Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 47.15 | ||
Character | \(\chi\) | \(=\) | 108.47 |
Dual form | 108.2.l.a.23.15 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32122 | − | 0.504364i | 0.934242 | − | 0.356639i | ||||
\(3\) | 0.808457 | + | 1.53180i | 0.466763 | + | 0.884383i | ||||
\(4\) | 1.49123 | − | 1.33275i | 0.745617 | − | 0.666375i | ||||
\(5\) | −3.39370 | + | 0.598401i | −1.51771 | + | 0.267613i | −0.869532 | − | 0.493877i | \(-0.835579\pi\) |
−0.648177 | + | 0.761490i | \(0.724468\pi\) | |||||||
\(6\) | 1.84073 | + | 1.61608i | 0.751475 | + | 0.659761i | ||||
\(7\) | 1.88319 | − | 2.24430i | 0.711781 | − | 0.848267i | −0.282024 | − | 0.959407i | \(-0.591006\pi\) |
0.993805 | + | 0.111140i | \(0.0354503\pi\) | |||||||
\(8\) | 1.29805 | − | 2.51298i | 0.458931 | − | 0.888472i | ||||
\(9\) | −1.69280 | + | 2.47678i | −0.564265 | + | 0.825594i | ||||
\(10\) | −4.18200 | + | 2.50228i | −1.32247 | + | 0.791290i | ||||
\(11\) | −0.453915 | + | 2.57428i | −0.136861 | + | 0.776174i | 0.836686 | + | 0.547684i | \(0.184490\pi\) |
−0.973546 | + | 0.228491i | \(0.926621\pi\) | |||||||
\(12\) | 3.24710 | + | 1.20679i | 0.937357 | + | 0.348371i | ||||
\(13\) | −5.09721 | − | 1.85523i | −1.41371 | − | 0.514549i | −0.481496 | − | 0.876449i | \(-0.659906\pi\) |
−0.932217 | + | 0.361899i | \(0.882128\pi\) | |||||||
\(14\) | 1.35616 | − | 3.91503i | 0.362450 | − | 1.04634i | ||||
\(15\) | −3.66029 | − | 4.71467i | −0.945082 | − | 1.21732i | ||||
\(16\) | 0.447553 | − | 3.97488i | 0.111888 | − | 0.993721i | ||||
\(17\) | 1.15583 | − | 0.667320i | 0.280330 | − | 0.161849i | −0.353243 | − | 0.935532i | \(-0.614921\pi\) |
0.633573 | + | 0.773683i | \(0.281588\pi\) | |||||||
\(18\) | −0.987352 | + | 4.12615i | −0.232721 | + | 0.972544i | ||||
\(19\) | 0.0790760 | + | 0.0456546i | 0.0181413 | + | 0.0104739i | 0.509043 | − | 0.860741i | \(-0.329999\pi\) |
−0.490902 | + | 0.871215i | \(0.663333\pi\) | |||||||
\(20\) | −4.26328 | + | 5.41531i | −0.953298 | + | 1.21090i | ||||
\(21\) | 4.96030 | + | 1.07025i | 1.08243 | + | 0.233547i | ||||
\(22\) | 0.698654 | + | 3.63012i | 0.148954 | + | 0.773945i | ||||
\(23\) | 0.650322 | − | 0.545685i | 0.135602 | − | 0.113783i | −0.572464 | − | 0.819930i | \(-0.694012\pi\) |
0.708066 | + | 0.706147i | \(0.249568\pi\) | |||||||
\(24\) | 4.89879 | − | 0.0432838i | 0.999961 | − | 0.00883528i | ||||
\(25\) | 6.46065 | − | 2.35148i | 1.29213 | − | 0.470297i | ||||
\(26\) | −7.67024 | + | 0.119685i | −1.50426 | + | 0.0234721i | ||||
\(27\) | −5.16247 | − | 0.590647i | −0.993519 | − | 0.113670i | ||||
\(28\) | −0.182815 | − | 5.85661i | −0.0345487 | − | 1.10679i | ||||
\(29\) | −0.171418 | − | 0.470966i | −0.0318315 | − | 0.0874562i | 0.922759 | − | 0.385378i | \(-0.125929\pi\) |
−0.954590 | + | 0.297922i | \(0.903707\pi\) | |||||||
\(30\) | −7.21395 | − | 4.38299i | −1.31708 | − | 0.800221i | ||||
\(31\) | 4.28324 | + | 5.10457i | 0.769293 | + | 0.916807i | 0.998397 | − | 0.0565946i | \(-0.0180243\pi\) |
−0.229105 | + | 0.973402i | \(0.573580\pi\) | |||||||
\(32\) | −1.41348 | − | 5.47742i | −0.249869 | − | 0.968280i | ||||
\(33\) | −4.31024 | + | 1.38589i | −0.750317 | + | 0.241252i | ||||
\(34\) | 1.19053 | − | 1.46464i | 0.204175 | − | 0.251183i | ||||
\(35\) | −5.04800 | + | 8.74340i | −0.853268 | + | 1.47790i | ||||
\(36\) | 0.776578 | + | 5.94953i | 0.129430 | + | 0.991589i | ||||
\(37\) | 2.75869 | + | 4.77819i | 0.453526 | + | 0.785530i | 0.998602 | − | 0.0528563i | \(-0.0168325\pi\) |
−0.545076 | + | 0.838387i | \(0.683499\pi\) | |||||||
\(38\) | 0.127503 | + | 0.0204365i | 0.0206838 | + | 0.00331524i | ||||
\(39\) | −1.27904 | − | 9.30777i | −0.204810 | − | 1.49044i | ||||
\(40\) | −2.90143 | + | 9.30505i | −0.458756 | + | 1.47126i | ||||
\(41\) | −0.976880 | + | 2.68396i | −0.152563 | + | 0.419163i | −0.992304 | − | 0.123823i | \(-0.960484\pi\) |
0.839741 | + | 0.542987i | \(0.182707\pi\) | |||||||
\(42\) | 7.09343 | − | 1.08777i | 1.09454 | − | 0.167846i | ||||
\(43\) | 5.59737 | + | 0.986968i | 0.853591 | + | 0.150511i | 0.583289 | − | 0.812264i | \(-0.301765\pi\) |
0.270302 | + | 0.962776i | \(0.412876\pi\) | |||||||
\(44\) | 2.75398 | + | 4.44381i | 0.415178 | + | 0.669929i | ||||
\(45\) | 4.26273 | − | 9.41842i | 0.635451 | − | 1.40402i | ||||
\(46\) | 0.583993 | − | 1.04897i | 0.0861051 | − | 0.154662i | ||||
\(47\) | 5.06200 | + | 4.24752i | 0.738369 | + | 0.619565i | 0.932399 | − | 0.361430i | \(-0.117712\pi\) |
−0.194030 | + | 0.980996i | \(0.562156\pi\) | |||||||
\(48\) | 6.45054 | − | 2.52796i | 0.931055 | − | 0.364880i | ||||
\(49\) | −0.274941 | − | 1.55927i | −0.0392772 | − | 0.222752i | ||||
\(50\) | 7.34992 | − | 6.36534i | 1.03944 | − | 0.900196i | ||||
\(51\) | 1.95664 | + | 1.23100i | 0.273984 | + | 0.172374i | ||||
\(52\) | −10.0737 | + | 4.02673i | −1.39697 | + | 0.558407i | ||||
\(53\) | − | 7.37249i | − | 1.01269i | −0.862331 | − | 0.506345i | \(-0.830996\pi\) | ||
0.862331 | − | 0.506345i | \(-0.169004\pi\) | |||||||
\(54\) | −7.11865 | + | 1.82339i | −0.968726 | + | 0.248133i | ||||
\(55\) | − | 9.00795i | − | 1.21463i | ||||||
\(56\) | −3.19540 | − | 7.64565i | −0.427004 | − | 1.02169i | ||||
\(57\) | −0.00600393 | + | 0.158038i | −0.000795239 | + | 0.0209327i | ||||
\(58\) | −0.464019 | − | 0.535792i | −0.0609286 | − | 0.0703529i | ||||
\(59\) | −0.528787 | − | 2.99890i | −0.0688422 | − | 0.390423i | −0.999687 | − | 0.0250093i | \(-0.992038\pi\) |
0.930845 | − | 0.365414i | \(-0.119073\pi\) | |||||||
\(60\) | −11.7418 | − | 2.15243i | −1.51586 | − | 0.277877i | ||||
\(61\) | −1.85759 | − | 1.55871i | −0.237841 | − | 0.199572i | 0.516075 | − | 0.856544i | \(-0.327393\pi\) |
−0.753915 | + | 0.656972i | \(0.771837\pi\) | |||||||
\(62\) | 8.23365 | + | 4.58393i | 1.04568 | + | 0.582160i | ||||
\(63\) | 2.37078 | + | 8.46341i | 0.298691 | + | 1.06629i | ||||
\(64\) | −4.63012 | − | 6.52395i | −0.578765 | − | 0.815494i | ||||
\(65\) | 18.4086 | + | 3.24593i | 2.28330 | + | 0.402608i | ||||
\(66\) | −4.99577 | + | 4.00499i | −0.614937 | + | 0.492980i | ||||
\(67\) | 1.64904 | − | 4.53069i | 0.201462 | − | 0.553512i | −0.797283 | − | 0.603606i | \(-0.793730\pi\) |
0.998744 | + | 0.0500945i | \(0.0159522\pi\) | |||||||
\(68\) | 0.834244 | − | 2.53557i | 0.101167 | − | 0.307482i | ||||
\(69\) | 1.36164 | + | 0.554998i | 0.163922 | + | 0.0668139i | ||||
\(70\) | −2.25965 | + | 14.0980i | −0.270080 | + | 1.68503i | ||||
\(71\) | −5.91940 | − | 10.2527i | −0.702504 | − | 1.21677i | −0.967585 | − | 0.252546i | \(-0.918732\pi\) |
0.265081 | − | 0.964226i | \(-0.414601\pi\) | |||||||
\(72\) | 4.02676 | + | 7.46895i | 0.474558 | + | 0.880224i | ||||
\(73\) | −5.83049 | + | 10.0987i | −0.682408 | + | 1.18197i | 0.291836 | + | 0.956468i | \(0.405734\pi\) |
−0.974244 | + | 0.225497i | \(0.927600\pi\) | |||||||
\(74\) | 6.05478 | + | 4.92165i | 0.703854 | + | 0.572130i | ||||
\(75\) | 8.82515 | + | 7.99532i | 1.01904 | + | 0.923220i | ||||
\(76\) | 0.178767 | − | 0.0373070i | 0.0205060 | − | 0.00427941i | ||||
\(77\) | 4.92266 | + | 5.86659i | 0.560989 | + | 0.668560i | ||||
\(78\) | −6.38439 | − | 11.6525i | −0.722890 | − | 1.31938i | ||||
\(79\) | −0.576990 | − | 1.58527i | −0.0649165 | − | 0.178357i | 0.902993 | − | 0.429655i | \(-0.141365\pi\) |
−0.967910 | + | 0.251298i | \(0.919143\pi\) | |||||||
\(80\) | 0.859714 | + | 13.7574i | 0.0961190 | + | 1.53812i | ||||
\(81\) | −3.26889 | − | 8.38537i | −0.363209 | − | 0.931707i | ||||
\(82\) | 0.0630204 | + | 4.03879i | 0.00695944 | + | 0.446010i | ||||
\(83\) | 2.02940 | − | 0.738640i | 0.222755 | − | 0.0810763i | −0.228232 | − | 0.973607i | \(-0.573294\pi\) |
0.450987 | + | 0.892531i | \(0.351072\pi\) | |||||||
\(84\) | 8.82333 | − | 5.01485i | 0.962704 | − | 0.547165i | ||||
\(85\) | −3.52322 | + | 2.95633i | −0.382147 | + | 0.320659i | ||||
\(86\) | 7.89314 | − | 1.51912i | 0.851139 | − | 0.163810i | ||||
\(87\) | 0.582840 | − | 0.643333i | 0.0624870 | − | 0.0689725i | ||||
\(88\) | 5.87990 | + | 4.48223i | 0.626800 | + | 0.477807i | ||||
\(89\) | −12.5801 | − | 7.26310i | −1.33348 | − | 0.769887i | −0.347652 | − | 0.937624i | \(-0.613021\pi\) |
−0.985832 | + | 0.167737i | \(0.946354\pi\) | |||||||
\(90\) | 0.881683 | − | 14.5938i | 0.0929375 | − | 1.53832i | ||||
\(91\) | −13.7628 | + | 7.94593i | −1.44273 | + | 0.832960i | ||||
\(92\) | 0.242520 | − | 1.68046i | 0.0252844 | − | 0.175200i | ||||
\(93\) | −4.35634 | + | 10.6879i | −0.451731 | + | 1.10828i | ||||
\(94\) | 8.83031 | + | 3.05881i | 0.910777 | + | 0.315492i | ||||
\(95\) | −0.295680 | − | 0.107619i | −0.0303361 | − | 0.0110414i | ||||
\(96\) | 7.24755 | − | 6.59341i | 0.739700 | − | 0.672937i | ||||
\(97\) | 1.14607 | − | 6.49971i | 0.116366 | − | 0.659946i | −0.869698 | − | 0.493583i | \(-0.835687\pi\) |
0.986065 | − | 0.166362i | \(-0.0532021\pi\) | |||||||
\(98\) | −1.14969 | − | 1.92146i | −0.116137 | − | 0.194097i | ||||
\(99\) | −5.60754 | − | 5.48198i | −0.563579 | − | 0.550959i | ||||
\(100\) | 6.50039 | − | 12.1170i | 0.650039 | − | 1.21170i | ||||
\(101\) | −5.29995 | + | 6.31623i | −0.527365 | + | 0.628489i | −0.962306 | − | 0.271970i | \(-0.912325\pi\) |
0.434941 | + | 0.900459i | \(0.356769\pi\) | |||||||
\(102\) | 3.20602 | + | 0.639560i | 0.317443 | + | 0.0633258i | ||||
\(103\) | −15.8523 | + | 2.79519i | −1.56197 | + | 0.275418i | −0.886769 | − | 0.462214i | \(-0.847055\pi\) |
−0.675203 | + | 0.737632i | \(0.735944\pi\) | |||||||
\(104\) | −11.2786 | + | 10.4010i | −1.10596 | + | 1.01990i | ||||
\(105\) | −17.4742 | − | 0.663851i | −1.70531 | − | 0.0647852i | ||||
\(106\) | −3.71842 | − | 9.74067i | −0.361165 | − | 0.946097i | ||||
\(107\) | 9.71808 | 0.939482 | 0.469741 | − | 0.882804i | \(-0.344347\pi\) | ||||
0.469741 | + | 0.882804i | \(0.344347\pi\) | |||||||
\(108\) | −8.48564 | + | 5.99950i | −0.816531 | + | 0.577302i | ||||
\(109\) | −4.69860 | −0.450044 | −0.225022 | − | 0.974354i | \(-0.572245\pi\) | ||||
−0.225022 | + | 0.974354i | \(0.572245\pi\) | |||||||
\(110\) | −4.54329 | − | 11.9015i | −0.433186 | − | 1.13476i | ||||
\(111\) | −5.08893 | + | 8.08872i | −0.483020 | + | 0.767747i | ||||
\(112\) | −8.07802 | − | 8.48992i | −0.763301 | − | 0.802222i | ||||
\(113\) | 0.555886 | − | 0.0980178i | 0.0522934 | − | 0.00922074i | −0.147440 | − | 0.989071i | \(-0.547103\pi\) |
0.199734 | + | 0.979850i | \(0.435992\pi\) | |||||||
\(114\) | 0.0717763 | + | 0.211831i | 0.00672246 | + | 0.0198398i | ||||
\(115\) | −1.88046 | + | 2.24104i | −0.175354 | + | 0.208978i | ||||
\(116\) | −0.883304 | − | 0.473863i | −0.0820127 | − | 0.0439971i | ||||
\(117\) | 13.2236 | − | 9.48415i | 1.22252 | − | 0.876810i | ||||
\(118\) | −2.21118 | − | 3.69550i | −0.203556 | − | 0.340198i | ||||
\(119\) | 0.678988 | − | 3.85073i | 0.0622427 | − | 0.352996i | ||||
\(120\) | −16.5991 | + | 3.07833i | −1.51528 | + | 0.281012i | ||||
\(121\) | 3.91574 | + | 1.42521i | 0.355977 | + | 0.129565i | ||||
\(122\) | −3.24044 | − | 1.12249i | −0.293376 | − | 0.101625i | ||||
\(123\) | −4.90104 | + | 0.673481i | −0.441911 | + | 0.0607258i | ||||
\(124\) | 13.1904 | + | 1.90361i | 1.18453 | + | 0.170949i | ||||
\(125\) | −5.59652 | + | 3.23116i | −0.500568 | + | 0.289003i | ||||
\(126\) | 7.40096 | + | 9.98627i | 0.659330 | + | 0.889647i | ||||
\(127\) | 9.63141 | + | 5.56070i | 0.854649 | + | 0.493432i | 0.862217 | − | 0.506539i | \(-0.169076\pi\) |
−0.00756758 | + | 0.999971i | \(0.502409\pi\) | |||||||
\(128\) | −9.40785 | − | 6.28430i | −0.831544 | − | 0.555458i | ||||
\(129\) | 3.01340 | + | 9.37195i | 0.265315 | + | 0.825154i | ||||
\(130\) | 25.9589 | − | 4.99605i | 2.27674 | − | 0.438183i | ||||
\(131\) | 2.37648 | − | 1.99411i | 0.207634 | − | 0.174226i | −0.533040 | − | 0.846090i | \(-0.678951\pi\) |
0.740675 | + | 0.671864i | \(0.234506\pi\) | |||||||
\(132\) | −4.58053 | + | 7.81116i | −0.398684 | + | 0.679874i | ||||
\(133\) | 0.251378 | − | 0.0914942i | 0.0217973 | − | 0.00793355i | ||||
\(134\) | −0.106382 | − | 6.81774i | −0.00919004 | − | 0.588963i | ||||
\(135\) | 17.8733 | − | 1.08475i | 1.53829 | − | 0.0933604i | ||||
\(136\) | −0.176631 | − | 3.77080i | −0.0151459 | − | 0.323343i | ||||
\(137\) | −5.90609 | − | 16.2268i | −0.504591 | − | 1.38635i | −0.886747 | − | 0.462255i | \(-0.847041\pi\) |
0.382156 | − | 0.924098i | \(-0.375182\pi\) | |||||||
\(138\) | 2.07894 | + | 0.0465128i | 0.176971 | + | 0.00395943i | ||||
\(139\) | 7.19280 | + | 8.57205i | 0.610085 | + | 0.727071i | 0.979332 | − | 0.202260i | \(-0.0648286\pi\) |
−0.369246 | + | 0.929332i | \(0.620384\pi\) | |||||||
\(140\) | 4.12502 | + | 19.7662i | 0.348628 | + | 1.67055i | ||||
\(141\) | −2.41393 | + | 11.1879i | −0.203290 | + | 0.942191i | ||||
\(142\) | −12.9919 | − | 10.5605i | −1.09026 | − | 0.886219i | ||||
\(143\) | 7.08959 | − | 12.2795i | 0.592862 | − | 1.02687i | ||||
\(144\) | 9.08730 | + | 7.83715i | 0.757275 | + | 0.653096i | ||||
\(145\) | 0.863567 | + | 1.49574i | 0.0717153 | + | 0.124215i | ||||
\(146\) | −2.60992 | + | 16.2833i | −0.215999 | + | 1.34762i | ||||
\(147\) | 2.16620 | − | 1.68175i | 0.178665 | − | 0.138709i | ||||
\(148\) | 10.4820 | + | 3.44875i | 0.861615 | + | 0.283486i | ||||
\(149\) | −6.24250 | + | 17.1511i | −0.511406 | + | 1.40508i | 0.368367 | + | 0.929680i | \(0.379917\pi\) |
−0.879773 | + | 0.475395i | \(0.842305\pi\) | |||||||
\(150\) | 15.6925 | + | 6.11247i | 1.28129 | + | 0.499081i | ||||
\(151\) | −18.9571 | − | 3.34265i | −1.54271 | − | 0.272021i | −0.663396 | − | 0.748269i | \(-0.730885\pi\) |
−0.879311 | + | 0.476248i | \(0.841996\pi\) | |||||||
\(152\) | 0.217374 | − | 0.139454i | 0.0176313 | − | 0.0113112i | ||||
\(153\) | −0.303782 | + | 3.99238i | −0.0245593 | + | 0.322765i | ||||
\(154\) | 9.46280 | + | 5.26823i | 0.762534 | + | 0.424526i | ||||
\(155\) | −17.5906 | − | 14.7603i | −1.41291 | − | 1.18557i | ||||
\(156\) | −14.3123 | − | 12.1754i | −1.14590 | − | 0.974813i | ||||
\(157\) | −2.92425 | − | 16.5843i | −0.233381 | − | 1.32357i | −0.845997 | − | 0.533187i | \(-0.820994\pi\) |
0.612617 | − | 0.790380i | \(-0.290117\pi\) | |||||||
\(158\) | −1.56188 | − | 1.80347i | −0.124257 | − | 0.143476i | ||||
\(159\) | 11.2932 | − | 5.96034i | 0.895605 | − | 0.472686i | ||||
\(160\) | 8.07460 | + | 17.7429i | 0.638353 | + | 1.40270i | ||||
\(161\) | − | 2.48715i | − | 0.196015i | ||||||
\(162\) | −8.54819 | − | 9.43019i | −0.671609 | − | 0.740906i | ||||
\(163\) | 8.02606i | 0.628650i | 0.949315 | + | 0.314325i | \(0.101778\pi\) | ||||
−0.949315 | + | 0.314325i | \(0.898222\pi\) | |||||||
\(164\) | 2.12029 | + | 5.30434i | 0.165567 | + | 0.414199i | ||||
\(165\) | 13.7983 | − | 7.28254i | 1.07420 | − | 0.566945i | ||||
\(166\) | 2.30873 | − | 1.99946i | 0.179192 | − | 0.155188i | ||||
\(167\) | 0.226727 | + | 1.28583i | 0.0175447 | + | 0.0995008i | 0.992323 | − | 0.123676i | \(-0.0394684\pi\) |
−0.974778 | + | 0.223177i | \(0.928357\pi\) | |||||||
\(168\) | 9.12823 | − | 11.0759i | 0.704258 | − | 0.854523i | ||||
\(169\) | 12.5811 | + | 10.5568i | 0.967779 | + | 0.812063i | ||||
\(170\) | −3.16387 | + | 5.68295i | −0.242658 | + | 0.435862i | ||||
\(171\) | −0.246936 | + | 0.118570i | −0.0188837 | + | 0.00906729i | ||||
\(172\) | 9.66237 | − | 5.98810i | 0.736749 | − | 0.456588i | ||||
\(173\) | 11.2769 | + | 1.98842i | 0.857366 | + | 0.151177i | 0.585016 | − | 0.811022i | \(-0.301088\pi\) |
0.272350 | + | 0.962198i | \(0.412199\pi\) | |||||||
\(174\) | 0.445585 | − | 1.14395i | 0.0337797 | − | 0.0867224i | ||||
\(175\) | 6.88921 | − | 18.9280i | 0.520776 | − | 1.43082i | ||||
\(176\) | 10.0293 | + | 2.95638i | 0.755988 | + | 0.222846i | ||||
\(177\) | 4.16620 | − | 3.23447i | 0.313151 | − | 0.243118i | ||||
\(178\) | −20.2842 | − | 3.25120i | −1.52037 | − | 0.243688i | ||||
\(179\) | 10.7064 | + | 18.5441i | 0.800237 | + | 1.38605i | 0.919460 | + | 0.393184i | \(0.128627\pi\) |
−0.119222 | + | 0.992868i | \(0.538040\pi\) | |||||||
\(180\) | −6.19568 | − | 19.7262i | −0.461798 | − | 1.47031i | ||||
\(181\) | 7.31416 | − | 12.6685i | 0.543657 | − | 0.941641i | −0.455033 | − | 0.890474i | \(-0.650373\pi\) |
0.998690 | − | 0.0511670i | \(-0.0162941\pi\) | |||||||
\(182\) | −14.1760 | + | 17.4397i | −1.05079 | + | 1.29272i | ||||
\(183\) | 0.885836 | − | 4.10560i | 0.0654829 | − | 0.303495i | ||||
\(184\) | −0.527143 | − | 2.34257i | −0.0388615 | − | 0.172697i | ||||
\(185\) | −12.2214 | − | 14.5650i | −0.898539 | − | 1.07084i | ||||
\(186\) | −0.365092 | + | 16.3182i | −0.0267699 | + | 1.19651i | ||||
\(187\) | 1.19322 | + | 3.27834i | 0.0872568 | + | 0.239736i | ||||
\(188\) | 13.2095 | − | 0.412337i | 0.963403 | − | 0.0300728i | ||||
\(189\) | −11.0475 | + | 10.4739i | −0.803590 | + | 0.761861i | ||||
\(190\) | −0.444937 | + | 0.00694269i | −0.0322791 | + | 0.000503676i | ||||
\(191\) | −1.80607 | + | 0.657357i | −0.130683 | + | 0.0475647i | −0.406534 | − | 0.913636i | \(-0.633263\pi\) |
0.275851 | + | 0.961200i | \(0.411040\pi\) | |||||||
\(192\) | 6.25011 | − | 12.3667i | 0.451063 | − | 0.892492i | ||||
\(193\) | −4.79657 | + | 4.02480i | −0.345264 | + | 0.289711i | −0.798885 | − | 0.601484i | \(-0.794577\pi\) |
0.453621 | + | 0.891195i | \(0.350132\pi\) | |||||||
\(194\) | −1.76401 | − | 9.16557i | −0.126648 | − | 0.658050i | ||||
\(195\) | 9.91044 | + | 30.8224i | 0.709701 | + | 2.20724i | ||||
\(196\) | −2.48811 | − | 1.95880i | −0.177722 | − | 0.139914i | ||||
\(197\) | 13.1022 | + | 7.56456i | 0.933494 | + | 0.538953i | 0.887915 | − | 0.460008i | \(-0.152153\pi\) |
0.0455788 | + | 0.998961i | \(0.485487\pi\) | |||||||
\(198\) | −10.1737 | − | 4.41464i | −0.723013 | − | 0.313735i | ||||
\(199\) | 22.4427 | − | 12.9573i | 1.59092 | − | 0.918517i | 0.597769 | − | 0.801669i | \(-0.296054\pi\) |
0.993150 | − | 0.116849i | \(-0.0372792\pi\) | |||||||
\(200\) | 2.47703 | − | 19.2878i | 0.175152 | − | 1.36385i | ||||
\(201\) | 8.27326 | − | 1.13688i | 0.583551 | − | 0.0801893i | ||||
\(202\) | −3.81670 | + | 11.0182i | −0.268542 | + | 0.775240i | ||||
\(203\) | −1.37980 | − | 0.502208i | −0.0968433 | − | 0.0352481i | ||||
\(204\) | 4.55842 | − | 0.772003i | 0.319153 | − | 0.0540510i | ||||
\(205\) | 1.70916 | − | 9.69310i | 0.119373 | − | 0.676996i | ||||
\(206\) | −19.5345 | + | 11.6884i | −1.36104 | + | 0.814368i | ||||
\(207\) | 0.250680 | + | 2.53444i | 0.0174234 | + | 0.176156i | ||||
\(208\) | −9.65561 | + | 19.4305i | −0.669496 | + | 1.34726i | ||||
\(209\) | −0.153421 | + | 0.182841i | −0.0106124 | + | 0.0126473i | ||||
\(210\) | −23.4220 | + | 7.93627i | −1.61627 | + | 0.547654i | ||||
\(211\) | −17.1836 | + | 3.02993i | −1.18297 | + | 0.208589i | −0.730323 | − | 0.683102i | \(-0.760631\pi\) |
−0.452645 | + | 0.891691i | \(0.649519\pi\) | |||||||
\(212\) | −9.82569 | − | 10.9941i | −0.674831 | − | 0.755078i | ||||
\(213\) | 10.9195 | − | 17.3562i | 0.748189 | − | 1.18923i | ||||
\(214\) | 12.8397 | − | 4.90145i | 0.877704 | − | 0.335056i | ||||
\(215\) | −19.5864 | −1.33578 | ||||||||
\(216\) | −8.18544 | + | 12.2065i | −0.556949 | + | 0.830547i | ||||
\(217\) | 19.5224 | 1.32526 | ||||||||
\(218\) | −6.20788 | + | 2.36981i | −0.420450 | + | 0.160504i | ||||
\(219\) | −20.1829 | − | 0.766755i | −1.36383 | − | 0.0518125i | ||||
\(220\) | −12.0054 | − | 13.4330i | −0.809401 | − | 0.905650i | ||||
\(221\) | −7.12956 | + | 1.25713i | −0.479586 | + | 0.0845639i | ||||
\(222\) | −2.64393 | + | 13.2536i | −0.177449 | + | 0.889526i | ||||
\(223\) | −11.3619 | + | 13.5406i | −0.760850 | + | 0.906746i | −0.997901 | − | 0.0647513i | \(-0.979375\pi\) |
0.237051 | + | 0.971497i | \(0.423819\pi\) | |||||||
\(224\) | −14.9548 | − | 7.14277i | −0.999212 | − | 0.477247i | ||||
\(225\) | −5.11245 | + | 19.9822i | −0.340830 | + | 1.33215i | ||||
\(226\) | 0.685010 | − | 0.409872i | 0.0455662 | − | 0.0272643i | ||||
\(227\) | 1.62005 | − | 9.18776i | 0.107527 | − | 0.609813i | −0.882654 | − | 0.470022i | \(-0.844246\pi\) |
0.990181 | − | 0.139791i | \(-0.0446431\pi\) | |||||||
\(228\) | 0.201672 | + | 0.243673i | 0.0133561 | + | 0.0161377i | ||||
\(229\) | −15.8029 | − | 5.75180i | −1.04429 | − | 0.380090i | −0.237784 | − | 0.971318i | \(-0.576421\pi\) |
−0.806504 | + | 0.591228i | \(0.798643\pi\) | |||||||
\(230\) | −1.35419 | + | 3.90934i | −0.0892929 | + | 0.257775i | ||||
\(231\) | −5.00667 | + | 12.2834i | −0.329414 | + | 0.808188i | ||||
\(232\) | −1.40604 | − | 0.180570i | −0.0923109 | − | 0.0118550i | ||||
\(233\) | 15.2659 | − | 8.81379i | 1.00010 | − | 0.577410i | 0.0918250 | − | 0.995775i | \(-0.470730\pi\) |
0.908279 | + | 0.418365i | \(0.137397\pi\) | |||||||
\(234\) | 12.6877 | − | 19.2001i | 0.829422 | − | 1.25515i | ||||
\(235\) | −19.7206 | − | 11.3857i | −1.28643 | − | 0.742722i | ||||
\(236\) | −4.78533 | − | 3.76732i | −0.311498 | − | 0.245231i | ||||
\(237\) | 1.96183 | − | 2.16545i | 0.127435 | − | 0.140661i | ||||
\(238\) | −1.04508 | − | 5.43011i | −0.0677425 | − | 0.351982i | ||||
\(239\) | −7.05862 | + | 5.92289i | −0.456584 | + | 0.383120i | −0.841872 | − | 0.539677i | \(-0.818547\pi\) |
0.385288 | + | 0.922796i | \(0.374102\pi\) | |||||||
\(240\) | −20.3784 | + | 12.4391i | −1.31542 | + | 0.802944i | ||||
\(241\) | −5.85117 | + | 2.12965i | −0.376907 | + | 0.137183i | −0.523525 | − | 0.852010i | \(-0.675383\pi\) |
0.146618 | + | 0.989193i | \(0.453161\pi\) | |||||||
\(242\) | 5.89238 | − | 0.0919433i | 0.378776 | − | 0.00591034i | ||||
\(243\) | 10.2019 | − | 11.7865i | 0.654453 | − | 0.756102i | ||||
\(244\) | −4.84747 | + | 0.151315i | −0.310328 | + | 0.00968692i | ||||
\(245\) | 1.86613 | + | 5.12716i | 0.119223 | + | 0.327562i | ||||
\(246\) | −6.13566 | + | 3.36172i | −0.391195 | + | 0.214336i | ||||
\(247\) | −0.318368 | − | 0.379416i | −0.0202572 | − | 0.0241416i | ||||
\(248\) | 18.3875 | − | 4.13770i | 1.16761 | − | 0.262744i | ||||
\(249\) | 2.77212 | + | 2.51146i | 0.175676 | + | 0.159157i | ||||
\(250\) | −5.76455 | + | 7.09175i | −0.364582 | + | 0.448522i | ||||
\(251\) | 14.1765 | − | 24.5545i | 0.894814 | − | 1.54986i | 0.0607805 | − | 0.998151i | \(-0.480641\pi\) |
0.834034 | − | 0.551713i | \(-0.186026\pi\) | |||||||
\(252\) | 14.8150 | + | 9.46125i | 0.933257 | + | 0.596003i | ||||
\(253\) | 1.10955 | + | 1.92181i | 0.0697571 | + | 0.120823i | ||||
\(254\) | 15.5298 | + | 2.48915i | 0.974427 | + | 0.156183i | ||||
\(255\) | −7.37687 | − | 3.00679i | −0.461958 | − | 0.188292i | ||||
\(256\) | −15.5994 | − | 3.55794i | −0.974962 | − | 0.222371i | ||||
\(257\) | 5.64266 | − | 15.5031i | 0.351979 | − | 0.967056i | −0.629754 | − | 0.776795i | \(-0.716844\pi\) |
0.981734 | − | 0.190261i | \(-0.0609334\pi\) | |||||||
\(258\) | 8.70824 | + | 10.8625i | 0.542151 | + | 0.676272i | ||||
\(259\) | 15.9189 | + | 2.80693i | 0.989151 | + | 0.174414i | ||||
\(260\) | 31.7775 | − | 19.6936i | 1.97076 | − | 1.22135i | ||||
\(261\) | 1.45666 | + | 0.372686i | 0.0901647 | + | 0.0230687i | ||||
\(262\) | 2.13410 | − | 3.83326i | 0.131845 | − | 0.236820i | ||||
\(263\) | 18.5512 | + | 15.5663i | 1.14391 | + | 0.959859i | 0.999560 | − | 0.0296674i | \(-0.00944483\pi\) |
0.144355 | + | 0.989526i | \(0.453889\pi\) | |||||||
\(264\) | −2.11221 | + | 12.6305i | −0.129997 | + | 0.777353i | ||||
\(265\) | 4.41171 | + | 25.0200i | 0.271009 | + | 1.53697i | ||||
\(266\) | 0.285979 | − | 0.247670i | 0.0175345 | − | 0.0151856i | ||||
\(267\) | 0.955153 | − | 25.1420i | 0.0584544 | − | 1.53866i | ||||
\(268\) | −3.57918 | − | 8.95406i | −0.218633 | − | 0.546956i | ||||
\(269\) | 12.1956i | 0.743578i | 0.928317 | + | 0.371789i | \(0.121255\pi\) | ||||
−0.928317 | + | 0.371789i | \(0.878745\pi\) | |||||||
\(270\) | 23.0675 | − | 10.4479i | 1.40384 | − | 0.635837i | ||||
\(271\) | 25.0009i | 1.51870i | 0.650683 | + | 0.759349i | \(0.274483\pi\) | ||||
−0.650683 | + | 0.759349i | \(0.725517\pi\) | |||||||
\(272\) | −2.13522 | − | 4.89296i | −0.129467 | − | 0.296679i | ||||
\(273\) | −23.2981 | − | 14.6578i | −1.41007 | − | 0.887130i | ||||
\(274\) | −15.9875 | − | 18.4604i | −0.965838 | − | 1.11523i | ||||
\(275\) | 3.12079 | + | 17.6989i | 0.188191 | + | 1.06728i | ||||
\(276\) | 2.77019 | − | 0.987089i | 0.166746 | − | 0.0594158i | ||||
\(277\) | −6.69358 | − | 5.61658i | −0.402178 | − | 0.337468i | 0.419157 | − | 0.907914i | \(-0.362326\pi\) |
−0.821335 | + | 0.570446i | \(0.806770\pi\) | |||||||
\(278\) | 13.8267 | + | 7.69775i | 0.829270 | + | 0.461680i | ||||
\(279\) | −19.8935 | + | 1.96766i | −1.19100 | + | 0.117801i | ||||
\(280\) | 15.4194 | + | 24.0349i | 0.921485 | + | 1.43636i | ||||
\(281\) | −21.5554 | − | 3.80080i | −1.28589 | − | 0.226737i | −0.511409 | − | 0.859338i | \(-0.670876\pi\) |
−0.774478 | + | 0.632601i | \(0.781987\pi\) | |||||||
\(282\) | 2.45345 | + | 15.9991i | 0.146101 | + | 0.952735i | ||||
\(283\) | 10.2956 | − | 28.2869i | 0.612010 | − | 1.68148i | −0.113727 | − | 0.993512i | \(-0.536279\pi\) |
0.725737 | − | 0.687972i | \(-0.241499\pi\) | |||||||
\(284\) | −22.4915 | − | 7.40009i | −1.33462 | − | 0.439114i | ||||
\(285\) | −0.0741946 | − | 0.539926i | −0.00439491 | − | 0.0319825i | ||||
\(286\) | 3.17354 | − | 19.7997i | 0.187655 | − | 1.17078i | ||||
\(287\) | 4.18396 | + | 7.24682i | 0.246971 | + | 0.427766i | ||||
\(288\) | 15.9591 | + | 5.77128i | 0.940398 | + | 0.340076i | ||||
\(289\) | −7.60937 | + | 13.1798i | −0.447610 | + | 0.775283i | ||||
\(290\) | 1.89536 | + | 1.54065i | 0.111299 | + | 0.0904700i | ||||
\(291\) | 10.8828 | − | 3.49918i | 0.637960 | − | 0.205126i | ||||
\(292\) | 4.76444 | + | 22.8301i | 0.278818 | + | 1.33603i | ||||
\(293\) | 8.50981 | + | 10.1416i | 0.497148 | + | 0.592478i | 0.955021 | − | 0.296540i | \(-0.0958327\pi\) |
−0.457872 | + | 0.889018i | \(0.651388\pi\) | |||||||
\(294\) | 2.01381 | − | 3.31451i | 0.117448 | − | 0.193306i | ||||
\(295\) | 3.58909 | + | 9.86094i | 0.208965 | + | 0.574126i | ||||
\(296\) | 15.5884 | − | 0.730189i | 0.906059 | − | 0.0424413i | ||||
\(297\) | 3.86381 | − | 13.0215i | 0.224201 | − | 0.755587i | ||||
\(298\) | 0.402716 | + | 25.8089i | 0.0233287 | + | 1.49507i | ||||
\(299\) | −4.32720 | + | 1.57497i | −0.250249 | + | 0.0910831i | ||||
\(300\) | 23.8161 | + | 0.161169i | 1.37502 | + | 0.00930508i | ||||
\(301\) | 12.7560 | − | 10.7036i | 0.735243 | − | 0.616942i | ||||
\(302\) | −26.7324 | + | 5.14492i | −1.53827 | + | 0.296057i | ||||
\(303\) | −13.9600 | − | 3.01204i | −0.801979 | − | 0.173037i | ||||
\(304\) | 0.216862 | − | 0.293885i | 0.0124379 | − | 0.0168555i | ||||
\(305\) | 7.23685 | + | 4.17820i | 0.414381 | + | 0.239243i | ||||
\(306\) | 1.61225 | + | 5.42802i | 0.0921663 | + | 0.310299i | ||||
\(307\) | 11.4064 | − | 6.58546i | 0.650995 | − | 0.375852i | −0.137842 | − | 0.990454i | \(-0.544017\pi\) |
0.788837 | + | 0.614602i | \(0.210683\pi\) | |||||||
\(308\) | 15.1595 | + | 2.18779i | 0.863794 | + | 0.124661i | ||||
\(309\) | −17.0975 | − | 22.0227i | −0.972645 | − | 1.25283i | ||||
\(310\) | −30.6856 | − | 10.6295i | −1.74282 | − | 0.603713i | ||||
\(311\) | 5.80348 | + | 2.11230i | 0.329085 | + | 0.119777i | 0.501279 | − | 0.865286i | \(-0.332863\pi\) |
−0.172193 | + | 0.985063i | \(0.555085\pi\) | |||||||
\(312\) | −25.0505 | − | 8.86777i | −1.41820 | − | 0.502039i | ||||
\(313\) | −3.72249 | + | 21.1113i | −0.210407 | + | 1.19328i | 0.678293 | + | 0.734791i | \(0.262720\pi\) |
−0.888701 | + | 0.458488i | \(0.848391\pi\) | |||||||
\(314\) | −12.2281 | − | 20.4365i | −0.690070 | − | 1.15330i | ||||
\(315\) | −13.1102 | − | 27.3036i | −0.738678 | − | 1.53838i | ||||
\(316\) | −2.97319 | − | 1.59502i | −0.167255 | − | 0.0897269i | ||||
\(317\) | −9.45061 | + | 11.2628i | −0.530799 | + | 0.632582i | −0.963099 | − | 0.269148i | \(-0.913258\pi\) |
0.432300 | + | 0.901730i | \(0.357702\pi\) | |||||||
\(318\) | 11.9145 | − | 13.5708i | 0.668134 | − | 0.761011i | ||||
\(319\) | 1.29021 | − | 0.227498i | 0.0722378 | − | 0.0127375i | ||||
\(320\) | 19.6172 | + | 19.3697i | 1.09663 | + | 1.08280i | ||||
\(321\) | 7.85665 | + | 14.8861i | 0.438515 | + | 0.830862i | ||||
\(322\) | −1.25443 | − | 3.28607i | −0.0699067 | − | 0.183125i | ||||
\(323\) | 0.121865 | 0.00678074 | ||||||||
\(324\) | −16.0503 | − | 8.14793i | −0.891682 | − | 0.452663i | ||||
\(325\) | −37.2939 | −2.06869 | ||||||||
\(326\) | 4.04806 | + | 10.6042i | 0.224201 | + | 0.587311i | ||||
\(327\) | −3.79862 | − | 7.19730i | −0.210064 | − | 0.398011i | ||||
\(328\) | 5.47668 | + | 5.93879i | 0.302399 | + | 0.327915i | ||||
\(329\) | 19.0655 | − | 3.36176i | 1.05111 | − | 0.185340i | ||||
\(330\) | 14.5576 | − | 16.5812i | 0.801368 | − | 0.912766i | ||||
\(331\) | 17.0491 | − | 20.3184i | 0.937106 | − | 1.11680i | −0.0558649 | − | 0.998438i | \(-0.517792\pi\) |
0.992971 | − | 0.118361i | \(-0.0377639\pi\) | |||||||
\(332\) | 2.04188 | − | 3.80616i | 0.112063 | − | 0.208890i | ||||
\(333\) | −16.5044 | − | 1.25583i | −0.904438 | − | 0.0688192i | ||||
\(334\) | 0.948085 | + | 1.58451i | 0.0518769 | + | 0.0867007i | ||||
\(335\) | −2.88516 | + | 16.3626i | −0.157633 | + | 0.893983i | ||||
\(336\) | 6.47410 | − | 19.2376i | 0.353191 | − | 1.04950i | ||||
\(337\) | 14.4992 | + | 5.27727i | 0.789820 | + | 0.287471i | 0.705261 | − | 0.708948i | \(-0.250830\pi\) |
0.0845588 | + | 0.996418i | \(0.473052\pi\) | |||||||
\(338\) | 21.9469 | + | 7.60238i | 1.19375 | + | 0.413515i | ||||
\(339\) | 0.599553 | + | 0.772261i | 0.0325633 | + | 0.0419435i | ||||
\(340\) | −1.31389 | + | 9.10416i | −0.0712557 | + | 0.493742i | ||||
\(341\) | −15.0848 | + | 8.70922i | −0.816888 | + | 0.471631i | ||||
\(342\) | −0.266454 | + | 0.281203i | −0.0144082 | + | 0.0152057i | ||||
\(343\) | 13.7433 | + | 7.93471i | 0.742069 | + | 0.428434i | ||||
\(344\) | 9.74591 | − | 12.7849i | 0.525464 | − | 0.689318i | ||||
\(345\) | −4.95309 | − | 1.06869i | −0.266665 | − | 0.0575365i | ||||
\(346\) | 15.9021 | − | 3.06052i | 0.854903 | − | 0.164535i | ||||
\(347\) | −16.4887 | + | 13.8357i | −0.885162 | + | 0.742739i | −0.967234 | − | 0.253888i | \(-0.918291\pi\) |
0.0820721 | + | 0.996626i | \(0.473846\pi\) | |||||||
\(348\) | 0.0117488 | − | 1.73614i | 0.000629803 | − | 0.0930668i | ||||
\(349\) | −11.8787 | + | 4.32349i | −0.635851 | + | 0.231431i | −0.639776 | − | 0.768561i | \(-0.720973\pi\) |
0.00392469 | + | 0.999992i | \(0.498751\pi\) | |||||||
\(350\) | −0.444436 | − | 28.4826i | −0.0237561 | − | 1.52246i | ||||
\(351\) | 25.2184 | + | 12.5883i | 1.34606 | + | 0.671911i | ||||
\(352\) | 14.7420 | − | 1.15240i | 0.785751 | − | 0.0614231i | ||||
\(353\) | 3.82687 | + | 10.5142i | 0.203684 | + | 0.559617i | 0.998909 | − | 0.0466973i | \(-0.0148696\pi\) |
−0.795225 | + | 0.606314i | \(0.792647\pi\) | |||||||
\(354\) | 3.87310 | − | 6.37473i | 0.205853 | − | 0.338813i | ||||
\(355\) | 26.2239 | + | 31.2524i | 1.39182 | + | 1.65871i | ||||
\(356\) | −28.4397 | + | 5.93510i | −1.50730 | + | 0.314560i | ||||
\(357\) | 6.44747 | − | 2.07308i | 0.341236 | − | 0.109719i | ||||
\(358\) | 23.4985 | + | 19.1009i | 1.24194 | + | 1.00951i | ||||
\(359\) | −16.1699 | + | 28.0070i | −0.853413 | + | 1.47816i | 0.0246959 | + | 0.999695i | \(0.492138\pi\) |
−0.878109 | + | 0.478460i | \(0.841195\pi\) | |||||||
\(360\) | −18.1350 | − | 22.9378i | −0.955800 | − | 1.20893i | ||||
\(361\) | −9.49583 | − | 16.4473i | −0.499781 | − | 0.865645i | ||||
\(362\) | 3.27406 | − | 20.4268i | 0.172081 | − | 1.07361i | ||||
\(363\) | 0.982572 | + | 7.15034i | 0.0515717 | + | 0.375296i | ||||
\(364\) | −9.93353 | + | 30.1916i | −0.520659 | + | 1.58247i | ||||
\(365\) | 13.7439 | − | 37.7610i | 0.719387 | − | 1.97650i | ||||
\(366\) | −0.900337 | − | 5.87118i | −0.0470614 | − | 0.306891i | ||||
\(367\) | 0.656339 | + | 0.115730i | 0.0342606 | + | 0.00604107i | 0.190752 | − | 0.981638i | \(-0.438907\pi\) |
−0.156492 | + | 0.987679i | \(0.550018\pi\) | |||||||
\(368\) | −1.87798 | − | 2.82918i | −0.0978965 | − | 0.147481i | ||||
\(369\) | −4.99391 | − | 6.96290i | −0.259973 | − | 0.362474i | ||||
\(370\) | −23.4932 | − | 13.0794i | −1.22136 | − | 0.679966i | ||||
\(371\) | −16.5461 | − | 13.8838i | −0.859031 | − | 0.720813i | ||||
\(372\) | 7.74794 | + | 21.7440i | 0.401712 | + | 1.12737i | ||||
\(373\) | 3.61725 | + | 20.5144i | 0.187294 | + | 1.06220i | 0.922972 | + | 0.384867i | \(0.125753\pi\) |
−0.735678 | + | 0.677331i | \(0.763136\pi\) | |||||||
\(374\) | 3.22998 | + | 3.72959i | 0.167018 | + | 0.192852i | ||||
\(375\) | −9.47402 | − | 5.96048i | −0.489236 | − | 0.307798i | ||||
\(376\) | 17.2447 | − | 7.20720i | 0.889326 | − | 0.371683i | ||||
\(377\) | 2.71864i | 0.140017i | ||||||||
\(378\) | −9.31356 | + | 19.4102i | −0.479038 | + | 0.998354i | ||||
\(379\) | − | 19.1904i | − | 0.985744i | −0.870102 | − | 0.492872i | \(-0.835947\pi\) | ||
0.870102 | − | 0.492872i | \(-0.164053\pi\) | |||||||
\(380\) | −0.584357 | + | 0.233583i | −0.0299769 | + | 0.0119826i | ||||
\(381\) | −0.731274 | + | 19.2489i | −0.0374643 | + | 0.986153i | ||||
\(382\) | −2.05467 | + | 1.77943i | −0.105126 | + | 0.0910436i | ||||
\(383\) | −1.37744 | − | 7.81186i | −0.0703840 | − | 0.399168i | −0.999564 | − | 0.0295390i | \(-0.990596\pi\) |
0.929180 | − | 0.369629i | \(-0.120515\pi\) | |||||||
\(384\) | 2.02042 | − | 19.4915i | 0.103104 | − | 0.994671i | ||||
\(385\) | −20.2166 | − | 16.9637i | −1.03033 | − | 0.864552i | ||||
\(386\) | −4.30735 | + | 7.73685i | −0.219238 | + | 0.393795i | ||||
\(387\) | −11.9197 | + | 12.1927i | −0.605913 | + | 0.619791i | ||||
\(388\) | −6.95343 | − | 11.2200i | −0.353007 | − | 0.569610i | ||||
\(389\) | −12.1585 | − | 2.14387i | −0.616461 | − | 0.108699i | −0.143307 | − | 0.989678i | \(-0.545774\pi\) |
−0.473154 | + | 0.880980i | \(0.656885\pi\) | |||||||
\(390\) | 28.6396 | + | 35.7246i | 1.45022 | + | 1.80899i | ||||
\(391\) | 0.387517 | − | 1.06469i | 0.0195976 | − | 0.0538438i | ||||
\(392\) | −4.27529 | − | 1.33309i | −0.215935 | − | 0.0673311i | ||||
\(393\) | 4.97585 | + | 2.02814i | 0.250998 | + | 0.102306i | ||||
\(394\) | 21.1262 | + | 3.38615i | 1.06432 | + | 0.170592i | ||||
\(395\) | 2.90676 | + | 5.03465i | 0.146255 | + | 0.253321i | ||||
\(396\) | −15.6683 | − | 0.701454i | −0.787360 | − | 0.0352494i | ||||
\(397\) | 11.5959 | − | 20.0847i | 0.581982 | − | 1.00802i | −0.413263 | − | 0.910612i | \(-0.635611\pi\) |
0.995244 | − | 0.0974099i | \(-0.0310558\pi\) | |||||||
\(398\) | 23.1165 | − | 28.4387i | 1.15872 | − | 1.42550i | ||||
\(399\) | 0.343379 | + | 0.311091i | 0.0171904 | + | 0.0155740i | ||||
\(400\) | −6.45539 | − | 26.7327i | −0.322770 | − | 1.33664i | ||||
\(401\) | 4.36829 | + | 5.20593i | 0.218142 | + | 0.259972i | 0.864007 | − | 0.503480i | \(-0.167947\pi\) |
−0.645865 | + | 0.763452i | \(0.723503\pi\) | |||||||
\(402\) | 10.3574 | − | 5.67480i | 0.516579 | − | 0.283033i | ||||
\(403\) | −12.3624 | − | 33.9655i | −0.615816 | − | 1.69194i | ||||
\(404\) | 0.514503 | + | 16.4825i | 0.0255975 | + | 0.820034i | ||||
\(405\) | 16.1114 | + | 26.5013i | 0.800583 | + | 1.31686i | ||||
\(406\) | −2.07632 | + | 0.0323984i | −0.103046 | + | 0.00160790i | ||||
\(407\) | −13.5526 | + | 4.93275i | −0.671778 | + | 0.244507i | ||||
\(408\) | 5.63329 | − | 3.31909i | 0.278890 | − | 0.164319i | ||||
\(409\) | 13.9170 | − | 11.6777i | 0.688149 | − | 0.577426i | −0.230226 | − | 0.973137i | \(-0.573946\pi\) |
0.918375 | + | 0.395712i | \(0.129502\pi\) | |||||||
\(410\) | −2.63069 | − | 13.6687i | −0.129920 | − | 0.675051i | ||||
\(411\) | 20.0814 | − | 22.1656i | 0.990542 | − | 1.09335i | ||||
\(412\) | −19.9142 | + | 25.2954i | −0.981101 | + | 1.24622i | ||||
\(413\) | −7.72625 | − | 4.46075i | −0.380184 | − | 0.219499i | ||||
\(414\) | 1.60948 | + | 3.22211i | 0.0791018 | + | 0.158358i | ||||
\(415\) | −6.44516 | + | 3.72111i | −0.316380 | + | 0.182662i | ||||
\(416\) | −2.95711 | + | 30.5419i | −0.144984 | + | 1.49744i | ||||
\(417\) | −7.31556 | + | 17.9480i | −0.358244 | + | 0.878919i | ||||
\(418\) | −0.110485 | + | 0.318952i | −0.00540399 | + | 0.0156005i | ||||
\(419\) | −4.62462 | − | 1.68322i | −0.225927 | − | 0.0822309i | 0.226576 | − | 0.973993i | \(-0.427247\pi\) |
−0.452504 | + | 0.891763i | \(0.649469\pi\) | |||||||
\(420\) | −26.9428 | + | 22.2988i | −1.31468 | + | 1.08807i | ||||
\(421\) | −2.04359 | + | 11.5898i | −0.0995984 | + | 0.564851i | 0.893642 | + | 0.448780i | \(0.148141\pi\) |
−0.993241 | + | 0.116071i | \(0.962970\pi\) | |||||||
\(422\) | −21.1751 | + | 12.6700i | −1.03079 | + | 0.616766i | ||||
\(423\) | −19.0891 | + | 5.34728i | −0.928145 | + | 0.259994i | ||||
\(424\) | −18.5269 | − | 9.56988i | −0.899747 | − | 0.464754i | ||||
\(425\) | 5.89823 | − | 7.02924i | 0.286106 | − | 0.340968i | ||||
\(426\) | 5.67316 | − | 28.4387i | 0.274865 | − | 1.37786i | ||||
\(427\) | −6.99642 | + | 1.23366i | −0.338581 | + | 0.0597009i | ||||
\(428\) | 14.4919 | − | 12.9518i | 0.700494 | − | 0.626048i | ||||
\(429\) | 24.5414 | + | 0.932336i | 1.18487 | + | 0.0450136i | ||||
\(430\) | −25.8779 | + | 9.87868i | −1.24794 | + | 0.476392i | ||||
\(431\) | 4.40894 | 0.212371 | 0.106186 | − | 0.994346i | \(-0.466136\pi\) | ||||
0.106186 | + | 0.994346i | \(0.466136\pi\) | |||||||
\(432\) | −4.65823 | + | 20.2559i | −0.224119 | + | 0.974562i | ||||
\(433\) | 28.5232 | 1.37074 | 0.685369 | − | 0.728196i | \(-0.259641\pi\) | ||||
0.685369 | + | 0.728196i | \(0.259641\pi\) | |||||||
\(434\) | 25.7933 | − | 9.84639i | 1.23812 | − | 0.472642i | ||||
\(435\) | −1.59301 | + | 2.53205i | −0.0763792 | + | 0.121402i | ||||
\(436\) | −7.00671 | + | 6.26206i | −0.335561 | + | 0.299898i | ||||
\(437\) | 0.0763379 | − | 0.0134604i | 0.00365174 | − | 0.000643900i | ||||
\(438\) | −27.0527 | + | 9.16647i | −1.29263 | + | 0.437991i | ||||
\(439\) | −3.10907 | + | 3.70524i | −0.148388 | + | 0.176842i | −0.835118 | − | 0.550071i | \(-0.814601\pi\) |
0.686730 | + | 0.726912i | \(0.259045\pi\) | |||||||
\(440\) | −22.6368 | − | 11.6928i | −1.07917 | − | 0.557432i | ||||
\(441\) | 4.32738 | + | 1.95855i | 0.206066 | + | 0.0932643i | ||||
\(442\) | −8.78565 | + | 5.25684i | −0.417891 | + | 0.250042i | ||||
\(443\) | −1.26185 | + | 7.15628i | −0.0599521 | + | 0.340005i | −0.999999 | − | 0.00103872i | \(-0.999669\pi\) |
0.940047 | + | 0.341044i | \(0.110780\pi\) | |||||||
\(444\) | 3.19145 | + | 18.8444i | 0.151460 | + | 0.894318i | ||||
\(445\) | 47.0392 | + | 17.1209i | 2.22987 | + | 0.811607i | ||||
\(446\) | −8.18217 | + | 23.6206i | −0.387437 | + | 1.11847i | ||||
\(447\) | −31.3188 | + | 4.30371i | −1.48133 | + | 0.203558i | ||||
\(448\) | −23.3612 | − | 1.89447i | −1.10371 | − | 0.0895054i | ||||
\(449\) | −5.50442 | + | 3.17798i | −0.259769 | + | 0.149978i | −0.624229 | − | 0.781241i | \(-0.714587\pi\) |
0.364460 | + | 0.931219i | \(0.381254\pi\) | |||||||
\(450\) | 3.32365 | + | 28.9794i | 0.156678 | + | 1.36610i | ||||
\(451\) | −6.46583 | − | 3.73305i | −0.304464 | − | 0.175782i | ||||
\(452\) | 0.698323 | − | 0.887025i | 0.0328463 | − | 0.0417222i | ||||
\(453\) | −10.2057 | − | 31.7408i | −0.479507 | − | 1.49131i | ||||
\(454\) | −2.49354 | − | 12.9561i | −0.117028 | − | 0.608062i | ||||
\(455\) | 41.9518 | − | 35.2017i | 1.96673 | − | 1.65028i | ||||
\(456\) | 0.389353 | + | 0.220229i | 0.0182331 | + | 0.0103132i | ||||
\(457\) | 0.840235 | − | 0.305821i | 0.0393045 | − | 0.0143057i | −0.322293 | − | 0.946640i | \(-0.604454\pi\) |
0.361598 | + | 0.932334i | \(0.382231\pi\) | |||||||
\(458\) | −23.7801 | + | 0.371060i | −1.11117 | + | 0.0173385i | ||||
\(459\) | −6.36110 | + | 2.76233i | −0.296911 | + | 0.128935i | ||||
\(460\) | 0.182549 | + | 5.84810i | 0.00851140 | + | 0.272669i | ||||
\(461\) | −4.48102 | − | 12.3115i | −0.208702 | − | 0.573404i | 0.790537 | − | 0.612415i | \(-0.209802\pi\) |
−0.999239 | + | 0.0390104i | \(0.987579\pi\) | |||||||
\(462\) | −0.419594 | + | 18.7542i | −0.0195213 | + | 0.872525i | ||||
\(463\) | −0.866856 | − | 1.03308i | −0.0402862 | − | 0.0480112i | 0.745525 | − | 0.666478i | \(-0.232199\pi\) |
−0.785811 | + | 0.618466i | \(0.787754\pi\) | |||||||
\(464\) | −1.94875 | + | 0.470583i | −0.0904686 | + | 0.0218463i | ||||
\(465\) | 8.38848 | − | 38.8782i | 0.389006 | − | 1.80294i | ||||
\(466\) | 15.7243 | − | 19.3445i | 0.728412 | − | 0.896118i | ||||
\(467\) | −9.81172 | + | 16.9944i | −0.454032 | + | 0.786407i | −0.998632 | − | 0.0522890i | \(-0.983348\pi\) |
0.544600 | + | 0.838696i | \(0.316682\pi\) | |||||||
\(468\) | 7.07939 | − | 31.7668i | 0.327245 | − | 1.46842i | ||||
\(469\) | −7.06278 | − | 12.2331i | −0.326129 | − | 0.564872i | ||||
\(470\) | −31.7978 | − | 5.09662i | −1.46672 | − | 0.235090i | ||||
\(471\) | 23.0396 | − | 17.8870i | 1.06161 | − | 0.824190i | ||||
\(472\) | −8.22256 | − | 2.56390i | −0.378474 | − | 0.118013i | ||||
\(473\) | −5.08146 | + | 13.9612i | −0.233646 | + | 0.641937i | ||||
\(474\) | 1.49983 | − | 3.85051i | 0.0688897 | − | 0.176860i | ||||
\(475\) | 0.618239 | + | 0.109012i | 0.0283667 | + | 0.00500182i | ||||
\(476\) | −4.11953 | − | 6.64726i | −0.188819 | − | 0.304677i | ||||
\(477\) | 18.2600 | + | 12.4801i | 0.836070 | + | 0.571426i | ||||
\(478\) | −6.33869 | + | 11.3855i | −0.289925 | + | 0.520763i | ||||
\(479\) | 14.6017 | + | 12.2523i | 0.667170 | + | 0.559822i | 0.912226 | − | 0.409687i | \(-0.134362\pi\) |
−0.245056 | + | 0.969509i | \(0.578806\pi\) | |||||||
\(480\) | −20.6505 | + | 26.7130i | −0.942562 | + | 1.21928i | ||||
\(481\) | −5.19697 | − | 29.4735i | −0.236962 | − | 1.34388i | ||||
\(482\) | −6.65655 | + | 5.76486i | −0.303198 | + | 0.262582i | ||||
\(483\) | 3.80981 | − | 2.01075i | 0.173352 | − | 0.0914925i | ||||
\(484\) | 7.73874 | − | 3.09338i | 0.351761 | − | 0.140608i | ||||
\(485\) | 22.7439i | 1.03275i | ||||||||
\(486\) | 7.53428 | − | 20.7180i | 0.341762 | − | 0.939787i | ||||
\(487\) | − | 12.7440i | − | 0.577486i | −0.957407 | − | 0.288743i | \(-0.906763\pi\) | ||
0.957407 | − | 0.288743i | \(-0.0932373\pi\) | |||||||
\(488\) | −6.32825 | + | 2.64481i | −0.286466 | + | 0.119725i | ||||
\(489\) | −12.2943 | + | 6.48872i | −0.555967 | + | 0.293430i | ||||
\(490\) | 5.05152 | + | 5.83288i | 0.228204 | + | 0.263503i | ||||
\(491\) | −4.29474 | − | 24.3567i | −0.193819 | − | 1.09920i | −0.914091 | − | 0.405510i | \(-0.867094\pi\) |
0.720272 | − | 0.693692i | \(-0.244017\pi\) | |||||||
\(492\) | −6.41100 | + | 7.53617i | −0.289030 | + | 0.339757i | ||||
\(493\) | −0.512415 | − | 0.429967i | −0.0230780 | − | 0.0193648i | ||||
\(494\) | −0.611997 | − | 0.340718i | −0.0275350 | − | 0.0153296i | ||||
\(495\) | 22.3107 | + | 15.2486i | 1.00279 | + | 0.685375i | ||||
\(496\) | 22.2070 | − | 14.7408i | 0.997125 | − | 0.661882i | ||||
\(497\) | −34.1576 | − | 6.02290i | −1.53218 | − | 0.270164i | ||||
\(498\) | 4.92927 | + | 1.92003i | 0.220886 | + | 0.0860385i | ||||
\(499\) | −13.5128 | + | 37.1262i | −0.604917 | + | 1.66199i | 0.136251 | + | 0.990674i | \(0.456495\pi\) |
−0.741167 | + | 0.671320i | \(0.765727\pi\) | |||||||
\(500\) | −4.03940 | + | 12.2772i | −0.180647 | + | 0.549052i | ||||
\(501\) | −1.78634 | + | 1.38684i | −0.0798076 | + | 0.0619595i | ||||
\(502\) | 6.34588 | − | 39.5919i | 0.283231 | − | 1.76707i | ||||
\(503\) | −18.2058 | − | 31.5334i | −0.811757 | − | 1.40600i | −0.911633 | − | 0.411005i | \(-0.865178\pi\) |
0.0998757 | − | 0.995000i | \(-0.468155\pi\) | |||||||
\(504\) | 24.3458 | + | 5.02821i | 1.08445 | + | 0.223974i | ||||
\(505\) | 14.2068 | − | 24.6069i | 0.632194 | − | 1.09499i | ||||
\(506\) | 2.43525 | + | 1.97950i | 0.108260 | + | 0.0879997i | ||||
\(507\) | −5.99959 | + | 27.8064i | −0.266451 | + | 1.23493i | ||||
\(508\) | 21.7737 | − | 4.54397i | 0.966051 | − | 0.201606i | ||||
\(509\) | −2.32891 | − | 2.77549i | −0.103227 | − | 0.123021i | 0.711957 | − | 0.702223i | \(-0.247809\pi\) |
−0.815184 | + | 0.579201i | \(0.803364\pi\) | |||||||
\(510\) | −11.2630 | − | 0.251990i | −0.498733 | − | 0.0111583i | ||||
\(511\) | 11.6846 | + | 32.1032i | 0.516897 | + | 1.42016i | ||||
\(512\) | −22.4047 | + | 3.16697i | −0.990157 | + | 0.139961i | ||||
\(513\) | −0.381262 | − | 0.282397i | −0.0168331 | − | 0.0124681i | ||||
\(514\) | −0.364019 | − | 23.3289i | −0.0160562 | − | 1.02899i | ||||
\(515\) | 52.1252 | − | 18.9720i | 2.29691 | − | 0.836008i | ||||
\(516\) | 16.9842 | + | 9.95965i | 0.747686 | + | 0.438449i | ||||
\(517\) | −13.2320 | + | 11.1030i | −0.581944 | + | 0.488309i | ||||
\(518\) | 22.4480 | − | 4.32035i | 0.986309 | − | 0.189825i | ||||
\(519\) | 6.07102 | + | 18.8814i | 0.266488 | + | 0.828803i | ||||
\(520\) | 32.0523 | − | 42.0470i | 1.40558 | − | 1.84388i | ||||
\(521\) | 18.0443 | + | 10.4179i | 0.790534 | + | 0.456415i | 0.840151 | − | 0.542353i | \(-0.182466\pi\) |
−0.0496162 | + | 0.998768i | \(0.515800\pi\) | |||||||
\(522\) | 2.11253 | − | 0.242286i | 0.0924628 | − | 0.0106046i | ||||
\(523\) | −19.0780 | + | 11.0147i | −0.834223 | + | 0.481639i | −0.855296 | − | 0.518139i | \(-0.826625\pi\) |
0.0210733 | + | 0.999778i | \(0.493292\pi\) | |||||||
\(524\) | 0.886245 | − | 6.14094i | 0.0387158 | − | 0.268268i | ||||
\(525\) | 34.5634 | − | 4.74957i | 1.50847 | − | 0.207288i | ||||
\(526\) | 32.3612 | + | 11.2099i | 1.41102 | + | 0.488775i | ||||
\(527\) | 8.35708 | + | 3.04173i | 0.364040 | + | 0.132500i | ||||
\(528\) | 3.57969 | + | 17.7530i | 0.155786 | + | 0.772598i | ||||
\(529\) | −3.86876 | + | 21.9408i | −0.168207 | + | 0.953949i | ||||
\(530\) | 18.4480 | + | 30.8318i | 0.801331 | + | 1.33925i | ||||
\(531\) | 8.32274 | + | 3.76683i | 0.361176 | + | 0.163467i | ||||
\(532\) | 0.252925 | − | 0.471464i | 0.0109657 | − | 0.0204405i | ||||
\(533\) | 9.95873 | − | 11.8684i | 0.431361 | − | 0.514075i | ||||
\(534\) | −11.4188 | − | 33.6998i | −0.494138 | − | 1.45833i | ||||
\(535\) | −32.9802 | + | 5.81531i | −1.42586 | + | 0.251418i | ||||
\(536\) | −9.24499 | − | 10.0251i | −0.399323 | − | 0.433017i | ||||
\(537\) | −19.7501 | + | 31.3922i | −0.852279 | + | 1.35467i | ||||
\(538\) | 6.15102 | + | 16.1130i | 0.265189 | + | 0.694682i | ||||
\(539\) | 4.13879 | 0.178270 | ||||||||
\(540\) | 25.2076 | − | 25.4383i | 1.08476 | − | 1.09469i | ||||
\(541\) | −13.2610 | −0.570135 | −0.285067 | − | 0.958507i | \(-0.592016\pi\) | ||||
−0.285067 | + | 0.958507i | \(0.592016\pi\) | |||||||
\(542\) | 12.6096 | + | 33.0317i | 0.541628 | + | 1.41883i | ||||
\(543\) | 25.3187 | + | 0.961867i | 1.08653 | + | 0.0412777i | ||||
\(544\) | −5.28893 | − | 5.38773i | −0.226761 | − | 0.230997i | ||||
\(545\) | 15.9456 | − | 2.81165i | 0.683036 | − | 0.120438i | ||||
\(546\) | −38.1748 | − | 7.61538i | −1.63373 | − | 0.325908i | ||||
\(547\) | 9.19354 | − | 10.9564i | 0.393087 | − | 0.468463i | −0.532812 | − | 0.846234i | \(-0.678865\pi\) |
0.925899 | + | 0.377770i | \(0.123309\pi\) | |||||||
\(548\) | −30.4337 | − | 16.3267i | −1.30006 | − | 0.697440i | ||||
\(549\) | 7.00510 | − | 1.96228i | 0.298971 | − | 0.0837482i | ||||
\(550\) | 13.0499 | + | 21.8101i | 0.556451 | + | 0.929985i | ||||
\(551\) | 0.00794673 | − | 0.0450681i | 0.000338542 | − | 0.00191997i | ||||
\(552\) | 3.16217 | − | 2.70134i | 0.134591 | − | 0.114977i | ||||
\(553\) | −4.64441 | − | 1.69043i | −0.197500 | − | 0.0718842i | ||||
\(554\) | −11.6765 | − | 4.04472i | −0.496086 | − | 0.171844i | ||||
\(555\) | 12.4300 | − | 30.4959i | 0.527625 | − | 1.29448i | ||||
\(556\) | 22.1505 | + | 3.19671i | 0.939392 | + | 0.135571i | ||||
\(557\) | 6.40425 | − | 3.69750i | 0.271357 | − | 0.156668i | −0.358147 | − | 0.933665i | \(-0.616591\pi\) |
0.629504 | + | 0.776997i | \(0.283258\pi\) | |||||||
\(558\) | −25.2913 | + | 12.6333i | −1.07067 | + | 0.534810i | ||||
\(559\) | −26.6999 | − | 15.4152i | −1.12929 | − | 0.651994i | ||||
\(560\) | 32.4947 | + | 23.9784i | 1.37315 | + | 1.01327i | ||||
\(561\) | −4.05708 | + | 4.47816i | −0.171290 | + | 0.189068i | ||||
\(562\) | −30.3964 | + | 5.85009i | −1.28219 | + | 0.246771i | ||||
\(563\) | −16.2270 | + | 13.6161i | −0.683887 | + | 0.573850i | −0.917139 | − | 0.398567i | \(-0.869508\pi\) |
0.233252 | + | 0.972416i | \(0.425063\pi\) | |||||||
\(564\) | 11.3109 | + | 19.9009i | 0.476276 | + | 0.837980i | ||||
\(565\) | −1.82786 | + | 0.665286i | −0.0768985 | + | 0.0279888i | ||||
\(566\) | −0.664189 | − | 42.5660i | −0.0279180 | − | 1.78918i | ||||
\(567\) | −24.9753 | − | 8.45491i | −1.04886 | − | 0.355073i | ||||
\(568\) | −33.4485 | + | 1.56679i | −1.40347 | + | 0.0657409i | ||||
\(569\) | −1.52428 | − | 4.18793i | −0.0639012 | − | 0.175567i | 0.903633 | − | 0.428308i | \(-0.140890\pi\) |
−0.967534 | + | 0.252741i | \(0.918668\pi\) | |||||||
\(570\) | −0.370347 | − | 0.675939i | −0.0155121 | − | 0.0283120i | ||||
\(571\) | 1.38240 | + | 1.64748i | 0.0578516 | + | 0.0689449i | 0.794194 | − | 0.607664i | \(-0.207893\pi\) |
−0.736343 | + | 0.676609i | \(0.763449\pi\) | |||||||
\(572\) | −5.79332 | − | 27.7603i | −0.242231 | − | 1.16072i | ||||
\(573\) | −2.46707 | − | 2.23509i | −0.103063 | − | 0.0933723i | ||||
\(574\) | 9.18296 | + | 7.46439i | 0.383289 | + | 0.311558i | ||||
\(575\) | 2.91833 | − | 5.05470i | 0.121703 | − | 0.210796i | ||||
\(576\) | 23.9963 | − | 0.424077i | 0.999844 | − | 0.0176699i | ||||
\(577\) | −16.0706 | − | 27.8351i | −0.669028 | − | 1.15879i | −0.978176 | − | 0.207777i | \(-0.933377\pi\) |
0.309148 | − | 0.951014i | \(-0.399956\pi\) | |||||||
\(578\) | −3.40621 | + | 21.2513i | −0.141679 | + | 0.883937i | ||||
\(579\) | −10.0430 | − | 4.09349i | −0.417372 | − | 0.170119i | ||||
\(580\) | 3.28123 | + | 1.07958i | 0.136246 | + | 0.0448271i | ||||
\(581\) | 2.16402 | − | 5.94559i | 0.0897785 | − | 0.246664i | ||||
\(582\) | 12.6137 | − | 10.1121i | 0.522853 | − | 0.419159i | ||||
\(583\) | 18.9789 | + | 3.34648i | 0.786024 | + | 0.138597i | ||||
\(584\) | 17.8096 | + | 27.7606i | 0.736965 | + | 1.14874i | ||||
\(585\) | −39.2014 | + | 40.0993i | −1.62078 | + | 1.65790i | ||||
\(586\) | 16.3584 | + | 9.10721i | 0.675758 | + | 0.376215i | ||||
\(587\) | 27.6154 | + | 23.1721i | 1.13981 | + | 0.956414i | 0.999433 | − | 0.0336838i | \(-0.0107239\pi\) |
0.140378 | + | 0.990098i | \(0.455168\pi\) | |||||||
\(588\) | 0.988953 | − | 5.39489i | 0.0407837 | − | 0.222481i | ||||
\(589\) | 0.105655 | + | 0.599198i | 0.00435343 | + | 0.0246895i | ||||
\(590\) | 9.71547 | + | 11.2182i | 0.399980 | + | 0.461848i | ||||
\(591\) | −0.994798 | + | 26.1855i | −0.0409205 | + | 1.07713i | ||||
\(592\) | 20.2274 | − | 8.82698i | 0.831342 | − | 0.362787i | ||||
\(593\) | 4.09387i | 0.168115i | 0.996461 | + | 0.0840576i | \(0.0267880\pi\) | ||||
−0.996461 | + | 0.0840576i | \(0.973212\pi\) | |||||||
\(594\) | −1.46266 | − | 19.1531i | −0.0600138 | − | 0.785860i | ||||
\(595\) | 13.4745i | 0.552402i | ||||||||
\(596\) | 13.5491 | + | 33.8960i | 0.554995 | + | 1.38844i | ||||
\(597\) | 37.9918 | + | 23.9022i | 1.55490 | + | 0.978251i | ||||
\(598\) | −4.92282 | + | 4.26337i | −0.201309 | + | 0.174342i | ||||
\(599\) | −1.46823 | − | 8.32677i | −0.0599904 | − | 0.340223i | 0.940009 | − | 0.341149i | \(-0.110816\pi\) |
−1.00000 | 0.000926605i | \(0.999705\pi\) | ||||||||
\(600\) | 31.5476 | − | 11.7991i | 1.28792 | − | 0.481695i | ||||
\(601\) | 22.3724 | + | 18.7727i | 0.912590 | + | 0.765754i | 0.972610 | − | 0.232443i | \(-0.0746721\pi\) |
−0.0600202 | + | 0.998197i | \(0.519116\pi\) | |||||||
\(602\) | 11.4550 | − | 20.5754i | 0.466869 | − | 0.838590i | ||||
\(603\) | 8.43004 | + | 11.7538i | 0.343298 | + | 0.478653i | ||||
\(604\) | −32.7244 | + | 20.2804i | −1.33154 | + | 0.825198i | ||||
\(605\) | −14.1417 | − | 2.49356i | −0.574942 | − | 0.101378i | ||||
\(606\) | −19.9633 | + | 3.06135i | −0.810954 | + | 0.124359i | ||||
\(607\) | 13.2715 | − | 36.4633i | 0.538675 | − | 1.48000i | −0.309820 | − | 0.950795i | \(-0.600269\pi\) |
0.848495 | − | 0.529203i | \(-0.177509\pi\) | |||||||
\(608\) | 0.138297 | − | 0.497664i | 0.00560869 | − | 0.0201829i | ||||
\(609\) | −0.346232 | − | 2.51959i | −0.0140300 | − | 0.102099i | ||||
\(610\) | 11.6688 | + | 1.87030i | 0.472455 | + | 0.0757262i | ||||
\(611\) | −17.9220 | − | 31.0417i | −0.725045 | − | 1.25581i | ||||
\(612\) | 4.86783 | + | 6.35843i | 0.196771 | + | 0.257024i | ||||
\(613\) | −0.677216 | + | 1.17297i | −0.0273525 | + | 0.0473759i | −0.879378 | − | 0.476125i | \(-0.842041\pi\) |
0.852025 | + | 0.523501i | \(0.175374\pi\) | |||||||
\(614\) | 11.7488 | − | 14.4538i | 0.474143 | − | 0.583307i | ||||
\(615\) | 16.2296 | − | 5.21838i | 0.654442 | − | 0.210425i | ||||
\(616\) | 21.1325 | − | 4.75539i | 0.851452 | − | 0.191600i | ||||
\(617\) | −14.2746 | − | 17.0118i | −0.574675 | − | 0.684871i | 0.397909 | − | 0.917425i | \(-0.369736\pi\) |
−0.972583 | + | 0.232554i | \(0.925292\pi\) | |||||||
\(618\) | −33.6970 | − | 20.4734i | −1.35549 | − | 0.823559i | ||||
\(619\) | −0.757138 | − | 2.08022i | −0.0304320 | − | 0.0836111i | 0.923546 | − | 0.383487i | \(-0.125277\pi\) |
−0.953978 | + | 0.299876i | \(0.903055\pi\) | |||||||
\(620\) | −45.9034 | + | 1.43288i | −1.84353 | + | 0.0575459i | ||||
\(621\) | −3.67958 | + | 2.43297i | −0.147656 | + | 0.0976319i | ||||
\(622\) | 8.73303 | − | 0.136268i | 0.350163 | − | 0.00546386i | ||||
\(623\) | −39.9913 | + | 14.5556i | −1.60222 | + | 0.583160i | ||||
\(624\) | −37.5697 | + | 0.918308i | −1.50399 | + | 0.0367617i | ||||
\(625\) | −9.27445 | + | 7.78219i | −0.370978 | + | 0.311287i | ||||
\(626\) | 5.72956 | + | 29.7701i | 0.228999 | + | 1.18985i | ||||
\(627\) | −0.404109 | − | 0.0871916i | −0.0161386 | − | 0.00348210i | ||||
\(628\) | −26.4634 | − | 20.8337i | −1.05601 | − | 0.831355i | ||||
\(629\) | 6.37717 | + | 3.68186i | 0.254274 | + | 0.146805i | ||||
\(630\) | −31.0924 | − | 29.4616i | −1.23875 | − | 1.17378i | ||||
\(631\) | −10.3534 | + | 5.97752i | −0.412161 | + | 0.237961i | −0.691718 | − | 0.722168i | \(-0.743146\pi\) |
0.279557 | + | 0.960129i | \(0.409813\pi\) | |||||||
\(632\) | −4.73271 | − | 0.607796i | −0.188257 | − | 0.0241768i | ||||
\(633\) | −18.5334 | − | 23.8722i | −0.736638 | − | 0.948835i | ||||
\(634\) | −6.80576 | + | 19.6472i | −0.270291 | + | 0.780288i | ||||
\(635\) | −36.0136 | − | 13.1079i | −1.42916 | − | 0.520171i | ||||
\(636\) | 8.89708 | − | 23.9392i | 0.352792 | − | 0.949251i | ||||
\(637\) | −1.49137 | + | 8.45799i | −0.0590903 | + | 0.335118i | ||||
\(638\) | 1.58990 | − | 0.951310i | 0.0629449 | − | 0.0376627i | ||||
\(639\) | 35.4140 | + | 2.69467i | 1.40096 | + | 0.106600i | ||||
\(640\) | 35.6879 | + | 15.6973i | 1.41069 | + | 0.620492i | ||||
\(641\) | 8.66598 | − | 10.3277i | 0.342286 | − | 0.407920i | −0.567250 | − | 0.823545i | \(-0.691993\pi\) |
0.909536 | + | 0.415625i | \(0.136437\pi\) | |||||||
\(642\) | 17.8884 | + | 15.7052i | 0.705997 | + | 0.619834i | ||||
\(643\) | 27.1966 | − | 4.79550i | 1.07253 | − | 0.189116i | 0.390620 | − | 0.920552i | \(-0.372261\pi\) |
0.681910 | + | 0.731436i | \(0.261150\pi\) | |||||||
\(644\) | −3.31475 | − | 3.70892i | −0.130620 | − | 0.146152i | ||||
\(645\) | −15.8348 | − | 30.0024i | −0.623493 | − | 1.18134i | ||||
\(646\) | 0.161010 | − | 0.0614643i | 0.00633485 | − | 0.00241828i | ||||
\(647\) | −15.2634 | −0.600064 | −0.300032 | − | 0.953929i | \(-0.596997\pi\) | ||||
−0.300032 | + | 0.953929i | \(0.596997\pi\) | |||||||
\(648\) | −25.3154 | − | 2.67000i | −0.994484 | − | 0.104888i | ||||
\(649\) | 7.96003 | 0.312458 | ||||||||
\(650\) | −49.2733 | + | 18.8097i | −1.93266 | + | 0.737777i | ||||
\(651\) | 15.7830 | + | 29.9043i | 0.618584 | + | 1.17204i | ||||
\(652\) | 10.6967 | + | 11.9687i | 0.418917 | + | 0.468732i | ||||
\(653\) | −30.1302 | + | 5.31277i | −1.17909 | + | 0.207905i | −0.728639 | − | 0.684898i | \(-0.759847\pi\) |
−0.450448 | + | 0.892803i | \(0.648736\pi\) | |||||||
\(654\) | −8.64886 | − | 7.59331i | −0.338197 | − | 0.296922i | ||||
\(655\) | −6.87180 | + | 8.18949i | −0.268503 | + | 0.319990i | ||||
\(656\) | 10.2312 | + | 5.08419i | 0.399461 | + | 0.198504i | ||||
\(657\) | −15.1425 | − | 31.5359i | −0.590764 | − | 1.23033i | ||||
\(658\) | 23.4941 | − | 14.0576i | 0.915895 | − | 0.548021i | ||||
\(659\) | 7.25464 | − | 41.1431i | 0.282601 | − | 1.60271i | −0.431132 | − | 0.902289i | \(-0.641886\pi\) |
0.713732 | − | 0.700418i | \(-0.247003\pi\) | |||||||
\(660\) | 10.8707 | − | 29.2497i | 0.423143 | − | 1.13854i | ||||
\(661\) | −30.7435 | − | 11.1897i | −1.19578 | − | 0.435230i | −0.334033 | − | 0.942561i | \(-0.608410\pi\) |
−0.861751 | + | 0.507331i | \(0.830632\pi\) | |||||||
\(662\) | 12.2778 | − | 35.4440i | 0.477189 | − | 1.37757i | ||||
\(663\) | −7.68961 | − | 9.90469i | −0.298640 | − | 0.384666i | ||||
\(664\) | 0.778076 | − | 6.05862i | 0.0301952 | − | 0.235120i | ||||
\(665\) | −0.798352 | + | 0.460929i | −0.0309588 | + | 0.0178741i | ||||
\(666\) | −22.4394 | + | 6.66502i | −0.869508 | + | 0.258264i | ||||
\(667\) | −0.368476 | − | 0.212740i | −0.0142674 | − | 0.00823731i | ||||
\(668\) | 2.05180 | + | 1.61531i | 0.0793865 | + | 0.0624981i | ||||
\(669\) | −29.9271 | − | 6.45714i | −1.15705 | − | 0.249647i | ||||
\(670\) | 4.44077 | + | 23.0737i | 0.171562 | + | 0.891415i | ||||
\(671\) | 4.85574 | − | 4.07445i | 0.187454 | − | 0.157292i | ||||
\(672\) | −1.14907 | − | 28.6824i | −0.0443262 | − | 1.10645i | ||||
\(673\) | −26.6470 | + | 9.69872i | −1.02717 | + | 0.373858i | −0.800002 | − | 0.599998i | \(-0.795168\pi\) |
−0.227166 | + | 0.973856i | \(0.572946\pi\) | |||||||
\(674\) | 21.8182 | − | 0.340446i | 0.840407 | − | 0.0131135i | ||||
\(675\) | −34.7418 | + | 8.32351i | −1.33721 | + | 0.320372i | ||||
\(676\) | 32.8310 | − | 1.02482i | 1.26273 | − | 0.0394163i | ||||
\(677\) | 13.7737 | + | 37.8429i | 0.529366 | + | 1.45442i | 0.859819 | + | 0.510599i | \(0.170576\pi\) |
−0.330453 | + | 0.943822i | \(0.607201\pi\) | |||||||
\(678\) | 1.18164 | + | 0.717932i | 0.0453807 | + | 0.0275720i | ||||
\(679\) | −12.4290 | − | 14.8124i | −0.476983 | − | 0.568446i | ||||
\(680\) | 2.85588 | + | 12.6913i | 0.109518 | + | 0.486687i | ||||
\(681\) | 15.3835 | − | 4.94632i | 0.589498 | − | 0.189543i | ||||
\(682\) | −15.5377 | + | 19.1150i | −0.594969 | + | 0.731952i | ||||
\(683\) | −2.35647 | + | 4.08153i | −0.0901678 | + | 0.156175i | −0.907582 | − | 0.419876i | \(-0.862074\pi\) |
0.817414 | + | 0.576051i | \(0.195407\pi\) | |||||||
\(684\) | −0.210215 | + | 0.505920i | −0.00803776 | + | 0.0193443i | ||||
\(685\) | 29.7536 | + | 51.5348i | 1.13683 | + | 1.96904i | ||||
\(686\) | 22.1599 | + | 3.55184i | 0.846069 | + | 0.135610i | ||||
\(687\) | −3.96541 | − | 28.8570i | −0.151290 | − | 1.10096i | ||||
\(688\) | 6.42820 | − | 21.8072i | 0.245073 | − | 0.831391i | ||||
\(689\) | −13.6777 | + | 37.5792i | −0.521079 | + | 1.43165i | ||||
\(690\) | −7.08312 | + | 1.08619i | −0.269650 | + | 0.0413505i | ||||
\(691\) | −47.8656 | − | 8.44000i | −1.82089 | − | 0.321073i | −0.844251 | − | 0.535947i | \(-0.819955\pi\) |
−0.976642 | + | 0.214875i | \(0.931066\pi\) | |||||||
\(692\) | 19.4665 | − | 12.0641i | 0.740006 | − | 0.458607i | ||||
\(693\) | −22.8633 | + | 2.26140i | −0.868505 | + | 0.0859033i | ||||
\(694\) | −14.8070 | + | 26.5963i | −0.562065 | + | 1.00958i | ||||
\(695\) | −29.5397 | − | 24.7868i | −1.12051 | − | 0.940216i | ||||
\(696\) | −0.860124 | − | 2.29974i | −0.0326029 | − | 0.0871716i | ||||
\(697\) | 0.661948 | + | 3.75409i | 0.0250731 | + | 0.142196i | ||||
\(698\) | −13.5137 | + | 11.7035i | −0.511502 | + | 0.442982i | ||||
\(699\) | 25.8428 | + | 16.2587i | 0.977463 | + | 0.614961i | ||||
\(700\) | −14.9528 | − | 37.4076i | −0.565164 | − | 1.41387i | ||||
\(701\) | − | 5.10945i | − | 0.192981i | −0.995334 | − | 0.0964906i | \(-0.969238\pi\) | ||
0.995334 | − | 0.0964906i | \(-0.0307618\pi\) | |||||||
\(702\) | 39.6681 | + | 3.91254i | 1.49718 | + | 0.147669i | ||||
\(703\) | 0.503788i | 0.0190007i | ||||||||
\(704\) | 18.8962 | − | 8.95791i | 0.712176 | − | 0.337614i | ||||
\(705\) | 1.49731 | − | 39.4128i | 0.0563919 | − | 1.48437i | ||||
\(706\) | 10.3591 | + | 11.9615i | 0.389871 | + | 0.450176i | ||||
\(707\) | 4.19471 | + | 23.7894i | 0.157758 | + | 0.894692i | ||||
\(708\) | 1.90203 | − | 10.3759i | 0.0714826 | − | 0.389949i | ||||
\(709\) | −7.00392 | − | 5.87699i | −0.263038 | − | 0.220715i | 0.501725 | − | 0.865027i | \(-0.332699\pi\) |
−0.764762 | + | 0.644313i | \(0.777144\pi\) | |||||||
\(710\) | 50.4101 | + | 28.0649i | 1.89186 | + | 1.05326i | ||||
\(711\) | 4.90309 | + | 1.25446i | 0.183880 | + | 0.0470458i | ||||
\(712\) | −34.5816 | + | 22.1855i | −1.29600 | + | 0.831438i | ||||
\(713\) | 5.57097 | + | 0.982312i | 0.208634 | + | 0.0367879i | ||||
\(714\) | 7.47292 | − | 5.99086i | 0.279667 | − | 0.224202i | ||||
\(715\) | −16.7119 | + | 45.9155i | −0.624988 | + | 1.71714i | ||||
\(716\) | 40.6805 | + | 13.3846i | 1.52030 | + | 0.500205i | ||||
\(717\) | −14.7792 | − | 6.02397i | −0.551941 | − | 0.224969i | ||||
\(718\) | −7.23817 | + | 45.1589i | −0.270126 | + | 1.68532i | ||||
\(719\) | 11.2528 | + | 19.4904i | 0.419658 | + | 0.726869i | 0.995905 | − | 0.0904064i | \(-0.0288166\pi\) |
−0.576247 | + | 0.817276i | \(0.695483\pi\) | |||||||
\(720\) | −35.5293 | − | 21.1591i | −1.32410 | − | 0.788553i | ||||
\(721\) | −23.5797 | + | 40.8412i | −0.878153 | + | 1.52101i | ||||
\(722\) | −20.8415 | − | 16.9411i | −0.775639 | − | 0.630481i | ||||
\(723\) | −7.99261 | − | 7.24107i | −0.297248 | − | 0.269298i | ||||
\(724\) | −5.97682 | − | 28.6396i | −0.222127 | − | 1.06438i | ||||
\(725\) | −2.21494 | − | 2.63966i | −0.0822608 | − | 0.0980346i | ||||
\(726\) | 4.90457 | + | 8.95158i | 0.182026 | + | 0.332224i | ||||
\(727\) | −5.99428 | − | 16.4691i | −0.222316 | − | 0.610807i | 0.777522 | − | 0.628856i | \(-0.216477\pi\) |
−0.999837 | + | 0.0180494i | \(0.994254\pi\) | |||||||
\(728\) | 2.10318 | + | 44.8997i | 0.0779491 | + | 1.66409i | ||||
\(729\) | 26.3023 | + | 6.09840i | 0.974158 | + | 0.225867i | ||||
\(730\) | −0.886643 | − | 56.8224i | −0.0328161 | − | 2.10309i | ||||
\(731\) | 7.12825 | − | 2.59447i | 0.263648 | − | 0.0959599i | ||||
\(732\) | −4.15076 | − | 7.30301i | −0.153416 | − | 0.269927i | ||||
\(733\) | −17.2190 | + | 14.4484i | −0.635998 | + | 0.533666i | −0.902786 | − | 0.430089i | \(-0.858482\pi\) |
0.266788 | + | 0.963755i | \(0.414038\pi\) | |||||||
\(734\) | 0.925538 | − | 0.178129i | 0.0341622 | − | 0.00657487i | ||||
\(735\) | −6.34507 | + | 7.00362i | −0.234041 | + | 0.258332i | ||||
\(736\) | −3.90816 | − | 2.79077i | −0.144057 | − | 0.102869i | ||||
\(737\) | 10.9147 | + | 6.30162i | 0.402049 | + | 0.232123i | ||||
\(738\) | −10.1099 | − | 6.68076i | −0.372150 | − | 0.245922i | ||||
\(739\) | −7.76664 | + | 4.48407i | −0.285700 | + | 0.164949i | −0.636001 | − | 0.771688i | \(-0.719413\pi\) |
0.350301 | + | 0.936637i | \(0.386079\pi\) | |||||||
\(740\) | −37.6365 | − | 5.43160i | −1.38354 | − | 0.199670i | ||||
\(741\) | 0.323801 | − | 0.794415i | 0.0118951 | − | 0.0291836i | ||||
\(742\) | −28.8635 | − | 9.99830i | −1.05961 | − | 0.367049i | ||||
\(743\) | 44.6168 | + | 16.2392i | 1.63683 | + | 0.595758i | 0.986481 | − | 0.163875i | \(-0.0523994\pi\) |
0.650352 | + | 0.759633i | \(0.274622\pi\) | |||||||
\(744\) | 21.2036 | + | 24.8208i | 0.777363 | + | 0.909974i | ||||
\(745\) | 10.9219 | − | 61.9413i | 0.400148 | − | 2.26935i | ||||
\(746\) | 15.1259 | + | 25.2796i | 0.553800 | + | 0.925554i | ||||
\(747\) | −1.60590 | + | 6.27674i | −0.0587570 | + | 0.229654i | ||||
\(748\) | 6.14858 | + | 3.29851i | 0.224814 | + | 0.120605i | ||||
\(749\) | 18.3010 | − | 21.8103i | 0.668705 | − | 0.796932i | ||||
\(750\) | −15.5235 | − | 3.09674i | −0.566838 | − | 0.113077i | ||||
\(751\) | 13.7230 | − | 2.41974i | 0.500761 | − | 0.0882976i | 0.0824383 | − | 0.996596i | \(-0.473729\pi\) |
0.418323 | + | 0.908299i | \(0.362618\pi\) | |||||||
\(752\) | 19.1489 | − | 18.2199i | 0.698289 | − | 0.664411i | ||||
\(753\) | 49.0735 | + | 1.86432i | 1.78834 | + | 0.0679397i | ||||
\(754\) | 1.37118 | + | 3.59191i | 0.0499355 | + | 0.130810i | ||||
\(755\) | 66.3349 | 2.41418 | ||||||||
\(756\) | −2.51541 | + | 30.3426i | −0.0914847 | + | 1.10355i | ||||
\(757\) | 12.8098 | 0.465582 | 0.232791 | − | 0.972527i | \(-0.425214\pi\) | ||||
0.232791 | + | 0.972527i | \(0.425214\pi\) | |||||||
\(758\) | −9.67895 | − | 25.3547i | −0.351555 | − | 0.920924i | ||||
\(759\) | −2.04679 | + | 3.25331i | −0.0742936 | + | 0.118088i | ||||
\(760\) | −0.654252 | + | 0.603343i | −0.0237322 | + | 0.0218855i | ||||
\(761\) | 30.5200 | − | 5.38149i | 1.10635 | − | 0.195079i | 0.409508 | − | 0.912306i | \(-0.365700\pi\) |
0.696839 | + | 0.717227i | \(0.254589\pi\) | |||||||
\(762\) | 8.74230 | + | 25.8009i | 0.316700 | + | 0.934666i | ||||
\(763\) | −8.84838 | + | 10.5451i | −0.320333 | + | 0.381758i | ||||
\(764\) | −1.81718 | + | 3.38732i | −0.0657434 | + | 0.122549i | ||||
\(765\) | −1.35810 | − | 13.7307i | −0.0491021 | − | 0.496435i | ||||
\(766\) | −5.75993 | − | 9.62644i | −0.208115 | − | 0.347817i | ||||
\(767\) | −2.86832 | + | 16.2671i | −0.103569 | + | 0.587369i | ||||
\(768\) | −7.16140 | − | 26.7715i | −0.258415 | − | 0.966034i | ||||
\(769\) | −16.0889 | − | 5.85587i | −0.580179 | − | 0.211168i | 0.0352254 | − | 0.999379i | \(-0.488785\pi\) |
−0.615404 | + | 0.788211i | \(0.711007\pi\) | |||||||
\(770\) | −35.2664 | − | 12.2163i | −1.27091 | − | 0.440243i | ||||
\(771\) | 28.3094 | − | 3.89017i | 1.01954 | − | 0.140101i | ||||
\(772\) | −1.78875 | + | 12.3945i | −0.0643785 | + | 0.446089i | ||||
\(773\) | 37.1476 | − | 21.4472i | 1.33610 | − | 0.771401i | 0.349877 | − | 0.936795i | \(-0.386223\pi\) |
0.986227 | + | 0.165395i | \(0.0528899\pi\) | |||||||
\(774\) | −9.59896 | + | 22.1211i | −0.345027 | + | 0.795128i | ||||
\(775\) | 39.6758 | + | 22.9068i | 1.42520 | + | 0.822838i | ||||
\(776\) | −14.8460 | − | 11.3170i | −0.532939 | − | 0.406257i | ||||
\(777\) | 8.57008 | + | 26.6537i | 0.307450 | + | 0.956198i | ||||
\(778\) | −17.1453 | + | 3.29980i | −0.614690 | + | 0.118303i | ||||
\(779\) | −0.199783 | + | 0.167638i | −0.00715795 | + | 0.00600624i | ||||
\(780\) | 55.8573 | + | 32.7552i | 2.00001 | + | 1.17282i | ||||
\(781\) | 29.0802 | − | 10.5843i | 1.04057 | − | 0.378737i | ||||
\(782\) | −0.0249994 | − | 1.60214i | −0.000893978 | − | 0.0572924i | ||||
\(783\) | 0.606764 | + | 2.53260i | 0.0216840 | + | 0.0905077i | ||||
\(784\) | −6.32095 | + | 0.395004i | −0.225748 | + | 0.0141073i | ||||
\(785\) | 19.8481 | + | 54.5321i | 0.708408 | + | 1.94633i | ||||
\(786\) | 7.59710 | + | 0.169973i | 0.270980 | + | 0.00606272i | ||||
\(787\) | 3.83079 | + | 4.56536i | 0.136553 | + | 0.162737i | 0.829987 | − | 0.557783i | \(-0.188348\pi\) |
−0.693434 | + | 0.720520i | \(0.743903\pi\) | |||||||
\(788\) | 29.6201 | − | 6.18145i | 1.05517 | − | 0.220205i | ||||
\(789\) | −8.84655 | + | 41.0013i | −0.314945 | + | 1.45968i | ||||
\(790\) | 6.37976 | + | 5.18580i | 0.226982 | + | 0.184503i | ||||
\(791\) | 0.826860 | − | 1.43216i | 0.0293998 | − | 0.0509219i | ||||
\(792\) | −21.0550 | + | 6.97574i | −0.748156 | + | 0.247872i | ||||
\(793\) | 6.57679 | + | 11.3913i | 0.233549 | + | 0.404518i | ||||
\(794\) | 5.19071 | − | 32.3848i | 0.184211 | − | 1.14929i | ||||
\(795\) | −34.7589 | + | 26.9854i | −1.23277 | + | 0.957075i | ||||
\(796\) | 16.1984 | − | 49.2328i | 0.574138 | − | 1.74501i | ||||
\(797\) | 14.1501 | − | 38.8770i | 0.501221 | − | 1.37709i | −0.388863 | − | 0.921296i | \(-0.627132\pi\) |
0.890084 | − | 0.455797i | \(-0.150646\pi\) | |||||||
\(798\) | 0.610582 | + | 0.237831i | 0.0216144 | + | 0.00841913i | ||||
\(799\) | 8.68528 | + | 1.53145i | 0.307263 | + | 0.0541788i | ||||
\(800\) | −22.0120 | − | 32.0639i | −0.778243 | − | 1.13363i | ||||
\(801\) | 39.2846 | − | 18.8631i | 1.38805 | − | 0.666495i | ||||
\(802\) | 8.39715 | + | 4.67495i | 0.296514 | + | 0.165078i | ||||
\(803\) | −23.3504 | − | 19.5933i | −0.824016 | − | 0.691432i | ||||
\(804\) | 10.8222 | − | 12.7215i | 0.381669 | − | 0.448654i | ||||
\(805\) | 1.48831 | + | 8.44064i | 0.0524561 | + | 0.297494i | ||||
\(806\) | −33.4644 | − | 38.6406i | −1.17873 | − | 1.36106i | ||||
\(807\) | −18.6811 | + | 9.85960i | −0.657607 | + | 0.347074i | ||||
\(808\) | 8.99295 | + | 21.5175i | 0.316371 | + | 0.756982i | ||||
\(809\) | − | 45.8780i | − | 1.61298i | −0.591245 | − | 0.806492i | \(-0.701363\pi\) | ||
0.591245 | − | 0.806492i | \(-0.298637\pi\) | |||||||
\(810\) | 34.6530 | + | 26.8880i | 1.21758 | + | 0.944747i | ||||
\(811\) | − | 25.4302i | − | 0.892974i | −0.894790 | − | 0.446487i | \(-0.852675\pi\) | ||
0.894790 | − | 0.446487i | \(-0.147325\pi\) | |||||||
\(812\) | −2.72693 | + | 1.09003i | −0.0956964 | + | 0.0382524i | ||||
\(813\) | −38.2963 | + | 20.2122i | −1.34311 | + | 0.708872i | ||||
\(814\) | −15.4181 | + | 13.3527i | −0.540403 | + | 0.468012i | ||||
\(815\) | −4.80280 | − | 27.2380i | −0.168235 | − | 0.954107i | ||||
\(816\) | 5.76878 | − | 7.22647i | 0.201948 | − | 0.252977i | ||||
\(817\) | 0.397558 | + | 0.333591i | 0.0139088 | + | 0.0116709i | ||||
\(818\) | 12.4975 | − | 22.4480i | 0.436965 | − | 0.784877i | ||||
\(819\) | 3.61721 | − | 47.5382i | 0.126395 | − | 1.66112i | ||||
\(820\) | −10.3697 | − | 16.7326i | −0.362127 | − | 0.584326i | ||||
\(821\) | −7.72253 | − | 1.36169i | −0.269518 | − | 0.0475233i | 0.0372556 | − | 0.999306i | \(-0.488138\pi\) |
−0.306774 | + | 0.951782i | \(0.599250\pi\) | |||||||
\(822\) | 15.3523 | − | 39.4139i | 0.535474 | − | 1.37472i | ||||
\(823\) | 2.99728 | − | 8.23497i | 0.104479 | − | 0.287053i | −0.876428 | − | 0.481534i | \(-0.840080\pi\) |
0.980906 | + | 0.194481i | \(0.0623021\pi\) | |||||||
\(824\) | −13.5528 | + | 43.4647i | −0.472136 | + | 1.51417i | ||||
\(825\) | −24.5881 | + | 19.0892i | −0.856046 | + | 0.664601i | ||||
\(826\) | −12.4579 | − | 1.99678i | −0.433466 | − | 0.0694769i | ||||
\(827\) | 9.57006 | + | 16.5758i | 0.332784 | + | 0.576398i | 0.983057 | − | 0.183303i | \(-0.0586788\pi\) |
−0.650273 | + | 0.759701i | \(0.725345\pi\) | |||||||
\(828\) | 3.75160 | + | 3.44535i | 0.130377 | + | 0.119734i | ||||
\(829\) | −0.0258029 | + | 0.0446919i | −0.000896172 | + | 0.00155222i | −0.866473 | − | 0.499224i | \(-0.833619\pi\) |
0.865577 | + | 0.500776i | \(0.166952\pi\) | |||||||
\(830\) | −6.63866 | + | 8.16711i | −0.230431 | + | 0.283485i | ||||
\(831\) | 3.19198 | − | 14.7940i | 0.110729 | − | 0.513197i | ||||
\(832\) | 11.4973 | + | 41.8440i | 0.398596 | + | 1.45068i | ||||
\(833\) | −1.35831 | − | 1.61878i | −0.0470628 | − | 0.0560873i | ||||
\(834\) | −0.613096 | + | 27.4030i | −0.0212298 | + | 0.948887i | ||||
\(835\) | −1.53889 | − | 4.22806i | −0.0532554 | − | 0.146318i | ||||
\(836\) | 0.0148937 | + | 0.477130i | 0.000515109 | + | 0.0165019i | ||||
\(837\) | −19.0971 | − | 28.8821i | −0.660093 | − | 0.998310i | ||||
\(838\) | −6.95909 | + | 0.108588i | −0.240398 | + | 0.00375111i | ||||
\(839\) | 10.1094 | − | 3.67952i | 0.349015 | − | 0.127031i | −0.161563 | − | 0.986862i | \(-0.551654\pi\) |
0.510578 | + | 0.859831i | \(0.329431\pi\) | |||||||
\(840\) | −24.3506 | + | 43.0505i | −0.840177 | + | 1.48539i | ||||
\(841\) | 22.0229 | − | 18.4794i | 0.759409 | − | 0.637220i | ||||
\(842\) | 3.14544 | + | 16.3433i | 0.108399 | + | 0.563228i | ||||
\(843\) | −11.6046 | − | 36.0912i | −0.399682 | − | 1.24305i | ||||
\(844\) | −21.5866 | + | 27.4198i | −0.743042 | + | 0.943828i | ||||
\(845\) | −49.0137 | − | 28.2981i | −1.68612 | − | 0.973484i | ||||
\(846\) | −22.5239 | + | 16.6928i | −0.774388 | + | 0.573910i | ||||
\(847\) | 10.5727 | − | 6.10416i | 0.363283 | − | 0.209741i | ||||
\(848\) | −29.3048 | − | 3.29958i | −1.00633 | − | 0.113308i | ||||
\(849\) | 51.6534 | − | 7.09800i | 1.77274 | − | 0.243603i | ||||
\(850\) | 4.24755 | − | 12.2620i | 0.145690 | − | 0.420584i | ||||
\(851\) | 4.40143 | + | 1.60199i | 0.150879 | + | 0.0549155i | ||||
\(852\) | −6.84798 | − | 40.4350i | −0.234608 | − | 1.38528i | ||||
\(853\) | 6.86844 | − | 38.9529i | 0.235171 | − | 1.33372i | −0.607083 | − | 0.794639i | \(-0.707660\pi\) |
0.842254 | − | 0.539082i | \(-0.181229\pi\) | |||||||
\(854\) | −8.62159 | + | 5.15868i | −0.295025 | + | 0.176526i | ||||
\(855\) | 0.767074 | − | 0.550158i | 0.0262334 | − | 0.0188150i | ||||
\(856\) | 12.6146 | − | 24.4213i | 0.431157 | − | 0.834704i | ||||
\(857\) | −6.59420 | + | 7.85866i | −0.225253 | + | 0.268447i | −0.866820 | − | 0.498620i | \(-0.833840\pi\) |
0.641567 | + | 0.767067i | \(0.278285\pi\) | |||||||
\(858\) | 32.8947 | − | 11.1460i | 1.12301 | − | 0.380517i | ||||
\(859\) | 3.49071 | − | 0.615507i | 0.119102 | − | 0.0210008i | −0.113780 | − | 0.993506i | \(-0.536296\pi\) |
0.232881 | + | 0.972505i | \(0.425185\pi\) | |||||||
\(860\) | −29.2079 | + | 26.1038i | −0.995981 | + | 0.890132i | ||||
\(861\) | −7.71811 | + | 12.2677i | −0.263032 | + | 0.418082i | ||||
\(862\) | 5.82517 | − | 2.22371i | 0.198406 | − | 0.0757400i | ||||
\(863\) | −6.36151 | −0.216548 | −0.108274 | − | 0.994121i | \(-0.534532\pi\) | ||||
−0.108274 | + | 0.994121i | \(0.534532\pi\) | |||||||
\(864\) | 4.06181 | + | 29.1119i | 0.138185 | + | 0.990406i | ||||
\(865\) | −39.4602 | −1.34169 | ||||||||
\(866\) | 37.6854 | − | 14.3861i | 1.28060 | − | 0.488860i | ||||
\(867\) | −26.3406 | − | 1.00069i | −0.894574 | − | 0.0339852i | ||||
\(868\) | 29.1124 | − | 26.0184i | 0.988139 | − | 0.883124i | ||||
\(869\) | 4.34283 | − | 0.765757i | 0.147320 | − | 0.0259765i | ||||
\(870\) | −0.827643 | + | 4.14885i | −0.0280597 | + | 0.140659i | ||||
\(871\) | −16.8110 | + | 20.0345i | −0.569618 | + | 0.678844i | ||||
\(872\) | −6.09903 | + | 11.8075i | −0.206539 | + | 0.399852i | ||||
\(873\) | 14.1583 | + | 13.8413i | 0.479185 | + | 0.468456i | ||||
\(874\) | 0.0940700 | − | 0.0562863i | 0.00318197 | − | 0.00190391i | ||||
\(875\) | −3.28765 | + | 18.6452i | −0.111143 | + | 0.630323i | ||||
\(876\) | −31.1193 | + | 25.7553i | −1.05142 | + | 0.870191i | ||||
\(877\) | 15.3450 | + | 5.58514i | 0.518165 | + | 0.188597i | 0.587846 | − | 0.808973i | \(-0.299976\pi\) |
−0.0696811 | + | 0.997569i | \(0.522198\pi\) | |||||||
\(878\) | −2.23896 | + | 6.46354i | −0.0755614 | + | 0.218134i | ||||
\(879\) | −8.65504 | + | 21.2343i | −0.291927 | + | 0.716216i | ||||
\(880\) | −35.8056 | − | 4.03153i | −1.20701 | − | 0.135903i | ||||
\(881\) | −43.1593 | + | 24.9180i | −1.45407 | + | 0.839509i | −0.998709 | − | 0.0507963i | \(-0.983824\pi\) |
−0.455364 | + | 0.890306i | \(0.650491\pi\) | |||||||
\(882\) | 6.70523 | + | 0.405097i | 0.225777 | + | 0.0136403i | ||||
\(883\) | 38.2077 | + | 22.0592i | 1.28579 | + | 0.742352i | 0.977901 | − | 0.209070i | \(-0.0670437\pi\) |
0.307890 | + | 0.951422i | \(0.400377\pi\) | |||||||
\(884\) | −8.95639 | + | 11.3766i | −0.301236 | + | 0.382636i | ||||
\(885\) | −12.2033 | + | 13.4699i | −0.410210 | + | 0.452785i | ||||
\(886\) | 1.94220 | + | 10.0914i | 0.0652495 | + | 0.339028i | ||||
\(887\) | 1.84120 | − | 1.54495i | 0.0618215 | − | 0.0518744i | −0.611353 | − | 0.791358i | \(-0.709375\pi\) |
0.673175 | + | 0.739483i | \(0.264930\pi\) | |||||||
\(888\) | 13.7211 | + | 23.2880i | 0.460449 | + | 0.781493i | ||||
\(889\) | 30.6177 | − | 11.1439i | 1.02688 | − | 0.373756i | ||||
\(890\) | 70.7842 | − | 1.10450i | 2.37269 | − | 0.0370229i | ||||
\(891\) | 23.0701 | − | 4.60878i | 0.772877 | − | 0.154400i | ||||
\(892\) | 1.10298 | + | 35.3348i | 0.0369305 | + | 1.18310i | ||||
\(893\) | 0.206364 | + | 0.566981i | 0.00690571 | + | 0.0189733i | ||||
\(894\) | −39.2083 | + | 21.4822i | −1.31132 | + | 0.718473i | ||||
\(895\) | −47.4313 | − | 56.5264i | −1.58545 | − | 1.88947i | ||||
\(896\) | −31.8207 | + | 9.27952i | −1.06305 | + | 0.310007i | ||||
\(897\) | −5.91090 | − | 5.35510i | −0.197359 | − | 0.178801i | ||||
\(898\) | −5.66967 | + | 6.97503i | −0.189199 | + | 0.232760i | ||||
\(899\) | 1.66986 | − | 2.89227i | 0.0556928 | − | 0.0964627i | ||||
\(900\) | 19.0074 | + | 36.6117i | 0.633581 | + | 1.22039i | ||||
\(901\) | −4.91981 | − | 8.52136i | −0.163903 | − | 0.283888i | ||||
\(902\) | −10.4256 | − | 1.67104i | −0.347134 | − | 0.0556394i | ||||
\(903\) | 26.7083 | + | 10.8862i | 0.888797 | + | 0.362271i | ||||
\(904\) | 0.475253 | − | 1.52416i | 0.0158067 | − | 0.0506929i | ||||
\(905\) | −17.2412 | + | 47.3698i | −0.573117 | + | 1.57463i | ||||
\(906\) | −29.4929 | − | 36.7891i | −0.979837 | − | 1.22224i | ||||
\(907\) | 34.5531 | + | 6.09265i | 1.14732 | + | 0.202303i | 0.714804 | − | 0.699324i | \(-0.246516\pi\) |
0.432513 | + | 0.901628i | \(0.357627\pi\) | |||||||
\(908\) | −9.82912 | − | 15.8602i | −0.326191 | − | 0.526340i | ||||
\(909\) | −6.67219 | − | 23.8189i | −0.221303 | − | 0.790023i | ||||
\(910\) | 37.6730 | − | 67.6682i | 1.24885 | − | 2.24318i | ||||
\(911\) | 8.27443 | + | 6.94307i | 0.274144 | + | 0.230034i | 0.769486 | − | 0.638664i | \(-0.220513\pi\) |
−0.495342 | + | 0.868698i | \(0.664957\pi\) | |||||||
\(912\) | 0.625496 | + | 0.0945953i | 0.0207122 | + | 0.00313236i | ||||
\(913\) | 0.980292 | + | 5.55951i | 0.0324429 | + | 0.183993i | ||||
\(914\) | 0.955888 | − | 0.827840i | 0.0316180 | − | 0.0273825i | ||||
\(915\) | −0.549465 | + | 14.4633i | −0.0181647 | + | 0.478141i | ||||
\(916\) | −31.2316 | + | 12.4841i | −1.03192 | + | 0.412486i | ||||
\(917\) | − | 9.08884i | − | 0.300140i | ||||||
\(918\) | −7.01118 | + | 6.85796i | −0.231403 | + | 0.226346i | ||||
\(919\) | − | 20.9319i | − | 0.690481i | −0.938514 | − | 0.345241i | \(-0.887797\pi\) | ||
0.938514 | − | 0.345241i | \(-0.112203\pi\) | |||||||
\(920\) | 3.19076 | + | 7.63455i | 0.105196 | + | 0.251704i | ||||
\(921\) | 19.3091 | + | 12.1481i | 0.636257 | + | 0.400295i | ||||
\(922\) | −12.1299 | − | 14.0061i | −0.399477 | − | 0.461267i | ||||
\(923\) | 11.1513 | + | 63.2421i | 0.367049 | + | 2.08164i | ||||
\(924\) | 8.90458 | + | 24.9900i | 0.292939 | + | 0.822112i | ||||
\(925\) | 29.0588 | + | 24.3832i | 0.955447 | + | 0.801715i | ||||
\(926\) | −1.66635 | − | 0.927710i | −0.0547598 | − | 0.0304865i | ||||
\(927\) | 19.9116 | − | 43.9943i | 0.653983 | − | 1.44496i | ||||
\(928\) | −2.33738 | + | 1.60463i | −0.0767284 | + | 0.0526744i | ||||
\(929\) | 33.1245 | + | 5.84075i | 1.08678 | + | 0.191629i | 0.688212 | − | 0.725510i | \(-0.258396\pi\) |
0.398568 | + | 0.917139i | \(0.369507\pi\) | |||||||
\(930\) | −8.52580 | − | 55.5975i | −0.279572 | − | 1.82311i | ||||
\(931\) | 0.0494464 | − | 0.135853i | 0.00162054 | − | 0.00445240i | ||||
\(932\) | 11.0185 | − | 33.4891i | 0.360922 | − | 1.09697i | ||||
\(933\) | 1.45626 | + | 10.5974i | 0.0476758 | + | 0.346945i | ||||
\(934\) | −4.39205 | + | 27.4020i | −0.143712 | + | 0.896621i | ||||
\(935\) | −6.01119 | − | 10.4117i | −0.196587 | − | 0.340498i | ||||
\(936\) | −6.66861 | − | 45.5414i | −0.217970 | − | 1.48857i | ||||
\(937\) | −12.5767 | + | 21.7834i | −0.410862 | + | 0.711634i | −0.994984 | − | 0.100032i | \(-0.968106\pi\) |
0.584122 | + | 0.811666i | \(0.301439\pi\) | |||||||
\(938\) | −15.5014 | − | 12.6004i | −0.506139 | − | 0.411417i | ||||
\(939\) | −35.3476 | + | 11.3655i | −1.15353 | + | 0.370898i | ||||
\(940\) | −44.5824 | + | 9.30393i | −1.45412 | + | 0.303461i | ||||
\(941\) | 26.6235 | + | 31.7286i | 0.867901 | + | 1.03432i | 0.999077 | + | 0.0429652i | \(0.0136805\pi\) |
−0.131175 | + | 0.991359i | \(0.541875\pi\) | |||||||
\(942\) | 21.4187 | − | 35.2530i | 0.697859 | − | 1.14860i | ||||
\(943\) | 0.829308 | + | 2.27850i | 0.0270060 | + | 0.0741983i | ||||
\(944\) | −12.1569 | + | 0.759701i | −0.395675 | + | 0.0247262i | ||||
\(945\) | 31.2244 | − | 42.1560i | 1.01573 | − | 1.37133i | ||||
\(946\) | 0.327815 | + | 21.0087i | 0.0106582 | + | 0.683052i | ||||
\(947\) | −53.1276 | + | 19.3369i | −1.72642 | + | 0.628364i | −0.998365 | − | 0.0571597i | \(-0.981796\pi\) |
−0.728050 | + | 0.685524i | \(0.759573\pi\) | |||||||
\(948\) | 0.0395464 | − | 5.84383i | 0.00128441 | − | 0.189799i | ||||
\(949\) | 48.4548 | − | 40.6584i | 1.57291 | − | 1.31983i | ||||
\(950\) | 0.871810 | − | 0.167789i | 0.0282852 | − | 0.00544378i | ||||
\(951\) | −24.8927 | − | 5.37092i | −0.807201 | − | 0.174164i | ||||
\(952\) | −8.79544 | − | 6.70473i | −0.285062 | − | 0.217302i | ||||
\(953\) | −31.8569 | − | 18.3926i | −1.03195 | − | 0.595795i | −0.114405 | − | 0.993434i | \(-0.536496\pi\) |
−0.917542 | + | 0.397639i | \(0.869830\pi\) | |||||||
\(954\) | 30.4200 | + | 7.27924i | 0.984885 | + | 0.235674i | ||||
\(955\) | 5.73591 | − | 3.31163i | 0.185610 | − | 0.107162i | ||||
\(956\) | −2.63232 | + | 18.2398i | −0.0851354 | + | 0.589917i | ||||
\(957\) | 1.39156 | + | 1.79241i | 0.0449827 | + | 0.0579405i | ||||
\(958\) | 25.4717 | + | 8.82338i | 0.822953 | + | 0.285070i | ||||
\(959\) | −47.5403 | − | 17.3032i | −1.53516 | − | 0.558751i | ||||
\(960\) | −13.8107 | + | 45.7090i | −0.445739 | + | 1.47525i | ||||
\(961\) | −2.32736 | + | 13.1991i | −0.0750761 | + | 0.425778i | ||||
\(962\) | −21.7317 | − | 36.3197i | −0.700659 | − | 1.17100i | ||||
\(963\) | −16.4507 | + | 24.0696i | −0.530117 | + | 0.775630i | ||||
\(964\) | −5.88716 | + | 10.9740i | −0.189613 | + | 0.353447i | ||||
\(965\) | 13.8697 | − | 16.5292i | 0.446480 | − | 0.532094i | ||||
\(966\) | 4.01943 | − | 4.57818i | 0.129323 | − | 0.147300i | ||||
\(967\) | 44.3616 | − | 7.82215i | 1.42657 | − | 0.251543i | 0.593557 | − | 0.804792i | \(-0.297723\pi\) |
0.833016 | + | 0.553249i | \(0.186612\pi\) | |||||||
\(968\) | 8.66437 | − | 7.99018i | 0.278483 | − | 0.256814i | ||||
\(969\) | 0.0985224 | + | 0.186672i | 0.00316500 | + | 0.00599677i | ||||
\(970\) | 11.4712 | + | 30.0496i | 0.368318 | + | 0.964835i | ||||
\(971\) | −40.1053 | −1.28704 | −0.643520 | − | 0.765429i | \(-0.722527\pi\) | ||||
−0.643520 | + | 0.765429i | \(0.722527\pi\) | |||||||
\(972\) | −0.494987 | − | 31.1730i | −0.0158767 | − | 0.999874i | ||||
\(973\) | 32.7837 | 1.05100 | ||||||||
\(974\) | −6.42762 | − | 16.8376i | −0.205954 | − | 0.539512i | ||||
\(975\) | −30.1505 | − | 57.1266i | −0.965588 | − | 1.82951i | ||||
\(976\) | −7.02705 | + | 6.68612i | −0.224930 | + | 0.214017i | ||||
\(977\) | −36.1734 | + | 6.37835i | −1.15729 | + | 0.204062i | −0.719157 | − | 0.694848i | \(-0.755472\pi\) |
−0.438134 | + | 0.898910i | \(0.644361\pi\) | |||||||
\(978\) | −12.9707 | + | 14.7738i | −0.414759 | + | 0.472415i | ||||
\(979\) | 24.4075 | − | 29.0878i | 0.780068 | − | 0.929649i | ||||
\(980\) | 9.61606 | + | 5.15870i | 0.307174 | + | 0.164788i | ||||
\(981\) | 7.95377 | − | 11.6374i | 0.253944 | − | 0.371554i | ||||
\(982\) | −17.9589 | − | 30.0144i | −0.573093 | − | 0.957797i | ||||
\(983\) | −3.28853 | + | 18.6502i | −0.104888 | + | 0.594848i | 0.886377 | + | 0.462963i | \(0.153214\pi\) |
−0.991265 | + | 0.131884i | \(0.957897\pi\) | |||||||
\(984\) | −4.66936 | + | 13.1904i | −0.148854 | + | 0.420495i | ||||
\(985\) | −48.9916 | − | 17.8315i | −1.56100 | − | 0.568158i | ||||
\(986\) | −0.893872 | − | 0.309637i | −0.0284667 | − | 0.00986084i | ||||
\(987\) | 20.5631 | + | 26.4866i | 0.654532 | + | 0.843077i | ||||
\(988\) | −0.980427 | − | 0.141493i | −0.0311915 | − | 0.00450148i | ||||
\(989\) | 4.17867 | − | 2.41256i | 0.132874 | − | 0.0767148i | ||||
\(990\) | 37.1682 | + | 8.89402i | 1.18128 | + | 0.282671i | ||||
\(991\) | 30.3997 | + | 17.5513i | 0.965680 | + | 0.557535i | 0.897916 | − | 0.440166i | \(-0.145080\pi\) |
0.0677633 | + | 0.997701i | \(0.478414\pi\) | |||||||
\(992\) | 21.9056 | − | 30.6763i | 0.695503 | − | 0.973972i | ||||
\(993\) | 44.9071 | + | 9.68928i | 1.42508 | + | 0.307480i | ||||
\(994\) | −48.1673 | + | 9.27029i | −1.52777 | + | 0.294036i | ||||
\(995\) | −68.4100 | + | 57.4028i | −2.16874 | + | 1.81979i | ||||
\(996\) | 7.48104 | + | 0.0506258i | 0.237046 | + | 0.00160414i | ||||
\(997\) | −22.5603 | + | 8.21129i | −0.714493 | + | 0.260054i | −0.673586 | − | 0.739109i | \(-0.735247\pi\) |
−0.0409071 | + | 0.999163i | \(0.513025\pi\) | |||||||
\(998\) | 0.871737 | + | 55.8671i | 0.0275944 | + | 1.76844i | ||||
\(999\) | −11.4194 | − | 26.2967i | −0.361295 | − | 0.831991i |
(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 | 108.2.l.a.47.15 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.143.2 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.47.2 | yes | 96 | |
9.2 | odd | 6 | 972.2.l.a.107.12 | 96 | |||
9.4 | even | 3 | 972.2.l.c.755.7 | 96 | |||
9.5 | odd | 6 | 972.2.l.b.755.10 | 96 | |||
9.7 | even | 3 | 972.2.l.d.107.5 | 96 | |||
12.11 | even | 2 | 324.2.l.a.143.15 | 96 | |||
27.4 | even | 9 | 324.2.l.a.179.15 | 96 | |||
27.5 | odd | 18 | 972.2.l.c.215.9 | 96 | |||
27.13 | even | 9 | 972.2.l.a.863.4 | 96 | |||
27.14 | odd | 18 | 972.2.l.d.863.13 | 96 | |||
27.22 | even | 9 | 972.2.l.b.215.8 | 96 | |||
27.23 | odd | 18 | inner | 108.2.l.a.23.2 | ✓ | 96 | |
36.7 | odd | 6 | 972.2.l.d.107.13 | 96 | |||
36.11 | even | 6 | 972.2.l.a.107.4 | 96 | |||
36.23 | even | 6 | 972.2.l.b.755.8 | 96 | |||
36.31 | odd | 6 | 972.2.l.c.755.9 | 96 | |||
108.23 | even | 18 | inner | 108.2.l.a.23.15 | yes | 96 | |
108.31 | odd | 18 | 324.2.l.a.179.2 | 96 | |||
108.59 | even | 18 | 972.2.l.c.215.7 | 96 | |||
108.67 | odd | 18 | 972.2.l.a.863.12 | 96 | |||
108.95 | even | 18 | 972.2.l.d.863.5 | 96 | |||
108.103 | odd | 18 | 972.2.l.b.215.10 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.23.2 | ✓ | 96 | 27.23 | odd | 18 | inner | |
108.2.l.a.23.15 | yes | 96 | 108.23 | even | 18 | inner | |
108.2.l.a.47.2 | yes | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.47.15 | yes | 96 | 1.1 | even | 1 | trivial | |
324.2.l.a.143.2 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.143.15 | 96 | 12.11 | even | 2 | |||
324.2.l.a.179.2 | 96 | 108.31 | odd | 18 | |||
324.2.l.a.179.15 | 96 | 27.4 | even | 9 | |||
972.2.l.a.107.4 | 96 | 36.11 | even | 6 | |||
972.2.l.a.107.12 | 96 | 9.2 | odd | 6 | |||
972.2.l.a.863.4 | 96 | 27.13 | even | 9 | |||
972.2.l.a.863.12 | 96 | 108.67 | odd | 18 | |||
972.2.l.b.215.8 | 96 | 27.22 | even | 9 | |||
972.2.l.b.215.10 | 96 | 108.103 | odd | 18 | |||
972.2.l.b.755.8 | 96 | 36.23 | even | 6 | |||
972.2.l.b.755.10 | 96 | 9.5 | odd | 6 | |||
972.2.l.c.215.7 | 96 | 108.59 | even | 18 | |||
972.2.l.c.215.9 | 96 | 27.5 | odd | 18 | |||
972.2.l.c.755.7 | 96 | 9.4 | even | 3 | |||
972.2.l.c.755.9 | 96 | 36.31 | odd | 6 | |||
972.2.l.d.107.5 | 96 | 9.7 | even | 3 | |||
972.2.l.d.107.13 | 96 | 36.7 | odd | 6 | |||
972.2.l.d.863.5 | 96 | 108.95 | even | 18 | |||
972.2.l.d.863.13 | 96 | 27.14 | odd | 18 |