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 | 23.8 | ||
Character | \(\chi\) | \(=\) | 150.23 |
Dual form | 150.2.l.a.137.8 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 | ||||
\(3\) | 0.0565979 | + | 1.73113i | 0.0326768 | + | 0.999466i | ||||
\(4\) | 0.951057 | + | 0.309017i | 0.475528 | + | 0.154508i | ||||
\(5\) | 1.48885 | − | 1.66833i | 0.665833 | − | 0.746100i | ||||
\(6\) | −0.214907 | + | 1.71867i | −0.0877353 | + | 0.701643i | ||||
\(7\) | −1.08662 | + | 1.08662i | −0.410705 | + | 0.410705i | −0.881984 | − | 0.471279i | \(-0.843792\pi\) |
0.471279 | + | 0.881984i | \(0.343792\pi\) | |||||||
\(8\) | 0.891007 | + | 0.453990i | 0.315018 | + | 0.160510i | ||||
\(9\) | −2.99359 | + | 0.195956i | −0.997864 | + | 0.0653187i | ||||
\(10\) | 1.73150 | − | 1.41488i | 0.547549 | − | 0.447426i | ||||
\(11\) | −1.61222 | − | 2.21903i | −0.486102 | − | 0.669062i | 0.493561 | − | 0.869711i | \(-0.335695\pi\) |
−0.979663 | + | 0.200649i | \(0.935695\pi\) | |||||||
\(12\) | −0.481119 | + | 1.66389i | −0.138887 | + | 0.480323i | ||||
\(13\) | 0.355240 | + | 2.24289i | 0.0985257 | + | 0.622067i | 0.986699 | + | 0.162558i | \(0.0519745\pi\) |
−0.888173 | + | 0.459509i | \(0.848025\pi\) | |||||||
\(14\) | −1.24323 | + | 0.903260i | −0.332267 | + | 0.241406i | ||||
\(15\) | 2.97236 | + | 2.48296i | 0.767459 | + | 0.641098i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | 2.77486 | − | 5.44598i | 0.673003 | − | 1.32084i | −0.261608 | − | 0.965174i | \(-0.584253\pi\) |
0.934612 | − | 0.355669i | \(-0.115747\pi\) | |||||||
\(18\) | −2.98739 | − | 0.274758i | −0.704135 | − | 0.0647610i | ||||
\(19\) | −4.05302 | + | 1.31690i | −0.929826 | + | 0.302119i | −0.734491 | − | 0.678618i | \(-0.762579\pi\) |
−0.195334 | + | 0.980737i | \(0.562579\pi\) | |||||||
\(20\) | 1.93152 | − | 1.12660i | 0.431901 | − | 0.251915i | ||||
\(21\) | −1.94258 | − | 1.81958i | −0.423906 | − | 0.397065i | ||||
\(22\) | −1.24524 | − | 2.44391i | −0.265485 | − | 0.521044i | ||||
\(23\) | −0.805034 | + | 5.08279i | −0.167861 | + | 1.05983i | 0.749566 | + | 0.661930i | \(0.230262\pi\) |
−0.917427 | + | 0.397904i | \(0.869738\pi\) | |||||||
\(24\) | −0.735486 | + | 1.56814i | −0.150130 | + | 0.320095i | ||||
\(25\) | −0.566658 | − | 4.96779i | −0.113332 | − | 0.993557i | ||||
\(26\) | 2.27085i | 0.445351i | ||||||||
\(27\) | −0.508656 | − | 5.17120i | −0.0978909 | − | 0.995197i | ||||
\(28\) | −1.36922 | + | 0.697655i | −0.258759 | + | 0.131844i | ||||
\(29\) | 2.37081 | − | 7.29662i | 0.440249 | − | 1.35495i | −0.447361 | − | 0.894353i | \(-0.647636\pi\) |
0.887611 | − | 0.460595i | \(-0.152364\pi\) | |||||||
\(30\) | 2.54734 | + | 2.91737i | 0.465079 | + | 0.532637i | ||||
\(31\) | −1.85692 | − | 5.71500i | −0.333512 | − | 1.02644i | −0.967450 | − | 0.253061i | \(-0.918563\pi\) |
0.633938 | − | 0.773383i | \(-0.281437\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | 3.75017 | − | 2.91654i | 0.652820 | − | 0.507705i | ||||
\(34\) | 3.59264 | − | 4.94484i | 0.616133 | − | 0.848034i | ||||
\(35\) | 0.195030 | + | 3.43066i | 0.0329660 | + | 0.579888i | ||||
\(36\) | −2.90763 | − | 0.738706i | −0.484605 | − | 0.123118i | ||||
\(37\) | −3.29028 | + | 0.521129i | −0.540919 | + | 0.0856731i | −0.420915 | − | 0.907100i | \(-0.638291\pi\) |
−0.120004 | + | 0.992773i | \(0.538291\pi\) | |||||||
\(38\) | −4.20913 | + | 0.666660i | −0.682810 | + | 0.108147i | ||||
\(39\) | −3.86263 | + | 0.741908i | −0.618515 | + | 0.118800i | ||||
\(40\) | 2.08398 | − | 0.810571i | 0.329506 | − | 0.128162i | ||||
\(41\) | −5.36418 | + | 7.38316i | −0.837744 | + | 1.15306i | 0.148687 | + | 0.988884i | \(0.452495\pi\) |
−0.986432 | + | 0.164172i | \(0.947505\pi\) | |||||||
\(42\) | −1.63402 | − | 2.10107i | −0.252135 | − | 0.324201i | ||||
\(43\) | 6.65663 | + | 6.65663i | 1.01513 | + | 1.01513i | 0.999884 | + | 0.0152431i | \(0.00485222\pi\) |
0.0152431 | + | 0.999884i | \(0.495148\pi\) | |||||||
\(44\) | −0.847593 | − | 2.60862i | −0.127779 | − | 0.393265i | ||||
\(45\) | −4.13009 | + | 5.28605i | −0.615677 | + | 0.787998i | ||||
\(46\) | −1.59025 | + | 4.89427i | −0.234469 | + | 0.721621i | ||||
\(47\) | 2.15191 | − | 1.09645i | 0.313888 | − | 0.159934i | −0.289948 | − | 0.957042i | \(-0.593638\pi\) |
0.603836 | + | 0.797108i | \(0.293638\pi\) | |||||||
\(48\) | −0.971742 | + | 1.43378i | −0.140259 | + | 0.206948i | ||||
\(49\) | 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 | \(-0.140395\pi\) |
−0.876904 | + | 0.480666i | \(0.840395\pi\) | |||||||
\(54\) | 0.306560 | − | 5.18710i | 0.0417175 | − | 0.705875i | ||||
\(55\) | −6.10242 | − | 0.614083i | −0.822850 | − | 0.0828029i | ||||
\(56\) | −1.46150 | + | 0.474872i | −0.195302 | + | 0.0634574i | ||||
\(57\) | −2.50912 | − | 6.94175i | −0.332341 | − | 0.919457i | ||||
\(58\) | 3.48307 | − | 6.83591i | 0.457349 | − | 0.897599i | ||||
\(59\) | 5.86967 | + | 4.26457i | 0.764166 | + | 0.555199i | 0.900185 | − | 0.435507i | \(-0.143431\pi\) |
−0.136019 | + | 0.990706i | \(0.543431\pi\) | |||||||
\(60\) | 2.05960 | + | 3.27994i | 0.265894 | + | 0.423439i | ||||
\(61\) | −8.14808 | + | 5.91993i | −1.04326 | + | 0.757969i | −0.970918 | − | 0.239411i | \(-0.923046\pi\) |
−0.0723370 | + | 0.997380i | \(0.523046\pi\) | |||||||
\(62\) | −0.940031 | − | 5.93512i | −0.119384 | − | 0.753761i | ||||
\(63\) | 3.03998 | − | 3.46584i | 0.383001 | − | 0.436655i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | 4.27079 | + | 2.74667i | 0.529726 | + | 0.340683i | ||||
\(66\) | 4.16024 | − | 2.29398i | 0.512090 | − | 0.282369i | ||||
\(67\) | 5.28646 | + | 2.69358i | 0.645843 | + | 0.329074i | 0.746047 | − | 0.665893i | \(-0.231949\pi\) |
−0.100204 | + | 0.994967i | \(0.531949\pi\) | |||||||
\(68\) | 4.32195 | − | 4.32195i | 0.524114 | − | 0.524114i | ||||
\(69\) | −8.84451 | − | 1.10594i | −1.06475 | − | 0.133140i | ||||
\(70\) | −0.344046 | + | 3.41894i | −0.0411213 | + | 0.408641i | ||||
\(71\) | −5.89152 | − | 1.91427i | −0.699195 | − | 0.227182i | −0.0622154 | − | 0.998063i | \(-0.519817\pi\) |
−0.636980 | + | 0.770880i | \(0.719817\pi\) | |||||||
\(72\) | −2.75627 | − | 1.18446i | −0.324830 | − | 0.139591i | ||||
\(73\) | 10.2696 | + | 1.62655i | 1.20197 | + | 0.190373i | 0.725126 | − | 0.688616i | \(-0.241782\pi\) |
0.476841 | + | 0.878989i | \(0.341782\pi\) | |||||||
\(74\) | −3.33129 | −0.387255 | ||||||||
\(75\) | 8.56779 | − | 1.26212i | 0.989323 | − | 0.145737i | ||||
\(76\) | −4.26159 | −0.488838 | ||||||||
\(77\) | 4.16312 | + | 0.659373i | 0.474431 | + | 0.0751425i | ||||
\(78\) | −3.93113 | + | 0.128525i | −0.445113 | + | 0.0145526i | ||||
\(79\) | 6.06800 | + | 1.97161i | 0.682703 | + | 0.221824i | 0.629778 | − | 0.776775i | \(-0.283146\pi\) |
0.0529246 | + | 0.998599i | \(0.483146\pi\) | |||||||
\(80\) | 2.18512 | − | 0.474585i | 0.244304 | − | 0.0530602i | ||||
\(81\) | 8.92320 | − | 1.17323i | 0.991467 | − | 0.130358i | ||||
\(82\) | −6.45312 | + | 6.45312i | −0.712628 | + | 0.712628i | ||||
\(83\) | −6.92579 | − | 3.52887i | −0.760204 | − | 0.387343i | 0.0305056 | − | 0.999535i | \(-0.490288\pi\) |
−0.790710 | + | 0.612191i | \(0.790288\pi\) | |||||||
\(84\) | −1.28522 | − | 2.33081i | −0.140229 | − | 0.254313i | ||||
\(85\) | −4.95434 | − | 12.7376i | −0.537374 | − | 1.38159i | ||||
\(86\) | 5.53335 | + | 7.61600i | 0.596677 | + | 0.821255i | ||||
\(87\) | 12.7655 | + | 3.69121i | 1.36861 | + | 0.395739i | ||||
\(88\) | −0.429079 | − | 2.70910i | −0.0457400 | − | 0.288791i | ||||
\(89\) | −8.12567 | + | 5.90364i | −0.861319 | + | 0.625785i | −0.928243 | − | 0.371973i | \(-0.878681\pi\) |
0.0669245 | + | 0.997758i | \(0.478681\pi\) | |||||||
\(90\) | −4.90616 | + | 4.57489i | −0.517155 | + | 0.482235i | ||||
\(91\) | −2.82319 | − | 2.05117i | −0.295951 | − | 0.215021i | ||||
\(92\) | −2.33630 | + | 4.58525i | −0.243576 | + | 0.478045i | ||||
\(93\) | 9.78829 | − | 3.53801i | 1.01500 | − | 0.366875i | ||||
\(94\) | 2.29694 | − | 0.746320i | 0.236911 | − | 0.0769770i | ||||
\(95\) | −3.83730 | + | 8.72245i | −0.393698 | + | 0.894904i | ||||
\(96\) | −1.18407 | + | 1.26411i | −0.120849 | + | 0.129018i | ||||
\(97\) | 5.51066 | + | 10.8153i | 0.559523 | + | 1.09813i | 0.981490 | + | 0.191514i | \(0.0613398\pi\) |
−0.421967 | + | 0.906611i | \(0.638660\pi\) | |||||||
\(98\) | −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 | \(-0.0563161\pi\) | |||||||
\(102\) | 8.76348 | + | 5.93944i | 0.867714 | + | 0.588093i | ||||
\(103\) | −14.6853 | + | 7.48254i | −1.44699 | + | 0.737277i | −0.988471 | − | 0.151409i | \(-0.951619\pi\) |
−0.458516 | + | 0.888686i | \(0.651619\pi\) | |||||||
\(104\) | −0.701732 | + | 2.15971i | −0.0688105 | + | 0.211777i | ||||
\(105\) | −5.92787 | + | 0.531789i | −0.578501 | + | 0.0518973i | ||||
\(106\) | 0.135747 | + | 0.417787i | 0.0131849 | + | 0.0405791i | ||||
\(107\) | 1.32720 | + | 1.32720i | 0.128305 | + | 0.128305i | 0.768343 | − | 0.640038i | \(-0.221081\pi\) |
−0.640038 | + | 0.768343i | \(0.721081\pi\) | |||||||
\(108\) | 1.11423 | − | 5.07528i | 0.107217 | − | 0.488369i | ||||
\(109\) | 10.6696 | − | 14.6855i | 1.02196 | − | 1.40661i | 0.111147 | − | 0.993804i | \(-0.464548\pi\) |
0.910818 | − | 0.412809i | \(-0.135452\pi\) | |||||||
\(110\) | −5.93122 | − | 1.56115i | −0.565520 | − | 0.148850i | ||||
\(111\) | −1.08836 | − | 5.66640i | −0.103303 | − | 0.537830i | ||||
\(112\) | −1.51780 | + | 0.240395i | −0.143418 | + | 0.0227152i | ||||
\(113\) | −6.54968 | + | 1.03737i | −0.616142 | + | 0.0975873i | −0.456701 | − | 0.889620i | \(-0.650969\pi\) |
−0.159441 | + | 0.987207i | \(0.550969\pi\) | |||||||
\(114\) | −1.39230 | − | 7.24880i | −0.130401 | − | 0.678912i | ||||
\(115\) | 7.28120 | + | 8.91056i | 0.678975 | + | 0.830914i | ||||
\(116\) | 4.50956 | − | 6.20687i | 0.418702 | − | 0.576294i | ||||
\(117\) | −1.50295 | − | 6.64470i | −0.138948 | − | 0.614303i | ||||
\(118\) | 5.13028 | + | 5.13028i | 0.472281 | + | 0.472281i | ||||
\(119\) | 2.90249 | + | 8.93296i | 0.266071 | + | 0.818883i | ||||
\(120\) | 1.52115 | + | 3.56176i | 0.138861 | + | 0.325142i | ||||
\(121\) | 1.07435 | − | 3.30652i | 0.0976685 | − | 0.300593i | ||||
\(122\) | −8.97385 | + | 4.57240i | −0.812454 | + | 0.413966i | ||||
\(123\) | −13.0848 | − | 8.86820i | −1.17982 | − | 0.799619i | ||||
\(124\) | − | 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 | −0.849142 | − | 0.528165i | \(-0.822880\pi\) |
0.970794 | − | 0.239915i | \(-0.0771197\pi\) | |||||||
\(128\) | 0.453990 | + | 0.891007i | 0.0401275 | + | 0.0787546i | ||||
\(129\) | −11.1467 | + | 11.9002i | −0.981414 | + | 1.04776i | ||||
\(130\) | 3.78853 | + | 3.38096i | 0.332276 | + | 0.296529i | ||||
\(131\) | 11.0161 | − | 3.57935i | 0.962481 | − | 0.312729i | 0.214704 | − | 0.976679i | \(-0.431121\pi\) |
0.747777 | + | 0.663950i | \(0.231121\pi\) | |||||||
\(132\) | 4.46788 | − | 1.61493i | 0.388879 | − | 0.140562i | ||||
\(133\) | 2.97312 | − | 5.83508i | 0.257802 | − | 0.505966i | ||||
\(134\) | 4.80000 | + | 3.48741i | 0.414657 | + | 0.301266i | ||||
\(135\) | −9.38458 | − | 6.85052i | −0.807696 | − | 0.589599i | ||||
\(136\) | 4.94484 | − | 3.59264i | 0.424017 | − | 0.308066i | ||||
\(137\) | 1.14803 | + | 7.24839i | 0.0980830 | + | 0.619272i | 0.986940 | + | 0.161087i | \(0.0515001\pi\) |
−0.888857 | + | 0.458184i | \(0.848500\pi\) | |||||||
\(138\) | −8.56261 | − | 2.47591i | −0.728898 | − | 0.210763i | ||||
\(139\) | −5.12432 | − | 7.05302i | −0.434639 | − | 0.598230i | 0.534371 | − | 0.845250i | \(-0.320549\pi\) |
−0.969010 | + | 0.247020i | \(0.920549\pi\) | |||||||
\(140\) | −0.874649 | + | 3.32302i | −0.0739214 | + | 0.280847i | ||||
\(141\) | 2.01989 | + | 3.66317i | 0.170105 | + | 0.308494i | ||||
\(142\) | −5.51953 | − | 2.81234i | −0.463189 | − | 0.236007i | ||||
\(143\) | 4.40432 | − | 4.40432i | 0.368308 | − | 0.368308i | ||||
\(144\) | −2.53705 | − | 1.60106i | −0.211421 | − | 0.133422i | ||||
\(145\) | −8.64339 | − | 14.8189i | −0.717794 | − | 1.23064i | ||||
\(146\) | 9.88873 | + | 3.21304i | 0.818397 | + | 0.265913i | ||||
\(147\) | −8.02983 | + | 0.262529i | −0.662289 | + | 0.0216531i | ||||
\(148\) | −3.29028 | − | 0.521129i | −0.270459 | − | 0.0428366i | ||||
\(149\) | 0.907025 | 0.0743064 | 0.0371532 | − | 0.999310i | \(-0.488171\pi\) | ||||
0.0371532 | + | 0.999310i | \(0.488171\pi\) | |||||||
\(150\) | 8.65975 | + | 0.0937144i | 0.707065 | + | 0.00765175i | ||||
\(151\) | −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 | ||||
\(153\) | −7.23964 | + | 16.8468i | −0.585290 | + | 1.36198i | ||||
\(154\) | 4.00871 | + | 1.30251i | 0.323031 | + | 0.104959i | ||||
\(155\) | −12.2992 | − | 5.41082i | −0.987894 | − | 0.434608i | ||||
\(156\) | −3.90284 | − | 0.488021i | −0.312477 | − | 0.0390730i | ||||
\(157\) | −3.09020 | + | 3.09020i | −0.246625 | + | 0.246625i | −0.819584 | − | 0.572959i | \(-0.805795\pi\) |
0.572959 | + | 0.819584i | \(0.305795\pi\) | |||||||
\(158\) | 5.68486 | + | 2.89658i | 0.452263 | + | 0.230440i | ||||
\(159\) | −0.666289 | + | 0.367395i | −0.0528401 | + | 0.0291363i | ||||
\(160\) | 2.23246 | − | 0.126913i | 0.176492 | − | 0.0100334i | ||||
\(161\) | −4.64830 | − | 6.39784i | −0.366338 | − | 0.504221i | ||||
\(162\) | 8.99688 | + | 0.237114i | 0.706861 | + | 0.0186295i | ||||
\(163\) | −1.19195 | − | 7.52570i | −0.0933610 | − | 0.589458i | −0.989370 | − | 0.145422i | \(-0.953546\pi\) |
0.896009 | − | 0.444036i | \(-0.146454\pi\) | |||||||
\(164\) | −7.38316 | + | 5.36418i | −0.576528 | + | 0.418872i | ||||
\(165\) | 0.717671 | − | 10.5988i | 0.0558706 | − | 0.825116i | ||||
\(166\) | −6.28849 | − | 4.56885i | −0.488081 | − | 0.354612i | ||||
\(167\) | −7.13033 | + | 13.9941i | −0.551761 | + | 1.08289i | 0.431741 | + | 0.901998i | \(0.357899\pi\) |
−0.983502 | + | 0.180895i | \(0.942101\pi\) | |||||||
\(168\) | −0.904781 | − | 2.50317i | −0.0698053 | − | 0.193124i | ||||
\(169\) | 7.45935 | − | 2.42369i | 0.573797 | − | 0.186438i | ||||
\(170\) | −2.90074 | − | 13.3558i | −0.222477 | − | 1.02435i | ||||
\(171\) | 11.8750 | − | 4.73649i | 0.908106 | − | 0.362209i | ||||
\(172\) | 4.27382 | + | 8.38785i | 0.325876 | + | 0.639567i | ||||
\(173\) | 2.95227 | − | 18.6399i | 0.224457 | − | 1.41717i | −0.575840 | − | 0.817562i | \(-0.695325\pi\) |
0.800297 | − | 0.599603i | \(-0.204675\pi\) | |||||||
\(174\) | 12.0309 | + | 5.64273i | 0.912064 | + | 0.427774i | ||||
\(175\) | 6.01385 | + | 4.78237i | 0.454605 | + | 0.361513i | ||||
\(176\) | − | 2.74287i | − | 0.206751i | ||||||
\(177\) | −7.05029 | + | 10.4025i | −0.529932 | + | 0.781900i | ||||
\(178\) | −8.94916 | + | 4.55982i | −0.670768 | + | 0.341773i | ||||
\(179\) | 8.00048 | − | 24.6229i | 0.597984 | − | 1.84040i | 0.0587089 | − | 0.998275i | \(-0.481302\pi\) |
0.539275 | − | 0.842130i | \(-0.318698\pi\) | |||||||
\(180\) | −5.56143 | + | 3.75107i | −0.414524 | + | 0.279588i | ||||
\(181\) | −2.63278 | − | 8.10287i | −0.195693 | − | 0.602282i | −0.999968 | − | 0.00802385i | \(-0.997446\pi\) |
0.804275 | − | 0.594258i | \(-0.202554\pi\) | |||||||
\(182\) | −2.46756 | − | 2.46756i | −0.182908 | − | 0.182908i | ||||
\(183\) | −10.7093 | − | 13.7703i | −0.791655 | − | 1.01793i | ||||
\(184\) | −3.02483 | + | 4.16332i | −0.222993 | + | 0.306924i | ||||
\(185\) | −4.02931 | + | 6.26516i | −0.296241 | + | 0.460624i | ||||
\(186\) | 10.2212 | − | 1.96323i | 0.749458 | − | 0.143951i | ||||
\(187\) | −16.5585 | + | 2.62260i | −1.21087 | + | 0.191784i | ||||
\(188\) | 2.38541 | − | 0.377811i | 0.173974 | − | 0.0275547i | ||||
\(189\) | 6.17186 | + | 5.06642i | 0.448937 | + | 0.368528i | ||||
\(190\) | −5.15454 | + | 8.01477i | −0.373950 | + | 0.581453i | ||||
\(191\) | 5.15251 | − | 7.09182i | 0.372822 | − | 0.513146i | −0.580843 | − | 0.814016i | \(-0.697277\pi\) |
0.953665 | + | 0.300870i | \(0.0972769\pi\) | |||||||
\(192\) | −1.36724 | + | 1.06332i | −0.0986723 | + | 0.0767384i | ||||
\(193\) | 16.8199 | + | 16.8199i | 1.21072 | + | 1.21072i | 0.970790 | + | 0.239930i | \(0.0771245\pi\) |
0.239930 | + | 0.970790i | \(0.422875\pi\) | |||||||
\(194\) | 3.75093 | + | 11.5442i | 0.269301 | + | 0.828824i | ||||
\(195\) | −4.51312 | + | 7.54873i | −0.323191 | + | 0.540576i | ||||
\(196\) | −1.43338 | + | 4.41148i | −0.102384 | + | 0.315105i | ||||
\(197\) | 6.24937 | − | 3.18421i | 0.445249 | − | 0.226866i | −0.216966 | − | 0.976179i | \(-0.569616\pi\) |
0.662216 | + | 0.749313i | \(0.269616\pi\) | |||||||
\(198\) | 4.20663 | + | 7.07207i | 0.298952 | + | 0.502590i | ||||
\(199\) | 18.4867i | 1.31048i | 0.755419 | + | 0.655242i | \(0.227433\pi\) | ||||
−0.755419 | + | 0.655242i | \(0.772567\pi\) | |||||||
\(200\) | 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 | ||||
\(204\) | 7.72646 | + | 7.23723i | 0.540960 | + | 0.506707i | ||||
\(205\) | 4.33110 | + | 19.9416i | 0.302497 | + | 1.39278i | ||||
\(206\) | −15.6750 | + | 5.09313i | −1.09213 | + | 0.354855i | ||||
\(207\) | 1.41394 | − | 15.3735i | 0.0982757 | − | 1.06854i | ||||
\(208\) | −1.03095 | + | 2.02334i | −0.0714832 | + | 0.140294i | ||||
\(209\) | 9.45659 | + | 6.87061i | 0.654126 | + | 0.475250i | ||||
\(210\) | −5.93808 | − | 0.402082i | −0.409767 | − | 0.0277463i | ||||
\(211\) | 12.6782 | − | 9.21124i | 0.872802 | − | 0.634128i | −0.0585355 | − | 0.998285i | \(-0.518643\pi\) |
0.931337 | + | 0.364158i | \(0.118643\pi\) | |||||||
\(212\) | 0.0687197 | + | 0.433879i | 0.00471969 | + | 0.0297989i | ||||
\(213\) | 2.98040 | − | 10.3073i | 0.204214 | − | 0.706246i | ||||
\(214\) | 1.10324 | + | 1.51848i | 0.0754158 | + | 0.103801i | ||||
\(215\) | 21.0162 | − | 1.19475i | 1.43329 | − | 0.0814811i | ||||
\(216\) | 1.89446 | − | 4.83849i | 0.128902 | − | 0.329218i | ||||
\(217\) | 8.22782 | + | 4.19228i | 0.558541 | + | 0.284591i | ||||
\(218\) | 12.8356 | − | 12.8356i | 0.869335 | − | 0.869335i | ||||
\(219\) | −2.23452 | + | 17.8701i | −0.150995 | + | 1.20755i | ||||
\(220\) | −5.61398 | − | 2.46978i | −0.378495 | − | 0.166512i | ||||
\(221\) | 13.2005 | + | 4.28910i | 0.887961 | + | 0.288516i | ||||
\(222\) | −0.188544 | − | 5.76689i | −0.0126543 | − | 0.387048i | ||||
\(223\) | −24.2212 | − | 3.83626i | −1.62197 | − | 0.256895i | −0.721695 | − | 0.692211i | \(-0.756637\pi\) |
−0.900278 | + | 0.435316i | \(0.856637\pi\) | |||||||
\(224\) | −1.53672 | −0.102676 | ||||||||
\(225\) | 2.66981 | + | 14.7605i | 0.177987 | + | 0.984033i | ||||
\(226\) | −6.63132 | −0.441109 | ||||||||
\(227\) | −21.5518 | − | 3.41347i | −1.43044 | − | 0.226560i | −0.607335 | − | 0.794446i | \(-0.707761\pi\) |
−0.823107 | + | 0.567886i | \(0.807761\pi\) | |||||||
\(228\) | −0.241197 | − | 7.37736i | −0.0159737 | − | 0.488577i | ||||
\(229\) | 14.1502 | + | 4.59767i | 0.935070 | + | 0.303823i | 0.736634 | − | 0.676291i | \(-0.236414\pi\) |
0.198436 | + | 0.980114i | \(0.436414\pi\) | |||||||
\(230\) | 5.79763 | + | 9.93989i | 0.382285 | + | 0.655417i | ||||
\(231\) | −0.905834 | + | 7.24420i | −0.0595995 | + | 0.476633i | ||||
\(232\) | 5.42501 | − | 5.42501i | 0.356169 | − | 0.356169i | ||||
\(233\) | −8.91074 | − | 4.54025i | −0.583762 | − | 0.297442i | 0.137059 | − | 0.990563i | \(-0.456235\pi\) |
−0.720821 | + | 0.693121i | \(0.756235\pi\) | |||||||
\(234\) | −0.444988 | − | 6.79801i | −0.0290897 | − | 0.444400i | ||||
\(235\) | 1.37462 | − | 5.22255i | 0.0896704 | − | 0.340681i | ||||
\(236\) | 4.26457 | + | 5.86967i | 0.277600 | + | 0.382083i | ||||
\(237\) | −3.06967 | + | 10.6161i | −0.199397 | + | 0.689587i | ||||
\(238\) | 1.46934 | + | 9.27703i | 0.0952429 | + | 0.601340i | ||||
\(239\) | 5.42628 | − | 3.94243i | 0.350997 | − | 0.255014i | −0.398290 | − | 0.917260i | \(-0.630396\pi\) |
0.749287 | + | 0.662245i | \(0.230396\pi\) | |||||||
\(240\) | 0.945240 | + | 3.75587i | 0.0610150 | + | 0.242440i | ||||
\(241\) | 7.73169 | + | 5.61740i | 0.498042 | + | 0.361849i | 0.808269 | − | 0.588814i | \(-0.200405\pi\) |
−0.310227 | + | 0.950663i | \(0.600405\pi\) | |||||||
\(242\) | 1.57838 | − | 3.09774i | 0.101462 | − | 0.199131i | ||||
\(243\) | 2.53604 | + | 15.3808i | 0.162687 | + | 0.986678i | ||||
\(244\) | −9.57865 | + | 3.11229i | −0.613210 | + | 0.199244i | ||||
\(245\) | 7.73856 | + | 6.90603i | 0.494398 | + | 0.441210i | ||||
\(246\) | −11.5364 | − | 10.8059i | −0.735534 | − | 0.688961i | ||||
\(247\) | −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 | \(-0.147663\pi\) | |||||||
\(252\) | 3.96219 | − | 2.35680i | 0.249595 | − | 0.148465i | ||||
\(253\) | 12.5767 | − | 6.40816i | 0.790692 | − | 0.402878i | ||||
\(254\) | 2.70814 | − | 8.33479i | 0.169924 | − | 0.522971i | ||||
\(255\) | 21.7700 | − | 9.29751i | 1.36329 | − | 0.582233i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 13.7580 | + | 13.7580i | 0.858198 | + | 0.858198i | 0.991126 | − | 0.132928i | \(-0.0424378\pi\) |
−0.132928 | + | 0.991126i | \(0.542438\pi\) | |||||||
\(258\) | −12.8711 | + | 10.0100i | −0.801319 | + | 0.623194i | ||||
\(259\) | 3.00902 | − | 4.14157i | 0.186972 | − | 0.257344i | ||||
\(260\) | 3.21299 | + | 3.93199i | 0.199261 | + | 0.243852i | ||||
\(261\) | −5.66744 | + | 22.3077i | −0.350806 | + | 1.38081i | ||||
\(262\) | 11.4404 | − | 1.81198i | 0.706791 | − | 0.111945i | ||||
\(263\) | 11.7698 | − | 1.86416i | 0.725759 | − | 0.114949i | 0.217386 | − | 0.976086i | \(-0.430247\pi\) |
0.508373 | + | 0.861137i | \(0.330247\pi\) | |||||||
\(264\) | 4.66550 | − | 0.896119i | 0.287142 | − | 0.0551523i | ||||
\(265\) | 0.949923 | + | 0.250028i | 0.0583533 | + | 0.0153591i | ||||
\(266\) | 3.84933 | − | 5.29814i | 0.236017 | − | 0.324850i | ||||
\(267\) | −10.6798 | − | 13.7324i | −0.653596 | − | 0.840410i | ||||
\(268\) | 4.19536 | + | 4.19536i | 0.256272 | + | 0.256272i | ||||
\(269\) | −4.78303 | − | 14.7206i | −0.291626 | − | 0.897534i | −0.984334 | − | 0.176315i | \(-0.943582\pi\) |
0.692707 | − | 0.721219i | \(-0.256418\pi\) | |||||||
\(270\) | −8.19738 | − | 8.23425i | −0.498877 | − | 0.501121i | ||||
\(271\) | −1.58590 | + | 4.88090i | −0.0963366 | + | 0.296494i | −0.987600 | − | 0.156993i | \(-0.949820\pi\) |
0.891263 | + | 0.453487i | \(0.149820\pi\) | |||||||
\(272\) | 5.44598 | − | 2.77486i | 0.330211 | − | 0.168251i | ||||
\(273\) | 3.39104 | − | 5.00339i | 0.205235 | − | 0.302819i | ||||
\(274\) | 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 | −0.999216 | − | 0.0395814i | \(-0.987398\pi\) |
0.962543 | + | 0.271131i | \(0.0873976\pi\) | |||||||
\(278\) | −3.95790 | − | 7.76781i | −0.237379 | − | 0.465882i | ||||
\(279\) | 6.67874 | + | 16.7445i | 0.399846 | + | 1.00247i | ||||
\(280\) | −1.38372 | + | 3.14529i | −0.0826929 | + | 0.187967i | ||||
\(281\) | −2.23510 | + | 0.726229i | −0.133335 | + | 0.0433232i | −0.374924 | − | 0.927055i | \(-0.622331\pi\) |
0.241589 | + | 0.970379i | \(0.422331\pi\) | |||||||
\(282\) | 1.42198 | + | 3.93405i | 0.0846774 | + | 0.234269i | ||||
\(283\) | 1.55470 | − | 3.05128i | 0.0924175 | − | 0.181380i | −0.840170 | − | 0.542322i | \(-0.817545\pi\) |
0.932588 | + | 0.360943i | \(0.117545\pi\) | |||||||
\(284\) | −5.01163 | − | 3.64116i | −0.297386 | − | 0.216063i | ||||
\(285\) | −15.3168 | − | 6.14917i | −0.907291 | − | 0.364245i | ||||
\(286\) | 5.03908 | − | 3.66111i | 0.297967 | − | 0.216486i | ||||
\(287\) | −2.19387 | − | 13.8516i | −0.129500 | − | 0.817631i | ||||
\(288\) | −2.25535 | − | 1.97823i | −0.132898 | − | 0.116568i | ||||
\(289\) | −11.9665 | − | 16.4704i | −0.703909 | − | 0.968848i | ||||
\(290\) | −6.21879 | − | 15.9885i | −0.365180 | − | 0.938880i | ||||
\(291\) | −18.4107 | + | 10.1518i | −1.07926 | + | 0.595107i | ||||
\(292\) | 9.26435 | + | 4.72042i | 0.542155 | + | 0.276242i | ||||
\(293\) | −13.9865 | + | 13.9865i | −0.817101 | + | 0.817101i | −0.985687 | − | 0.168586i | \(-0.946080\pi\) |
0.168586 | + | 0.985687i | \(0.446080\pi\) | |||||||
\(294\) | −7.97204 | − | 0.996845i | −0.464939 | − | 0.0581372i | ||||
\(295\) | 15.8538 | − | 3.44326i | 0.923042 | − | 0.200474i | ||||
\(296\) | −3.16825 | − | 1.02943i | −0.184151 | − | 0.0598342i | ||||
\(297\) | −10.6550 | + | 9.46581i | −0.618263 | + | 0.549262i | ||||
\(298\) | 0.895858 | + | 0.141890i | 0.0518957 | + | 0.00821947i | ||||
\(299\) | −11.6861 | −0.675827 | ||||||||
\(300\) | 8.53847 | + | 1.44724i | 0.492969 | + | 0.0835566i | ||||
\(301\) | −14.4665 | −0.833835 | ||||||||
\(302\) | −6.99061 | − | 1.10720i | −0.402264 | − | 0.0637124i | ||||
\(303\) | 6.12398 | − | 0.200219i | 0.351814 | − | 0.0115023i | ||||
\(304\) | −4.05302 | − | 1.31690i | −0.232456 | − | 0.0755297i | ||||
\(305\) | −2.25486 | + | 22.4076i | −0.129113 | + | 1.28305i | ||||
\(306\) | −9.78593 | + | 15.5069i | −0.559424 | + | 0.886468i | ||||
\(307\) | −0.108217 | + | 0.108217i | −0.00617628 | + | 0.00617628i | −0.710188 | − | 0.704012i | \(-0.751390\pi\) |
0.704012 | + | 0.710188i | \(0.251390\pi\) | |||||||
\(308\) | 3.75560 | + | 1.91357i | 0.213995 | + | 0.109036i | ||||
\(309\) | −13.7844 | − | 24.9986i | −0.784166 | − | 1.42212i | ||||
\(310\) | −11.3013 | − | 7.26822i | −0.641872 | − | 0.412807i | ||||
\(311\) | −9.64088 | − | 13.2695i | −0.546684 | − | 0.752446i | 0.442874 | − | 0.896584i | \(-0.353959\pi\) |
−0.989558 | + | 0.144138i | \(0.953959\pi\) | |||||||
\(312\) | −3.77844 | − | 1.09255i | −0.213912 | − | 0.0618535i | ||||
\(313\) | −3.64820 | − | 23.0338i | −0.206208 | − | 1.30195i | −0.845911 | − | 0.533325i | \(-0.820942\pi\) |
0.639702 | − | 0.768623i | \(-0.279058\pi\) | |||||||
\(314\) | −3.53557 | + | 2.56874i | −0.199523 | + | 0.144962i | ||||
\(315\) | −1.25610 | − | 10.2318i | −0.0707732 | − | 0.576496i | ||||
\(316\) | 5.16175 | + | 3.75023i | 0.290371 | + | 0.210967i | ||||
\(317\) | −3.25049 | + | 6.37945i | −0.182566 | + | 0.358305i | −0.964093 | − | 0.265566i | \(-0.914441\pi\) |
0.781527 | + | 0.623872i | \(0.214441\pi\) | |||||||
\(318\) | −0.715559 | + | 0.258641i | −0.0401266 | + | 0.0145039i | ||||
\(319\) | −20.0137 | + | 6.50283i | −1.12055 | + | 0.364089i | ||||
\(320\) | 2.22483 | + | 0.223884i | 0.124372 | + | 0.0125155i | ||||
\(321\) | −2.22243 | + | 2.37266i | −0.124044 | + | 0.132429i | ||||
\(322\) | −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 | ||||||
\(327\) | 26.0263 | + | 17.6393i | 1.43926 | + | 0.975455i | ||||
\(328\) | −8.13141 | + | 4.14316i | −0.448982 | + | 0.228768i | ||||
\(329\) | −1.14688 | + | 3.52974i | −0.0632297 | + | 0.194601i | ||||
\(330\) | 2.36685 | − | 10.3561i | 0.130291 | − | 0.570082i | ||||
\(331\) | 5.06152 | + | 15.5778i | 0.278206 | + | 0.856231i | 0.988353 | + | 0.152177i | \(0.0486285\pi\) |
−0.710147 | + | 0.704054i | \(0.751371\pi\) | |||||||
\(332\) | −5.49634 | − | 5.49634i | −0.301651 | − | 0.301651i | ||||
\(333\) | 9.74764 | − | 2.20480i | 0.534168 | − | 0.120822i | ||||
\(334\) | −9.23170 | + | 12.7063i | −0.505136 | + | 0.695260i | ||||
\(335\) | 12.3645 | − | 4.80922i | 0.675546 | − | 0.262756i | ||||
\(336\) | −0.502059 | − | 2.61389i | −0.0273896 | − | 0.142600i | ||||
\(337\) | 9.30661 | − | 1.47402i | 0.506963 | − | 0.0802951i | 0.102287 | − | 0.994755i | \(-0.467384\pi\) |
0.404677 | + | 0.914460i | \(0.367384\pi\) | |||||||
\(338\) | 7.74667 | − | 1.22695i | 0.421363 | − | 0.0667374i | ||||
\(339\) | −2.16651 | − | 11.2796i | −0.117669 | − | 0.612624i | ||||
\(340\) | −0.775714 | − | 13.6452i | −0.0420690 | − | 0.740014i | ||||
\(341\) | −9.68798 | + | 13.3344i | −0.524634 | + | 0.722096i | ||||
\(342\) | 12.4698 | − | 2.82051i | 0.674288 | − | 0.152516i | ||||
\(343\) | −12.6467 | − | 12.6467i | −0.682856 | − | 0.682856i | ||||
\(344\) | 2.90906 | + | 8.95315i | 0.156846 | + | 0.482722i | ||||
\(345\) | −15.0132 | + | 13.1090i | −0.808284 | + | 0.705764i | ||||
\(346\) | 5.83185 | − | 17.9486i | 0.313522 | − | 0.964922i | ||||
\(347\) | 21.2743 | − | 10.8398i | 1.14207 | − | 0.581912i | 0.222533 | − | 0.974925i | \(-0.428567\pi\) |
0.919533 | + | 0.393013i | \(0.128567\pi\) | |||||||
\(348\) | 11.0001 | + | 7.45532i | 0.589668 | + | 0.399647i | ||||
\(349\) | − | 21.3598i | − | 1.14336i | −0.820476 | − | 0.571681i | \(-0.806292\pi\) | ||
0.820476 | − | 0.571681i | \(-0.193708\pi\) | |||||||
\(350\) | 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 | \(-0.0474898\pi\) |
−0.701509 | + | 0.712661i | \(0.747490\pi\) | |||||||
\(354\) | −8.59080 | + | 9.17152i | −0.456596 | + | 0.487461i | ||||
\(355\) | −11.9652 | + | 6.97895i | −0.635048 | + | 0.370404i | ||||
\(356\) | −9.55229 | + | 3.10373i | −0.506271 | + | 0.164497i | ||||
\(357\) | −15.2998 | + | 5.53017i | −0.809751 | + | 0.292687i | ||||
\(358\) | 11.7539 | − | 23.0682i | 0.621211 | − | 1.21919i | ||||
\(359\) | −25.6736 | − | 18.6530i | −1.35500 | − | 0.984467i | −0.998745 | − | 0.0500792i | \(-0.984053\pi\) |
−0.356257 | − | 0.934388i | \(-0.615947\pi\) | |||||||
\(360\) | −6.07975 | + | 2.83489i | −0.320431 | + | 0.149412i | ||||
\(361\) | −0.678618 | + | 0.493045i | −0.0357167 | + | 0.0259497i | ||||
\(362\) | −1.33280 | − | 8.41497i | −0.0700504 | − | 0.442281i | ||||
\(363\) | 5.78481 | + | 1.67270i | 0.303624 | + | 0.0877939i | ||||
\(364\) | −2.05117 | − | 2.82319i | −0.107510 | − | 0.147975i | ||||
\(365\) | 18.0035 | − | 14.7114i | 0.942347 | − | 0.770032i | ||||
\(366\) | −8.42331 | − | 15.2761i | −0.440293 | − | 0.798493i | ||||
\(367\) | −7.10027 | − | 3.61777i | −0.370631 | − | 0.188846i | 0.258747 | − | 0.965945i | \(-0.416690\pi\) |
−0.629378 | + | 0.777099i | \(0.716690\pi\) | |||||||
\(368\) | −3.63887 | + | 3.63887i | −0.189689 | + | 0.189689i | ||||
\(369\) | 14.6114 | − | 23.1533i | 0.760639 | − | 1.20531i | ||||
\(370\) | −4.95979 | + | 5.55770i | −0.257847 | + | 0.288931i | ||||
\(371\) | −0.642021 | − | 0.208605i | −0.0333320 | − | 0.0108302i | ||||
\(372\) | 10.4025 | − | 0.340103i | 0.539345 | − | 0.0176335i | ||||
\(373\) | 6.60991 | + | 1.04691i | 0.342248 | + | 0.0542068i | 0.325193 | − | 0.945648i | \(-0.394571\pi\) |
0.0170555 | + | 0.999855i | \(0.494571\pi\) | |||||||
\(374\) | −16.7649 | −0.866890 | ||||||||
\(375\) | 10.6505 | − | 16.1730i | 0.549990 | − | 0.835171i | ||||
\(376\) | 2.41514 | 0.124551 | ||||||||
\(377\) | 17.2077 | + | 2.72544i | 0.886244 | + | 0.140367i | ||||
\(378\) | 5.30331 | + | 5.96954i | 0.272773 | + | 0.307040i | ||||
\(379\) | −2.68053 | − | 0.870958i | −0.137690 | − | 0.0447381i | 0.239361 | − | 0.970931i | \(-0.423062\pi\) |
−0.377051 | + | 0.926192i | \(0.623062\pi\) | |||||||
\(380\) | −6.34487 | + | 7.10975i | −0.325485 | + | 0.364722i | ||||
\(381\) | 15.0619 | + | 1.88338i | 0.771645 | + | 0.0964886i | ||||
\(382\) | 6.19848 | − | 6.19848i | 0.317142 | − | 0.317142i | ||||
\(383\) | −4.98907 | − | 2.54206i | −0.254930 | − | 0.129893i | 0.321856 | − | 0.946789i | \(-0.395693\pi\) |
−0.576786 | + | 0.816895i | \(0.695693\pi\) | |||||||
\(384\) | −1.51675 | + | 0.836344i | −0.0774013 | + | 0.0426795i | ||||
\(385\) | 7.29830 | − | 5.96375i | 0.371956 | − | 0.303941i | ||||
\(386\) | 13.9816 | + | 19.2440i | 0.711643 | + | 0.979493i | ||||
\(387\) | −21.2317 | − | 18.6228i | −1.07927 | − | 0.946652i | ||||
\(388\) | 1.89884 | + | 11.9888i | 0.0963992 | + | 0.608641i | ||||
\(389\) | −4.72410 | + | 3.43226i | −0.239521 | + | 0.174022i | −0.701070 | − | 0.713092i | \(-0.747294\pi\) |
0.461549 | + | 0.887115i | \(0.347294\pi\) | |||||||
\(390\) | −5.63844 | + | 6.74978i | −0.285513 | + | 0.341789i | ||||
\(391\) | 25.4469 | + | 18.4882i | 1.28690 | + | 0.934991i | ||||
\(392\) | −2.10584 | + | 4.13293i | −0.106361 | + | 0.208745i | ||||
\(393\) | 6.81979 | + | 18.8677i | 0.344013 | + | 0.951748i | ||||
\(394\) | 6.67055 | − | 2.16739i | 0.336058 | − | 0.109192i | ||||
\(395\) | 12.3236 | − | 7.18800i | 0.620069 | − | 0.361667i | ||||
\(396\) | 3.04852 | + | 7.64306i | 0.153194 | + | 0.384078i | ||||
\(397\) | −2.73792 | − | 5.37347i | −0.137412 | − | 0.269687i | 0.812038 | − | 0.583605i | \(-0.198358\pi\) |
−0.949450 | + | 0.313918i | \(0.898358\pi\) | |||||||
\(398\) | −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 | \(0.816640\pi\) | |||||||
\(402\) | −5.76547 | + | 8.50679i | −0.287555 | + | 0.424280i | ||||
\(403\) | 12.1585 | − | 6.19506i | 0.605658 | − | 0.308598i | ||||
\(404\) | 1.09317 | − | 3.36443i | 0.0543872 | − | 0.167387i | ||||
\(405\) | 11.3280 | − | 16.6336i | 0.562891 | − | 0.826531i | ||||
\(406\) | 3.64327 | + | 11.2128i | 0.180812 | + | 0.556484i | ||||
\(407\) | 6.46105 | + | 6.46105i | 0.320262 | + | 0.320262i | ||||
\(408\) | 6.49918 | + | 8.35681i | 0.321757 | + | 0.413724i | ||||
\(409\) | −10.2656 | + | 14.1294i | −0.507603 | + | 0.698656i | −0.983513 | − | 0.180838i | \(-0.942119\pi\) |
0.475910 | + | 0.879494i | \(0.342119\pi\) | |||||||
\(410\) | 1.15822 | + | 20.3737i | 0.0572004 | + | 1.00618i | ||||
\(411\) | −12.4829 | + | 2.39763i | −0.615736 | + | 0.118266i | ||||
\(412\) | −16.2788 | + | 2.57831i | −0.801999 | + | 0.127024i | ||||
\(413\) | −11.0121 | + | 1.74414i | −0.541870 | + | 0.0858237i | ||||
\(414\) | 3.80149 | − | 14.9631i | 0.186833 | − | 0.735395i | ||||
\(415\) | −16.1988 | + | 6.30056i | −0.795166 | + | 0.309282i | ||||
\(416\) | −1.33477 | + | 1.83716i | −0.0654427 | + | 0.0900741i | ||||
\(417\) | 11.9196 | − | 9.27003i | 0.583708 | − | 0.453955i | ||||
\(418\) | 8.26536 | + | 8.26536i | 0.404272 | + | 0.404272i | ||||
\(419\) | 2.70937 | + | 8.33859i | 0.132361 | + | 0.407367i | 0.995170 | − | 0.0981637i | \(-0.0312969\pi\) |
−0.862809 | + | 0.505530i | \(0.831297\pi\) | |||||||
\(420\) | −5.80207 | − | 1.32605i | −0.283112 | − | 0.0647047i | ||||
\(421\) | −10.5794 | + | 32.5601i | −0.515610 | + | 1.58688i | 0.266560 | + | 0.963818i | \(0.414113\pi\) |
−0.782170 | + | 0.623065i | \(0.785887\pi\) | |||||||
\(422\) | 13.9630 | − | 7.11453i | 0.679710 | − | 0.346330i | ||||
\(423\) | −6.22708 | + | 3.70401i | −0.302771 | + | 0.180095i | ||||
\(424\) | 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 | ||||
\(429\) | 7.87370 | + | 7.37515i | 0.380146 | + | 0.356076i | ||||
\(430\) | 20.9443 | + | 2.10762i | 1.01003 | + | 0.101638i | ||||
\(431\) | −2.50367 | + | 0.813491i | −0.120597 | + | 0.0391845i | −0.368694 | − | 0.929551i | \(-0.620195\pi\) |
0.248097 | + | 0.968735i | \(0.420195\pi\) | |||||||
\(432\) | 2.62804 | − | 4.48257i | 0.126442 | − | 0.215668i | ||||
\(433\) | −17.1431 | + | 33.6451i | −0.823843 | + | 1.61688i | −0.0373338 | + | 0.999303i | \(0.511886\pi\) |
−0.786509 | + | 0.617579i | \(0.788114\pi\) | |||||||
\(434\) | 7.47070 | + | 5.42778i | 0.358605 | + | 0.260542i | ||||
\(435\) | 25.1641 | − | 15.8015i | 1.20653 | − | 0.757624i | ||||
\(436\) | 14.6855 | − | 10.6696i | 0.703307 | − | 0.510982i | ||||
\(437\) | −3.43073 | − | 21.6608i | −0.164114 | − | 1.03618i | ||||
\(438\) | −5.00250 | + | 17.3005i | −0.239029 | + | 0.826649i | ||||
\(439\) | 1.73789 | + | 2.39200i | 0.0829451 | + | 0.114164i | 0.848473 | − | 0.529238i | \(-0.177522\pi\) |
−0.765528 | + | 0.643402i | \(0.777522\pi\) | |||||||
\(440\) | −5.15851 | − | 3.31759i | −0.245922 | − | 0.158160i | ||||
\(441\) | −0.908943 | − | 13.8858i | −0.0432830 | − | 0.661228i | ||||
\(442\) | 12.3670 | + | 6.30131i | 0.588239 | + | 0.299723i | ||||
\(443\) | −8.33207 | + | 8.33207i | −0.395869 | + | 0.395869i | −0.876773 | − | 0.480904i | \(-0.840308\pi\) |
0.480904 | + | 0.876773i | \(0.340308\pi\) | |||||||
\(444\) | 0.715917 | − | 5.72539i | 0.0339759 | − | 0.271715i | ||||
\(445\) | −2.24866 | + | 22.3459i | −0.106597 | + | 1.05930i | ||||
\(446\) | −23.3229 | − | 7.57807i | −1.10437 | − | 0.358832i | ||||
\(447\) | 0.0513357 | + | 1.57017i | 0.00242810 | + | 0.0742667i | ||||
\(448\) | −1.51780 | − | 0.240395i | −0.0717092 | − | 0.0113576i | ||||
\(449\) | −11.1961 | −0.528377 | −0.264188 | − | 0.964471i | \(-0.585104\pi\) | ||||
−0.264188 | + | 0.964471i | \(0.585104\pi\) | |||||||
\(450\) | 0.327892 | + | 14.9964i | 0.0154570 | + | 0.706938i | ||||
\(451\) | 25.0317 | 1.17869 | ||||||||
\(452\) | −6.54968 | − | 1.03737i | −0.308071 | − | 0.0487936i | ||||
\(453\) | −0.400586 | − | 12.2525i | −0.0188212 | − | 0.575671i | ||||
\(454\) | −20.7525 | − | 6.74288i | −0.973961 | − | 0.316459i | ||||
\(455\) | −7.62534 | + | 1.65614i | −0.357481 | + | 0.0776410i | ||||
\(456\) | 0.915845 | − | 7.32426i | 0.0428884 | − | 0.342990i | ||||
\(457\) | −7.27927 | + | 7.27927i | −0.340510 | + | 0.340510i | −0.856559 | − | 0.516049i | \(-0.827402\pi\) |
0.516049 | + | 0.856559i | \(0.327402\pi\) | |||||||
\(458\) | 13.2567 | + | 6.75464i | 0.619446 | + | 0.315624i | ||||
\(459\) | −29.5737 | − | 11.5792i | −1.38038 | − | 0.540473i | ||||
\(460\) | 4.17131 | + | 10.7245i | 0.194488 | + | 0.500031i | ||||
\(461\) | −11.8441 | − | 16.3020i | −0.551633 | − | 0.759258i | 0.438600 | − | 0.898683i | \(-0.355475\pi\) |
−0.990233 | + | 0.139425i | \(0.955475\pi\) | |||||||
\(462\) | −2.02792 | + | 7.01331i | −0.0943475 | + | 0.326289i | ||||
\(463\) | −0.0186291 | − | 0.117620i | −0.000865770 | − | 0.00546626i | 0.987252 | − | 0.159167i | \(-0.0508808\pi\) |
−0.988117 | + | 0.153701i | \(0.950881\pi\) | |||||||
\(464\) | 6.20687 | − | 4.50956i | 0.288147 | − | 0.209351i | ||||
\(465\) | 8.67070 | − | 21.5977i | 0.402094 | − | 1.00157i | ||||
\(466\) | −8.09078 | − | 5.87830i | −0.374798 | − | 0.272307i | ||||
\(467\) | −7.83859 | + | 15.3841i | −0.362727 | + | 0.711892i | −0.998184 | − | 0.0602449i | \(-0.980812\pi\) |
0.635457 | + | 0.772136i | \(0.280812\pi\) | |||||||
\(468\) | 0.623934 | − | 6.78393i | 0.0288413 | − | 0.313587i | ||||
\(469\) | −8.67129 | + | 2.81747i | −0.400403 | + | 0.130099i | ||||
\(470\) | 2.17468 | − | 4.94321i | 0.100311 | − | 0.228013i | ||||
\(471\) | −5.52442 | − | 5.17462i | −0.254552 | − | 0.238434i | ||||
\(472\) | 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 | ||||||||
\(477\) | −0.673718 | − | 1.13264i | −0.0308474 | − | 0.0518598i | ||||
\(478\) | 5.97621 | − | 3.04503i | 0.273345 | − | 0.139276i | ||||
\(479\) | 6.64843 | − | 20.4618i | 0.303775 | − | 0.934922i | −0.676357 | − | 0.736574i | \(-0.736442\pi\) |
0.980132 | − | 0.198348i | \(-0.0635576\pi\) | |||||||
\(480\) | 0.346055 | + | 3.85749i | 0.0157952 | + | 0.176070i | ||||
\(481\) | −2.33768 | − | 7.19463i | −0.106589 | − | 0.328047i | ||||
\(482\) | 6.75775 | + | 6.75775i | 0.307807 | + | 0.307807i | ||||
\(483\) | 10.8124 | − | 8.40890i | 0.491980 | − | 0.382618i | ||||
\(484\) | 2.04354 | − | 2.81269i | 0.0928882 | − | 0.127850i | ||||
\(485\) | 26.2480 | + | 6.90871i | 1.19186 | + | 0.313708i | ||||
\(486\) | 0.0987294 | + | 15.5881i | 0.00447846 | + | 0.707093i | ||||
\(487\) | 2.58759 | − | 0.409833i | 0.117255 | − | 0.0185713i | −0.0975313 | − | 0.995232i | \(-0.531095\pi\) |
0.214786 | + | 0.976661i | \(0.431095\pi\) | |||||||
\(488\) | −9.94759 | + | 1.57554i | −0.450306 | + | 0.0713215i | ||||
\(489\) | 12.9605 | − | 2.48936i | 0.586093 | − | 0.112573i | ||||
\(490\) | 6.56294 | + | 8.03158i | 0.296483 | + | 0.362830i | ||||
\(491\) | −4.48442 | + | 6.17227i | −0.202379 | + | 0.278551i | −0.898128 | − | 0.439734i | \(-0.855073\pi\) |
0.695749 | + | 0.718285i | \(0.255073\pi\) | |||||||
\(492\) | −9.70394 | − | 12.4776i | −0.437488 | − | 0.562533i | ||||
\(493\) | −33.1585 | − | 33.1585i | −1.49338 | − | 1.49338i | ||||
\(494\) | −2.99050 | − | 9.20380i | −0.134549 | − | 0.414099i | ||||
\(495\) | 18.3885 | + | 0.642508i | 0.826501 | + | 0.0288786i | ||||
\(496\) | 1.85692 | − | 5.71500i | 0.0833780 | − | 0.256611i | ||||
\(497\) | 8.48196 | − | 4.32177i | 0.380468 | − | 0.193858i | ||||
\(498\) | 7.55334 | − | 11.1447i | 0.338473 | − | 0.499408i | ||||
\(499\) | 26.6590i | 1.19342i | 0.802456 | + | 0.596711i | \(0.203526\pi\) | ||||
−0.802456 | + | 0.596711i | \(0.796474\pi\) | |||||||
\(500\) | −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 | \(-0.0235579\pi\) |
−0.645996 | + | 0.763340i | \(0.723558\pi\) | |||||||
\(504\) | 4.28210 | − | 1.70796i | 0.190740 | − | 0.0760787i | ||||
\(505\) | −5.90184 | − | 5.26691i | −0.262629 | − | 0.234374i | ||||
\(506\) | 13.4243 | − | 4.36183i | 0.596785 | − | 0.193907i | ||||
\(507\) | 4.61790 | + | 12.7759i | 0.205088 | + | 0.567398i | ||||
\(508\) | 3.97865 | − | 7.80853i | 0.176524 | − | 0.346448i | ||||
\(509\) | 33.7904 | + | 24.5502i | 1.49773 | + | 1.08817i | 0.971273 | + | 0.237969i | \(0.0764816\pi\) |
0.526461 | + | 0.850199i | \(0.323518\pi\) | |||||||
\(510\) | 22.9565 | − | 5.77746i | 1.01653 | − | 0.255830i | ||||
\(511\) | −12.9266 | + | 9.39175i | −0.571841 | + | 0.415467i | ||||
\(512\) | 0.156434 | + | 0.987688i | 0.00691349 | + | 0.0436501i | ||||
\(513\) | 8.87156 | + | 20.2891i | 0.391689 | + | 0.895785i | ||||
\(514\) | 11.4364 | + | 15.7408i | 0.504436 | + | 0.694297i | ||||
\(515\) | −9.38086 | + | 35.6403i | −0.413370 | + | 1.57050i | ||||
\(516\) | −14.2785 | + | 7.87326i | −0.628577 | + | 0.346601i | ||||
\(517\) | −5.90240 | − | 3.00742i | −0.259587 | − | 0.132266i | ||||
\(518\) | 3.61986 | − | 3.61986i | 0.159048 | − | 0.159048i | ||||
\(519\) | 32.4351 | + | 4.05577i | 1.42374 | + | 0.178029i | ||||
\(520\) | 2.55834 | + | 4.38620i | 0.112190 | + | 0.192348i | ||||
\(521\) | −16.9663 | − | 5.51270i | −0.743309 | − | 0.241516i | −0.0872091 | − | 0.996190i | \(-0.527795\pi\) |
−0.656099 | + | 0.754674i | \(0.727795\pi\) | |||||||
\(522\) | −9.08735 | + | 21.1465i | −0.397743 | + | 0.925555i | ||||
\(523\) | 5.49799 | + | 0.870797i | 0.240410 | + | 0.0380773i | 0.275477 | − | 0.961308i | \(-0.411164\pi\) |
−0.0350664 | + | 0.999385i | \(0.511164\pi\) | |||||||
\(524\) | 11.5830 | 0.506006 | ||||||||
\(525\) | −7.93851 | + | 10.6814i | −0.346465 | + | 0.466175i | ||||
\(526\) | 11.9165 | 0.519586 | ||||||||
\(527\) | −36.2764 | − | 5.74562i | −1.58023 | − | 0.250283i | ||||
\(528\) | 4.74825 | − | 0.155241i | 0.206641 | − | 0.00675598i | ||||
\(529\) | −3.31234 | − | 1.07624i | −0.144015 | − | 0.0467932i | ||||
\(530\) | 0.899114 | + | 0.395551i | 0.0390550 | + | 0.0171816i | ||||
\(531\) | −18.4071 | − | 11.6162i | −0.798799 | − | 0.504099i | ||||
\(532\) | 4.63075 | − | 4.63075i | 0.200768 | − | 0.200768i | ||||
\(533\) | −18.4652 | − | 9.40850i | −0.799818 | − | 0.407527i | ||||
\(534\) | −8.40013 | − | 15.2340i | −0.363509 | − | 0.659242i | ||||
\(535\) | 4.19020 | − | 0.238208i | 0.181158 | − | 0.0102986i | ||||
\(536\) | 3.48741 | + | 4.80000i | 0.150633 | + | 0.207328i | ||||
\(537\) | 43.0782 | + | 12.4562i | 1.85896 | + | 0.537526i | ||||
\(538\) | −2.42133 | − | 15.2876i | −0.104391 | − | 0.659097i | ||||
\(539\) | 10.2930 | − | 7.47827i | 0.443349 | − | 0.322112i | ||||
\(540\) | −6.80834 | − | 9.41523i | −0.292984 | − | 0.405167i | ||||
\(541\) | −11.9935 | − | 8.71377i | −0.515640 | − | 0.374634i | 0.299319 | − | 0.954153i | \(-0.403241\pi\) |
−0.814959 | + | 0.579519i | \(0.803241\pi\) | |||||||
\(542\) | −2.32992 | + | 4.57272i | −0.100079 | + | 0.196415i | ||||
\(543\) | 13.8781 | − | 5.01628i | 0.595565 | − | 0.215269i | ||||
\(544\) | 5.81301 | − | 1.88876i | 0.249231 | − | 0.0809800i | ||||
\(545\) | −8.61478 | − | 39.6649i | −0.369017 | − | 1.69906i | ||||
\(546\) | 4.13200 | − | 4.41132i | 0.176833 | − | 0.188787i | ||||
\(547\) | −16.7685 | − | 32.9101i | −0.716970 | − | 1.40713i | −0.905191 | − | 0.425006i | \(-0.860272\pi\) |
0.188221 | − | 0.982127i | \(-0.439728\pi\) | |||||||
\(548\) | −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 | ||||||||
\(552\) | −7.37843 | − | 5.00072i | −0.314047 | − | 0.212845i | ||||
\(553\) | −8.73602 | + | 4.45123i | −0.371493 | + | 0.189285i | ||||
\(554\) | −1.20572 | + | 3.71082i | −0.0512261 | + | 0.157658i | ||||
\(555\) | −11.0738 | − | 6.62066i | −0.470058 | − | 0.281031i | ||||
\(556\) | −2.69402 | − | 8.29133i | −0.114252 | − | 0.351631i | ||||
\(557\) | 7.87026 | + | 7.87026i | 0.333474 | + | 0.333474i | 0.853904 | − | 0.520430i | \(-0.174228\pi\) |
−0.520430 | + | 0.853904i | \(0.674228\pi\) | |||||||
\(558\) | 3.97710 | + | 17.5831i | 0.168364 | + | 0.744354i | ||||
\(559\) | −12.5654 | + | 17.2948i | −0.531461 | + | 0.731493i | ||||
\(560\) | −1.85871 | + | 2.89010i | −0.0785449 | + | 0.122129i | ||||
\(561\) | −5.47723 | − | 28.5163i | −0.231249 | − | 1.20396i | ||||
\(562\) | −2.32119 | + | 0.367641i | −0.0979136 | + | 0.0155080i | ||||
\(563\) | 3.65971 | − | 0.579641i | 0.154238 | − | 0.0244289i | −0.0788377 | − | 0.996887i | \(-0.525121\pi\) |
0.233076 | + | 0.972459i | \(0.425121\pi\) | |||||||
\(564\) | 0.789048 | + | 4.10806i | 0.0332249 | + | 0.172980i | ||||
\(565\) | −8.02081 | + | 12.4715i | −0.337438 | + | 0.524681i | ||||
\(566\) | 2.01289 | − | 2.77050i | 0.0846079 | − | 0.116453i | ||||
\(567\) | −8.42130 | + | 10.9710i | −0.353661 | + | 0.460739i | ||||
\(568\) | −4.38033 | − | 4.38033i | −0.183794 | − | 0.183794i | ||||
\(569\) | 1.23085 | + | 3.78815i | 0.0515998 | + | 0.158808i | 0.973536 | − | 0.228534i | \(-0.0733933\pi\) |
−0.921936 | + | 0.387342i | \(0.873393\pi\) | |||||||
\(570\) | −14.1663 | − | 8.46954i | −0.593362 | − | 0.354750i | ||||
\(571\) | 9.70723 | − | 29.8758i | 0.406235 | − | 1.25026i | −0.513625 | − | 0.858015i | \(-0.671698\pi\) |
0.919860 | − | 0.392248i | \(-0.128302\pi\) | |||||||
\(572\) | 5.54976 | − | 2.82775i | 0.232047 | − | 0.118234i | ||||
\(573\) | 12.5685 | + | 8.51826i | 0.525055 | + | 0.355855i | ||||
\(574\) | − | 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 | −0.860088 | − | 0.510145i | \(-0.829592\pi\) |
0.975636 | − | 0.219395i | \(-0.0704084\pi\) | |||||||
\(578\) | −9.24259 | − | 18.1396i | −0.384441 | − | 0.754508i | ||||
\(579\) | −28.1653 | + | 30.0693i | −1.17051 | + | 1.24964i | ||||
\(580\) | −3.64107 | − | 16.7645i | −0.151187 | − | 0.696109i | ||||
\(581\) | 11.3603 | − | 3.69118i | 0.471303 | − | 0.153136i | ||||
\(582\) | −19.7721 | + | 7.14671i | −0.819582 | + | 0.296241i | ||||
\(583\) | 0.547016 | − | 1.07358i | 0.0226551 | − | 0.0444631i | ||||
\(584\) | 8.41185 | + | 6.11157i | 0.348085 | + | 0.252899i | ||||
\(585\) | −13.3232 | − | 7.38554i | −0.550848 | − | 0.305354i | ||||
\(586\) | −16.0023 | + | 11.6263i | −0.661049 | + | 0.480280i | ||||
\(587\) | −0.244573 | − | 1.54417i | −0.0100946 | − | 0.0637349i | 0.982127 | − | 0.188220i | \(-0.0602720\pi\) |
−0.992221 | + | 0.124486i | \(0.960272\pi\) | |||||||
\(588\) | −7.71795 | − | 2.23167i | −0.318283 | − | 0.0920327i | ||||
\(589\) | 15.0522 | + | 20.7176i | 0.620216 | + | 0.853654i | ||||
\(590\) | 16.1972 | − | 0.920794i | 0.666829 | − | 0.0379085i | ||||
\(591\) | 5.86598 | + | 10.6382i | 0.241294 | + | 0.437598i | ||||
\(592\) | −2.96821 | − | 1.51238i | −0.121992 | − | 0.0621583i | ||||
\(593\) | 10.2180 | − | 10.2180i | 0.419603 | − | 0.419603i | −0.465464 | − | 0.885067i | \(-0.654113\pi\) |
0.885067 | + | 0.465464i | \(0.154113\pi\) | |||||||
\(594\) | −12.0046 | + | 7.68247i | −0.492553 | + | 0.315215i | ||||
\(595\) | 19.2245 | + | 8.45750i | 0.788128 | + | 0.346724i | ||||
\(596\) | 0.862632 | + | 0.280286i | 0.0353348 | + | 0.0114810i | ||||
\(597\) | −32.0027 | + | 1.04631i | −1.30978 | + | 0.0428225i | ||||
\(598\) | −11.5423 | − | 1.82811i | −0.471998 | − | 0.0747571i | ||||
\(599\) | −22.7078 | −0.927816 | −0.463908 | − | 0.885883i | \(-0.653553\pi\) | ||||
−0.463908 | + | 0.885883i | \(0.653553\pi\) | |||||||
\(600\) | 8.20695 | + | 2.76514i | 0.335047 | + | 0.112886i | ||||
\(601\) | 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 | ||||
\(603\) | −16.3533 | − | 7.02758i | −0.665959 | − | 0.286185i | ||||
\(604\) | −6.73134 | − | 2.18714i | −0.273894 | − | 0.0889936i | ||||
\(605\) | −3.91682 | − | 6.71528i | −0.159241 | − | 0.273015i | ||||
\(606\) | 6.07991 | + | 0.760248i | 0.246979 | + | 0.0308830i | ||||
\(607\) | 18.2359 | − | 18.2359i | 0.740173 | − | 0.740173i | −0.232438 | − | 0.972611i | \(-0.574670\pi\) |
0.972611 | + | 0.232438i | \(0.0746703\pi\) | |||||||
\(608\) | −3.79711 | − | 1.93472i | −0.153993 | − | 0.0784634i | ||||
\(609\) | −17.8823 | + | 9.86039i | −0.724627 | + | 0.399563i | ||||
\(610\) | −5.73242 | + | 21.7790i | −0.232099 | + | 0.881805i | ||||
\(611\) | 3.22367 | + | 4.43700i | 0.130416 | + | 0.179502i | ||||
\(612\) | −12.0913 | + | 13.7851i | −0.488760 | + | 0.557229i | ||||
\(613\) | −0.0961939 | − | 0.607344i | −0.00388524 | − | 0.0245304i | 0.985670 | − | 0.168688i | \(-0.0539529\pi\) |
−0.989555 | + | 0.144157i | \(0.953953\pi\) | |||||||
\(614\) | −0.123814 | + | 0.0899560i | −0.00499672 | + | 0.00363033i | ||||
\(615\) | −34.2764 | + | 8.62634i | −1.38216 | + | 0.347848i | ||||
\(616\) | 3.41002 | + | 2.47752i | 0.137393 | + | 0.0998222i | ||||
\(617\) | 5.39346 | − | 10.5853i | 0.217133 | − | 0.426147i | −0.756588 | − | 0.653892i | \(-0.773135\pi\) |
0.973721 | + | 0.227745i | \(0.0731353\pi\) | |||||||
\(618\) | −9.70402 | − | 26.8472i | −0.390353 | − | 1.07995i | ||||
\(619\) | 17.4319 | − | 5.66397i | 0.700647 | − | 0.227654i | 0.0630348 | − | 0.998011i | \(-0.479922\pi\) |
0.637613 | + | 0.770357i | \(0.279922\pi\) | |||||||
\(620\) | −10.0252 | − | 8.94665i | −0.402621 | − | 0.359306i | ||||
\(621\) | 26.6936 | + | 1.57760i | 1.07118 | + | 0.0633069i | ||||
\(622\) | −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 | ||||||
\(627\) | −11.3587 | + | 16.7594i | −0.453622 | + | 0.669306i | ||||
\(628\) | −3.89388 | + | 1.98403i | −0.155383 | + | 0.0791714i | ||||
\(629\) | −6.29202 | + | 19.3649i | −0.250879 | + | 0.772127i | ||||
\(630\) | 0.359971 | − | 10.3023i | 0.0143416 | − | 0.410454i | ||||
\(631\) | −10.2915 | − | 31.6740i | −0.409698 | − | 1.26092i | −0.916908 | − | 0.399098i | \(-0.869323\pi\) |
0.507210 | − | 0.861822i | \(-0.330677\pi\) | |||||||
\(632\) | 4.51153 | + | 4.51153i | 0.179459 | + | 0.179459i | ||||
\(633\) | 16.6634 | + | 21.4262i | 0.662309 | + | 0.851614i | ||||
\(634\) | −4.20844 | + | 5.79242i | −0.167138 | + | 0.230046i | ||||
\(635\) | −12.3996 | − | 15.1744i | −0.492065 | − | 0.602178i | ||||
\(636\) | −0.747210 | + | 0.143519i | −0.0296288 | + | 0.00569090i | ||||
\(637\) | −10.4037 | + | 1.64778i | −0.412208 | + | 0.0652874i | ||||
\(638\) | −20.7845 | + | 3.29194i | −0.822867 | + | 0.130329i | ||||
\(639\) | 18.0119 | + | 4.57607i | 0.712541 | + | 0.181027i | ||||
\(640\) | 2.16242 | + | 0.569168i | 0.0854770 | + | 0.0224983i | ||||
\(641\) | 5.38356 | − | 7.40984i | 0.212638 | − | 0.292671i | −0.689353 | − | 0.724425i | \(-0.742105\pi\) |
0.901991 | + | 0.431754i | \(0.142105\pi\) | |||||||
\(642\) | −2.56623 | + | 1.99579i | −0.101281 | + | 0.0787674i | ||||
\(643\) | −10.3369 | − | 10.3369i | −0.407649 | − | 0.407649i | 0.473269 | − | 0.880918i | \(-0.343074\pi\) |
−0.880918 | + | 0.473269i | \(0.843074\pi\) | |||||||
\(644\) | −2.44376 | − | 7.52111i | −0.0962975 | − | 0.296373i | ||||
\(645\) | 3.25773 | + | 36.3140i | 0.128273 | + | 1.42986i | ||||
\(646\) | −8.04914 | + | 24.7727i | −0.316689 | + | 0.974669i | ||||
\(647\) | −9.67805 | + | 4.93122i | −0.380484 | + | 0.193866i | −0.633763 | − | 0.773527i | \(-0.718491\pi\) |
0.253280 | + | 0.967393i | \(0.418491\pi\) | |||||||
\(648\) | 8.48327 | + | 3.00570i | 0.333254 | + | 0.118075i | ||||
\(649\) | − | 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 | −0.984204 | − | 0.177036i | \(-0.943349\pi\) |
0.435276 | − | 0.900297i | \(-0.356651\pi\) | |||||||
\(654\) | 22.9465 | + | 21.4935i | 0.897278 | + | 0.840463i | ||||
\(655\) | 10.4298 | − | 23.7076i | 0.407525 | − | 0.926333i | ||||
\(656\) | −8.67943 | + | 2.82012i | −0.338875 | + | 0.110107i | ||||
\(657\) | −31.0618 | − | 2.85683i | −1.21184 | − | 0.111455i | ||||
\(658\) | −1.68494 | + | 3.30687i | −0.0656856 | + | 0.128915i | ||||
\(659\) | 32.9364 | + | 23.9297i | 1.28302 | + | 0.932169i | 0.999640 | − | 0.0268379i | \(-0.00854379\pi\) |
0.283381 | + | 0.959007i | \(0.408544\pi\) | |||||||
\(660\) | 3.95776 | − | 9.85829i | 0.154056 | − | 0.383734i | ||||
\(661\) | 0.749210 | − | 0.544333i | 0.0291409 | − | 0.0211721i | −0.573119 | − | 0.819472i | \(-0.694267\pi\) |
0.602260 | + | 0.798300i | \(0.294267\pi\) | |||||||
\(662\) | 2.56231 | + | 16.1778i | 0.0995869 | + | 0.628767i | ||||
\(663\) | −6.67785 | + | 23.0945i | −0.259346 | + | 0.896915i | ||||
\(664\) | −4.56885 | − | 6.28849i | −0.177306 | − | 0.244041i | ||||
\(665\) | −5.30832 | − | 13.6477i | −0.205848 | − | 0.529235i | ||||
\(666\) | 9.97254 | − | 0.652788i | 0.386428 | − | 0.0252950i | ||||
\(667\) | 35.1786 | + | 17.9244i | 1.36212 | + | 0.694034i | ||||
\(668\) | −11.1057 | + | 11.1057i | −0.429694 | + | 0.429694i | ||||
\(669\) | 5.27019 | − | 42.1471i | 0.203757 | − | 1.62950i | ||||
\(670\) | 12.9646 | − | 2.81577i | 0.500867 | − | 0.108783i | ||||
\(671\) | 26.2730 | + | 8.53660i | 1.01426 | + | 0.329552i | ||||
\(672\) | −0.0869750 | − | 2.66025i | −0.00335513 | − | 0.102621i | ||||
\(673\) | 9.13465 | + | 1.44679i | 0.352115 | + | 0.0557695i | 0.329987 | − | 0.943986i | \(-0.392956\pi\) |
0.0221284 | + | 0.999755i | \(0.492956\pi\) | |||||||
\(674\) | 9.42262 | 0.362946 | ||||||||
\(675\) | −25.4012 | + | 5.45719i | −0.977691 | + | 0.210047i | ||||
\(676\) | 7.84323 | 0.301663 | ||||||||
\(677\) | 23.3458 | + | 3.69762i | 0.897253 | + | 0.142111i | 0.587993 | − | 0.808866i | \(-0.299918\pi\) |
0.309261 | + | 0.950977i | \(0.399918\pi\) | |||||||
\(678\) | −0.375319 | − | 11.4797i | −0.0144140 | − | 0.440873i | ||||
\(679\) | −17.7401 | − | 5.76412i | −0.680804 | − | 0.221207i | ||||
\(680\) | 1.36841 | − | 13.5985i | 0.0524763 | − | 0.521480i | ||||
\(681\) | 4.68936 | − | 37.5020i | 0.179696 | − | 1.43708i | ||||
\(682\) | −11.6547 | + | 11.6547i | −0.446280 | + | 0.446280i | ||||
\(683\) | 20.2551 | + | 10.3205i | 0.775041 | + | 0.394903i | 0.796324 | − | 0.604870i | \(-0.206775\pi\) |
−0.0212830 | + | 0.999773i | \(0.506775\pi\) | |||||||
\(684\) | 12.7575 | − | 0.835086i | 0.487794 | − | 0.0319303i | ||||
\(685\) | 13.8020 | + | 8.87646i | 0.527346 | + | 0.339152i | ||||
\(686\) | −10.5126 | − | 14.4693i | −0.401372 | − | 0.552442i | ||||
\(687\) | −7.15828 | + | 24.7559i | −0.273105 | + | 0.944498i | ||||
\(688\) | 1.47266 | + | 9.29800i | 0.0561446 | + | 0.354483i | ||||
\(689\) | −0.807040 | + | 0.586349i | −0.0307458 | + | 0.0223381i | ||||
\(690\) | −16.8791 | + | 10.5990i | −0.642575 | + | 0.403497i | ||||
\(691\) | 13.7351 | + | 9.97910i | 0.522506 | + | 0.379623i | 0.817547 | − | 0.575862i | \(-0.195333\pi\) |
−0.295041 | + | 0.955485i | \(0.595333\pi\) | |||||||
\(692\) | 8.56782 | − | 16.8153i | 0.325700 | − | 0.639222i | ||||
\(693\) | −12.5919 | − | 1.15811i | −0.478326 | − | 0.0439928i | ||||
\(694\) | 22.7081 | − | 7.37832i | 0.861989 | − | 0.280077i | ||||
\(695\) | −19.3961 | − | 1.95182i | −0.735737 | − | 0.0740368i | ||||
\(696\) | 9.69841 | + | 9.08432i | 0.367617 | + | 0.344340i | ||||
\(697\) | 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 | \(0.958515\pi\) | |||||||
\(702\) | 11.7430 | − | 1.15508i | 0.443212 | − | 0.0435958i | ||||
\(703\) | 12.6493 | − | 6.44513i | 0.477077 | − | 0.243083i | ||||
\(704\) | 0.847593 | − | 2.60862i | 0.0319448 | − | 0.0983161i | ||||
\(705\) | 9.11868 | + | 2.08406i | 0.343430 | + | 0.0784901i | ||||
\(706\) | 3.67522 | + | 11.3112i | 0.138319 | + | 0.425701i | ||||
\(707\) | 3.84401 | + | 3.84401i | 0.144569 | + | 0.144569i | ||||
\(708\) | −9.91977 | + | 7.71471i | −0.372808 | + | 0.289937i | ||||
\(709\) | 5.55483 | − | 7.64557i | 0.208616 | − | 0.287135i | −0.691868 | − | 0.722024i | \(-0.743212\pi\) |
0.900484 | + | 0.434888i | \(0.143212\pi\) | |||||||
\(710\) | −12.9097 | + | 5.02126i | −0.484491 | + | 0.188444i | ||||
\(711\) | −18.5515 | − | 4.71314i | −0.695734 | − | 0.176757i | ||||
\(712\) | −9.92022 | + | 1.57121i | −0.371776 | + | 0.0588835i | ||||
\(713\) | 30.5430 | − | 4.83754i | 1.14384 | − | 0.181167i | ||||
\(714\) | −15.9765 | + | 3.06867i | −0.597907 | + | 0.114842i | ||||
\(715\) | −0.790497 | − | 13.9052i | −0.0295629 | − | 0.520026i | ||||
\(716\) | 15.2178 | − | 20.9455i | 0.568716 | − | 0.782771i | ||||
\(717\) | 7.13195 | + | 9.17045i | 0.266348 | + | 0.342477i | ||||
\(718\) | −22.4396 | − | 22.4396i | −0.837438 | − | 0.837438i | ||||
\(719\) | 11.9133 | + | 36.6654i | 0.444292 | + | 1.36739i | 0.883259 | + | 0.468886i | \(0.155344\pi\) |
−0.438967 | + | 0.898503i | \(0.644656\pi\) | |||||||
\(720\) | −6.44838 | + | 1.84890i | −0.240317 | + | 0.0689045i | ||||
\(721\) | 7.82670 | − | 24.0881i | 0.291482 | − | 0.897088i | ||||
\(722\) | −0.747392 | + | 0.380815i | −0.0278151 | + | 0.0141725i | ||||
\(723\) | −9.28683 | + | 13.7025i | −0.345381 | + | 0.509600i | ||||
\(724\) | − | 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 | 0.605812 | + | 0.795608i | \(0.292848\pi\) |
−0.822018 | + | 0.569462i | \(0.807152\pi\) | |||||||
\(728\) | −1.58427 | − | 3.10931i | −0.0587170 | − | 0.115239i | ||||
\(729\) | −26.4825 | + | 5.26072i | −0.980835 | + | 0.194841i | ||||
\(730\) | 20.0832 | − | 11.7139i | 0.743314 | − | 0.433552i | ||||
\(731\) | 54.7231 | − | 17.7806i | 2.02401 | − | 0.657640i | ||||
\(732\) | −5.92990 | − | 16.4057i | −0.219175 | − | 0.606372i | ||||
\(733\) | −11.2367 | + | 22.0534i | −0.415039 | + | 0.814559i | 0.584955 | + | 0.811066i | \(0.301112\pi\) |
−0.999994 | + | 0.00349370i | \(0.998888\pi\) | |||||||
\(734\) | −6.44691 | − | 4.68395i | −0.237960 | − | 0.172888i | ||||
\(735\) | −11.5172 | + | 13.7873i | −0.424819 | + | 0.508552i | ||||
\(736\) | −4.16332 | + | 3.02483i | −0.153462 | + | 0.111497i | ||||
\(737\) | −2.54578 | − | 16.0734i | −0.0937750 | − | 0.592072i | ||||
\(738\) | 18.0535 | − | 20.5825i | 0.664558 | − | 0.757654i | ||||
\(739\) | −2.95524 | − | 4.06754i | −0.108710 | − | 0.149627i | 0.751195 | − | 0.660080i | \(-0.229478\pi\) |
−0.859906 | + | 0.510453i | \(0.829478\pi\) | |||||||
\(740\) | −5.76815 | + | 4.71340i | −0.212041 | + | 0.173268i | ||||
\(741\) | 14.6783 | − | 8.09368i | 0.539220 | − | 0.297329i | ||||
\(742\) | −0.601483 | − | 0.306471i | −0.0220811 | − | 0.0112509i | ||||
\(743\) | −3.70154 | + | 3.70154i | −0.135796 | + | 0.135796i | −0.771738 | − | 0.635941i | \(-0.780612\pi\) |
0.635941 | + | 0.771738i | \(0.280612\pi\) | |||||||
\(744\) | 10.3276 | + | 1.29140i | 0.378630 | + | 0.0473449i | ||||
\(745\) | 1.35042 | − | 1.51322i | 0.0494757 | − | 0.0554400i | ||||
\(746\) | 6.36476 | + | 2.06804i | 0.233030 | + | 0.0757162i | ||||
\(747\) | 21.4245 | + | 9.20684i | 0.783882 | + | 0.336861i | ||||
\(748\) | −16.5585 | − | 2.62260i | −0.605437 | − | 0.0958918i | ||||
\(749\) | −2.88433 | −0.105391 | ||||||||
\(750\) | 13.0494 | − | 14.3078i | 0.476497 | − | 0.522447i | ||||
\(751\) | −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 | ||||
\(753\) | 24.5429 | − | 0.802413i | 0.894394 | − | 0.0292416i | ||||
\(754\) | 16.5695 | + | 5.38377i | 0.603427 | + | 0.196065i | ||||
\(755\) | −10.5377 | + | 11.8080i | −0.383506 | + | 0.429738i | ||||
\(756\) | 4.30417 | + | 6.72566i | 0.156541 | + | 0.244610i | ||||
\(757\) | 21.7093 | − | 21.7093i | 0.789039 | − | 0.789039i | −0.192298 | − | 0.981337i | \(-0.561594\pi\) |
0.981337 | + | 0.192298i | \(0.0615939\pi\) | |||||||
\(758\) | −2.51128 | − | 1.27956i | −0.0912139 | − | 0.0464758i | ||||
\(759\) | 11.8052 | + | 21.4092i | 0.428500 | + | 0.777105i | ||||
\(760\) | −7.37896 | + | 6.02966i | −0.267663 | + | 0.218719i | ||||
\(761\) | 2.06195 | + | 2.83804i | 0.0747458 | + | 0.102879i | 0.844753 | − | 0.535157i | \(-0.179747\pi\) |
−0.770007 | + | 0.638035i | \(0.779747\pi\) | |||||||
\(762\) | 14.5819 | + | 4.21640i | 0.528245 | + | 0.152744i | ||||
\(763\) | 4.36372 | + | 27.5514i | 0.157977 | + | 0.997429i | ||||
\(764\) | 7.09182 | − | 5.15251i | 0.256573 | − | 0.186411i | ||||
\(765\) | 17.3273 | + | 37.1605i | 0.626470 | + | 1.34354i | ||||
\(766\) | −4.52998 | − | 3.29122i | −0.163675 | − | 0.118917i | ||||
\(767\) | −7.47983 | + | 14.6800i | −0.270081 | + | 0.530064i | ||||
\(768\) | −1.62891 | + | 0.588775i | −0.0587782 | + | 0.0212456i | ||||
\(769\) | −47.9017 | + | 15.5642i | −1.72738 | + | 0.561259i | −0.993067 | − | 0.117552i | \(-0.962495\pi\) |
−0.734312 | + | 0.678812i | \(0.762495\pi\) | |||||||
\(770\) | 8.14139 | − | 4.74862i | 0.293395 | − | 0.171128i | ||||
\(771\) | −23.0381 | + | 24.5954i | −0.829697 | + | 0.885783i | ||||
\(772\) | 10.7990 | + | 21.1943i | 0.388665 | + | 0.762798i | ||||
\(773\) | −0.721941 | + | 4.55815i | −0.0259664 | + | 0.163945i | −0.997264 | − | 0.0739221i | \(-0.976448\pi\) |
0.971298 | + | 0.237867i | \(0.0764484\pi\) | |||||||
\(774\) | −18.0570 | − | 21.7149i | −0.649046 | − | 0.780527i | ||||
\(775\) | −27.3387 | + | 12.4632i | −0.982034 | + | 0.447692i | ||||
\(776\) | 12.1383i | 0.435739i | ||||||||
\(777\) | 7.33988 | + | 4.97459i | 0.263317 | + | 0.178463i | ||||
\(778\) | −5.20286 | + | 2.65099i | −0.186532 | + | 0.0950426i | ||||
\(779\) | 12.0182 | − | 36.9882i | 0.430596 | − | 1.32524i | ||||
\(780\) | −6.62492 | + | 5.78464i | −0.237210 | + | 0.207123i | ||||
\(781\) | 5.25060 | + | 16.1597i | 0.187881 | + | 0.578238i | ||||
\(782\) | 22.2414 | + | 22.2414i | 0.795350 | + | 0.795350i | ||||
\(783\) | −38.9382 | − | 8.54848i | −1.39154 | − | 0.305498i | ||||
\(784\) | −2.72644 | + | 3.75263i | −0.0973730 | + | 0.134022i | ||||
\(785\) | 0.554636 | + | 9.75631i | 0.0197958 | + | 0.348218i | ||||
\(786\) | 3.78427 | + | 19.7022i | 0.134981 | + | 0.702755i | ||||
\(787\) | 47.7782 | − | 7.56732i | 1.70311 | − | 0.269746i | 0.772302 | − | 0.635256i | \(-0.219105\pi\) |
0.930807 | + | 0.365510i | \(0.119105\pi\) | |||||||
\(788\) | 6.92748 | − | 1.09721i | 0.246781 | − | 0.0390863i | ||||
\(789\) | 3.89324 | + | 20.2695i | 0.138603 | + | 0.721615i | ||||
\(790\) | 13.2964 | − | 5.17166i | 0.473063 | − | 0.183999i | ||||
\(791\) | 5.98980 | − | 8.24426i | 0.212973 | − | 0.293132i | ||||
\(792\) | 1.81535 | + | 8.02586i | 0.0645057 | + | 0.285186i | ||||
\(793\) | −16.1723 | − | 16.1723i | −0.574295 | − | 0.574295i | ||||
\(794\) | −1.86361 | − | 5.73562i | −0.0661372 | − | 0.203549i | ||||
\(795\) | −0.379067 | + | 1.65859i | −0.0134441 | + | 0.0588240i | ||||
\(796\) | −5.71269 | + | 17.5819i | −0.202481 | + | 0.623172i | ||||
\(797\) | −18.4066 | + | 9.37861i | −0.651994 | + | 0.332207i | −0.748509 | − | 0.663124i | \(-0.769230\pi\) |
0.0965158 | + | 0.995331i | \(0.469230\pi\) | |||||||
\(798\) | 9.38961 | + | 6.36380i | 0.332389 | + | 0.225276i | ||||
\(799\) | − | 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 | ||||
\(804\) | −7.02524 | + | 7.50014i | −0.247761 | + | 0.264509i | ||||
\(805\) | −17.5943 | − | 1.77051i | −0.620119 | − | 0.0624022i | ||||
\(806\) | 12.9779 | − | 4.21678i | 0.457128 | − | 0.148530i | ||||
\(807\) | 25.2126 | − | 9.11318i | 0.887525 | − | 0.320799i | ||||
\(808\) | 1.60602 | − | 3.15200i | 0.0564997 | − | 0.110887i | ||||
\(809\) | 25.4154 | + | 18.4653i | 0.893557 | + | 0.649207i | 0.936803 | − | 0.349857i | \(-0.113770\pi\) |
−0.0432462 | + | 0.999064i | \(0.513770\pi\) | |||||||
\(810\) | 13.7906 | − | 14.6567i | 0.484551 | − | 0.514985i | ||||
\(811\) | 17.6536 | − | 12.8261i | 0.619903 | − | 0.450386i | −0.232985 | − | 0.972480i | \(-0.574849\pi\) |
0.852887 | + | 0.522095i | \(0.174849\pi\) | |||||||
\(812\) | 1.84434 | + | 11.6447i | 0.0647237 | + | 0.408650i | ||||
\(813\) | −8.53922 | − | 2.46915i | −0.299483 | − | 0.0865967i | ||||
\(814\) | 5.37077 | + | 7.39223i | 0.188245 | + | 0.259098i | ||||
\(815\) | −14.3300 | − | 9.21605i | −0.501958 | − | 0.322824i | ||||
\(816\) | 5.11187 | + | 9.27062i | 0.178951 | + | 0.324537i | ||||
\(817\) | −35.7456 | − | 18.2133i | −1.25058 | − | 0.637202i | ||||
\(818\) | −12.3496 | + | 12.3496i | −0.431793 | + | 0.431793i | ||||
\(819\) | 8.85343 | + | 5.58714i | 0.309364 | + | 0.195231i | ||||
\(820\) | −2.04318 | + | 20.3040i | −0.0713510 | + | 0.709047i | ||||
\(821\) | −3.02763 | − | 0.983735i | −0.105665 | − | 0.0343326i | 0.255707 | − | 0.966754i | \(-0.417692\pi\) |
−0.361372 | + | 0.932422i | \(0.617692\pi\) | |||||||
\(822\) | −12.7043 | + | 0.415357i | −0.443113 | + | 0.0144873i | ||||
\(823\) | 53.4535 | + | 8.46621i | 1.86327 | + | 0.295113i | 0.983586 | − | 0.180440i | \(-0.0577522\pi\) |
0.879687 | + | 0.475554i | \(0.157752\pi\) | |||||||
\(824\) | −16.4817 | −0.574168 | ||||||||
\(825\) | −16.6138 | − | 16.9773i | −0.578419 | − | 0.591075i | ||||
\(826\) | −11.1494 | −0.387936 | ||||||||
\(827\) | −7.32504 | − | 1.16017i | −0.254716 | − | 0.0403431i | 0.0277703 | − | 0.999614i | \(-0.491159\pi\) |
−0.282487 | + | 0.959271i | \(0.591159\pi\) | |||||||
\(828\) | 6.09543 | − | 14.1842i | 0.211831 | − | 0.492934i | ||||
\(829\) | −14.2896 | − | 4.64297i | −0.496298 | − | 0.161257i | 0.0501637 | − | 0.998741i | \(-0.484026\pi\) |
−0.546462 | + | 0.837484i | \(0.684026\pi\) | |||||||
\(830\) | −16.9850 | + | 3.68895i | −0.589557 | + | 0.128045i | ||||
\(831\) | −6.70587 | − | 0.838520i | −0.232624 | − | 0.0290879i | ||||
\(832\) | −1.60574 | + | 1.60574i | −0.0556688 | + | 0.0556688i | ||||
\(833\) | 25.2612 | + | 12.8712i | 0.875248 | + | 0.445961i | ||||
\(834\) | 13.2230 | − | 7.29126i | 0.457877 | − | 0.252476i | ||||
\(835\) | 12.7307 | + | 32.7308i | 0.440565 | + | 1.13270i | ||||
\(836\) | 6.87061 | + | 9.45659i | 0.237625 | + | 0.327063i | ||||
\(837\) | −28.6088 | + | 12.5094i | −0.988867 | + | 0.432390i | ||||
\(838\) | 1.37157 | + | 8.65976i | 0.0473802 | + | 0.299147i | ||||
\(839\) | −25.0182 | + | 18.1768i | −0.863723 | + | 0.627531i | −0.928895 | − | 0.370343i | \(-0.879240\pi\) |
0.0651724 | + | 0.997874i | \(0.479240\pi\) | |||||||
\(840\) | −5.52320 | − | 2.21737i | −0.190569 | − | 0.0765066i | ||||
\(841\) | −24.1584 | − | 17.5521i | −0.833047 | − | 0.605244i | ||||
\(842\) | −15.5427 | + | 30.5043i | −0.535637 | + | 1.05125i | ||||
\(843\) | −1.38370 | − | 3.82814i | −0.0476570 | − | 0.131848i | ||||
\(844\) | 14.9041 | − | 4.84263i | 0.513020 | − | 0.166690i | ||||
\(845\) | 7.06233 | − | 16.0532i | 0.242952 | − | 0.552246i | ||||
\(846\) | −6.72985 | + | 2.68428i | −0.231377 | + | 0.0922874i | ||||
\(847\) | 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 | ||||||
\(852\) | 6.01966 | − | 8.88184i | 0.206230 | − | 0.304287i | ||||
\(853\) | 32.5101 | − | 16.5647i | 1.11312 | − | 0.567165i | 0.202037 | − | 0.979378i | \(-0.435244\pi\) |
0.911088 | + | 0.412212i | \(0.135244\pi\) | |||||||
\(854\) | 4.78271 | − | 14.7197i | 0.163661 | − | 0.503697i | ||||
\(855\) | 9.77809 | − | 26.8634i | 0.334403 | − | 0.918709i | ||||
\(856\) | 0.580006 | + | 1.78508i | 0.0198242 | + | 0.0610126i | ||||
\(857\) | −25.3854 | − | 25.3854i | −0.867150 | − | 0.867150i | 0.125006 | − | 0.992156i | \(-0.460105\pi\) |
−0.992156 | + | 0.125006i | \(0.960105\pi\) | |||||||
\(858\) | 6.62304 | + | 8.51607i | 0.226107 | + | 0.290734i | ||||
\(859\) | 21.9978 | − | 30.2774i | 0.750556 | − | 1.03305i | −0.247386 | − | 0.968917i | \(-0.579571\pi\) |
0.997941 | − | 0.0641342i | \(-0.0204286\pi\) | |||||||
\(860\) | 20.3568 | + | 5.35809i | 0.694160 | + | 0.182709i | ||||
\(861\) | 23.8546 | − | 4.58184i | 0.812963 | − | 0.156149i | ||||
\(862\) | −2.60010 | + | 0.411816i | −0.0885598 | + | 0.0140265i | ||||
\(863\) | 29.4253 | − | 4.66051i | 1.00165 | − | 0.158646i | 0.365993 | − | 0.930618i | \(-0.380730\pi\) |
0.635656 | + | 0.771972i | \(0.280730\pi\) | |||||||
\(864\) | 3.29691 | − | 4.01626i | 0.112163 | − | 0.136636i | ||||
\(865\) | −26.7020 | − | 32.6774i | −0.907897 | − | 1.11106i | ||||
\(866\) | −22.1953 | + | 30.5491i | −0.754225 | + | 1.03810i | ||||
\(867\) | 27.8351 | − | 21.6476i | 0.945329 | − | 0.735192i | ||||
\(868\) | 6.52963 | + | 6.52963i | 0.221630 | + | 0.221630i | ||||
\(869\) | −5.40787 | − | 16.6437i | −0.183449 | − | 0.564599i | ||||
\(870\) | 27.3262 | − | 11.6704i | 0.926445 | − | 0.395665i | ||||
\(871\) | −4.16347 | + | 12.8138i | −0.141074 | + | 0.434180i | ||||
\(872\) | 16.1738 | − | 8.24095i | 0.547713 | − | 0.279074i | ||||
\(873\) | −18.6160 | − | 31.2967i | −0.630056 | − | 1.05923i | ||||
\(874\) | − | 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 | −0.995703 | − | 0.0926062i | \(-0.970480\pi\) |
0.975587 | + | 0.219615i | \(0.0704802\pi\) | |||||||
\(878\) | 1.34230 | + | 2.63442i | 0.0453006 | + | 0.0889074i | ||||
\(879\) | −25.0040 | − | 23.4208i | −0.843365 | − | 0.789964i | ||||
\(880\) | −4.57601 | − | 4.08371i | −0.154257 | − | 0.137662i | ||||
\(881\) | −32.9569 | + | 10.7083i | −1.11035 | + | 0.360773i | −0.806075 | − | 0.591813i | \(-0.798412\pi\) |
−0.304270 | + | 0.952586i | \(0.598412\pi\) | |||||||
\(882\) | 1.27446 | − | 13.8570i | 0.0429134 | − | 0.466590i | ||||
\(883\) | −14.6498 | + | 28.7519i | −0.493006 | + | 0.967578i | 0.501722 | + | 0.865029i | \(0.332700\pi\) |
−0.994728 | + | 0.102549i | \(0.967300\pi\) | |||||||
\(884\) | 11.2290 | + | 8.15835i | 0.377673 | + | 0.274395i | ||||
\(885\) | 6.85801 | + | 27.2500i | 0.230529 | + | 0.915998i | ||||
\(886\) | −9.53291 | + | 6.92606i | −0.320264 | + | 0.232686i | ||||
\(887\) | −6.90757 | − | 43.6127i | −0.231934 | − | 1.46437i | −0.778864 | − | 0.627193i | \(-0.784204\pi\) |
0.546930 | − | 0.837178i | \(-0.315796\pi\) | |||||||
\(888\) | 1.60275 | − | 5.54290i | 0.0537848 | − | 0.186008i | ||||
\(889\) | 7.91591 | + | 10.8953i | 0.265491 | + | 0.365417i | ||||
\(890\) | −5.71665 | + | 21.7191i | −0.191623 | + | 0.728024i | ||||
\(891\) | −16.9896 | − | 17.9093i | −0.569172 | − | 0.599985i | ||||
\(892\) | −21.8503 | − | 11.1333i | −0.731601 | − | 0.372770i | ||||
\(893\) | −7.27779 | + | 7.27779i | −0.243542 | + | 0.243542i | ||||
\(894\) | −0.194926 | + | 1.55887i | −0.00651929 | + | 0.0521365i | ||||
\(895\) | −29.1677 | − | 50.0073i | −0.974969 | − | 1.67156i | ||||
\(896\) | −1.46150 | − | 0.474872i | −0.0488254 | − | 0.0158643i | ||||
\(897\) | −0.661411 | − | 20.2302i | −0.0220839 | − | 0.675466i | ||||
\(898\) | −11.0583 | − | 1.75146i | −0.369019 | − | 0.0584469i | ||||
\(899\) | −46.1026 | −1.53761 | ||||||||
\(900\) | −2.02210 | + | 14.8631i | −0.0674034 | + | 0.495436i | ||||
\(901\) | 2.68500 | 0.0894502 | ||||||||
\(902\) | 24.7235 | + | 3.91581i | 0.823202 | + | 0.130382i | ||||
\(903\) | −0.818774 | − | 25.0433i | −0.0272471 | − | 0.833390i | ||||
\(904\) | −6.30676 | − | 2.04919i | −0.209760 | − | 0.0681551i | ||||
\(905\) | −17.4381 | − | 7.67160i | −0.579662 | − | 0.255013i | ||||
\(906\) | 1.52105 | − | 12.1643i | 0.0505337 | − | 0.404131i | ||||
\(907\) | −28.9644 | + | 28.9644i | −0.961746 | + | 0.961746i | −0.999295 | − | 0.0375488i | \(-0.988045\pi\) |
0.0375488 | + | 0.999295i | \(0.488045\pi\) | |||||||
\(908\) | −19.4421 | − | 9.90627i | −0.645210 | − | 0.328751i | ||||
\(909\) | 0.693209 | + | 10.5901i | 0.0229923 | + | 0.351250i | ||||
\(910\) | −7.79053 | + | 0.442883i | −0.258254 | + | 0.0146814i | ||||
\(911\) | 0.920803 | + | 1.26738i | 0.0305076 | + | 0.0419901i | 0.823998 | − | 0.566592i | \(-0.191739\pi\) |
−0.793491 | + | 0.608582i | \(0.791739\pi\) | |||||||
\(912\) | 2.05034 | − | 7.09082i | 0.0678934 | − | 0.234800i | ||||
\(913\) | 3.33523 | + | 21.0578i | 0.110380 | + | 0.696912i | ||||
\(914\) | −8.32838 | + | 6.05092i | −0.275478 | + | 0.200147i | ||||
\(915\) | −38.9180 | − | 2.63523i | −1.28659 | − | 0.0871180i | ||||
\(916\) | 12.0369 | + | 8.74529i | 0.397709 | + | 0.288952i | ||||
\(917\) | −8.08095 | + | 15.8597i | −0.266856 | + | 0.523735i | ||||
\(918\) | −27.3982 | − | 16.0630i | −0.904275 | − | 0.530159i | ||||
\(919\) | 32.7370 | − | 10.6369i | 1.07989 | − | 0.350879i | 0.285560 | − | 0.958361i | \(-0.407820\pi\) |
0.794333 | + | 0.607482i | \(0.207820\pi\) | |||||||
\(920\) | 2.44228 | + | 11.2450i | 0.0805197 | + | 0.370736i | ||||
\(921\) | −0.193462 | − | 0.181213i | −0.00637481 | − | 0.00597116i | ||||
\(922\) | −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 | ||||||
\(927\) | 42.4956 | − | 25.2774i | 1.39574 | − | 0.830218i | ||||
\(928\) | 6.83591 | − | 3.48307i | 0.224400 | − | 0.114337i | ||||
\(929\) | −3.37519 | + | 10.3878i | −0.110736 | + | 0.340811i | −0.991034 | − | 0.133611i | \(-0.957343\pi\) |
0.880298 | + | 0.474422i | \(0.157343\pi\) | |||||||
\(930\) | 11.9426 | − | 19.9754i | 0.391612 | − | 0.655018i | ||||
\(931\) | −6.10847 | − | 18.7999i | −0.200197 | − | 0.616143i | ||||
\(932\) | −7.07160 | − | 7.07160i | −0.231638 | − | 0.231638i | ||||
\(933\) | 22.4256 | − | 17.4406i | 0.734180 | − | 0.570980i | ||||
\(934\) | −10.1487 | + | 13.9685i | −0.332075 | + | 0.457062i | ||||
\(935\) | −20.2777 | + | 31.5296i | −0.663151 | + | 1.03113i | ||||
\(936\) | 1.67749 | − | 6.60280i | 0.0548305 | − | 0.215819i | ||||
\(937\) | 24.5644 | − | 3.89063i | 0.802485 | − | 0.127101i | 0.258298 | − | 0.966065i | \(-0.416838\pi\) |
0.544187 | + | 0.838964i | \(0.316838\pi\) | |||||||
\(938\) | −9.00529 | + | 1.42630i | −0.294033 | + | 0.0465703i | ||||
\(939\) | 39.6679 | − | 7.61915i | 1.29451 | − | 0.248642i | ||||
\(940\) | 2.92120 | − | 4.54215i | 0.0952789 | − | 0.148149i | ||||
\(941\) | −15.4350 | + | 21.2444i | −0.503166 | + | 0.692548i | −0.982748 | − | 0.184949i | \(-0.940788\pi\) |
0.479583 | + | 0.877497i | \(0.340788\pi\) | |||||||
\(942\) | −4.64691 | − | 5.97512i | −0.151405 | − | 0.194680i | ||||
\(943\) | −33.2087 | − | 33.2087i | −1.08142 | − | 1.08142i | ||||
\(944\) | 2.24201 | + | 6.90021i | 0.0729714 | + | 0.224583i | ||||
\(945\) | 17.6414 | − | 2.75356i | 0.573876 | − | 0.0895734i | ||||
\(946\) | 7.97915 | − | 24.5573i | 0.259425 | − | 0.798427i | ||||
\(947\) | −37.3987 | + | 19.0556i | −1.21529 | + | 0.619223i | −0.939683 | − | 0.342047i | \(-0.888880\pi\) |
−0.275610 | + | 0.961270i | \(0.588880\pi\) | |||||||
\(948\) | −6.19997 | + | 9.14789i | −0.201366 | + | 0.297110i | ||||
\(949\) | 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 | \(-0.262064\pi\) |
−0.992907 | + | 0.118897i | \(0.962064\pi\) | |||||||
\(954\) | −0.488240 | − | 1.22408i | −0.0158074 | − | 0.0396312i | ||||
\(955\) | −4.16020 | − | 19.1547i | −0.134621 | − | 0.619833i | ||||
\(956\) | 6.37898 | − | 2.07266i | 0.206311 | − | 0.0670345i | ||||
\(957\) | −12.3899 | − | 34.2781i | −0.400510 | − | 1.10805i | ||||
\(958\) | 9.76750 | − | 19.1698i | 0.315574 | − | 0.619348i | ||||
\(959\) | −9.12374 | − | 6.62879i | −0.294621 | − | 0.214055i | ||||
\(960\) | −0.261650 | + | 3.86414i | −0.00844471 | + | 0.124714i | ||||
\(961\) | −4.13355 | + | 3.00320i | −0.133340 | + | 0.0968775i | ||||
\(962\) | −1.18341 | − | 7.47174i | −0.0381546 | − | 0.240899i | ||||
\(963\) | −4.23316 | − | 3.71302i | −0.136412 | − | 0.119650i | ||||
\(964\) | 5.61740 | + | 7.73169i | 0.180924 | + | 0.249021i | ||||
\(965\) | 53.1033 | − | 3.01887i | 1.70946 | − | 0.0971808i | ||||
\(966\) | 11.9947 | − | 6.61395i | 0.385923 | − | 0.212800i | ||||
\(967\) | −2.98519 | − | 1.52103i | −0.0959973 | − | 0.0489130i | 0.405333 | − | 0.914169i | \(-0.367156\pi\) |
−0.501330 | + | 0.865256i | \(0.667156\pi\) | |||||||
\(968\) | 2.45838 | − | 2.45838i | 0.0790154 | − | 0.0790154i | ||||
\(969\) | −44.7671 | − | 5.59779i | −1.43813 | − | 0.179827i | ||||
\(970\) | 24.8441 | + | 10.9297i | 0.797696 | + | 0.350933i | ||||
\(971\) | −20.1061 | − | 6.53286i | −0.645234 | − | 0.209649i | −0.0319227 | − | 0.999490i | \(-0.510163\pi\) |
−0.613312 | + | 0.789841i | \(0.710163\pi\) | |||||||
\(972\) | −2.34101 | + | 15.4117i | −0.0750879 | + | 0.494330i | ||||
\(973\) | 13.2322 | + | 2.09577i | 0.424204 | + | 0.0671874i | ||||
\(974\) | 2.61984 | 0.0839451 | ||||||||
\(975\) | 5.87443 | + | 18.7683i | 0.188132 | + | 0.601066i | ||||
\(976\) | −10.0716 | −0.322384 | ||||||||
\(977\) | 0.151463 | + | 0.0239894i | 0.00484574 | + | 0.000767489i | 0.158857 | − | 0.987302i | \(-0.449219\pi\) |
−0.154011 | + | 0.988069i | \(0.549219\pi\) | |||||||
\(978\) | 13.1903 | − | 0.431248i | 0.421780 | − | 0.0137898i | ||||
\(979\) | 26.2007 | + | 8.51312i | 0.837377 | + | 0.272080i | ||||
\(980\) | 5.22572 | + | 8.95937i | 0.166930 | + | 0.286197i | ||||
\(981\) | −29.0628 | + | 46.0531i | −0.927904 | + | 1.47036i | ||||
\(982\) | −5.39477 | + | 5.39477i | −0.172154 | + | 0.172154i | ||||
\(983\) | 27.8680 | + | 14.1994i | 0.888850 | + | 0.452892i | 0.837909 | − | 0.545810i | \(-0.183778\pi\) |
0.0509408 | + | 0.998702i | \(0.483778\pi\) | |||||||
\(984\) | −7.63255 | − | 13.8420i | −0.243317 | − | 0.441267i | ||||
\(985\) | 3.99205 | − | 15.1668i | 0.127197 | − | 0.483256i | ||||
\(986\) | −27.5632 | − | 37.9374i | −0.877790 | − | 1.20817i | ||||
\(987\) | −6.17534 | − | 1.78562i | −0.196563 | − | 0.0568370i | ||||
\(988\) | −1.51389 | − | 9.55830i | −0.0481632 | − | 0.304090i | ||||
\(989\) | −39.1931 | + | 28.4754i | −1.24627 | + | 0.905466i | ||||
\(990\) | 18.0616 | + | 3.51119i | 0.574035 | + | 0.111593i | ||||
\(991\) | −7.72378 | − | 5.61165i | −0.245354 | − | 0.178260i | 0.458311 | − | 0.888792i | \(-0.348454\pi\) |
−0.703665 | + | 0.710532i | \(0.748454\pi\) | |||||||
\(992\) | 2.72808 | − | 5.35415i | 0.0866165 | − | 0.169995i | ||||
\(993\) | −26.6806 | + | 9.64380i | −0.846683 | + | 0.306037i | ||||
\(994\) | 9.05361 | − | 2.94169i | 0.287163 | − | 0.0933049i | ||||
\(995\) | 30.8419 | + | 27.5238i | 0.977753 | + | 0.872564i | ||||
\(996\) | 9.20377 | − | 9.82593i | 0.291633 | − | 0.311347i | ||||
\(997\) | −16.0041 | − | 31.4099i | −0.506856 | − | 0.994761i | −0.992688 | − | 0.120708i | \(-0.961483\pi\) |
0.485832 | − | 0.874052i | \(-0.338517\pi\) | |||||||
\(998\) | −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.23.8 | yes | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.23.2 | ✓ | 80 | |
5.2 | odd | 4 | 750.2.l.c.407.5 | 80 | |||
5.3 | odd | 4 | 750.2.l.a.407.6 | 80 | |||
5.4 | even | 2 | 750.2.l.b.593.3 | 80 | |||
15.2 | even | 4 | 750.2.l.c.407.7 | 80 | |||
15.8 | even | 4 | 750.2.l.a.407.4 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.593.9 | 80 | |||
25.9 | even | 10 | 750.2.l.a.293.4 | 80 | |||
25.12 | odd | 20 | inner | 150.2.l.a.137.2 | yes | 80 | |
25.13 | odd | 20 | 750.2.l.b.707.9 | 80 | |||
25.16 | even | 5 | 750.2.l.c.293.7 | 80 | |||
75.38 | even | 20 | 750.2.l.b.707.3 | 80 | |||
75.41 | odd | 10 | 750.2.l.c.293.5 | 80 | |||
75.59 | odd | 10 | 750.2.l.a.293.6 | 80 | |||
75.62 | even | 20 | inner | 150.2.l.a.137.8 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.23.2 | ✓ | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.23.8 | yes | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.137.2 | yes | 80 | 25.12 | odd | 20 | inner | |
150.2.l.a.137.8 | yes | 80 | 75.62 | even | 20 | inner | |
750.2.l.a.293.4 | 80 | 25.9 | even | 10 | |||
750.2.l.a.293.6 | 80 | 75.59 | odd | 10 | |||
750.2.l.a.407.4 | 80 | 15.8 | even | 4 | |||
750.2.l.a.407.6 | 80 | 5.3 | odd | 4 | |||
750.2.l.b.593.3 | 80 | 5.4 | even | 2 | |||
750.2.l.b.593.9 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.707.3 | 80 | 75.38 | even | 20 | |||
750.2.l.b.707.9 | 80 | 25.13 | odd | 20 | |||
750.2.l.c.293.5 | 80 | 75.41 | odd | 10 | |||
750.2.l.c.293.7 | 80 | 25.16 | even | 5 | |||
750.2.l.c.407.5 | 80 | 5.2 | odd | 4 | |||
750.2.l.c.407.7 | 80 | 15.2 | even | 4 |