Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(50,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.50");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fy (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 743.29 | ||
Character | \(\chi\) | \(=\) | 819.743 |
Dual form | 819.2.fy.a.722.29 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06571 | + | 0.285555i | −0.753568 | + | 0.201918i | −0.615100 | − | 0.788449i | \(-0.710885\pi\) |
−0.138468 | + | 0.990367i | \(0.544218\pi\) | |||||||
\(3\) | 0.611203 | + | 1.62063i | 0.352878 | + | 0.935669i | ||||
\(4\) | −0.677862 | + | 0.391364i | −0.338931 | + | 0.195682i | ||||
\(5\) | 4.22771 | − | 1.13281i | 1.89069 | − | 0.506609i | 0.892204 | − | 0.451633i | \(-0.149158\pi\) |
0.998488 | − | 0.0549758i | \(-0.0175082\pi\) | |||||||
\(6\) | −1.11414 | − | 1.55258i | −0.454846 | − | 0.633838i | ||||
\(7\) | 0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | ||||
\(8\) | 2.17095 | − | 2.17095i | 0.767546 | − | 0.767546i | ||||
\(9\) | −2.25286 | + | 1.98106i | −0.750954 | + | 0.660354i | ||||
\(10\) | −4.18202 | + | 2.41449i | −1.32247 | + | 0.763529i | ||||
\(11\) | −0.432106 | − | 1.61264i | −0.130285 | − | 0.486230i | 0.869688 | − | 0.493602i | \(-0.164320\pi\) |
−0.999973 | + | 0.00737217i | \(0.997653\pi\) | |||||||
\(12\) | −1.04857 | − | 0.859358i | −0.302695 | − | 0.248075i | ||||
\(13\) | −2.06051 | + | 2.95877i | −0.571482 | + | 0.820614i | ||||
\(14\) | −0.955487 | − | 0.551650i | −0.255365 | − | 0.147435i | ||||
\(15\) | 4.41986 | + | 6.15917i | 1.14120 | + | 1.59029i | ||||
\(16\) | −0.910942 | + | 1.57780i | −0.227735 | + | 0.394449i | ||||
\(17\) | −0.720308 | + | 1.24761i | −0.174700 | + | 0.302590i | −0.940058 | − | 0.341016i | \(-0.889229\pi\) |
0.765357 | + | 0.643606i | \(0.222562\pi\) | |||||||
\(18\) | 1.83519 | − | 2.75455i | 0.432558 | − | 0.649253i | ||||
\(19\) | 1.10232 | + | 4.11390i | 0.252889 | + | 0.943794i | 0.969253 | + | 0.246067i | \(0.0791384\pi\) |
−0.716364 | + | 0.697727i | \(0.754195\pi\) | |||||||
\(20\) | −2.42246 | + | 2.42246i | −0.541679 | + | 0.541679i | ||||
\(21\) | −0.713771 | + | 1.57814i | −0.155758 | + | 0.344379i | ||||
\(22\) | 0.920997 | + | 1.59521i | 0.196357 | + | 0.340101i | ||||
\(23\) | 7.17226 | 1.49552 | 0.747760 | − | 0.663969i | \(-0.231129\pi\) | ||||
0.747760 | + | 0.663969i | \(0.231129\pi\) | |||||||
\(24\) | 4.84519 | + | 2.19141i | 0.989020 | + | 0.447319i | ||||
\(25\) | 12.2602 | − | 7.07842i | 2.45204 | − | 1.41568i | ||||
\(26\) | 1.35101 | − | 3.74157i | 0.264954 | − | 0.733782i | ||||
\(27\) | −4.58752 | − | 2.44022i | −0.882868 | − | 0.469620i | ||||
\(28\) | −0.756057 | − | 0.202585i | −0.142881 | − | 0.0382849i | ||||
\(29\) | −0.483094 | − | 0.278914i | −0.0897082 | − | 0.0517931i | 0.454475 | − | 0.890760i | \(-0.349827\pi\) |
−0.544183 | + | 0.838967i | \(0.683160\pi\) | |||||||
\(30\) | −6.46905 | − | 5.30175i | −1.18108 | − | 0.967964i | ||||
\(31\) | −0.393693 | − | 1.46928i | −0.0707093 | − | 0.263891i | 0.921517 | − | 0.388338i | \(-0.126951\pi\) |
−0.992226 | + | 0.124448i | \(0.960284\pi\) | |||||||
\(32\) | −1.06900 | + | 3.98955i | −0.188974 | + | 0.705259i | ||||
\(33\) | 2.34939 | − | 1.68593i | 0.408976 | − | 0.293483i | ||||
\(34\) | 0.411375 | − | 1.53527i | 0.0705503 | − | 0.263297i | ||||
\(35\) | 3.79046 | + | 2.18843i | 0.640706 | + | 0.369911i | ||||
\(36\) | 0.751814 | − | 2.22458i | 0.125302 | − | 0.370763i | ||||
\(37\) | −1.95708 | + | 7.30392i | −0.321742 | + | 1.20076i | 0.595805 | + | 0.803129i | \(0.296833\pi\) |
−0.917547 | + | 0.397628i | \(0.869833\pi\) | |||||||
\(38\) | −2.34949 | − | 4.06944i | −0.381138 | − | 0.660151i | ||||
\(39\) | −6.05445 | − | 1.53091i | −0.969487 | − | 0.245142i | ||||
\(40\) | 6.71887 | − | 11.6374i | 1.06235 | − | 1.84004i | ||||
\(41\) | −2.28497 | − | 2.28497i | −0.356853 | − | 0.356853i | 0.505799 | − | 0.862652i | \(-0.331198\pi\) |
−0.862652 | + | 0.505799i | \(0.831198\pi\) | |||||||
\(42\) | 0.310024 | − | 1.88566i | 0.0478377 | − | 0.290963i | ||||
\(43\) | − | 6.80805i | − | 1.03822i | −0.854708 | − | 0.519109i | \(-0.826264\pi\) | ||
0.854708 | − | 0.519109i | \(-0.173736\pi\) | |||||||
\(44\) | 0.924038 | + | 0.924038i | 0.139304 | + | 0.139304i | ||||
\(45\) | −7.28029 | + | 10.9274i | −1.08528 | + | 1.62897i | ||||
\(46\) | −7.64353 | + | 2.04808i | −1.12698 | + | 0.301972i | ||||
\(47\) | 9.28411 | + | 2.48767i | 1.35423 | + | 0.362864i | 0.861693 | − | 0.507430i | \(-0.169404\pi\) |
0.492533 | + | 0.870294i | \(0.336071\pi\) | |||||||
\(48\) | −3.11379 | − | 0.511943i | −0.449437 | − | 0.0738926i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | −11.0445 | + | 11.0445i | −1.56192 | + | 1.56192i | ||||
\(51\) | −2.46216 | − | 0.404808i | −0.344772 | − | 0.0566844i | ||||
\(52\) | 0.238786 | − | 2.81204i | 0.0331136 | − | 0.389960i | ||||
\(53\) | 13.5656i | 1.86338i | 0.363252 | + | 0.931691i | \(0.381666\pi\) | ||||
−0.363252 | + | 0.931691i | \(0.618334\pi\) | |||||||
\(54\) | 5.58577 | + | 1.29057i | 0.760127 | + | 0.175624i | ||||
\(55\) | −3.65364 | − | 6.32829i | −0.492657 | − | 0.853307i | ||||
\(56\) | 3.07019 | 0.410271 | ||||||||
\(57\) | −5.99336 | + | 4.30087i | −0.793840 | + | 0.569665i | ||||
\(58\) | 0.594482 | + | 0.159291i | 0.0780593 | + | 0.0209159i | ||||
\(59\) | 2.71649 | + | 0.727882i | 0.353657 | + | 0.0947622i | 0.431274 | − | 0.902221i | \(-0.358064\pi\) |
−0.0776165 | + | 0.996983i | \(0.524731\pi\) | |||||||
\(60\) | −5.40653 | − | 2.44529i | −0.697980 | − | 0.315686i | ||||
\(61\) | 8.52739 | 1.09182 | 0.545910 | − | 0.837844i | \(-0.316184\pi\) | ||||
0.545910 | + | 0.837844i | \(0.316184\pi\) | |||||||
\(62\) | 0.839122 | + | 1.45340i | 0.106569 | + | 0.184582i | ||||
\(63\) | −2.99384 | − | 0.192192i | −0.377188 | − | 0.0242139i | ||||
\(64\) | − | 8.20071i | − | 1.02509i | ||||||
\(65\) | −5.35951 | + | 14.8430i | −0.664766 | + | 1.84105i | ||||
\(66\) | −2.02233 | + | 2.46759i | −0.248932 | + | 0.303739i | ||||
\(67\) | −1.15831 | + | 1.15831i | −0.141510 | + | 0.141510i | −0.774313 | − | 0.632803i | \(-0.781904\pi\) |
0.632803 | + | 0.774313i | \(0.281904\pi\) | |||||||
\(68\) | − | 1.12761i | − | 0.136743i | ||||||
\(69\) | 4.38370 | + | 11.6236i | 0.527736 | + | 1.39931i | ||||
\(70\) | −4.66444 | − | 1.24983i | −0.557507 | − | 0.149384i | ||||
\(71\) | −13.2583 | + | 3.55255i | −1.57347 | + | 0.421610i | −0.936897 | − | 0.349605i | \(-0.886316\pi\) |
−0.636574 | + | 0.771216i | \(0.719649\pi\) | |||||||
\(72\) | −0.590064 | + | 9.19164i | −0.0695397 | + | 1.08324i | ||||
\(73\) | −5.23705 | − | 5.23705i | −0.612950 | − | 0.612950i | 0.330763 | − | 0.943714i | \(-0.392694\pi\) |
−0.943714 | + | 0.330763i | \(0.892694\pi\) | |||||||
\(74\) | − | 8.34269i | − | 0.969818i | ||||||
\(75\) | 18.9649 | + | 15.5428i | 2.18988 | + | 1.79473i | ||||
\(76\) | −2.35725 | − | 2.35725i | −0.270395 | − | 0.270395i | ||||
\(77\) | 0.834765 | − | 1.44585i | 0.0951303 | − | 0.164770i | ||||
\(78\) | 6.88942 | − | 0.0973793i | 0.780074 | − | 0.0110260i | ||||
\(79\) | −2.40564 | − | 4.16670i | −0.270656 | − | 0.468790i | 0.698374 | − | 0.715733i | \(-0.253907\pi\) |
−0.969030 | + | 0.246943i | \(0.920574\pi\) | |||||||
\(80\) | −2.06385 | + | 7.70240i | −0.230746 | + | 0.861155i | ||||
\(81\) | 1.15078 | − | 8.92612i | 0.127865 | − | 0.991792i | ||||
\(82\) | 3.08760 | + | 1.78263i | 0.340968 | + | 0.196858i | ||||
\(83\) | 1.06371 | − | 3.96983i | 0.116758 | − | 0.435745i | −0.882655 | − | 0.470022i | \(-0.844246\pi\) |
0.999412 | + | 0.0342767i | \(0.0109128\pi\) | |||||||
\(84\) | −0.133789 | − | 1.34911i | −0.0145976 | − | 0.147200i | ||||
\(85\) | −1.63195 | + | 6.09051i | −0.177010 | + | 0.660609i | ||||
\(86\) | 1.94407 | + | 7.25538i | 0.209635 | + | 0.782368i | ||||
\(87\) | 0.156748 | − | 0.953388i | 0.0168051 | − | 0.102214i | ||||
\(88\) | −4.43904 | − | 2.56288i | −0.473204 | − | 0.273204i | ||||
\(89\) | −4.58335 | − | 1.22811i | −0.485834 | − | 0.130179i | 0.00758373 | − | 0.999971i | \(-0.497586\pi\) |
−0.493418 | + | 0.869792i | \(0.664253\pi\) | |||||||
\(90\) | 4.63826 | − | 13.7244i | 0.488916 | − | 1.44668i | ||||
\(91\) | −3.54916 | + | 0.635165i | −0.372053 | + | 0.0665834i | ||||
\(92\) | −4.86180 | + | 2.80696i | −0.506878 | + | 0.292646i | ||||
\(93\) | 2.14053 | − | 1.53606i | 0.221963 | − | 0.159282i | ||||
\(94\) | −10.6045 | −1.09377 | ||||||||
\(95\) | 9.32056 | + | 16.1437i | 0.956270 | + | 1.65631i | ||||
\(96\) | −7.11894 | + | 0.705979i | −0.726574 | + | 0.0720536i | ||||
\(97\) | −8.60673 | + | 8.60673i | −0.873881 | + | 0.873881i | −0.992893 | − | 0.119011i | \(-0.962027\pi\) |
0.119011 | + | 0.992893i | \(0.462027\pi\) | |||||||
\(98\) | −0.285555 | − | 1.06571i | −0.0288454 | − | 0.107653i | ||||
\(99\) | 4.16822 | + | 2.77703i | 0.418922 | + | 0.279102i | ||||
\(100\) | −5.54047 | + | 9.59638i | −0.554047 | + | 0.959638i | ||||
\(101\) | 1.63551 | − | 2.83279i | 0.162739 | − | 0.281873i | −0.773111 | − | 0.634271i | \(-0.781300\pi\) |
0.935850 | + | 0.352398i | \(0.114634\pi\) | |||||||
\(102\) | 2.73954 | − | 0.271677i | 0.271255 | − | 0.0269001i | ||||
\(103\) | −9.17468 | − | 5.29700i | −0.904008 | − | 0.521929i | −0.0255094 | − | 0.999675i | \(-0.508121\pi\) |
−0.878498 | + | 0.477746i | \(0.841454\pi\) | |||||||
\(104\) | 1.95007 | + | 10.8966i | 0.191221 | + | 1.06850i | ||||
\(105\) | −1.22988 | + | 7.48050i | −0.120024 | + | 0.730022i | ||||
\(106\) | −3.87373 | − | 14.4570i | −0.376250 | − | 1.40419i | ||||
\(107\) | −3.83292 | + | 2.21294i | −0.370543 | + | 0.213933i | −0.673695 | − | 0.739009i | \(-0.735294\pi\) |
0.303153 | + | 0.952942i | \(0.401961\pi\) | |||||||
\(108\) | 4.06472 | − | 0.141257i | 0.391128 | − | 0.0135925i | ||||
\(109\) | 5.42408 | − | 5.42408i | 0.519532 | − | 0.519532i | −0.397898 | − | 0.917430i | \(-0.630260\pi\) |
0.917430 | + | 0.397898i | \(0.130260\pi\) | |||||||
\(110\) | 5.70079 | + | 5.70079i | 0.543549 | + | 0.543549i | ||||
\(111\) | −13.0331 | + | 1.29248i | −1.23705 | + | 0.122677i | ||||
\(112\) | −1.75980 | + | 0.471538i | −0.166286 | + | 0.0445562i | ||||
\(113\) | 2.79574 | − | 1.61412i | 0.263001 | − | 0.151844i | −0.362702 | − | 0.931905i | \(-0.618146\pi\) |
0.625703 | + | 0.780062i | \(0.284812\pi\) | |||||||
\(114\) | 5.15903 | − | 6.29491i | 0.483187 | − | 0.589572i | ||||
\(115\) | 30.3223 | − | 8.12483i | 2.82757 | − | 0.757644i | ||||
\(116\) | 0.436628 | 0.0405399 | ||||||||
\(117\) | −1.21946 | − | 10.7477i | −0.112739 | − | 0.993625i | ||||
\(118\) | −3.10284 | −0.285639 | ||||||||
\(119\) | −1.39153 | + | 0.372859i | −0.127561 | + | 0.0341799i | ||||
\(120\) | 22.9665 | + | 3.77596i | 2.09655 | + | 0.344696i | ||||
\(121\) | 7.11238 | − | 4.10634i | 0.646580 | − | 0.373303i | ||||
\(122\) | −9.08770 | + | 2.43504i | −0.822761 | + | 0.220458i | ||||
\(123\) | 2.30651 | − | 5.09967i | 0.207971 | − | 0.459822i | ||||
\(124\) | 0.841892 | + | 0.841892i | 0.0756042 | + | 0.0756042i | ||||
\(125\) | 28.3395 | − | 28.3395i | 2.53476 | − | 2.53476i | ||||
\(126\) | 3.24543 | − | 0.650086i | 0.289126 | − | 0.0579143i | ||||
\(127\) | −2.81901 | + | 1.62756i | −0.250147 | + | 0.144422i | −0.619831 | − | 0.784735i | \(-0.712799\pi\) |
0.369685 | + | 0.929157i | \(0.379466\pi\) | |||||||
\(128\) | 0.203764 | + | 0.760457i | 0.0180103 | + | 0.0672155i | ||||
\(129\) | 11.0333 | − | 4.16110i | 0.971428 | − | 0.366364i | ||||
\(130\) | 1.47317 | − | 17.3487i | 0.129206 | − | 1.52158i | ||||
\(131\) | −15.6943 | − | 9.06113i | −1.37122 | − | 0.791675i | −0.380139 | − | 0.924929i | \(-0.624124\pi\) |
−0.991082 | + | 0.133255i | \(0.957457\pi\) | |||||||
\(132\) | −0.932746 | + | 2.06229i | −0.0811851 | + | 0.179500i | ||||
\(133\) | −2.12951 | + | 3.68843i | −0.184652 | + | 0.319827i | ||||
\(134\) | 0.903659 | − | 1.56518i | 0.0780643 | − | 0.135211i | ||||
\(135\) | −22.1590 | − | 5.11975i | −1.90715 | − | 0.440638i | ||||
\(136\) | 1.14475 | + | 4.27225i | 0.0981611 | + | 0.366342i | ||||
\(137\) | 12.2619 | − | 12.2619i | 1.04760 | − | 1.04760i | 0.0487923 | − | 0.998809i | \(-0.484463\pi\) |
0.998809 | − | 0.0487923i | \(-0.0155372\pi\) | |||||||
\(138\) | −7.99091 | − | 11.1355i | −0.680232 | − | 0.947918i | ||||
\(139\) | −3.00533 | − | 5.20538i | −0.254908 | − | 0.441514i | 0.709962 | − | 0.704240i | \(-0.248712\pi\) |
−0.964871 | + | 0.262725i | \(0.915379\pi\) | |||||||
\(140\) | −3.42588 | −0.289540 | ||||||||
\(141\) | 1.64289 | + | 16.5665i | 0.138356 | + | 1.39515i | ||||
\(142\) | 13.1150 | − | 7.57196i | 1.10059 | − | 0.635424i | ||||
\(143\) | 5.66179 | + | 2.04436i | 0.473463 | + | 0.170958i | ||||
\(144\) | −1.07349 | − | 5.35919i | −0.0894574 | − | 0.446599i | ||||
\(145\) | −2.35834 | − | 0.631915i | −0.195849 | − | 0.0524777i | ||||
\(146\) | 7.07662 | + | 4.08569i | 0.585666 | + | 0.338134i | ||||
\(147\) | −1.62063 | + | 0.611203i | −0.133667 | + | 0.0504111i | ||||
\(148\) | −1.53186 | − | 5.71698i | −0.125918 | − | 0.469933i | ||||
\(149\) | −5.79012 | + | 21.6090i | −0.474345 | + | 1.77028i | 0.149532 | + | 0.988757i | \(0.452223\pi\) |
−0.623877 | + | 0.781522i | \(0.714443\pi\) | |||||||
\(150\) | −24.6494 | − | 11.1486i | −2.01261 | − | 0.910276i | ||||
\(151\) | 0.169432 | − | 0.632330i | 0.0137882 | − | 0.0514583i | −0.958689 | − | 0.284456i | \(-0.908187\pi\) |
0.972477 | + | 0.232998i | \(0.0748536\pi\) | |||||||
\(152\) | 11.3241 | + | 6.53800i | 0.918510 | + | 0.530302i | ||||
\(153\) | −0.848839 | − | 4.23767i | −0.0686245 | − | 0.342595i | ||||
\(154\) | −0.476743 | + | 1.77923i | −0.0384170 | + | 0.143374i | ||||
\(155\) | −3.32884 | − | 5.76572i | −0.267379 | − | 0.463114i | ||||
\(156\) | 4.70322 | − | 1.33175i | 0.376559 | − | 0.106625i | ||||
\(157\) | 3.72343 | − | 6.44917i | 0.297162 | − | 0.514700i | −0.678323 | − | 0.734764i | \(-0.737293\pi\) |
0.975486 | + | 0.220063i | \(0.0706264\pi\) | |||||||
\(158\) | 3.75353 | + | 3.75353i | 0.298615 | + | 0.298615i | ||||
\(159\) | −21.9848 | + | 8.29134i | −1.74351 | + | 0.657546i | ||||
\(160\) | 18.0776i | 1.42916i | ||||||||
\(161\) | 5.07155 | + | 5.07155i | 0.399694 | + | 0.399694i | ||||
\(162\) | 1.32251 | + | 9.84124i | 0.103906 | + | 0.773201i | ||||
\(163\) | 13.3381 | − | 3.57394i | 1.04472 | − | 0.279933i | 0.304654 | − | 0.952463i | \(-0.401459\pi\) |
0.740070 | + | 0.672530i | \(0.234793\pi\) | |||||||
\(164\) | 2.44315 | + | 0.654640i | 0.190778 | + | 0.0511188i | ||||
\(165\) | 8.02269 | − | 9.78906i | 0.624565 | − | 0.762077i | ||||
\(166\) | 4.53442i | 0.351939i | ||||||||
\(167\) | 13.6487 | − | 13.6487i | 1.05617 | − | 1.05617i | 0.0578408 | − | 0.998326i | \(-0.481578\pi\) |
0.998326 | − | 0.0578408i | \(-0.0184216\pi\) | |||||||
\(168\) | 1.87651 | + | 4.97562i | 0.144776 | + | 0.383878i | ||||
\(169\) | −4.50861 | − | 12.1931i | −0.346816 | − | 0.937933i | ||||
\(170\) | − | 6.95671i | − | 0.533555i | ||||||
\(171\) | −10.6333 | − | 7.08430i | −0.813147 | − | 0.541750i | ||||
\(172\) | 2.66442 | + | 4.61491i | 0.203160 | + | 0.351884i | ||||
\(173\) | −1.83251 | −0.139323 | −0.0696615 | − | 0.997571i | \(-0.522192\pi\) | ||||
−0.0696615 | + | 0.997571i | \(0.522192\pi\) | |||||||
\(174\) | 0.105198 | + | 1.06079i | 0.00797501 | + | 0.0804184i | ||||
\(175\) | 13.6744 | + | 3.66406i | 1.03369 | + | 0.276977i | ||||
\(176\) | 2.93804 | + | 0.787247i | 0.221463 | + | 0.0593410i | ||||
\(177\) | 0.480702 | + | 4.84730i | 0.0361318 | + | 0.364346i | ||||
\(178\) | 5.23520 | 0.392395 | ||||||||
\(179\) | −3.59433 | − | 6.22556i | −0.268653 | − | 0.465320i | 0.699861 | − | 0.714279i | \(-0.253245\pi\) |
−0.968514 | + | 0.248958i | \(0.919912\pi\) | |||||||
\(180\) | 0.658426 | − | 10.2565i | 0.0490761 | − | 0.764477i | ||||
\(181\) | 22.0564i | 1.63944i | 0.572765 | + | 0.819720i | \(0.305871\pi\) | ||||
−0.572765 | + | 0.819720i | \(0.694129\pi\) | |||||||
\(182\) | 3.60099 | − | 1.69038i | 0.266923 | − | 0.125299i | ||||
\(183\) | 5.21196 | + | 13.8197i | 0.385279 | + | 1.02158i | ||||
\(184\) | 15.5706 | − | 15.5706i | 1.14788 | − | 1.14788i | ||||
\(185\) | 33.0959i | 2.43326i | ||||||||
\(186\) | −1.84255 | + | 2.24823i | −0.135102 | + | 0.164848i | ||||
\(187\) | 2.32320 | + | 0.622499i | 0.169889 | + | 0.0455216i | ||||
\(188\) | −7.26693 | + | 1.94717i | −0.529995 | + | 0.142012i | ||||
\(189\) | −1.51837 | − | 4.96936i | −0.110445 | − | 0.361468i | ||||
\(190\) | −14.5429 | − | 14.5429i | −1.05505 | − | 1.05505i | ||||
\(191\) | − | 19.1989i | − | 1.38919i | −0.719402 | − | 0.694593i | \(-0.755584\pi\) | ||
0.719402 | − | 0.694593i | \(-0.244416\pi\) | |||||||
\(192\) | 13.2903 | − | 5.01230i | 0.959145 | − | 0.361731i | ||||
\(193\) | −6.84038 | − | 6.84038i | −0.492381 | − | 0.492381i | 0.416675 | − | 0.909056i | \(-0.363195\pi\) |
−0.909056 | + | 0.416675i | \(0.863195\pi\) | |||||||
\(194\) | 6.71456 | − | 11.6300i | 0.482077 | − | 0.834982i | ||||
\(195\) | −27.3307 | + | 0.386309i | −1.95719 | + | 0.0276641i | ||||
\(196\) | −0.391364 | − | 0.677862i | −0.0279545 | − | 0.0484187i | ||||
\(197\) | −2.49670 | + | 9.31783i | −0.177883 | + | 0.663868i | 0.818160 | + | 0.574991i | \(0.194994\pi\) |
−0.996043 | + | 0.0888767i | \(0.971672\pi\) | |||||||
\(198\) | −5.23510 | − | 1.76924i | −0.372042 | − | 0.125735i | ||||
\(199\) | −10.7281 | − | 6.19387i | −0.760494 | − | 0.439071i | 0.0689790 | − | 0.997618i | \(-0.478026\pi\) |
−0.829473 | + | 0.558547i | \(0.811359\pi\) | |||||||
\(200\) | 11.2493 | − | 41.9831i | 0.795448 | − | 2.96865i | ||||
\(201\) | −2.58516 | − | 1.16923i | −0.182343 | − | 0.0824710i | ||||
\(202\) | −0.934058 | + | 3.48595i | −0.0657201 | + | 0.245271i | ||||
\(203\) | −0.144377 | − | 0.538821i | −0.0101333 | − | 0.0378178i | ||||
\(204\) | 1.82743 | − | 0.689198i | 0.127946 | − | 0.0482535i | ||||
\(205\) | −12.2487 | − | 7.07177i | −0.855484 | − | 0.493914i | ||||
\(206\) | 11.2901 | + | 3.02517i | 0.786619 | + | 0.210774i | ||||
\(207\) | −16.1581 | + | 14.2087i | −1.12307 | + | 0.987573i | ||||
\(208\) | −2.79133 | − | 5.94633i | −0.193544 | − | 0.412304i | ||||
\(209\) | 6.15793 | − | 3.55529i | 0.425953 | − | 0.245924i | ||||
\(210\) | −0.825405 | − | 8.32322i | −0.0569584 | − | 0.574357i | ||||
\(211\) | 0.442367 | 0.0304538 | 0.0152269 | − | 0.999884i | \(-0.495153\pi\) | ||||
0.0152269 | + | 0.999884i | \(0.495153\pi\) | |||||||
\(212\) | −5.30909 | − | 9.19562i | −0.364630 | − | 0.631558i | ||||
\(213\) | −13.8609 | − | 19.3154i | −0.949731 | − | 1.32347i | ||||
\(214\) | 3.45285 | − | 3.45285i | 0.236032 | − | 0.236032i | ||||
\(215\) | −7.71224 | − | 28.7825i | −0.525970 | − | 1.96295i | ||||
\(216\) | −15.2569 | + | 4.66168i | −1.03810 | + | 0.317187i | ||||
\(217\) | 0.760556 | − | 1.31732i | 0.0516299 | − | 0.0894256i | ||||
\(218\) | −4.23160 | + | 7.32935i | −0.286600 | + | 0.496406i | ||||
\(219\) | 5.28640 | − | 11.6882i | 0.357222 | − | 0.789815i | ||||
\(220\) | 4.95333 | + | 2.85981i | 0.333953 | + | 0.192808i | ||||
\(221\) | −2.20719 | − | 4.70193i | −0.148471 | − | 0.316286i | ||||
\(222\) | 13.5204 | − | 5.09908i | 0.907429 | − | 0.342228i | ||||
\(223\) | −3.01107 | − | 11.2375i | −0.201636 | − | 0.752516i | −0.990449 | − | 0.137882i | \(-0.955970\pi\) |
0.788813 | − | 0.614634i | \(-0.210696\pi\) | |||||||
\(224\) | −3.57693 | + | 2.06514i | −0.238994 | + | 0.137983i | ||||
\(225\) | −13.5977 | + | 40.2349i | −0.906514 | + | 2.68233i | ||||
\(226\) | −2.51852 | + | 2.51852i | −0.167529 | + | 0.167529i | ||||
\(227\) | −12.3562 | − | 12.3562i | −0.820112 | − | 0.820112i | 0.166012 | − | 0.986124i | \(-0.446911\pi\) |
−0.986124 | + | 0.166012i | \(0.946911\pi\) | |||||||
\(228\) | 2.37947 | − | 5.26098i | 0.157584 | − | 0.348417i | ||||
\(229\) | 4.16313 | − | 1.11551i | 0.275107 | − | 0.0737147i | −0.118628 | − | 0.992939i | \(-0.537850\pi\) |
0.393735 | + | 0.919224i | \(0.371183\pi\) | |||||||
\(230\) | −29.9946 | + | 17.3174i | −1.97778 | + | 1.14187i | ||||
\(231\) | 2.85340 | + | 0.469132i | 0.187740 | + | 0.0308666i | ||||
\(232\) | −1.65428 | + | 0.443263i | −0.108609 | + | 0.0291016i | ||||
\(233\) | 19.0080 | 1.24526 | 0.622628 | − | 0.782518i | \(-0.286065\pi\) | ||||
0.622628 | + | 0.782518i | \(0.286065\pi\) | |||||||
\(234\) | 4.36865 | + | 11.1057i | 0.285588 | + | 0.726000i | ||||
\(235\) | 42.0686 | 2.74425 | ||||||||
\(236\) | −2.12627 | + | 0.569733i | −0.138409 | + | 0.0370865i | ||||
\(237\) | 5.28233 | − | 6.44535i | 0.343124 | − | 0.418670i | ||||
\(238\) | 1.37649 | − | 0.794716i | 0.0892245 | − | 0.0515138i | ||||
\(239\) | −7.03800 | + | 1.88583i | −0.455250 | + | 0.121984i | −0.479155 | − | 0.877730i | \(-0.659057\pi\) |
0.0239047 | + | 0.999714i | \(0.492390\pi\) | |||||||
\(240\) | −13.7441 | + | 1.36299i | −0.887181 | + | 0.0879809i | ||||
\(241\) | −4.46239 | − | 4.46239i | −0.287447 | − | 0.287447i | 0.548623 | − | 0.836070i | \(-0.315152\pi\) |
−0.836070 | + | 0.548623i | \(0.815152\pi\) | |||||||
\(242\) | −6.40713 | + | 6.40713i | −0.411866 | + | 0.411866i | ||||
\(243\) | 15.1693 | − | 3.59068i | 0.973110 | − | 0.230343i | ||||
\(244\) | −5.78039 | + | 3.33731i | −0.370052 | + | 0.213649i | ||||
\(245\) | 1.13281 | + | 4.22771i | 0.0723727 | + | 0.270099i | ||||
\(246\) | −1.00182 | + | 6.09339i | −0.0638739 | + | 0.388500i | ||||
\(247\) | −14.4434 | − | 5.21523i | −0.919013 | − | 0.331837i | ||||
\(248\) | −4.04442 | − | 2.33505i | −0.256821 | − | 0.148276i | ||||
\(249\) | 7.08375 | − | 0.702488i | 0.448914 | − | 0.0445184i | ||||
\(250\) | −22.1091 | + | 38.2941i | −1.39830 | + | 2.42193i | ||||
\(251\) | 2.63081 | − | 4.55670i | 0.166055 | − | 0.287617i | −0.770974 | − | 0.636866i | \(-0.780230\pi\) |
0.937030 | + | 0.349250i | \(0.113564\pi\) | |||||||
\(252\) | 2.10462 | − | 1.04140i | 0.132579 | − | 0.0656020i | ||||
\(253\) | −3.09918 | − | 11.5663i | −0.194844 | − | 0.727166i | ||||
\(254\) | 2.53948 | − | 2.53948i | 0.159341 | − | 0.159341i | ||||
\(255\) | −10.8679 | + | 1.07776i | −0.680574 | + | 0.0674919i | ||||
\(256\) | 7.76641 | + | 13.4518i | 0.485401 | + | 0.840738i | ||||
\(257\) | 13.0161 | 0.811921 | 0.405961 | − | 0.913891i | \(-0.366937\pi\) | ||||
0.405961 | + | 0.913891i | \(0.366937\pi\) | |||||||
\(258\) | −10.5700 | + | 7.58512i | −0.658062 | + | 0.472229i | ||||
\(259\) | −6.54852 | + | 3.78079i | −0.406905 | + | 0.234927i | ||||
\(260\) | −2.17600 | − | 12.1590i | −0.134950 | − | 0.754070i | ||||
\(261\) | 1.64089 | − | 0.328683i | 0.101569 | − | 0.0203450i | ||||
\(262\) | 19.3130 | + | 5.17491i | 1.19316 | + | 0.319707i | ||||
\(263\) | 13.5208 | + | 7.80626i | 0.833731 | + | 0.481355i | 0.855128 | − | 0.518416i | \(-0.173478\pi\) |
−0.0213975 | + | 0.999771i | \(0.506812\pi\) | |||||||
\(264\) | 1.44032 | − | 8.76047i | 0.0886457 | − | 0.539170i | ||||
\(265\) | 15.3673 | + | 57.3516i | 0.944006 | + | 3.52308i | ||||
\(266\) | 1.21619 | − | 4.53887i | 0.0745692 | − | 0.278296i | ||||
\(267\) | −0.811056 | − | 8.17852i | −0.0496358 | − | 0.500517i | ||||
\(268\) | 0.331854 | − | 1.23850i | 0.0202712 | − | 0.0756533i | ||||
\(269\) | 5.76388 | + | 3.32778i | 0.351430 | + | 0.202898i | 0.665315 | − | 0.746563i | \(-0.268297\pi\) |
−0.313885 | + | 0.949461i | \(0.601631\pi\) | |||||||
\(270\) | 25.0770 | − | 0.871477i | 1.52614 | − | 0.0530364i | ||||
\(271\) | 4.26855 | − | 15.9304i | 0.259296 | − | 0.967705i | −0.706354 | − | 0.707859i | \(-0.749661\pi\) |
0.965650 | − | 0.259847i | \(-0.0836720\pi\) | |||||||
\(272\) | −1.31232 | − | 2.27300i | −0.0795709 | − | 0.137821i | ||||
\(273\) | −3.19862 | − | 5.36366i | −0.193590 | − | 0.324623i | ||||
\(274\) | −9.56611 | + | 16.5690i | −0.577910 | + | 1.00097i | ||||
\(275\) | −16.7126 | − | 16.7126i | −1.00781 | − | 1.00781i | ||||
\(276\) | −7.52058 | − | 6.16354i | −0.452686 | − | 0.371002i | ||||
\(277\) | − | 2.04238i | − | 0.122715i | −0.998116 | − | 0.0613574i | \(-0.980457\pi\) | ||
0.998116 | − | 0.0613574i | \(-0.0195429\pi\) | |||||||
\(278\) | 4.68922 | + | 4.68922i | 0.281241 | + | 0.281241i | ||||
\(279\) | 3.79767 | + | 2.53016i | 0.227361 | + | 0.151477i | ||||
\(280\) | 12.9799 | − | 3.47794i | 0.775695 | − | 0.207847i | ||||
\(281\) | −0.311473 | − | 0.0834589i | −0.0185809 | − | 0.00497874i | 0.249517 | − | 0.968371i | \(-0.419728\pi\) |
−0.268098 | + | 0.963392i | \(0.586395\pi\) | |||||||
\(282\) | −6.48150 | − | 17.1859i | −0.385968 | − | 1.02341i | ||||
\(283\) | − | 31.2149i | − | 1.85553i | −0.373160 | − | 0.927767i | \(-0.621726\pi\) | ||
0.373160 | − | 0.927767i | \(-0.378274\pi\) | |||||||
\(284\) | 7.59696 | − | 7.59696i | 0.450796 | − | 0.450796i | ||||
\(285\) | −20.4661 | + | 24.9722i | −1.21231 | + | 1.47923i | ||||
\(286\) | −6.61759 | − | 0.561935i | −0.391306 | − | 0.0332279i | ||||
\(287\) | − | 3.23144i | − | 0.190746i | ||||||
\(288\) | −5.49525 | − | 11.1057i | −0.323810 | − | 0.654407i | ||||
\(289\) | 7.46231 | + | 12.9251i | 0.438960 | + | 0.760300i | ||||
\(290\) | 2.69374 | 0.158182 | ||||||||
\(291\) | −19.2088 | − | 8.68785i | −1.12604 | − | 0.509291i | ||||
\(292\) | 5.59959 | + | 1.50040i | 0.327691 | + | 0.0878045i | ||||
\(293\) | −0.977624 | − | 0.261954i | −0.0571134 | − | 0.0153035i | 0.230149 | − | 0.973155i | \(-0.426079\pi\) |
−0.287263 | + | 0.957852i | \(0.592745\pi\) | |||||||
\(294\) | 1.55258 | − | 1.11414i | 0.0905484 | − | 0.0649780i | ||||
\(295\) | 12.3091 | 0.716664 | ||||||||
\(296\) | 11.6077 | + | 20.1052i | 0.674685 | + | 1.16859i | ||||
\(297\) | −1.95290 | + | 8.45246i | −0.113319 | + | 0.490461i | ||||
\(298\) | − | 24.6823i | − | 1.42981i | ||||||
\(299\) | −14.7785 | + | 21.2211i | −0.854663 | + | 1.22725i | ||||
\(300\) | −18.9385 | − | 3.11370i | −1.09341 | − | 0.179770i | ||||
\(301\) | 4.81402 | − | 4.81402i | 0.277475 | − | 0.277475i | ||||
\(302\) | 0.722261i | 0.0415615i | ||||||||
\(303\) | 5.59052 | + | 0.919145i | 0.321167 | + | 0.0528035i | ||||
\(304\) | −7.49505 | − | 2.00829i | −0.429871 | − | 0.115184i | ||||
\(305\) | 36.0514 | − | 9.65994i | 2.06430 | − | 0.553126i | ||||
\(306\) | 2.11470 | + | 4.27372i | 0.120889 | + | 0.244312i | ||||
\(307\) | 6.30755 | + | 6.30755i | 0.359991 | + | 0.359991i | 0.863809 | − | 0.503819i | \(-0.168072\pi\) |
−0.503819 | + | 0.863809i | \(0.668072\pi\) | |||||||
\(308\) | 1.30679i | 0.0744611i | ||||||||
\(309\) | 2.97688 | − | 18.1063i | 0.169349 | − | 1.03003i | ||||
\(310\) | 5.19400 | + | 5.19400i | 0.294999 | + | 0.294999i | ||||
\(311\) | 8.36033 | − | 14.4805i | 0.474071 | − | 0.821115i | −0.525489 | − | 0.850801i | \(-0.676117\pi\) |
0.999559 | + | 0.0296861i | \(0.00945076\pi\) | |||||||
\(312\) | −16.4674 | + | 9.82037i | −0.932284 | + | 0.555969i | ||||
\(313\) | 3.57212 | + | 6.18710i | 0.201908 | + | 0.349716i | 0.949143 | − | 0.314844i | \(-0.101952\pi\) |
−0.747235 | + | 0.664560i | \(0.768619\pi\) | |||||||
\(314\) | −2.12649 | + | 7.93617i | −0.120005 | + | 0.447864i | ||||
\(315\) | −12.8748 | + | 2.57893i | −0.725413 | + | 0.145306i | ||||
\(316\) | 3.26139 | + | 1.88296i | 0.183467 | + | 0.105925i | ||||
\(317\) | 4.01692 | − | 14.9913i | 0.225613 | − | 0.841998i | −0.756545 | − | 0.653941i | \(-0.773114\pi\) |
0.982158 | − | 0.188057i | \(-0.0602189\pi\) | |||||||
\(318\) | 21.0617 | − | 15.1140i | 1.18108 | − | 0.847552i | ||||
\(319\) | −0.241041 | + | 0.899577i | −0.0134957 | + | 0.0503667i | ||||
\(320\) | −9.28987 | − | 34.6703i | −0.519320 | − | 1.93813i | ||||
\(321\) | −5.92904 | − | 4.85918i | −0.330927 | − | 0.271213i | ||||
\(322\) | −6.85300 | − | 3.95658i | −0.381903 | − | 0.220492i | ||||
\(323\) | −5.92655 | − | 1.58802i | −0.329762 | − | 0.0883595i | ||||
\(324\) | 2.71329 | + | 6.50105i | 0.150738 | + | 0.361170i | ||||
\(325\) | −4.31881 | + | 50.8601i | −0.239564 | + | 2.82121i | ||||
\(326\) | −13.1940 | + | 7.61755i | −0.730747 | + | 0.421897i | ||||
\(327\) | 12.1056 | + | 5.47519i | 0.669442 | + | 0.302779i | ||||
\(328\) | −9.92112 | −0.547802 | ||||||||
\(329\) | 4.80581 | + | 8.32390i | 0.264953 | + | 0.458912i | ||||
\(330\) | −5.75451 | + | 12.7232i | −0.316776 | + | 0.700388i | ||||
\(331\) | −7.08194 | + | 7.08194i | −0.389259 | + | 0.389259i | −0.874423 | − | 0.485164i | \(-0.838760\pi\) |
0.485164 | + | 0.874423i | \(0.338760\pi\) | |||||||
\(332\) | 0.832596 | + | 3.10729i | 0.0456947 | + | 0.170535i | ||||
\(333\) | −10.0605 | − | 20.3318i | −0.551312 | − | 1.11418i | ||||
\(334\) | −10.6480 | + | 18.4429i | −0.582635 | + | 1.00915i | ||||
\(335\) | −3.58486 | + | 6.20917i | −0.195862 | + | 0.339243i | ||||
\(336\) | −1.83978 | − | 2.56378i | −0.100368 | − | 0.139866i | ||||
\(337\) | 22.4686 | + | 12.9723i | 1.22395 | + | 0.706645i | 0.965757 | − | 0.259449i | \(-0.0835411\pi\) |
0.258188 | + | 0.966095i | \(0.416874\pi\) | |||||||
\(338\) | 8.28667 | + | 11.7068i | 0.450735 | + | 0.636768i | ||||
\(339\) | 4.32465 | + | 3.54429i | 0.234883 | + | 0.192500i | ||||
\(340\) | −1.27737 | − | 4.76721i | −0.0692751 | − | 0.258538i | ||||
\(341\) | −2.19931 | + | 1.26977i | −0.119099 | + | 0.0687619i | ||||
\(342\) | 13.3549 | + | 4.51340i | 0.722151 | + | 0.244057i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | −14.7799 | − | 14.7799i | −0.796880 | − | 0.796880i | ||||
\(345\) | 31.7004 | + | 44.1752i | 1.70669 | + | 2.37831i | ||||
\(346\) | 1.95292 | − | 0.523282i | 0.104989 | − | 0.0281318i | ||||
\(347\) | −14.2368 | + | 8.21961i | −0.764271 | + | 0.441252i | −0.830827 | − | 0.556531i | \(-0.812132\pi\) |
0.0665564 | + | 0.997783i | \(0.478799\pi\) | |||||||
\(348\) | 0.266868 | + | 0.707610i | 0.0143056 | + | 0.0379319i | ||||
\(349\) | −32.5155 | + | 8.71250i | −1.74051 | + | 0.466369i | −0.982561 | − | 0.185940i | \(-0.940467\pi\) |
−0.757953 | + | 0.652309i | \(0.773800\pi\) | |||||||
\(350\) | −15.6192 | −0.834884 | ||||||||
\(351\) | 16.6727 | − | 8.54531i | 0.889921 | − | 0.456115i | ||||
\(352\) | 6.89563 | 0.367538 | ||||||||
\(353\) | −19.6186 | + | 5.25678i | −1.04419 | + | 0.279790i | −0.739849 | − | 0.672773i | \(-0.765103\pi\) |
−0.304342 | + | 0.952563i | \(0.598437\pi\) | |||||||
\(354\) | −1.89646 | − | 5.02854i | −0.100796 | − | 0.267264i | ||||
\(355\) | −52.0279 | + | 30.0383i | −2.76136 | + | 1.59427i | ||||
\(356\) | 3.58751 | − | 0.961271i | 0.190138 | − | 0.0509473i | ||||
\(357\) | −1.45477 | − | 2.02726i | −0.0769946 | − | 0.107294i | ||||
\(358\) | 5.60824 | + | 5.60824i | 0.296405 | + | 0.296405i | ||||
\(359\) | 14.0276 | − | 14.0276i | 0.740351 | − | 0.740351i | −0.232294 | − | 0.972646i | \(-0.574623\pi\) |
0.972646 | + | 0.232294i | \(0.0746233\pi\) | |||||||
\(360\) | 7.91778 | + | 39.5280i | 0.417304 | + | 2.08331i | ||||
\(361\) | 0.745383 | − | 0.430347i | 0.0392307 | − | 0.0226499i | ||||
\(362\) | −6.29832 | − | 23.5057i | −0.331032 | − | 1.23543i | ||||
\(363\) | 11.0019 | + | 9.01671i | 0.577452 | + | 0.473255i | ||||
\(364\) | 2.15726 | − | 1.81957i | 0.113071 | − | 0.0953713i | ||||
\(365\) | −28.0733 | − | 16.2082i | −1.46943 | − | 0.848373i | ||||
\(366\) | −9.50072 | − | 13.2395i | −0.496610 | − | 0.692038i | ||||
\(367\) | −5.69270 | + | 9.86004i | −0.297157 | + | 0.514690i | −0.975484 | − | 0.220069i | \(-0.929372\pi\) |
0.678328 | + | 0.734759i | \(0.262705\pi\) | |||||||
\(368\) | −6.53351 | + | 11.3164i | −0.340583 | + | 0.589907i | ||||
\(369\) | 9.67441 | + | 0.621056i | 0.503629 | + | 0.0323309i | ||||
\(370\) | −9.45071 | − | 35.2705i | −0.491319 | − | 1.83363i | ||||
\(371\) | −9.59234 | + | 9.59234i | −0.498010 | + | 0.498010i | ||||
\(372\) | −0.849827 | + | 1.87896i | −0.0440615 | + | 0.0974195i | ||||
\(373\) | −16.6931 | − | 28.9134i | −0.864338 | − | 1.49708i | −0.867703 | − | 0.497083i | \(-0.834404\pi\) |
0.00336468 | − | 0.999994i | \(-0.498929\pi\) | |||||||
\(374\) | −2.65360 | −0.137215 | ||||||||
\(375\) | 63.2489 | + | 28.6066i | 3.26616 | + | 1.47724i | ||||
\(376\) | 25.5559 | − | 14.7547i | 1.31795 | − | 0.760917i | ||||
\(377\) | 1.82066 | − | 0.854657i | 0.0937688 | − | 0.0440171i | ||||
\(378\) | 3.03716 | + | 4.86230i | 0.156215 | + | 0.250090i | ||||
\(379\) | 29.9746 | + | 8.03166i | 1.53969 | + | 0.412559i | 0.926165 | − | 0.377118i | \(-0.123085\pi\) |
0.613524 | + | 0.789676i | \(0.289751\pi\) | |||||||
\(380\) | −12.6361 | − | 7.29546i | −0.648219 | − | 0.374249i | ||||
\(381\) | −4.36065 | − | 3.57380i | −0.223403 | − | 0.183091i | ||||
\(382\) | 5.48236 | + | 20.4604i | 0.280502 | + | 1.04685i | ||||
\(383\) | 4.95610 | − | 18.4964i | 0.253245 | − | 0.945123i | −0.715814 | − | 0.698291i | \(-0.753944\pi\) |
0.969058 | − | 0.246831i | \(-0.0793893\pi\) | |||||||
\(384\) | −1.10788 | + | 0.795018i | −0.0565360 | + | 0.0405706i | ||||
\(385\) | 1.89126 | − | 7.05829i | 0.0963877 | − | 0.359724i | ||||
\(386\) | 9.24314 | + | 5.33653i | 0.470464 | + | 0.271622i | ||||
\(387\) | 13.4872 | + | 15.3376i | 0.685591 | + | 0.779654i | ||||
\(388\) | 2.46581 | − | 9.20254i | 0.125183 | − | 0.467188i | ||||
\(389\) | 8.66010 | + | 14.9997i | 0.439084 | + | 0.760516i | 0.997619 | − | 0.0689647i | \(-0.0219696\pi\) |
−0.558535 | + | 0.829481i | \(0.688636\pi\) | |||||||
\(390\) | 29.0162 | − | 8.21612i | 1.46929 | − | 0.416039i | ||||
\(391\) | −5.16623 | + | 8.94818i | −0.261268 | + | 0.452529i | ||||
\(392\) | 2.17095 | + | 2.17095i | 0.109649 | + | 0.109649i | ||||
\(393\) | 5.09229 | − | 30.9729i | 0.256872 | − | 1.56237i | ||||
\(394\) | − | 10.6430i | − | 0.536187i | ||||||
\(395\) | −14.8905 | − | 14.8905i | −0.749221 | − | 0.749221i | ||||
\(396\) | −3.91231 | − | 0.251153i | −0.196601 | − | 0.0126209i | ||||
\(397\) | −6.59114 | + | 1.76609i | −0.330800 | + | 0.0886376i | −0.420396 | − | 0.907341i | \(-0.638109\pi\) |
0.0895964 | + | 0.995978i | \(0.471442\pi\) | |||||||
\(398\) | 13.2017 | + | 3.53738i | 0.661741 | + | 0.177313i | ||||
\(399\) | −7.27912 | − | 1.19677i | −0.364412 | − | 0.0599135i | ||||
\(400\) | 25.7921i | 1.28960i | ||||||||
\(401\) | 0.646610 | − | 0.646610i | 0.0322902 | − | 0.0322902i | −0.690777 | − | 0.723068i | \(-0.742732\pi\) |
0.723068 | + | 0.690777i | \(0.242732\pi\) | |||||||
\(402\) | 3.08890 | + | 0.507850i | 0.154060 | + | 0.0253293i | ||||
\(403\) | 5.15847 | + | 1.86262i | 0.256962 | + | 0.0927837i | ||||
\(404\) | 2.56032i | 0.127381i | ||||||||
\(405\) | −5.24646 | − | 39.0407i | −0.260698 | − | 1.93995i | ||||
\(406\) | 0.307726 | + | 0.532998i | 0.0152722 | + | 0.0264522i | ||||
\(407\) | 12.6243 | 0.625762 | ||||||||
\(408\) | −6.22405 | + | 4.46641i | −0.308136 | + | 0.221120i | ||||
\(409\) | −3.40615 | − | 0.912674i | −0.168423 | − | 0.0451288i | 0.173622 | − | 0.984812i | \(-0.444453\pi\) |
−0.342045 | + | 0.939684i | \(0.611120\pi\) | |||||||
\(410\) | 15.0729 | + | 4.03876i | 0.744395 | + | 0.199460i | ||||
\(411\) | 27.3664 | + | 12.3774i | 1.34988 | + | 0.610533i | ||||
\(412\) | 8.29222 | 0.408528 | ||||||||
\(413\) | 1.40616 | + | 2.43554i | 0.0691926 | + | 0.119845i | ||||
\(414\) | 13.1624 | − | 19.7563i | 0.646899 | − | 0.970971i | ||||
\(415\) | − | 17.9883i | − | 0.883010i | ||||||
\(416\) | −9.60147 | − | 11.3834i | −0.470751 | − | 0.558118i | ||||
\(417\) | 6.59911 | − | 8.05205i | 0.323160 | − | 0.394311i | ||||
\(418\) | −5.54732 | + | 5.54732i | −0.271328 | + | 0.271328i | ||||
\(419\) | 19.6849i | 0.961669i | 0.876811 | + | 0.480834i | \(0.159666\pi\) | ||||
−0.876811 | + | 0.480834i | \(0.840334\pi\) | |||||||
\(420\) | −2.09391 | − | 5.55208i | −0.102172 | − | 0.270914i | ||||
\(421\) | −20.4505 | − | 5.47970i | −0.996698 | − | 0.267064i | −0.276636 | − | 0.960975i | \(-0.589220\pi\) |
−0.720061 | + | 0.693910i | \(0.755886\pi\) | |||||||
\(422\) | −0.471433 | + | 0.126320i | −0.0229490 | + | 0.00614917i | ||||
\(423\) | −25.8441 | + | 12.7880i | −1.25658 | + | 0.621775i | ||||
\(424\) | 29.4503 | + | 29.4503i | 1.43023 | + | 1.43023i | ||||
\(425\) | 20.3946i | 0.989281i | ||||||||
\(426\) | 20.2872 | + | 16.6265i | 0.982920 | + | 0.805559i | ||||
\(427\) | 6.02978 | + | 6.02978i | 0.291801 | + | 0.291801i | ||||
\(428\) | 1.73213 | − | 3.00013i | 0.0837256 | − | 0.145017i | ||||
\(429\) | 0.147356 | + | 10.4252i | 0.00711440 | + | 0.503332i | ||||
\(430\) | 16.4380 | + | 28.4714i | 0.792709 | + | 1.37301i | ||||
\(431\) | 1.75651 | − | 6.55539i | 0.0846081 | − | 0.315762i | −0.910632 | − | 0.413219i | \(-0.864404\pi\) |
0.995240 | + | 0.0974574i | \(0.0310710\pi\) | |||||||
\(432\) | 8.02913 | − | 5.01528i | 0.386302 | − | 0.241298i | ||||
\(433\) | −18.1914 | − | 10.5028i | −0.874222 | − | 0.504732i | −0.00547279 | − | 0.999985i | \(-0.501742\pi\) |
−0.868749 | + | 0.495253i | \(0.835075\pi\) | |||||||
\(434\) | −0.434361 | + | 1.62106i | −0.0208500 | + | 0.0778133i | ||||
\(435\) | −0.417325 | − | 4.20822i | −0.0200092 | − | 0.201769i | ||||
\(436\) | −1.55399 | + | 5.79956i | −0.0744225 | + | 0.277749i | ||||
\(437\) | 7.90611 | + | 29.5060i | 0.378200 | + | 1.41146i | ||||
\(438\) | −2.29613 | + | 13.9658i | −0.109713 | + | 0.667310i | ||||
\(439\) | −5.49051 | − | 3.16995i | −0.262048 | − | 0.151293i | 0.363220 | − | 0.931703i | \(-0.381677\pi\) |
−0.625268 | + | 0.780410i | \(0.715011\pi\) | |||||||
\(440\) | −21.6703 | − | 5.80653i | −1.03309 | − | 0.276816i | ||||
\(441\) | −1.98106 | − | 2.25286i | −0.0943363 | − | 0.107279i | ||||
\(442\) | 3.69488 | + | 4.38061i | 0.175747 | + | 0.208364i | ||||
\(443\) | −6.12738 | + | 3.53764i | −0.291120 | + | 0.168078i | −0.638447 | − | 0.769666i | \(-0.720423\pi\) |
0.347327 | + | 0.937744i | \(0.387090\pi\) | |||||||
\(444\) | 8.32881 | − | 5.97681i | 0.395268 | − | 0.283647i | ||||
\(445\) | −20.7683 | −0.984512 | ||||||||
\(446\) | 6.41783 | + | 11.1160i | 0.303893 | + | 0.526358i | ||||
\(447\) | −38.5591 | + | 3.82387i | −1.82378 | + | 0.180863i | ||||
\(448\) | 5.79878 | − | 5.79878i | 0.273967 | − | 0.273967i | ||||
\(449\) | 5.35701 | + | 19.9927i | 0.252813 | + | 0.943512i | 0.969294 | + | 0.245905i | \(0.0790851\pi\) |
−0.716481 | + | 0.697607i | \(0.754248\pi\) | |||||||
\(450\) | 3.00189 | − | 46.7615i | 0.141510 | − | 2.20436i | ||||
\(451\) | −2.69749 | + | 4.67219i | −0.127020 | + | 0.220005i | ||||
\(452\) | −1.26342 | + | 2.18830i | −0.0594261 | + | 0.102929i | ||||
\(453\) | 1.12833 | − | 0.111895i | 0.0530135 | − | 0.00525730i | ||||
\(454\) | 16.6965 | + | 9.63974i | 0.783606 | + | 0.452415i | ||||
\(455\) | −14.2853 | + | 6.70583i | −0.669707 | + | 0.314374i | ||||
\(456\) | −3.67431 | + | 22.3483i | −0.172065 | + | 1.04655i | ||||
\(457\) | −2.98369 | − | 11.1353i | −0.139571 | − | 0.520887i | −0.999937 | − | 0.0112099i | \(-0.996432\pi\) |
0.860366 | − | 0.509677i | \(-0.170235\pi\) | |||||||
\(458\) | −4.11813 | + | 2.37760i | −0.192428 | + | 0.111098i | ||||
\(459\) | 6.34887 | − | 3.96572i | 0.296340 | − | 0.185104i | ||||
\(460\) | −17.3745 | + | 17.3745i | −0.810092 | + | 0.810092i | ||||
\(461\) | 11.2830 | + | 11.2830i | 0.525502 | + | 0.525502i | 0.919228 | − | 0.393726i | \(-0.128814\pi\) |
−0.393726 | + | 0.919228i | \(0.628814\pi\) | |||||||
\(462\) | −3.17485 | + | 0.314847i | −0.147708 | + | 0.0146480i | ||||
\(463\) | −29.8984 | + | 8.01126i | −1.38950 | + | 0.372315i | −0.874562 | − | 0.484914i | \(-0.838851\pi\) |
−0.514936 | + | 0.857229i | \(0.672184\pi\) | |||||||
\(464\) | 0.880140 | − | 0.508149i | 0.0408595 | − | 0.0235902i | ||||
\(465\) | 7.30948 | − | 8.91883i | 0.338969 | − | 0.413601i | ||||
\(466\) | −20.2569 | + | 5.42783i | −0.938385 | + | 0.251440i | ||||
\(467\) | 38.1491 | 1.76533 | 0.882665 | − | 0.470003i | \(-0.155747\pi\) | ||||
0.882665 | + | 0.470003i | \(0.155747\pi\) | |||||||
\(468\) | 5.03288 | + | 6.80820i | 0.232645 | + | 0.314709i | ||||
\(469\) | −1.63810 | −0.0756405 | ||||||||
\(470\) | −44.8328 | + | 12.0129i | −2.06798 | + | 0.554115i | ||||
\(471\) | 12.7275 | + | 2.09254i | 0.586451 | + | 0.0964193i | ||||
\(472\) | 7.47756 | − | 4.31717i | 0.344183 | − | 0.198714i | ||||
\(473\) | −10.9789 | + | 2.94180i | −0.504812 | + | 0.135264i | ||||
\(474\) | −3.78891 | + | 8.37725i | −0.174030 | + | 0.384780i | ||||
\(475\) | 42.6345 | + | 42.6345i | 1.95621 | + | 1.95621i | ||||
\(476\) | 0.797340 | − | 0.797340i | 0.0365460 | − | 0.0365460i | ||||
\(477\) | −26.8743 | − | 30.5615i | −1.23049 | − | 1.39931i | ||||
\(478\) | 6.96194 | − | 4.01948i | 0.318432 | − | 0.183847i | ||||
\(479\) | 9.94861 | + | 37.1287i | 0.454564 | + | 1.69646i | 0.689367 | + | 0.724412i | \(0.257889\pi\) |
−0.234803 | + | 0.972043i | \(0.575445\pi\) | |||||||
\(480\) | −29.2971 | + | 11.0491i | −1.33722 | + | 0.504320i | ||||
\(481\) | −17.5780 | − | 20.8403i | −0.801489 | − | 0.950237i | ||||
\(482\) | 6.02985 | + | 3.48134i | 0.274652 | + | 0.158571i | ||||
\(483\) | −5.11935 | + | 11.3188i | −0.232938 | + | 0.515025i | ||||
\(484\) | −3.21414 | + | 5.56706i | −0.146097 | + | 0.253048i | ||||
\(485\) | −26.6370 | + | 46.1366i | −1.20952 | + | 2.09496i | ||||
\(486\) | −15.1407 | + | 8.15828i | −0.686794 | + | 0.370067i | ||||
\(487\) | −10.4051 | − | 38.8325i | −0.471501 | − | 1.75967i | −0.634381 | − | 0.773020i | \(-0.718745\pi\) |
0.162880 | − | 0.986646i | \(-0.447922\pi\) | |||||||
\(488\) | 18.5125 | − | 18.5125i | 0.838023 | − | 0.838023i | ||||
\(489\) | 13.9443 | + | 19.4317i | 0.630585 | + | 0.878734i | ||||
\(490\) | −2.41449 | − | 4.18202i | −0.109076 | − | 0.188925i | ||||
\(491\) | 1.29279 | 0.0583427 | 0.0291713 | − | 0.999574i | \(-0.490713\pi\) | ||||
0.0291713 | + | 0.999574i | \(0.490713\pi\) | |||||||
\(492\) | 0.432333 | + | 4.35956i | 0.0194911 | + | 0.196544i | ||||
\(493\) | 0.695952 | − | 0.401808i | 0.0313441 | − | 0.0180965i | ||||
\(494\) | 16.8817 | + | 1.43351i | 0.759543 | + | 0.0644969i | ||||
\(495\) | 20.7679 | + | 7.01868i | 0.933448 | + | 0.315466i | ||||
\(496\) | 2.67686 | + | 0.717262i | 0.120194 | + | 0.0322060i | ||||
\(497\) | −11.8871 | − | 6.86300i | −0.533208 | − | 0.307848i | ||||
\(498\) | −7.34860 | + | 2.77145i | −0.329299 | + | 0.124192i | ||||
\(499\) | 3.43352 | + | 12.8141i | 0.153705 | + | 0.573636i | 0.999213 | + | 0.0396724i | \(0.0126314\pi\) |
−0.845507 | + | 0.533964i | \(0.820702\pi\) | |||||||
\(500\) | −8.11921 | + | 30.3013i | −0.363102 | + | 1.35512i | ||||
\(501\) | 30.4615 | + | 13.7773i | 1.36092 | + | 0.615525i | ||||
\(502\) | −1.50249 | + | 5.60735i | −0.0670592 | + | 0.250268i | ||||
\(503\) | 0.471803 | + | 0.272396i | 0.0210367 | + | 0.0121455i | 0.510481 | − | 0.859889i | \(-0.329467\pi\) |
−0.489445 | + | 0.872034i | \(0.662801\pi\) | |||||||
\(504\) | −6.91671 | + | 6.08223i | −0.308095 | + | 0.270924i | ||||
\(505\) | 3.70546 | − | 13.8289i | 0.164891 | − | 0.615380i | ||||
\(506\) | 6.60563 | + | 11.4413i | 0.293656 | + | 0.508627i | ||||
\(507\) | 17.0048 | − | 14.7592i | 0.755211 | − | 0.655481i | ||||
\(508\) | 1.27393 | − | 2.20652i | 0.0565217 | − | 0.0978984i | ||||
\(509\) | −3.79730 | − | 3.79730i | −0.168312 | − | 0.168312i | 0.617925 | − | 0.786237i | \(-0.287974\pi\) |
−0.786237 | + | 0.617925i | \(0.787974\pi\) | |||||||
\(510\) | 11.2742 | − | 4.25196i | 0.499231 | − | 0.188280i | ||||
\(511\) | − | 7.40631i | − | 0.327636i | ||||||
\(512\) | −13.2313 | − | 13.2313i | −0.584748 | − | 0.584748i | ||||
\(513\) | 4.98192 | − | 21.5625i | 0.219957 | − | 0.952008i | ||||
\(514\) | −13.8713 | + | 3.71681i | −0.611838 | + | 0.163942i | ||||
\(515\) | −44.7884 | − | 12.0010i | −1.97361 | − | 0.528828i | ||||
\(516\) | −5.85055 | + | 7.13868i | −0.257556 | + | 0.314263i | ||||
\(517\) | − | 16.0469i | − | 0.705741i | ||||||
\(518\) | 5.89917 | − | 5.89917i | 0.259195 | − | 0.259195i | ||||
\(519\) | −1.12003 | − | 2.96981i | −0.0491640 | − | 0.130360i | ||||
\(520\) | 20.5882 | + | 43.8586i | 0.902850 | + | 1.92333i | ||||
\(521\) | 23.4521i | 1.02746i | 0.857953 | + | 0.513728i | \(0.171736\pi\) | ||||
−0.857953 | + | 0.513728i | \(0.828264\pi\) | |||||||
\(522\) | −1.65485 | + | 0.818845i | −0.0724308 | + | 0.0358399i | ||||
\(523\) | −11.6560 | − | 20.1888i | −0.509682 | − | 0.882795i | −0.999937 | − | 0.0112161i | \(-0.996430\pi\) |
0.490255 | − | 0.871579i | \(-0.336904\pi\) | |||||||
\(524\) | 14.1848 | 0.619665 | ||||||||
\(525\) | 2.41979 | + | 24.4007i | 0.105608 | + | 1.06493i | ||||
\(526\) | −16.6384 | − | 4.45824i | −0.725468 | − | 0.194388i | ||||
\(527\) | 2.11667 | + | 0.567160i | 0.0922035 | + | 0.0247059i | ||||
\(528\) | 0.519907 | + | 5.24264i | 0.0226261 | + | 0.228157i | ||||
\(529\) | 28.4413 | 1.23658 | ||||||||
\(530\) | −32.7541 | − | 56.7317i | −1.42275 | − | 2.46427i | ||||
\(531\) | −7.56186 | + | 3.74172i | −0.328157 | + | 0.162377i | ||||
\(532\) | − | 3.33366i | − | 0.144532i | ||||||
\(533\) | 11.4689 | − | 2.05250i | 0.496774 | − | 0.0889036i | ||||
\(534\) | 3.19977 | + | 8.48430i | 0.138467 | + | 0.367152i | ||||
\(535\) | −13.6977 | + | 13.6977i | −0.592201 | + | 0.592201i | ||||
\(536\) | 5.02927i | 0.217232i | ||||||||
\(537\) | 7.89244 | − | 9.63014i | 0.340584 | − | 0.415571i | ||||
\(538\) | −7.09288 | − | 1.90053i | −0.305796 | − | 0.0819377i | ||||
\(539\) | 1.61264 | − | 0.432106i | 0.0694614 | − | 0.0186121i | ||||
\(540\) | 17.0244 | − | 5.20176i | 0.732615 | − | 0.223848i | ||||
\(541\) | −22.7830 | − | 22.7830i | −0.979516 | − | 0.979516i | 0.0202784 | − | 0.999794i | \(-0.493545\pi\) |
−0.999794 | + | 0.0202784i | \(0.993545\pi\) | |||||||
\(542\) | 18.1961i | 0.781589i | ||||||||
\(543\) | −35.7452 | + | 13.4809i | −1.53397 | + | 0.578522i | ||||
\(544\) | −4.20739 | − | 4.20739i | −0.180391 | − | 0.180391i | ||||
\(545\) | 16.7870 | − | 29.0759i | 0.719075 | − | 1.24548i | ||||
\(546\) | 4.94042 | + | 4.80270i | 0.211430 | + | 0.205537i | ||||
\(547\) | −7.49651 | − | 12.9843i | −0.320528 | − | 0.555170i | 0.660069 | − | 0.751205i | \(-0.270527\pi\) |
−0.980597 | + | 0.196035i | \(0.937194\pi\) | |||||||
\(548\) | −3.51300 | + | 13.1107i | −0.150068 | + | 0.560061i | ||||
\(549\) | −19.2110 | + | 16.8933i | −0.819907 | + | 0.720988i | ||||
\(550\) | 22.5832 | + | 13.0384i | 0.962949 | + | 0.555959i | ||||
\(551\) | 0.614904 | − | 2.29485i | 0.0261958 | − | 0.0977640i | ||||
\(552\) | 34.7509 | + | 15.7174i | 1.47910 | + | 0.668975i | ||||
\(553\) | 1.24525 | − | 4.64735i | 0.0529536 | − | 0.197625i | ||||
\(554\) | 0.583213 | + | 2.17658i | 0.0247783 | + | 0.0924740i | ||||
\(555\) | −53.6361 | + | 20.2283i | −2.27673 | + | 0.858643i | ||||
\(556\) | 4.07439 | + | 2.35235i | 0.172793 | + | 0.0997619i | ||||
\(557\) | −35.4227 | − | 9.49148i | −1.50091 | − | 0.402167i | −0.587503 | − | 0.809222i | \(-0.699889\pi\) |
−0.913404 | + | 0.407055i | \(0.866556\pi\) | |||||||
\(558\) | −4.76971 | − | 1.61196i | −0.201918 | − | 0.0682398i | ||||
\(559\) | 20.1434 | + | 14.0280i | 0.851976 | + | 0.593323i | ||||
\(560\) | −6.90578 | + | 3.98706i | −0.291823 | + | 0.168484i | ||||
\(561\) | 0.411106 | + | 4.14551i | 0.0173569 | + | 0.175023i | ||||
\(562\) | 0.355771 | 0.0150073 | ||||||||
\(563\) | −17.3521 | − | 30.0547i | −0.731302 | − | 1.26665i | −0.956327 | − | 0.292300i | \(-0.905580\pi\) |
0.225024 | − | 0.974353i | \(-0.427754\pi\) | |||||||
\(564\) | −7.59720 | − | 10.5869i | −0.319900 | − | 0.445787i | ||||
\(565\) | 9.99108 | − | 9.99108i | 0.420328 | − | 0.420328i | ||||
\(566\) | 8.91358 | + | 33.2659i | 0.374666 | + | 1.39827i | ||||
\(567\) | 7.12545 | − | 5.49800i | 0.299241 | − | 0.230894i | ||||
\(568\) | −21.0707 | + | 36.4955i | −0.884106 | + | 1.53132i | ||||
\(569\) | −0.539044 | + | 0.933652i | −0.0225979 | + | 0.0391407i | −0.877103 | − | 0.480302i | \(-0.840527\pi\) |
0.854505 | + | 0.519443i | \(0.173860\pi\) | |||||||
\(570\) | 14.6800 | − | 32.4573i | 0.614876 | − | 1.35949i | ||||
\(571\) | −22.8151 | − | 13.1723i | −0.954784 | − | 0.551245i | −0.0602200 | − | 0.998185i | \(-0.519180\pi\) |
−0.894564 | + | 0.446940i | \(0.852514\pi\) | |||||||
\(572\) | −4.63800 | + | 0.830025i | −0.193924 | + | 0.0347051i | ||||
\(573\) | 31.1143 | − | 11.7344i | 1.29982 | − | 0.490214i | ||||
\(574\) | 0.922755 | + | 3.44377i | 0.0385150 | + | 0.143740i | ||||
\(575\) | 87.9332 | − | 50.7682i | 3.66707 | − | 2.11718i | ||||
\(576\) | 16.2461 | + | 18.4751i | 0.676922 | + | 0.769795i | ||||
\(577\) | −6.14203 | + | 6.14203i | −0.255696 | + | 0.255696i | −0.823301 | − | 0.567605i | \(-0.807870\pi\) |
0.567605 | + | 0.823301i | \(0.307870\pi\) | |||||||
\(578\) | −11.6435 | − | 11.6435i | −0.484304 | − | 0.484304i | ||||
\(579\) | 6.90484 | − | 15.2666i | 0.286955 | − | 0.634456i | ||||
\(580\) | 1.84594 | − | 0.494617i | 0.0766484 | − | 0.0205379i | ||||
\(581\) | 3.55925 | − | 2.05493i | 0.147663 | − | 0.0852530i | ||||
\(582\) | 22.9518 | + | 3.77353i | 0.951381 | + | 0.156418i | ||||
\(583\) | 21.8765 | − | 5.86179i | 0.906032 | − | 0.242770i | ||||
\(584\) | −22.7387 | −0.940935 | ||||||||
\(585\) | −17.3307 | − | 44.0568i | −0.716535 | − | 1.82152i | ||||
\(586\) | 1.11666 | 0.0461289 | ||||||||
\(587\) | 2.66127 | − | 0.713084i | 0.109842 | − | 0.0294321i | −0.203479 | − | 0.979079i | \(-0.565225\pi\) |
0.313321 | + | 0.949647i | \(0.398558\pi\) | |||||||
\(588\) | 0.859358 | − | 1.04857i | 0.0354393 | − | 0.0432421i | ||||
\(589\) | 5.61051 | − | 3.23923i | 0.231177 | − | 0.133470i | ||||
\(590\) | −13.1179 | + | 3.51493i | −0.540055 | + | 0.144707i | ||||
\(591\) | −16.6267 | + | 1.64885i | −0.683931 | + | 0.0678248i | ||||
\(592\) | −9.74132 | − | 9.74132i | −0.400366 | − | 0.400366i | ||||
\(593\) | −25.0827 | + | 25.0827i | −1.03002 | + | 1.03002i | −0.0304872 | + | 0.999535i | \(0.509706\pi\) |
−0.999535 | + | 0.0304872i | \(0.990294\pi\) | |||||||
\(594\) | −0.332421 | − | 9.56550i | −0.0136394 | − | 0.392477i | ||||
\(595\) | −5.46060 | + | 3.15268i | −0.223863 | + | 0.129247i | ||||
\(596\) | −4.53208 | − | 16.9140i | −0.185641 | − | 0.692823i | ||||
\(597\) | 3.48091 | − | 21.1719i | 0.142464 | − | 0.866510i | ||||
\(598\) | 9.68977 | − | 26.8355i | 0.396244 | − | 1.09739i | ||||
\(599\) | 27.7347 | + | 16.0127i | 1.13321 | + | 0.654260i | 0.944740 | − | 0.327819i | \(-0.106314\pi\) |
0.188471 | + | 0.982079i | \(0.439647\pi\) | |||||||
\(600\) | 74.9146 | − | 7.42920i | 3.05837 | − | 0.303296i | ||||
\(601\) | −4.73260 | + | 8.19710i | −0.193047 | + | 0.334367i | −0.946258 | − | 0.323411i | \(-0.895170\pi\) |
0.753212 | + | 0.657778i | \(0.228504\pi\) | |||||||
\(602\) | −3.75566 | + | 6.50500i | −0.153069 | + | 0.265124i | ||||
\(603\) | 0.314829 | − | 4.90421i | 0.0128208 | − | 0.199715i | ||||
\(604\) | 0.132619 | + | 0.494942i | 0.00539621 | + | 0.0201389i | ||||
\(605\) | 25.4174 | − | 25.4174i | 1.03336 | − | 1.03336i | ||||
\(606\) | −6.22032 | + | 0.616863i | −0.252683 | + | 0.0250584i | ||||
\(607\) | −1.00553 | − | 1.74164i | −0.0408134 | − | 0.0706909i | 0.844897 | − | 0.534929i | \(-0.179662\pi\) |
−0.885711 | + | 0.464238i | \(0.846328\pi\) | |||||||
\(608\) | −17.5910 | −0.713409 | ||||||||
\(609\) | 0.784984 | − | 0.563309i | 0.0318092 | − | 0.0228265i | ||||
\(610\) | −35.6617 | + | 20.5893i | −1.44390 | + | 0.833637i | ||||
\(611\) | −26.4904 | + | 22.3437i | −1.07169 | + | 0.903928i | ||||
\(612\) | 2.23386 | + | 2.54035i | 0.0902986 | + | 0.102688i | ||||
\(613\) | −7.49754 | − | 2.00896i | −0.302823 | − | 0.0811412i | 0.104208 | − | 0.994556i | \(-0.466769\pi\) |
−0.407031 | + | 0.913414i | \(0.633436\pi\) | |||||||
\(614\) | −8.52315 | − | 4.92084i | −0.343966 | − | 0.198589i | ||||
\(615\) | 3.97428 | − | 24.1728i | 0.160259 | − | 0.974741i | ||||
\(616\) | −1.32665 | − | 4.95111i | −0.0534521 | − | 0.199486i | ||||
\(617\) | 3.03180 | − | 11.3148i | 0.122055 | − | 0.455517i | −0.877662 | − | 0.479280i | \(-0.840898\pi\) |
0.999718 | + | 0.0237625i | \(0.00756456\pi\) | |||||||
\(618\) | 1.99786 | + | 20.1460i | 0.0803658 | + | 0.810392i | ||||
\(619\) | 11.6285 | − | 43.3980i | 0.467387 | − | 1.74431i | −0.181465 | − | 0.983397i | \(-0.558084\pi\) |
0.648852 | − | 0.760915i | \(-0.275250\pi\) | |||||||
\(620\) | 4.51299 | + | 2.60557i | 0.181246 | + | 0.104642i | ||||
\(621\) | −32.9029 | − | 17.5019i | −1.32035 | − | 0.702326i | ||||
\(622\) | −4.77467 | + | 17.8193i | −0.191447 | + | 0.714490i | ||||
\(623\) | −2.37252 | − | 4.10932i | −0.0950529 | − | 0.164636i | ||||
\(624\) | 7.93071 | − | 8.15812i | 0.317482 | − | 0.326586i | ||||
\(625\) | 52.3159 | − | 90.6137i | 2.09263 | − | 3.62455i | ||||
\(626\) | −5.57360 | − | 5.57360i | −0.222766 | − | 0.222766i | ||||
\(627\) | 9.52554 | + | 7.80671i | 0.380413 | + | 0.311770i | ||||
\(628\) | 5.82887i | 0.232597i | ||||||||
\(629\) | −7.70274 | − | 7.70274i | −0.307128 | − | 0.307128i | ||||
\(630\) | 12.9843 | − | 6.42485i | 0.517309 | − | 0.255972i | ||||
\(631\) | 4.38587 | − | 1.17519i | 0.174599 | − | 0.0467836i | −0.170460 | − | 0.985365i | \(-0.554525\pi\) |
0.345059 | + | 0.938581i | \(0.387859\pi\) | |||||||
\(632\) | −14.2682 | − | 3.82316i | −0.567559 | − | 0.152077i | ||||
\(633\) | 0.270376 | + | 0.716911i | 0.0107465 | + | 0.0284947i | ||||
\(634\) | 17.1234i | 0.680058i | ||||||||
\(635\) | −10.0743 | + | 10.0743i | −0.399785 | + | 0.399785i | ||||
\(636\) | 11.6577 | − | 14.2244i | 0.462259 | − | 0.564036i | ||||
\(637\) | −2.95877 | − | 2.06051i | −0.117231 | − | 0.0816403i | ||||
\(638\) | − | 1.02752i | − | 0.0406798i | ||||||
\(639\) | 22.8313 | − | 34.2689i | 0.903193 | − | 1.35566i | ||||
\(640\) | 1.72291 | + | 2.98417i | 0.0681040 | + | 0.117960i | ||||
\(641\) | 24.2485 | 0.957759 | 0.478879 | − | 0.877881i | \(-0.341043\pi\) | ||||
0.478879 | + | 0.877881i | \(0.341043\pi\) | |||||||
\(642\) | 7.70618 | + | 3.48540i | 0.304139 | + | 0.137558i | ||||
\(643\) | −6.39195 | − | 1.71272i | −0.252074 | − | 0.0675430i | 0.130569 | − | 0.991439i | \(-0.458319\pi\) |
−0.382643 | + | 0.923896i | \(0.624986\pi\) | |||||||
\(644\) | −5.42263 | − | 1.45299i | −0.213682 | − | 0.0572558i | ||||
\(645\) | 41.9319 | − | 30.0906i | 1.65107 | − | 1.18482i | ||||
\(646\) | 6.76943 | 0.266340 | ||||||||
\(647\) | 13.6611 | + | 23.6617i | 0.537073 | + | 0.930237i | 0.999060 | + | 0.0433505i | \(0.0138032\pi\) |
−0.461987 | + | 0.886887i | \(0.652863\pi\) | |||||||
\(648\) | −16.8799 | − | 21.8764i | −0.663104 | − | 0.859388i | ||||
\(649\) | − | 4.69525i | − | 0.184305i | ||||||
\(650\) | −9.92080 | − | 55.4353i | −0.389126 | − | 2.17435i | ||||
\(651\) | 2.59974 | + | 0.427427i | 0.101892 | + | 0.0167522i | ||||
\(652\) | −7.64270 | + | 7.64270i | −0.299311 | + | 0.299311i | ||||
\(653\) | − | 25.5764i | − | 1.00088i | −0.865770 | − | 0.500442i | \(-0.833171\pi\) | ||
0.865770 | − | 0.500442i | \(-0.166829\pi\) | |||||||
\(654\) | −14.4645 | − | 2.37813i | −0.565607 | − | 0.0929922i | ||||
\(655\) | −76.6157 | − | 20.5291i | −2.99363 | − | 0.802139i | ||||
\(656\) | 5.68670 | − | 1.52375i | 0.222028 | − | 0.0594923i | ||||
\(657\) | 22.1733 | + | 1.42343i | 0.865062 | + | 0.0555333i | ||||
\(658\) | −7.49852 | − | 7.49852i | −0.292323 | − | 0.292323i | ||||
\(659\) | − | 20.9446i | − | 0.815887i | −0.913007 | − | 0.407944i | \(-0.866246\pi\) | ||
0.913007 | − | 0.407944i | \(-0.133754\pi\) | |||||||
\(660\) | −1.60719 | + | 9.77542i | −0.0625598 | + | 0.380508i | ||||
\(661\) | 27.4529 | + | 27.4529i | 1.06779 | + | 1.06779i | 0.997528 | + | 0.0702650i | \(0.0223845\pi\) |
0.0702650 | + | 0.997528i | \(0.477616\pi\) | |||||||
\(662\) | 5.52499 | − | 9.56956i | 0.214735 | − | 0.371931i | ||||
\(663\) | 6.27104 | − | 6.45086i | 0.243547 | − | 0.250531i | ||||
\(664\) | −6.30903 | − | 10.9276i | −0.244838 | − | 0.424071i | ||||
\(665\) | −4.82468 | + | 18.0059i | −0.187093 | + | 0.698241i | ||||
\(666\) | 16.5274 | + | 18.7949i | 0.640424 | + | 0.728289i | ||||
\(667\) | −3.46487 | − | 2.00045i | −0.134160 | − | 0.0774576i | ||||
\(668\) | −3.91032 | + | 14.5935i | −0.151295 | + | 0.564640i | ||||
\(669\) | 16.3714 | − | 11.7482i | 0.632953 | − | 0.454211i | ||||
\(670\) | 2.04735 | − | 7.64083i | 0.0790962 | − | 0.295191i | ||||
\(671\) | −3.68474 | − | 13.7516i | −0.142248 | − | 0.530876i | ||||
\(672\) | −5.53306 | − | 4.53465i | −0.213442 | − | 0.174928i | ||||
\(673\) | −19.0064 | − | 10.9733i | −0.732641 | − | 0.422991i | 0.0867464 | − | 0.996230i | \(-0.472353\pi\) |
−0.819388 | + | 0.573240i | \(0.805686\pi\) | |||||||
\(674\) | −27.6493 | − | 7.40861i | −1.06501 | − | 0.285369i | ||||
\(675\) | −73.5167 | + | 2.55485i | −2.82966 | + | 0.0983364i | ||||
\(676\) | 7.82816 | + | 6.50075i | 0.301083 | + | 0.250029i | ||||
\(677\) | −6.12331 | + | 3.53529i | −0.235338 | + | 0.135872i | −0.613032 | − | 0.790058i | \(-0.710050\pi\) |
0.377694 | + | 0.925930i | \(0.376717\pi\) | |||||||
\(678\) | −5.62090 | − | 2.54225i | −0.215869 | − | 0.0976345i | ||||
\(679\) | −12.1718 | −0.467109 | ||||||||
\(680\) | 9.67931 | + | 16.7651i | 0.371185 | + | 0.642911i | ||||
\(681\) | 12.4727 | − | 27.5770i | 0.477954 | − | 1.05675i | ||||
\(682\) | 1.98123 | − | 1.98123i | 0.0758651 | − | 0.0758651i | ||||
\(683\) | −0.800438 | − | 2.98728i | −0.0306279 | − | 0.114305i | 0.948920 | − | 0.315518i | \(-0.102178\pi\) |
−0.979547 | + | 0.201213i | \(0.935512\pi\) | |||||||
\(684\) | 9.98043 | + | 0.640701i | 0.381611 | + | 0.0244978i | ||||
\(685\) | 37.9492 | − | 65.7300i | 1.44997 | − | 2.51141i | ||||
\(686\) | 0.551650 | − | 0.955487i | 0.0210621 | − | 0.0364806i | ||||
\(687\) | 4.35233 | + | 6.06507i | 0.166052 | + | 0.231397i | ||||
\(688\) | 10.7417 | + | 6.20173i | 0.409524 | + | 0.236439i | ||||
\(689\) | −40.1375 | − | 27.9521i | −1.52912 | − | 1.06489i | ||||
\(690\) | −46.3977 | − | 38.0256i | −1.76633 | − | 1.44761i | ||||
\(691\) | −2.30815 | − | 8.61414i | −0.0878062 | − | 0.327697i | 0.908025 | − | 0.418917i | \(-0.137590\pi\) |
−0.995831 | + | 0.0912196i | \(0.970923\pi\) | |||||||
\(692\) | 1.24219 | − | 0.717177i | 0.0472209 | − | 0.0272630i | ||||
\(693\) | 0.983719 | + | 4.91103i | 0.0373684 | + | 0.186555i | ||||
\(694\) | 12.8251 | − | 12.8251i | 0.486833 | − | 0.486833i | ||||
\(695\) | −18.6024 | − | 18.6024i | −0.705628 | − | 0.705628i | ||||
\(696\) | −1.72946 | − | 2.41005i | −0.0655552 | − | 0.0913526i | ||||
\(697\) | 4.49664 | − | 1.20487i | 0.170322 | − | 0.0456377i | ||||
\(698\) | 32.1641 | − | 18.5699i | 1.21743 | − | 0.702882i | ||||
\(699\) | 11.6177 | + | 30.8049i | 0.439423 | + | 1.16515i | ||||
\(700\) | −10.7034 | + | 2.86796i | −0.404549 | + | 0.108399i | ||||
\(701\) | 52.4503 | 1.98102 | 0.990510 | − | 0.137442i | \(-0.0438879\pi\) | ||||
0.990510 | + | 0.137442i | \(0.0438879\pi\) | |||||||
\(702\) | −15.3280 | + | 13.8678i | −0.578518 | + | 0.523405i | ||||
\(703\) | −32.2049 | −1.21463 | ||||||||
\(704\) | −13.2248 | + | 3.54358i | −0.498429 | + | 0.133554i | ||||
\(705\) | 25.7125 | + | 68.1775i | 0.968387 | + | 2.56771i | ||||
\(706\) | 19.4065 | − | 11.2044i | 0.730375 | − | 0.421682i | ||||
\(707\) | 3.15956 | − | 0.846603i | 0.118828 | − | 0.0318398i | ||||
\(708\) | −2.22291 | − | 3.09767i | −0.0835420 | − | 0.116418i | ||||
\(709\) | −2.17472 | − | 2.17472i | −0.0816733 | − | 0.0816733i | 0.665090 | − | 0.746763i | \(-0.268393\pi\) |
−0.746763 | + | 0.665090i | \(0.768393\pi\) | |||||||
\(710\) | 46.8689 | − | 46.8689i | 1.75896 | − | 1.75896i | ||||
\(711\) | 13.6741 | + | 4.62127i | 0.512818 | + | 0.173311i | ||||
\(712\) | −12.6164 | + | 7.28407i | −0.472819 | + | 0.272982i | ||||
\(713\) | −2.82367 | − | 10.5381i | −0.105747 | − | 0.394654i | ||||
\(714\) | 2.12925 | + | 1.74504i | 0.0796852 | + | 0.0653066i | ||||
\(715\) | 26.2523 | + | 2.22922i | 0.981781 | + | 0.0833683i | ||||
\(716\) | 4.87292 | + | 2.81338i | 0.182109 | + | 0.105141i | ||||
\(717\) | −7.35786 | − | 10.2533i | −0.274784 | − | 0.382918i | ||||
\(718\) | −10.9437 | + | 18.9550i | −0.408415 | + | 0.707395i | ||||
\(719\) | −8.32833 | + | 14.4251i | −0.310594 | + | 0.537965i | −0.978491 | − | 0.206289i | \(-0.933861\pi\) |
0.667897 | + | 0.744254i | \(0.267195\pi\) | |||||||
\(720\) | −10.6094 | − | 21.4411i | −0.395388 | − | 0.799062i | ||||
\(721\) | −2.74193 | − | 10.2330i | −0.102115 | − | 0.381098i | ||||
\(722\) | −0.671472 | + | 0.671472i | −0.0249896 | + | 0.0249896i | ||||
\(723\) | 4.50444 | − | 9.95928i | 0.167522 | − | 0.370390i | ||||
\(724\) | −8.63208 | − | 14.9512i | −0.320809 | − | 0.555657i | ||||
\(725\) | −7.89708 | −0.293290 | ||||||||
\(726\) | −14.2996 | − | 6.46751i | −0.530709 | − | 0.240032i | ||||
\(727\) | −3.09298 | + | 1.78573i | −0.114712 | + | 0.0662292i | −0.556258 | − | 0.831009i | \(-0.687764\pi\) |
0.441546 | + | 0.897239i | \(0.354430\pi\) | |||||||
\(728\) | −6.32614 | + | 9.08396i | −0.234462 | + | 0.336674i | ||||
\(729\) | 15.0907 | + | 22.3891i | 0.558913 | + | 0.829226i | ||||
\(730\) | 34.5463 | + | 9.25665i | 1.27861 | + | 0.342604i | ||||
\(731\) | 8.49378 | + | 4.90389i | 0.314154 | + | 0.181377i | ||||
\(732\) | −8.94153 | − | 7.32809i | −0.330488 | − | 0.270854i | ||||
\(733\) | 7.29113 | + | 27.2109i | 0.269304 | + | 1.00506i | 0.959563 | + | 0.281494i | \(0.0908300\pi\) |
−0.690259 | + | 0.723562i | \(0.742503\pi\) | |||||||
\(734\) | 3.25116 | − | 12.1335i | 0.120003 | − | 0.447856i | ||||
\(735\) | −6.15917 | + | 4.41986i | −0.227184 | + | 0.163029i | ||||
\(736\) | −7.66712 | + | 28.6141i | −0.282614 | + | 1.05473i | ||||
\(737\) | 2.36846 | + | 1.36743i | 0.0872432 | + | 0.0503699i | ||||
\(738\) | −10.4874 | + | 2.10071i | −0.386047 | + | 0.0773284i | ||||
\(739\) | −11.8467 | + | 44.2127i | −0.435790 | + | 1.62639i | 0.303380 | + | 0.952870i | \(0.401885\pi\) |
−0.739170 | + | 0.673519i | \(0.764782\pi\) | |||||||
\(740\) | −12.9525 | − | 22.4344i | −0.476145 | − | 0.824707i | ||||
\(741\) | −0.375909 | − | 26.5950i | −0.0138094 | − | 0.976990i | ||||
\(742\) | 7.48348 | − | 12.9618i | 0.274727 | − | 0.475841i | ||||
\(743\) | 6.81776 | + | 6.81776i | 0.250119 | + | 0.250119i | 0.821019 | − | 0.570900i | \(-0.193406\pi\) |
−0.570900 | + | 0.821019i | \(0.693406\pi\) | |||||||
\(744\) | 1.31228 | − | 7.98168i | 0.0481105 | − | 0.292623i | ||||
\(745\) | 97.9158i | 3.58736i | ||||||||
\(746\) | 26.0464 | + | 26.0464i | 0.953625 | + | 0.953625i | ||||
\(747\) | 5.46808 | + | 11.0508i | 0.200067 | + | 0.404326i | ||||
\(748\) | −1.81843 | + | 0.487247i | −0.0664884 | + | 0.0178155i | ||||
\(749\) | −4.27507 | − | 1.14550i | −0.156208 | − | 0.0418557i | ||||
\(750\) | −75.5736 | − | 12.4252i | −2.75956 | − | 0.453703i | ||||
\(751\) | 5.89798i | 0.215220i | 0.994193 | + | 0.107610i | \(0.0343198\pi\) | ||||
−0.994193 | + | 0.107610i | \(0.965680\pi\) | |||||||
\(752\) | −12.3823 | + | 12.3823i | −0.451537 | + | 0.451537i | ||||
\(753\) | 8.99268 | + | 1.47850i | 0.327711 | + | 0.0538795i | ||||
\(754\) | −1.69624 | + | 1.43071i | −0.0617734 | + | 0.0521035i | ||||
\(755\) | − | 2.86525i | − | 0.104277i | ||||||
\(756\) | 2.97407 | + | 2.77431i | 0.108166 | + | 0.100900i | ||||
\(757\) | 12.8455 | + | 22.2490i | 0.466877 | + | 0.808655i | 0.999284 | − | 0.0378334i | \(-0.0120456\pi\) |
−0.532407 | + | 0.846489i | \(0.678712\pi\) | |||||||
\(758\) | −34.2376 | −1.24356 | ||||||||
\(759\) | 16.8504 | − | 12.0920i | 0.611631 | − | 0.438910i | ||||
\(760\) | 55.2816 | + | 14.8127i | 2.00527 | + | 0.537312i | ||||
\(761\) | −49.8318 | − | 13.3524i | −1.80640 | − | 0.484024i | −0.811454 | − | 0.584417i | \(-0.801323\pi\) |
−0.994948 | + | 0.100393i | \(0.967990\pi\) | |||||||
\(762\) | 5.66769 | + | 2.56341i | 0.205319 | + | 0.0928627i | ||||
\(763\) | 7.67080 | 0.277702 | ||||||||
\(764\) | 7.51377 | + | 13.0142i | 0.271839 | + | 0.470838i | ||||
\(765\) | −8.38913 | − | 16.9541i | −0.303310 | − | 0.612976i | ||||
\(766\) | 21.1270i | 0.763349i | ||||||||
\(767\) | −7.75099 | + | 6.53766i | −0.279872 | + | 0.236061i | ||||
\(768\) | −17.0535 | + | 20.8082i | −0.615366 | + | 0.750853i | ||||
\(769\) | −27.5801 | + | 27.5801i | −0.994563 | + | 0.994563i | −0.999985 | − | 0.00542201i | \(-0.998274\pi\) |
0.00542201 | + | 0.999985i | \(0.498274\pi\) | |||||||
\(770\) | 8.06213i | 0.290539i | ||||||||
\(771\) | 7.95547 | + | 21.0942i | 0.286509 | + | 0.759690i | ||||
\(772\) | 7.31391 | + | 1.95976i | 0.263233 | + | 0.0705331i | ||||
\(773\) | 0.604349 | − | 0.161935i | 0.0217369 | − | 0.00582439i | −0.247934 | − | 0.968777i | \(-0.579752\pi\) |
0.269671 | + | 0.962952i | \(0.413085\pi\) | |||||||
\(774\) | −18.7531 | − | 12.4940i | −0.674066 | − | 0.449089i | ||||
\(775\) | −15.2269 | − | 15.2269i | −0.546967 | − | 0.546967i | ||||
\(776\) | 37.3696i | 1.34149i | ||||||||
\(777\) | −10.1297 | − | 8.30187i | −0.363402 | − | 0.297828i | ||||
\(778\) | −13.5124 | − | 13.5124i | −0.484442 | − | 0.484442i | ||||
\(779\) | 6.88139 | − | 11.9189i | 0.246552 | − | 0.427040i | ||||
\(780\) | 18.3753 | − | 10.9581i | 0.657940 | − | 0.392363i | ||||
\(781\) | 11.4580 | + | 19.8458i | 0.409999 | + | 0.710139i | ||||
\(782\) | 2.95049 | − | 11.0114i | 0.105509 | − | 0.393766i | ||||
\(783\) | 1.53559 | + | 2.45838i | 0.0548775 | + | 0.0878553i | ||||
\(784\) | −1.57780 | − | 0.910942i | −0.0563499 | − | 0.0325336i | ||||
\(785\) | 8.43590 | − | 31.4832i | 0.301090 | − | 1.12368i | ||||
\(786\) | 3.41757 | + | 34.4621i | 0.121901 | + | 1.22922i | ||||
\(787\) | 7.00792 | − | 26.1539i | 0.249805 | − | 0.932286i | −0.721102 | − | 0.692829i | \(-0.756364\pi\) |
0.970907 | − | 0.239457i | \(-0.0769694\pi\) | |||||||
\(788\) | −1.95424 | − | 7.29332i | −0.0696169 | − | 0.259814i | ||||
\(789\) | −4.38706 | + | 26.6834i | −0.156184 | + | 0.949956i | ||||
\(790\) | 20.1209 | + | 11.6168i | 0.715870 | + | 0.413308i | ||||
\(791\) | 3.11824 | + | 0.835530i | 0.110872 | + | 0.0297080i | ||||
\(792\) | 15.0778 | − | 3.02020i | 0.535766 | − | 0.107318i | ||||
\(793\) | −17.5708 | + | 25.2306i | −0.623956 | + | 0.895964i | ||||
\(794\) | 6.51991 | − | 3.76427i | 0.231383 | − | 0.133589i | ||||
\(795\) | −83.5530 | + | 59.9581i | −2.96332 | + | 2.12649i | ||||
\(796\) | 9.69622 | 0.343673 | ||||||||
\(797\) | −5.91826 | − | 10.2507i | −0.209636 | − | 0.363099i | 0.741964 | − | 0.670440i | \(-0.233894\pi\) |
−0.951600 | + | 0.307340i | \(0.900561\pi\) | |||||||
\(798\) | 8.09916 | − | 0.803185i | 0.286707 | − | 0.0284324i | ||||
\(799\) | −9.79106 | + | 9.79106i | −0.346383 | + | 0.346383i | ||||
\(800\) | 15.1336 | + | 56.4794i | 0.535054 | + | 1.99685i | ||||
\(801\) | 12.7586 | − | 6.31315i | 0.450803 | − | 0.223064i | ||||
\(802\) | −0.504454 | + | 0.873740i | −0.0178129 | + | 0.0308528i | ||||
\(803\) | −6.18252 | + | 10.7084i | −0.218176 | + | 0.377893i | ||||
\(804\) | 2.20997 | − | 0.219161i | 0.0779397 | − | 0.00772920i | ||||
\(805\) | 27.1862 | + | 15.6960i | 0.958188 | + | 0.553210i | ||||
\(806\) | −6.02929 | − | 0.511980i | −0.212373 | − | 0.0180337i | ||||
\(807\) | −1.87019 | + | 11.3751i | −0.0658338 | + | 0.400421i | ||||
\(808\) | −2.59923 | − | 9.70045i | −0.0914405 | − | 0.341261i | ||||
\(809\) | −37.8936 | + | 21.8779i | −1.33227 | + | 0.769185i | −0.985647 | − | 0.168821i | \(-0.946004\pi\) |
−0.346620 | + | 0.938006i | \(0.612671\pi\) | |||||||
\(810\) | 16.7395 | + | 40.1078i | 0.588165 | + | 1.40924i | ||||
\(811\) | −22.1527 | + | 22.1527i | −0.777887 | + | 0.777887i | −0.979471 | − | 0.201584i | \(-0.935391\pi\) |
0.201584 | + | 0.979471i | \(0.435391\pi\) | |||||||
\(812\) | 0.308742 | + | 0.308742i | 0.0108347 | + | 0.0108347i | ||||
\(813\) | 28.4262 | − | 2.81900i | 0.996952 | − | 0.0988667i | ||||
\(814\) | −13.4538 | + | 3.60493i | −0.471554 | + | 0.126353i | ||||
\(815\) | 52.3412 | − | 30.2192i | 1.83343 | − | 1.05853i | ||||
\(816\) | 2.88159 | − | 3.51604i | 0.100876 | − | 0.123086i | ||||
\(817\) | 28.0076 | − | 7.50463i | 0.979863 | − | 0.262554i | ||||
\(818\) | 3.89057 | 0.136031 | ||||||||
\(819\) | 6.73748 | − | 8.46206i | 0.235427 | − | 0.295688i | ||||
\(820\) | 11.0705 | 0.386600 | ||||||||
\(821\) | 15.1394 | − | 4.05659i | 0.528369 | − | 0.141576i | 0.0152339 | − | 0.999884i | \(-0.495151\pi\) |
0.513135 | + | 0.858308i | \(0.328484\pi\) | |||||||
\(822\) | −32.6990 | − | 5.37608i | −1.14051 | − | 0.187512i | ||||
\(823\) | 22.2581 | − | 12.8507i | 0.775867 | − | 0.447947i | −0.0590965 | − | 0.998252i | \(-0.518822\pi\) |
0.834964 | + | 0.550305i | \(0.185489\pi\) | |||||||
\(824\) | −31.4173 | + | 8.41823i | −1.09447 | + | 0.293263i | ||||
\(825\) | 16.8701 | − | 37.2998i | 0.587343 | − | 1.29861i | ||||
\(826\) | −2.19404 | − | 2.19404i | −0.0763403 | − | 0.0763403i | ||||
\(827\) | 12.6635 | − | 12.6635i | 0.440353 | − | 0.440353i | −0.451778 | − | 0.892131i | \(-0.649210\pi\) |
0.892131 | + | 0.451778i | \(0.149210\pi\) | |||||||
\(828\) | 5.39220 | − | 15.9552i | 0.187392 | − | 0.554483i | ||||
\(829\) | −25.4698 | + | 14.7050i | −0.884603 | + | 0.510726i | −0.872173 | − | 0.489197i | \(-0.837290\pi\) |
−0.0124299 | + | 0.999923i | \(0.503957\pi\) | |||||||
\(830\) | 5.13665 | + | 19.1702i | 0.178296 | + | 0.665408i | ||||
\(831\) | 3.30994 | − | 1.24831i | 0.114821 | − | 0.0433034i | ||||
\(832\) | 24.2640 | + | 16.8976i | 0.841203 | + | 0.585820i | ||||
\(833\) | −1.24761 | − | 0.720308i | −0.0432271 | − | 0.0249572i | ||||
\(834\) | −4.73341 | + | 10.4655i | −0.163905 | + | 0.362392i | ||||
\(835\) | 42.2413 | − | 73.1641i | 1.46182 | − | 2.53195i | ||||
\(836\) | −2.78282 | + | 4.81998i | −0.0962458 | + | 0.166703i | ||||
\(837\) | −1.77929 | + | 7.70105i | −0.0615014 | + | 0.266187i | ||||
\(838\) | −5.62112 | − | 20.9783i | −0.194178 | − | 0.724683i | ||||
\(839\) | −0.656972 | + | 0.656972i | −0.0226812 | + | 0.0226812i | −0.718356 | − | 0.695675i | \(-0.755105\pi\) |
0.695675 | + | 0.718356i | \(0.255105\pi\) | |||||||
\(840\) | 13.5698 | + | 18.9098i | 0.468202 | + | 0.652450i | ||||
\(841\) | −14.3444 | − | 24.8453i | −0.494635 | − | 0.856733i | ||||
\(842\) | 23.3590 | 0.805005 | ||||||||
\(843\) | −0.0551173 | − | 0.555792i | −0.00189834 | − | 0.0191425i | ||||
\(844\) | −0.299863 | + | 0.173126i | −0.0103217 | + | 0.00595925i | ||||
\(845\) | −32.8736 | − | 46.4417i | −1.13089 | − | 1.59764i | ||||
\(846\) | 23.8905 | − | 21.0082i | 0.821372 | − | 0.722276i | ||||
\(847\) | 7.93283 | + | 2.12560i | 0.272575 | + | 0.0730363i | ||||
\(848\) | −21.4038 | − | 12.3575i | −0.735009 | − | 0.424358i | ||||
\(849\) | 50.5877 | − | 19.0786i | 1.73617 | − | 0.654777i | ||||
\(850\) | −5.82377 | − | 21.7346i | −0.199754 | − | 0.745491i | ||||
\(851\) | −14.0367 | + | 52.3856i | −0.481171 | + | 1.79576i | ||||
\(852\) | 16.9551 | + | 7.66855i | 0.580873 | + | 0.262720i | ||||
\(853\) | −1.76271 | + | 6.57853i | −0.0603541 | + | 0.225245i | −0.989515 | − | 0.144432i | \(-0.953865\pi\) |
0.929161 | + | 0.369676i | \(0.120531\pi\) | |||||||
\(854\) | −8.14781 | − | 4.70414i | −0.278812 | − | 0.160972i | ||||
\(855\) | −52.9796 | − | 17.9049i | −1.81186 | − | 0.612334i | ||||
\(856\) | −3.51690 | + | 13.1253i | −0.120205 | + | 0.448612i | ||||
\(857\) | −12.9342 | − | 22.4028i | −0.441826 | − | 0.765264i | 0.555999 | − | 0.831183i | \(-0.312336\pi\) |
−0.997825 | + | 0.0659184i | \(0.979002\pi\) | |||||||
\(858\) | −3.13400 | − | 11.0681i | −0.106993 | − | 0.377858i | ||||
\(859\) | −17.1336 | + | 29.6762i | −0.584590 | + | 1.01254i | 0.410337 | + | 0.911934i | \(0.365411\pi\) |
−0.994926 | + | 0.100605i | \(0.967922\pi\) | |||||||
\(860\) | 16.4922 | + | 16.4922i | 0.562381 | + | 0.562381i | ||||
\(861\) | 5.23696 | − | 1.97506i | 0.178475 | − | 0.0673100i | ||||
\(862\) | 7.48770i | 0.255032i | ||||||||
\(863\) | −27.1306 | − | 27.1306i | −0.923537 | − | 0.923537i | 0.0737406 | − | 0.997277i | \(-0.476506\pi\) |
−0.997277 | + | 0.0737406i | \(0.976506\pi\) | |||||||
\(864\) | 14.6394 | − | 15.6935i | 0.498043 | − | 0.533905i | ||||
\(865\) | −7.74732 | + | 2.07589i | −0.263417 | + | 0.0705823i | ||||
\(866\) | 22.3858 | + | 5.99826i | 0.760700 | + | 0.203829i | ||||
\(867\) | −16.3858 | + | 19.9935i | −0.556491 | + | 0.679014i | ||||
\(868\) | 1.19062i | 0.0404121i | ||||||||
\(869\) | −5.67990 | + | 5.67990i | −0.192677 | + | 0.192677i | ||||
\(870\) | 1.64642 | + | 4.36556i | 0.0558190 | + | 0.148006i | ||||
\(871\) | −1.04046 | − | 5.81389i | −0.0352548 | − | 0.196996i | ||||
\(872\) | − | 23.5508i | − | 0.797530i | ||||||
\(873\) | 2.33931 | − | 36.4403i | 0.0791736 | − | 1.23332i | ||||
\(874\) | −16.8512 | − | 29.1871i | −0.570000 | − | 0.987268i | ||||
\(875\) | 40.0781 | 1.35489 | ||||||||
\(876\) | 0.990886 | + | 9.99189i | 0.0334789 | + | 0.337595i | ||||
\(877\) | 19.2966 | + | 5.17051i | 0.651601 | + | 0.174596i | 0.569452 | − | 0.822024i | \(-0.307155\pi\) |
0.0821481 | + | 0.996620i | \(0.473822\pi\) | |||||||
\(878\) | 6.75647 | + | 1.81039i | 0.228020 | + | 0.0610978i | ||||
\(879\) | −0.172997 | − | 1.74447i | −0.00583506 | − | 0.0588395i | ||||
\(880\) | 13.3130 | 0.448782 | ||||||||
\(881\) | −21.1710 | − | 36.6692i | −0.713269 | − | 1.23542i | −0.963623 | − | 0.267264i | \(-0.913880\pi\) |
0.250354 | − | 0.968154i | \(-0.419453\pi\) | |||||||
\(882\) | 2.75455 | + | 1.83519i | 0.0927505 | + | 0.0617940i | ||||
\(883\) | − | 3.76789i | − | 0.126800i | −0.997988 | − | 0.0633998i | \(-0.979806\pi\) | ||
0.997988 | − | 0.0633998i | \(-0.0201943\pi\) | |||||||
\(884\) | 3.33633 | + | 2.32345i | 0.112213 | + | 0.0781460i | ||||
\(885\) | 7.52336 | + | 19.9485i | 0.252895 | + | 0.670561i | ||||
\(886\) | 5.51979 | − | 5.51979i | 0.185441 | − | 0.185441i | ||||
\(887\) | 10.1096i | 0.339447i | 0.985492 | + | 0.169724i | \(0.0542875\pi\) | ||||
−0.985492 | + | 0.169724i | \(0.945713\pi\) | |||||||
\(888\) | −25.4883 | + | 31.1001i | −0.855331 | + | 1.04365i | ||||
\(889\) | −3.14420 | − | 0.842486i | −0.105453 | − | 0.0282561i | ||||
\(890\) | 22.1329 | − | 5.93050i | 0.741897 | − | 0.198791i | ||||
\(891\) | −14.8919 | + | 2.00124i | −0.498897 | + | 0.0670439i | ||||
\(892\) | 6.43902 | + | 6.43902i | 0.215594 | + | 0.215594i | ||||
\(893\) | 40.9361i | 1.36988i | ||||||||
\(894\) | 40.0007 | − | 15.0859i | 1.33783 | − | 0.504547i | ||||
\(895\) | −22.2482 | − | 22.2482i | −0.743675 | − | 0.743675i | ||||
\(896\) | −0.393641 | + | 0.681807i | −0.0131506 | + | 0.0227776i | ||||
\(897\) | −43.4241 | − | 10.9801i | −1.44989 | − | 0.366614i | ||||
\(898\) | −11.4180 | − | 19.7766i | −0.381024 | − | 0.659953i | ||||
\(899\) | −0.219613 | + | 0.819607i | −0.00732450 | + | 0.0273354i | ||||
\(900\) | −6.52910 | − | 32.5953i | −0.217637 | − | 1.08651i | ||||
\(901\) | −16.9246 | − | 9.77142i | −0.563840 | − | 0.325533i | ||||
\(902\) | 1.54057 | − | 5.74947i | 0.0512952 | − | 0.191436i | ||||
\(903\) | 10.7441 | + | 4.85938i | 0.357540 | + | 0.161710i | ||||
\(904\) | 2.56523 | − | 9.57357i | 0.0853183 | − | 0.318412i | ||||
\(905\) | 24.9858 | + | 93.2482i | 0.830555 | + | 3.09967i | ||||
\(906\) | −1.17052 | + | 0.441448i | −0.0388878 | + | 0.0146661i | ||||
\(907\) | 28.9038 | + | 16.6876i | 0.959735 | + | 0.554104i | 0.896092 | − | 0.443869i | \(-0.146395\pi\) |
0.0636438 | + | 0.997973i | \(0.479728\pi\) | |||||||
\(908\) | 13.2116 | + | 3.54004i | 0.438442 | + | 0.117480i | ||||
\(909\) | 1.92735 | + | 9.62193i | 0.0639261 | + | 0.319139i | ||||
\(910\) | 13.3091 | − | 11.2257i | 0.441192 | − | 0.372128i | ||||
\(911\) | −22.5773 | + | 13.0350i | −0.748018 | + | 0.431868i | −0.824977 | − | 0.565166i | \(-0.808812\pi\) |
0.0769594 | + | 0.997034i | \(0.475479\pi\) | |||||||
\(912\) | −1.32630 | − | 13.3742i | −0.0439182 | − | 0.442863i | ||||
\(913\) | −6.86154 | −0.227084 | ||||||||
\(914\) | 6.35948 | + | 11.0149i | 0.210353 | + | 0.364342i | ||||
\(915\) | 37.6898 | + | 52.5216i | 1.24599 | + | 1.73631i | ||||
\(916\) | −2.38546 | + | 2.38546i | −0.0788177 | + | 0.0788177i | ||||
\(917\) | −4.69039 | − | 17.5048i | −0.154890 | − | 0.578058i | ||||
\(918\) | −5.63360 | + | 6.03925i | −0.185936 | + | 0.199325i | ||||
\(919\) | −19.5281 | + | 33.8236i | −0.644172 | + | 1.11574i | 0.340320 | + | 0.940310i | \(0.389465\pi\) |
−0.984492 | + | 0.175429i | \(0.943869\pi\) | |||||||
\(920\) | 48.1895 | − | 83.4667i | 1.58876 | − | 2.75181i | ||||
\(921\) | −6.36699 | + | 14.0774i | −0.209800 | + | 0.463865i | ||||
\(922\) | −15.2463 | − | 8.80246i | −0.502111 | − | 0.289894i | ||||
\(923\) | 16.8077 | − | 46.5483i | 0.553231 | − | 1.53216i | ||||
\(924\) | −2.11781 | + | 0.798711i | −0.0696709 | + | 0.0262757i | ||||
\(925\) | 27.7060 | + | 103.400i | 0.910969 | + | 3.39978i | ||||
\(926\) | 29.5753 | − | 17.0753i | 0.971905 | − | 0.561129i | ||||
\(927\) | 31.1630 | − | 6.24219i | 1.02353 | − | 0.205020i | ||||
\(928\) | 1.62917 | − | 1.62917i | 0.0534800 | − | 0.0534800i | ||||
\(929\) | 24.9372 | + | 24.9372i | 0.818164 | + | 0.818164i | 0.985842 | − | 0.167678i | \(-0.0536268\pi\) |
−0.167678 | + | 0.985842i | \(0.553627\pi\) | |||||||
\(930\) | −5.24295 | + | 11.5921i | −0.171923 | + | 0.380121i | ||||
\(931\) | −4.11390 | + | 1.10232i | −0.134828 | + | 0.0361270i | ||||
\(932\) | −12.8848 | + | 7.43904i | −0.422055 | + | 0.243674i | ||||
\(933\) | 28.5774 | + | 4.69844i | 0.935581 | + | 0.153820i | ||||
\(934\) | −40.6557 | + | 10.8937i | −1.33030 | + | 0.356452i | ||||
\(935\) | 10.5270 | 0.344269 | ||||||||
\(936\) | −25.9801 | − | 20.6853i | −0.849186 | − | 0.676120i | ||||
\(937\) | −54.3133 | −1.77434 | −0.887168 | − | 0.461446i | \(-0.847331\pi\) | ||||
−0.887168 | + | 0.461446i | \(0.847331\pi\) | |||||||
\(938\) | 1.74574 | − | 0.467768i | 0.0570003 | − | 0.0152732i | ||||
\(939\) | −7.84369 | + | 9.57065i | −0.255969 | + | 0.312326i | ||||
\(940\) | −28.5167 | + | 16.4641i | −0.930113 | + | 0.537001i | ||||
\(941\) | 40.4526 | − | 10.8392i | 1.31872 | − | 0.353349i | 0.470220 | − | 0.882549i | \(-0.344175\pi\) |
0.848497 | + | 0.529200i | \(0.177508\pi\) | |||||||
\(942\) | −14.1613 | + | 1.40436i | −0.461400 | + | 0.0457566i | ||||
\(943\) | −16.3884 | − | 16.3884i | −0.533680 | − | 0.533680i | ||||
\(944\) | −3.62302 | + | 3.62302i | −0.117919 | + | 0.117919i | ||||
\(945\) | −12.0486 | − | 19.2890i | −0.391941 | − | 0.627472i | ||||
\(946\) | 10.8603 | − | 6.27019i | 0.353098 | − | 0.203861i | ||||
\(947\) | 8.96994 | + | 33.4763i | 0.291484 | + | 1.08783i | 0.943970 | + | 0.330032i | \(0.107059\pi\) |
−0.652486 | + | 0.757801i | \(0.726274\pi\) | |||||||
\(948\) | −1.05821 | + | 6.43637i | −0.0343691 | + | 0.209044i | ||||
\(949\) | 26.2862 | − | 4.70423i | 0.853286 | − | 0.152706i | ||||
\(950\) | −57.6104 | − | 33.2614i | −1.86913 | − | 1.07914i | ||||
\(951\) | 26.7505 | − | 2.65282i | 0.867446 | − | 0.0860237i | ||||
\(952\) | −2.21148 | + | 3.83039i | −0.0716744 | + | 0.124144i | ||||
\(953\) | 21.1404 | − | 36.6162i | 0.684804 | − | 1.18612i | −0.288694 | − | 0.957421i | \(-0.593221\pi\) |
0.973498 | − | 0.228694i | \(-0.0734457\pi\) | |||||||
\(954\) | 37.3672 | + | 24.8955i | 1.20981 | + | 0.806021i | ||||
\(955\) | −21.7488 | − | 81.1677i | −0.703775 | − | 2.62652i | ||||
\(956\) | 4.03275 | − | 4.03275i | 0.130428 | − | 0.130428i | ||||
\(957\) | −1.60520 | + | 0.159187i | −0.0518889 | + | 0.00514577i | ||||
\(958\) | −21.2046 | − | 36.7275i | −0.685090 | − | 1.18661i | ||||
\(959\) | 17.3409 | 0.559966 | ||||||||
\(960\) | 50.5096 | − | 36.2460i | 1.63019 | − | 1.16983i | ||||
\(961\) | 24.8430 | − | 14.3431i | 0.801387 | − | 0.462681i | ||||
\(962\) | 24.6841 | + | 17.1902i | 0.795847 | + | 0.554234i | ||||
\(963\) | 4.25108 | − | 12.5787i | 0.136989 | − | 0.405343i | ||||
\(964\) | 4.77130 | + | 1.27846i | 0.153673 | + | 0.0411766i | ||||
\(965\) | −36.6680 | − | 21.1703i | −1.18039 | − | 0.681496i | ||||
\(966\) | 2.22357 | − | 13.5244i | 0.0715422 | − | 0.435141i | ||||
\(967\) | 4.98948 | + | 18.6210i | 0.160451 | + | 0.598811i | 0.998577 | + | 0.0533342i | \(0.0169849\pi\) |
−0.838126 | + | 0.545477i | \(0.816348\pi\) | |||||||
\(968\) | 6.52597 | − | 24.3553i | 0.209753 | − | 0.782808i | ||||
\(969\) | −1.04875 | − | 10.5753i | −0.0336905 | − | 0.339729i | ||||
\(970\) | 15.2127 | − | 56.7745i | 0.488449 | − | 1.82292i | ||||
\(971\) | 30.1012 | + | 17.3789i | 0.965992 | + | 0.557716i | 0.898012 | − | 0.439971i | \(-0.145011\pi\) |
0.0679801 | + | 0.997687i | \(0.478345\pi\) | |||||||
\(972\) | −8.87741 | + | 8.37069i | −0.284743 | + | 0.268490i | ||||
\(973\) | 1.55567 | − | 5.80584i | 0.0498725 | − | 0.186127i | ||||
\(974\) | 22.1776 | + | 38.4128i | 0.710617 | + | 1.23082i | ||||
\(975\) | −85.0650 | + | 24.0867i | −2.72426 | + | 0.771391i | ||||
\(976\) | −7.76795 | + | 13.4545i | −0.248646 | + | 0.430668i | ||||
\(977\) | 37.5600 | + | 37.5600i | 1.20165 | + | 1.20165i | 0.973664 | + | 0.227987i | \(0.0732145\pi\) |
0.227987 | + | 0.973664i | \(0.426786\pi\) | |||||||
\(978\) | −20.4094 | − | 16.7267i | −0.652621 | − | 0.534860i | ||||
\(979\) | 7.92197i | 0.253187i | ||||||||
\(980\) | −2.42246 | − | 2.42246i | −0.0773828 | − | 0.0773828i | ||||
\(981\) | −1.47426 | + | 22.9651i | −0.0470696 | + | 0.733220i | ||||
\(982\) | −1.37773 | + | 0.369162i | −0.0439652 | + | 0.0117804i | ||||
\(983\) | −2.72267 | − | 0.729538i | −0.0868397 | − | 0.0232686i | 0.215138 | − | 0.976584i | \(-0.430980\pi\) |
−0.301977 | + | 0.953315i | \(0.597647\pi\) | |||||||
\(984\) | −6.06381 | − | 16.0784i | −0.193307 | − | 0.512562i | ||||
\(985\) | 42.2214i | 1.34529i | ||||||||
\(986\) | −0.626943 | + | 0.626943i | −0.0199659 | + | 0.0199659i | ||||
\(987\) | −10.5526 | + | 12.8760i | −0.335894 | + | 0.409848i | ||||
\(988\) | 11.8317 | − | 2.11742i | 0.376416 | − | 0.0673642i | ||||
\(989\) | − | 48.8291i | − | 1.55267i | ||||||
\(990\) | −24.1367 | − | 1.54947i | −0.767115 | − | 0.0492455i | ||||
\(991\) | 12.9364 | + | 22.4066i | 0.410939 | + | 0.711768i | 0.994993 | − | 0.0999474i | \(-0.0318674\pi\) |
−0.584053 | + | 0.811715i | \(0.698534\pi\) | |||||||
\(992\) | 6.28262 | 0.199474 | ||||||||
\(993\) | −15.8057 | − | 7.14868i | −0.501578 | − | 0.226857i | ||||
\(994\) | 14.6279 | + | 3.91953i | 0.463969 | + | 0.124320i | ||||
\(995\) | −52.3718 | − | 14.0330i | −1.66030 | − | 0.444875i | ||||
\(996\) | −4.52687 | + | 3.24851i | −0.143440 | + | 0.102933i | ||||
\(997\) | 19.3315 | 0.612235 | 0.306117 | − | 0.951994i | \(-0.400970\pi\) | ||||
0.306117 | + | 0.951994i | \(0.400970\pi\) | |||||||
\(998\) | −7.31824 | − | 12.6756i | −0.231655 | − | 0.401238i | ||||
\(999\) | 26.8013 | − | 28.7312i | 0.847956 | − | 0.909014i |
(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 | 819.2.fy.a.743.29 | yes | 336 | |
9.2 | odd | 6 | 819.2.ew.a.470.29 | yes | 336 | ||
13.7 | odd | 12 | 819.2.ew.a.176.29 | ✓ | 336 | ||
117.20 | even | 12 | inner | 819.2.fy.a.722.29 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.29 | ✓ | 336 | 13.7 | odd | 12 | ||
819.2.ew.a.470.29 | yes | 336 | 9.2 | odd | 6 | ||
819.2.fy.a.722.29 | yes | 336 | 117.20 | even | 12 | inner | |
819.2.fy.a.743.29 | yes | 336 | 1.1 | even | 1 | trivial |