Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(29,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.r (of order \(10\), degree \(4\), 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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 74.14 | ||
Character | \(\chi\) | \(=\) | 165.74 |
Dual form | 165.2.r.a.29.14 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.413334 | + | 0.568905i | 0.292271 | + | 0.402277i | 0.929750 | − | 0.368191i | \(-0.120023\pi\) |
−0.637479 | + | 0.770468i | \(0.720023\pi\) | |||||||
\(3\) | 1.53256 | − | 0.807004i | 0.884825 | − | 0.465924i | ||||
\(4\) | 0.465226 | − | 1.43182i | 0.232613 | − | 0.715909i | ||||
\(5\) | −2.00721 | − | 0.985452i | −0.897651 | − | 0.440707i | ||||
\(6\) | 1.09257 | + | 0.538320i | 0.446039 | + | 0.219768i | ||||
\(7\) | −0.615368 | + | 1.89391i | −0.232587 | + | 0.715830i | 0.764845 | + | 0.644214i | \(0.222816\pi\) |
−0.997432 | + | 0.0716158i | \(0.977184\pi\) | |||||||
\(8\) | 2.34444 | − | 0.761754i | 0.828884 | − | 0.269321i | ||||
\(9\) | 1.69749 | − | 2.47357i | 0.565829 | − | 0.824522i | ||||
\(10\) | −0.269018 | − | 1.54923i | −0.0850711 | − | 0.489910i | ||||
\(11\) | 3.26241 | + | 0.597209i | 0.983655 | + | 0.180065i | ||||
\(12\) | −0.442496 | − | 2.56979i | −0.127738 | − | 0.741834i | ||||
\(13\) | −3.43403 | + | 2.49497i | −0.952429 | + | 0.691980i | −0.951380 | − | 0.308019i | \(-0.900334\pi\) |
−0.00104920 | + | 0.999999i | \(0.500334\pi\) | |||||||
\(14\) | −1.33181 | + | 0.432730i | −0.355940 | + | 0.115652i | ||||
\(15\) | −3.87143 | + | 0.109561i | −0.999600 | + | 0.0282884i | ||||
\(16\) | −1.03355 | − | 0.750920i | −0.258388 | − | 0.187730i | ||||
\(17\) | −2.51291 | + | 3.45873i | −0.609471 | + | 0.838864i | −0.996534 | − | 0.0831888i | \(-0.973490\pi\) |
0.387063 | + | 0.922053i | \(0.373490\pi\) | |||||||
\(18\) | 2.10885 | − | 0.0566991i | 0.497062 | − | 0.0133641i | ||||
\(19\) | 0.257486 | − | 0.0836623i | 0.0590714 | − | 0.0191935i | −0.279332 | − | 0.960195i | \(-0.590113\pi\) |
0.338404 | + | 0.941001i | \(0.390113\pi\) | |||||||
\(20\) | −2.34479 | + | 2.41550i | −0.524312 | + | 0.540122i | ||||
\(21\) | 0.585303 | + | 3.39914i | 0.127724 | + | 0.741752i | ||||
\(22\) | 1.00871 | + | 2.10285i | 0.215058 | + | 0.448329i | ||||
\(23\) | 4.30856 | 0.898397 | 0.449198 | − | 0.893432i | \(-0.351710\pi\) | ||||
0.449198 | + | 0.893432i | \(0.351710\pi\) | |||||||
\(24\) | 2.97826 | − | 3.05941i | 0.607934 | − | 0.624499i | ||||
\(25\) | 3.05777 | + | 3.95601i | 0.611554 | + | 0.791203i | ||||
\(26\) | −2.83880 | − | 0.922383i | −0.556735 | − | 0.180894i | ||||
\(27\) | 0.605325 | − | 5.16077i | 0.116495 | − | 0.993191i | ||||
\(28\) | 2.42545 | + | 1.76219i | 0.458366 | + | 0.333023i | ||||
\(29\) | −2.26468 | + | 6.96997i | −0.420540 | + | 1.29429i | 0.486660 | + | 0.873591i | \(0.338215\pi\) |
−0.907200 | + | 0.420699i | \(0.861785\pi\) | |||||||
\(30\) | −1.66252 | − | 2.15719i | −0.303534 | − | 0.393848i | ||||
\(31\) | −5.24479 | + | 3.81056i | −0.941992 | + | 0.684397i | −0.948899 | − | 0.315579i | \(-0.897801\pi\) |
0.00690742 | + | 0.999976i | \(0.497801\pi\) | |||||||
\(32\) | − | 5.82855i | − | 1.03035i | ||||||
\(33\) | 5.48180 | − | 1.71752i | 0.954259 | − | 0.298982i | ||||
\(34\) | −3.00636 | −0.515586 | ||||||||
\(35\) | 3.10153 | − | 3.19505i | 0.524254 | − | 0.540063i | ||||
\(36\) | −2.75198 | − | 3.58126i | −0.458664 | − | 0.596877i | ||||
\(37\) | −5.66863 | − | 1.84185i | −0.931917 | − | 0.302798i | −0.196571 | − | 0.980490i | \(-0.562980\pi\) |
−0.735346 | + | 0.677692i | \(0.762980\pi\) | |||||||
\(38\) | 0.154024 | + | 0.111905i | 0.0249859 | + | 0.0181533i | ||||
\(39\) | −3.24941 | + | 6.59498i | −0.520323 | + | 1.05604i | ||||
\(40\) | −5.45645 | − | 0.781331i | −0.862740 | − | 0.123539i | ||||
\(41\) | −2.95108 | − | 9.08248i | −0.460881 | − | 1.41844i | −0.864090 | − | 0.503337i | \(-0.832105\pi\) |
0.403210 | − | 0.915108i | \(-0.367895\pi\) | |||||||
\(42\) | −1.69186 | + | 1.73796i | −0.261060 | + | 0.268173i | ||||
\(43\) | 1.68949 | 0.257645 | 0.128822 | − | 0.991668i | \(-0.458880\pi\) | ||||
0.128822 | + | 0.991668i | \(0.458880\pi\) | |||||||
\(44\) | 2.37285 | − | 4.39334i | 0.357721 | − | 0.662322i | ||||
\(45\) | −5.84479 | + | 3.29217i | −0.871290 | + | 0.490768i | ||||
\(46\) | 1.78087 | + | 2.45116i | 0.262575 | + | 0.361404i | ||||
\(47\) | 0.0723398 | + | 0.222639i | 0.0105518 | + | 0.0324752i | 0.956194 | − | 0.292734i | \(-0.0945652\pi\) |
−0.945642 | + | 0.325210i | \(0.894565\pi\) | |||||||
\(48\) | −2.18998 | − | 0.316750i | −0.316096 | − | 0.0457189i | ||||
\(49\) | 2.45491 | + | 1.78359i | 0.350701 | + | 0.254799i | ||||
\(50\) | −0.986717 | + | 3.37473i | −0.139543 | + | 0.477260i | ||||
\(51\) | −1.05998 | + | 7.32864i | −0.148427 | + | 1.02622i | ||||
\(52\) | 1.97474 | + | 6.07763i | 0.273848 | + | 0.842816i | ||||
\(53\) | 5.61095 | − | 4.07659i | 0.770723 | − | 0.559963i | −0.131458 | − | 0.991322i | \(-0.541966\pi\) |
0.902180 | + | 0.431359i | \(0.141966\pi\) | |||||||
\(54\) | 3.18619 | − | 1.78875i | 0.433586 | − | 0.243418i | ||||
\(55\) | −5.95982 | − | 4.41367i | −0.803622 | − | 0.595140i | ||||
\(56\) | 4.90891i | 0.655981i | ||||||||
\(57\) | 0.327097 | − | 0.336010i | 0.0433251 | − | 0.0445056i | ||||
\(58\) | −4.90132 | + | 1.59253i | −0.643574 | + | 0.209110i | ||||
\(59\) | −10.0360 | − | 3.26089i | −1.30657 | − | 0.424531i | −0.428710 | − | 0.903442i | \(-0.641032\pi\) |
−0.877864 | + | 0.478911i | \(0.841032\pi\) | |||||||
\(60\) | −1.64422 | + | 5.59416i | −0.212268 | + | 0.722203i | ||||
\(61\) | 5.68030 | − | 7.81826i | 0.727288 | − | 1.00103i | −0.271962 | − | 0.962308i | \(-0.587673\pi\) |
0.999250 | − | 0.0387180i | \(-0.0123274\pi\) | |||||||
\(62\) | −4.33570 | − | 1.40875i | −0.550634 | − | 0.178912i | ||||
\(63\) | 3.64013 | + | 4.73704i | 0.458613 | + | 0.596811i | ||||
\(64\) | 1.24878 | − | 0.907295i | 0.156098 | − | 0.113412i | ||||
\(65\) | 9.35149 | − | 1.62385i | 1.15991 | − | 0.201414i | ||||
\(66\) | 3.24292 | + | 2.40871i | 0.399176 | + | 0.296492i | ||||
\(67\) | − | 0.901700i | − | 0.110160i | −0.998482 | − | 0.0550801i | \(-0.982459\pi\) | ||
0.998482 | − | 0.0550801i | \(-0.0175414\pi\) | |||||||
\(68\) | 3.78319 | + | 5.20712i | 0.458780 | + | 0.631456i | ||||
\(69\) | 6.60313 | − | 3.47703i | 0.794924 | − | 0.418585i | ||||
\(70\) | 3.09965 | + | 0.443851i | 0.370479 | + | 0.0530504i | ||||
\(71\) | 0.309146 | − | 0.425503i | 0.0366889 | − | 0.0504979i | −0.790278 | − | 0.612748i | \(-0.790064\pi\) |
0.826967 | + | 0.562250i | \(0.190064\pi\) | |||||||
\(72\) | 2.09541 | − | 7.09219i | 0.246946 | − | 0.835823i | ||||
\(73\) | 3.18366 | − | 9.79830i | 0.372619 | − | 1.14680i | −0.572451 | − | 0.819939i | \(-0.694008\pi\) |
0.945071 | − | 0.326866i | \(-0.105992\pi\) | |||||||
\(74\) | −1.29520 | − | 3.98621i | −0.150564 | − | 0.463387i | ||||
\(75\) | 7.87874 | + | 3.59520i | 0.909759 | + | 0.415138i | ||||
\(76\) | − | 0.407595i | − | 0.0467544i | ||||||
\(77\) | −3.13864 | + | 5.81121i | −0.357682 | + | 0.662249i | ||||
\(78\) | −5.09501 | + | 0.877318i | −0.576896 | + | 0.0993367i | ||||
\(79\) | 0.132574 | + | 0.182473i | 0.0149158 | + | 0.0205298i | 0.816410 | − | 0.577473i | \(-0.195961\pi\) |
−0.801494 | + | 0.598003i | \(0.795961\pi\) | |||||||
\(80\) | 1.33456 | + | 2.52577i | 0.149208 | + | 0.282390i | ||||
\(81\) | −3.23707 | − | 8.39770i | −0.359674 | − | 0.933078i | ||||
\(82\) | 3.94729 | − | 5.43298i | 0.435905 | − | 0.599972i | ||||
\(83\) | −1.18199 | + | 1.62687i | −0.129740 | + | 0.178572i | −0.868945 | − | 0.494909i | \(-0.835201\pi\) |
0.739205 | + | 0.673480i | \(0.235201\pi\) | |||||||
\(84\) | 5.13924 | + | 0.743318i | 0.560737 | + | 0.0811027i | ||||
\(85\) | 8.45235 | − | 4.46603i | 0.916786 | − | 0.484409i | ||||
\(86\) | 0.698323 | + | 0.961159i | 0.0753021 | + | 0.103644i | ||||
\(87\) | 2.15403 | + | 12.5095i | 0.230937 | + | 1.34116i | ||||
\(88\) | 8.10345 | − | 1.08504i | 0.863831 | − | 0.115665i | ||||
\(89\) | 15.8563i | 1.68076i | 0.541995 | + | 0.840382i | \(0.317669\pi\) | ||||
−0.541995 | + | 0.840382i | \(0.682331\pi\) | |||||||
\(90\) | −4.28878 | − | 1.96437i | −0.452077 | − | 0.207062i | ||||
\(91\) | −2.61205 | − | 8.03907i | −0.273817 | − | 0.842724i | ||||
\(92\) | 2.00445 | − | 6.16907i | 0.208979 | − | 0.643170i | ||||
\(93\) | −4.96282 | + | 10.0725i | −0.514620 | + | 1.04447i | ||||
\(94\) | −0.0967600 | + | 0.133179i | −0.00998003 | + | 0.0137363i | ||||
\(95\) | −0.599274 | − | 0.0858125i | −0.0614842 | − | 0.00880417i | ||||
\(96\) | −4.70366 | − | 8.93261i | −0.480066 | − | 0.911681i | ||||
\(97\) | 1.94083 | + | 2.67133i | 0.197062 | + | 0.271232i | 0.896100 | − | 0.443852i | \(-0.146388\pi\) |
−0.699038 | + | 0.715084i | \(0.746388\pi\) | |||||||
\(98\) | 2.13383i | 0.215549i | ||||||||
\(99\) | 7.01514 | − | 7.05604i | 0.705049 | − | 0.709159i | ||||
\(100\) | 7.08684 | − | 2.53773i | 0.708684 | − | 0.253773i | ||||
\(101\) | 1.38290 | − | 1.00474i | 0.137604 | − | 0.0999752i | −0.516854 | − | 0.856074i | \(-0.672897\pi\) |
0.654458 | + | 0.756098i | \(0.272897\pi\) | |||||||
\(102\) | −4.60743 | + | 2.42614i | −0.456203 | + | 0.240224i | ||||
\(103\) | 5.63920 | + | 1.83229i | 0.555647 | + | 0.180541i | 0.573361 | − | 0.819303i | \(-0.305639\pi\) |
−0.0177148 | + | 0.999843i | \(0.505639\pi\) | |||||||
\(104\) | −6.15032 | + | 8.46519i | −0.603089 | + | 0.830080i | ||||
\(105\) | 2.17486 | − | 7.39956i | 0.212245 | − | 0.722123i | ||||
\(106\) | 4.63839 | + | 1.50710i | 0.450520 | + | 0.146383i | ||||
\(107\) | −3.00951 | + | 0.977849i | −0.290940 | + | 0.0945322i | −0.450851 | − | 0.892599i | \(-0.648879\pi\) |
0.159911 | + | 0.987131i | \(0.448879\pi\) | |||||||
\(108\) | −7.10767 | − | 3.26764i | −0.683936 | − | 0.314429i | ||||
\(109\) | 3.60358i | 0.345160i | 0.984996 | + | 0.172580i | \(0.0552103\pi\) | ||||
−0.984996 | + | 0.172580i | \(0.944790\pi\) | |||||||
\(110\) | 0.0475657 | − | 5.21489i | 0.00453521 | − | 0.497221i | ||||
\(111\) | −10.1739 | + | 1.75186i | −0.965664 | + | 0.166279i | ||||
\(112\) | 2.05819 | − | 1.49536i | 0.194481 | − | 0.141298i | ||||
\(113\) | −2.37599 | − | 7.31255i | −0.223515 | − | 0.687907i | −0.998439 | − | 0.0558532i | \(-0.982212\pi\) |
0.774924 | − | 0.632054i | \(-0.217788\pi\) | |||||||
\(114\) | 0.326358 | + | 0.0472031i | 0.0305662 | + | 0.00442098i | ||||
\(115\) | −8.64818 | − | 4.24588i | −0.806447 | − | 0.395930i | ||||
\(116\) | 8.92613 | + | 6.48522i | 0.828771 | + | 0.602137i | ||||
\(117\) | 0.342248 | + | 12.7295i | 0.0316409 | + | 1.17684i | ||||
\(118\) | −2.29307 | − | 7.05735i | −0.211095 | − | 0.649682i | ||||
\(119\) | −5.00415 | − | 6.88762i | −0.458729 | − | 0.631387i | ||||
\(120\) | −8.99288 | + | 3.20594i | −0.820934 | + | 0.292661i | ||||
\(121\) | 10.2867 | + | 3.89669i | 0.935153 | + | 0.354244i | ||||
\(122\) | 6.79571 | 0.615254 | ||||||||
\(123\) | −11.8523 | − | 11.5379i | −1.06869 | − | 1.04034i | ||||
\(124\) | 3.01602 | + | 9.28235i | 0.270847 | + | 0.833580i | ||||
\(125\) | −2.23912 | − | 10.9538i | −0.200273 | − | 0.979740i | ||||
\(126\) | −1.19034 | + | 4.02887i | −0.106044 | + | 0.358920i | ||||
\(127\) | −8.13967 | − | 5.91381i | −0.722279 | − | 0.524766i | 0.164833 | − | 0.986322i | \(-0.447292\pi\) |
−0.887111 | + | 0.461555i | \(0.847292\pi\) | |||||||
\(128\) | −10.0542 | − | 3.26682i | −0.888677 | − | 0.288749i | ||||
\(129\) | 2.58925 | − | 1.36342i | 0.227970 | − | 0.120043i | ||||
\(130\) | 4.78911 | + | 4.64892i | 0.420032 | + | 0.407737i | ||||
\(131\) | 15.8485 | 1.38469 | 0.692345 | − | 0.721567i | \(-0.256578\pi\) | ||||
0.692345 | + | 0.721567i | \(0.256578\pi\) | |||||||
\(132\) | 0.0910953 | − | 8.64797i | 0.00792883 | − | 0.752709i | ||||
\(133\) | 0.539138i | 0.0467492i | ||||||||
\(134\) | 0.512982 | − | 0.372703i | 0.0443149 | − | 0.0321966i | ||||
\(135\) | −6.30071 | + | 9.76223i | −0.542278 | + | 0.840199i | ||||
\(136\) | −3.25667 | + | 10.0230i | −0.279257 | + | 0.859464i | ||||
\(137\) | 10.2568 | + | 7.45199i | 0.876296 | + | 0.636667i | 0.932269 | − | 0.361766i | \(-0.117826\pi\) |
−0.0559727 | + | 0.998432i | \(0.517826\pi\) | |||||||
\(138\) | 4.70739 | + | 2.31938i | 0.400720 | + | 0.197439i | ||||
\(139\) | −14.4997 | − | 4.71125i | −1.22985 | − | 0.399603i | −0.379192 | − | 0.925318i | \(-0.623798\pi\) |
−0.850661 | + | 0.525715i | \(0.823798\pi\) | |||||||
\(140\) | −3.13182 | − | 5.92724i | −0.264687 | − | 0.500943i | ||||
\(141\) | 0.290536 | + | 0.282829i | 0.0244675 | + | 0.0238185i | ||||
\(142\) | 0.369851 | 0.0310372 | ||||||||
\(143\) | −12.6933 | + | 6.08879i | −1.06146 | + | 0.509170i | ||||
\(144\) | −3.61190 | + | 1.28188i | −0.300991 | + | 0.106824i | ||||
\(145\) | 11.4142 | − | 11.7584i | 0.947902 | − | 0.976485i | ||||
\(146\) | 6.89022 | − | 2.23877i | 0.570238 | − | 0.185282i | ||||
\(147\) | 5.20166 | + | 0.752347i | 0.429026 | + | 0.0620526i | ||||
\(148\) | −5.27438 | + | 7.25957i | −0.433552 | + | 0.596733i | ||||
\(149\) | −7.06258 | − | 5.13126i | −0.578589 | − | 0.420370i | 0.259626 | − | 0.965709i | \(-0.416401\pi\) |
−0.838215 | + | 0.545340i | \(0.816401\pi\) | |||||||
\(150\) | 1.21122 | + | 5.96827i | 0.0988958 | + | 0.487307i | ||||
\(151\) | −17.9932 | + | 5.84634i | −1.46426 | + | 0.475768i | −0.929370 | − | 0.369150i | \(-0.879649\pi\) |
−0.534895 | + | 0.844919i | \(0.679649\pi\) | |||||||
\(152\) | 0.539930 | − | 0.392282i | 0.0437941 | − | 0.0318183i | ||||
\(153\) | 4.28975 | + | 12.0870i | 0.346806 | + | 0.977176i | ||||
\(154\) | −4.60333 | + | 0.616378i | −0.370947 | + | 0.0496691i | ||||
\(155\) | 14.2825 | − | 2.48011i | 1.14720 | − | 0.199207i | ||||
\(156\) | 7.93109 | + | 7.72072i | 0.634996 | + | 0.618152i | ||||
\(157\) | 13.5930 | − | 4.41663i | 1.08484 | − | 0.352486i | 0.288589 | − | 0.957453i | \(-0.406814\pi\) |
0.796250 | + | 0.604968i | \(0.206814\pi\) | |||||||
\(158\) | −0.0490124 | + | 0.150845i | −0.00389921 | + | 0.0120005i | ||||
\(159\) | 5.30929 | − | 10.7757i | 0.421054 | − | 0.854567i | ||||
\(160\) | −5.74375 | + | 11.6991i | −0.454084 | + | 0.924896i | ||||
\(161\) | −2.65135 | + | 8.16002i | −0.208956 | + | 0.643100i | ||||
\(162\) | 3.43951 | − | 5.31264i | 0.270233 | − | 0.417400i | ||||
\(163\) | −13.2562 | − | 18.2456i | −1.03831 | − | 1.42910i | −0.898525 | − | 0.438922i | \(-0.855360\pi\) |
−0.139780 | − | 0.990183i | \(-0.544640\pi\) | |||||||
\(164\) | −14.3774 | −1.12268 | ||||||||
\(165\) | −12.6956 | − | 1.95462i | −0.988355 | − | 0.152167i | ||||
\(166\) | −1.41409 | −0.109754 | ||||||||
\(167\) | 3.15252 | + | 4.33906i | 0.243949 | + | 0.335767i | 0.913381 | − | 0.407107i | \(-0.133462\pi\) |
−0.669432 | + | 0.742874i | \(0.733462\pi\) | |||||||
\(168\) | 3.96151 | + | 7.52321i | 0.305637 | + | 0.580428i | ||||
\(169\) | 1.55048 | − | 4.77189i | 0.119268 | − | 0.367069i | ||||
\(170\) | 6.03439 | + | 2.96262i | 0.462816 | + | 0.227223i | ||||
\(171\) | 0.230135 | − | 0.778925i | 0.0175989 | − | 0.0595659i | ||||
\(172\) | 0.785994 | − | 2.41904i | 0.0599315 | − | 0.184450i | ||||
\(173\) | −15.5063 | + | 5.03829i | −1.17892 | + | 0.383054i | −0.831965 | − | 0.554828i | \(-0.812784\pi\) |
−0.346954 | + | 0.937882i | \(0.612784\pi\) | |||||||
\(174\) | −6.22639 | + | 6.39604i | −0.472021 | + | 0.484883i | ||||
\(175\) | −9.37398 | + | 3.35673i | −0.708606 | + | 0.253745i | ||||
\(176\) | −2.92342 | − | 3.06706i | −0.220361 | − | 0.231188i | ||||
\(177\) | −18.0123 | + | 3.10157i | −1.35389 | + | 0.233128i | ||||
\(178\) | −9.02072 | + | 6.55394i | −0.676132 | + | 0.491239i | ||||
\(179\) | −0.255080 | + | 0.0828804i | −0.0190655 | + | 0.00619477i | −0.318534 | − | 0.947911i | \(-0.603191\pi\) |
0.299469 | + | 0.954106i | \(0.403191\pi\) | |||||||
\(180\) | 1.99464 | + | 9.90028i | 0.148672 | + | 0.737923i | ||||
\(181\) | −0.172984 | − | 0.125680i | −0.0128578 | − | 0.00934174i | 0.581338 | − | 0.813662i | \(-0.302529\pi\) |
−0.594196 | + | 0.804321i | \(0.702529\pi\) | |||||||
\(182\) | 3.49382 | − | 4.80883i | 0.258979 | − | 0.356454i | ||||
\(183\) | 2.39604 | − | 16.5660i | 0.177120 | − | 1.22459i | ||||
\(184\) | 10.1012 | − | 3.28206i | 0.744667 | − | 0.241957i | ||||
\(185\) | 9.56307 | + | 9.28313i | 0.703091 | + | 0.682510i | ||||
\(186\) | −7.78159 | + | 1.33993i | −0.570574 | + | 0.0982481i | ||||
\(187\) | −10.2637 | + | 9.78306i | −0.750559 | + | 0.715408i | ||||
\(188\) | 0.352433 | 0.0257038 | ||||||||
\(189\) | 9.40153 | + | 4.32221i | 0.683861 | + | 0.314394i | ||||
\(190\) | −0.198881 | − | 0.376399i | −0.0144283 | − | 0.0273068i | ||||
\(191\) | −3.78974 | − | 1.23136i | −0.274216 | − | 0.0890981i | 0.168681 | − | 0.985671i | \(-0.446049\pi\) |
−0.442897 | + | 0.896573i | \(0.646049\pi\) | |||||||
\(192\) | 1.18165 | − | 2.39826i | 0.0852781 | − | 0.173080i | ||||
\(193\) | 13.1028 | + | 9.51974i | 0.943160 | + | 0.685246i | 0.949179 | − | 0.314736i | \(-0.101916\pi\) |
−0.00601903 | + | 0.999982i | \(0.501916\pi\) | |||||||
\(194\) | −0.717520 | + | 2.20830i | −0.0515149 | + | 0.158547i | ||||
\(195\) | 13.0213 | − | 10.0353i | 0.932473 | − | 0.718646i | ||||
\(196\) | 3.69587 | − | 2.68521i | 0.263991 | − | 0.191800i | ||||
\(197\) | − | 5.69572i | − | 0.405803i | −0.979199 | − | 0.202902i | \(-0.934963\pi\) | ||
0.979199 | − | 0.202902i | \(-0.0650371\pi\) | |||||||
\(198\) | 6.91381 | + | 1.07445i | 0.491343 | + | 0.0763579i | ||||
\(199\) | 12.2362 | 0.867398 | 0.433699 | − | 0.901058i | \(-0.357208\pi\) | ||||
0.433699 | + | 0.901058i | \(0.357208\pi\) | |||||||
\(200\) | 10.1823 | + | 6.94536i | 0.719995 | + | 0.491111i | ||||
\(201\) | −0.727676 | − | 1.38191i | −0.0513263 | − | 0.0974724i | ||||
\(202\) | 1.14320 | + | 0.371449i | 0.0804354 | + | 0.0261350i | ||||
\(203\) | −11.8069 | − | 8.57819i | −0.828680 | − | 0.602071i | ||||
\(204\) | 10.0001 | + | 4.92718i | 0.700150 | + | 0.344971i | ||||
\(205\) | −3.02692 | + | 21.1386i | −0.211409 | + | 1.47638i | ||||
\(206\) | 1.28847 | + | 3.96551i | 0.0897722 | + | 0.276290i | ||||
\(207\) | 7.31373 | − | 10.6575i | 0.508339 | − | 0.740748i | ||||
\(208\) | 5.42278 | 0.376002 | ||||||||
\(209\) | 0.889990 | − | 0.119168i | 0.0615619 | − | 0.00824303i | ||||
\(210\) | 5.10859 | − | 1.82120i | 0.352526 | − | 0.125675i | ||||
\(211\) | −2.15988 | − | 2.97283i | −0.148693 | − | 0.204658i | 0.728173 | − | 0.685393i | \(-0.240370\pi\) |
−0.876866 | + | 0.480736i | \(0.840370\pi\) | |||||||
\(212\) | −3.22658 | − | 9.93039i | −0.221602 | − | 0.682022i | ||||
\(213\) | 0.130402 | − | 0.901591i | 0.00893502 | − | 0.0617760i | ||||
\(214\) | −1.80023 | − | 1.30795i | −0.123061 | − | 0.0894094i | ||||
\(215\) | −3.39116 | − | 1.66491i | −0.231275 | − | 0.113546i | ||||
\(216\) | −2.51209 | − | 12.5602i | −0.170926 | − | 0.854615i | ||||
\(217\) | −3.98938 | − | 12.2780i | −0.270817 | − | 0.833488i | ||||
\(218\) | −2.05009 | + | 1.48948i | −0.138850 | + | 0.100880i | ||||
\(219\) | −3.02812 | − | 17.5857i | −0.204621 | − | 1.18833i | ||||
\(220\) | −9.09224 | + | 6.48003i | −0.612999 | + | 0.436883i | ||||
\(221\) | − | 18.1470i | − | 1.22070i | ||||||
\(222\) | −5.20186 | − | 5.06388i | −0.349126 | − | 0.339865i | ||||
\(223\) | −15.0251 | + | 4.88195i | −1.00616 | + | 0.326920i | −0.765323 | − | 0.643647i | \(-0.777421\pi\) |
−0.240833 | + | 0.970567i | \(0.577421\pi\) | |||||||
\(224\) | 11.0387 | + | 3.58670i | 0.737557 | + | 0.239647i | ||||
\(225\) | 14.9760 | − | 0.848314i | 0.998400 | − | 0.0565542i | ||||
\(226\) | 3.17807 | − | 4.37424i | 0.211402 | − | 0.290970i | ||||
\(227\) | −1.32797 | − | 0.431484i | −0.0881405 | − | 0.0286386i | 0.264615 | − | 0.964354i | \(-0.414755\pi\) |
−0.352755 | + | 0.935716i | \(0.614755\pi\) | |||||||
\(228\) | −0.328931 | − | 0.624665i | −0.0217840 | − | 0.0413694i | ||||
\(229\) | 8.52126 | − | 6.19106i | 0.563101 | − | 0.409117i | −0.269492 | − | 0.963003i | \(-0.586856\pi\) |
0.832593 | + | 0.553886i | \(0.186856\pi\) | |||||||
\(230\) | −1.15908 | − | 6.67496i | −0.0764276 | − | 0.440134i | ||||
\(231\) | −0.120495 | + | 11.4389i | −0.00792796 | + | 0.752627i | ||||
\(232\) | 18.0658i | 1.18608i | ||||||||
\(233\) | 9.20055 | + | 12.6635i | 0.602748 | + | 0.829611i | 0.995956 | − | 0.0898380i | \(-0.0286349\pi\) |
−0.393208 | + | 0.919449i | \(0.628635\pi\) | |||||||
\(234\) | −7.10041 | + | 5.45624i | −0.464168 | + | 0.356685i | ||||
\(235\) | 0.0741990 | − | 0.518170i | 0.00484021 | − | 0.0338017i | ||||
\(236\) | −9.33799 | + | 12.8526i | −0.607852 | + | 0.836636i | ||||
\(237\) | 0.350435 | + | 0.172663i | 0.0227632 | + | 0.0112157i | ||||
\(238\) | 1.85002 | − | 5.69377i | 0.119919 | − | 0.369072i | ||||
\(239\) | 5.67665 | + | 17.4709i | 0.367192 | + | 1.13010i | 0.948597 | + | 0.316487i | \(0.102503\pi\) |
−0.581405 | + | 0.813614i | \(0.697497\pi\) | |||||||
\(240\) | 4.08360 | + | 2.79390i | 0.263595 | + | 0.180346i | ||||
\(241\) | − | 1.75403i | − | 0.112987i | −0.998403 | − | 0.0564935i | \(-0.982008\pi\) | ||
0.998403 | − | 0.0564935i | \(-0.0179920\pi\) | |||||||
\(242\) | 2.03499 | + | 7.46278i | 0.130814 | + | 0.479725i | ||||
\(243\) | −11.7380 | − | 10.2577i | −0.752992 | − | 0.658029i | ||||
\(244\) | −8.55170 | − | 11.7704i | −0.547467 | − | 0.753523i | ||||
\(245\) | −3.16986 | − | 5.99924i | −0.202515 | − | 0.383277i | ||||
\(246\) | 1.66503 | − | 11.5118i | 0.106158 | − | 0.733969i | ||||
\(247\) | −0.675481 | + | 0.929720i | −0.0429798 | + | 0.0591567i | ||||
\(248\) | −9.39337 | + | 12.9289i | −0.596480 | + | 0.820984i | ||||
\(249\) | −0.498580 | + | 3.44714i | −0.0315962 | + | 0.218454i | ||||
\(250\) | 5.30618 | − | 5.80143i | 0.335592 | − | 0.366915i | ||||
\(251\) | −6.58509 | − | 9.06359i | −0.415647 | − | 0.572089i | 0.548937 | − | 0.835863i | \(-0.315033\pi\) |
−0.964584 | + | 0.263775i | \(0.915033\pi\) | |||||||
\(252\) | 8.47606 | − | 3.00821i | 0.533942 | − | 0.189499i | ||||
\(253\) | 14.0563 | + | 2.57311i | 0.883712 | + | 0.161770i | ||||
\(254\) | − | 7.07508i | − | 0.443930i | ||||||
\(255\) | 9.34963 | − | 13.6655i | 0.585497 | − | 0.855770i | ||||
\(256\) | −3.25123 | − | 10.0063i | −0.203202 | − | 0.625391i | ||||
\(257\) | −1.92104 | + | 5.91235i | −0.119831 | + | 0.368802i | −0.992924 | − | 0.118752i | \(-0.962111\pi\) |
0.873093 | + | 0.487554i | \(0.162111\pi\) | |||||||
\(258\) | 1.84588 | + | 0.909485i | 0.114920 | + | 0.0566221i | ||||
\(259\) | 6.97659 | − | 9.60245i | 0.433504 | − | 0.596667i | ||||
\(260\) | 2.02549 | − | 14.1451i | 0.125616 | − | 0.877241i | ||||
\(261\) | 13.3964 | + | 17.4333i | 0.829217 | + | 1.07909i | ||||
\(262\) | 6.55072 | + | 9.01629i | 0.404705 | + | 0.557028i | ||||
\(263\) | − | 24.0702i | − | 1.48423i | −0.670272 | − | 0.742116i | \(-0.733822\pi\) | ||
0.670272 | − | 0.742116i | \(-0.266178\pi\) | |||||||
\(264\) | 11.5434 | − | 8.20241i | 0.710448 | − | 0.504823i | ||||
\(265\) | −15.2796 | + | 2.65325i | −0.938620 | + | 0.162988i | ||||
\(266\) | −0.306719 | + | 0.222844i | −0.0188061 | + | 0.0136634i | ||||
\(267\) | 12.7961 | + | 24.3007i | 0.783108 | + | 1.48718i | ||||
\(268\) | −1.29107 | − | 0.419494i | −0.0788647 | − | 0.0256247i | ||||
\(269\) | 14.8417 | − | 20.4278i | 0.904912 | − | 1.24550i | −0.0639625 | − | 0.997952i | \(-0.520374\pi\) |
0.968875 | − | 0.247552i | \(-0.0796262\pi\) | |||||||
\(270\) | −8.15807 | + | 0.450554i | −0.496485 | + | 0.0274199i | ||||
\(271\) | 21.3742 | + | 6.94489i | 1.29839 | + | 0.421872i | 0.875020 | − | 0.484086i | \(-0.160848\pi\) |
0.423368 | + | 0.905958i | \(0.360848\pi\) | |||||||
\(272\) | 5.19446 | − | 1.68778i | 0.314960 | − | 0.102337i | ||||
\(273\) | −10.4907 | − | 10.2124i | −0.634926 | − | 0.618084i | ||||
\(274\) | 8.91530i | 0.538593i | ||||||||
\(275\) | 7.61314 | + | 14.7323i | 0.459090 | + | 0.888390i | ||||
\(276\) | −1.90652 | − | 11.0721i | −0.114759 | − | 0.666461i | ||||
\(277\) | 7.91369 | − | 5.74963i | 0.475488 | − | 0.345462i | −0.324088 | − | 0.946027i | \(-0.605058\pi\) |
0.799576 | + | 0.600565i | \(0.205058\pi\) | |||||||
\(278\) | −3.31298 | − | 10.1963i | −0.198699 | − | 0.611533i | ||||
\(279\) | 0.522715 | + | 19.4417i | 0.0312941 | + | 1.16395i | ||||
\(280\) | 4.83749 | − | 9.85320i | 0.289096 | − | 0.588842i | ||||
\(281\) | −11.0817 | − | 8.05131i | −0.661078 | − | 0.480301i | 0.205949 | − | 0.978563i | \(-0.433972\pi\) |
−0.867027 | + | 0.498262i | \(0.833972\pi\) | |||||||
\(282\) | −0.0408148 | + | 0.282190i | −0.00243049 | + | 0.0168042i | ||||
\(283\) | 9.22512 | + | 28.3920i | 0.548376 | + | 1.68773i | 0.712824 | + | 0.701343i | \(0.247416\pi\) |
−0.164448 | + | 0.986386i | \(0.552584\pi\) | |||||||
\(284\) | −0.465420 | − | 0.640595i | −0.0276176 | − | 0.0380123i | ||||
\(285\) | −0.987674 | + | 0.352103i | −0.0585048 | + | 0.0208568i | ||||
\(286\) | −8.71049 | − | 4.70455i | −0.515062 | − | 0.278186i | ||||
\(287\) | 19.0174 | 1.12256 | ||||||||
\(288\) | −14.4173 | − | 9.89389i | −0.849548 | − | 0.583003i | ||||
\(289\) | −0.394774 | − | 1.21499i | −0.0232220 | − | 0.0714700i | ||||
\(290\) | 11.4073 | + | 1.63346i | 0.669861 | + | 0.0959202i | ||||
\(291\) | 5.13022 | + | 2.52771i | 0.300739 | + | 0.148177i | ||||
\(292\) | −12.5483 | − | 9.11684i | −0.734331 | − | 0.533523i | ||||
\(293\) | 23.2050 | + | 7.53977i | 1.35565 | + | 0.440478i | 0.894589 | − | 0.446889i | \(-0.147468\pi\) |
0.461063 | + | 0.887367i | \(0.347468\pi\) | |||||||
\(294\) | 1.72201 | + | 3.27022i | 0.100430 | + | 0.190723i | ||||
\(295\) | 16.9309 | + | 16.4353i | 0.985753 | + | 0.956897i | ||||
\(296\) | −14.6928 | −0.854001 | ||||||||
\(297\) | 5.05688 | − | 16.4751i | 0.293430 | − | 0.955981i | ||||
\(298\) | − | 6.13886i | − | 0.355615i | ||||||
\(299\) | −14.7957 | + | 10.7497i | −0.855660 | + | 0.621673i | ||||
\(300\) | 8.81306 | − | 9.60834i | 0.508822 | − | 0.554738i | ||||
\(301\) | −1.03966 | + | 3.19974i | −0.0599249 | + | 0.184430i | ||||
\(302\) | −10.7632 | − | 7.81992i | −0.619353 | − | 0.449986i | ||||
\(303\) | 1.30856 | − | 2.65583i | 0.0751746 | − | 0.152574i | ||||
\(304\) | −0.328949 | − | 0.106882i | −0.0188665 | − | 0.00613011i | ||||
\(305\) | −19.1061 | + | 10.0952i | −1.09401 | + | 0.578051i | ||||
\(306\) | −5.10326 | + | 7.43643i | −0.291734 | + | 0.425112i | ||||
\(307\) | −7.28242 | −0.415630 | −0.207815 | − | 0.978168i | \(-0.566635\pi\) | ||||
−0.207815 | + | 0.978168i | \(0.566635\pi\) | |||||||
\(308\) | 6.86041 | + | 7.19749i | 0.390908 | + | 0.410115i | ||||
\(309\) | 10.1211 | − | 1.74277i | 0.575768 | − | 0.0991425i | ||||
\(310\) | 7.31439 | + | 7.10028i | 0.415429 | + | 0.403269i | ||||
\(311\) | 2.25383 | − | 0.732315i | 0.127803 | − | 0.0415258i | −0.244417 | − | 0.969670i | \(-0.578597\pi\) |
0.372220 | + | 0.928144i | \(0.378597\pi\) | |||||||
\(312\) | −2.59430 | + | 17.9368i | −0.146873 | + | 1.01547i | ||||
\(313\) | −8.58863 | + | 11.8212i | −0.485458 | + | 0.668175i | −0.979542 | − | 0.201239i | \(-0.935503\pi\) |
0.494084 | + | 0.869414i | \(0.335503\pi\) | |||||||
\(314\) | 8.13109 | + | 5.90758i | 0.458864 | + | 0.333384i | ||||
\(315\) | −2.63837 | − | 13.0954i | −0.148655 | − | 0.737842i | ||||
\(316\) | 0.322945 | − | 0.104931i | 0.0181671 | − | 0.00590284i | ||||
\(317\) | −20.0536 | + | 14.5698i | −1.12632 | + | 0.818319i | −0.985155 | − | 0.171667i | \(-0.945085\pi\) |
−0.141165 | + | 0.989986i | \(0.545085\pi\) | |||||||
\(318\) | 8.32485 | − | 1.43347i | 0.466834 | − | 0.0803850i | ||||
\(319\) | −11.5508 | + | 21.3864i | −0.646723 | + | 1.19741i | ||||
\(320\) | −3.40067 | + | 0.590514i | −0.190103 | + | 0.0330107i | ||||
\(321\) | −3.82313 | + | 3.92730i | −0.213386 | + | 0.219200i | ||||
\(322\) | −5.73817 | + | 1.86444i | −0.319776 | + | 0.103901i | ||||
\(323\) | −0.357675 | + | 1.10081i | −0.0199016 | + | 0.0612507i | ||||
\(324\) | −13.5299 | + | 0.728065i | −0.751664 | + | 0.0404480i | ||||
\(325\) | −20.3706 | − | 5.95603i | −1.12996 | − | 0.330381i | ||||
\(326\) | 4.90077 | − | 15.0830i | 0.271429 | − | 0.835372i | ||||
\(327\) | 2.90810 | + | 5.52270i | 0.160818 | + | 0.305406i | ||||
\(328\) | −13.8372 | − | 19.0453i | −0.764033 | − | 1.05160i | ||||
\(329\) | −0.466174 | −0.0257010 | ||||||||
\(330\) | −4.13554 | − | 8.03053i | −0.227654 | − | 0.442066i | ||||
\(331\) | 10.2699 | 0.564483 | 0.282242 | − | 0.959343i | \(-0.408922\pi\) | ||||
0.282242 | + | 0.959343i | \(0.408922\pi\) | |||||||
\(332\) | 1.77948 | + | 2.44925i | 0.0976619 | + | 0.134420i | ||||
\(333\) | −14.1784 | + | 10.8952i | −0.776970 | + | 0.597054i | ||||
\(334\) | −1.16548 | + | 3.58696i | −0.0637720 | + | 0.196270i | ||||
\(335\) | −0.888582 | + | 1.80990i | −0.0485484 | + | 0.0988854i | ||||
\(336\) | 1.94754 | − | 3.95270i | 0.106247 | − | 0.215638i | ||||
\(337\) | −2.70961 | + | 8.33932i | −0.147602 | + | 0.454272i | −0.997336 | − | 0.0729391i | \(-0.976762\pi\) |
0.849735 | + | 0.527211i | \(0.176762\pi\) | |||||||
\(338\) | 3.35562 | − | 1.09031i | 0.182522 | − | 0.0593049i | ||||
\(339\) | −9.54262 | − | 9.28950i | −0.518284 | − | 0.504536i | ||||
\(340\) | −2.46229 | − | 14.1799i | −0.133537 | − | 0.769015i | ||||
\(341\) | −19.3864 | + | 9.29939i | −1.04983 | + | 0.503590i | ||||
\(342\) | 0.538257 | − | 0.191031i | 0.0291056 | − | 0.0103298i | ||||
\(343\) | −16.1660 | + | 11.7453i | −0.872883 | + | 0.634187i | ||||
\(344\) | 3.96090 | − | 1.28697i | 0.213558 | − | 0.0693890i | ||||
\(345\) | −16.6803 | + | 0.472049i | −0.898037 | + | 0.0254142i | ||||
\(346\) | −9.27557 | − | 6.73910i | −0.498658 | − | 0.362296i | ||||
\(347\) | −9.19468 | + | 12.6554i | −0.493596 | + | 0.679377i | −0.981046 | − | 0.193774i | \(-0.937927\pi\) |
0.487450 | + | 0.873151i | \(0.337927\pi\) | |||||||
\(348\) | 18.9134 | + | 2.73556i | 1.01387 | + | 0.146642i | ||||
\(349\) | −28.9739 | + | 9.41418i | −1.55094 | + | 0.503929i | −0.954368 | − | 0.298633i | \(-0.903469\pi\) |
−0.596567 | + | 0.802563i | \(0.703469\pi\) | |||||||
\(350\) | −5.78424 | − | 3.94546i | −0.309181 | − | 0.210893i | ||||
\(351\) | 10.7973 | + | 19.2325i | 0.576316 | + | 1.02656i | ||||
\(352\) | 3.48086 | − | 19.0151i | 0.185531 | − | 1.01351i | ||||
\(353\) | 18.4443 | 0.981692 | 0.490846 | − | 0.871246i | \(-0.336688\pi\) | ||||
0.490846 | + | 0.871246i | \(0.336688\pi\) | |||||||
\(354\) | −9.20959 | − | 8.96531i | −0.489484 | − | 0.476501i | ||||
\(355\) | −1.03983 | + | 0.549424i | −0.0551886 | + | 0.0291604i | ||||
\(356\) | 22.7033 | + | 7.37676i | 1.20327 | + | 0.390967i | ||||
\(357\) | −13.2275 | − | 6.51733i | −0.700073 | − | 0.344933i | ||||
\(358\) | −0.152584 | − | 0.110859i | −0.00806432 | − | 0.00585907i | ||||
\(359\) | 5.34445 | − | 16.4485i | 0.282069 | − | 0.868120i | −0.705192 | − | 0.709016i | \(-0.749139\pi\) |
0.987262 | − | 0.159104i | \(-0.0508606\pi\) | |||||||
\(360\) | −11.1949 | + | 12.1706i | −0.590025 | + | 0.641446i | ||||
\(361\) | −15.3120 | + | 11.1248i | −0.805896 | + | 0.585518i | ||||
\(362\) | − | 0.150359i | − | 0.00790271i | ||||||
\(363\) | 18.9096 | − | 2.32949i | 0.992497 | − | 0.122266i | ||||
\(364\) | −12.7257 | −0.667007 | ||||||||
\(365\) | −16.0460 | + | 16.5299i | −0.839887 | + | 0.865214i | ||||
\(366\) | 10.4148 | − | 5.48417i | 0.544392 | − | 0.286662i | ||||
\(367\) | −2.16652 | − | 0.703945i | −0.113091 | − | 0.0367456i | 0.251925 | − | 0.967747i | \(-0.418937\pi\) |
−0.365016 | + | 0.931001i | \(0.618937\pi\) | |||||||
\(368\) | −4.45313 | − | 3.23539i | −0.232135 | − | 0.168656i | ||||
\(369\) | −27.4755 | − | 8.11771i | −1.43032 | − | 0.422591i | ||||
\(370\) | −1.32848 | + | 9.27751i | −0.0690646 | + | 0.482315i | ||||
\(371\) | 4.26789 | + | 13.1352i | 0.221578 | + | 0.681947i | ||||
\(372\) | 12.1131 | + | 11.7918i | 0.628037 | + | 0.611378i | ||||
\(373\) | 29.7264 | 1.53917 | 0.769587 | − | 0.638542i | \(-0.220462\pi\) | ||||
0.769587 | + | 0.638542i | \(0.220462\pi\) | |||||||
\(374\) | −9.80798 | − | 1.79542i | −0.507159 | − | 0.0928392i | ||||
\(375\) | −12.2714 | − | 14.9804i | −0.633691 | − | 0.773586i | ||||
\(376\) | 0.339192 | + | 0.466858i | 0.0174925 | + | 0.0240764i | ||||
\(377\) | −9.61288 | − | 29.5854i | −0.495089 | − | 1.52373i | ||||
\(378\) | 1.42705 | + | 7.13509i | 0.0733993 | + | 0.366990i | ||||
\(379\) | 16.8851 | + | 12.2677i | 0.867328 | + | 0.630151i | 0.929869 | − | 0.367892i | \(-0.119920\pi\) |
−0.0625406 | + | 0.998042i | \(0.519920\pi\) | |||||||
\(380\) | −0.401665 | + | 0.818128i | −0.0206050 | + | 0.0419691i | ||||
\(381\) | −17.2470 | − | 2.49454i | −0.883591 | − | 0.127799i | ||||
\(382\) | −0.865899 | − | 2.66496i | −0.0443032 | − | 0.136351i | ||||
\(383\) | 6.84780 | − | 4.97522i | 0.349906 | − | 0.254222i | −0.398924 | − | 0.916984i | \(-0.630616\pi\) |
0.748830 | + | 0.662763i | \(0.230616\pi\) | |||||||
\(384\) | −18.0451 | + | 3.10721i | −0.920858 | + | 0.158564i | ||||
\(385\) | 12.0266 | − | 8.57132i | 0.612931 | − | 0.436835i | ||||
\(386\) | 11.3891i | 0.579689i | ||||||||
\(387\) | 2.86789 | − | 4.17906i | 0.145783 | − | 0.212434i | ||||
\(388\) | 4.72778 | − | 1.53615i | 0.240017 | − | 0.0779861i | ||||
\(389\) | 25.0694 | + | 8.14555i | 1.27107 | + | 0.412996i | 0.865427 | − | 0.501036i | \(-0.167048\pi\) |
0.405643 | + | 0.914031i | \(0.367048\pi\) | |||||||
\(390\) | 11.0913 | + | 3.25992i | 0.561630 | + | 0.165073i | ||||
\(391\) | −10.8270 | + | 14.9021i | −0.547547 | + | 0.753633i | ||||
\(392\) | 7.11404 | + | 2.31149i | 0.359313 | + | 0.116748i | ||||
\(393\) | 24.2888 | − | 12.7898i | 1.22521 | − | 0.645160i | ||||
\(394\) | 3.24032 | − | 2.35423i | 0.163245 | − | 0.118605i | ||||
\(395\) | −0.0862861 | − | 0.496907i | −0.00434153 | − | 0.0250021i | ||||
\(396\) | −6.83934 | − | 13.3271i | −0.343690 | − | 0.669710i | ||||
\(397\) | − | 19.7388i | − | 0.990662i | −0.868704 | − | 0.495331i | \(-0.835047\pi\) | ||
0.868704 | − | 0.495331i | \(-0.164953\pi\) | |||||||
\(398\) | 5.05761 | + | 6.96121i | 0.253515 | + | 0.348934i | ||||
\(399\) | 0.435087 | + | 0.826263i | 0.0217816 | + | 0.0413649i | ||||
\(400\) | −0.189717 | − | 6.38489i | −0.00948585 | − | 0.319245i | ||||
\(401\) | 20.7738 | − | 28.5926i | 1.03739 | − | 1.42785i | 0.138143 | − | 0.990412i | \(-0.455887\pi\) |
0.899249 | − | 0.437436i | \(-0.144113\pi\) | |||||||
\(402\) | 0.485403 | − | 0.985168i | 0.0242097 | − | 0.0491357i | ||||
\(403\) | 8.50354 | − | 26.1712i | 0.423591 | − | 1.30368i | ||||
\(404\) | −0.795240 | − | 2.44750i | −0.0395647 | − | 0.121768i | ||||
\(405\) | −1.77806 | + | 20.0459i | −0.0883524 | + | 0.996089i | ||||
\(406\) | − | 10.2626i | − | 0.509326i | ||||||
\(407\) | −17.3934 | − | 9.39423i | −0.862161 | − | 0.465655i | ||||
\(408\) | 3.09755 | + | 17.9890i | 0.153352 | + | 0.890588i | ||||
\(409\) | 3.86369 | + | 5.31791i | 0.191047 | + | 0.262954i | 0.893786 | − | 0.448495i | \(-0.148040\pi\) |
−0.702739 | + | 0.711448i | \(0.748040\pi\) | |||||||
\(410\) | −13.2770 | + | 7.01525i | −0.655703 | + | 0.346459i | ||||
\(411\) | 21.7329 | + | 3.14336i | 1.07201 | + | 0.155051i | ||||
\(412\) | 5.24700 | − | 7.22188i | 0.258501 | − | 0.355796i | ||||
\(413\) | 12.3516 | − | 17.0006i | 0.607785 | − | 0.836544i | ||||
\(414\) | 9.08612 | − | 0.244292i | 0.446559 | − | 0.0120063i | ||||
\(415\) | 3.97569 | − | 2.10067i | 0.195159 | − | 0.103118i | ||||
\(416\) | 14.5421 | + | 20.0154i | 0.712983 | + | 0.981337i | ||||
\(417\) | −26.0238 | + | 4.48107i | −1.27439 | + | 0.219439i | ||||
\(418\) | 0.435658 | + | 0.457064i | 0.0213087 | + | 0.0223557i | ||||
\(419\) | 1.69814i | 0.0829594i | 0.999139 | + | 0.0414797i | \(0.0132072\pi\) | ||||
−0.999139 | + | 0.0414797i | \(0.986793\pi\) | |||||||
\(420\) | −9.58302 | − | 6.55647i | −0.467604 | − | 0.319923i | ||||
\(421\) | 5.97401 | + | 18.3861i | 0.291155 | + | 0.896084i | 0.984486 | + | 0.175464i | \(0.0561427\pi\) |
−0.693330 | + | 0.720620i | \(0.743857\pi\) | |||||||
\(422\) | 0.798503 | − | 2.45754i | 0.0388705 | − | 0.119631i | ||||
\(423\) | 0.673509 | + | 0.198990i | 0.0327471 | + | 0.00967521i | ||||
\(424\) | 10.0492 | − | 13.8315i | 0.488030 | − | 0.671716i | ||||
\(425\) | −21.3667 | + | 0.634877i | −1.03644 | + | 0.0307960i | ||||
\(426\) | 0.566819 | − | 0.298471i | 0.0274625 | − | 0.0144610i | ||||
\(427\) | 11.3116 | + | 15.5691i | 0.547407 | + | 0.753440i | ||||
\(428\) | 4.76399i | 0.230276i | ||||||||
\(429\) | −14.5395 | + | 19.5750i | −0.701974 | + | 0.945088i | ||||
\(430\) | −0.454504 | − | 2.61741i | −0.0219181 | − | 0.126223i | ||||
\(431\) | −14.8290 | + | 10.7739i | −0.714287 | + | 0.518960i | −0.884554 | − | 0.466438i | \(-0.845537\pi\) |
0.170267 | + | 0.985398i | \(0.445537\pi\) | |||||||
\(432\) | −4.50097 | + | 4.87938i | −0.216553 | + | 0.234759i | ||||
\(433\) | −6.21706 | − | 2.02005i | −0.298773 | − | 0.0970772i | 0.155795 | − | 0.987789i | \(-0.450206\pi\) |
−0.454568 | + | 0.890712i | \(0.650206\pi\) | |||||||
\(434\) | 5.33610 | − | 7.34451i | 0.256141 | − | 0.352548i | ||||
\(435\) | 8.00392 | − | 27.2319i | 0.383759 | − | 1.30567i | ||||
\(436\) | 5.15967 | + | 1.67648i | 0.247103 | + | 0.0802887i | ||||
\(437\) | 1.10939 | − | 0.360464i | 0.0530695 | − | 0.0172433i | ||||
\(438\) | 8.75298 | − | 8.99148i | 0.418234 | − | 0.429630i | ||||
\(439\) | 6.71248i | 0.320369i | 0.987087 | + | 0.160185i | \(0.0512090\pi\) | ||||
−0.987087 | + | 0.160185i | \(0.948791\pi\) | |||||||
\(440\) | −17.3346 | − | 5.80766i | −0.826393 | − | 0.276870i | ||||
\(441\) | 8.57902 | − | 3.04475i | 0.408525 | − | 0.144988i | ||||
\(442\) | 10.3239 | − | 7.50078i | 0.491059 | − | 0.356776i | ||||
\(443\) | 4.76834 | + | 14.6754i | 0.226551 | + | 0.697252i | 0.998130 | + | 0.0611190i | \(0.0194669\pi\) |
−0.771580 | + | 0.636133i | \(0.780533\pi\) | |||||||
\(444\) | −2.22482 | + | 15.3822i | −0.105585 | + | 0.730006i | ||||
\(445\) | 15.6256 | − | 31.8269i | 0.740725 | − | 1.50874i | ||||
\(446\) | −8.98775 | − | 6.52999i | −0.425582 | − | 0.309204i | ||||
\(447\) | −14.9648 | − | 2.16444i | −0.707810 | − | 0.102375i | ||||
\(448\) | 0.949872 | + | 2.92341i | 0.0448772 | + | 0.138118i | ||||
\(449\) | 4.40619 | + | 6.06460i | 0.207941 | + | 0.286206i | 0.900231 | − | 0.435414i | \(-0.143398\pi\) |
−0.692289 | + | 0.721620i | \(0.743398\pi\) | |||||||
\(450\) | 6.67269 | + | 8.16928i | 0.314554 | + | 0.385104i | ||||
\(451\) | −4.20349 | − | 31.3932i | −0.197935 | − | 1.47825i | ||||
\(452\) | −11.5756 | −0.544471 | ||||||||
\(453\) | −22.8576 | + | 23.4804i | −1.07395 | + | 1.10321i | ||||
\(454\) | −0.303422 | − | 0.933836i | −0.0142403 | − | 0.0438271i | ||||
\(455\) | −2.67918 | + | 18.7101i | −0.125602 | + | 0.877145i | ||||
\(456\) | 0.510903 | − | 1.03692i | 0.0239252 | − | 0.0485583i | ||||
\(457\) | 29.4978 | + | 21.4314i | 1.37985 | + | 1.00252i | 0.996894 | + | 0.0787515i | \(0.0250934\pi\) |
0.382954 | + | 0.923767i | \(0.374907\pi\) | |||||||
\(458\) | 7.04425 | + | 2.28882i | 0.329156 | + | 0.106949i | ||||
\(459\) | 16.3286 | + | 15.0622i | 0.762153 | + | 0.703044i | ||||
\(460\) | −10.1027 | + | 10.4073i | −0.471040 | + | 0.485244i | ||||
\(461\) | −9.37436 | −0.436607 | −0.218304 | − | 0.975881i | \(-0.570052\pi\) | ||||
−0.218304 | + | 0.975881i | \(0.570052\pi\) | |||||||
\(462\) | −6.55747 | + | 4.65955i | −0.305081 | + | 0.216782i | ||||
\(463\) | 0.0632711i | 0.00294046i | 0.999999 | + | 0.00147023i | \(0.000467989\pi\) | ||||
−0.999999 | + | 0.00147023i | \(0.999532\pi\) | |||||||
\(464\) | 7.57456 | − | 5.50324i | 0.351640 | − | 0.255481i | ||||
\(465\) | 19.8874 | − | 15.3270i | 0.922254 | − | 0.710771i | ||||
\(466\) | −3.40141 | + | 10.4685i | −0.157567 | + | 0.484943i | ||||
\(467\) | 22.5665 | + | 16.3955i | 1.04425 | + | 0.758694i | 0.971111 | − | 0.238627i | \(-0.0766974\pi\) |
0.0731419 | + | 0.997322i | \(0.476697\pi\) | |||||||
\(468\) | 18.3855 | + | 5.43205i | 0.849872 | + | 0.251097i | ||||
\(469\) | 1.70774 | + | 0.554877i | 0.0788560 | + | 0.0256219i | ||||
\(470\) | 0.325459 | − | 0.171965i | 0.0150123 | − | 0.00793216i | ||||
\(471\) | 17.2679 | − | 17.7384i | 0.795661 | − | 0.817341i | ||||
\(472\) | −26.0127 | −1.19733 | ||||||||
\(473\) | 5.51181 | + | 1.00898i | 0.253433 | + | 0.0463929i | ||||
\(474\) | 0.0466177 | + | 0.270732i | 0.00214122 | + | 0.0124351i | ||||
\(475\) | 1.11830 | + | 0.762799i | 0.0513113 | + | 0.0349996i | ||||
\(476\) | −12.1899 | + | 3.96073i | −0.558722 | + | 0.181540i | ||||
\(477\) | −0.559207 | − | 20.7990i | −0.0256043 | − | 0.952322i | ||||
\(478\) | −7.59295 | + | 10.4508i | −0.347294 | + | 0.478009i | ||||
\(479\) | −7.89453 | − | 5.73571i | −0.360710 | − | 0.262071i | 0.392638 | − | 0.919693i | \(-0.371563\pi\) |
−0.753348 | + | 0.657622i | \(0.771563\pi\) | |||||||
\(480\) | 0.638580 | + | 22.5648i | 0.0291470 | + | 1.02994i | ||||
\(481\) | 24.0616 | − | 7.81809i | 1.09712 | − | 0.356474i | ||||
\(482\) | 0.997876 | − | 0.724999i | 0.0454520 | − | 0.0330228i | ||||
\(483\) | 2.52181 | + | 14.6454i | 0.114746 | + | 0.666388i | ||||
\(484\) | 10.3650 | − | 12.9158i | 0.471135 | − | 0.587083i | ||||
\(485\) | −1.26319 | − | 7.27451i | −0.0573586 | − | 0.330318i | ||||
\(486\) | 0.983931 | − | 10.9176i | 0.0446320 | − | 0.495234i | ||||
\(487\) | 11.8791 | − | 3.85975i | 0.538293 | − | 0.174902i | −0.0272380 | − | 0.999629i | \(-0.508671\pi\) |
0.565531 | + | 0.824727i | \(0.308671\pi\) | |||||||
\(488\) | 7.36152 | − | 22.6564i | 0.333240 | − | 1.02561i | ||||
\(489\) | −35.0402 | − | 17.2647i | −1.58457 | − | 0.780735i | ||||
\(490\) | 2.10279 | − | 4.28304i | 0.0949942 | − | 0.193488i | ||||
\(491\) | 6.27879 | − | 19.3241i | 0.283358 | − | 0.872086i | −0.703528 | − | 0.710667i | \(-0.748393\pi\) |
0.986886 | − | 0.161419i | \(-0.0516069\pi\) | |||||||
\(492\) | −22.0342 | + | 11.6026i | −0.993378 | + | 0.523086i | ||||
\(493\) | −18.4163 | − | 25.3478i | −0.829427 | − | 1.14161i | ||||
\(494\) | −0.808121 | −0.0363591 | ||||||||
\(495\) | −21.0342 | + | 7.24986i | −0.945419 | + | 0.325857i | ||||
\(496\) | 8.28220 | 0.371882 | ||||||||
\(497\) | 0.615625 | + | 0.847335i | 0.0276145 | + | 0.0380082i | ||||
\(498\) | −2.16717 | + | 1.14117i | −0.0971134 | + | 0.0511372i | ||||
\(499\) | 12.5106 | − | 38.5036i | 0.560050 | − | 1.72366i | −0.122170 | − | 0.992509i | \(-0.538985\pi\) |
0.682220 | − | 0.731147i | \(-0.261015\pi\) | |||||||
\(500\) | −16.7256 | − | 1.88999i | −0.747991 | − | 0.0845229i | ||||
\(501\) | 8.33307 | + | 4.10579i | 0.372294 | + | 0.183433i | ||||
\(502\) | 2.43449 | − | 7.49258i | 0.108656 | − | 0.334410i | ||||
\(503\) | −18.9478 | + | 6.15652i | −0.844841 | + | 0.274505i | −0.699284 | − | 0.714844i | \(-0.746498\pi\) |
−0.145557 | + | 0.989350i | \(0.546498\pi\) | |||||||
\(504\) | 12.1425 | + | 8.33282i | 0.540871 | + | 0.371173i | ||||
\(505\) | −3.76590 | + | 0.653935i | −0.167580 | + | 0.0290997i | ||||
\(506\) | 4.34609 | + | 9.06026i | 0.193207 | + | 0.402777i | ||||
\(507\) | −1.47473 | − | 8.56446i | −0.0654950 | − | 0.380361i | ||||
\(508\) | −12.2543 | + | 8.90326i | −0.543696 | + | 0.395018i | ||||
\(509\) | 24.3487 | − | 7.91139i | 1.07924 | − | 0.350666i | 0.285160 | − | 0.958480i | \(-0.407953\pi\) |
0.794079 | + | 0.607814i | \(0.207953\pi\) | |||||||
\(510\) | 11.6389 | − | 0.329379i | 0.515380 | − | 0.0145851i | ||||
\(511\) | 16.5980 | + | 12.0591i | 0.734251 | + | 0.533464i | ||||
\(512\) | −8.07895 | + | 11.1197i | −0.357042 | + | 0.491427i | ||||
\(513\) | −0.275899 | − | 1.37947i | −0.0121813 | − | 0.0609051i | ||||
\(514\) | −4.15760 | + | 1.35088i | −0.183384 | + | 0.0595850i | ||||
\(515\) | −9.51341 | − | 9.23494i | −0.419211 | − | 0.406940i | ||||
\(516\) | −0.747592 | − | 4.34163i | −0.0329109 | − | 0.191130i | ||||
\(517\) | 0.103040 | + | 0.769543i | 0.00453171 | + | 0.0338445i | ||||
\(518\) | 8.34654 | 0.366726 | ||||||||
\(519\) | −19.6984 | + | 20.2351i | −0.864663 | + | 0.888223i | ||||
\(520\) | 20.6870 | − | 10.9306i | 0.907186 | − | 0.479337i | ||||
\(521\) | 2.77739 | + | 0.902428i | 0.121680 | + | 0.0395361i | 0.369224 | − | 0.929341i | \(-0.379624\pi\) |
−0.247544 | + | 0.968877i | \(0.579624\pi\) | |||||||
\(522\) | −4.38069 | + | 14.8270i | −0.191737 | + | 0.648962i | ||||
\(523\) | 18.1007 | + | 13.1509i | 0.791488 | + | 0.575050i | 0.908405 | − | 0.418092i | \(-0.137301\pi\) |
−0.116917 | + | 0.993142i | \(0.537301\pi\) | |||||||
\(524\) | 7.37313 | − | 22.6922i | 0.322097 | − | 0.991312i | ||||
\(525\) | −11.6573 | + | 12.7092i | −0.508766 | + | 0.554677i | ||||
\(526\) | 13.6937 | − | 9.94902i | 0.597072 | − | 0.433798i | ||||
\(527\) | − | 27.7159i | − | 1.20732i | ||||||
\(528\) | −6.95545 | − | 2.34124i | −0.302697 | − | 0.101890i | ||||
\(529\) | −4.43631 | −0.192883 | ||||||||
\(530\) | −7.82503 | − | 7.59598i | −0.339898 | − | 0.329948i | ||||
\(531\) | −25.1020 | + | 19.2894i | −1.08933 | + | 0.837087i | ||||
\(532\) | 0.771948 | + | 0.250821i | 0.0334682 | + | 0.0108745i | ||||
\(533\) | 32.7946 | + | 23.8267i | 1.42049 | + | 1.03205i | ||||
\(534\) | −8.53575 | + | 17.3241i | −0.369378 | + | 0.749686i | ||||
\(535\) | 7.00433 | + | 1.00298i | 0.302824 | + | 0.0433626i | ||||
\(536\) | −0.686874 | − | 2.11398i | −0.0296684 | − | 0.0913100i | ||||
\(537\) | −0.324040 | + | 0.332870i | −0.0139834 | + | 0.0143644i | ||||
\(538\) | 17.7560 | 0.765517 | ||||||||
\(539\) | 6.94374 | + | 7.28492i | 0.299088 | + | 0.313784i | ||||
\(540\) | 11.0465 | + | 13.5631i | 0.475365 | + | 0.583663i | ||||
\(541\) | −11.8895 | − | 16.3644i | −0.511168 | − | 0.703562i | 0.472948 | − | 0.881090i | \(-0.343190\pi\) |
−0.984116 | + | 0.177528i | \(0.943190\pi\) | |||||||
\(542\) | 4.88368 | + | 15.0304i | 0.209772 | + | 0.645612i | ||||
\(543\) | −0.366533 | − | 0.0530138i | −0.0157294 | − | 0.00227504i | ||||
\(544\) | 20.1594 | + | 14.6466i | 0.864325 | + | 0.627969i | ||||
\(545\) | 3.55115 | − | 7.23313i | 0.152115 | − | 0.309833i | ||||
\(546\) | 1.47375 | − | 10.1894i | 0.0630705 | − | 0.436064i | ||||
\(547\) | −6.37562 | − | 19.6221i | −0.272602 | − | 0.838982i | −0.989844 | − | 0.142158i | \(-0.954596\pi\) |
0.717242 | − | 0.696824i | \(-0.245404\pi\) | |||||||
\(548\) | 15.4416 | − | 11.2190i | 0.659633 | − | 0.479251i | ||||
\(549\) | −9.69675 | − | 27.3220i | −0.413847 | − | 1.16607i | ||||
\(550\) | −5.23450 | + | 10.4205i | −0.223200 | + | 0.444332i | ||||
\(551\) | 1.98414i | 0.0845271i | ||||||||
\(552\) | 12.8320 | − | 13.1816i | 0.546166 | − | 0.561048i | ||||
\(553\) | −0.427169 | + | 0.138796i | −0.0181651 | + | 0.00590220i | ||||
\(554\) | 6.54199 | + | 2.12562i | 0.277943 | + | 0.0903090i | ||||
\(555\) | 22.1475 | + | 6.50954i | 0.940110 | + | 0.276314i | ||||
\(556\) | −13.4913 | + | 18.5692i | −0.572159 | + | 0.787510i | ||||
\(557\) | −9.96646 | − | 3.23830i | −0.422292 | − | 0.137211i | 0.0901589 | − | 0.995927i | \(-0.471263\pi\) |
−0.512451 | + | 0.858716i | \(0.671263\pi\) | |||||||
\(558\) | −10.8444 | + | 8.33329i | −0.459082 | + | 0.352776i | ||||
\(559\) | −5.80176 | + | 4.21523i | −0.245388 | + | 0.178285i | ||||
\(560\) | −5.60482 | + | 0.973257i | −0.236847 | + | 0.0411276i | ||||
\(561\) | −7.83484 | + | 23.2760i | −0.330787 | + | 0.982715i | ||||
\(562\) | − | 9.63230i | − | 0.406314i | ||||||
\(563\) | −21.2655 | − | 29.2694i | −0.896232 | − | 1.23356i | −0.971654 | − | 0.236406i | \(-0.924031\pi\) |
0.0754225 | − | 0.997152i | \(-0.475969\pi\) | |||||||
\(564\) | 0.540125 | − | 0.284415i | 0.0227434 | − | 0.0119760i | ||||
\(565\) | −2.43706 | + | 17.0192i | −0.102528 | + | 0.716005i | ||||
\(566\) | −12.3393 | + | 16.9836i | −0.518659 | + | 0.713873i | ||||
\(567\) | 17.8965 | − | 0.963033i | 0.751581 | − | 0.0404436i | ||||
\(568\) | 0.400645 | − | 1.23306i | 0.0168107 | − | 0.0517379i | ||||
\(569\) | 0.102235 | + | 0.314646i | 0.00428590 | + | 0.0131907i | 0.953177 | − | 0.302414i | \(-0.0977926\pi\) |
−0.948891 | + | 0.315605i | \(0.897793\pi\) | |||||||
\(570\) | −0.608553 | − | 0.416357i | −0.0254895 | − | 0.0174393i | ||||
\(571\) | − | 23.8700i | − | 0.998927i | −0.866335 | − | 0.499463i | \(-0.833531\pi\) | ||
0.866335 | − | 0.499463i | \(-0.166469\pi\) | |||||||
\(572\) | 2.81281 | + | 21.0071i | 0.117610 | + | 0.878351i | ||||
\(573\) | −6.80172 | + | 1.17120i | −0.284146 | + | 0.0489275i | ||||
\(574\) | 7.86052 | + | 10.8191i | 0.328092 | + | 0.451580i | ||||
\(575\) | 13.1746 | + | 17.0447i | 0.549418 | + | 0.710814i | ||||
\(576\) | −0.124458 | − | 4.62908i | −0.00518577 | − | 0.192878i | ||||
\(577\) | −10.2076 | + | 14.0496i | −0.424950 | + | 0.584893i | −0.966785 | − | 0.255592i | \(-0.917730\pi\) |
0.541835 | + | 0.840485i | \(0.317730\pi\) | |||||||
\(578\) | 0.528040 | − | 0.726785i | 0.0219636 | − | 0.0302303i | ||||
\(579\) | 27.7633 | + | 4.01557i | 1.15380 | + | 0.166881i | ||||
\(580\) | −11.5257 | − | 21.8135i | −0.478580 | − | 0.905754i | ||||
\(581\) | −2.35378 | − | 3.23970i | −0.0976511 | − | 0.134405i | ||||
\(582\) | 0.682464 | + | 3.96339i | 0.0282890 | + | 0.164288i | ||||
\(583\) | 20.7398 | − | 9.94862i | 0.858955 | − | 0.412030i | ||||
\(584\) | − | 25.3967i | − | 1.05092i | ||||||
\(585\) | 11.8573 | − | 25.8880i | 0.490241 | − | 1.07034i | ||||
\(586\) | 5.30201 | + | 16.3179i | 0.219024 | + | 0.674086i | ||||
\(587\) | −4.29831 | + | 13.2288i | −0.177410 | + | 0.546012i | −0.999735 | − | 0.0230056i | \(-0.992676\pi\) |
0.822325 | + | 0.569018i | \(0.192676\pi\) | |||||||
\(588\) | 3.49717 | − | 7.09782i | 0.144221 | − | 0.292709i | ||||
\(589\) | −1.03166 | + | 1.41996i | −0.0425088 | + | 0.0585084i | ||||
\(590\) | −2.35201 | + | 16.4253i | −0.0968305 | + | 0.676219i | ||||
\(591\) | −4.59647 | − | 8.72904i | −0.189073 | − | 0.359065i | ||||
\(592\) | 4.47575 | + | 6.16034i | 0.183952 | + | 0.253188i | ||||
\(593\) | 21.9317i | 0.900628i | 0.892870 | + | 0.450314i | \(0.148688\pi\) | ||||
−0.892870 | + | 0.450314i | \(0.851312\pi\) | |||||||
\(594\) | 11.4629 | − | 3.93282i | 0.470330 | − | 0.161365i | ||||
\(595\) | 3.25695 | + | 18.7562i | 0.133522 | + | 0.768930i | ||||
\(596\) | −10.6327 | + | 7.72513i | −0.435534 | + | 0.316434i | ||||
\(597\) | 18.7527 | − | 9.87463i | 0.767495 | − | 0.404142i | ||||
\(598\) | −12.2312 | − | 3.97414i | −0.500169 | − | 0.162515i | ||||
\(599\) | −9.26009 | + | 12.7454i | −0.378357 | + | 0.520764i | −0.955148 | − | 0.296128i | \(-0.904305\pi\) |
0.576791 | + | 0.816892i | \(0.304305\pi\) | |||||||
\(600\) | 21.2099 | + | 2.42706i | 0.865889 | + | 0.0990843i | ||||
\(601\) | −32.7170 | − | 10.6304i | −1.33455 | − | 0.433623i | −0.447086 | − | 0.894491i | \(-0.647538\pi\) |
−0.887469 | + | 0.460868i | \(0.847538\pi\) | |||||||
\(602\) | −2.25007 | + | 0.731093i | −0.0917061 | + | 0.0297971i | ||||
\(603\) | −2.23042 | − | 1.53062i | −0.0908295 | − | 0.0623319i | ||||
\(604\) | 28.4828i | 1.15895i | ||||||||
\(605\) | −16.8075 | − | 17.9585i | −0.683323 | − | 0.730116i | ||||
\(606\) | 2.05179 | − | 0.353301i | 0.0833482 | − | 0.0143519i | ||||
\(607\) | −10.7163 | + | 7.78585i | −0.434962 | + | 0.316018i | −0.783630 | − | 0.621228i | \(-0.786634\pi\) |
0.348668 | + | 0.937246i | \(0.386634\pi\) | |||||||
\(608\) | −0.487630 | − | 1.50077i | −0.0197760 | − | 0.0608643i | ||||
\(609\) | −25.0174 | − | 3.61841i | −1.01376 | − | 0.146625i | ||||
\(610\) | −13.6404 | − | 6.69684i | −0.552284 | − | 0.271147i | ||||
\(611\) | −0.803895 | − | 0.584064i | −0.0325221 | − | 0.0236287i | ||||
\(612\) | 19.3021 | − | 0.518960i | 0.780241 | − | 0.0209777i | ||||
\(613\) | 1.14046 | + | 3.50996i | 0.0460626 | + | 0.141766i | 0.971443 | − | 0.237275i | \(-0.0762541\pi\) |
−0.925380 | + | 0.379041i | \(0.876254\pi\) | |||||||
\(614\) | −3.01007 | − | 4.14301i | −0.121477 | − | 0.167198i | ||||
\(615\) | 12.4200 | + | 34.8389i | 0.500822 | + | 1.40484i | ||||
\(616\) | −2.93165 | + | 16.0149i | −0.118119 | + | 0.645258i | ||||
\(617\) | 4.13390 | 0.166425 | 0.0832123 | − | 0.996532i | \(-0.473482\pi\) | ||||
0.0832123 | + | 0.996532i | \(0.473482\pi\) | |||||||
\(618\) | 5.17485 | + | 5.03759i | 0.208163 | + | 0.202642i | ||||
\(619\) | −9.56349 | − | 29.4334i | −0.384389 | − | 1.18303i | −0.936922 | − | 0.349537i | \(-0.886339\pi\) |
0.552533 | − | 0.833491i | \(-0.313661\pi\) | |||||||
\(620\) | 3.09353 | − | 21.6038i | 0.124239 | − | 0.867628i | ||||
\(621\) | 2.60808 | − | 22.2355i | 0.104659 | − | 0.892280i | ||||
\(622\) | 1.34820 | + | 0.979527i | 0.0540580 | + | 0.0392755i | ||||
\(623\) | −30.0304 | − | 9.75746i | −1.20314 | − | 0.390924i | ||||
\(624\) | 8.31074 | − | 4.37621i | 0.332696 | − | 0.175188i | ||||
\(625\) | −6.30009 | + | 24.1932i | −0.252003 | + | 0.967726i | ||||
\(626\) | −10.2751 | −0.410677 | ||||||||
\(627\) | 1.26780 | − | 0.900858i | 0.0506309 | − | 0.0359768i | ||||
\(628\) | − | 21.5174i | − | 0.858639i | ||||||
\(629\) | 20.6152 | − | 14.9778i | 0.821983 | − | 0.597205i | ||||
\(630\) | 6.35951 | − | 6.91375i | 0.253369 | − | 0.275451i | ||||
\(631\) | −6.88264 | + | 21.1826i | −0.273993 | + | 0.843265i | 0.715491 | + | 0.698622i | \(0.246203\pi\) |
−0.989484 | + | 0.144643i | \(0.953797\pi\) | |||||||
\(632\) | 0.449812 | + | 0.326808i | 0.0178926 | + | 0.0129997i | ||||
\(633\) | −5.70924 | − | 2.81300i | −0.226922 | − | 0.111807i | ||||
\(634\) | −16.5776 | − | 5.38640i | −0.658382 | − | 0.213921i | ||||
\(635\) | 10.5102 | + | 19.8915i | 0.417086 | + | 0.789370i | ||||
\(636\) | −12.9588 | − | 12.6151i | −0.513850 | − | 0.500220i | ||||
\(637\) | −12.8803 | −0.510334 | ||||||||
\(638\) | −16.9412 | + | 2.26839i | −0.670708 | + | 0.0898066i | ||||
\(639\) | −0.527738 | − | 1.48698i | −0.0208770 | − | 0.0588240i | ||||
\(640\) | 16.9616 | + | 16.4651i | 0.670468 | + | 0.650842i | ||||
\(641\) | −24.8632 | + | 8.07855i | −0.982038 | + | 0.319083i | −0.755666 | − | 0.654957i | \(-0.772687\pi\) |
−0.226372 | + | 0.974041i | \(0.572687\pi\) | |||||||
\(642\) | −3.81449 | − | 0.551712i | −0.150546 | − | 0.0217743i | ||||
\(643\) | −12.0799 | + | 16.6265i | −0.476385 | + | 0.655687i | −0.977805 | − | 0.209517i | \(-0.932811\pi\) |
0.501421 | + | 0.865204i | \(0.332811\pi\) | |||||||
\(644\) | 10.4502 | + | 7.59250i | 0.411795 | + | 0.299187i | ||||
\(645\) | −6.54074 | + | 0.185102i | −0.257542 | + | 0.00728836i | ||||
\(646\) | −0.774096 | + | 0.251519i | −0.0304564 | + | 0.00989588i | ||||
\(647\) | 17.6799 | − | 12.8452i | 0.695070 | − | 0.504998i | −0.183253 | − | 0.983066i | \(-0.558663\pi\) |
0.878323 | + | 0.478068i | \(0.158663\pi\) | |||||||
\(648\) | −13.9861 | − | 17.2220i | −0.549425 | − | 0.676546i | ||||
\(649\) | −30.7941 | − | 16.6319i | −1.20877 | − | 0.652861i | ||||
\(650\) | −5.03145 | − | 14.0508i | −0.197350 | − | 0.551117i | ||||
\(651\) | −16.0224 | − | 15.5974i | −0.627968 | − | 0.611311i | ||||
\(652\) | −32.2915 | + | 10.4921i | −1.26463 | + | 0.410904i | ||||
\(653\) | −0.796398 | + | 2.45106i | −0.0311654 | + | 0.0959174i | −0.965429 | − | 0.260665i | \(-0.916058\pi\) |
0.934264 | + | 0.356583i | \(0.116058\pi\) | |||||||
\(654\) | −1.93988 | + | 3.93715i | −0.0758552 | + | 0.153955i | ||||
\(655\) | −31.8112 | − | 15.6179i | −1.24297 | − | 0.610243i | ||||
\(656\) | −3.77012 | + | 11.6032i | −0.147199 | + | 0.453031i | ||||
\(657\) | −18.8325 | − | 24.5075i | −0.734727 | − | 0.956129i | ||||
\(658\) | −0.192685 | − | 0.265209i | −0.00751166 | − | 0.0103389i | ||||
\(659\) | 35.4001 | 1.37899 | 0.689496 | − | 0.724290i | \(-0.257832\pi\) | ||||
0.689496 | + | 0.724290i | \(0.257832\pi\) | |||||||
\(660\) | −8.70501 | + | 17.2685i | −0.338842 | + | 0.672176i | ||||
\(661\) | −15.6254 | −0.607759 | −0.303879 | − | 0.952710i | \(-0.598282\pi\) | ||||
−0.303879 | + | 0.952710i | \(0.598282\pi\) | |||||||
\(662\) | 4.24489 | + | 5.84258i | 0.164982 | + | 0.227078i | ||||
\(663\) | −14.6447 | − | 27.8114i | −0.568754 | − | 1.08011i | ||||
\(664\) | −1.53182 | + | 4.71447i | −0.0594463 | + | 0.182957i | ||||
\(665\) | 0.531295 | − | 1.08216i | 0.0206027 | − | 0.0419645i | ||||
\(666\) | −12.0587 | − | 3.56278i | −0.467267 | − | 0.138055i | ||||
\(667\) | −9.75751 | + | 30.0305i | −0.377812 | + | 1.16279i | ||||
\(668\) | 7.67938 | − | 2.49518i | 0.297124 | − | 0.0965415i | ||||
\(669\) | −19.0871 | + | 19.6072i | −0.737952 | + | 0.758059i | ||||
\(670\) | −1.39694 | + | 0.242574i | −0.0539686 | + | 0.00937145i | ||||
\(671\) | 23.2006 | − | 22.1141i | 0.895650 | − | 0.853704i | ||||
\(672\) | 19.8120 | − | 3.41147i | 0.764266 | − | 0.131600i | ||||
\(673\) | −10.9648 | + | 7.96638i | −0.422661 | + | 0.307081i | −0.778708 | − | 0.627387i | \(-0.784124\pi\) |
0.356047 | + | 0.934468i | \(0.384124\pi\) | |||||||
\(674\) | −5.86425 | + | 1.90541i | −0.225883 | + | 0.0733937i | ||||
\(675\) | 22.2670 | − | 13.3858i | 0.857059 | − | 0.515219i | ||||
\(676\) | −6.11116 | − | 4.44001i | −0.235044 | − | 0.170770i | ||||
\(677\) | 24.4276 | − | 33.6218i | 0.938830 | − | 1.29219i | −0.0174834 | − | 0.999847i | \(-0.505565\pi\) |
0.956314 | − | 0.292342i | \(-0.0944346\pi\) | |||||||
\(678\) | 1.34056 | − | 9.26851i | 0.0514838 | − | 0.355955i | ||||
\(679\) | −6.25358 | + | 2.03191i | −0.239990 | + | 0.0779775i | ||||
\(680\) | 16.4140 | − | 16.9089i | 0.629447 | − | 0.648428i | ||||
\(681\) | −2.38341 | + | 0.410403i | −0.0913323 | + | 0.0157267i | ||||
\(682\) | −13.3035 | − | 7.18525i | −0.509418 | − | 0.275138i | ||||
\(683\) | −9.96643 | −0.381355 | −0.190677 | − | 0.981653i | \(-0.561068\pi\) | ||||
−0.190677 | + | 0.981653i | \(0.561068\pi\) | |||||||
\(684\) | −1.00821 | − | 0.691888i | −0.0385500 | − | 0.0264550i | ||||
\(685\) | −13.2439 | − | 25.0653i | −0.506024 | − | 0.957695i | ||||
\(686\) | −13.3639 | − | 4.34220i | −0.510237 | − | 0.165786i | ||||
\(687\) | 8.06315 | − | 16.3649i | 0.307628 | − | 0.624359i | ||||
\(688\) | −1.74618 | − | 1.26867i | −0.0665724 | − | 0.0483676i | ||||
\(689\) | −9.09720 | + | 27.9983i | −0.346576 | + | 1.06665i | ||||
\(690\) | −7.16308 | − | 9.29439i | −0.272694 | − | 0.353832i | ||||
\(691\) | 17.8614 | − | 12.9771i | 0.679480 | − | 0.493671i | −0.193705 | − | 0.981060i | \(-0.562051\pi\) |
0.873185 | + | 0.487389i | \(0.162051\pi\) | |||||||
\(692\) | 24.5461i | 0.933102i | ||||||||
\(693\) | 9.04660 | + | 17.6281i | 0.343652 | + | 0.669636i | ||||
\(694\) | −11.0002 | −0.417561 | ||||||||
\(695\) | 24.4613 | + | 23.7453i | 0.927870 | + | 0.900709i | ||||
\(696\) | 14.5792 | + | 27.6869i | 0.552622 | + | 1.04947i | ||||
\(697\) | 38.8296 | + | 12.6165i | 1.47078 | + | 0.477884i | ||||
\(698\) | −17.3316 | − | 12.5922i | −0.656013 | − | 0.476621i | ||||
\(699\) | 24.3199 | + | 11.9827i | 0.919862 | + | 0.453226i | ||||
\(700\) | 0.445210 | + | 14.9835i | 0.0168274 | + | 0.566322i | ||||
\(701\) | 0.379885 | + | 1.16917i | 0.0143481 | + | 0.0441588i | 0.957974 | − | 0.286854i | \(-0.0926096\pi\) |
−0.943626 | + | 0.331013i | \(0.892610\pi\) | |||||||
\(702\) | −6.47861 | + | 14.0921i | −0.244519 | + | 0.531871i | ||||
\(703\) | −1.61369 | −0.0608614 | ||||||||
\(704\) | 4.61590 | − | 2.21419i | 0.173968 | − | 0.0834503i | ||||
\(705\) | −0.304451 | − | 0.854007i | −0.0114663 | − | 0.0321638i | ||||
\(706\) | 7.62366 | + | 10.4931i | 0.286920 | + | 0.394912i | ||||
\(707\) | 1.05189 | + | 3.23738i | 0.0395603 | + | 0.121754i | ||||
\(708\) | −3.93891 | + | 27.2333i | −0.148033 | + | 1.02349i | ||||
\(709\) | 35.8795 | + | 26.0680i | 1.34748 | + | 0.979003i | 0.999133 | + | 0.0416377i | \(0.0132575\pi\) |
0.348349 | + | 0.937365i | \(0.386742\pi\) | |||||||
\(710\) | −0.742368 | − | 0.364470i | −0.0278606 | − | 0.0136783i | ||||
\(711\) | 0.676403 | − | 0.0181859i | 0.0253671 | − | 0.000682025i | ||||
\(712\) | 12.0786 | + | 37.1741i | 0.452664 | + | 1.39316i | ||||
\(713\) | −22.5975 | + | 16.4180i | −0.846283 | + | 0.614860i | ||||
\(714\) | −1.75963 | − | 10.2190i | −0.0658525 | − | 0.382437i | ||||
\(715\) | 31.4782 | + | 0.287117i | 1.17722 | + | 0.0107376i | ||||
\(716\) | 0.403786i | 0.0150902i | ||||||||
\(717\) | 22.7989 | + | 22.1942i | 0.851442 | + | 0.828858i | ||||
\(718\) | 11.5667 | − | 3.75825i | 0.431665 | − | 0.140257i | ||||
\(719\) | −21.3753 | − | 6.94525i | −0.797164 | − | 0.259014i | −0.118012 | − | 0.993012i | \(-0.537652\pi\) |
−0.679152 | + | 0.733998i | \(0.737652\pi\) | |||||||
\(720\) | 8.51306 | + | 0.986339i | 0.317263 | + | 0.0367587i | ||||
\(721\) | −6.94037 | + | 9.55259i | −0.258473 | + | 0.355757i | ||||
\(722\) | −12.6580 | − | 4.11282i | −0.471080 | − | 0.153063i | ||||
\(723\) | −1.41551 | − | 2.68816i | −0.0526434 | − | 0.0999736i | ||||
\(724\) | −0.260428 | + | 0.189212i | −0.00967872 | + | 0.00703200i | ||||
\(725\) | −34.4981 | + | 12.3535i | −1.28123 | + | 0.458796i | ||||
\(726\) | 9.14124 | + | 9.79492i | 0.339263 | + | 0.363524i | ||||
\(727\) | 11.9207i | 0.442113i | 0.975261 | + | 0.221057i | \(0.0709506\pi\) | ||||
−0.975261 | + | 0.221057i | \(0.929049\pi\) | |||||||
\(728\) | −12.2476 | − | 16.8574i | −0.453926 | − | 0.624775i | ||||
\(729\) | −26.2672 | − | 6.24789i | −0.972858 | − | 0.231403i | ||||
\(730\) | −16.0363 | − | 2.29630i | −0.593530 | − | 0.0849900i | ||||
\(731\) | −4.24554 | + | 5.84348i | −0.157027 | + | 0.216129i | ||||
\(732\) | −22.6048 | − | 11.1376i | −0.835497 | − | 0.411658i | ||||
\(733\) | 10.7613 | − | 33.1199i | 0.397478 | − | 1.22331i | −0.529537 | − | 0.848287i | \(-0.677634\pi\) |
0.927015 | − | 0.375025i | \(-0.122366\pi\) | |||||||
\(734\) | −0.495018 | − | 1.52351i | −0.0182714 | − | 0.0562337i | ||||
\(735\) | −9.69942 | − | 6.63611i | −0.357769 | − | 0.244776i | ||||
\(736\) | − | 25.1127i | − | 0.925665i | ||||||
\(737\) | 0.538503 | − | 2.94172i | 0.0198360 | − | 0.108360i | ||||
\(738\) | −6.73836 | − | 18.9863i | −0.248042 | − | 0.698895i | ||||
\(739\) | 2.07357 | + | 2.85403i | 0.0762775 | + | 0.104987i | 0.845451 | − | 0.534053i | \(-0.179332\pi\) |
−0.769173 | + | 0.639040i | \(0.779332\pi\) | |||||||
\(740\) | 17.7407 | − | 9.37381i | 0.652163 | − | 0.344588i | ||||
\(741\) | −0.284928 | + | 1.96997i | −0.0104671 | + | 0.0723686i | ||||
\(742\) | −5.70863 | + | 7.85726i | −0.209570 | + | 0.288449i | ||||
\(743\) | −29.3251 | + | 40.3625i | −1.07583 | + | 1.48076i | −0.211807 | + | 0.977311i | \(0.567935\pi\) |
−0.864026 | + | 0.503447i | \(0.832065\pi\) | |||||||
\(744\) | −3.96227 | + | 27.3948i | −0.145264 | + | 1.00434i | ||||
\(745\) | 9.11945 | + | 17.2593i | 0.334111 | + | 0.632334i | ||||
\(746\) | 12.2869 | + | 16.9115i | 0.449856 | + | 0.619174i | ||||
\(747\) | 2.01775 | + | 5.68531i | 0.0738257 | + | 0.208015i | ||||
\(748\) | 9.23261 | + | 19.2471i | 0.337577 | + | 0.703745i | ||||
\(749\) | − | 6.30147i | − | 0.230251i | ||||||
\(750\) | 3.45027 | − | 13.1732i | 0.125986 | − | 0.481016i | ||||
\(751\) | 5.26337 | + | 16.1990i | 0.192063 | + | 0.591109i | 0.999998 | + | 0.00183792i | \(0.000585028\pi\) |
−0.807935 | + | 0.589271i | \(0.799415\pi\) | |||||||
\(752\) | 0.0924172 | − | 0.284431i | 0.00337011 | − | 0.0103721i | ||||
\(753\) | −17.4064 | − | 8.57632i | −0.634325 | − | 0.312538i | ||||
\(754\) | 12.8580 | − | 17.6975i | 0.468259 | − | 0.644503i | ||||
\(755\) | 41.8773 | + | 5.99659i | 1.52407 | + | 0.218238i | ||||
\(756\) | 10.5624 | − | 11.4505i | 0.384153 | − | 0.416450i | ||||
\(757\) | −5.56375 | − | 7.65784i | −0.202218 | − | 0.278329i | 0.695849 | − | 0.718188i | \(-0.255028\pi\) |
−0.898067 | + | 0.439859i | \(0.855028\pi\) | |||||||
\(758\) | 14.6767i | 0.533081i | ||||||||
\(759\) | 23.6187 | − | 7.40005i | 0.857303 | − | 0.268605i | ||||
\(760\) | −1.47033 | + | 0.255317i | −0.0533344 | + | 0.00926132i | ||||
\(761\) | 39.8694 | − | 28.9668i | 1.44526 | − | 1.05005i | 0.458354 | − | 0.888770i | \(-0.348439\pi\) |
0.986909 | − | 0.161276i | \(-0.0515608\pi\) | |||||||
\(762\) | −5.70962 | − | 10.8430i | −0.206838 | − | 0.392800i | ||||
\(763\) | −6.82484 | − | 2.21753i | −0.247076 | − | 0.0802798i | ||||
\(764\) | −3.52617 | + | 4.85335i | −0.127572 | + | 0.175588i | ||||
\(765\) | 3.30073 | − | 28.4885i | 0.119338 | − | 1.03000i | ||||
\(766\) | 5.66085 | + | 1.83932i | 0.204535 | + | 0.0664574i | ||||
\(767\) | 42.5997 | − | 13.8415i | 1.53819 | − | 0.499787i | ||||
\(768\) | −13.0578 | − | 12.7114i | −0.471183 | − | 0.458685i | ||||
\(769\) | 14.5213i | 0.523650i | 0.965115 | + | 0.261825i | \(0.0843244\pi\) | ||||
−0.965115 | + | 0.261825i | \(0.915676\pi\) | |||||||
\(770\) | 9.84726 | + | 3.29916i | 0.354871 | + | 0.118894i | ||||
\(771\) | 1.82718 | + | 10.6113i | 0.0658043 | + | 0.382158i | ||||
\(772\) | 19.7263 | − | 14.3320i | 0.709965 | − | 0.515820i | ||||
\(773\) | 4.77507 | + | 14.6962i | 0.171747 | + | 0.528584i | 0.999470 | − | 0.0325533i | \(-0.0103639\pi\) |
−0.827723 | + | 0.561138i | \(0.810364\pi\) | |||||||
\(774\) | 3.56289 | − | 0.0957926i | 0.128065 | − | 0.00344319i | ||||
\(775\) | −31.1120 | − | 9.09663i | −1.11758 | − | 0.326761i | ||||
\(776\) | 6.58505 | + | 4.78432i | 0.236390 | + | 0.171747i | ||||
\(777\) | 2.94283 | − | 20.3465i | 0.105573 | − | 0.729926i | ||||
\(778\) | 5.72799 | + | 17.6289i | 0.205358 | + | 0.632028i | ||||
\(779\) | −1.51972 | − | 2.09172i | −0.0544497 | − | 0.0749436i | ||||
\(780\) | −8.31096 | − | 23.3128i | −0.297580 | − | 0.834732i | ||||
\(781\) | 1.26268 | − | 1.20354i | 0.0451821 | − | 0.0430661i | ||||
\(782\) | −12.9531 | −0.463201 | ||||||||
\(783\) | 34.5995 | + | 15.9066i | 1.23649 | + | 0.568455i | ||||
\(784\) | −1.19794 | − | 3.68688i | −0.0427836 | − | 0.131674i | ||||
\(785\) | −31.6363 | − | 4.53014i | −1.12915 | − | 0.161688i | ||||
\(786\) | 17.3156 | + | 8.53156i | 0.617626 | + | 0.304311i | ||||
\(787\) | −18.2083 | − | 13.2291i | −0.649057 | − | 0.471568i | 0.213893 | − | 0.976857i | \(-0.431386\pi\) |
−0.862950 | + | 0.505290i | \(0.831386\pi\) | |||||||
\(788\) | −8.15523 | − | 2.64980i | −0.290518 | − | 0.0943950i | ||||
\(789\) | −19.4248 | − | 36.8890i | −0.691539 | − | 1.31328i | ||||
\(790\) | 0.247028 | − | 0.254477i | 0.00878886 | − | 0.00905389i | ||||
\(791\) | 15.3114 | 0.544411 | ||||||||
\(792\) | 11.0716 | − | 21.8863i | 0.393412 | − | 0.777695i | ||||
\(793\) | 41.0204i | 1.45668i | ||||||||
\(794\) | 11.2295 | − | 8.15871i | 0.398520 | − | 0.289542i | ||||
\(795\) | −21.2758 | + | 16.3970i | −0.754574 | + | 0.581541i | ||||
\(796\) | 5.69257 | − | 17.5199i | 0.201768 | − | 0.620978i | ||||
\(797\) | −17.8825 | − | 12.9924i | −0.633429 | − | 0.460213i | 0.224157 | − | 0.974553i | \(-0.428037\pi\) |
−0.857587 | + | 0.514340i | \(0.828037\pi\) | |||||||
\(798\) | −0.290229 | + | 0.589045i | −0.0102740 | + | 0.0208520i | ||||
\(799\) | −0.951831 | − | 0.309269i | −0.0336734 | − | 0.0109411i | ||||
\(800\) | 23.0578 | − | 17.8224i | 0.815217 | − | 0.630116i | ||||
\(801\) | 39.2216 | + | 26.9159i | 1.38583 | + | 0.951025i | ||||
\(802\) | 24.8530 | 0.877590 | ||||||||
\(803\) | 16.2381 | − | 30.0648i | 0.573028 | − | 1.06096i | ||||
\(804\) | −2.31718 | + | 0.398999i | −0.0817205 | + | 0.0140716i | ||||
\(805\) | 13.3631 | − | 13.7661i | 0.470988 | − | 0.485191i | ||||
\(806\) | 18.4037 | − | 5.97973i | 0.648243 | − | 0.210627i | ||||
\(807\) | 6.26044 | − | 43.2841i | 0.220378 | − | 1.52367i | ||||
\(808\) | 2.47677 | − | 3.40898i | 0.0871324 | − | 0.119928i | ||||
\(809\) | 6.51749 | + | 4.73523i | 0.229143 | + | 0.166482i | 0.696433 | − | 0.717622i | \(-0.254770\pi\) |
−0.467290 | + | 0.884104i | \(0.654770\pi\) | |||||||
\(810\) | −12.1392 | + | 7.27410i | −0.426526 | + | 0.255586i | ||||
\(811\) | 26.9185 | − | 8.74635i | 0.945236 | − | 0.307126i | 0.204458 | − | 0.978875i | \(-0.434457\pi\) |
0.740778 | + | 0.671749i | \(0.234457\pi\) | |||||||
\(812\) | −17.7753 | + | 12.9145i | −0.623790 | + | 0.453210i | ||||
\(813\) | 38.3618 | − | 6.60558i | 1.34541 | − | 0.231668i | ||||
\(814\) | −1.84487 | − | 13.7782i | −0.0646627 | − | 0.482925i | ||||
\(815\) | 8.62780 | + | 49.6860i | 0.302219 | + | 1.74043i | ||||
\(816\) | 6.59878 | − | 6.77858i | 0.231003 | − | 0.237298i | ||||
\(817\) | 0.435020 | − | 0.141347i | 0.0152194 | − | 0.00494509i | ||||
\(818\) | −1.42839 | + | 4.39614i | −0.0499426 | + | 0.153708i | ||||
\(819\) | −24.3191 | − | 7.18514i | −0.849778 | − | 0.251069i | ||||
\(820\) | 28.8584 | + | 14.1682i | 1.00778 | + | 0.494775i | ||||
\(821\) | −14.6736 | + | 45.1606i | −0.512111 | + | 1.57611i | 0.276368 | + | 0.961052i | \(0.410869\pi\) |
−0.788479 | + | 0.615062i | \(0.789131\pi\) | |||||||
\(822\) | 7.19468 | + | 13.6632i | 0.250943 | + | 0.476560i | ||||
\(823\) | −4.28607 | − | 5.89927i | −0.149403 | − | 0.205636i | 0.727755 | − | 0.685837i | \(-0.240564\pi\) |
−0.877158 | + | 0.480201i | \(0.840564\pi\) | |||||||
\(824\) | 14.6165 | 0.509190 | ||||||||
\(825\) | 23.5566 | + | 16.4343i | 0.820136 | + | 0.572168i | ||||
\(826\) | 14.7771 | 0.514160 | ||||||||
\(827\) | −28.9978 | − | 39.9121i | −1.00835 | − | 1.38788i | −0.920057 | − | 0.391784i | \(-0.871858\pi\) |
−0.0882956 | − | 0.996094i | \(-0.528142\pi\) | |||||||
\(828\) | −11.8571 | − | 15.4301i | −0.412062 | − | 0.536232i | ||||
\(829\) | 8.50821 | − | 26.1856i | 0.295502 | − | 0.909463i | −0.687550 | − | 0.726137i | \(-0.741314\pi\) |
0.983052 | − | 0.183326i | \(-0.0586862\pi\) | |||||||
\(830\) | 2.83837 | + | 1.39351i | 0.0985211 | + | 0.0483696i | ||||
\(831\) | 7.48824 | − | 15.1980i | 0.259764 | − | 0.527215i | ||||
\(832\) | −2.02469 | + | 6.23136i | −0.0701936 | + | 0.216034i | ||||
\(833\) | −12.3379 | + | 4.00884i | −0.427484 | + | 0.138898i | ||||
\(834\) | −13.3058 | − | 12.9529i | −0.460742 | − | 0.448521i | ||||
\(835\) | −2.05182 | − | 11.8161i | −0.0710060 | − | 0.408912i | ||||
\(836\) | 0.243420 | − | 1.32974i | 0.00841884 | − | 0.0459902i | ||||
\(837\) | 16.4906 | + | 29.3738i | 0.570000 | + | 1.01531i | ||||
\(838\) | −0.966079 | + | 0.701897i | −0.0333726 | + | 0.0242466i | ||||
\(839\) | −11.3888 | + | 3.70044i | −0.393185 | + | 0.127753i | −0.498935 | − | 0.866639i | \(-0.666275\pi\) |
0.105751 | + | 0.994393i | \(0.466275\pi\) | |||||||
\(840\) | −0.537823 | − | 19.0045i | −0.0185567 | − | 0.655718i | ||||
\(841\) | −19.9902 | − | 14.5237i | −0.689316 | − | 0.500817i | ||||
\(842\) | −7.99069 | + | 10.9982i | −0.275377 | + | 0.379025i | ||||
\(843\) | −23.4808 | − | 3.39617i | −0.808722 | − | 0.116970i | ||||
\(844\) | −5.26138 | + | 1.70953i | −0.181104 | + | 0.0588443i | ||||
\(845\) | −7.81461 | + | 8.05026i | −0.268831 | + | 0.276937i | ||||
\(846\) | 0.165178 | + | 0.465412i | 0.00567892 | + | 0.0160012i | ||||
\(847\) | −13.7101 | + | 17.0841i | −0.471083 | + | 0.587018i | ||||
\(848\) | −8.86041 | −0.304268 | ||||||||
\(849\) | 37.0505 | + | 36.0678i | 1.27157 | + | 1.23784i | ||||
\(850\) | −9.19275 | − | 11.8932i | −0.315309 | − | 0.407933i | ||||
\(851\) | −24.4236 | − | 7.93572i | −0.837231 | − | 0.272033i | ||||
\(852\) | −1.23025 | − | 0.606156i | −0.0421476 | − | 0.0207666i | ||||
\(853\) | −24.3184 | − | 17.6684i | −0.832647 | − | 0.604954i | 0.0876596 | − | 0.996150i | \(-0.472061\pi\) |
−0.920307 | + | 0.391197i | \(0.872061\pi\) | |||||||
\(854\) | −4.18186 | + | 12.8704i | −0.143100 | + | 0.440418i | ||||
\(855\) | −1.22952 | + | 1.33668i | −0.0420488 | + | 0.0457134i | ||||
\(856\) | −6.31073 | + | 4.58501i | −0.215696 | + | 0.156712i | ||||
\(857\) | − | 23.3578i | − | 0.797886i | −0.916976 | − | 0.398943i | \(-0.869377\pi\) | ||
0.916976 | − | 0.398943i | \(-0.130623\pi\) | |||||||
\(858\) | −17.1460 | − | 0.180611i | −0.585353 | − | 0.00616595i | ||||
\(859\) | 0.342372 | 0.0116816 | 0.00584079 | − | 0.999983i | \(-0.498141\pi\) | ||||
0.00584079 | + | 0.999983i | \(0.498141\pi\) | |||||||
\(860\) | −3.96150 | + | 4.08096i | −0.135086 | + | 0.139160i | ||||
\(861\) | 29.1453 | − | 15.3471i | 0.993269 | − | 0.523028i | ||||
\(862\) | −12.2586 | − | 3.98307i | −0.417531 | − | 0.135664i | ||||
\(863\) | −29.6404 | − | 21.5350i | −1.00897 | − | 0.733060i | −0.0449774 | − | 0.998988i | \(-0.514322\pi\) |
−0.963993 | + | 0.265928i | \(0.914322\pi\) | |||||||
\(864\) | −30.0798 | − | 3.52817i | −1.02334 | − | 0.120031i | ||||
\(865\) | 36.0893 | + | 5.16777i | 1.22707 | + | 0.175710i | ||||
\(866\) | −1.42051 | − | 4.37187i | −0.0482708 | − | 0.148562i | ||||
\(867\) | −1.58552 | − | 1.54346i | −0.0538470 | − | 0.0524187i | ||||
\(868\) | −19.4359 | −0.659697 | ||||||||
\(869\) | 0.323538 | + | 0.674477i | 0.0109753 | + | 0.0228801i | ||||
\(870\) | 18.8006 | − | 6.70238i | 0.637401 | − | 0.227232i | ||||
\(871\) | 2.24972 | + | 3.09647i | 0.0762287 | + | 0.104920i | ||||
\(872\) | 2.74504 | + | 8.44836i | 0.0929587 | + | 0.286098i | ||||
\(873\) | 9.90225 | − | 0.266234i | 0.335140 | − | 0.00901066i | ||||
\(874\) | 0.663620 | + | 0.482148i | 0.0224473 | + | 0.0163089i | ||||
\(875\) | 22.1234 | + | 2.49995i | 0.747908 | + | 0.0845136i | ||||
\(876\) | −26.5883 | − | 3.84562i | −0.898336 | − | 0.129932i | ||||
\(877\) | −8.15170 | − | 25.0883i | −0.275263 | − | 0.847173i | −0.989150 | − | 0.146912i | \(-0.953067\pi\) |
0.713886 | − | 0.700262i | \(-0.246933\pi\) | |||||||
\(878\) | −3.81876 | + | 2.77449i | −0.128877 | + | 0.0936347i | ||||
\(879\) | 41.6478 | − | 7.17140i | 1.40474 | − | 0.241885i | ||||
\(880\) | 2.84548 | + | 9.03712i | 0.0959210 | + | 0.304641i | ||||
\(881\) | 21.4753i | 0.723520i | 0.932271 | + | 0.361760i | \(0.117824\pi\) | ||||
−0.932271 | + | 0.361760i | \(0.882176\pi\) | |||||||
\(882\) | 5.27817 | + | 3.62215i | 0.177725 | + | 0.121964i | ||||
\(883\) | −43.3915 | + | 14.0988i | −1.46024 | + | 0.474461i | −0.928143 | − | 0.372223i | \(-0.878596\pi\) |
−0.532097 | + | 0.846684i | \(0.678596\pi\) | |||||||
\(884\) | −25.9832 | − | 8.44246i | −0.873911 | − | 0.283951i | ||||
\(885\) | 39.2109 | + | 11.5248i | 1.31806 | + | 0.387401i | ||||
\(886\) | −6.37802 | + | 8.77859i | −0.214274 | + | 0.294923i | ||||
\(887\) | 48.7875 | + | 15.8520i | 1.63812 | + | 0.532259i | 0.976118 | − | 0.217239i | \(-0.0697052\pi\) |
0.662006 | + | 0.749498i | \(0.269705\pi\) | |||||||
\(888\) | −22.5176 | + | 11.8571i | −0.755641 | + | 0.397900i | ||||
\(889\) | 16.2091 | − | 11.7766i | 0.543636 | − | 0.394975i | ||||
\(890\) | 24.5651 | − | 4.26563i | 0.823423 | − | 0.142984i | ||||
\(891\) | −5.54547 | − | 29.3300i | −0.185780 | − | 0.982591i | ||||
\(892\) | 23.7844i | 0.796362i | ||||||||
\(893\) | 0.0372530 | + | 0.0512744i | 0.00124662 | + | 0.00171583i | ||||
\(894\) | −4.95409 | − | 9.40818i | −0.165689 | − | 0.314657i | ||||
\(895\) | 0.593673 | + | 0.0850104i | 0.0198443 | + | 0.00284159i | ||||
\(896\) | 12.3741 | − | 17.0315i | 0.413390 | − | 0.568982i | ||||
\(897\) | −14.0003 | + | 28.4148i | −0.467456 | + | 0.948744i | ||||
\(898\) | −1.62896 | + | 5.01341i | −0.0543590 | + | 0.167300i | ||||
\(899\) | −14.6817 | − | 45.1857i | −0.489663 | − | 1.50703i | ||||
\(900\) | 5.75259 | − | 21.8376i | 0.191753 | − | 0.727918i | ||||
\(901\) | 29.6508i | 0.987813i | ||||||||
\(902\) | 16.1223 | − | 15.3673i | 0.536814 | − | 0.511674i | ||||
\(903\) | 0.988863 | + | 5.74280i | 0.0329073 | + | 0.191108i | ||||
\(904\) | −11.1407 | − | 15.3339i | −0.370535 | − | 0.509998i | ||||
\(905\) | 0.223363 | + | 0.422734i | 0.00742484 | + | 0.0140521i | ||||
\(906\) | −22.8060 | − | 3.29856i | −0.757678 | − | 0.109587i | ||||
\(907\) | 21.6301 | − | 29.7713i | 0.718217 | − | 0.988541i | −0.281364 | − | 0.959601i | \(-0.590787\pi\) |
0.999581 | − | 0.0289397i | \(-0.00921308\pi\) | |||||||
\(908\) | −1.23561 | + | 1.70067i | −0.0410052 | + | 0.0564389i | ||||
\(909\) | −0.137825 | − | 5.12624i | −0.00457137 | − | 0.170027i | ||||
\(910\) | −11.7517 | + | 6.20933i | −0.389565 | + | 0.205837i | ||||
\(911\) | −28.7607 | − | 39.5856i | −0.952883 | − | 1.31153i | −0.950235 | − | 0.311534i | \(-0.899157\pi\) |
−0.00264805 | − | 0.999996i | \(-0.500843\pi\) | |||||||
\(912\) | −0.590389 | + | 0.101660i | −0.0195497 | + | 0.00336630i | ||||
\(913\) | −4.82771 | + | 4.60161i | −0.159774 | + | 0.152291i | ||||
\(914\) | 25.6398i | 0.848088i | ||||||||
\(915\) | −21.1343 | + | 30.8902i | −0.698679 | + | 1.02120i | ||||
\(916\) | −4.90016 | − | 15.0811i | −0.161906 | − | 0.498295i | ||||
\(917\) | −9.75266 | + | 30.0156i | −0.322061 | + | 0.991203i | ||||
\(918\) | −1.81982 | + | 15.5151i | −0.0600631 | + | 0.512076i | ||||
\(919\) | −3.24014 | + | 4.45967i | −0.106882 | + | 0.147111i | −0.859107 | − | 0.511795i | \(-0.828981\pi\) |
0.752225 | + | 0.658906i | \(0.228981\pi\) | |||||||
\(920\) | −23.5094 | − | 3.36641i | −0.775083 | − | 0.110987i | ||||
\(921\) | −11.1608 | + | 5.87695i | −0.367760 | + | 0.193652i | ||||
\(922\) | −3.87474 | − | 5.33312i | −0.127608 | − | 0.175637i | ||||
\(923\) | 2.23250i | 0.0734836i | ||||||||
\(924\) | 16.3224 | + | 5.49421i | 0.536968 | + | 0.180746i | ||||
\(925\) | −10.0470 | − | 28.0571i | −0.330343 | − | 0.922513i | ||||
\(926\) | −0.0359953 | + | 0.0261521i | −0.00118288 | + | 0.000859411i | ||||
\(927\) | 14.1048 | − | 10.8386i | 0.463261 | − | 0.355988i | ||||
\(928\) | 40.6248 | + | 13.1998i | 1.33357 | + | 0.433305i | ||||
\(929\) | −10.1583 | + | 13.9817i | −0.333282 | + | 0.458723i | −0.942464 | − | 0.334307i | \(-0.891498\pi\) |
0.609182 | + | 0.793030i | \(0.291498\pi\) | |||||||
\(930\) | 16.9397 | + | 4.97887i | 0.555475 | + | 0.163264i | ||||
\(931\) | 0.781324 | + | 0.253868i | 0.0256069 | + | 0.00832018i | ||||
\(932\) | 22.4121 | − | 7.28214i | 0.734133 | − | 0.238534i | ||||
\(933\) | 2.86316 | − | 2.94117i | 0.0937356 | − | 0.0962897i | ||||
\(934\) | 19.6150i | 0.641823i | ||||||||
\(935\) | 30.2422 | − | 9.52222i | 0.989026 | − | 0.311410i | ||||
\(936\) | 10.4991 | + | 29.5828i | 0.343175 | + | 0.966944i | ||||
\(937\) | −20.1712 | + | 14.6552i | −0.658964 | + | 0.478766i | −0.866313 | − | 0.499501i | \(-0.833517\pi\) |
0.207349 | + | 0.978267i | \(0.433517\pi\) | |||||||
\(938\) | 0.390193 | + | 1.20089i | 0.0127402 | + | 0.0392104i | ||||
\(939\) | −3.62281 | + | 25.0478i | −0.118226 | + | 0.817405i | ||||
\(940\) | −0.707406 | − | 0.347306i | −0.0230731 | − | 0.0113279i | ||||
\(941\) | −0.979392 | − | 0.711570i | −0.0319273 | − | 0.0231965i | 0.571707 | − | 0.820458i | \(-0.306281\pi\) |
−0.603634 | + | 0.797261i | \(0.706281\pi\) | |||||||
\(942\) | 17.2288 | + | 2.49191i | 0.561346 | + | 0.0811907i | ||||
\(943\) | −12.7149 | − | 39.1324i | −0.414054 | − | 1.27433i | ||||
\(944\) | 7.92405 | + | 10.9065i | 0.257906 | + | 0.354977i | ||||
\(945\) | −14.6115 | − | 17.9403i | −0.475313 | − | 0.583599i | ||||
\(946\) | 1.70420 | + | 3.55274i | 0.0554085 | + | 0.115510i | ||||
\(947\) | −48.8953 | −1.58888 | −0.794442 | − | 0.607340i | \(-0.792237\pi\) | ||||
−0.794442 | + | 0.607340i | \(0.792237\pi\) | |||||||
\(948\) | 0.410253 | − | 0.421432i | 0.0133244 | − | 0.0136875i | ||||
\(949\) | 13.5137 | + | 41.5908i | 0.438673 | + | 1.35010i | ||||
\(950\) | 0.0282723 | + | 0.951498i | 0.000917273 | + | 0.0308707i | ||||
\(951\) | −18.9754 | + | 38.5124i | −0.615321 | + | 1.24885i | ||||
\(952\) | −16.9786 | − | 12.3357i | −0.550279 | − | 0.399801i | ||||
\(953\) | 19.8549 | + | 6.45124i | 0.643162 | + | 0.208976i | 0.612397 | − | 0.790550i | \(-0.290205\pi\) |
0.0307656 | + | 0.999527i | \(0.490205\pi\) | |||||||
\(954\) | 11.6015 | − | 8.91507i | 0.375613 | − | 0.288636i | ||||
\(955\) | 6.39334 | + | 6.20620i | 0.206884 | + | 0.200828i | ||||
\(956\) | 27.6561 | 0.894463 | ||||||||
\(957\) | −0.443444 | + | 42.0976i | −0.0143345 | + | 1.36082i | ||||
\(958\) | − | 6.86200i | − | 0.221701i | ||||||
\(959\) | −20.4251 | + | 14.8397i | −0.659561 | + | 0.479199i | ||||
\(960\) | −4.73518 | + | 3.64935i | −0.152827 | + | 0.117782i | ||||
\(961\) | 3.40790 | − | 10.4884i | 0.109932 | − | 0.338337i | ||||
\(962\) | 14.3932 | + | 10.4573i | 0.464056 | + | 0.337157i | ||||
\(963\) | −2.68983 | + | 9.10411i | −0.0866786 | + | 0.293376i | ||||
\(964\) | −2.51145 | − | 0.816020i | −0.0808884 | − | 0.0262822i | ||||
\(965\) | −16.9188 | − | 32.0203i | −0.544636 | − | 1.03077i | ||||
\(966\) | −7.28948 | + | 7.48810i | −0.234535 | + | 0.240926i | ||||
\(967\) | 35.6672 | 1.14698 | 0.573490 | − | 0.819213i | \(-0.305589\pi\) | ||||
0.573490 | + | 0.819213i | \(0.305589\pi\) | |||||||
\(968\) | 27.0848 | + | 1.29962i | 0.870539 | + | 0.0417712i | ||||
\(969\) | 0.340200 | + | 1.97570i | 0.0109288 | + | 0.0634688i | ||||
\(970\) | 3.61638 | − | 3.72543i | 0.116115 | − | 0.119616i | ||||
\(971\) | −4.98955 | + | 1.62120i | −0.160122 | + | 0.0520269i | −0.387981 | − | 0.921667i | \(-0.626827\pi\) |
0.227859 | + | 0.973694i | \(0.426827\pi\) | |||||||
\(972\) | −20.1479 | + | 12.0345i | −0.646245 | + | 0.386008i | ||||
\(973\) | 17.8454 | − | 24.5620i | 0.572096 | − | 0.787423i | ||||
\(974\) | 7.10586 | + | 5.16271i | 0.227687 | + | 0.165424i | ||||
\(975\) | −36.0258 | + | 7.31119i | −1.15375 | + | 0.234146i | ||||
\(976\) | −11.7418 | + | 3.81514i | −0.375845 | + | 0.122120i | ||||
\(977\) | 16.6058 | − | 12.0648i | 0.531265 | − | 0.385987i | −0.289565 | − | 0.957158i | \(-0.593511\pi\) |
0.820831 | + | 0.571171i | \(0.193511\pi\) | |||||||
\(978\) | −4.66133 | − | 27.0706i | −0.149053 | − | 0.865623i | ||||
\(979\) | −9.46952 | + | 51.7298i | −0.302647 | + | 1.65329i | ||||
\(980\) | −10.0645 | + | 1.74767i | −0.321499 | + | 0.0558272i | ||||
\(981\) | 8.91369 | + | 6.11703i | 0.284592 | + | 0.195302i | ||||
\(982\) | 13.5888 | − | 4.41528i | 0.433637 | − | 0.140897i | ||||
\(983\) | −7.11648 | + | 21.9023i | −0.226981 | + | 0.698574i | 0.771104 | + | 0.636709i | \(0.219705\pi\) |
−0.998085 | + | 0.0618651i | \(0.980295\pi\) | |||||||
\(984\) | −36.5760 | − | 18.0214i | −1.16600 | − | 0.574501i | ||||
\(985\) | −5.61286 | + | 11.4325i | −0.178840 | + | 0.364270i | ||||
\(986\) | 6.80844 | − | 20.9542i | 0.216825 | − | 0.667318i | ||||
\(987\) | −0.714440 | + | 0.376204i | −0.0227409 | + | 0.0119747i | ||||
\(988\) | 1.01694 | + | 1.39970i | 0.0323531 | + | 0.0445302i | ||||
\(989\) | 7.27926 | 0.231467 | ||||||||
\(990\) | −12.8186 | − | 8.96988i | −0.407403 | − | 0.285081i | ||||
\(991\) | −3.54759 | −0.112693 | −0.0563465 | − | 0.998411i | \(-0.517945\pi\) | ||||
−0.0563465 | + | 0.998411i | \(0.517945\pi\) | |||||||
\(992\) | 22.2101 | + | 30.5695i | 0.705170 | + | 0.970583i | ||||
\(993\) | 15.7392 | − | 8.28783i | 0.499469 | − | 0.263006i | ||||
\(994\) | −0.227595 | + | 0.700464i | −0.00721886 | + | 0.0222174i | ||||
\(995\) | −24.5605 | − | 12.0581i | −0.778620 | − | 0.382269i | ||||
\(996\) | 4.70372 | + | 2.31757i | 0.149043 | + | 0.0734351i | ||||
\(997\) | −1.51195 | + | 4.65329i | −0.0478838 | + | 0.147371i | −0.972140 | − | 0.234403i | \(-0.924687\pi\) |
0.924256 | + | 0.381774i | \(0.124687\pi\) | |||||||
\(998\) | 27.0759 | − | 8.79750i | 0.857073 | − | 0.278480i | ||||
\(999\) | −12.9367 | + | 28.1396i | −0.409300 | + | 0.890297i |
(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 | 165.2.r.a.74.14 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.74.8 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.701.7 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.701.14 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.74.7 | yes | 80 | |
11.7 | odd | 10 | inner | 165.2.r.a.29.13 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.701.13 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.701.8 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.74.13 | yes | 80 | |
33.29 | even | 10 | inner | 165.2.r.a.29.7 | ✓ | 80 | |
55.7 | even | 20 | 825.2.bi.h.326.13 | 80 | |||
55.18 | even | 20 | 825.2.bi.h.326.8 | 80 | |||
55.29 | odd | 10 | inner | 165.2.r.a.29.8 | yes | 80 | |
165.29 | even | 10 | inner | 165.2.r.a.29.14 | yes | 80 | |
165.62 | odd | 20 | 825.2.bi.h.326.7 | 80 | |||
165.128 | odd | 20 | 825.2.bi.h.326.14 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.7 | ✓ | 80 | 33.29 | even | 10 | inner | |
165.2.r.a.29.8 | yes | 80 | 55.29 | odd | 10 | inner | |
165.2.r.a.29.13 | yes | 80 | 11.7 | odd | 10 | inner | |
165.2.r.a.29.14 | yes | 80 | 165.29 | even | 10 | inner | |
165.2.r.a.74.7 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.74.8 | yes | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.74.13 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.74.14 | yes | 80 | 1.1 | even | 1 | trivial | |
825.2.bi.h.326.7 | 80 | 165.62 | odd | 20 | |||
825.2.bi.h.326.8 | 80 | 55.18 | even | 20 | |||
825.2.bi.h.326.13 | 80 | 55.7 | even | 20 | |||
825.2.bi.h.326.14 | 80 | 165.128 | odd | 20 | |||
825.2.bi.h.701.7 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.701.8 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.701.13 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.701.14 | 80 | 5.3 | odd | 4 |