 0.549824i | ||||
\(498\) | 0.336560 | + | 23.1299i | 0.0150816 | + | 1.03648i | ||||
\(499\) | −4.47018 | − | 2.98688i | −0.200113 | − | 0.133711i | 0.451477 | − | 0.892283i | \(-0.350897\pi\) |
−0.651589 | + | 0.758572i | \(0.725897\pi\) | |||||||
\(500\) | −11.4930 | − | 11.4626i | −0.513983 | − | 0.512622i | ||||
\(501\) | −10.5220 | − | 0.888989i | −0.470090 | − | 0.0397171i | ||||
\(502\) | 15.2485 | + | 12.4972i | 0.680572 | + | 0.557776i | ||||
\(503\) | 11.5844 | − | 4.79840i | 0.516521 | − | 0.213950i | −0.109167 | − | 0.994023i | \(-0.534818\pi\) |
0.625688 | + | 0.780073i | \(0.284818\pi\) | |||||||
\(504\) | 13.5654 | + | 6.73975i | 0.604251 | + | 0.300212i | ||||
\(505\) | −4.75496 | − | 1.96957i | −0.211593 | − | 0.0876448i | ||||
\(506\) | −9.89851 | + | 5.29930i | −0.440042 | + | 0.235583i | ||||
\(507\) | 15.3398 | − | 12.9497i | 0.681266 | − | 0.575117i | ||||
\(508\) | −5.57640 | − | 8.32176i | −0.247413 | − | 0.369218i | ||||
\(509\) | −2.59149 | − | 13.0283i | −0.114866 | − | 0.577469i | −0.994755 | − | 0.102290i | \(-0.967383\pi\) |
0.879889 | − | 0.475179i | \(-0.157617\pi\) | |||||||
\(510\) | 3.58468 | + | 8.31010i | 0.158732 | + | 0.367977i | ||||
\(511\) | 7.66810i | 0.339217i | ||||||||
\(512\) | −20.0189 | − | 10.5472i | −0.884719 | − | 0.466125i | ||||
\(513\) | 25.4496 | − | 8.89335i | 1.12363 | − | 0.392651i | ||||
\(514\) | −5.02084 | − | 16.5121i | −0.221460 | − | 0.728316i | ||||
\(515\) | 13.5132 | − | 2.68794i | 0.595462 | − | 0.118445i | ||||
\(516\) | 13.0664 | − | 11.0602i | 0.575215 | − | 0.486897i | ||||
\(517\) | −3.71763 | − | 5.56383i | −0.163501 | − | 0.244697i | ||||
\(518\) | 3.86442 | + | 7.21830i | 0.169793 | + | 0.317154i | ||||
\(519\) | 20.4226 | + | 5.88670i | 0.896451 | + | 0.258397i | ||||
\(520\) | −2.28730 | − | 1.86954i | −0.100305 | − | 0.0819846i | ||||
\(521\) | 7.83170 | + | 18.9074i | 0.343113 | + | 0.828348i | 0.997397 | + | 0.0720996i | \(0.0229699\pi\) |
−0.654284 | + | 0.756249i | \(0.727030\pi\) | |||||||
\(522\) | 16.8856 | − | 33.8736i | 0.739062 | − | 1.48261i | ||||
\(523\) | −6.97752 | − | 1.38791i | −0.305105 | − | 0.0606893i | 0.0401632 | − | 0.999193i | \(-0.487212\pi\) |
−0.345269 | + | 0.938504i | \(0.612212\pi\) | |||||||
\(524\) | 24.5135 | − | 24.5786i | 1.07088 | − | 1.07372i | ||||
\(525\) | 5.99918 | − | 11.6086i | 0.261826 | − | 0.506641i | ||||
\(526\) | −26.7940 | − | 2.62104i | −1.16827 | − | 0.114283i | ||||
\(527\) | 7.90551 | + | 7.90551i | 0.344369 | + | 0.344369i | ||||
\(528\) | 3.75785 | − | 13.1681i | 0.163539 | − | 0.573070i | ||||
\(529\) | 4.85484 | − | 4.85484i | 0.211080 | − | 0.211080i | ||||
\(530\) | 12.8862 | − | 10.5897i | 0.559740 | − | 0.459988i | ||||
\(531\) | 26.4586 | + | 10.1082i | 1.14821 | + | 0.438658i | ||||
\(532\) | −17.1227 | − | 7.06588i | −0.742365 | − | 0.306345i | ||||
\(533\) | −2.41848 | + | 12.1585i | −0.104756 | + | 0.526644i | ||||
\(534\) | 4.31086 | + | 20.1364i | 0.186549 | + | 0.871387i | ||||
\(535\) | −8.77026 | + | 3.63276i | −0.379171 | + | 0.157058i | ||||
\(536\) | −15.5629 | − | 8.27876i | −0.672214 | − | 0.357588i | ||||
\(537\) | 26.0083 | + | 7.49676i | 1.12234 | + | 0.323509i | ||||
\(538\) | 28.0433 | + | 8.48653i | 1.20903 | + | 0.365880i | ||||
\(539\) | −6.26685 | + | 4.18737i | −0.269932 | + | 0.180363i | ||||
\(540\) | −7.86976 | + | 4.65192i | −0.338660 | + | 0.200187i | ||||
\(541\) | −3.47342 | − | 17.4621i | −0.149334 | − | 0.750753i | −0.980775 | − | 0.195140i | \(-0.937484\pi\) |
0.831441 | − | 0.555613i | \(-0.187516\pi\) | |||||||
\(542\) | 10.5779 | − | 19.8215i | 0.454360 | − | 0.851405i | ||||
\(543\) | −39.9702 | + | 4.49797i | −1.71529 | + | 0.193026i | ||||
\(544\) | 18.3164 | − | 15.1338i | 0.785307 | − | 0.648854i | ||||
\(545\) | −13.7944 | −0.590887 | ||||||||
\(546\) | 1.91679 | − | 4.82492i | 0.0820309 | − | 0.206487i | ||||
\(547\) | 2.91657 | − | 0.580142i | 0.124704 | − | 0.0248051i | −0.132344 | − | 0.991204i | \(-0.542250\pi\) |
0.257047 | + | 0.966399i | \(0.417250\pi\) | |||||||
\(548\) | 24.4220 | + | 16.2715i | 1.04326 | + | 0.695082i | ||||
\(549\) | −8.43979 | + | 8.92212i | −0.360202 | + | 0.380787i | ||||
\(550\) | −11.3068 | − | 3.42169i | −0.482123 | − | 0.145901i | ||||
\(551\) | −17.7123 | + | 42.7613i | −0.754570 | + | 1.82169i | ||||
\(552\) | −0.312394 | − | 19.6755i | −0.0132964 | − | 0.837443i | ||||
\(553\) | −3.78343 | − | 9.13402i | −0.160888 | − | 0.388418i | ||||
\(554\) | −6.79358 | + | 0.673658i | −0.288632 | + | 0.0286210i | ||||
\(555\) | −4.92391 | − | 0.416012i | −0.209008 | − | 0.0176587i | ||||
\(556\) | −27.0741 | + | 11.2566i | −1.14820 | + | 0.477385i | ||||
\(557\) | −5.14626 | + | 7.70192i | −0.218054 | + | 0.326341i | −0.924329 | − | 0.381597i | \(-0.875374\pi\) |
0.706275 | + | 0.707938i | \(0.250374\pi\) | |||||||
\(558\) | −6.91322 | + | 8.92992i | −0.292660 | + | 0.378034i | ||||
\(559\) | −4.14890 | − | 4.14890i | −0.175480 | − | 0.175480i | ||||
\(560\) | 6.16391 | + | 1.20909i | 0.260473 | + | 0.0510934i | ||||
\(561\) | 11.2407 | + | 8.96674i | 0.474585 | + | 0.378576i | ||||
\(562\) | −25.2332 | − | 2.46836i | −1.06440 | − | 0.104122i | ||||
\(563\) | −11.4925 | + | 17.1998i | −0.484352 | + | 0.724884i | −0.990492 | − | 0.137567i | \(-0.956072\pi\) |
0.506141 | + | 0.862451i | \(0.331072\pi\) | |||||||
\(564\) | 11.6524 | − | 1.32693i | 0.490654 | − | 0.0558738i | ||||
\(565\) | −0.886290 | + | 4.45568i | −0.0372865 | + | 0.187452i | ||||
\(566\) | −20.7498 | − | 17.0059i | −0.872178 | − | 0.714810i | ||||
\(567\) | −11.9738 | − | 10.7123i | −0.502851 | − | 0.449875i | ||||
\(568\) | −24.1967 | + | 12.9954i | −1.01527 | + | 0.545273i | ||||
\(569\) | 1.45541 | − | 3.51367i | 0.0610139 | − | 0.147301i | −0.890432 | − | 0.455116i | \(-0.849598\pi\) |
0.951446 | + | 0.307815i | \(0.0995979\pi\) | |||||||
\(570\) | 9.20392 | − | 6.34548i | 0.385510 | − | 0.265783i | ||||
\(571\) | −26.2434 | + | 17.5353i | −1.09825 | + | 0.733828i | −0.966297 | − | 0.257428i | \(-0.917125\pi\) |
−0.131953 | + | 0.991256i | \(0.542125\pi\) | |||||||
\(572\) | −4.60454 | − | 0.909552i | −0.192525 | − | 0.0380303i | ||||
\(573\) | 3.17767 | + | 9.97461i | 0.132749 | + | 0.416695i | ||||
\(574\) | −7.66839 | − | 25.2191i | −0.320072 | − | 1.05262i | ||||
\(575\) | −16.9754 | −0.707925 | ||||||||
\(576\) | 17.5008 | + | 16.4232i | 0.729199 | + | 0.684302i | ||||
\(577\) | −38.1968 | −1.59015 | −0.795077 | − | 0.606509i | \(-0.792569\pi\) | ||||
−0.795077 | + | 0.606509i | \(0.792569\pi\) | |||||||
\(578\) | 0.263816 | + | 0.867612i | 0.0109733 | + | 0.0360879i | ||||
\(579\) | −0.989840 | − | 3.10707i | −0.0411364 | − | 0.129126i | ||||
\(580\) | 3.04159 | − | 15.3978i | 0.126295 | − | 0.639358i | ||||
\(581\) | −14.0173 | + | 9.36604i | −0.581534 | + | 0.388569i | ||||
\(582\) | −5.74671 | + | 3.96197i | −0.238209 | + | 0.164229i | ||||
\(583\) | 10.1410 | − | 24.4826i | 0.419999 | − | 1.01397i | ||||
\(584\) | −3.50369 | + | 11.6334i | −0.144984 | + | 0.481393i | ||||
\(585\) | 1.81246 | + | 2.55592i | 0.0749361 | + | 0.105674i | ||||
\(586\) | −2.06341 | − | 1.69111i | −0.0852387 | − | 0.0698591i | ||||
\(587\) | 4.56292 | − | 22.9393i | 0.188332 | − | 0.946807i | −0.764804 | − | 0.644263i | \(-0.777164\pi\) |
0.953135 | − | 0.302544i | \(-0.0978359\pi\) | |||||||
\(588\) | −1.49459 | − | 13.1247i | −0.0616360 | − | 0.541255i | ||||
\(589\) | 7.67250 | − | 11.4827i | 0.316140 | − | 0.473137i | ||||
\(590\) | 11.6896 | + | 1.14350i | 0.481252 | + | 0.0470770i | ||||
\(591\) | −7.06264 | − | 5.63386i | −0.290518 | − | 0.231746i | ||||
\(592\) | 2.56459 | + | 12.7167i | 0.105404 | + | 0.522653i | ||||
\(593\) | 0.720946 | + | 0.720946i | 0.0296057 | + | 0.0296057i | 0.721755 | − | 0.692149i | \(-0.243336\pi\) |
−0.692149 | + | 0.721755i | \(0.743336\pi\) | |||||||
\(594\) | −7.55119 | + | 12.4073i | −0.309829 | + | 0.509078i | ||||
\(595\) | −3.66436 | + | 5.48410i | −0.150224 | + | 0.224826i | ||||
\(596\) | −0.507964 | − | 1.22175i | −0.0208070 | − | 0.0500447i | ||||
\(597\) | 21.0930 | + | 1.78211i | 0.863280 | + | 0.0729370i | ||||
\(598\) | −6.71161 | + | 0.665530i | −0.274458 | + | 0.0272156i | ||||
\(599\) | 5.88792 | + | 14.2147i | 0.240574 | + | 0.580797i | 0.997340 | − | 0.0728890i | \(-0.0232219\pi\) |
−0.756766 | + | 0.653686i | \(0.773222\pi\) | |||||||
\(600\) | 14.4056 | − | 14.8705i | 0.588107 | − | 0.607084i | ||||
\(601\) | 13.8900 | − | 33.5333i | 0.566583 | − | 1.36785i | −0.337835 | − | 0.941206i | \(-0.609694\pi\) |
0.904418 | − | 0.426648i | \(-0.140306\pi\) | |||||||
\(602\) | 11.9411 | + | 3.61366i | 0.486684 | + | 0.147282i | ||||
\(603\) | 13.5829 | + | 12.8486i | 0.553140 | + | 0.523237i | ||||
\(604\) | −27.1800 | + | 40.7947i | −1.10594 | + | 1.65991i | ||||
\(605\) | −6.11990 | + | 1.21732i | −0.248809 | + | 0.0494913i | ||||
\(606\) | 5.29113 | − | 13.3188i | 0.214937 | − | 0.541038i | ||||
\(607\) | −26.8428 | −1.08952 | −0.544759 | − | 0.838593i | \(-0.683379\pi\) | ||||
−0.544759 | + | 0.838593i | \(0.683379\pi\) | |||||||
\(608\) | −22.7486 | − | 18.5434i | −0.922579 | − | 0.752036i | ||||
\(609\) | 27.4106 | − | 3.08459i | 1.11073 | − | 0.124994i | ||||
\(610\) | −2.39780 | + | 4.49314i | −0.0970842 | + | 0.181922i | ||||
\(611\) | −0.784189 | − | 3.94239i | −0.0317249 | − | 0.159492i | ||||
\(612\) | −22.9921 | + | 10.3173i | −0.929401 | + | 0.417052i | ||||
\(613\) | 27.1558 | − | 18.1449i | 1.09681 | − | 0.732866i | 0.130811 | − | 0.991407i | \(-0.458242\pi\) |
0.966000 | + | 0.258542i | \(0.0832419\pi\) | |||||||
\(614\) | 30.5824 | + | 9.25494i | 1.23421 | + | 0.373499i | ||||
\(615\) | 15.2861 | + | 4.40613i | 0.616394 | + | 0.177672i | ||||
\(616\) | 9.54430 | − | 2.91598i | 0.384551 | − | 0.117488i | ||||
\(617\) | −17.2960 | + | 7.16425i | −0.696312 | + | 0.288422i | −0.702627 | − | 0.711558i | \(-0.747990\pi\) |
0.00631502 | + | 0.999980i | \(0.497990\pi\) | |||||||
\(618\) | 8.03134 | + | 37.5151i | 0.323068 | + | 1.50908i | ||||
\(619\) | 3.91055 | − | 19.6597i | 0.157178 | − | 0.790189i | −0.819097 | − | 0.573655i | \(-0.805525\pi\) |
0.976275 | − | 0.216534i | \(-0.0694751\pi\) | |||||||
\(620\) | −1.78640 | + | 4.32899i | −0.0717436 | + | 0.173856i | ||||
\(621\) | −5.22162 | + | 20.2079i | −0.209536 | + | 0.810914i | ||||
\(622\) | 26.2855 | − | 21.6011i | 1.05395 | − | 0.866127i | ||||
\(623\) | −10.6119 | + | 10.6119i | −0.425158 | + | 0.425158i | ||||
\(624\) | 5.11258 | − | 6.44414i | 0.204667 | − | 0.257972i | ||||
\(625\) | −9.89341 | − | 9.89341i | −0.395736 | − | 0.395736i | ||||
\(626\) | −0.945461 | − | 0.0924868i | −0.0377882 | − | 0.00369652i | ||||
\(627\) | 8.15445 | − | 15.7791i | 0.325657 | − | 0.630157i | ||||
\(628\) | 29.4304 | + | 29.3524i | 1.17440 | + | 1.17129i | ||||
\(629\) | −13.3601 | − | 2.65749i | −0.532702 | − | 0.105961i | ||||
\(630\) | −5.96264 | − | 2.97230i | −0.237557 | − | 0.118419i | ||||
\(631\) | 18.9135 | + | 45.6613i | 0.752936 | + | 1.81775i | 0.542303 | + | 0.840183i | \(0.317553\pi\) |
0.210633 | + | 0.977565i | \(0.432447\pi\) | |||||||
\(632\) | −1.56641 | − | 15.5861i | −0.0623083 | − | 0.619981i | ||||
\(633\) | 4.42890 | + | 1.27661i | 0.176033 | + | 0.0507406i | ||||
\(634\) | −17.0914 | − | 31.9248i | −0.678787 | − | 1.26790i | ||||
\(635\) | 2.44785 | + | 3.66347i | 0.0971401 | + | 0.145380i | ||||
\(636\) | 30.0064 | + | 35.4493i | 1.18983 | + | 1.40565i | ||||
\(637\) | −4.44053 | + | 0.883276i | −0.175940 | + | 0.0349967i | ||||
\(638\) | −7.25455 | − | 23.8581i | −0.287210 | − | 0.944550i | ||||
\(639\) | 28.4031 | − | 6.47456i | 1.12361 | − | 0.256129i | ||||
\(640\) | 8.79890 | + | 4.65073i | 0.347807 | + | 0.183836i | ||||
\(641\) | 34.0329i | 1.34422i | 0.740453 | + | 0.672109i | \(0.234611\pi\) | ||||
−0.740453 | + | 0.672109i | \(0.765389\pi\) | |||||||
\(642\) | −10.4698 | − | 24.2714i | −0.413210 | − | 0.957914i | ||||
\(643\) | 4.93903 | + | 24.8302i | 0.194776 | + | 0.979207i | 0.947228 | + | 0.320560i | \(0.103871\pi\) |
−0.752452 | + | 0.658647i | \(0.771129\pi\) | |||||||
\(644\) | 11.9134 | − | 7.98318i | 0.469456 | − | 0.314582i | ||||
\(645\) | −5.75352 | + | 4.85705i | −0.226545 | + | 0.191246i | ||||
\(646\) | 27.1689 | − | 14.5453i | 1.06895 | − | 0.572276i | ||||
\(647\) | −17.8713 | − | 7.40254i | −0.702594 | − | 0.291024i | 0.00264227 | − | 0.999997i | \(-0.499159\pi\) |
−0.705236 | + | 0.708973i | \(0.749159\pi\) | |||||||
\(648\) | −13.2709 | − | 21.7229i | −0.521331 | − | 0.853355i | ||||
\(649\) | 17.2405 | − | 7.14125i | 0.676749 | − | 0.280319i | ||||
\(650\) | −5.48841 | − | 4.49813i | −0.215273 | − | 0.176431i | ||||
\(651\) | −8.20104 | − | 0.692891i | −0.321424 | − | 0.0271566i | ||||
\(652\) | 7.79688 | − | 7.81758i | 0.305349 | − | 0.306160i | ||||
\(653\) | −5.16831 | − | 3.45335i | −0.202251 | − | 0.135140i | 0.450320 | − | 0.892867i | \(-0.351310\pi\) |
−0.652572 | + | 0.757727i | \(0.726310\pi\) | |||||||
\(654\) | −0.558853 | − | 38.4070i | −0.0218529 | − | 1.50183i | ||||
\(655\) | −10.7963 | + | 10.7963i | −0.421845 | + | 0.421845i | ||||
\(656\) | −0.110778 | − | 41.7641i | −0.00432514 | − | 1.63061i | ||||
\(657\) | 6.85907 | − | 10.9095i | 0.267598 | − | 0.425618i | ||||
\(658\) | 5.42649 | + | 6.60326i | 0.211547 | + | 0.257422i | ||||
\(659\) | −32.4179 | − | 21.6610i | −1.26282 | − | 0.843792i | −0.269939 | − | 0.962877i | \(-0.587004\pi\) |
−0.992884 | + | 0.119086i | \(0.962004\pi\) | |||||||
\(660\) | −1.66052 | + | 5.78965i | −0.0646358 | + | 0.225362i | ||||
\(661\) | 12.8918 | + | 2.56434i | 0.501432 | + | 0.0997411i | 0.439325 | − | 0.898328i | \(-0.355218\pi\) |
0.0621078 | + | 0.998069i | \(0.480218\pi\) | |||||||
\(662\) | 8.28868 | − | 0.821913i | 0.322149 | − | 0.0319446i | ||||
\(663\) | 4.17707 | + | 7.56032i | 0.162224 | + | 0.293618i | ||||
\(664\) | −25.5453 | + | 7.80462i | −0.991351 | + | 0.302878i | ||||
\(665\) | 7.52710 | + | 3.11783i | 0.291888 | + | 0.120904i | ||||
\(666\) | 0.958797 | − | 13.7262i | 0.0371526 | − | 0.531880i | ||||
\(667\) | −19.9081 | − | 29.7946i | −0.770847 | − | 1.15365i | ||||
\(668\) | −2.39461 | − | 11.9556i | −0.0926504 | − | 0.462578i | ||||
\(669\) | −6.16414 | − | 19.3490i | −0.238320 | − | 0.748077i | ||||
\(670\) | 6.84030 | + | 3.65039i | 0.264264 | + | 0.141027i | ||||
\(671\) | 8.09159i | 0.312372i | ||||||||
\(672\) | −3.11668 | + | 17.2108i | −0.120229 | + | 0.663922i | ||||
\(673\) | 22.2938i | 0.859364i | 0.902980 | + | 0.429682i | \(0.141374\pi\) | ||||
−0.902980 | + | 0.429682i | \(0.858626\pi\) | |||||||
\(674\) | −20.8940 | + | 39.1524i | −0.804809 | + | 1.50810i | ||||
\(675\) | −18.9189 | + | 11.1494i | −0.728189 | + | 0.429141i | ||||
\(676\) | 19.2910 | + | 12.8529i | 0.741963 | + | 0.494342i | ||||
\(677\) | −4.74556 | − | 7.10223i | −0.182387 | − | 0.272961i | 0.728999 | − | 0.684515i | \(-0.239986\pi\) |
−0.911385 | + | 0.411554i | \(0.864986\pi\) | |||||||
\(678\) | −12.4416 | − | 2.28713i | −0.477817 | − | 0.0878369i | ||||
\(679\) | −4.69974 | − | 1.94670i | −0.180360 | − | 0.0747074i | ||||
\(680\) | −8.06504 | + | 6.64570i | −0.309280 | + | 0.254851i | ||||
\(681\) | 29.9037 | − | 16.5218i | 1.14591 | − | 0.633116i | ||||
\(682\) | 0.734203 | + | 7.40416i | 0.0281141 | + | 0.283520i | ||||
\(683\) | 4.27166 | + | 0.849686i | 0.163451 | + | 0.0325123i | 0.276137 | − | 0.961118i | \(-0.410946\pi\) |
−0.112687 | + | 0.993631i | \(0.535946\pi\) | |||||||
\(684\) | 18.0402 | + | 25.3689i | 0.689786 | + | 0.970003i | ||||
\(685\) | −10.7322 | − | 7.17103i | −0.410057 | − | 0.273991i | ||||
\(686\) | 21.0908 | − | 17.3322i | 0.805251 | − | 0.661747i | ||||
\(687\) | −22.8022 | − | 18.1893i | −0.869957 | − | 0.693964i | ||||
\(688\) | 16.4649 | + | 10.9384i | 0.627719 | + | 0.417024i | ||||
\(689\) | 11.2560 | − | 11.2560i | 0.428821 | − | 0.428821i | ||||
\(690\) | 0.125926 | + | 8.65418i | 0.00479390 | + | 0.329459i | ||||
\(691\) | 15.3523 | + | 10.2581i | 0.584028 | + | 0.390235i | 0.812194 | − | 0.583387i | \(-0.198273\pi\) |
−0.228166 | + | 0.973622i | \(0.573273\pi\) | |||||||
\(692\) | 0.0325483 | + | 24.5420i | 0.00123730 | + | 0.932948i | ||||
\(693\) | −10.5811 | + | 0.293949i | −0.401943 | + | 0.0111662i | ||||
\(694\) | 3.54716 | − | 4.32807i | 0.134648 | − | 0.164291i | ||||
\(695\) | 11.9148 | − | 4.93526i | 0.451953 | − | 0.187205i | ||||
\(696\) | 42.9944 | + | 7.84471i | 1.62970 | + | 0.297353i | ||||
\(697\) | 40.5158 | + | 16.7822i | 1.53464 | + | 0.635670i | ||||
\(698\) | −1.95928 | − | 3.65971i | −0.0741598 | − | 0.138522i | ||||
\(699\) | −21.6325 | − | 25.6253i | −0.818218 | − | 0.969237i | ||||
\(700\) | 14.8026 | + | 2.92402i | 0.559485 | + | 0.110517i | ||||
\(701\) | 1.06892 | + | 5.37381i | 0.0403724 | + | 0.202966i | 0.995707 | − | 0.0925602i | \(-0.0295051\pi\) |
−0.955335 | + | 0.295526i | \(0.904505\pi\) | |||||||
\(702\) | −7.04289 | + | 5.14989i | −0.265817 | + | 0.194370i | ||||
\(703\) | 16.8263i | 0.634616i | ||||||||
\(704\) | 15.8122 | − | 0.0629120i | 0.595944 | − | 0.00237108i | ||||
\(705\) | −5.12593 | + | 0.576836i | −0.193054 | + | 0.0217249i | ||||
\(706\) | −23.2557 | + | 7.07138i | −0.875240 | + | 0.266135i | ||||
\(707\) | 10.2437 | − | 2.03760i | 0.385253 | − | 0.0766317i | ||||
\(708\) | −2.71019 | + | 32.5930i | −0.101855 | + | 1.22492i | ||||
\(709\) | 22.7601 | + | 34.0630i | 0.854775 | + | 1.27926i | 0.958626 | + | 0.284668i | \(0.0918834\pi\) |
−0.103851 | + | 0.994593i | \(0.533117\pi\) | |||||||
\(710\) | 10.6502 | − | 5.70173i | 0.399695 | − | 0.213982i | ||||
\(711\) | −2.78761 | + | 16.3793i | −0.104544 | + | 0.614271i | ||||
\(712\) | −20.9483 | + | 11.2507i | −0.785071 | + | 0.421639i | ||||
\(713\) | 4.09161 | + | 9.87801i | 0.153232 | + | 0.369935i | ||||
\(714\) | −15.4175 | − | 9.98030i | −0.576987 | − | 0.373503i | ||||
\(715\) | 2.02472 | + | 0.402741i | 0.0757201 | + | 0.0150617i | ||||
\(716\) | 0.0414506 | + | 31.2545i | 0.00154908 | + | 1.16803i | ||||
\(717\) | −46.3725 | − | 23.9647i | −1.73181 | − | 0.894980i | ||||
\(718\) | 0.206497 | − | 2.11095i | 0.00770642 | − | 0.0787801i | ||||
\(719\) | 10.4105 | + | 10.4105i | 0.388248 | + | 0.388248i | 0.874062 | − | 0.485814i | \(-0.161477\pi\) |
−0.485814 | + | 0.874062i | \(0.661477\pi\) | |||||||
\(720\) | −7.68791 | − | 7.23376i | −0.286511 | − | 0.269586i | ||||
\(721\) | −19.7706 | + | 19.7706i | −0.736294 | + | 0.736294i | ||||
\(722\) | −7.10907 | − | 8.65073i | −0.264572 | − | 0.321947i | ||||
\(723\) | −14.8556 | + | 28.7460i | −0.552484 | + | 1.06907i | ||||
\(724\) | −17.8306 | − | 42.8860i | −0.662670 | − | 1.59384i | ||||
\(725\) | 7.35531 | − | 36.9776i | 0.273169 | − | 1.37331i | ||||
\(726\) | −3.63727 | − | 16.9900i | −0.134992 | − | 0.630558i | ||||
\(727\) | 26.9114 | − | 11.1471i | 0.998088 | − | 0.413422i | 0.176993 | − | 0.984212i | \(-0.443363\pi\) |
0.821096 | + | 0.570790i | \(0.193363\pi\) | |||||||
\(728\) | 5.96717 | + | 0.575731i | 0.221158 | + | 0.0213380i | ||||
\(729\) | 7.45303 | + | 25.9510i | 0.276038 | + | 0.961147i | ||||
\(730\) | 1.54784 | − | 5.11475i | 0.0572882 | − | 0.189306i | ||||
\(731\) | −17.2582 | + | 11.5316i | −0.638319 | + | 0.426511i | ||||
\(732\) | −12.6071 | − | 6.49404i | −0.465973 | − | 0.240027i | ||||
\(733\) | 0.362733 | + | 1.82358i | 0.0133978 | + | 0.0673555i | 0.986906 | − | 0.161298i | \(-0.0515679\pi\) |
−0.973508 | + | 0.228653i | \(0.926568\pi\) | |||||||
\(734\) | −1.05488 | − | 0.562948i | −0.0389365 | − | 0.0207788i | ||||
\(735\) | 0.649722 | + | 5.77362i | 0.0239654 | + | 0.212963i | ||||
\(736\) | 21.7217 | − | 6.66794i | 0.800674 | − | 0.245784i | ||||
\(737\) | 12.3185 | 0.453759 | ||||||||
\(738\) | −11.6485 | + | 42.7387i | −0.428786 | + | 1.57323i | ||||
\(739\) | −18.0176 | + | 3.58392i | −0.662788 | + | 0.131837i | −0.515010 | − | 0.857184i | \(-0.672212\pi\) |
−0.147777 | + | 0.989021i | \(0.547212\pi\) | |||||||
\(740\) | −1.12059 | − | 5.59478i | −0.0411935 | − | 0.205668i | ||||
\(741\) | 8.15279 | − | 6.88248i | 0.299500 | − | 0.252834i | ||||
\(742\) | −9.80391 | + | 32.3965i | −0.359913 | + | 1.18931i | ||||
\(743\) | −5.48417 | + | 13.2400i | −0.201195 | + | 0.485727i | −0.991984 | − | 0.126361i | \(-0.959670\pi\) |
0.790790 | + | 0.612088i | \(0.209670\pi\) | |||||||
\(744\) | −12.1253 | − | 4.79840i | −0.444536 | − | 0.175918i | ||||
\(745\) | 0.222709 | + | 0.537666i | 0.00815941 | + | 0.0196986i | ||||
\(746\) | 0.586288 | + | 5.91248i | 0.0214655 | + | 0.216471i | ||||
\(747\) | 28.3203 | − | 0.786754i | 1.03619 | − | 0.0287858i | ||||
\(748\) | −6.33353 | + | 15.3480i | −0.231577 | + | 0.561180i | ||||
\(749\) | 10.7025 | − | 16.0175i | 0.391062 | − | 0.585265i | ||||
\(750\) | −13.8514 | + | 14.2604i | −0.505780 | + | 0.520717i | ||||
\(751\) | −22.4584 | − | 22.4584i | −0.819518 | − | 0.819518i | 0.166520 | − | 0.986038i | \(-0.446747\pi\) |
−0.986038 | + | 0.166520i | \(0.946747\pi\) | |||||||
\(752\) | 5.21546 | + | 12.4974i | 0.190188 | + | 0.455732i | ||||
\(753\) | 15.0576 | − | 18.8762i | 0.548728 | − | 0.687888i | ||||
\(754\) | 1.45836 | − | 14.9083i | 0.0531102 | − | 0.542928i | ||||
\(755\) | 11.9786 | − | 17.9272i | 0.435944 | − | 0.652437i | ||||
\(756\) | 8.03406 | − | 16.7219i | 0.292196 | − | 0.608168i | ||||
\(757\) | −2.33825 | + | 11.7552i | −0.0849853 | + | 0.427250i | 0.914745 | + | 0.404031i | \(0.132391\pi\) |
−0.999730 | + | 0.0232186i | \(0.992609\pi\) | |||||||
\(758\) | 16.7538 | − | 20.4422i | 0.608525 | − | 0.742493i | ||||
\(759\) | 6.65003 | + | 12.0363i | 0.241381 | + | 0.436889i | ||||
\(760\) | 9.99488 | + | 8.16937i | 0.362552 | + | 0.296334i | ||||
\(761\) | 7.55526 | − | 18.2400i | 0.273878 | − | 0.661200i | −0.725764 | − | 0.687943i | \(-0.758514\pi\) |
0.999642 | + | 0.0267435i | \(0.00851372\pi\) | |||||||
\(762\) | −10.1008 | + | 6.96384i | −0.365914 | + | 0.252273i | ||||
\(763\) | 23.2755 | − | 15.5522i | 0.842630 | − | 0.563027i | ||||
\(764\) | −10.0419 | + | 6.72907i | −0.363304 | + | 0.243449i | ||||
\(765\) | 10.1188 | − | 4.52452i | 0.365846 | − | 0.163584i | ||||
\(766\) | −45.5976 | + | 13.8649i | −1.64751 | + | 0.500960i | ||||
\(767\) | 11.2097 | 0.404757 | ||||||||
\(768\) | −12.5923 | + | 24.6867i | −0.454385 | + | 0.890805i | ||||
\(769\) | −2.86963 | −0.103482 | −0.0517408 | − | 0.998661i | \(-0.516477\pi\) | ||||
−0.0517408 | + | 0.998661i | \(0.516477\pi\) | |||||||
\(770\) | −4.19964 | + | 1.27699i | −0.151345 | + | 0.0460195i | ||||
\(771\) | −20.1400 | + | 6.41613i | −0.725324 | + | 0.231071i | ||||
\(772\) | 3.12804 | − | 2.09610i | 0.112581 | − | 0.0754402i | ||||
\(773\) | −34.5172 | + | 23.0637i | −1.24150 | + | 0.829542i | −0.990375 | − | 0.138413i | \(-0.955800\pi\) |
−0.251123 | + | 0.967955i | \(0.580800\pi\) | |||||||
\(774\) | −13.7563 | − | 15.8224i | −0.494461 | − | 0.568726i | ||||
\(775\) | −4.30494 | + | 10.3930i | −0.154638 | + | 0.373329i | ||||
\(776\) | −6.24057 | − | 5.10076i | −0.224023 | − | 0.183107i | ||||
\(777\) | 8.77721 | − | 4.84941i | 0.314881 | − | 0.173972i | ||||
\(778\) | 9.15417 | − | 11.1695i | 0.328193 | − | 0.400446i | ||||
\(779\) | 10.5681 | − | 53.1295i | 0.378642 | − | 1.90356i | ||||
\(780\) | −2.25246 | + | 2.83139i | −0.0806510 | + | 0.101380i | ||||
\(781\) | 10.6632 | − | 15.9586i | 0.381560 | − | 0.571045i | ||||
\(782\) | −2.32285 | + | 23.7457i | −0.0830650 | + | 0.849145i | ||||
\(783\) | −41.7564 | − | 20.1302i | −1.49225 | − | 0.719393i | ||||
\(784\) | 14.0765 | − | 5.87446i | 0.502732 | − | 0.209802i | ||||
\(785\) | −12.9274 | − | 12.9274i | −0.461400 | − | 0.461400i | ||||
\(786\) | −30.4969 | − | 29.6221i | −1.08779 | − | 1.05658i | ||||
\(787\) | −7.99533 | + | 11.9659i | −0.285003 | + | 0.426537i | −0.946154 | − | 0.323715i | \(-0.895068\pi\) |
0.661152 | + | 0.750252i | \(0.270068\pi\) | |||||||
\(788\) | 3.97940 | − | 9.64327i | 0.141760 | − | 0.343527i | ||||
\(789\) | −2.77589 | + | 32.8554i | −0.0988245 | + | 1.16968i | ||||
\(790\) | 0.679872 | + | 6.85625i | 0.0241888 | + | 0.243934i | ||||
\(791\) | −3.52801 | − | 8.51737i | −0.125442 | − | 0.302843i | ||||
\(792\) | −16.1871 | − | 4.38874i | −0.575182 | − | 0.155947i | ||||
\(793\) | −1.86008 | + | 4.49063i | −0.0660533 | + | 0.159467i | ||||
\(794\) | −6.30446 | + | 20.8327i | −0.223737 | + | 0.739326i | ||||
\(795\) | −13.1773 | − | 15.6094i | −0.467350 | − | 0.553608i | ||||
\(796\) | 4.80036 | + | 23.9669i | 0.170144 | + | 0.849484i | ||||
\(797\) | 1.85963 | − | 0.369903i | 0.0658713 | − | 0.0131026i | −0.162045 | − | 0.986783i | \(-0.551809\pi\) |
0.227916 | + | 0.973681i | \(0.426809\pi\) | |||||||
\(798\) | −8.37584 | + | 21.0836i | −0.296502 | + | 0.746351i | ||||
\(799\) | −14.2196 | −0.503053 | ||||||||
\(800\) | 21.1212 | + | 11.1996i | 0.746747 | + | 0.395967i | ||||
\(801\) | 24.5900 | − | 5.60535i | 0.868844 | − | 0.198055i | ||||
\(802\) | 19.8797 | + | 10.6090i | 0.701978 | + | 0.374617i | ||||
\(803\) | −1.65636 | − | 8.32711i | −0.0584518 | − | 0.293857i | ||||
\(804\) | −9.88645 | + | 19.1930i | −0.348668 | + | 0.676883i | ||||
\(805\) | −5.24463 | + | 3.50435i | −0.184849 | + | 0.123512i | ||||
\(806\) | −1.29459 | + | 4.27790i | −0.0455999 | + | 0.150682i | ||||
\(807\) | 9.93876 | − | 34.4803i | 0.349861 | − | 1.21376i | ||||
\(808\) | 16.4719 | + | 1.58926i | 0.579478 | + | 0.0559099i | ||||
\(809\) | 22.5374 | − | 9.33528i | 0.792371 | − | 0.328211i | 0.0504747 | − | 0.998725i | \(-0.483927\pi\) |
0.741896 | + | 0.670514i | \(0.233927\pi\) | |||||||
\(810\) | 5.82437 | + | 9.56226i | 0.204648 | + | 0.335984i | ||||
\(811\) | −2.20624 | + | 11.0915i | −0.0774717 | + | 0.389477i | 0.922522 | + | 0.385944i | \(0.126124\pi\) |
−0.999994 | + | 0.00353228i | \(0.998876\pi\) | |||||||
\(812\) | 12.2278 | + | 29.4101i | 0.429111 | + | 1.03209i | ||||
\(813\) | −24.4454 | − | 12.6331i | −0.857339 | − | 0.443062i | ||||
\(814\) | −5.75573 | − | 7.00391i | −0.201738 | − | 0.245487i | ||||
\(815\) | −3.43392 | + | 3.43392i | −0.120285 | + | 0.120285i | ||||
\(816\) | −18.8300 | − | 22.1858i | −0.659182 | − | 0.776659i | ||||
\(817\) | 18.1296 | + | 18.1296i | 0.634274 | + | 0.634274i | ||||
\(818\) | 0.207128 | − | 2.11739i | 0.00724205 | − | 0.0740330i | ||||
\(819\) | −5.93982 | − | 2.26923i | −0.207554 | − | 0.0792933i | ||||
\(820\) | 0.0243621 | + | 18.3694i | 0.000850761 | + | 0.641489i | ||||
\(821\) | −11.0924 | − | 2.20641i | −0.387126 | − | 0.0770042i | −0.00230971 | − | 0.999997i | \(-0.500735\pi\) |
−0.384816 | + | 0.922993i | \(0.625735\pi\) | |||||||
\(822\) | 19.5311 | − | 30.1716i | 0.681226 | − | 1.05236i | ||||
\(823\) | −11.3597 | − | 27.4247i | −0.395973 | − | 0.955964i | −0.988611 | − | 0.150495i | \(-0.951913\pi\) |
0.592637 | − | 0.805469i | \(-0.298087\pi\) | |||||||
\(824\) | −39.0277 | + | 20.9607i | −1.35960 | + | 0.730200i | ||||
\(825\) | −4.00722 | + | 13.9021i | −0.139513 | + | 0.484010i | ||||
\(826\) | −21.0132 | + | 11.2497i | −0.731144 | + | 0.391428i | ||||
\(827\) | 14.3360 | + | 21.4553i | 0.498510 | + | 0.746073i | 0.992347 | − | 0.123482i | \(-0.0394060\pi\) |
−0.493837 | + | 0.869555i | \(0.664406\pi\) | |||||||
\(828\) | −24.0902 | + | 0.701215i | −0.837194 | + | 0.0243689i | ||||
\(829\) | −8.32245 | + | 1.65544i | −0.289051 | + | 0.0574958i | −0.337486 | − | 0.941331i | \(-0.609577\pi\) |
0.0484353 | + | 0.998826i | \(0.484577\pi\) | |||||||
\(830\) | 11.2403 | − | 3.41786i | 0.390158 | − | 0.118636i | ||||
\(831\) | 0.935010 | + | 8.30877i | 0.0324351 | + | 0.288228i | ||||
\(832\) | 8.78982 | + | 3.59996i | 0.304732 | + | 0.124806i | ||||
\(833\) | 16.0163i | 0.554932i | ||||||||
\(834\) | 14.2237 | + | 32.9737i | 0.492526 | + | 1.14179i | ||||
\(835\) | 1.04627 | + | 5.25993i | 0.0362075 | + | 0.182028i | ||||
\(836\) | 20.1206 | + | 3.97450i | 0.695885 | + | 0.137461i | ||||
\(837\) | 11.0479 | + | 8.32157i | 0.381871 | + | 0.287635i | ||||
\(838\) | −12.2710 | − | 22.9208i | −0.423895 | − | 0.791788i | ||||
\(839\) | 27.4216 | + | 11.3584i | 0.946700 | + | 0.392136i | 0.801990 | − | 0.597338i | \(-0.203775\pi\) |
0.144710 | + | 0.989474i | \(0.453775\pi\) | |||||||
\(840\) | 1.38087 | − | 7.56814i | 0.0476446 | − | 0.261126i | ||||
\(841\) | 46.7352 | − | 19.3584i | 1.61156 | − | 0.667530i | ||||
\(842\) | −20.8033 | + | 25.3832i | −0.716928 | + | 0.874761i | ||||
\(843\) | −2.61419 | + | 30.9415i | −0.0900377 | + | 1.06568i | ||||
\(844\) | 0.00705853 | + | 5.32226i | 0.000242965 | + | 0.183200i | ||||
\(845\) | −8.47742 | − | 5.66443i | −0.291632 | − | 0.194862i | ||||
\(846\) | −1.81372 | − | 14.2485i | −0.0623569 | − | 0.489873i | ||||
\(847\) | 8.95377 | − | 8.95377i | 0.307655 | − | 0.307655i | ||||
\(848\) | −29.6762 | + | 44.6696i | −1.01908 | + | 1.53396i | ||||
\(849\) | −20.4900 | + | 25.6864i | −0.703215 | + | 0.881553i | ||||
\(850\) | −19.3944 | + | 15.9381i | −0.665221 | + | 0.546671i | ||||
\(851\) | −10.8316 | − | 7.23743i | −0.371302 | − | 0.248096i | ||||
\(852\) | 16.3065 | + | 29.4217i | 0.558651 | + | 1.00797i | ||||
\(853\) | 30.8656 | + | 6.13955i | 1.05682 | + | 0.210214i | 0.692765 | − | 0.721164i | \(-0.256392\pi\) |
0.364054 | + | 0.931378i | \(0.381392\pi\) | |||||||
\(854\) | −1.01984 | − | 10.2847i | −0.0348982 | − | 0.351935i | ||||
\(855\) | −7.91997 | − | 11.1687i | −0.270857 | − | 0.381961i | ||||
\(856\) | 23.5556 | − | 19.4101i | 0.805114 | − | 0.663425i | ||||
\(857\) | −7.21423 | − | 2.98823i | −0.246433 | − | 0.102076i | 0.256048 | − | 0.966664i | \(-0.417579\pi\) |
−0.502481 | + | 0.864588i | \(0.667579\pi\) | |||||||
\(858\) | −1.03930 | + | 5.65362i | −0.0354812 | + | 0.193011i | ||||
\(859\) | −10.7585 | − | 16.1013i | −0.367077 | − | 0.549369i | 0.601248 | − | 0.799062i | \(-0.294670\pi\) |
−0.968325 | + | 0.249693i | \(0.919670\pi\) | |||||||
\(860\) | −7.23550 | − | 4.82074i | −0.246729 | − | 0.164386i | ||||
\(861\) | −30.7600 | + | 9.79942i | −1.04830 | + | 0.333963i | ||||
\(862\) | 13.5006 | − | 25.2982i | 0.459832 | − | 0.861660i | ||||
\(863\) | − | 27.4934i | − | 0.935887i | −0.883758 | − | 0.467944i | \(-0.844995\pi\) | ||
0.883758 | − | 0.467944i | \(-0.155005\pi\) | |||||||
\(864\) | 19.8291 | − | 21.6981i | 0.674600 | − | 0.738184i | ||||
\(865\) | − | 10.7945i | − | 0.367024i | ||||||
\(866\) | 0.743512 | + | 0.396782i | 0.0252656 | + | 0.0134832i | ||||
\(867\) | 1.05824 | − | 0.337129i | 0.0359396 | − | 0.0114495i | ||||
\(868\) | −1.86640 | − | 9.31841i | −0.0633497 | − | 0.316287i | ||||
\(869\) | 6.08160 | + | 9.10176i | 0.206304 | + | 0.308756i | ||||
\(870\) | −18.9060 | − | 3.47547i | −0.640972 | − | 0.117830i | ||||
\(871\) | 6.83648 | + | 2.83176i | 0.231645 | + | 0.0959506i | ||||
\(872\) | 42.4177 | − | 12.9595i | 1.43644 | − | 0.438863i | ||||
\(873\) | 4.94504 | + | 6.97347i | 0.167364 | + | 0.236016i | ||||
\(874\) | 29.3279 | − | 2.90819i | 0.992033 | − | 0.0983709i | ||||
\(875\) | −14.2099 | − | 2.82652i | −0.480381 | − | 0.0955538i | ||||
\(876\) | 14.3034 | + | 4.10235i | 0.483268 | + | 0.138606i | ||||
\(877\) | 26.0250 | + | 17.3894i | 0.878803 | + | 0.587198i | 0.911056 | − | 0.412282i | \(-0.135268\pi\) |
−0.0322529 | + | 0.999480i | \(0.510268\pi\) | |||||||
\(878\) | −3.20088 | − | 3.89502i | −0.108025 | − | 0.131450i | ||||
\(879\) | −2.03758 | + | 2.55432i | −0.0687258 | + | 0.0861550i | ||||
\(880\) | −6.95482 | + | 0.0184474i | −0.234447 | + | 0.000621861i | ||||
\(881\) | 37.7482 | − | 37.7482i | 1.27177 | − | 1.27177i | 0.326610 | − | 0.945159i | \(-0.394094\pi\) |
0.945159 | − | 0.326610i | \(-0.105906\pi\) | |||||||
\(882\) | −16.0488 | + | 2.04289i | −0.540393 | + | 0.0687878i | ||||
\(883\) | 15.4764 | + | 10.3410i | 0.520823 | + | 0.348003i | 0.788031 | − | 0.615636i | \(-0.211101\pi\) |
−0.267207 | + | 0.963639i | \(0.586101\pi\) | |||||||
\(884\) | −7.04313 | + | 7.06183i | −0.236886 | + | 0.237515i | ||||
\(885\) | 1.21106 | − | 14.3340i | 0.0407092 | − | 0.481833i | ||||
\(886\) | 4.15603 | + | 3.40616i | 0.139625 | + | 0.114432i | ||||
\(887\) | −41.2430 | + | 17.0834i | −1.38481 | + | 0.573605i | −0.945762 | − | 0.324860i | \(-0.894683\pi\) |
−0.439044 | + | 0.898466i | \(0.644683\pi\) | |||||||
\(888\) | 15.5318 | − | 3.34665i | 0.521214 | − | 0.112306i | ||||
\(889\) | −8.26061 | − | 3.42166i | −0.277052 | − | 0.114759i | ||||
\(890\) | 9.22041 | − | 4.93628i | 0.309069 | − | 0.165464i | ||||
\(891\) | 15.3167 | + | 9.04654i | 0.513130 | + | 0.303071i | ||||
\(892\) | 19.4796 | − | 13.0533i | 0.652225 | − | 0.437055i | ||||
\(893\) | 3.42670 | + | 17.2272i | 0.114670 | + | 0.576485i | ||||
\(894\) | −1.48797 | + | 0.641858i | −0.0497652 | + | 0.0214669i | ||||
\(895\) | − | 13.7469i | − | 0.459508i | ||||||
\(896\) | −20.0899 | + | 2.07288i | −0.671157 | + | 0.0692502i | ||||
\(897\) | 0.923728 | + | 8.20852i | 0.0308424 | + | 0.274074i | ||||
\(898\) | −12.7776 | − | 42.0218i | −0.426394 | − | 1.40229i | ||||
\(899\) | −23.2901 | + | 4.63270i | −0.776770 | + | 0.154509i | ||||
\(900\) | −18.4442 | − | 17.4009i | −0.614807 | − | 0.580028i | ||||
\(901\) | −31.2854 | − | 46.8219i | −1.04227 | − | 1.55986i | ||||
\(902\) | 13.7749 | + | 25.7300i | 0.458655 | + | 0.856716i | ||||
\(903\) | 4.23203 | − | 14.6821i | 0.140833 | − | 0.488589i | ||||
\(904\) | −1.46066 | − | 14.5338i | −0.0485808 | − | 0.483389i | ||||
\(905\) | 7.81755 | + | 18.8732i | 0.259864 | + | 0.627368i | ||||
\(906\) | 50.3990 | + | 32.6250i | 1.67439 | + | 1.08389i | ||||
\(907\) | −23.7082 | − | 4.71586i | −0.787219 | − | 0.156588i | −0.214919 | − | 0.976632i | \(-0.568949\pi\) |
−0.572300 | + | 0.820044i | \(0.693949\pi\) | |||||||
\(908\) | 27.9320 | + | 27.8580i | 0.926956 | + | 0.924501i | ||||
\(909\) | −16.3964 | − | 6.26402i | −0.543833 | − | 0.207764i | ||||
\(910\) | −2.62425 | − | 0.256709i | −0.0869929 | − | 0.00850981i | ||||
\(911\) | 26.8640 | + | 26.8640i | 0.890044 | + | 0.890044i | 0.994527 | − | 0.104483i | \(-0.0333187\pi\) |
−0.104483 | + | 0.994527i | \(0.533319\pi\) | |||||||
\(912\) | −22.3406 | + | 28.1592i | −0.739771 | + | 0.932443i | ||||
\(913\) | 13.1988 | − | 13.1988i | 0.436817 | − | 0.436817i | ||||
\(914\) | 0.655855 | − | 0.538974i | 0.0216937 | − | 0.0178277i | ||||
\(915\) | 5.54130 | + | 2.86367i | 0.183190 | + | 0.0946701i | ||||
\(916\) | 12.8477 | − | 31.1339i | 0.424501 | − | 1.02869i | ||||
\(917\) | 6.04470 | − | 30.3888i | 0.199614 | − | 1.00353i | ||||
\(918\) | 13.0073 | + | 27.9899i | 0.429305 | + | 0.923805i | ||||
\(919\) | −38.5707 | + | 15.9765i | −1.27233 | + | 0.527017i | −0.913672 | − | 0.406452i | \(-0.866766\pi\) |
−0.358659 | + | 0.933469i | \(0.616766\pi\) | |||||||
\(920\) | −9.55791 | + | 2.92014i | −0.315115 | + | 0.0962741i | ||||
\(921\) | 10.8387 | − | 37.6023i | 0.357146 | − | 1.23904i | ||||
\(922\) | 41.4362 | + | 12.5395i | 1.36463 | + | 0.412968i | ||||
\(923\) | 9.58636 | − | 6.40540i | 0.315539 | − | 0.210836i | ||||
\(924\) | −3.72559 | − | 11.6411i | −0.122563 | − | 0.382964i | ||||
\(925\) | −2.67396 | − | 13.4429i | −0.0879191 | − | 0.441999i | ||||
\(926\) | −5.36922 | + | 10.0611i | −0.176444 | + | 0.330630i | ||||
\(927\) | 45.8124 | − | 10.4430i | 1.50468 | − | 0.342994i | ||||
\(928\) | 5.11295 | + | 50.2056i | 0.167841 | + | 1.64808i | ||||
\(929\) | −28.3483 | −0.930079 | −0.465039 | − | 0.885290i | \(-0.653960\pi\) | ||||
−0.465039 | + | 0.885290i | \(0.653960\pi\) | |||||||
\(930\) | 5.33037 | + | 2.11759i | 0.174790 | + | 0.0694384i | ||||
\(931\) | 19.4039 | − | 3.85968i | 0.635937 | − | 0.126496i | ||||
\(932\) | 21.4708 | − | 32.2258i | 0.703299 | − | 1.05559i | ||||
\(933\) | −26.8793 | − | 31.8404i | −0.879988 | − | 1.04241i | ||||
\(934\) | 9.37290 | + | 2.83645i | 0.306691 | + | 0.0928115i | ||||
\(935\) | 2.79467 | − | 6.74694i | 0.0913956 | − | 0.220649i | ||||
\(936\) | −7.97454 | − | 6.15669i | −0.260656 | − | 0.201238i | ||||
\(937\) | −0.724125 | − | 1.74819i | −0.0236561 | − | 0.0571109i | 0.911610 | − | 0.411056i | \(-0.134840\pi\) |
−0.935266 | + | 0.353945i | \(0.884840\pi\) | |||||||
\(938\) | −15.6573 | + | 1.55259i | −0.511229 | + | 0.0506940i | ||||
\(939\) | −0.0979510 | + | 1.15935i | −0.00319651 | + | 0.0378338i | ||||
\(940\) | −2.28666 | − | 5.49985i | −0.0745827 | − | 0.179385i | ||||
\(941\) | 7.46179 | − | 11.1674i | 0.243247 | − | 0.364045i | −0.689677 | − | 0.724117i | \(-0.742248\pi\) |
0.932925 | + | 0.360071i | \(0.117248\pi\) | |||||||
\(942\) | 35.4694 | − | 36.5169i | 1.15566 | − | 1.18978i | ||||
\(943\) | 29.6554 | + | 29.6554i | 0.965711 | + | 0.965711i | ||||
\(944\) | −37.0197 | + | 7.46581i | −1.20489 | + | 0.242991i | ||||
\(945\) | −3.54343 | + | 7.35021i | −0.115268 | + | 0.239102i | ||||
\(946\) | −13.7479 | − | 1.34485i | −0.446984 | − | 0.0437248i | ||||
\(947\) | 30.9959 | − | 46.3886i | 1.00723 | − | 1.50743i | 0.152535 | − | 0.988298i | \(-0.451256\pi\) |
0.854696 | − | 0.519129i | \(-0.173744\pi\) | |||||||
\(948\) | −19.0619 | + | 2.17070i | −0.619103 | + | 0.0705010i | ||||
\(949\) | 0.994979 | − | 5.00210i | 0.0322984 | − | 0.162375i | ||||
\(950\) | 23.9829 | + | 19.6556i | 0.778107 | + | 0.637713i | ||||
\(951\) | −38.8196 | + | 21.4478i | −1.25881 | + | 0.695493i | ||||
\(952\) | 6.11572 | − | 20.3062i | 0.198212 | − | 0.658127i | ||||
\(953\) | 2.99580 | − | 7.23249i | 0.0970433 | − | 0.234283i | −0.867901 | − | 0.496737i | \(-0.834532\pi\) |
0.964945 | + | 0.262453i | \(0.0845315\pi\) | |||||||
\(954\) | 42.9265 | − | 37.3211i | 1.38980 | − | 1.20832i | ||||
\(955\) | 4.42073 | − | 2.95384i | 0.143052 | − | 0.0955840i | ||||
\(956\) | 11.6805 | − | 59.1314i | 0.377773 | − | 1.91245i | ||||
\(957\) | −29.1000 | + | 9.27057i | −0.940670 | + | 0.299675i | ||||
\(958\) | 7.02666 | + | 23.1086i | 0.227021 | + | 0.746605i | ||||
\(959\) | 26.1935 | 0.845831 | ||||||||
\(960\) | 5.55296 | − | 10.8508i | 0.179221 | − | 0.350208i | ||||
\(961\) | −23.9147 | −0.771441 | ||||||||
\(962\) | −1.58424 | − | 5.21011i | −0.0510780 | − | 0.167981i | ||||
\(963\) | −29.5541 | + | 13.2148i | −0.952367 | + | 0.425841i | ||||
\(964\) | −36.6551 | − | 7.24063i | −1.18058 | − | 0.233205i | ||||
\(965\) | −1.37705 | + | 0.920116i | −0.0443289 | + | 0.0296196i | ||||
\(966\) | −9.96945 | − | 14.4604i | −0.320762 | − | 0.465255i | ||||
\(967\) | −9.28824 | + | 22.4238i | −0.298690 | + | 0.721100i | 0.701277 | + | 0.712889i | \(0.252614\pi\) |
−0.999966 | + | 0.00821123i | \(0.997386\pi\) | |||||||
\(968\) | 17.6750 | − | 9.49276i | 0.568097 | − | 0.305109i | ||||
\(969\) | −18.2527 | − | 33.0365i | −0.586361 | − | 1.06129i | ||||
\(970\) | 2.74186 | + | 2.24714i | 0.0880358 | + | 0.0721514i | ||||
\(971\) | 8.86554 | − | 44.5701i | 0.284509 | − | 1.43032i | −0.528927 | − | 0.848667i | \(-0.677405\pi\) |
0.813436 | − | 0.581655i | \(-0.197595\pi\) | |||||||
\(972\) | −26.3877 | + | 16.6039i | −0.846386 | + | 0.532570i | ||||
\(973\) | −14.5398 | + | 21.7604i | −0.466126 | + | 0.697607i | ||||
\(974\) | 24.1809 | + | 2.36542i | 0.774807 | + | 0.0757931i | ||||
\(975\) | −5.41970 | + | 6.79416i | −0.173569 | + | 0.217587i | ||||
\(976\) | 3.15205 | − | 16.0691i | 0.100895 | − | 0.514358i | ||||
\(977\) | −1.87488 | − | 1.87488i | −0.0599827 | − | 0.0599827i | 0.676479 | − | 0.736462i | \(-0.263505\pi\) |
−0.736462 | + | 0.676479i | \(0.763505\pi\) | |||||||
\(978\) | −9.69998 | − | 9.42174i | −0.310171 | − | 0.301274i | ||||
\(979\) | 9.23169 | − | 13.8162i | 0.295046 | − | 0.441568i | ||||
\(980\) | −6.19479 | + | 2.57560i | −0.197885 | + | 0.0822744i | ||||
\(981\) | −47.0256 | + | 1.30640i | −1.50141 | + | 0.0417100i | ||||
\(982\) | −17.9124 | + | 1.77621i | −0.571607 | + | 0.0566811i | ||||
\(983\) | 8.99875 | + | 21.7249i | 0.287015 | + | 0.692917i | 0.999966 | − | 0.00829821i | \(-0.00264143\pi\) |
−0.712950 | + | 0.701215i | \(0.752641\pi\) | |||||||
\(984\) | −51.1441 | + | 0.812033i | −1.63041 | + | 0.0258867i | ||||
\(985\) | −1.75591 | + | 4.23915i | −0.0559480 | + | 0.135071i | ||||
\(986\) | −50.7189 | − | 15.3487i | −1.61522 | − | 0.488801i | ||||
\(987\) | 7.99872 | − | 6.75243i | 0.254602 | − | 0.214932i | ||||
\(988\) | 10.2528 | + | 6.83103i | 0.326184 | + | 0.217324i | ||||
\(989\) | −19.4685 | + | 3.87253i | −0.619064 | + | 0.123139i | ||||
\(990\) | 7.11711 | + | 1.93978i | 0.226197 | + | 0.0616501i | ||||
\(991\) | 3.38571 | 0.107551 | 0.0537753 | − | 0.998553i | \(-0.482875\pi\) | ||||
0.0537753 | + | 0.998553i | \(0.482875\pi\) | |||||||
\(992\) | 1.42621 | − | 14.9899i | 0.0452822 | − | 0.475929i | ||||
\(993\) | −1.14078 | − | 10.1373i | −0.0362016 | − | 0.321698i | ||||
\(994\) | −11.5419 | + | 21.6280i | −0.366088 | + | 0.685997i | ||||
\(995\) | −2.09740 | − | 10.5443i | −0.0664920 | − | 0.334278i | ||||
\(996\) | 9.97154 | + | 31.1574i | 0.315960 | + | 0.987259i | ||||
\(997\) | 25.0444 | − | 16.7341i | 0.793164 | − | 0.529975i | −0.0917213 | − | 0.995785i | \(-0.529237\pi\) |
0.884885 | + | 0.465810i | \(0.154237\pi\) | |||||||
\(998\) | −7.27722 | − | 2.20225i | −0.230356 | − | 0.0697111i | ||||
\(999\) | −16.8252 | − | 0.951883i | −0.532325 | − | 0.0301162i |
(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 | 192.2.s.a.11.28 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.11.3 | ✓ | 240 | |
4.3 | odd | 2 | 768.2.s.a.719.19 | 240 | |||
12.11 | even | 2 | 768.2.s.a.719.16 | 240 | |||
64.29 | even | 16 | 768.2.s.a.47.16 | 240 | |||
64.35 | odd | 16 | inner | 192.2.s.a.35.3 | yes | 240 | |
192.29 | odd | 16 | 768.2.s.a.47.19 | 240 | |||
192.35 | even | 16 | inner | 192.2.s.a.35.28 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.11.3 | ✓ | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.11.28 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.35.3 | yes | 240 | 64.35 | odd | 16 | inner | |
192.2.s.a.35.28 | yes | 240 | 192.35 | even | 16 | inner | |
768.2.s.a.47.16 | 240 | 64.29 | even | 16 | |||
768.2.s.a.47.19 | 240 | 192.29 | odd | 16 | |||
768.2.s.a.719.16 | 240 | 12.11 | even | 2 | |||
768.2.s.a.719.19 | 240 | 4.3 | odd | 2 |