Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 137.2 | ||
Character | \(\chi\) | \(=\) | 150.137 |
Dual form | 150.2.l.a.23.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.987688 | + | 0.156434i | −0.698401 | + | 0.110616i | ||||
\(3\) | −1.36724 | + | 1.06332i | −0.789378 | + | 0.613907i | ||||
\(4\) | 0.951057 | − | 0.309017i | 0.475528 | − | 0.154508i | ||||
\(5\) | −1.48885 | − | 1.66833i | −0.665833 | − | 0.746100i | ||||
\(6\) | 1.18407 | − | 1.26411i | 0.483395 | − | 0.516071i | ||||
\(7\) | −1.08662 | − | 1.08662i | −0.410705 | − | 0.410705i | 0.471279 | − | 0.881984i | \(-0.343792\pi\) |
−0.881984 | + | 0.471279i | \(0.843792\pi\) | |||||||
\(8\) | −0.891007 | + | 0.453990i | −0.315018 | + | 0.160510i | ||||
\(9\) | 0.738706 | − | 2.90763i | 0.246235 | − | 0.969210i | ||||
\(10\) | 1.73150 | + | 1.41488i | 0.547549 | + | 0.447426i | ||||
\(11\) | 1.61222 | − | 2.21903i | 0.486102 | − | 0.669062i | −0.493561 | − | 0.869711i | \(-0.664305\pi\) |
0.979663 | + | 0.200649i | \(0.0643052\pi\) | |||||||
\(12\) | −0.971742 | + | 1.43378i | −0.280518 | + | 0.413896i | ||||
\(13\) | 0.355240 | − | 2.24289i | 0.0985257 | − | 0.622067i | −0.888173 | − | 0.459509i | \(-0.848025\pi\) |
0.986699 | − | 0.162558i | \(-0.0519745\pi\) | |||||||
\(14\) | 1.24323 | + | 0.903260i | 0.332267 | + | 0.241406i | ||||
\(15\) | 3.80959 | + | 0.697893i | 0.983631 | + | 0.180195i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | −2.77486 | − | 5.44598i | −0.673003 | − | 1.32084i | −0.934612 | − | 0.355669i | \(-0.884253\pi\) |
0.261608 | − | 0.965174i | \(-0.415747\pi\) | |||||||
\(18\) | −0.274758 | + | 2.98739i | −0.0647610 | + | 0.704135i | ||||
\(19\) | −4.05302 | − | 1.31690i | −0.929826 | − | 0.302119i | −0.195334 | − | 0.980737i | \(-0.562579\pi\) |
−0.734491 | + | 0.678618i | \(0.762579\pi\) | |||||||
\(20\) | −1.93152 | − | 1.12660i | −0.431901 | − | 0.251915i | ||||
\(21\) | 2.64110 | + | 0.330251i | 0.576336 | + | 0.0720666i | ||||
\(22\) | −1.24524 | + | 2.44391i | −0.265485 | + | 0.521044i | ||||
\(23\) | 0.805034 | + | 5.08279i | 0.167861 | + | 1.05983i | 0.917427 | + | 0.397904i | \(0.130262\pi\) |
−0.749566 | + | 0.661930i | \(0.769738\pi\) | |||||||
\(24\) | 0.735486 | − | 1.56814i | 0.150130 | − | 0.320095i | ||||
\(25\) | −0.566658 | + | 4.96779i | −0.113332 | + | 0.993557i | ||||
\(26\) | 2.27085i | 0.445351i | ||||||||
\(27\) | 2.08175 | + | 4.76092i | 0.400633 | + | 0.916239i | ||||
\(28\) | −1.36922 | − | 0.697655i | −0.258759 | − | 0.131844i | ||||
\(29\) | −2.37081 | − | 7.29662i | −0.440249 | − | 1.35495i | −0.887611 | − | 0.460595i | \(-0.847636\pi\) |
0.447361 | − | 0.894353i | \(-0.352364\pi\) | |||||||
\(30\) | −3.87186 | − | 0.0933498i | −0.706901 | − | 0.0170433i | ||||
\(31\) | −1.85692 | + | 5.71500i | −0.333512 | + | 1.02644i | 0.633938 | + | 0.773383i | \(0.281437\pi\) |
−0.967450 | + | 0.253061i | \(0.918563\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 0.155241 | + | 4.74825i | 0.0270239 | + | 0.826564i | ||||
\(34\) | 3.59264 | + | 4.94484i | 0.616133 | + | 0.848034i | ||||
\(35\) | −0.195030 | + | 3.43066i | −0.0329660 | + | 0.579888i | ||||
\(36\) | −0.195956 | − | 2.99359i | −0.0326594 | − | 0.498932i | ||||
\(37\) | −3.29028 | − | 0.521129i | −0.540919 | − | 0.0856731i | −0.120004 | − | 0.992773i | \(-0.538291\pi\) |
−0.420915 | + | 0.907100i | \(0.638291\pi\) | |||||||
\(38\) | 4.20913 | + | 0.666660i | 0.682810 | + | 0.108147i | ||||
\(39\) | 1.89921 | + | 3.44431i | 0.304118 | + | 0.551532i | ||||
\(40\) | 2.08398 | + | 0.810571i | 0.329506 | + | 0.128162i | ||||
\(41\) | 5.36418 | + | 7.38316i | 0.837744 | + | 1.15306i | 0.986432 | + | 0.164172i | \(0.0524952\pi\) |
−0.148687 | + | 0.988884i | \(0.547505\pi\) | |||||||
\(42\) | −2.66025 | + | 0.0869750i | −0.410486 | + | 0.0134205i | ||||
\(43\) | 6.65663 | − | 6.65663i | 1.01513 | − | 1.01513i | 0.0152431 | − | 0.999884i | \(-0.495148\pi\) |
0.999884 | − | 0.0152431i | \(-0.00485222\pi\) | |||||||
\(44\) | 0.847593 | − | 2.60862i | 0.127779 | − | 0.393265i | ||||
\(45\) | −5.95071 | + | 3.09662i | −0.887080 | + | 0.461616i | ||||
\(46\) | −1.59025 | − | 4.89427i | −0.234469 | − | 0.721621i | ||||
\(47\) | −2.15191 | − | 1.09645i | −0.313888 | − | 0.159934i | 0.289948 | − | 0.957042i | \(-0.406362\pi\) |
−0.603836 | + | 0.797108i | \(0.706362\pi\) | |||||||
\(48\) | −0.481119 | + | 1.66389i | −0.0694436 | + | 0.240162i | ||||
\(49\) | − | 4.63850i | − | 0.662643i | ||||||
\(50\) | −0.217452 | − | 4.99527i | −0.0307523 | − | 0.706438i | ||||
\(51\) | 9.58472 | + | 4.49541i | 1.34213 | + | 0.629483i | ||||
\(52\) | −0.355240 | − | 2.24289i | −0.0492629 | − | 0.311033i | ||||
\(53\) | −0.199432 | + | 0.391408i | −0.0273941 | + | 0.0537640i | −0.904298 | − | 0.426902i | \(-0.859605\pi\) |
0.876904 | + | 0.480666i | \(0.159605\pi\) | |||||||
\(54\) | −2.80089 | − | 4.37664i | −0.381153 | − | 0.595586i | ||||
\(55\) | −6.10242 | + | 0.614083i | −0.822850 | + | 0.0828029i | ||||
\(56\) | 1.46150 | + | 0.474872i | 0.195302 | + | 0.0634574i | ||||
\(57\) | 6.94175 | − | 2.50912i | 0.919457 | − | 0.332341i | ||||
\(58\) | 3.48307 | + | 6.83591i | 0.457349 | + | 0.897599i | ||||
\(59\) | −5.86967 | + | 4.26457i | −0.764166 | + | 0.555199i | −0.900185 | − | 0.435507i | \(-0.856569\pi\) |
0.136019 | + | 0.990706i | \(0.456569\pi\) | |||||||
\(60\) | 3.83879 | − | 0.513492i | 0.495586 | − | 0.0662915i | ||||
\(61\) | −8.14808 | − | 5.91993i | −1.04326 | − | 0.757969i | −0.0723370 | − | 0.997380i | \(-0.523046\pi\) |
−0.970918 | + | 0.239411i | \(0.923046\pi\) | |||||||
\(62\) | 0.940031 | − | 5.93512i | 0.119384 | − | 0.753761i | ||||
\(63\) | −3.96219 | + | 2.35680i | −0.499189 | + | 0.296929i | ||||
\(64\) | 0.587785 | − | 0.809017i | 0.0734732 | − | 0.101127i | ||||
\(65\) | −4.27079 | + | 2.74667i | −0.529726 | + | 0.340683i | ||||
\(66\) | −0.896119 | − | 4.66550i | −0.110305 | − | 0.574284i | ||||
\(67\) | 5.28646 | − | 2.69358i | 0.645843 | − | 0.329074i | −0.100204 | − | 0.994967i | \(-0.531949\pi\) |
0.746047 | + | 0.665893i | \(0.231949\pi\) | |||||||
\(68\) | −4.32195 | − | 4.32195i | −0.524114 | − | 0.524114i | ||||
\(69\) | −6.50530 | − | 6.09340i | −0.783146 | − | 0.733559i | ||||
\(70\) | −0.344046 | − | 3.41894i | −0.0411213 | − | 0.408641i | ||||
\(71\) | 5.89152 | − | 1.91427i | 0.699195 | − | 0.227182i | 0.0622154 | − | 0.998063i | \(-0.480183\pi\) |
0.636980 | + | 0.770880i | \(0.280183\pi\) | |||||||
\(72\) | 0.661845 | + | 2.92608i | 0.0779992 | + | 0.344842i | ||||
\(73\) | 10.2696 | − | 1.62655i | 1.20197 | − | 0.190373i | 0.476841 | − | 0.878989i | \(-0.341782\pi\) |
0.725126 | + | 0.688616i | \(0.241782\pi\) | |||||||
\(74\) | 3.33129 | 0.387255 | ||||||||
\(75\) | −4.50758 | − | 7.39471i | −0.520491 | − | 0.853867i | ||||
\(76\) | −4.26159 | −0.488838 | ||||||||
\(77\) | −4.16312 | + | 0.659373i | −0.474431 | + | 0.0751425i | ||||
\(78\) | −2.41464 | − | 3.10481i | −0.273404 | − | 0.351550i | ||||
\(79\) | 6.06800 | − | 1.97161i | 0.682703 | − | 0.221824i | 0.0529246 | − | 0.998599i | \(-0.483146\pi\) |
0.629778 | + | 0.776775i | \(0.283146\pi\) | |||||||
\(80\) | −2.18512 | − | 0.474585i | −0.244304 | − | 0.0530602i | ||||
\(81\) | −7.90863 | − | 4.29577i | −0.878736 | − | 0.477307i | ||||
\(82\) | −6.45312 | − | 6.45312i | −0.712628 | − | 0.712628i | ||||
\(83\) | 6.92579 | − | 3.52887i | 0.760204 | − | 0.387343i | −0.0305056 | − | 0.999535i | \(-0.509712\pi\) |
0.790710 | + | 0.612191i | \(0.209712\pi\) | |||||||
\(84\) | 2.61389 | − | 0.502059i | 0.285199 | − | 0.0547791i | ||||
\(85\) | −4.95434 | + | 12.7376i | −0.537374 | + | 1.38159i | ||||
\(86\) | −5.53335 | + | 7.61600i | −0.596677 | + | 0.821255i | ||||
\(87\) | 11.0001 | + | 7.45532i | 1.17934 | + | 0.799294i | ||||
\(88\) | −0.429079 | + | 2.70910i | −0.0457400 | + | 0.288791i | ||||
\(89\) | 8.12567 | + | 5.90364i | 0.861319 | + | 0.625785i | 0.928243 | − | 0.371973i | \(-0.121319\pi\) |
−0.0669245 | + | 0.997758i | \(0.521319\pi\) | |||||||
\(90\) | 5.39303 | − | 3.98939i | 0.568475 | − | 0.420518i | ||||
\(91\) | −2.82319 | + | 2.05117i | −0.295951 | + | 0.215021i | ||||
\(92\) | 2.33630 | + | 4.58525i | 0.243576 | + | 0.478045i | ||||
\(93\) | −3.53801 | − | 9.78829i | −0.366875 | − | 1.01500i | ||||
\(94\) | 2.29694 | + | 0.746320i | 0.236911 | + | 0.0769770i | ||||
\(95\) | 3.83730 | + | 8.72245i | 0.393698 | + | 0.894904i | ||||
\(96\) | 0.214907 | − | 1.71867i | 0.0219338 | − | 0.175411i | ||||
\(97\) | 5.51066 | − | 10.8153i | 0.559523 | − | 1.09813i | −0.421967 | − | 0.906611i | \(-0.638660\pi\) |
0.981490 | − | 0.191514i | \(-0.0613398\pi\) | |||||||
\(98\) | 0.725621 | + | 4.58139i | 0.0732988 | + | 0.462791i | ||||
\(99\) | −5.26115 | − | 6.32694i | −0.528766 | − | 0.635881i | ||||
\(100\) | 0.996207 | + | 4.89975i | 0.0996207 | + | 0.489975i | ||||
\(101\) | − | 3.53757i | − | 0.352002i | −0.984390 | − | 0.176001i | \(-0.943684\pi\) | ||
0.984390 | − | 0.176001i | \(-0.0563161\pi\) | |||||||
\(102\) | −10.1700 | − | 2.94068i | −1.00698 | − | 0.291171i | ||||
\(103\) | −14.6853 | − | 7.48254i | −1.44699 | − | 0.737277i | −0.458516 | − | 0.888686i | \(-0.651619\pi\) |
−0.988471 | + | 0.151409i | \(0.951619\pi\) | |||||||
\(104\) | 0.701732 | + | 2.15971i | 0.0688105 | + | 0.211777i | ||||
\(105\) | −3.38124 | − | 4.89793i | −0.329975 | − | 0.477989i | ||||
\(106\) | 0.135747 | − | 0.417787i | 0.0131849 | − | 0.0405791i | ||||
\(107\) | −1.32720 | + | 1.32720i | −0.128305 | + | 0.128305i | −0.768343 | − | 0.640038i | \(-0.778919\pi\) |
0.640038 | + | 0.768343i | \(0.278919\pi\) | |||||||
\(108\) | 3.45106 | + | 3.88461i | 0.332079 | + | 0.373796i | ||||
\(109\) | 10.6696 | + | 14.6855i | 1.02196 | + | 1.40661i | 0.910818 | + | 0.412809i | \(0.135452\pi\) |
0.111147 | + | 0.993804i | \(0.464548\pi\) | |||||||
\(110\) | 5.93122 | − | 1.56115i | 0.565520 | − | 0.148850i | ||||
\(111\) | 5.05274 | − | 2.78611i | 0.479585 | − | 0.264446i | ||||
\(112\) | −1.51780 | − | 0.240395i | −0.143418 | − | 0.0227152i | ||||
\(113\) | 6.54968 | + | 1.03737i | 0.616142 | + | 0.0975873i | 0.456701 | − | 0.889620i | \(-0.349031\pi\) |
0.159441 | + | 0.987207i | \(0.449031\pi\) | |||||||
\(114\) | −6.46377 | + | 3.56416i | −0.605388 | + | 0.333814i | ||||
\(115\) | 7.28120 | − | 8.91056i | 0.678975 | − | 0.830914i | ||||
\(116\) | −4.50956 | − | 6.20687i | −0.418702 | − | 0.576294i | ||||
\(117\) | −6.25909 | − | 2.68974i | −0.578653 | − | 0.248667i | ||||
\(118\) | 5.13028 | − | 5.13028i | 0.472281 | − | 0.472281i | ||||
\(119\) | −2.90249 | + | 8.93296i | −0.266071 | + | 0.818883i | ||||
\(120\) | −3.71120 | + | 1.10769i | −0.338785 | + | 0.101118i | ||||
\(121\) | 1.07435 | + | 3.30652i | 0.0976685 | + | 0.300593i | ||||
\(122\) | 8.97385 | + | 4.57240i | 0.812454 | + | 0.413966i | ||||
\(123\) | −15.1848 | − | 4.39074i | −1.36917 | − | 0.395900i | ||||
\(124\) | 6.00911i | 0.539634i | ||||||||
\(125\) | 9.13158 | − | 6.45091i | 0.816753 | − | 0.576987i | ||||
\(126\) | 3.54473 | − | 2.94761i | 0.315789 | − | 0.262594i | ||||
\(127\) | 1.37095 | + | 8.65582i | 0.121652 | + | 0.768080i | 0.970794 | + | 0.239915i | \(0.0771197\pi\) |
−0.849142 | + | 0.528165i | \(0.822880\pi\) | |||||||
\(128\) | −0.453990 | + | 0.891007i | −0.0401275 | + | 0.0787546i | ||||
\(129\) | −2.02311 | + | 16.1794i | −0.178125 | + | 1.42451i | ||||
\(130\) | 3.78853 | − | 3.38096i | 0.332276 | − | 0.296529i | ||||
\(131\) | −11.0161 | − | 3.57935i | −0.962481 | − | 0.312729i | −0.214704 | − | 0.976679i | \(-0.568879\pi\) |
−0.747777 | + | 0.663950i | \(0.768879\pi\) | |||||||
\(132\) | 1.61493 | + | 4.46788i | 0.140562 | + | 0.388879i | ||||
\(133\) | 2.97312 | + | 5.83508i | 0.257802 | + | 0.505966i | ||||
\(134\) | −4.80000 | + | 3.48741i | −0.414657 | + | 0.301266i | ||||
\(135\) | 4.84338 | − | 10.5613i | 0.416852 | − | 0.908975i | ||||
\(136\) | 4.94484 | + | 3.59264i | 0.424017 | + | 0.308066i | ||||
\(137\) | −1.14803 | + | 7.24839i | −0.0980830 | + | 0.619272i | 0.888857 | + | 0.458184i | \(0.151500\pi\) |
−0.986940 | + | 0.161087i | \(0.948500\pi\) | |||||||
\(138\) | 7.37843 | + | 5.00072i | 0.628093 | + | 0.425690i | ||||
\(139\) | −5.12432 | + | 7.05302i | −0.434639 | + | 0.598230i | −0.969010 | − | 0.247020i | \(-0.920549\pi\) |
0.534371 | + | 0.845250i | \(0.320549\pi\) | |||||||
\(140\) | 0.874649 | + | 3.32302i | 0.0739214 | + | 0.280847i | ||||
\(141\) | 4.10806 | − | 0.789048i | 0.345961 | − | 0.0664499i | ||||
\(142\) | −5.51953 | + | 2.81234i | −0.463189 | + | 0.236007i | ||||
\(143\) | −4.40432 | − | 4.40432i | −0.368308 | − | 0.368308i | ||||
\(144\) | −1.11144 | − | 2.78652i | −0.0926197 | − | 0.232210i | ||||
\(145\) | −8.64339 | + | 14.8189i | −0.717794 | + | 1.23064i | ||||
\(146\) | −9.88873 | + | 3.21304i | −0.818397 | + | 0.265913i | ||||
\(147\) | 4.93221 | + | 6.34196i | 0.406801 | + | 0.523076i | ||||
\(148\) | −3.29028 | + | 0.521129i | −0.270459 | + | 0.0428366i | ||||
\(149\) | −0.907025 | −0.0743064 | −0.0371532 | − | 0.999310i | \(-0.511829\pi\) | ||||
−0.0371532 | + | 0.999310i | \(0.511829\pi\) | |||||||
\(150\) | 5.60887 | + | 6.59853i | 0.457963 | + | 0.538767i | ||||
\(151\) | −7.07775 | −0.575979 | −0.287989 | − | 0.957634i | \(-0.592987\pi\) | ||||
−0.287989 | + | 0.957634i | \(0.592987\pi\) | |||||||
\(152\) | 4.20913 | − | 0.666660i | 0.341405 | − | 0.0540733i | ||||
\(153\) | −17.8847 | + | 4.04530i | −1.44589 | + | 0.327043i | ||||
\(154\) | 4.00871 | − | 1.30251i | 0.323031 | − | 0.104959i | ||||
\(155\) | 12.2992 | − | 5.41082i | 0.987894 | − | 0.434608i | ||||
\(156\) | 2.87061 | + | 2.68885i | 0.229833 | + | 0.215280i | ||||
\(157\) | −3.09020 | − | 3.09020i | −0.246625 | − | 0.246625i | 0.572959 | − | 0.819584i | \(-0.305795\pi\) |
−0.819584 | + | 0.572959i | \(0.805795\pi\) | |||||||
\(158\) | −5.68486 | + | 2.89658i | −0.452263 | + | 0.230440i | ||||
\(159\) | −0.143519 | − | 0.747210i | −0.0113818 | − | 0.0592576i | ||||
\(160\) | 2.23246 | + | 0.126913i | 0.176492 | + | 0.0100334i | ||||
\(161\) | 4.64830 | − | 6.39784i | 0.366338 | − | 0.504221i | ||||
\(162\) | 8.48327 | + | 3.00570i | 0.666508 | + | 0.236150i | ||||
\(163\) | −1.19195 | + | 7.52570i | −0.0933610 | + | 0.589458i | 0.896009 | + | 0.444036i | \(0.146454\pi\) |
−0.989370 | + | 0.145422i | \(0.953546\pi\) | |||||||
\(164\) | 7.38316 | + | 5.36418i | 0.576528 | + | 0.418872i | ||||
\(165\) | 7.69052 | − | 7.32842i | 0.598706 | − | 0.570516i | ||||
\(166\) | −6.28849 | + | 4.56885i | −0.488081 | + | 0.354612i | ||||
\(167\) | 7.13033 | + | 13.9941i | 0.551761 | + | 1.08289i | 0.983502 | + | 0.180895i | \(0.0578995\pi\) |
−0.431741 | + | 0.901998i | \(0.642101\pi\) | |||||||
\(168\) | −2.50317 | + | 0.904781i | −0.193124 | + | 0.0698053i | ||||
\(169\) | 7.45935 | + | 2.42369i | 0.573797 | + | 0.186438i | ||||
\(170\) | 2.90074 | − | 13.3558i | 0.222477 | − | 1.02435i | ||||
\(171\) | −6.82306 | + | 10.8119i | −0.521772 | + | 0.826804i | ||||
\(172\) | 4.27382 | − | 8.38785i | 0.325876 | − | 0.639567i | ||||
\(173\) | −2.95227 | − | 18.6399i | −0.224457 | − | 1.41717i | −0.800297 | − | 0.599603i | \(-0.795325\pi\) |
0.575840 | − | 0.817562i | \(-0.304675\pi\) | |||||||
\(174\) | −12.0309 | − | 5.64273i | −0.912064 | − | 0.427774i | ||||
\(175\) | 6.01385 | − | 4.78237i | 0.454605 | − | 0.361513i | ||||
\(176\) | − | 2.74287i | − | 0.206751i | ||||||
\(177\) | 3.49067 | − | 12.0720i | 0.262375 | − | 0.907389i | ||||
\(178\) | −8.94916 | − | 4.55982i | −0.670768 | − | 0.341773i | ||||
\(179\) | −8.00048 | − | 24.6229i | −0.597984 | − | 1.84040i | −0.539275 | − | 0.842130i | \(-0.681302\pi\) |
−0.0587089 | − | 0.998275i | \(-0.518698\pi\) | |||||||
\(180\) | −4.70256 | + | 4.78393i | −0.350508 | + | 0.356573i | ||||
\(181\) | −2.63278 | + | 8.10287i | −0.195693 | + | 0.602282i | 0.804275 | + | 0.594258i | \(0.202554\pi\) |
−0.999968 | + | 0.00802385i | \(0.997446\pi\) | |||||||
\(182\) | 2.46756 | − | 2.46756i | 0.182908 | − | 0.182908i | ||||
\(183\) | 17.4352 | − | 0.570031i | 1.28885 | − | 0.0421379i | ||||
\(184\) | −3.02483 | − | 4.16332i | −0.222993 | − | 0.306924i | ||||
\(185\) | 4.02931 | + | 6.26516i | 0.296241 | + | 0.460624i | ||||
\(186\) | 5.02568 | + | 9.11431i | 0.368501 | + | 0.668293i | ||||
\(187\) | −16.5585 | − | 2.62260i | −1.21087 | − | 0.191784i | ||||
\(188\) | −2.38541 | − | 0.377811i | −0.173974 | − | 0.0275547i | ||||
\(189\) | 2.91125 | − | 7.43540i | 0.211762 | − | 0.540845i | ||||
\(190\) | −5.15454 | − | 8.01477i | −0.373950 | − | 0.581453i | ||||
\(191\) | −5.15251 | − | 7.09182i | −0.372822 | − | 0.513146i | 0.580843 | − | 0.814016i | \(-0.302723\pi\) |
−0.953665 | + | 0.300870i | \(0.902723\pi\) | |||||||
\(192\) | 0.0565979 | + | 1.73113i | 0.00408460 | + | 0.124933i | ||||
\(193\) | 16.8199 | − | 16.8199i | 1.21072 | − | 1.21072i | 0.239930 | − | 0.970790i | \(-0.422875\pi\) |
0.970790 | − | 0.239930i | \(-0.0771245\pi\) | |||||||
\(194\) | −3.75093 | + | 11.5442i | −0.269301 | + | 0.828824i | ||||
\(195\) | 2.91862 | − | 8.29658i | 0.209006 | − | 0.594130i | ||||
\(196\) | −1.43338 | − | 4.41148i | −0.102384 | − | 0.315105i | ||||
\(197\) | −6.24937 | − | 3.18421i | −0.445249 | − | 0.226866i | 0.216966 | − | 0.976179i | \(-0.430384\pi\) |
−0.662216 | + | 0.749313i | \(0.730384\pi\) | |||||||
\(198\) | 6.18613 | + | 5.42602i | 0.439629 | + | 0.385610i | ||||
\(199\) | − | 18.4867i | − | 1.31048i | −0.755419 | − | 0.655242i | \(-0.772567\pi\) | ||
0.755419 | − | 0.655242i | \(-0.227433\pi\) | |||||||
\(200\) | −1.75043 | − | 4.68359i | −0.123774 | − | 0.331180i | ||||
\(201\) | −4.36373 | + | 9.30397i | −0.307794 | + | 0.656252i | ||||
\(202\) | 0.553398 | + | 3.49402i | 0.0389370 | + | 0.245838i | ||||
\(203\) | −5.35249 | + | 10.5049i | −0.375671 | + | 0.737296i | ||||
\(204\) | 10.5048 | + | 1.31354i | 0.735481 | + | 0.0919665i | ||||
\(205\) | 4.33110 | − | 19.9416i | 0.302497 | − | 1.39278i | ||||
\(206\) | 15.6750 | + | 5.09313i | 1.09213 | + | 0.354855i | ||||
\(207\) | 15.3735 | + | 1.41394i | 1.06854 | + | 0.0982757i | ||||
\(208\) | −1.03095 | − | 2.02334i | −0.0714832 | − | 0.140294i | ||||
\(209\) | −9.45659 | + | 6.87061i | −0.654126 | + | 0.475250i | ||||
\(210\) | 4.10581 | + | 4.30869i | 0.283328 | + | 0.297328i | ||||
\(211\) | 12.6782 | + | 9.21124i | 0.872802 | + | 0.634128i | 0.931337 | − | 0.364158i | \(-0.118643\pi\) |
−0.0585355 | + | 0.998285i | \(0.518643\pi\) | |||||||
\(212\) | −0.0687197 | + | 0.433879i | −0.00471969 | + | 0.0297989i | ||||
\(213\) | −6.01966 | + | 8.88184i | −0.412460 | + | 0.608574i | ||||
\(214\) | 1.10324 | − | 1.51848i | 0.0754158 | − | 0.103801i | ||||
\(215\) | −21.0162 | − | 1.19475i | −1.43329 | − | 0.0814811i | ||||
\(216\) | −4.01626 | − | 3.29691i | −0.273272 | − | 0.224327i | ||||
\(217\) | 8.22782 | − | 4.19228i | 0.558541 | − | 0.284591i | ||||
\(218\) | −12.8356 | − | 12.8356i | −0.869335 | − | 0.869335i | ||||
\(219\) | −12.3115 | + | 13.1438i | −0.831935 | + | 0.888173i | ||||
\(220\) | −5.61398 | + | 2.46978i | −0.378495 | + | 0.166512i | ||||
\(221\) | −13.2005 | + | 4.28910i | −0.887961 | + | 0.288516i | ||||
\(222\) | −4.55469 | + | 3.54223i | −0.305691 | + | 0.237739i | ||||
\(223\) | −24.2212 | + | 3.83626i | −1.62197 | + | 0.256895i | −0.900278 | − | 0.435316i | \(-0.856637\pi\) |
−0.721695 | + | 0.692211i | \(0.756637\pi\) | |||||||
\(224\) | 1.53672 | 0.102676 | ||||||||
\(225\) | 14.0259 | + | 5.31736i | 0.935059 | + | 0.354491i | ||||
\(226\) | −6.63132 | −0.441109 | ||||||||
\(227\) | 21.5518 | − | 3.41347i | 1.43044 | − | 0.226560i | 0.607335 | − | 0.794446i | \(-0.292239\pi\) |
0.823107 | + | 0.567886i | \(0.192239\pi\) | |||||||
\(228\) | 5.82663 | − | 4.53143i | 0.385878 | − | 0.300102i | ||||
\(229\) | 14.1502 | − | 4.59767i | 0.935070 | − | 0.303823i | 0.198436 | − | 0.980114i | \(-0.436414\pi\) |
0.736634 | + | 0.676291i | \(0.236414\pi\) | |||||||
\(230\) | −5.79763 | + | 9.93989i | −0.382285 | + | 0.655417i | ||||
\(231\) | 4.99087 | − | 5.32824i | 0.328375 | − | 0.350573i | ||||
\(232\) | 5.42501 | + | 5.42501i | 0.356169 | + | 0.356169i | ||||
\(233\) | 8.91074 | − | 4.54025i | 0.583762 | − | 0.297442i | −0.137059 | − | 0.990563i | \(-0.543765\pi\) |
0.720821 | + | 0.693121i | \(0.243765\pi\) | |||||||
\(234\) | 6.60280 | + | 1.67749i | 0.431638 | + | 0.109661i | ||||
\(235\) | 1.37462 | + | 5.22255i | 0.0896704 | + | 0.340681i | ||||
\(236\) | −4.26457 | + | 5.86967i | −0.277600 | + | 0.382083i | ||||
\(237\) | −6.19997 | + | 9.14789i | −0.402731 | + | 0.594219i | ||||
\(238\) | 1.46934 | − | 9.27703i | 0.0952429 | − | 0.601340i | ||||
\(239\) | −5.42628 | − | 3.94243i | −0.350997 | − | 0.255014i | 0.398290 | − | 0.917260i | \(-0.369604\pi\) |
−0.749287 | + | 0.662245i | \(0.769604\pi\) | |||||||
\(240\) | 3.49223 | − | 1.67461i | 0.225423 | − | 0.108096i | ||||
\(241\) | 7.73169 | − | 5.61740i | 0.498042 | − | 0.361849i | −0.310227 | − | 0.950663i | \(-0.600405\pi\) |
0.808269 | + | 0.588814i | \(0.200405\pi\) | |||||||
\(242\) | −1.57838 | − | 3.09774i | −0.101462 | − | 0.199131i | ||||
\(243\) | 15.3808 | − | 2.53604i | 0.986678 | − | 0.162687i | ||||
\(244\) | −9.57865 | − | 3.11229i | −0.613210 | − | 0.199244i | ||||
\(245\) | −7.73856 | + | 6.90603i | −0.494398 | + | 0.441210i | ||||
\(246\) | 15.6847 | + | 1.96126i | 1.00002 | + | 0.125045i | ||||
\(247\) | −4.39347 | + | 8.62267i | −0.279550 | + | 0.548647i | ||||
\(248\) | −0.940031 | − | 5.93512i | −0.0596920 | − | 0.376881i | ||||
\(249\) | −5.71693 | + | 12.1891i | −0.362295 | + | 0.772455i | ||||
\(250\) | −8.01001 | + | 7.79998i | −0.506598 | + | 0.493314i | ||||
\(251\) | − | 14.1774i | − | 0.894872i | −0.894316 | − | 0.447436i | \(-0.852337\pi\) | ||
0.894316 | − | 0.447436i | \(-0.147663\pi\) | |||||||
\(252\) | −3.03998 | + | 3.46584i | −0.191501 | + | 0.218327i | ||||
\(253\) | 12.5767 | + | 6.40816i | 0.790692 | + | 0.402878i | ||||
\(254\) | −2.70814 | − | 8.33479i | −0.169924 | − | 0.522971i | ||||
\(255\) | −6.77038 | − | 22.6835i | −0.423977 | − | 1.42049i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −13.7580 | + | 13.7580i | −0.858198 | + | 0.858198i | −0.991126 | − | 0.132928i | \(-0.957562\pi\) |
0.132928 | + | 0.991126i | \(0.457562\pi\) | |||||||
\(258\) | −0.532807 | − | 16.2966i | −0.0331711 | − | 1.01458i | ||||
\(259\) | 3.00902 | + | 4.14157i | 0.186972 | + | 0.257344i | ||||
\(260\) | −3.21299 | + | 3.93199i | −0.199261 | + | 0.243852i | ||||
\(261\) | −22.9672 | + | 1.50340i | −1.42163 | + | 0.0930581i | ||||
\(262\) | 11.4404 | + | 1.81198i | 0.706791 | + | 0.111945i | ||||
\(263\) | −11.7698 | − | 1.86416i | −0.725759 | − | 0.114949i | −0.217386 | − | 0.976086i | \(-0.569753\pi\) |
−0.508373 | + | 0.861137i | \(0.669753\pi\) | |||||||
\(264\) | −2.29398 | − | 4.16024i | −0.141185 | − | 0.256045i | ||||
\(265\) | 0.949923 | − | 0.250028i | 0.0583533 | − | 0.0153591i | ||||
\(266\) | −3.84933 | − | 5.29814i | −0.236017 | − | 0.324850i | ||||
\(267\) | −17.3872 | + | 0.568462i | −1.06408 | + | 0.0347893i | ||||
\(268\) | 4.19536 | − | 4.19536i | 0.256272 | − | 0.256272i | ||||
\(269\) | 4.78303 | − | 14.7206i | 0.291626 | − | 0.897534i | −0.692707 | − | 0.721219i | \(-0.743582\pi\) |
0.984334 | − | 0.176315i | \(-0.0564178\pi\) | |||||||
\(270\) | −3.13159 | + | 11.1890i | −0.190583 | + | 0.680939i | ||||
\(271\) | −1.58590 | − | 4.88090i | −0.0963366 | − | 0.296494i | 0.891263 | − | 0.453487i | \(-0.149820\pi\) |
−0.987600 | + | 0.156993i | \(0.949820\pi\) | |||||||
\(272\) | −5.44598 | − | 2.77486i | −0.330211 | − | 0.168251i | ||||
\(273\) | 1.67894 | − | 5.80640i | 0.101614 | − | 0.351419i | ||||
\(274\) | − | 7.33874i | − | 0.443350i | ||||||
\(275\) | 10.1101 | + | 9.26658i | 0.609660 | + | 0.558796i | ||||
\(276\) | −8.06987 | − | 3.78491i | −0.485749 | − | 0.227825i | ||||
\(277\) | −0.610374 | − | 3.85375i | −0.0366738 | − | 0.231549i | 0.962543 | − | 0.271131i | \(-0.0873976\pi\) |
−0.999216 | + | 0.0395814i | \(0.987398\pi\) | |||||||
\(278\) | 3.95790 | − | 7.76781i | 0.237379 | − | 0.465882i | ||||
\(279\) | 15.2454 | + | 9.62093i | 0.912718 | + | 0.575990i | ||||
\(280\) | −1.38372 | − | 3.14529i | −0.0826929 | − | 0.187967i | ||||
\(281\) | 2.23510 | + | 0.726229i | 0.133335 | + | 0.0433232i | 0.374924 | − | 0.927055i | \(-0.377669\pi\) |
−0.241589 | + | 0.970379i | \(0.577669\pi\) | |||||||
\(282\) | −3.93405 | + | 1.42198i | −0.234269 | + | 0.0846774i | ||||
\(283\) | 1.55470 | + | 3.05128i | 0.0924175 | + | 0.181380i | 0.932588 | − | 0.360943i | \(-0.117545\pi\) |
−0.840170 | + | 0.542322i | \(0.817545\pi\) | |||||||
\(284\) | 5.01163 | − | 3.64116i | 0.297386 | − | 0.216063i | ||||
\(285\) | −14.5213 | − | 7.84543i | −0.860165 | − | 0.464723i | ||||
\(286\) | 5.03908 | + | 3.66111i | 0.297967 | + | 0.216486i | ||||
\(287\) | 2.19387 | − | 13.8516i | 0.129500 | − | 0.817631i | ||||
\(288\) | 1.53366 | + | 2.57835i | 0.0903719 | + | 0.151931i | ||||
\(289\) | −11.9665 | + | 16.4704i | −0.703909 | + | 0.968848i | ||||
\(290\) | 6.21879 | − | 15.9885i | 0.365180 | − | 0.938880i | ||||
\(291\) | 3.96568 | + | 20.6467i | 0.232472 | + | 1.21033i | ||||
\(292\) | 9.26435 | − | 4.72042i | 0.542155 | − | 0.276242i | ||||
\(293\) | 13.9865 | + | 13.9865i | 0.817101 | + | 0.817101i | 0.985687 | − | 0.168586i | \(-0.0539201\pi\) |
−0.168586 | + | 0.985687i | \(0.553920\pi\) | |||||||
\(294\) | −5.86358 | − | 5.49231i | −0.341971 | − | 0.320318i | ||||
\(295\) | 15.8538 | + | 3.44326i | 0.923042 | + | 0.200474i | ||||
\(296\) | 3.16825 | − | 1.02943i | 0.184151 | − | 0.0598342i | ||||
\(297\) | 13.9208 | + | 3.05618i | 0.807768 | + | 0.177337i | ||||
\(298\) | 0.895858 | − | 0.141890i | 0.0518957 | − | 0.00821947i | ||||
\(299\) | 11.6861 | 0.675827 | ||||||||
\(300\) | −6.57206 | − | 5.63987i | −0.379438 | − | 0.325618i | ||||
\(301\) | −14.4665 | −0.833835 | ||||||||
\(302\) | 6.99061 | − | 1.10720i | 0.402264 | − | 0.0637124i | ||||
\(303\) | 3.76157 | + | 4.83672i | 0.216096 | + | 0.277862i | ||||
\(304\) | −4.05302 | + | 1.31690i | −0.232456 | + | 0.0755297i | ||||
\(305\) | 2.25486 | + | 22.4076i | 0.129113 | + | 1.28305i | ||||
\(306\) | 17.0317 | − | 6.79328i | 0.973636 | − | 0.388346i | ||||
\(307\) | −0.108217 | − | 0.108217i | −0.00617628 | − | 0.00617628i | 0.704012 | − | 0.710188i | \(-0.251390\pi\) |
−0.710188 | + | 0.704012i | \(0.751390\pi\) | |||||||
\(308\) | −3.75560 | + | 1.91357i | −0.213995 | + | 0.109036i | ||||
\(309\) | 28.0347 | − | 5.38472i | 1.59484 | − | 0.306326i | ||||
\(310\) | −11.3013 | + | 7.26822i | −0.641872 | + | 0.412807i | ||||
\(311\) | 9.64088 | − | 13.2695i | 0.546684 | − | 0.752446i | −0.442874 | − | 0.896584i | \(-0.646041\pi\) |
0.989558 | + | 0.144138i | \(0.0460410\pi\) | |||||||
\(312\) | −3.25590 | − | 2.20668i | −0.184329 | − | 0.124929i | ||||
\(313\) | −3.64820 | + | 23.0338i | −0.206208 | + | 1.30195i | 0.639702 | + | 0.768623i | \(0.279058\pi\) |
−0.845911 | + | 0.533325i | \(0.820942\pi\) | |||||||
\(314\) | 3.53557 | + | 2.56874i | 0.199523 | + | 0.144962i | ||||
\(315\) | 9.83103 | + | 3.10133i | 0.553916 | + | 0.174740i | ||||
\(316\) | 5.16175 | − | 3.75023i | 0.290371 | − | 0.210967i | ||||
\(317\) | 3.25049 | + | 6.37945i | 0.182566 | + | 0.358305i | 0.964093 | − | 0.265566i | \(-0.0855589\pi\) |
−0.781527 | + | 0.623872i | \(0.785559\pi\) | |||||||
\(318\) | 0.258641 | + | 0.715559i | 0.0145039 | + | 0.0401266i | ||||
\(319\) | −20.0137 | − | 6.50283i | −1.12055 | − | 0.364089i | ||||
\(320\) | −2.22483 | + | 0.223884i | −0.124372 | + | 0.0125155i | ||||
\(321\) | 0.403367 | − | 3.22583i | 0.0225137 | − | 0.180049i | ||||
\(322\) | −3.59023 | + | 7.04623i | −0.200076 | + | 0.392671i | ||||
\(323\) | 4.07474 | + | 25.7269i | 0.226724 | + | 1.43148i | ||||
\(324\) | −8.84902 | − | 1.64162i | −0.491612 | − | 0.0912009i | ||||
\(325\) | 10.9409 | + | 3.03571i | 0.606893 | + | 0.168391i | ||||
\(326\) | − | 7.61951i | − | 0.422005i | ||||||
\(327\) | −30.2033 | − | 8.73340i | −1.67025 | − | 0.482958i | ||||
\(328\) | −8.13141 | − | 4.14316i | −0.448982 | − | 0.228768i | ||||
\(329\) | 1.14688 | + | 3.52974i | 0.0632297 | + | 0.194601i | ||||
\(330\) | −6.44942 | + | 8.44125i | −0.355029 | + | 0.464676i | ||||
\(331\) | 5.06152 | − | 15.5778i | 0.278206 | − | 0.856231i | −0.710147 | − | 0.704054i | \(-0.751371\pi\) |
0.988353 | − | 0.152177i | \(-0.0486285\pi\) | |||||||
\(332\) | 5.49634 | − | 5.49634i | 0.301651 | − | 0.301651i | ||||
\(333\) | −3.94580 | + | 9.18196i | −0.216229 | + | 0.503168i | ||||
\(334\) | −9.23170 | − | 12.7063i | −0.505136 | − | 0.695260i | ||||
\(335\) | −12.3645 | − | 4.80922i | −0.675546 | − | 0.262756i | ||||
\(336\) | 2.33081 | − | 1.28522i | 0.127156 | − | 0.0701147i | ||||
\(337\) | 9.30661 | + | 1.47402i | 0.506963 | + | 0.0802951i | 0.404677 | − | 0.914460i | \(-0.367384\pi\) |
0.102287 | + | 0.994755i | \(0.467384\pi\) | |||||||
\(338\) | −7.74667 | − | 1.22695i | −0.421363 | − | 0.0667374i | ||||
\(339\) | −10.0581 | + | 5.54606i | −0.546278 | + | 0.301221i | ||||
\(340\) | −0.775714 | + | 13.6452i | −0.0420690 | + | 0.740014i | ||||
\(341\) | 9.68798 | + | 13.3344i | 0.524634 | + | 0.722096i | ||||
\(342\) | 5.04771 | − | 11.7461i | 0.272949 | − | 0.635157i | ||||
\(343\) | −12.6467 | + | 12.6467i | −0.682856 | + | 0.682856i | ||||
\(344\) | −2.90906 | + | 8.95315i | −0.156846 | + | 0.482722i | ||||
\(345\) | −0.480392 | + | 19.9251i | −0.0258634 | + | 1.07273i | ||||
\(346\) | 5.83185 | + | 17.9486i | 0.313522 | + | 0.964922i | ||||
\(347\) | −21.2743 | − | 10.8398i | −1.14207 | − | 0.581912i | −0.222533 | − | 0.974925i | \(-0.571433\pi\) |
−0.919533 | + | 0.393013i | \(0.871433\pi\) | |||||||
\(348\) | 12.7655 | + | 3.69121i | 0.684305 | + | 0.197869i | ||||
\(349\) | 21.3598i | 1.14336i | 0.820476 | + | 0.571681i | \(0.193708\pi\) | ||||
−0.820476 | + | 0.571681i | \(0.806292\pi\) | |||||||
\(350\) | −5.19169 | + | 5.66426i | −0.277507 | + | 0.302768i | ||||
\(351\) | 11.4178 | − | 2.97788i | 0.609435 | − | 0.158947i | ||||
\(352\) | 0.429079 | + | 2.70910i | 0.0228700 | + | 0.144395i | ||||
\(353\) | −5.39943 | + | 10.5970i | −0.287383 | + | 0.564020i | −0.988891 | − | 0.148641i | \(-0.952510\pi\) |
0.701509 | + | 0.712661i | \(0.252510\pi\) | |||||||
\(354\) | −1.55921 | + | 12.4695i | −0.0828713 | + | 0.662745i | ||||
\(355\) | −11.9652 | − | 6.97895i | −0.635048 | − | 0.370404i | ||||
\(356\) | 9.55229 | + | 3.10373i | 0.506271 | + | 0.164497i | ||||
\(357\) | −5.53017 | − | 15.2998i | −0.292687 | − | 0.809751i | ||||
\(358\) | 11.7539 | + | 23.0682i | 0.621211 | + | 1.21919i | ||||
\(359\) | 25.6736 | − | 18.6530i | 1.35500 | − | 0.984467i | 0.356257 | − | 0.934388i | \(-0.384053\pi\) |
0.998745 | − | 0.0500792i | \(-0.0159474\pi\) | |||||||
\(360\) | 3.89629 | − | 5.46067i | 0.205352 | − | 0.287803i | ||||
\(361\) | −0.678618 | − | 0.493045i | −0.0357167 | − | 0.0259497i | ||||
\(362\) | 1.33280 | − | 8.41497i | 0.0700504 | − | 0.442281i | ||||
\(363\) | −4.98479 | − | 3.37843i | −0.261633 | − | 0.177322i | ||||
\(364\) | −2.05117 | + | 2.82319i | −0.107510 | + | 0.147975i | ||||
\(365\) | −18.0035 | − | 14.7114i | −0.942347 | − | 0.770032i | ||||
\(366\) | −17.1314 | + | 3.29048i | −0.895470 | + | 0.171996i | ||||
\(367\) | −7.10027 | + | 3.61777i | −0.370631 | + | 0.188846i | −0.629378 | − | 0.777099i | \(-0.716690\pi\) |
0.258747 | + | 0.965945i | \(0.416690\pi\) | |||||||
\(368\) | 3.63887 | + | 3.63887i | 0.189689 | + | 0.189689i | ||||
\(369\) | 25.4301 | − | 10.1431i | 1.32384 | − | 0.528027i | ||||
\(370\) | −4.95979 | − | 5.55770i | −0.257847 | − | 0.288931i | ||||
\(371\) | 0.642021 | − | 0.208605i | 0.0333320 | − | 0.0108302i | ||||
\(372\) | −6.38960 | − | 8.21591i | −0.331285 | − | 0.425975i | ||||
\(373\) | 6.60991 | − | 1.04691i | 0.342248 | − | 0.0542068i | 0.0170555 | − | 0.999855i | \(-0.494571\pi\) |
0.325193 | + | 0.945648i | \(0.394571\pi\) | |||||||
\(374\) | 16.7649 | 0.866890 | ||||||||
\(375\) | −5.62571 | + | 18.5297i | −0.290511 | + | 0.956872i | ||||
\(376\) | 2.41514 | 0.124551 | ||||||||
\(377\) | −17.2077 | + | 2.72544i | −0.886244 | + | 0.140367i | ||||
\(378\) | −1.71225 | + | 7.79927i | −0.0880687 | + | 0.401151i | ||||
\(379\) | −2.68053 | + | 0.870958i | −0.137690 | + | 0.0447381i | −0.377051 | − | 0.926192i | \(-0.623062\pi\) |
0.239361 | + | 0.970931i | \(0.423062\pi\) | |||||||
\(380\) | 6.34487 | + | 7.10975i | 0.325485 | + | 0.364722i | ||||
\(381\) | −11.0783 | − | 10.3769i | −0.567560 | − | 0.531623i | ||||
\(382\) | 6.19848 | + | 6.19848i | 0.317142 | + | 0.317142i | ||||
\(383\) | 4.98907 | − | 2.54206i | 0.254930 | − | 0.129893i | −0.321856 | − | 0.946789i | \(-0.604307\pi\) |
0.576786 | + | 0.816895i | \(0.304307\pi\) | |||||||
\(384\) | −0.326709 | − | 1.70096i | −0.0166723 | − | 0.0868017i | ||||
\(385\) | 7.29830 | + | 5.96375i | 0.371956 | + | 0.303941i | ||||
\(386\) | −13.9816 | + | 19.2440i | −0.711643 | + | 0.979493i | ||||
\(387\) | −14.4377 | − | 24.2723i | −0.733911 | − | 1.23383i | ||||
\(388\) | 1.89884 | − | 11.9888i | 0.0963992 | − | 0.608641i | ||||
\(389\) | 4.72410 | + | 3.43226i | 0.239521 | + | 0.174022i | 0.701070 | − | 0.713092i | \(-0.252706\pi\) |
−0.461549 | + | 0.887115i | \(0.652706\pi\) | |||||||
\(390\) | −1.58481 | + | 8.65101i | −0.0802500 | + | 0.438061i | ||||
\(391\) | 25.4469 | − | 18.4882i | 1.28690 | − | 0.934991i | ||||
\(392\) | 2.10584 | + | 4.13293i | 0.106361 | + | 0.208745i | ||||
\(393\) | 18.8677 | − | 6.81979i | 0.951748 | − | 0.344013i | ||||
\(394\) | 6.67055 | + | 2.16739i | 0.336058 | + | 0.109192i | ||||
\(395\) | −12.3236 | − | 7.18800i | −0.620069 | − | 0.361667i | ||||
\(396\) | −6.95879 | − | 4.39149i | −0.349692 | − | 0.220681i | ||||
\(397\) | −2.73792 | + | 5.37347i | −0.137412 | + | 0.269687i | −0.949450 | − | 0.313918i | \(-0.898358\pi\) |
0.812038 | + | 0.583605i | \(0.198358\pi\) | |||||||
\(398\) | 2.89195 | + | 18.2591i | 0.144960 | + | 0.915244i | ||||
\(399\) | −10.2695 | − | 4.81659i | −0.514120 | − | 0.241131i | ||||
\(400\) | 2.46156 | + | 4.35210i | 0.123078 | + | 0.217605i | ||||
\(401\) | 21.8156i | 1.08942i | 0.838626 | + | 0.544708i | \(0.183360\pi\) | ||||
−0.838626 | + | 0.544708i | \(0.816640\pi\) | |||||||
\(402\) | 2.85454 | − | 9.87206i | 0.142372 | − | 0.492374i | ||||
\(403\) | 12.1585 | + | 6.19506i | 0.605658 | + | 0.308598i | ||||
\(404\) | −1.09317 | − | 3.36443i | −0.0543872 | − | 0.167387i | ||||
\(405\) | 4.60799 | + | 19.5900i | 0.228973 | + | 0.973433i | ||||
\(406\) | 3.64327 | − | 11.2128i | 0.180812 | − | 0.556484i | ||||
\(407\) | −6.46105 | + | 6.46105i | −0.320262 | + | 0.320262i | ||||
\(408\) | −10.5809 | + | 0.345936i | −0.523834 | + | 0.0171264i | ||||
\(409\) | −10.2656 | − | 14.1294i | −0.507603 | − | 0.698656i | 0.475910 | − | 0.879494i | \(-0.342119\pi\) |
−0.983513 | + | 0.180838i | \(0.942119\pi\) | |||||||
\(410\) | −1.15822 | + | 20.3737i | −0.0572004 | + | 1.00618i | ||||
\(411\) | −6.13771 | − | 11.1310i | −0.302751 | − | 0.549053i | ||||
\(412\) | −16.2788 | − | 2.57831i | −0.801999 | − | 0.127024i | ||||
\(413\) | 11.0121 | + | 1.74414i | 0.541870 | + | 0.0858237i | ||||
\(414\) | −15.4055 | + | 1.00842i | −0.757137 | + | 0.0495611i | ||||
\(415\) | −16.1988 | − | 6.30056i | −0.795166 | − | 0.309282i | ||||
\(416\) | 1.33477 | + | 1.83716i | 0.0654427 | + | 0.0900741i | ||||
\(417\) | −0.493421 | − | 15.0920i | −0.0241630 | − | 0.739058i | ||||
\(418\) | 8.26536 | − | 8.26536i | 0.404272 | − | 0.404272i | ||||
\(419\) | −2.70937 | + | 8.33859i | −0.132361 | + | 0.407367i | −0.995170 | − | 0.0981637i | \(-0.968703\pi\) |
0.862809 | + | 0.505530i | \(0.168703\pi\) | |||||||
\(420\) | −4.72929 | − | 3.61335i | −0.230766 | − | 0.176313i | ||||
\(421\) | −10.5794 | − | 32.5601i | −0.515610 | − | 1.58688i | −0.782170 | − | 0.623065i | \(-0.785887\pi\) |
0.266560 | − | 0.963818i | \(-0.414113\pi\) | |||||||
\(422\) | −13.9630 | − | 7.11453i | −0.679710 | − | 0.346330i | ||||
\(423\) | −4.77770 | + | 5.44700i | −0.232300 | + | 0.264842i | ||||
\(424\) | − | 0.439287i | − | 0.0213337i | ||||||
\(425\) | 28.6269 | − | 10.6989i | 1.38861 | − | 0.518974i | ||||
\(426\) | 4.55612 | − | 9.71418i | 0.220745 | − | 0.470653i | ||||
\(427\) | 2.42116 | + | 15.2866i | 0.117168 | + | 0.739772i | ||||
\(428\) | −0.852113 | + | 1.67237i | −0.0411884 | + | 0.0808369i | ||||
\(429\) | 10.7050 | + | 1.33858i | 0.516841 | + | 0.0646271i | ||||
\(430\) | 20.9443 | − | 2.10762i | 1.01003 | − | 0.101638i | ||||
\(431\) | 2.50367 | + | 0.813491i | 0.120597 | + | 0.0391845i | 0.368694 | − | 0.929551i | \(-0.379805\pi\) |
−0.248097 | + | 0.968735i | \(0.579805\pi\) | |||||||
\(432\) | 4.48257 | + | 2.62804i | 0.215668 | + | 0.126442i | ||||
\(433\) | −17.1431 | − | 33.6451i | −0.823843 | − | 1.61688i | −0.786509 | − | 0.617579i | \(-0.788114\pi\) |
−0.0373338 | − | 0.999303i | \(-0.511886\pi\) | |||||||
\(434\) | −7.47070 | + | 5.42778i | −0.358605 | + | 0.260542i | ||||
\(435\) | −3.93957 | − | 29.4517i | −0.188888 | − | 1.41210i | ||||
\(436\) | 14.6855 | + | 10.6696i | 0.703307 | + | 0.510982i | ||||
\(437\) | 3.43073 | − | 21.6608i | 0.164114 | − | 1.03618i | ||||
\(438\) | 10.1038 | − | 14.9079i | 0.482778 | − | 0.712326i | ||||
\(439\) | 1.73789 | − | 2.39200i | 0.0829451 | − | 0.114164i | −0.765528 | − | 0.643402i | \(-0.777522\pi\) |
0.848473 | + | 0.529238i | \(0.177522\pi\) | |||||||
\(440\) | 5.15851 | − | 3.31759i | 0.245922 | − | 0.158160i | ||||
\(441\) | −13.4870 | − | 3.42649i | −0.642240 | − | 0.163166i | ||||
\(442\) | 12.3670 | − | 6.30131i | 0.588239 | − | 0.299723i | ||||
\(443\) | 8.33207 | + | 8.33207i | 0.395869 | + | 0.395869i | 0.876773 | − | 0.480904i | \(-0.159692\pi\) |
−0.480904 | + | 0.876773i | \(0.659692\pi\) | |||||||
\(444\) | 3.94449 | − | 4.21113i | 0.187197 | − | 0.199851i | ||||
\(445\) | −2.24866 | − | 22.3459i | −0.106597 | − | 1.05930i | ||||
\(446\) | 23.3229 | − | 7.57807i | 1.10437 | − | 0.358832i | ||||
\(447\) | 1.24012 | − | 0.964457i | 0.0586558 | − | 0.0456172i | ||||
\(448\) | −1.51780 | + | 0.240395i | −0.0717092 | + | 0.0113576i | ||||
\(449\) | 11.1961 | 0.528377 | 0.264188 | − | 0.964471i | \(-0.414896\pi\) | ||||
0.264188 | + | 0.964471i | \(0.414896\pi\) | |||||||
\(450\) | −14.6850 | − | 3.05777i | −0.692259 | − | 0.144144i | ||||
\(451\) | 25.0317 | 1.17869 | ||||||||
\(452\) | 6.54968 | − | 1.03737i | 0.308071 | − | 0.0487936i | ||||
\(453\) | 9.67700 | − | 7.52590i | 0.454665 | − | 0.353598i | ||||
\(454\) | −20.7525 | + | 6.74288i | −0.973961 | + | 0.316459i | ||||
\(455\) | 7.62534 | + | 1.65614i | 0.357481 | + | 0.0776410i | ||||
\(456\) | −5.04603 | + | 5.38713i | −0.236302 | + | 0.252275i | ||||
\(457\) | −7.27927 | − | 7.27927i | −0.340510 | − | 0.340510i | 0.516049 | − | 0.856559i | \(-0.327402\pi\) |
−0.856559 | + | 0.516049i | \(0.827402\pi\) | |||||||
\(458\) | −13.2567 | + | 6.75464i | −0.619446 | + | 0.315624i | ||||
\(459\) | 20.1513 | − | 24.5480i | 0.940581 | − | 1.14580i | ||||
\(460\) | 4.17131 | − | 10.7245i | 0.194488 | − | 0.500031i | ||||
\(461\) | 11.8441 | − | 16.3020i | 0.551633 | − | 0.759258i | −0.438600 | − | 0.898683i | \(-0.644525\pi\) |
0.990233 | + | 0.139425i | \(0.0445253\pi\) | |||||||
\(462\) | −4.09590 | + | 6.04339i | −0.190559 | + | 0.281164i | ||||
\(463\) | −0.0186291 | + | 0.117620i | −0.000865770 | + | 0.00546626i | −0.988117 | − | 0.153701i | \(-0.950881\pi\) |
0.987252 | + | 0.159167i | \(0.0508808\pi\) | |||||||
\(464\) | −6.20687 | − | 4.50956i | −0.288147 | − | 0.209351i | ||||
\(465\) | −11.0625 | + | 20.4759i | −0.513013 | + | 0.949545i | ||||
\(466\) | −8.09078 | + | 5.87830i | −0.374798 | + | 0.272307i | ||||
\(467\) | 7.83859 | + | 15.3841i | 0.362727 | + | 0.711892i | 0.998184 | − | 0.0602449i | \(-0.0191882\pi\) |
−0.635457 | + | 0.772136i | \(0.719188\pi\) | |||||||
\(468\) | −6.78393 | − | 0.623934i | −0.313587 | − | 0.0288413i | ||||
\(469\) | −8.67129 | − | 2.81747i | −0.400403 | − | 0.130099i | ||||
\(470\) | −2.17468 | − | 4.94321i | −0.100311 | − | 0.228013i | ||||
\(471\) | 7.51091 | + | 0.939185i | 0.346085 | + | 0.0432754i | ||||
\(472\) | 3.29384 | − | 6.46453i | 0.151611 | − | 0.297554i | ||||
\(473\) | −4.03931 | − | 25.5032i | −0.185728 | − | 1.17264i | ||||
\(474\) | 4.69260 | − | 10.0052i | 0.215538 | − | 0.459552i | ||||
\(475\) | 8.83878 | − | 19.3883i | 0.405551 | − | 0.889596i | ||||
\(476\) | 9.39267i | 0.430512i | ||||||||
\(477\) | 0.990748 | + | 0.869011i | 0.0453632 | + | 0.0397893i | ||||
\(478\) | 5.97621 | + | 3.04503i | 0.273345 | + | 0.139276i | ||||
\(479\) | −6.64843 | − | 20.4618i | −0.303775 | − | 0.934922i | −0.980132 | − | 0.198348i | \(-0.936442\pi\) |
0.676357 | − | 0.736574i | \(-0.263558\pi\) | |||||||
\(480\) | −3.18727 | + | 2.20030i | −0.145478 | + | 0.100429i | ||||
\(481\) | −2.33768 | + | 7.19463i | −0.106589 | + | 0.328047i | ||||
\(482\) | −6.75775 | + | 6.75775i | −0.307807 | + | 0.307807i | ||||
\(483\) | 0.447586 | + | 13.6900i | 0.0203659 | + | 0.622918i | ||||
\(484\) | 2.04354 | + | 2.81269i | 0.0928882 | + | 0.127850i | ||||
\(485\) | −26.2480 | + | 6.90871i | −1.19186 | + | 0.313708i | ||||
\(486\) | −14.7947 | + | 4.91090i | −0.671101 | + | 0.222763i | ||||
\(487\) | 2.58759 | + | 0.409833i | 0.117255 | + | 0.0185713i | 0.214786 | − | 0.976661i | \(-0.431095\pi\) |
−0.0975313 | + | 0.995232i | \(0.531095\pi\) | |||||||
\(488\) | 9.94759 | + | 1.57554i | 0.450306 | + | 0.0713215i | ||||
\(489\) | −6.37253 | − | 11.5569i | −0.288176 | − | 0.522620i | ||||
\(490\) | 6.56294 | − | 8.03158i | 0.296483 | − | 0.362830i | ||||
\(491\) | 4.48442 | + | 6.17227i | 0.202379 | + | 0.278551i | 0.898128 | − | 0.439734i | \(-0.144927\pi\) |
−0.695749 | + | 0.718285i | \(0.744927\pi\) | |||||||
\(492\) | −15.7984 | + | 0.516518i | −0.712247 | + | 0.0232864i | ||||
\(493\) | −33.1585 | + | 33.1585i | −1.49338 | + | 1.49338i | ||||
\(494\) | 2.99050 | − | 9.20380i | 0.134549 | − | 0.414099i | ||||
\(495\) | −2.72237 | + | 18.1972i | −0.122361 | + | 0.817903i | ||||
\(496\) | 1.85692 | + | 5.71500i | 0.0833780 | + | 0.256611i | ||||
\(497\) | −8.48196 | − | 4.32177i | −0.380468 | − | 0.193858i | ||||
\(498\) | 3.73974 | − | 12.9334i | 0.167582 | − | 0.579559i | ||||
\(499\) | − | 26.6590i | − | 1.19342i | −0.802456 | − | 0.596711i | \(-0.796474\pi\) | ||
0.802456 | − | 0.596711i | \(-0.203526\pi\) | |||||||
\(500\) | 6.69121 | − | 8.95699i | 0.299240 | − | 0.400569i | ||||
\(501\) | −24.6290 | − | 11.5515i | −1.10034 | − | 0.516081i | ||||
\(502\) | 2.21784 | + | 14.0029i | 0.0989870 | + | 0.624979i | ||||
\(503\) | −7.87808 | + | 15.4616i | −0.351266 | + | 0.689399i | −0.997263 | − | 0.0739419i | \(-0.976442\pi\) |
0.645996 | + | 0.763340i | \(0.276442\pi\) | |||||||
\(504\) | 2.46037 | − | 3.89872i | 0.109594 | − | 0.173663i | ||||
\(505\) | −5.90184 | + | 5.26691i | −0.262629 | + | 0.234374i | ||||
\(506\) | −13.4243 | − | 4.36183i | −0.596785 | − | 0.193907i | ||||
\(507\) | −12.7759 | + | 4.61790i | −0.567398 | + | 0.205088i | ||||
\(508\) | 3.97865 | + | 7.80853i | 0.176524 | + | 0.346448i | ||||
\(509\) | −33.7904 | + | 24.5502i | −1.49773 | + | 1.08817i | −0.526461 | + | 0.850199i | \(0.676482\pi\) |
−0.971273 | + | 0.237969i | \(0.923518\pi\) | |||||||
\(510\) | 10.2355 | + | 21.3451i | 0.453236 | + | 0.945176i | ||||
\(511\) | −12.9266 | − | 9.39175i | −0.571841 | − | 0.415467i | ||||
\(512\) | −0.156434 | + | 0.987688i | −0.00691349 | + | 0.0436501i | ||||
\(513\) | −2.16769 | − | 22.0375i | −0.0957056 | − | 0.972981i | ||||
\(514\) | 11.4364 | − | 15.7408i | 0.504436 | − | 0.694297i | ||||
\(515\) | 9.38086 | + | 35.6403i | 0.413370 | + | 1.57050i | ||||
\(516\) | 3.07560 | + | 16.0127i | 0.135396 | + | 0.704918i | ||||
\(517\) | −5.90240 | + | 3.00742i | −0.259587 | + | 0.132266i | ||||
\(518\) | −3.61986 | − | 3.61986i | −0.159048 | − | 0.159048i | ||||
\(519\) | 23.8566 | + | 22.3461i | 1.04719 | + | 0.980884i | ||||
\(520\) | 2.55834 | − | 4.38620i | 0.112190 | − | 0.192348i | ||||
\(521\) | 16.9663 | − | 5.51270i | 0.743309 | − | 0.241516i | 0.0872091 | − | 0.996190i | \(-0.472205\pi\) |
0.656099 | + | 0.754674i | \(0.272205\pi\) | |||||||
\(522\) | 22.4493 | − | 5.07775i | 0.982577 | − | 0.222247i | ||||
\(523\) | 5.49799 | − | 0.870797i | 0.240410 | − | 0.0380773i | −0.0350664 | − | 0.999385i | \(-0.511164\pi\) |
0.275477 | + | 0.961308i | \(0.411164\pi\) | |||||||
\(524\) | −11.5830 | −0.506006 | ||||||||
\(525\) | −3.13722 | + | 12.9333i | −0.136919 | + | 0.564456i | ||||
\(526\) | 11.9165 | 0.519586 | ||||||||
\(527\) | 36.2764 | − | 5.74562i | 1.58023 | − | 0.250283i | ||||
\(528\) | 2.91654 | + | 3.75017i | 0.126926 | + | 0.163205i | ||||
\(529\) | −3.31234 | + | 1.07624i | −0.144015 | + | 0.0467932i | ||||
\(530\) | −0.899114 | + | 0.395551i | −0.0390550 | + | 0.0171816i | ||||
\(531\) | 8.06382 | + | 20.2171i | 0.349940 | + | 0.877347i | ||||
\(532\) | 4.63075 | + | 4.63075i | 0.200768 | + | 0.200768i | ||||
\(533\) | 18.4652 | − | 9.40850i | 0.799818 | − | 0.407527i | ||||
\(534\) | 17.0842 | − | 3.28142i | 0.739307 | − | 0.142001i | ||||
\(535\) | 4.19020 | + | 0.238208i | 0.181158 | + | 0.0102986i | ||||
\(536\) | −3.48741 | + | 4.80000i | −0.150633 | + | 0.207328i | ||||
\(537\) | 37.1206 | + | 25.1585i | 1.60187 | + | 1.08567i | ||||
\(538\) | −2.42133 | + | 15.2876i | −0.104391 | + | 0.659097i | ||||
\(539\) | −10.2930 | − | 7.47827i | −0.443349 | − | 0.322112i | ||||
\(540\) | 1.34269 | − | 11.5411i | 0.0577804 | − | 0.496650i | ||||
\(541\) | −11.9935 | + | 8.71377i | −0.515640 | + | 0.374634i | −0.814959 | − | 0.579519i | \(-0.803241\pi\) |
0.299319 | + | 0.954153i | \(0.403241\pi\) | |||||||
\(542\) | 2.32992 | + | 4.57272i | 0.100079 | + | 0.196415i | ||||
\(543\) | −5.01628 | − | 13.8781i | −0.215269 | − | 0.595565i | ||||
\(544\) | 5.81301 | + | 1.88876i | 0.249231 | + | 0.0809800i | ||||
\(545\) | 8.61478 | − | 39.6649i | 0.369017 | − | 1.69906i | ||||
\(546\) | −0.749951 | + | 5.99756i | −0.0320949 | + | 0.256672i | ||||
\(547\) | −16.7685 | + | 32.9101i | −0.716970 | + | 1.40713i | 0.188221 | + | 0.982127i | \(0.439728\pi\) |
−0.905191 | + | 0.425006i | \(0.860272\pi\) | |||||||
\(548\) | 1.14803 | + | 7.24839i | 0.0490415 | + | 0.309636i | ||||
\(549\) | −23.2320 | + | 19.3185i | −0.991518 | + | 0.824495i | ||||
\(550\) | −11.4352 | − | 7.57093i | −0.487599 | − | 0.322825i | ||||
\(551\) | 32.6954i | 1.39287i | ||||||||
\(552\) | 8.56261 | + | 2.47591i | 0.364449 | + | 0.105382i | ||||
\(553\) | −8.73602 | − | 4.45123i | −0.371493 | − | 0.189285i | ||||
\(554\) | 1.20572 | + | 3.71082i | 0.0512261 | + | 0.157658i | ||||
\(555\) | −12.1709 | − | 4.28155i | −0.516627 | − | 0.181742i | ||||
\(556\) | −2.69402 | + | 8.29133i | −0.114252 | + | 0.351631i | ||||
\(557\) | −7.87026 | + | 7.87026i | −0.333474 | + | 0.333474i | −0.853904 | − | 0.520430i | \(-0.825772\pi\) |
0.520430 | + | 0.853904i | \(0.325772\pi\) | |||||||
\(558\) | −16.5627 | − | 7.11757i | −0.701157 | − | 0.301311i | ||||
\(559\) | −12.5654 | − | 17.2948i | −0.531461 | − | 0.731493i | ||||
\(560\) | 1.85871 | + | 2.89010i | 0.0785449 | + | 0.122129i | ||||
\(561\) | 25.4281 | − | 14.0212i | 1.07357 | − | 0.591975i | ||||
\(562\) | −2.32119 | − | 0.367641i | −0.0979136 | − | 0.0155080i | ||||
\(563\) | −3.65971 | − | 0.579641i | −0.154238 | − | 0.0244289i | 0.0788377 | − | 0.996887i | \(-0.474879\pi\) |
−0.233076 | + | 0.972459i | \(0.574879\pi\) | |||||||
\(564\) | 3.66317 | − | 2.01989i | 0.154247 | − | 0.0850527i | ||||
\(565\) | −8.02081 | − | 12.4715i | −0.337438 | − | 0.524681i | ||||
\(566\) | −2.01289 | − | 2.77050i | −0.0846079 | − | 0.116453i | ||||
\(567\) | 3.92582 | + | 13.2616i | 0.164869 | + | 0.556934i | ||||
\(568\) | −4.38033 | + | 4.38033i | −0.183794 | + | 0.183794i | ||||
\(569\) | −1.23085 | + | 3.78815i | −0.0515998 | + | 0.158808i | −0.973536 | − | 0.228534i | \(-0.926607\pi\) |
0.921936 | + | 0.387342i | \(0.126607\pi\) | |||||||
\(570\) | 15.5698 | + | 5.47722i | 0.652146 | + | 0.229415i | ||||
\(571\) | 9.70723 | + | 29.8758i | 0.406235 | + | 1.25026i | 0.919860 | + | 0.392248i | \(0.128302\pi\) |
−0.513625 | + | 0.858015i | \(0.671698\pi\) | |||||||
\(572\) | −5.54976 | − | 2.82775i | −0.232047 | − | 0.118234i | ||||
\(573\) | 14.5856 | + | 4.21748i | 0.609322 | + | 0.176188i | ||||
\(574\) | 14.0242i | 0.585359i | ||||||||
\(575\) | −25.7064 | + | 1.11904i | −1.07203 | + | 0.0466671i | ||||
\(576\) | −1.91812 | − | 2.30669i | −0.0799217 | − | 0.0961120i | ||||
\(577\) | 2.77556 | + | 17.5242i | 0.115548 | + | 0.729541i | 0.975636 | + | 0.219395i | \(0.0704084\pi\) |
−0.860088 | + | 0.510145i | \(0.829592\pi\) | |||||||
\(578\) | 9.24259 | − | 18.1396i | 0.384441 | − | 0.754508i | ||||
\(579\) | −5.11196 | + | 40.8817i | −0.212446 | + | 1.69899i | ||||
\(580\) | −3.64107 | + | 16.7645i | −0.151187 | + | 0.696109i | ||||
\(581\) | −11.3603 | − | 3.69118i | −0.471303 | − | 0.153136i | ||||
\(582\) | −7.14671 | − | 19.7721i | −0.296241 | − | 0.819582i | ||||
\(583\) | 0.547016 | + | 1.07358i | 0.0226551 | + | 0.0444631i | ||||
\(584\) | −8.41185 | + | 6.11157i | −0.348085 | + | 0.252899i | ||||
\(585\) | 4.83145 | + | 14.4469i | 0.199756 | + | 0.597304i | ||||
\(586\) | −16.0023 | − | 11.6263i | −0.661049 | − | 0.480280i | ||||
\(587\) | 0.244573 | − | 1.54417i | 0.0100946 | − | 0.0637349i | −0.982127 | − | 0.188220i | \(-0.939728\pi\) |
0.992221 | + | 0.124486i | \(0.0397280\pi\) | |||||||
\(588\) | 6.65058 | + | 4.50742i | 0.274265 | + | 0.185883i | ||||
\(589\) | 15.0522 | − | 20.7176i | 0.620216 | − | 0.853654i | ||||
\(590\) | −16.1972 | − | 0.920794i | −0.666829 | − | 0.0379085i | ||||
\(591\) | 11.9302 | − | 2.29148i | 0.490745 | − | 0.0942590i | ||||
\(592\) | −2.96821 | + | 1.51238i | −0.121992 | + | 0.0621583i | ||||
\(593\) | −10.2180 | − | 10.2180i | −0.419603 | − | 0.419603i | 0.465464 | − | 0.885067i | \(-0.345887\pi\) |
−0.885067 | + | 0.465464i | \(0.845887\pi\) | |||||||
\(594\) | −14.2275 | − | 0.840853i | −0.583763 | − | 0.0345006i | ||||
\(595\) | 19.2245 | − | 8.45750i | 0.788128 | − | 0.346724i | ||||
\(596\) | −0.862632 | + | 0.280286i | −0.0353348 | + | 0.0114810i | ||||
\(597\) | 19.6572 | + | 25.2757i | 0.804516 | + | 1.03447i | ||||
\(598\) | −11.5423 | + | 1.82811i | −0.471998 | + | 0.0747571i | ||||
\(599\) | 22.7078 | 0.927816 | 0.463908 | − | 0.885883i | \(-0.346447\pi\) | ||||
0.463908 | + | 0.885883i | \(0.346447\pi\) | |||||||
\(600\) | 7.37341 | + | 4.54233i | 0.301018 | + | 0.185440i | ||||
\(601\) | 30.2561 | 1.23417 | 0.617087 | − | 0.786895i | \(-0.288313\pi\) | ||||
0.617087 | + | 0.786895i | \(0.288313\pi\) | |||||||
\(602\) | 14.2884 | − | 2.26306i | 0.582351 | − | 0.0922354i | ||||
\(603\) | −3.92681 | − | 17.3608i | −0.159912 | − | 0.706987i | ||||
\(604\) | −6.73134 | + | 2.18714i | −0.273894 | + | 0.0889936i | ||||
\(605\) | 3.91682 | − | 6.71528i | 0.159241 | − | 0.273015i | ||||
\(606\) | −4.47189 | − | 4.18873i | −0.181658 | − | 0.170156i | ||||
\(607\) | 18.2359 | + | 18.2359i | 0.740173 | + | 0.740173i | 0.972611 | − | 0.232438i | \(-0.0746703\pi\) |
−0.232438 | + | 0.972611i | \(0.574670\pi\) | |||||||
\(608\) | 3.79711 | − | 1.93472i | 0.153993 | − | 0.0784634i | ||||
\(609\) | −3.85186 | − | 20.0541i | −0.156085 | − | 0.812633i | ||||
\(610\) | −5.73242 | − | 21.7790i | −0.232099 | − | 0.881805i | ||||
\(611\) | −3.22367 | + | 4.43700i | −0.130416 | + | 0.179502i | ||||
\(612\) | −15.7593 | + | 9.37399i | −0.637032 | + | 0.378921i | ||||
\(613\) | −0.0961939 | + | 0.607344i | −0.00388524 | + | 0.0245304i | −0.989555 | − | 0.144157i | \(-0.953953\pi\) |
0.985670 | + | 0.168688i | \(0.0539529\pi\) | |||||||
\(614\) | 0.123814 | + | 0.0899560i | 0.00499672 | + | 0.00363033i | ||||
\(615\) | 15.2827 | + | 31.8704i | 0.616256 | + | 1.28514i | ||||
\(616\) | 3.41002 | − | 2.47752i | 0.137393 | − | 0.0998222i | ||||
\(617\) | −5.39346 | − | 10.5853i | −0.217133 | − | 0.426147i | 0.756588 | − | 0.653892i | \(-0.226865\pi\) |
−0.973721 | + | 0.227745i | \(0.926865\pi\) | |||||||
\(618\) | −26.8472 | + | 9.70402i | −1.07995 | + | 0.390353i | ||||
\(619\) | 17.4319 | + | 5.66397i | 0.700647 | + | 0.227654i | 0.637613 | − | 0.770357i | \(-0.279922\pi\) |
0.0630348 | + | 0.998011i | \(0.479922\pi\) | |||||||
\(620\) | 10.0252 | − | 8.94665i | 0.402621 | − | 0.359306i | ||||
\(621\) | −22.5228 | + | 14.4138i | −0.903811 | + | 0.578405i | ||||
\(622\) | −7.44637 | + | 14.6143i | −0.298572 | + | 0.585981i | ||||
\(623\) | −2.41450 | − | 15.2446i | −0.0967350 | − | 0.610761i | ||||
\(624\) | 3.56101 | + | 1.67018i | 0.142555 | + | 0.0668607i | ||||
\(625\) | −24.3578 | − | 5.63007i | −0.974312 | − | 0.225203i | ||||
\(626\) | − | 23.3209i | − | 0.932092i | ||||||
\(627\) | 5.62380 | − | 19.4492i | 0.224593 | − | 0.776725i | ||||
\(628\) | −3.89388 | − | 1.98403i | −0.155383 | − | 0.0791714i | ||||
\(629\) | 6.29202 | + | 19.3649i | 0.250879 | + | 0.772127i | ||||
\(630\) | −10.1952 | − | 1.52523i | −0.406185 | − | 0.0607666i | ||||
\(631\) | −10.2915 | + | 31.6740i | −0.409698 | + | 1.26092i | 0.507210 | + | 0.861822i | \(0.330677\pi\) |
−0.916908 | + | 0.399098i | \(0.869323\pi\) | |||||||
\(632\) | −4.51153 | + | 4.51153i | −0.179459 | + | 0.179459i | ||||
\(633\) | −27.1286 | + | 0.886951i | −1.07827 | + | 0.0352531i | ||||
\(634\) | −4.20844 | − | 5.79242i | −0.167138 | − | 0.230046i | ||||
\(635\) | 12.3996 | − | 15.1744i | 0.492065 | − | 0.602178i | ||||
\(636\) | −0.367395 | − | 0.666289i | −0.0145682 | − | 0.0264201i | ||||
\(637\) | −10.4037 | − | 1.64778i | −0.412208 | − | 0.0652874i | ||||
\(638\) | 20.7845 | + | 3.29194i | 0.822867 | + | 0.130329i | ||||
\(639\) | −1.21389 | − | 18.5445i | −0.0480209 | − | 0.733607i | ||||
\(640\) | 2.16242 | − | 0.569168i | 0.0854770 | − | 0.0224983i | ||||
\(641\) | −5.38356 | − | 7.40984i | −0.212638 | − | 0.292671i | 0.689353 | − | 0.724425i | \(-0.257895\pi\) |
−0.901991 | + | 0.431754i | \(0.857895\pi\) | |||||||
\(642\) | 0.106231 | + | 3.24922i | 0.00419260 | + | 0.128236i | ||||
\(643\) | −10.3369 | + | 10.3369i | −0.407649 | + | 0.407649i | −0.880918 | − | 0.473269i | \(-0.843074\pi\) |
0.473269 | + | 0.880918i | \(0.343074\pi\) | |||||||
\(644\) | 2.44376 | − | 7.52111i | 0.0962975 | − | 0.296373i | ||||
\(645\) | 30.0046 | − | 20.7134i | 1.18143 | − | 0.815589i | ||||
\(646\) | −8.04914 | − | 24.7727i | −0.316689 | − | 0.974669i | ||||
\(647\) | 9.67805 | + | 4.93122i | 0.380484 | + | 0.193866i | 0.633763 | − | 0.773527i | \(-0.281509\pi\) |
−0.253280 | + | 0.967393i | \(0.581509\pi\) | |||||||
\(648\) | 8.99688 | + | 0.237114i | 0.353431 | + | 0.00931473i | ||||
\(649\) | 19.9004i | 0.781157i | ||||||||
\(650\) | −11.2811 | − | 1.28680i | −0.442481 | − | 0.0504723i | ||||
\(651\) | −6.79169 | + | 14.4807i | −0.266187 | + | 0.567542i | ||||
\(652\) | 1.19195 | + | 7.52570i | 0.0466805 | + | 0.294729i | ||||
\(653\) | 14.0273 | − | 27.5300i | 0.548929 | − | 1.07733i | −0.435276 | − | 0.900297i | \(-0.643349\pi\) |
0.984204 | − | 0.177036i | \(-0.0566509\pi\) | |||||||
\(654\) | 31.1977 | + | 3.90104i | 1.21992 | + | 0.152543i | ||||
\(655\) | 10.4298 | + | 23.7076i | 0.407525 | + | 0.926333i | ||||
\(656\) | 8.67943 | + | 2.82012i | 0.338875 | + | 0.110107i | ||||
\(657\) | 2.85683 | − | 31.0618i | 0.111455 | − | 1.21184i | ||||
\(658\) | −1.68494 | − | 3.30687i | −0.0656856 | − | 0.128915i | ||||
\(659\) | −32.9364 | + | 23.9297i | −1.28302 | + | 0.932169i | −0.999640 | − | 0.0268379i | \(-0.991456\pi\) |
−0.283381 | + | 0.959007i | \(0.591456\pi\) | |||||||
\(660\) | 5.04951 | − | 9.34624i | 0.196552 | − | 0.363802i | ||||
\(661\) | 0.749210 | + | 0.544333i | 0.0291409 | + | 0.0211721i | 0.602260 | − | 0.798300i | \(-0.294267\pi\) |
−0.573119 | + | 0.819472i | \(0.694267\pi\) | |||||||
\(662\) | −2.56231 | + | 16.1778i | −0.0995869 | + | 0.628767i | ||||
\(663\) | 13.4876 | − | 19.9006i | 0.523815 | − | 0.772874i | ||||
\(664\) | −4.56885 | + | 6.28849i | −0.177306 | + | 0.244041i | ||||
\(665\) | 5.30832 | − | 13.6477i | 0.205848 | − | 0.529235i | ||||
\(666\) | 2.46085 | − | 9.68617i | 0.0953559 | − | 0.375332i | ||||
\(667\) | 35.1786 | − | 17.9244i | 1.36212 | − | 0.694034i | ||||
\(668\) | 11.1057 | + | 11.1057i | 0.429694 | + | 0.429694i | ||||
\(669\) | 29.0371 | − | 31.0000i | 1.12264 | − | 1.19853i | ||||
\(670\) | 12.9646 | + | 2.81577i | 0.500867 | + | 0.108783i | ||||
\(671\) | −26.2730 | + | 8.53660i | −1.01426 | + | 0.329552i | ||||
\(672\) | −2.10107 | + | 1.63402i | −0.0810503 | + | 0.0630337i | ||||
\(673\) | 9.13465 | − | 1.44679i | 0.352115 | − | 0.0557695i | 0.0221284 | − | 0.999755i | \(-0.492956\pi\) |
0.329987 | + | 0.943986i | \(0.392956\pi\) | |||||||
\(674\) | −9.42262 | −0.362946 | ||||||||
\(675\) | −24.8309 | + | 7.64387i | −0.955740 | + | 0.294213i | ||||
\(676\) | 7.84323 | 0.301663 | ||||||||
\(677\) | −23.3458 | + | 3.69762i | −0.897253 | + | 0.142111i | −0.587993 | − | 0.808866i | \(-0.700082\pi\) |
−0.309261 | + | 0.950977i | \(0.600082\pi\) | |||||||
\(678\) | 9.06663 | − | 7.05121i | 0.348202 | − | 0.270800i | ||||
\(679\) | −17.7401 | + | 5.76412i | −0.680804 | + | 0.221207i | ||||
\(680\) | −1.36841 | − | 13.5985i | −0.0524763 | − | 0.521480i | ||||
\(681\) | −25.8369 | + | 27.5835i | −0.990073 | + | 1.05700i | ||||
\(682\) | −11.6547 | − | 11.6547i | −0.446280 | − | 0.446280i | ||||
\(683\) | −20.2551 | + | 10.3205i | −0.775041 | + | 0.394903i | −0.796324 | − | 0.604870i | \(-0.793225\pi\) |
0.0212830 | + | 0.999773i | \(0.493225\pi\) | |||||||
\(684\) | −3.14806 | + | 12.3911i | −0.120369 | + | 0.473787i | ||||
\(685\) | 13.8020 | − | 8.87646i | 0.527346 | − | 0.339152i | ||||
\(686\) | 10.5126 | − | 14.4693i | 0.401372 | − | 0.552442i | ||||
\(687\) | −14.4579 | + | 21.3323i | −0.551605 | + | 0.813877i | ||||
\(688\) | 1.47266 | − | 9.29800i | 0.0561446 | − | 0.354483i | ||||
\(689\) | 0.807040 | + | 0.586349i | 0.0307458 | + | 0.0223381i | ||||
\(690\) | −2.64250 | − | 19.7550i | −0.100598 | − | 0.752059i | ||||
\(691\) | 13.7351 | − | 9.97910i | 0.522506 | − | 0.379623i | −0.295041 | − | 0.955485i | \(-0.595333\pi\) |
0.817547 | + | 0.575862i | \(0.195333\pi\) | |||||||
\(692\) | −8.56782 | − | 16.8153i | −0.325700 | − | 0.639222i | ||||
\(693\) | −1.15811 | + | 12.5919i | −0.0439928 | + | 0.478326i | ||||
\(694\) | 22.7081 | + | 7.37832i | 0.861989 | + | 0.280077i | ||||
\(695\) | 19.3961 | − | 1.95182i | 0.735737 | − | 0.0740368i | ||||
\(696\) | −13.1858 | − | 1.64879i | −0.499807 | − | 0.0624972i | ||||
\(697\) | 25.3237 | − | 49.7005i | 0.959202 | − | 1.88254i | ||||
\(698\) | −3.34140 | − | 21.0968i | −0.126474 | − | 0.798525i | ||||
\(699\) | −7.35541 | + | 15.6826i | −0.278207 | + | 0.593170i | ||||
\(700\) | 4.24168 | − | 6.40668i | 0.160321 | − | 0.242150i | ||||
\(701\) | 6.88173i | 0.259920i | 0.991519 | + | 0.129960i | \(0.0414848\pi\) | ||||
−0.991519 | + | 0.129960i | \(0.958515\pi\) | |||||||
\(702\) | −10.8113 | + | 4.72734i | −0.408048 | + | 0.178422i | ||||
\(703\) | 12.6493 | + | 6.44513i | 0.477077 | + | 0.243083i | ||||
\(704\) | −0.847593 | − | 2.60862i | −0.0319448 | − | 0.0983161i | ||||
\(705\) | −7.43267 | − | 5.67883i | −0.279931 | − | 0.213877i | ||||
\(706\) | 3.67522 | − | 11.3112i | 0.138319 | − | 0.425701i | ||||
\(707\) | −3.84401 | + | 3.84401i | −0.144569 | + | 0.144569i | ||||
\(708\) | −0.410636 | − | 12.5599i | −0.0154326 | − | 0.472028i | ||||
\(709\) | 5.55483 | + | 7.64557i | 0.208616 | + | 0.287135i | 0.900484 | − | 0.434888i | \(-0.143212\pi\) |
−0.691868 | + | 0.722024i | \(0.743212\pi\) | |||||||
\(710\) | 12.9097 | + | 5.02126i | 0.484491 | + | 0.188444i | ||||
\(711\) | −1.25025 | − | 19.0999i | −0.0468882 | − | 0.716303i | ||||
\(712\) | −9.92022 | − | 1.57121i | −0.371776 | − | 0.0588835i | ||||
\(713\) | −30.5430 | − | 4.83754i | −1.14384 | − | 0.181167i | ||||
\(714\) | 7.85550 | + | 14.2463i | 0.293985 | + | 0.533155i | ||||
\(715\) | −0.790497 | + | 13.9052i | −0.0295629 | + | 0.520026i | ||||
\(716\) | −15.2178 | − | 20.9455i | −0.568716 | − | 0.782771i | ||||
\(717\) | 11.6111 | − | 0.379617i | 0.433625 | − | 0.0141770i | ||||
\(718\) | −22.4396 | + | 22.4396i | −0.837438 | + | 0.837438i | ||||
\(719\) | −11.9133 | + | 36.6654i | −0.444292 | + | 1.36739i | 0.438967 | + | 0.898503i | \(0.355344\pi\) |
−0.883259 | + | 0.468886i | \(0.844656\pi\) | |||||||
\(720\) | −2.99408 | + | 6.00296i | −0.111583 | + | 0.223717i | ||||
\(721\) | 7.82670 | + | 24.0881i | 0.291482 | + | 0.897088i | ||||
\(722\) | 0.747392 | + | 0.380815i | 0.0278151 | + | 0.0141725i | ||||
\(723\) | −4.59801 | + | 15.9016i | −0.171002 | + | 0.591387i | ||||
\(724\) | 8.51986i | 0.316638i | ||||||||
\(725\) | 37.5915 | − | 7.64301i | 1.39611 | − | 0.283854i | ||||
\(726\) | 5.45192 | + | 2.55705i | 0.202340 | + | 0.0949009i | ||||
\(727\) | −5.82954 | − | 36.8063i | −0.216206 | − | 1.36507i | −0.822018 | − | 0.569462i | \(-0.807152\pi\) |
0.605812 | − | 0.795608i | \(-0.292848\pi\) | |||||||
\(728\) | 1.58427 | − | 3.10931i | 0.0587170 | − | 0.115239i | ||||
\(729\) | −18.3327 | + | 19.8221i | −0.678987 | + | 0.734150i | ||||
\(730\) | 20.0832 | + | 11.7139i | 0.743314 | + | 0.433552i | ||||
\(731\) | −54.7231 | − | 17.7806i | −2.02401 | − | 0.657640i | ||||
\(732\) | 16.4057 | − | 5.92990i | 0.606372 | − | 0.219175i | ||||
\(733\) | −11.2367 | − | 22.0534i | −0.415039 | − | 0.814559i | −0.999994 | − | 0.00349370i | \(-0.998888\pi\) |
0.584955 | − | 0.811066i | \(-0.301112\pi\) | |||||||
\(734\) | 6.44691 | − | 4.68395i | 0.237960 | − | 0.172888i | ||||
\(735\) | 3.23718 | − | 17.6708i | 0.119405 | − | 0.651796i | ||||
\(736\) | −4.16332 | − | 3.02483i | −0.153462 | − | 0.111497i | ||||
\(737\) | 2.54578 | − | 16.0734i | 0.0937750 | − | 0.592072i | ||||
\(738\) | −23.5302 | + | 13.9963i | −0.866160 | + | 0.515212i | ||||
\(739\) | −2.95524 | + | 4.06754i | −0.108710 | + | 0.149627i | −0.859906 | − | 0.510453i | \(-0.829478\pi\) |
0.751195 | + | 0.660080i | \(0.229478\pi\) | |||||||
\(740\) | 5.76815 | + | 4.71340i | 0.212041 | + | 0.173268i | ||||
\(741\) | −3.16171 | − | 16.4609i | −0.116148 | − | 0.604708i | ||||
\(742\) | −0.601483 | + | 0.306471i | −0.0220811 | + | 0.0112509i | ||||
\(743\) | 3.70154 | + | 3.70154i | 0.135796 | + | 0.135796i | 0.771738 | − | 0.635941i | \(-0.219388\pi\) |
−0.635941 | + | 0.771738i | \(0.719388\pi\) | |||||||
\(744\) | 7.59618 | + | 7.11520i | 0.278489 | + | 0.260856i | ||||
\(745\) | 1.35042 | + | 1.51322i | 0.0494757 | + | 0.0554400i | ||||
\(746\) | −6.36476 | + | 2.06804i | −0.233030 | + | 0.0757162i | ||||
\(747\) | −5.14452 | − | 22.7444i | −0.188228 | − | 0.832175i | ||||
\(748\) | −16.5585 | + | 2.62260i | −0.605437 | + | 0.0958918i | ||||
\(749\) | 2.88433 | 0.105391 | ||||||||
\(750\) | 2.65776 | − | 19.1817i | 0.0970477 | − | 0.700415i | ||||
\(751\) | −21.2996 | −0.777232 | −0.388616 | − | 0.921400i | \(-0.627047\pi\) | ||||
−0.388616 | + | 0.921400i | \(0.627047\pi\) | |||||||
\(752\) | −2.38541 | + | 0.377811i | −0.0869869 | + | 0.0137774i | ||||
\(753\) | 15.0751 | + | 19.3840i | 0.549368 | + | 0.706392i | ||||
\(754\) | 16.5695 | − | 5.38377i | 0.603427 | − | 0.196065i | ||||
\(755\) | 10.5377 | + | 11.8080i | 0.383506 | + | 0.429738i | ||||
\(756\) | 0.471096 | − | 7.97111i | 0.0171336 | − | 0.289906i | ||||
\(757\) | 21.7093 | + | 21.7093i | 0.789039 | + | 0.789039i | 0.981337 | − | 0.192298i | \(-0.0615939\pi\) |
−0.192298 | + | 0.981337i | \(0.561594\pi\) | |||||||
\(758\) | 2.51128 | − | 1.27956i | 0.0912139 | − | 0.0464758i | ||||
\(759\) | −24.0094 | + | 4.61156i | −0.871484 | + | 0.167389i | ||||
\(760\) | −7.37896 | − | 6.02966i | −0.267663 | − | 0.218719i | ||||
\(761\) | −2.06195 | + | 2.83804i | −0.0747458 | + | 0.102879i | −0.844753 | − | 0.535157i | \(-0.820253\pi\) |
0.770007 | + | 0.638035i | \(0.220253\pi\) | |||||||
\(762\) | 12.5652 | + | 8.51607i | 0.455190 | + | 0.308505i | ||||
\(763\) | 4.36372 | − | 27.5514i | 0.157977 | − | 0.997429i | ||||
\(764\) | −7.09182 | − | 5.15251i | −0.256573 | − | 0.186411i | ||||
\(765\) | 33.3765 | + | 23.8148i | 1.20673 | + | 0.861024i | ||||
\(766\) | −4.52998 | + | 3.29122i | −0.163675 | + | 0.118917i | ||||
\(767\) | 7.47983 | + | 14.6800i | 0.270081 | + | 0.530064i | ||||
\(768\) | 0.588775 | + | 1.62891i | 0.0212456 | + | 0.0587782i | ||||
\(769\) | −47.9017 | − | 15.5642i | −1.72738 | − | 0.561259i | −0.734312 | − | 0.678812i | \(-0.762495\pi\) |
−0.993067 | + | 0.117552i | \(0.962495\pi\) | |||||||
\(770\) | −8.14139 | − | 4.74862i | −0.293395 | − | 0.171128i | ||||
\(771\) | 4.18137 | − | 33.4396i | 0.150588 | − | 1.20430i | ||||
\(772\) | 10.7990 | − | 21.1943i | 0.388665 | − | 0.762798i | ||||
\(773\) | 0.721941 | + | 4.55815i | 0.0259664 | + | 0.163945i | 0.997264 | − | 0.0739221i | \(-0.0235516\pi\) |
−0.971298 | + | 0.237867i | \(0.923552\pi\) | |||||||
\(774\) | 18.0570 | + | 21.7149i | 0.649046 | + | 0.780527i | ||||
\(775\) | −27.3387 | − | 12.4632i | −0.982034 | − | 0.447692i | ||||
\(776\) | 12.1383i | 0.435739i | ||||||||
\(777\) | −8.51787 | − | 2.46297i | −0.305577 | − | 0.0883587i | ||||
\(778\) | −5.20286 | − | 2.65099i | −0.186532 | − | 0.0950426i | ||||
\(779\) | −12.0182 | − | 36.9882i | −0.430596 | − | 1.32524i | ||||
\(780\) | 0.211984 | − | 8.79242i | 0.00759023 | − | 0.314819i | ||||
\(781\) | 5.25060 | − | 16.1597i | 0.187881 | − | 0.578238i | ||||
\(782\) | −22.2414 | + | 22.2414i | −0.795350 | + | 0.795350i | ||||
\(783\) | 29.8031 | − | 26.4770i | 1.06508 | − | 0.946210i | ||||
\(784\) | −2.72644 | − | 3.75263i | −0.0973730 | − | 0.134022i | ||||
\(785\) | −0.554636 | + | 9.75631i | −0.0197958 | + | 0.348218i | ||||
\(786\) | −17.5685 | + | 9.68738i | −0.626649 | + | 0.345537i | ||||
\(787\) | 47.7782 | + | 7.56732i | 1.70311 | + | 0.269746i | 0.930807 | − | 0.365510i | \(-0.119105\pi\) |
0.772302 | + | 0.635256i | \(0.219105\pi\) | |||||||
\(788\) | −6.92748 | − | 1.09721i | −0.246781 | − | 0.0390863i | ||||
\(789\) | 18.0744 | − | 9.96632i | 0.643466 | − | 0.354811i | ||||
\(790\) | 13.2964 | + | 5.17166i | 0.473063 | + | 0.183999i | ||||
\(791\) | −5.98980 | − | 8.24426i | −0.212973 | − | 0.293132i | ||||
\(792\) | 7.56009 | + | 3.24883i | 0.268636 | + | 0.115442i | ||||
\(793\) | −16.1723 | + | 16.1723i | −0.574295 | + | 0.574295i | ||||
\(794\) | 1.86361 | − | 5.73562i | 0.0661372 | − | 0.203549i | ||||
\(795\) | −1.03292 | + | 1.35192i | −0.0366337 | + | 0.0479477i | ||||
\(796\) | −5.71269 | − | 17.5819i | −0.202481 | − | 0.623172i | ||||
\(797\) | 18.4066 | + | 9.37861i | 0.651994 | + | 0.332207i | 0.748509 | − | 0.663124i | \(-0.230770\pi\) |
−0.0965158 | + | 0.995331i | \(0.530770\pi\) | |||||||
\(798\) | 10.8966 | + | 3.15079i | 0.385735 | + | 0.111537i | ||||
\(799\) | 14.7617i | 0.522233i | ||||||||
\(800\) | −3.11207 | − | 3.91344i | −0.110028 | − | 0.138361i | ||||
\(801\) | 23.1681 | − | 19.2654i | 0.818604 | − | 0.680709i | ||||
\(802\) | −3.41270 | − | 21.5470i | −0.120507 | − | 0.760850i | ||||
\(803\) | 12.9475 | − | 25.4109i | 0.456907 | − | 0.896731i | ||||
\(804\) | −1.27507 | + | 10.1971i | −0.0449682 | + | 0.359623i | ||||
\(805\) | −17.5943 | + | 1.77051i | −0.620119 | + | 0.0624022i | ||||
\(806\) | −12.9779 | − | 4.21678i | −0.457128 | − | 0.148530i | ||||
\(807\) | 9.11318 | + | 25.2126i | 0.320799 | + | 0.887525i | ||||
\(808\) | 1.60602 | + | 3.15200i | 0.0564997 | + | 0.110887i | ||||
\(809\) | −25.4154 | + | 18.4653i | −0.893557 | + | 0.649207i | −0.936803 | − | 0.349857i | \(-0.886230\pi\) |
0.0432462 | + | 0.999064i | \(0.486230\pi\) | |||||||
\(810\) | −7.61580 | − | 18.6279i | −0.267592 | − | 0.654519i | ||||
\(811\) | 17.6536 | + | 12.8261i | 0.619903 | + | 0.450386i | 0.852887 | − | 0.522095i | \(-0.174849\pi\) |
−0.232985 | + | 0.972480i | \(0.574849\pi\) | |||||||
\(812\) | −1.84434 | + | 11.6447i | −0.0647237 | + | 0.408650i | ||||
\(813\) | 7.35827 | + | 4.98706i | 0.258066 | + | 0.174904i | ||||
\(814\) | 5.37077 | − | 7.39223i | 0.188245 | − | 0.259098i | ||||
\(815\) | 14.3300 | − | 9.21605i | 0.501958 | − | 0.322824i | ||||
\(816\) | 10.3965 | − | 1.99690i | 0.363952 | − | 0.0699054i | ||||
\(817\) | −35.7456 | + | 18.2133i | −1.25058 | + | 0.637202i | ||||
\(818\) | 12.3496 | + | 12.3496i | 0.431793 | + | 0.431793i | ||||
\(819\) | 3.87853 | + | 9.72401i | 0.135527 | + | 0.339784i | ||||
\(820\) | −2.04318 | − | 20.3040i | −0.0713510 | − | 0.709047i | ||||
\(821\) | 3.02763 | − | 0.983735i | 0.105665 | − | 0.0343326i | −0.255707 | − | 0.966754i | \(-0.582308\pi\) |
0.361372 | + | 0.932422i | \(0.382308\pi\) | |||||||
\(822\) | 7.80342 | + | 10.0338i | 0.272176 | + | 0.349970i | ||||
\(823\) | 53.4535 | − | 8.46621i | 1.86327 | − | 0.295113i | 0.879687 | − | 0.475554i | \(-0.157752\pi\) |
0.983586 | + | 0.180440i | \(0.0577522\pi\) | |||||||
\(824\) | 16.4817 | 0.574168 | ||||||||
\(825\) | −23.6763 | − | 1.91943i | −0.824301 | − | 0.0668260i | ||||
\(826\) | −11.1494 | −0.387936 | ||||||||
\(827\) | 7.32504 | − | 1.16017i | 0.254716 | − | 0.0403431i | −0.0277703 | − | 0.999614i | \(-0.508841\pi\) |
0.282487 | + | 0.959271i | \(0.408841\pi\) | |||||||
\(828\) | 15.0580 | − | 3.40595i | 0.523303 | − | 0.118365i | ||||
\(829\) | −14.2896 | + | 4.64297i | −0.496298 | + | 0.161257i | −0.546462 | − | 0.837484i | \(-0.684026\pi\) |
0.0501637 | + | 0.998741i | \(0.484026\pi\) | |||||||
\(830\) | 16.9850 | + | 3.68895i | 0.589557 | + | 0.128045i | ||||
\(831\) | 4.93229 | + | 4.61999i | 0.171099 | + | 0.160266i | ||||
\(832\) | −1.60574 | − | 1.60574i | −0.0556688 | − | 0.0556688i | ||||
\(833\) | −25.2612 | + | 12.8712i | −0.875248 | + | 0.445961i | ||||
\(834\) | 2.84825 | + | 14.8290i | 0.0986269 | + | 0.513486i | ||||
\(835\) | 12.7307 | − | 32.7308i | 0.440565 | − | 1.13270i | ||||
\(836\) | −6.87061 | + | 9.45659i | −0.237625 | + | 0.327063i | ||||
\(837\) | −31.0743 | + | 3.05657i | −1.07408 | + | 0.105650i | ||||
\(838\) | 1.37157 | − | 8.65976i | 0.0473802 | − | 0.299147i | ||||
\(839\) | 25.0182 | + | 18.1768i | 0.863723 | + | 0.627531i | 0.928895 | − | 0.370343i | \(-0.120760\pi\) |
−0.0651724 | + | 0.997874i | \(0.520760\pi\) | |||||||
\(840\) | 5.23632 | + | 2.82904i | 0.180670 | + | 0.0976111i | ||||
\(841\) | −24.1584 | + | 17.5521i | −0.833047 | + | 0.605244i | ||||
\(842\) | 15.5427 | + | 30.5043i | 0.535637 | + | 1.05125i | ||||
\(843\) | −3.82814 | + | 1.38370i | −0.131848 | + | 0.0476570i | ||||
\(844\) | 14.9041 | + | 4.84263i | 0.513020 | + | 0.166690i | ||||
\(845\) | −7.06233 | − | 16.0532i | −0.242952 | − | 0.552246i | ||||
\(846\) | 3.86678 | − | 6.12733i | 0.132943 | − | 0.210662i | ||||
\(847\) | 2.42552 | − | 4.76036i | 0.0833419 | − | 0.163568i | ||||
\(848\) | 0.0687197 | + | 0.433879i | 0.00235984 | + | 0.0148995i | ||||
\(849\) | −5.37014 | − | 2.51869i | −0.184303 | − | 0.0864412i | ||||
\(850\) | −26.6007 | + | 15.0454i | −0.912397 | + | 0.516054i | ||||
\(851\) | − | 17.1433i | − | 0.587666i | ||||||
\(852\) | −2.98040 | + | 10.3073i | −0.102107 | + | 0.353123i | ||||
\(853\) | 32.5101 | + | 16.5647i | 1.11312 | + | 0.567165i | 0.911088 | − | 0.412212i | \(-0.135244\pi\) |
0.202037 | + | 0.979378i | \(0.435244\pi\) | |||||||
\(854\) | −4.78271 | − | 14.7197i | −0.163661 | − | 0.503697i | ||||
\(855\) | 28.1963 | − | 4.71412i | 0.964292 | − | 0.161219i | ||||
\(856\) | 0.580006 | − | 1.78508i | 0.0198242 | − | 0.0610126i | ||||
\(857\) | 25.3854 | − | 25.3854i | 0.867150 | − | 0.867150i | −0.125006 | − | 0.992156i | \(-0.539895\pi\) |
0.992156 | + | 0.125006i | \(0.0398949\pi\) | |||||||
\(858\) | −10.7826 | + | 0.352528i | −0.368111 | + | 0.0120351i | ||||
\(859\) | 21.9978 | + | 30.2774i | 0.750556 | + | 1.03305i | 0.997941 | + | 0.0641342i | \(0.0204286\pi\) |
−0.247386 | + | 0.968917i | \(0.579571\pi\) | |||||||
\(860\) | −20.3568 | + | 5.35809i | −0.694160 | + | 0.182709i | ||||
\(861\) | 11.7291 | + | 21.2712i | 0.399726 | + | 0.724921i | ||||
\(862\) | −2.60010 | − | 0.411816i | −0.0885598 | − | 0.0140265i | ||||
\(863\) | −29.4253 | − | 4.66051i | −1.00165 | − | 0.158646i | −0.365993 | − | 0.930618i | \(-0.619270\pi\) |
−0.635656 | + | 0.771972i | \(0.719270\pi\) | |||||||
\(864\) | −4.83849 | − | 1.89446i | −0.164609 | − | 0.0644508i | ||||
\(865\) | −26.7020 | + | 32.6774i | −0.907897 | + | 1.11106i | ||||
\(866\) | 22.1953 | + | 30.5491i | 0.754225 | + | 1.03810i | ||||
\(867\) | −1.15225 | − | 35.2432i | −0.0391325 | − | 1.19692i | ||||
\(868\) | 6.52963 | − | 6.52963i | 0.221630 | − | 0.221630i | ||||
\(869\) | 5.40787 | − | 16.6437i | 0.183449 | − | 0.564599i | ||||
\(870\) | 8.49832 | + | 28.4728i | 0.288120 | + | 0.965318i | ||||
\(871\) | −4.16347 | − | 12.8138i | −0.141074 | − | 0.434180i | ||||
\(872\) | −16.1738 | − | 8.24095i | −0.547713 | − | 0.279074i | ||||
\(873\) | −27.3761 | − | 24.0123i | −0.926540 | − | 0.812692i | ||||
\(874\) | 21.9308i | 0.741820i | ||||||||
\(875\) | −16.9323 | − | 2.91288i | −0.572416 | − | 0.0984732i | ||||
\(876\) | −7.64730 | + | 16.3049i | −0.258378 | + | 0.550892i | ||||
\(877\) | −0.595727 | − | 3.76127i | −0.0201163 | − | 0.127009i | 0.975587 | − | 0.219615i | \(-0.0704802\pi\) |
−0.995703 | + | 0.0926062i | \(0.970480\pi\) | |||||||
\(878\) | −1.34230 | + | 2.63442i | −0.0453006 | + | 0.0889074i | ||||
\(879\) | −33.9951 | − | 4.25084i | −1.14663 | − | 0.143377i | ||||
\(880\) | −4.57601 | + | 4.08371i | −0.154257 | + | 0.137662i | ||||
\(881\) | 32.9569 | + | 10.7083i | 1.11035 | + | 0.360773i | 0.806075 | − | 0.591813i | \(-0.201588\pi\) |
0.304270 | + | 0.952586i | \(0.401588\pi\) | |||||||
\(882\) | 13.8570 | + | 1.27446i | 0.466590 | + | 0.0429134i | ||||
\(883\) | −14.6498 | − | 28.7519i | −0.493006 | − | 0.967578i | −0.994728 | − | 0.102549i | \(-0.967300\pi\) |
0.501722 | − | 0.865029i | \(-0.332700\pi\) | |||||||
\(884\) | −11.2290 | + | 8.15835i | −0.377673 | + | 0.274395i | ||||
\(885\) | −25.3372 | + | 12.1498i | −0.851702 | + | 0.408412i | ||||
\(886\) | −9.53291 | − | 6.92606i | −0.320264 | − | 0.232686i | ||||
\(887\) | 6.90757 | − | 43.6127i | 0.231934 | − | 1.46437i | −0.546930 | − | 0.837178i | \(-0.684204\pi\) |
0.778864 | − | 0.627193i | \(-0.215796\pi\) | |||||||
\(888\) | −3.23716 | + | 4.77634i | −0.108632 | + | 0.160283i | ||||
\(889\) | 7.91591 | − | 10.8953i | 0.265491 | − | 0.365417i | ||||
\(890\) | 5.71665 | + | 21.7191i | 0.191623 | + | 0.728024i | ||||
\(891\) | −22.2828 | + | 10.6237i | −0.746503 | + | 0.355909i | ||||
\(892\) | −21.8503 | + | 11.1333i | −0.731601 | + | 0.372770i | ||||
\(893\) | 7.27779 | + | 7.27779i | 0.243542 | + | 0.243542i | ||||
\(894\) | −1.07398 | + | 1.14658i | −0.0359193 | + | 0.0383474i | ||||
\(895\) | −29.1677 | + | 50.0073i | −0.974969 | + | 1.67156i | ||||
\(896\) | 1.46150 | − | 0.474872i | 0.0488254 | − | 0.0158643i | ||||
\(897\) | −15.9778 | + | 12.4261i | −0.533483 | + | 0.414895i | ||||
\(898\) | −11.0583 | + | 1.75146i | −0.369019 | + | 0.0584469i | ||||
\(899\) | 46.1026 | 1.53761 | ||||||||
\(900\) | 14.9826 | + | 0.722875i | 0.499419 | + | 0.0240958i | ||||
\(901\) | 2.68500 | 0.0894502 | ||||||||
\(902\) | −24.7235 | + | 3.91581i | −0.823202 | + | 0.130382i | ||||
\(903\) | 19.7792 | − | 15.3825i | 0.658211 | − | 0.511898i | ||||
\(904\) | −6.30676 | + | 2.04919i | −0.209760 | + | 0.0681551i | ||||
\(905\) | 17.4381 | − | 7.67160i | 0.579662 | − | 0.255013i | ||||
\(906\) | −8.38055 | + | 8.94706i | −0.278425 | + | 0.297246i | ||||
\(907\) | −28.9644 | − | 28.9644i | −0.961746 | − | 0.961746i | 0.0375488 | − | 0.999295i | \(-0.488045\pi\) |
−0.999295 | + | 0.0375488i | \(0.988045\pi\) | |||||||
\(908\) | 19.4421 | − | 9.90627i | 0.645210 | − | 0.328751i | ||||
\(909\) | −10.2860 | − | 2.61323i | −0.341164 | − | 0.0866752i | ||||
\(910\) | −7.79053 | − | 0.442883i | −0.258254 | − | 0.0146814i | ||||
\(911\) | −0.920803 | + | 1.26738i | −0.0305076 | + | 0.0419901i | −0.823998 | − | 0.566592i | \(-0.808261\pi\) |
0.793491 | + | 0.608582i | \(0.208261\pi\) | |||||||
\(912\) | 4.14117 | − | 6.11018i | 0.137128 | − | 0.202328i | ||||
\(913\) | 3.33523 | − | 21.0578i | 0.110380 | − | 0.696912i | ||||
\(914\) | 8.32838 | + | 6.05092i | 0.275478 | + | 0.200147i | ||||
\(915\) | −26.9094 | − | 28.2390i | −0.889596 | − | 0.933552i | ||||
\(916\) | 12.0369 | − | 8.74529i | 0.397709 | − | 0.288952i | ||||
\(917\) | 8.08095 | + | 15.8597i | 0.266856 | + | 0.523735i | ||||
\(918\) | −16.0630 | + | 27.3982i | −0.530159 | + | 0.904275i | ||||
\(919\) | 32.7370 | + | 10.6369i | 1.07989 | + | 0.350879i | 0.794333 | − | 0.607482i | \(-0.207820\pi\) |
0.285560 | + | 0.958361i | \(0.407820\pi\) | |||||||
\(920\) | −2.44228 | + | 11.2450i | −0.0805197 | + | 0.370736i | ||||
\(921\) | 0.263029 | + | 0.0328898i | 0.00866709 | + | 0.00108376i | ||||
\(922\) | −9.14806 | + | 17.9541i | −0.301275 | + | 0.591286i | ||||
\(923\) | −2.20061 | − | 13.8941i | −0.0724339 | − | 0.457330i | ||||
\(924\) | 3.10008 | − | 6.60972i | 0.101985 | − | 0.217444i | ||||
\(925\) | 4.45332 | − | 16.0501i | 0.146424 | − | 0.527724i | ||||
\(926\) | − | 0.119086i | − | 0.00391341i | ||||||
\(927\) | −32.6046 | + | 37.1721i | −1.07088 | + | 1.22089i | ||||
\(928\) | 6.83591 | + | 3.48307i | 0.224400 | + | 0.114337i | ||||
\(929\) | 3.37519 | + | 10.3878i | 0.110736 | + | 0.340811i | 0.991034 | − | 0.133611i | \(-0.0426571\pi\) |
−0.880298 | + | 0.474422i | \(0.842657\pi\) | |||||||
\(930\) | 7.72321 | − | 21.9543i | 0.253254 | − | 0.719911i | ||||
\(931\) | −6.10847 | + | 18.7999i | −0.200197 | + | 0.616143i | ||||
\(932\) | 7.07160 | − | 7.07160i | 0.231638 | − | 0.231638i | ||||
\(933\) | 0.928321 | + | 28.3940i | 0.0303919 | + | 0.929578i | ||||
\(934\) | −10.1487 | − | 13.9685i | −0.332075 | − | 0.457062i | ||||
\(935\) | 20.2777 | + | 31.5296i | 0.663151 | + | 1.03113i | ||||
\(936\) | 6.79801 | − | 0.444988i | 0.222200 | − | 0.0145449i | ||||
\(937\) | 24.5644 | + | 3.89063i | 0.802485 | + | 0.127101i | 0.544187 | − | 0.838964i | \(-0.316838\pi\) |
0.258298 | + | 0.966065i | \(0.416838\pi\) | |||||||
\(938\) | 9.00529 | + | 1.42630i | 0.294033 | + | 0.0465703i | ||||
\(939\) | −19.5043 | − | 35.3720i | −0.636499 | − | 1.15432i | ||||
\(940\) | 2.92120 | + | 4.54215i | 0.0952789 | + | 0.148149i | ||||
\(941\) | 15.4350 | + | 21.2444i | 0.503166 | + | 0.692548i | 0.982748 | − | 0.184949i | \(-0.0592119\pi\) |
−0.479583 | + | 0.877497i | \(0.659212\pi\) | |||||||
\(942\) | −7.56536 | + | 0.247344i | −0.246493 | + | 0.00805891i | ||||
\(943\) | −33.2087 | + | 33.2087i | −1.08142 | + | 1.08142i | ||||
\(944\) | −2.24201 | + | 6.90021i | −0.0729714 | + | 0.224583i | ||||
\(945\) | −16.7391 | + | 6.21326i | −0.544523 | + | 0.202117i | ||||
\(946\) | 7.97915 | + | 24.5573i | 0.259425 | + | 0.798427i | ||||
\(947\) | 37.3987 | + | 19.0556i | 1.21529 | + | 0.619223i | 0.939683 | − | 0.342047i | \(-0.111120\pi\) |
0.275610 | + | 0.961270i | \(0.411120\pi\) | |||||||
\(948\) | −3.06967 | + | 10.6161i | −0.0996983 | + | 0.344793i | ||||
\(949\) | − | 23.6115i | − | 0.766461i | ||||||
\(950\) | −5.69696 | + | 20.5323i | −0.184834 | + | 0.666155i | ||||
\(951\) | −11.2276 | − | 5.26594i | −0.364080 | − | 0.170760i | ||||
\(952\) | −1.46934 | − | 9.27703i | −0.0476215 | − | 0.300670i | ||||
\(953\) | 9.66565 | − | 18.9699i | 0.313101 | − | 0.614496i | −0.679805 | − | 0.733393i | \(-0.737936\pi\) |
0.992907 | + | 0.118897i | \(0.0379358\pi\) | |||||||
\(954\) | −1.11449 | − | 0.703325i | −0.0360830 | − | 0.0227710i | ||||
\(955\) | −4.16020 | + | 19.1547i | −0.134621 | + | 0.619833i | ||||
\(956\) | −6.37898 | − | 2.07266i | −0.206311 | − | 0.0670345i | ||||
\(957\) | 34.2781 | − | 12.3899i | 1.10805 | − | 0.400510i | ||||
\(958\) | 9.76750 | + | 19.1698i | 0.315574 | + | 0.619348i | ||||
\(959\) | 9.12374 | − | 6.62879i | 0.294621 | − | 0.214055i | ||||
\(960\) | 2.80383 | − | 2.67181i | 0.0904931 | − | 0.0862323i | ||||
\(961\) | −4.13355 | − | 3.00320i | −0.133340 | − | 0.0968775i | ||||
\(962\) | 1.18341 | − | 7.47174i | 0.0381546 | − | 0.240899i | ||||
\(963\) | 2.87859 | + | 4.83941i | 0.0927613 | + | 0.155948i | ||||
\(964\) | 5.61740 | − | 7.73169i | 0.180924 | − | 0.249021i | ||||
\(965\) | −53.1033 | − | 3.01887i | −1.70946 | − | 0.0971808i | ||||
\(966\) | −2.58367 | − | 13.4515i | −0.0831281 | − | 0.432794i | ||||
\(967\) | −2.98519 | + | 1.52103i | −0.0959973 | + | 0.0489130i | −0.501330 | − | 0.865256i | \(-0.667156\pi\) |
0.405333 | + | 0.914169i | \(0.367156\pi\) | |||||||
\(968\) | −2.45838 | − | 2.45838i | −0.0790154 | − | 0.0790154i | ||||
\(969\) | −32.9270 | − | 30.8421i | −1.05777 | − | 0.990792i | ||||
\(970\) | 24.8441 | − | 10.9297i | 0.797696 | − | 0.350933i | ||||
\(971\) | 20.1061 | − | 6.53286i | 0.645234 | − | 0.209649i | 0.0319227 | − | 0.999490i | \(-0.489837\pi\) |
0.613312 | + | 0.789841i | \(0.289837\pi\) | |||||||
\(972\) | 13.8443 | − | 7.16484i | 0.444057 | − | 0.229812i | ||||
\(973\) | 13.2322 | − | 2.09577i | 0.424204 | − | 0.0671874i | ||||
\(974\) | −2.61984 | −0.0839451 | ||||||||
\(975\) | −18.1868 | + | 7.48314i | −0.582444 | + | 0.239652i | ||||
\(976\) | −10.0716 | −0.322384 | ||||||||
\(977\) | −0.151463 | + | 0.0239894i | −0.00484574 | + | 0.000767489i | −0.158857 | − | 0.987302i | \(-0.550781\pi\) |
0.154011 | + | 0.988069i | \(0.450781\pi\) | |||||||
\(978\) | 8.10196 | + | 10.4177i | 0.259072 | + | 0.333122i | ||||
\(979\) | 26.2007 | − | 8.51312i | 0.837377 | − | 0.272080i | ||||
\(980\) | −5.22572 | + | 8.95937i | −0.166930 | + | 0.286197i | ||||
\(981\) | 50.5816 | − | 20.1751i | 1.61495 | − | 0.644140i | ||||
\(982\) | −5.39477 | − | 5.39477i | −0.172154 | − | 0.172154i | ||||
\(983\) | −27.8680 | + | 14.1994i | −0.888850 | + | 0.452892i | −0.837909 | − | 0.545810i | \(-0.816222\pi\) |
−0.0509408 | + | 0.998702i | \(0.516222\pi\) | |||||||
\(984\) | 15.5231 | − | 2.98157i | 0.494858 | − | 0.0950491i | ||||
\(985\) | 3.99205 | + | 15.1668i | 0.127197 | + | 0.483256i | ||||
\(986\) | 27.5632 | − | 37.9374i | 0.877790 | − | 1.20817i | ||||
\(987\) | −5.32131 | − | 3.60651i | −0.169379 | − | 0.114797i | ||||
\(988\) | −1.51389 | + | 9.55830i | −0.0481632 | + | 0.304090i | ||||
\(989\) | 39.1931 | + | 28.4754i | 1.24627 | + | 0.905466i | ||||
\(990\) | −0.157821 | − | 18.3990i | −0.00501588 | − | 0.584760i | ||||
\(991\) | −7.72378 | + | 5.61165i | −0.245354 | + | 0.178260i | −0.703665 | − | 0.710532i | \(-0.748454\pi\) |
0.458311 | + | 0.888792i | \(0.348454\pi\) | |||||||
\(992\) | −2.72808 | − | 5.35415i | −0.0866165 | − | 0.169995i | ||||
\(993\) | 9.64380 | + | 26.6806i | 0.306037 | + | 0.846683i | ||||
\(994\) | 9.05361 | + | 2.94169i | 0.287163 | + | 0.0933049i | ||||
\(995\) | −30.8419 | + | 27.5238i | −0.977753 | + | 0.872564i | ||||
\(996\) | −1.67047 | + | 13.3592i | −0.0529308 | + | 0.423302i | ||||
\(997\) | −16.0041 | + | 31.4099i | −0.506856 | + | 0.994761i | 0.485832 | + | 0.874052i | \(0.338517\pi\) |
−0.992688 | + | 0.120708i | \(0.961483\pi\) | |||||||
\(998\) | 4.17039 | + | 26.3308i | 0.132011 | + | 0.833487i | ||||
\(999\) | −4.36848 | − | 16.7496i | −0.138213 | − | 0.529934i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 150.2.l.a.137.2 | yes | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.137.8 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.a.293.4 | 80 | |||
5.3 | odd | 4 | 750.2.l.c.293.7 | 80 | |||
5.4 | even | 2 | 750.2.l.b.707.9 | 80 | |||
15.2 | even | 4 | 750.2.l.a.293.6 | 80 | |||
15.8 | even | 4 | 750.2.l.c.293.5 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.707.3 | 80 | |||
25.2 | odd | 20 | 750.2.l.b.593.3 | 80 | |||
25.11 | even | 5 | 750.2.l.c.407.5 | 80 | |||
25.14 | even | 10 | 750.2.l.a.407.6 | 80 | |||
25.23 | odd | 20 | inner | 150.2.l.a.23.8 | yes | 80 | |
75.2 | even | 20 | 750.2.l.b.593.9 | 80 | |||
75.11 | odd | 10 | 750.2.l.c.407.7 | 80 | |||
75.14 | odd | 10 | 750.2.l.a.407.4 | 80 | |||
75.23 | even | 20 | inner | 150.2.l.a.23.2 | ✓ | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.23.2 | ✓ | 80 | 75.23 | even | 20 | inner | |
150.2.l.a.23.8 | yes | 80 | 25.23 | odd | 20 | inner | |
150.2.l.a.137.2 | yes | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.137.8 | yes | 80 | 3.2 | odd | 2 | inner | |
750.2.l.a.293.4 | 80 | 5.2 | odd | 4 | |||
750.2.l.a.293.6 | 80 | 15.2 | even | 4 | |||
750.2.l.a.407.4 | 80 | 75.14 | odd | 10 | |||
750.2.l.a.407.6 | 80 | 25.14 | even | 10 | |||
750.2.l.b.593.3 | 80 | 25.2 | odd | 20 | |||
750.2.l.b.593.9 | 80 | 75.2 | even | 20 | |||
750.2.l.b.707.3 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.707.9 | 80 | 5.4 | even | 2 | |||
750.2.l.c.293.5 | 80 | 15.8 | even | 4 | |||
750.2.l.c.293.7 | 80 | 5.3 | odd | 4 | |||
750.2.l.c.407.5 | 80 | 25.11 | even | 5 | |||
750.2.l.c.407.7 | 80 | 75.11 | odd | 10 |