Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 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("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.22 | ||
Character | \(\chi\) | \(=\) | 216.11 |
Dual form | 216.2.v.b.59.22 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.821807 | + | 1.15093i | 0.581105 | + | 0.813828i | ||||
\(3\) | 1.73063 | − | 0.0701536i | 0.999179 | − | 0.0405032i | ||||
\(4\) | −0.649266 | + | 1.89168i | −0.324633 | + | 0.945840i | ||||
\(5\) | 0.426624 | + | 0.155279i | 0.190792 | + | 0.0694427i | 0.435649 | − | 0.900116i | \(-0.356519\pi\) |
−0.244857 | + | 0.969559i | \(0.578741\pi\) | |||||||
\(6\) | 1.50299 | + | 1.93418i | 0.613591 | + | 0.789624i | ||||
\(7\) | −1.28150 | − | 0.225962i | −0.484360 | − | 0.0854057i | −0.0738642 | − | 0.997268i | \(-0.523533\pi\) |
−0.410495 | + | 0.911863i | \(0.634644\pi\) | |||||||
\(8\) | −2.71076 | + | 0.807339i | −0.958397 | + | 0.285437i | ||||
\(9\) | 2.99016 | − | 0.242820i | 0.996719 | − | 0.0809399i | ||||
\(10\) | 0.171889 | + | 0.618623i | 0.0543560 | + | 0.195626i | ||||
\(11\) | 0.00602720 | + | 0.0165596i | 0.00181727 | + | 0.00499290i | 0.940598 | − | 0.339522i | \(-0.110265\pi\) |
−0.938781 | + | 0.344515i | \(0.888043\pi\) | |||||||
\(12\) | −0.990930 | + | 3.31935i | −0.286057 | + | 0.958213i | ||||
\(13\) | −1.43581 | − | 1.71113i | −0.398222 | − | 0.474582i | 0.529255 | − | 0.848463i | \(-0.322471\pi\) |
−0.927477 | + | 0.373881i | \(0.878027\pi\) | |||||||
\(14\) | −0.793076 | − | 1.66060i | −0.211959 | − | 0.443815i | ||||
\(15\) | 0.749222 | + | 0.238801i | 0.193448 | + | 0.0616580i | ||||
\(16\) | −3.15691 | − | 2.45641i | −0.789227 | − | 0.614102i | ||||
\(17\) | 1.27216 | − | 0.734483i | 0.308545 | − | 0.178138i | −0.337730 | − | 0.941243i | \(-0.609659\pi\) |
0.646275 | + | 0.763105i | \(0.276326\pi\) | |||||||
\(18\) | 2.73680 | + | 3.24190i | 0.645070 | + | 0.764123i | ||||
\(19\) | 0.677841 | − | 1.17406i | 0.155507 | − | 0.269347i | −0.777736 | − | 0.628591i | \(-0.783632\pi\) |
0.933244 | + | 0.359244i | \(0.116965\pi\) | |||||||
\(20\) | −0.570730 | + | 0.706220i | −0.127619 | + | 0.157916i | ||||
\(21\) | −2.23365 | − | 0.301155i | −0.487421 | − | 0.0657175i | ||||
\(22\) | −0.0141057 | + | 0.0205456i | −0.00300734 | + | 0.00438035i | ||||
\(23\) | −0.369486 | − | 2.09546i | −0.0770432 | − | 0.436933i | −0.998792 | − | 0.0491452i | \(-0.984350\pi\) |
0.921748 | − | 0.387788i | \(-0.126761\pi\) | |||||||
\(24\) | −4.63468 | + | 1.58737i | −0.946050 | + | 0.324021i | ||||
\(25\) | −3.67233 | − | 3.08145i | −0.734465 | − | 0.616289i | ||||
\(26\) | 0.789428 | − | 3.05873i | 0.154820 | − | 0.599866i | ||||
\(27\) | 5.15782 | − | 0.630001i | 0.992623 | − | 0.121244i | ||||
\(28\) | 1.25948 | − | 2.27747i | 0.238019 | − | 0.430401i | ||||
\(29\) | 5.56933 | + | 4.67322i | 1.03420 | + | 0.867796i | 0.991345 | − | 0.131286i | \(-0.0419105\pi\) |
0.0428540 | + | 0.999081i | \(0.486355\pi\) | |||||||
\(30\) | 0.340874 | + | 1.05855i | 0.0622349 | + | 0.193264i | ||||
\(31\) | −8.87753 | + | 1.56535i | −1.59445 | + | 0.281145i | −0.899172 | − | 0.437595i | \(-0.855830\pi\) |
−0.695279 | + | 0.718740i | \(0.744719\pi\) | |||||||
\(32\) | 0.232774 | − | 5.65206i | 0.0411490 | − | 0.999153i | ||||
\(33\) | 0.0115926 | + | 0.0282357i | 0.00201801 | + | 0.00491520i | ||||
\(34\) | 1.89081 | + | 0.860562i | 0.324271 | + | 0.147585i | ||||
\(35\) | −0.511630 | − | 0.295390i | −0.0864813 | − | 0.0499300i | ||||
\(36\) | −1.48207 | + | 5.81408i | −0.247012 | + | 0.969013i | ||||
\(37\) | 4.58718 | − | 2.64841i | 0.754128 | − | 0.435396i | −0.0730557 | − | 0.997328i | \(-0.523275\pi\) |
0.827183 | + | 0.561932i | \(0.189942\pi\) | |||||||
\(38\) | 1.90831 | − | 0.184701i | 0.309568 | − | 0.0299625i | ||||
\(39\) | −2.60490 | − | 2.86061i | −0.417117 | − | 0.458064i | ||||
\(40\) | −1.28184 | − | 0.0764919i | −0.202676 | − | 0.0120944i | ||||
\(41\) | 1.56527 | + | 1.86542i | 0.244454 | + | 0.291329i | 0.874295 | − | 0.485395i | \(-0.161324\pi\) |
−0.629841 | + | 0.776724i | \(0.716880\pi\) | |||||||
\(42\) | −1.48902 | − | 2.81825i | −0.229761 | − | 0.434866i | ||||
\(43\) | −10.1956 | + | 3.71089i | −1.55481 | + | 0.565906i | −0.969541 | − | 0.244930i | \(-0.921235\pi\) |
−0.585273 | + | 0.810836i | \(0.699013\pi\) | |||||||
\(44\) | −0.0352387 | 0.000649957i | −0.00531243 | 9.79847e-5i | ||||||
\(45\) | 1.31338 | + | 0.360715i | 0.195787 | + | 0.0537722i | ||||
\(46\) | 2.10807 | − | 2.14731i | 0.310819 | − | 0.316604i | ||||
\(47\) | 0.791397 | − | 4.48824i | 0.115437 | − | 0.654676i | −0.871096 | − | 0.491113i | \(-0.836590\pi\) |
0.986533 | − | 0.163563i | \(-0.0522988\pi\) | |||||||
\(48\) | −5.63576 | − | 4.02966i | −0.813452 | − | 0.581631i | ||||
\(49\) | −4.98668 | − | 1.81500i | −0.712382 | − | 0.259286i | ||||
\(50\) | 0.528577 | − | 6.75893i | 0.0747520 | − | 0.955858i | ||||
\(51\) | 2.15011 | − | 1.36036i | 0.301076 | − | 0.190489i | ||||
\(52\) | 4.16913 | − | 1.60511i | 0.578155 | − | 0.222589i | ||||
\(53\) | 10.4085 | 1.42972 | 0.714860 | − | 0.699267i | \(-0.246490\pi\) | ||||
0.714860 | + | 0.699267i | \(0.246490\pi\) | |||||||
\(54\) | 4.96382 | + | 5.41853i | 0.675490 | + | 0.737369i | ||||
\(55\) | 0.00800062i | 0.00107880i | ||||||||
\(56\) | 3.65625 | − | 0.422073i | 0.488587 | − | 0.0564018i | ||||
\(57\) | 1.09073 | − | 2.07941i | 0.144470 | − | 0.275424i | ||||
\(58\) | −0.801622 | + | 10.2504i | −0.105258 | + | 1.34594i | ||||
\(59\) | −3.75319 | + | 10.3118i | −0.488624 | + | 1.34248i | 0.413302 | + | 0.910594i | \(0.364375\pi\) |
−0.901926 | + | 0.431890i | \(0.857847\pi\) | |||||||
\(60\) | −0.938179 | + | 1.26224i | −0.121118 | + | 0.162955i | ||||
\(61\) | 8.87057 | + | 1.56412i | 1.13576 | + | 0.200265i | 0.709750 | − | 0.704453i | \(-0.248808\pi\) |
0.426010 | + | 0.904718i | \(0.359919\pi\) | |||||||
\(62\) | −9.09722 | − | 8.93098i | −1.15535 | − | 1.13424i | ||||
\(63\) | −3.88674 | − | 0.364490i | −0.489683 | − | 0.0459214i | ||||
\(64\) | 6.69641 | − | 4.37700i | 0.837051 | − | 0.547125i | ||||
\(65\) | −0.346849 | − | 0.952961i | −0.0430214 | − | 0.118200i | ||||
\(66\) | −0.0229704 | + | 0.0365465i | −0.00282745 | + | 0.00449856i | ||||
\(67\) | 3.70041 | − | 3.10502i | 0.452078 | − | 0.379338i | −0.388129 | − | 0.921605i | \(-0.626878\pi\) |
0.840206 | + | 0.542267i | \(0.182434\pi\) | |||||||
\(68\) | 0.563436 | + | 2.88340i | 0.0683266 | + | 0.349663i | ||||
\(69\) | −0.786447 | − | 3.60054i | −0.0946771 | − | 0.433454i | ||||
\(70\) | −0.0804893 | − | 0.831602i | −0.00962031 | − | 0.0993955i | ||||
\(71\) | −5.03714 | − | 8.72458i | −0.597799 | − | 1.03542i | −0.993145 | − | 0.116886i | \(-0.962709\pi\) |
0.395347 | − | 0.918532i | \(-0.370624\pi\) | |||||||
\(72\) | −7.90955 | + | 3.07230i | −0.932150 | + | 0.362074i | ||||
\(73\) | −0.339460 | + | 0.587962i | −0.0397308 | + | 0.0688158i | −0.885207 | − | 0.465197i | \(-0.845983\pi\) |
0.845476 | + | 0.534013i | \(0.179317\pi\) | |||||||
\(74\) | 6.81790 | + | 3.10303i | 0.792565 | + | 0.360720i | ||||
\(75\) | −6.57161 | − | 5.07522i | −0.758824 | − | 0.586035i | ||||
\(76\) | 1.78084 | + | 2.04453i | 0.204276 | + | 0.234524i | ||||
\(77\) | −0.00398198 | − | 0.0225829i | −0.000453789 | − | 0.00257357i | ||||
\(78\) | 1.15163 | − | 5.34891i | 0.130396 | − | 0.605645i | ||||
\(79\) | −5.19665 | + | 6.19313i | −0.584669 | + | 0.696782i | −0.974572 | − | 0.224074i | \(-0.928064\pi\) |
0.389903 | + | 0.920856i | \(0.372509\pi\) | |||||||
\(80\) | −0.965387 | − | 1.53816i | −0.107934 | − | 0.171972i | ||||
\(81\) | 8.88208 | − | 1.45214i | 0.986897 | − | 0.161349i | ||||
\(82\) | −0.860607 | + | 3.33452i | −0.0950382 | + | 0.368237i | ||||
\(83\) | 1.29122 | − | 1.53881i | 0.141729 | − | 0.168907i | −0.690510 | − | 0.723323i | \(-0.742614\pi\) |
0.832240 | + | 0.554416i | \(0.187058\pi\) | |||||||
\(84\) | 2.01992 | − | 4.02981i | 0.220391 | − | 0.439689i | ||||
\(85\) | 0.656785 | − | 0.115809i | 0.0712383 | − | 0.0125612i | ||||
\(86\) | −12.6498 | − | 8.68475i | −1.36406 | − | 0.936501i | ||||
\(87\) | 9.96629 | + | 7.69691i | 1.06850 | + | 0.825195i | ||||
\(88\) | −0.0297075 | − | 0.0400230i | −0.00316683 | − | 0.00426647i | ||||
\(89\) | −0.103744 | − | 0.0598964i | −0.0109968 | − | 0.00634901i | 0.494492 | − | 0.869182i | \(-0.335354\pi\) |
−0.505488 | + | 0.862833i | \(0.668688\pi\) | |||||||
\(90\) | 0.664188 | + | 1.80804i | 0.0700116 | + | 0.190584i | ||||
\(91\) | 1.45333 | + | 2.51724i | 0.152351 | + | 0.263879i | ||||
\(92\) | 4.20383 | + | 0.661560i | 0.438280 | + | 0.0689724i | ||||
\(93\) | −15.2539 | + | 3.33183i | −1.58176 | + | 0.345495i | ||||
\(94\) | 5.81601 | − | 2.77762i | 0.599875 | − | 0.286490i | ||||
\(95\) | 0.471489 | − | 0.395626i | 0.0483738 | − | 0.0405904i | ||||
\(96\) | 0.00633320 | − | 9.79796i | 0.000646380 | − | 1.00000i | ||||
\(97\) | −10.4801 | + | 3.81446i | −1.06410 | + | 0.387299i | −0.813966 | − | 0.580913i | \(-0.802696\pi\) |
−0.250130 | + | 0.968212i | \(0.580474\pi\) | |||||||
\(98\) | −2.00915 | − | 7.23088i | −0.202955 | − | 0.730429i | ||||
\(99\) | 0.0220433 | + | 0.0480522i | 0.00221543 | + | 0.00482943i | ||||
\(100\) | 8.21343 | − | 4.94619i | 0.821343 | − | 0.494619i | ||||
\(101\) | −2.89743 | + | 16.4321i | −0.288305 | + | 1.63506i | 0.404932 | + | 0.914347i | \(0.367295\pi\) |
−0.693237 | + | 0.720710i | \(0.743816\pi\) | |||||||
\(102\) | 3.33266 | + | 1.35667i | 0.329982 | + | 0.134330i | ||||
\(103\) | −5.45676 | + | 14.9923i | −0.537670 | + | 1.47724i | 0.312082 | + | 0.950055i | \(0.398974\pi\) |
−0.849753 | + | 0.527182i | \(0.823249\pi\) | |||||||
\(104\) | 5.27359 | + | 3.47927i | 0.517118 | + | 0.341171i | ||||
\(105\) | −0.906165 | − | 0.475318i | −0.0884326 | − | 0.0463862i | ||||
\(106\) | 8.55380 | + | 11.9794i | 0.830818 | + | 1.16355i | ||||
\(107\) | 6.73607i | 0.651200i | 0.945508 | + | 0.325600i | \(0.105566\pi\) | ||||
−0.945508 | + | 0.325600i | \(0.894434\pi\) | |||||||
\(108\) | −2.15703 | + | 10.1660i | −0.207561 | + | 0.978222i | ||||
\(109\) | 2.91699i | 0.279397i | 0.990194 | + | 0.139699i | \(0.0446134\pi\) | ||||
−0.990194 | + | 0.139699i | \(0.955387\pi\) | |||||||
\(110\) | −0.00920813 | + | 0.00657497i | −0.000877961 | + | 0.000626898i | ||||
\(111\) | 7.75291 | − | 4.90522i | 0.735874 | − | 0.465583i | ||||
\(112\) | 3.49051 | + | 3.86121i | 0.329822 | + | 0.364850i | ||||
\(113\) | −6.67148 | + | 18.3297i | −0.627600 | + | 1.72432i | 0.0599724 | + | 0.998200i | \(0.480899\pi\) |
−0.687572 | + | 0.726116i | \(0.741323\pi\) | |||||||
\(114\) | 3.28961 | − | 0.453524i | 0.308101 | − | 0.0424764i | ||||
\(115\) | 0.167748 | − | 0.951347i | 0.0156426 | − | 0.0887136i | ||||
\(116\) | −12.4562 | + | 7.50123i | −1.15653 | + | 0.696471i | ||||
\(117\) | −4.70879 | − | 4.76791i | −0.435328 | − | 0.440793i | ||||
\(118\) | −14.9525 | + | 4.15467i | −1.37649 | + | 0.382469i | ||||
\(119\) | −1.79623 | + | 0.653776i | −0.164661 | + | 0.0599315i | ||||
\(120\) | −2.22375 | − | 0.0424537i | −0.203000 | − | 0.00387548i | ||||
\(121\) | 8.42625 | − | 7.07046i | 0.766023 | − | 0.642769i | ||||
\(122\) | 5.48971 | + | 11.4948i | 0.497015 | + | 1.04069i | ||||
\(123\) | 2.83977 | + | 3.11853i | 0.256053 | + | 0.281189i | ||||
\(124\) | 2.80274 | − | 17.8098i | 0.251693 | − | 1.59937i | ||||
\(125\) | −2.22323 | − | 3.85075i | −0.198852 | − | 0.344422i | ||||
\(126\) | −2.77465 | − | 4.77289i | −0.247185 | − | 0.425203i | ||||
\(127\) | 14.9938 | + | 8.65666i | 1.33048 | + | 0.768154i | 0.985373 | − | 0.170409i | \(-0.0545088\pi\) |
0.345108 | + | 0.938563i | \(0.387842\pi\) | |||||||
\(128\) | 10.5408 | + | 4.11002i | 0.931681 | + | 0.363278i | ||||
\(129\) | −17.3845 | + | 7.13744i | −1.53062 | + | 0.628417i | ||||
\(130\) | 0.811745 | − | 1.18235i | 0.0711947 | − | 0.103699i | ||||
\(131\) | −3.03491 | + | 0.535137i | −0.265162 | + | 0.0467552i | −0.304648 | − | 0.952465i | \(-0.598539\pi\) |
0.0394865 | + | 0.999220i | \(0.487428\pi\) | |||||||
\(132\) | −0.0609395 | + | 0.00359696i | −0.00530410 | + | 0.000313075i | ||||
\(133\) | −1.13394 | + | 1.35138i | −0.0983252 | + | 0.117179i | ||||
\(134\) | 6.61467 | + | 1.70718i | 0.571421 | + | 0.147478i | ||||
\(135\) | 2.29828 | + | 0.532125i | 0.197804 | + | 0.0457980i | ||||
\(136\) | −2.85554 | + | 3.01807i | −0.244861 | + | 0.258797i | ||||
\(137\) | 7.57425 | − | 9.02665i | 0.647112 | − | 0.771198i | −0.338363 | − | 0.941016i | \(-0.609873\pi\) |
0.985476 | + | 0.169817i | \(0.0543177\pi\) | |||||||
\(138\) | 3.49765 | − | 3.86410i | 0.297740 | − | 0.328934i | ||||
\(139\) | −0.930383 | − | 5.27646i | −0.0789140 | − | 0.447544i | −0.998505 | − | 0.0546659i | \(-0.982591\pi\) |
0.919591 | − | 0.392878i | \(-0.128520\pi\) | |||||||
\(140\) | 0.890967 | − | 0.776054i | 0.0753005 | − | 0.0655885i | ||||
\(141\) | 1.05475 | − | 7.82299i | 0.0888259 | − | 0.658815i | ||||
\(142\) | 5.90180 | − | 12.9673i | 0.495268 | − | 1.08819i | ||||
\(143\) | 0.0196817 | − | 0.0340897i | 0.00164587 | − | 0.00285073i | ||||
\(144\) | −10.0361 | − | 6.57848i | −0.836343 | − | 0.548207i | ||||
\(145\) | 1.65036 | + | 2.85851i | 0.137055 | + | 0.237386i | ||||
\(146\) | −0.955672 | + | 0.0924978i | −0.0790920 | + | 0.00765517i | ||||
\(147\) | −8.75742 | − | 2.79126i | −0.722300 | − | 0.230219i | ||||
\(148\) | 2.03165 | + | 10.3970i | 0.167000 | + | 0.854628i | ||||
\(149\) | −10.9918 | + | 9.22325i | −0.900486 | + | 0.755598i | −0.970285 | − | 0.241963i | \(-0.922209\pi\) |
0.0697991 | + | 0.997561i | \(0.477764\pi\) | |||||||
\(150\) | 0.440607 | − | 11.7343i | 0.0359754 | − | 0.958101i | ||||
\(151\) | −4.06790 | − | 11.1765i | −0.331041 | − | 0.909528i | −0.987842 | − | 0.155464i | \(-0.950313\pi\) |
0.656800 | − | 0.754065i | \(-0.271909\pi\) | |||||||
\(152\) | −0.889602 | + | 3.72983i | −0.0721562 | + | 0.302529i | ||||
\(153\) | 3.62562 | − | 2.50513i | 0.293114 | − | 0.202527i | ||||
\(154\) | 0.0227189 | − | 0.0231418i | 0.00183074 | − | 0.00186482i | ||||
\(155\) | −4.03044 | − | 0.710675i | −0.323733 | − | 0.0570828i | ||||
\(156\) | 7.10262 | − | 3.07034i | 0.568665 | − | 0.245824i | ||||
\(157\) | 5.75062 | − | 15.7997i | 0.458950 | − | 1.26095i | −0.467319 | − | 0.884089i | \(-0.654780\pi\) |
0.926268 | − | 0.376865i | \(-0.122998\pi\) | |||||||
\(158\) | −11.3985 | − | 0.891409i | −0.906815 | − | 0.0709167i | ||||
\(159\) | 18.0133 | − | 0.730195i | 1.42855 | − | 0.0579082i | ||||
\(160\) | 0.976952 | − | 2.37516i | 0.0772348 | − | 0.187773i | ||||
\(161\) | 2.76881i | 0.218213i | ||||||||
\(162\) | 8.97066 | + | 9.02924i | 0.704802 | + | 0.709404i | ||||
\(163\) | 10.1776 | 0.797169 | 0.398585 | − | 0.917132i | \(-0.369502\pi\) | ||||
0.398585 | + | 0.917132i | \(0.369502\pi\) | |||||||
\(164\) | −4.54505 | + | 1.74984i | −0.354909 | + | 0.136640i | ||||
\(165\) | 0.000561272 | 0.0138461i | 4.36950e−5 | 0.00107792i | ||||||
\(166\) | 2.83219 | + | 0.221489i | 0.219821 | + | 0.0171909i | ||||
\(167\) | 15.0723 | + | 5.48587i | 1.16633 | + | 0.424509i | 0.851355 | − | 0.524591i | \(-0.175782\pi\) |
0.314975 | + | 0.949100i | \(0.398004\pi\) | |||||||
\(168\) | 6.29800 | − | 0.986950i | 0.485902 | − | 0.0761449i | ||||
\(169\) | 1.39101 | − | 7.88879i | 0.107000 | − | 0.606830i | ||||
\(170\) | 0.673038 | + | 0.660739i | 0.0516197 | + | 0.0506764i | ||||
\(171\) | 1.74177 | − | 3.67520i | 0.133196 | − | 0.281050i | ||||
\(172\) | −0.400173 | − | 21.6962i | −0.0305129 | − | 1.65432i | ||||
\(173\) | −12.7203 | + | 4.62982i | −0.967109 | + | 0.351999i | −0.776815 | − | 0.629729i | \(-0.783166\pi\) |
−0.190293 | + | 0.981727i | \(0.560944\pi\) | |||||||
\(174\) | −0.668210 | + | 17.7958i | −0.0506569 | + | 1.34910i | ||||
\(175\) | 4.00978 | + | 4.77867i | 0.303111 | + | 0.361233i | ||||
\(176\) | 0.0216498 | − | 0.0670823i | 0.00163191 | − | 0.00505652i | ||||
\(177\) | −5.77198 | + | 18.1092i | −0.433848 | + | 1.36117i | ||||
\(178\) | −0.0163209 | − | 0.168625i | −0.00122330 | − | 0.0126390i | ||||
\(179\) | 9.84897 | − | 5.68630i | 0.736146 | − | 0.425014i | −0.0845201 | − | 0.996422i | \(-0.526936\pi\) |
0.820667 | + | 0.571407i | \(0.193602\pi\) | |||||||
\(180\) | −1.53509 | + | 2.25029i | −0.114419 | + | 0.167727i | ||||
\(181\) | −12.8369 | − | 7.41138i | −0.954159 | − | 0.550884i | −0.0597883 | − | 0.998211i | \(-0.519043\pi\) |
−0.894370 | + | 0.447327i | \(0.852376\pi\) | |||||||
\(182\) | −1.70281 | + | 3.74137i | −0.126220 | + | 0.277329i | ||||
\(183\) | 15.4614 | + | 2.08461i | 1.14294 | + | 0.154099i | ||||
\(184\) | 2.69333 | + | 5.38198i | 0.198555 | + | 0.396765i | ||||
\(185\) | 2.36824 | − | 0.417585i | 0.174117 | − | 0.0307015i | ||||
\(186\) | −16.3705 | − | 14.8180i | −1.20034 | − | 1.08651i | ||||
\(187\) | 0.0198303 | + | 0.0166396i | 0.00145014 | + | 0.00121681i | ||||
\(188\) | 7.97648 | + | 4.41113i | 0.581745 | + | 0.321715i | ||||
\(189\) | −6.75208 | − | 0.358129i | −0.491141 | − | 0.0260500i | ||||
\(190\) | 0.842810 | + | 0.217521i | 0.0611439 | + | 0.0157806i | ||||
\(191\) | −14.4389 | − | 12.1157i | −1.04476 | − | 0.876659i | −0.0522283 | − | 0.998635i | \(-0.516632\pi\) |
−0.992533 | + | 0.121976i | \(0.961077\pi\) | |||||||
\(192\) | 11.2819 | − | 8.04474i | 0.814204 | − | 0.580579i | ||||
\(193\) | −0.366460 | − | 2.07830i | −0.0263783 | − | 0.149599i | 0.968774 | − | 0.247946i | \(-0.0797556\pi\) |
−0.995152 | + | 0.0983471i | \(0.968644\pi\) | |||||||
\(194\) | −13.0028 | − | 8.92712i | −0.933547 | − | 0.640930i | ||||
\(195\) | −0.667121 | − | 1.62489i | −0.0477735 | − | 0.116361i | ||||
\(196\) | 6.67108 | − | 8.25478i | 0.476506 | − | 0.589627i | ||||
\(197\) | 5.72884 | − | 9.92264i | 0.408163 | − | 0.706959i | −0.586521 | − | 0.809934i | \(-0.699503\pi\) |
0.994684 | + | 0.102975i | \(0.0328362\pi\) | |||||||
\(198\) | −0.0371893 | + | 0.0648599i | −0.00264293 | + | 0.00460939i | ||||
\(199\) | 4.92181 | − | 2.84161i | 0.348898 | − | 0.201436i | −0.315302 | − | 0.948991i | \(-0.602106\pi\) |
0.664200 | + | 0.747555i | \(0.268772\pi\) | |||||||
\(200\) | 12.4426 | + | 5.38824i | 0.879821 | + | 0.381006i | ||||
\(201\) | 6.18622 | − | 5.63323i | 0.436342 | − | 0.397337i | ||||
\(202\) | −21.2933 | + | 10.1693i | −1.49819 | + | 0.715510i | ||||
\(203\) | −6.08110 | − | 7.24717i | −0.426809 | − | 0.508652i | ||||
\(204\) | 1.17738 | + | 4.95057i | 0.0824331 | + | 0.346609i | ||||
\(205\) | 0.378123 | + | 1.03889i | 0.0264093 | + | 0.0725589i | ||||
\(206\) | −21.7395 | + | 6.04047i | −1.51466 | + | 0.420859i | ||||
\(207\) | −1.61364 | − | 6.17603i | −0.112156 | − | 0.429264i | ||||
\(208\) | 0.329486 | + | 8.92881i | 0.0228457 | + | 0.619102i | ||||
\(209\) | 0.0235273 | + | 0.00414851i | 0.00162742 | + | 0.000286958i | ||||
\(210\) | −0.197637 | − | 1.43355i | −0.0136382 | − | 0.0989243i | ||||
\(211\) | 15.6412 | + | 5.69295i | 1.07679 | + | 0.391919i | 0.818711 | − | 0.574206i | \(-0.194689\pi\) |
0.258077 | + | 0.966124i | \(0.416911\pi\) | |||||||
\(212\) | −6.75790 | + | 19.6896i | −0.464134 | + | 1.35229i | ||||
\(213\) | −9.32948 | − | 14.7456i | −0.639246 | − | 1.01036i | ||||
\(214\) | −7.75272 | + | 5.53575i | −0.529965 | + | 0.378416i | ||||
\(215\) | −4.92591 | −0.335945 | ||||||||
\(216\) | −13.4730 | + | 5.87189i | −0.916719 | + | 0.399531i | ||||
\(217\) | 11.7302 | 0.796300 | ||||||||
\(218\) | −3.35725 | + | 2.39721i | −0.227382 | + | 0.162359i | ||||
\(219\) | −0.546232 | + | 1.04136i | −0.0369109 | + | 0.0703685i | ||||
\(220\) | −0.0151346 | − | 0.00519453i | −0.00102038 | − | 0.000350215i | ||||
\(221\) | −3.08338 | − | 1.12226i | −0.207410 | − | 0.0754912i | ||||
\(222\) | 12.0170 | + | 4.89189i | 0.806525 | + | 0.328322i | ||||
\(223\) | −2.73564 | − | 0.482367i | −0.183192 | − | 0.0323017i | 0.0812995 | − | 0.996690i | \(-0.474093\pi\) |
−0.264491 | + | 0.964388i | \(0.585204\pi\) | |||||||
\(224\) | −1.57545 | + | 7.19049i | −0.105264 | + | 0.480435i | ||||
\(225\) | −11.7291 | − | 8.32230i | −0.781938 | − | 0.554820i | ||||
\(226\) | −26.5789 | + | 7.38512i | −1.76800 | + | 0.491251i | ||||
\(227\) | −8.45693 | − | 23.2352i | −0.561306 | − | 1.54218i | −0.817724 | − | 0.575611i | \(-0.804764\pi\) |
0.256418 | − | 0.966566i | \(-0.417458\pi\) | |||||||
\(228\) | 3.22540 | + | 3.41340i | 0.213607 | + | 0.226058i | ||||
\(229\) | −10.0744 | − | 12.0062i | −0.665736 | − | 0.793393i | 0.322461 | − | 0.946583i | \(-0.395490\pi\) |
−0.988197 | + | 0.153190i | \(0.951045\pi\) | |||||||
\(230\) | 1.23279 | − | 0.588758i | 0.0812876 | − | 0.0388216i | ||||
\(231\) | −0.00847561 | − | 0.0388034i | −0.000557654 | − | 0.00255307i | ||||
\(232\) | −18.8700 | − | 8.17163i | −1.23887 | − | 0.536494i | ||||
\(233\) | 17.5198 | − | 10.1151i | 1.14776 | − | 0.662659i | 0.199419 | − | 0.979914i | \(-0.436094\pi\) |
0.948340 | + | 0.317255i | \(0.102761\pi\) | |||||||
\(234\) | 1.61779 | − | 9.33777i | 0.105758 | − | 0.610429i | ||||
\(235\) | 1.03456 | − | 1.79190i | 0.0674870 | − | 0.116891i | ||||
\(236\) | −17.0698 | − | 13.7949i | −1.11115 | − | 0.897975i | ||||
\(237\) | −8.55901 | + | 11.0826i | −0.555968 | + | 0.719891i | ||||
\(238\) | −2.22861 | − | 1.53006i | −0.144459 | − | 0.0991789i | ||||
\(239\) | 1.48780 | + | 8.43773i | 0.0962378 | + | 0.545791i | 0.994361 | + | 0.106048i | \(0.0338196\pi\) |
−0.898123 | + | 0.439744i | \(0.855069\pi\) | |||||||
\(240\) | −1.77863 | − | 2.59427i | −0.114810 | − | 0.167459i | ||||
\(241\) | 11.0727 | + | 9.29110i | 0.713255 | + | 0.598492i | 0.925510 | − | 0.378722i | \(-0.123636\pi\) |
−0.212255 | + | 0.977214i | \(0.568081\pi\) | |||||||
\(242\) | 15.0623 | + | 3.88744i | 0.968244 | + | 0.249894i | ||||
\(243\) | 15.2697 | − | 3.13622i | 0.979552 | − | 0.201189i | ||||
\(244\) | −8.71818 | + | 15.7648i | −0.558124 | + | 1.00924i | ||||
\(245\) | −1.84561 | − | 1.54865i | −0.117912 | − | 0.0989395i | ||||
\(246\) | −1.25546 | + | 5.83120i | −0.0800455 | + | 0.371784i | ||||
\(247\) | −2.98221 | + | 0.525844i | −0.189754 | + | 0.0334587i | ||||
\(248\) | 22.8011 | − | 11.4105i | 1.44787 | − | 0.724565i | ||||
\(249\) | 2.12666 | − | 2.75370i | 0.134772 | − | 0.174508i | ||||
\(250\) | 2.60486 | − | 5.72335i | 0.164746 | − | 0.361977i | ||||
\(251\) | 12.7128 | + | 7.33976i | 0.802427 | + | 0.463281i | 0.844319 | − | 0.535841i | \(-0.180005\pi\) |
−0.0418921 | + | 0.999122i | \(0.513339\pi\) | |||||||
\(252\) | 3.21303 | − | 7.11582i | 0.202402 | − | 0.448254i | ||||
\(253\) | 0.0324730 | − | 0.0187483i | 0.00204156 | − | 0.00117869i | ||||
\(254\) | 2.35881 | + | 24.3708i | 0.148005 | + | 1.52916i | ||||
\(255\) | 1.12853 | − | 0.246498i | 0.0706711 | − | 0.0154363i | ||||
\(256\) | 3.93214 | + | 15.5093i | 0.245759 | + | 0.969331i | ||||
\(257\) | −14.4703 | − | 17.2450i | −0.902633 | − | 1.07572i | −0.996782 | − | 0.0801575i | \(-0.974458\pi\) |
0.0941497 | − | 0.995558i | \(-0.469987\pi\) | |||||||
\(258\) | −22.5014 | − | 14.1427i | −1.40087 | − | 0.880483i | ||||
\(259\) | −6.47689 | + | 2.35739i | −0.402454 | + | 0.146481i | ||||
\(260\) | 2.02789 | − | 0.0374033i | 0.125765 | − | 0.00231966i | ||||
\(261\) | 17.7879 | + | 12.6213i | 1.10104 | + | 0.781240i | ||||
\(262\) | −3.11002 | − | 3.05318i | −0.192138 | − | 0.188626i | ||||
\(263\) | 3.07511 | − | 17.4398i | 0.189620 | − | 1.07539i | −0.730255 | − | 0.683175i | \(-0.760599\pi\) |
0.919875 | − | 0.392212i | \(-0.128290\pi\) | |||||||
\(264\) | −0.0542204 | − | 0.0671809i | −0.00333703 | − | 0.00413470i | ||||
\(265\) | 4.44053 | + | 1.61622i | 0.272780 | + | 0.0992836i | ||||
\(266\) | −2.48722 | − | 0.194511i | −0.152501 | − | 0.0119262i | ||||
\(267\) | −0.183744 | − | 0.0963806i | −0.0112449 | − | 0.00589839i | ||||
\(268\) | 3.47115 | + | 9.01598i | 0.212034 | + | 0.550739i | ||||
\(269\) | 10.2475 | 0.624803 | 0.312402 | − | 0.949950i | \(-0.398867\pi\) | ||||
0.312402 | + | 0.949950i | \(0.398867\pi\) | |||||||
\(270\) | 1.27630 | + | 3.08245i | 0.0776734 | + | 0.187592i | ||||
\(271\) | − | 18.7315i | − | 1.13786i | −0.822386 | − | 0.568929i | \(-0.807358\pi\) | ||
0.822386 | − | 0.568929i | \(-0.192642\pi\) | |||||||
\(272\) | −5.82029 | − | 0.806251i | −0.352907 | − | 0.0488861i | ||||
\(273\) | 2.69177 | + | 4.25446i | 0.162913 | + | 0.257492i | ||||
\(274\) | 16.6136 | + | 1.29925i | 1.00366 | + | 0.0784906i | ||||
\(275\) | 0.0288937 | − | 0.0793847i | 0.00174235 | − | 0.00478708i | ||||
\(276\) | 7.32169 | + | 0.850002i | 0.440714 | + | 0.0511641i | ||||
\(277\) | 21.4560 | + | 3.78327i | 1.28917 | + | 0.227315i | 0.775868 | − | 0.630895i | \(-0.217312\pi\) |
0.513299 | + | 0.858210i | \(0.328423\pi\) | |||||||
\(278\) | 5.30823 | − | 5.40704i | 0.318366 | − | 0.324293i | ||||
\(279\) | −26.1651 | + | 6.83628i | −1.56646 | + | 0.409277i | ||||
\(280\) | 1.62538 | + | 0.387671i | 0.0971353 | + | 0.0231678i | ||||
\(281\) | −3.95262 | − | 10.8597i | −0.235793 | − | 0.647837i | −0.999996 | − | 0.00286067i | \(-0.999089\pi\) |
0.764203 | − | 0.644976i | \(-0.223133\pi\) | |||||||
\(282\) | 9.87049 | − | 5.21505i | 0.587779 | − | 0.310552i | ||||
\(283\) | −3.28791 | + | 2.75888i | −0.195446 | + | 0.163998i | −0.735259 | − | 0.677786i | \(-0.762939\pi\) |
0.539813 | + | 0.841785i | \(0.318495\pi\) | |||||||
\(284\) | 19.7746 | − | 3.86409i | 1.17340 | − | 0.229291i | ||||
\(285\) | 0.788218 | − | 0.717759i | 0.0466900 | − | 0.0425164i | ||||
\(286\) | 0.0554093 | − | 0.00536297i | 0.00327642 | − | 0.000317119i | ||||
\(287\) | −1.58437 | − | 2.74421i | −0.0935226 | − | 0.161986i | ||||
\(288\) | −0.676401 | − | 16.9571i | −0.0398573 | − | 0.999205i | ||||
\(289\) | −7.42107 | + | 12.8537i | −0.436533 | + | 0.756098i | ||||
\(290\) | −1.93366 | + | 4.24859i | −0.113548 | + | 0.249486i | ||||
\(291\) | −17.8696 | + | 7.33663i | −1.04754 | + | 0.430081i | ||||
\(292\) | −0.891837 | − | 1.02389i | −0.0521908 | − | 0.0599189i | ||||
\(293\) | −2.18285 | − | 12.3796i | −0.127523 | − | 0.723221i | −0.979777 | − | 0.200092i | \(-0.935876\pi\) |
0.852254 | − | 0.523129i | \(-0.175235\pi\) | |||||||
\(294\) | −3.98437 | − | 12.3730i | −0.232373 | − | 0.721610i | ||||
\(295\) | −3.20241 | + | 3.81648i | −0.186451 | + | 0.222204i | ||||
\(296\) | −10.2966 | + | 10.8826i | −0.598476 | + | 0.632538i | ||||
\(297\) | 0.0415197 | + | 0.0816142i | 0.00240922 | + | 0.00473574i | ||||
\(298\) | −19.6485 | − | 5.07107i | −1.13820 | − | 0.293759i | ||||
\(299\) | −3.05509 | + | 3.64092i | −0.176681 | + | 0.210560i | ||||
\(300\) | 13.8674 | − | 9.13622i | 0.800635 | − | 0.527480i | ||||
\(301\) | 13.9041 | − | 2.45167i | 0.801421 | − | 0.141312i | ||||
\(302\) | 9.52027 | − | 13.8668i | 0.547830 | − | 0.797943i | ||||
\(303\) | −3.86160 | + | 28.6412i | −0.221843 | + | 1.64539i | ||||
\(304\) | −5.02384 | + | 2.04133i | −0.288137 | + | 0.117078i | ||||
\(305\) | 3.54153 | + | 2.04470i | 0.202787 | + | 0.117079i | ||||
\(306\) | 5.86277 | + | 2.11409i | 0.335153 | + | 0.120854i | ||||
\(307\) | 7.46768 | + | 12.9344i | 0.426203 | + | 0.738205i | 0.996532 | − | 0.0832113i | \(-0.0265176\pi\) |
−0.570329 | + | 0.821416i | \(0.693184\pi\) | |||||||
\(308\) | 0.0453051 | + | 0.00712969i | 0.00258150 | + | 0.000406252i | ||||
\(309\) | −8.39186 | + | 26.3290i | −0.477396 | + | 1.49780i | ||||
\(310\) | −2.49431 | − | 5.22278i | −0.141667 | − | 0.296634i | ||||
\(311\) | 0.935160 | − | 0.784692i | 0.0530280 | − | 0.0444958i | −0.615888 | − | 0.787833i | \(-0.711203\pi\) |
0.668916 | + | 0.743338i | \(0.266758\pi\) | |||||||
\(312\) | 9.37072 | + | 5.65137i | 0.530512 | + | 0.319946i | ||||
\(313\) | −3.74180 | + | 1.36190i | −0.211499 | + | 0.0769794i | −0.445597 | − | 0.895234i | \(-0.647009\pi\) |
0.234098 | + | 0.972213i | \(0.424786\pi\) | |||||||
\(314\) | 22.9102 | − | 6.36576i | 1.29290 | − | 0.359241i | ||||
\(315\) | −1.60158 | − | 0.759028i | −0.0902389 | − | 0.0427664i | ||||
\(316\) | −8.34141 | − | 13.8514i | −0.469241 | − | 0.779202i | ||||
\(317\) | −1.28552 | + | 7.29053i | −0.0722018 | + | 0.409477i | 0.927190 | + | 0.374593i | \(0.122217\pi\) |
−0.999391 | + | 0.0348844i | \(0.988894\pi\) | |||||||
\(318\) | 15.6439 | + | 20.1319i | 0.877264 | + | 1.12894i | ||||
\(319\) | −0.0438192 | + | 0.120392i | −0.00245340 | + | 0.00674067i | ||||
\(320\) | 3.53651 | − | 0.827527i | 0.197697 | − | 0.0462601i | ||||
\(321\) | 0.472559 | + | 11.6576i | 0.0263757 | + | 0.650666i | ||||
\(322\) | −3.18670 | + | 2.27543i | −0.177588 | + | 0.126805i | ||||
\(323\) | − | 1.99145i | − | 0.110807i | ||||||
\(324\) | −3.01985 | + | 17.7449i | −0.167769 | + | 0.985826i | ||||
\(325\) | 10.7082i | 0.593984i | ||||||||
\(326\) | 8.36400 | + | 11.7136i | 0.463239 | + | 0.648759i | ||||
\(327\) | 0.204638 | + | 5.04824i | 0.0113165 | + | 0.279168i | ||||
\(328\) | −5.74909 | − | 3.79299i | −0.317440 | − | 0.209433i | ||||
\(329\) | −2.02834 | + | 5.57283i | −0.111826 | + | 0.307240i | ||||
\(330\) | −0.0154746 | + | 0.0120248i | −0.000851849 | + | 0.000661944i | ||||
\(331\) | 0.520452 | − | 2.95163i | 0.0286066 | − | 0.162236i | −0.967158 | − | 0.254176i | \(-0.918196\pi\) |
0.995765 | + | 0.0919400i | \(0.0293068\pi\) | |||||||
\(332\) | 2.07260 | + | 3.44167i | 0.113749 | + | 0.188886i | ||||
\(333\) | 13.0733 | − | 9.03302i | 0.716412 | − | 0.495006i | ||||
\(334\) | 6.07269 | + | 21.8554i | 0.332283 | + | 1.19588i | ||||
\(335\) | 2.06083 | − | 0.750081i | 0.112595 | − | 0.0409813i | ||||
\(336\) | 6.31165 | + | 6.43746i | 0.344329 | + | 0.351192i | ||||
\(337\) | −10.0788 | + | 8.45709i | −0.549025 | + | 0.460687i | −0.874611 | − | 0.484826i | \(-0.838883\pi\) |
0.325586 | + | 0.945513i | \(0.394439\pi\) | |||||||
\(338\) | 10.2226 | − | 4.88212i | 0.556034 | − | 0.265552i | ||||
\(339\) | −10.2600 | + | 32.1900i | −0.557244 | + | 1.74832i | ||||
\(340\) | −0.207355 | + | 1.31762i | −0.0112454 | + | 0.0714579i | ||||
\(341\) | −0.0794281 | − | 0.137574i | −0.00430127 | − | 0.00745003i | ||||
\(342\) | 5.66129 | − | 1.01566i | 0.306127 | − | 0.0549206i | ||||
\(343\) | 13.8688 | + | 8.00714i | 0.748844 | + | 0.432345i | ||||
\(344\) | 24.6418 | − | 18.2906i | 1.32860 | − | 0.986165i | ||||
\(345\) | 0.223570 | − | 1.65820i | 0.0120366 | − | 0.0892744i | ||||
\(346\) | −15.7822 | − | 10.8353i | −0.848459 | − | 0.582512i | ||||
\(347\) | 28.8369 | − | 5.08472i | 1.54804 | − | 0.272962i | 0.666660 | − | 0.745362i | \(-0.267723\pi\) |
0.881385 | + | 0.472400i | \(0.156612\pi\) | |||||||
\(348\) | −21.0309 | + | 13.8557i | −1.12737 | + | 0.742743i | ||||
\(349\) | −13.4766 | + | 16.0608i | −0.721385 | + | 0.859713i | −0.994765 | − | 0.102193i | \(-0.967414\pi\) |
0.273380 | + | 0.961906i | \(0.411859\pi\) | |||||||
\(350\) | −2.20463 | + | 8.54210i | −0.117843 | + | 0.456595i | ||||
\(351\) | −8.48366 | − | 7.92114i | −0.452824 | − | 0.422799i | ||||
\(352\) | 0.0949988 | − | 0.0302114i | 0.00506345 | − | 0.00161028i | ||||
\(353\) | 2.02760 | − | 2.41640i | 0.107918 | − | 0.128612i | −0.709381 | − | 0.704825i | \(-0.751026\pi\) |
0.817300 | + | 0.576213i | \(0.195470\pi\) | |||||||
\(354\) | −25.5858 | + | 8.23917i | −1.35987 | + | 0.437907i | ||||
\(355\) | −0.794226 | − | 4.50428i | −0.0421532 | − | 0.239062i | ||||
\(356\) | 0.180662 | − | 0.157361i | 0.00957507 | − | 0.00834013i | ||||
\(357\) | −3.06275 | + | 1.25746i | −0.162098 | + | 0.0665516i | ||||
\(358\) | 14.6385 | + | 6.66240i | 0.773667 | + | 0.352119i | ||||
\(359\) | −15.2950 | + | 26.4917i | −0.807240 | + | 1.39818i | 0.107529 | + | 0.994202i | \(0.465706\pi\) |
−0.914768 | + | 0.403979i | \(0.867627\pi\) | |||||||
\(360\) | −3.85147 | + | 0.0825326i | −0.202990 | + | 0.00434985i | ||||
\(361\) | 8.58106 | + | 14.8628i | 0.451635 | + | 0.782255i | ||||
\(362\) | −2.01949 | − | 20.8651i | −0.106142 | − | 1.09664i | ||||
\(363\) | 14.0867 | − | 12.8275i | 0.739360 | − | 0.673268i | ||||
\(364\) | −5.70542 | + | 1.11488i | −0.299045 | + | 0.0584355i | ||||
\(365\) | −0.236120 | + | 0.198128i | −0.0123591 | + | 0.0103705i | ||||
\(366\) | 10.3071 | + | 19.5081i | 0.538758 | + | 1.01970i | ||||
\(367\) | −7.65245 | − | 21.0249i | −0.399455 | − | 1.09749i | −0.962551 | − | 0.271101i | \(-0.912612\pi\) |
0.563096 | − | 0.826391i | \(-0.309610\pi\) | |||||||
\(368\) | −3.98087 | + | 7.52278i | −0.207517 | + | 0.392152i | ||||
\(369\) | 5.13336 | + | 5.19781i | 0.267232 | + | 0.270587i | ||||
\(370\) | 2.42685 | + | 2.38250i | 0.126166 | + | 0.123860i | ||||
\(371\) | −13.3385 | − | 2.35193i | −0.692499 | − | 0.122106i | ||||
\(372\) | 3.60108 | − | 31.0188i | 0.186707 | − | 1.60825i | ||||
\(373\) | 3.91132 | − | 10.7463i | 0.202521 | − | 0.556421i | −0.796304 | − | 0.604897i | \(-0.793214\pi\) |
0.998824 | + | 0.0484764i | \(0.0154366\pi\) | |||||||
\(374\) | −0.00285428 | + | 0.0364978i | −0.000147591 | + | 0.00188725i | ||||
\(375\) | −4.11773 | − | 6.50825i | −0.212639 | − | 0.336085i | ||||
\(376\) | 1.47824 | + | 12.8054i | 0.0762346 | + | 0.660390i | ||||
\(377\) | − | 16.2397i | − | 0.836387i | ||||||
\(378\) | −5.13673 | − | 8.06546i | −0.264205 | − | 0.414843i | ||||
\(379\) | −21.7004 | −1.11468 | −0.557338 | − | 0.830286i | \(-0.688177\pi\) | ||||
−0.557338 | + | 0.830286i | \(0.688177\pi\) | |||||||
\(380\) | 0.442277 | + | 1.14877i | 0.0226883 | + | 0.0589308i | ||||
\(381\) | 26.5560 | + | 13.9296i | 1.36050 | + | 0.713635i | ||||
\(382\) | 2.07826 | − | 26.5748i | 0.106333 | − | 1.35969i | ||||
\(383\) | 31.1726 | + | 11.3459i | 1.59285 | + | 0.579749i | 0.977946 | − | 0.208856i | \(-0.0669740\pi\) |
0.614900 | + | 0.788605i | \(0.289196\pi\) | |||||||
\(384\) | 18.5305 | + | 6.37346i | 0.945630 | + | 0.325244i | ||||
\(385\) | 0.00180784 | − | 0.0102528i | 9.21359e−5 | − | 0.000522529i | ||||
\(386\) | 2.09081 | − | 2.12973i | 0.106419 | − | 0.108400i | ||||
\(387\) | −29.5854 | + | 13.5718i | −1.50391 | + | 0.689896i | ||||
\(388\) | −0.411341 | − | 22.3017i | −0.0208827 | − | 1.13220i | ||||
\(389\) | 6.54404 | − | 2.38183i | 0.331796 | − | 0.120764i | −0.170750 | − | 0.985314i | \(-0.554619\pi\) |
0.502546 | + | 0.864551i | \(0.332397\pi\) | |||||||
\(390\) | 1.32188 | − | 2.10315i | 0.0669362 | − | 0.106497i | ||||
\(391\) | −2.00913 | − | 2.39438i | −0.101606 | − | 0.121089i | ||||
\(392\) | 14.9830 | + | 0.894090i | 0.756755 | + | 0.0451584i | ||||
\(393\) | −5.21477 | + | 1.13903i | −0.263050 | + | 0.0574567i | ||||
\(394\) | 16.1282 | − | 1.56102i | 0.812529 | − | 0.0786432i | ||||
\(395\) | −3.17868 | + | 1.83521i | −0.159937 | + | 0.0923395i | ||||
\(396\) | −0.105211 | + | 0.0105001i | −0.00528707 | + | 0.000527651i | ||||
\(397\) | −31.8597 | − | 18.3942i | −1.59899 | − | 0.923178i | −0.991682 | − | 0.128712i | \(-0.958916\pi\) |
−0.607308 | − | 0.794466i | \(-0.707751\pi\) | |||||||
\(398\) | 7.31526 | + | 3.32939i | 0.366681 | + | 0.166887i | ||||
\(399\) | −1.86763 | + | 2.41829i | −0.0934984 | + | 0.121066i | ||||
\(400\) | 4.02391 | + | 18.7486i | 0.201195 | + | 0.937428i | ||||
\(401\) | 3.00611 | − | 0.530059i | 0.150118 | − | 0.0264699i | −0.0980840 | − | 0.995178i | \(-0.531271\pi\) |
0.248202 | + | 0.968708i | \(0.420160\pi\) | |||||||
\(402\) | 11.5673 | + | 2.49046i | 0.576925 | + | 0.124213i | ||||
\(403\) | 15.4250 | + | 12.9431i | 0.768372 | + | 0.644740i | ||||
\(404\) | −29.2031 | − | 16.1498i | −1.45291 | − | 0.803483i | ||||
\(405\) | 4.01480 | + | 0.759679i | 0.199497 | + | 0.0377487i | ||||
\(406\) | 3.34347 | − | 12.9547i | 0.165934 | − | 0.642930i | ||||
\(407\) | 0.0715044 | + | 0.0599993i | 0.00354434 | + | 0.00297406i | ||||
\(408\) | −4.73016 | + | 5.42349i | −0.234178 | + | 0.268503i | ||||
\(409\) | −4.18256 | − | 23.7205i | −0.206814 | − | 1.17290i | −0.894559 | − | 0.446949i | \(-0.852511\pi\) |
0.687745 | − | 0.725952i | \(-0.258601\pi\) | |||||||
\(410\) | −0.884936 | + | 1.28896i | −0.0437039 | + | 0.0636570i | ||||
\(411\) | 12.4750 | − | 16.1531i | 0.615345 | − | 0.796776i | ||||
\(412\) | −24.8178 | − | 20.0564i | −1.22268 | − | 0.988110i | ||||
\(413\) | 7.13978 | − | 12.3665i | 0.351326 | − | 0.608514i | ||||
\(414\) | 5.78206 | − | 6.93269i | 0.284173 | − | 0.340723i | ||||
\(415\) | 0.789809 | − | 0.455997i | 0.0387702 | − | 0.0223840i | ||||
\(416\) | −10.0056 | + | 7.71698i | −0.490567 | + | 0.378356i | ||||
\(417\) | −1.98031 | − | 9.06633i | −0.0969762 | − | 0.443980i | ||||
\(418\) | 0.0145603 | + | 0.0304875i | 0.000712168 | + | 0.00149119i | ||||
\(419\) | −19.0854 | − | 22.7451i | −0.932383 | − | 1.11117i | −0.993590 | − | 0.113046i | \(-0.963939\pi\) |
0.0612068 | − | 0.998125i | \(-0.480505\pi\) | |||||||
\(420\) | 1.48749 | − | 1.40557i | 0.0725821 | − | 0.0685846i | ||||
\(421\) | 9.82045 | + | 26.9815i | 0.478619 | + | 1.31500i | 0.910666 | + | 0.413144i | \(0.135570\pi\) |
−0.432046 | + | 0.901851i | \(0.642208\pi\) | |||||||
\(422\) | 6.30192 | + | 22.6804i | 0.306773 | + | 1.10407i | ||||
\(423\) | 1.27657 | − | 13.6127i | 0.0620689 | − | 0.661872i | ||||
\(424\) | −28.2150 | + | 8.40321i | −1.37024 | + | 0.408096i | ||||
\(425\) | −6.93506 | − | 1.22284i | −0.336400 | − | 0.0593164i | ||||
\(426\) | 9.30413 | − | 22.8556i | 0.450786 | − | 1.10736i | ||||
\(427\) | −11.0142 | − | 4.00883i | −0.533013 | − | 0.194001i | ||||
\(428\) | −12.7425 | − | 4.37350i | −0.615931 | − | 0.211401i | ||||
\(429\) | 0.0316702 | − | 0.0603774i | 0.00152905 | − | 0.00291505i | ||||
\(430\) | −4.04815 | − | 5.66937i | −0.195219 | − | 0.273401i | ||||
\(431\) | −26.5585 | −1.27928 | −0.639639 | − | 0.768675i | \(-0.720916\pi\) | ||||
−0.639639 | + | 0.768675i | \(0.720916\pi\) | |||||||
\(432\) | −17.8303 | − | 10.6808i | −0.857861 | − | 0.513882i | ||||
\(433\) | −1.55270 | −0.0746180 | −0.0373090 | − | 0.999304i | \(-0.511879\pi\) | ||||
−0.0373090 | + | 0.999304i | \(0.511879\pi\) | |||||||
\(434\) | 9.63998 | + | 13.5006i | 0.462734 | + | 0.648051i | ||||
\(435\) | 3.05670 | + | 4.83124i | 0.146557 | + | 0.231640i | ||||
\(436\) | −5.51802 | − | 1.89390i | −0.264265 | − | 0.0907016i | ||||
\(437\) | −2.71064 | − | 0.986591i | −0.129667 | − | 0.0471951i | ||||
\(438\) | −1.64743 | + | 0.227123i | −0.0787170 | + | 0.0108524i | ||||
\(439\) | 1.13120 | + | 0.199460i | 0.0539891 | + | 0.00951973i | 0.200577 | − | 0.979678i | \(-0.435718\pi\) |
−0.146588 | + | 0.989198i | \(0.546829\pi\) | |||||||
\(440\) | −0.00645921 | − | 0.0216877i | −0.000307931 | − | 0.00103392i | ||||
\(441\) | −15.3517 | − | 4.21628i | −0.731032 | − | 0.200775i | ||||
\(442\) | −1.24231 | − | 4.47102i | −0.0590904 | − | 0.212665i | ||||
\(443\) | 5.79518 | + | 15.9221i | 0.275337 | + | 0.756483i | 0.997875 | + | 0.0651518i | \(0.0207532\pi\) |
−0.722538 | + | 0.691331i | \(0.757025\pi\) | |||||||
\(444\) | 4.24541 | + | 17.8508i | 0.201478 | + | 0.847163i | ||||
\(445\) | −0.0349590 | − | 0.0416625i | −0.00165721 | − | 0.00197499i | ||||
\(446\) | −1.69300 | − | 3.54493i | −0.0801658 | − | 0.167857i | ||||
\(447\) | −18.3758 | + | 16.7331i | −0.869143 | + | 0.791450i | ||||
\(448\) | −9.57045 | + | 4.09597i | −0.452161 | + | 0.193516i | ||||
\(449\) | −26.5725 | + | 15.3416i | −1.25403 | + | 0.724017i | −0.971908 | − | 0.235361i | \(-0.924373\pi\) |
−0.282126 | + | 0.959377i | \(0.591039\pi\) | |||||||
\(450\) | −0.0606753 | − | 20.3386i | −0.00286026 | − | 0.958772i | ||||
\(451\) | −0.0214563 | + | 0.0371634i | −0.00101034 | + | 0.00174996i | ||||
\(452\) | −30.3424 | − | 24.5212i | −1.42719 | − | 1.15338i | ||||
\(453\) | −7.82410 | − | 19.0570i | −0.367608 | − | 0.895374i | ||||
\(454\) | 19.7921 | − | 28.8282i | 0.928889 | − | 1.35297i | ||||
\(455\) | 0.229153 | + | 1.29959i | 0.0107428 | + | 0.0609257i | ||||
\(456\) | −1.27791 | + | 6.51735i | −0.0598436 | + | 0.305203i | ||||
\(457\) | 5.48725 | + | 4.60435i | 0.256683 | + | 0.215382i | 0.762044 | − | 0.647526i | \(-0.224196\pi\) |
−0.505361 | + | 0.862908i | \(0.668641\pi\) | |||||||
\(458\) | 5.53905 | − | 21.4617i | 0.258823 | − | 1.00284i | ||||
\(459\) | 6.09886 | − | 4.58979i | 0.284670 | − | 0.214233i | ||||
\(460\) | 1.69073 | + | 0.935003i | 0.0788308 | + | 0.0435948i | ||||
\(461\) | 6.34887 | + | 5.32733i | 0.295696 | + | 0.248119i | 0.778550 | − | 0.627582i | \(-0.215955\pi\) |
−0.482854 | + | 0.875701i | \(0.660400\pi\) | |||||||
\(462\) | 0.0376945 | − | 0.0416437i | 0.00175371 | − | 0.00193744i | ||||
\(463\) | 0.381159 | − | 0.0672086i | 0.0177140 | − | 0.00312345i | −0.164784 | − | 0.986330i | \(-0.552693\pi\) |
0.182498 | + | 0.983206i | \(0.441582\pi\) | |||||||
\(464\) | −6.10253 | − | 28.4335i | −0.283303 | − | 1.31999i | ||||
\(465\) | −7.02505 | − | 0.947165i | −0.325779 | − | 0.0439237i | ||||
\(466\) | 26.0396 | + | 11.8514i | 1.20626 | + | 0.549004i | ||||
\(467\) | −5.76908 | − | 3.33078i | −0.266961 | − | 0.154130i | 0.360545 | − | 0.932742i | \(-0.382591\pi\) |
−0.627506 | + | 0.778612i | \(0.715924\pi\) | |||||||
\(468\) | 12.0766 | − | 5.81189i | 0.558241 | − | 0.268655i | ||||
\(469\) | −5.44368 | + | 3.14291i | −0.251366 | + | 0.145126i | ||||
\(470\) | 2.91256 | − | 0.281901i | 0.134346 | − | 0.0130031i | ||||
\(471\) | 8.84379 | − | 27.7469i | 0.407500 | − | 1.27851i | ||||
\(472\) | 1.84886 | − | 30.9829i | 0.0851009 | − | 1.42610i | ||||
\(473\) | −0.122902 | − | 0.146469i | −0.00565103 | − | 0.00673463i | ||||
\(474\) | −19.7891 | − | 0.743054i | −0.908943 | − | 0.0341296i | ||||
\(475\) | −6.10704 | + | 2.22278i | −0.280210 | + | 0.101988i | ||||
\(476\) | −0.0705015 | − | 3.82238i | −0.00323143 | − | 0.175198i | ||||
\(477\) | 31.1231 | − | 2.52739i | 1.42503 | − | 0.115721i | ||||
\(478\) | −8.48853 | + | 8.64654i | −0.388256 | + | 0.395483i | ||||
\(479\) | −0.196814 | + | 1.11619i | −0.00899268 | + | 0.0510000i | −0.988974 | − | 0.148090i | \(-0.952687\pi\) |
0.979981 | + | 0.199090i | \(0.0637986\pi\) | |||||||
\(480\) | 1.52412 | − | 4.17906i | 0.0695660 | − | 0.190747i | ||||
\(481\) | −11.1181 | − | 4.04665i | −0.506941 | − | 0.184511i | ||||
\(482\) | −1.59375 | + | 20.3794i | −0.0725934 | + | 0.928255i | ||||
\(483\) | 0.194242 | + | 4.79179i | 0.00883832 | + | 0.218034i | ||||
\(484\) | 7.90418 | + | 20.5304i | 0.359281 | + | 0.933199i | ||||
\(485\) | −5.06338 | −0.229916 | ||||||||
\(486\) | 16.1583 | + | 14.9970i | 0.732956 | + | 0.680276i | ||||
\(487\) | − | 41.9634i | − | 1.90154i | −0.309896 | − | 0.950771i | \(-0.600294\pi\) | ||
0.309896 | − | 0.950771i | \(-0.399706\pi\) | |||||||
\(488\) | −25.3087 | + | 2.92161i | −1.14567 | + | 0.132255i | ||||
\(489\) | 17.6136 | − | 0.713993i | 0.796515 | − | 0.0322879i | ||||
\(490\) | 0.265648 | − | 3.39685i | 0.0120007 | − | 0.153454i | ||||
\(491\) | −7.04382 | + | 19.3527i | −0.317883 | + | 0.873377i | 0.673119 | + | 0.739534i | \(0.264954\pi\) |
−0.991003 | + | 0.133843i | \(0.957268\pi\) | |||||||
\(492\) | −7.74303 | + | 3.34718i | −0.349083 | + | 0.150902i | ||||
\(493\) | 10.5175 | + | 1.85452i | 0.473684 | + | 0.0835233i | ||||
\(494\) | −3.05601 | − | 3.00016i | −0.137496 | − | 0.134984i | ||||
\(495\) | 0.00194271 | + | 0.0239231i | 8.73182e−5 | + | 0.00107526i | ||||
\(496\) | 31.8707 | + | 16.8652i | 1.43104 | + | 0.757268i | ||||
\(497\) | 4.48365 | + | 12.3187i | 0.201119 | + | 0.552570i | ||||
\(498\) | 4.91701 | + | 0.184627i | 0.220337 | + | 0.00827334i | ||||
\(499\) | 7.68110 | − | 6.44521i | 0.343853 | − | 0.288527i | −0.454463 | − | 0.890766i | \(-0.650169\pi\) |
0.798316 | + | 0.602239i | \(0.205724\pi\) | |||||||
\(500\) | 8.72786 | − | 1.70548i | 0.390322 | − | 0.0762715i | ||||
\(501\) | 26.4694 | + | 8.43663i | 1.18257 | + | 0.376921i | ||||
\(502\) | 1.99997 | + | 20.6634i | 0.0892632 | + | 0.922253i | ||||
\(503\) | 12.3849 | + | 21.4513i | 0.552216 | + | 0.956466i | 0.998114 | + | 0.0613824i | \(0.0195509\pi\) |
−0.445898 | + | 0.895084i | \(0.647116\pi\) | |||||||
\(504\) | 10.8303 | − | 2.14987i | 0.482419 | − | 0.0957630i | ||||
\(505\) | −3.78767 | + | 6.56044i | −0.168549 | + | 0.291936i | ||||
\(506\) | 0.0482644 | + | 0.0219665i | 0.00214562 | + | 0.000976532i | ||||
\(507\) | 1.85389 | − | 13.7502i | 0.0823341 | − | 0.610666i | ||||
\(508\) | −26.1106 | + | 22.7429i | −1.15847 | + | 1.00906i | ||||
\(509\) | −5.29018 | − | 30.0021i | −0.234483 | − | 1.32982i | −0.843700 | − | 0.536816i | \(-0.819627\pi\) |
0.609217 | − | 0.793004i | \(-0.291484\pi\) | |||||||
\(510\) | 1.21113 | + | 1.09628i | 0.0536299 | + | 0.0485440i | ||||
\(511\) | 0.567874 | − | 0.676766i | 0.0251213 | − | 0.0299383i | ||||
\(512\) | −14.6186 | + | 17.2713i | −0.646057 | + | 0.763289i | ||||
\(513\) | 2.75653 | − | 6.48260i | 0.121704 | − | 0.286214i | ||||
\(514\) | 7.95597 | − | 30.8264i | 0.350923 | − | 1.35969i | ||||
\(515\) | −4.65597 | + | 5.54877i | −0.205167 | + | 0.244508i | ||||
\(516\) | −2.21462 | − | 37.5200i | −0.0974930 | − | 1.65172i | ||||
\(517\) | 0.0790932 | − | 0.0139463i | 0.00347852 | − | 0.000613356i | ||||
\(518\) | −8.03594 | − | 5.51710i | −0.353079 | − | 0.242408i | ||||
\(519\) | −21.6894 | + | 8.90488i | −0.952058 | + | 0.390881i | ||||
\(520\) | 1.70959 | + | 2.30322i | 0.0749703 | + | 0.101003i | ||||
\(521\) | −2.67309 | − | 1.54331i | −0.117110 | − | 0.0676136i | 0.440301 | − | 0.897850i | \(-0.354872\pi\) |
−0.557411 | + | 0.830237i | \(0.688205\pi\) | |||||||
\(522\) | 0.0920181 | + | 30.8449i | 0.00402752 | + | 1.35004i | ||||
\(523\) | −6.24198 | − | 10.8114i | −0.272943 | − | 0.472750i | 0.696671 | − | 0.717390i | \(-0.254664\pi\) |
−0.969614 | + | 0.244640i | \(0.921330\pi\) | |||||||
\(524\) | 0.958157 | − | 6.08853i | 0.0418573 | − | 0.265979i | ||||
\(525\) | 7.27468 | + | 7.98880i | 0.317493 | + | 0.348660i | ||||
\(526\) | 22.5991 | − | 10.7930i | 0.985369 | − | 0.470595i | ||||
\(527\) | −10.1439 | + | 8.51177i | −0.441877 | + | 0.370779i | ||||
\(528\) | 0.0327617 | − | 0.117613i | 0.00142577 | − | 0.00511847i | ||||
\(529\) | 17.3585 | − | 6.31798i | 0.754717 | − | 0.274695i | ||||
\(530\) | 1.78911 | + | 6.43895i | 0.0777139 | + | 0.279690i | ||||
\(531\) | −8.71872 | + | 31.7453i | −0.378360 | + | 1.37763i | ||||
\(532\) | −1.82015 | − | 3.02246i | −0.0789134 | − | 0.131040i | ||||
\(533\) | 0.944542 | − | 5.35676i | 0.0409126 | − | 0.232027i | ||||
\(534\) | −0.0400750 | − | 0.290682i | −0.00173422 | − | 0.0125790i | ||||
\(535\) | −1.04597 | + | 2.87377i | −0.0452211 | + | 0.124244i | ||||
\(536\) | −7.52412 | + | 11.4044i | −0.324993 | + | 0.492596i | ||||
\(537\) | 16.6460 | − | 10.5318i | 0.718328 | − | 0.454482i | ||||
\(538\) | 8.42150 | + | 11.7942i | 0.363076 | + | 0.508482i | ||||
\(539\) | − | 0.0935167i | − | 0.00402805i | ||||||
\(540\) | −2.49880 | + | 4.00212i | −0.107531 | + | 0.172224i | ||||
\(541\) | 35.0866i | 1.50849i | 0.656592 | + | 0.754246i | \(0.271997\pi\) | ||||
−0.656592 | + | 0.754246i | \(0.728003\pi\) | |||||||
\(542\) | 21.5586 | − | 15.3937i | 0.926021 | − | 0.661216i | ||||
\(543\) | −22.7358 | − | 11.9258i | −0.975688 | − | 0.511785i | ||||
\(544\) | −3.85522 | − | 7.36131i | −0.165291 | − | 0.315613i | ||||
\(545\) | −0.452947 | + | 1.24446i | −0.0194021 | + | 0.0533069i | ||||
\(546\) | −2.68446 | + | 6.59438i | −0.114884 | + | 0.282213i | ||||
\(547\) | −0.423952 | + | 2.40435i | −0.0181269 | + | 0.102803i | −0.992529 | − | 0.122010i | \(-0.961066\pi\) |
0.974402 | + | 0.224813i | \(0.0721771\pi\) | |||||||
\(548\) | 12.1578 | + | 20.1888i | 0.519356 | + | 0.862421i | ||||
\(549\) | 26.9042 | + | 2.52302i | 1.14824 | + | 0.107680i | ||||
\(550\) | 0.115111 | − | 0.0319844i | 0.00490835 | − | 0.00136382i | ||||
\(551\) | 9.26174 | − | 3.37100i | 0.394563 | − | 0.143609i | ||||
\(552\) | 5.03873 | + | 9.12527i | 0.214462 | + | 0.388397i | ||||
\(553\) | 8.05890 | − | 6.76222i | 0.342699 | − | 0.287559i | ||||
\(554\) | 13.2784 | + | 27.8034i | 0.564147 | + | 1.18125i | ||||
\(555\) | 4.06926 | − | 0.888826i | 0.172730 | − | 0.0377286i | ||||
\(556\) | 10.5854 | + | 1.66584i | 0.448923 | + | 0.0706473i | ||||
\(557\) | 3.41195 | + | 5.90968i | 0.144569 | + | 0.250401i | 0.929212 | − | 0.369547i | \(-0.120487\pi\) |
−0.784643 | + | 0.619948i | \(0.787154\pi\) | |||||||
\(558\) | −29.3707 | − | 24.4960i | −1.24336 | − | 1.03700i | ||||
\(559\) | 20.9888 | + | 12.1179i | 0.887730 | + | 0.512531i | ||||
\(560\) | 0.889572 | + | 2.18929i | 0.0375913 | + | 0.0925144i | ||||
\(561\) | 0.0354862 | + | 0.0274058i | 0.00149823 | + | 0.00115707i | ||||
\(562\) | 9.25046 | − | 13.4738i | 0.390207 | − | 0.568357i | ||||
\(563\) | 20.6520 | − | 3.64150i | 0.870377 | − | 0.153471i | 0.279415 | − | 0.960170i | \(-0.409859\pi\) |
0.590962 | + | 0.806699i | \(0.298748\pi\) | |||||||
\(564\) | 14.1138 | + | 7.07445i | 0.594298 | + | 0.297888i | ||||
\(565\) | −5.69243 | + | 6.78397i | −0.239482 | + | 0.285404i | ||||
\(566\) | −5.87730 | − | 1.51687i | −0.247041 | − | 0.0637589i | ||||
\(567\) | −11.7105 | − | 0.146105i | −0.491793 | − | 0.00613585i | ||||
\(568\) | 20.6982 | + | 19.5835i | 0.868476 | + | 0.821707i | ||||
\(569\) | −20.8313 | + | 24.8258i | −0.873295 | + | 1.04075i | 0.125521 | + | 0.992091i | \(0.459940\pi\) |
−0.998815 | + | 0.0486610i | \(0.984505\pi\) | |||||||
\(570\) | 1.47385 | + | 0.317322i | 0.0617329 | + | 0.0132912i | ||||
\(571\) | −0.396543 | − | 2.24891i | −0.0165948 | − | 0.0941139i | 0.975385 | − | 0.220507i | \(-0.0707711\pi\) |
−0.991980 | + | 0.126393i | \(0.959660\pi\) | |||||||
\(572\) | 0.0517082 | + | 0.0593648i | 0.00216203 | + | 0.00248217i | ||||
\(573\) | −25.8383 | − | 19.9548i | −1.07941 | − | 0.833623i | ||||
\(574\) | 1.85634 | − | 4.07871i | 0.0774822 | − | 0.170242i | ||||
\(575\) | −5.10017 | + | 8.83376i | −0.212692 | + | 0.368393i | ||||
\(576\) | 18.9605 | − | 14.7139i | 0.790020 | − | 0.613081i | ||||
\(577\) | −10.7395 | − | 18.6014i | −0.447092 | − | 0.774387i | 0.551103 | − | 0.834437i | \(-0.314207\pi\) |
−0.998195 | + | 0.0600507i | \(0.980874\pi\) | |||||||
\(578\) | −20.8923 | + | 2.02213i | −0.869006 | + | 0.0841095i | ||||
\(579\) | −0.780006 | − | 3.57105i | −0.0324159 | − | 0.148408i | ||||
\(580\) | −6.47891 | + | 1.26602i | −0.269022 | + | 0.0525688i | ||||
\(581\) | −2.00240 | + | 1.68021i | −0.0830736 | + | 0.0697070i | ||||
\(582\) | −23.1293 | − | 14.5373i | −0.958741 | − | 0.602592i | ||||
\(583\) | 0.0627342 | + | 0.172361i | 0.00259818 | + | 0.00713845i | ||||
\(584\) | 0.445509 | − | 1.86788i | 0.0184353 | − | 0.0772935i | ||||
\(585\) | −1.26853 | − | 2.76528i | −0.0524473 | − | 0.114330i | ||||
\(586\) | 12.4541 | − | 12.6859i | 0.514473 | − | 0.524050i | ||||
\(587\) | 18.6609 | + | 3.29041i | 0.770216 | + | 0.135810i | 0.544928 | − | 0.838483i | \(-0.316557\pi\) |
0.225287 | + | 0.974292i | \(0.427668\pi\) | |||||||
\(588\) | 10.9661 | − | 14.7540i | 0.452233 | − | 0.608443i | ||||
\(589\) | −4.17975 | + | 11.4838i | −0.172224 | + | 0.473180i | ||||
\(590\) | −7.02425 | − | 0.549326i | −0.289184 | − | 0.0226154i | ||||
\(591\) | 9.21839 | − | 17.5743i | 0.379194 | − | 0.722911i | ||||
\(592\) | −20.9869 | − | 2.90719i | −0.862555 | − | 0.119485i | ||||
\(593\) | 23.6650i | 0.971804i | 0.874013 | + | 0.485902i | \(0.161509\pi\) | ||||
−0.874013 | + | 0.485902i | \(0.838491\pi\) | |||||||
\(594\) | −0.0598108 | + | 0.114857i | −0.00245407 | + | 0.00471265i | ||||
\(595\) | −0.867835 | −0.0355778 | ||||||||
\(596\) | −10.3108 | − | 26.7814i | −0.422347 | − | 1.09701i | ||||
\(597\) | 8.31848 | − | 5.26305i | 0.340453 | − | 0.215402i | ||||
\(598\) | −6.70113 | − | 0.524056i | −0.274029 | − | 0.0214302i | ||||
\(599\) | 8.37844 | + | 3.04950i | 0.342334 | + | 0.124599i | 0.507465 | − | 0.861672i | \(-0.330583\pi\) |
−0.165131 | + | 0.986272i | \(0.552805\pi\) | |||||||
\(600\) | 21.9115 | + | 8.45216i | 0.894531 | + | 0.345058i | ||||
\(601\) | 4.44934 | − | 25.2334i | 0.181492 | − | 1.02929i | −0.748888 | − | 0.662697i | \(-0.769412\pi\) |
0.930380 | − | 0.366597i | \(-0.119477\pi\) | |||||||
\(602\) | 14.2482 | + | 13.9878i | 0.580714 | + | 0.570102i | ||||
\(603\) | 10.3109 | − | 10.1830i | 0.419891 | − | 0.414685i | ||||
\(604\) | 23.7835 | − | 0.438672i | 0.967735 | − | 0.0178493i | ||||
\(605\) | 4.69274 | − | 1.70802i | 0.190787 | − | 0.0694407i | ||||
\(606\) | −36.1374 | + | 19.0931i | −1.46798 | + | 0.775604i | ||||
\(607\) | 8.91382 | + | 10.6231i | 0.361801 | + | 0.431177i | 0.915982 | − | 0.401218i | \(-0.131413\pi\) |
−0.554182 | + | 0.832396i | \(0.686969\pi\) | |||||||
\(608\) | −6.47805 | − | 4.10449i | −0.262720 | − | 0.166459i | ||||
\(609\) | −11.0325 | − | 12.1156i | −0.447061 | − | 0.490947i | ||||
\(610\) | 0.557151 | + | 5.75639i | 0.0225584 | + | 0.233070i | ||||
\(611\) | −8.81625 | + | 5.09007i | −0.356667 | + | 0.205922i | ||||
\(612\) | 2.38491 | + | 8.48500i | 0.0964042 | + | 0.342986i | ||||
\(613\) | −17.7329 | − | 10.2381i | −0.716224 | − | 0.413512i | 0.0971374 | − | 0.995271i | \(-0.469031\pi\) |
−0.813361 | + | 0.581759i | \(0.802365\pi\) | |||||||
\(614\) | −8.74955 | + | 19.2243i | −0.353103 | + | 0.775831i | ||||
\(615\) | 0.727273 | + | 1.77140i | 0.0293265 | + | 0.0714297i | ||||
\(616\) | 0.0290263 | + | 0.0580021i | 0.00116950 | + | 0.00233697i | ||||
\(617\) | 45.9610 | − | 8.10416i | 1.85032 | − | 0.326261i | 0.865644 | − | 0.500660i | \(-0.166909\pi\) |
0.984675 | + | 0.174399i | \(0.0557983\pi\) | |||||||
\(618\) | −37.1992 | + | 11.9789i | −1.49637 | + | 0.481862i | ||||
\(619\) | −20.3900 | − | 17.1092i | −0.819542 | − | 0.687678i | 0.133323 | − | 0.991073i | \(-0.457435\pi\) |
−0.952865 | + | 0.303395i | \(0.901880\pi\) | |||||||
\(620\) | 3.96119 | − | 7.16288i | 0.159085 | − | 0.287668i | ||||
\(621\) | −3.22588 | − | 10.5752i | −0.129450 | − | 0.424369i | ||||
\(622\) | 1.67164 | + | 0.431435i | 0.0670268 | + | 0.0172990i | ||||
\(623\) | 0.119413 | + | 0.100199i | 0.00478417 | + | 0.00401439i | ||||
\(624\) | 1.19661 | + | 15.4294i | 0.0479026 | + | 0.617668i | ||||
\(625\) | 3.81170 | + | 21.6172i | 0.152468 | + | 0.864688i | ||||
\(626\) | −4.64249 | − | 3.18732i | −0.185551 | − | 0.127391i | ||||
\(627\) | 0.0410081 | + | 0.00552900i | 0.00163771 | + | 0.000220807i | ||||
\(628\) | 26.1543 | + | 21.1365i | 1.04367 | + | 0.843440i | ||||
\(629\) | 3.89042 | − | 6.73841i | 0.155121 | − | 0.268678i | ||||
\(630\) | −0.442605 | − | 2.46708i | −0.0176338 | − | 0.0982907i | ||||
\(631\) | −24.6191 | + | 14.2138i | −0.980071 | + | 0.565844i | −0.902292 | − | 0.431126i | \(-0.858116\pi\) |
−0.0777793 | + | 0.996971i | \(0.524783\pi\) | |||||||
\(632\) | 9.08691 | − | 20.9835i | 0.361458 | − | 0.834680i | ||||
\(633\) | 27.4686 | + | 8.75510i | 1.09178 | + | 0.347984i | ||||
\(634\) | −9.44732 | + | 4.51187i | −0.375201 | + | 0.179189i | ||||
\(635\) | 5.05252 | + | 6.02135i | 0.200503 | + | 0.238950i | ||||
\(636\) | −10.3141 | + | 34.5495i | −0.408981 | + | 1.36998i | ||||
\(637\) | 4.05421 | + | 11.1389i | 0.160634 | + | 0.441337i | ||||
\(638\) | −0.174574 | + | 0.0485065i | −0.00691143 | + | 0.00192039i | ||||
\(639\) | −17.1803 | − | 24.8648i | −0.679644 | − | 0.983635i | ||||
\(640\) | 3.85875 | + | 3.39019i | 0.152530 | + | 0.134009i | ||||
\(641\) | 19.2764 | + | 3.39896i | 0.761373 | + | 0.134251i | 0.540836 | − | 0.841128i | \(-0.318108\pi\) |
0.220537 | + | 0.975379i | \(0.429219\pi\) | |||||||
\(642\) | −13.0287 | + | 10.1242i | −0.514203 | + | 0.399571i | ||||
\(643\) | −10.2317 | − | 3.72402i | −0.403497 | − | 0.146861i | 0.132296 | − | 0.991210i | \(-0.457765\pi\) |
−0.535793 | + | 0.844349i | \(0.679987\pi\) | |||||||
\(644\) | −5.23770 | − | 1.79769i | −0.206394 | − | 0.0708391i | ||||
\(645\) | −8.52493 | + | 0.345571i | −0.335669 | + | 0.0136068i | ||||
\(646\) | 2.29201 | − | 1.63659i | 0.0901781 | − | 0.0643907i | ||||
\(647\) | −19.0202 | −0.747763 | −0.373881 | − | 0.927477i | \(-0.621973\pi\) | ||||
−0.373881 | + | 0.927477i | \(0.621973\pi\) | |||||||
\(648\) | −22.9048 | + | 11.1072i | −0.899785 | + | 0.436334i | ||||
\(649\) | −0.193381 | −0.00759085 | ||||||||
\(650\) | −12.3244 | + | 8.80007i | −0.483401 | + | 0.345167i | ||||
\(651\) | 20.3007 | − | 0.822917i | 0.795646 | − | 0.0322527i | ||||
\(652\) | −6.60795 | + | 19.2527i | −0.258787 | + | 0.753995i | ||||
\(653\) | −11.7763 | − | 4.28623i | −0.460843 | − | 0.167733i | 0.101157 | − | 0.994871i | \(-0.467746\pi\) |
−0.562000 | + | 0.827137i | \(0.689968\pi\) | |||||||
\(654\) | −5.64198 | + | 4.38420i | −0.220619 | + | 0.171436i | ||||
\(655\) | −1.37786 | − | 0.242955i | −0.0538376 | − | 0.00949302i | ||||
\(656\) | −0.359194 | − | 9.73389i | −0.0140242 | − | 0.380044i | ||||
\(657\) | −0.872270 | + | 1.84053i | −0.0340305 | + | 0.0718058i | ||||
\(658\) | −8.08082 | + | 2.24531i | −0.315023 | + | 0.0875315i | ||||
\(659\) | 9.65592 | + | 26.5294i | 0.376141 | + | 1.03344i | 0.972942 | + | 0.231050i | \(0.0742160\pi\) |
−0.596801 | + | 0.802389i | \(0.703562\pi\) | |||||||
\(660\) | −0.0265568 | − | 0.00792805i | −0.00103372 | − | 0.000308599i | ||||
\(661\) | 10.6735 | + | 12.7202i | 0.415150 | + | 0.494757i | 0.932577 | − | 0.360971i | \(-0.117555\pi\) |
−0.517427 | + | 0.855727i | \(0.673110\pi\) | |||||||
\(662\) | 3.82482 | − | 1.82667i | 0.148656 | − | 0.0709955i | ||||
\(663\) | −5.41491 | − | 1.72590i | −0.210298 | − | 0.0670285i | ||||
\(664\) | −2.25783 | + | 5.21379i | −0.0876208 | + | 0.202334i | ||||
\(665\) | −0.693608 | + | 0.400455i | −0.0268970 | + | 0.0155290i | ||||
\(666\) | 21.1401 | + | 7.62302i | 0.819161 | + | 0.295386i | ||||
\(667\) | 7.73476 | − | 13.3970i | 0.299491 | − | 0.518734i | ||||
\(668\) | −20.1634 | + | 24.9502i | −0.780147 | + | 0.965352i | ||||
\(669\) | −4.76822 | − | 0.642884i | −0.184350 | − | 0.0248553i | ||||
\(670\) | 2.55689 | + | 1.75544i | 0.0987814 | + | 0.0678187i | ||||
\(671\) | 0.0275635 | + | 0.156320i | 0.00106408 | + | 0.00603468i | ||||
\(672\) | −2.22208 | + | 12.5546i | −0.0857187 | + | 0.484304i | ||||
\(673\) | 4.64214 | + | 3.89522i | 0.178941 | + | 0.150150i | 0.727859 | − | 0.685727i | \(-0.240516\pi\) |
−0.548918 | + | 0.835876i | \(0.684960\pi\) | |||||||
\(674\) | −18.0163 | − | 4.64982i | −0.693962 | − | 0.179105i | ||||
\(675\) | −20.8825 | − | 13.5800i | −0.803768 | − | 0.522694i | ||||
\(676\) | 14.0199 | + | 7.75326i | 0.539228 | + | 0.298202i | ||||
\(677\) | −5.34485 | − | 4.48486i | −0.205419 | − | 0.172367i | 0.534274 | − | 0.845311i | \(-0.320585\pi\) |
−0.739693 | + | 0.672944i | \(0.765029\pi\) | |||||||
\(678\) | −45.4800 | + | 14.6455i | −1.74665 | + | 0.562458i | ||||
\(679\) | 14.2922 | − | 2.52009i | 0.548483 | − | 0.0967123i | ||||
\(680\) | −1.68689 | + | 0.844178i | −0.0646892 | + | 0.0323727i | ||||
\(681\) | −16.2659 | − | 39.6183i | −0.623309 | − | 1.51818i | ||||
\(682\) | 0.0930625 | − | 0.204475i | 0.00356355 | − | 0.00782975i | ||||
\(683\) | 25.8624 | + | 14.9317i | 0.989597 | + | 0.571344i | 0.905154 | − | 0.425084i | \(-0.139756\pi\) |
0.0844432 | + | 0.996428i | \(0.473089\pi\) | |||||||
\(684\) | 5.82144 | + | 5.68105i | 0.222588 | + | 0.217220i | ||||
\(685\) | 4.63301 | − | 2.67487i | 0.177018 | − | 0.102201i | ||||
\(686\) | 2.18183 | + | 22.5423i | 0.0833025 | + | 0.860668i | ||||
\(687\) | −18.2773 | − | 20.0715i | −0.697324 | − | 0.765777i | ||||
\(688\) | 41.3020 | + | 13.3296i | 1.57463 | + | 0.508185i | ||||
\(689\) | −14.9446 | − | 17.8103i | −0.569346 | − | 0.678520i | ||||
\(690\) | 2.09220 | − | 1.10541i | 0.0796485 | − | 0.0420821i | ||||
\(691\) | 31.1175 | − | 11.3259i | 1.18377 | − | 0.430856i | 0.326236 | − | 0.945288i | \(-0.394220\pi\) |
0.857531 | + | 0.514432i | \(0.171997\pi\) | |||||||
\(692\) | −0.499268 | − | 27.0688i | −0.0189793 | − | 1.02900i | ||||
\(693\) | −0.0173903 | − | 0.0665597i | −0.000660604 | − | 0.00252839i | ||||
\(694\) | 29.5505 | + | 29.0105i | 1.12172 | + | 1.10122i | ||||
\(695\) | 0.422398 | − | 2.39554i | 0.0160225 | − | 0.0908679i | ||||
\(696\) | −33.2302 | − | 12.8183i | −1.25959 | − | 0.485875i | ||||
\(697\) | 3.36139 | + | 1.22345i | 0.127322 | + | 0.0463414i | ||||
\(698\) | −29.5599 | − | 2.31171i | −1.11886 | − | 0.0874995i | ||||
\(699\) | 29.6107 | − | 18.7345i | 1.11998 | − | 0.708603i | ||||
\(700\) | −11.6431 | + | 4.48259i | −0.440069 | + | 0.169426i | ||||
\(701\) | −9.68894 | −0.365946 | −0.182973 | − | 0.983118i | \(-0.558572\pi\) | ||||
−0.182973 | + | 0.983118i | \(0.558572\pi\) | |||||||
\(702\) | 2.14472 | − | 16.2737i | 0.0809473 | − | 0.614212i | ||||
\(703\) | − | 7.18080i | − | 0.270829i | ||||||
\(704\) | 0.112842 | + | 0.0845087i | 0.00425289 | + | 0.00318504i | ||||
\(705\) | 1.66473 | − | 3.17370i | 0.0626972 | − | 0.119528i | ||||
\(706\) | 4.44740 | + | 0.347805i | 0.167380 | + | 0.0130898i | ||||
\(707\) | 7.42607 | − | 20.4030i | 0.279286 | − | 0.767333i | ||||
\(708\) | −30.5093 | − | 22.6764i | −1.14661 | − | 0.852233i | ||||
\(709\) | −24.6853 | − | 4.35269i | −0.927077 | − | 0.163469i | −0.310329 | − | 0.950629i | \(-0.600439\pi\) |
−0.616748 | + | 0.787161i | \(0.711550\pi\) | |||||||
\(710\) | 4.53140 | − | 4.61575i | 0.170060 | − | 0.173226i | ||||
\(711\) | −14.0350 | + | 19.7803i | −0.526354 | + | 0.741819i | ||||
\(712\) | 0.329581 | + | 0.0786084i | 0.0123516 | + | 0.00294597i | ||||
\(713\) | 6.56025 | + | 18.0241i | 0.245683 | + | 0.675009i | ||||
\(714\) | −3.96423 | − | 2.49162i | −0.148358 | − | 0.0932464i | ||||
\(715\) | 0.0136901 | − | 0.0114874i | 0.000511981 | − | 0.000429603i | ||||
\(716\) | 4.36207 | + | 22.3230i | 0.163018 | + | 0.834250i | ||||
\(717\) | 3.16677 | + | 14.4982i | 0.118265 | + | 0.541446i | ||||
\(718\) | −43.0596 | + | 4.16766i | −1.60697 | + | 0.155536i | ||||
\(719\) | 16.4482 | + | 28.4892i | 0.613415 | + | 1.06247i | 0.990660 | + | 0.136353i | \(0.0435381\pi\) |
−0.377245 | + | 0.926113i | \(0.623129\pi\) | |||||||
\(720\) | −3.26015 | − | 4.36493i | −0.121499 | − | 0.162672i | ||||
\(721\) | 10.3805 | − | 17.9796i | 0.386590 | − | 0.669594i | ||||
\(722\) | −10.0541 | + | 22.0906i | −0.374173 | + | 0.822126i | ||||
\(723\) | 19.8145 | + | 15.3027i | 0.736911 | + | 0.569112i | ||||
\(724\) | 22.3545 | − | 19.4713i | 0.830799 | − | 0.723647i | ||||
\(725\) | −6.05210 | − | 34.3232i | −0.224769 | − | 1.27473i | ||||
\(726\) | 26.3401 | + | 5.67104i | 0.977571 | + | 0.210472i | ||||
\(727\) | 20.0843 | − | 23.9355i | 0.744884 | − | 0.887719i | −0.251908 | − | 0.967751i | \(-0.581058\pi\) |
0.996792 | + | 0.0800327i | \(0.0255025\pi\) | |||||||
\(728\) | −5.97190 | − | 5.65031i | −0.221333 | − | 0.209414i | ||||
\(729\) | 26.2062 | − | 6.49886i | 0.970600 | − | 0.240699i | ||||
\(730\) | −0.422076 | − | 0.108934i | −0.0156217 | − | 0.00403182i | ||||
\(731\) | −10.2449 | + | 12.2094i | −0.378920 | + | 0.451579i | ||||
\(732\) | −13.9820 | + | 27.8946i | −0.516789 | + | 1.03101i | ||||
\(733\) | −16.2456 | + | 2.86454i | −0.600046 | + | 0.105804i | −0.465417 | − | 0.885092i | \(-0.654096\pi\) |
−0.134630 | + | 0.990896i | \(0.542984\pi\) | |||||||
\(734\) | 17.9093 | − | 26.0858i | 0.661045 | − | 0.962846i | ||||
\(735\) | −3.30271 | − | 2.55066i | −0.121822 | − | 0.0940825i | ||||
\(736\) | −11.9297 | + | 1.60059i | −0.439734 | + | 0.0589985i | ||||
\(737\) | 0.0737209 | + | 0.0425628i | 0.00271554 | + | 0.00156782i | ||||
\(738\) | −1.76366 | + | 10.1797i | −0.0649213 | + | 0.374721i | ||||
\(739\) | −11.5876 | − | 20.0704i | −0.426258 | − | 0.738301i | 0.570279 | − | 0.821451i | \(-0.306835\pi\) |
−0.996537 | + | 0.0831501i | \(0.973502\pi\) | |||||||
\(740\) | −0.747682 | + | 4.75108i | −0.0274853 | + | 0.174653i | ||||
\(741\) | −5.12421 | + | 1.11925i | −0.188243 | + | 0.0411168i | ||||
\(742\) | −8.25475 | − | 17.2844i | −0.303041 | − | 0.634532i | ||||
\(743\) | 2.55778 | − | 2.14623i | 0.0938358 | − | 0.0787376i | −0.594663 | − | 0.803975i | \(-0.702714\pi\) |
0.688499 | + | 0.725238i | \(0.258270\pi\) | |||||||
\(744\) | 38.6597 | − | 21.3469i | 1.41733 | − | 0.782614i | ||||
\(745\) | −6.12156 | + | 2.22807i | −0.224277 | + | 0.0816300i | ||||
\(746\) | 15.5825 | − | 4.32971i | 0.570517 | − | 0.158522i | ||||
\(747\) | 3.48729 | − | 4.91482i | 0.127593 | − | 0.179824i | ||||
\(748\) | −0.0443519 | + | 0.0267091i | −0.00162167 | + | 0.000976580i | ||||
\(749\) | 1.52210 | − | 8.63224i | 0.0556162 | − | 0.315415i | ||||
\(750\) | 4.10654 | − | 10.0877i | 0.149950 | − | 0.368352i | ||||
\(751\) | 0.701648 | − | 1.92776i | 0.0256035 | − | 0.0703450i | −0.926232 | − | 0.376953i | \(-0.876972\pi\) |
0.951836 | + | 0.306608i | \(0.0991940\pi\) | |||||||
\(752\) | −13.5233 | + | 12.2250i | −0.493144 | + | 0.445798i | ||||
\(753\) | 22.5161 | + | 11.8106i | 0.820533 | + | 0.430400i | ||||
\(754\) | 18.6907 | − | 13.3459i | 0.680676 | − | 0.486029i | ||||
\(755\) | − | 5.39982i | − | 0.196519i | ||||||
\(756\) | 5.06136 | − | 12.5403i | 0.184080 | − | 0.456084i | ||||
\(757\) | 41.6394i | 1.51341i | 0.653756 | + | 0.756705i | \(0.273192\pi\) | ||||
−0.653756 | + | 0.756705i | \(0.726808\pi\) | |||||||
\(758\) | −17.8336 | − | 24.9756i | −0.647744 | − | 0.907154i | ||||
\(759\) | 0.0548834 | − | 0.0347244i | 0.00199214 | − | 0.00126042i | ||||
\(760\) | −0.958688 | + | 1.45310i | −0.0347753 | + | 0.0527094i | ||||
\(761\) | −14.1101 | + | 38.7671i | −0.511490 | + | 1.40531i | 0.368195 | + | 0.929749i | \(0.379976\pi\) |
−0.879684 | + | 0.475558i | \(0.842246\pi\) | |||||||
\(762\) | 5.79193 | + | 42.0114i | 0.209819 | + | 1.52191i | ||||
\(763\) | 0.659130 | − | 3.73811i | 0.0238621 | − | 0.135329i | ||||
\(764\) | 32.2936 | − | 19.4475i | 1.16834 | − | 0.703585i | ||||
\(765\) | 1.93577 | − | 0.505767i | 0.0699879 | − | 0.0182860i | ||||
\(766\) | 12.5596 | + | 45.2016i | 0.453796 | + | 1.63320i | ||||
\(767\) | 23.0337 | − | 8.38359i | 0.831700 | − | 0.302714i | ||||
\(768\) | 7.89311 | + | 26.5650i | 0.284818 | + | 0.958582i | ||||
\(769\) | −33.4132 | + | 28.0370i | −1.20491 | + | 1.01104i | −0.205437 | + | 0.978670i | \(0.565861\pi\) |
−0.999476 | + | 0.0323712i | \(0.989694\pi\) | |||||||
\(770\) | 0.0132859 | − | 0.00634510i | 0.000478789 | − | 0.000228662i | ||||
\(771\) | −26.2525 | − | 28.8296i | −0.945462 | − | 1.03827i | ||||
\(772\) | 4.16940 | + | 0.656142i | 0.150060 | + | 0.0236151i | ||||
\(773\) | −3.52468 | − | 6.10492i | −0.126774 | − | 0.219579i | 0.795651 | − | 0.605755i | \(-0.207129\pi\) |
−0.922425 | + | 0.386176i | \(0.873796\pi\) | |||||||
\(774\) | −39.9337 | − | 22.8971i | −1.43539 | − | 0.823021i | ||||
\(775\) | 37.4247 | + | 21.6072i | 1.34434 | + | 0.776153i | ||||
\(776\) | 25.3295 | − | 18.8011i | 0.909277 | − | 0.674920i | ||||
\(777\) | −11.0437 | + | 4.53415i | −0.396191 | + | 0.162662i | ||||
\(778\) | 8.11926 | + | 5.57430i | 0.291089 | + | 0.199848i | ||||
\(779\) | 3.25111 | − | 0.573258i | 0.116483 | − | 0.0205391i | ||||
\(780\) | 3.50691 | − | 0.206995i | 0.125567 | − | 0.00741162i | ||||
\(781\) | 0.114116 | − | 0.135998i | 0.00408338 | − | 0.00486638i | ||||
\(782\) | 1.10465 | − | 4.28008i | 0.0395020 | − | 0.153055i | ||||
\(783\) | 31.6697 | + | 20.5950i | 1.13178 | + | 0.736004i | ||||
\(784\) | 11.2841 | + | 17.9791i | 0.403004 | + | 0.642111i | ||||
\(785\) | 4.90671 | − | 5.84759i | 0.175128 | − | 0.208709i | ||||
\(786\) | −5.59648 | − | 5.06575i | −0.199620 | − | 0.180689i | ||||
\(787\) | 8.03739 | + | 45.5823i | 0.286502 | + | 1.62483i | 0.699871 | + | 0.714270i | \(0.253241\pi\) |
−0.413369 | + | 0.910564i | \(0.635648\pi\) | |||||||
\(788\) | 15.0509 | + | 17.2796i | 0.536167 | + | 0.615559i | ||||
\(789\) | 4.09842 | − | 30.3976i | 0.145907 | − | 1.08218i | ||||
\(790\) | −4.72446 | − | 2.15024i | −0.168089 | − | 0.0765021i | ||||
\(791\) | 12.6913 | − | 21.9820i | 0.451250 | − | 0.781589i | ||||
\(792\) | −0.0985484 | − | 0.112462i | −0.00350176 | − | 0.00399615i | ||||
\(793\) | −10.0600 | − | 17.4245i | −0.357242 | − | 0.618762i | ||||
\(794\) | −5.01214 | − | 51.7846i | −0.177874 | − | 1.83777i | ||||
\(795\) | 7.79830 | + | 2.48556i | 0.276577 | + | 0.0881537i | ||||
\(796\) | 2.17985 | + | 11.1554i | 0.0772628 | + | 0.395394i | ||||
\(797\) | −10.7323 | + | 9.00550i | −0.380159 | + | 0.318991i | −0.812765 | − | 0.582592i | \(-0.802039\pi\) |
0.432606 | + | 0.901583i | \(0.357594\pi\) | |||||||
\(798\) | −4.31810 | − | 0.162139i | −0.152859 | − | 0.00573966i | ||||
\(799\) | −2.28975 | − | 6.29103i | −0.0810054 | − | 0.222561i | ||||
\(800\) | −18.2714 | + | 20.0389i | −0.645990 | + | 0.708483i | ||||
\(801\) | −0.324754 | − | 0.153909i | −0.0114746 | − | 0.00543810i | ||||
\(802\) | 3.08050 | + | 3.02421i | 0.108776 | + | 0.106789i | ||||
\(803\) | −0.0117824 | − | 0.00207756i | −0.000415792 | − | 7.33153e-5i | ||||
\(804\) | 6.63977 | + | 15.3598i | 0.234167 | + | 0.541699i | ||||
\(805\) | −0.429937 | + | 1.18124i | −0.0151533 | + | 0.0416333i | ||||
\(806\) | −2.22019 | + | 28.3897i | −0.0782030 | + | 0.999985i | ||||
\(807\) | 17.7347 | − | 0.718901i | 0.624290 | − | 0.0253065i | ||||
\(808\) | −5.41207 | − | 46.8827i | −0.190396 | − | 1.64933i | ||||
\(809\) | − | 25.2574i | − | 0.888002i | −0.896026 | − | 0.444001i | \(-0.853559\pi\) | ||
0.896026 | − | 0.444001i | \(-0.146441\pi\) | |||||||
\(810\) | 2.42505 | + | 5.24505i | 0.0852077 | + | 0.184292i | ||||
\(811\) | −36.9593 | −1.29782 | −0.648908 | − | 0.760867i | \(-0.724774\pi\) | ||||
−0.648908 | + | 0.760867i | \(0.724774\pi\) | |||||||
\(812\) | 17.6576 | − | 6.79815i | 0.619659 | − | 0.238568i | ||||
\(813\) | −1.31408 | − | 32.4173i | −0.0460869 | − | 1.13692i | ||||
\(814\) | −0.0102920 | + | 0.131604i | −0.000360734 | + | 0.00461272i | ||||
\(815\) | 4.34200 | + | 1.58036i | 0.152094 | + | 0.0553576i | ||||
\(816\) | −10.1293 | − | 0.987008i | −0.354597 | − | 0.0345522i | ||||
\(817\) | −2.55420 | + | 14.4856i | −0.0893602 | + | 0.506787i | ||||
\(818\) | 23.8633 | − | 24.3075i | 0.834359 | − | 0.849890i | ||||
\(819\) | 4.95693 | + | 7.17406i | 0.173209 | + | 0.250682i | ||||
\(820\) | −2.21074 | + | 0.0407758i | −0.0772024 | + | 0.00142395i | ||||
\(821\) | −5.42437 | + | 1.97431i | −0.189312 | + | 0.0689038i | −0.434936 | − | 0.900461i | \(-0.643229\pi\) |
0.245625 | + | 0.969365i | \(0.421007\pi\) | |||||||
\(822\) | 28.8431 | + | 1.08302i | 1.00602 | + | 0.0377747i | ||||
\(823\) | 12.2571 | + | 14.6074i | 0.427254 | + | 0.509182i | 0.936128 | − | 0.351659i | \(-0.114382\pi\) |
−0.508874 | + | 0.860841i | \(0.669938\pi\) | |||||||
\(824\) | 2.68806 | − | 45.0460i | 0.0936430 | − | 1.56925i | ||||
\(825\) | 0.0444351 | − | 0.139412i | 0.00154703 | − | 0.00485372i | ||||
\(826\) | 20.1004 | − | 1.94548i | 0.699383 | − | 0.0676920i | ||||
\(827\) | −23.7503 | + | 13.7122i | −0.825878 | + | 0.476821i | −0.852439 | − | 0.522826i | \(-0.824878\pi\) |
0.0265613 | + | 0.999647i | \(0.491544\pi\) | |||||||
\(828\) | 12.7308 | + | 0.957396i | 0.442425 | + | 0.0332718i | ||||
\(829\) | −23.8710 | − | 13.7819i | −0.829073 | − | 0.478666i | 0.0244622 | − | 0.999701i | \(-0.492213\pi\) |
−0.853535 | + | 0.521035i | \(0.825546\pi\) | |||||||
\(830\) | 1.17389 | + | 0.534271i | 0.0407463 | + | 0.0185448i | ||||
\(831\) | 37.3978 | + | 5.04223i | 1.29732 | + | 0.174913i | ||||
\(832\) | −17.1044 | − | 5.17389i | −0.592988 | − | 0.179372i | ||||
\(833\) | −7.67695 | + | 1.35365i | −0.265991 | + | 0.0469013i | ||||
\(834\) | 8.80725 | − | 9.72997i | 0.304970 | − | 0.336921i | ||||
\(835\) | 5.57837 | + | 4.68081i | 0.193048 | + | 0.161986i | ||||
\(836\) | −0.0231231 | + | 0.0418127i | −0.000799731 | + | 0.00144612i | ||||
\(837\) | −44.8025 | + | 13.6666i | −1.54860 | + | 0.472388i | ||||
\(838\) | 10.4934 | − | 40.6580i | 0.362489 | − | 1.40451i | ||||
\(839\) | 22.7744 | + | 19.1100i | 0.786259 | + | 0.659750i | 0.944816 | − | 0.327600i | \(-0.106240\pi\) |
−0.158558 | + | 0.987350i | \(0.550684\pi\) | |||||||
\(840\) | 2.84014 | + | 0.556888i | 0.0979940 | + | 0.0192145i | ||||
\(841\) | 4.14263 | + | 23.4940i | 0.142849 | + | 0.810138i | ||||
\(842\) | −22.9832 | + | 33.4762i | −0.792052 | + | 1.15367i | ||||
\(843\) | −7.60237 | − | 18.5169i | −0.261839 | − | 0.637755i | ||||
\(844\) | −20.9246 | + | 25.8920i | −0.720253 | + | 0.891240i | ||||
\(845\) | 1.81840 | − | 3.14956i | 0.0625548 | − | 0.108348i | ||||
\(846\) | 16.7163 | − | 9.71777i | 0.574719 | − | 0.334104i | ||||
\(847\) | −12.3959 | + | 7.15675i | −0.425927 | + | 0.245909i | ||||
\(848\) | −32.8587 | − | 25.5676i | −1.12837 | − | 0.877993i | ||||
\(849\) | −5.49660 | + | 5.00526i | −0.188643 | + | 0.171780i | ||||
\(850\) | −4.29189 | − | 8.98669i | −0.147210 | − | 0.308241i | ||||
\(851\) | −7.24453 | − | 8.63370i | −0.248339 | − | 0.295959i | ||||
\(852\) | 33.9514 | − | 8.07456i | 1.16315 | − | 0.276630i | ||||
\(853\) | −14.9845 | − | 41.1697i | −0.513061 | − | 1.40962i | −0.878031 | − | 0.478604i | \(-0.841143\pi\) |
0.364970 | − | 0.931019i | \(-0.381079\pi\) | |||||||
\(854\) | −4.43765 | − | 15.9710i | −0.151853 | − | 0.546516i | ||||
\(855\) | 1.31376 | − | 1.29747i | 0.0449297 | − | 0.0443726i | ||||
\(856\) | −5.43829 | − | 18.2598i | −0.185877 | − | 0.624109i | ||||
\(857\) | −12.6966 | − | 2.23875i | −0.433708 | − | 0.0764744i | −0.0474680 | − | 0.998873i | \(-0.515115\pi\) |
−0.386240 | + | 0.922398i | \(0.626226\pi\) | |||||||
\(858\) | 0.0955168 | − | 0.0131685i | 0.00326089 | − | 0.000449564i | ||||
\(859\) | −26.7551 | − | 9.73806i | −0.912872 | − | 0.332258i | −0.157473 | − | 0.987523i | \(-0.550335\pi\) |
−0.755399 | + | 0.655265i | \(0.772557\pi\) | |||||||
\(860\) | 3.19823 | − | 9.31826i | 0.109059 | − | 0.317750i | ||||
\(861\) | −2.93448 | − | 4.63807i | −0.100007 | − | 0.158065i | ||||
\(862\) | −21.8260 | − | 30.5669i | −0.743396 | − | 1.04111i | ||||
\(863\) | 46.6170 | 1.58686 | 0.793431 | − | 0.608660i | \(-0.208293\pi\) | ||||
0.793431 | + | 0.608660i | \(0.208293\pi\) | |||||||
\(864\) | −2.36020 | − | 29.2990i | −0.0802956 | − | 0.996771i | ||||
\(865\) | −6.14571 | −0.208961 | ||||||||
\(866\) | −1.27602 | − | 1.78704i | −0.0433609 | − | 0.0607262i | ||||
\(867\) | −11.9414 | + | 22.7656i | −0.405551 | + | 0.773159i | ||||
\(868\) | −7.61603 | + | 22.1898i | −0.258505 | + | 0.753172i | ||||
\(869\) | −0.133877 | − | 0.0487272i | −0.00454146 | − | 0.00165296i | ||||
\(870\) | −3.04839 | + | 7.48838i | −0.103350 | + | 0.253880i | ||||
\(871\) | −10.6262 | − | 1.87368i | −0.360054 | − | 0.0634873i | ||||
\(872\) | −2.35500 | − | 7.90726i | −0.0797505 | − | 0.267774i | ||||
\(873\) | −30.4110 | + | 13.9506i | −1.02926 | + | 0.472157i | ||||
\(874\) | −1.09213 | − | 3.93053i | −0.0369417 | − | 0.132952i | ||||
\(875\) | 1.97894 | + | 5.43708i | 0.0669003 | + | 0.183807i | ||||
\(876\) | −1.61527 | − | 1.70942i | −0.0545749 | − | 0.0577558i | ||||
\(877\) | −3.98303 | − | 4.74679i | −0.134497 | − | 0.160288i | 0.694592 | − | 0.719404i | \(-0.255585\pi\) |
−0.829089 | + | 0.559116i | \(0.811141\pi\) | |||||||
\(878\) | 0.700061 | + | 1.46584i | 0.0236259 | + | 0.0494698i | ||||
\(879\) | −4.64617 | − | 21.2713i | −0.156712 | − | 0.717463i | ||||
\(880\) | 0.0196528 | − | 0.0252572i | 0.000662495 | − | 0.000851421i | ||||
\(881\) | −21.9173 | + | 12.6539i | −0.738412 | + | 0.426322i | −0.821492 | − | 0.570221i | \(-0.806858\pi\) |
0.0830799 | + | 0.996543i | \(0.473524\pi\) | |||||||
\(882\) | −7.76348 | − | 21.1336i | −0.261410 | − | 0.711606i | ||||
\(883\) | 15.7424 | − | 27.2667i | 0.529775 | − | 0.917597i | −0.469622 | − | 0.882868i | \(-0.655610\pi\) |
0.999397 | − | 0.0347290i | \(-0.0110568\pi\) | |||||||
\(884\) | 4.12488 | − | 5.10412i | 0.138735 | − | 0.171670i | ||||
\(885\) | −5.27444 | + | 6.82958i | −0.177298 | + | 0.229574i | ||||
\(886\) | −13.5627 | + | 19.7547i | −0.455647 | + | 0.663674i | ||||
\(887\) | 0.0310073 | + | 0.175851i | 0.00104112 | + | 0.00590451i | 0.985324 | − | 0.170695i | \(-0.0546013\pi\) |
−0.984283 | + | 0.176600i | \(0.943490\pi\) | |||||||
\(888\) | −17.0561 | + | 19.5561i | −0.572365 | + | 0.656260i | ||||
\(889\) | −17.2584 | − | 14.4815i | −0.578827 | − | 0.485694i | ||||
\(890\) | 0.0192209 | − | 0.0744737i | 0.000644287 | − | 0.00249636i | ||||
\(891\) | 0.0775808 | + | 0.138331i | 0.00259906 | + | 0.00463427i | ||||
\(892\) | 2.68864 | − | 4.86177i | 0.0900223 | − | 0.162784i | ||||
\(893\) | −4.73299 | − | 3.97145i | −0.158384 | − | 0.132900i | ||||
\(894\) | −34.3599 | − | 7.39773i | −1.14917 | − | 0.247417i | ||||
\(895\) | 5.08477 | − | 0.896582i | 0.169965 | − | 0.0299694i | ||||
\(896\) | −12.5792 | − | 7.64879i | −0.420243 | − | 0.255528i | ||||
\(897\) | −5.03181 | + | 6.51541i | −0.168007 | + | 0.217543i | ||||
\(898\) | −39.4946 | − | 17.9751i | −1.31795 | − | 0.599838i | ||||
\(899\) | −56.7571 | − | 32.7687i | −1.89296 | − | 1.09290i | ||||
\(900\) | 23.3584 | − | 16.7843i | 0.778613 | − | 0.559475i | ||||
\(901\) | 13.2413 | − | 7.64488i | 0.441132 | − | 0.254688i | ||||
\(902\) | −0.0604054 | + | 0.00584653i | −0.00201128 | + | 0.000194668i | ||||
\(903\) | 23.8909 | − | 5.21836i | 0.795040 | − | 0.173656i | ||||
\(904\) | 3.28644 | − | 55.0736i | 0.109305 | − | 1.83172i | ||||
\(905\) | −4.32570 | − | 5.15517i | −0.143791 | − | 0.171364i | ||||
\(906\) | 15.5033 | − | 24.6661i | 0.515061 | − | 0.819477i | ||||
\(907\) | −18.2575 | + | 6.64519i | −0.606231 | + | 0.220650i | −0.626853 | − | 0.779137i | \(-0.715657\pi\) |
0.0206225 | + | 0.999787i | \(0.493435\pi\) | |||||||
\(908\) | 49.4444 | − | 0.911974i | 1.64087 | − | 0.0302649i | ||||
\(909\) | −4.67372 | + | 49.8382i | −0.155017 | + | 1.65303i | ||||
\(910\) | −1.30741 | + | 1.33175i | −0.0433403 | + | 0.0441471i | ||||
\(911\) | −0.423720 | + | 2.40304i | −0.0140385 | + | 0.0796161i | −0.991022 | − | 0.133698i | \(-0.957315\pi\) |
0.976984 | + | 0.213314i | \(0.0684258\pi\) | |||||||
\(912\) | −8.55120 | + | 3.88523i | −0.283158 | + | 0.128653i | ||||
\(913\) | 0.0332645 | + | 0.0121073i | 0.00110089 | + | 0.000400693i | ||||
\(914\) | −0.789808 | + | 10.0993i | −0.0261245 | + | 0.334055i | ||||
\(915\) | 6.27252 | + | 3.29017i | 0.207363 | + | 0.108770i | ||||
\(916\) | 29.2529 | − | 11.2623i | 0.966542 | − | 0.372118i | ||||
\(917\) | 4.01015 | 0.132427 | ||||||||
\(918\) | 10.2946 | + | 3.24741i | 0.339772 | + | 0.107181i | ||||
\(919\) | − | 2.20402i | − | 0.0727038i | −0.999339 | − | 0.0363519i | \(-0.988426\pi\) | ||
0.999339 | − | 0.0363519i | \(-0.0115737\pi\) | |||||||
\(920\) | 0.313335 | + | 2.71430i | 0.0103304 | + | 0.0894879i | ||||
\(921\) | 13.8312 | + | 21.8608i | 0.455753 | + | 0.720337i | ||||
\(922\) | −0.913825 | + | 11.6851i | −0.0300952 | + | 0.384829i | ||||
\(923\) | −7.69653 | + | 21.1460i | −0.253334 | + | 0.696030i | ||||
\(924\) | 0.0789065 | + | 0.00916055i | 0.00259583 | + | 0.000301360i | ||||
\(925\) | −25.0065 | − | 4.40933i | −0.822210 | − | 0.144978i | ||||
\(926\) | 0.390591 | + | 0.383454i | 0.0128356 | + | 0.0126011i | ||||
\(927\) | −12.6761 | + | 46.1544i | −0.416339 | + | 1.51591i | ||||
\(928\) | 27.7097 | − | 30.3904i | 0.909617 | − | 0.997614i | ||||
\(929\) | 3.30889 | + | 9.09111i | 0.108561 | + | 0.298270i | 0.982063 | − | 0.188551i | \(-0.0603789\pi\) |
−0.873502 | + | 0.486820i | \(0.838157\pi\) | |||||||
\(930\) | −4.68312 | − | 8.86371i | −0.153566 | − | 0.290652i | ||||
\(931\) | −5.51109 | + | 4.62435i | −0.180619 | + | 0.151557i | ||||
\(932\) | 7.75945 | + | 39.7092i | 0.254169 | + | 1.30072i | ||||
\(933\) | 1.56337 | − | 1.42362i | 0.0511823 | − | 0.0466071i | ||||
\(934\) | −0.907587 | − | 9.37704i | −0.0296972 | − | 0.306826i | ||||
\(935\) | 0.00587632 | + | 0.0101781i | 0.000192176 | + | 0.000332859i | ||||
\(936\) | 16.6137 | + | 9.12304i | 0.543036 | + | 0.298196i | ||||
\(937\) | −22.2202 | + | 38.4864i | −0.725901 | + | 1.25730i | 0.232701 | + | 0.972548i | \(0.425243\pi\) |
−0.958602 | + | 0.284749i | \(0.908090\pi\) | |||||||
\(938\) | −8.09091 | − | 3.68241i | −0.264178 | − | 0.120235i | ||||
\(939\) | −6.38013 | + | 2.61945i | −0.208208 | + | 0.0854826i | ||||
\(940\) | 2.71801 | + | 3.12047i | 0.0886516 | + | 0.101779i | ||||
\(941\) | 7.38960 | + | 41.9085i | 0.240894 | + | 1.36618i | 0.829838 | + | 0.558004i | \(0.188433\pi\) |
−0.588944 | + | 0.808174i | \(0.700456\pi\) | |||||||
\(942\) | 39.2025 | − | 12.6240i | 1.27729 | − | 0.411313i | ||||
\(943\) | 3.33056 | − | 3.96920i | 0.108458 | − | 0.129255i | ||||
\(944\) | 37.1785 | − | 23.3341i | 1.21006 | − | 0.759460i | ||||
\(945\) | −2.82499 | − | 1.20124i | −0.0918970 | − | 0.0390763i | ||||
\(946\) | 0.0675731 | − | 0.261820i | 0.00219699 | − | 0.00851250i | ||||
\(947\) | 30.3650 | − | 36.1877i | 0.986731 | − | 1.17594i | 0.00233119 | − | 0.999997i | \(-0.499258\pi\) |
0.984400 | − | 0.175943i | \(-0.0562976\pi\) | |||||||
\(948\) | −15.4076 | − | 23.3865i | −0.500416 | − | 0.759557i | ||||
\(949\) | 1.49348 | − | 0.263341i | 0.0484804 | − | 0.00854841i | ||||
\(950\) | −7.57707 | − | 5.20206i | −0.245833 | − | 0.168777i | ||||
\(951\) | −1.71330 | + | 12.7074i | −0.0555575 | + | 0.412065i | ||||
\(952\) | 4.34134 | − | 3.22240i | 0.140704 | − | 0.104439i | ||||
\(953\) | −23.8540 | − | 13.7721i | −0.772707 | − | 0.446123i | 0.0611321 | − | 0.998130i | \(-0.480529\pi\) |
−0.833840 | + | 0.552007i | \(0.813862\pi\) | |||||||
\(954\) | 28.4860 | + | 33.7434i | 0.922270 | + | 1.09248i | ||||
\(955\) | −4.27868 | − | 7.41089i | −0.138455 | − | 0.239811i | ||||
\(956\) | −16.9275 | − | 2.66389i | −0.547473 | − | 0.0861563i | ||||
\(957\) | −0.0673888 | + | 0.211428i | −0.00217837 | + | 0.00683451i | ||||
\(958\) | −1.44640 | + | 0.690774i | −0.0467309 | + | 0.0223179i | ||||
\(959\) | −11.7461 | + | 9.85611i | −0.379300 | + | 0.318270i | ||||
\(960\) | 6.06233 | − | 1.68024i | 0.195661 | − | 0.0542295i | ||||
\(961\) | 47.2298 | − | 17.1902i | 1.52354 | − | 0.554524i | ||||
\(962\) | −4.47952 | − | 16.1217i | −0.144426 | − | 0.519784i | ||||
\(963\) | 1.63565 | + | 20.1419i | 0.0527081 | + | 0.649064i | ||||
\(964\) | −24.7649 | + | 14.9136i | −0.797624 | + | 0.480335i | ||||
\(965\) | 0.166374 | − | 0.943555i | 0.00535578 | − | 0.0303741i | ||||
\(966\) | −5.35537 | + | 4.16148i | −0.172306 | + | 0.133894i | ||||
\(967\) | −0.543982 | + | 1.49458i | −0.0174933 | + | 0.0480624i | −0.948132 | − | 0.317877i | \(-0.897030\pi\) |
0.930639 | + | 0.365939i | \(0.119252\pi\) | |||||||
\(968\) | −17.1333 | + | 25.9692i | −0.550684 | + | 0.834680i | ||||
\(969\) | −0.139707 | − | 3.44646i | −0.00448805 | − | 0.110716i | ||||
\(970\) | −4.16113 | − | 5.82759i | −0.133606 | − | 0.187113i | ||||
\(971\) | 9.93969i | 0.318980i | 0.987200 | + | 0.159490i | \(0.0509849\pi\) | ||||
−0.987200 | + | 0.159490i | \(0.949015\pi\) | |||||||
\(972\) | −3.98137 | + | 30.9217i | −0.127702 | + | 0.991813i | ||||
\(973\) | 6.97199i | 0.223512i | ||||||||
\(974\) | 48.2968 | − | 34.4858i | 1.54753 | − | 1.10500i | ||||
\(975\) | 0.751218 | + | 18.5319i | 0.0240582 | + | 0.593496i | ||||
\(976\) | −24.1615 | − | 26.7275i | −0.773390 | − | 0.855527i | ||||
\(977\) | 13.5121 | − | 37.1242i | 0.432290 | − | 1.18771i | −0.512113 | − | 0.858918i | \(-0.671137\pi\) |
0.944403 | − | 0.328789i | \(-0.106641\pi\) | |||||||
\(978\) | 15.2967 | + | 19.6852i | 0.489136 | + | 0.629464i | ||||
\(979\) | 0.000366577 | − | 0.00207896i | 1.17158e−5 | − | 6.64438e-5i | ||||
\(980\) | 4.12784 | − | 2.48581i | 0.131859 | − | 0.0794064i | ||||
\(981\) | 0.708304 | + | 8.72227i | 0.0226144 | + | 0.278481i | ||||
\(982\) | −28.0622 | + | 7.79730i | −0.895502 | + | 0.248822i | ||||
\(983\) | −30.2880 | + | 11.0239i | −0.966036 | + | 0.351608i | −0.776396 | − | 0.630245i | \(-0.782954\pi\) |
−0.189640 | + | 0.981854i | \(0.560732\pi\) | |||||||
\(984\) | −10.2156 | − | 6.16093i | −0.325663 | − | 0.196403i | ||||
\(985\) | 3.98484 | − | 3.34368i | 0.126967 | − | 0.106538i | ||||
\(986\) | 6.50894 | + | 13.6289i | 0.207287 | + | 0.434033i | ||||
\(987\) | −3.11936 | + | 9.78679i | −0.0992902 | + | 0.311517i | ||||
\(988\) | 0.941518 | − | 5.98280i | 0.0299537 | − | 0.190338i | ||||
\(989\) | 11.5432 | + | 19.9933i | 0.367051 | + | 0.635751i | ||||
\(990\) | −0.0259372 | + | 0.0218961i | −0.000824339 | + | 0.000695904i | ||||
\(991\) | 2.66599 | + | 1.53921i | 0.0846881 | + | 0.0488947i | 0.541746 | − | 0.840542i | \(-0.317763\pi\) |
−0.457058 | + | 0.889437i | \(0.651097\pi\) | |||||||
\(992\) | 6.78099 | + | 50.5407i | 0.215297 | + | 1.60467i | ||||
\(993\) | 0.693642 | − | 5.14469i | 0.0220121 | − | 0.163262i | ||||
\(994\) | −10.4932 | + | 15.2840i | −0.332826 | + | 0.484778i | ||||
\(995\) | 2.54100 | − | 0.448048i | 0.0805553 | − | 0.0142041i | ||||
\(996\) | 3.82834 | + | 5.81085i | 0.121306 | + | 0.184124i | ||||
\(997\) | 27.9424 | − | 33.3004i | 0.884944 | − | 1.05464i | −0.113190 | − | 0.993573i | \(-0.536107\pi\) |
0.998134 | − | 0.0610619i | \(-0.0194487\pi\) | |||||||
\(998\) | 13.7303 | + | 3.54367i | 0.434626 | + | 0.112173i | ||||
\(999\) | 21.9913 | − | 16.5499i | 0.695775 | − | 0.523617i |
(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 | 216.2.v.b.11.22 | yes | 192 | |
3.2 | odd | 2 | 648.2.v.b.35.11 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.335.2 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.11.5 | ✓ | 192 | |
8.5 | even | 2 | 864.2.bh.b.335.1 | 192 | |||
24.11 | even | 2 | 648.2.v.b.35.28 | 192 | |||
27.5 | odd | 18 | inner | 216.2.v.b.59.5 | yes | 192 | |
27.22 | even | 9 | 648.2.v.b.611.28 | 192 | |||
108.59 | even | 18 | 864.2.bh.b.815.1 | 192 | |||
216.5 | odd | 18 | 864.2.bh.b.815.2 | 192 | |||
216.59 | even | 18 | inner | 216.2.v.b.59.22 | yes | 192 | |
216.211 | odd | 18 | 648.2.v.b.611.11 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.5 | ✓ | 192 | 8.3 | odd | 2 | inner | |
216.2.v.b.11.22 | yes | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.59.5 | yes | 192 | 27.5 | odd | 18 | inner | |
216.2.v.b.59.22 | yes | 192 | 216.59 | even | 18 | inner | |
648.2.v.b.35.11 | 192 | 3.2 | odd | 2 | |||
648.2.v.b.35.28 | 192 | 24.11 | even | 2 | |||
648.2.v.b.611.11 | 192 | 216.211 | odd | 18 | |||
648.2.v.b.611.28 | 192 | 27.22 | even | 9 | |||
864.2.bh.b.335.1 | 192 | 8.5 | even | 2 | |||
864.2.bh.b.335.2 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.815.1 | 192 | 108.59 | even | 18 | |||
864.2.bh.b.815.2 | 192 | 216.5 | odd | 18 |