Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(35,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bm (of order \(30\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 35.10 | ||
Character | \(\chi\) | \(=\) | 572.35 |
Dual form | 572.2.bm.a.523.10 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32463 | + | 0.495335i | −0.936654 | + | 0.350255i | ||||
\(3\) | 0.111975 | − | 0.0117691i | 0.0646490 | − | 0.00679488i | −0.0721488 | − | 0.997394i | \(-0.522986\pi\) |
0.136798 | + | 0.990599i | \(0.456319\pi\) | |||||||
\(4\) | 1.50929 | − | 1.31227i | 0.754643 | − | 0.656135i | ||||
\(5\) | 0.137946 | + | 0.424554i | 0.0616914 | + | 0.189866i | 0.977152 | − | 0.212540i | \(-0.0681737\pi\) |
−0.915461 | + | 0.402407i | \(0.868174\pi\) | |||||||
\(6\) | −0.142496 | + | 0.0710549i | −0.0581738 | + | 0.0290081i | ||||
\(7\) | −0.311356 | + | 2.96235i | −0.117681 | + | 1.11966i | 0.763146 | + | 0.646226i | \(0.223654\pi\) |
−0.880827 | + | 0.473438i | \(0.843013\pi\) | |||||||
\(8\) | −1.34923 | + | 2.48587i | −0.477026 | + | 0.878889i | ||||
\(9\) | −2.92204 | + | 0.621099i | −0.974014 | + | 0.207033i | ||||
\(10\) | −0.393024 | − | 0.494048i | −0.124285 | − | 0.156232i | ||||
\(11\) | −0.154062 | − | 3.31304i | −0.0464516 | − | 0.998921i | ||||
\(12\) | 0.153559 | − | 0.164705i | 0.0443285 | − | 0.0475462i | ||||
\(13\) | −3.56231 | + | 0.556731i | −0.988007 | + | 0.154409i | ||||
\(14\) | −1.05493 | − | 4.07824i | −0.281941 | − | 1.08996i | ||||
\(15\) | 0.0204432 | + | 0.0459161i | 0.00527840 | + | 0.0118555i | ||||
\(16\) | 0.555892 | − | 3.96118i | 0.138973 | − | 0.990296i | ||||
\(17\) | 4.07152 | + | 3.66601i | 0.987488 | + | 0.889138i | 0.993838 | − | 0.110842i | \(-0.0353546\pi\) |
−0.00634998 | + | 0.999980i | \(0.502021\pi\) | |||||||
\(18\) | 3.56297 | − | 2.27012i | 0.839801 | − | 0.535072i | ||||
\(19\) | −7.19468 | − | 3.20328i | −1.65057 | − | 0.734883i | −0.650869 | − | 0.759190i | \(-0.725595\pi\) |
−0.999705 | + | 0.0243072i | \(0.992262\pi\) | |||||||
\(20\) | 0.765330 | + | 0.459752i | 0.171133 | + | 0.102804i | ||||
\(21\) | 0.335375i | 0.0731847i | ||||||||
\(22\) | 1.84514 | + | 4.31224i | 0.393386 | + | 0.919374i | ||||
\(23\) | −5.10878 | − | 2.94956i | −1.06526 | − | 0.615025i | −0.138374 | − | 0.990380i | \(-0.544188\pi\) |
−0.926881 | + | 0.375355i | \(0.877521\pi\) | |||||||
\(24\) | −0.121824 | + | 0.294236i | −0.0248673 | + | 0.0600606i | ||||
\(25\) | 3.88387 | − | 2.82180i | 0.776774 | − | 0.564359i | ||||
\(26\) | 4.44297 | − | 2.50200i | 0.871339 | − | 0.490682i | ||||
\(27\) | −0.641131 | + | 0.208316i | −0.123386 | + | 0.0400905i | ||||
\(28\) | 3.41748 | + | 4.87962i | 0.645843 | + | 0.922162i | ||||
\(29\) | 2.16532 | + | 4.86338i | 0.402089 | + | 0.903107i | 0.995189 | + | 0.0979777i | \(0.0312374\pi\) |
−0.593100 | + | 0.805129i | \(0.702096\pi\) | |||||||
\(30\) | −0.0498235 | − | 0.0506956i | −0.00909648 | − | 0.00925571i | ||||
\(31\) | −3.06896 | − | 0.997165i | −0.551201 | − | 0.179096i | 0.0201572 | − | 0.999797i | \(-0.493583\pi\) |
−0.571358 | + | 0.820701i | \(0.693583\pi\) | |||||||
\(32\) | 1.22576 | + | 5.52245i | 0.216686 | + | 0.976241i | ||||
\(33\) | −0.0562427 | − | 0.369166i | −0.00979059 | − | 0.0642635i | ||||
\(34\) | −7.20916 | − | 2.83934i | −1.23636 | − | 0.486943i | ||||
\(35\) | −1.30063 | + | 0.276457i | −0.219847 | + | 0.0467298i | ||||
\(36\) | −3.59515 | + | 4.77193i | −0.599192 | + | 0.795321i | ||||
\(37\) | −10.1520 | + | 4.51996i | −1.66898 | + | 0.743076i | −1.00000 | 0.000206858i | \(-0.999934\pi\) | |
−0.668977 | + | 0.743283i | \(0.733267\pi\) | |||||||
\(38\) | 11.1170 | + | 0.679380i | 1.80341 | + | 0.110210i | ||||
\(39\) | −0.392338 | + | 0.104265i | −0.0628244 | + | 0.0166958i | ||||
\(40\) | −1.24151 | − | 0.229906i | −0.196300 | − | 0.0363513i | ||||
\(41\) | 0.426985 | − | 0.0448780i | 0.0666839 | − | 0.00700876i | −0.0711277 | − | 0.997467i | \(-0.522660\pi\) |
0.137812 | + | 0.990458i | \(0.455993\pi\) | |||||||
\(42\) | −0.166123 | − | 0.444247i | −0.0256333 | − | 0.0685488i | ||||
\(43\) | −0.115931 | − | 0.200799i | −0.0176793 | − | 0.0306215i | 0.857050 | − | 0.515233i | \(-0.172294\pi\) |
−0.874730 | + | 0.484611i | \(0.838961\pi\) | |||||||
\(44\) | −4.58014 | − | 4.79816i | −0.690481 | − | 0.723350i | ||||
\(45\) | −0.666775 | − | 1.15489i | −0.0993969 | − | 0.172161i | ||||
\(46\) | 8.22826 | + | 1.37651i | 1.21319 | + | 0.202956i | ||||
\(47\) | 0.413172 | + | 0.568683i | 0.0602674 | + | 0.0829509i | 0.838087 | − | 0.545537i | \(-0.183674\pi\) |
−0.777819 | + | 0.628488i | \(0.783674\pi\) | |||||||
\(48\) | 0.0156267 | − | 0.450097i | 0.00225552 | − | 0.0649659i | ||||
\(49\) | −1.83155 | − | 0.389308i | −0.261650 | − | 0.0556155i | ||||
\(50\) | −3.74695 | + | 5.66165i | −0.529899 | + | 0.800678i | ||||
\(51\) | 0.499055 | + | 0.362585i | 0.0698817 | + | 0.0507720i | ||||
\(52\) | −4.64597 | + | 5.51498i | −0.644279 | + | 0.764790i | ||||
\(53\) | −0.743822 | + | 2.28925i | −0.102172 | + | 0.314453i | −0.989056 | − | 0.147539i | \(-0.952865\pi\) |
0.886884 | + | 0.461991i | \(0.152865\pi\) | |||||||
\(54\) | 0.746075 | − | 0.593516i | 0.101528 | − | 0.0807673i | ||||
\(55\) | 1.38532 | − | 0.522429i | 0.186796 | − | 0.0704444i | ||||
\(56\) | −6.94394 | − | 4.77089i | −0.927924 | − | 0.637537i | ||||
\(57\) | −0.843326 | − | 0.274013i | −0.111701 | − | 0.0362940i | ||||
\(58\) | −5.27724 | − | 5.36962i | −0.692936 | − | 0.705065i | ||||
\(59\) | −4.19239 | − | 0.440638i | −0.545803 | − | 0.0573662i | −0.172386 | − | 0.985030i | \(-0.555147\pi\) |
−0.373418 | + | 0.927663i | \(0.621814\pi\) | |||||||
\(60\) | 0.0911089 | + | 0.0424736i | 0.0117621 | + | 0.00548332i | ||||
\(61\) | −10.2377 | − | 9.21806i | −1.31080 | − | 1.18025i | −0.970817 | − | 0.239821i | \(-0.922911\pi\) |
−0.339986 | − | 0.940431i | \(-0.610422\pi\) | |||||||
\(62\) | 4.55916 | − | 0.199288i | 0.579014 | − | 0.0253096i | ||||
\(63\) | −0.930120 | − | 8.84950i | −0.117184 | − | 1.11493i | ||||
\(64\) | −4.35915 | − | 6.70804i | −0.544893 | − | 0.838505i | ||||
\(65\) | −0.727769 | − | 1.43560i | −0.0902686 | − | 0.178064i | ||||
\(66\) | 0.257361 | + | 0.461149i | 0.0316790 | + | 0.0567635i | ||||
\(67\) | −7.40122 | − | 4.27310i | −0.904203 | − | 0.522042i | −0.0256418 | − | 0.999671i | \(-0.508163\pi\) |
−0.878562 | + | 0.477629i | \(0.841496\pi\) | |||||||
\(68\) | 10.9559 | + | 0.190128i | 1.32860 | + | 0.0230565i | ||||
\(69\) | −0.606771 | − | 0.270152i | −0.0730466 | − | 0.0325225i | ||||
\(70\) | 1.58591 | − | 1.01045i | 0.189553 | − | 0.120772i | ||||
\(71\) | 2.56904 | + | 2.31318i | 0.304889 | + | 0.274524i | 0.807345 | − | 0.590079i | \(-0.200903\pi\) |
−0.502456 | + | 0.864603i | \(0.667570\pi\) | |||||||
\(72\) | 2.39854 | − | 8.10184i | 0.282671 | − | 0.954811i | ||||
\(73\) | −2.16710 | + | 2.98276i | −0.253640 | + | 0.349105i | −0.916782 | − | 0.399388i | \(-0.869223\pi\) |
0.663142 | + | 0.748494i | \(0.269223\pi\) | |||||||
\(74\) | 11.2087 | − | 11.0159i | 1.30299 | − | 1.28057i | ||||
\(75\) | 0.401687 | − | 0.361681i | 0.0463828 | − | 0.0417633i | ||||
\(76\) | −15.0624 | + | 4.60670i | −1.72778 | + | 0.528425i | ||||
\(77\) | 9.86237 | + | 0.575148i | 1.12392 | + | 0.0655442i | ||||
\(78\) | 0.468057 | − | 0.332452i | 0.0529970 | − | 0.0376427i | ||||
\(79\) | 0.124784 | − | 0.384047i | 0.0140394 | − | 0.0432087i | −0.943791 | − | 0.330542i | \(-0.892769\pi\) |
0.957831 | + | 0.287333i | \(0.0927686\pi\) | |||||||
\(80\) | 1.75842 | − | 0.310424i | 0.196598 | − | 0.0347064i | ||||
\(81\) | 8.11783 | − | 3.61429i | 0.901981 | − | 0.401588i | ||||
\(82\) | −0.543368 | + | 0.270947i | −0.0600049 | + | 0.0299211i | ||||
\(83\) | 3.09243 | + | 9.51752i | 0.339438 | + | 1.04468i | 0.964494 | + | 0.264104i | \(0.0850762\pi\) |
−0.625056 | + | 0.780580i | \(0.714924\pi\) | |||||||
\(84\) | 0.440102 | + | 0.506176i | 0.0480191 | + | 0.0552284i | ||||
\(85\) | −0.994771 | + | 2.23429i | −0.107898 | + | 0.242343i | ||||
\(86\) | 0.253028 | + | 0.208559i | 0.0272848 | + | 0.0224895i | ||||
\(87\) | 0.299699 | + | 0.519094i | 0.0321311 | + | 0.0556528i | ||||
\(88\) | 8.44368 | + | 4.08709i | 0.900099 | + | 0.435685i | ||||
\(89\) | −1.82533 | + | 3.16156i | −0.193484 | + | 0.335125i | −0.946403 | − | 0.322989i | \(-0.895312\pi\) |
0.752918 | + | 0.658114i | \(0.228646\pi\) | |||||||
\(90\) | 1.45529 | + | 1.19952i | 0.153401 | + | 0.126441i | ||||
\(91\) | −0.540086 | − | 10.7262i | −0.0566164 | − | 1.12441i | ||||
\(92\) | −11.5812 | + | 2.25238i | −1.20743 | + | 0.234827i | ||||
\(93\) | −0.355383 | − | 0.0755390i | −0.0368515 | − | 0.00783303i | ||||
\(94\) | −0.828989 | − | 0.548635i | −0.0855036 | − | 0.0565874i | ||||
\(95\) | 0.367488 | − | 3.49641i | 0.0377035 | − | 0.358725i | ||||
\(96\) | 0.202249 | + | 0.603952i | 0.0206420 | + | 0.0616406i | ||||
\(97\) | 7.47034 | − | 1.58787i | 0.758498 | − | 0.161224i | 0.187601 | − | 0.982245i | \(-0.439929\pi\) |
0.570897 | + | 0.821022i | \(0.306595\pi\) | |||||||
\(98\) | 2.61897 | − | 0.391542i | 0.264556 | − | 0.0395518i | ||||
\(99\) | 2.50791 | + | 9.58517i | 0.252054 | + | 0.963346i | ||||
\(100\) | 2.15891 | − | 9.35558i | 0.215891 | − | 0.935558i | ||||
\(101\) | −7.22733 | + | 6.50752i | −0.719146 | + | 0.647522i | −0.945162 | − | 0.326601i | \(-0.894097\pi\) |
0.226016 | + | 0.974124i | \(0.427430\pi\) | |||||||
\(102\) | −0.840664 | − | 0.233091i | −0.0832381 | − | 0.0230794i | ||||
\(103\) | −5.13074 | + | 7.06186i | −0.505547 | + | 0.695826i | −0.983160 | − | 0.182744i | \(-0.941502\pi\) |
0.477614 | + | 0.878570i | \(0.341502\pi\) | |||||||
\(104\) | 3.42242 | − | 9.60661i | 0.335596 | − | 0.942006i | ||||
\(105\) | −0.142385 | + | 0.0462636i | −0.0138953 | + | 0.00451487i | ||||
\(106\) | −0.148656 | − | 3.40085i | −0.0144388 | − | 0.330320i | ||||
\(107\) | 0.809435 | + | 7.70126i | 0.0782510 | + | 0.744509i | 0.961351 | + | 0.275325i | \(0.0887853\pi\) |
−0.883100 | + | 0.469184i | \(0.844548\pi\) | |||||||
\(108\) | −0.694283 | + | 1.15575i | −0.0668075 | + | 0.111212i | ||||
\(109\) | 16.7223i | 1.60171i | 0.598860 | + | 0.800854i | \(0.295621\pi\) | ||||
−0.598860 | + | 0.800854i | \(0.704379\pi\) | |||||||
\(110\) | −1.57625 | + | 1.37822i | −0.150290 | + | 0.131408i | ||||
\(111\) | −1.08358 | + | 0.625603i | −0.102848 | + | 0.0593796i | ||||
\(112\) | 11.5613 | + | 2.88009i | 1.09244 | + | 0.272142i | ||||
\(113\) | 1.99120 | + | 0.886539i | 0.187316 | + | 0.0833986i | 0.498252 | − | 0.867032i | \(-0.333976\pi\) |
−0.310935 | + | 0.950431i | \(0.600642\pi\) | |||||||
\(114\) | 1.25282 | − | 0.0547629i | 0.117338 | − | 0.00512901i | ||||
\(115\) | 0.547511 | − | 2.57584i | 0.0510557 | − | 0.240198i | ||||
\(116\) | 9.65015 | + | 4.49875i | 0.895994 | + | 0.417699i | ||||
\(117\) | 10.0634 | − | 3.83934i | 0.930365 | − | 0.354947i | ||||
\(118\) | 5.77163 | − | 1.49296i | 0.531322 | − | 0.137438i | ||||
\(119\) | −12.1277 | + | 10.9198i | −1.11174 | + | 1.00102i | ||||
\(120\) | −0.141724 | − | 0.0111323i | −0.0129376 | − | 0.00101624i | ||||
\(121\) | −10.9525 | + | 1.02083i | −0.995684 | + | 0.0928029i | ||||
\(122\) | 18.1272 | + | 7.13943i | 1.64116 | + | 0.646374i | ||||
\(123\) | 0.0472836 | − | 0.0100504i | 0.00426342 | − | 0.000906218i | ||||
\(124\) | −5.94049 | + | 2.52230i | −0.533471 | + | 0.226509i | ||||
\(125\) | 3.53951 | + | 2.57160i | 0.316583 | + | 0.230011i | ||||
\(126\) | 5.61553 | + | 11.2616i | 0.500271 | + | 1.00326i | ||||
\(127\) | 16.3440 | + | 3.47402i | 1.45029 | + | 0.308269i | 0.864681 | − | 0.502322i | \(-0.167521\pi\) |
0.585612 | + | 0.810591i | \(0.300854\pi\) | |||||||
\(128\) | 9.09698 | + | 6.72644i | 0.804067 | + | 0.594539i | ||||
\(129\) | −0.0153446 | − | 0.0211201i | −0.00135102 | − | 0.00185952i | ||||
\(130\) | 1.67513 | + | 1.54114i | 0.146918 | + | 0.135167i | ||||
\(131\) | 12.8545 | 1.12310 | 0.561551 | − | 0.827442i | \(-0.310205\pi\) | ||||
0.561551 | + | 0.827442i | \(0.310205\pi\) | |||||||
\(132\) | −0.569332 | − | 0.483372i | −0.0495540 | − | 0.0420721i | ||||
\(133\) | 11.7293 | − | 20.3158i | 1.01706 | − | 1.76161i | ||||
\(134\) | 11.9205 | + | 1.99419i | 1.02977 | + | 0.172272i | ||||
\(135\) | −0.176883 | − | 0.243459i | −0.0152237 | − | 0.0209536i | ||||
\(136\) | −14.6067 | + | 5.17498i | −1.25251 | + | 0.443751i | ||||
\(137\) | 6.18863 | − | 6.87317i | 0.528730 | − | 0.587214i | −0.418320 | − | 0.908300i | \(-0.637381\pi\) |
0.947050 | + | 0.321085i | \(0.104048\pi\) | |||||||
\(138\) | 0.937562 | + | 0.0572962i | 0.0798106 | + | 0.00487738i | ||||
\(139\) | 1.35806 | − | 12.9211i | 0.115189 | − | 1.09595i | −0.772343 | − | 0.635206i | \(-0.780915\pi\) |
0.887532 | − | 0.460746i | \(-0.152418\pi\) | |||||||
\(140\) | −1.60024 | + | 2.12403i | −0.135245 | + | 0.179513i | ||||
\(141\) | 0.0529579 | + | 0.0588158i | 0.00445986 | + | 0.00495318i | ||||
\(142\) | −4.54883 | − | 1.79156i | −0.381729 | − | 0.150345i | ||||
\(143\) | 2.39329 | + | 11.7163i | 0.200137 | + | 0.979768i | ||||
\(144\) | 0.835949 | + | 11.9200i | 0.0696624 | + | 0.993335i | ||||
\(145\) | −1.76607 | + | 1.59018i | −0.146664 | + | 0.132057i | ||||
\(146\) | 1.39314 | − | 5.02449i | 0.115297 | − | 0.415830i | ||||
\(147\) | −0.209670 | − | 0.0220372i | −0.0172933 | − | 0.00181760i | ||||
\(148\) | −9.39086 | + | 20.1441i | −0.771924 | + | 1.65583i | ||||
\(149\) | 10.9595 | + | 9.86798i | 0.897838 | + | 0.808417i | 0.982165 | − | 0.188022i | \(-0.0602075\pi\) |
−0.0843274 | + | 0.996438i | \(0.526874\pi\) | |||||||
\(150\) | −0.352934 | + | 0.678063i | −0.0288169 | + | 0.0553636i | ||||
\(151\) | −7.09677 | + | 5.15611i | −0.577527 | + | 0.419598i | −0.837832 | − | 0.545928i | \(-0.816177\pi\) |
0.260305 | + | 0.965527i | \(0.416177\pi\) | |||||||
\(152\) | 17.6702 | − | 13.5631i | 1.43325 | − | 1.10011i | ||||
\(153\) | −14.1741 | − | 8.18342i | −1.14591 | − | 0.661591i | ||||
\(154\) | −13.3489 | + | 4.12332i | −1.07568 | + | 0.332267i | ||||
\(155\) | − | 1.44049i | − | 0.115703i | ||||||
\(156\) | −0.455327 | + | 0.672220i | −0.0364553 | + | 0.0538207i | ||||
\(157\) | 7.25088 | − | 5.26807i | 0.578683 | − | 0.420438i | −0.259566 | − | 0.965725i | \(-0.583580\pi\) |
0.838249 | + | 0.545287i | \(0.183580\pi\) | |||||||
\(158\) | 0.0249388 | + | 0.570530i | 0.00198402 | + | 0.0453890i | ||||
\(159\) | −0.0563474 | + | 0.265094i | −0.00446864 | + | 0.0210233i | ||||
\(160\) | −2.17549 | + | 1.28220i | −0.171988 | + | 0.101367i | ||||
\(161\) | 10.3283 | − | 14.2157i | 0.813982 | − | 1.12035i | ||||
\(162\) | −8.96283 | + | 8.80864i | −0.704186 | + | 0.692072i | ||||
\(163\) | −1.49169 | − | 7.01785i | −0.116838 | − | 0.549680i | −0.997161 | − | 0.0753045i | \(-0.976007\pi\) |
0.880322 | − | 0.474376i | \(-0.157326\pi\) | |||||||
\(164\) | 0.585551 | − | 0.628054i | 0.0457239 | − | 0.0490428i | ||||
\(165\) | 0.148973 | − | 0.0748031i | 0.0115975 | − | 0.00582341i | ||||
\(166\) | −8.81069 | − | 11.0754i | −0.683842 | − | 0.859618i | ||||
\(167\) | −5.26358 | − | 5.84580i | −0.407308 | − | 0.452362i | 0.504235 | − | 0.863567i | \(-0.331775\pi\) |
−0.911543 | + | 0.411205i | \(0.865108\pi\) | |||||||
\(168\) | −0.833699 | − | 0.452498i | −0.0643213 | − | 0.0349110i | ||||
\(169\) | 12.3801 | − | 3.96649i | 0.952316 | − | 0.305115i | ||||
\(170\) | 0.210980 | − | 3.45235i | 0.0161814 | − | 0.264784i | ||||
\(171\) | 23.0127 | + | 4.89151i | 1.75983 | + | 0.374063i | ||||
\(172\) | −0.438476 | − | 0.150930i | −0.0334334 | − | 0.0115083i | ||||
\(173\) | 8.57394 | − | 19.2574i | 0.651865 | − | 1.46411i | −0.220565 | − | 0.975372i | \(-0.570790\pi\) |
0.872430 | − | 0.488740i | \(-0.162543\pi\) | |||||||
\(174\) | −0.654116 | − | 0.539156i | −0.0495884 | − | 0.0408733i | ||||
\(175\) | 7.14989 | + | 12.3840i | 0.540481 | + | 0.936140i | ||||
\(176\) | −13.2092 | − | 1.23143i | −0.995683 | − | 0.0928222i | ||||
\(177\) | −0.474630 | −0.0356754 | ||||||||
\(178\) | 0.851852 | − | 5.09205i | 0.0638490 | − | 0.381665i | ||||
\(179\) | −24.2506 | + | 2.54884i | −1.81257 | + | 0.190509i | −0.949331 | − | 0.314279i | \(-0.898237\pi\) |
−0.863243 | + | 0.504788i | \(0.831571\pi\) | |||||||
\(180\) | −2.52188 | − | 0.868068i | −0.187970 | − | 0.0647020i | ||||
\(181\) | 0.730801 | + | 2.24917i | 0.0543200 | + | 0.167180i | 0.974536 | − | 0.224231i | \(-0.0719871\pi\) |
−0.920216 | + | 0.391411i | \(0.871987\pi\) | |||||||
\(182\) | 6.02845 | + | 13.9407i | 0.446859 | + | 1.03335i | ||||
\(183\) | −1.25486 | − | 0.911707i | −0.0927617 | − | 0.0673953i | ||||
\(184\) | 14.2252 | − | 8.72016i | 1.04869 | − | 0.642859i | ||||
\(185\) | −3.31939 | − | 3.68656i | −0.244047 | − | 0.271041i | ||||
\(186\) | 0.508168 | − | 0.0759725i | 0.0372607 | − | 0.00557057i | ||||
\(187\) | 11.5184 | − | 14.0539i | 0.842308 | − | 1.02772i | ||||
\(188\) | 1.36986 | + | 0.316112i | 0.0999074 | + | 0.0230548i | ||||
\(189\) | −0.417486 | − | 1.96412i | −0.0303676 | − | 0.142868i | ||||
\(190\) | 1.24511 | + | 4.81348i | 0.0903298 | + | 0.349207i | ||||
\(191\) | 13.1499 | + | 1.38211i | 0.951490 | + | 0.100006i | 0.567538 | − | 0.823347i | \(-0.307896\pi\) |
0.383952 | + | 0.923353i | \(0.374563\pi\) | |||||||
\(192\) | −0.567064 | − | 0.699832i | −0.0409243 | − | 0.0505060i | ||||
\(193\) | −3.23655 | + | 15.2267i | −0.232972 | + | 1.09605i | 0.693726 | + | 0.720239i | \(0.255968\pi\) |
−0.926698 | + | 0.375807i | \(0.877366\pi\) | |||||||
\(194\) | −9.10891 | + | 5.80366i | −0.653981 | + | 0.416679i | ||||
\(195\) | −0.0983878 | − | 0.152186i | −0.00704570 | − | 0.0108983i | ||||
\(196\) | −3.27522 | + | 1.81591i | −0.233944 | + | 0.129708i | ||||
\(197\) | 0.128316 | + | 0.0740834i | 0.00914215 | + | 0.00527822i | 0.504564 | − | 0.863374i | \(-0.331653\pi\) |
−0.495422 | + | 0.868652i | \(0.664987\pi\) | |||||||
\(198\) | −8.06992 | − | 11.4545i | −0.573504 | − | 0.814039i | ||||
\(199\) | −10.0204 | + | 5.78528i | −0.710327 | + | 0.410108i | −0.811182 | − | 0.584793i | \(-0.801176\pi\) |
0.100855 | + | 0.994901i | \(0.467842\pi\) | |||||||
\(200\) | 1.77439 | + | 13.4621i | 0.125468 | + | 0.951912i | ||||
\(201\) | −0.879044 | − | 0.391376i | −0.0620030 | − | 0.0276055i | ||||
\(202\) | 6.35013 | − | 12.2000i | 0.446794 | − | 0.858389i | ||||
\(203\) | −15.0812 | + | 4.90019i | −1.05849 | + | 0.343926i | ||||
\(204\) | 1.22903 | − | 0.107651i | 0.0860490 | − | 0.00753707i | ||||
\(205\) | 0.0779541 | + | 0.175088i | 0.00544455 | + | 0.0122287i | ||||
\(206\) | 3.29835 | − | 11.8958i | 0.229807 | − | 0.828818i | ||||
\(207\) | 16.7601 | + | 5.44567i | 1.16490 | + | 0.378500i | ||||
\(208\) | 0.225053 | + | 14.4204i | 0.0156046 | + | 0.999878i | ||||
\(209\) | −9.50418 | + | 24.3298i | −0.657418 | + | 1.68293i | ||||
\(210\) | 0.165691 | − | 0.131810i | 0.0114338 | − | 0.00909577i | ||||
\(211\) | 15.0267 | + | 16.6888i | 1.03448 | + | 1.14891i | 0.988693 | + | 0.149955i | \(0.0479130\pi\) |
0.0457872 | + | 0.998951i | \(0.485420\pi\) | |||||||
\(212\) | 1.88147 | + | 4.43123i | 0.129220 | + | 0.304338i | ||||
\(213\) | 0.314893 | + | 0.228783i | 0.0215761 | + | 0.0156760i | ||||
\(214\) | −4.88690 | − | 9.80037i | −0.334062 | − | 0.669940i | ||||
\(215\) | 0.0692577 | − | 0.0769185i | 0.00472334 | − | 0.00524580i | ||||
\(216\) | 0.347187 | − | 1.87484i | 0.0236231 | − | 0.127567i | ||||
\(217\) | 3.90949 | − | 8.78086i | 0.265393 | − | 0.596084i | ||||
\(218\) | −8.28315 | − | 22.1509i | −0.561006 | − | 1.50025i | ||||
\(219\) | −0.207557 | + | 0.359500i | −0.0140254 | + | 0.0242927i | ||||
\(220\) | 1.40527 | − | 2.60640i | 0.0947432 | − | 0.175724i | ||||
\(221\) | −16.5450 | − | 10.7927i | −1.11294 | − | 0.725998i | ||||
\(222\) | 1.12545 | − | 1.36543i | 0.0755355 | − | 0.0916413i | ||||
\(223\) | 13.2744 | − | 1.39519i | 0.888917 | − | 0.0934290i | 0.350949 | − | 0.936394i | \(-0.385859\pi\) |
0.537968 | + | 0.842965i | \(0.319192\pi\) | |||||||
\(224\) | −16.7411 | + | 1.91169i | −1.11856 | + | 0.127730i | ||||
\(225\) | −9.59621 | + | 10.6577i | −0.639748 | + | 0.710512i | ||||
\(226\) | −3.07674 | − | 0.188025i | −0.204661 | − | 0.0125073i | ||||
\(227\) | 1.80288 | − | 17.1533i | 0.119661 | − | 1.13850i | −0.755662 | − | 0.654962i | \(-0.772684\pi\) |
0.875323 | − | 0.483539i | \(-0.160649\pi\) | |||||||
\(228\) | −1.63240 | + | 0.693108i | −0.108108 | + | 0.0459022i | ||||
\(229\) | −2.65743 | + | 8.17872i | −0.175608 | + | 0.540465i | −0.999661 | − | 0.0260478i | \(-0.991708\pi\) |
0.824053 | + | 0.566513i | \(0.191708\pi\) | |||||||
\(230\) | 0.550653 | + | 3.68323i | 0.0363090 | + | 0.242865i | ||||
\(231\) | 1.11111 | − | 0.0516686i | 0.0731057 | − | 0.00339955i | ||||
\(232\) | −15.0113 | − | 1.17912i | −0.985538 | − | 0.0774132i | ||||
\(233\) | −20.3041 | − | 6.59720i | −1.33016 | − | 0.432197i | −0.444191 | − | 0.895932i | \(-0.646509\pi\) |
−0.885974 | + | 0.463736i | \(0.846509\pi\) | |||||||
\(234\) | −11.4286 | + | 10.0705i | −0.747109 | + | 0.658327i | ||||
\(235\) | −0.184441 | + | 0.253862i | −0.0120316 | + | 0.0165601i | ||||
\(236\) | −6.90576 | + | 4.83651i | −0.449527 | + | 0.314830i | ||||
\(237\) | 0.00945290 | − | 0.0444724i | 0.000614032 | − | 0.00288879i | ||||
\(238\) | 10.6557 | − | 20.4720i | 0.690709 | − | 1.32700i | ||||
\(239\) | 20.1020 | − | 14.6049i | 1.30029 | − | 0.944715i | 0.300331 | − | 0.953835i | \(-0.402903\pi\) |
0.999958 | + | 0.00911971i | \(0.00290293\pi\) | |||||||
\(240\) | 0.193246 | − | 0.0554548i | 0.0124740 | − | 0.00357959i | ||||
\(241\) | −13.5910 | + | 7.84676i | −0.875472 | + | 0.505454i | −0.869163 | − | 0.494526i | \(-0.835342\pi\) |
−0.00630923 | + | 0.999980i | \(0.502008\pi\) | |||||||
\(242\) | 14.0024 | − | 6.77739i | 0.900108 | − | 0.435667i | ||||
\(243\) | 2.61789 | − | 1.51144i | 0.167938 | − | 0.0969588i | ||||
\(244\) | −27.5482 | − | 0.478072i | −1.76359 | − | 0.0306054i | ||||
\(245\) | −0.0873729 | − | 0.831297i | −0.00558205 | − | 0.0531096i | ||||
\(246\) | −0.0576550 | + | 0.0367344i | −0.00367595 | + | 0.00234210i | ||||
\(247\) | 27.4131 | + | 7.40557i | 1.74425 | + | 0.471205i | ||||
\(248\) | 6.61956 | − | 6.28364i | 0.420343 | − | 0.399011i | ||||
\(249\) | 0.458288 | + | 1.02933i | 0.0290428 | + | 0.0652313i | ||||
\(250\) | −5.96234 | − | 1.65318i | −0.377092 | − | 0.104556i | ||||
\(251\) | −3.59248 | − | 16.9013i | −0.226755 | − | 1.06680i | −0.933291 | − | 0.359121i | \(-0.883076\pi\) |
0.706536 | − | 0.707677i | \(-0.250257\pi\) | |||||||
\(252\) | −13.0168 | − | 12.1359i | −0.819979 | − | 0.764488i | ||||
\(253\) | −8.98494 | + | 17.3800i | −0.564879 | + | 1.09267i | ||||
\(254\) | −23.3705 | + | 3.49395i | −1.46640 | + | 0.219230i | ||||
\(255\) | −0.0850942 | + | 0.261893i | −0.00532881 | + | 0.0164004i | ||||
\(256\) | −15.3820 | − | 4.40398i | −0.961373 | − | 0.275249i | ||||
\(257\) | 4.87104 | − | 2.16872i | 0.303847 | − | 0.135281i | −0.249149 | − | 0.968465i | \(-0.580151\pi\) |
0.552996 | + | 0.833184i | \(0.313484\pi\) | |||||||
\(258\) | 0.0307875 | + | 0.0203756i | 0.00191674 | + | 0.00126853i | ||||
\(259\) | −10.2288 | − | 31.4811i | −0.635588 | − | 1.95614i | ||||
\(260\) | −2.98230 | − | 1.21170i | −0.184955 | − | 0.0751461i | ||||
\(261\) | −9.34779 | − | 12.8661i | −0.578614 | − | 0.796393i | ||||
\(262\) | −17.0274 | + | 6.36727i | −1.05196 | + | 0.393371i | ||||
\(263\) | −15.2326 | + | 26.3837i | −0.939284 | + | 1.62689i | −0.172474 | + | 0.985014i | \(0.555176\pi\) |
−0.766810 | + | 0.641874i | \(0.778157\pi\) | |||||||
\(264\) | 0.993585 | + | 0.358278i | 0.0611509 | + | 0.0220505i | ||||
\(265\) | −1.07452 | −0.0660072 | ||||||||
\(266\) | −5.47390 | + | 32.7209i | −0.335626 | + | 2.00625i | ||||
\(267\) | −0.167183 | + | 0.375499i | −0.0102314 | + | 0.0229802i | ||||
\(268\) | −16.7780 | + | 3.26308i | −1.02488 | + | 0.199324i | ||||
\(269\) | 6.70573 | − | 7.44747i | 0.408856 | − | 0.454080i | −0.503186 | − | 0.864178i | \(-0.667839\pi\) |
0.912041 | + | 0.410098i | \(0.134506\pi\) | |||||||
\(270\) | 0.354898 | + | 0.234876i | 0.0215984 | + | 0.0142941i | ||||
\(271\) | −11.1921 | + | 4.98302i | −0.679869 | + | 0.302697i | −0.717464 | − | 0.696596i | \(-0.754697\pi\) |
0.0375948 | + | 0.999293i | \(0.488030\pi\) | |||||||
\(272\) | 16.7851 | − | 14.0901i | 1.01774 | − | 0.854339i | ||||
\(273\) | −0.186713 | − | 1.19471i | −0.0113004 | − | 0.0723070i | ||||
\(274\) | −4.79312 | + | 12.1698i | −0.289563 | + | 0.735207i | ||||
\(275\) | −9.94709 | − | 12.4327i | −0.599832 | − | 0.749720i | ||||
\(276\) | −1.27030 | + | 0.388511i | −0.0764633 | + | 0.0233856i | ||||
\(277\) | −2.91398 | − | 13.7092i | −0.175084 | − | 0.823706i | −0.974757 | − | 0.223269i | \(-0.928327\pi\) |
0.799673 | − | 0.600436i | \(-0.205006\pi\) | |||||||
\(278\) | 4.60134 | + | 17.7883i | 0.275970 | + | 1.06687i | ||||
\(279\) | 9.58696 | + | 1.00763i | 0.573957 | + | 0.0603253i | ||||
\(280\) | 1.06761 | − | 3.60621i | 0.0638021 | − | 0.215512i | ||||
\(281\) | 5.36692 | − | 1.74382i | 0.320164 | − | 0.104028i | −0.144526 | − | 0.989501i | \(-0.546166\pi\) |
0.464690 | + | 0.885473i | \(0.346166\pi\) | |||||||
\(282\) | −0.0992832 | − | 0.0516772i | −0.00591223 | − | 0.00307733i | ||||
\(283\) | −0.0825131 | − | 0.785060i | −0.00490489 | − | 0.0466669i | 0.991796 | − | 0.127833i | \(-0.0408022\pi\) |
−0.996701 | + | 0.0811662i | \(0.974136\pi\) | |||||||
\(284\) | 6.91293 | + | 0.119967i | 0.410207 | + | 0.00711874i | ||||
\(285\) | − | 0.395837i | − | 0.0234474i | ||||||
\(286\) | −8.97373 | − | 14.3343i | −0.530628 | − | 0.847605i | ||||
\(287\) | 1.27885i | 0.0754884i | ||||||||
\(288\) | −7.01172 | − | 15.3755i | −0.413170 | − | 0.906012i | ||||
\(289\) | 1.36064 | + | 12.9456i | 0.0800374 | + | 0.761505i | ||||
\(290\) | 1.55172 | − | 2.98119i | 0.0911202 | − | 0.175062i | ||||
\(291\) | 0.817806 | − | 0.265721i | 0.0479406 | − | 0.0155769i | ||||
\(292\) | 0.643409 | + | 7.34566i | 0.0376527 | + | 0.429872i | ||||
\(293\) | 14.2680 | + | 1.49962i | 0.833544 | + | 0.0876090i | 0.511679 | − | 0.859177i | \(-0.329024\pi\) |
0.321865 | + | 0.946786i | \(0.395690\pi\) | |||||||
\(294\) | 0.288651 | − | 0.0746659i | 0.0168345 | − | 0.00435460i | ||||
\(295\) | −0.391249 | − | 1.84068i | −0.0227794 | − | 0.107169i | ||||
\(296\) | 2.46134 | − | 31.3350i | 0.143063 | − | 1.82131i | ||||
\(297\) | 0.788935 | + | 2.09200i | 0.0457786 | + | 0.121390i | ||||
\(298\) | −19.4052 | − | 7.64279i | −1.12412 | − | 0.442735i | ||||
\(299\) | 19.8412 | + | 7.66302i | 1.14744 | + | 0.443164i | ||||
\(300\) | 0.131638 | − | 1.07300i | 0.00760013 | − | 0.0619498i | ||||
\(301\) | 0.630932 | − | 0.280909i | 0.0363663 | − | 0.0161913i | ||||
\(302\) | 6.84659 | − | 10.3452i | 0.393977 | − | 0.595300i | ||||
\(303\) | −0.732695 | + | 0.813740i | −0.0420922 | + | 0.0467481i | ||||
\(304\) | −16.6882 | + | 26.7188i | −0.957137 | + | 1.53243i | ||||
\(305\) | 2.50132 | − | 5.61805i | 0.143225 | − | 0.321689i | ||||
\(306\) | 22.8290 | + | 3.81907i | 1.30505 | + | 0.218322i | ||||
\(307\) | −17.5767 | −1.00315 | −0.501577 | − | 0.865113i | \(-0.667247\pi\) | ||||
−0.501577 | + | 0.865113i | \(0.667247\pi\) | |||||||
\(308\) | 15.6399 | − | 12.0740i | 0.891166 | − | 0.687982i | ||||
\(309\) | −0.491405 | + | 0.851138i | −0.0279550 | + | 0.0484195i | ||||
\(310\) | 0.713527 | + | 1.90812i | 0.0405256 | + | 0.108374i | ||||
\(311\) | 5.32521 | + | 7.32952i | 0.301965 | + | 0.415619i | 0.932854 | − | 0.360254i | \(-0.117310\pi\) |
−0.630890 | + | 0.775873i | \(0.717310\pi\) | |||||||
\(312\) | 0.270165 | − | 1.11598i | 0.0152951 | − | 0.0631800i | ||||
\(313\) | −2.75783 | − | 8.48772i | −0.155882 | − | 0.479754i | 0.842368 | − | 0.538903i | \(-0.181161\pi\) |
−0.998249 | + | 0.0591492i | \(0.981161\pi\) | |||||||
\(314\) | −6.99527 | + | 10.5699i | −0.394766 | + | 0.596492i | ||||
\(315\) | 3.62879 | − | 1.61564i | 0.204459 | − | 0.0910310i | ||||
\(316\) | −0.315638 | − | 0.743388i | −0.0177560 | − | 0.0418189i | ||||
\(317\) | 0.329628 | − | 1.01449i | 0.0185137 | − | 0.0569794i | −0.941373 | − | 0.337368i | \(-0.890463\pi\) |
0.959887 | + | 0.280389i | \(0.0904633\pi\) | |||||||
\(318\) | −0.0566707 | − | 0.379062i | −0.00317794 | − | 0.0212567i | ||||
\(319\) | 15.7790 | − | 7.92305i | 0.883454 | − | 0.443606i | ||||
\(320\) | 2.24660 | − | 2.77604i | 0.125589 | − | 0.155186i | ||||
\(321\) | 0.181273 | + | 0.852824i | 0.0101177 | + | 0.0476000i | ||||
\(322\) | −6.63963 | + | 23.9464i | −0.370012 | + | 1.33448i | ||||
\(323\) | −17.5500 | − | 39.4180i | −0.976509 | − | 2.19328i | ||||
\(324\) | 7.50920 | − | 16.1078i | 0.417178 | − | 0.894877i | ||||
\(325\) | −12.2646 | + | 12.2144i | −0.680315 | + | 0.677532i | ||||
\(326\) | 5.45212 | + | 8.55716i | 0.301965 | + | 0.473937i | ||||
\(327\) | 0.196806 | + | 1.87249i | 0.0108834 | + | 0.103549i | ||||
\(328\) | −0.464541 | + | 1.12198i | −0.0256500 | + | 0.0619511i | ||||
\(329\) | −1.81328 | + | 1.04690i | −0.0999695 | + | 0.0577174i | ||||
\(330\) | −0.160281 | + | 0.172878i | −0.00882317 | + | 0.00951660i | ||||
\(331\) | −15.2528 | + | 8.80619i | −0.838368 | + | 0.484032i | −0.856709 | − | 0.515800i | \(-0.827495\pi\) |
0.0183412 | + | 0.999832i | \(0.494161\pi\) | |||||||
\(332\) | 17.1569 | + | 10.3066i | 0.941609 | + | 0.565646i | ||||
\(333\) | 26.8572 | − | 19.5129i | 1.47177 | − | 1.06930i | ||||
\(334\) | 9.86793 | + | 5.13628i | 0.539949 | + | 0.281045i | ||||
\(335\) | 0.793193 | − | 3.73168i | 0.0433368 | − | 0.203883i | ||||
\(336\) | 1.32848 | + | 0.186432i | 0.0724746 | + | 0.0101707i | ||||
\(337\) | −0.412822 | + | 0.568201i | −0.0224878 | + | 0.0309519i | −0.820113 | − | 0.572202i | \(-0.806089\pi\) |
0.797625 | + | 0.603154i | \(0.206089\pi\) | |||||||
\(338\) | −14.4343 | + | 11.3864i | −0.785123 | + | 0.619340i | ||||
\(339\) | 0.233399 | + | 0.0758359i | 0.0126765 | + | 0.00411884i | ||||
\(340\) | 1.43060 | + | 4.67760i | 0.0775853 | + | 0.253678i | ||||
\(341\) | −2.83084 | + | 10.3212i | −0.153299 | + | 0.558925i | ||||
\(342\) | −32.9063 | + | 4.91957i | −1.77937 | + | 0.266020i | ||||
\(343\) | −4.71968 | + | 14.5257i | −0.254839 | + | 0.784314i | ||||
\(344\) | 0.655578 | − | 0.0172663i | 0.0353464 | − | 0.000930939i | ||||
\(345\) | 0.0309925 | − | 0.294874i | 0.00166858 | − | 0.0158755i | ||||
\(346\) | −1.81844 | + | 29.7559i | −0.0977599 | + | 1.59969i | ||||
\(347\) | −15.5072 | + | 17.2225i | −0.832471 | + | 0.924553i | −0.998099 | − | 0.0616353i | \(-0.980368\pi\) |
0.165627 | + | 0.986188i | \(0.447035\pi\) | |||||||
\(348\) | 1.13352 | + | 0.390176i | 0.0607633 | + | 0.0209156i | ||||
\(349\) | −30.8283 | + | 3.24019i | −1.65020 | + | 0.173443i | −0.883459 | − | 0.468509i | \(-0.844791\pi\) |
−0.766745 | + | 0.641952i | \(0.778125\pi\) | |||||||
\(350\) | −15.6052 | − | 12.8626i | −0.834131 | − | 0.687534i | ||||
\(351\) | 2.16793 | − | 1.09902i | 0.115716 | − | 0.0586615i | ||||
\(352\) | 18.1073 | − | 4.91181i | 0.965122 | − | 0.261800i | ||||
\(353\) | 6.18496 | − | 10.7127i | 0.329192 | − | 0.570178i | −0.653159 | − | 0.757220i | \(-0.726557\pi\) |
0.982352 | + | 0.187043i | \(0.0598902\pi\) | |||||||
\(354\) | 0.628709 | − | 0.235101i | 0.0334155 | − | 0.0124955i | ||||
\(355\) | −0.627680 | + | 1.40979i | −0.0333138 | + | 0.0748240i | ||||
\(356\) | 1.39388 | + | 7.16703i | 0.0738755 | + | 0.379852i | ||||
\(357\) | −1.22949 | + | 1.36548i | −0.0650713 | + | 0.0722690i | ||||
\(358\) | 30.8605 | − | 15.3884i | 1.63103 | − | 0.813304i | ||||
\(359\) | −5.18444 | − | 3.76671i | −0.273624 | − | 0.198800i | 0.442508 | − | 0.896765i | \(-0.354089\pi\) |
−0.716132 | + | 0.697965i | \(0.754089\pi\) | |||||||
\(360\) | 3.77054 | − | 0.0993069i | 0.198725 | − | 0.00523393i | ||||
\(361\) | 28.7890 | + | 31.9734i | 1.51521 | + | 1.68281i | ||||
\(362\) | −2.08213 | − | 2.61733i | −0.109435 | − | 0.137564i | ||||
\(363\) | −1.21440 | + | 0.243209i | −0.0637394 | + | 0.0127652i | ||||
\(364\) | −14.8908 | − | 15.4801i | −0.780488 | − | 0.811378i | ||||
\(365\) | −1.56529 | − | 0.508592i | −0.0819308 | − | 0.0266209i | ||||
\(366\) | 2.11382 | + | 0.586099i | 0.110491 | + | 0.0306359i | ||||
\(367\) | 7.62713 | + | 17.1308i | 0.398133 | + | 0.894221i | 0.995720 | + | 0.0924172i | \(0.0294594\pi\) |
−0.597588 | + | 0.801804i | \(0.703874\pi\) | |||||||
\(368\) | −14.5237 | + | 18.5972i | −0.757099 | + | 0.969446i | ||||
\(369\) | −1.21980 | + | 0.396336i | −0.0635000 | + | 0.0206324i | ||||
\(370\) | 6.22305 | + | 3.23912i | 0.323521 | + | 0.168394i | ||||
\(371\) | −6.54997 | − | 2.91623i | −0.340058 | − | 0.151403i | ||||
\(372\) | −0.635503 | + | 0.352349i | −0.0329493 | + | 0.0182684i | ||||
\(373\) | −2.86085 | + | 1.65171i | −0.148129 | + | 0.0855224i | −0.572233 | − | 0.820091i | \(-0.693923\pi\) |
0.424104 | + | 0.905614i | \(0.360589\pi\) | |||||||
\(374\) | −8.29620 | + | 24.3217i | −0.428987 | + | 1.25764i | ||||
\(375\) | 0.426603 | + | 0.246299i | 0.0220297 | + | 0.0127188i | ||||
\(376\) | −1.97114 | + | 0.259809i | −0.101654 | + | 0.0133986i | ||||
\(377\) | −10.4211 | − | 16.1194i | −0.536715 | − | 0.830190i | ||||
\(378\) | 1.52591 | + | 2.39493i | 0.0784843 | + | 0.123182i | ||||
\(379\) | 3.68915 | − | 17.3561i | 0.189499 | − | 0.891522i | −0.775923 | − | 0.630828i | \(-0.782715\pi\) |
0.965421 | − | 0.260694i | \(-0.0839514\pi\) | |||||||
\(380\) | −4.03360 | − | 5.75934i | −0.206919 | − | 0.295448i | ||||
\(381\) | 1.87101 | + | 0.196651i | 0.0958546 | + | 0.0100747i | ||||
\(382\) | −18.1033 | + | 4.68281i | −0.926245 | + | 0.239593i | ||||
\(383\) | 3.11757 | + | 14.6670i | 0.159300 | + | 0.749448i | 0.983173 | + | 0.182674i | \(0.0584754\pi\) |
−0.823873 | + | 0.566774i | \(0.808191\pi\) | |||||||
\(384\) | 1.09780 | + | 0.646131i | 0.0560219 | + | 0.0329728i | ||||
\(385\) | 1.11629 | + | 4.26645i | 0.0568916 | + | 0.217439i | ||||
\(386\) | −3.25512 | − | 21.7730i | −0.165681 | − | 1.10822i | ||||
\(387\) | 0.463472 | + | 0.514738i | 0.0235596 | + | 0.0261656i | ||||
\(388\) | 9.19117 | − | 12.1997i | 0.466611 | − | 0.619344i | ||||
\(389\) | −8.59737 | − | 6.24635i | −0.435904 | − | 0.316703i | 0.348101 | − | 0.937457i | \(-0.386826\pi\) |
−0.784005 | + | 0.620754i | \(0.786826\pi\) | |||||||
\(390\) | 0.205710 | + | 0.152855i | 0.0104166 | + | 0.00774012i | ||||
\(391\) | −9.98739 | − | 30.7380i | −0.505084 | − | 1.55449i | ||||
\(392\) | 3.43896 | − | 4.02774i | 0.173694 | − | 0.203432i | ||||
\(393\) | 1.43938 | − | 0.151285i | 0.0726073 | − | 0.00763134i | ||||
\(394\) | −0.206668 | − | 0.0345736i | −0.0104118 | − | 0.00174179i | ||||
\(395\) | 0.180262 | 0.00906999 | ||||||||
\(396\) | 16.3635 | + | 11.1757i | 0.822296 | + | 0.561601i | ||||
\(397\) | 1.41481 | + | 2.45053i | 0.0710075 | + | 0.122989i | 0.899343 | − | 0.437244i | \(-0.144045\pi\) |
−0.828336 | + | 0.560232i | \(0.810712\pi\) | |||||||
\(398\) | 10.4077 | − | 12.6268i | 0.521689 | − | 0.632925i | ||||
\(399\) | 1.07430 | − | 2.41291i | 0.0537822 | − | 0.120797i | ||||
\(400\) | −9.01864 | − | 16.9533i | −0.450932 | − | 0.847667i | ||||
\(401\) | −20.5039 | − | 4.35824i | −1.02392 | − | 0.217640i | −0.334798 | − | 0.942290i | \(-0.608668\pi\) |
−0.689117 | + | 0.724650i | \(0.742002\pi\) | |||||||
\(402\) | 1.35827 | + | 0.0830065i | 0.0677444 | + | 0.00413999i | ||||
\(403\) | 11.4877 | + | 1.84363i | 0.572245 | + | 0.0918376i | ||||
\(404\) | −2.36849 | + | 19.3059i | −0.117837 | + | 0.960505i | ||||
\(405\) | 2.65428 | + | 2.94788i | 0.131892 | + | 0.146481i | ||||
\(406\) | 17.5498 | − | 13.9612i | 0.870982 | − | 0.692882i | ||||
\(407\) | 16.5389 | + | 32.9376i | 0.819801 | + | 1.63266i | ||||
\(408\) | −1.57468 | + | 0.751377i | −0.0779583 | + | 0.0371987i | ||||
\(409\) | −5.01634 | − | 23.6000i | −0.248042 | − | 1.16695i | −0.909089 | − | 0.416602i | \(-0.863221\pi\) |
0.661047 | − | 0.750344i | \(-0.270112\pi\) | |||||||
\(410\) | −0.189987 | − | 0.193313i | −0.00938281 | − | 0.00954705i | ||||
\(411\) | 0.612082 | − | 0.842459i | 0.0301918 | − | 0.0415555i | ||||
\(412\) | 1.52331 | + | 17.3913i | 0.0750482 | + | 0.856807i | ||||
\(413\) | 2.61065 | − | 12.2822i | 0.128462 | − | 0.604365i | ||||
\(414\) | −24.8983 | + | 1.08834i | −1.22368 | + | 0.0534891i | ||||
\(415\) | −3.61412 | + | 2.62581i | −0.177410 | + | 0.128896i | ||||
\(416\) | −7.44106 | − | 18.9903i | −0.364828 | − | 0.931075i | ||||
\(417\) | − | 1.46283i | − | 0.0716349i | ||||||
\(418\) | 0.538107 | − | 36.9357i | 0.0263197 | − | 1.80659i | ||||
\(419\) | 20.4128 | + | 11.7854i | 0.997232 | + | 0.575752i | 0.907428 | − | 0.420207i | \(-0.138043\pi\) |
0.0898040 | + | 0.995959i | \(0.471376\pi\) | |||||||
\(420\) | −0.154189 | + | 0.256672i | −0.00752365 | + | 0.0125243i | ||||
\(421\) | 21.4127 | − | 15.5573i | 1.04359 | − | 0.758215i | 0.0726095 | − | 0.997360i | \(-0.476867\pi\) |
0.970984 | + | 0.239146i | \(0.0768673\pi\) | |||||||
\(422\) | −28.1714 | − | 14.6633i | −1.37136 | − | 0.713797i | ||||
\(423\) | −1.56052 | − | 1.40509i | −0.0758749 | − | 0.0683180i | ||||
\(424\) | −4.68720 | − | 4.93778i | −0.227631 | − | 0.239800i | ||||
\(425\) | 26.1580 | + | 2.74931i | 1.26885 | + | 0.133361i | ||||
\(426\) | −0.530441 | − | 0.147076i | −0.0257000 | − | 0.00712583i | ||||
\(427\) | 30.4947 | − | 27.4576i | 1.47574 | − | 1.32876i | ||||
\(428\) | 11.3278 | + | 10.5612i | 0.547550 | + | 0.510495i | ||||
\(429\) | 0.405880 | + | 1.28377i | 0.0195961 | + | 0.0619811i | ||||
\(430\) | −0.0536404 | + | 0.136194i | −0.00258677 | + | 0.00656787i | ||||
\(431\) | 10.1800 | + | 11.3060i | 0.490352 | + | 0.544591i | 0.936638 | − | 0.350300i | \(-0.113920\pi\) |
−0.446286 | + | 0.894890i | \(0.647254\pi\) | |||||||
\(432\) | 0.468779 | + | 2.65544i | 0.0225541 | + | 0.127760i | ||||
\(433\) | −2.24005 | + | 21.3126i | −0.107650 | + | 1.02422i | 0.798711 | + | 0.601715i | \(0.205516\pi\) |
−0.906361 | + | 0.422504i | \(0.861151\pi\) | |||||||
\(434\) | −0.829160 | + | 13.5679i | −0.0398009 | + | 0.651280i | ||||
\(435\) | −0.179041 | + | 0.198846i | −0.00858438 | + | 0.00953392i | ||||
\(436\) | 21.9442 | + | 25.2388i | 1.05094 | + | 1.20872i | ||||
\(437\) | 27.3078 | + | 37.5860i | 1.30631 | + | 1.79798i | ||||
\(438\) | 0.0968637 | − | 0.579014i | 0.00462833 | − | 0.0276664i | ||||
\(439\) | −3.86227 | + | 6.68965i | −0.184336 | + | 0.319279i | −0.943353 | − | 0.331792i | \(-0.892347\pi\) |
0.759017 | + | 0.651071i | \(0.225680\pi\) | |||||||
\(440\) | −0.570418 | + | 4.14860i | −0.0271936 | + | 0.197777i | ||||
\(441\) | 5.59367 | 0.266365 | ||||||||
\(442\) | 27.2620 | + | 6.10106i | 1.29672 | + | 0.290198i | ||||
\(443\) | −0.0241097 | − | 0.0331841i | −0.00114548 | − | 0.00157662i | 0.808444 | − | 0.588573i | \(-0.200310\pi\) |
−0.809589 | + | 0.586997i | \(0.800310\pi\) | |||||||
\(444\) | −0.814467 | + | 2.36616i | −0.0386529 | + | 0.112293i | ||||
\(445\) | −1.59405 | − | 0.338826i | −0.0755653 | − | 0.0160619i | ||||
\(446\) | −16.8925 | + | 8.42337i | −0.799884 | + | 0.398858i | ||||
\(447\) | 1.34333 | + | 0.975987i | 0.0635374 | + | 0.0461626i | ||||
\(448\) | 21.2288 | − | 10.8247i | 1.00297 | − | 0.511421i | ||||
\(449\) | −26.1004 | + | 5.54782i | −1.23176 | + | 0.261818i | −0.777402 | − | 0.629004i | \(-0.783463\pi\) |
−0.454353 | + | 0.890822i | \(0.650130\pi\) | |||||||
\(450\) | 7.43231 | − | 18.8708i | 0.350362 | − | 0.889578i | ||||
\(451\) | −0.214465 | − | 1.40771i | −0.0100988 | − | 0.0662864i | ||||
\(452\) | 4.16867 | − | 1.27495i | 0.196078 | − | 0.0599687i | ||||
\(453\) | −0.733981 | + | 0.660879i | −0.0344854 | + | 0.0310508i | ||||
\(454\) | 6.10846 | + | 23.6147i | 0.286684 | + | 1.10829i | ||||
\(455\) | 4.47933 | − | 1.70893i | 0.209994 | − | 0.0801157i | ||||
\(456\) | 1.81901 | − | 1.72670i | 0.0851828 | − | 0.0808600i | ||||
\(457\) | 4.33824 | − | 20.4098i | 0.202934 | − | 0.954731i | −0.752286 | − | 0.658836i | \(-0.771049\pi\) |
0.955221 | − | 0.295895i | \(-0.0956177\pi\) | |||||||
\(458\) | −0.531099 | − | 12.1501i | −0.0248166 | − | 0.567736i | ||||
\(459\) | −3.37407 | − | 1.50223i | −0.157488 | − | 0.0701181i | ||||
\(460\) | −2.55384 | − | 4.60616i | −0.119074 | − | 0.214763i | ||||
\(461\) | −23.7151 | + | 13.6919i | −1.10452 | + | 0.637695i | −0.937405 | − | 0.348242i | \(-0.886779\pi\) |
−0.167116 | + | 0.985937i | \(0.553445\pi\) | |||||||
\(462\) | −1.44622 | + | 0.618814i | −0.0672841 | + | 0.0287898i | ||||
\(463\) | 26.5155i | 1.23228i | 0.787637 | + | 0.616140i | \(0.211304\pi\) | ||||
−0.787637 | + | 0.616140i | \(0.788696\pi\) | |||||||
\(464\) | 20.4684 | − | 5.87370i | 0.950223 | − | 0.272680i | ||||
\(465\) | −0.0169533 | − | 0.161300i | −0.000786190 | − | 0.00748010i | ||||
\(466\) | 30.1632 | − | 1.31848i | 1.39728 | − | 0.0610774i | ||||
\(467\) | −33.6395 | + | 10.9301i | −1.55665 | + | 0.505787i | −0.955911 | − | 0.293657i | \(-0.905128\pi\) |
−0.600741 | + | 0.799444i | \(0.705128\pi\) | |||||||
\(468\) | 10.1504 | − | 19.0006i | 0.469201 | − | 0.878304i | ||||
\(469\) | 14.9628 | − | 20.5946i | 0.690919 | − | 0.950969i | ||||
\(470\) | 0.118570 | − | 0.427633i | 0.00546922 | − | 0.0197252i | ||||
\(471\) | 0.749919 | − | 0.675230i | 0.0345544 | − | 0.0311130i | ||||
\(472\) | 6.75188 | − | 9.82724i | 0.310781 | − | 0.452336i | ||||
\(473\) | −0.647394 | + | 0.415021i | −0.0297672 | + | 0.0190827i | ||||
\(474\) | 0.00950714 | + | 0.0635918i | 0.000436677 | + | 0.00292087i | ||||
\(475\) | −36.9822 | + | 7.86081i | −1.69686 | + | 0.360679i | ||||
\(476\) | −3.97441 | + | 32.3960i | −0.182167 | + | 1.48487i | ||||
\(477\) | 0.751629 | − | 7.15127i | 0.0344147 | − | 0.327434i | ||||
\(478\) | −19.3933 | + | 29.3034i | −0.887031 | + | 1.34030i | ||||
\(479\) | −39.2222 | − | 8.33694i | −1.79211 | − | 0.380925i | −0.812680 | − | 0.582710i | \(-0.801992\pi\) |
−0.979430 | + | 0.201785i | \(0.935326\pi\) | |||||||
\(480\) | −0.228511 | + | 0.169179i | −0.0104301 | + | 0.00772191i | ||||
\(481\) | 33.6481 | − | 21.7534i | 1.53422 | − | 0.991870i | ||||
\(482\) | 14.1162 | − | 17.1261i | 0.642977 | − | 0.780074i | ||||
\(483\) | 0.989206 | − | 1.71336i | 0.0450105 | − | 0.0779604i | ||||
\(484\) | −15.1909 | + | 15.9134i | −0.690495 | + | 0.723337i | ||||
\(485\) | 1.70464 | + | 2.95253i | 0.0774038 | + | 0.134067i | ||||
\(486\) | −2.71906 | + | 3.29883i | −0.123339 | + | 0.149638i | ||||
\(487\) | 2.81254 | − | 6.31707i | 0.127448 | − | 0.286254i | −0.838540 | − | 0.544841i | \(-0.816590\pi\) |
0.965988 | + | 0.258587i | \(0.0832568\pi\) | |||||||
\(488\) | 36.7280 | − | 13.0123i | 1.66260 | − | 0.589040i | ||||
\(489\) | −0.249626 | − | 0.768270i | −0.0112885 | − | 0.0347424i | ||||
\(490\) | 0.527507 | + | 1.05788i | 0.0238303 | + | 0.0477902i | ||||
\(491\) | 6.80330 | − | 3.02902i | 0.307029 | − | 0.136698i | −0.247438 | − | 0.968904i | \(-0.579589\pi\) |
0.554467 | + | 0.832206i | \(0.312922\pi\) | |||||||
\(492\) | 0.0581756 | − | 0.0772179i | 0.00262276 | − | 0.00348125i | ||||
\(493\) | −9.01308 | + | 27.7394i | −0.405929 | + | 1.24932i | ||||
\(494\) | −39.9804 | + | 3.76900i | −1.79880 | + | 0.169575i | ||||
\(495\) | −3.72347 | + | 2.38698i | −0.167358 | + | 0.107287i | ||||
\(496\) | −5.65596 | + | 11.6024i | −0.253960 | + | 0.520963i | ||||
\(497\) | −7.65233 | + | 6.89019i | −0.343254 | + | 0.309067i | ||||
\(498\) | −1.11693 | − | 1.13648i | −0.0500507 | − | 0.0509268i | ||||
\(499\) | 3.64270 | − | 5.01374i | 0.163070 | − | 0.224446i | −0.719661 | − | 0.694326i | \(-0.755703\pi\) |
0.882730 | + | 0.469880i | \(0.155703\pi\) | |||||||
\(500\) | 8.71677 | − | 0.763506i | 0.389826 | − | 0.0341450i | ||||
\(501\) | −0.658191 | − | 0.592638i | −0.0294058 | − | 0.0264771i | ||||
\(502\) | 13.1305 | + | 20.6084i | 0.586042 | + | 0.919800i | ||||
\(503\) | −15.1295 | − | 6.73608i | −0.674591 | − | 0.300347i | 0.0407027 | − | 0.999171i | \(-0.487040\pi\) |
−0.715294 | + | 0.698824i | \(0.753707\pi\) | |||||||
\(504\) | 23.2537 | + | 9.62787i | 1.03580 | + | 0.428859i | ||||
\(505\) | −3.75978 | − | 2.17071i | −0.167308 | − | 0.0965952i | ||||
\(506\) | 3.29278 | − | 27.4727i | 0.146382 | − | 1.22131i | ||||
\(507\) | 1.33958 | − | 0.589852i | 0.0594930 | − | 0.0261962i | ||||
\(508\) | 29.2266 | − | 16.2044i | 1.29672 | − | 0.718955i | ||||
\(509\) | 1.08317 | + | 10.3056i | 0.0480105 | + | 0.456789i | 0.991946 | + | 0.126660i | \(0.0404257\pi\) |
−0.943936 | + | 0.330129i | \(0.892908\pi\) | |||||||
\(510\) | −0.0170065 | − | 0.389061i | −0.000753060 | − | 0.0172279i | ||||
\(511\) | −8.16124 | − | 7.34841i | −0.361032 | − | 0.325075i | ||||
\(512\) | 22.5569 | − | 1.78558i | 0.996882 | − | 0.0789123i | ||||
\(513\) | 5.28003 | + | 0.554954i | 0.233119 | + | 0.0245018i | ||||
\(514\) | −5.37807 | + | 5.28555i | −0.237217 | + | 0.233136i | ||||
\(515\) | −3.70591 | − | 1.20412i | −0.163302 | − | 0.0530600i | ||||
\(516\) | −0.0508747 | − | 0.0117399i | −0.00223963 | − | 0.000516822i | ||||
\(517\) | 1.82042 | − | 1.45647i | 0.0800619 | − | 0.0640555i | ||||
\(518\) | 29.1431 | + | 36.6341i | 1.28047 | + | 1.60961i | ||||
\(519\) | 0.733428 | − | 2.25726i | 0.0321939 | − | 0.0990827i | ||||
\(520\) | 4.55064 | + | 0.127809i | 0.199559 | + | 0.00560478i | ||||
\(521\) | 24.2151 | + | 17.5933i | 1.06088 | + | 0.770775i | 0.974251 | − | 0.225465i | \(-0.0723902\pi\) |
0.0866301 | + | 0.996241i | \(0.472390\pi\) | |||||||
\(522\) | 18.7554 | + | 12.4126i | 0.820901 | + | 0.543283i | ||||
\(523\) | 14.6195 | + | 3.10746i | 0.639265 | + | 0.135880i | 0.516130 | − | 0.856510i | \(-0.327372\pi\) |
0.123134 | + | 0.992390i | \(0.460705\pi\) | |||||||
\(524\) | 19.4011 | − | 16.8686i | 0.847541 | − | 0.736906i | ||||
\(525\) | 0.946358 | + | 1.30255i | 0.0413025 | + | 0.0568480i | ||||
\(526\) | 7.10883 | − | 42.4939i | 0.309960 | − | 1.85282i | ||||
\(527\) | −8.83970 | − | 15.3108i | −0.385063 | − | 0.666949i | ||||
\(528\) | −1.49360 | + | 0.0175712i | −0.0650006 | + | 0.000764688i | ||||
\(529\) | 5.89978 | + | 10.2187i | 0.256512 | + | 0.444292i | ||||
\(530\) | 1.42334 | − | 0.532247i | 0.0618259 | − | 0.0231193i | ||||
\(531\) | 12.5240 | − | 1.31633i | 0.543497 | − | 0.0571238i | ||||
\(532\) | −8.95691 | − | 46.0545i | −0.388331 | − | 1.99671i | ||||
\(533\) | −1.49607 | + | 0.397585i | −0.0648019 | + | 0.0172213i | ||||
\(534\) | 0.0354577 | − | 0.580209i | 0.00153440 | − | 0.0251081i | ||||
\(535\) | −3.15795 | + | 1.40601i | −0.136530 | + | 0.0607870i | ||||
\(536\) | 20.6084 | − | 12.6331i | 0.890145 | − | 0.545667i | ||||
\(537\) | −2.68547 | + | 0.570814i | −0.115887 | + | 0.0246324i | ||||
\(538\) | −5.19362 | + | 13.1867i | −0.223913 | + | 0.568520i | ||||
\(539\) | −1.00762 | + | 6.12799i | −0.0434014 | + | 0.263951i | ||||
\(540\) | −0.586451 | − | 0.135330i | −0.0252368 | − | 0.00582369i | ||||
\(541\) | −14.3557 | − | 4.66446i | −0.617201 | − | 0.200541i | −0.0163038 | − | 0.999867i | \(-0.505190\pi\) |
−0.600897 | + | 0.799326i | \(0.705190\pi\) | |||||||
\(542\) | 12.3571 | − | 12.1445i | 0.530781 | − | 0.521650i | ||||
\(543\) | 0.108302 | + | 0.243251i | 0.00464770 | + | 0.0104389i | ||||
\(544\) | −15.2547 | + | 26.9784i | −0.654038 | + | 1.15669i | ||||
\(545\) | −7.09953 | + | 2.30678i | −0.304111 | + | 0.0988115i | ||||
\(546\) | 0.839106 | + | 1.49006i | 0.0359104 | + | 0.0637687i | ||||
\(547\) | −35.2088 | + | 25.5807i | −1.50542 | + | 1.09375i | −0.537259 | + | 0.843417i | \(0.680540\pi\) |
−0.968160 | + | 0.250334i | \(0.919460\pi\) | |||||||
\(548\) | 0.320958 | − | 18.4947i | 0.0137106 | − | 0.790056i | ||||
\(549\) | 35.6403 | + | 20.5769i | 1.52109 | + | 0.878203i | ||||
\(550\) | 19.3346 | + | 11.5416i | 0.824428 | + | 0.492134i | ||||
\(551\) | − | 41.9266i | − | 1.78613i | ||||||
\(552\) | 1.49024 | − | 1.14386i | 0.0634288 | − | 0.0486859i | ||||
\(553\) | 1.09883 | + | 0.489231i | 0.0467270 | + | 0.0208042i | ||||
\(554\) | 10.6506 | + | 16.7162i | 0.452500 | + | 0.710204i | ||||
\(555\) | −0.415078 | − | 0.373738i | −0.0176191 | − | 0.0158643i | ||||
\(556\) | −14.9063 | − | 21.2838i | −0.632166 | − | 0.902633i | ||||
\(557\) | −1.66418 | − | 3.73780i | −0.0705134 | − | 0.158376i | 0.874850 | − | 0.484394i | \(-0.160960\pi\) |
−0.945364 | + | 0.326018i | \(0.894293\pi\) | |||||||
\(558\) | −13.1983 | + | 3.41402i | −0.558728 | + | 0.144527i | ||||
\(559\) | 0.524774 | + | 0.650765i | 0.0221956 | + | 0.0275244i | ||||
\(560\) | 0.372089 | + | 5.30572i | 0.0157236 | + | 0.224207i | ||||
\(561\) | 1.12437 | − | 1.70925i | 0.0474711 | − | 0.0721647i | ||||
\(562\) | −6.24541 | + | 4.96834i | −0.263447 | + | 0.209577i | ||||
\(563\) | −22.8581 | + | 4.85863i | −0.963353 | + | 0.204767i | −0.662632 | − | 0.748945i | \(-0.730561\pi\) |
−0.300721 | + | 0.953712i | \(0.597227\pi\) | |||||||
\(564\) | 0.157111 | + | 0.0192747i | 0.00661556 | + | 0.000811611i | ||||
\(565\) | −0.101706 | + | 0.967668i | −0.00427880 | + | 0.0407101i | ||||
\(566\) | 0.498167 | + | 0.999041i | 0.0209395 | + | 0.0419928i | ||||
\(567\) | 8.17926 | + | 25.1732i | 0.343497 | + | 1.05717i | ||||
\(568\) | −9.21650 | + | 3.26531i | −0.386716 | + | 0.137009i | ||||
\(569\) | −24.4949 | + | 2.57452i | −1.02688 | + | 0.107930i | −0.602961 | − | 0.797770i | \(-0.706013\pi\) |
−0.423919 | + | 0.905700i | \(0.639346\pi\) | |||||||
\(570\) | 0.196072 | + | 0.524337i | 0.00821255 | + | 0.0219621i | ||||
\(571\) | 38.0826 | 1.59371 | 0.796855 | − | 0.604171i | \(-0.206496\pi\) | ||||
0.796855 | + | 0.604171i | \(0.206496\pi\) | |||||||
\(572\) | 18.9871 | + | 14.5426i | 0.793892 | + | 0.608058i | ||||
\(573\) | 1.48872 | 0.0621924 | ||||||||
\(574\) | −0.633461 | − | 1.69401i | −0.0264402 | − | 0.0707065i | ||||
\(575\) | −28.1649 | + | 2.96025i | −1.17456 | + | 0.123451i | ||||
\(576\) | 16.9040 | + | 16.8937i | 0.704332 | + | 0.703905i | ||||
\(577\) | −14.2596 | − | 43.8865i | −0.593634 | − | 1.82702i | −0.561410 | − | 0.827538i | \(-0.689741\pi\) |
−0.0322247 | − | 0.999481i | \(-0.510259\pi\) | |||||||
\(578\) | −8.21474 | − | 16.4741i | −0.341688 | − | 0.685234i | ||||
\(579\) | −0.183208 | + | 1.74311i | −0.00761388 | + | 0.0724412i | ||||
\(580\) | −0.578765 | + | 4.71760i | −0.0240319 | + | 0.195888i | ||||
\(581\) | −29.1571 | + | 6.19753i | −1.20964 | + | 0.257117i | ||||
\(582\) | −0.951669 | + | 0.757070i | −0.0394479 | + | 0.0313816i | ||||
\(583\) | 7.69898 | + | 2.11163i | 0.318859 | + | 0.0874548i | ||||
\(584\) | −4.49084 | − | 9.41157i | −0.185832 | − | 0.389454i | ||||
\(585\) | 3.01822 | + | 3.74285i | 0.124788 | + | 0.154748i | ||||
\(586\) | −19.6426 | + | 5.08098i | −0.811428 | + | 0.209893i | ||||
\(587\) | −0.172495 | − | 0.387429i | −0.00711962 | − | 0.0159909i | 0.909951 | − | 0.414717i | \(-0.136119\pi\) |
−0.917070 | + | 0.398726i | \(0.869453\pi\) | |||||||
\(588\) | −0.345372 | + | 0.241884i | −0.0142429 | + | 0.00997512i | ||||
\(589\) | 18.8860 | + | 17.0050i | 0.778183 | + | 0.700679i | ||||
\(590\) | 1.43002 | + | 2.24442i | 0.0588728 | + | 0.0924015i | ||||
\(591\) | 0.0152401 | + | 0.00678535i | 0.000626895 | + | 0.000279112i | ||||
\(592\) | 12.2610 | + | 42.7265i | 0.503923 | + | 1.75605i | ||||
\(593\) | 20.4788i | 0.840961i | 0.907301 | + | 0.420481i | \(0.138139\pi\) | ||||
−0.907301 | + | 0.420481i | \(0.861861\pi\) | |||||||
\(594\) | −2.08129 | − | 2.38034i | −0.0853963 | − | 0.0976666i | ||||
\(595\) | −6.30903 | − | 3.64252i | −0.258645 | − | 0.149329i | ||||
\(596\) | 29.4905 | + | 0.511778i | 1.20798 | + | 0.0209633i | ||||
\(597\) | −1.05395 | + | 0.765739i | −0.0431353 | + | 0.0313396i | ||||
\(598\) | −30.0780 | − | 0.322636i | −1.22998 | − | 0.0131936i | ||||
\(599\) | 4.48712 | − | 1.45795i | 0.183339 | − | 0.0595704i | −0.215909 | − | 0.976414i | \(-0.569271\pi\) |
0.399248 | + | 0.916843i | \(0.369271\pi\) | |||||||
\(600\) | 0.357124 | + | 1.48654i | 0.0145795 | + | 0.0606876i | ||||
\(601\) | −14.7940 | − | 33.2279i | −0.603460 | − | 1.35539i | −0.914341 | − | 0.404945i | \(-0.867291\pi\) |
0.310880 | − | 0.950449i | \(-0.399376\pi\) | |||||||
\(602\) | −0.696607 | + | 0.684623i | −0.0283916 | + | 0.0279032i | ||||
\(603\) | 24.2807 | + | 7.88928i | 0.988787 | + | 0.321276i | ||||
\(604\) | −3.94486 | + | 17.0949i | −0.160514 | + | 0.695583i | ||||
\(605\) | −1.94426 | − | 4.50912i | −0.0790453 | − | 0.183322i | ||||
\(606\) | 0.567475 | − | 1.44083i | 0.0230521 | − | 0.0585299i | ||||
\(607\) | −3.02043 | + | 0.642012i | −0.122595 | + | 0.0260585i | −0.268801 | − | 0.963196i | \(-0.586627\pi\) |
0.146205 | + | 0.989254i | \(0.453294\pi\) | |||||||
\(608\) | 8.87100 | − | 43.6588i | 0.359766 | − | 1.77060i | ||||
\(609\) | −1.63105 | + | 0.726192i | −0.0660936 | + | 0.0294268i | ||||
\(610\) | −0.530502 | + | 8.68083i | −0.0214794 | + | 0.351477i | ||||
\(611\) | −1.78845 | − | 1.79580i | −0.0723530 | − | 0.0726502i | ||||
\(612\) | −32.1317 | + | 6.24913i | −1.29885 | + | 0.252606i | ||||
\(613\) | −24.1218 | + | 2.53530i | −0.974269 | + | 0.102400i | −0.578265 | − | 0.815849i | \(-0.696270\pi\) |
−0.396004 | + | 0.918249i | \(0.629603\pi\) | |||||||
\(614\) | 23.2826 | − | 8.70634i | 0.939608 | − | 0.351359i | ||||
\(615\) | 0.0107896 | + | 0.0186881i | 0.000435077 | + | 0.000753575i | ||||
\(616\) | −14.7364 | + | 23.7406i | −0.593745 | + | 0.956537i | ||||
\(617\) | 8.94127 | + | 15.4867i | 0.359962 | + | 0.623472i | 0.987954 | − | 0.154747i | \(-0.0494564\pi\) |
−0.627992 | + | 0.778220i | \(0.716123\pi\) | |||||||
\(618\) | 0.229331 | − | 1.37085i | 0.00922504 | − | 0.0551438i | ||||
\(619\) | −2.26720 | − | 3.12054i | −0.0911266 | − | 0.125425i | 0.761019 | − | 0.648729i | \(-0.224699\pi\) |
−0.852146 | + | 0.523304i | \(0.824699\pi\) | |||||||
\(620\) | −1.89032 | − | 2.17412i | −0.0759170 | − | 0.0873147i | ||||
\(621\) | 3.88984 | + | 0.826811i | 0.156094 | + | 0.0331788i | ||||
\(622\) | −10.6845 | − | 7.07113i | −0.428409 | − | 0.283527i | ||||
\(623\) | −8.79733 | − | 6.39163i | −0.352458 | − | 0.256075i | ||||
\(624\) | 0.194916 | + | 1.61209i | 0.00780287 | + | 0.0645351i | ||||
\(625\) | 6.81400 | − | 20.9713i | 0.272560 | − | 0.838854i | ||||
\(626\) | 7.85736 | + | 9.87703i | 0.314043 | + | 0.394766i | ||||
\(627\) | −0.777893 | + | 2.83619i | −0.0310661 | + | 0.113267i | ||||
\(628\) | 4.03052 | − | 17.4661i | 0.160835 | − | 0.696975i | ||||
\(629\) | −57.9042 | − | 18.8142i | −2.30879 | − | 0.750172i | ||||
\(630\) | −4.00652 | + | 3.93759i | −0.159623 | + | 0.156877i | ||||
\(631\) | −0.341003 | − | 0.0358409i | −0.0135751 | − | 0.00142680i | 0.0977385 | − | 0.995212i | \(-0.468839\pi\) |
−0.111314 | + | 0.993785i | \(0.535506\pi\) | |||||||
\(632\) | 0.786330 | + | 0.828367i | 0.0312785 | + | 0.0329507i | ||||
\(633\) | 1.87903 | + | 1.69189i | 0.0746847 | + | 0.0672464i | ||||
\(634\) | 0.0658776 | + | 1.50710i | 0.00261633 | + | 0.0598545i | ||||
\(635\) | 0.779677 | + | 7.41813i | 0.0309405 | + | 0.294380i | ||||
\(636\) | 0.262830 | + | 0.474045i | 0.0104219 | + | 0.0187971i | ||||
\(637\) | 6.74130 | + | 0.367156i | 0.267100 | + | 0.0145473i | ||||
\(638\) | −16.9768 | + | 18.3110i | −0.672116 | + | 0.724939i | ||||
\(639\) | −8.94356 | − | 5.16357i | −0.353802 | − | 0.204268i | ||||
\(640\) | −1.60084 | + | 4.79005i | −0.0632789 | + | 0.189343i | ||||
\(641\) | 35.5821 | + | 15.8422i | 1.40541 | + | 0.625727i | 0.962609 | − | 0.270894i | \(-0.0873194\pi\) |
0.442798 | + | 0.896622i | \(0.353986\pi\) | |||||||
\(642\) | −0.662554 | − | 1.03989i | −0.0261489 | − | 0.0410410i | ||||
\(643\) | 9.05263 | + | 8.15103i | 0.357001 | + | 0.321445i | 0.828042 | − | 0.560666i | \(-0.189455\pi\) |
−0.471041 | + | 0.882111i | \(0.656122\pi\) | |||||||
\(644\) | −3.06645 | − | 35.0090i | −0.120835 | − | 1.37955i | ||||
\(645\) | 0.00684989 | − | 0.00942807i | 0.000269714 | − | 0.000371230i | ||||
\(646\) | 42.7724 | + | 43.5211i | 1.68286 | + | 1.71231i | ||||
\(647\) | 17.7776 | − | 16.0070i | 0.698908 | − | 0.629300i | −0.241080 | − | 0.970505i | \(-0.577502\pi\) |
0.939989 | + | 0.341205i | \(0.110835\pi\) | |||||||
\(648\) | −1.96816 | + | 25.0564i | −0.0773167 | + | 0.984309i | ||||
\(649\) | −0.813964 | + | 13.9575i | −0.0319509 | + | 0.547879i | ||||
\(650\) | 10.1958 | − | 22.2546i | 0.399912 | − | 0.872897i | ||||
\(651\) | 0.334424 | − | 1.02925i | 0.0131071 | − | 0.0403395i | ||||
\(652\) | −11.4607 | − | 8.63444i | −0.448836 | − | 0.338151i | ||||
\(653\) | 27.1368 | − | 12.0821i | 1.06194 | − | 0.472808i | 0.199992 | − | 0.979797i | \(-0.435908\pi\) |
0.861952 | + | 0.506989i | \(0.169242\pi\) | |||||||
\(654\) | −1.18820 | − | 2.38287i | −0.0464624 | − | 0.0931774i | ||||
\(655\) | 1.77323 | + | 5.45743i | 0.0692856 | + | 0.213239i | ||||
\(656\) | 0.0595878 | − | 1.71632i | 0.00232651 | − | 0.0670108i | ||||
\(657\) | 4.47977 | − | 10.0617i | 0.174772 | − | 0.392545i | ||||
\(658\) | 1.88336 | − | 2.28493i | 0.0734211 | − | 0.0890760i | ||||
\(659\) | −14.8643 | − | 25.7458i | −0.579033 | − | 1.00291i | −0.995591 | − | 0.0938048i | \(-0.970097\pi\) |
0.416558 | − | 0.909109i | \(-0.363236\pi\) | |||||||
\(660\) | 0.126680 | − | 0.308392i | 0.00493103 | − | 0.0120041i | ||||
\(661\) | 18.1164 | − | 31.3786i | 0.704647 | − | 1.22048i | −0.262172 | − | 0.965021i | \(-0.584439\pi\) |
0.966819 | − | 0.255463i | \(-0.0822280\pi\) | |||||||
\(662\) | 15.8423 | − | 19.2202i | 0.615727 | − | 0.747013i | ||||
\(663\) | −1.97965 | − | 1.01380i | −0.0768832 | − | 0.0393727i | ||||
\(664\) | −27.8318 | − | 5.15395i | −1.08008 | − | 0.200012i | ||||
\(665\) | 10.2432 | + | 2.17726i | 0.397214 | + | 0.0844304i | ||||
\(666\) | −25.9104 | + | 39.1507i | −1.00401 | + | 1.51706i | ||||
\(667\) | 3.28269 | − | 31.2327i | 0.127106 | − | 1.20933i | ||||
\(668\) | −15.6155 | − | 1.91574i | −0.604183 | − | 0.0741224i | ||||
\(669\) | 1.46998 | − | 0.312454i | 0.0568327 | − | 0.0120802i | ||||
\(670\) | 0.797744 | + | 5.33599i | 0.0308196 | + | 0.206147i | ||||
\(671\) | −28.9626 | + | 35.3381i | −1.11809 | + | 1.36421i | ||||
\(672\) | −1.85209 | + | 0.411089i | −0.0714460 | + | 0.0158581i | ||||
\(673\) | −3.82682 | + | 3.44569i | −0.147513 | + | 0.132821i | −0.739583 | − | 0.673065i | \(-0.764977\pi\) |
0.592070 | + | 0.805886i | \(0.298311\pi\) | |||||||
\(674\) | 0.265387 | − | 0.957141i | 0.0102223 | − | 0.0368677i | ||||
\(675\) | −1.90224 | + | 2.61821i | −0.0732174 | + | 0.100775i | ||||
\(676\) | 13.4800 | − | 22.2326i | 0.518462 | − | 0.855101i | ||||
\(677\) | −5.82385 | + | 1.89228i | −0.223829 | + | 0.0727263i | −0.418784 | − | 0.908086i | \(-0.637544\pi\) |
0.194956 | + | 0.980812i | \(0.437544\pi\) | |||||||
\(678\) | −0.346731 | + | 0.0151562i | −0.0133161 | + | 0.000582069i | ||||
\(679\) | 2.37790 | + | 22.6242i | 0.0912553 | + | 0.868236i | ||||
\(680\) | −4.21199 | − | 5.48746i | −0.161523 | − | 0.210434i | ||||
\(681\) | − | 1.94196i | − | 0.0744160i | ||||||
\(682\) | −1.36265 | − | 15.0740i | −0.0521784 | − | 0.577214i | ||||
\(683\) | −11.6756 | + | 6.74093i | −0.446756 | + | 0.257935i | −0.706459 | − | 0.707754i | \(-0.749709\pi\) |
0.259703 | + | 0.965688i | \(0.416375\pi\) | |||||||
\(684\) | 41.1518 | − | 22.8162i | 1.57348 | − | 0.872401i | ||||
\(685\) | 3.77173 | + | 1.67928i | 0.144110 | + | 0.0641621i | ||||
\(686\) | −0.943251 | − | 21.5790i | −0.0360135 | − | 0.823889i | ||||
\(687\) | −0.201310 | + | 0.947090i | −0.00768046 | + | 0.0361337i | ||||
\(688\) | −0.859846 | + | 0.347602i | −0.0327813 | + | 0.0132522i | ||||
\(689\) | 1.37523 | − | 8.56913i | 0.0523921 | − | 0.326458i | ||||
\(690\) | 0.105008 | + | 0.405950i | 0.00399757 | + | 0.0154543i | ||||
\(691\) | −31.5675 | + | 28.4235i | −1.20088 | + | 1.08128i | −0.206179 | + | 0.978514i | \(0.566103\pi\) |
−0.994705 | + | 0.102767i | \(0.967230\pi\) | |||||||
\(692\) | −12.3304 | − | 40.3162i | −0.468730 | − | 1.53259i | ||||
\(693\) | −29.1755 | + | 4.44491i | −1.10829 | + | 0.168848i | ||||
\(694\) | 12.0104 | − | 30.4947i | 0.455909 | − | 1.15756i | ||||
\(695\) | 5.67304 | − | 1.20584i | 0.215191 | − | 0.0457402i | ||||
\(696\) | −1.69477 | + | 0.0446361i | −0.0642400 | + | 0.00169193i | ||||
\(697\) | 1.90300 | + | 1.38261i | 0.0720813 | + | 0.0523701i | ||||
\(698\) | 39.2312 | − | 19.5624i | 1.48492 | − | 0.740448i | ||||
\(699\) | −2.35120 | − | 0.499763i | −0.0889305 | − | 0.0189028i | ||||
\(700\) | 27.0423 | + | 9.30837i | 1.02210 | + | 0.351823i | ||||
\(701\) | −21.1557 | − | 29.1183i | −0.799040 | − | 1.09978i | −0.992923 | − | 0.118760i | \(-0.962108\pi\) |
0.193883 | − | 0.981025i | \(-0.437892\pi\) | |||||||
\(702\) | −2.32732 | + | 2.52965i | −0.0878391 | + | 0.0954755i | ||||
\(703\) | 87.5190 | 3.30084 | ||||||||
\(704\) | −21.5525 | + | 15.4755i | −0.812289 | + | 0.583255i | ||||
\(705\) | −0.0176651 | + | 0.0305969i | −0.000665308 | + | 0.00115235i | ||||
\(706\) | −2.88642 | + | 17.2539i | −0.108632 | + | 0.649361i | ||||
\(707\) | −17.0273 | − | 23.4360i | −0.640377 | − | 0.881403i | ||||
\(708\) | −0.716353 | + | 0.622844i | −0.0269222 | + | 0.0234079i | ||||
\(709\) | −5.61479 | + | 6.23585i | −0.210868 | + | 0.234192i | −0.839295 | − | 0.543676i | \(-0.817032\pi\) |
0.628428 | + | 0.777868i | \(0.283699\pi\) | |||||||
\(710\) | 0.133124 | − | 2.17836i | 0.00499605 | − | 0.0817525i | ||||
\(711\) | −0.126094 | + | 1.19971i | −0.00472890 | + | 0.0449925i | ||||
\(712\) | −5.39645 | − | 8.80322i | −0.202241 | − | 0.329914i | ||||
\(713\) | 12.7374 | + | 14.1464i | 0.477021 | + | 0.529786i | ||||
\(714\) | 0.952243 | − | 2.41777i | 0.0356368 | − | 0.0904827i | ||||
\(715\) | −4.64407 | + | 2.63230i | −0.173678 | + | 0.0984425i | ||||
\(716\) | −33.2563 | + | 35.6703i | −1.24285 | + | 1.33306i | ||||
\(717\) | 2.07904 | − | 1.87197i | 0.0776431 | − | 0.0699102i | ||||
\(718\) | 8.73324 | + | 2.42147i | 0.325922 | + | 0.0903684i | ||||
\(719\) | −39.8428 | − | 4.18765i | −1.48589 | − | 0.156173i | −0.673455 | − | 0.739228i | \(-0.735190\pi\) |
−0.812433 | + | 0.583055i | \(0.801857\pi\) | |||||||
\(720\) | −4.94538 | + | 1.99923i | −0.184303 | + | 0.0745067i | ||||
\(721\) | −19.3222 | − | 17.3978i | −0.719597 | − | 0.647928i | ||||
\(722\) | −53.9723 | − | 28.0927i | −2.00864 | − | 1.04550i | ||||
\(723\) | −1.42950 | + | 1.03860i | −0.0531639 | + | 0.0386258i | ||||
\(724\) | 4.05451 | + | 2.43564i | 0.150685 | + | 0.0905198i | ||||
\(725\) | 22.1333 | + | 12.7786i | 0.822009 | + | 0.474587i | ||||
\(726\) | 1.48816 | − | 0.923696i | 0.0552307 | − | 0.0342816i | ||||
\(727\) | − | 13.3286i | − | 0.494331i | −0.968973 | − | 0.247165i | \(-0.920501\pi\) | ||
0.968973 | − | 0.247165i | \(-0.0794991\pi\) | |||||||
\(728\) | 27.3926 | + | 13.1295i | 1.01524 | + | 0.486611i | ||||
\(729\) | −21.2916 | + | 15.4692i | −0.788577 | + | 0.572935i | ||||
\(730\) | 2.32535 | − | 0.101645i | 0.0860649 | − | 0.00376203i | ||||
\(731\) | 0.264114 | − | 1.24256i | 0.00976862 | − | 0.0459578i | ||||
\(732\) | −3.09035 | + | 0.270685i | −0.114222 | + | 0.0100048i | ||||
\(733\) | −14.7501 | + | 20.3018i | −0.544808 | + | 0.749863i | −0.989296 | − | 0.145921i | \(-0.953385\pi\) |
0.444489 | + | 0.895785i | \(0.353385\pi\) | |||||||
\(734\) | −18.5886 | − | 18.9140i | −0.686118 | − | 0.698128i | ||||
\(735\) | −0.0195672 | − | 0.0920564i | −0.000721747 | − | 0.00339555i | ||||
\(736\) | 10.0266 | − | 31.8285i | 0.369587 | − | 1.17321i | ||||
\(737\) | −13.0167 | + | 25.1789i | −0.479477 | + | 0.927477i | ||||
\(738\) | 1.41946 | − | 1.12921i | 0.0522510 | − | 0.0415666i | ||||
\(739\) | −29.5553 | − | 32.8245i | −1.08721 | − | 1.20747i | −0.976928 | − | 0.213568i | \(-0.931492\pi\) |
−0.110281 | − | 0.993900i | \(-0.535175\pi\) | |||||||
\(740\) | −9.84768 | − | 1.20813i | −0.362008 | − | 0.0444119i | ||||
\(741\) | 3.15674 | + | 0.506615i | 0.115966 | + | 0.0186110i | ||||
\(742\) | 10.1208 | + | 0.618501i | 0.371546 | + | 0.0227059i | ||||
\(743\) | −12.8206 | − | 2.72510i | −0.470342 | − | 0.0999742i | −0.0333577 | − | 0.999443i | \(-0.510620\pi\) |
−0.436984 | + | 0.899469i | \(0.643953\pi\) | |||||||
\(744\) | 0.667275 | − | 0.781518i | 0.0244635 | − | 0.0286518i | ||||
\(745\) | −2.67767 | + | 6.01415i | −0.0981024 | + | 0.220342i | ||||
\(746\) | 2.97141 | − | 3.60499i | 0.108791 | − | 0.131988i | ||||
\(747\) | −14.9475 | − | 25.8899i | −0.546902 | − | 0.947262i | ||||
\(748\) | −1.05799 | − | 36.3266i | −0.0386838 | − | 1.32823i | ||||
\(749\) | −23.0659 | −0.842808 | ||||||||
\(750\) | −0.687091 | − | 0.114944i | −0.0250890 | − | 0.00419716i | ||||
\(751\) | 10.2664 | − | 1.07904i | 0.374627 | − | 0.0393749i | 0.0846557 | − | 0.996410i | \(-0.473021\pi\) |
0.289971 | + | 0.957035i | \(0.406354\pi\) | |||||||
\(752\) | 2.48234 | − | 1.32053i | 0.0905215 | − | 0.0481546i | ||||
\(753\) | −0.601181 | − | 1.85024i | −0.0219082 | − | 0.0674266i | ||||
\(754\) | 21.7886 | + | 16.1902i | 0.793494 | + | 0.589614i | ||||
\(755\) | −3.16802 | − | 2.30170i | −0.115296 | − | 0.0837675i | ||||
\(756\) | −3.20756 | − | 2.41656i | −0.116658 | − | 0.0878894i | ||||
\(757\) | −12.7576 | − | 14.1687i | −0.463682 | − | 0.514971i | 0.465271 | − | 0.885168i | \(-0.345957\pi\) |
−0.928953 | + | 0.370197i | \(0.879290\pi\) | |||||||
\(758\) | 3.71032 | + | 24.8177i | 0.134765 | + | 0.901421i | ||||
\(759\) | −0.801545 | + | 2.05188i | −0.0290942 | + | 0.0744785i | ||||
\(760\) | 8.19582 | + | 5.63100i | 0.297294 | + | 0.204258i | ||||
\(761\) | 4.88277 | + | 22.9716i | 0.177000 | + | 0.832721i | 0.973608 | + | 0.228225i | \(0.0732921\pi\) |
−0.796608 | + | 0.604496i | \(0.793375\pi\) | |||||||
\(762\) | −2.57580 | + | 0.666286i | −0.0933114 | + | 0.0241370i | ||||
\(763\) | −49.5374 | − | 5.20659i | −1.79337 | − | 0.188491i | ||||
\(764\) | 21.6606 | − | 15.1702i | 0.783653 | − | 0.548838i | ||||
\(765\) | 1.51905 | − | 7.14655i | 0.0549212 | − | 0.258384i | ||||
\(766\) | −11.3947 | − | 17.8841i | −0.411707 | − | 0.646179i | ||||
\(767\) | 15.1799 | − | 0.764343i | 0.548115 | − | 0.0275988i | ||||
\(768\) | −1.77423 | − | 0.312106i | −0.0640220 | − | 0.0112621i | ||||
\(769\) | −4.48278 | − | 2.58813i | −0.161653 | − | 0.0933304i | 0.416991 | − | 0.908911i | \(-0.363085\pi\) |
−0.578644 | + | 0.815580i | \(0.696418\pi\) | |||||||
\(770\) | −3.59200 | − | 5.09853i | −0.129447 | − | 0.183738i | ||||
\(771\) | 0.519912 | − | 0.300171i | 0.0187242 | − | 0.0108104i | ||||
\(772\) | 15.0967 | + | 27.2288i | 0.543344 | + | 0.979984i | ||||
\(773\) | 13.0418 | + | 5.80659i | 0.469081 | + | 0.208848i | 0.627644 | − | 0.778500i | \(-0.284019\pi\) |
−0.158563 | + | 0.987349i | \(0.550686\pi\) | |||||||
\(774\) | −0.868896 | − | 0.452263i | −0.0312318 | − | 0.0162563i | ||||
\(775\) | −14.7332 | + | 4.78711i | −0.529233 | + | 0.171958i | ||||
\(776\) | −6.13198 | + | 20.7127i | −0.220125 | + | 0.743544i | ||||
\(777\) | −1.51588 | − | 3.40472i | −0.0543818 | − | 0.122144i | ||||
\(778\) | 14.4824 | + | 4.01553i | 0.519218 | + | 0.143964i | ||||
\(779\) | −3.21578 | − | 1.04487i | −0.115217 | − | 0.0374364i | ||||
\(780\) | −0.348205 | − | 0.100581i | −0.0124677 | − | 0.00360138i | ||||
\(781\) | 7.26786 | − | 8.86773i | 0.260065 | − | 0.317312i | ||||
\(782\) | 28.4552 | + | 35.7694i | 1.01756 | + | 1.27911i | ||||
\(783\) | −2.40137 | − | 2.66699i | −0.0858180 | − | 0.0953106i | ||||
\(784\) | −2.56027 | + | 7.03870i | −0.0914381 | + | 0.251382i | ||||
\(785\) | 3.23681 | + | 2.35168i | 0.115527 | + | 0.0839351i | ||||
\(786\) | −1.83171 | + | 0.913374i | −0.0653351 | + | 0.0325790i | ||||
\(787\) | 2.40673 | − | 2.67294i | 0.0857906 | − | 0.0952802i | −0.698721 | − | 0.715394i | \(-0.746247\pi\) |
0.784512 | + | 0.620114i | \(0.212914\pi\) | |||||||
\(788\) | 0.290883 | − | 0.0565725i | 0.0103623 | − | 0.00201531i | ||||
\(789\) | −1.39517 | + | 3.13360i | −0.0496692 | + | 0.111559i | ||||
\(790\) | −0.238781 | + | 0.0892903i | −0.00849544 | + | 0.00317681i | ||||
\(791\) | −3.24621 | + | 5.62261i | −0.115422 | + | 0.199917i | ||||
\(792\) | −27.2113 | − | 6.69828i | −0.966911 | − | 0.238013i | ||||
\(793\) | 41.6018 | + | 27.1380i | 1.47732 | + | 0.963697i | ||||
\(794\) | −3.08794 | − | 2.54524i | −0.109587 | − | 0.0903271i | ||||
\(795\) | −0.120320 | + | 0.0126461i | −0.00426729 | + | 0.000448511i | ||||
\(796\) | −7.53180 | + | 21.8811i | −0.266958 | + | 0.775556i | ||||
\(797\) | −16.1268 | + | 17.9106i | −0.571240 | + | 0.634427i | −0.957662 | − | 0.287896i | \(-0.907044\pi\) |
0.386422 | + | 0.922322i | \(0.373711\pi\) | |||||||
\(798\) | −0.227847 | + | 3.72835i | −0.00806569 | + | 0.131982i | ||||
\(799\) | −0.402559 | + | 3.83010i | −0.0142415 | + | 0.135499i | ||||
\(800\) | 20.3439 | + | 17.9896i | 0.719267 | + | 0.636030i | ||||
\(801\) | 3.37004 | − | 10.3719i | 0.119075 | − | 0.366474i | ||||
\(802\) | 29.3189 | − | 4.38325i | 1.03528 | − | 0.154778i | ||||
\(803\) | 10.2159 | + | 6.72017i | 0.360510 | + | 0.237150i | ||||
\(804\) | −1.84032 | + | 0.562846i | −0.0649031 | + | 0.0198500i | ||||
\(805\) | 7.46006 | + | 2.42392i | 0.262933 | + | 0.0854320i | ||||
\(806\) | −16.1302 | + | 3.24815i | −0.568162 | + | 0.114411i | ||||
\(807\) | 0.663226 | − | 0.912853i | 0.0233467 | − | 0.0321339i | ||||
\(808\) | −6.42553 | − | 26.7464i | −0.226049 | − | 0.940935i | ||||
\(809\) | −0.285538 | + | 1.34335i | −0.0100390 | + | 0.0472296i | −0.982882 | − | 0.184236i | \(-0.941019\pi\) |
0.972843 | + | 0.231466i | \(0.0743522\pi\) | |||||||
\(810\) | −4.97613 | − | 2.59009i | −0.174843 | − | 0.0910065i | ||||
\(811\) | 26.0534 | − | 18.9289i | 0.914860 | − | 0.664685i | −0.0273791 | − | 0.999625i | \(-0.508716\pi\) |
0.942239 | + | 0.334940i | \(0.108716\pi\) | |||||||
\(812\) | −16.3315 | + | 27.1864i | −0.573124 | + | 0.954057i | ||||
\(813\) | −1.19459 | + | 0.689696i | −0.0418960 | + | 0.0241887i | ||||
\(814\) | −38.2230 | − | 35.4379i | −1.33972 | − | 1.24210i | ||||
\(815\) | 2.77369 | − | 1.60139i | 0.0971580 | − | 0.0560942i | ||||
\(816\) | 1.71369 | − | 1.77529i | 0.0599910 | − | 0.0621476i | ||||
\(817\) | 0.190874 | + | 1.81604i | 0.00667783 | + | 0.0635353i | ||||
\(818\) | 18.3347 | + | 28.7765i | 0.641058 | + | 1.00615i | ||||
\(819\) | 8.24016 | + | 31.0068i | 0.287935 | + | 1.08347i | ||||
\(820\) | 0.347418 | + | 0.161961i | 0.0121323 | + | 0.00565591i | ||||
\(821\) | 12.3758 | + | 27.7964i | 0.431917 | + | 0.970102i | 0.990097 | + | 0.140382i | \(0.0448330\pi\) |
−0.558180 | + | 0.829720i | \(0.688500\pi\) | |||||||
\(822\) | −0.393483 | + | 1.41913i | −0.0137243 | + | 0.0494979i | ||||
\(823\) | −1.36988 | − | 6.44476i | −0.0477509 | − | 0.224650i | 0.947801 | − | 0.318861i | \(-0.103300\pi\) |
−0.995552 | + | 0.0942111i | \(0.969967\pi\) | |||||||
\(824\) | −10.6323 | − | 22.2825i | −0.370395 | − | 0.776246i | ||||
\(825\) | −1.26015 | − | 1.27509i | −0.0438728 | − | 0.0443928i | ||||
\(826\) | 2.62563 | + | 17.5624i | 0.0913574 | + | 0.611076i | ||||
\(827\) | 7.36220 | − | 22.6585i | 0.256009 | − | 0.787914i | −0.737621 | − | 0.675215i | \(-0.764051\pi\) |
0.993629 | − | 0.112698i | \(-0.0359494\pi\) | |||||||
\(828\) | 32.4419 | − | 13.7746i | 1.12743 | − | 0.478702i | ||||
\(829\) | −14.3373 | + | 6.38338i | −0.497955 | + | 0.221704i | −0.640317 | − | 0.768111i | \(-0.721197\pi\) |
0.142362 | + | 0.989815i | \(0.454530\pi\) | |||||||
\(830\) | 3.48671 | − | 5.26842i | 0.121026 | − | 0.182870i | ||||
\(831\) | −0.487638 | − | 1.50080i | −0.0169160 | − | 0.0520620i | ||||
\(832\) | 19.2632 | + | 21.4693i | 0.667831 | + | 0.744313i | ||||
\(833\) | −6.02999 | − | 8.29957i | −0.208927 | − | 0.287563i | ||||
\(834\) | 0.724588 | + | 1.93770i | 0.0250904 | + | 0.0670971i | ||||
\(835\) | 1.75577 | − | 3.04108i | 0.0607609 | − | 0.105241i | ||||
\(836\) | 17.5828 | + | 49.1927i | 0.608113 | + | 1.70137i | ||||
\(837\) | 2.17533 | 0.0751904 | ||||||||
\(838\) | −32.8771 | − | 5.50004i | −1.13572 | − | 0.189996i | ||||
\(839\) | −5.59974 | + | 12.5772i | −0.193324 | + | 0.434214i | −0.984035 | − | 0.177977i | \(-0.943045\pi\) |
0.790710 | + | 0.612190i | \(0.209711\pi\) | |||||||
\(840\) | 0.0771045 | − | 0.416371i | 0.00266036 | − | 0.0143662i | ||||
\(841\) | 0.440924 | − | 0.489695i | 0.0152043 | − | 0.0168860i | ||||
\(842\) | −20.6579 | + | 31.2141i | −0.711918 | + | 1.07571i | ||||
\(843\) | 0.580439 | − | 0.258428i | 0.0199914 | − | 0.00890074i | ||||
\(844\) | 44.5798 | + | 5.46914i | 1.53450 | + | 0.188256i | ||||
\(845\) | 3.39178 | + | 4.70886i | 0.116681 | + | 0.161990i | ||||
\(846\) | 2.76310 | + | 1.08825i | 0.0949972 | + | 0.0374149i | ||||
\(847\) | 0.386070 | − | 32.7631i | 0.0132655 | − | 1.12575i | ||||
\(848\) | 8.65466 | + | 4.21899i | 0.297202 | + | 0.144881i | ||||
\(849\) | −0.0184789 | − | 0.0869362i | −0.000634193 | − | 0.00298364i | ||||
\(850\) | −36.0114 | + | 9.31513i | −1.23518 | + | 0.319506i | ||||
\(851\) | 65.1962 | + | 6.85240i | 2.23490 | + | 0.234897i | ||||
\(852\) | 0.775490 | − | 0.0679255i | 0.0265678 | − | 0.00232709i | ||||
\(853\) | 39.8484 | − | 12.9475i | 1.36438 | − | 0.443314i | 0.466878 | − | 0.884322i | \(-0.345379\pi\) |
0.897504 | + | 0.441007i | \(0.145379\pi\) | |||||||
\(854\) | −26.7935 | + | 51.4762i | −0.916855 | + | 1.76148i | ||||
\(855\) | 1.09781 | + | 10.4449i | 0.0375441 | + | 0.357209i | ||||
\(856\) | −20.2365 | − | 8.37863i | −0.691669 | − | 0.286376i | ||||
\(857\) | 4.41818i | 0.150922i | 0.997149 | + | 0.0754612i | \(0.0240429\pi\) | ||||
−0.997149 | + | 0.0754612i | \(0.975957\pi\) | |||||||
\(858\) | −1.17354 | − | 1.49948i | −0.0400639 | − | 0.0511912i | ||||
\(859\) | − | 1.53375i | − | 0.0523307i | −0.999658 | − | 0.0261654i | \(-0.991670\pi\) | ||
0.999658 | − | 0.0261654i | \(-0.00832965\pi\) | |||||||
\(860\) | 0.00359188 | − | 0.206977i | 0.000122482 | − | 0.00705785i | ||||
\(861\) | 0.0150509 | + | 0.143200i | 0.000512934 | + | 0.00488024i | ||||
\(862\) | −19.0849 | − | 9.93376i | −0.650036 | − | 0.338345i | ||||
\(863\) | 7.47932 | − | 2.43018i | 0.254599 | − | 0.0827242i | −0.178937 | − | 0.983861i | \(-0.557266\pi\) |
0.433536 | + | 0.901136i | \(0.357266\pi\) | |||||||
\(864\) | −1.93629 | − | 3.28527i | −0.0658739 | − | 0.111767i | ||||
\(865\) | 9.35855 | + | 0.983623i | 0.318200 | + | 0.0334442i | ||||
\(866\) | −7.58965 | − | 29.3409i | −0.257907 | − | 0.997044i | ||||
\(867\) | 0.304715 | + | 1.43357i | 0.0103487 | + | 0.0486867i | ||||
\(868\) | −5.62232 | − | 18.3831i | −0.190834 | − | 0.623964i | ||||
\(869\) | −1.29159 | − | 0.354249i | −0.0438142 | − | 0.0120171i | ||||
\(870\) | 0.138668 | − | 0.352082i | 0.00470130 | − | 0.0119367i | ||||
\(871\) | 28.7444 | + | 11.1016i | 0.973967 | + | 0.376164i | ||||
\(872\) | −41.5696 | − | 22.5623i | −1.40772 | − | 0.764055i | ||||
\(873\) | −20.8424 | + | 9.27965i | −0.705409 | + | 0.314069i | ||||
\(874\) | −54.7904 | − | 36.2610i | −1.85331 | − | 1.22655i | ||||
\(875\) | −8.72004 | + | 9.68458i | −0.294791 | + | 0.327399i | ||||
\(876\) | 0.158498 | + | 0.814960i | 0.00535514 | + | 0.0275349i | ||||
\(877\) | 11.7033 | − | 26.2860i | 0.395191 | − | 0.887614i | −0.600903 | − | 0.799322i | \(-0.705192\pi\) |
0.996095 | − | 0.0882926i | \(-0.0281411\pi\) | |||||||
\(878\) | 1.80246 | − | 10.7744i | 0.0608301 | − | 0.363619i | ||||
\(879\) | 1.61531 | 0.0544830 | ||||||||
\(880\) | −1.29935 | − | 5.77790i | −0.0438012 | − | 0.194773i | ||||
\(881\) | 5.65767 | − | 9.79936i | 0.190612 | − | 0.330149i | −0.754841 | − | 0.655907i | \(-0.772286\pi\) |
0.945453 | + | 0.325758i | \(0.105620\pi\) | |||||||
\(882\) | −7.40954 | + | 2.77074i | −0.249492 | + | 0.0932957i | ||||
\(883\) | 12.9871 | + | 17.8752i | 0.437051 | + | 0.601548i | 0.969553 | − | 0.244880i | \(-0.0787485\pi\) |
−0.532503 | + | 0.846428i | \(0.678748\pi\) | |||||||
\(884\) | −39.1341 | + | 5.42218i | −1.31622 | + | 0.182368i | ||||
\(885\) | −0.0654734 | − | 0.201506i | −0.00220086 | − | 0.00677356i | ||||
\(886\) | 0.0483736 | + | 0.0320143i | 0.00162514 | + | 0.00107554i | ||||
\(887\) | −47.9878 | + | 21.3656i | −1.61127 | + | 0.717385i | −0.997403 | − | 0.0720211i | \(-0.977055\pi\) |
−0.613871 | + | 0.789407i | \(0.710388\pi\) | |||||||
\(888\) | −0.0931749 | − | 3.53772i | −0.00312674 | − | 0.118718i | ||||
\(889\) | −15.3801 | + | 47.3349i | −0.515830 | + | 1.58756i | ||||
\(890\) | 2.27936 | − | 0.340770i | 0.0764043 | − | 0.0114226i | ||||
\(891\) | −13.2250 | − | 26.3379i | −0.443053 | − | 0.882353i | ||||
\(892\) | 18.2040 | − | 19.5253i | 0.609513 | − | 0.653755i | ||||
\(893\) | −1.15099 | − | 5.41500i | −0.0385165 | − | 0.181206i | ||||
\(894\) | −2.26286 | − | 0.627422i | −0.0756812 | − | 0.0209841i | ||||
\(895\) | −4.42739 | − | 9.94409i | −0.147991 | − | 0.332394i | ||||
\(896\) | −22.7585 | + | 24.8541i | −0.760307 | + | 0.830319i | ||||
\(897\) | 2.31191 | + | 0.624557i | 0.0771924 | + | 0.0208533i | ||||
\(898\) | 31.8254 | − | 20.2773i | 1.06203 | − | 0.676661i | ||||
\(899\) | −1.79567 | − | 17.0847i | −0.0598890 | − | 0.569806i | ||||
\(900\) | −0.497684 | + | 28.6783i | −0.0165895 | + | 0.955944i | ||||
\(901\) | −11.4209 | + | 6.59386i | −0.380485 | + | 0.219673i | ||||
\(902\) | 0.981374 | + | 1.75846i | 0.0326762 | + | 0.0585503i | ||||
\(903\) | 0.0673428 | − | 0.0388804i | 0.00224103 | − | 0.00129386i | ||||
\(904\) | −4.89042 | + | 3.75373i | −0.162653 | + | 0.124847i | ||||
\(905\) | −0.854085 | + | 0.620529i | −0.0283908 | + | 0.0206271i | ||||
\(906\) | 0.644896 | − | 1.23899i | 0.0214252 | − | 0.0411626i | ||||
\(907\) | −9.07576 | + | 42.6981i | −0.301356 | + | 1.41777i | 0.523308 | + | 0.852143i | \(0.324698\pi\) |
−0.824664 | + | 0.565623i | \(0.808636\pi\) | |||||||
\(908\) | −19.7886 | − | 28.2550i | −0.656709 | − | 0.937676i | ||||
\(909\) | 17.0768 | − | 23.5041i | 0.566400 | − | 0.779583i | ||||
\(910\) | −5.08697 | + | 4.48247i | −0.168631 | + | 0.148592i | ||||
\(911\) | 20.2280 | + | 6.57246i | 0.670182 | + | 0.217755i | 0.624292 | − | 0.781191i | \(-0.285388\pi\) |
0.0458901 | + | 0.998946i | \(0.485388\pi\) | |||||||
\(912\) | −1.55422 | + | 3.18825i | −0.0514652 | + | 0.105573i | ||||
\(913\) | 31.0555 | − | 11.7117i | 1.02779 | − | 0.387599i | ||||
\(914\) | 4.36313 | + | 29.1843i | 0.144320 | + | 0.965332i | ||||
\(915\) | 0.213967 | − | 0.658521i | 0.00707352 | − | 0.0217700i | ||||
\(916\) | 6.72187 | + | 15.8313i | 0.222097 | + | 0.523081i | ||||
\(917\) | −4.00232 | + | 38.0795i | −0.132168 | + | 1.25750i | ||||
\(918\) | 5.21349 | + | 0.318607i | 0.172071 | + | 0.0105156i | ||||
\(919\) | −26.6475 | + | 29.5951i | −0.879021 | + | 0.976252i | −0.999865 | − | 0.0164196i | \(-0.994773\pi\) |
0.120844 | + | 0.992672i | \(0.461440\pi\) | |||||||
\(920\) | 5.66449 | + | 4.83644i | 0.186753 | + | 0.159453i | ||||
\(921\) | −1.96815 | + | 0.206861i | −0.0648528 | + | 0.00681631i | ||||
\(922\) | 24.6316 | − | 29.8836i | 0.811198 | − | 0.984163i | ||||
\(923\) | −10.4395 | − | 6.80999i | −0.343622 | − | 0.224153i | ||||
\(924\) | 1.60918 | − | 1.53606i | 0.0529382 | − | 0.0505327i | ||||
\(925\) | −26.6746 | + | 46.2017i | −0.877055 | + | 1.51910i | ||||
\(926\) | −13.1341 | − | 35.1232i | −0.431612 | − | 1.15422i | ||||
\(927\) | 10.6061 | − | 23.8218i | 0.348351 | − | 0.782409i | ||||
\(928\) | −24.2036 | + | 17.9192i | −0.794523 | + | 0.588227i | ||||
\(929\) | 27.5961 | − | 30.6486i | 0.905398 | − | 1.00555i | −0.0945516 | − | 0.995520i | \(-0.530142\pi\) |
0.999950 | − | 0.0100266i | \(-0.00319161\pi\) | |||||||
\(930\) | 0.102354 | + | 0.205265i | 0.00335633 | + | 0.00673090i | ||||
\(931\) | 11.9304 | + | 8.66793i | 0.391002 | + | 0.284080i | ||||
\(932\) | −39.3020 | + | 16.6874i | −1.28738 | + | 0.546614i | ||||
\(933\) | 0.682553 | + | 0.758052i | 0.0223458 | + | 0.0248175i | ||||
\(934\) | 39.1458 | − | 31.1412i | 1.28089 | − | 1.01897i | ||||
\(935\) | 7.55557 | + | 2.95150i | 0.247094 | + | 0.0965244i | ||||
\(936\) | −4.03380 | + | 30.1966i | −0.131849 | + | 0.987007i | ||||
\(937\) | −37.6720 | − | 12.2404i | −1.23069 | − | 0.399876i | −0.379727 | − | 0.925099i | \(-0.623982\pi\) |
−0.850965 | + | 0.525223i | \(0.823982\pi\) | |||||||
\(938\) | −9.61900 | + | 34.6918i | −0.314071 | + | 1.13273i | ||||
\(939\) | −0.408701 | − | 0.917957i | −0.0133375 | − | 0.0299564i | ||||
\(940\) | 0.0547604 | + | 0.625187i | 0.00178609 | + | 0.0203913i | ||||
\(941\) | 3.41954 | − | 1.11108i | 0.111474 | − | 0.0362201i | −0.252749 | − | 0.967532i | \(-0.581335\pi\) |
0.364223 | + | 0.931312i | \(0.381335\pi\) | |||||||
\(942\) | −0.658900 | + | 1.26589i | −0.0214681 | + | 0.0412449i | ||||
\(943\) | −2.31375 | − | 1.03015i | −0.0753459 | − | 0.0335462i | ||||
\(944\) | −4.07597 | + | 16.3619i | −0.132661 | + | 0.532534i | ||||
\(945\) | 0.776284 | − | 0.448188i | 0.0252525 | − | 0.0145795i | ||||
\(946\) | 0.651983 | − | 0.870426i | 0.0211978 | − | 0.0283000i | ||||
\(947\) | 21.3498 | + | 12.3263i | 0.693777 | + | 0.400552i | 0.805025 | − | 0.593240i | \(-0.202152\pi\) |
−0.111249 | + | 0.993793i | \(0.535485\pi\) | |||||||
\(948\) | −0.0440927 | − | 0.0795263i | −0.00143206 | − | 0.00258290i | ||||
\(949\) | 6.05929 | − | 11.8320i | 0.196693 | − | 0.384083i | ||||
\(950\) | 45.0940 | − | 28.7312i | 1.46304 | − | 0.932164i | ||||
\(951\) | 0.0249705 | − | 0.117477i | 0.000809725 | − | 0.00380946i | ||||
\(952\) | −10.7823 | − | 44.8813i | −0.349455 | − | 1.45461i | ||||
\(953\) | 25.7963 | + | 2.71130i | 0.835624 | + | 0.0878276i | 0.512669 | − | 0.858587i | \(-0.328657\pi\) |
0.322955 | + | 0.946414i | \(0.395324\pi\) | |||||||
\(954\) | 2.54665 | + | 9.84510i | 0.0824507 | + | 0.318747i | ||||
\(955\) | 1.22719 | + | 5.77349i | 0.0397110 | + | 0.186826i | ||||
\(956\) | 11.1740 | − | 48.4223i | 0.361393 | − | 1.56609i | ||||
\(957\) | 1.67361 | − | 1.07289i | 0.0541002 | − | 0.0346816i | ||||
\(958\) | 56.0845 | − | 8.38478i | 1.81201 | − | 0.270900i | ||||
\(959\) | 18.4339 | + | 20.4729i | 0.595261 | + | 0.661104i | ||||
\(960\) | 0.218892 | − | 0.337289i | 0.00706472 | − | 0.0108859i | ||||
\(961\) | −16.6554 | − | 12.1008i | −0.537270 | − | 0.390349i | ||||
\(962\) | −33.7961 | + | 45.4823i | −1.08963 | + | 1.46641i | ||||
\(963\) | −7.14845 | − | 22.0007i | −0.230356 | − | 0.708962i | ||||
\(964\) | −10.2156 | + | 29.6780i | −0.329023 | + | 0.955866i | ||||
\(965\) | −6.91105 | + | 0.726381i | −0.222475 | + | 0.0233830i | ||||
\(966\) | −0.461647 | + | 2.75955i | −0.0148533 | + | 0.0887871i | ||||
\(967\) | 20.8195 | 0.669511 | 0.334755 | − | 0.942305i | \(-0.391346\pi\) | ||||
0.334755 | + | 0.942305i | \(0.391346\pi\) | |||||||
\(968\) | 12.2398 | − | 28.6040i | 0.393403 | − | 0.919366i | ||||
\(969\) | −2.42908 | − | 4.20729i | −0.0780334 | − | 0.135158i | ||||
\(970\) | −3.72051 | − | 3.06663i | −0.119458 | − | 0.0984637i | ||||
\(971\) | 25.3080 | − | 56.8427i | 0.812173 | − | 1.82417i | 0.354448 | − | 0.935076i | \(-0.384669\pi\) |
0.457725 | − | 0.889094i | \(-0.348664\pi\) | |||||||
\(972\) | 1.96773 | − | 5.71657i | 0.0631149 | − | 0.183359i | ||||
\(973\) | 37.8540 | + | 8.04611i | 1.21354 | + | 0.257946i | ||||
\(974\) | −0.596509 | + | 9.76093i | −0.0191134 | + | 0.312761i | ||||
\(975\) | −1.22958 | + | 1.51205i | −0.0393779 | + | 0.0484244i | ||||
\(976\) | −42.2055 | + | 35.4292i | −1.35097 | + | 1.13406i | ||||
\(977\) | −7.64719 | − | 8.49307i | −0.244655 | − | 0.271717i | 0.608293 | − | 0.793713i | \(-0.291855\pi\) |
−0.852948 | + | 0.521995i | \(0.825188\pi\) | |||||||
\(978\) | 0.711213 | + | 0.894024i | 0.0227421 | + | 0.0285877i | ||||
\(979\) | 10.7556 | + | 5.56032i | 0.343751 | + | 0.177708i | ||||
\(980\) | −1.22276 | − | 1.14001i | −0.0390596 | − | 0.0364162i | ||||
\(981\) | −10.3862 | − | 48.8633i | −0.331607 | − | 1.56009i | ||||
\(982\) | −7.51147 | + | 7.38225i | −0.239701 | + | 0.235577i | ||||
\(983\) | 8.11607 | − | 11.1708i | 0.258863 | − | 0.356294i | −0.659728 | − | 0.751505i | \(-0.729328\pi\) |
0.918590 | + | 0.395211i | \(0.129328\pi\) | |||||||
\(984\) | −0.0388124 | + | 0.131102i | −0.00123730 | + | 0.00417937i | ||||
\(985\) | −0.0137517 | + | 0.0646967i | −0.000438166 | + | 0.00206141i | ||||
\(986\) | −1.80131 | − | 41.2089i | −0.0573653 | − | 1.31236i | ||||
\(987\) | −0.190722 | + | 0.138567i | −0.00607074 | + | 0.00441065i | ||||
\(988\) | 51.0923 | − | 24.7962i | 1.62546 | − | 0.788873i | ||||
\(989\) | 1.36778i | 0.0434930i | ||||||||
\(990\) | 3.74986 | − | 5.00623i | 0.119179 | − | 0.159108i | ||||
\(991\) | 41.5242 | + | 23.9740i | 1.31906 | + | 0.761559i | 0.983577 | − | 0.180488i | \(-0.0577678\pi\) |
0.335481 | + | 0.942047i | \(0.391101\pi\) | |||||||
\(992\) | 1.74499 | − | 18.1705i | 0.0554033 | − | 0.576913i | ||||
\(993\) | −1.60429 | + | 1.16559i | −0.0509107 | + | 0.0369888i | ||||
\(994\) | 6.72355 | − | 12.9174i | 0.213258 | − | 0.409715i | ||||
\(995\) | −3.83844 | − | 3.45615i | −0.121687 | − | 0.109567i | ||||
\(996\) | 2.04245 | + | 0.952159i | 0.0647175 | + | 0.0301703i | ||||
\(997\) | −22.3718 | − | 2.35137i | −0.708522 | − | 0.0744687i | −0.256589 | − | 0.966521i | \(-0.582599\pi\) |
−0.451933 | + | 0.892052i | \(0.649265\pi\) | |||||||
\(998\) | −2.34174 | + | 8.44571i | −0.0741265 | + | 0.267344i | ||||
\(999\) | 5.56718 | − | 5.01271i | 0.176138 | − | 0.158595i |
(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 | 572.2.bm.a.35.10 | ✓ | 640 | |
4.3 | odd | 2 | inner | 572.2.bm.a.35.30 | yes | 640 | |
11.6 | odd | 10 | inner | 572.2.bm.a.347.24 | yes | 640 | |
13.3 | even | 3 | inner | 572.2.bm.a.211.45 | yes | 640 | |
44.39 | even | 10 | inner | 572.2.bm.a.347.45 | yes | 640 | |
52.3 | odd | 6 | inner | 572.2.bm.a.211.24 | yes | 640 | |
143.94 | odd | 30 | inner | 572.2.bm.a.523.30 | yes | 640 | |
572.523 | even | 30 | inner | 572.2.bm.a.523.10 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bm.a.35.10 | ✓ | 640 | 1.1 | even | 1 | trivial | |
572.2.bm.a.35.30 | yes | 640 | 4.3 | odd | 2 | inner | |
572.2.bm.a.211.24 | yes | 640 | 52.3 | odd | 6 | inner | |
572.2.bm.a.211.45 | yes | 640 | 13.3 | even | 3 | inner | |
572.2.bm.a.347.24 | yes | 640 | 11.6 | odd | 10 | inner | |
572.2.bm.a.347.45 | yes | 640 | 44.39 | even | 10 | inner | |
572.2.bm.a.523.10 | yes | 640 | 572.523 | even | 30 | inner | |
572.2.bm.a.523.30 | yes | 640 | 143.94 | odd | 30 | inner |