Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 16.1 | ||
Character | \(\chi\) | \(=\) | 81.16 |
Dual form | 81.2.g.a.76.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.56136 | − | 0.607053i | −1.81115 | − | 0.429251i | −0.821200 | − | 0.570641i | \(-0.806695\pi\) |
−0.989954 | + | 0.141389i | \(0.954843\pi\) | |||||||
\(3\) | −0.0414290 | − | 1.73156i | −0.0239191 | − | 0.999714i | ||||
\(4\) | 4.40478 | + | 2.21216i | 2.20239 | + | 1.10608i | ||||
\(5\) | 0.734947 | − | 0.987205i | 0.328678 | − | 0.441491i | −0.606811 | − | 0.794846i | \(-0.707552\pi\) |
0.935489 | + | 0.353354i | \(0.114959\pi\) | |||||||
\(6\) | −0.945031 | + | 4.46028i | −0.385807 | + | 1.82090i | ||||
\(7\) | −3.16543 | − | 2.08193i | −1.19642 | − | 0.786897i | −0.214597 | − | 0.976703i | \(-0.568844\pi\) |
−0.981822 | + | 0.189806i | \(0.939214\pi\) | |||||||
\(8\) | −5.90638 | − | 4.95604i | −2.08822 | − | 1.75222i | ||||
\(9\) | −2.99657 | + | 0.143473i | −0.998856 | + | 0.0478244i | ||||
\(10\) | −2.48175 | + | 2.08243i | −0.784798 | + | 0.658523i | ||||
\(11\) | 0.129870 | − | 0.0151796i | 0.0391571 | − | 0.00457681i | −0.0964918 | − | 0.995334i | \(-0.530762\pi\) |
0.135649 | + | 0.990757i | \(0.456688\pi\) | |||||||
\(12\) | 3.64800 | − | 7.71876i | 1.05309 | − | 2.22822i | ||||
\(13\) | 0.399089 | − | 1.33305i | 0.110687 | − | 0.369722i | −0.884641 | − | 0.466274i | \(-0.845596\pi\) |
0.995328 | + | 0.0965519i | \(0.0307814\pi\) | |||||||
\(14\) | 6.84395 | + | 7.25416i | 1.82912 | + | 1.93876i | ||||
\(15\) | −1.73985 | − | 1.23170i | −0.449227 | − | 0.318024i | ||||
\(16\) | 6.23290 | + | 8.37223i | 1.55822 | + | 2.09306i | ||||
\(17\) | 0.456801 | + | 2.59065i | 0.110791 | + | 0.628325i | 0.988749 | + | 0.149587i | \(0.0477944\pi\) |
−0.877958 | + | 0.478738i | \(0.841094\pi\) | |||||||
\(18\) | 7.76238 | + | 1.45159i | 1.82961 | + | 0.342143i | ||||
\(19\) | 0.985248 | − | 5.58762i | 0.226031 | − | 1.28189i | −0.634672 | − | 0.772781i | \(-0.718865\pi\) |
0.860704 | − | 0.509106i | \(-0.170024\pi\) | |||||||
\(20\) | 5.42113 | − | 2.72260i | 1.21220 | − | 0.608791i | ||||
\(21\) | −3.47384 | + | 5.56736i | −0.758055 | + | 1.21490i | ||||
\(22\) | −0.341857 | − | 0.0399574i | −0.0728842 | − | 0.00851894i | ||||
\(23\) | 2.62409 | − | 1.72589i | 0.547161 | − | 0.359874i | −0.245633 | − | 0.969363i | \(-0.578996\pi\) |
0.792794 | + | 0.609489i | \(0.208625\pi\) | |||||||
\(24\) | −8.33696 | + | 10.4325i | −1.70177 | + | 2.12953i | ||||
\(25\) | 0.999590 | + | 3.33886i | 0.199918 | + | 0.667772i | ||||
\(26\) | −1.83144 | + | 3.17215i | −0.359176 | + | 0.622110i | ||||
\(27\) | 0.372577 | + | 5.18278i | 0.0717024 | + | 0.997426i | ||||
\(28\) | −9.33742 | − | 16.1729i | −1.76461 | − | 3.05639i | ||||
\(29\) | 6.43864 | − | 6.82456i | 1.19563 | − | 1.26729i | 0.240647 | − | 0.970613i | \(-0.422640\pi\) |
0.954978 | − | 0.296676i | \(-0.0958781\pi\) | |||||||
\(30\) | 3.70867 | + | 4.21101i | 0.677107 | + | 0.768822i | ||||
\(31\) | 0.0441051 | + | 0.757255i | 0.00792151 | + | 0.136007i | 0.999950 | + | 0.00999374i | \(0.00318116\pi\) |
−0.992029 | + | 0.126013i | \(0.959782\pi\) | |||||||
\(32\) | −4.77456 | − | 11.0687i | −0.844031 | − | 1.95668i | ||||
\(33\) | −0.0316646 | − | 0.224247i | −0.00551211 | − | 0.0390365i | ||||
\(34\) | 0.402630 | − | 6.91288i | 0.0690504 | − | 1.18555i | ||||
\(35\) | −4.38171 | + | 1.59481i | −0.740645 | + | 0.269573i | ||||
\(36\) | −13.5166 | − | 5.99693i | −2.25277 | − | 0.999488i | ||||
\(37\) | 7.99641 | + | 2.91045i | 1.31460 | + | 0.478476i | 0.901725 | − | 0.432311i | \(-0.142302\pi\) |
0.412877 | + | 0.910787i | \(0.364524\pi\) | |||||||
\(38\) | −5.91555 | + | 13.7138i | −0.959630 | + | 2.22467i | ||||
\(39\) | −2.32479 | − | 0.635818i | −0.372264 | − | 0.101812i | ||||
\(40\) | −9.23350 | + | 2.18838i | −1.45994 | + | 0.346013i | ||||
\(41\) | −3.25673 | + | 0.771860i | −0.508616 | + | 0.120544i | −0.476909 | − | 0.878953i | \(-0.658243\pi\) |
−0.0317078 | + | 0.999497i | \(0.510095\pi\) | |||||||
\(42\) | 12.2774 | − | 12.1512i | 1.89445 | − | 1.87497i | ||||
\(43\) | 0.269764 | − | 0.625383i | 0.0411386 | − | 0.0953699i | −0.896408 | − | 0.443230i | \(-0.853832\pi\) |
0.937546 | + | 0.347860i | \(0.113092\pi\) | |||||||
\(44\) | 0.605626 | + | 0.220430i | 0.0913016 | + | 0.0332311i | ||||
\(45\) | −2.06068 | + | 3.06367i | −0.307188 | + | 0.456705i | ||||
\(46\) | −7.76895 | + | 2.82767i | −1.14547 | + | 0.416917i | ||||
\(47\) | 0.170679 | − | 2.93045i | 0.0248961 | − | 0.427450i | −0.962714 | − | 0.270522i | \(-0.912804\pi\) |
0.987610 | − | 0.156928i | \(-0.0501592\pi\) | |||||||
\(48\) | 14.2388 | − | 11.1395i | 2.05519 | − | 1.60784i | ||||
\(49\) | 2.91292 | + | 6.75290i | 0.416131 | + | 0.964700i | ||||
\(50\) | −0.533441 | − | 9.15882i | −0.0754399 | − | 1.29525i | ||||
\(51\) | 4.46693 | − | 0.898305i | 0.625495 | − | 0.125788i | ||||
\(52\) | 4.70682 | − | 4.98894i | 0.652719 | − | 0.691842i | ||||
\(53\) | 2.13391 | + | 3.69605i | 0.293116 | + | 0.507691i | 0.974545 | − | 0.224193i | \(-0.0719746\pi\) |
−0.681429 | + | 0.731884i | \(0.738641\pi\) | |||||||
\(54\) | 2.19192 | − | 13.5011i | 0.298282 | − | 1.83727i | ||||
\(55\) | 0.0804619 | − | 0.139364i | 0.0108495 | − | 0.0187918i | ||||
\(56\) | 8.37806 | + | 27.9847i | 1.11956 | + | 3.73961i | ||||
\(57\) | −9.71609 | − | 1.47452i | −1.28693 | − | 0.195305i | ||||
\(58\) | −20.6345 | + | 13.5715i | −2.70945 | + | 1.78203i | ||||
\(59\) | 6.02083 | + | 0.703734i | 0.783846 | + | 0.0916184i | 0.498596 | − | 0.866835i | \(-0.333849\pi\) |
0.285250 | + | 0.958453i | \(0.407923\pi\) | |||||||
\(60\) | −4.93892 | − | 9.27420i | −0.637612 | − | 1.19729i | ||||
\(61\) | −6.40683 | + | 3.21763i | −0.820311 | + | 0.411976i | −0.808891 | − | 0.587959i | \(-0.799932\pi\) |
−0.0114202 | + | 0.999935i | \(0.503635\pi\) | |||||||
\(62\) | 0.346725 | − | 1.96638i | 0.0440341 | − | 0.249730i | ||||
\(63\) | 9.78411 | + | 5.78450i | 1.23268 | + | 0.728778i | ||||
\(64\) | 1.88515 | + | 10.6912i | 0.235644 | + | 1.33640i | ||||
\(65\) | −1.02268 | − | 1.37370i | −0.126848 | − | 0.170387i | ||||
\(66\) | −0.0550256 | + | 0.593600i | −0.00677318 | + | 0.0730671i | ||||
\(67\) | −2.14194 | − | 2.27033i | −0.261680 | − | 0.277364i | 0.583191 | − | 0.812335i | \(-0.301804\pi\) |
−0.844870 | + | 0.534971i | \(0.820323\pi\) | |||||||
\(68\) | −3.71883 | + | 12.4218i | −0.450974 | + | 1.50636i | ||||
\(69\) | −3.09719 | − | 4.47226i | −0.372858 | − | 0.538397i | ||||
\(70\) | 12.1913 | − | 1.42496i | 1.45714 | − | 0.170315i | ||||
\(71\) | 2.02173 | − | 1.69643i | 0.239935 | − | 0.201329i | −0.514889 | − | 0.857257i | \(-0.672167\pi\) |
0.754824 | + | 0.655928i | \(0.227722\pi\) | |||||||
\(72\) | 18.4099 | + | 14.0037i | 2.16963 | + | 1.65035i | ||||
\(73\) | 4.57069 | + | 3.83527i | 0.534959 | + | 0.448884i | 0.869810 | − | 0.493387i | \(-0.164241\pi\) |
−0.334851 | + | 0.942271i | \(0.608686\pi\) | |||||||
\(74\) | −18.7149 | − | 12.3090i | −2.17556 | − | 1.43089i | ||||
\(75\) | 5.74001 | − | 1.86917i | 0.662799 | − | 0.215833i | ||||
\(76\) | 16.7005 | − | 22.4327i | 1.91568 | − | 2.57321i | ||||
\(77\) | −0.442695 | − | 0.222330i | −0.0504498 | − | 0.0253368i | ||||
\(78\) | 5.56863 | + | 3.03983i | 0.630523 | + | 0.344192i | ||||
\(79\) | 0.977446 | + | 0.231659i | 0.109971 | + | 0.0260637i | 0.285233 | − | 0.958458i | \(-0.407929\pi\) |
−0.175262 | + | 0.984522i | \(0.556077\pi\) | |||||||
\(80\) | 12.8460 | 1.43622 | ||||||||
\(81\) | 8.95883 | − | 0.859855i | 0.995426 | − | 0.0955394i | ||||
\(82\) | 8.81022 | 0.972926 | ||||||||
\(83\) | −8.83274 | − | 2.09340i | −0.969519 | − | 0.229780i | −0.284800 | − | 0.958587i | \(-0.591927\pi\) |
−0.684719 | + | 0.728807i | \(0.740075\pi\) | |||||||
\(84\) | −27.6174 | + | 16.8383i | −3.01331 | + | 1.83721i | ||||
\(85\) | 2.89323 | + | 1.45303i | 0.313814 | + | 0.157604i | ||||
\(86\) | −1.07060 | + | 1.43807i | −0.115446 | + | 0.155071i | ||||
\(87\) | −12.0838 | − | 10.8661i | −1.29552 | − | 1.16497i | ||||
\(88\) | −0.842289 | − | 0.553982i | −0.0897883 | − | 0.0590547i | ||||
\(89\) | −7.18159 | − | 6.02607i | −0.761247 | − | 0.638762i | 0.177204 | − | 0.984174i | \(-0.443295\pi\) |
−0.938451 | + | 0.345412i | \(0.887739\pi\) | |||||||
\(90\) | 7.13795 | − | 6.59622i | 0.752406 | − | 0.695302i | ||||
\(91\) | −4.03861 | + | 3.38880i | −0.423361 | + | 0.355242i | ||||
\(92\) | 15.3765 | − | 1.79726i | 1.60311 | − | 0.187377i | ||||
\(93\) | 1.30940 | − | 0.107743i | 0.135779 | − | 0.0111724i | ||||
\(94\) | −2.21611 | + | 7.40232i | −0.228574 | + | 0.763491i | ||||
\(95\) | −4.79202 | − | 5.07924i | −0.491651 | − | 0.521119i | ||||
\(96\) | −18.9682 | + | 8.72598i | −1.93594 | + | 0.890592i | ||||
\(97\) | −8.36129 | − | 11.2312i | −0.848960 | − | 1.14035i | −0.988662 | − | 0.150158i | \(-0.952022\pi\) |
0.139702 | − | 0.990194i | \(-0.455386\pi\) | |||||||
\(98\) | −3.36166 | − | 19.0649i | −0.339578 | − | 1.92585i | ||||
\(99\) | −0.386985 | + | 0.0641194i | −0.0388935 | + | 0.00644424i | ||||
\(100\) | −2.98313 | + | 16.9182i | −0.298313 | + | 1.69182i | ||||
\(101\) | −6.47506 | + | 3.25190i | −0.644293 | + | 0.323576i | −0.740770 | − | 0.671759i | \(-0.765539\pi\) |
0.0964767 | + | 0.995335i | \(0.469243\pi\) | |||||||
\(102\) | −11.9867 | − | 0.410781i | −1.18686 | − | 0.0406734i | ||||
\(103\) | 5.60076 | + | 0.654635i | 0.551859 | + | 0.0645031i | 0.387453 | − | 0.921890i | \(-0.373355\pi\) |
0.164406 | + | 0.986393i | \(0.447429\pi\) | |||||||
\(104\) | −8.96382 | + | 5.89560i | −0.878975 | + | 0.578111i | ||||
\(105\) | 2.94304 | + | 7.52111i | 0.287211 | + | 0.733985i | ||||
\(106\) | −3.22202 | − | 10.7623i | −0.312950 | − | 1.04533i | ||||
\(107\) | −7.97908 | + | 13.8202i | −0.771366 | + | 1.33605i | 0.165448 | + | 0.986219i | \(0.447093\pi\) |
−0.936814 | + | 0.349827i | \(0.886240\pi\) | |||||||
\(108\) | −9.82403 | + | 23.6532i | −0.945318 | + | 2.27603i | ||||
\(109\) | 9.37030 | + | 16.2298i | 0.897512 | + | 1.55454i | 0.830664 | + | 0.556774i | \(0.187961\pi\) |
0.0668480 | + | 0.997763i | \(0.478706\pi\) | |||||||
\(110\) | −0.290693 | + | 0.308117i | −0.0277165 | + | 0.0293778i | ||||
\(111\) | 4.70833 | − | 13.9668i | 0.446895 | − | 1.32567i | ||||
\(112\) | −2.29934 | − | 39.4782i | −0.217267 | − | 3.73034i | ||||
\(113\) | −0.111235 | − | 0.257872i | −0.0104641 | − | 0.0242586i | 0.912904 | − | 0.408175i | \(-0.133835\pi\) |
−0.923368 | + | 0.383916i | \(0.874575\pi\) | |||||||
\(114\) | 23.9913 | + | 9.67496i | 2.24699 | + | 0.906143i | ||||
\(115\) | 0.224759 | − | 3.85896i | 0.0209589 | − | 0.359850i | ||||
\(116\) | 43.4578 | − | 15.8173i | 4.03496 | − | 1.46860i | ||||
\(117\) | −1.00464 | + | 4.05184i | −0.0928790 | + | 0.374592i | ||||
\(118\) | −14.9943 | − | 5.45748i | −1.38034 | − | 0.502402i | ||||
\(119\) | 3.94759 | − | 9.15154i | 0.361875 | − | 0.838920i | ||||
\(120\) | 4.17183 | + | 15.8977i | 0.380835 | + | 1.45125i | ||||
\(121\) | −10.6869 | + | 2.53283i | −0.971533 | + | 0.230257i | ||||
\(122\) | 18.3635 | − | 4.35222i | 1.66255 | − | 0.394032i | ||||
\(123\) | 1.47144 | + | 5.60724i | 0.132675 | + | 0.505588i | ||||
\(124\) | −1.48090 | + | 3.43311i | −0.132989 | + | 0.308302i | ||||
\(125\) | 9.81337 | + | 3.57177i | 0.877735 | + | 0.319469i | ||||
\(126\) | −21.5491 | − | 20.7557i | −1.91975 | − | 1.84906i | ||||
\(127\) | 16.6155 | − | 6.04753i | 1.47438 | − | 0.536632i | 0.525097 | − | 0.851042i | \(-0.324029\pi\) |
0.949287 | + | 0.314411i | \(0.101807\pi\) | |||||||
\(128\) | 0.259773 | − | 4.46014i | 0.0229609 | − | 0.394224i | ||||
\(129\) | −1.09406 | − | 0.441202i | −0.0963267 | − | 0.0388457i | ||||
\(130\) | 1.78555 | + | 4.13937i | 0.156603 | + | 0.363047i | ||||
\(131\) | 0.348972 | + | 5.99162i | 0.0304898 | + | 0.523490i | 0.978629 | + | 0.205634i | \(0.0659258\pi\) |
−0.948139 | + | 0.317856i | \(0.897037\pi\) | |||||||
\(132\) | 0.356596 | − | 1.05781i | 0.0310377 | − | 0.0920703i | ||||
\(133\) | −14.7518 | + | 15.6360i | −1.27914 | + | 1.35581i | ||||
\(134\) | 4.10807 | + | 7.11539i | 0.354883 | + | 0.614676i | ||||
\(135\) | 5.39029 | + | 3.44126i | 0.463922 | + | 0.296176i | ||||
\(136\) | 10.1413 | − | 17.5653i | 0.869611 | − | 1.50621i | ||||
\(137\) | 1.10389 | + | 3.68724i | 0.0943114 | + | 0.315022i | 0.992108 | − | 0.125389i | \(-0.0400179\pi\) |
−0.897796 | + | 0.440411i | \(0.854833\pi\) | |||||||
\(138\) | 5.21812 | + | 13.3352i | 0.444196 | + | 1.13517i | ||||
\(139\) | −7.92970 | + | 5.21544i | −0.672588 | + | 0.442368i | −0.839323 | − | 0.543634i | \(-0.817048\pi\) |
0.166735 | + | 0.986002i | \(0.446678\pi\) | |||||||
\(140\) | −22.8285 | − | 2.66826i | −1.92936 | − | 0.225510i | ||||
\(141\) | −5.08131 | − | 0.174135i | −0.427923 | − | 0.0146648i | ||||
\(142\) | −6.20819 | + | 3.11787i | −0.520979 | + | 0.261646i | ||||
\(143\) | 0.0315944 | − | 0.179181i | 0.00264206 | − | 0.0149838i | ||||
\(144\) | −19.8785 | − | 24.1937i | −1.65654 | − | 2.01614i | ||||
\(145\) | −2.00518 | − | 11.3719i | −0.166521 | − | 0.944388i | ||||
\(146\) | −9.37897 | − | 12.5981i | −0.776209 | − | 1.04263i | ||||
\(147\) | 11.5723 | − | 5.32364i | 0.954471 | − | 0.439087i | ||||
\(148\) | 28.7840 | + | 30.5093i | 2.36603 | + | 2.50785i | ||||
\(149\) | 4.21842 | − | 14.0905i | 0.345586 | − | 1.15434i | −0.591811 | − | 0.806077i | \(-0.701587\pi\) |
0.937397 | − | 0.348262i | \(-0.113228\pi\) | |||||||
\(150\) | −15.8369 | + | 1.30312i | −1.29308 | + | 0.106400i | ||||
\(151\) | 10.5101 | − | 1.22845i | 0.855297 | − | 0.0999699i | 0.322867 | − | 0.946444i | \(-0.395353\pi\) |
0.532429 | + | 0.846474i | \(0.321279\pi\) | |||||||
\(152\) | −33.5117 | + | 28.1197i | −2.71816 | + | 2.28081i | ||||
\(153\) | −1.74052 | − | 7.69752i | −0.140713 | − | 0.622307i | ||||
\(154\) | 0.998935 | + | 0.838206i | 0.0804965 | + | 0.0675446i | ||||
\(155\) | 0.779981 | + | 0.513001i | 0.0626496 | + | 0.0412053i | ||||
\(156\) | −8.83363 | − | 7.94344i | −0.707256 | − | 0.635984i | ||||
\(157\) | 4.64652 | − | 6.24136i | 0.370833 | − | 0.498115i | −0.577061 | − | 0.816701i | \(-0.695801\pi\) |
0.947894 | + | 0.318586i | \(0.103208\pi\) | |||||||
\(158\) | −2.36296 | − | 1.18672i | −0.187987 | − | 0.0944106i | ||||
\(159\) | 6.31150 | − | 3.84811i | 0.500535 | − | 0.305175i | ||||
\(160\) | −14.4361 | − | 3.42142i | −1.14127 | − | 0.270487i | ||||
\(161\) | −11.8996 | −0.937817 | ||||||||
\(162\) | −23.4688 | − | 3.23609i | −1.84388 | − | 0.254251i | ||||
\(163\) | −16.0980 | −1.26089 | −0.630446 | − | 0.776233i | \(-0.717128\pi\) | ||||
−0.630446 | + | 0.776233i | \(0.717128\pi\) | |||||||
\(164\) | −16.0527 | − | 3.80455i | −1.25350 | − | 0.297086i | ||||
\(165\) | −0.244650 | − | 0.133550i | −0.0190460 | − | 0.0103969i | ||||
\(166\) | 21.3530 | + | 10.7239i | 1.65731 | + | 0.832334i | ||||
\(167\) | −2.83393 | + | 3.80663i | −0.219296 | + | 0.294566i | −0.898134 | − | 0.439723i | \(-0.855077\pi\) |
0.678837 | + | 0.734289i | \(0.262484\pi\) | |||||||
\(168\) | 48.1099 | − | 15.6664i | 3.71176 | − | 1.20869i | ||||
\(169\) | 9.24359 | + | 6.07960i | 0.711045 | + | 0.467662i | ||||
\(170\) | −6.52852 | − | 5.47808i | −0.500715 | − | 0.420149i | ||||
\(171\) | −2.15069 | + | 16.8850i | −0.164467 | + | 1.29123i | ||||
\(172\) | 2.57170 | − | 2.15791i | 0.196090 | − | 0.164539i | ||||
\(173\) | 23.7230 | − | 2.77282i | 1.80363 | − | 0.210814i | 0.853163 | − | 0.521644i | \(-0.174681\pi\) |
0.950465 | + | 0.310830i | \(0.100607\pi\) | |||||||
\(174\) | 24.3547 | + | 35.1676i | 1.84633 | + | 2.66605i | ||||
\(175\) | 3.78716 | − | 12.6500i | 0.286282 | − | 0.956250i | ||||
\(176\) | 0.936550 | + | 0.992685i | 0.0705951 | + | 0.0748265i | ||||
\(177\) | 0.969118 | − | 10.4546i | 0.0728434 | − | 0.785813i | ||||
\(178\) | 14.7365 | + | 19.7945i | 1.10455 | + | 1.48366i | ||||
\(179\) | 1.52251 | + | 8.63457i | 0.113798 | + | 0.645378i | 0.987339 | + | 0.158627i | \(0.0507069\pi\) |
−0.873541 | + | 0.486751i | \(0.838182\pi\) | |||||||
\(180\) | −15.8542 | + | 8.93623i | −1.18170 | + | 0.666067i | ||||
\(181\) | 0.0939796 | − | 0.532985i | 0.00698545 | − | 0.0396165i | −0.981116 | − | 0.193421i | \(-0.938042\pi\) |
0.988101 | + | 0.153805i | \(0.0491527\pi\) | |||||||
\(182\) | 12.4015 | − | 6.22827i | 0.919261 | − | 0.461670i | ||||
\(183\) | 5.83694 | + | 10.9605i | 0.431479 | + | 0.810222i | ||||
\(184\) | −24.0525 | − | 2.81133i | −1.77317 | − | 0.207254i | ||||
\(185\) | 8.75015 | − | 5.75506i | 0.643324 | − | 0.423121i | ||||
\(186\) | −3.41925 | − | 0.518909i | −0.250712 | − | 0.0380482i | ||||
\(187\) | 0.0986495 | + | 0.329512i | 0.00721397 | + | 0.0240963i | ||||
\(188\) | 7.23444 | − | 12.5304i | 0.527625 | − | 0.913874i | ||||
\(189\) | 9.61083 | − | 17.1814i | 0.699085 | − | 1.24976i | ||||
\(190\) | 9.19071 | + | 15.9188i | 0.666764 | + | 1.15487i | ||||
\(191\) | −0.619164 | + | 0.656275i | −0.0448011 | + | 0.0474864i | −0.749387 | − | 0.662133i | \(-0.769651\pi\) |
0.704585 | + | 0.709619i | \(0.251133\pi\) | |||||||
\(192\) | 18.4343 | − | 3.70717i | 1.33038 | − | 0.267542i | ||||
\(193\) | −0.806968 | − | 13.8551i | −0.0580868 | − | 0.997312i | −0.893891 | − | 0.448284i | \(-0.852035\pi\) |
0.835804 | − | 0.549028i | \(-0.185002\pi\) | |||||||
\(194\) | 14.5983 | + | 33.8428i | 1.04810 | + | 2.42977i | ||||
\(195\) | −2.33628 | + | 1.82775i | −0.167304 | + | 0.130888i | ||||
\(196\) | −2.10776 | + | 36.1889i | −0.150554 | + | 2.58492i | ||||
\(197\) | −20.0246 | + | 7.28837i | −1.42670 | + | 0.519275i | −0.935983 | − | 0.352047i | \(-0.885486\pi\) |
−0.490713 | + | 0.871321i | \(0.663264\pi\) | |||||||
\(198\) | 1.03013 | + | 0.0706876i | 0.0732082 | + | 0.00502355i | ||||
\(199\) | −18.1056 | − | 6.58992i | −1.28348 | − | 0.467147i | −0.391895 | − | 0.920010i | \(-0.628180\pi\) |
−0.891580 | + | 0.452863i | \(0.850403\pi\) | |||||||
\(200\) | 10.6436 | − | 24.6746i | 0.752614 | − | 1.74476i | ||||
\(201\) | −3.84245 | + | 3.80295i | −0.271026 | + | 0.268239i | ||||
\(202\) | 18.5590 | − | 4.39857i | 1.30581 | − | 0.309482i | ||||
\(203\) | −34.5893 | + | 8.19782i | −2.42769 | + | 0.575374i | ||||
\(204\) | 21.6630 | + | 5.92474i | 1.51671 | + | 0.414814i | ||||
\(205\) | −1.63154 | + | 3.78234i | −0.113952 | + | 0.264170i | ||||
\(206\) | −13.9481 | − | 5.07671i | −0.971813 | − | 0.353711i | ||||
\(207\) | −7.61565 | + | 5.54824i | −0.529324 | + | 0.385630i | ||||
\(208\) | 13.6481 | − | 4.96750i | 0.946325 | − | 0.344434i | ||||
\(209\) | 0.0431360 | − | 0.740617i | 0.00298378 | − | 0.0512296i | ||||
\(210\) | −2.97246 | − | 21.0508i | −0.205119 | − | 1.45265i | ||||
\(211\) | 0.232227 | + | 0.538362i | 0.0159872 | + | 0.0370624i | 0.926023 | − | 0.377468i | \(-0.123205\pi\) |
−0.910036 | + | 0.414530i | \(0.863946\pi\) | |||||||
\(212\) | 1.22316 | + | 21.0008i | 0.0840069 | + | 1.44234i | ||||
\(213\) | −3.02122 | − | 3.43045i | −0.207010 | − | 0.235050i | ||||
\(214\) | 28.8268 | − | 30.5547i | 1.97056 | − | 2.08867i | ||||
\(215\) | −0.419119 | − | 0.725935i | −0.0285837 | − | 0.0495084i | ||||
\(216\) | 23.4855 | − | 32.4579i | 1.59798 | − | 2.20848i | ||||
\(217\) | 1.43694 | − | 2.48886i | 0.0975461 | − | 0.168955i | ||||
\(218\) | −14.1483 | − | 47.2587i | −0.958246 | − | 3.20076i | ||||
\(219\) | 6.45162 | − | 8.07330i | 0.435960 | − | 0.545543i | ||||
\(220\) | 0.662712 | − | 0.435873i | 0.0446801 | − | 0.0293865i | ||||
\(221\) | 3.63577 | + | 0.424961i | 0.244568 | + | 0.0285860i | ||||
\(222\) | −20.5383 | + | 32.9158i | −1.37844 | + | 2.20916i | ||||
\(223\) | −10.5161 | + | 5.28141i | −0.704213 | + | 0.353669i | −0.764599 | − | 0.644506i | \(-0.777063\pi\) |
0.0603861 | + | 0.998175i | \(0.480767\pi\) | |||||||
\(224\) | −7.93073 | + | 44.9774i | −0.529894 | + | 3.00518i | ||||
\(225\) | −3.47437 | − | 9.86171i | −0.231625 | − | 0.657447i | ||||
\(226\) | 0.128371 | + | 0.728029i | 0.00853913 | + | 0.0484278i | ||||
\(227\) | 16.5908 | + | 22.2853i | 1.10117 | + | 1.47913i | 0.861144 | + | 0.508362i | \(0.169749\pi\) |
0.240026 | + | 0.970766i | \(0.422844\pi\) | |||||||
\(228\) | −39.5353 | − | 27.9885i | −2.61829 | − | 1.85358i | ||||
\(229\) | −12.5001 | − | 13.2493i | −0.826029 | − | 0.875539i | 0.167873 | − | 0.985809i | \(-0.446310\pi\) |
−0.993902 | + | 0.110269i | \(0.964829\pi\) | |||||||
\(230\) | −2.91828 | + | 9.74773i | −0.192426 | + | 0.642746i | ||||
\(231\) | −0.366636 | + | 0.775762i | −0.0241229 | + | 0.0510414i | ||||
\(232\) | −71.8518 | + | 8.39827i | −4.71730 | + | 0.551374i | ||||
\(233\) | 14.3791 | − | 12.0655i | 0.942004 | − | 0.790435i | −0.0359291 | − | 0.999354i | \(-0.511439\pi\) |
0.977933 | + | 0.208919i | \(0.0669946\pi\) | |||||||
\(234\) | 5.03292 | − | 9.76833i | 0.329012 | − | 0.638576i | ||||
\(235\) | −2.76751 | − | 2.32222i | −0.180533 | − | 0.151485i | ||||
\(236\) | 24.9637 | + | 16.4189i | 1.62500 | + | 1.06878i | ||||
\(237\) | 0.360636 | − | 1.70210i | 0.0234258 | − | 0.110563i | ||||
\(238\) | −15.6667 | + | 21.0440i | −1.01552 | + | 1.36408i | ||||
\(239\) | 10.4680 | + | 5.25725i | 0.677121 | + | 0.340063i | 0.753904 | − | 0.656985i | \(-0.228168\pi\) |
−0.0767826 | + | 0.997048i | \(0.524465\pi\) | |||||||
\(240\) | −0.532195 | − | 22.2435i | −0.0343531 | − | 1.43581i | ||||
\(241\) | 15.4884 | + | 3.67081i | 0.997694 | + | 0.236458i | 0.696851 | − | 0.717216i | \(-0.254584\pi\) |
0.300843 | + | 0.953674i | \(0.402732\pi\) | |||||||
\(242\) | 28.9104 | 1.85843 | ||||||||
\(243\) | −1.86004 | − | 15.4771i | −0.119322 | − | 0.992856i | ||||
\(244\) | −35.3386 | −2.26232 | ||||||||
\(245\) | 8.80734 | + | 2.08738i | 0.562680 | + | 0.133358i | ||||
\(246\) | −0.364999 | − | 15.2554i | −0.0232715 | − | 0.972648i | ||||
\(247\) | −7.05538 | − | 3.54334i | −0.448923 | − | 0.225458i | ||||
\(248\) | 3.49248 | − | 4.69122i | 0.221773 | − | 0.297893i | ||||
\(249\) | −3.25890 | + | 15.3811i | −0.206524 | + | 0.974738i | ||||
\(250\) | −22.9673 | − | 15.1058i | −1.45258 | − | 0.955377i | ||||
\(251\) | 12.0448 | + | 10.1068i | 0.760259 | + | 0.637933i | 0.938194 | − | 0.346109i | \(-0.112497\pi\) |
−0.177935 | + | 0.984042i | \(0.556942\pi\) | |||||||
\(252\) | 30.3006 | + | 47.1235i | 1.90876 | + | 2.96850i | ||||
\(253\) | 0.314591 | − | 0.263974i | 0.0197782 | − | 0.0165959i | ||||
\(254\) | −46.2293 | + | 5.40343i | −2.90069 | + | 0.339042i | ||||
\(255\) | 2.39614 | − | 5.06998i | 0.150052 | − | 0.317494i | ||||
\(256\) | 2.85425 | − | 9.53385i | 0.178390 | − | 0.595865i | ||||
\(257\) | 0.992340 | + | 1.05182i | 0.0619004 | + | 0.0656106i | 0.757584 | − | 0.652738i | \(-0.226380\pi\) |
−0.695683 | + | 0.718349i | \(0.744898\pi\) | |||||||
\(258\) | 2.53445 | + | 1.79423i | 0.157788 | + | 0.111704i | ||||
\(259\) | −19.2527 | − | 25.8608i | −1.19630 | − | 1.60691i | ||||
\(260\) | −1.46584 | − | 8.31321i | −0.0909077 | − | 0.515563i | ||||
\(261\) | −18.3147 | + | 21.3740i | −1.13365 | + | 1.32302i | ||||
\(262\) | 2.74339 | − | 15.5585i | 0.169487 | − | 0.961209i | ||||
\(263\) | −17.6136 | + | 8.84589i | −1.08610 | + | 0.545461i | −0.899476 | − | 0.436970i | \(-0.856052\pi\) |
−0.186626 | + | 0.982431i | \(0.559755\pi\) | |||||||
\(264\) | −0.924356 | + | 1.48142i | −0.0568902 | + | 0.0911752i | ||||
\(265\) | 5.21707 | + | 0.609788i | 0.320482 | + | 0.0374590i | ||||
\(266\) | 47.2765 | − | 31.0942i | 2.89871 | − | 1.90651i | ||||
\(267\) | −10.1369 | + | 12.6850i | −0.620371 | + | 0.776308i | ||||
\(268\) | −4.41245 | − | 14.7386i | −0.269533 | − | 0.900303i | ||||
\(269\) | 14.3328 | − | 24.8251i | 0.873883 | − | 1.51361i | 0.0159358 | − | 0.999873i | \(-0.494927\pi\) |
0.857948 | − | 0.513737i | \(-0.171739\pi\) | |||||||
\(270\) | −11.7174 | − | 12.0865i | −0.713100 | − | 0.735560i | ||||
\(271\) | −5.81405 | − | 10.0702i | −0.353178 | − | 0.611723i | 0.633626 | − | 0.773639i | \(-0.281566\pi\) |
−0.986804 | + | 0.161917i | \(0.948232\pi\) | |||||||
\(272\) | −18.8423 | + | 19.9717i | −1.14248 | + | 1.21096i | ||||
\(273\) | 6.03520 | + | 6.85268i | 0.365267 | + | 0.414743i | ||||
\(274\) | −0.589100 | − | 10.1145i | −0.0355888 | − | 0.611037i | ||||
\(275\) | 0.180499 | + | 0.418443i | 0.0108845 | + | 0.0252331i | ||||
\(276\) | −3.74908 | − | 26.5508i | −0.225668 | − | 1.59817i | ||||
\(277\) | 0.0775976 | − | 1.33230i | 0.00466239 | − | 0.0800501i | −0.995174 | − | 0.0981231i | \(-0.968716\pi\) |
0.999837 | + | 0.0180730i | \(0.00575313\pi\) | |||||||
\(278\) | 23.4768 | − | 8.54487i | 1.40805 | − | 0.512487i | ||||
\(279\) | −0.240810 | − | 2.26284i | −0.0144169 | − | 0.135473i | ||||
\(280\) | 33.7840 | + | 12.2964i | 2.01898 | + | 0.734849i | ||||
\(281\) | −4.59575 | + | 10.6541i | −0.274159 | + | 0.635573i | −0.998551 | − | 0.0538160i | \(-0.982862\pi\) |
0.724391 | + | 0.689389i | \(0.242121\pi\) | |||||||
\(282\) | 12.9093 | + | 3.53064i | 0.768740 | + | 0.210247i | ||||
\(283\) | 9.46302 | − | 2.24278i | 0.562518 | − | 0.133319i | 0.0604873 | − | 0.998169i | \(-0.480735\pi\) |
0.502031 | + | 0.864850i | \(0.332586\pi\) | |||||||
\(284\) | 12.6580 | − | 3.00001i | 0.751116 | − | 0.178018i | ||||
\(285\) | −8.59646 | + | 8.50807i | −0.509210 | + | 0.503975i | ||||
\(286\) | −0.189697 | + | 0.439767i | −0.0112170 | + | 0.0260039i | ||||
\(287\) | 11.9159 | + | 4.33704i | 0.703374 | + | 0.256007i | ||||
\(288\) | 15.8954 | + | 32.4830i | 0.936643 | + | 1.91408i | ||||
\(289\) | 9.47198 | − | 3.44752i | 0.557175 | − | 0.202795i | ||||
\(290\) | −1.76739 | + | 30.3449i | −0.103785 | + | 1.78191i | ||||
\(291\) | −19.1010 | + | 14.9433i | −1.11972 | + | 0.875993i | ||||
\(292\) | 11.6486 | + | 27.0046i | 0.681686 | + | 1.58033i | ||||
\(293\) | −1.73954 | − | 29.8667i | −0.101625 | − | 1.74483i | −0.536107 | − | 0.844150i | \(-0.680106\pi\) |
0.434482 | − | 0.900681i | \(-0.356931\pi\) | |||||||
\(294\) | −32.8726 | + | 6.61073i | −1.91717 | + | 0.385546i | ||||
\(295\) | 5.11972 | − | 5.42659i | 0.298082 | − | 0.315948i | ||||
\(296\) | −32.8055 | − | 56.8207i | −1.90678 | − | 3.30264i | ||||
\(297\) | 0.127059 | + | 0.667429i | 0.00737270 | + | 0.0387282i | ||||
\(298\) | −19.3586 | + | 33.5300i | −1.12141 | + | 1.94234i | ||||
\(299\) | −1.25346 | − | 4.18684i | −0.0724892 | − | 0.242131i | ||||
\(300\) | 29.4184 | + | 4.46456i | 1.69847 | + | 0.257761i | ||||
\(301\) | −2.15592 | + | 1.41797i | −0.124265 | + | 0.0817306i | ||||
\(302\) | −27.6658 | − | 3.23366i | −1.59199 | − | 0.186076i | ||||
\(303\) | 5.89910 | + | 11.0772i | 0.338894 | + | 0.636369i | ||||
\(304\) | 52.9218 | − | 26.5783i | 3.03527 | − | 1.52437i | ||||
\(305\) | −1.53222 | + | 8.68964i | −0.0877346 | + | 0.497568i | ||||
\(306\) | −0.214693 | + | 20.7727i | −0.0122732 | + | 1.18750i | ||||
\(307\) | 5.11689 | + | 29.0193i | 0.292036 | + | 1.65622i | 0.679010 | + | 0.734129i | \(0.262409\pi\) |
−0.386974 | + | 0.922091i | \(0.626480\pi\) | |||||||
\(308\) | −1.45814 | − | 1.95863i | −0.0830855 | − | 0.111603i | ||||
\(309\) | 0.901502 | − | 9.72514i | 0.0512847 | − | 0.553244i | ||||
\(310\) | −1.68639 | − | 1.78747i | −0.0957806 | − | 0.101521i | ||||
\(311\) | −5.10362 | + | 17.0473i | −0.289400 | + | 0.966663i | 0.682424 | + | 0.730956i | \(0.260926\pi\) |
−0.971824 | + | 0.235707i | \(0.924260\pi\) | |||||||
\(312\) | 10.5799 | + | 15.2771i | 0.598970 | + | 0.864896i | ||||
\(313\) | 19.2717 | − | 2.25254i | 1.08930 | − | 0.127321i | 0.447568 | − | 0.894250i | \(-0.352290\pi\) |
0.641732 | + | 0.766929i | \(0.278216\pi\) | |||||||
\(314\) | −15.6902 | + | 13.1657i | −0.885451 | + | 0.742982i | ||||
\(315\) | 12.9013 | − | 5.40763i | 0.726905 | − | 0.304685i | ||||
\(316\) | 3.79297 | + | 3.18268i | 0.213371 | + | 0.179039i | ||||
\(317\) | 3.53368 | + | 2.32414i | 0.198471 | + | 0.130537i | 0.644855 | − | 0.764305i | \(-0.276918\pi\) |
−0.446383 | + | 0.894842i | \(0.647288\pi\) | |||||||
\(318\) | −18.5020 | + | 6.02498i | −1.03754 | + | 0.337864i | ||||
\(319\) | 0.732589 | − | 0.984038i | 0.0410171 | − | 0.0550956i | ||||
\(320\) | 11.9399 | + | 5.99645i | 0.667461 | + | 0.335212i | ||||
\(321\) | 24.2609 | + | 13.2437i | 1.35411 | + | 0.739189i | ||||
\(322\) | 30.4791 | + | 7.22367i | 1.69853 | + | 0.402559i | ||||
\(323\) | 14.9256 | 0.830484 | ||||||||
\(324\) | 41.3638 | + | 16.0309i | 2.29799 | + | 0.890607i | ||||
\(325\) | 4.84980 | 0.269018 | ||||||||
\(326\) | 41.2327 | + | 9.77234i | 2.28367 | + | 0.541240i | ||||
\(327\) | 27.7147 | − | 16.8976i | 1.53262 | − | 0.934439i | ||||
\(328\) | 23.0609 | + | 11.5816i | 1.27332 | + | 0.639487i | ||||
\(329\) | −6.64127 | + | 8.92078i | −0.366145 | + | 0.491819i | ||||
\(330\) | 0.545564 | + | 0.490586i | 0.0300323 | + | 0.0270059i | ||||
\(331\) | 9.80260 | + | 6.44727i | 0.538800 | + | 0.354374i | 0.789558 | − | 0.613675i | \(-0.210310\pi\) |
−0.250759 | + | 0.968050i | \(0.580680\pi\) | |||||||
\(332\) | −34.2753 | − | 28.7604i | −1.88110 | − | 1.57843i | ||||
\(333\) | −24.3793 | − | 7.57410i | −1.33598 | − | 0.415058i | ||||
\(334\) | 9.56954 | − | 8.02979i | 0.523622 | − | 0.439371i | ||||
\(335\) | −3.81549 | + | 0.445967i | −0.208462 | + | 0.0243658i | ||||
\(336\) | −68.2634 | + | 5.61698i | −3.72407 | + | 0.306431i | ||||
\(337\) | −0.138577 | + | 0.462880i | −0.00754877 | + | 0.0252147i | −0.961681 | − | 0.274171i | \(-0.911597\pi\) |
0.954132 | + | 0.299386i | \(0.0967817\pi\) | |||||||
\(338\) | −19.9855 | − | 21.1834i | −1.08707 | − | 1.15222i | ||||
\(339\) | −0.441912 | + | 0.203293i | −0.0240014 | + | 0.0110414i | ||||
\(340\) | 9.52967 | + | 12.8006i | 0.516819 | + | 0.694209i | ||||
\(341\) | 0.0172227 | + | 0.0976749i | 0.000932662 | + | 0.00528939i | ||||
\(342\) | 15.7588 | − | 41.9430i | 0.852138 | − | 2.26802i | ||||
\(343\) | 0.233141 | − | 1.32221i | 0.0125884 | − | 0.0713926i | ||||
\(344\) | −4.69275 | + | 2.35679i | −0.253016 | + | 0.127069i | ||||
\(345\) | −6.69131 | − | 0.229309i | −0.360248 | − | 0.0123456i | ||||
\(346\) | −62.4464 | − | 7.29894i | −3.35714 | − | 0.392394i | ||||
\(347\) | −24.5889 | + | 16.1724i | −1.32000 | + | 0.868180i | −0.996938 | − | 0.0781969i | \(-0.975084\pi\) |
−0.323065 | + | 0.946377i | \(0.604713\pi\) | |||||||
\(348\) | −29.1890 | − | 74.5943i | −1.56470 | − | 3.99867i | ||||
\(349\) | 7.31299 | + | 24.4271i | 0.391455 | + | 1.30755i | 0.895957 | + | 0.444141i | \(0.146491\pi\) |
−0.504501 | + | 0.863411i | \(0.668324\pi\) | |||||||
\(350\) | −17.3795 | + | 30.1022i | −0.928973 | + | 1.60903i | ||||
\(351\) | 7.05760 | + | 1.57173i | 0.376707 | + | 0.0838926i | ||||
\(352\) | −0.788088 | − | 1.36501i | −0.0420052 | − | 0.0727552i | ||||
\(353\) | −15.7748 | + | 16.7203i | −0.839607 | + | 0.889931i | −0.995197 | − | 0.0978906i | \(-0.968790\pi\) |
0.155591 | + | 0.987822i | \(0.450272\pi\) | |||||||
\(354\) | −8.82873 | + | 26.1896i | −0.469242 | + | 1.39196i | ||||
\(355\) | −0.188862 | − | 3.24264i | −0.0100238 | − | 0.172102i | ||||
\(356\) | −18.3027 | − | 42.4303i | −0.970039 | − | 2.24880i | ||||
\(357\) | −16.0099 | − | 6.45633i | −0.847336 | − | 0.341705i | ||||
\(358\) | 1.34195 | − | 23.0405i | 0.0709245 | − | 1.21773i | ||||
\(359\) | 17.0829 | − | 6.21766i | 0.901601 | − | 0.328156i | 0.150707 | − | 0.988579i | \(-0.451845\pi\) |
0.750894 | + | 0.660423i | \(0.229623\pi\) | |||||||
\(360\) | 27.3548 | − | 7.88239i | 1.44173 | − | 0.415438i | ||||
\(361\) | −12.3966 | − | 4.51200i | −0.652453 | − | 0.237473i | ||||
\(362\) | −0.564266 | + | 1.30811i | −0.0296571 | + | 0.0687530i | ||||
\(363\) | 4.82848 | + | 18.4000i | 0.253430 | + | 0.965747i | ||||
\(364\) | −25.2858 | + | 5.99283i | −1.32533 | + | 0.314110i | ||||
\(365\) | 7.14541 | − | 1.69349i | 0.374008 | − | 0.0886415i | ||||
\(366\) | −8.29689 | − | 31.6170i | −0.433686 | − | 1.65265i | ||||
\(367\) | −4.87271 | + | 11.2962i | −0.254353 | + | 0.589658i | −0.996772 | − | 0.0802782i | \(-0.974419\pi\) |
0.742419 | + | 0.669936i | \(0.233678\pi\) | |||||||
\(368\) | 30.8053 | + | 11.2122i | 1.60584 | + | 0.584477i | ||||
\(369\) | 9.64828 | − | 2.78019i | 0.502269 | − | 0.144731i | ||||
\(370\) | −25.9059 | + | 9.42897i | −1.34678 | + | 0.490189i | ||||
\(371\) | 0.940178 | − | 16.1422i | 0.0488116 | − | 0.838063i | ||||
\(372\) | 6.00597 | + | 2.42203i | 0.311395 | + | 0.125576i | ||||
\(373\) | 1.28298 | + | 2.97429i | 0.0664303 | + | 0.154003i | 0.948197 | − | 0.317683i | \(-0.102905\pi\) |
−0.881767 | + | 0.471686i | \(0.843646\pi\) | |||||||
\(374\) | −0.0526453 | − | 0.903885i | −0.00272222 | − | 0.0467388i | ||||
\(375\) | 5.77817 | − | 17.1404i | 0.298383 | − | 0.885125i | ||||
\(376\) | −15.5315 | + | 16.4624i | −0.800977 | + | 0.848986i | ||||
\(377\) | −6.52789 | − | 11.3066i | −0.336204 | − | 0.582322i | ||||
\(378\) | −35.0468 | + | 38.1734i | −1.80261 | + | 1.96343i | ||||
\(379\) | −15.9961 | + | 27.7060i | −0.821664 | + | 1.42316i | 0.0827788 | + | 0.996568i | \(0.473621\pi\) |
−0.904443 | + | 0.426595i | \(0.859713\pi\) | |||||||
\(380\) | −9.87167 | − | 32.9737i | −0.506406 | − | 1.69151i | ||||
\(381\) | −11.1600 | − | 28.5201i | −0.571744 | − | 1.46113i | ||||
\(382\) | 1.98429 | − | 1.30509i | 0.101525 | − | 0.0667743i | ||||
\(383\) | 13.2503 | + | 1.54874i | 0.677058 | + | 0.0791367i | 0.447671 | − | 0.894198i | \(-0.352254\pi\) |
0.229387 | + | 0.973335i | \(0.426328\pi\) | |||||||
\(384\) | −7.73374 | − | 0.265033i | −0.394661 | − | 0.0135249i | ||||
\(385\) | −0.544843 | + | 0.273630i | −0.0277678 | + | 0.0139455i | ||||
\(386\) | −6.34385 | + | 35.9778i | −0.322893 | + | 1.83122i | ||||
\(387\) | −0.718639 | + | 1.91270i | −0.0365305 | + | 0.0972283i | ||||
\(388\) | −11.9845 | − | 67.9673i | −0.608419 | − | 3.45052i | ||||
\(389\) | 14.3146 | + | 19.2278i | 0.725777 | + | 0.974888i | 0.999913 | + | 0.0131970i | \(0.00420086\pi\) |
−0.274136 | + | 0.961691i | \(0.588392\pi\) | |||||||
\(390\) | 7.09358 | − | 3.26327i | 0.359197 | − | 0.165242i | ||||
\(391\) | 5.66987 | + | 6.00971i | 0.286738 | + | 0.303924i | ||||
\(392\) | 16.2629 | − | 54.3217i | 0.821398 | − | 2.74366i | ||||
\(393\) | 10.3604 | − | 0.852492i | 0.522611 | − | 0.0430025i | ||||
\(394\) | 55.7147 | − | 6.51211i | 2.80686 | − | 0.328075i | ||||
\(395\) | 0.947066 | − | 0.794682i | 0.0476520 | − | 0.0399848i | ||||
\(396\) | −1.84643 | − | 0.573642i | −0.0927864 | − | 0.0288266i | ||||
\(397\) | 2.87549 | + | 2.41282i | 0.144317 | + | 0.121096i | 0.712088 | − | 0.702090i | \(-0.247750\pi\) |
−0.567771 | + | 0.823186i | \(0.692194\pi\) | |||||||
\(398\) | 42.3746 | + | 27.8702i | 2.12405 | + | 1.39701i | ||||
\(399\) | 27.6857 | + | 24.8957i | 1.38602 | + | 1.24635i | ||||
\(400\) | −21.7234 | + | 29.1796i | −1.08617 | + | 1.45898i | ||||
\(401\) | 0.0553556 | + | 0.0278006i | 0.00276433 | + | 0.00138830i | 0.450181 | − | 0.892937i | \(-0.351360\pi\) |
−0.447416 | + | 0.894326i | \(0.647656\pi\) | |||||||
\(402\) | 12.1505 | − | 7.40814i | 0.606012 | − | 0.369484i | ||||
\(403\) | 1.02706 | + | 0.243418i | 0.0511616 | + | 0.0121255i | ||||
\(404\) | −35.7149 | −1.77689 | ||||||||
\(405\) | 5.73541 | − | 9.47615i | 0.284995 | − | 0.470874i | ||||
\(406\) | 93.5721 | 4.64391 | ||||||||
\(407\) | 1.08267 | + | 0.256597i | 0.0536659 | + | 0.0127191i | ||||
\(408\) | −30.8354 | − | 16.8325i | −1.52658 | − | 0.833335i | ||||
\(409\) | −12.1738 | − | 6.11394i | −0.601958 | − | 0.302315i | 0.121599 | − | 0.992579i | \(-0.461198\pi\) |
−0.723557 | + | 0.690265i | \(0.757494\pi\) | |||||||
\(410\) | 6.47504 | − | 8.69749i | 0.319780 | − | 0.429539i | ||||
\(411\) | 6.33893 | − | 2.06420i | 0.312676 | − | 0.101819i | ||||
\(412\) | 23.2219 | + | 15.2733i | 1.14406 | + | 0.752462i | ||||
\(413\) | −17.5934 | − | 14.7626i | −0.865713 | − | 0.726420i | ||||
\(414\) | 22.8745 | − | 9.58793i | 1.12422 | − | 0.471221i | ||||
\(415\) | −8.55820 | + | 7.18118i | −0.420106 | + | 0.352510i | ||||
\(416\) | −16.6606 | + | 1.94734i | −0.816852 | + | 0.0954764i | ||||
\(417\) | 9.35935 | + | 13.5146i | 0.458329 | + | 0.661815i | ||||
\(418\) | −0.560081 | + | 1.87080i | −0.0273944 | + | 0.0915038i | ||||
\(419\) | −17.0859 | − | 18.1100i | −0.834699 | − | 0.884729i | 0.160047 | − | 0.987109i | \(-0.448836\pi\) |
−0.994745 | + | 0.102380i | \(0.967354\pi\) | |||||||
\(420\) | −3.67449 | + | 39.6393i | −0.179297 | + | 1.93420i | ||||
\(421\) | −7.40869 | − | 9.95159i | −0.361077 | − | 0.485011i | 0.584048 | − | 0.811719i | \(-0.301468\pi\) |
−0.945125 | + | 0.326708i | \(0.894061\pi\) | |||||||
\(422\) | −0.268002 | − | 1.51991i | −0.0130461 | − | 0.0739882i | ||||
\(423\) | −0.0910106 | + | 8.80578i | −0.00442509 | + | 0.428152i | ||||
\(424\) | 5.71405 | − | 32.4060i | 0.277499 | − | 1.57377i | ||||
\(425\) | −8.19320 | + | 4.11478i | −0.397429 | + | 0.199596i | ||||
\(426\) | 5.65596 | + | 10.6206i | 0.274032 | + | 0.514572i | ||||
\(427\) | 26.9793 | + | 3.15342i | 1.30562 | + | 0.152605i | ||||
\(428\) | −65.7185 | + | 43.2237i | −3.17662 | + | 2.08930i | ||||
\(429\) | −0.311570 | − | 0.0472842i | −0.0150428 | − | 0.00228290i | ||||
\(430\) | 0.632832 | + | 2.11381i | 0.0305179 | + | 0.101937i | ||||
\(431\) | −4.38452 | + | 7.59420i | −0.211195 | + | 0.365800i | −0.952089 | − | 0.305822i | \(-0.901069\pi\) |
0.740894 | + | 0.671622i | \(0.234402\pi\) | |||||||
\(432\) | −41.0692 | + | 35.4230i | −1.97594 | + | 1.70429i | ||||
\(433\) | −9.78037 | − | 16.9401i | −0.470015 | − | 0.814089i | 0.529397 | − | 0.848374i | \(-0.322418\pi\) |
−0.999412 | + | 0.0342847i | \(0.989085\pi\) | |||||||
\(434\) | −5.19140 | + | 5.50256i | −0.249195 | + | 0.264131i | ||||
\(435\) | −19.6081 | + | 3.94321i | −0.940135 | + | 0.189062i | ||||
\(436\) | 5.37106 | + | 92.2175i | 0.257227 | + | 4.41642i | ||||
\(437\) | −7.05825 | − | 16.3629i | −0.337642 | − | 0.782742i | ||||
\(438\) | −21.4258 | + | 16.7621i | −1.02377 | + | 0.800926i | ||||
\(439\) | 0.892567 | − | 15.3248i | 0.0425999 | − | 0.731412i | −0.907613 | − | 0.419809i | \(-0.862097\pi\) |
0.950212 | − | 0.311603i | \(-0.100866\pi\) | |||||||
\(440\) | −1.16593 | + | 0.424364i | −0.0555836 | + | 0.0202308i | ||||
\(441\) | −9.69761 | − | 19.8176i | −0.461791 | − | 0.943695i | ||||
\(442\) | −9.05454 | − | 3.29558i | −0.430681 | − | 0.156755i | ||||
\(443\) | 9.76844 | − | 22.6458i | 0.464113 | − | 1.07593i | −0.512062 | − | 0.858948i | \(-0.671118\pi\) |
0.976175 | − | 0.216986i | \(-0.0696225\pi\) | |||||||
\(444\) | 51.6360 | − | 51.1051i | 2.45053 | − | 2.42534i | ||||
\(445\) | −11.2271 | + | 2.66086i | −0.532213 | + | 0.126137i | ||||
\(446\) | 30.1417 | − | 7.14372i | 1.42725 | − | 0.338265i | ||||
\(447\) | −24.5732 | − | 6.72067i | −1.16227 | − | 0.317877i | ||||
\(448\) | 16.2911 | − | 37.7670i | 0.769683 | − | 1.78432i | ||||
\(449\) | −4.16042 | − | 1.51427i | −0.196343 | − | 0.0714628i | 0.241977 | − | 0.970282i | \(-0.422204\pi\) |
−0.438320 | + | 0.898819i | \(0.644426\pi\) | |||||||
\(450\) | 2.91254 | + | 27.3685i | 0.137298 | + | 1.29016i | ||||
\(451\) | −0.411234 | + | 0.149677i | −0.0193643 | + | 0.00704801i | ||||
\(452\) | 0.0804889 | − | 1.38194i | 0.00378588 | − | 0.0650010i | ||||
\(453\) | −2.56255 | − | 18.1479i | −0.120399 | − | 0.852661i | ||||
\(454\) | −28.9666 | − | 67.1522i | −1.35947 | − | 3.15161i | ||||
\(455\) | 0.377273 | + | 6.47752i | 0.0176868 | + | 0.303671i | ||||
\(456\) | 50.0791 | + | 56.8624i | 2.34517 | + | 2.66283i | ||||
\(457\) | −14.9209 | + | 15.8152i | −0.697969 | + | 0.739803i | −0.975279 | − | 0.220977i | \(-0.929075\pi\) |
0.277311 | + | 0.960780i | \(0.410557\pi\) | |||||||
\(458\) | 23.9742 | + | 41.5244i | 1.12024 | + | 1.94031i | ||||
\(459\) | −13.2566 | + | 3.33272i | −0.618763 | + | 0.155558i | ||||
\(460\) | 9.52665 | − | 16.5006i | 0.444182 | − | 0.769347i | ||||
\(461\) | −3.10180 | − | 10.3607i | −0.144465 | − | 0.482548i | 0.854876 | − | 0.518832i | \(-0.173633\pi\) |
−0.999342 | + | 0.0362844i | \(0.988448\pi\) | |||||||
\(462\) | 1.41002 | − | 1.76444i | 0.0655999 | − | 0.0820891i | ||||
\(463\) | 14.4201 | − | 9.48422i | 0.670157 | − | 0.440769i | −0.168301 | − | 0.985736i | \(-0.553828\pi\) |
0.838458 | + | 0.544967i | \(0.183458\pi\) | |||||||
\(464\) | 97.2682 | + | 11.3690i | 4.51556 | + | 0.527793i | ||||
\(465\) | 0.855976 | − | 1.37183i | 0.0396950 | − | 0.0636172i | ||||
\(466\) | −44.1543 | + | 22.1751i | −2.04541 | + | 1.02724i | ||||
\(467\) | 6.62034 | − | 37.5458i | 0.306353 | − | 1.73741i | −0.310714 | − | 0.950503i | \(-0.600568\pi\) |
0.617067 | − | 0.786911i | \(-0.288321\pi\) | |||||||
\(468\) | −13.3885 | + | 15.6250i | −0.618885 | + | 0.722266i | ||||
\(469\) | 2.05349 | + | 11.6459i | 0.0948214 | + | 0.537759i | ||||
\(470\) | 5.67888 | + | 7.62807i | 0.261947 | + | 0.351856i | ||||
\(471\) | −10.9998 | − | 7.78713i | −0.506842 | − | 0.358812i | ||||
\(472\) | −32.0736 | − | 33.9960i | −1.47631 | − | 1.56479i | ||||
\(473\) | 0.0255410 | − | 0.0853130i | 0.00117438 | − | 0.00392270i | ||||
\(474\) | −1.95698 | + | 4.14076i | −0.0898871 | + | 0.190191i | ||||
\(475\) | 19.6411 | − | 2.29572i | 0.901197 | − | 0.105335i | ||||
\(476\) | 37.6329 | − | 31.5778i | 1.72490 | − | 1.44737i | ||||
\(477\) | −6.92470 | − | 10.7693i | −0.317060 | − | 0.493092i | ||||
\(478\) | −23.6210 | − | 19.8203i | −1.08040 | − | 0.906562i | ||||
\(479\) | −19.4713 | − | 12.8065i | −0.889667 | − | 0.585144i | 0.0203134 | − | 0.999794i | \(-0.493534\pi\) |
−0.909981 | + | 0.414650i | \(0.863904\pi\) | |||||||
\(480\) | −5.32630 | + | 25.1387i | −0.243111 | + | 1.14742i | ||||
\(481\) | 7.07106 | − | 9.49809i | 0.322413 | − | 0.433075i | ||||
\(482\) | −37.4429 | − | 18.8045i | −1.70548 | − | 0.856523i | ||||
\(483\) | 0.492988 | + | 20.6048i | 0.0224317 | + | 0.937549i | ||||
\(484\) | −52.6763 | − | 12.4845i | −2.39438 | − | 0.567478i | ||||
\(485\) | −17.2326 | −0.782490 | ||||||||
\(486\) | −4.63118 | + | 40.7715i | −0.210075 | + | 1.84943i | ||||
\(487\) | −7.06751 | −0.320259 | −0.160130 | − | 0.987096i | \(-0.551191\pi\) | ||||
−0.160130 | + | 0.987096i | \(0.551191\pi\) | |||||||
\(488\) | 53.7879 | + | 12.7480i | 2.43486 | + | 0.577073i | ||||
\(489\) | 0.666924 | + | 27.8746i | 0.0301594 | + | 1.26053i | ||||
\(490\) | −21.2916 | − | 10.6930i | −0.961856 | − | 0.483062i | ||||
\(491\) | −2.02396 | + | 2.71865i | −0.0913399 | + | 0.122691i | −0.845444 | − | 0.534064i | \(-0.820664\pi\) |
0.754104 | + | 0.656755i | \(0.228071\pi\) | |||||||
\(492\) | −5.92275 | + | 27.9537i | −0.267018 | + | 1.26025i | ||||
\(493\) | 20.6212 | + | 13.5628i | 0.928733 | + | 0.610837i | ||||
\(494\) | 15.9204 | + | 13.3588i | 0.716291 | + | 0.601039i | ||||
\(495\) | −0.221114 | + | 0.429158i | −0.00993835 | + | 0.0192892i | ||||
\(496\) | −6.06501 | + | 5.08915i | −0.272327 | + | 0.228510i | ||||
\(497\) | −9.93147 | + | 1.16082i | −0.445488 | + | 0.0520700i | ||||
\(498\) | 17.6844 | − | 37.4182i | 0.792455 | − | 1.67675i | ||||
\(499\) | −9.20390 | + | 30.7432i | −0.412023 | + | 1.37625i | 0.460491 | + | 0.887664i | \(0.347673\pi\) |
−0.872514 | + | 0.488589i | \(0.837512\pi\) | |||||||
\(500\) | 35.3244 | + | 37.4416i | 1.57975 | + | 1.67444i | ||||
\(501\) | 6.70880 | + | 4.74940i | 0.299727 | + | 0.212188i | ||||
\(502\) | −24.7156 | − | 33.1988i | −1.10311 | − | 1.48174i | ||||
\(503\) | −3.47754 | − | 19.7221i | −0.155056 | − | 0.879366i | −0.958735 | − | 0.284303i | \(-0.908238\pi\) |
0.803679 | − | 0.595064i | \(-0.202873\pi\) | |||||||
\(504\) | −29.1205 | − | 82.6559i | −1.29713 | − | 3.68179i | ||||
\(505\) | −1.54854 | + | 8.78219i | −0.0689090 | + | 0.390802i | ||||
\(506\) | −0.966027 | + | 0.485157i | −0.0429452 | + | 0.0215679i | ||||
\(507\) | 10.1442 | − | 16.2577i | 0.450521 | − | 0.722028i | ||||
\(508\) | 86.5656 | + | 10.1181i | 3.84073 | + | 0.448916i | ||||
\(509\) | 10.6419 | − | 6.99930i | 0.471695 | − | 0.310238i | −0.291313 | − | 0.956628i | \(-0.594092\pi\) |
0.763008 | + | 0.646389i | \(0.223722\pi\) | |||||||
\(510\) | −9.21513 | + | 11.5314i | −0.408053 | + | 0.510621i | ||||
\(511\) | −6.48342 | − | 21.6561i | −0.286810 | − | 0.958011i | ||||
\(512\) | −17.5660 | + | 30.4252i | −0.776315 | + | 1.34462i | ||||
\(513\) | 29.3265 | + | 3.02450i | 1.29480 | + | 0.133535i | ||||
\(514\) | −1.90323 | − | 3.29649i | −0.0839478 | − | 0.145402i | ||||
\(515\) | 4.76252 | − | 5.04797i | 0.209862 | − | 0.222440i | ||||
\(516\) | −3.84308 | − | 4.36364i | −0.169182 | − | 0.192098i | ||||
\(517\) | −0.0223169 | − | 0.383167i | −0.000981498 | − | 0.0168517i | ||||
\(518\) | 33.6141 | + | 77.9262i | 1.47692 | + | 3.42388i | ||||
\(519\) | −5.78412 | − | 40.9629i | −0.253895 | − | 1.79807i | ||||
\(520\) | −0.767769 | + | 13.1821i | −0.0336689 | + | 0.578072i | ||||
\(521\) | −12.6173 | + | 4.59231i | −0.552772 | + | 0.201193i | −0.603278 | − | 0.797531i | \(-0.706139\pi\) |
0.0505056 | + | 0.998724i | \(0.483917\pi\) | |||||||
\(522\) | 59.8856 | − | 43.6285i | 2.62112 | − | 1.90957i | ||||
\(523\) | 12.0309 | + | 4.37889i | 0.526075 | + | 0.191476i | 0.591385 | − | 0.806389i | \(-0.298581\pi\) |
−0.0653099 | + | 0.997865i | \(0.520804\pi\) | |||||||
\(524\) | −11.7173 | + | 27.1637i | −0.511872 | + | 1.18665i | ||||
\(525\) | −22.0611 | − | 6.03360i | −0.962824 | − | 0.263328i | ||||
\(526\) | 50.4847 | − | 11.9651i | 2.20124 | − | 0.521703i | ||||
\(527\) | −1.94163 | + | 0.460176i | −0.0845789 | + | 0.0200456i | ||||
\(528\) | 1.68009 | − | 1.66281i | 0.0731165 | − | 0.0723647i | ||||
\(529\) | −5.20268 | + | 12.0612i | −0.226203 | + | 0.524398i | ||||
\(530\) | −12.9926 | − | 4.72892i | −0.564363 | − | 0.205411i | ||||
\(531\) | −18.1428 | − | 1.24496i | −0.787330 | − | 0.0540266i | ||||
\(532\) | −99.5676 | + | 36.2397i | −4.31680 | + | 1.57119i | ||||
\(533\) | −0.270799 | + | 4.64943i | −0.0117296 | + | 0.201389i | ||||
\(534\) | 33.6648 | − | 26.3371i | 1.45682 | − | 1.13972i | ||||
\(535\) | 7.77914 | + | 18.0341i | 0.336321 | + | 0.779681i | ||||
\(536\) | 1.39929 | + | 24.0249i | 0.0604403 | + | 1.03772i | ||||
\(537\) | 14.8882 | − | 2.99403i | 0.642472 | − | 0.129202i | ||||
\(538\) | −51.7814 | + | 54.8851i | −2.23246 | + | 2.36627i | ||||
\(539\) | 0.480805 | + | 0.832779i | 0.0207098 | + | 0.0358703i | ||||
\(540\) | 16.1304 | + | 27.0822i | 0.694142 | + | 1.16543i | ||||
\(541\) | −1.14797 | + | 1.98835i | −0.0493552 | + | 0.0854858i | −0.889648 | − | 0.456648i | \(-0.849050\pi\) |
0.840292 | + | 0.542134i | \(0.182383\pi\) | |||||||
\(542\) | 8.77870 | + | 29.3229i | 0.377077 | + | 1.25953i | ||||
\(543\) | −0.926786 | − | 0.140650i | −0.0397722 | − | 0.00603586i | ||||
\(544\) | 26.4940 | − | 17.4254i | 1.13592 | − | 0.747108i | ||||
\(545\) | 22.9089 | + | 2.67766i | 0.981307 | + | 0.114698i | ||||
\(546\) | −11.2984 | − | 21.2159i | −0.483526 | − | 0.907955i | ||||
\(547\) | 22.5978 | − | 11.3490i | 0.966211 | − | 0.485249i | 0.105542 | − | 0.994415i | \(-0.466342\pi\) |
0.860669 | + | 0.509165i | \(0.170046\pi\) | |||||||
\(548\) | −3.29440 | + | 18.6834i | −0.140730 | + | 0.798117i | ||||
\(549\) | 18.7369 | − | 10.5611i | 0.799670 | − | 0.450735i | ||||
\(550\) | −0.208305 | − | 1.18135i | −0.00888214 | − | 0.0503731i | ||||
\(551\) | −31.7894 | − | 42.7005i | −1.35427 | − | 1.81910i | ||||
\(552\) | −3.87151 | + | 41.7647i | −0.164782 | + | 1.77762i | ||||
\(553\) | −2.61173 | − | 2.76828i | −0.111062 | − | 0.117719i | ||||
\(554\) | −1.00753 | + | 3.36539i | −0.0428059 | + | 0.142982i | ||||
\(555\) | −10.3277 | − | 14.9129i | −0.438387 | − | 0.633019i | ||||
\(556\) | −46.4660 | + | 5.43109i | −1.97060 | + | 0.230330i | ||||
\(557\) | −7.86011 | + | 6.59541i | −0.333043 | + | 0.279457i | −0.793939 | − | 0.607998i | \(-0.791973\pi\) |
0.460895 | + | 0.887455i | \(0.347528\pi\) | |||||||
\(558\) | −0.756863 | + | 5.94212i | −0.0320406 | + | 0.251550i | ||||
\(559\) | −0.726007 | − | 0.609192i | −0.0307068 | − | 0.0257661i | ||||
\(560\) | −40.6629 | − | 26.7444i | −1.71832 | − | 1.13016i | ||||
\(561\) | 0.566482 | − | 0.184468i | 0.0239169 | − | 0.00778827i | ||||
\(562\) | 18.2390 | − | 24.4992i | 0.769365 | − | 1.03344i | ||||
\(563\) | 10.6944 | + | 5.37092i | 0.450714 | + | 0.226357i | 0.659651 | − | 0.751572i | \(-0.270704\pi\) |
−0.208937 | + | 0.977929i | \(0.567000\pi\) | |||||||
\(564\) | −21.9968 | − | 12.0077i | −0.926233 | − | 0.505615i | ||||
\(565\) | −0.336325 | − | 0.0797105i | −0.0141493 | − | 0.00335344i | ||||
\(566\) | −25.5997 | −1.07603 | ||||||||
\(567\) | −30.1487 | − | 15.9299i | −1.26613 | − | 0.668992i | ||||
\(568\) | −20.3486 | −0.853810 | ||||||||
\(569\) | −0.132057 | − | 0.0312981i | −0.00553612 | − | 0.00131208i | 0.227847 | − | 0.973697i | \(-0.426831\pi\) |
−0.233383 | + | 0.972385i | \(0.574980\pi\) | |||||||
\(570\) | 27.1835 | − | 16.5737i | 1.13859 | − | 0.694197i | ||||
\(571\) | 15.1757 | + | 7.62150i | 0.635081 | + | 0.318950i | 0.737050 | − | 0.675838i | \(-0.236218\pi\) |
−0.101969 | + | 0.994788i | \(0.532514\pi\) | |||||||
\(572\) | 0.535543 | − | 0.719359i | 0.0223922 | − | 0.0300779i | ||||
\(573\) | 1.16203 | + | 1.04493i | 0.0485444 | + | 0.0436525i | ||||
\(574\) | −27.8881 | − | 18.3423i | −1.16403 | − | 0.765593i | ||||
\(575\) | 8.38553 | + | 7.03630i | 0.349701 | + | 0.293434i | ||||
\(576\) | −7.18289 | − | 31.7665i | −0.299287 | − | 1.32360i | ||||
\(577\) | 32.4933 | − | 27.2651i | 1.35271 | − | 1.13506i | 0.374552 | − | 0.927206i | \(-0.377797\pi\) |
0.978160 | − | 0.207854i | \(-0.0666479\pi\) | |||||||
\(578\) | −26.3540 | + | 3.08034i | −1.09618 | + | 0.128125i | ||||
\(579\) | −23.9574 | + | 1.97131i | −0.995637 | + | 0.0819250i | ||||
\(580\) | 16.3242 | − | 54.5267i | 0.677826 | − | 2.26410i | ||||
\(581\) | 23.6011 | + | 25.0157i | 0.979137 | + | 1.03782i | ||||
\(582\) | 57.9958 | − | 26.6799i | 2.40400 | − | 1.10592i | ||||
\(583\) | 0.333235 | + | 0.447612i | 0.0138012 | + | 0.0185382i | ||||
\(584\) | −7.98850 | − | 45.3051i | −0.330567 | − | 1.87474i | ||||
\(585\) | 3.26163 | + | 3.96967i | 0.134852 | + | 0.164126i | ||||
\(586\) | −13.6751 | + | 77.5553i | −0.564913 | + | 3.20378i | ||||
\(587\) | 17.2759 | − | 8.67627i | 0.713051 | − | 0.358108i | −0.0550085 | − | 0.998486i | \(-0.517519\pi\) |
0.768060 | + | 0.640378i | \(0.221222\pi\) | |||||||
\(588\) | 62.7504 | + | 2.15044i | 2.58778 | + | 0.0886825i | ||||
\(589\) | 4.27471 | + | 0.499642i | 0.176136 | + | 0.0205874i | ||||
\(590\) | −16.4077 | + | 10.7915i | −0.675493 | + | 0.444279i | ||||
\(591\) | 13.4498 | + | 34.3718i | 0.553251 | + | 1.41387i | ||||
\(592\) | 25.4738 | + | 85.0884i | 1.04697 | + | 3.49711i | ||||
\(593\) | 5.90567 | − | 10.2289i | 0.242517 | − | 0.420051i | −0.718914 | − | 0.695099i | \(-0.755360\pi\) |
0.961431 | + | 0.275048i | \(0.0886937\pi\) | |||||||
\(594\) | 0.0797222 | − | 1.78666i | 0.00327104 | − | 0.0733074i | ||||
\(595\) | −6.13318 | − | 10.6230i | −0.251436 | − | 0.435499i | ||||
\(596\) | 49.7516 | − | 52.7337i | 2.03791 | − | 2.16006i | ||||
\(597\) | −10.6607 | + | 31.6239i | −0.436314 | + | 1.29428i | ||||
\(598\) | 0.668919 | + | 11.4849i | 0.0273541 | + | 0.469652i | ||||
\(599\) | −8.59866 | − | 19.9339i | −0.351332 | − | 0.814478i | −0.998634 | − | 0.0522451i | \(-0.983362\pi\) |
0.647303 | − | 0.762233i | \(-0.275897\pi\) | |||||||
\(600\) | −43.1664 | − | 17.4077i | −1.76226 | − | 0.710666i | ||||
\(601\) | −0.119529 | + | 2.05223i | −0.00487569 | + | 0.0837123i | −0.999868 | − | 0.0162375i | \(-0.994831\pi\) |
0.994992 | + | 0.0999499i | \(0.0318682\pi\) | |||||||
\(602\) | 6.38287 | − | 2.32318i | 0.260146 | − | 0.0946856i | ||||
\(603\) | 6.74420 | + | 6.49587i | 0.274645 | + | 0.264532i | ||||
\(604\) | 49.0120 | + | 17.8389i | 1.99427 | + | 0.725855i | ||||
\(605\) | −5.35385 | + | 12.4116i | −0.217665 | + | 0.504604i | ||||
\(606\) | −8.38525 | − | 31.9538i | −0.340628 | − | 1.29803i | ||||
\(607\) | −18.3599 | + | 4.35138i | −0.745205 | + | 0.176617i | −0.585641 | − | 0.810571i | \(-0.699157\pi\) |
−0.159564 | + | 0.987188i | \(0.551009\pi\) | |||||||
\(608\) | −66.5517 | + | 15.7730i | −2.69903 | + | 0.639681i | ||||
\(609\) | 15.6280 | + | 59.5537i | 0.633278 | + | 2.41324i | ||||
\(610\) | 9.19964 | − | 21.3272i | 0.372482 | − | 0.863511i | ||||
\(611\) | −3.83832 | − | 1.39704i | −0.155282 | − | 0.0565180i | ||||
\(612\) | 9.36153 | − | 37.7562i | 0.378417 | − | 1.52620i | ||||
\(613\) | −3.39883 | + | 1.23707i | −0.137277 | + | 0.0499648i | −0.409745 | − | 0.912200i | \(-0.634382\pi\) |
0.272468 | + | 0.962165i | \(0.412160\pi\) | |||||||
\(614\) | 4.51008 | − | 77.4351i | 0.182012 | − | 3.12503i | ||||
\(615\) | 6.61692 | + | 2.66841i | 0.266820 | + | 0.107601i | ||||
\(616\) | 1.51285 | + | 3.50718i | 0.0609544 | + | 0.141308i | ||||
\(617\) | 2.26546 | + | 38.8964i | 0.0912038 | + | 1.56591i | 0.664958 | + | 0.746881i | \(0.268450\pi\) |
−0.573754 | + | 0.819028i | \(0.694513\pi\) | |||||||
\(618\) | −8.21275 | + | 24.3623i | −0.330365 | + | 0.979996i | ||||
\(619\) | 3.03183 | − | 3.21355i | 0.121859 | − | 0.129163i | −0.663571 | − | 0.748113i | \(-0.730960\pi\) |
0.785431 | + | 0.618950i | \(0.212442\pi\) | |||||||
\(620\) | 2.30080 | + | 3.98510i | 0.0924023 | + | 0.160046i | ||||
\(621\) | 9.92260 | + | 12.9571i | 0.398180 | + | 0.519949i | ||||
\(622\) | 23.4208 | − | 40.5660i | 0.939089 | − | 1.62655i | ||||
\(623\) | 10.1869 | + | 34.0267i | 0.408130 | + | 1.36325i | ||||
\(624\) | −9.16693 | − | 23.4266i | −0.366971 | − | 0.937816i | ||||
\(625\) | −3.82117 | + | 2.51322i | −0.152847 | + | 0.100529i | ||||
\(626\) | −50.7291 | − | 5.92938i | −2.02754 | − | 0.236986i | ||||
\(627\) | −1.28421 | − | 0.0440094i | −0.0512863 | − | 0.00175757i | ||||
\(628\) | 34.2738 | − | 17.2129i | 1.36767 | − | 0.686871i | ||||
\(629\) | −3.88720 | + | 22.0454i | −0.154993 | + | 0.879007i | ||||
\(630\) | −36.3275 | + | 6.01910i | −1.44732 | + | 0.239807i | ||||
\(631\) | −1.55124 | − | 8.79751i | −0.0617538 | − | 0.350223i | −0.999991 | − | 0.00423074i | \(-0.998653\pi\) |
0.938237 | − | 0.345993i | \(-0.112458\pi\) | |||||||
\(632\) | −4.62505 | − | 6.21253i | −0.183975 | − | 0.247121i | ||||
\(633\) | 0.922583 | − | 0.424417i | 0.0366694 | − | 0.0168691i | ||||
\(634\) | −7.64015 | − | 8.09809i | −0.303429 | − | 0.321616i | ||||
\(635\) | 6.24133 | − | 20.8475i | 0.247679 | − | 0.827307i | ||||
\(636\) | 36.3134 | − | 2.98801i | 1.43992 | − | 0.118482i | ||||
\(637\) | 10.1645 | − | 1.18806i | 0.402731 | − | 0.0470725i | ||||
\(638\) | −2.47379 | + | 2.07575i | −0.0979382 | + | 0.0821799i | ||||
\(639\) | −5.81484 | + | 5.37353i | −0.230032 | + | 0.212573i | ||||
\(640\) | −4.21215 | − | 3.53441i | −0.166500 | − | 0.139710i | ||||
\(641\) | −20.5086 | − | 13.4887i | −0.810042 | − | 0.532773i | 0.0756019 | − | 0.997138i | \(-0.475912\pi\) |
−0.885644 | + | 0.464365i | \(0.846283\pi\) | |||||||
\(642\) | −54.1014 | − | 48.6494i | −2.13521 | − | 1.92004i | ||||
\(643\) | −16.9905 | + | 22.8223i | −0.670041 | + | 0.900022i | −0.999018 | − | 0.0443165i | \(-0.985889\pi\) |
0.328976 | + | 0.944338i | \(0.393296\pi\) | |||||||
\(644\) | −52.4150 | − | 26.3238i | −2.06544 | − | 1.03730i | ||||
\(645\) | −1.23963 | + | 0.755802i | −0.0488105 | + | 0.0297597i | ||||
\(646\) | −38.2299 | − | 9.06064i | −1.50413 | − | 0.356486i | ||||
\(647\) | 29.7670 | 1.17026 | 0.585131 | − | 0.810939i | \(-0.301043\pi\) | ||||
0.585131 | + | 0.810939i | \(0.301043\pi\) | |||||||
\(648\) | −57.1757 | − | 39.3217i | −2.24607 | − | 1.54470i | ||||
\(649\) | 0.792605 | 0.0311125 | ||||||||
\(650\) | −12.4221 | − | 2.94408i | −0.487234 | − | 0.115476i | ||||
\(651\) | −4.36913 | − | 2.38504i | −0.171240 | − | 0.0934769i | ||||
\(652\) | −70.9081 | − | 35.6114i | −2.77698 | − | 1.39465i | ||||
\(653\) | 10.5357 | − | 14.1518i | 0.412292 | − | 0.553804i | −0.546666 | − | 0.837350i | \(-0.684103\pi\) |
0.958959 | + | 0.283546i | \(0.0915108\pi\) | |||||||
\(654\) | −81.2449 | + | 26.4565i | −3.17693 | + | 1.03453i | ||||
\(655\) | 6.17143 | + | 4.05902i | 0.241138 | + | 0.158599i | ||||
\(656\) | −26.7611 | − | 22.4552i | −1.04484 | − | 0.876729i | ||||
\(657\) | −14.2466 | − | 10.8369i | −0.555814 | − | 0.422786i | ||||
\(658\) | 22.4261 | − | 18.8177i | 0.874259 | − | 0.733591i | ||||
\(659\) | 6.64663 | − | 0.776879i | 0.258916 | − | 0.0302629i | 0.0143554 | − | 0.999897i | \(-0.495430\pi\) |
0.244561 | + | 0.969634i | \(0.421356\pi\) | |||||||
\(660\) | −0.782193 | − | 1.12947i | −0.0304468 | − | 0.0439644i | ||||
\(661\) | −4.95104 | + | 16.5376i | −0.192573 | + | 0.643239i | 0.806102 | + | 0.591777i | \(0.201573\pi\) |
−0.998675 | + | 0.0514623i | \(0.983612\pi\) | |||||||
\(662\) | −21.1941 | − | 22.4645i | −0.823734 | − | 0.873107i | ||||
\(663\) | 0.585217 | − | 6.31314i | 0.0227279 | − | 0.245182i | ||||
\(664\) | 41.7945 | + | 56.1398i | 1.62194 | + | 2.17865i | ||||
\(665\) | 4.59414 | + | 26.0546i | 0.178153 | + | 1.01036i | ||||
\(666\) | 57.8464 | + | 34.1995i | 2.24150 | + | 1.32521i | ||||
\(667\) | 5.11713 | − | 29.0207i | 0.198136 | − | 1.12369i | ||||
\(668\) | −20.9037 | + | 10.4982i | −0.808789 | + | 0.406189i | ||||
\(669\) | 9.58072 | + | 17.9905i | 0.370412 | + | 0.695552i | ||||
\(670\) | 10.0436 | + | 1.17392i | 0.388017 | + | 0.0453526i | ||||
\(671\) | −0.783210 | + | 0.515125i | −0.0302355 | + | 0.0198862i | ||||
\(672\) | 78.2094 | + | 11.8691i | 3.01699 | + | 0.457862i | ||||
\(673\) | −13.7428 | − | 45.9041i | −0.529745 | − | 1.76947i | −0.632276 | − | 0.774743i | \(-0.717879\pi\) |
0.102531 | − | 0.994730i | \(-0.467306\pi\) | |||||||
\(674\) | 0.635938 | − | 1.10148i | 0.0244954 | − | 0.0424273i | ||||
\(675\) | −16.9322 | + | 6.42463i | −0.651719 | + | 0.247284i | ||||
\(676\) | 27.2669 | + | 47.2276i | 1.04873 | + | 1.81645i | ||||
\(677\) | −23.0586 | + | 24.4407i | −0.886216 | + | 0.939334i | −0.998522 | − | 0.0543399i | \(-0.982695\pi\) |
0.112307 | + | 0.993674i | \(0.464176\pi\) | |||||||
\(678\) | 1.25530 | − | 0.252443i | 0.0482097 | − | 0.00969503i | ||||
\(679\) | 3.08451 | + | 52.9591i | 0.118373 | + | 2.03238i | ||||
\(680\) | −9.88720 | − | 22.9211i | −0.379157 | − | 0.878984i | ||||
\(681\) | 37.9009 | − | 29.6511i | 1.45237 | − | 1.13623i | ||||
\(682\) | 0.0151803 | − | 0.260635i | 0.000581283 | − | 0.00998025i | ||||
\(683\) | −17.3670 | + | 6.32106i | −0.664529 | + | 0.241869i | −0.652191 | − | 0.758055i | \(-0.726150\pi\) |
−0.0123385 | + | 0.999924i | \(0.503928\pi\) | |||||||
\(684\) | −46.8257 | + | 69.6171i | −1.79043 | + | 2.66188i | ||||
\(685\) | 4.45136 | + | 1.62016i | 0.170078 | + | 0.0619032i | ||||
\(686\) | −1.39981 | + | 3.24512i | −0.0534450 | + | 0.123899i | ||||
\(687\) | −22.4241 | + | 22.1935i | −0.855531 | + | 0.846734i | ||||
\(688\) | 6.91726 | − | 1.63942i | 0.263718 | − | 0.0625023i | ||||
\(689\) | 5.77864 | − | 1.36956i | 0.220149 | − | 0.0521762i | ||||
\(690\) | 16.9996 | + | 4.64932i | 0.647165 | + | 0.176997i | ||||
\(691\) | −13.2382 | + | 30.6897i | −0.503607 | + | 1.16749i | 0.456972 | + | 0.889481i | \(0.348934\pi\) |
−0.960578 | + | 0.278010i | \(0.910325\pi\) | |||||||
\(692\) | 110.629 | + | 40.2655i | 4.20547 | + | 1.53067i | ||||
\(693\) | 1.35846 | + | 0.602712i | 0.0516038 | + | 0.0228951i | ||||
\(694\) | 72.7986 | − | 26.4965i | 2.76340 | − | 1.00579i | ||||
\(695\) | −0.679194 | + | 11.6613i | −0.0257633 | + | 0.442339i | ||||
\(696\) | 17.5188 | + | 124.067i | 0.664049 | + | 4.70276i | ||||
\(697\) | −3.48730 | − | 8.08447i | −0.132091 | − | 0.306221i | ||||
\(698\) | −3.90265 | − | 67.0059i | −0.147717 | − | 2.53621i | ||||
\(699\) | −21.4877 | − | 24.3983i | −0.812741 | − | 0.922828i | ||||
\(700\) | 44.6655 | − | 47.3426i | 1.68820 | − | 1.78938i | ||||
\(701\) | 7.63600 | + | 13.2259i | 0.288408 | + | 0.499537i | 0.973430 | − | 0.228985i | \(-0.0735408\pi\) |
−0.685022 | + | 0.728522i | \(0.740207\pi\) | |||||||
\(702\) | −17.1229 | − | 8.31009i | −0.646263 | − | 0.313644i | ||||
\(703\) | 24.1410 | − | 41.8134i | 0.910493 | − | 1.57702i | ||||
\(704\) | 0.407112 | + | 1.35985i | 0.0153436 | + | 0.0512512i | ||||
\(705\) | −3.90640 | + | 4.88831i | −0.147123 | + | 0.184104i | ||||
\(706\) | 50.5550 | − | 33.2505i | 1.90266 | − | 1.25140i | ||||
\(707\) | 27.2666 | + | 3.18701i | 1.02547 | + | 0.119860i | ||||
\(708\) | 27.3959 | − | 43.9062i | 1.02960 | − | 1.65009i | ||||
\(709\) | −24.2344 | + | 12.1710i | −0.910143 | + | 0.457091i | −0.841320 | − | 0.540538i | \(-0.818221\pi\) |
−0.0688233 | + | 0.997629i | \(0.521924\pi\) | |||||||
\(710\) | −1.48471 | + | 8.42022i | −0.0557202 | + | 0.316005i | ||||
\(711\) | −2.96222 | − | 0.553944i | −0.111092 | − | 0.0207745i | ||||
\(712\) | 12.5517 | + | 71.1845i | 0.470397 | + | 2.66775i | ||||
\(713\) | 1.42268 | + | 1.91099i | 0.0532797 | + | 0.0715670i | ||||
\(714\) | 37.0879 | + | 26.2559i | 1.38798 | + | 0.982601i | ||||
\(715\) | −0.153668 | − | 0.162878i | −0.00574685 | − | 0.00609131i | ||||
\(716\) | −12.3948 | + | 41.4014i | −0.463214 | + | 1.54724i | ||||
\(717\) | 8.66953 | − | 18.3438i | 0.323770 | − | 0.685061i | ||||
\(718\) | −47.5299 | + | 5.55544i | −1.77380 | + | 0.207327i | ||||
\(719\) | −6.88437 | + | 5.77667i | −0.256744 | + | 0.215434i | −0.762070 | − | 0.647495i | \(-0.775817\pi\) |
0.505326 | + | 0.862929i | \(0.331372\pi\) | |||||||
\(720\) | −38.4938 | + | 1.84305i | −1.43458 | + | 0.0686865i | ||||
\(721\) | −16.3659 | − | 13.7326i | −0.609497 | − | 0.511429i | ||||
\(722\) | 29.0131 | + | 19.0822i | 1.07976 | + | 0.710167i | ||||
\(723\) | 5.71455 | − | 26.9711i | 0.212526 | − | 1.00306i | ||||
\(724\) | 1.59301 | − | 2.13978i | 0.0592037 | − | 0.0795244i | ||||
\(725\) | 29.2223 | + | 14.6760i | 1.08529 | + | 0.545052i | ||||
\(726\) | −1.19773 | − | 50.0600i | −0.0444520 | − | 1.85790i | ||||
\(727\) | 27.0078 | + | 6.40096i | 1.00166 | + | 0.237398i | 0.698554 | − | 0.715557i | \(-0.253827\pi\) |
0.303109 | + | 0.952956i | \(0.401975\pi\) | |||||||
\(728\) | 40.6486 | 1.50654 | ||||||||
\(729\) | −26.7224 | + | 3.86197i | −0.989718 | + | 0.143036i | ||||
\(730\) | −19.3300 | −0.715435 | ||||||||
\(731\) | 1.74338 | + | 0.413188i | 0.0644811 | + | 0.0152823i | ||||
\(732\) | 1.46404 | + | 61.1907i | 0.0541126 | + | 2.26167i | ||||
\(733\) | −0.214790 | − | 0.107871i | −0.00793343 | − | 0.00398432i | 0.444828 | − | 0.895616i | \(-0.353265\pi\) |
−0.452761 | + | 0.891632i | \(0.649561\pi\) | |||||||
\(734\) | 19.3382 | − | 25.9757i | 0.713785 | − | 0.958779i | ||||
\(735\) | 3.24953 | − | 15.3369i | 0.119861 | − | 0.565709i | ||||
\(736\) | −31.6323 | − | 20.8049i | −1.16598 | − | 0.766877i | ||||
\(737\) | −0.312636 | − | 0.262332i | −0.0115161 | − | 0.00966314i | ||||
\(738\) | −26.4004 | + | 1.26403i | −0.971813 | + | 0.0465296i | ||||
\(739\) | −24.3258 | + | 20.4118i | −0.894840 | + | 0.750860i | −0.969175 | − | 0.246373i | \(-0.920761\pi\) |
0.0743349 | + | 0.997233i | \(0.476317\pi\) | |||||||
\(740\) | 51.2736 | − | 5.99302i | 1.88485 | − | 0.220308i | ||||
\(741\) | −5.84320 | + | 12.3636i | −0.214655 | + | 0.454187i | ||||
\(742\) | −12.2073 | + | 40.7753i | −0.448145 | + | 1.49691i | ||||
\(743\) | 20.1015 | + | 21.3063i | 0.737452 | + | 0.781654i | 0.982181 | − | 0.187938i | \(-0.0601803\pi\) |
−0.244728 | + | 0.969592i | \(0.578699\pi\) | |||||||
\(744\) | −8.26780 | − | 5.85308i | −0.303112 | − | 0.214584i | ||||
\(745\) | −10.8099 | − | 14.5202i | −0.396044 | − | 0.531979i | ||||
\(746\) | −1.48063 | − | 8.39705i | −0.0542096 | − | 0.307438i | ||||
\(747\) | 26.7682 | + | 5.00574i | 0.979399 | + | 0.183151i | ||||
\(748\) | −0.294406 | + | 1.66966i | −0.0107645 | + | 0.0610487i | ||||
\(749\) | 54.0298 | − | 27.1348i | 1.97421 | − | 0.991484i | ||||
\(750\) | −25.2051 | + | 40.3950i | −0.920359 | + | 1.47502i | ||||
\(751\) | −45.6209 | − | 5.33232i | −1.66473 | − | 0.194579i | −0.769022 | − | 0.639223i | \(-0.779256\pi\) |
−0.895708 | + | 0.444644i | \(0.853330\pi\) | |||||||
\(752\) | 25.5982 | − | 16.8362i | 0.933472 | − | 0.613954i | ||||
\(753\) | 17.0014 | − | 21.2749i | 0.619566 | − | 0.775300i | ||||
\(754\) | 9.85654 | + | 32.9231i | 0.358954 | + | 1.19899i | ||||
\(755\) | 6.51160 | − | 11.2784i | 0.236982 | − | 0.410464i | ||||
\(756\) | 80.3416 | − | 54.4194i | 2.92200 | − | 1.97922i | ||||
\(757\) | 2.70356 | + | 4.68271i | 0.0982627 | + | 0.170196i | 0.910966 | − | 0.412482i | \(-0.135338\pi\) |
−0.812703 | + | 0.582678i | \(0.802005\pi\) | |||||||
\(758\) | 57.7907 | − | 61.2546i | 2.09905 | − | 2.22487i | ||||
\(759\) | −0.470118 | − | 0.533796i | −0.0170642 | − | 0.0193756i | ||||
\(760\) | 3.13054 | + | 53.7494i | 0.113557 | + | 1.94969i | ||||
\(761\) | −17.4415 | − | 40.4339i | −0.632253 | − | 1.46573i | −0.869328 | − | 0.494236i | \(-0.835448\pi\) |
0.237075 | − | 0.971491i | \(-0.423811\pi\) | |||||||
\(762\) | 11.2716 | + | 79.8248i | 0.408326 | + | 2.89175i | ||||
\(763\) | 4.12845 | − | 70.8827i | 0.149460 | − | 2.56613i | ||||
\(764\) | −4.17907 | + | 1.52106i | −0.151193 | + | 0.0550299i | ||||
\(765\) | −8.87822 | − | 3.93901i | −0.320993 | − | 0.142415i | ||||
\(766\) | −32.9986 | − | 12.0105i | −1.19229 | − | 0.433957i | ||||
\(767\) | 3.34096 | − | 7.74522i | 0.120635 | − | 0.279664i | ||||
\(768\) | −16.6266 | − | 4.54731i | −0.599962 | − | 0.164087i | ||||
\(769\) | −5.42185 | + | 1.28500i | −0.195517 | + | 0.0463384i | −0.327208 | − | 0.944952i | \(-0.606108\pi\) |
0.131691 | + | 0.991291i | \(0.457959\pi\) | |||||||
\(770\) | 1.56165 | − | 0.370117i | 0.0562778 | − | 0.0133381i | ||||
\(771\) | 1.78017 | − | 1.76187i | 0.0641113 | − | 0.0634521i | ||||
\(772\) | 27.0952 | − | 62.8138i | 0.975179 | − | 2.26072i | ||||
\(773\) | −2.57652 | − | 0.937775i | −0.0926708 | − | 0.0337294i | 0.295269 | − | 0.955414i | \(-0.404591\pi\) |
−0.387940 | + | 0.921685i | \(0.626813\pi\) | |||||||
\(774\) | 3.00181 | − | 4.46287i | 0.107898 | − | 0.160415i | ||||
\(775\) | −2.48428 | + | 0.904205i | −0.0892381 | + | 0.0324800i | ||||
\(776\) | −6.27714 | + | 107.774i | −0.225336 | + | 3.86887i | ||||
\(777\) | −43.9818 | + | 34.4084i | −1.57784 | + | 1.23440i | ||||
\(778\) | −24.9924 | − | 57.9390i | −0.896022 | − | 2.07721i | ||||
\(779\) | 1.10417 | + | 18.9579i | 0.0395610 | + | 0.679236i | ||||
\(780\) | −14.3340 | + | 2.88260i | −0.513241 | + | 0.103213i | ||||
\(781\) | 0.236809 | − | 0.251003i | 0.00847371 | − | 0.00898161i | ||||
\(782\) | −10.8744 | − | 18.8349i | −0.388866 | − | 0.673536i | ||||
\(783\) | 37.7691 | + | 30.8274i | 1.34976 | + | 1.10168i | ||||
\(784\) | −38.3810 | + | 66.4778i | −1.37075 | + | 2.37421i | ||||
\(785\) | −2.74656 | − | 9.17413i | −0.0980288 | − | 0.327439i | ||||
\(786\) | −27.0541 | − | 4.10576i | −0.964988 | − | 0.146447i | ||||
\(787\) | 36.1696 | − | 23.7891i | 1.28931 | − | 0.847991i | 0.295101 | − | 0.955466i | \(-0.404647\pi\) |
0.994208 | + | 0.107475i | \(0.0342765\pi\) | |||||||
\(788\) | −104.327 | − | 12.1941i | −3.71650 | − | 0.434396i | ||||
\(789\) | 16.0469 | + | 30.1325i | 0.571284 | + | 1.07274i | ||||
\(790\) | −2.90819 | + | 1.46055i | −0.103469 | + | 0.0519639i | ||||
\(791\) | −0.184766 | + | 1.04786i | −0.00656953 | + | 0.0372576i | ||||
\(792\) | 2.60346 | + | 1.53920i | 0.0925098 | + | 0.0546931i | ||||
\(793\) | 1.73237 | + | 9.82476i | 0.0615182 | + | 0.348887i | ||||
\(794\) | −5.90045 | − | 7.92568i | −0.209399 | − | 0.281272i | ||||
\(795\) | 0.839743 | − | 9.05891i | 0.0297826 | − | 0.321286i | ||||
\(796\) | −65.1734 | − | 69.0798i | −2.31001 | − | 2.44847i | ||||
\(797\) | −7.31219 | + | 24.4244i | −0.259011 | + | 0.865157i | 0.725257 | + | 0.688478i | \(0.241721\pi\) |
−0.984268 | + | 0.176679i | \(0.943464\pi\) | |||||||
\(798\) | −55.8000 | − | 80.5736i | −1.97530 | − | 2.85227i | ||||
\(799\) | 7.66973 | − | 0.896463i | 0.271336 | − | 0.0317146i | ||||
\(800\) | 32.1842 | − | 27.0057i | 1.13788 | − | 0.954797i | ||||
\(801\) | 22.3847 | + | 17.0272i | 0.790925 | + | 0.601625i | ||||
\(802\) | −0.124909 | − | 0.104811i | −0.00441069 | − | 0.00370101i | ||||
\(803\) | 0.651811 | + | 0.428703i | 0.0230019 | + | 0.0151286i | ||||
\(804\) | −25.3379 | + | 8.25100i | −0.893599 | + | 0.290990i | ||||
\(805\) | −8.74555 | + | 11.7473i | −0.308240 | + | 0.414038i | ||||
\(806\) | −2.48290 | − | 1.24696i | −0.0874566 | − | 0.0439223i | ||||
\(807\) | −43.5797 | − | 23.7895i | −1.53408 | − | 0.837429i | ||||
\(808\) | 54.3607 | + | 12.8837i | 1.91240 | + | 0.453248i | ||||
\(809\) | −36.6855 | −1.28979 | −0.644897 | − | 0.764269i | \(-0.723100\pi\) | ||||
−0.644897 | + | 0.764269i | \(0.723100\pi\) | |||||||
\(810\) | −20.4430 | + | 20.7901i | −0.718293 | + | 0.730490i | ||||
\(811\) | −44.1438 | −1.55010 | −0.775050 | − | 0.631900i | \(-0.782275\pi\) | ||||
−0.775050 | + | 0.631900i | \(0.782275\pi\) | |||||||
\(812\) | −170.493 | − | 40.4076i | −5.98314 | − | 1.41803i | ||||
\(813\) | −17.1963 | + | 10.4845i | −0.603100 | + | 0.367709i | ||||
\(814\) | −2.61734 | − | 1.31448i | −0.0917376 | − | 0.0460723i | ||||
\(815\) | −11.8312 | + | 15.8920i | −0.414428 | + | 0.556673i | ||||
\(816\) | 35.3627 | + | 31.7991i | 1.23794 | + | 1.11319i | ||||
\(817\) | −3.22862 | − | 2.12349i | −0.112955 | − | 0.0742916i | ||||
\(818\) | 27.4701 | + | 23.0502i | 0.960470 | + | 0.805930i | ||||
\(819\) | 11.6158 | − | 10.7342i | 0.405888 | − | 0.375083i | ||||
\(820\) | −15.5537 | + | 13.0511i | −0.543160 | + | 0.455765i | ||||
\(821\) | −8.28900 | + | 0.968845i | −0.289288 | + | 0.0338129i | −0.259499 | − | 0.965743i | \(-0.583558\pi\) |
−0.0297888 | + | 0.999556i | \(0.509483\pi\) | |||||||
\(822\) | −17.4893 | + | 1.43909i | −0.610011 | + | 0.0501941i | ||||
\(823\) | 5.04059 | − | 16.8368i | 0.175704 | − | 0.586892i | −0.824087 | − | 0.566463i | \(-0.808311\pi\) |
0.999791 | − | 0.0204295i | \(-0.00650337\pi\) | |||||||
\(824\) | −29.8358 | − | 31.6241i | −1.03938 | − | 1.10168i | ||||
\(825\) | 0.717079 | − | 0.329879i | 0.0249655 | − | 0.0114849i | ||||
\(826\) | 36.1013 | + | 48.4924i | 1.25612 | + | 1.68727i | ||||
\(827\) | 1.23766 | + | 7.01909i | 0.0430375 | + | 0.244078i | 0.998736 | − | 0.0502708i | \(-0.0160084\pi\) |
−0.955698 | + | 0.294349i | \(0.904897\pi\) | |||||||
\(828\) | −45.8189 | + | 7.59171i | −1.59232 | + | 0.263830i | ||||
\(829\) | 0.574872 | − | 3.26026i | 0.0199661 | − | 0.113234i | −0.973196 | − | 0.229978i | \(-0.926135\pi\) |
0.993162 | + | 0.116744i | \(0.0372458\pi\) | |||||||
\(830\) | 26.2800 | − | 13.1983i | 0.912192 | − | 0.458120i | ||||
\(831\) | −2.31017 | − | 0.0791687i | −0.0801387 | − | 0.00274633i | ||||
\(832\) | 15.0043 | + | 1.75375i | 0.520180 | + | 0.0608003i | ||||
\(833\) | −16.1638 | + | 10.6311i | −0.560042 | + | 0.368345i | ||||
\(834\) | −15.7685 | − | 40.2974i | −0.546020 | − | 1.39539i | ||||
\(835\) | 1.67513 | + | 5.59534i | 0.0579704 | + | 0.193635i | ||||
\(836\) | 1.82837 | − | 3.16683i | 0.0632355 | − | 0.109527i | ||||
\(837\) | −3.90825 | + | 0.510723i | −0.135089 | + | 0.0176532i | ||||
\(838\) | 32.7693 | + | 56.7581i | 1.13200 | + | 1.96068i | ||||
\(839\) | 12.2088 | − | 12.9406i | 0.421496 | − | 0.446760i | −0.481476 | − | 0.876459i | \(-0.659899\pi\) |
0.902972 | + | 0.429700i | \(0.141381\pi\) | |||||||
\(840\) | 19.8922 | − | 59.0083i | 0.686347 | − | 2.03598i | ||||
\(841\) | −3.43233 | − | 58.9308i | −0.118356 | − | 2.03210i | ||||
\(842\) | 12.9352 | + | 29.9871i | 0.445775 | + | 1.03342i | ||||
\(843\) | 18.6386 | + | 7.51640i | 0.641949 | + | 0.258879i | ||||
\(844\) | −0.168037 | + | 2.88509i | −0.00578408 | + | 0.0993089i | ||||
\(845\) | 12.7954 | − | 4.65713i | 0.440174 | − | 0.160210i | ||||
\(846\) | 5.57869 | − | 22.4995i | 0.191799 | − | 0.773549i | ||||
\(847\) | 39.1016 | + | 14.2318i | 1.34355 | + | 0.489012i | ||||
\(848\) | −17.6437 | + | 40.9027i | −0.605887 | + | 1.40460i | ||||
\(849\) | −4.27554 | − | 16.2928i | −0.146736 | − | 0.559168i | ||||
\(850\) | 23.4836 | − | 5.56572i | 0.805482 | − | 0.190903i | ||||
\(851\) | 26.0065 | − | 6.16364i | 0.891490 | − | 0.211287i | ||||
\(852\) | −5.71909 | − | 21.7938i | −0.195933 | − | 0.746643i | ||||
\(853\) | −2.17989 | + | 5.05355i | −0.0746380 | + | 0.173030i | −0.951450 | − | 0.307803i | \(-0.900406\pi\) |
0.876812 | + | 0.480833i | \(0.159666\pi\) | |||||||
\(854\) | −67.1892 | − | 24.4549i | −2.29917 | − | 0.836829i | ||||
\(855\) | 15.0883 | + | 14.5328i | 0.516010 | + | 0.497010i | ||||
\(856\) | 115.621 | − | 42.0825i | 3.95183 | − | 1.43835i | ||||
\(857\) | −1.47654 | + | 25.3512i | −0.0504376 | + | 0.865980i | 0.874303 | + | 0.485381i | \(0.161319\pi\) |
−0.924740 | + | 0.380599i | \(0.875718\pi\) | |||||||
\(858\) | 0.769339 | + | 0.310251i | 0.0262648 | + | 0.0105918i | ||||
\(859\) | 4.93166 | + | 11.4329i | 0.168266 | + | 0.390084i | 0.981395 | − | 0.191999i | \(-0.0614970\pi\) |
−0.813129 | + | 0.582083i | \(0.802238\pi\) | |||||||
\(860\) | −0.240239 | − | 4.12474i | −0.00819207 | − | 0.140652i | ||||
\(861\) | 7.01616 | − | 20.8127i | 0.239110 | − | 0.709296i | ||||
\(862\) | 15.8404 | − | 16.7898i | 0.539526 | − | 0.571864i | ||||
\(863\) | −24.3982 | − | 42.2589i | −0.830524 | − | 1.43851i | −0.897623 | − | 0.440764i | \(-0.854708\pi\) |
0.0670988 | − | 0.997746i | \(-0.478626\pi\) | |||||||
\(864\) | 55.5876 | − | 28.8694i | 1.89113 | − | 0.982158i | ||||
\(865\) | 14.6978 | − | 25.4574i | 0.499741 | − | 0.865577i | ||||
\(866\) | 14.7675 | + | 49.3269i | 0.501820 | + | 1.67620i | ||||
\(867\) | −6.36198 | − | 16.2584i | −0.216064 | − | 0.552165i | ||||
\(868\) | 11.8352 | − | 7.78412i | 0.401712 | − | 0.264210i | ||||
\(869\) | 0.130457 | + | 0.0152482i | 0.00442545 | + | 0.000517261i | ||||
\(870\) | 52.6170 | + | 1.80317i | 1.78388 | + | 0.0611332i | ||||
\(871\) | −3.88128 | + | 1.94925i | −0.131512 | + | 0.0660480i | ||||
\(872\) | 25.0912 | − | 142.299i | 0.849695 | − | 4.81886i | ||||
\(873\) | 26.6665 | + | 32.4553i | 0.902525 | + | 1.09845i | ||||
\(874\) | 8.14558 | + | 46.1959i | 0.275528 | + | 1.56260i | ||||
\(875\) | −23.6273 | − | 31.7370i | −0.798749 | − | 1.07291i | ||||
\(876\) | 46.2774 | − | 21.2891i | 1.56357 | − | 0.719291i | ||||
\(877\) | 34.1706 | + | 36.2187i | 1.15386 | + | 1.22302i | 0.970793 | + | 0.239919i | \(0.0771208\pi\) |
0.183066 | + | 0.983101i | \(0.441398\pi\) | |||||||
\(878\) | −11.5891 | + | 38.7104i | −0.391114 | + | 1.30641i | ||||
\(879\) | −51.6438 | + | 4.24945i | −1.74190 | + | 0.143330i | ||||
\(880\) | 1.66830 | − | 0.194996i | 0.0562383 | − | 0.00657332i | ||||
\(881\) | 4.47939 | − | 3.75866i | 0.150915 | − | 0.126632i | −0.564204 | − | 0.825635i | \(-0.690817\pi\) |
0.715119 | + | 0.699003i | \(0.246373\pi\) | |||||||
\(882\) | 12.8087 | + | 56.6469i | 0.431292 | + | 1.90740i | ||||
\(883\) | 2.53673 | + | 2.12857i | 0.0853676 | + | 0.0716319i | 0.684473 | − | 0.729038i | \(-0.260032\pi\) |
−0.599105 | + | 0.800670i | \(0.704477\pi\) | |||||||
\(884\) | 15.0747 | + | 9.91477i | 0.507016 | + | 0.333470i | ||||
\(885\) | −9.60854 | − | 8.64026i | −0.322988 | − | 0.290439i | ||||
\(886\) | −38.7677 | + | 52.0740i | −1.30243 | + | 1.74946i | ||||
\(887\) | 15.6159 | + | 7.84262i | 0.524332 | + | 0.263330i | 0.691217 | − | 0.722647i | \(-0.257075\pi\) |
−0.166885 | + | 0.985976i | \(0.553371\pi\) | |||||||
\(888\) | −97.0292 | + | 59.1585i | −3.25609 | + | 1.98523i | ||||
\(889\) | −65.1856 | − | 15.4493i | −2.18625 | − | 0.518152i | ||||
\(890\) | 30.3718 | 1.01806 | ||||||||
\(891\) | 1.15043 | − | 0.247660i | 0.0385408 | − | 0.00829693i | ||||
\(892\) | −58.0046 | −1.94214 | ||||||||
\(893\) | −16.2061 | − | 3.84091i | −0.542316 | − | 0.128531i | ||||
\(894\) | 58.8611 | + | 32.1313i | 1.96861 | + | 1.07463i | ||||
\(895\) | 9.64305 | + | 4.84292i | 0.322332 | + | 0.161881i | ||||
\(896\) | −10.1080 | + | 13.5774i | −0.337685 | + | 0.453589i | ||||
\(897\) | −7.19781 | + | 2.34389i | −0.240328 | + | 0.0782600i | ||||
\(898\) | 9.73709 | + | 6.40419i | 0.324931 | + | 0.213710i | ||||
\(899\) | 5.45191 | + | 4.57469i | 0.181831 | + | 0.152575i | ||||
\(900\) | 6.51185 | − | 51.1245i | 0.217062 | − | 1.70415i | ||||
\(901\) | −8.60039 | + | 7.21658i | −0.286520 | + | 0.240419i | ||||
\(902\) | 1.14418 | − | 0.133735i | 0.0380970 | − | 0.00445290i | ||||
\(903\) | 2.54462 | + | 3.67435i | 0.0846795 | + | 0.122275i | ||||
\(904\) | −0.621028 | + | 2.07438i | −0.0206551 | + | 0.0689928i | ||||
\(905\) | −0.457095 | − | 0.484493i | −0.0151944 | − | 0.0161051i | ||||
\(906\) | −4.45310 | + | 48.0388i | −0.147944 | + | 1.59598i | ||||
\(907\) | −26.1804 | − | 35.1664i | −0.869306 | − | 1.16768i | −0.984682 | − | 0.174358i | \(-0.944215\pi\) |
0.115376 | − | 0.993322i | \(-0.463193\pi\) | |||||||
\(908\) | 23.7801 | + | 134.863i | 0.789169 | + | 4.47560i | ||||
\(909\) | 18.9364 | − | 10.6735i | 0.628081 | − | 0.354019i | ||||
\(910\) | 2.96587 | − | 16.8203i | 0.0983176 | − | 0.557587i | ||||
\(911\) | −47.9333 | + | 24.0730i | −1.58810 | + | 0.797575i | −0.999938 | − | 0.0111658i | \(-0.996446\pi\) |
−0.588165 | + | 0.808741i | \(0.700149\pi\) | |||||||
\(912\) | −48.2143 | − | 90.5359i | −1.59654 | − | 2.99794i | ||||
\(913\) | −1.17888 | − | 0.137791i | −0.0390152 | − | 0.00456023i | ||||
\(914\) | 47.8183 | − | 31.4506i | 1.58169 | − | 1.04029i | ||||
\(915\) | 15.1101 | + | 2.29312i | 0.499524 | + | 0.0758081i | ||||
\(916\) | −25.7504 | − | 86.0125i | −0.850819 | − | 2.84193i | ||||
\(917\) | 11.3695 | − | 19.6926i | 0.375454 | − | 0.650306i | ||||
\(918\) | 35.9779 | − | 0.488840i | 1.18745 | − | 0.0161341i | ||||
\(919\) | −4.37754 | − | 7.58213i | −0.144402 | − | 0.250111i | 0.784748 | − | 0.619815i | \(-0.212792\pi\) |
−0.929150 | + | 0.369704i | \(0.879459\pi\) | |||||||
\(920\) | −20.4527 | + | 21.6785i | −0.674304 | + | 0.714720i | ||||
\(921\) | 50.0366 | − | 10.0624i | 1.64876 | − | 0.331568i | ||||
\(922\) | 1.65531 | + | 28.4205i | 0.0545146 | + | 0.935980i | ||||
\(923\) | −1.45458 | − | 3.37209i | −0.0478780 | − | 0.110994i | ||||
\(924\) | −3.33106 | + | 2.60600i | −0.109584 | + | 0.0857312i | ||||
\(925\) | −1.72448 | + | 29.6082i | −0.0567005 | + | 0.973510i | ||||
\(926\) | −42.6923 | + | 15.5387i | −1.40296 | + | 0.510635i | ||||
\(927\) | −16.8770 | − | 1.15810i | −0.554312 | − | 0.0380369i | ||||
\(928\) | −106.281 | − | 38.6829i | −3.48883 | − | 1.26983i | ||||
\(929\) | −18.4613 | + | 42.7980i | −0.605695 | + | 1.40416i | 0.288935 | + | 0.957349i | \(0.406699\pi\) |
−0.894629 | + | 0.446809i | \(0.852560\pi\) | |||||||
\(930\) | −3.02524 | + | 2.99413i | −0.0992015 | + | 0.0981815i | ||||
\(931\) | 40.6026 | − | 9.62299i | 1.33070 | − | 0.315381i | ||||
\(932\) | 90.0274 | − | 21.3369i | 2.94894 | − | 0.698913i | ||||
\(933\) | 29.7298 | + | 8.13095i | 0.973308 | + | 0.266195i | ||||
\(934\) | −39.7494 | + | 92.1494i | −1.30064 | + | 3.01522i | ||||
\(935\) | 0.397798 | + | 0.144787i | 0.0130094 | + | 0.00473503i | ||||
\(936\) | 26.0148 | − | 18.9526i | 0.850322 | − | 0.619486i | ||||
\(937\) | −24.1533 | + | 8.79110i | −0.789055 | + | 0.287193i | −0.704943 | − | 0.709264i | \(-0.749028\pi\) |
−0.0841120 | + | 0.996456i | \(0.526805\pi\) | |||||||
\(938\) | 1.80997 | − | 31.0760i | 0.0590976 | − | 1.01467i | ||||
\(939\) | −4.69880 | − | 33.2767i | −0.153340 | − | 1.08594i | ||||
\(940\) | −7.05316 | − | 16.3511i | −0.230049 | − | 0.533313i | ||||
\(941\) | −1.77286 | − | 30.4389i | −0.0577937 | − | 0.992279i | −0.895191 | − | 0.445684i | \(-0.852961\pi\) |
0.837397 | − | 0.546595i | \(-0.184076\pi\) | |||||||
\(942\) | 23.4471 | + | 26.6231i | 0.763949 | + | 0.867427i | ||||
\(943\) | −7.21383 | + | 7.64621i | −0.234914 | + | 0.248995i | ||||
\(944\) | 31.6354 | + | 54.7941i | 1.02964 | + | 1.78340i | ||||
\(945\) | −9.89809 | − | 22.1153i | −0.321985 | − | 0.719410i | ||||
\(946\) | −0.117209 | + | 0.203013i | −0.00381080 | + | 0.00660051i | ||||
\(947\) | 3.58496 | + | 11.9746i | 0.116496 | + | 0.389123i | 0.996272 | − | 0.0862647i | \(-0.0274931\pi\) |
−0.879777 | + | 0.475387i | \(0.842308\pi\) | |||||||
\(948\) | 5.35384 | − | 6.69958i | 0.173885 | − | 0.217592i | ||||
\(949\) | 6.93672 | − | 4.56235i | 0.225175 | − | 0.148100i | ||||
\(950\) | −51.7016 | − | 6.04305i | −1.67742 | − | 0.196062i | ||||
\(951\) | 3.87798 | − | 6.21505i | 0.125752 | − | 0.201537i | ||||
\(952\) | −68.6713 | + | 34.4880i | −2.22565 | + | 1.11776i | ||||
\(953\) | −9.76216 | + | 55.3640i | −0.316227 | + | 1.79341i | 0.249026 | + | 0.968497i | \(0.419890\pi\) |
−0.565253 | + | 0.824918i | \(0.691222\pi\) | |||||||
\(954\) | 11.1991 | + | 31.7877i | 0.362584 | + | 1.02916i | ||||
\(955\) | 0.192826 | + | 1.09357i | 0.00623969 | + | 0.0353871i | ||||
\(956\) | 34.4795 | + | 46.3140i | 1.11515 | + | 1.49790i | ||||
\(957\) | −1.73427 | − | 1.22775i | −0.0560609 | − | 0.0396876i | ||||
\(958\) | 42.0988 | + | 44.6221i | 1.36015 | + | 1.44168i | ||||
\(959\) | 4.18231 | − | 13.9699i | 0.135054 | − | 0.451112i | ||||
\(960\) | 9.88852 | − | 20.9230i | 0.319151 | − | 0.675288i | ||||
\(961\) | 30.2189 | − | 3.53208i | 0.974803 | − | 0.113938i | ||||
\(962\) | −23.8774 | + | 20.0355i | −0.769837 | + | 0.645970i | ||||
\(963\) | 21.9270 | − | 42.5578i | 0.706588 | − | 1.37141i | ||||
\(964\) | 60.1024 | + | 50.4319i | 1.93577 | + | 1.62430i | ||||
\(965\) | −14.2709 | − | 9.38612i | −0.459397 | − | 0.302150i | ||||
\(966\) | 11.2455 | − | 53.0754i | 0.361817 | − | 1.70767i | ||||
\(967\) | −36.5367 | + | 49.0773i | −1.17494 | + | 1.57822i | −0.443573 | + | 0.896238i | \(0.646289\pi\) |
−0.731369 | + | 0.681982i | \(0.761118\pi\) | |||||||
\(968\) | 75.6734 | + | 38.0046i | 2.43224 | + | 1.22151i | ||||
\(969\) | −0.618354 | − | 25.8445i | −0.0198644 | − | 0.830246i | ||||
\(970\) | 44.1388 | + | 10.4611i | 1.41721 | + | 0.335885i | ||||
\(971\) | 42.4290 | 1.36161 | 0.680806 | − | 0.732464i | \(-0.261630\pi\) | ||||
0.680806 | + | 0.732464i | \(0.261630\pi\) | |||||||
\(972\) | 26.0448 | − | 72.2878i | 0.835386 | − | 2.31863i | ||||
\(973\) | 35.9591 | 1.15279 | ||||||||
\(974\) | 18.1024 | + | 4.29035i | 0.580039 | + | 0.137472i | ||||
\(975\) | −0.200922 | − | 8.39769i | −0.00643467 | − | 0.268941i | ||||
\(976\) | −66.8719 | − | 33.5843i | −2.14052 | − | 1.07501i | ||||
\(977\) | −27.0975 | + | 36.3982i | −0.866925 | + | 1.16448i | 0.118260 | + | 0.992983i | \(0.462269\pi\) |
−0.985184 | + | 0.171499i | \(0.945139\pi\) | |||||||
\(978\) | 15.2131 | − | 71.8016i | 0.486462 | − | 2.29596i | ||||
\(979\) | −1.02414 | − | 0.673590i | −0.0327318 | − | 0.0215280i | ||||
\(980\) | 34.1767 | + | 28.6777i | 1.09174 | + | 0.916075i | ||||
\(981\) | −30.4073 | − | 47.2894i | −0.970830 | − | 1.50984i | ||||
\(982\) | 6.83444 | − | 5.73478i | 0.218096 | − | 0.183004i | ||||
\(983\) | 2.04564 | − | 0.239101i | 0.0652458 | − | 0.00762614i | −0.0834074 | − | 0.996516i | \(-0.526580\pi\) |
0.148653 | + | 0.988889i | \(0.452506\pi\) | |||||||
\(984\) | 19.0988 | − | 40.4110i | 0.608847 | − | 1.28826i | ||||
\(985\) | −7.52192 | + | 25.1250i | −0.239668 | + | 0.800548i | ||||
\(986\) | −44.5850 | − | 47.2573i | −1.41988 | − | 1.50498i | ||||
\(987\) | 15.7220 | + | 11.1302i | 0.500436 | + | 0.354277i | ||||
\(988\) | −23.2389 | − | 31.2153i | −0.739328 | − | 0.993090i | ||||
\(989\) | −0.371458 | − | 2.10665i | −0.0118117 | − | 0.0669874i | ||||
\(990\) | 0.826875 | − | 0.964999i | 0.0262798 | − | 0.0306697i | ||||
\(991\) | −3.80541 | + | 21.5815i | −0.120883 | + | 0.685560i | 0.862786 | + | 0.505570i | \(0.168718\pi\) |
−0.983668 | + | 0.179990i | \(0.942393\pi\) | |||||||
\(992\) | 8.17123 | − | 4.10375i | 0.259437 | − | 0.130294i | ||||
\(993\) | 10.7577 | − | 17.2409i | 0.341385 | − | 0.547122i | ||||
\(994\) | 26.1427 | + | 3.05565i | 0.829198 | + | 0.0969193i | ||||
\(995\) | −19.8123 | + | 13.0307i | −0.628092 | + | 0.413102i | ||||
\(996\) | −48.3802 | + | 60.5411i | −1.53299 | + | 1.91832i | ||||
\(997\) | −8.89724 | − | 29.7188i | −0.281778 | − | 0.941205i | −0.975321 | − | 0.220790i | \(-0.929136\pi\) |
0.693543 | − | 0.720415i | \(-0.256049\pi\) | |||||||
\(998\) | 42.2372 | − | 73.1570i | 1.33700 | − | 2.31575i | ||||
\(999\) | −12.1050 | + | 42.5280i | −0.382984 | + | 1.34553i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 81.2.g.a.16.1 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.208.8 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.379.1 | 144 | |||
9.4 | even | 3 | 729.2.g.d.622.8 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.622.1 | 144 | |||
9.7 | even | 3 | 729.2.g.c.379.8 | 144 | |||
81.5 | odd | 54 | 243.2.g.a.118.8 | 144 | |||
81.20 | odd | 54 | 6561.2.a.d.1.68 | 72 | |||
81.22 | even | 27 | 729.2.g.c.352.8 | 144 | |||
81.32 | odd | 54 | 729.2.g.a.109.1 | 144 | |||
81.49 | even | 27 | 729.2.g.d.109.8 | 144 | |||
81.59 | odd | 54 | 729.2.g.b.352.1 | 144 | |||
81.61 | even | 27 | 6561.2.a.c.1.5 | 72 | |||
81.76 | even | 27 | inner | 81.2.g.a.76.1 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.16.1 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.76.1 | yes | 144 | 81.76 | even | 27 | inner | |
243.2.g.a.118.8 | 144 | 81.5 | odd | 54 | |||
243.2.g.a.208.8 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.109.1 | 144 | 81.32 | odd | 54 | |||
729.2.g.a.622.1 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.352.1 | 144 | 81.59 | odd | 54 | |||
729.2.g.b.379.1 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.352.8 | 144 | 81.22 | even | 27 | |||
729.2.g.c.379.8 | 144 | 9.7 | even | 3 | |||
729.2.g.d.109.8 | 144 | 81.49 | even | 27 | |||
729.2.g.d.622.8 | 144 | 9.4 | even | 3 | |||
6561.2.a.c.1.5 | 72 | 81.61 | even | 27 | |||
6561.2.a.d.1.68 | 72 | 81.20 | odd | 54 |