Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 389.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.389 |
Dual form | 722.2.e.m.245.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | 1.17365 | − | 0.984808i | 0.677606 | − | 0.568579i | −0.237700 | − | 0.971339i | \(-0.576393\pi\) |
0.915306 | + | 0.402760i | \(0.131949\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −1.87939 | − | 0.684040i | −0.840487 | − | 0.305912i | −0.114331 | − | 0.993443i | \(-0.536473\pi\) |
−0.726155 | + | 0.687531i | \(0.758695\pi\) | |||||||
\(6\) | 1.17365 | + | 0.984808i | 0.479140 | + | 0.402046i | ||||
\(7\) | −1.34730 | + | 2.33359i | −0.509230 | + | 0.882013i | 0.490713 | + | 0.871321i | \(0.336736\pi\) |
−0.999943 | + | 0.0106911i | \(0.996597\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −0.113341 | + | 0.642788i | −0.0377803 | + | 0.214263i | ||||
\(10\) | 0.347296 | − | 1.96962i | 0.109825 | − | 0.622847i | ||||
\(11\) | −1.59240 | − | 2.75811i | −0.480126 | − | 0.831602i | 0.519615 | − | 0.854401i | \(-0.326076\pi\) |
−0.999740 | + | 0.0227990i | \(0.992742\pi\) | |||||||
\(12\) | −0.766044 | + | 1.32683i | −0.221138 | + | 0.383022i | ||||
\(13\) | −4.41147 | − | 3.70167i | −1.22352 | − | 1.02666i | −0.998633 | − | 0.0522733i | \(-0.983353\pi\) |
−0.224890 | − | 0.974384i | \(-0.572202\pi\) | |||||||
\(14\) | −2.53209 | − | 0.921605i | −0.676729 | − | 0.246309i | ||||
\(15\) | −2.87939 | + | 1.04801i | −0.743454 | + | 0.270595i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −1.13176 | − | 6.41852i | −0.274492 | − | 1.55672i | −0.740571 | − | 0.671978i | \(-0.765445\pi\) |
0.466079 | − | 0.884743i | \(-0.345666\pi\) | |||||||
\(18\) | −0.652704 | −0.153844 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | 0.716881 | + | 4.06564i | 0.156436 | + | 0.887195i | ||||
\(22\) | 2.43969 | − | 2.04715i | 0.520144 | − | 0.436453i | ||||
\(23\) | 0.652704 | − | 0.237565i | 0.136098 | − | 0.0495357i | −0.273073 | − | 0.961993i | \(-0.588040\pi\) |
0.409171 | + | 0.912458i | \(0.365818\pi\) | |||||||
\(24\) | −1.43969 | − | 0.524005i | −0.293876 | − | 0.106962i | ||||
\(25\) | −0.766044 | − | 0.642788i | −0.153209 | − | 0.128558i | ||||
\(26\) | 2.87939 | − | 4.98724i | 0.564694 | − | 0.978079i | ||||
\(27\) | 2.79813 | + | 4.84651i | 0.538501 | + | 0.932711i | ||||
\(28\) | 0.467911 | − | 2.65366i | 0.0884269 | − | 0.501494i | ||||
\(29\) | −0.490200 | + | 2.78006i | −0.0910278 | + | 0.516244i | 0.904865 | + | 0.425700i | \(0.139972\pi\) |
−0.995892 | + | 0.0905448i | \(0.971139\pi\) | |||||||
\(30\) | −1.53209 | − | 2.65366i | −0.279720 | − | 0.484489i | ||||
\(31\) | −1.22668 | + | 2.12467i | −0.220319 | + | 0.381603i | −0.954905 | − | 0.296913i | \(-0.904043\pi\) |
0.734586 | + | 0.678515i | \(0.237376\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | −4.58512 | − | 1.66885i | −0.798167 | − | 0.290509i | ||||
\(34\) | 6.12449 | − | 2.22913i | 1.05034 | − | 0.382293i | ||||
\(35\) | 4.12836 | − | 3.46410i | 0.697819 | − | 0.585540i | ||||
\(36\) | −0.113341 | − | 0.642788i | −0.0188901 | − | 0.107131i | ||||
\(37\) | −4.36959 | −0.718355 | −0.359178 | − | 0.933269i | \(-0.616943\pi\) | ||||
−0.359178 | + | 0.933269i | \(0.616943\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.82295 | −1.41280 | ||||||||
\(40\) | 0.347296 | + | 1.96962i | 0.0549124 | + | 0.311424i | ||||
\(41\) | −0.266044 | + | 0.223238i | −0.0415492 | + | 0.0348639i | −0.663326 | − | 0.748331i | \(-0.730856\pi\) |
0.621777 | + | 0.783195i | \(0.286411\pi\) | |||||||
\(42\) | −3.87939 | + | 1.41198i | −0.598602 | + | 0.217873i | ||||
\(43\) | −5.69846 | − | 2.07407i | −0.869007 | − | 0.316293i | −0.131242 | − | 0.991350i | \(-0.541897\pi\) |
−0.737765 | + | 0.675057i | \(0.764119\pi\) | |||||||
\(44\) | 2.43969 | + | 2.04715i | 0.367798 | + | 0.308619i | ||||
\(45\) | 0.652704 | − | 1.13052i | 0.0972993 | − | 0.168527i | ||||
\(46\) | 0.347296 | + | 0.601535i | 0.0512061 | + | 0.0886915i | ||||
\(47\) | 1.36959 | − | 7.76730i | 0.199775 | − | 1.13298i | −0.705679 | − | 0.708532i | \(-0.749358\pi\) |
0.905453 | − | 0.424446i | \(-0.139531\pi\) | |||||||
\(48\) | 0.266044 | − | 1.50881i | 0.0384002 | − | 0.217778i | ||||
\(49\) | −0.130415 | − | 0.225885i | −0.0186307 | − | 0.0322693i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | −7.64930 | − | 6.41852i | −1.07112 | − | 0.898773i | ||||
\(52\) | 5.41147 | + | 1.96962i | 0.750436 | + | 0.273137i | ||||
\(53\) | −7.71688 | + | 2.80872i | −1.06000 | + | 0.385807i | −0.812426 | − | 0.583064i | \(-0.801854\pi\) |
−0.247569 | + | 0.968870i | \(0.579632\pi\) | |||||||
\(54\) | −4.28699 | + | 3.59721i | −0.583385 | + | 0.489518i | ||||
\(55\) | 1.10607 | + | 6.27282i | 0.149142 | + | 0.845826i | ||||
\(56\) | 2.69459 | 0.360080 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.82295 | −0.370671 | ||||||||
\(59\) | 0.0996702 | + | 0.565258i | 0.0129760 | + | 0.0735903i | 0.990608 | − | 0.136732i | \(-0.0436598\pi\) |
−0.977632 | + | 0.210322i | \(0.932549\pi\) | |||||||
\(60\) | 2.34730 | − | 1.96962i | 0.303035 | − | 0.254276i | ||||
\(61\) | −2.75877 | + | 1.00411i | −0.353224 | + | 0.128563i | −0.512537 | − | 0.858665i | \(-0.671294\pi\) |
0.159313 | + | 0.987228i | \(0.449072\pi\) | |||||||
\(62\) | −2.30541 | − | 0.839100i | −0.292787 | − | 0.106566i | ||||
\(63\) | −1.34730 | − | 1.13052i | −0.169743 | − | 0.142432i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 5.75877 | + | 9.97448i | 0.714288 | + | 1.23718i | ||||
\(66\) | 0.847296 | − | 4.80526i | 0.104295 | − | 0.591486i | ||||
\(67\) | −0.860967 | + | 4.88279i | −0.105184 | + | 0.596527i | 0.885963 | + | 0.463756i | \(0.153499\pi\) |
−0.991147 | + | 0.132771i | \(0.957612\pi\) | |||||||
\(68\) | 3.25877 | + | 5.64436i | 0.395184 | + | 0.684479i | ||||
\(69\) | 0.532089 | − | 0.921605i | 0.0640560 | − | 0.110948i | ||||
\(70\) | 4.12836 | + | 3.46410i | 0.493433 | + | 0.414039i | ||||
\(71\) | 7.94356 | + | 2.89122i | 0.942727 | + | 0.343125i | 0.767242 | − | 0.641357i | \(-0.221628\pi\) |
0.175485 | + | 0.984482i | \(0.443851\pi\) | |||||||
\(72\) | 0.613341 | − | 0.223238i | 0.0722829 | − | 0.0263088i | ||||
\(73\) | 12.0778 | − | 10.1345i | 1.41361 | − | 1.18616i | 0.458943 | − | 0.888466i | \(-0.348228\pi\) |
0.954663 | − | 0.297690i | \(-0.0962161\pi\) | |||||||
\(74\) | −0.758770 | − | 4.30320i | −0.0882053 | − | 0.500237i | ||||
\(75\) | −1.53209 | −0.176910 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.58172 | 0.977978 | ||||||||
\(78\) | −1.53209 | − | 8.68891i | −0.173475 | − | 0.983825i | ||||
\(79\) | −6.94356 | + | 5.82634i | −0.781212 | + | 0.655515i | −0.943554 | − | 0.331220i | \(-0.892540\pi\) |
0.162342 | + | 0.986735i | \(0.448095\pi\) | |||||||
\(80\) | −1.87939 | + | 0.684040i | −0.210122 | + | 0.0764780i | ||||
\(81\) | 6.21688 | + | 2.26276i | 0.690765 | + | 0.251418i | ||||
\(82\) | −0.266044 | − | 0.223238i | −0.0293797 | − | 0.0246525i | ||||
\(83\) | −4.23783 | + | 7.34013i | −0.465162 | + | 0.805684i | −0.999209 | − | 0.0397709i | \(-0.987337\pi\) |
0.534047 | + | 0.845455i | \(0.320671\pi\) | |||||||
\(84\) | −2.06418 | − | 3.57526i | −0.225220 | − | 0.390093i | ||||
\(85\) | −2.26352 | + | 12.8370i | −0.245513 | + | 1.39237i | ||||
\(86\) | 1.05303 | − | 5.97205i | 0.113552 | − | 0.643983i | ||||
\(87\) | 2.16250 | + | 3.74557i | 0.231845 | + | 0.401567i | ||||
\(88\) | −1.59240 | + | 2.75811i | −0.169750 | + | 0.294016i | ||||
\(89\) | 5.92855 | + | 4.97464i | 0.628425 | + | 0.527311i | 0.900439 | − | 0.434982i | \(-0.143245\pi\) |
−0.272014 | + | 0.962293i | \(0.587690\pi\) | |||||||
\(90\) | 1.22668 | + | 0.446476i | 0.129304 | + | 0.0470627i | ||||
\(91\) | 14.5817 | − | 5.30731i | 1.52858 | − | 0.556357i | ||||
\(92\) | −0.532089 | + | 0.446476i | −0.0554741 | + | 0.0465483i | ||||
\(93\) | 0.652704 | + | 3.70167i | 0.0676822 | + | 0.383845i | ||||
\(94\) | 7.88713 | 0.813495 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.53209 | 0.156368 | ||||||||
\(97\) | −0.0603074 | − | 0.342020i | −0.00612329 | − | 0.0347269i | 0.981593 | − | 0.190985i | \(-0.0611681\pi\) |
−0.987716 | + | 0.156258i | \(0.950057\pi\) | |||||||
\(98\) | 0.199807 | − | 0.167658i | 0.0201836 | − | 0.0169360i | ||||
\(99\) | 1.95336 | − | 0.710966i | 0.196320 | − | 0.0714548i | ||||
\(100\) | 0.939693 | + | 0.342020i | 0.0939693 | + | 0.0342020i | ||||
\(101\) | −0.283119 | − | 0.237565i | −0.0281714 | − | 0.0236386i | 0.628593 | − | 0.777734i | \(-0.283631\pi\) |
−0.656765 | + | 0.754096i | \(0.728075\pi\) | |||||||
\(102\) | 4.99273 | − | 8.64766i | 0.494354 | − | 0.856245i | ||||
\(103\) | −4.29086 | − | 7.43199i | −0.422791 | − | 0.732295i | 0.573420 | − | 0.819261i | \(-0.305616\pi\) |
−0.996211 | + | 0.0869659i | \(0.972283\pi\) | |||||||
\(104\) | −1.00000 | + | 5.67128i | −0.0980581 | + | 0.556115i | ||||
\(105\) | 1.43376 | − | 8.13127i | 0.139921 | − | 0.793531i | ||||
\(106\) | −4.10607 | − | 7.11192i | −0.398816 | − | 0.690770i | ||||
\(107\) | 5.72668 | − | 9.91890i | 0.553619 | − | 0.958897i | −0.444390 | − | 0.895833i | \(-0.646580\pi\) |
0.998010 | − | 0.0630633i | \(-0.0200870\pi\) | |||||||
\(108\) | −4.28699 | − | 3.59721i | −0.412516 | − | 0.346142i | ||||
\(109\) | −8.17024 | − | 2.97373i | −0.782568 | − | 0.284831i | −0.0803246 | − | 0.996769i | \(-0.525596\pi\) |
−0.702243 | + | 0.711937i | \(0.747818\pi\) | |||||||
\(110\) | −5.98545 | + | 2.17853i | −0.570690 | + | 0.207714i | ||||
\(111\) | −5.12836 | + | 4.30320i | −0.486762 | + | 0.408442i | ||||
\(112\) | 0.467911 | + | 2.65366i | 0.0442134 | + | 0.250747i | ||||
\(113\) | 2.85978 | 0.269026 | 0.134513 | − | 0.990912i | \(-0.457053\pi\) | ||||
0.134513 | + | 0.990912i | \(0.457053\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.38919 | −0.129542 | ||||||||
\(116\) | −0.490200 | − | 2.78006i | −0.0455139 | − | 0.258122i | ||||
\(117\) | 2.87939 | − | 2.41609i | 0.266199 | − | 0.223368i | ||||
\(118\) | −0.539363 | + | 0.196312i | −0.0496524 | + | 0.0180720i | ||||
\(119\) | 16.5030 | + | 6.00660i | 1.51283 | + | 0.550624i | ||||
\(120\) | 2.34730 | + | 1.96962i | 0.214278 | + | 0.179800i | ||||
\(121\) | 0.428548 | − | 0.742267i | 0.0389589 | − | 0.0674789i | ||||
\(122\) | −1.46791 | − | 2.54250i | −0.132898 | − | 0.230187i | ||||
\(123\) | −0.0923963 | + | 0.524005i | −0.00833109 | + | 0.0472480i | ||||
\(124\) | 0.426022 | − | 2.41609i | 0.0382579 | − | 0.216971i | ||||
\(125\) | 6.00000 | + | 10.3923i | 0.536656 | + | 0.929516i | ||||
\(126\) | 0.879385 | − | 1.52314i | 0.0783419 | − | 0.135692i | ||||
\(127\) | 7.45336 | + | 6.25411i | 0.661379 | + | 0.554963i | 0.910500 | − | 0.413510i | \(-0.135697\pi\) |
−0.249121 | + | 0.968472i | \(0.580142\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | −8.73055 | + | 3.17766i | −0.768682 | + | 0.279777i | ||||
\(130\) | −8.82295 | + | 7.40333i | −0.773824 | + | 0.649315i | ||||
\(131\) | −1.12314 | − | 6.36965i | −0.0981293 | − | 0.556519i | −0.993743 | − | 0.111687i | \(-0.964375\pi\) |
0.895614 | − | 0.444832i | \(-0.146737\pi\) | |||||||
\(132\) | 4.87939 | 0.424696 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.95811 | −0.428316 | ||||||||
\(135\) | −1.94356 | − | 11.0225i | −0.167275 | − | 0.948665i | ||||
\(136\) | −4.99273 | + | 4.18939i | −0.428123 | + | 0.359238i | ||||
\(137\) | 10.9572 | − | 3.98811i | 0.936140 | − | 0.340727i | 0.171499 | − | 0.985184i | \(-0.445139\pi\) |
0.764640 | + | 0.644457i | \(0.222917\pi\) | |||||||
\(138\) | 1.00000 | + | 0.363970i | 0.0851257 | + | 0.0309832i | ||||
\(139\) | −6.33022 | − | 5.31169i | −0.536922 | − | 0.450531i | 0.333561 | − | 0.942728i | \(-0.391750\pi\) |
−0.870484 | + | 0.492197i | \(0.836194\pi\) | |||||||
\(140\) | −2.69459 | + | 4.66717i | −0.227735 | + | 0.394448i | ||||
\(141\) | −6.04189 | − | 10.4649i | −0.508819 | − | 0.881300i | ||||
\(142\) | −1.46791 | + | 8.32494i | −0.123184 | + | 0.698613i | ||||
\(143\) | −3.18479 | + | 18.0619i | −0.266326 | + | 1.51041i | ||||
\(144\) | 0.326352 | + | 0.565258i | 0.0271960 | + | 0.0471048i | ||||
\(145\) | 2.82295 | − | 4.88949i | 0.234433 | − | 0.406050i | ||||
\(146\) | 12.0778 | + | 10.1345i | 0.999570 | + | 0.838739i | ||||
\(147\) | −0.375515 | − | 0.136676i | −0.0309719 | − | 0.0112729i | ||||
\(148\) | 4.10607 | − | 1.49449i | 0.337517 | − | 0.122846i | ||||
\(149\) | −12.6040 | + | 10.5760i | −1.03256 | + | 0.866421i | −0.991153 | − | 0.132721i | \(-0.957629\pi\) |
−0.0414071 | + | 0.999142i | \(0.513184\pi\) | |||||||
\(150\) | −0.266044 | − | 1.50881i | −0.0217224 | − | 0.123194i | ||||
\(151\) | 4.65539 | 0.378850 | 0.189425 | − | 0.981895i | \(-0.439338\pi\) | ||||
0.189425 | + | 0.981895i | \(0.439338\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.25402 | 0.343917 | ||||||||
\(154\) | 1.49020 | + | 8.45134i | 0.120084 | + | 0.681029i | ||||
\(155\) | 3.75877 | − | 3.15398i | 0.301912 | − | 0.253334i | ||||
\(156\) | 8.29086 | − | 3.01763i | 0.663800 | − | 0.241603i | ||||
\(157\) | −7.94356 | − | 2.89122i | −0.633965 | − | 0.230745i | 0.00499096 | − | 0.999988i | \(-0.498411\pi\) |
−0.638956 | + | 0.769243i | \(0.720634\pi\) | |||||||
\(158\) | −6.94356 | − | 5.82634i | −0.552400 | − | 0.463519i | ||||
\(159\) | −6.29086 | + | 10.8961i | −0.498898 | + | 0.864116i | ||||
\(160\) | −1.00000 | − | 1.73205i | −0.0790569 | − | 0.136931i | ||||
\(161\) | −0.325008 | + | 1.84321i | −0.0256142 | + | 0.145265i | ||||
\(162\) | −1.14883 | + | 6.51536i | −0.0902609 | + | 0.511895i | ||||
\(163\) | −8.52481 | − | 14.7654i | −0.667715 | − | 1.15652i | −0.978542 | − | 0.206050i | \(-0.933939\pi\) |
0.310826 | − | 0.950467i | \(-0.399394\pi\) | |||||||
\(164\) | 0.173648 | − | 0.300767i | 0.0135596 | − | 0.0234860i | ||||
\(165\) | 7.47565 | + | 6.27282i | 0.581979 | + | 0.488338i | ||||
\(166\) | −7.96451 | − | 2.89884i | −0.618166 | − | 0.224994i | ||||
\(167\) | 3.00000 | − | 1.09191i | 0.232147 | − | 0.0844946i | −0.223327 | − | 0.974743i | \(-0.571692\pi\) |
0.455474 | + | 0.890249i | \(0.349470\pi\) | |||||||
\(168\) | 3.16250 | − | 2.65366i | 0.243992 | − | 0.204734i | ||||
\(169\) | 3.50134 | + | 19.8571i | 0.269334 | + | 1.52747i | ||||
\(170\) | −13.0351 | −0.999745 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.06418 | 0.462389 | ||||||||
\(173\) | 1.67230 | + | 9.48411i | 0.127143 | + | 0.721063i | 0.980012 | + | 0.198938i | \(0.0637494\pi\) |
−0.852869 | + | 0.522125i | \(0.825139\pi\) | |||||||
\(174\) | −3.31315 | + | 2.78006i | −0.251169 | + | 0.210756i | ||||
\(175\) | 2.53209 | − | 0.921605i | 0.191408 | − | 0.0696668i | ||||
\(176\) | −2.99273 | − | 1.08926i | −0.225585 | − | 0.0821063i | ||||
\(177\) | 0.673648 | + | 0.565258i | 0.0506345 | + | 0.0424874i | ||||
\(178\) | −3.86959 | + | 6.70232i | −0.290038 | + | 0.502360i | ||||
\(179\) | −9.40807 | − | 16.2953i | −0.703192 | − | 1.21796i | −0.967340 | − | 0.253482i | \(-0.918424\pi\) |
0.264148 | − | 0.964482i | \(-0.414909\pi\) | |||||||
\(180\) | −0.226682 | + | 1.28558i | −0.0168958 | + | 0.0958211i | ||||
\(181\) | 0.482459 | − | 2.73616i | 0.0358609 | − | 0.203377i | −0.961613 | − | 0.274409i | \(-0.911518\pi\) |
0.997474 | + | 0.0710313i | \(0.0226290\pi\) | |||||||
\(182\) | 7.75877 | + | 13.4386i | 0.575118 | + | 0.996134i | ||||
\(183\) | −2.24897 | + | 3.89533i | −0.166249 | + | 0.287951i | ||||
\(184\) | −0.532089 | − | 0.446476i | −0.0392261 | − | 0.0329146i | ||||
\(185\) | 8.21213 | + | 2.98897i | 0.603768 | + | 0.219754i | ||||
\(186\) | −3.53209 | + | 1.28558i | −0.258985 | + | 0.0942629i | ||||
\(187\) | −15.9008 | + | 13.3424i | −1.16278 | + | 0.975689i | ||||
\(188\) | 1.36959 | + | 7.76730i | 0.0998873 | + | 0.566489i | ||||
\(189\) | −15.0797 | −1.09688 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.56212 | 0.691891 | 0.345945 | − | 0.938255i | \(-0.387558\pi\) | ||||
0.345945 | + | 0.938255i | \(0.387558\pi\) | |||||||
\(192\) | 0.266044 | + | 1.50881i | 0.0192001 | + | 0.108889i | ||||
\(193\) | −18.1407 | + | 15.2218i | −1.30579 | + | 1.09569i | −0.316682 | + | 0.948532i | \(0.602569\pi\) |
−0.989113 | + | 0.147160i | \(0.952987\pi\) | |||||||
\(194\) | 0.326352 | − | 0.118782i | 0.0234307 | − | 0.00852808i | ||||
\(195\) | 16.5817 | + | 6.03525i | 1.18744 | + | 0.432193i | ||||
\(196\) | 0.199807 | + | 0.167658i | 0.0142719 | + | 0.0119756i | ||||
\(197\) | 11.4611 | − | 19.8512i | 0.816570 | − | 1.41434i | −0.0916253 | − | 0.995794i | \(-0.529206\pi\) |
0.908195 | − | 0.418547i | \(-0.137460\pi\) | |||||||
\(198\) | 1.03936 | + | 1.80023i | 0.0738643 | + | 0.127937i | ||||
\(199\) | 1.75103 | − | 9.93058i | 0.124127 | − | 0.703960i | −0.857695 | − | 0.514158i | \(-0.828104\pi\) |
0.981822 | − | 0.189802i | \(-0.0607846\pi\) | |||||||
\(200\) | −0.173648 | + | 0.984808i | −0.0122788 | + | 0.0696364i | ||||
\(201\) | 3.79813 | + | 6.57856i | 0.267900 | + | 0.464016i | ||||
\(202\) | 0.184793 | − | 0.320070i | 0.0130020 | − | 0.0225201i | ||||
\(203\) | −5.82707 | − | 4.88949i | −0.408980 | − | 0.343175i | ||||
\(204\) | 9.38326 | + | 3.41523i | 0.656959 | + | 0.239114i | ||||
\(205\) | 0.652704 | − | 0.237565i | 0.0455868 | − | 0.0165922i | ||||
\(206\) | 6.57398 | − | 5.51622i | 0.458031 | − | 0.384333i | ||||
\(207\) | 0.0787257 | + | 0.446476i | 0.00547181 | + | 0.0310322i | ||||
\(208\) | −5.75877 | −0.399299 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.25671 | 0.569767 | ||||||||
\(211\) | −3.88279 | − | 22.0204i | −0.267302 | − | 1.51595i | −0.762398 | − | 0.647108i | \(-0.775978\pi\) |
0.495096 | − | 0.868838i | \(-0.335133\pi\) | |||||||
\(212\) | 6.29086 | − | 5.27866i | 0.432058 | − | 0.362540i | ||||
\(213\) | 12.1702 | − | 4.42961i | 0.833891 | − | 0.303512i | ||||
\(214\) | 10.7626 | + | 3.91728i | 0.735719 | + | 0.267780i | ||||
\(215\) | 9.29086 | + | 7.79596i | 0.633631 | + | 0.531680i | ||||
\(216\) | 2.79813 | − | 4.84651i | 0.190389 | − | 0.329763i | ||||
\(217\) | −3.30541 | − | 5.72513i | −0.224386 | − | 0.388647i | ||||
\(218\) | 1.50980 | − | 8.56250i | 0.102257 | − | 0.579926i | ||||
\(219\) | 4.19459 | − | 23.7887i | 0.283444 | − | 1.60749i | ||||
\(220\) | −3.18479 | − | 5.51622i | −0.214719 | − | 0.371904i | ||||
\(221\) | −18.7665 | + | 32.5046i | −1.26237 | + | 2.18649i | ||||
\(222\) | −5.12836 | − | 4.30320i | −0.344193 | − | 0.288812i | ||||
\(223\) | 8.71688 | + | 3.17269i | 0.583726 | + | 0.212459i | 0.616968 | − | 0.786989i | \(-0.288361\pi\) |
−0.0332420 | + | 0.999447i | \(0.510583\pi\) | |||||||
\(224\) | −2.53209 | + | 0.921605i | −0.169182 | + | 0.0615773i | ||||
\(225\) | 0.500000 | − | 0.419550i | 0.0333333 | − | 0.0279700i | ||||
\(226\) | 0.496596 | + | 2.81634i | 0.0330331 | + | 0.187340i | ||||
\(227\) | 7.73648 | 0.513488 | 0.256744 | − | 0.966479i | \(-0.417350\pi\) | ||||
0.256744 | + | 0.966479i | \(0.417350\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.0351 | −1.52220 | −0.761101 | − | 0.648634i | \(-0.775341\pi\) | ||||
−0.761101 | + | 0.648634i | \(0.775341\pi\) | |||||||
\(230\) | −0.241230 | − | 1.36808i | −0.0159062 | − | 0.0902086i | ||||
\(231\) | 10.0719 | − | 8.45134i | 0.662684 | − | 0.556058i | ||||
\(232\) | 2.65270 | − | 0.965505i | 0.174159 | − | 0.0633885i | ||||
\(233\) | −7.89306 | − | 2.87284i | −0.517091 | − | 0.188206i | 0.0702741 | − | 0.997528i | \(-0.477613\pi\) |
−0.587365 | + | 0.809322i | \(0.699835\pi\) | |||||||
\(234\) | 2.87939 | + | 2.41609i | 0.188231 | + | 0.157945i | ||||
\(235\) | −7.88713 | + | 13.6609i | −0.514499 | + | 0.891139i | ||||
\(236\) | −0.286989 | − | 0.497079i | −0.0186814 | − | 0.0323571i | ||||
\(237\) | −2.41147 | + | 13.6761i | −0.156642 | + | 0.888361i | ||||
\(238\) | −3.04963 | + | 17.2953i | −0.197678 | + | 1.12109i | ||||
\(239\) | 7.86484 | + | 13.6223i | 0.508734 | + | 0.881153i | 0.999949 | + | 0.0101147i | \(0.00321967\pi\) |
−0.491215 | + | 0.871038i | \(0.663447\pi\) | |||||||
\(240\) | −1.53209 | + | 2.65366i | −0.0988959 | + | 0.171293i | ||||
\(241\) | 13.4081 | + | 11.2507i | 0.863690 | + | 0.724722i | 0.962760 | − | 0.270359i | \(-0.0871423\pi\) |
−0.0990699 | + | 0.995080i | \(0.531587\pi\) | |||||||
\(242\) | 0.805407 | + | 0.293144i | 0.0517735 | + | 0.0188440i | ||||
\(243\) | −6.25150 | + | 2.27536i | −0.401034 | + | 0.145964i | ||||
\(244\) | 2.24897 | − | 1.88711i | 0.143976 | − | 0.120810i | ||||
\(245\) | 0.0905853 | + | 0.513735i | 0.00578728 | + | 0.0328213i | ||||
\(246\) | −0.532089 | −0.0339247 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 2.45336 | 0.155789 | ||||||||
\(249\) | 2.25490 | + | 12.7882i | 0.142898 | + | 0.810418i | ||||
\(250\) | −9.19253 | + | 7.71345i | −0.581387 | + | 0.487841i | ||||
\(251\) | −8.05051 | + | 2.93014i | −0.508144 | + | 0.184949i | −0.583353 | − | 0.812219i | \(-0.698260\pi\) |
0.0752096 | + | 0.997168i | \(0.476037\pi\) | |||||||
\(252\) | 1.65270 | + | 0.601535i | 0.104111 | + | 0.0378931i | ||||
\(253\) | −1.69459 | − | 1.42193i | −0.106538 | − | 0.0893961i | ||||
\(254\) | −4.86484 | + | 8.42615i | −0.305247 | + | 0.528703i | ||||
\(255\) | 9.98545 | + | 17.2953i | 0.625313 | + | 1.08307i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −1.39347 | + | 7.90274i | −0.0869220 | + | 0.492959i | 0.910003 | + | 0.414601i | \(0.136079\pi\) |
−0.996925 | + | 0.0783582i | \(0.975032\pi\) | |||||||
\(258\) | −4.64543 | − | 8.04612i | −0.289212 | − | 0.500930i | ||||
\(259\) | 5.88713 | − | 10.1968i | 0.365808 | − | 0.633598i | ||||
\(260\) | −8.82295 | − | 7.40333i | −0.547176 | − | 0.459135i | ||||
\(261\) | −1.73143 | − | 0.630189i | −0.107173 | − | 0.0390077i | ||||
\(262\) | 6.07785 | − | 2.21216i | 0.375491 | − | 0.136667i | ||||
\(263\) | −4.56624 | + | 3.83153i | −0.281566 | + | 0.236262i | −0.772622 | − | 0.634866i | \(-0.781055\pi\) |
0.491056 | + | 0.871128i | \(0.336611\pi\) | |||||||
\(264\) | 0.847296 | + | 4.80526i | 0.0521475 | + | 0.295743i | ||||
\(265\) | 16.4243 | 1.00893 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.8571 | 0.725643 | ||||||||
\(268\) | −0.860967 | − | 4.88279i | −0.0525919 | − | 0.298264i | ||||
\(269\) | −0.879385 | + | 0.737892i | −0.0536171 | + | 0.0449901i | −0.669202 | − | 0.743080i | \(-0.733364\pi\) |
0.615585 | + | 0.788070i | \(0.288920\pi\) | |||||||
\(270\) | 10.5175 | − | 3.82807i | 0.640077 | − | 0.232969i | ||||
\(271\) | −18.8452 | − | 6.85911i | −1.14477 | − | 0.416661i | −0.301134 | − | 0.953582i | \(-0.597365\pi\) |
−0.843633 | + | 0.536921i | \(0.819587\pi\) | |||||||
\(272\) | −4.99273 | − | 4.18939i | −0.302728 | − | 0.254019i | ||||
\(273\) | 11.8871 | − | 20.5891i | 0.719442 | − | 1.24611i | ||||
\(274\) | 5.83022 | + | 10.0982i | 0.352217 | + | 0.610057i | ||||
\(275\) | −0.553033 | + | 3.13641i | −0.0333492 | + | 0.189133i | ||||
\(276\) | −0.184793 | + | 1.04801i | −0.0111232 | + | 0.0630828i | ||||
\(277\) | −8.68004 | − | 15.0343i | −0.521533 | − | 0.903322i | −0.999686 | − | 0.0250457i | \(-0.992027\pi\) |
0.478153 | − | 0.878277i | \(-0.341306\pi\) | |||||||
\(278\) | 4.13176 | − | 7.15642i | 0.247806 | − | 0.429213i | ||||
\(279\) | −1.22668 | − | 1.02931i | −0.0734395 | − | 0.0616231i | ||||
\(280\) | −5.06418 | − | 1.84321i | −0.302643 | − | 0.110153i | ||||
\(281\) | −2.74510 | + | 0.999135i | −0.163759 | + | 0.0596034i | −0.422599 | − | 0.906317i | \(-0.638882\pi\) |
0.258840 | + | 0.965920i | \(0.416660\pi\) | |||||||
\(282\) | 9.25671 | − | 7.76730i | 0.551229 | − | 0.462536i | ||||
\(283\) | −1.64631 | − | 9.33667i | −0.0978628 | − | 0.555007i | −0.993832 | − | 0.110892i | \(-0.964629\pi\) |
0.895970 | − | 0.444115i | \(-0.146482\pi\) | |||||||
\(284\) | −8.45336 | −0.501615 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −18.3405 | −1.08450 | ||||||||
\(287\) | −0.162504 | − | 0.921605i | −0.00959230 | − | 0.0544006i | ||||
\(288\) | −0.500000 | + | 0.419550i | −0.0294628 | + | 0.0247222i | ||||
\(289\) | −23.9418 | + | 8.71411i | −1.40834 | + | 0.512594i | ||||
\(290\) | 5.30541 | + | 1.93101i | 0.311544 | + | 0.113393i | ||||
\(291\) | −0.407604 | − | 0.342020i | −0.0238942 | − | 0.0200496i | ||||
\(292\) | −7.88326 | + | 13.6542i | −0.461333 | + | 0.799052i | ||||
\(293\) | 13.6459 | + | 23.6354i | 0.797202 | + | 1.38079i | 0.921432 | + | 0.388541i | \(0.127021\pi\) |
−0.124230 | + | 0.992253i | \(0.539646\pi\) | |||||||
\(294\) | 0.0693923 | − | 0.393544i | 0.00404704 | − | 0.0229519i | ||||
\(295\) | 0.199340 | − | 1.13052i | 0.0116060 | − | 0.0658212i | ||||
\(296\) | 2.18479 | + | 3.78417i | 0.126988 | + | 0.219951i | ||||
\(297\) | 8.91147 | − | 15.4351i | 0.517096 | − | 0.895637i | ||||
\(298\) | −12.6040 | − | 10.5760i | −0.730131 | − | 0.612652i | ||||
\(299\) | −3.75877 | − | 1.36808i | −0.217375 | − | 0.0791181i | ||||
\(300\) | 1.43969 | − | 0.524005i | 0.0831207 | − | 0.0302535i | ||||
\(301\) | 12.5175 | − | 10.5035i | 0.721499 | − | 0.605410i | ||||
\(302\) | 0.808400 | + | 4.58467i | 0.0465182 | + | 0.263818i | ||||
\(303\) | −0.566237 | −0.0325295 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.87164 | 0.336209 | ||||||||
\(306\) | 0.738703 | + | 4.18939i | 0.0422289 | + | 0.239492i | ||||
\(307\) | 16.3387 | − | 13.7098i | 0.932498 | − | 0.782458i | −0.0437665 | − | 0.999042i | \(-0.513936\pi\) |
0.976264 | + | 0.216583i | \(0.0694913\pi\) | |||||||
\(308\) | −8.06418 | + | 2.93512i | −0.459499 | + | 0.167244i | ||||
\(309\) | −12.3550 | − | 4.49687i | −0.702854 | − | 0.255818i | ||||
\(310\) | 3.75877 | + | 3.15398i | 0.213484 | + | 0.179134i | ||||
\(311\) | 14.6459 | − | 25.3674i | 0.830493 | − | 1.43846i | −0.0671555 | − | 0.997743i | \(-0.521392\pi\) |
0.897648 | − | 0.440713i | \(-0.145274\pi\) | |||||||
\(312\) | 4.41147 | + | 7.64090i | 0.249751 | + | 0.432581i | ||||
\(313\) | 0.965690 | − | 5.47670i | 0.0545840 | − | 0.309561i | −0.945276 | − | 0.326271i | \(-0.894208\pi\) |
0.999860 | + | 0.0167094i | \(0.00531902\pi\) | |||||||
\(314\) | 1.46791 | − | 8.32494i | 0.0828390 | − | 0.469803i | ||||
\(315\) | 1.75877 | + | 3.04628i | 0.0990955 | + | 0.171638i | ||||
\(316\) | 4.53209 | − | 7.84981i | 0.254950 | − | 0.441586i | ||||
\(317\) | 2.91353 | + | 2.44474i | 0.163640 | + | 0.137311i | 0.720931 | − | 0.693007i | \(-0.243715\pi\) |
−0.557290 | + | 0.830318i | \(0.688159\pi\) | |||||||
\(318\) | −11.8229 | − | 4.30320i | −0.662998 | − | 0.241312i | ||||
\(319\) | 8.44831 | − | 3.07493i | 0.473015 | − | 0.172163i | ||||
\(320\) | 1.53209 | − | 1.28558i | 0.0856464 | − | 0.0718658i | ||||
\(321\) | −3.04710 | − | 17.2810i | −0.170073 | − | 0.964530i | ||||
\(322\) | −1.87164 | −0.104303 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −6.61587 | −0.367548 | ||||||||
\(325\) | 1.00000 | + | 5.67128i | 0.0554700 | + | 0.314586i | ||||
\(326\) | 13.0608 | − | 10.9593i | 0.723369 | − | 0.606979i | ||||
\(327\) | −12.5175 | + | 4.55601i | −0.692222 | + | 0.251948i | ||||
\(328\) | 0.326352 | + | 0.118782i | 0.0180198 | + | 0.00655866i | ||||
\(329\) | 16.2804 | + | 13.6609i | 0.897569 | + | 0.753150i | ||||
\(330\) | −4.87939 | + | 8.45134i | −0.268601 | + | 0.465231i | ||||
\(331\) | −10.2110 | − | 17.6859i | −0.561245 | − | 0.972104i | −0.997388 | − | 0.0722272i | \(-0.976989\pi\) |
0.436144 | − | 0.899877i | \(-0.356344\pi\) | |||||||
\(332\) | 1.47178 | − | 8.34689i | 0.0807745 | − | 0.458095i | ||||
\(333\) | 0.495252 | − | 2.80872i | 0.0271397 | − | 0.153917i | ||||
\(334\) | 1.59627 | + | 2.76481i | 0.0873438 | + | 0.151284i | ||||
\(335\) | 4.95811 | − | 8.58770i | 0.270891 | − | 0.469196i | ||||
\(336\) | 3.16250 | + | 2.65366i | 0.172529 | + | 0.144769i | ||||
\(337\) | −19.0856 | − | 6.94659i | −1.03966 | − | 0.378405i | −0.234908 | − | 0.972018i | \(-0.575479\pi\) |
−0.804751 | + | 0.593613i | \(0.797701\pi\) | |||||||
\(338\) | −18.9474 | + | 6.89630i | −1.03060 | + | 0.375109i | ||||
\(339\) | 3.35638 | − | 2.81634i | 0.182294 | − | 0.152963i | ||||
\(340\) | −2.26352 | − | 12.8370i | −0.122757 | − | 0.696187i | ||||
\(341\) | 7.81345 | 0.423122 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.1593 | −0.980511 | ||||||||
\(344\) | 1.05303 | + | 5.97205i | 0.0567758 | + | 0.321991i | ||||
\(345\) | −1.63041 | + | 1.36808i | −0.0877786 | + | 0.0736550i | ||||
\(346\) | −9.04963 | + | 3.29380i | −0.486511 | + | 0.177076i | ||||
\(347\) | −4.90033 | − | 1.78357i | −0.263063 | − | 0.0957473i | 0.207121 | − | 0.978315i | \(-0.433591\pi\) |
−0.470185 | + | 0.882568i | \(0.655813\pi\) | |||||||
\(348\) | −3.31315 | − | 2.78006i | −0.177603 | − | 0.149027i | ||||
\(349\) | −7.17024 | + | 12.4192i | −0.383814 | + | 0.664786i | −0.991604 | − | 0.129312i | \(-0.958723\pi\) |
0.607790 | + | 0.794098i | \(0.292056\pi\) | |||||||
\(350\) | 1.34730 | + | 2.33359i | 0.0720160 | + | 0.124735i | ||||
\(351\) | 5.59627 | − | 31.7380i | 0.298707 | − | 1.69405i | ||||
\(352\) | 0.553033 | − | 3.13641i | 0.0294768 | − | 0.167171i | ||||
\(353\) | −13.1250 | − | 22.7331i | −0.698571 | − | 1.20996i | −0.968962 | − | 0.247209i | \(-0.920486\pi\) |
0.270391 | − | 0.962750i | \(-0.412847\pi\) | |||||||
\(354\) | −0.439693 | + | 0.761570i | −0.0233694 | + | 0.0404770i | ||||
\(355\) | −12.9513 | − | 10.8674i | −0.687384 | − | 0.576784i | ||||
\(356\) | −7.27244 | − | 2.64695i | −0.385439 | − | 0.140288i | ||||
\(357\) | 25.2841 | − | 9.20264i | 1.33817 | − | 0.487055i | ||||
\(358\) | 14.4140 | − | 12.0948i | 0.761804 | − | 0.639229i | ||||
\(359\) | −5.85029 | − | 33.1786i | −0.308766 | − | 1.75110i | −0.605224 | − | 0.796055i | \(-0.706916\pi\) |
0.296457 | − | 0.955046i | \(-0.404195\pi\) | |||||||
\(360\) | −1.30541 | −0.0688010 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 2.77837 | 0.146028 | ||||||||
\(363\) | −0.228026 | − | 1.29320i | −0.0119682 | − | 0.0678753i | ||||
\(364\) | −11.8871 | + | 9.97448i | −0.623055 | + | 0.522805i | ||||
\(365\) | −29.6313 | + | 10.7849i | −1.55098 | + | 0.564509i | ||||
\(366\) | −4.22668 | − | 1.53839i | −0.220932 | − | 0.0804127i | ||||
\(367\) | −8.01960 | − | 6.72924i | −0.418620 | − | 0.351264i | 0.409018 | − | 0.912526i | \(-0.365871\pi\) |
−0.827638 | + | 0.561263i | \(0.810316\pi\) | |||||||
\(368\) | 0.347296 | − | 0.601535i | 0.0181041 | − | 0.0313572i | ||||
\(369\) | −0.113341 | − | 0.196312i | −0.00590029 | − | 0.0102196i | ||||
\(370\) | −1.51754 | + | 8.60640i | −0.0788932 | + | 0.447426i | ||||
\(371\) | 3.84255 | − | 21.7922i | 0.199495 | − | 1.13139i | ||||
\(372\) | −1.87939 | − | 3.25519i | −0.0974416 | − | 0.168774i | ||||
\(373\) | −11.9513 | + | 20.7003i | −0.618815 | + | 1.07182i | 0.370887 | + | 0.928678i | \(0.379054\pi\) |
−0.989702 | + | 0.143141i | \(0.954280\pi\) | |||||||
\(374\) | −15.9008 | − | 13.3424i | −0.822211 | − | 0.689917i | ||||
\(375\) | 17.2763 | + | 6.28806i | 0.892145 | + | 0.324714i | ||||
\(376\) | −7.41147 | + | 2.69756i | −0.382218 | + | 0.139116i | ||||
\(377\) | 12.4534 | − | 10.4496i | 0.641381 | − | 0.538182i | ||||
\(378\) | −2.61856 | − | 14.8506i | −0.134684 | − | 0.763831i | ||||
\(379\) | 17.8135 | 0.915016 | 0.457508 | − | 0.889206i | \(-0.348742\pi\) | ||||
0.457508 | + | 0.889206i | \(0.348742\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 14.9067 | 0.763695 | ||||||||
\(382\) | 1.66044 | + | 9.41685i | 0.0849557 | + | 0.481808i | ||||
\(383\) | 19.2121 | − | 16.1209i | 0.981694 | − | 0.823739i | −0.00264996 | − | 0.999996i | \(-0.500844\pi\) |
0.984344 | + | 0.176257i | \(0.0563991\pi\) | |||||||
\(384\) | −1.43969 | + | 0.524005i | −0.0734690 | + | 0.0267405i | ||||
\(385\) | −16.1284 | − | 5.87024i | −0.821977 | − | 0.299175i | ||||
\(386\) | −18.1407 | − | 15.2218i | −0.923336 | − | 0.774771i | ||||
\(387\) | 1.97906 | − | 3.42782i | 0.100601 | − | 0.174246i | ||||
\(388\) | 0.173648 | + | 0.300767i | 0.00881565 | + | 0.0152692i | ||||
\(389\) | −1.63547 | + | 9.27520i | −0.0829215 | + | 0.470271i | 0.914864 | + | 0.403761i | \(0.132297\pi\) |
−0.997786 | + | 0.0665097i | \(0.978814\pi\) | |||||||
\(390\) | −3.06418 | + | 17.3778i | −0.155161 | + | 0.879960i | ||||
\(391\) | −2.26352 | − | 3.92053i | −0.114471 | − | 0.198270i | ||||
\(392\) | −0.130415 | + | 0.225885i | −0.00658695 | + | 0.0114089i | ||||
\(393\) | −7.59105 | − | 6.36965i | −0.382918 | − | 0.321306i | ||||
\(394\) | 21.5398 | + | 7.83986i | 1.08516 | + | 0.394966i | ||||
\(395\) | 17.0351 | − | 6.20026i | 0.857128 | − | 0.311969i | ||||
\(396\) | −1.59240 | + | 1.33618i | −0.0800209 | + | 0.0671455i | ||||
\(397\) | 1.18984 | + | 6.74795i | 0.0597166 | + | 0.338670i | 0.999999 | − | 0.00172704i | \(-0.000549734\pi\) |
−0.940282 | + | 0.340397i | \(0.889439\pi\) | |||||||
\(398\) | 10.0838 | 0.505454 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | 0.824292 | + | 4.67479i | 0.0411632 | + | 0.233448i | 0.998448 | − | 0.0557001i | \(-0.0177391\pi\) |
−0.957284 | + | 0.289148i | \(0.906628\pi\) | |||||||
\(402\) | −5.81908 | + | 4.88279i | −0.290229 | + | 0.243531i | ||||
\(403\) | 13.2763 | − | 4.83218i | 0.661340 | − | 0.240708i | ||||
\(404\) | 0.347296 | + | 0.126406i | 0.0172786 | + | 0.00628891i | ||||
\(405\) | −10.1361 | − | 8.50519i | −0.503667 | − | 0.422627i | ||||
\(406\) | 3.80335 | − | 6.58759i | 0.188757 | − | 0.326937i | ||||
\(407\) | 6.95811 | + | 12.0518i | 0.344901 | + | 0.597386i | ||||
\(408\) | −1.73396 | + | 9.83375i | −0.0858436 | + | 0.486843i | ||||
\(409\) | 5.50340 | − | 31.2114i | 0.272126 | − | 1.54330i | −0.475820 | − | 0.879543i | \(-0.657849\pi\) |
0.747946 | − | 0.663760i | \(-0.231040\pi\) | |||||||
\(410\) | 0.347296 | + | 0.601535i | 0.0171517 | + | 0.0297077i | ||||
\(411\) | 8.93242 | − | 15.4714i | 0.440604 | − | 0.763148i | ||||
\(412\) | 6.57398 | + | 5.51622i | 0.323877 | + | 0.271765i | ||||
\(413\) | −1.45336 | − | 0.528981i | −0.0715153 | − | 0.0260295i | ||||
\(414\) | −0.426022 | + | 0.155059i | −0.0209378 | + | 0.00762075i | ||||
\(415\) | 12.9855 | − | 10.8961i | 0.637431 | − | 0.534868i | ||||
\(416\) | −1.00000 | − | 5.67128i | −0.0490290 | − | 0.278057i | ||||
\(417\) | −12.6604 | −0.619985 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −11.0101 | −0.537879 | −0.268939 | − | 0.963157i | \(-0.586673\pi\) | ||||
−0.268939 | + | 0.963157i | \(0.586673\pi\) | |||||||
\(420\) | 1.43376 | + | 8.13127i | 0.0699605 | + | 0.396766i | ||||
\(421\) | −6.63816 | + | 5.57007i | −0.323524 | + | 0.271469i | −0.790055 | − | 0.613036i | \(-0.789948\pi\) |
0.466531 | + | 0.884505i | \(0.345504\pi\) | |||||||
\(422\) | 21.0116 | − | 7.64760i | 1.02283 | − | 0.372279i | ||||
\(423\) | 4.83750 | + | 1.76070i | 0.235207 | + | 0.0856084i | ||||
\(424\) | 6.29086 | + | 5.27866i | 0.305511 | + | 0.256354i | ||||
\(425\) | −3.25877 | + | 5.64436i | −0.158074 | + | 0.273791i | ||||
\(426\) | 6.47565 | + | 11.2162i | 0.313746 | + | 0.543425i | ||||
\(427\) | 1.37370 | − | 7.79066i | 0.0664782 | − | 0.377017i | ||||
\(428\) | −1.98886 | + | 11.2794i | −0.0961350 | + | 0.545208i | ||||
\(429\) | 14.0496 | + | 24.3347i | 0.678323 | + | 1.17489i | ||||
\(430\) | −6.06418 | + | 10.5035i | −0.292441 | + | 0.506522i | ||||
\(431\) | −22.8949 | − | 19.2111i | −1.10281 | − | 0.925365i | −0.105196 | − | 0.994451i | \(-0.533547\pi\) |
−0.997611 | + | 0.0690866i | \(0.977992\pi\) | |||||||
\(432\) | 5.25877 | + | 1.91404i | 0.253013 | + | 0.0920891i | ||||
\(433\) | −8.70233 | + | 3.16739i | −0.418207 | + | 0.152215i | −0.542549 | − | 0.840024i | \(-0.682541\pi\) |
0.124341 | + | 0.992240i | \(0.460318\pi\) | |||||||
\(434\) | 5.06418 | − | 4.24935i | 0.243088 | − | 0.203975i | ||||
\(435\) | −1.50206 | − | 8.51860i | −0.0720182 | − | 0.408436i | ||||
\(436\) | 8.69459 | 0.416395 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 24.1557 | 1.15420 | ||||||||
\(439\) | 3.62267 | + | 20.5452i | 0.172901 | + | 0.980569i | 0.940539 | + | 0.339686i | \(0.110321\pi\) |
−0.767638 | + | 0.640883i | \(0.778568\pi\) | |||||||
\(440\) | 4.87939 | − | 4.09429i | 0.232616 | − | 0.195188i | ||||
\(441\) | 0.159978 | − | 0.0582271i | 0.00761798 | − | 0.00277272i | ||||
\(442\) | −35.2695 | − | 12.8370i | −1.67760 | − | 0.610596i | ||||
\(443\) | 18.2533 | + | 15.3163i | 0.867241 | + | 0.727701i | 0.963515 | − | 0.267653i | \(-0.0862482\pi\) |
−0.0962745 | + | 0.995355i | \(0.530693\pi\) | |||||||
\(444\) | 3.34730 | − | 5.79769i | 0.158856 | − | 0.275146i | ||||
\(445\) | −7.73917 | − | 13.4046i | −0.366872 | − | 0.635441i | ||||
\(446\) | −1.61081 | + | 9.13538i | −0.0762743 | + | 0.432573i | ||||
\(447\) | −4.37733 | + | 24.8250i | −0.207040 | + | 1.17418i | ||||
\(448\) | −1.34730 | − | 2.33359i | −0.0636538 | − | 0.110252i | ||||
\(449\) | 1.09105 | − | 1.88976i | 0.0514899 | − | 0.0891832i | −0.839132 | − | 0.543928i | \(-0.816936\pi\) |
0.890622 | + | 0.454745i | \(0.150270\pi\) | |||||||
\(450\) | 0.500000 | + | 0.419550i | 0.0235702 | + | 0.0197778i | ||||
\(451\) | 1.03936 | + | 0.378297i | 0.0489417 | + | 0.0178133i | ||||
\(452\) | −2.68732 | + | 0.978104i | −0.126401 | + | 0.0460061i | ||||
\(453\) | 5.46379 | − | 4.58467i | 0.256711 | − | 0.215406i | ||||
\(454\) | 1.34343 | + | 7.61895i | 0.0630501 | + | 0.357575i | ||||
\(455\) | −31.0351 | −1.45495 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.78106 | 0.0833144 | 0.0416572 | − | 0.999132i | \(-0.486736\pi\) | ||||
0.0416572 | + | 0.999132i | \(0.486736\pi\) | |||||||
\(458\) | −4.00000 | − | 22.6851i | −0.186908 | − | 1.06001i | ||||
\(459\) | 27.9406 | − | 23.4450i | 1.30416 | − | 1.09432i | ||||
\(460\) | 1.30541 | − | 0.475129i | 0.0608649 | − | 0.0221530i | ||||
\(461\) | 14.5544 | + | 5.29736i | 0.677865 | + | 0.246723i | 0.657931 | − | 0.753079i | \(-0.271432\pi\) |
0.0199344 | + | 0.999801i | \(0.493654\pi\) | |||||||
\(462\) | 10.0719 | + | 8.45134i | 0.468588 | + | 0.393192i | ||||
\(463\) | 1.35504 | − | 2.34699i | 0.0629739 | − | 0.109074i | −0.832820 | − | 0.553545i | \(-0.813275\pi\) |
0.895793 | + | 0.444471i | \(0.146608\pi\) | |||||||
\(464\) | 1.41147 | + | 2.44474i | 0.0655260 | + | 0.113494i | ||||
\(465\) | 1.30541 | − | 7.40333i | 0.0605368 | − | 0.343321i | ||||
\(466\) | 1.45858 | − | 8.27201i | 0.0675673 | − | 0.383193i | ||||
\(467\) | −6.45677 | − | 11.1834i | −0.298784 | − | 0.517508i | 0.677074 | − | 0.735915i | \(-0.263248\pi\) |
−0.975858 | + | 0.218406i | \(0.929914\pi\) | |||||||
\(468\) | −1.87939 | + | 3.25519i | −0.0868746 | + | 0.150471i | ||||
\(469\) | −10.2344 | − | 8.58770i | −0.472582 | − | 0.396543i | ||||
\(470\) | −14.8229 | − | 5.39511i | −0.683732 | − | 0.248858i | ||||
\(471\) | −12.1702 | + | 4.42961i | −0.560775 | + | 0.204106i | ||||
\(472\) | 0.439693 | − | 0.368946i | 0.0202385 | − | 0.0169821i | ||||
\(473\) | 3.35369 | + | 19.0197i | 0.154203 | + | 0.874528i | ||||
\(474\) | −13.8871 | −0.637857 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −17.5621 | −0.804958 | ||||||||
\(477\) | −0.930770 | − | 5.27866i | −0.0426170 | − | 0.241693i | ||||
\(478\) | −12.0496 | + | 10.1108i | −0.551137 | + | 0.462459i | ||||
\(479\) | 17.4338 | − | 6.34537i | 0.796569 | − | 0.289927i | 0.0885050 | − | 0.996076i | \(-0.471791\pi\) |
0.708064 | + | 0.706148i | \(0.249569\pi\) | |||||||
\(480\) | −2.87939 | − | 1.04801i | −0.131425 | − | 0.0478349i | ||||
\(481\) | 19.2763 | + | 16.1747i | 0.878924 | + | 0.737505i | ||||
\(482\) | −8.75150 | + | 15.1580i | −0.398620 | + | 0.690430i | ||||
\(483\) | 1.43376 | + | 2.48335i | 0.0652385 | + | 0.112996i | ||||
\(484\) | −0.148833 | + | 0.844075i | −0.00676515 | + | 0.0383671i | ||||
\(485\) | −0.120615 | + | 0.684040i | −0.00547683 | + | 0.0310607i | ||||
\(486\) | −3.32635 | − | 5.76141i | −0.150886 | − | 0.261343i | ||||
\(487\) | −20.5868 | + | 35.6573i | −0.932876 | + | 1.61579i | −0.154497 | + | 0.987993i | \(0.549376\pi\) |
−0.778379 | + | 0.627795i | \(0.783958\pi\) | |||||||
\(488\) | 2.24897 | + | 1.88711i | 0.101806 | + | 0.0854255i | ||||
\(489\) | −24.5462 | − | 8.93410i | −1.11002 | − | 0.404014i | ||||
\(490\) | −0.490200 | + | 0.178418i | −0.0221450 | + | 0.00806011i | ||||
\(491\) | −17.2954 | + | 14.5126i | −0.780533 | + | 0.654945i | −0.943383 | − | 0.331706i | \(-0.892376\pi\) |
0.162850 | + | 0.986651i | \(0.447931\pi\) | |||||||
\(492\) | −0.0923963 | − | 0.524005i | −0.00416555 | − | 0.0236240i | ||||
\(493\) | 18.3987 | 0.828635 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.15745 | −0.186864 | ||||||||
\(496\) | 0.426022 | + | 2.41609i | 0.0191290 | + | 0.108486i | ||||
\(497\) | −17.4492 | + | 14.6417i | −0.782706 | + | 0.656768i | ||||
\(498\) | −12.2023 | + | 4.44129i | −0.546800 | + | 0.199019i | ||||
\(499\) | 27.5599 | + | 10.0310i | 1.23375 | + | 0.449048i | 0.874880 | − | 0.484339i | \(-0.160940\pi\) |
0.358870 | + | 0.933388i | \(0.383162\pi\) | |||||||
\(500\) | −9.19253 | − | 7.71345i | −0.411103 | − | 0.344956i | ||||
\(501\) | 2.44562 | − | 4.23594i | 0.109262 | − | 0.189248i | ||||
\(502\) | −4.28359 | − | 7.41939i | −0.191186 | − | 0.331143i | ||||
\(503\) | 5.83750 | − | 33.1061i | 0.260281 | − | 1.47613i | −0.521863 | − | 0.853029i | \(-0.674763\pi\) |
0.782144 | − | 0.623098i | \(-0.214126\pi\) | |||||||
\(504\) | −0.305407 | + | 1.73205i | −0.0136039 | + | 0.0771517i | ||||
\(505\) | 0.369585 | + | 0.640140i | 0.0164463 | + | 0.0284859i | ||||
\(506\) | 1.10607 | − | 1.91576i | 0.0491707 | − | 0.0851661i | ||||
\(507\) | 23.6648 | + | 19.8571i | 1.05099 | + | 0.881885i | ||||
\(508\) | −9.14290 | − | 3.32774i | −0.405651 | − | 0.147645i | ||||
\(509\) | −3.78611 | + | 1.37803i | −0.167816 | + | 0.0610802i | −0.424562 | − | 0.905399i | \(-0.639572\pi\) |
0.256746 | + | 0.966479i | \(0.417350\pi\) | |||||||
\(510\) | −15.2986 | + | 12.8370i | −0.677433 | + | 0.568434i | ||||
\(511\) | 7.37733 | + | 41.8389i | 0.326354 | + | 1.85084i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.02465 | −0.353952 | ||||||||
\(515\) | 2.98040 | + | 16.9027i | 0.131332 | + | 0.744821i | ||||
\(516\) | 7.11721 | − | 5.97205i | 0.313318 | − | 0.262905i | ||||
\(517\) | −23.6040 | + | 8.59116i | −1.03810 | + | 0.377839i | ||||
\(518\) | 11.0642 | + | 4.02703i | 0.486132 | + | 0.176938i | ||||
\(519\) | 11.3027 | + | 9.48411i | 0.496134 | + | 0.416306i | ||||
\(520\) | 5.75877 | − | 9.97448i | 0.252539 | − | 0.437410i | ||||
\(521\) | −2.49479 | − | 4.32110i | −0.109299 | − | 0.189311i | 0.806188 | − | 0.591660i | \(-0.201527\pi\) |
−0.915486 | + | 0.402349i | \(0.868194\pi\) | |||||||
\(522\) | 0.319955 | − | 1.81456i | 0.0140041 | − | 0.0794210i | ||||
\(523\) | −4.61081 | + | 26.1492i | −0.201617 | + | 1.14343i | 0.701059 | + | 0.713104i | \(0.252711\pi\) |
−0.902675 | + | 0.430322i | \(0.858400\pi\) | |||||||
\(524\) | 3.23396 | + | 5.60138i | 0.141276 | + | 0.244697i | ||||
\(525\) | 2.06418 | − | 3.57526i | 0.0900881 | − | 0.156037i | ||||
\(526\) | −4.56624 | − | 3.83153i | −0.199097 | − | 0.167063i | ||||
\(527\) | 15.0256 | + | 5.46887i | 0.654525 | + | 0.238228i | ||||
\(528\) | −4.58512 | + | 1.66885i | −0.199542 | + | 0.0726273i | ||||
\(529\) | −17.2494 | + | 14.4740i | −0.749976 | + | 0.629304i | ||||
\(530\) | 2.85204 | + | 16.1747i | 0.123885 | + | 0.702586i | ||||
\(531\) | −0.374638 | −0.0162579 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | 2.05896 | + | 11.6770i | 0.0891001 | + | 0.505312i | ||||
\(535\) | −17.5476 | + | 14.7242i | −0.758648 | + | 0.636581i | ||||
\(536\) | 4.65910 | − | 1.69577i | 0.201242 | − | 0.0732463i | ||||
\(537\) | −27.0895 | − | 9.85976i | −1.16900 | − | 0.425480i | ||||
\(538\) | −0.879385 | − | 0.737892i | −0.0379130 | − | 0.0318128i | ||||
\(539\) | −0.415345 | + | 0.719398i | −0.0178902 | + | 0.0309867i | ||||
\(540\) | 5.59627 | + | 9.69302i | 0.240825 | + | 0.417121i | ||||
\(541\) | −2.07873 | + | 11.7890i | −0.0893714 | + | 0.506850i | 0.906956 | + | 0.421225i | \(0.138400\pi\) |
−0.996327 | + | 0.0856251i | \(0.972711\pi\) | |||||||
\(542\) | 3.48246 | − | 19.7500i | 0.149584 | − | 0.848335i | ||||
\(543\) | −2.12836 | − | 3.68642i | −0.0913365 | − | 0.158199i | ||||
\(544\) | 3.25877 | − | 5.64436i | 0.139719 | − | 0.242000i | ||||
\(545\) | 13.3209 | + | 11.1776i | 0.570604 | + | 0.478794i | ||||
\(546\) | 22.3405 | + | 8.13127i | 0.956085 | + | 0.347986i | ||||
\(547\) | −3.00387 | + | 1.09332i | −0.128436 | + | 0.0467470i | −0.405439 | − | 0.914122i | \(-0.632881\pi\) |
0.277002 | + | 0.960869i | \(0.410659\pi\) | |||||||
\(548\) | −8.93242 | + | 7.49519i | −0.381574 | + | 0.320179i | ||||
\(549\) | −0.332748 | − | 1.88711i | −0.0142014 | − | 0.0805399i | ||||
\(550\) | −3.18479 | −0.135800 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.06418 | −0.0452944 | ||||||||
\(553\) | −4.24123 | − | 24.0532i | −0.180355 | − | 1.02285i | ||||
\(554\) | 13.2986 | − | 11.1589i | 0.565003 | − | 0.474094i | ||||
\(555\) | 12.5817 | − | 4.57937i | 0.534064 | − | 0.194383i | ||||
\(556\) | 7.76517 | + | 2.82629i | 0.329316 | + | 0.119861i | ||||
\(557\) | −18.3669 | − | 15.4117i | −0.778230 | − | 0.653013i | 0.164572 | − | 0.986365i | \(-0.447376\pi\) |
−0.942802 | + | 0.333352i | \(0.891820\pi\) | |||||||
\(558\) | 0.800660 | − | 1.38678i | 0.0338946 | − | 0.0587072i | ||||
\(559\) | 17.4611 | + | 30.2435i | 0.738526 | + | 1.27916i | ||||
\(560\) | 0.935822 | − | 5.30731i | 0.0395457 | − | 0.224275i | ||||
\(561\) | −5.52229 | + | 31.3185i | −0.233151 | + | 1.32227i | ||||
\(562\) | −1.46064 | − | 2.52990i | −0.0616133 | − | 0.106717i | ||||
\(563\) | 4.37851 | − | 7.58380i | 0.184532 | − | 0.319619i | −0.758887 | − | 0.651223i | \(-0.774256\pi\) |
0.943419 | + | 0.331604i | \(0.107590\pi\) | |||||||
\(564\) | 9.25671 | + | 7.76730i | 0.389778 | + | 0.327062i | ||||
\(565\) | −5.37464 | − | 1.95621i | −0.226113 | − | 0.0822983i | ||||
\(566\) | 8.90895 | − | 3.24259i | 0.374471 | − | 0.136296i | ||||
\(567\) | −13.6563 | + | 11.4590i | −0.573512 | + | 0.481234i | ||||
\(568\) | −1.46791 | − | 8.32494i | −0.0615922 | − | 0.349307i | ||||
\(569\) | −36.4201 | −1.52681 | −0.763406 | − | 0.645919i | \(-0.776474\pi\) | ||||
−0.763406 | + | 0.645919i | \(0.776474\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.2131 | 1.43177 | 0.715886 | − | 0.698217i | \(-0.246023\pi\) | ||||
0.715886 | + | 0.698217i | \(0.246023\pi\) | |||||||
\(572\) | −3.18479 | − | 18.0619i | −0.133163 | − | 0.755204i | ||||
\(573\) | 11.2226 | − | 9.41685i | 0.468829 | − | 0.393394i | ||||
\(574\) | 0.879385 | − | 0.320070i | 0.0367048 | − | 0.0133595i | ||||
\(575\) | −0.652704 | − | 0.237565i | −0.0272196 | − | 0.00990713i | ||||
\(576\) | −0.500000 | − | 0.419550i | −0.0208333 | − | 0.0174812i | ||||
\(577\) | −7.75490 | + | 13.4319i | −0.322841 | + | 0.559177i | −0.981073 | − | 0.193638i | \(-0.937971\pi\) |
0.658232 | + | 0.752815i | \(0.271304\pi\) | |||||||
\(578\) | −12.7392 | − | 22.0649i | −0.529880 | − | 0.917778i | ||||
\(579\) | −6.30019 | + | 35.7302i | −0.261827 | + | 1.48490i | ||||
\(580\) | −0.980400 | + | 5.56012i | −0.0407089 | + | 0.230872i | ||||
\(581\) | −11.4192 | − | 19.7787i | −0.473749 | − | 0.820557i | ||||
\(582\) | 0.266044 | − | 0.460802i | 0.0110279 | − | 0.0191009i | ||||
\(583\) | 20.0351 | + | 16.8114i | 0.829768 | + | 0.696258i | ||||
\(584\) | −14.8157 | − | 5.39246i | −0.613077 | − | 0.223142i | ||||
\(585\) | −7.06418 | + | 2.57115i | −0.292068 | + | 0.106304i | ||||
\(586\) | −20.9067 | + | 17.5428i | −0.863649 | + | 0.724687i | ||||
\(587\) | −2.01114 | − | 11.4058i | −0.0830088 | − | 0.470766i | −0.997769 | − | 0.0667680i | \(-0.978731\pi\) |
0.914760 | − | 0.403998i | \(-0.132380\pi\) | |||||||
\(588\) | 0.399615 | 0.0164798 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.14796 | 0.0472606 | ||||||||
\(591\) | −6.09833 | − | 34.5853i | −0.250852 | − | 1.42265i | ||||
\(592\) | −3.34730 | + | 2.80872i | −0.137573 | + | 0.115437i | ||||
\(593\) | 43.5950 | − | 15.8673i | 1.79023 | − | 0.651591i | 0.791024 | − | 0.611785i | \(-0.209548\pi\) |
0.999207 | − | 0.0398054i | \(-0.0126738\pi\) | |||||||
\(594\) | 16.7481 | + | 6.09581i | 0.687183 | + | 0.250114i | ||||
\(595\) | −26.9067 | − | 22.5774i | −1.10307 | − | 0.925584i | ||||
\(596\) | 8.22668 | − | 14.2490i | 0.336978 | − | 0.583663i | ||||
\(597\) | −7.72462 | − | 13.3794i | −0.316148 | − | 0.547584i | ||||
\(598\) | 0.694593 | − | 3.93923i | 0.0284040 | − | 0.161087i | ||||
\(599\) | 4.45100 | − | 25.2429i | 0.181863 | − | 1.03140i | −0.748057 | − | 0.663634i | \(-0.769013\pi\) |
0.929920 | − | 0.367762i | \(-0.119876\pi\) | |||||||
\(600\) | 0.766044 | + | 1.32683i | 0.0312736 | + | 0.0541675i | ||||
\(601\) | −3.99613 | + | 6.92150i | −0.163006 | + | 0.282334i | −0.935945 | − | 0.352146i | \(-0.885452\pi\) |
0.772940 | + | 0.634480i | \(0.218786\pi\) | |||||||
\(602\) | 12.5175 | + | 10.5035i | 0.510177 | + | 0.428089i | ||||
\(603\) | −3.04101 | − | 1.10684i | −0.123840 | − | 0.0450739i | ||||
\(604\) | −4.37464 | + | 1.59224i | −0.178001 | + | 0.0647872i | ||||
\(605\) | −1.31315 | + | 1.10186i | −0.0533871 | + | 0.0447971i | ||||
\(606\) | −0.0983261 | − | 0.557635i | −0.00399422 | − | 0.0226524i | ||||
\(607\) | −26.9905 | −1.09551 | −0.547755 | − | 0.836639i | \(-0.684518\pi\) | ||||
−0.547755 | + | 0.836639i | \(0.684518\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −11.6541 | −0.472249 | ||||||||
\(610\) | 1.01960 | + | 5.78244i | 0.0412824 | + | 0.234124i | ||||
\(611\) | −34.7939 | + | 29.1955i | −1.40761 | + | 1.18112i | ||||
\(612\) | −3.99747 | + | 1.45496i | −0.161588 | + | 0.0588133i | ||||
\(613\) | 13.3919 | + | 4.87424i | 0.540893 | + | 0.196869i | 0.597995 | − | 0.801499i | \(-0.295964\pi\) |
−0.0571028 | + | 0.998368i | \(0.518186\pi\) | |||||||
\(614\) | 16.3387 | + | 13.7098i | 0.659375 | + | 0.553282i | ||||
\(615\) | 0.532089 | − | 0.921605i | 0.0214559 | − | 0.0371627i | ||||
\(616\) | −4.29086 | − | 7.43199i | −0.172884 | − | 0.299443i | ||||
\(617\) | −5.30675 | + | 30.0961i | −0.213642 | + | 1.21162i | 0.669606 | + | 0.742716i | \(0.266463\pi\) |
−0.883248 | + | 0.468906i | \(0.844648\pi\) | |||||||
\(618\) | 2.28312 | − | 12.9482i | 0.0918405 | − | 0.520853i | ||||
\(619\) | 14.3375 | + | 24.8333i | 0.576273 | + | 0.998133i | 0.995902 | + | 0.0904380i | \(0.0288267\pi\) |
−0.419629 | + | 0.907695i | \(0.637840\pi\) | |||||||
\(620\) | −2.45336 | + | 4.24935i | −0.0985294 | + | 0.170658i | ||||
\(621\) | 2.97771 | + | 2.49860i | 0.119491 | + | 0.100265i | ||||
\(622\) | 27.5253 | + | 10.0184i | 1.10366 | + | 0.401701i | ||||
\(623\) | −19.5963 | + | 7.13246i | −0.785108 | + | 0.285756i | ||||
\(624\) | −6.75877 | + | 5.67128i | −0.270567 | + | 0.227033i | ||||
\(625\) | −3.29932 | − | 18.7113i | −0.131973 | − | 0.748454i | ||||
\(626\) | 5.56118 | 0.222270 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.45336 | 0.337326 | ||||||||
\(629\) | 4.94532 | + | 28.0463i | 0.197183 | + | 1.11828i | ||||
\(630\) | −2.69459 | + | 2.26103i | −0.107355 | + | 0.0900817i | ||||
\(631\) | 4.22668 | − | 1.53839i | 0.168262 | − | 0.0612422i | −0.256516 | − | 0.966540i | \(-0.582575\pi\) |
0.424777 | + | 0.905298i | \(0.360352\pi\) | |||||||
\(632\) | 8.51754 | + | 3.10013i | 0.338810 | + | 0.123317i | ||||
\(633\) | −26.2429 | − | 22.0204i | −1.04306 | − | 0.875232i | ||||
\(634\) | −1.90167 | + | 3.29380i | −0.0755251 | + | 0.130813i | ||||
\(635\) | −9.72967 | − | 16.8523i | −0.386110 | − | 0.668763i | ||||
\(636\) | 2.18479 | − | 12.3906i | 0.0866327 | − | 0.491318i | ||||
\(637\) | −0.260830 | + | 1.47924i | −0.0103345 | + | 0.0586096i | ||||
\(638\) | 4.49525 | + | 7.78601i | 0.177969 | + | 0.308251i | ||||
\(639\) | −2.75877 | + | 4.77833i | −0.109135 | + | 0.189028i | ||||
\(640\) | 1.53209 | + | 1.28558i | 0.0605611 | + | 0.0508168i | ||||
\(641\) | 10.9081 | + | 3.97021i | 0.430843 | + | 0.156814i | 0.548333 | − | 0.836260i | \(-0.315263\pi\) |
−0.117490 | + | 0.993074i | \(0.537485\pi\) | |||||||
\(642\) | 16.4893 | − | 6.00162i | 0.650782 | − | 0.236865i | ||||
\(643\) | 19.9520 | − | 16.7417i | 0.786831 | − | 0.660229i | −0.158128 | − | 0.987419i | \(-0.550546\pi\) |
0.944959 | + | 0.327189i | \(0.106101\pi\) | |||||||
\(644\) | −0.325008 | − | 1.84321i | −0.0128071 | − | 0.0726326i | ||||
\(645\) | 18.5817 | 0.731654 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.31490 | −0.0910082 | −0.0455041 | − | 0.998964i | \(-0.514489\pi\) | ||||
−0.0455041 | + | 0.998964i | \(0.514489\pi\) | |||||||
\(648\) | −1.14883 | − | 6.51536i | −0.0451304 | − | 0.255947i | ||||
\(649\) | 1.40033 | − | 1.17502i | 0.0549678 | − | 0.0461234i | ||||
\(650\) | −5.41147 | + | 1.96962i | −0.212255 | + | 0.0772547i | ||||
\(651\) | −9.51754 | − | 3.46410i | −0.373022 | − | 0.135769i | ||||
\(652\) | 13.0608 | + | 10.9593i | 0.511499 | + | 0.429199i | ||||
\(653\) | −1.65270 | + | 2.86257i | −0.0646753 | + | 0.112021i | −0.896550 | − | 0.442943i | \(-0.853934\pi\) |
0.831875 | + | 0.554964i | \(0.187268\pi\) | |||||||
\(654\) | −6.66044 | − | 11.5362i | −0.260444 | − | 0.451102i | ||||
\(655\) | −2.24628 | + | 12.7393i | −0.0877695 | + | 0.497766i | ||||
\(656\) | −0.0603074 | + | 0.342020i | −0.00235461 | + | 0.0133536i | ||||
\(657\) | 5.14543 | + | 8.91215i | 0.200742 | + | 0.347696i | ||||
\(658\) | −10.6263 | + | 18.4053i | −0.414256 | + | 0.717513i | ||||
\(659\) | −10.5326 | − | 8.83786i | −0.410290 | − | 0.344274i | 0.414165 | − | 0.910202i | \(-0.364074\pi\) |
−0.824455 | + | 0.565928i | \(0.808518\pi\) | |||||||
\(660\) | −9.17024 | − | 3.33770i | −0.356951 | − | 0.129920i | ||||
\(661\) | 3.13341 | − | 1.14047i | 0.121875 | − | 0.0443590i | −0.280363 | − | 0.959894i | \(-0.590455\pi\) |
0.402238 | + | 0.915535i | \(0.368232\pi\) | |||||||
\(662\) | 15.6441 | − | 13.1269i | 0.608025 | − | 0.510193i | ||||
\(663\) | 9.98545 | + | 56.6303i | 0.387803 | + | 2.19934i | ||||
\(664\) | 8.47565 | 0.328919 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.85204 | 0.110514 | ||||||||
\(667\) | 0.340489 | + | 1.93101i | 0.0131838 | + | 0.0747690i | ||||
\(668\) | −2.44562 | + | 2.05212i | −0.0946240 | + | 0.0793989i | ||||
\(669\) | 13.3550 | − | 4.86084i | 0.516336 | − | 0.187931i | ||||
\(670\) | 9.31820 | + | 3.39155i | 0.359993 | + | 0.131027i | ||||
\(671\) | 7.16250 | + | 6.01005i | 0.276505 | + | 0.232016i | ||||
\(672\) | −2.06418 | + | 3.57526i | −0.0796274 | + | 0.137919i | ||||
\(673\) | −19.4905 | − | 33.7585i | −0.751304 | − | 1.30130i | −0.947191 | − | 0.320670i | \(-0.896092\pi\) |
0.195887 | − | 0.980626i | \(-0.437241\pi\) | |||||||
\(674\) | 3.52687 | − | 20.0019i | 0.135850 | − | 0.770444i | ||||
\(675\) | 0.971782 | − | 5.51125i | 0.0374039 | − | 0.212128i | ||||
\(676\) | −10.0817 | − | 17.4620i | −0.387758 | − | 0.671617i | ||||
\(677\) | 21.7939 | − | 37.7481i | 0.837606 | − | 1.45078i | −0.0542853 | − | 0.998525i | \(-0.517288\pi\) |
0.891891 | − | 0.452250i | \(-0.149379\pi\) | |||||||
\(678\) | 3.35638 | + | 2.81634i | 0.128901 | + | 0.108161i | ||||
\(679\) | 0.879385 | + | 0.320070i | 0.0337477 | + | 0.0122832i | ||||
\(680\) | 12.2490 | − | 4.45826i | 0.469727 | − | 0.170966i | ||||
\(681\) | 9.07991 | − | 7.61895i | 0.347943 | − | 0.291959i | ||||
\(682\) | 1.35679 | + | 7.69475i | 0.0519542 | + | 0.294647i | ||||
\(683\) | 32.9317 | 1.26010 | 0.630048 | − | 0.776556i | \(-0.283035\pi\) | ||||
0.630048 | + | 0.776556i | \(0.283035\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23.3209 | −0.891045 | ||||||||
\(686\) | −3.15333 | − | 17.8834i | −0.120395 | − | 0.682793i | ||||
\(687\) | −27.0351 | + | 22.6851i | −1.03145 | + | 0.865492i | ||||
\(688\) | −5.69846 | + | 2.07407i | −0.217252 | + | 0.0790732i | ||||
\(689\) | 44.4397 | + | 16.1747i | 1.69302 | + | 0.616209i | ||||
\(690\) | −1.63041 | − | 1.36808i | −0.0620688 | − | 0.0520819i | ||||
\(691\) | −17.1604 | + | 29.7228i | −0.652814 | + | 1.13071i | 0.329623 | + | 0.944113i | \(0.393078\pi\) |
−0.982437 | + | 0.186594i | \(0.940255\pi\) | |||||||
\(692\) | −4.81521 | − | 8.34018i | −0.183047 | − | 0.317046i | ||||
\(693\) | −0.972659 | + | 5.51622i | −0.0369483 | + | 0.209544i | ||||
\(694\) | 0.905544 | − | 5.13560i | 0.0343740 | − | 0.194945i | ||||
\(695\) | 8.26352 | + | 14.3128i | 0.313453 | + | 0.542917i | ||||
\(696\) | 2.16250 | − | 3.74557i | 0.0819695 | − | 0.141975i | ||||
\(697\) | 1.73396 | + | 1.45496i | 0.0656783 | + | 0.0551106i | ||||
\(698\) | −13.4757 | − | 4.90474i | −0.510061 | − | 0.185647i | ||||
\(699\) | −12.0929 | + | 4.40144i | −0.457394 | + | 0.166478i | ||||
\(700\) | −2.06418 | + | 1.73205i | −0.0780186 | + | 0.0654654i | ||||
\(701\) | 1.12061 | + | 6.35532i | 0.0423250 | + | 0.240037i | 0.998630 | − | 0.0523352i | \(-0.0166664\pi\) |
−0.956305 | + | 0.292372i | \(0.905555\pi\) | |||||||
\(702\) | 32.2276 | 1.21635 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 3.18479 | 0.120031 | ||||||||
\(705\) | 4.19665 | + | 23.8004i | 0.158055 | + | 0.896375i | ||||
\(706\) | 20.1086 | − | 16.8731i | 0.756797 | − | 0.635028i | ||||
\(707\) | 0.935822 | − | 0.340611i | 0.0351952 | − | 0.0128100i | ||||
\(708\) | −0.826352 | − | 0.300767i | −0.0310562 | − | 0.0113035i | ||||
\(709\) | −2.58853 | − | 2.17203i | −0.0972141 | − | 0.0815723i | 0.592885 | − | 0.805287i | \(-0.297989\pi\) |
−0.690099 | + | 0.723715i | \(0.742433\pi\) | |||||||
\(710\) | 8.45336 | − | 14.6417i | 0.317249 | − | 0.549492i | ||||
\(711\) | −2.95811 | − | 5.12360i | −0.110938 | − | 0.192150i | ||||
\(712\) | 1.34389 | − | 7.62159i | 0.0503645 | − | 0.285631i | ||||
\(713\) | −0.295912 | + | 1.67820i | −0.0110820 | + | 0.0628491i | ||||
\(714\) | 13.4534 | + | 23.3019i | 0.503479 | + | 0.872052i | ||||
\(715\) | 18.3405 | − | 31.7667i | 0.685895 | − | 1.18801i | ||||
\(716\) | 14.4140 | + | 12.0948i | 0.538676 | + | 0.452003i | ||||
\(717\) | 22.6459 | + | 8.24243i | 0.845727 | + | 0.307819i | ||||
\(718\) | 31.6587 | − | 11.5228i | 1.18149 | − | 0.430028i | ||||
\(719\) | −23.9026 | + | 20.0567i | −0.891417 | + | 0.747988i | −0.968494 | − | 0.249038i | \(-0.919886\pi\) |
0.0770770 | + | 0.997025i | \(0.475441\pi\) | |||||||
\(720\) | −0.226682 | − | 1.28558i | −0.00844792 | − | 0.0479106i | ||||
\(721\) | 23.1242 | 0.861192 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 26.8161 | 0.997303 | ||||||||
\(724\) | 0.482459 | + | 2.73616i | 0.0179304 | + | 0.101689i | ||||
\(725\) | 2.16250 | − | 1.81456i | 0.0803134 | − | 0.0673909i | ||||
\(726\) | 1.23396 | − | 0.449123i | 0.0457964 | − | 0.0166685i | ||||
\(727\) | 24.1138 | + | 8.77671i | 0.894332 | + | 0.325510i | 0.747979 | − | 0.663722i | \(-0.231024\pi\) |
0.146353 | + | 0.989232i | \(0.453247\pi\) | |||||||
\(728\) | −11.8871 | − | 9.97448i | −0.440566 | − | 0.369679i | ||||
\(729\) | −15.0201 | + | 26.0155i | −0.556299 | + | 0.963538i | ||||
\(730\) | −15.7665 | − | 27.3084i | −0.583545 | − | 1.01073i | ||||
\(731\) | −6.86319 | + | 38.9231i | −0.253844 | + | 1.43962i | ||||
\(732\) | 0.781059 | − | 4.42961i | 0.0288688 | − | 0.163723i | ||||
\(733\) | 11.9368 | + | 20.6751i | 0.440894 | + | 0.763651i | 0.997756 | − | 0.0669540i | \(-0.0213281\pi\) |
−0.556862 | + | 0.830605i | \(0.687995\pi\) | |||||||
\(734\) | 5.23442 | − | 9.06629i | 0.193206 | − | 0.334643i | ||||
\(735\) | 0.612245 | + | 0.513735i | 0.0225830 | + | 0.0189494i | ||||
\(736\) | 0.652704 | + | 0.237565i | 0.0240590 | + | 0.00875675i | ||||
\(737\) | 14.8383 | − | 5.40069i | 0.546575 | − | 0.198937i | ||||
\(738\) | 0.173648 | − | 0.145708i | 0.00639208 | − | 0.00536359i | ||||
\(739\) | −7.97746 | − | 45.2424i | −0.293456 | − | 1.66427i | −0.673413 | − | 0.739266i | \(-0.735173\pi\) |
0.379958 | − | 0.925004i | \(-0.375939\pi\) | |||||||
\(740\) | −8.73917 | −0.321258 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 22.1284 | 0.812357 | ||||||||
\(743\) | −8.85803 | − | 50.2364i | −0.324970 | − | 1.84299i | −0.509889 | − | 0.860240i | \(-0.670313\pi\) |
0.184919 | − | 0.982754i | \(-0.440798\pi\) | |||||||
\(744\) | 2.87939 | − | 2.41609i | 0.105563 | − | 0.0885782i | ||||
\(745\) | 30.9222 | − | 11.2548i | 1.13290 | − | 0.412343i | ||||
\(746\) | −22.4611 | − | 8.17517i | −0.822359 | − | 0.299314i | ||||
\(747\) | −4.23783 | − | 3.55596i | −0.155054 | − | 0.130106i | ||||
\(748\) | 10.3785 | − | 17.9761i | 0.379476 | − | 0.657271i | ||||
\(749\) | 15.4311 | + | 26.7274i | 0.563839 | + | 0.976598i | ||||
\(750\) | −3.19253 | + | 18.1058i | −0.116575 | + | 0.661129i | ||||
\(751\) | −6.31551 | + | 35.8170i | −0.230456 | + | 1.30698i | 0.621518 | + | 0.783400i | \(0.286516\pi\) |
−0.851975 | + | 0.523583i | \(0.824595\pi\) | |||||||
\(752\) | −3.94356 | − | 6.83045i | −0.143807 | − | 0.249081i | ||||
\(753\) | −6.56283 | + | 11.3672i | −0.239163 | + | 0.414242i | ||||
\(754\) | 12.4534 | + | 10.4496i | 0.453525 | + | 0.380552i | ||||
\(755\) | −8.74928 | − | 3.18448i | −0.318419 | − | 0.115895i | ||||
\(756\) | 14.1702 | − | 5.15755i | 0.515367 | − | 0.187578i | ||||
\(757\) | −4.44562 | + | 3.73032i | −0.161579 | + | 0.135581i | −0.719992 | − | 0.693982i | \(-0.755855\pi\) |
0.558413 | + | 0.829563i | \(0.311410\pi\) | |||||||
\(758\) | 3.09327 | + | 17.5428i | 0.112353 | + | 0.637184i | ||||
\(759\) | −3.38919 | −0.123020 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.6355 | 0.820535 | 0.410268 | − | 0.911965i | \(-0.365435\pi\) | ||||
0.410268 | + | 0.911965i | \(0.365435\pi\) | |||||||
\(762\) | 2.58853 | + | 14.6803i | 0.0937724 | + | 0.531810i | ||||
\(763\) | 17.9472 | − | 15.0595i | 0.649732 | − | 0.545190i | ||||
\(764\) | −8.98545 | + | 3.27044i | −0.325082 | + | 0.118320i | ||||
\(765\) | −7.99495 | − | 2.90992i | −0.289058 | − | 0.105208i | ||||
\(766\) | 19.2121 | + | 16.1209i | 0.694163 | + | 0.582472i | ||||
\(767\) | 1.65270 | − | 2.86257i | 0.0596757 | − | 0.103361i | ||||
\(768\) | −0.766044 | − | 1.32683i | −0.0276422 | − | 0.0478778i | ||||
\(769\) | 1.89322 | − | 10.7370i | 0.0682712 | − | 0.387185i | −0.931457 | − | 0.363853i | \(-0.881461\pi\) |
0.999728 | − | 0.0233326i | \(-0.00742768\pi\) | |||||||
\(770\) | 2.98040 | − | 16.9027i | 0.107406 | − | 0.609131i | ||||
\(771\) | 6.14724 | + | 10.6473i | 0.221387 | + | 0.383454i | ||||
\(772\) | 11.8405 | − | 20.5083i | 0.426149 | − | 0.738111i | ||||
\(773\) | −4.02229 | − | 3.37510i | −0.144672 | − | 0.121394i | 0.567580 | − | 0.823319i | \(-0.307880\pi\) |
−0.712251 | + | 0.701925i | \(0.752324\pi\) | |||||||
\(774\) | 3.71941 | + | 1.35375i | 0.133691 | + | 0.0486597i | ||||
\(775\) | 2.30541 | − | 0.839100i | 0.0828127 | − | 0.0301413i | ||||
\(776\) | −0.266044 | + | 0.223238i | −0.00955044 | + | 0.00801377i | ||||
\(777\) | −3.13247 | − | 17.7651i | −0.112377 | − | 0.637321i | ||||
\(778\) | −9.41828 | −0.337662 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −17.6459 | −0.631824 | ||||||||
\(781\) | −4.67499 | − | 26.5132i | −0.167284 | − | 0.948717i | ||||
\(782\) | 3.46791 | − | 2.90992i | 0.124012 | − | 0.104059i | ||||
\(783\) | −14.8452 | + | 5.40322i | −0.530525 | + | 0.193095i | ||||
\(784\) | −0.245100 | − | 0.0892091i | −0.00875357 | − | 0.00318604i | ||||
\(785\) | 12.9513 | + | 10.8674i | 0.462252 | + | 0.387875i | ||||
\(786\) | 4.95471 | − | 8.58180i | 0.176729 | − | 0.306103i | ||||
\(787\) | 1.19372 | + | 2.06758i | 0.0425514 | + | 0.0737011i | 0.886517 | − | 0.462697i | \(-0.153118\pi\) |
−0.843965 | + | 0.536398i | \(0.819785\pi\) | |||||||
\(788\) | −3.98040 | + | 22.5740i | −0.141796 | + | 0.804164i | ||||
\(789\) | −1.58584 | + | 8.99373i | −0.0564573 | + | 0.320185i | ||||
\(790\) | 9.06418 | + | 15.6996i | 0.322489 | + | 0.558567i | ||||
\(791\) | −3.85298 | + | 6.67355i | −0.136996 | + | 0.237284i | ||||
\(792\) | −1.59240 | − | 1.33618i | −0.0565833 | − | 0.0474791i | ||||
\(793\) | 15.8871 | + | 5.78244i | 0.564168 | + | 0.205341i | ||||
\(794\) | −6.43882 | + | 2.34354i | −0.228505 | + | 0.0831690i | ||||
\(795\) | 19.2763 | − | 16.1747i | 0.683660 | − | 0.573659i | ||||
\(796\) | 1.75103 | + | 9.93058i | 0.0620636 | + | 0.351980i | ||||
\(797\) | 31.0951 | 1.10145 | 0.550723 | − | 0.834688i | \(-0.314352\pi\) | ||||
0.550723 | + | 0.834688i | \(0.314352\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −51.4047 | −1.81857 | ||||||||
\(800\) | −0.173648 | − | 0.984808i | −0.00613939 | − | 0.0348182i | ||||
\(801\) | −3.86959 | + | 3.24697i | −0.136725 | + | 0.114726i | ||||
\(802\) | −4.46064 | + | 1.62354i | −0.157511 | + | 0.0573292i | ||||
\(803\) | −47.1848 | − | 17.1739i | −1.66512 | − | 0.606053i | ||||
\(804\) | −5.81908 | − | 4.88279i | −0.205223 | − | 0.172203i | ||||
\(805\) | 1.87164 | − | 3.24178i | 0.0659668 | − | 0.114258i | ||||
\(806\) | 7.06418 | + | 12.2355i | 0.248825 | + | 0.430978i | ||||
\(807\) | −0.305407 | + | 1.73205i | −0.0107508 | + | 0.0609711i | ||||
\(808\) | −0.0641778 | + | 0.363970i | −0.00225777 | + | 0.0128044i | ||||
\(809\) | −11.1518 | − | 19.3155i | −0.392077 | − | 0.679098i | 0.600646 | − | 0.799515i | \(-0.294910\pi\) |
−0.992723 | + | 0.120417i | \(0.961577\pi\) | |||||||
\(810\) | 6.61587 | − | 11.4590i | 0.232458 | − | 0.402629i | ||||
\(811\) | 2.54252 | + | 2.13343i | 0.0892799 | + | 0.0749147i | 0.686335 | − | 0.727285i | \(-0.259218\pi\) |
−0.597055 | + | 0.802200i | \(0.703663\pi\) | |||||||
\(812\) | 7.14796 | + | 2.60164i | 0.250844 | + | 0.0912998i | ||||
\(813\) | −28.8726 | + | 10.5088i | −1.01261 | + | 0.368558i | ||||
\(814\) | −10.6604 | + | 8.94517i | −0.373648 | + | 0.313528i | ||||
\(815\) | 5.92127 | + | 33.5812i | 0.207413 | + | 1.17630i | ||||
\(816\) | −9.98545 | −0.349561 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 31.6928 | 1.10811 | ||||||||
\(819\) | 1.75877 | + | 9.97448i | 0.0614564 | + | 0.348537i | ||||
\(820\) | −0.532089 | + | 0.446476i | −0.0185813 | + | 0.0155916i | ||||
\(821\) | 1.72193 | − | 0.626733i | 0.0600959 | − | 0.0218731i | −0.311797 | − | 0.950149i | \(-0.600931\pi\) |
0.371893 | + | 0.928276i | \(0.378709\pi\) | |||||||
\(822\) | 16.7875 | + | 6.11013i | 0.585530 | + | 0.213115i | ||||
\(823\) | −26.2276 | − | 22.0076i | −0.914237 | − | 0.767136i | 0.0586832 | − | 0.998277i | \(-0.481310\pi\) |
−0.972920 | + | 0.231141i | \(0.925754\pi\) | |||||||
\(824\) | −4.29086 | + | 7.43199i | −0.149479 | + | 0.258906i | ||||
\(825\) | 2.43969 | + | 4.22567i | 0.0849392 | + | 0.147119i | ||||
\(826\) | 0.268571 | − | 1.52314i | 0.00934477 | − | 0.0529968i | ||||
\(827\) | −3.44965 | + | 19.5640i | −0.119956 | + | 0.680306i | 0.864220 | + | 0.503114i | \(0.167812\pi\) |
−0.984176 | + | 0.177192i | \(0.943299\pi\) | |||||||
\(828\) | −0.226682 | − | 0.392624i | −0.00787773 | − | 0.0136446i | ||||
\(829\) | 17.8675 | − | 30.9475i | 0.620565 | − | 1.07485i | −0.368816 | − | 0.929502i | \(-0.620237\pi\) |
0.989381 | − | 0.145347i | \(-0.0464300\pi\) | |||||||
\(830\) | 12.9855 | + | 10.8961i | 0.450732 | + | 0.378209i | ||||
\(831\) | −24.9932 | − | 9.09678i | −0.867004 | − | 0.315564i | ||||
\(832\) | 5.41147 | − | 1.96962i | 0.187609 | − | 0.0682841i | ||||
\(833\) | −1.30225 | + | 1.09272i | −0.0451204 | + | 0.0378605i | ||||
\(834\) | −2.19846 | − | 12.4681i | −0.0761266 | − | 0.431735i | ||||
\(835\) | −6.38507 | −0.220964 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.7297 | −0.474567 | ||||||||
\(838\) | −1.91188 | − | 10.8428i | −0.0660450 | − | 0.374560i | ||||
\(839\) | −41.6691 | + | 34.9645i | −1.43858 | + | 1.20711i | −0.498162 | + | 0.867084i | \(0.665991\pi\) |
−0.940416 | + | 0.340026i | \(0.889564\pi\) | |||||||
\(840\) | −7.75877 | + | 2.82396i | −0.267703 | + | 0.0974359i | ||||
\(841\) | 19.7626 | + | 7.19301i | 0.681470 | + | 0.248035i | ||||
\(842\) | −6.63816 | − | 5.57007i | −0.228766 | − | 0.191957i | ||||
\(843\) | −2.23783 | + | 3.87603i | −0.0770748 | + | 0.133498i | ||||
\(844\) | 11.1800 | + | 19.3644i | 0.384833 | + | 0.666550i | ||||
\(845\) | 7.00269 | − | 39.7142i | 0.240900 | − | 1.36621i | ||||
\(846\) | −0.893933 | + | 5.06975i | −0.0307341 | + | 0.174301i | ||||
\(847\) | 1.15476 | + | 2.00011i | 0.0396781 | + | 0.0687245i | ||||
\(848\) | −4.10607 | + | 7.11192i | −0.141003 | + | 0.244224i | ||||
\(849\) | −11.1270 | − | 9.33667i | −0.381878 | − | 0.320434i | ||||
\(850\) | −6.12449 | − | 2.22913i | −0.210068 | − | 0.0764585i | ||||
\(851\) | −2.85204 | + | 1.03806i | −0.0977668 | + | 0.0355842i | ||||
\(852\) | −9.92127 | + | 8.32494i | −0.339897 | + | 0.285208i | ||||
\(853\) | 2.77425 | + | 15.7336i | 0.0949886 | + | 0.538707i | 0.994751 | + | 0.102327i | \(0.0326287\pi\) |
−0.899762 | + | 0.436380i | \(0.856260\pi\) | |||||||
\(854\) | 7.91085 | 0.270704 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −11.4534 | −0.391468 | ||||||||
\(857\) | −4.51738 | − | 25.6193i | −0.154311 | − | 0.875140i | −0.959413 | − | 0.282004i | \(-0.909001\pi\) |
0.805103 | − | 0.593136i | \(-0.202110\pi\) | |||||||
\(858\) | −21.5253 | + | 18.0619i | −0.734861 | + | 0.616622i | ||||
\(859\) | −50.0578 | + | 18.2196i | −1.70795 | + | 0.621643i | −0.996691 | − | 0.0812851i | \(-0.974098\pi\) |
−0.711260 | + | 0.702929i | \(0.751875\pi\) | |||||||
\(860\) | −11.3969 | − | 4.14814i | −0.388632 | − | 0.141450i | ||||
\(861\) | −1.09833 | − | 0.921605i | −0.0374309 | − | 0.0314082i | ||||
\(862\) | 14.9436 | − | 25.8830i | 0.508980 | − | 0.881579i | ||||
\(863\) | −1.61587 | − | 2.79876i | −0.0550048 | − | 0.0952710i | 0.837212 | − | 0.546879i | \(-0.184184\pi\) |
−0.892217 | + | 0.451608i | \(0.850851\pi\) | |||||||
\(864\) | −0.971782 | + | 5.51125i | −0.0330607 | + | 0.187496i | ||||
\(865\) | 3.34461 | − | 18.9682i | 0.113720 | − | 0.644939i | ||||
\(866\) | −4.63041 | − | 8.02011i | −0.157348 | − | 0.272535i | ||||
\(867\) | −19.5175 | + | 33.8054i | −0.662850 | + | 1.14809i | ||||
\(868\) | 5.06418 | + | 4.24935i | 0.171889 | + | 0.144232i | ||||
\(869\) | 27.1266 | + | 9.87328i | 0.920207 | + | 0.334928i | ||||
\(870\) | 8.12836 | − | 2.95848i | 0.275577 | − | 0.100302i | ||||
\(871\) | 21.8726 | − | 18.3533i | 0.741124 | − | 0.621877i | ||||
\(872\) | 1.50980 | + | 8.56250i | 0.0511283 | + | 0.289963i | ||||
\(873\) | 0.226682 | 0.00767201 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −32.3351 | −1.09313 | ||||||||
\(876\) | 4.19459 | + | 23.7887i | 0.141722 | + | 0.803746i | ||||
\(877\) | 8.98133 | − | 7.53623i | 0.303278 | − | 0.254481i | −0.478429 | − | 0.878126i | \(-0.658794\pi\) |
0.781707 | + | 0.623646i | \(0.214349\pi\) | |||||||
\(878\) | −19.6040 | + | 7.13528i | −0.661603 | + | 0.240804i | ||||
\(879\) | 39.2918 | + | 14.3010i | 1.32528 | + | 0.482362i | ||||
\(880\) | 4.87939 | + | 4.09429i | 0.164484 | + | 0.138018i | ||||
\(881\) | −13.5236 | + | 23.4236i | −0.455623 | + | 0.789162i | −0.998724 | − | 0.0505056i | \(-0.983917\pi\) |
0.543101 | + | 0.839667i | \(0.317250\pi\) | |||||||
\(882\) | 0.0851223 | + | 0.147436i | 0.00286622 | + | 0.00496443i | ||||
\(883\) | 2.51460 | − | 14.2610i | 0.0846232 | − | 0.479922i | −0.912814 | − | 0.408375i | \(-0.866095\pi\) |
0.997437 | − | 0.0715465i | \(-0.0227934\pi\) | |||||||
\(884\) | 6.51754 | − | 36.9628i | 0.219209 | − | 1.24319i | ||||
\(885\) | −0.879385 | − | 1.52314i | −0.0295602 | − | 0.0511998i | ||||
\(886\) | −11.9140 | + | 20.6357i | −0.400259 | + | 0.693268i | ||||
\(887\) | −8.87939 | − | 7.45069i | −0.298141 | − | 0.250170i | 0.481429 | − | 0.876485i | \(-0.340118\pi\) |
−0.779570 | + | 0.626315i | \(0.784562\pi\) | |||||||
\(888\) | 6.29086 | + | 2.28969i | 0.211107 | + | 0.0768368i | ||||
\(889\) | −24.6364 | + | 8.96692i | −0.826278 | + | 0.300741i | ||||
\(890\) | 11.8571 | − | 9.94929i | 0.397451 | − | 0.333501i | ||||
\(891\) | −3.65880 | − | 20.7501i | −0.122574 | − | 0.695153i | ||||
\(892\) | −9.27631 | −0.310594 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −25.2080 | −0.843082 | ||||||||
\(895\) | 6.53478 | + | 37.0606i | 0.218434 | + | 1.23880i | ||||
\(896\) | 2.06418 | − | 1.73205i | 0.0689593 | − | 0.0578638i | ||||
\(897\) | −5.75877 | + | 2.09602i | −0.192280 | + | 0.0699841i | ||||
\(898\) | 2.05051 | + | 0.746324i | 0.0684263 | + | 0.0249051i | ||||
\(899\) | −5.30541 | − | 4.45177i | −0.176945 | − | 0.148475i | ||||
\(900\) | −0.326352 | + | 0.565258i | −0.0108784 | + | 0.0188419i | ||||
\(901\) | 26.7615 | + | 46.3522i | 0.891553 | + | 1.54422i | ||||
\(902\) | −0.192066 | + | 1.08926i | −0.00639511 | + | 0.0362685i | ||||
\(903\) | 4.34730 | − | 24.6547i | 0.144669 | − | 0.820458i | ||||
\(904\) | −1.42989 | − | 2.47665i | −0.0475575 | − | 0.0823720i | ||||
\(905\) | −2.77837 | + | 4.81228i | −0.0923562 | + | 0.159966i | ||||
\(906\) | 5.46379 | + | 4.58467i | 0.181522 | + | 0.152315i | ||||
\(907\) | −39.4470 | − | 14.3575i | −1.30982 | − | 0.476734i | −0.409635 | − | 0.912249i | \(-0.634344\pi\) |
−0.900181 | + | 0.435515i | \(0.856566\pi\) | |||||||
\(908\) | −7.26991 | + | 2.64603i | −0.241261 | + | 0.0878117i | ||||
\(909\) | 0.184793 | − | 0.155059i | 0.00612918 | − | 0.00514299i | ||||
\(910\) | −5.38919 | − | 30.5636i | −0.178650 | − | 1.01317i | ||||
\(911\) | −44.8675 | −1.48653 | −0.743264 | − | 0.668999i | \(-0.766723\pi\) | ||||
−0.743264 | + | 0.668999i | \(0.766723\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 26.9932 | 0.893344 | ||||||||
\(914\) | 0.309278 | + | 1.75400i | 0.0102300 | + | 0.0580172i | ||||
\(915\) | 6.89124 | − | 5.78244i | 0.227818 | − | 0.191162i | ||||
\(916\) | 21.6459 | − | 7.87846i | 0.715201 | − | 0.260312i | ||||
\(917\) | 16.3773 | + | 5.96086i | 0.540827 | + | 0.196845i | ||||
\(918\) | 27.9406 | + | 23.4450i | 0.922178 | + | 0.773799i | ||||
\(919\) | 16.2635 | − | 28.1692i | 0.536484 | − | 0.929217i | −0.462606 | − | 0.886564i | \(-0.653086\pi\) |
0.999090 | − | 0.0426535i | \(-0.0135811\pi\) | |||||||
\(920\) | 0.694593 | + | 1.20307i | 0.0229000 | + | 0.0396640i | ||||
\(921\) | 5.67436 | − | 32.1809i | 0.186977 | − | 1.06040i | ||||
\(922\) | −2.68954 | + | 15.2531i | −0.0885753 | + | 0.502335i | ||||
\(923\) | −24.3405 | − | 42.1590i | −0.801177 | − | 1.38768i | ||||
\(924\) | −6.57398 | + | 11.3865i | −0.216268 | + | 0.374587i | ||||
\(925\) | 3.34730 | + | 2.80872i | 0.110058 | + | 0.0923500i | ||||
\(926\) | 2.54664 | + | 0.926900i | 0.0836877 | + | 0.0304598i | ||||
\(927\) | 5.26352 | − | 1.91576i | 0.172877 | − | 0.0629219i | ||||
\(928\) | −2.16250 | + | 1.81456i | −0.0709877 | + | 0.0595657i | ||||
\(929\) | 2.05603 | + | 11.6603i | 0.0674560 | + | 0.382562i | 0.999781 | + | 0.0209399i | \(0.00666588\pi\) |
−0.932325 | + | 0.361622i | \(0.882223\pi\) | |||||||
\(930\) | 7.51754 | 0.246510 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 8.39961 | 0.275139 | ||||||||
\(933\) | −7.79292 | − | 44.1958i | −0.255129 | − | 1.44691i | ||||
\(934\) | 9.89234 | − | 8.30066i | 0.323687 | − | 0.271606i | ||||
\(935\) | 39.0104 | − | 14.1986i | 1.27578 | − | 0.464345i | ||||
\(936\) | −3.53209 | − | 1.28558i | −0.115450 | − | 0.0420203i | ||||
\(937\) | −0.585122 | − | 0.490976i | −0.0191151 | − | 0.0160395i | 0.633180 | − | 0.774005i | \(-0.281749\pi\) |
−0.652295 | + | 0.757965i | \(0.726194\pi\) | |||||||
\(938\) | 6.68004 | − | 11.5702i | 0.218111 | − | 0.377780i | ||||
\(939\) | −4.26011 | − | 7.37874i | −0.139024 | − | 0.240796i | ||||
\(940\) | 2.73917 | − | 15.5346i | 0.0893419 | − | 0.506683i | ||||
\(941\) | −3.73236 | + | 21.1673i | −0.121672 | + | 0.690034i | 0.861558 | + | 0.507660i | \(0.169489\pi\) |
−0.983229 | + | 0.182374i | \(0.941622\pi\) | |||||||
\(942\) | −6.47565 | − | 11.2162i | −0.210988 | − | 0.365442i | ||||
\(943\) | −0.120615 | + | 0.208911i | −0.00392776 | + | 0.00680307i | ||||
\(944\) | 0.439693 | + | 0.368946i | 0.0143108 | + | 0.0120082i | ||||
\(945\) | 28.3405 | + | 10.3151i | 0.921916 | + | 0.335550i | ||||
\(946\) | −18.1484 | + | 6.60549i | −0.590056 | + | 0.214763i | ||||
\(947\) | 24.2722 | − | 20.3668i | 0.788740 | − | 0.661832i | −0.156693 | − | 0.987647i | \(-0.550083\pi\) |
0.945433 | + | 0.325816i | \(0.105639\pi\) | |||||||
\(948\) | −2.41147 | − | 13.6761i | −0.0783210 | − | 0.444181i | ||||
\(949\) | −90.7957 | −2.94735 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.82707 | 0.188956 | ||||||||
\(952\) | −3.04963 | − | 17.2953i | −0.0988391 | − | 0.560544i | ||||
\(953\) | 42.7998 | − | 35.9133i | 1.38642 | − | 1.16335i | 0.419655 | − | 0.907684i | \(-0.362151\pi\) |
0.966766 | − | 0.255661i | \(-0.0822932\pi\) | |||||||
\(954\) | 5.03684 | − | 1.83326i | 0.163074 | − | 0.0593539i | ||||
\(955\) | −17.9709 | − | 6.54087i | −0.581525 | − | 0.211658i | ||||
\(956\) | −12.0496 | − | 10.1108i | −0.389713 | − | 0.327008i | ||||
\(957\) | 6.88713 | − | 11.9289i | 0.222629 | − | 0.385605i | ||||
\(958\) | 9.27631 | + | 16.0670i | 0.299704 | + | 0.519103i | ||||
\(959\) | −5.45605 | + | 30.9428i | −0.176185 | + | 0.999195i | ||||
\(960\) | 0.532089 | − | 3.01763i | 0.0171731 | − | 0.0973935i | ||||
\(961\) | 12.4905 | + | 21.6342i | 0.402920 | + | 0.697877i | ||||
\(962\) | −12.5817 | + | 21.7922i | −0.405651 | + | 0.702608i | ||||
\(963\) | 5.72668 | + | 4.80526i | 0.184540 | + | 0.154847i | ||||
\(964\) | −16.4474 | − | 5.98638i | −0.529736 | − | 0.192808i | ||||
\(965\) | 44.5057 | − | 16.1987i | 1.43269 | − | 0.521456i | ||||
\(966\) | −2.19665 | + | 1.84321i | −0.0706761 | + | 0.0593043i | ||||
\(967\) | 3.74329 | + | 21.2292i | 0.120376 | + | 0.682687i | 0.983947 | + | 0.178460i | \(0.0571114\pi\) |
−0.863571 | + | 0.504227i | \(0.831778\pi\) | |||||||
\(968\) | −0.857097 | −0.0275481 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.694593 | −0.0223020 | ||||||||
\(971\) | 8.44908 | + | 47.9171i | 0.271144 | + | 1.53773i | 0.750950 | + | 0.660359i | \(0.229596\pi\) |
−0.479806 | + | 0.877375i | \(0.659293\pi\) | |||||||
\(972\) | 5.09627 | − | 4.27628i | 0.163463 | − | 0.137162i | ||||
\(973\) | 20.9240 | − | 7.61570i | 0.670791 | − | 0.244148i | ||||
\(974\) | −38.6905 | − | 14.0822i | −1.23972 | − | 0.451222i | ||||
\(975\) | 6.75877 | + | 5.67128i | 0.216454 | + | 0.181626i | ||||
\(976\) | −1.46791 | + | 2.54250i | −0.0469867 | + | 0.0813833i | ||||
\(977\) | 25.2741 | + | 43.7760i | 0.808590 | + | 1.40052i | 0.913841 | + | 0.406073i | \(0.133102\pi\) |
−0.105251 | + | 0.994446i | \(0.533565\pi\) | |||||||
\(978\) | 4.53596 | − | 25.7247i | 0.145044 | − | 0.822585i | ||||
\(979\) | 4.28002 | − | 24.2732i | 0.136790 | − | 0.775775i | ||||
\(980\) | −0.260830 | − | 0.451771i | −0.00833190 | − | 0.0144313i | ||||
\(981\) | 2.83750 | − | 4.91469i | 0.0905943 | − | 0.156914i | ||||
\(982\) | −17.2954 | − | 14.5126i | −0.551920 | − | 0.463116i | ||||
\(983\) | 28.2472 | + | 10.2811i | 0.900946 | + | 0.327918i | 0.750632 | − | 0.660721i | \(-0.229749\pi\) |
0.150314 | + | 0.988638i | \(0.451971\pi\) | |||||||
\(984\) | 0.500000 | − | 0.181985i | 0.0159394 | − | 0.00580147i | ||||
\(985\) | −35.1189 | + | 29.4682i | −1.11898 | + | 0.938936i | ||||
\(986\) | 3.19490 | + | 18.1192i | 0.101746 | + | 0.577032i | ||||
\(987\) | 32.5609 | 1.03642 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.21213 | −0.133938 | ||||||||
\(990\) | −0.721934 | − | 4.09429i | −0.0229446 | − | 0.130125i | ||||
\(991\) | 2.10876 | − | 1.76946i | 0.0669868 | − | 0.0562086i | −0.608680 | − | 0.793416i | \(-0.708300\pi\) |
0.675666 | + | 0.737208i | \(0.263856\pi\) | |||||||
\(992\) | −2.30541 | + | 0.839100i | −0.0731968 | + | 0.0266414i | ||||
\(993\) | −29.4013 | − | 10.7012i | −0.933021 | − | 0.339592i | ||||
\(994\) | −17.4492 | − | 14.6417i | −0.553456 | − | 0.464405i | ||||
\(995\) | −10.0838 | + | 17.4656i | −0.319677 | + | 0.553697i | ||||
\(996\) | −6.49273 | − | 11.2457i | −0.205730 | − | 0.356335i | ||||
\(997\) | 1.51155 | − | 8.57245i | 0.0478714 | − | 0.271492i | −0.951472 | − | 0.307737i | \(-0.900428\pi\) |
0.999343 | + | 0.0362444i | \(0.0115395\pi\) | |||||||
\(998\) | −5.09286 | + | 28.8831i | −0.161212 | + | 0.914277i | ||||
\(999\) | −12.2267 | − | 21.1772i | −0.386835 | − | 0.670018i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))