Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 53.9 | ||
Character | \(\chi\) | \(=\) | 150.53 |
Dual form | 150.2.l.a.17.9 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.891007 | − | 0.453990i | 0.630037 | − | 0.321020i | ||||
\(3\) | 0.832356 | + | 1.51894i | 0.480561 | + | 0.876961i | ||||
\(4\) | 0.587785 | − | 0.809017i | 0.293893 | − | 0.404508i | ||||
\(5\) | 0.0831552 | − | 2.23452i | 0.0371882 | − | 0.999308i | ||||
\(6\) | 1.43122 | + | 0.975505i | 0.584293 | + | 0.398248i | ||||
\(7\) | 0.0556476 | − | 0.0556476i | 0.0210328 | − | 0.0210328i | −0.696512 | − | 0.717545i | \(-0.745266\pi\) |
0.717545 | + | 0.696512i | \(0.245266\pi\) | |||||||
\(8\) | 0.156434 | − | 0.987688i | 0.0553079 | − | 0.349201i | ||||
\(9\) | −1.61437 | + | 2.52860i | −0.538123 | + | 0.842867i | ||||
\(10\) | −0.940360 | − | 2.02872i | −0.297368 | − | 0.641539i | ||||
\(11\) | 1.04749 | + | 0.340351i | 0.315831 | + | 0.102620i | 0.462643 | − | 0.886545i | \(-0.346901\pi\) |
−0.146812 | + | 0.989164i | \(0.546901\pi\) | |||||||
\(12\) | 1.71810 | + | 0.219422i | 0.495972 | + | 0.0633416i | ||||
\(13\) | −2.31368 | + | 4.54086i | −0.641700 | + | 1.25941i | 0.309520 | + | 0.950893i | \(0.399832\pi\) |
−0.951220 | + | 0.308514i | \(0.900168\pi\) | |||||||
\(14\) | 0.0243189 | − | 0.0748459i | 0.00649950 | − | 0.0200034i | ||||
\(15\) | 3.46332 | − | 1.73361i | 0.894226 | − | 0.447616i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | −3.10226 | − | 0.491350i | −0.752408 | − | 0.119170i | −0.231562 | − | 0.972820i | \(-0.574384\pi\) |
−0.520846 | + | 0.853650i | \(0.674384\pi\) | |||||||
\(18\) | −0.290452 | + | 2.98591i | −0.0684602 | + | 0.703785i | ||||
\(19\) | −0.824223 | − | 1.13445i | −0.189090 | − | 0.260260i | 0.703938 | − | 0.710262i | \(-0.251423\pi\) |
−0.893028 | + | 0.450002i | \(0.851423\pi\) | |||||||
\(20\) | −1.75889 | − | 1.38069i | −0.393299 | − | 0.308732i | ||||
\(21\) | 0.130844 | + | 0.0382069i | 0.0285525 | + | 0.00833742i | ||||
\(22\) | 1.08784 | − | 0.172297i | 0.231928 | − | 0.0367338i | ||||
\(23\) | −1.13408 | − | 2.22575i | −0.236472 | − | 0.464102i | 0.742023 | − | 0.670375i | \(-0.233867\pi\) |
−0.978495 | + | 0.206273i | \(0.933867\pi\) | |||||||
\(24\) | 1.63045 | − | 0.584493i | 0.332814 | − | 0.119309i | ||||
\(25\) | −4.98617 | − | 0.371624i | −0.997234 | − | 0.0743249i | ||||
\(26\) | 5.09632i | 0.999471i | ||||||||
\(27\) | −5.18452 | − | 0.347436i | −0.997762 | − | 0.0668641i | ||||
\(28\) | −0.0123110 | − | 0.0777287i | −0.00232656 | − | 0.0146893i | ||||
\(29\) | −5.66803 | − | 4.11807i | −1.05253 | − | 0.764705i | −0.0798355 | − | 0.996808i | \(-0.525440\pi\) |
−0.972691 | + | 0.232103i | \(0.925440\pi\) | |||||||
\(30\) | 2.29880 | − | 3.11697i | 0.419702 | − | 0.569079i | ||||
\(31\) | 7.72991 | − | 5.61611i | 1.38833 | − | 1.00868i | 0.392287 | − | 0.919843i | \(-0.371684\pi\) |
0.996046 | − | 0.0888399i | \(-0.0283160\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 0.354913 | + | 1.87437i | 0.0617824 | + | 0.326286i | ||||
\(34\) | −2.98720 | + | 0.970601i | −0.512301 | + | 0.166457i | ||||
\(35\) | −0.119718 | − | 0.128973i | −0.0202361 | − | 0.0218004i | ||||
\(36\) | 1.09678 | + | 2.79232i | 0.182796 | + | 0.465387i | ||||
\(37\) | 9.23065 | + | 4.70325i | 1.51751 | + | 0.773210i | 0.996755 | − | 0.0804961i | \(-0.0256505\pi\) |
0.520755 | + | 0.853706i | \(0.325650\pi\) | |||||||
\(38\) | −1.24942 | − | 0.636609i | −0.202682 | − | 0.103272i | ||||
\(39\) | −8.82310 | + | 0.265260i | −1.41283 | + | 0.0424756i | ||||
\(40\) | −2.19400 | − | 0.431688i | −0.346902 | − | 0.0682558i | ||||
\(41\) | −3.55210 | + | 1.15415i | −0.554745 | + | 0.180248i | −0.572956 | − | 0.819586i | \(-0.694203\pi\) |
0.0182101 | + | 0.999834i | \(0.494203\pi\) | |||||||
\(42\) | 0.133928 | − | 0.0253594i | 0.0206656 | − | 0.00391304i | ||||
\(43\) | −1.00563 | − | 1.00563i | −0.153357 | − | 0.153357i | 0.626258 | − | 0.779616i | \(-0.284586\pi\) |
−0.779616 | + | 0.626258i | \(0.784586\pi\) | |||||||
\(44\) | 0.891050 | − | 0.647386i | 0.134331 | − | 0.0975971i | ||||
\(45\) | 5.51597 | + | 3.81761i | 0.822272 | + | 0.569095i | ||||
\(46\) | −2.02094 | − | 1.46830i | −0.297972 | − | 0.216489i | ||||
\(47\) | 1.98797 | + | 12.5515i | 0.289975 | + | 1.83083i | 0.515858 | + | 0.856674i | \(0.327473\pi\) |
−0.225883 | + | 0.974154i | \(0.572527\pi\) | |||||||
\(48\) | 1.18739 | − | 1.26100i | 0.171385 | − | 0.182009i | ||||
\(49\) | 6.99381i | 0.999115i | ||||||||
\(50\) | −4.61142 | + | 1.93255i | −0.652154 | + | 0.273304i | ||||
\(51\) | −1.83585 | − | 5.12113i | −0.257071 | − | 0.717101i | ||||
\(52\) | 2.31368 | + | 4.54086i | 0.320850 | + | 0.629704i | ||||
\(53\) | 6.70559 | − | 1.06206i | 0.921083 | − | 0.145885i | 0.322154 | − | 0.946687i | \(-0.395593\pi\) |
0.598929 | + | 0.800802i | \(0.295593\pi\) | |||||||
\(54\) | −4.77718 | + | 2.04416i | −0.650091 | + | 0.278175i | ||||
\(55\) | 0.847626 | − | 2.31234i | 0.114294 | − | 0.311796i | ||||
\(56\) | −0.0462573 | − | 0.0636677i | −0.00618139 | − | 0.00850795i | ||||
\(57\) | 1.03711 | − | 2.19621i | 0.137369 | − | 0.290895i | ||||
\(58\) | −6.91981 | − | 1.09599i | −0.908616 | − | 0.143911i | ||||
\(59\) | −2.03647 | − | 6.26761i | −0.265126 | − | 0.815974i | −0.991664 | − | 0.128848i | \(-0.958872\pi\) |
0.726538 | − | 0.687126i | \(-0.241128\pi\) | |||||||
\(60\) | 0.633171 | − | 3.82088i | 0.0817420 | − | 0.493273i | ||||
\(61\) | 1.23324 | − | 3.79553i | 0.157901 | − | 0.485968i | −0.840543 | − | 0.541745i | \(-0.817764\pi\) |
0.998443 | + | 0.0557774i | \(0.0177637\pi\) | |||||||
\(62\) | 4.33774 | − | 8.51329i | 0.550894 | − | 1.08119i | ||||
\(63\) | 0.0508748 | + | 0.230546i | 0.00640962 | + | 0.0290461i | ||||
\(64\) | −0.951057 | − | 0.309017i | −0.118882 | − | 0.0386271i | ||||
\(65\) | 9.95425 | + | 5.54757i | 1.23467 | + | 0.688091i | ||||
\(66\) | 1.16718 | + | 1.50895i | 0.143670 | + | 0.185739i | ||||
\(67\) | −1.04169 | + | 6.57696i | −0.127263 | + | 0.803504i | 0.838657 | + | 0.544660i | \(0.183341\pi\) |
−0.965919 | + | 0.258844i | \(0.916659\pi\) | |||||||
\(68\) | −2.22097 | + | 2.22097i | −0.269332 | + | 0.269332i | ||||
\(69\) | 2.43683 | − | 3.57522i | 0.293360 | − | 0.430406i | ||||
\(70\) | −0.165222 | − | 0.0605649i | −0.0197479 | − | 0.00723889i | ||||
\(71\) | 7.51096 | − | 10.3379i | 0.891387 | − | 1.22689i | −0.0817481 | − | 0.996653i | \(-0.526050\pi\) |
0.973135 | − | 0.230236i | \(-0.0739497\pi\) | |||||||
\(72\) | 2.24493 | + | 1.99005i | 0.264567 | + | 0.234530i | ||||
\(73\) | 1.18329 | − | 0.602914i | 0.138493 | − | 0.0705658i | −0.383371 | − | 0.923595i | \(-0.625237\pi\) |
0.521864 | + | 0.853029i | \(0.325237\pi\) | |||||||
\(74\) | 10.3598 | 1.20430 | ||||||||
\(75\) | −3.58579 | − | 7.88303i | −0.414052 | − | 0.910253i | ||||
\(76\) | −1.40225 | −0.160849 | ||||||||
\(77\) | 0.0772302 | − | 0.0393507i | 0.00880119 | − | 0.00448443i | ||||
\(78\) | −7.74102 | + | 4.24195i | −0.876498 | + | 0.480307i | ||||
\(79\) | 5.85354 | − | 8.05671i | 0.658575 | − | 0.906451i | −0.340858 | − | 0.940115i | \(-0.610718\pi\) |
0.999433 | + | 0.0336639i | \(0.0107176\pi\) | |||||||
\(80\) | −2.15085 | + | 0.611420i | −0.240473 | + | 0.0683588i | ||||
\(81\) | −3.78763 | − | 8.16418i | −0.420848 | − | 0.907131i | ||||
\(82\) | −2.64098 | + | 2.64098i | −0.291647 | + | 0.291647i | ||||
\(83\) | 0.137997 | − | 0.871279i | 0.0151471 | − | 0.0956353i | −0.978957 | − | 0.204069i | \(-0.934583\pi\) |
0.994104 | + | 0.108433i | \(0.0345834\pi\) | |||||||
\(84\) | 0.107818 | − | 0.0833977i | 0.0117639 | − | 0.00909943i | ||||
\(85\) | −1.35590 | + | 6.89121i | −0.147068 | + | 0.747456i | ||||
\(86\) | −1.35257 | − | 0.439477i | −0.145851 | − | 0.0473900i | ||||
\(87\) | 1.53728 | − | 12.0371i | 0.164814 | − | 1.29051i | ||||
\(88\) | 0.500025 | − | 0.981353i | 0.0533028 | − | 0.104613i | ||||
\(89\) | −1.01326 | + | 3.11850i | −0.107406 | + | 0.330560i | −0.990288 | − | 0.139035i | \(-0.955600\pi\) |
0.882882 | + | 0.469595i | \(0.155600\pi\) | |||||||
\(90\) | 6.64792 | + | 0.897315i | 0.700752 | + | 0.0945853i | ||||
\(91\) | 0.123937 | + | 0.381439i | 0.0129921 | + | 0.0399856i | ||||
\(92\) | −2.46727 | − | 0.390777i | −0.257230 | − | 0.0407413i | ||||
\(93\) | 14.9646 | + | 7.06668i | 1.55175 | + | 0.732781i | ||||
\(94\) | 7.46957 | + | 10.2810i | 0.770427 | + | 1.06040i | ||||
\(95\) | −2.60348 | + | 1.74741i | −0.267112 | + | 0.179280i | ||||
\(96\) | 0.485490 | − | 1.66262i | 0.0495501 | − | 0.169690i | ||||
\(97\) | −10.2531 | + | 1.62393i | −1.04104 | + | 0.164885i | −0.653469 | − | 0.756953i | \(-0.726687\pi\) |
−0.387575 | + | 0.921838i | \(0.626687\pi\) | |||||||
\(98\) | 3.17512 | + | 6.23153i | 0.320736 | + | 0.629479i | ||||
\(99\) | −2.55165 | + | 2.09924i | −0.256450 | + | 0.210981i | ||||
\(100\) | −3.23145 | + | 3.81546i | −0.323145 | + | 0.381546i | ||||
\(101\) | 14.0377i | 1.39680i | 0.715708 | + | 0.698399i | \(0.246104\pi\) | ||||
−0.715708 | + | 0.698399i | \(0.753896\pi\) | |||||||
\(102\) | −3.96070 | − | 3.72950i | −0.392168 | − | 0.369276i | ||||
\(103\) | −2.06559 | − | 13.0416i | −0.203529 | − | 1.28503i | −0.851900 | − | 0.523705i | \(-0.824549\pi\) |
0.648371 | − | 0.761324i | \(-0.275451\pi\) | |||||||
\(104\) | 4.12301 | + | 2.99554i | 0.404295 | + | 0.293737i | ||||
\(105\) | 0.0962544 | − | 0.289197i | 0.00939347 | − | 0.0282227i | ||||
\(106\) | 5.49256 | − | 3.99058i | 0.533484 | − | 0.387599i | ||||
\(107\) | 13.7619 | + | 13.7619i | 1.33041 | + | 1.33041i | 0.904999 | + | 0.425413i | \(0.139871\pi\) |
0.425413 | + | 0.904999i | \(0.360129\pi\) | |||||||
\(108\) | −3.32847 | + | 3.99015i | −0.320282 | + | 0.383952i | ||||
\(109\) | 11.7044 | − | 3.80299i | 1.12108 | − | 0.364260i | 0.310898 | − | 0.950443i | \(-0.399370\pi\) |
0.810178 | + | 0.586183i | \(0.199370\pi\) | |||||||
\(110\) | −0.294541 | − | 2.44513i | −0.0280834 | − | 0.233134i | ||||
\(111\) | 0.539221 | + | 17.9356i | 0.0511805 | + | 1.70237i | ||||
\(112\) | −0.0701201 | − | 0.0357280i | −0.00662572 | − | 0.00337598i | ||||
\(113\) | −6.80204 | − | 3.46581i | −0.639882 | − | 0.326036i | 0.103771 | − | 0.994601i | \(-0.466909\pi\) |
−0.743654 | + | 0.668565i | \(0.766909\pi\) | |||||||
\(114\) | −0.0729862 | − | 2.42768i | −0.00683579 | − | 0.227373i | ||||
\(115\) | −5.06780 | + | 2.34904i | −0.472575 | + | 0.219049i | ||||
\(116\) | −6.66317 | + | 2.16499i | −0.618660 | + | 0.201015i | ||||
\(117\) | −7.74688 | − | 13.1810i | −0.716199 | − | 1.21858i | ||||
\(118\) | −4.65995 | − | 4.65995i | −0.428983 | − | 0.428983i | ||||
\(119\) | −0.199976 | + | 0.145291i | −0.0183317 | + | 0.0133188i | ||||
\(120\) | −1.17048 | − | 3.69188i | −0.106850 | − | 0.337021i | ||||
\(121\) | −7.91779 | − | 5.75261i | −0.719799 | − | 0.522964i | ||||
\(122\) | −0.624308 | − | 3.94172i | −0.0565222 | − | 0.356867i | ||||
\(123\) | −4.70970 | − | 4.43478i | −0.424659 | − | 0.399870i | ||||
\(124\) | − | 9.55469i | − | 0.858037i | ||||||
\(125\) | −1.24503 | + | 11.1108i | −0.111359 | + | 0.993780i | ||||
\(126\) | 0.149996 | + | 0.182322i | 0.0133627 | + | 0.0162425i | ||||
\(127\) | −1.46280 | − | 2.87091i | −0.129803 | − | 0.254752i | 0.816954 | − | 0.576703i | \(-0.195661\pi\) |
−0.946756 | + | 0.321952i | \(0.895661\pi\) | |||||||
\(128\) | −0.987688 | + | 0.156434i | −0.0873001 | + | 0.0138270i | ||||
\(129\) | 0.690452 | − | 2.36454i | 0.0607909 | − | 0.208186i | ||||
\(130\) | 11.3878 | + | 0.423786i | 0.998780 | + | 0.0371685i | ||||
\(131\) | −3.12598 | − | 4.30255i | −0.273118 | − | 0.375915i | 0.650321 | − | 0.759660i | \(-0.274634\pi\) |
−0.923439 | + | 0.383744i | \(0.874634\pi\) | |||||||
\(132\) | 1.72501 | + | 0.814598i | 0.150143 | + | 0.0709017i | ||||
\(133\) | −0.108995 | − | 0.0172632i | −0.00945109 | − | 0.00149690i | ||||
\(134\) | 2.05773 | + | 6.33303i | 0.177761 | + | 0.547091i | ||||
\(135\) | −1.20747 | + | 11.5560i | −0.103923 | + | 0.994585i | ||||
\(136\) | −0.970601 | + | 2.98720i | −0.0832283 | + | 0.256150i | ||||
\(137\) | 5.21451 | − | 10.2341i | 0.445506 | − | 0.874354i | −0.553629 | − | 0.832763i | \(-0.686757\pi\) |
0.999135 | − | 0.0415907i | \(-0.0132426\pi\) | |||||||
\(138\) | 0.548120 | − | 4.29184i | 0.0466591 | − | 0.365346i | ||||
\(139\) | 10.3684 | + | 3.36891i | 0.879440 | + | 0.285747i | 0.713725 | − | 0.700426i | \(-0.247007\pi\) |
0.165715 | + | 0.986174i | \(0.447007\pi\) | |||||||
\(140\) | −0.174710 | + | 0.0210457i | −0.0147657 | + | 0.00177868i | ||||
\(141\) | −17.4103 | + | 13.4669i | −1.46622 | + | 1.13412i | ||||
\(142\) | 1.99898 | − | 12.6211i | 0.167751 | − | 1.05914i | ||||
\(143\) | −3.96905 | + | 3.96905i | −0.331909 | + | 0.331909i | ||||
\(144\) | 2.90371 | + | 0.753975i | 0.241976 | + | 0.0628312i | ||||
\(145\) | −9.67323 | + | 12.3229i | −0.803318 | + | 1.02336i | ||||
\(146\) | 0.780598 | − | 1.07440i | 0.0646028 | − | 0.0889181i | ||||
\(147\) | −10.6232 | + | 5.82134i | −0.876186 | + | 0.480136i | ||||
\(148\) | 9.23065 | − | 4.70325i | 0.758755 | − | 0.386605i | ||||
\(149\) | −14.3679 | −1.17707 | −0.588534 | − | 0.808472i | \(-0.700295\pi\) | ||||
−0.588534 | + | 0.808472i | \(0.700295\pi\) | |||||||
\(150\) | −6.77378 | − | 5.39591i | −0.553077 | − | 0.440574i | ||||
\(151\) | −0.326435 | −0.0265649 | −0.0132824 | − | 0.999912i | \(-0.504228\pi\) | ||||
−0.0132824 | + | 0.999912i | \(0.504228\pi\) | |||||||
\(152\) | −1.24942 | + | 0.636609i | −0.101341 | + | 0.0516358i | ||||
\(153\) | 6.25061 | − | 7.05115i | 0.505332 | − | 0.570052i | ||||
\(154\) | 0.0509477 | − | 0.0701235i | 0.00410548 | − | 0.00565071i | ||||
\(155\) | −11.9065 | − | 17.7397i | −0.956356 | − | 1.42488i | ||||
\(156\) | −4.97149 | + | 7.29396i | −0.398038 | + | 0.583984i | ||||
\(157\) | −3.47556 | + | 3.47556i | −0.277380 | + | 0.277380i | −0.832062 | − | 0.554682i | \(-0.812840\pi\) |
0.554682 | + | 0.832062i | \(0.312840\pi\) | |||||||
\(158\) | 1.55788 | − | 9.83604i | 0.123938 | − | 0.782513i | ||||
\(159\) | 7.19464 | + | 9.30139i | 0.570572 | + | 0.737648i | ||||
\(160\) | −1.63884 | + | 1.52125i | −0.129562 | + | 0.120265i | ||||
\(161\) | −0.186967 | − | 0.0607491i | −0.0147350 | − | 0.00478770i | ||||
\(162\) | −7.08127 | − | 5.55479i | −0.556357 | − | 0.436425i | ||||
\(163\) | −0.695961 | + | 1.36590i | −0.0545119 | + | 0.106986i | −0.916655 | − | 0.399679i | \(-0.869122\pi\) |
0.862143 | + | 0.506664i | \(0.169122\pi\) | |||||||
\(164\) | −1.15415 | + | 3.55210i | −0.0901239 | + | 0.277373i | ||||
\(165\) | 4.21784 | − | 0.637197i | 0.328358 | − | 0.0496057i | ||||
\(166\) | −0.272596 | − | 0.838964i | −0.0211576 | − | 0.0651163i | ||||
\(167\) | −22.1072 | − | 3.50144i | −1.71071 | − | 0.270949i | −0.777133 | − | 0.629336i | \(-0.783327\pi\) |
−0.933573 | + | 0.358387i | \(0.883327\pi\) | |||||||
\(168\) | 0.0582050 | − | 0.123256i | 0.00449061 | − | 0.00950943i | ||||
\(169\) | −7.62505 | − | 10.4950i | −0.586542 | − | 0.807306i | ||||
\(170\) | 1.92043 | + | 6.75568i | 0.147290 | + | 0.518137i | ||||
\(171\) | 4.19916 | − | 0.252718i | 0.321118 | − | 0.0193258i | ||||
\(172\) | −1.40467 | + | 0.222477i | −0.107105 | + | 0.0169637i | ||||
\(173\) | 6.43491 | + | 12.6292i | 0.489237 | + | 0.960182i | 0.995222 | + | 0.0976395i | \(0.0311292\pi\) |
−0.505985 | + | 0.862542i | \(0.668871\pi\) | |||||||
\(174\) | −4.09500 | − | 11.4230i | −0.310441 | − | 0.865979i | ||||
\(175\) | −0.298148 | + | 0.256788i | −0.0225379 | + | 0.0194114i | ||||
\(176\) | − | 1.10140i | − | 0.0830211i | ||||||
\(177\) | 7.82507 | − | 8.31016i | 0.588168 | − | 0.624630i | ||||
\(178\) | 0.512946 | + | 3.23861i | 0.0384469 | + | 0.242744i | ||||
\(179\) | 12.2896 | + | 8.92889i | 0.918565 | + | 0.667377i | 0.943167 | − | 0.332320i | \(-0.107832\pi\) |
−0.0246011 | + | 0.999697i | \(0.507832\pi\) | |||||||
\(180\) | 6.33071 | − | 2.21858i | 0.471863 | − | 0.165363i | ||||
\(181\) | −8.30933 | + | 6.03708i | −0.617627 | + | 0.448733i | −0.852092 | − | 0.523392i | \(-0.824666\pi\) |
0.234465 | + | 0.972125i | \(0.424666\pi\) | |||||||
\(182\) | 0.283598 | + | 0.283598i | 0.0210217 | + | 0.0210217i | ||||
\(183\) | 6.79169 | − | 1.28601i | 0.502056 | − | 0.0950645i | ||||
\(184\) | −2.37576 | + | 0.771931i | −0.175143 | + | 0.0569075i | ||||
\(185\) | 11.2771 | − | 20.2350i | 0.829109 | − | 1.48771i | ||||
\(186\) | 16.5417 | − | 0.497315i | 1.21290 | − | 0.0364649i | ||||
\(187\) | −3.08236 | − | 1.57054i | −0.225405 | − | 0.114849i | ||||
\(188\) | 11.3229 | + | 5.76930i | 0.825807 | + | 0.420770i | ||||
\(189\) | −0.307840 | + | 0.269172i | −0.0223921 | + | 0.0195794i | ||||
\(190\) | −1.52641 | + | 2.73891i | −0.110738 | + | 0.198701i | ||||
\(191\) | 10.3303 | − | 3.35652i | 0.747475 | − | 0.242869i | 0.0895805 | − | 0.995980i | \(-0.471447\pi\) |
0.657894 | + | 0.753110i | \(0.271447\pi\) | |||||||
\(192\) | −0.322239 | − | 1.70181i | −0.0232556 | − | 0.122818i | ||||
\(193\) | −13.7241 | − | 13.7241i | −0.987880 | − | 0.987880i | 0.0120476 | − | 0.999927i | \(-0.496165\pi\) |
−0.999927 | + | 0.0120476i | \(0.996165\pi\) | |||||||
\(194\) | −8.39833 | + | 6.10174i | −0.602965 | + | 0.438080i | ||||
\(195\) | −0.140958 | + | 19.7375i | −0.0100942 | + | 1.41343i | ||||
\(196\) | 5.65811 | + | 4.11086i | 0.404151 | + | 0.293633i | ||||
\(197\) | −1.91320 | − | 12.0795i | −0.136310 | − | 0.860625i | −0.957176 | − | 0.289506i | \(-0.906509\pi\) |
0.820867 | − | 0.571120i | \(-0.193491\pi\) | |||||||
\(198\) | −1.32050 | + | 3.02886i | −0.0938440 | + | 0.215252i | ||||
\(199\) | 15.9356i | 1.12965i | 0.825212 | + | 0.564823i | \(0.191056\pi\) | ||||
−0.825212 | + | 0.564823i | \(0.808944\pi\) | |||||||
\(200\) | −1.14706 | + | 4.86665i | −0.0811092 | + | 0.344124i | ||||
\(201\) | −10.8571 | + | 3.89211i | −0.765799 | + | 0.274528i | ||||
\(202\) | 6.37296 | + | 12.5076i | 0.448400 | + | 0.880034i | ||||
\(203\) | −0.544573 | + | 0.0862519i | −0.0382215 | + | 0.00605369i | ||||
\(204\) | −5.22217 | − | 1.52489i | −0.365625 | − | 0.106764i | ||||
\(205\) | 2.28359 | + | 8.03322i | 0.159493 | + | 0.561065i | ||||
\(206\) | −7.76123 | − | 10.6824i | −0.540750 | − | 0.744279i | ||||
\(207\) | 7.45886 | + | 0.725556i | 0.518427 | + | 0.0504296i | ||||
\(208\) | 5.03358 | + | 0.797241i | 0.349016 | + | 0.0552787i | ||||
\(209\) | −0.477258 | − | 1.46885i | −0.0330126 | − | 0.101602i | ||||
\(210\) | −0.0455293 | − | 0.301375i | −0.00314182 | − | 0.0207968i | ||||
\(211\) | −3.41758 | + | 10.5182i | −0.235276 | + | 0.724104i | 0.761809 | + | 0.647802i | \(0.224311\pi\) |
−0.997085 | + | 0.0763026i | \(0.975689\pi\) | |||||||
\(212\) | 3.08222 | − | 6.04920i | 0.211688 | − | 0.415461i | ||||
\(213\) | 21.9545 | + | 2.80386i | 1.50430 | + | 0.192117i | ||||
\(214\) | 18.5097 | + | 6.01417i | 1.26530 | + | 0.411120i | ||||
\(215\) | −2.33073 | + | 2.16348i | −0.158954 | + | 0.147548i | ||||
\(216\) | −1.15420 | + | 5.06634i | −0.0785331 | + | 0.344721i | ||||
\(217\) | 0.117628 | − | 0.742674i | 0.00798511 | − | 0.0504160i | ||||
\(218\) | 8.70216 | − | 8.70216i | 0.589385 | − | 0.589385i | ||||
\(219\) | 1.90071 | + | 1.29550i | 0.128438 | + | 0.0875420i | ||||
\(220\) | −1.37250 | − | 2.04490i | −0.0925341 | − | 0.137867i | ||||
\(221\) | 9.40879 | − | 12.9501i | 0.632904 | − | 0.871117i | ||||
\(222\) | 8.62304 | + | 15.7359i | 0.578741 | + | 1.05613i | ||||
\(223\) | 4.89460 | − | 2.49393i | 0.327767 | − | 0.167006i | −0.282362 | − | 0.959308i | \(-0.591118\pi\) |
0.610129 | + | 0.792302i | \(0.291118\pi\) | |||||||
\(224\) | −0.0786976 | −0.00525820 | ||||||||
\(225\) | 8.98920 | − | 12.0081i | 0.599280 | − | 0.800539i | ||||
\(226\) | −7.63411 | −0.507814 | ||||||||
\(227\) | −6.02606 | + | 3.07043i | −0.399964 | + | 0.203792i | −0.642390 | − | 0.766378i | \(-0.722057\pi\) |
0.242426 | + | 0.970170i | \(0.422057\pi\) | |||||||
\(228\) | −1.16717 | − | 2.12994i | −0.0772979 | − | 0.141059i | ||||
\(229\) | −1.78525 | + | 2.45719i | −0.117973 | + | 0.162376i | −0.863919 | − | 0.503630i | \(-0.831997\pi\) |
0.745947 | + | 0.666006i | \(0.231997\pi\) | |||||||
\(230\) | −3.44900 | + | 4.39374i | −0.227420 | + | 0.289715i | ||||
\(231\) | 0.124054 | + | 0.0845543i | 0.00816218 | + | 0.00556326i | ||||
\(232\) | −4.95404 | + | 4.95404i | −0.325249 | + | 0.325249i | ||||
\(233\) | 0.216297 | − | 1.36565i | 0.0141701 | − | 0.0894666i | −0.979590 | − | 0.201007i | \(-0.935579\pi\) |
0.993760 | + | 0.111541i | \(0.0355785\pi\) | |||||||
\(234\) | −12.8866 | − | 8.22734i | −0.842421 | − | 0.537838i | ||||
\(235\) | 28.2120 | − | 3.39843i | 1.84035 | − | 0.221689i | ||||
\(236\) | −6.26761 | − | 2.03647i | −0.407987 | − | 0.132563i | ||||
\(237\) | 17.1099 | + | 2.18514i | 1.11141 | + | 0.141940i | ||||
\(238\) | −0.112219 | + | 0.220242i | −0.00727408 | + | 0.0142762i | ||||
\(239\) | 3.51376 | − | 10.8143i | 0.227287 | − | 0.699516i | −0.770765 | − | 0.637120i | \(-0.780126\pi\) |
0.998051 | − | 0.0623963i | \(-0.0198743\pi\) | |||||||
\(240\) | −2.71899 | − | 2.75810i | −0.175510 | − | 0.178035i | ||||
\(241\) | −2.72661 | − | 8.39163i | −0.175636 | − | 0.540552i | 0.824026 | − | 0.566552i | \(-0.191723\pi\) |
−0.999662 | + | 0.0259998i | \(0.991723\pi\) | |||||||
\(242\) | −9.66643 | − | 1.53101i | −0.621382 | − | 0.0984172i | ||||
\(243\) | 9.24826 | − | 12.5487i | 0.593276 | − | 0.804999i | ||||
\(244\) | −2.34577 | − | 3.22867i | −0.150172 | − | 0.206695i | ||||
\(245\) | 15.6278 | + | 0.581572i | 0.998424 | + | 0.0371553i | ||||
\(246\) | −6.20972 | − | 1.81326i | −0.395917 | − | 0.115609i | ||||
\(247\) | 7.05835 | − | 1.11793i | 0.449112 | − | 0.0711323i | ||||
\(248\) | −4.33774 | − | 8.51329i | −0.275447 | − | 0.540595i | ||||
\(249\) | 1.43828 | − | 0.515604i | 0.0911475 | − | 0.0326751i | ||||
\(250\) | 3.93487 | + | 10.4650i | 0.248863 | + | 0.661866i | ||||
\(251\) | 14.6104i | 0.922197i | 0.887349 | + | 0.461099i | \(0.152545\pi\) | ||||
−0.887349 | + | 0.461099i | \(0.847455\pi\) | |||||||
\(252\) | 0.216419 | + | 0.0943531i | 0.0136331 | + | 0.00594369i | ||||
\(253\) | −0.430401 | − | 2.71745i | −0.0270591 | − | 0.170844i | ||||
\(254\) | −2.60673 | − | 1.89390i | −0.163561 | − | 0.118834i | ||||
\(255\) | −11.5959 | + | 3.67640i | −0.726165 | + | 0.230225i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 1.57229 | + | 1.57229i | 0.0980767 | + | 0.0980767i | 0.754443 | − | 0.656366i | \(-0.227907\pi\) |
−0.656366 | + | 0.754443i | \(0.727907\pi\) | |||||||
\(258\) | −0.458280 | − | 2.42028i | −0.0285313 | − | 0.150680i | ||||
\(259\) | 0.775389 | − | 0.251939i | 0.0481803 | − | 0.0156547i | ||||
\(260\) | 10.3390 | − | 4.79238i | 0.641200 | − | 0.297211i | ||||
\(261\) | 19.5632 | − | 7.68411i | 1.21093 | − | 0.475634i | ||||
\(262\) | −4.73859 | − | 2.41443i | −0.292751 | − | 0.149164i | ||||
\(263\) | −17.2650 | − | 8.79695i | −1.06460 | − | 0.542443i | −0.168233 | − | 0.985747i | \(-0.553806\pi\) |
−0.896371 | + | 0.443304i | \(0.853806\pi\) | |||||||
\(264\) | 1.90682 | − | 0.0573270i | 0.117356 | − | 0.00352823i | ||||
\(265\) | −1.81559 | − | 15.0721i | −0.111531 | − | 0.925872i | ||||
\(266\) | −0.104953 | + | 0.0341012i | −0.00643507 | + | 0.00209088i | ||||
\(267\) | −5.58021 | + | 1.05661i | −0.341503 | + | 0.0646638i | ||||
\(268\) | 4.70859 | + | 4.70859i | 0.287623 | + | 0.287623i | ||||
\(269\) | −4.44596 | + | 3.23018i | −0.271075 | + | 0.196948i | −0.715015 | − | 0.699109i | \(-0.753580\pi\) |
0.443940 | + | 0.896056i | \(0.353580\pi\) | |||||||
\(270\) | 4.17046 | + | 10.8447i | 0.253806 | + | 0.659987i | ||||
\(271\) | 6.02194 | + | 4.37520i | 0.365807 | + | 0.265774i | 0.755470 | − | 0.655183i | \(-0.227409\pi\) |
−0.389663 | + | 0.920957i | \(0.627409\pi\) | |||||||
\(272\) | 0.491350 | + | 3.10226i | 0.0297924 | + | 0.188102i | ||||
\(273\) | −0.476224 | + | 0.505746i | −0.0288224 | + | 0.0306091i | ||||
\(274\) | − | 11.4859i | − | 0.693891i | ||||||
\(275\) | −5.09649 | − | 2.08632i | −0.307330 | − | 0.125810i | ||||
\(276\) | −1.46008 | − | 4.07290i | −0.0878863 | − | 0.245160i | ||||
\(277\) | −8.66928 | − | 17.0144i | −0.520886 | − | 1.02230i | −0.990251 | − | 0.139293i | \(-0.955517\pi\) |
0.469365 | − | 0.883004i | \(-0.344483\pi\) | |||||||
\(278\) | 10.7678 | − | 1.70545i | 0.645810 | − | 0.102286i | ||||
\(279\) | 1.72197 | + | 28.6123i | 0.103092 | + | 1.71297i | ||||
\(280\) | −0.146113 | + | 0.0980686i | −0.00873194 | + | 0.00586072i | ||||
\(281\) | −0.827936 | − | 1.13956i | −0.0493905 | − | 0.0679802i | 0.783607 | − | 0.621256i | \(-0.213377\pi\) |
−0.832998 | + | 0.553276i | \(0.813377\pi\) | |||||||
\(282\) | −9.39887 | + | 19.9033i | −0.559694 | + | 1.18522i | ||||
\(283\) | 9.41786 | + | 1.49164i | 0.559834 | + | 0.0886689i | 0.429937 | − | 0.902859i | \(-0.358536\pi\) |
0.129896 | + | 0.991528i | \(0.458536\pi\) | |||||||
\(284\) | −3.94874 | − | 12.1530i | −0.234315 | − | 0.721147i | ||||
\(285\) | −4.82124 | − | 2.50007i | −0.285585 | − | 0.148091i | ||||
\(286\) | −1.73454 | + | 5.33836i | −0.102565 | + | 0.315664i | ||||
\(287\) | −0.133440 | + | 0.261892i | −0.00787674 | + | 0.0154590i | ||||
\(288\) | 2.92952 | − | 0.646460i | 0.172624 | − | 0.0380930i | ||||
\(289\) | −6.78537 | − | 2.20470i | −0.399139 | − | 0.129688i | ||||
\(290\) | −3.02443 | + | 15.3713i | −0.177601 | + | 0.902636i | ||||
\(291\) | −11.0009 | − | 14.2222i | −0.644883 | − | 0.833718i | ||||
\(292\) | 0.207750 | − | 1.31168i | 0.0121577 | − | 0.0767604i | ||||
\(293\) | −22.0266 | + | 22.0266i | −1.28681 | + | 1.28681i | −0.350091 | + | 0.936716i | \(0.613849\pi\) |
−0.936716 | + | 0.350091i | \(0.886151\pi\) | |||||||
\(294\) | −6.82250 | + | 10.0097i | −0.397896 | + | 0.583776i | ||||
\(295\) | −14.1745 | + | 4.02935i | −0.825269 | + | 0.234598i | ||||
\(296\) | 6.08934 | − | 8.38126i | 0.353936 | − | 0.487151i | ||||
\(297\) | −5.31250 | − | 2.12849i | −0.308262 | − | 0.123508i | ||||
\(298\) | −12.8019 | + | 6.52291i | −0.741596 | + | 0.377862i | ||||
\(299\) | 12.7307 | 0.736237 | ||||||||
\(300\) | −8.48518 | − | 1.73256i | −0.489892 | − | 0.100029i | ||||
\(301\) | −0.111922 | −0.00645107 | ||||||||
\(302\) | −0.290856 | + | 0.148198i | −0.0167369 | + | 0.00852785i | ||||
\(303\) | −21.3224 | + | 11.6843i | −1.22494 | + | 0.671247i | ||||
\(304\) | −0.824223 | + | 1.13445i | −0.0472724 | + | 0.0650649i | ||||
\(305\) | −8.37864 | − | 3.07133i | −0.479760 | − | 0.175864i | ||||
\(306\) | 2.36818 | − | 9.12034i | 0.135380 | − | 0.521375i | ||||
\(307\) | 1.56450 | − | 1.56450i | 0.0892910 | − | 0.0892910i | −0.661050 | − | 0.750341i | \(-0.729889\pi\) |
0.750341 | + | 0.661050i | \(0.229889\pi\) | |||||||
\(308\) | 0.0135593 | − | 0.0856103i | 0.000772615 | − | 0.00487810i | ||||
\(309\) | 18.0902 | − | 13.9928i | 1.02911 | − | 0.796022i | ||||
\(310\) | −18.6624 | − | 10.4007i | −1.05995 | − | 0.590720i | ||||
\(311\) | −12.9644 | − | 4.21240i | −0.735145 | − | 0.238863i | −0.0825681 | − | 0.996585i | \(-0.526312\pi\) |
−0.652577 | + | 0.757722i | \(0.726312\pi\) | |||||||
\(312\) | −1.11824 | + | 8.75597i | −0.0633081 | + | 0.495709i | ||||
\(313\) | −8.67043 | + | 17.0167i | −0.490082 | + | 0.961839i | 0.505032 | + | 0.863101i | \(0.331481\pi\) |
−0.995113 | + | 0.0987386i | \(0.968519\pi\) | |||||||
\(314\) | −1.51888 | + | 4.67462i | −0.0857152 | + | 0.263804i | ||||
\(315\) | 0.519391 | − | 0.0945097i | 0.0292644 | − | 0.00532502i | ||||
\(316\) | −3.07739 | − | 9.47123i | −0.173117 | − | 0.532798i | ||||
\(317\) | −8.97408 | − | 1.42135i | −0.504034 | − | 0.0798312i | −0.100761 | − | 0.994911i | \(-0.532128\pi\) |
−0.403274 | + | 0.915079i | \(0.632128\pi\) | |||||||
\(318\) | 10.6332 | + | 5.02130i | 0.596281 | + | 0.281580i | ||||
\(319\) | −4.53563 | − | 6.24276i | −0.253947 | − | 0.349528i | ||||
\(320\) | −0.769590 | + | 2.09946i | −0.0430214 | + | 0.117363i | ||||
\(321\) | −9.44872 | + | 32.3583i | −0.527376 | + | 1.80606i | ||||
\(322\) | −0.194168 | + | 0.0307532i | −0.0108206 | + | 0.00171381i | ||||
\(323\) | 1.99954 | + | 3.92433i | 0.111258 | + | 0.218355i | ||||
\(324\) | −8.83128 | − | 1.73453i | −0.490626 | − | 0.0963625i | ||||
\(325\) | 13.2239 | − | 21.7817i | 0.733530 | − | 1.20823i | ||||
\(326\) | 1.53299i | 0.0849043i | ||||||||
\(327\) | 15.5187 | + | 14.6128i | 0.858187 | + | 0.808092i | ||||
\(328\) | 0.584268 | + | 3.68892i | 0.0322608 | + | 0.203687i | ||||
\(329\) | 0.809088 | + | 0.587837i | 0.0446065 | + | 0.0324085i | ||||
\(330\) | 3.46884 | − | 2.48261i | 0.190953 | − | 0.136663i | ||||
\(331\) | 8.94485 | − | 6.49882i | 0.491654 | − | 0.357207i | −0.314166 | − | 0.949368i | \(-0.601725\pi\) |
0.805820 | + | 0.592161i | \(0.201725\pi\) | |||||||
\(332\) | −0.623767 | − | 0.623767i | −0.0342336 | − | 0.0342336i | ||||
\(333\) | −26.7943 | + | 15.7478i | −1.46832 | + | 0.862977i | ||||
\(334\) | −21.2873 | + | 6.91666i | −1.16479 | + | 0.378463i | ||||
\(335\) | 14.6097 | + | 2.87458i | 0.798215 | + | 0.157055i | ||||
\(336\) | −0.00409615 | − | 0.136247i | −0.000223464 | − | 0.00743287i | ||||
\(337\) | 15.4169 | + | 7.85531i | 0.839813 | + | 0.427906i | 0.820321 | − | 0.571904i | \(-0.193795\pi\) |
0.0194923 | + | 0.999810i | \(0.493795\pi\) | |||||||
\(338\) | −11.5586 | − | 5.88940i | −0.628705 | − | 0.320341i | ||||
\(339\) | −0.397350 | − | 13.2167i | −0.0215811 | − | 0.717833i | ||||
\(340\) | 4.77812 | + | 5.14750i | 0.259130 | + | 0.279162i | ||||
\(341\) | 10.0085 | − | 3.25195i | 0.541989 | − | 0.176103i | ||||
\(342\) | 3.62675 | − | 2.13155i | 0.196112 | − | 0.115261i | ||||
\(343\) | 0.778722 | + | 0.778722i | 0.0420470 | + | 0.0420470i | ||||
\(344\) | −1.15057 | + | 0.835934i | −0.0620343 | + | 0.0450706i | ||||
\(345\) | −7.78627 | − | 5.74246i | −0.419198 | − | 0.309163i | ||||
\(346\) | 11.4671 | + | 8.33133i | 0.616475 | + | 0.447895i | ||||
\(347\) | 2.33923 | + | 14.7693i | 0.125576 | + | 0.792857i | 0.967428 | + | 0.253148i | \(0.0814658\pi\) |
−0.841851 | + | 0.539709i | \(0.818534\pi\) | |||||||
\(348\) | −8.83463 | − | 8.31892i | −0.473586 | − | 0.445941i | ||||
\(349\) | 0.345103i | 0.0184729i | 0.999957 | + | 0.00923647i | \(0.00294010\pi\) | ||||
−0.999957 | + | 0.00923647i | \(0.997060\pi\) | |||||||
\(350\) | −0.149073 | + | 0.364157i | −0.00796827 | + | 0.0194650i | ||||
\(351\) | 13.5730 | − | 22.7383i | 0.724473 | − | 1.21368i | ||||
\(352\) | −0.500025 | − | 0.981353i | −0.0266514 | − | 0.0523063i | ||||
\(353\) | −19.7879 | + | 3.13409i | −1.05320 | + | 0.166811i | −0.658947 | − | 0.752190i | \(-0.728998\pi\) |
−0.394256 | + | 0.919001i | \(0.628998\pi\) | |||||||
\(354\) | 3.19945 | − | 10.9569i | 0.170049 | − | 0.582354i | ||||
\(355\) | −22.4758 | − | 17.6431i | −1.19289 | − | 0.936396i | ||||
\(356\) | 1.92734 | + | 2.65275i | 0.102149 | + | 0.140596i | ||||
\(357\) | −0.387139 | − | 0.182818i | −0.0204896 | − | 0.00967574i | ||||
\(358\) | 15.0037 | + | 2.37636i | 0.792971 | + | 0.125594i | ||||
\(359\) | 5.66877 | + | 17.4467i | 0.299186 | + | 0.920800i | 0.981783 | + | 0.190005i | \(0.0608505\pi\) |
−0.682597 | + | 0.730795i | \(0.739150\pi\) | |||||||
\(360\) | 4.63349 | − | 4.85085i | 0.244206 | − | 0.255662i | ||||
\(361\) | 5.26370 | − | 16.2000i | 0.277037 | − | 0.852632i | ||||
\(362\) | −4.66289 | + | 9.15143i | −0.245076 | + | 0.480989i | ||||
\(363\) | 2.14746 | − | 16.8149i | 0.112713 | − | 0.882552i | ||||
\(364\) | 0.381439 | + | 0.123937i | 0.0199928 | + | 0.00649606i | ||||
\(365\) | −1.24883 | − | 2.69421i | −0.0653667 | − | 0.141022i | ||||
\(366\) | 5.46760 | − | 4.22920i | 0.285796 | − | 0.221064i | ||||
\(367\) | 0.00304877 | − | 0.0192492i | 0.000159144 | − | 0.00100480i | −0.987609 | − | 0.156937i | \(-0.949838\pi\) |
0.987768 | + | 0.155932i | \(0.0498381\pi\) | |||||||
\(368\) | −1.76637 | + | 1.76637i | −0.0920783 | + | 0.0920783i | ||||
\(369\) | 2.81602 | − | 10.8451i | 0.146596 | − | 0.564572i | ||||
\(370\) | 0.861472 | − | 23.1492i | 0.0447858 | − | 1.20347i | ||||
\(371\) | 0.314049 | − | 0.432251i | 0.0163046 | − | 0.0224414i | ||||
\(372\) | 14.5130 | − | 7.95290i | 0.752465 | − | 0.412339i | ||||
\(373\) | −6.23329 | + | 3.17602i | −0.322748 | + | 0.164448i | −0.607856 | − | 0.794047i | \(-0.707970\pi\) |
0.285109 | + | 0.958495i | \(0.407970\pi\) | |||||||
\(374\) | −3.45942 | −0.178882 | ||||||||
\(375\) | −17.9130 | + | 7.35701i | −0.925022 | + | 0.379915i | ||||
\(376\) | 12.7080 | 0.655364 | ||||||||
\(377\) | 31.8136 | − | 16.2098i | 1.63848 | − | 0.834848i | ||||
\(378\) | −0.152086 | + | 0.379591i | −0.00782246 | + | 0.0195241i | ||||
\(379\) | −7.15293 | + | 9.84516i | −0.367421 | + | 0.505712i | −0.952198 | − | 0.305483i | \(-0.901182\pi\) |
0.584776 | + | 0.811194i | \(0.301182\pi\) | |||||||
\(380\) | −0.116605 | + | 3.13336i | −0.00598169 | + | 0.160738i | ||||
\(381\) | 3.14317 | − | 4.61152i | 0.161030 | − | 0.236256i | ||||
\(382\) | 7.68054 | − | 7.68054i | 0.392971 | − | 0.392971i | ||||
\(383\) | 0.148258 | − | 0.936062i | 0.00757561 | − | 0.0478305i | −0.983611 | − | 0.180304i | \(-0.942292\pi\) |
0.991187 | + | 0.132473i | \(0.0422919\pi\) | |||||||
\(384\) | −1.05972 | − | 1.37003i | −0.0540788 | − | 0.0699141i | ||||
\(385\) | −0.0815080 | − | 0.175845i | −0.00415403 | − | 0.00896187i | ||||
\(386\) | −18.4588 | − | 5.99764i | −0.939530 | − | 0.305272i | ||||
\(387\) | 4.16630 | − | 0.919380i | 0.211785 | − | 0.0467347i | ||||
\(388\) | −4.71283 | + | 9.24945i | −0.239258 | + | 0.469570i | ||||
\(389\) | 6.14102 | − | 18.9001i | 0.311362 | − | 0.958273i | −0.665864 | − | 0.746073i | \(-0.731937\pi\) |
0.977226 | − | 0.212200i | \(-0.0680630\pi\) | |||||||
\(390\) | 8.83503 | + | 17.6502i | 0.447379 | + | 0.893753i | ||||
\(391\) | 2.42458 | + | 7.46210i | 0.122616 | + | 0.377374i | ||||
\(392\) | 6.90770 | + | 1.09407i | 0.348892 | + | 0.0552590i | ||||
\(393\) | 3.93339 | − | 8.32944i | 0.198413 | − | 0.420164i | ||||
\(394\) | −7.18863 | − | 9.89430i | −0.362158 | − | 0.498468i | ||||
\(395\) | −17.5161 | − | 13.7498i | −0.881333 | − | 0.691829i | ||||
\(396\) | 0.198497 | + | 3.29823i | 0.00997485 | + | 0.165742i | ||||
\(397\) | 26.6394 | − | 4.21926i | 1.33699 | − | 0.211759i | 0.553338 | − | 0.832957i | \(-0.313354\pi\) |
0.783654 | + | 0.621198i | \(0.213354\pi\) | |||||||
\(398\) | 7.23462 | + | 14.1987i | 0.362639 | + | 0.711719i | ||||
\(399\) | −0.0645011 | − | 0.179927i | −0.00322909 | − | 0.00900759i | ||||
\(400\) | 1.18738 | + | 4.85697i | 0.0593688 | + | 0.242848i | ||||
\(401\) | 33.9394i | 1.69485i | 0.530912 | + | 0.847427i | \(0.321849\pi\) | ||||
−0.530912 | + | 0.847427i | \(0.678151\pi\) | |||||||
\(402\) | −7.90675 | + | 8.39690i | −0.394353 | + | 0.418800i | ||||
\(403\) | 7.61739 | + | 48.0943i | 0.379449 | + | 2.39575i | ||||
\(404\) | 11.3567 | + | 8.25112i | 0.565017 | + | 0.410509i | ||||
\(405\) | −18.5580 | + | 7.78465i | −0.922154 | + | 0.386822i | ||||
\(406\) | −0.446060 | + | 0.324082i | −0.0221376 | + | 0.0160839i | ||||
\(407\) | 8.06828 | + | 8.06828i | 0.399930 | + | 0.399930i | ||||
\(408\) | −5.34527 | + | 1.01213i | −0.264630 | + | 0.0501078i | ||||
\(409\) | −15.1218 | + | 4.91338i | −0.747726 | + | 0.242951i | −0.658002 | − | 0.753016i | \(-0.728598\pi\) |
−0.0897236 | + | 0.995967i | \(0.528598\pi\) | |||||||
\(410\) | 5.68170 | + | 6.12093i | 0.280599 | + | 0.302291i | ||||
\(411\) | 19.8853 | − | 0.597835i | 0.980867 | − | 0.0294890i | ||||
\(412\) | −11.7650 | − | 5.99458i | −0.579621 | − | 0.295332i | ||||
\(413\) | −0.462102 | − | 0.235453i | −0.0227386 | − | 0.0115859i | ||||
\(414\) | 6.97529 | − | 2.73978i | 0.342817 | − | 0.134653i | ||||
\(415\) | −1.93542 | − | 0.380809i | −0.0950058 | − | 0.0186932i | ||||
\(416\) | 4.84689 | − | 1.57485i | 0.237638 | − | 0.0772134i | ||||
\(417\) | 3.51305 | + | 18.5532i | 0.172035 | + | 0.908554i | ||||
\(418\) | −1.09208 | − | 1.09208i | −0.0534155 | − | 0.0534155i | ||||
\(419\) | 22.2455 | − | 16.1623i | 1.08677 | − | 0.789582i | 0.107916 | − | 0.994160i | \(-0.465582\pi\) |
0.978850 | + | 0.204578i | \(0.0655823\pi\) | |||||||
\(420\) | −0.177388 | − | 0.247857i | −0.00865566 | − | 0.0120942i | ||||
\(421\) | 25.8507 | + | 18.7816i | 1.25988 | + | 0.915359i | 0.998752 | − | 0.0499438i | \(-0.0159042\pi\) |
0.261132 | + | 0.965303i | \(0.415904\pi\) | |||||||
\(422\) | 1.73009 | + | 10.9234i | 0.0842194 | + | 0.531741i | ||||
\(423\) | −34.9471 | − | 15.2360i | −1.69919 | − | 0.740800i | ||||
\(424\) | − | 6.78917i | − | 0.329711i | ||||||
\(425\) | 15.2858 | + | 3.60283i | 0.741470 | + | 0.174763i | ||||
\(426\) | 20.8346 | − | 7.46889i | 1.00944 | − | 0.361869i | ||||
\(427\) | −0.142585 | − | 0.279839i | −0.00690018 | − | 0.0135424i | ||||
\(428\) | 19.2226 | − | 3.04457i | 0.929162 | − | 0.147165i | ||||
\(429\) | −9.33242 | − | 2.72509i | −0.450573 | − | 0.131569i | ||||
\(430\) | −1.09449 | + | 2.98580i | −0.0527812 | + | 0.143988i | ||||
\(431\) | 5.09101 | + | 7.00718i | 0.245225 | + | 0.337524i | 0.913832 | − | 0.406093i | \(-0.133109\pi\) |
−0.668607 | + | 0.743616i | \(0.733109\pi\) | |||||||
\(432\) | 1.27167 | + | 5.03814i | 0.0611835 | + | 0.242398i | ||||
\(433\) | 10.6490 | + | 1.68664i | 0.511760 | + | 0.0810548i | 0.406974 | − | 0.913440i | \(-0.366584\pi\) |
0.104786 | + | 0.994495i | \(0.466584\pi\) | |||||||
\(434\) | −0.232360 | − | 0.715129i | −0.0111536 | − | 0.0343273i | ||||
\(435\) | −26.7693 | − | 4.43604i | −1.28349 | − | 0.212692i | ||||
\(436\) | 3.80299 | − | 11.7044i | 0.182130 | − | 0.560538i | ||||
\(437\) | −1.59026 | + | 3.12107i | −0.0760726 | + | 0.149301i | ||||
\(438\) | 2.28169 | + | 0.291399i | 0.109023 | + | 0.0139236i | ||||
\(439\) | −32.6251 | − | 10.6006i | −1.55711 | − | 0.505937i | −0.601078 | − | 0.799190i | \(-0.705262\pi\) |
−0.956035 | + | 0.293253i | \(0.905262\pi\) | |||||||
\(440\) | −2.15128 | − | 1.19892i | −0.102558 | − | 0.0571563i | ||||
\(441\) | −17.6845 | − | 11.2906i | −0.842121 | − | 0.537646i | ||||
\(442\) | 2.50408 | − | 15.8101i | 0.119107 | − | 0.752011i | ||||
\(443\) | 4.58214 | − | 4.58214i | 0.217704 | − | 0.217704i | −0.589826 | − | 0.807530i | \(-0.700804\pi\) |
0.807530 | + | 0.589826i | \(0.200804\pi\) | |||||||
\(444\) | 14.8272 | + | 10.1060i | 0.703666 | + | 0.479612i | ||||
\(445\) | 6.88409 | + | 2.52347i | 0.326337 | + | 0.119624i | ||||
\(446\) | 3.22891 | − | 4.44421i | 0.152893 | − | 0.210439i | ||||
\(447\) | −11.9592 | − | 21.8241i | −0.565653 | − | 1.03224i | ||||
\(448\) | −0.0701201 | + | 0.0357280i | −0.00331286 | + | 0.00168799i | ||||
\(449\) | −22.7460 | −1.07345 | −0.536726 | − | 0.843756i | \(-0.680339\pi\) | ||||
−0.536726 | + | 0.843756i | \(0.680339\pi\) | |||||||
\(450\) | 2.55788 | − | 14.7803i | 0.120580 | − | 0.696750i | ||||
\(451\) | −4.11362 | −0.193703 | ||||||||
\(452\) | −6.80204 | + | 3.46581i | −0.319941 | + | 0.163018i | ||||
\(453\) | −0.271710 | − | 0.495835i | −0.0127660 | − | 0.0232964i | ||||
\(454\) | −3.97531 | + | 5.47155i | −0.186571 | + | 0.256792i | ||||
\(455\) | 0.862639 | − | 0.245221i | 0.0404411 | − | 0.0114961i | ||||
\(456\) | −2.00693 | − | 1.36790i | −0.0939831 | − | 0.0640580i | ||||
\(457\) | −6.28077 | + | 6.28077i | −0.293802 | + | 0.293802i | −0.838580 | − | 0.544778i | \(-0.816614\pi\) |
0.544778 | + | 0.838580i | \(0.316614\pi\) | |||||||
\(458\) | −0.475131 | + | 2.99986i | −0.0222014 | + | 0.140174i | ||||
\(459\) | 15.9130 | + | 3.62525i | 0.742756 | + | 0.169212i | ||||
\(460\) | −1.07837 | + | 5.48067i | −0.0502790 | + | 0.255537i | ||||
\(461\) | 21.3397 | + | 6.93369i | 0.993889 | + | 0.322934i | 0.760421 | − | 0.649430i | \(-0.224993\pi\) |
0.233468 | + | 0.972364i | \(0.424993\pi\) | |||||||
\(462\) | 0.148920 | + | 0.0190189i | 0.00692839 | + | 0.000884839i | ||||
\(463\) | 10.9916 | − | 21.5722i | 0.510823 | − | 1.00255i | −0.481214 | − | 0.876603i | \(-0.659804\pi\) |
0.992037 | − | 0.125944i | \(-0.0401959\pi\) | |||||||
\(464\) | −2.16499 | + | 6.66317i | −0.100507 | + | 0.309330i | ||||
\(465\) | 17.0350 | − | 32.8510i | 0.789981 | − | 1.52343i | ||||
\(466\) | −0.427269 | − | 1.31500i | −0.0197929 | − | 0.0609161i | ||||
\(467\) | 13.3049 | + | 2.10730i | 0.615679 | + | 0.0975140i | 0.456482 | − | 0.889733i | \(-0.349109\pi\) |
0.159197 | + | 0.987247i | \(0.449109\pi\) | |||||||
\(468\) | −15.2171 | − | 1.48024i | −0.703413 | − | 0.0684240i | ||||
\(469\) | 0.308025 | + | 0.423960i | 0.0142233 | + | 0.0195766i | ||||
\(470\) | 23.5942 | − | 15.8360i | 1.08832 | − | 0.730460i | ||||
\(471\) | −8.17208 | − | 2.38627i | −0.376550 | − | 0.109954i | ||||
\(472\) | −6.50902 | + | 1.03093i | −0.299602 | + | 0.0474523i | ||||
\(473\) | −0.711123 | − | 1.39566i | −0.0326975 | − | 0.0641724i | ||||
\(474\) | 16.2371 | − | 5.82076i | 0.745793 | − | 0.267356i | ||||
\(475\) | 3.68813 | + | 5.96284i | 0.169223 | + | 0.273594i | ||||
\(476\) | 0.247184i | 0.0113296i | ||||||||
\(477\) | −8.13976 | + | 18.6703i | −0.372694 | + | 0.854855i | ||||
\(478\) | −1.77878 | − | 11.2308i | −0.0813596 | − | 0.513684i | ||||
\(479\) | −13.9808 | − | 10.1576i | −0.638797 | − | 0.464113i | 0.220639 | − | 0.975355i | \(-0.429186\pi\) |
−0.859437 | + | 0.511242i | \(0.829186\pi\) | |||||||
\(480\) | −3.67479 | − | 1.22309i | −0.167730 | − | 0.0558263i | ||||
\(481\) | −42.7136 | + | 31.0332i | −1.94757 | + | 1.41499i | ||||
\(482\) | −6.23914 | − | 6.23914i | −0.284185 | − | 0.284185i | ||||
\(483\) | −0.0633484 | − | 0.334556i | −0.00288245 | − | 0.0152228i | ||||
\(484\) | −9.30791 | + | 3.02432i | −0.423087 | + | 0.137469i | ||||
\(485\) | 2.77611 | + | 23.0458i | 0.126057 | + | 1.04646i | ||||
\(486\) | 2.54327 | − | 15.3796i | 0.115365 | − | 0.697632i | ||||
\(487\) | 3.22789 | + | 1.64469i | 0.146270 | + | 0.0745281i | 0.525593 | − | 0.850736i | \(-0.323843\pi\) |
−0.379324 | + | 0.925264i | \(0.623843\pi\) | |||||||
\(488\) | −3.55588 | − | 1.81181i | −0.160967 | − | 0.0820169i | ||||
\(489\) | −2.65401 | + | 0.0797909i | −0.120019 | + | 0.00360827i | ||||
\(490\) | 14.1885 | − | 6.57669i | 0.640971 | − | 0.297105i | ||||
\(491\) | 5.48953 | − | 1.78366i | 0.247739 | − | 0.0804953i | −0.182515 | − | 0.983203i | \(-0.558424\pi\) |
0.430254 | + | 0.902708i | \(0.358424\pi\) | |||||||
\(492\) | −6.35610 | + | 1.20353i | −0.286555 | + | 0.0542593i | ||||
\(493\) | 15.5603 | + | 15.5603i | 0.700800 | + | 0.700800i | ||||
\(494\) | 5.78150 | − | 4.20051i | 0.260122 | − | 0.188990i | ||||
\(495\) | 4.47861 | + | 5.87628i | 0.201298 | + | 0.264119i | ||||
\(496\) | −7.72991 | − | 5.61611i | −0.347083 | − | 0.252171i | ||||
\(497\) | −0.157315 | − | 0.993249i | −0.00705655 | − | 0.0445533i | ||||
\(498\) | 1.04744 | − | 1.11237i | 0.0469370 | − | 0.0498467i | ||||
\(499\) | 28.5582i | 1.27844i | 0.769024 | + | 0.639220i | \(0.220743\pi\) | ||||
−0.769024 | + | 0.639220i | \(0.779257\pi\) | |||||||
\(500\) | 8.25702 | + | 7.53801i | 0.369265 | + | 0.337110i | ||||
\(501\) | −13.0826 | − | 36.4940i | −0.584486 | − | 1.63043i | ||||
\(502\) | 6.63296 | + | 13.0179i | 0.296044 | + | 0.581018i | ||||
\(503\) | 23.7938 | − | 3.76856i | 1.06091 | − | 0.168032i | 0.398497 | − | 0.917170i | \(-0.369532\pi\) |
0.662414 | + | 0.749138i | \(0.269532\pi\) | |||||||
\(504\) | 0.235666 | − | 0.0141831i | 0.0104974 | − | 0.000631765i | ||||
\(505\) | 31.3674 | + | 1.16730i | 1.39583 | + | 0.0519444i | ||||
\(506\) | −1.61718 | − | 2.22586i | −0.0718926 | − | 0.0989517i | ||||
\(507\) | 9.59451 | − | 20.3176i | 0.426107 | − | 0.902335i | ||||
\(508\) | −3.18243 | − | 0.504047i | −0.141197 | − | 0.0223635i | ||||
\(509\) | 1.35722 | + | 4.17708i | 0.0601576 | + | 0.185146i | 0.976619 | − | 0.214977i | \(-0.0689675\pi\) |
−0.916462 | + | 0.400123i | \(0.868968\pi\) | |||||||
\(510\) | −8.66300 | + | 8.54014i | −0.383604 | + | 0.378164i | ||||
\(511\) | 0.0322963 | − | 0.0993978i | 0.00142870 | − | 0.00439710i | ||||
\(512\) | −0.453990 | + | 0.891007i | −0.0200637 | + | 0.0393773i | ||||
\(513\) | 3.87906 | + | 6.16793i | 0.171265 | + | 0.272321i | ||||
\(514\) | 2.11472 | + | 0.687116i | 0.0932765 | + | 0.0303074i | ||||
\(515\) | −29.3136 | + | 3.53113i | −1.29171 | + | 0.155600i | ||||
\(516\) | −1.50711 | − | 1.94843i | −0.0663470 | − | 0.0857747i | ||||
\(517\) | −2.18954 | + | 13.8242i | −0.0962960 | + | 0.607989i | ||||
\(518\) | 0.576498 | − | 0.576498i | 0.0253299 | − | 0.0253299i | ||||
\(519\) | −13.8269 | + | 20.2863i | −0.606934 | + | 0.890468i | ||||
\(520\) | 7.03646 | − | 8.96386i | 0.308569 | − | 0.393091i | ||||
\(521\) | −3.85216 | + | 5.30205i | −0.168766 | + | 0.232287i | −0.885020 | − | 0.465553i | \(-0.845855\pi\) |
0.716254 | + | 0.697840i | \(0.245855\pi\) | |||||||
\(522\) | 13.9424 | − | 15.7281i | 0.610244 | − | 0.688401i | ||||
\(523\) | 7.96973 | − | 4.06078i | 0.348492 | − | 0.177566i | −0.270979 | − | 0.962585i | \(-0.587347\pi\) |
0.619471 | + | 0.785020i | \(0.287347\pi\) | |||||||
\(524\) | −5.31824 | −0.232328 | ||||||||
\(525\) | −0.638212 | − | 0.239131i | −0.0278539 | − | 0.0104365i | ||||
\(526\) | −19.3769 | −0.844875 | ||||||||
\(527\) | −26.7397 | + | 13.6245i | −1.16480 | + | 0.593494i | ||||
\(528\) | 1.67296 | − | 0.916756i | 0.0728063 | − | 0.0398967i | ||||
\(529\) | 9.85121 | − | 13.5590i | 0.428314 | − | 0.589523i | ||||
\(530\) | −8.46029 | − | 12.6051i | −0.367492 | − | 0.547529i | ||||
\(531\) | 19.1359 | + | 4.96881i | 0.830427 | + | 0.215628i | ||||
\(532\) | −0.0780320 | + | 0.0780320i | −0.00338312 | + | 0.00338312i | ||||
\(533\) | 2.97762 | − | 18.7999i | 0.128975 | − | 0.814315i | ||||
\(534\) | −4.49231 | + | 3.47481i | −0.194401 | + | 0.150370i | ||||
\(535\) | 31.8956 | − | 29.6069i | 1.37897 | − | 1.28002i | ||||
\(536\) | 6.33303 | + | 2.05773i | 0.273545 | + | 0.0888803i | ||||
\(537\) | −3.33318 | + | 26.0992i | −0.143837 | + | 1.12626i | ||||
\(538\) | −2.49491 | + | 4.89653i | −0.107563 | + | 0.211105i | ||||
\(539\) | −2.38035 | + | 7.32596i | −0.102529 | + | 0.315551i | ||||
\(540\) | 8.63930 | + | 7.76934i | 0.371776 | + | 0.334339i | ||||
\(541\) | 4.98127 | + | 15.3308i | 0.214161 | + | 0.659121i | 0.999212 | + | 0.0396896i | \(0.0126369\pi\) |
−0.785051 | + | 0.619432i | \(0.787363\pi\) | |||||||
\(542\) | 7.35189 | + | 1.16442i | 0.315791 | + | 0.0500163i | ||||
\(543\) | −16.0863 | − | 7.59639i | −0.690329 | − | 0.325992i | ||||
\(544\) | 1.84619 | + | 2.54107i | 0.0791548 | + | 0.108947i | ||||
\(545\) | −7.52457 | − | 26.4699i | −0.322317 | − | 1.13385i | ||||
\(546\) | −0.194715 | + | 0.666824i | −0.00833301 | + | 0.0285374i | ||||
\(547\) | −23.3625 | + | 3.70025i | −0.998907 | + | 0.158211i | −0.634413 | − | 0.772994i | \(-0.718758\pi\) |
−0.364494 | + | 0.931206i | \(0.618758\pi\) | |||||||
\(548\) | −5.21451 | − | 10.2341i | −0.222753 | − | 0.437177i | ||||
\(549\) | 7.60647 | + | 9.24576i | 0.324636 | + | 0.394599i | ||||
\(550\) | −5.48818 | + | 0.454833i | −0.234017 | + | 0.0193942i | ||||
\(551\) | 9.82428i | 0.418528i | ||||||||
\(552\) | −3.15000 | − | 2.96612i | −0.134073 | − | 0.126246i | ||||
\(553\) | −0.122601 | − | 0.774072i | −0.00521353 | − | 0.0329169i | ||||
\(554\) | −15.4488 | − | 11.2242i | −0.656355 | − | 0.476870i | ||||
\(555\) | 40.1223 | + | 0.286540i | 1.70310 | + | 0.0121629i | ||||
\(556\) | 8.81992 | − | 6.40805i | 0.374048 | − | 0.271762i | ||||
\(557\) | −27.5142 | − | 27.5142i | −1.16581 | − | 1.16581i | −0.983181 | − | 0.182634i | \(-0.941538\pi\) |
−0.182634 | − | 0.983181i | \(-0.558462\pi\) | |||||||
\(558\) | 14.5240 | + | 24.7120i | 0.614850 | + | 1.04614i | ||||
\(559\) | 6.89314 | − | 2.23972i | 0.291549 | − | 0.0947299i | ||||
\(560\) | −0.0856657 | + | 0.153714i | −0.00362004 | + | 0.00649560i | ||||
\(561\) | −0.180060 | − | 5.98918i | −0.00760215 | − | 0.252863i | ||||
\(562\) | −1.25504 | − | 0.639477i | −0.0529408 | − | 0.0269747i | ||||
\(563\) | 22.1789 | + | 11.3007i | 0.934728 | + | 0.476267i | 0.853886 | − | 0.520460i | \(-0.174239\pi\) |
0.0808412 | + | 0.996727i | \(0.474239\pi\) | |||||||
\(564\) | 0.661442 | + | 22.0009i | 0.0278517 | + | 0.926406i | ||||
\(565\) | −8.31006 | + | 14.9111i | −0.349607 | + | 0.627315i | ||||
\(566\) | 9.06857 | − | 2.94656i | 0.381180 | − | 0.123853i | ||||
\(567\) | −0.665090 | − | 0.243544i | −0.0279311 | − | 0.0102279i | ||||
\(568\) | −9.03570 | − | 9.03570i | −0.379129 | − | 0.379129i | ||||
\(569\) | −25.9540 | + | 18.8567i | −1.08805 | + | 0.790515i | −0.979069 | − | 0.203529i | \(-0.934759\pi\) |
−0.108981 | + | 0.994044i | \(0.534759\pi\) | |||||||
\(570\) | −5.43076 | − | 0.0387846i | −0.227470 | − | 0.00162451i | ||||
\(571\) | −34.1170 | − | 24.7874i | −1.42775 | − | 1.03732i | −0.990430 | − | 0.138017i | \(-0.955927\pi\) |
−0.437322 | − | 0.899305i | \(-0.644073\pi\) | |||||||
\(572\) | 0.878080 | + | 5.54398i | 0.0367144 | + | 0.231805i | ||||
\(573\) | 13.6968 | + | 12.8973i | 0.572194 | + | 0.538793i | ||||
\(574\) | 0.293928i | 0.0122683i | ||||||||
\(575\) | 4.82756 | + | 11.5194i | 0.201323 | + | 0.480394i | ||||
\(576\) | 2.31674 | − | 1.90597i | 0.0965306 | − | 0.0794156i | ||||
\(577\) | −10.0150 | − | 19.6556i | −0.416931 | − | 0.818274i | −0.999983 | − | 0.00583873i | \(-0.998141\pi\) |
0.583052 | − | 0.812435i | \(-0.301859\pi\) | |||||||
\(578\) | −7.04672 | + | 1.11609i | −0.293105 | + | 0.0464233i | ||||
\(579\) | 9.42275 | − | 32.2694i | 0.391596 | − | 1.34107i | ||||
\(580\) | 4.28365 | + | 15.0690i | 0.177869 | + | 0.625707i | ||||
\(581\) | −0.0408054 | − | 0.0561638i | −0.00169289 | − | 0.00233007i | ||||
\(582\) | −16.2586 | − | 7.67775i | −0.673940 | − | 0.318253i | ||||
\(583\) | 7.38553 | + | 1.16975i | 0.305877 | + | 0.0484462i | ||||
\(584\) | −0.410385 | − | 1.26303i | −0.0169818 | − | 0.0522647i | ||||
\(585\) | −30.0974 | + | 16.2145i | −1.24437 | + | 0.670387i | ||||
\(586\) | −9.62597 | + | 29.6257i | −0.397645 | + | 1.22383i | ||||
\(587\) | −5.85750 | + | 11.4960i | −0.241765 | + | 0.474490i | −0.979723 | − | 0.200356i | \(-0.935790\pi\) |
0.737958 | + | 0.674846i | \(0.235790\pi\) | |||||||
\(588\) | −1.53459 | + | 12.0160i | −0.0632855 | + | 0.495533i | ||||
\(589\) | −12.7423 | − | 4.14024i | −0.525039 | − | 0.170596i | ||||
\(590\) | −10.8002 | + | 10.0252i | −0.444639 | + | 0.412733i | ||||
\(591\) | 16.7555 | − | 12.9604i | 0.689230 | − | 0.533121i | ||||
\(592\) | 1.62063 | − | 10.2323i | 0.0666075 | − | 0.420543i | ||||
\(593\) | 3.75033 | − | 3.75033i | 0.154007 | − | 0.154007i | −0.625898 | − | 0.779905i | \(-0.715267\pi\) |
0.779905 | + | 0.625898i | \(0.215267\pi\) | |||||||
\(594\) | −5.69979 | + | 0.515322i | −0.233865 | + | 0.0211439i | ||||
\(595\) | 0.308027 | + | 0.458932i | 0.0126279 | + | 0.0188144i | ||||
\(596\) | −8.44527 | + | 11.6239i | −0.345932 | + | 0.476134i | ||||
\(597\) | −24.2053 | + | 13.2641i | −0.990656 | + | 0.542864i | ||||
\(598\) | 11.3432 | − | 5.77963i | 0.463856 | − | 0.236347i | ||||
\(599\) | 29.8620 | 1.22013 | 0.610065 | − | 0.792352i | \(-0.291143\pi\) | ||||
0.610065 | + | 0.792352i | \(0.291143\pi\) | |||||||
\(600\) | −8.34691 | + | 2.30847i | −0.340761 | + | 0.0942428i | ||||
\(601\) | 19.0008 | 0.775058 | 0.387529 | − | 0.921858i | \(-0.373329\pi\) | ||||
0.387529 | + | 0.921858i | \(0.373329\pi\) | |||||||
\(602\) | −0.0997231 | + | 0.0508115i | −0.00406441 | + | 0.00207092i | ||||
\(603\) | −14.9488 | − | 13.2517i | −0.608764 | − | 0.539649i | ||||
\(604\) | −0.191874 | + | 0.264091i | −0.00780722 | + | 0.0107457i | ||||
\(605\) | −13.5127 | + | 17.2141i | −0.549371 | + | 0.699853i | ||||
\(606\) | −13.6938 | + | 20.0910i | −0.556273 | + | 0.816139i | ||||
\(607\) | 29.8007 | − | 29.8007i | 1.20957 | − | 1.20957i | 0.238406 | − | 0.971165i | \(-0.423375\pi\) |
0.971165 | − | 0.238406i | \(-0.0766250\pi\) | |||||||
\(608\) | −0.219361 | + | 1.38499i | −0.00889625 | + | 0.0561687i | ||||
\(609\) | −0.584290 | − | 0.755382i | −0.0236766 | − | 0.0306096i | ||||
\(610\) | −8.85978 | + | 1.06725i | −0.358722 | + | 0.0432118i | ||||
\(611\) | −61.5942 | − | 20.0132i | −2.49184 | − | 0.809646i | ||||
\(612\) | −2.03048 | − | 9.20142i | −0.0820775 | − | 0.371945i | ||||
\(613\) | 0.600877 | − | 1.17929i | 0.0242692 | − | 0.0476310i | −0.878554 | − | 0.477644i | \(-0.841491\pi\) |
0.902823 | + | 0.430013i | \(0.141491\pi\) | |||||||
\(614\) | 0.683714 | − | 2.10425i | 0.0275924 | − | 0.0849208i | ||||
\(615\) | −10.3012 | + | 10.1551i | −0.415386 | + | 0.409495i | ||||
\(616\) | −0.0267848 | − | 0.0824351i | −0.00107919 | − | 0.00332141i | ||||
\(617\) | 41.5066 | + | 6.57400i | 1.67099 | + | 0.264659i | 0.918927 | − | 0.394428i | \(-0.129057\pi\) |
0.752067 | + | 0.659087i | \(0.229057\pi\) | |||||||
\(618\) | 9.76586 | − | 20.6804i | 0.392841 | − | 0.831889i | ||||
\(619\) | −9.51877 | − | 13.1015i | −0.382592 | − | 0.526592i | 0.573677 | − | 0.819082i | \(-0.305516\pi\) |
−0.956269 | + | 0.292489i | \(0.905516\pi\) | |||||||
\(620\) | −21.3502 | − | 0.794523i | −0.857443 | − | 0.0319088i | ||||
\(621\) | 5.10635 | + | 11.9335i | 0.204911 | + | 0.478875i | ||||
\(622\) | −13.4638 | + | 2.13245i | −0.539848 | + | 0.0855036i | ||||
\(623\) | 0.117151 | + | 0.229923i | 0.00469357 | + | 0.00921165i | ||||
\(624\) | 2.97877 | + | 8.30930i | 0.119246 | + | 0.332638i | ||||
\(625\) | 24.7238 | + | 3.70596i | 0.988952 | + | 0.148239i | ||||
\(626\) | 19.0983i | 0.763320i | ||||||||
\(627\) | 1.83385 | − | 1.94753i | 0.0732368 | − | 0.0777769i | ||||
\(628\) | 0.768905 | + | 4.85468i | 0.0306827 | + | 0.193723i | ||||
\(629\) | −26.3249 | − | 19.1262i | −1.04964 | − | 0.762611i | ||||
\(630\) | 0.419874 | − | 0.320007i | 0.0167282 | − | 0.0127494i | ||||
\(631\) | −9.33690 | + | 6.78365i | −0.371696 | + | 0.270053i | −0.757914 | − | 0.652355i | \(-0.773781\pi\) |
0.386218 | + | 0.922408i | \(0.373781\pi\) | |||||||
\(632\) | −7.04182 | − | 7.04182i | −0.280109 | − | 0.280109i | ||||
\(633\) | −18.8212 | + | 3.56380i | −0.748076 | + | 0.141648i | ||||
\(634\) | −8.64124 | + | 2.80771i | −0.343188 | + | 0.111508i | ||||
\(635\) | −6.53674 | + | 3.02993i | −0.259403 | + | 0.120239i | ||||
\(636\) | 11.7539 | − | 0.353372i | 0.466072 | − | 0.0140121i | ||||
\(637\) | −31.7579 | − | 16.1814i | −1.25829 | − | 0.641132i | ||||
\(638\) | −6.87543 | − | 3.50321i | −0.272201 | − | 0.138693i | ||||
\(639\) | 14.0151 | + | 35.6815i | 0.554428 | + | 1.41154i | ||||
\(640\) | 0.267425 | + | 2.22002i | 0.0105709 | + | 0.0877540i | ||||
\(641\) | 15.5088 | − | 5.03912i | 0.612561 | − | 0.199033i | 0.0137264 | − | 0.999906i | \(-0.495631\pi\) |
0.598835 | + | 0.800873i | \(0.295631\pi\) | |||||||
\(642\) | 6.27149 | + | 33.1211i | 0.247516 | + | 1.30719i | ||||
\(643\) | −12.8296 | − | 12.8296i | −0.505952 | − | 0.505952i | 0.407330 | − | 0.913281i | \(-0.366460\pi\) |
−0.913281 | + | 0.407330i | \(0.866460\pi\) | |||||||
\(644\) | −0.159043 | + | 0.115552i | −0.00626719 | + | 0.00455338i | ||||
\(645\) | −5.22619 | − | 1.73945i | −0.205781 | − | 0.0684909i | ||||
\(646\) | 3.56321 | + | 2.58883i | 0.140193 | + | 0.101856i | ||||
\(647\) | −3.97829 | − | 25.1179i | −0.156403 | − | 0.987488i | −0.933622 | − | 0.358259i | \(-0.883371\pi\) |
0.777220 | − | 0.629229i | \(-0.216629\pi\) | |||||||
\(648\) | −8.65618 | + | 2.46384i | −0.340047 | + | 0.0967889i | ||||
\(649\) | − | 7.25839i | − | 0.284917i | ||||||
\(650\) | 1.89392 | − | 25.4111i | 0.0742856 | − | 0.996707i | ||||
\(651\) | 1.22599 | − | 0.439499i | 0.0480502 | − | 0.0172253i | ||||
\(652\) | 0.695961 | + | 1.36590i | 0.0272559 | + | 0.0534928i | ||||
\(653\) | 30.0615 | − | 4.76127i | 1.17640 | − | 0.186323i | 0.462529 | − | 0.886604i | \(-0.346942\pi\) |
0.713867 | + | 0.700281i | \(0.246942\pi\) | |||||||
\(654\) | 20.4614 | + | 5.97478i | 0.800103 | + | 0.233633i | ||||
\(655\) | −9.87407 | + | 6.62730i | −0.385812 | + | 0.258950i | ||||
\(656\) | 2.19532 | + | 3.02160i | 0.0857129 | + | 0.117974i | ||||
\(657\) | −0.385730 | + | 3.96538i | −0.0150488 | + | 0.154704i | ||||
\(658\) | 0.987775 | + | 0.156448i | 0.0385075 | + | 0.00609899i | ||||
\(659\) | −3.19473 | − | 9.83236i | −0.124449 | − | 0.383014i | 0.869351 | − | 0.494195i | \(-0.164537\pi\) |
−0.993800 | + | 0.111180i | \(0.964537\pi\) | |||||||
\(660\) | 1.96368 | − | 3.78684i | 0.0764362 | − | 0.147402i | ||||
\(661\) | 3.97825 | − | 12.2438i | 0.154736 | − | 0.476229i | −0.843398 | − | 0.537289i | \(-0.819448\pi\) |
0.998134 | + | 0.0610606i | \(0.0194483\pi\) | |||||||
\(662\) | 5.01952 | − | 9.85137i | 0.195089 | − | 0.382884i | ||||
\(663\) | 27.5019 | + | 3.51232i | 1.06809 | + | 0.136407i | ||||
\(664\) | −0.838964 | − | 0.272596i | −0.0325581 | − | 0.0105788i | ||||
\(665\) | −0.0476384 | + | 0.242117i | −0.00184734 | + | 0.00938888i | ||||
\(666\) | −16.7245 | + | 26.1958i | −0.648063 | + | 1.01507i | ||||
\(667\) | −2.73781 | + | 17.2859i | −0.106008 | + | 0.669311i | ||||
\(668\) | −15.8270 | + | 15.8270i | −0.612365 | + | 0.612365i | ||||
\(669\) | 7.86218 | + | 5.35879i | 0.303969 | + | 0.207183i | ||||
\(670\) | 14.3224 | − | 4.07141i | 0.553323 | − | 0.157292i | ||||
\(671\) | 2.58363 | − | 3.55605i | 0.0997397 | − | 0.137280i | ||||
\(672\) | −0.0655044 | − | 0.119537i | −0.00252689 | − | 0.00461124i | ||||
\(673\) | 30.0291 | − | 15.3006i | 1.15754 | − | 0.589794i | 0.233596 | − | 0.972334i | \(-0.424951\pi\) |
0.923939 | + | 0.382540i | \(0.124951\pi\) | |||||||
\(674\) | 17.3028 | 0.666479 | ||||||||
\(675\) | 25.7218 | + | 3.65907i | 0.990033 | + | 0.140838i | ||||
\(676\) | −12.9725 | −0.498943 | ||||||||
\(677\) | −13.8891 | + | 7.07682i | −0.533800 | + | 0.271984i | −0.700044 | − | 0.714100i | \(-0.746836\pi\) |
0.166244 | + | 0.986085i | \(0.446836\pi\) | |||||||
\(678\) | −6.35430 | − | 11.5958i | −0.244035 | − | 0.445333i | ||||
\(679\) | −0.480192 | + | 0.660928i | −0.0184281 | + | 0.0253641i | ||||
\(680\) | 6.59425 | + | 2.41723i | 0.252878 | + | 0.0926965i | ||||
\(681\) | −9.67963 | − | 6.59754i | −0.370924 | − | 0.252818i | ||||
\(682\) | 7.44126 | − | 7.44126i | 0.284940 | − | 0.284940i | ||||
\(683\) | 4.20549 | − | 26.5524i | 0.160919 | − | 1.01600i | −0.766573 | − | 0.642157i | \(-0.778040\pi\) |
0.927492 | − | 0.373844i | \(-0.121960\pi\) | |||||||
\(684\) | 2.26375 | − | 3.54573i | 0.0865567 | − | 0.135575i | ||||
\(685\) | −22.4346 | − | 12.5029i | −0.857182 | − | 0.477713i | ||||
\(686\) | 1.04738 | + | 0.340314i | 0.0399891 | + | 0.0129932i | ||||
\(687\) | −5.21829 | − | 0.666439i | −0.199090 | − | 0.0254262i | ||||
\(688\) | −0.645655 | + | 1.26717i | −0.0246154 | + | 0.0483104i | ||||
\(689\) | −10.6919 | + | 32.9064i | −0.407330 | + | 1.25363i | ||||
\(690\) | −9.54463 | − | 1.58168i | −0.363358 | − | 0.0602133i | ||||
\(691\) | 7.00128 | + | 21.5477i | 0.266341 | + | 0.819714i | 0.991381 | + | 0.131007i | \(0.0418212\pi\) |
−0.725040 | + | 0.688707i | \(0.758179\pi\) | |||||||
\(692\) | 13.9996 | + | 2.21732i | 0.532185 | + | 0.0842898i | ||||
\(693\) | −0.0251756 | + | 0.258811i | −0.000956343 | + | 0.00983141i | ||||
\(694\) | 8.78938 | + | 12.0975i | 0.333640 | + | 0.459217i | ||||
\(695\) | 8.39009 | − | 22.8884i | 0.318254 | − | 0.868205i | ||||
\(696\) | −11.6484 | − | 3.40137i | −0.441532 | − | 0.128929i | ||||
\(697\) | 11.5866 | − | 1.83514i | 0.438875 | − | 0.0695110i | ||||
\(698\) | 0.156673 | + | 0.307489i | 0.00593018 | + | 0.0116386i | ||||
\(699\) | 2.25438 | − | 0.808162i | 0.0852684 | − | 0.0305675i | ||||
\(700\) | 0.0324990 | + | 0.392144i | 0.00122834 | + | 0.0148216i | ||||
\(701\) | − | 37.8133i | − | 1.42819i | −0.700049 | − | 0.714095i | \(-0.746839\pi\) | ||
0.700049 | − | 0.714095i | \(-0.253161\pi\) | |||||||
\(702\) | 1.77065 | − | 26.4220i | 0.0668288 | − | 0.997235i | ||||
\(703\) | −2.27253 | − | 14.3482i | −0.0857102 | − | 0.541153i | ||||
\(704\) | −0.891050 | − | 0.647386i | −0.0335827 | − | 0.0243993i | ||||
\(705\) | 28.6444 | + | 40.0236i | 1.07881 | + | 1.50738i | ||||
\(706\) | −16.2083 | + | 11.7760i | −0.610007 | + | 0.443196i | ||||
\(707\) | 0.781162 | + | 0.781162i | 0.0293786 | + | 0.0293786i | ||||
\(708\) | −2.12360 | − | 11.2152i | −0.0798099 | − | 0.421493i | ||||
\(709\) | 37.7779 | − | 12.2748i | 1.41878 | − | 0.460989i | 0.503565 | − | 0.863958i | \(-0.332022\pi\) |
0.915214 | + | 0.402968i | \(0.132022\pi\) | |||||||
\(710\) | −28.0359 | − | 5.51628i | −1.05217 | − | 0.207022i | ||||
\(711\) | 10.9224 | + | 27.8078i | 0.409623 | + | 1.04287i | ||||
\(712\) | 2.92160 | + | 1.48863i | 0.109491 | + | 0.0557887i | ||||
\(713\) | −21.2664 | − | 10.8358i | −0.796433 | − | 0.405803i | ||||
\(714\) | −0.427941 | + | 0.0128657i | −0.0160153 | + | 0.000481488i | ||||
\(715\) | 8.53888 | + | 9.19897i | 0.319336 | + | 0.344022i | ||||
\(716\) | 14.4473 | − | 4.69420i | 0.539919 | − | 0.175430i | ||||
\(717\) | 19.3509 | − | 3.66410i | 0.722673 | − | 0.136838i | ||||
\(718\) | 12.9715 | + | 12.9715i | 0.484093 | + | 0.484093i | ||||
\(719\) | 25.6075 | − | 18.6049i | 0.954998 | − | 0.693847i | 0.00301445 | − | 0.999995i | \(-0.499040\pi\) |
0.951984 | + | 0.306149i | \(0.0990405\pi\) | |||||||
\(720\) | 1.92623 | − | 6.42570i | 0.0717864 | − | 0.239472i | ||||
\(721\) | −0.840680 | − | 0.610790i | −0.0313086 | − | 0.0227470i | ||||
\(722\) | −2.66466 | − | 16.8240i | −0.0991682 | − | 0.626124i | ||||
\(723\) | 10.4769 | − | 11.1264i | 0.389640 | − | 0.413794i | ||||
\(724\) | 10.2709i | 0.381715i | ||||||||
\(725\) | 26.7314 | + | 22.6398i | 0.992779 | + | 0.840819i | ||||
\(726\) | −5.72039 | − | 15.9571i | −0.212304 | − | 0.592223i | ||||
\(727\) | −23.4214 | − | 45.9671i | −0.868652 | − | 1.70483i | −0.693719 | − | 0.720246i | \(-0.744029\pi\) |
−0.174934 | − | 0.984580i | \(-0.555971\pi\) | |||||||
\(728\) | 0.396131 | − | 0.0627409i | 0.0146816 | − | 0.00232533i | ||||
\(729\) | 26.7586 | + | 3.60258i | 0.991058 | + | 0.133429i | ||||
\(730\) | −2.33586 | − | 1.83361i | −0.0864541 | − | 0.0678648i | ||||
\(731\) | 2.62561 | + | 3.61384i | 0.0971117 | + | 0.133663i | ||||
\(732\) | 2.95165 | − | 6.25049i | 0.109096 | − | 0.231025i | ||||
\(733\) | −20.9008 | − | 3.31036i | −0.771988 | − | 0.122271i | −0.242000 | − | 0.970276i | \(-0.577803\pi\) |
−0.529988 | + | 0.848005i | \(0.677803\pi\) | |||||||
\(734\) | −0.00602247 | − | 0.0185352i | −0.000222293 | − | 0.000684148i | ||||
\(735\) | 12.1245 | + | 24.2218i | 0.447220 | + | 0.893435i | ||||
\(736\) | −0.771931 | + | 2.37576i | −0.0284538 | + | 0.0875717i | ||||
\(737\) | −3.32964 | + | 6.53478i | −0.122649 | + | 0.240712i | ||||
\(738\) | −2.41446 | − | 10.9415i | −0.0888776 | − | 0.402761i | ||||
\(739\) | 11.8537 | + | 3.85150i | 0.436046 | + | 0.141680i | 0.518811 | − | 0.854889i | \(-0.326375\pi\) |
−0.0827648 | + | 0.996569i | \(0.526375\pi\) | |||||||
\(740\) | −9.74194 | − | 21.0172i | −0.358121 | − | 0.772607i | ||||
\(741\) | 7.57313 | + | 9.79070i | 0.278206 | + | 0.359670i | ||||
\(742\) | 0.0835816 | − | 0.527714i | 0.00306838 | − | 0.0193730i | ||||
\(743\) | 2.30237 | − | 2.30237i | 0.0844658 | − | 0.0844658i | −0.663612 | − | 0.748077i | \(-0.730977\pi\) |
0.748077 | + | 0.663612i | \(0.230977\pi\) | |||||||
\(744\) | 9.32066 | − | 13.6749i | 0.341712 | − | 0.501345i | ||||
\(745\) | −1.19477 | + | 32.1055i | −0.0437730 | + | 1.17625i | ||||
\(746\) | −4.11202 | + | 5.65971i | −0.150552 | + | 0.207217i | ||||
\(747\) | 1.98034 | + | 1.75550i | 0.0724567 | + | 0.0642305i | ||||
\(748\) | −3.08236 | + | 1.57054i | −0.112702 | + | 0.0574247i | ||||
\(749\) | 1.53163 | 0.0559646 | ||||||||
\(750\) | −12.6206 | + | 14.6875i | −0.460838 | + | 0.536310i | ||||
\(751\) | 18.7652 | 0.684751 | 0.342375 | − | 0.939563i | \(-0.388769\pi\) | ||||
0.342375 | + | 0.939563i | \(0.388769\pi\) | |||||||
\(752\) | 11.3229 | − | 5.76930i | 0.412904 | − | 0.210385i | ||||
\(753\) | −22.1923 | + | 12.1610i | −0.808731 | + | 0.443172i | ||||
\(754\) | 20.9870 | − | 28.8861i | 0.764301 | − | 1.05197i | ||||
\(755\) | −0.0271448 | + | 0.729425i | −0.000987899 | + | 0.0265465i | ||||
\(756\) | 0.0368210 | + | 0.407264i | 0.00133917 | + | 0.0148120i | ||||
\(757\) | −7.02667 | + | 7.02667i | −0.255389 | + | 0.255389i | −0.823176 | − | 0.567787i | \(-0.807800\pi\) |
0.567787 | + | 0.823176i | \(0.307800\pi\) | |||||||
\(758\) | −1.90370 | + | 12.0195i | −0.0691453 | + | 0.436567i | ||||
\(759\) | 3.76939 | − | 2.91564i | 0.136820 | − | 0.105831i | ||||
\(760\) | 1.31862 | + | 2.84478i | 0.0478314 | + | 0.103191i | ||||
\(761\) | −48.1462 | − | 15.6436i | −1.74530 | − | 0.567081i | −0.749782 | − | 0.661685i | \(-0.769842\pi\) |
−0.995515 | + | 0.0946038i | \(0.969842\pi\) | |||||||
\(762\) | 0.706997 | − | 5.53587i | 0.0256118 | − | 0.200543i | ||||
\(763\) | 0.439694 | − | 0.862948i | 0.0159180 | − | 0.0312408i | ||||
\(764\) | 3.35652 | − | 10.3303i | 0.121435 | − | 0.373737i | ||||
\(765\) | −15.2362 | − | 14.5535i | −0.550865 | − | 0.526182i | ||||
\(766\) | −0.292865 | − | 0.901344i | −0.0105816 | − | 0.0325669i | ||||
\(767\) | 33.1721 | + | 5.25394i | 1.19777 | + | 0.189709i | ||||
\(768\) | −1.56620 | − | 0.739603i | −0.0565154 | − | 0.0266881i | ||||
\(769\) | 21.2813 | + | 29.2912i | 0.767422 | + | 1.05627i | 0.996560 | + | 0.0828721i | \(0.0264093\pi\) |
−0.229138 | + | 0.973394i | \(0.573591\pi\) | |||||||
\(770\) | −0.152456 | − | 0.119675i | −0.00549413 | − | 0.00431278i | ||||
\(771\) | −1.07951 | + | 3.69692i | −0.0388777 | + | 0.133141i | ||||
\(772\) | −19.1698 | + | 3.03620i | −0.689936 | + | 0.109275i | ||||
\(773\) | 10.6768 | + | 20.9544i | 0.384019 | + | 0.753679i | 0.999403 | − | 0.0345481i | \(-0.0109992\pi\) |
−0.615384 | + | 0.788227i | \(0.710999\pi\) | |||||||
\(774\) | 3.29481 | − | 2.71063i | 0.118429 | − | 0.0974317i | ||||
\(775\) | −40.6297 | + | 25.1303i | −1.45946 | + | 0.902705i | ||||
\(776\) | 10.3809i | 0.372653i | ||||||||
\(777\) | 1.02808 | + | 0.968067i | 0.0368822 | + | 0.0347292i | ||||
\(778\) | −3.10878 | − | 19.6281i | −0.111455 | − | 0.703701i | ||||
\(779\) | 4.23704 | + | 3.07839i | 0.151808 | + | 0.110295i | ||||
\(780\) | 15.8851 | + | 11.7154i | 0.568778 | + | 0.419480i | ||||
\(781\) | 11.3862 | − | 8.27256i | 0.407430 | − | 0.296015i | ||||
\(782\) | 5.54804 | + | 5.54804i | 0.198397 | + | 0.198397i | ||||
\(783\) | 27.9553 | + | 23.3195i | 0.999040 | + | 0.833370i | ||||
\(784\) | 6.65151 | − | 2.16121i | 0.237554 | − | 0.0771859i | ||||
\(785\) | 7.47721 | + | 8.05523i | 0.266873 | + | 0.287504i | ||||
\(786\) | −0.276811 | − | 9.20730i | −0.00987351 | − | 0.328414i | ||||
\(787\) | −28.0403 | − | 14.2872i | −0.999529 | − | 0.509285i | −0.123913 | − | 0.992293i | \(-0.539544\pi\) |
−0.875616 | + | 0.483008i | \(0.839544\pi\) | |||||||
\(788\) | −10.8970 | − | 5.55232i | −0.388191 | − | 0.197793i | ||||
\(789\) | −1.00856 | − | 33.5467i | −0.0359056 | − | 1.19429i | ||||
\(790\) | −21.8493 | − | 4.29902i | −0.777363 | − | 0.152952i | ||||
\(791\) | −0.571382 | + | 0.185653i | −0.0203160 | + | 0.00660107i | ||||
\(792\) | 1.67423 | + | 2.84863i | 0.0594910 | + | 0.101222i | ||||
\(793\) | 14.3816 | + | 14.3816i | 0.510707 | + | 0.510707i | ||||
\(794\) | 21.8203 | − | 15.8534i | 0.774375 | − | 0.562616i | ||||
\(795\) | 21.3824 | − | 15.3031i | 0.758356 | − | 0.542746i | ||||
\(796\) | 12.8922 | + | 9.36672i | 0.456952 | + | 0.331995i | ||||
\(797\) | −0.989635 | − | 6.24831i | −0.0350547 | − | 0.221326i | 0.963942 | − | 0.266113i | \(-0.0857393\pi\) |
−0.998997 | + | 0.0447862i | \(0.985739\pi\) | |||||||
\(798\) | −0.139156 | − | 0.131033i | −0.00492606 | − | 0.00463851i | ||||
\(799\) | − | 39.9149i | − | 1.41209i | ||||||
\(800\) | 3.26298 | + | 3.78853i | 0.115364 | + | 0.133945i | ||||
\(801\) | −6.24966 | − | 7.59654i | −0.220821 | − | 0.268410i | ||||
\(802\) | 15.4082 | + | 30.2402i | 0.544081 | + | 1.06782i | ||||
\(803\) | 1.44469 | − | 0.228816i | 0.0509818 | − | 0.00807473i | ||||
\(804\) | −3.23285 | + | 11.0713i | −0.114014 | + | 0.390454i | ||||
\(805\) | −0.151293 | + | 0.412729i | −0.00533236 | + | 0.0145468i | ||||
\(806\) | 28.6215 | + | 39.3941i | 1.00815 | + | 1.38760i | ||||
\(807\) | −8.60707 | − | 4.06450i | −0.302983 | − | 0.143077i | ||||
\(808\) | 13.8648 | + | 2.19597i | 0.487763 | + | 0.0772540i | ||||
\(809\) | 10.4456 | + | 32.1483i | 0.367249 | + | 1.13028i | 0.948561 | + | 0.316595i | \(0.102539\pi\) |
−0.581312 | + | 0.813681i | \(0.697461\pi\) | |||||||
\(810\) | −13.0011 | + | 15.3613i | −0.456813 | + | 0.539742i | ||||
\(811\) | −11.3720 | + | 34.9993i | −0.399324 | + | 1.22899i | 0.526219 | + | 0.850349i | \(0.323609\pi\) |
−0.925543 | + | 0.378643i | \(0.876391\pi\) | |||||||
\(812\) | −0.250313 | + | 0.491266i | −0.00878425 | + | 0.0172401i | ||||
\(813\) | −1.63327 | + | 12.7887i | −0.0572813 | + | 0.448519i | ||||
\(814\) | 10.8518 | + | 3.52597i | 0.380356 | + | 0.123585i | ||||
\(815\) | 2.99426 | + | 1.66872i | 0.104884 | + | 0.0584528i | ||||
\(816\) | −4.30317 | + | 3.32851i | −0.150641 | + | 0.116521i | ||||
\(817\) | −0.311969 | + | 1.96970i | −0.0109144 | + | 0.0689110i | ||||
\(818\) | −11.2430 | + | 11.2430i | −0.393103 | + | 0.393103i | ||||
\(819\) | −1.16459 | − | 0.302395i | −0.0406939 | − | 0.0105666i | ||||
\(820\) | 7.84128 | + | 2.87435i | 0.273829 | + | 0.100376i | ||||
\(821\) | 1.94467 | − | 2.67661i | 0.0678695 | − | 0.0934144i | −0.773733 | − | 0.633512i | \(-0.781613\pi\) |
0.841602 | + | 0.540098i | \(0.181613\pi\) | |||||||
\(822\) | 17.4465 | − | 9.56039i | 0.608516 | − | 0.333457i | ||||
\(823\) | −31.6727 | + | 16.1380i | −1.10404 | + | 0.562537i | −0.908385 | − | 0.418136i | \(-0.862684\pi\) |
−0.195656 | + | 0.980673i | \(0.562684\pi\) | |||||||
\(824\) | −13.2042 | −0.459990 | ||||||||
\(825\) | −1.07309 | − | 9.47784i | −0.0373604 | − | 0.329976i | ||||
\(826\) | −0.518630 | −0.0180454 | ||||||||
\(827\) | 7.96567 | − | 4.05871i | 0.276993 | − | 0.141135i | −0.309976 | − | 0.950744i | \(-0.600321\pi\) |
0.586969 | + | 0.809609i | \(0.300321\pi\) | |||||||
\(828\) | 4.97120 | − | 5.60787i | 0.172761 | − | 0.194887i | ||||
\(829\) | −6.82593 | + | 9.39508i | −0.237074 | + | 0.326305i | −0.910932 | − | 0.412556i | \(-0.864636\pi\) |
0.673858 | + | 0.738861i | \(0.264636\pi\) | |||||||
\(830\) | −1.89735 | + | 0.539357i | −0.0658580 | + | 0.0187214i | ||||
\(831\) | 18.6280 | − | 27.3302i | 0.646198 | − | 0.948073i | ||||
\(832\) | 3.60364 | − | 3.60364i | 0.124934 | − | 0.124934i | ||||
\(833\) | 3.43640 | − | 21.6966i | 0.119064 | − | 0.751743i | ||||
\(834\) | 11.5531 | + | 14.9361i | 0.400052 | + | 0.517195i | ||||
\(835\) | −9.66236 | + | 49.1078i | −0.334380 | + | 1.69945i | ||||
\(836\) | −1.46885 | − | 0.477258i | −0.0508012 | − | 0.0165063i | ||||
\(837\) | −42.0271 | + | 26.4312i | −1.45267 | + | 0.913596i | ||||
\(838\) | 12.4834 | − | 24.5000i | 0.431231 | − | 0.846339i | ||||
\(839\) | 1.99464 | − | 6.13888i | 0.0688628 | − | 0.211938i | −0.910703 | − | 0.413062i | \(-0.864459\pi\) |
0.979566 | + | 0.201124i | \(0.0644594\pi\) | |||||||
\(840\) | −0.270579 | − | 0.140310i | −0.00933585 | − | 0.00484115i | ||||
\(841\) | 6.20662 | + | 19.1020i | 0.214021 | + | 0.658690i | ||||
\(842\) | 31.5598 | + | 4.99858i | 1.08762 | + | 0.172262i | ||||
\(843\) | 1.04178 | − | 2.20610i | 0.0358809 | − | 0.0759822i | ||||
\(844\) | 6.50062 | + | 8.94734i | 0.223761 | + | 0.307980i | ||||
\(845\) | −24.0853 | + | 16.1656i | −0.828560 | + | 0.556115i | ||||
\(846\) | −38.0551 | + | 2.29027i | −1.30836 | + | 0.0787410i | ||||
\(847\) | −0.760725 | + | 0.120487i | −0.0261388 | + | 0.00413998i | ||||
\(848\) | −3.08222 | − | 6.04920i | −0.105844 | − | 0.207730i | ||||
\(849\) | 5.57329 | + | 15.5468i | 0.191275 | + | 0.533563i | ||||
\(850\) | 15.2554 | − | 3.72946i | 0.523256 | − | 0.127920i | ||||
\(851\) | − | 25.8790i | − | 0.887121i | ||||||
\(852\) | 15.1729 | − | 16.1135i | 0.519816 | − | 0.552040i | ||||
\(853\) | −4.13209 | − | 26.0890i | −0.141480 | − | 0.893271i | −0.951674 | − | 0.307109i | \(-0.900638\pi\) |
0.810194 | − | 0.586162i | \(-0.199362\pi\) | |||||||
\(854\) | −0.254089 | − | 0.184606i | −0.00869474 | − | 0.00631710i | ||||
\(855\) | −0.215521 | − | 9.40412i | −0.00737065 | − | 0.321614i | ||||
\(856\) | 15.7453 | − | 11.4396i | 0.538163 | − | 0.390998i | ||||
\(857\) | −21.7170 | − | 21.7170i | −0.741840 | − | 0.741840i | 0.231092 | − | 0.972932i | \(-0.425770\pi\) |
−0.972932 | + | 0.231092i | \(0.925770\pi\) | |||||||
\(858\) | −9.55241 | + | 1.80875i | −0.326114 | + | 0.0617498i | ||||
\(859\) | −2.16755 | + | 0.704281i | −0.0739560 | + | 0.0240298i | −0.345761 | − | 0.938322i | \(-0.612379\pi\) |
0.271805 | + | 0.962352i | \(0.412379\pi\) | |||||||
\(860\) | 0.380325 | + | 3.15726i | 0.0129690 | + | 0.107662i | ||||
\(861\) | −0.508868 | + | 0.0152987i | −0.0173422 | + | 0.000521380i | ||||
\(862\) | 7.71732 | + | 3.93217i | 0.262853 | + | 0.133930i | ||||
\(863\) | −1.81350 | − | 0.924026i | −0.0617324 | − | 0.0314542i | 0.422852 | − | 0.906199i | \(-0.361029\pi\) |
−0.484584 | + | 0.874745i | \(0.661029\pi\) | |||||||
\(864\) | 3.42034 | + | 3.91169i | 0.116362 | + | 0.133078i | ||||
\(865\) | 28.7554 | − | 13.3288i | 0.977712 | − | 0.453191i | ||||
\(866\) | 10.2541 | − | 3.33175i | 0.348448 | − | 0.113218i | ||||
\(867\) | −2.29903 | − | 12.1417i | −0.0780792 | − | 0.412353i | ||||
\(868\) | −0.531696 | − | 0.531696i | −0.0180469 | − | 0.0180469i | ||||
\(869\) | 8.87365 | − | 6.44709i | 0.301018 | − | 0.218702i | ||||
\(870\) | −25.8656 | + | 8.20048i | −0.876925 | + | 0.278022i | ||||
\(871\) | −27.4549 | − | 19.9472i | −0.930274 | − | 0.675884i | ||||
\(872\) | −1.92520 | − | 12.1552i | −0.0651953 | − | 0.411627i | ||||
\(873\) | 12.4460 | − | 28.5476i | 0.421233 | − | 0.966190i | ||||
\(874\) | 3.50286i | 0.118486i | ||||||||
\(875\) | 0.549007 | + | 0.687572i | 0.0185598 | + | 0.0232442i | ||||
\(876\) | 2.16529 | − | 0.776226i | 0.0731584 | − | 0.0262263i | ||||
\(877\) | −2.88829 | − | 5.66858i | −0.0975305 | − | 0.191414i | 0.837086 | − | 0.547071i | \(-0.184257\pi\) |
−0.934617 | + | 0.355657i | \(0.884257\pi\) | |||||||
\(878\) | −33.8818 | + | 5.36634i | −1.14345 | + | 0.181105i | ||||
\(879\) | −51.7911 | − | 15.1231i | −1.74687 | − | 0.510091i | ||||
\(880\) | −2.46110 | − | 0.0915871i | −0.0829636 | − | 0.00308740i | ||||
\(881\) | 3.61099 | + | 4.97010i | 0.121657 | + | 0.167447i | 0.865502 | − | 0.500906i | \(-0.167000\pi\) |
−0.743844 | + | 0.668353i | \(0.767000\pi\) | |||||||
\(882\) | −20.8829 | − | 2.03137i | −0.703162 | − | 0.0683996i | ||||
\(883\) | −39.1067 | − | 6.19390i | −1.31605 | − | 0.208441i | −0.541362 | − | 0.840789i | \(-0.682091\pi\) |
−0.774684 | + | 0.632348i | \(0.782091\pi\) | |||||||
\(884\) | −4.94649 | − | 15.2237i | −0.166369 | − | 0.512030i | ||||
\(885\) | −17.9185 | − | 18.1763i | −0.602325 | − | 0.610990i | ||||
\(886\) | 2.00247 | − | 6.16296i | 0.0672742 | − | 0.207049i | ||||
\(887\) | −21.9363 | + | 43.0525i | −0.736550 | + | 1.44556i | 0.152763 | + | 0.988263i | \(0.451183\pi\) |
−0.889313 | + | 0.457299i | \(0.848817\pi\) | |||||||
\(888\) | 17.7991 | + | 2.27316i | 0.597300 | + | 0.0762824i | ||||
\(889\) | −0.241160 | − | 0.0783578i | −0.00808826 | − | 0.00262804i | ||||
\(890\) | 7.27940 | − | 0.876881i | 0.244006 | − | 0.0293931i | ||||
\(891\) | −1.18883 | − | 9.84104i | −0.0398273 | − | 0.329687i | ||||
\(892\) | 0.859348 | − | 5.42571i | 0.0287731 | − | 0.181666i | ||||
\(893\) | 12.6005 | − | 12.6005i | 0.421660 | − | 0.421660i | ||||
\(894\) | −20.5637 | − | 14.0160i | −0.687753 | − | 0.468766i | ||||
\(895\) | 20.9737 | − | 26.7188i | 0.701075 | − | 0.893112i | ||||
\(896\) | −0.0462573 | + | 0.0636677i | −0.00154535 | + | 0.00212699i | ||||
\(897\) | 10.5965 | + | 19.3372i | 0.353807 | + | 0.645652i | ||||
\(898\) | −20.2669 | + | 10.3265i | −0.676314 | + | 0.344599i | ||||
\(899\) | −66.9409 | −2.23260 | ||||||||
\(900\) | −4.43103 | − | 14.3306i | −0.147701 | − | 0.477687i | ||||
\(901\) | −21.3243 | −0.710416 | ||||||||
\(902\) | −3.66526 | + | 1.86754i | −0.122040 | + | 0.0621824i | ||||
\(903\) | −0.0931588 | − | 0.170003i | −0.00310013 | − | 0.00565734i | ||||
\(904\) | −4.48722 | + | 6.17613i | −0.149243 | + | 0.205415i | ||||
\(905\) | 12.7990 | + | 19.0694i | 0.425454 | + | 0.633888i | ||||
\(906\) | −0.467200 | − | 0.318439i | −0.0155217 | − | 0.0105794i | ||||
\(907\) | −24.7561 | + | 24.7561i | −0.822014 | + | 0.822014i | −0.986397 | − | 0.164383i | \(-0.947437\pi\) |
0.164383 | + | 0.986397i | \(0.447437\pi\) | |||||||
\(908\) | −1.05800 | + | 6.67994i | −0.0351109 | + | 0.221682i | ||||
\(909\) | −35.4956 | − | 22.6619i | −1.17731 | − | 0.751649i | ||||
\(910\) | 0.657289 | − | 0.610124i | 0.0217889 | − | 0.0202254i | ||||
\(911\) | −48.5335 | − | 15.7695i | −1.60799 | − | 0.522466i | −0.638921 | − | 0.769272i | \(-0.720619\pi\) |
−0.969065 | + | 0.246806i | \(0.920619\pi\) | |||||||
\(912\) | −2.40920 | − | 0.307684i | −0.0797767 | − | 0.0101884i | ||||
\(913\) | 0.441091 | − | 0.865690i | 0.0145980 | − | 0.0286502i | ||||
\(914\) | −2.74480 | + | 8.44762i | −0.0907898 | + | 0.279422i | ||||
\(915\) | −2.30885 | − | 15.2831i | −0.0763282 | − | 0.505244i | ||||
\(916\) | 0.938563 | + | 2.88860i | 0.0310110 | + | 0.0954420i | ||||
\(917\) | −0.413380 | − | 0.0654729i | −0.0136510 | − | 0.00216211i | ||||
\(918\) | 15.8244 | − | 3.99424i | 0.522284 | − | 0.131830i | ||||
\(919\) | 6.34757 | + | 8.73668i | 0.209387 | + | 0.288196i | 0.900774 | − | 0.434288i | \(-0.143000\pi\) |
−0.691387 | + | 0.722485i | \(0.743000\pi\) | |||||||
\(920\) | 1.52734 | + | 5.37288i | 0.0503549 | + | 0.177139i | ||||
\(921\) | 3.67862 | + | 1.07417i | 0.121215 | + | 0.0353950i | ||||
\(922\) | 22.1617 | − | 3.51006i | 0.729855 | − | 0.115598i | ||||
\(923\) | 29.5652 | + | 58.0249i | 0.973150 | + | 1.90991i | ||||
\(924\) | 0.141323 | − | 0.0506624i | 0.00464919 | − | 0.00166667i | ||||
\(925\) | −44.2778 | − | 26.8816i | −1.45584 | − | 0.883860i | ||||
\(926\) | − | 24.2111i | − | 0.795626i | ||||||
\(927\) | 36.3117 | + | 15.8309i | 1.19263 | + | 0.519956i | ||||
\(928\) | 1.09599 | + | 6.91981i | 0.0359777 | + | 0.227154i | ||||
\(929\) | 38.0194 | + | 27.6227i | 1.24738 | + | 0.906272i | 0.998067 | − | 0.0621513i | \(-0.0197961\pi\) |
0.249310 | + | 0.968424i | \(0.419796\pi\) | |||||||
\(930\) | 0.264271 | − | 37.0042i | 0.00866580 | − | 1.21342i | ||||
\(931\) | 7.93409 | − | 5.76446i | 0.260029 | − | 0.188922i | ||||
\(932\) | −0.977696 | − | 0.977696i | −0.0320255 | − | 0.0320255i | ||||
\(933\) | −4.39263 | − | 23.1984i | −0.143808 | − | 0.759482i | ||||
\(934\) | 12.8115 | − | 4.16270i | 0.419204 | − | 0.136208i | ||||
\(935\) | −3.76572 | + | 6.75700i | −0.123152 | + | 0.220978i | ||||
\(936\) | −14.2306 | + | 5.58954i | −0.465141 | + | 0.182700i | ||||
\(937\) | 40.7667 | + | 20.7717i | 1.33179 | + | 0.678581i | 0.967539 | − | 0.252721i | \(-0.0813253\pi\) |
0.364250 | + | 0.931301i | \(0.381325\pi\) | |||||||
\(938\) | 0.466926 | + | 0.237911i | 0.0152457 | + | 0.00776806i | ||||
\(939\) | −33.0642 | + | 0.994051i | −1.07901 | + | 0.0324396i | ||||
\(940\) | 13.8332 | − | 24.8215i | 0.451189 | − | 0.809588i | ||||
\(941\) | 29.1364 | − | 9.46699i | 0.949820 | − | 0.308615i | 0.207177 | − | 0.978303i | \(-0.433572\pi\) |
0.742642 | + | 0.669688i | \(0.233572\pi\) | |||||||
\(942\) | −8.36473 | + | 1.58386i | −0.272537 | + | 0.0516051i | ||||
\(943\) | 6.59721 | + | 6.59721i | 0.214835 | + | 0.214835i | ||||
\(944\) | −5.33155 | + | 3.87360i | −0.173527 | + | 0.126075i | ||||
\(945\) | 0.575873 | + | 0.710259i | 0.0187331 | + | 0.0231047i | ||||
\(946\) | −1.26723 | − | 0.920697i | −0.0412012 | − | 0.0299344i | ||||
\(947\) | −2.25687 | − | 14.2493i | −0.0733384 | − | 0.463040i | −0.996839 | − | 0.0794442i | \(-0.974685\pi\) |
0.923501 | − | 0.383596i | \(-0.125315\pi\) | |||||||
\(948\) | 11.8248 | − | 12.5578i | 0.384051 | − | 0.407859i | ||||
\(949\) | 6.76809i | 0.219701i | ||||||||
\(950\) | 5.99322 | + | 3.63856i | 0.194446 | + | 0.118050i | ||||
\(951\) | −5.31067 | − | 14.8142i | −0.172210 | − | 0.480382i | ||||
\(952\) | 0.112219 | + | 0.220242i | 0.00363704 | + | 0.00713809i | ||||
\(953\) | −3.89283 | + | 0.616563i | −0.126101 | + | 0.0199724i | −0.219166 | − | 0.975688i | \(-0.570334\pi\) |
0.0930649 | + | 0.995660i | \(0.470334\pi\) | |||||||
\(954\) | 1.22356 | + | 20.3307i | 0.0396143 | + | 0.658232i | ||||
\(955\) | −6.64120 | − | 23.3624i | −0.214904 | − | 0.755990i | ||||
\(956\) | −6.68358 | − | 9.19915i | −0.216162 | − | 0.297522i | ||||
\(957\) | 5.70713 | − | 12.0856i | 0.184485 | − | 0.390671i | ||||
\(958\) | −17.0684 | − | 2.70337i | −0.551455 | − | 0.0873420i | ||||
\(959\) | −0.279326 | − | 0.859676i | −0.00901989 | − | 0.0277604i | ||||
\(960\) | −3.82953 | + | 0.578534i | −0.123598 | + | 0.0186721i | ||||
\(961\) | 18.6313 | − | 57.3413i | 0.601010 | − | 1.84972i | ||||
\(962\) | −23.9693 | + | 47.0424i | −0.772801 | + | 1.51671i | ||||
\(963\) | −57.0151 | + | 12.5816i | −1.83729 | + | 0.405435i | ||||
\(964\) | −8.39163 | − | 2.72661i | −0.270276 | − | 0.0878181i | ||||
\(965\) | −31.8079 | + | 29.5255i | −1.02393 | + | 0.950459i | ||||
\(966\) | −0.208329 | − | 0.269332i | −0.00670288 | − | 0.00866563i | ||||
\(967\) | −8.16627 | + | 51.5598i | −0.262610 | + | 1.65805i | 0.405579 | + | 0.914060i | \(0.367070\pi\) |
−0.668189 | + | 0.743992i | \(0.732930\pi\) | |||||||
\(968\) | −6.92040 | + | 6.92040i | −0.222430 | + | 0.222430i | ||||
\(969\) | −4.29649 | + | 6.30363i | −0.138023 | + | 0.202502i | ||||
\(970\) | 12.9361 | + | 19.2736i | 0.415353 | + | 0.618839i | ||||
\(971\) | −2.69176 | + | 3.70489i | −0.0863828 | + | 0.118896i | −0.850021 | − | 0.526748i | \(-0.823411\pi\) |
0.763638 | + | 0.645644i | \(0.223411\pi\) | |||||||
\(972\) | −4.71612 | − | 14.8579i | −0.151270 | − | 0.476568i | ||||
\(973\) | 0.764451 | − | 0.389507i | 0.0245072 | − | 0.0124870i | ||||
\(974\) | 3.62274 | 0.116080 | ||||||||
\(975\) | 44.0921 | + | 1.95625i | 1.41208 | + | 0.0626501i | ||||
\(976\) | −3.99086 | −0.127744 | ||||||||
\(977\) | −3.68285 | + | 1.87651i | −0.117825 | + | 0.0600348i | −0.511910 | − | 0.859039i | \(-0.671062\pi\) |
0.394085 | + | 0.919074i | \(0.371062\pi\) | |||||||
\(978\) | −2.32852 | + | 1.27599i | −0.0744578 | + | 0.0408017i | ||||
\(979\) | −2.12277 | + | 2.92174i | −0.0678439 | + | 0.0933792i | ||||
\(980\) | 9.65630 | − | 12.3013i | 0.308459 | − | 0.392951i | ||||
\(981\) | −9.27896 | + | 35.7351i | −0.296254 | + | 1.14093i | ||||
\(982\) | 4.08144 | − | 4.08144i | 0.130244 | − | 0.130244i | ||||
\(983\) | −4.05781 | + | 25.6200i | −0.129424 | + | 0.817151i | 0.834507 | + | 0.550998i | \(0.185753\pi\) |
−0.963931 | + | 0.266153i | \(0.914247\pi\) | |||||||
\(984\) | −5.11694 | + | 3.95796i | −0.163122 | + | 0.126175i | ||||
\(985\) | −27.1509 | + | 3.27061i | −0.865099 | + | 0.104210i | ||||
\(986\) | 20.9285 | + | 6.80010i | 0.666501 | + | 0.216559i | ||||
\(987\) | −0.219441 | + | 1.71825i | −0.00698488 | + | 0.0546924i | ||||
\(988\) | 3.24437 | − | 6.36743i | 0.103217 | − | 0.202575i | ||||
\(989\) | −1.09782 | + | 3.37875i | −0.0349087 | + | 0.107438i | ||||
\(990\) | 6.65824 | + | 3.20256i | 0.211613 | + | 0.101784i | ||||
\(991\) | −7.36863 | − | 22.6783i | −0.234072 | − | 0.720400i | −0.997243 | − | 0.0742035i | \(-0.976359\pi\) |
0.763171 | − | 0.646197i | \(-0.223641\pi\) | |||||||
\(992\) | −9.43706 | − | 1.49468i | −0.299627 | − | 0.0474562i | ||||
\(993\) | 17.3166 | + | 8.17738i | 0.549526 | + | 0.259501i | ||||
\(994\) | −0.591094 | − | 0.813572i | −0.0187484 | − | 0.0258049i | ||||
\(995\) | 35.6085 | + | 1.32513i | 1.12887 | + | 0.0420095i | ||||
\(996\) | 0.428269 | − | 1.46666i | 0.0135702 | − | 0.0464729i | ||||
\(997\) | 15.5032 | − | 2.45546i | 0.490990 | − | 0.0777652i | 0.0939699 | − | 0.995575i | \(-0.470044\pi\) |
0.397020 | + | 0.917810i | \(0.370044\pi\) | |||||||
\(998\) | 12.9651 | + | 25.4455i | 0.410404 | + | 0.805464i | ||||
\(999\) | −46.2225 | − | 27.5912i | −1.46241 | − | 0.872947i |
(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 | 150.2.l.a.53.9 | yes | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.53.3 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.c.257.10 | 80 | |||
5.3 | odd | 4 | 750.2.l.a.257.1 | 80 | |||
5.4 | even | 2 | 750.2.l.b.743.2 | 80 | |||
15.2 | even | 4 | 750.2.l.c.257.5 | 80 | |||
15.8 | even | 4 | 750.2.l.a.257.6 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.743.8 | 80 | |||
25.6 | even | 5 | 750.2.l.c.143.5 | 80 | |||
25.8 | odd | 20 | 750.2.l.b.107.8 | 80 | |||
25.17 | odd | 20 | inner | 150.2.l.a.17.3 | ✓ | 80 | |
25.19 | even | 10 | 750.2.l.a.143.6 | 80 | |||
75.8 | even | 20 | 750.2.l.b.107.2 | 80 | |||
75.17 | even | 20 | inner | 150.2.l.a.17.9 | yes | 80 | |
75.44 | odd | 10 | 750.2.l.a.143.1 | 80 | |||
75.56 | odd | 10 | 750.2.l.c.143.10 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.17.3 | ✓ | 80 | 25.17 | odd | 20 | inner | |
150.2.l.a.17.9 | yes | 80 | 75.17 | even | 20 | inner | |
150.2.l.a.53.3 | yes | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.53.9 | yes | 80 | 1.1 | even | 1 | trivial | |
750.2.l.a.143.1 | 80 | 75.44 | odd | 10 | |||
750.2.l.a.143.6 | 80 | 25.19 | even | 10 | |||
750.2.l.a.257.1 | 80 | 5.3 | odd | 4 | |||
750.2.l.a.257.6 | 80 | 15.8 | even | 4 | |||
750.2.l.b.107.2 | 80 | 75.8 | even | 20 | |||
750.2.l.b.107.8 | 80 | 25.8 | odd | 20 | |||
750.2.l.b.743.2 | 80 | 5.4 | even | 2 | |||
750.2.l.b.743.8 | 80 | 15.14 | odd | 2 | |||
750.2.l.c.143.5 | 80 | 25.6 | even | 5 | |||
750.2.l.c.143.10 | 80 | 75.56 | odd | 10 | |||
750.2.l.c.257.5 | 80 | 15.2 | even | 4 | |||
750.2.l.c.257.10 | 80 | 5.2 | odd | 4 |