Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 82.2 | ||
Root | \(0.642788 - 0.766044i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.82 |
Dual form | 729.2.e.m.649.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.342020 | + | 1.93969i | 0.241845 | + | 1.37157i | 0.827708 | + | 0.561160i | \(0.189645\pi\) |
−0.585863 | + | 0.810410i | \(0.699244\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.76604 | + | 0.642788i | −0.883022 | + | 0.321394i | ||||
\(5\) | −2.83564 | − | 2.37939i | −1.26814 | − | 1.06409i | −0.994765 | − | 0.102185i | \(-0.967417\pi\) |
−0.273372 | − | 0.961908i | \(-0.588139\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.20574 | + | 0.802823i | 0.833690 | + | 0.303438i | 0.723373 | − | 0.690458i | \(-0.242591\pi\) |
0.110318 | + | 0.993896i | \(0.464813\pi\) | |||||||
\(8\) | 0.118782 | + | 0.205737i | 0.0419959 | + | 0.0727390i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.64543 | − | 6.31407i | 1.15279 | − | 1.99668i | ||||
\(11\) | 1.66885 | − | 1.40033i | 0.503177 | − | 0.422215i | −0.355544 | − | 0.934660i | \(-0.615704\pi\) |
0.858720 | + | 0.512444i | \(0.171260\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.819078 | + | 4.64522i | −0.227171 | + | 1.28835i | 0.631319 | + | 0.775523i | \(0.282514\pi\) |
−0.858490 | + | 0.512829i | \(0.828597\pi\) | |||||||
\(14\) | −0.802823 | + | 4.55303i | −0.214563 | + | 1.21685i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.23783 | + | 2.71686i | −0.809456 | + | 0.679215i | ||||
\(17\) | −1.46756 | + | 2.54189i | −0.355936 | + | 0.616499i | −0.987278 | − | 0.159006i | \(-0.949171\pi\) |
0.631342 | + | 0.775505i | \(0.282504\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.11334 | + | 5.39246i | 0.714249 | + | 1.23712i | 0.963248 | + | 0.268612i | \(0.0865651\pi\) |
−0.248999 | + | 0.968504i | \(0.580102\pi\) | |||||||
\(20\) | 6.53731 | + | 2.37939i | 1.46179 | + | 0.532047i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.28699 | + | 2.75811i | 0.700788 | + | 0.588031i | ||||
\(23\) | 0.487728 | − | 0.177519i | 0.101698 | − | 0.0370152i | −0.290670 | − | 0.956823i | \(-0.593878\pi\) |
0.392368 | + | 0.919808i | \(0.371656\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.51114 | + | 8.57013i | 0.302229 | + | 1.71403i | ||||
\(26\) | −9.29044 | −1.82201 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.41147 | −0.833690 | ||||||||
\(29\) | 0.606511 | + | 3.43969i | 0.112626 | + | 0.638735i | 0.987898 | + | 0.155104i | \(0.0495712\pi\) |
−0.875272 | + | 0.483631i | \(0.839318\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.04576 | − | 1.47254i | 0.726640 | − | 0.264475i | 0.0478980 | − | 0.998852i | \(-0.484748\pi\) |
0.678742 | + | 0.734377i | \(0.262526\pi\) | |||||||
\(32\) | −6.01330 | − | 5.04576i | −1.06301 | − | 0.891973i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.43242 | − | 1.97724i | −0.931652 | − | 0.339094i | ||||
\(35\) | −4.34445 | − | 7.52481i | −0.734347 | − | 1.27193i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.20574 | + | 2.08840i | −0.198222 | + | 0.343330i | −0.947952 | − | 0.318413i | \(-0.896850\pi\) |
0.749730 | + | 0.661744i | \(0.230183\pi\) | |||||||
\(38\) | −9.39490 | + | 7.88326i | −1.52405 | + | 1.27883i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.152704 | − | 0.866025i | 0.0241446 | − | 0.136931i | ||||
\(41\) | −0.433877 | + | 2.46064i | −0.0677602 | + | 0.384287i | 0.932001 | + | 0.362454i | \(0.118061\pi\) |
−0.999762 | + | 0.0218325i | \(0.993050\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.815207 | − | 0.684040i | 0.124318 | − | 0.104315i | −0.578509 | − | 0.815676i | \(-0.696365\pi\) |
0.702827 | + | 0.711361i | \(0.251921\pi\) | |||||||
\(44\) | −2.04715 | + | 3.54576i | −0.308619 | + | 0.534543i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.511144 | + | 0.885328i | 0.0753641 | + | 0.130534i | ||||
\(47\) | −0.223238 | − | 0.0812519i | −0.0325626 | − | 0.0118518i | 0.325688 | − | 0.945477i | \(-0.394404\pi\) |
−0.358250 | + | 0.933626i | \(0.616626\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.14156 | − | 0.957882i | −0.163080 | − | 0.136840i | ||||
\(50\) | −16.1066 | + | 5.86231i | −2.27781 | + | 0.829056i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.53936 | − | 8.73016i | −0.213471 | − | 1.21066i | ||||
\(53\) | −4.66717 | −0.641085 | −0.320543 | − | 0.947234i | \(-0.603865\pi\) | ||||
−0.320543 | + | 0.947234i | \(0.603865\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.06418 | −1.08737 | ||||||||
\(56\) | 0.0968323 | + | 0.549163i | 0.0129398 | + | 0.0733850i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.46451 | + | 2.35289i | −0.848831 | + | 0.308949i | ||||
\(59\) | 10.1977 | + | 8.55690i | 1.32763 | + | 1.11401i | 0.984625 | + | 0.174680i | \(0.0558892\pi\) |
0.343005 | + | 0.939334i | \(0.388555\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.45336 | + | 1.25692i | 0.442158 | + | 0.160932i | 0.553499 | − | 0.832850i | \(-0.313292\pi\) |
−0.111341 | + | 0.993782i | \(0.535515\pi\) | |||||||
\(62\) | 4.24000 | + | 7.34389i | 0.538480 | + | 0.932675i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.50387 | − | 6.06888i | 0.437984 | − | 0.758610i | ||||
\(65\) | 13.3754 | − | 11.2233i | 1.65901 | − | 1.39208i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.48293 | − | 14.0814i | 0.303338 | − | 1.72031i | −0.327890 | − | 0.944716i | \(-0.606338\pi\) |
0.631228 | − | 0.775598i | \(-0.282551\pi\) | |||||||
\(68\) | 0.957882 | − | 5.43242i | 0.116160 | − | 0.658778i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 13.1099 | − | 11.0005i | 1.56694 | − | 1.31482i | ||||
\(71\) | 0.601535 | − | 1.04189i | 0.0713891 | − | 0.123649i | −0.828121 | − | 0.560549i | \(-0.810590\pi\) |
0.899510 | + | 0.436900i | \(0.143923\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.34002 | + | 4.05304i | 0.273879 | + | 0.474372i | 0.969852 | − | 0.243696i | \(-0.0783599\pi\) |
−0.695973 | + | 0.718068i | \(0.745027\pi\) | |||||||
\(74\) | −4.46324 | − | 1.62449i | −0.518841 | − | 0.188843i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −8.96451 | − | 7.52211i | −1.02830 | − | 0.862846i | ||||
\(77\) | 4.80526 | − | 1.74897i | 0.547610 | − | 0.199314i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.22281 | − | 12.6062i | −0.250086 | − | 1.41831i | −0.808379 | − | 0.588663i | \(-0.799655\pi\) |
0.558293 | − | 0.829644i | \(-0.311457\pi\) | |||||||
\(80\) | 15.6458 | 1.74925 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.92127 | −0.543464 | ||||||||
\(83\) | 1.96291 | + | 11.1322i | 0.215458 | + | 1.22192i | 0.880111 | + | 0.474768i | \(0.157468\pi\) |
−0.664653 | + | 0.747152i | \(0.731421\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 10.2096 | − | 3.71599i | 1.10739 | − | 0.403056i | ||||
\(86\) | 1.60565 | + | 1.34730i | 0.173141 | + | 0.145283i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.486329 | + | 0.177009i | 0.0518429 | + | 0.0188693i | ||||
\(89\) | 0.349643 | + | 0.605600i | 0.0370621 | + | 0.0641935i | 0.883961 | − | 0.467560i | \(-0.154867\pi\) |
−0.846899 | + | 0.531753i | \(0.821533\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.53596 | + | 9.58856i | −0.580326 | + | 1.00515i | ||||
\(92\) | −0.747243 | + | 0.627011i | −0.0779055 | + | 0.0653705i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0812519 | − | 0.460802i | 0.00838049 | − | 0.0475281i | ||||
\(95\) | 4.00243 | − | 22.6989i | 0.410641 | − | 2.32886i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.42855 | + | 4.55509i | −0.551186 | + | 0.462500i | −0.875342 | − | 0.483504i | \(-0.839364\pi\) |
0.324157 | + | 0.946003i | \(0.394919\pi\) | |||||||
\(98\) | 1.46756 | − | 2.54189i | 0.148246 | − | 0.256770i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.17752 | − | 14.1639i | −0.817752 | − | 1.41639i | ||||
\(101\) | 4.39506 | + | 1.59967i | 0.437325 | + | 0.159173i | 0.551294 | − | 0.834311i | \(-0.314134\pi\) |
−0.113969 | + | 0.993484i | \(0.536357\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.4363 | − | 8.75709i | −1.02832 | − | 0.862861i | −0.0376683 | − | 0.999290i | \(-0.511993\pi\) |
−0.990650 | + | 0.136429i | \(0.956437\pi\) | |||||||
\(104\) | −1.05299 | + | 0.383256i | −0.103254 | + | 0.0375813i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.59627 | − | 9.05288i | −0.155043 | − | 0.879293i | ||||
\(107\) | −11.6340 | −1.12470 | −0.562350 | − | 0.826900i | \(-0.690102\pi\) | ||||
−0.562350 | + | 0.826900i | \(0.690102\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.6040 | 1.39881 | 0.699405 | − | 0.714725i | \(-0.253448\pi\) | ||||
0.699405 | + | 0.714725i | \(0.253448\pi\) | |||||||
\(110\) | −2.75811 | − | 15.6420i | −0.262976 | − | 1.49141i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.32295 | + | 3.39328i | −0.880936 | + | 0.320634i | ||||
\(113\) | −3.59721 | − | 3.01842i | −0.338397 | − | 0.283949i | 0.457714 | − | 0.889100i | \(-0.348668\pi\) |
−0.796111 | + | 0.605151i | \(0.793113\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.80541 | − | 0.657115i | −0.168355 | − | 0.0612762i | ||||
\(116\) | −3.28212 | − | 5.68479i | −0.304737 | − | 0.527820i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −13.1099 | + | 22.7071i | −1.20687 | + | 2.09036i | ||||
\(119\) | −5.27774 | + | 4.42855i | −0.483809 | + | 0.405964i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.08600 | + | 6.15901i | −0.0987272 | + | 0.559910i | ||||
\(122\) | −1.25692 | + | 7.12836i | −0.113796 | + | 0.645371i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.19846 | + | 5.20113i | −0.556638 | + | 0.467075i | ||||
\(125\) | 6.85240 | − | 11.8687i | 0.612897 | − | 1.06157i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.04576 | − | 5.27541i | −0.270267 | − | 0.468117i | 0.698663 | − | 0.715451i | \(-0.253779\pi\) |
−0.968930 | + | 0.247334i | \(0.920445\pi\) | |||||||
\(128\) | −1.78265 | − | 0.648833i | −0.157566 | − | 0.0573493i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 26.3444 | + | 22.1055i | 2.31055 | + | 1.93878i | ||||
\(131\) | 9.72432 | − | 3.53936i | 0.849618 | − | 0.309236i | 0.119733 | − | 0.992806i | \(-0.461796\pi\) |
0.729884 | + | 0.683571i | \(0.239574\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.53802 | + | 14.3938i | 0.220074 | + | 1.24810i | ||||
\(134\) | 28.1627 | 2.43289 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.697281 | −0.0597914 | ||||||||
\(137\) | −3.31402 | − | 18.7947i | −0.283136 | − | 1.60574i | −0.711870 | − | 0.702311i | \(-0.752151\pi\) |
0.428734 | − | 0.903431i | \(-0.358960\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 21.8983 | − | 7.97032i | 1.85739 | − | 0.676034i | 0.876517 | − | 0.481371i | \(-0.159861\pi\) |
0.980870 | − | 0.194662i | \(-0.0623610\pi\) | |||||||
\(140\) | 12.5094 | + | 10.4966i | 1.05723 | + | 0.887124i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.22668 | + | 0.810446i | 0.186859 | + | 0.0680111i | ||||
\(143\) | 5.13793 | + | 8.89915i | 0.429655 | + | 0.744184i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.46451 | − | 11.1969i | 0.536848 | − | 0.929848i | ||||
\(146\) | −7.06131 | + | 5.92514i | −0.584398 | + | 0.490368i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.786989 | − | 4.46324i | 0.0646901 | − | 0.366876i | ||||
\(149\) | −2.69258 | + | 15.2704i | −0.220585 | + | 1.25100i | 0.650363 | + | 0.759623i | \(0.274617\pi\) |
−0.870948 | + | 0.491375i | \(0.836494\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.52094 | + | 3.79352i | −0.367909 | + | 0.308713i | −0.807934 | − | 0.589273i | \(-0.799414\pi\) |
0.440025 | + | 0.897986i | \(0.354970\pi\) | |||||||
\(152\) | −0.739620 | + | 1.28106i | −0.0599911 | + | 0.103908i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.03596 | + | 8.72254i | 0.405809 | + | 0.702882i | ||||
\(155\) | −14.9761 | − | 5.45084i | −1.20291 | − | 0.437822i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.928548 | − | 0.779145i | −0.0741062 | − | 0.0621825i | 0.604982 | − | 0.796239i | \(-0.293180\pi\) |
−0.679088 | + | 0.734057i | \(0.737625\pi\) | |||||||
\(158\) | 23.6919 | − | 8.62314i | 1.88483 | − | 0.686020i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.04576 | + | 28.6159i | 0.398902 | + | 2.26229i | ||||
\(161\) | 1.21832 | 0.0960168 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.77332 | 0.217223 | 0.108612 | − | 0.994084i | \(-0.465360\pi\) | ||||
0.108612 | + | 0.994084i | \(0.465360\pi\) | |||||||
\(164\) | −0.815422 | − | 4.62449i | −0.0636737 | − | 0.361112i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −20.9217 | + | 7.61489i | −1.62384 | + | 0.591030i | ||||
\(167\) | 2.93247 | + | 2.46064i | 0.226922 | + | 0.190410i | 0.749159 | − | 0.662390i | \(-0.230458\pi\) |
−0.522237 | + | 0.852800i | \(0.674902\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.69119 | − | 3.16333i | −0.668553 | − | 0.243333i | ||||
\(170\) | 10.6998 | + | 18.5326i | 0.820635 | + | 1.42138i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.00000 | + | 1.73205i | −0.0762493 | + | 0.132068i | ||||
\(173\) | 5.38484 | − | 4.51842i | 0.409402 | − | 0.343529i | −0.414712 | − | 0.909953i | \(-0.636118\pi\) |
0.824114 | + | 0.566424i | \(0.191673\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.54710 | + | 20.1166i | −0.268136 | + | 1.52067i | ||||
\(176\) | −1.59894 | + | 9.06805i | −0.120525 | + | 0.683530i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.05509 | + | 0.885328i | −0.0790825 | + | 0.0663581i | ||||
\(179\) | −7.19269 | + | 12.4581i | −0.537607 | + | 0.931163i | 0.461425 | + | 0.887179i | \(0.347338\pi\) |
−0.999032 | + | 0.0439838i | \(0.985995\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.60014 | − | 11.4318i | −0.490584 | − | 0.849717i | 0.509357 | − | 0.860555i | \(-0.329883\pi\) |
−0.999941 | + | 0.0108384i | \(0.996550\pi\) | |||||||
\(182\) | −20.4923 | − | 7.45858i | −1.51899 | − | 0.552867i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0944557 | + | 0.0792577i | 0.00696336 | + | 0.00584296i | ||||
\(185\) | 8.38814 | − | 3.05303i | 0.616708 | − | 0.224463i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.11035 | + | 6.29710i | 0.0811967 | + | 0.460489i | ||||
\(188\) | 0.446476 | 0.0325626 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 45.3979 | 3.29351 | ||||||||
\(191\) | −2.33094 | − | 13.2194i | −0.168661 | − | 0.956523i | −0.945209 | − | 0.326465i | \(-0.894142\pi\) |
0.776548 | − | 0.630058i | \(-0.216969\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.1001 | + | 5.13203i | −1.01495 | + | 0.369412i | −0.795332 | − | 0.606174i | \(-0.792703\pi\) |
−0.219618 | + | 0.975586i | \(0.570481\pi\) | |||||||
\(194\) | −10.6922 | − | 8.97178i | −0.767652 | − | 0.644136i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.63176 | + | 0.957882i | 0.187983 | + | 0.0684201i | ||||
\(197\) | −11.1606 | − | 19.3307i | −0.795158 | − | 1.37725i | −0.922739 | − | 0.385426i | \(-0.874054\pi\) |
0.127580 | − | 0.991828i | \(-0.459279\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.55051 | − | 7.88171i | 0.322577 | − | 0.558720i | −0.658442 | − | 0.752631i | \(-0.728784\pi\) |
0.981019 | + | 0.193912i | \(0.0621176\pi\) | |||||||
\(200\) | −1.58370 | + | 1.32888i | −0.111984 | + | 0.0939659i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.59967 | + | 9.07218i | −0.112552 | + | 0.638316i | ||||
\(203\) | −1.42366 | + | 8.07398i | −0.0999214 | + | 0.566682i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.08512 | − | 5.94512i | 0.494846 | − | 0.415225i | ||||
\(206\) | 13.4166 | − | 23.2383i | 0.934781 | − | 1.61909i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −9.96838 | − | 17.2657i | −0.691183 | − | 1.19716i | ||||
\(209\) | 12.7469 | + | 4.63950i | 0.881723 | + | 0.320921i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.57919 | − | 3.84240i | −0.315245 | − | 0.264522i | 0.471411 | − | 0.881914i | \(-0.343745\pi\) |
−0.786656 | + | 0.617392i | \(0.788189\pi\) | |||||||
\(212\) | 8.24243 | − | 3.00000i | 0.566093 | − | 0.206041i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.97906 | − | 22.5663i | −0.272003 | − | 1.54260i | ||||
\(215\) | −3.93923 | −0.268653 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.1061 | 0.686045 | ||||||||
\(218\) | 4.99486 | + | 28.3273i | 0.338295 | + | 1.91857i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 14.2417 | − | 5.18355i | 0.960175 | − | 0.349475i | ||||
\(221\) | −10.6056 | − | 8.89915i | −0.713409 | − | 0.598621i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.36484 | + | 3.04455i | 0.560151 | + | 0.203878i | 0.606551 | − | 0.795045i | \(-0.292553\pi\) |
−0.0463999 | + | 0.998923i | \(0.514775\pi\) | |||||||
\(224\) | −9.21291 | − | 15.9572i | −0.615564 | − | 1.06619i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.62449 | − | 8.00984i | 0.307616 | − | 0.532807i | ||||
\(227\) | 8.17253 | − | 6.85756i | 0.542430 | − | 0.455152i | −0.329938 | − | 0.944003i | \(-0.607028\pi\) |
0.872368 | + | 0.488850i | \(0.162583\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.43629 | + | 8.14560i | −0.0949127 | + | 0.538276i | 0.899861 | + | 0.436176i | \(0.143667\pi\) |
−0.994774 | + | 0.102101i | \(0.967444\pi\) | |||||||
\(230\) | 0.657115 | − | 3.72668i | 0.0433288 | − | 0.245730i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.635630 | + | 0.533356i | −0.0417311 | + | 0.0350166i | ||||
\(233\) | 6.36965 | − | 11.0326i | 0.417290 | − | 0.722767i | −0.578376 | − | 0.815770i | \(-0.696313\pi\) |
0.995666 | + | 0.0930034i | \(0.0296467\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.439693 | + | 0.761570i | 0.0286824 | + | 0.0496793i | ||||
\(236\) | −23.5099 | − | 8.55690i | −1.53036 | − | 0.557007i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −10.3951 | − | 8.72254i | −0.673815 | − | 0.565398i | ||||
\(239\) | 14.1100 | − | 5.13563i | 0.912702 | − | 0.332196i | 0.157371 | − | 0.987540i | \(-0.449698\pi\) |
0.755331 | + | 0.655343i | \(0.227476\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.138156 | + | 0.783520i | 0.00889939 | + | 0.0504710i | 0.988934 | − | 0.148356i | \(-0.0473980\pi\) |
−0.980035 | + | 0.198827i | \(0.936287\pi\) | |||||||
\(242\) | −12.3180 | −0.791832 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.90673 | −0.442158 | ||||||||
\(245\) | 0.957882 | + | 5.43242i | 0.0611968 | + | 0.347064i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −27.5993 | + | 10.0453i | −1.75610 | + | 0.639168i | ||||
\(248\) | 0.783520 | + | 0.657451i | 0.0497536 | + | 0.0417482i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 25.3653 | + | 9.23222i | 1.60424 | + | 0.583897i | ||||
\(251\) | 4.15749 | + | 7.20099i | 0.262419 | + | 0.454522i | 0.966884 | − | 0.255216i | \(-0.0821465\pi\) |
−0.704465 | + | 0.709738i | \(0.748813\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.565360 | − | 0.979232i | 0.0355439 | − | 0.0615638i | ||||
\(254\) | 9.19096 | − | 7.71213i | 0.576692 | − | 0.483902i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.08260 | − | 17.4823i | 0.192662 | − | 1.09264i | ||||
\(257\) | 4.44891 | − | 25.2310i | 0.277515 | − | 1.57387i | −0.453341 | − | 0.891337i | \(-0.649768\pi\) |
0.730857 | − | 0.682531i | \(-0.239121\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.33615 | + | 3.63846i | −0.269435 | + | 0.226083i | ||||
\(260\) | −16.4073 | + | 28.4183i | −1.01754 | + | 1.76243i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 10.1912 | + | 17.6517i | 0.629614 | + | 1.09052i | ||||
\(263\) | 26.3725 | + | 9.59879i | 1.62620 | + | 0.591887i | 0.984548 | − | 0.175113i | \(-0.0560290\pi\) |
0.641648 | + | 0.767000i | \(0.278251\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 13.2344 | + | 11.1050i | 0.812984 | + | 0.682175i | ||||
\(266\) | −27.0515 | + | 9.84595i | −1.65864 | + | 0.603694i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.66637 | + | 26.4643i | 0.285044 | + | 1.61657i | ||||
\(269\) | 30.1710 | 1.83956 | 0.919778 | − | 0.392439i | \(-0.128369\pi\) | ||||
0.919778 | + | 0.392439i | \(0.128369\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.0000 | −1.15417 | −0.577084 | − | 0.816685i | \(-0.695809\pi\) | ||||
−0.577084 | + | 0.816685i | \(0.695809\pi\) | |||||||
\(272\) | −2.15425 | − | 12.2173i | −0.130620 | − | 0.740786i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 35.3225 | − | 12.8564i | 2.13391 | − | 0.776681i | ||||
\(275\) | 14.5229 | + | 12.1861i | 0.875762 | + | 0.734852i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −19.8478 | − | 7.22400i | −1.19254 | − | 0.434048i | −0.331923 | − | 0.943306i | \(-0.607697\pi\) |
−0.860613 | + | 0.509259i | \(0.829920\pi\) | |||||||
\(278\) | 22.9496 | + | 39.7499i | 1.37643 | + | 2.38404i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.03209 | − | 1.78763i | 0.0616791 | − | 0.106831i | ||||
\(281\) | 1.33851 | − | 1.12314i | 0.0798487 | − | 0.0670010i | −0.601990 | − | 0.798504i | \(-0.705625\pi\) |
0.681838 | + | 0.731503i | \(0.261181\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.26558 | + | 7.17745i | −0.0752308 | + | 0.426655i | 0.923809 | + | 0.382853i | \(0.125058\pi\) |
−0.999040 | + | 0.0438023i | \(0.986053\pi\) | |||||||
\(284\) | −0.392624 | + | 2.22668i | −0.0232980 | + | 0.132129i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.5043 | + | 13.0097i | −0.916791 | + | 0.769279i | ||||
\(287\) | −2.93247 | + | 5.07919i | −0.173098 | + | 0.299815i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.19253 | + | 7.26168i | 0.246620 | + | 0.427158i | ||||
\(290\) | 23.9294 | + | 8.70961i | 1.40519 | + | 0.511446i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.73783 | − | 5.65371i | −0.394301 | − | 0.330858i | ||||
\(293\) | −14.4251 | + | 5.25031i | −0.842725 | + | 0.306727i | −0.727070 | − | 0.686563i | \(-0.759119\pi\) |
−0.115654 | + | 0.993290i | \(0.536896\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.55690 | − | 48.5286i | −0.498202 | − | 2.82545i | ||||
\(296\) | −0.572881 | −0.0332980 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.5408 | −1.76918 | ||||||||
\(299\) | 0.425126 | + | 2.41101i | 0.0245857 | + | 0.139432i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.34730 | − | 0.854346i | 0.135296 | − | 0.0492437i | ||||
\(302\) | −8.90452 | − | 7.47178i | −0.512398 | − | 0.429953i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −24.7310 | − | 9.00135i | −1.41842 | − | 0.516263i | ||||
\(305\) | −6.80180 | − | 11.7811i | −0.389470 | − | 0.674581i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.38191 | + | 14.5179i | −0.478381 | + | 0.828580i | −0.999693 | − | 0.0247861i | \(-0.992110\pi\) |
0.521312 | + | 0.853366i | \(0.325443\pi\) | |||||||
\(308\) | −7.36208 | + | 6.17752i | −0.419493 | + | 0.351997i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.45084 | − | 30.9132i | 0.309587 | − | 1.75575i | ||||
\(311\) | −2.78239 | + | 15.7797i | −0.157775 | + | 0.894786i | 0.798430 | + | 0.602088i | \(0.205664\pi\) |
−0.956205 | + | 0.292698i | \(0.905447\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 26.3562 | − | 22.1155i | 1.48974 | − | 1.25004i | 0.594788 | − | 0.803883i | \(-0.297236\pi\) |
0.894954 | − | 0.446159i | \(-0.147208\pi\) | |||||||
\(314\) | 1.19372 | − | 2.06758i | 0.0673654 | − | 0.116680i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.0287 | + | 20.8343i | 0.676666 | + | 1.17202i | ||||
\(317\) | 15.3274 | + | 5.57873i | 0.860874 | + | 0.313332i | 0.734466 | − | 0.678646i | \(-0.237433\pi\) |
0.126408 | + | 0.991978i | \(0.459655\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.82888 | + | 4.89101i | 0.326355 | + | 0.273844i | ||||
\(320\) | −24.3759 | + | 8.87211i | −1.36266 | + | 0.495966i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.416689 | + | 2.36316i | 0.0232212 | + | 0.131694i | ||||
\(323\) | −18.2761 | −1.01691 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −41.0479 | −2.27693 | ||||||||
\(326\) | 0.948531 | + | 5.37939i | 0.0525343 | + | 0.297937i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.557781 | + | 0.203016i | −0.0307983 | + | 0.0112097i | ||||
\(329\) | −0.427173 | − | 0.358441i | −0.0235508 | − | 0.0197615i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 29.6755 | + | 10.8010i | 1.63111 | + | 0.593676i | 0.985453 | − | 0.169951i | \(-0.0543609\pi\) |
0.645658 | + | 0.763627i | \(0.276583\pi\) | |||||||
\(332\) | −10.6222 | − | 18.3983i | −0.582972 | − | 1.00974i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.76991 | + | 6.52968i | −0.206281 | + | 0.357288i | ||||
\(335\) | −40.5457 | + | 34.0219i | −2.21525 | + | 1.85881i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.04277 | − | 5.91382i | 0.0568031 | − | 0.322146i | −0.943144 | − | 0.332383i | \(-0.892147\pi\) |
0.999948 | + | 0.0102366i | \(0.00325846\pi\) | |||||||
\(338\) | 3.16333 | − | 17.9402i | 0.172063 | − | 0.975816i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −15.6420 | + | 13.1252i | −0.848308 | + | 0.711815i | ||||
\(341\) | 4.68972 | − | 8.12284i | 0.253963 | − | 0.439876i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.96451 | − | 17.2590i | −0.538033 | − | 0.931900i | ||||
\(344\) | 0.237565 | + | 0.0864665i | 0.0128086 | + | 0.00466196i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.6061 | + | 8.89955i | 0.570186 | + | 0.478443i | ||||
\(347\) | −21.6415 | + | 7.87686i | −1.16178 | + | 0.422852i | −0.849732 | − | 0.527216i | \(-0.823236\pi\) |
−0.312045 | + | 0.950067i | \(0.601014\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.00846 | − | 11.3905i | −0.107510 | − | 0.609721i | −0.990188 | − | 0.139742i | \(-0.955373\pi\) |
0.882678 | − | 0.469979i | \(-0.155738\pi\) | |||||||
\(350\) | −40.2332 | −2.15056 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −17.1010 | −0.911487 | ||||||||
\(353\) | −0.370674 | − | 2.10220i | −0.0197290 | − | 0.111889i | 0.973353 | − | 0.229312i | \(-0.0736476\pi\) |
−0.993082 | + | 0.117423i | \(0.962537\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.18479 | + | 1.52314i | −0.222106 | + | 0.0808399i | ||||
\(356\) | −1.00676 | − | 0.844770i | −0.0533581 | − | 0.0447727i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −26.6250 | − | 9.69069i | −1.40717 | − | 0.512169i | ||||
\(359\) | −12.1118 | − | 20.9782i | −0.639234 | − | 1.10719i | −0.985601 | − | 0.169087i | \(-0.945918\pi\) |
0.346367 | − | 0.938099i | \(-0.387415\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.88578 | + | 17.1227i | −0.520304 | + | 0.901193i | ||||
\(362\) | 19.9167 | − | 16.7121i | 1.04680 | − | 0.878370i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.61334 | − | 20.4923i | 0.189391 | − | 1.07409i | ||||
\(365\) | 3.00827 | − | 17.0608i | 0.157460 | − | 0.893002i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.17159 | + | 1.82218i | −0.113356 | + | 0.0951170i | −0.697704 | − | 0.716386i | \(-0.745795\pi\) |
0.584348 | + | 0.811503i | \(0.301350\pi\) | |||||||
\(368\) | −1.09689 | + | 1.89986i | −0.0571792 | + | 0.0990372i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.79086 | + | 15.2262i | 0.457015 | + | 0.791573i | ||||
\(371\) | −10.2946 | − | 3.74691i | −0.534467 | − | 0.194530i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −22.0876 | − | 18.5337i | −1.14366 | − | 0.959641i | −0.144103 | − | 0.989563i | \(-0.546030\pi\) |
−0.999552 | + | 0.0299222i | \(0.990474\pi\) | |||||||
\(374\) | −11.8347 | + | 4.30747i | −0.611956 | + | 0.222734i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.00980018 | − | 0.0555796i | −0.000505406 | − | 0.00286630i | ||||
\(377\) | −16.4749 | −0.848501 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 32.1985 | 1.65393 | 0.826963 | − | 0.562256i | \(-0.190066\pi\) | ||||
0.826963 | + | 0.562256i | \(0.190066\pi\) | |||||||
\(380\) | 7.52211 | + | 42.6600i | 0.385876 | + | 2.18841i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 24.8444 | − | 9.04261i | 1.27115 | − | 0.462660i | ||||
\(383\) | 0.514973 | + | 0.432114i | 0.0263139 | + | 0.0220800i | 0.655850 | − | 0.754891i | \(-0.272310\pi\) |
−0.629536 | + | 0.776971i | \(0.716755\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −17.7875 | − | 6.47410i | −0.906533 | − | 0.329951i | ||||
\(386\) | −14.7771 | − | 25.5947i | −0.752134 | − | 1.30273i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.65910 | − | 11.5339i | 0.338065 | − | 0.585545i | ||||
\(389\) | −3.26281 | + | 2.73783i | −0.165431 | + | 0.138813i | −0.721745 | − | 0.692159i | \(-0.756660\pi\) |
0.556314 | + | 0.830972i | \(0.312215\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.264538 | + | 1.50027i | −0.0133783 | + | 0.0758719i | ||||
\(392\) | 0.0614747 | − | 0.348641i | 0.00310494 | − | 0.0176090i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 33.6785 | − | 28.2596i | 1.69670 | − | 1.42370i | ||||
\(395\) | −23.6919 | + | 41.0355i | −1.19207 | + | 2.06472i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.43242 | + | 7.67717i | 0.222457 | + | 0.385306i | 0.955553 | − | 0.294818i | \(-0.0952591\pi\) |
−0.733097 | + | 0.680124i | \(0.761926\pi\) | |||||||
\(398\) | 16.8445 | + | 6.13088i | 0.844336 | + | 0.307313i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −28.1766 | − | 23.6430i | −1.40883 | − | 1.18215i | ||||
\(401\) | −34.8475 | + | 12.6834i | −1.74020 | + | 0.633381i | −0.999270 | − | 0.0382006i | \(-0.987837\pi\) |
−0.740930 | + | 0.671582i | \(0.765615\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.52646 | + | 19.9996i | 0.175666 | + | 0.996250i | ||||
\(404\) | −8.79012 | −0.437325 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −16.1480 | −0.801410 | ||||||||
\(407\) | 0.912254 | + | 5.17365i | 0.0452187 | + | 0.256448i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.18479 | − | 1.15917i | 0.157478 | − | 0.0573173i | −0.262078 | − | 0.965047i | \(-0.584408\pi\) |
0.419556 | + | 0.907729i | \(0.362186\pi\) | |||||||
\(410\) | 13.9550 | + | 11.7096i | 0.689187 | + | 0.578296i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 24.0599 | + | 8.75709i | 1.18535 | + | 0.431431i | ||||
\(413\) | 15.6238 | + | 27.0612i | 0.768798 | + | 1.33160i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.9217 | − | 36.2375i | 1.02701 | − | 1.77883i | ||||
\(416\) | 28.3640 | − | 23.8002i | 1.39066 | − | 1.16690i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.63950 | + | 26.3119i | −0.226925 | + | 1.28696i | ||||
\(419\) | −3.58694 | + | 20.3425i | −0.175233 | + | 0.993799i | 0.762641 | + | 0.646823i | \(0.223903\pi\) |
−0.937874 | + | 0.346976i | \(0.887209\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.0915 | − | 17.6979i | 1.02794 | − | 0.862542i | 0.0373336 | − | 0.999303i | \(-0.488114\pi\) |
0.990604 | + | 0.136761i | \(0.0436691\pi\) | |||||||
\(422\) | 5.88690 | − | 10.1964i | 0.286570 | − | 0.496353i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.554378 | − | 0.960210i | −0.0269230 | − | 0.0466319i | ||||
\(425\) | −24.0020 | − | 8.73601i | −1.16427 | − | 0.423759i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.60813 | + | 5.54488i | 0.319790 | + | 0.268335i | ||||
\(428\) | 20.5461 | − | 7.47818i | 0.993134 | − | 0.361471i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.34730 | − | 7.64090i | −0.0649724 | − | 0.368477i | ||||
\(431\) | −2.58110 | −0.124327 | −0.0621636 | − | 0.998066i | \(-0.519800\pi\) | ||||
−0.0621636 | + | 0.998066i | \(0.519800\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −27.0137 | −1.29820 | −0.649098 | − | 0.760704i | \(-0.724854\pi\) | ||||
−0.649098 | + | 0.760704i | \(0.724854\pi\) | |||||||
\(434\) | 3.45648 | + | 19.6027i | 0.165916 | + | 0.940958i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −25.7913 | + | 9.38728i | −1.23518 | + | 0.449569i | ||||
\(437\) | 2.47573 | + | 2.07738i | 0.118430 | + | 0.0993746i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.0039 | − | 4.00508i | −0.525186 | − | 0.191152i | 0.0658015 | − | 0.997833i | \(-0.479040\pi\) |
−0.590988 | + | 0.806681i | \(0.701262\pi\) | |||||||
\(440\) | −0.957882 | − | 1.65910i | −0.0456652 | − | 0.0790945i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 13.6343 | − | 23.6153i | 0.648517 | − | 1.12326i | ||||
\(443\) | 1.59397 | − | 1.33750i | 0.0757316 | − | 0.0635464i | −0.604136 | − | 0.796881i | \(-0.706482\pi\) |
0.679868 | + | 0.733335i | \(0.262037\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.449493 | − | 2.54920i | 0.0213080 | − | 0.120844i | ||||
\(446\) | −3.04455 | + | 17.2665i | −0.144164 | + | 0.817593i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 12.6009 | − | 10.5734i | 0.595334 | − | 0.499545i | ||||
\(449\) | −5.27541 | + | 9.13728i | −0.248962 | + | 0.431215i | −0.963238 | − | 0.268649i | \(-0.913423\pi\) |
0.714276 | + | 0.699864i | \(0.246756\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.72163 | + | 4.71400i | 0.128157 | + | 0.221974i | ||||
\(452\) | 8.29304 | + | 3.01842i | 0.390072 | + | 0.141974i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 16.0967 | + | 13.5068i | 0.755457 | + | 0.633904i | ||||
\(455\) | 38.5129 | − | 14.0175i | 1.80551 | − | 0.657152i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.37346 | − | 7.78925i | −0.0642475 | − | 0.364366i | −0.999934 | − | 0.0115320i | \(-0.996329\pi\) |
0.935686 | − | 0.352834i | \(-0.114782\pi\) | |||||||
\(458\) | −16.2912 | −0.761238 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.61081 | 0.168355 | ||||||||
\(461\) | −6.78839 | − | 38.4989i | −0.316167 | − | 1.79307i | −0.565600 | − | 0.824679i | \(-0.691356\pi\) |
0.249434 | − | 0.968392i | \(-0.419756\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −22.2640 | + | 8.10343i | −1.03470 | + | 0.376598i | −0.802867 | − | 0.596158i | \(-0.796693\pi\) |
−0.231828 | + | 0.972757i | \(0.574471\pi\) | |||||||
\(464\) | −11.3089 | − | 9.48932i | −0.525004 | − | 0.440531i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 23.5783 | + | 8.58180i | 1.09224 | + | 0.397544i | ||||
\(467\) | 17.3576 | + | 30.0642i | 0.803214 | + | 1.39121i | 0.917490 | + | 0.397758i | \(0.130212\pi\) |
−0.114277 | + | 0.993449i | \(0.536455\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.7815 | − | 29.0665i | 0.774899 | − | 1.34216i | ||||
\(470\) | −1.32683 | + | 1.11334i | −0.0612020 | + | 0.0513546i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.549163 | + | 3.11446i | −0.0252773 | + | 0.143355i | ||||
\(473\) | 0.402575 | − | 2.28312i | 0.0185104 | − | 0.104978i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −41.5094 | + | 34.8305i | −1.90458 | + | 1.59813i | ||||
\(476\) | 6.47410 | − | 11.2135i | 0.296740 | − | 0.513969i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 14.7875 | + | 25.6126i | 0.676362 | + | 1.17149i | ||||
\(479\) | 6.09083 | + | 2.21688i | 0.278297 | + | 0.101292i | 0.477398 | − | 0.878687i | \(-0.341580\pi\) |
−0.199101 | + | 0.979979i | \(0.563802\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.71348 | − | 7.31148i | −0.397300 | − | 0.333375i | ||||
\(482\) | −1.47254 | + | 0.535959i | −0.0670722 | + | 0.0244123i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.04101 | − | 11.5752i | −0.0927733 | − | 0.526143i | ||||
\(485\) | 26.2317 | 1.19112 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.9828 | 0.905505 | 0.452753 | − | 0.891636i | \(-0.350442\pi\) | ||||
0.452753 | + | 0.891636i | \(0.350442\pi\) | |||||||
\(488\) | 0.151603 | + | 0.859785i | 0.00686276 | + | 0.0389206i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −10.2096 | + | 3.71599i | −0.461223 | + | 0.167871i | ||||
\(491\) | −20.0911 | − | 16.8584i | −0.906699 | − | 0.760811i | 0.0647892 | − | 0.997899i | \(-0.479363\pi\) |
−0.971488 | + | 0.237088i | \(0.923807\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −9.63341 | − | 3.50627i | −0.433867 | − | 0.157915i | ||||
\(494\) | −28.9243 | − | 50.0984i | −1.30137 | − | 2.25403i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.09879 | + | 15.7596i | −0.408548 | + | 0.707626i | ||||
\(497\) | 2.16328 | − | 1.81521i | 0.0970364 | − | 0.0814232i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.09698 | − | 6.22129i | 0.0491077 | − | 0.278503i | −0.950359 | − | 0.311155i | \(-0.899284\pi\) |
0.999467 | + | 0.0326518i | \(0.0103952\pi\) | |||||||
\(500\) | −4.47259 | + | 25.3653i | −0.200020 | + | 1.13437i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −12.5458 | + | 10.5271i | −0.559945 | + | 0.469849i | ||||
\(503\) | 10.9131 | − | 18.9020i | 0.486589 | − | 0.842798i | −0.513292 | − | 0.858214i | \(-0.671574\pi\) |
0.999881 | + | 0.0154166i | \(0.00490745\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.65657 | − | 14.9936i | −0.385212 | − | 0.667208i | ||||
\(506\) | 2.09277 | + | 0.761707i | 0.0930351 | + | 0.0338620i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.76991 | + | 7.35883i | 0.389102 | + | 0.326495i | ||||
\(509\) | −27.3386 | + | 9.95043i | −1.21176 | + | 0.441045i | −0.867314 | − | 0.497761i | \(-0.834156\pi\) |
−0.344447 | + | 0.938806i | \(0.611933\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.90760 | + | 10.8186i | 0.0843874 | + | 0.478585i | ||||
\(512\) | 31.1704 | 1.37755 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 50.4620 | 2.22579 | ||||||||
\(515\) | 8.75709 | + | 49.6639i | 0.385883 | + | 2.18845i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.486329 | + | 0.177009i | −0.0213887 | + | 0.00778487i | ||||
\(518\) | −8.54055 | − | 7.16637i | −0.375250 | − | 0.314872i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.89780 | + | 1.41868i | 0.170930 | + | 0.0622134i | ||||
\(521\) | 6.84743 | + | 11.8601i | 0.299991 | + | 0.519600i | 0.976134 | − | 0.217171i | \(-0.0696829\pi\) |
−0.676142 | + | 0.736771i | \(0.736350\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.57532 | + | 11.3888i | −0.287519 | + | 0.497997i | −0.973217 | − | 0.229889i | \(-0.926164\pi\) |
0.685698 | + | 0.727886i | \(0.259497\pi\) | |||||||
\(524\) | −14.8985 | + | 12.5013i | −0.650845 | + | 0.546124i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.59879 | + | 54.4375i | −0.418527 | + | 2.37359i | ||||
\(527\) | −2.19437 | + | 12.4449i | −0.0955884 | + | 0.542109i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.4127 | + | 14.6110i | −0.757072 | + | 0.635259i | ||||
\(530\) | −17.0138 | + | 29.4688i | −0.739034 | + | 1.28004i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −13.7344 | − | 23.7887i | −0.595463 | − | 1.03137i | ||||
\(533\) | −11.0748 | − | 4.03091i | −0.479704 | − | 0.174598i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 32.9898 | + | 27.6817i | 1.42627 | + | 1.19679i | ||||
\(536\) | 3.19199 | − | 1.16179i | 0.137873 | − | 0.0501816i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.3191 | + | 58.5224i | 0.444887 | + | 2.52308i | ||||
\(539\) | −3.24644 | −0.139834 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.26083 | 0.269174 | 0.134587 | − | 0.990902i | \(-0.457029\pi\) | ||||
0.134587 | + | 0.990902i | \(0.457029\pi\) | |||||||
\(542\) | −6.49838 | − | 36.8542i | −0.279129 | − | 1.58302i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 21.6506 | − | 7.88019i | 0.928264 | − | 0.337860i | ||||
\(545\) | −41.4117 | − | 34.7486i | −1.77388 | − | 1.48846i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 29.4859 | + | 10.7320i | 1.26073 | + | 0.458867i | 0.884013 | − | 0.467463i | \(-0.154832\pi\) |
0.376714 | + | 0.926330i | \(0.377054\pi\) | |||||||
\(548\) | 17.9337 | + | 31.0621i | 0.766091 | + | 1.32691i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −18.6702 | + | 32.3378i | −0.796102 | + | 1.37889i | ||||
\(551\) | −16.6601 | + | 13.9795i | −0.709746 | + | 0.595548i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.21760 | − | 29.5905i | 0.221875 | − | 1.25831i | ||||
\(554\) | 7.22400 | − | 40.9693i | 0.306918 | − | 1.74062i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −33.5501 | + | 28.1519i | −1.42284 | + | 1.19391i | ||||
\(557\) | 21.7196 | − | 37.6195i | 0.920290 | − | 1.59399i | 0.121324 | − | 0.992613i | \(-0.461286\pi\) |
0.798966 | − | 0.601376i | \(-0.205381\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.50980 | + | 4.34710i | 0.106153 | + | 0.183863i | ||||
\(560\) | 34.5104 | + | 12.5608i | 1.45833 | + | 0.530790i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.63634 | + | 2.21216i | 0.111207 | + | 0.0933142i | ||||
\(563\) | 30.0867 | − | 10.9507i | 1.26800 | − | 0.461516i | 0.381557 | − | 0.924345i | \(-0.375388\pi\) |
0.886447 | + | 0.462829i | \(0.153166\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.01842 | + | 17.1183i | 0.126986 | + | 0.720172i | ||||
\(566\) | −14.3549 | −0.603381 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.285807 | 0.0119922 | ||||||||
\(569\) | −1.17594 | − | 6.66906i | −0.0492978 | − | 0.279582i | 0.950187 | − | 0.311681i | \(-0.100892\pi\) |
−0.999485 | + | 0.0320990i | \(0.989781\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.8773 | − | 7.23475i | 0.831840 | − | 0.302765i | 0.109226 | − | 0.994017i | \(-0.465163\pi\) |
0.722614 | + | 0.691252i | \(0.242940\pi\) | |||||||
\(572\) | −14.7941 | − | 12.4137i | −0.618571 | − | 0.519043i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.8550 | − | 3.95091i | −0.453080 | − | 0.164908i | ||||
\(575\) | 2.25838 | + | 3.91164i | 0.0941811 | + | 0.163127i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.95811 | + | 10.3198i | −0.248039 | + | 0.429617i | −0.962982 | − | 0.269567i | \(-0.913120\pi\) |
0.714942 | + | 0.699183i | \(0.246453\pi\) | |||||||
\(578\) | −12.6515 | + | 10.6159i | −0.526233 | + | 0.441562i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.21941 | + | 23.9294i | −0.175201 | + | 0.993616i | ||||
\(581\) | −4.60754 | + | 26.1306i | −0.191153 | + | 1.08408i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.78880 | + | 6.53558i | −0.322579 | + | 0.270676i | ||||
\(584\) | −0.555907 | + | 0.962859i | −0.0230036 | + | 0.0398434i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.1177 | − | 26.1846i | −0.624506 | − | 1.08168i | ||||
\(587\) | 0.122030 | + | 0.0444153i | 0.00503672 | + | 0.00183322i | 0.344537 | − | 0.938773i | \(-0.388036\pi\) |
−0.339501 | + | 0.940606i | \(0.610258\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 20.5364 | + | 17.2321i | 0.846189 | + | 0.710037i | ||||
\(590\) | 91.2040 | − | 33.1955i | 3.75481 | − | 1.36664i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.76991 | − | 10.0377i | −0.0727431 | − | 0.412546i | ||||
\(593\) | 26.2622 | 1.07846 | 0.539230 | − | 0.842158i | \(-0.318715\pi\) | ||||
0.539230 | + | 0.842158i | \(0.318715\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 25.5030 | 1.04552 | ||||||||
\(596\) | −5.06040 | − | 28.6989i | −0.207282 | − | 1.17555i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.53121 | + | 1.64923i | −0.185295 | + | 0.0674419i | ||||
\(599\) | 21.1391 | + | 17.7378i | 0.863721 | + | 0.724748i | 0.962766 | − | 0.270335i | \(-0.0871345\pi\) |
−0.0990454 | + | 0.995083i | \(0.531579\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.25237 | − | 0.455827i | −0.0510854 | − | 0.0185936i | 0.316351 | − | 0.948642i | \(-0.397542\pi\) |
−0.367436 | + | 0.930049i | \(0.619764\pi\) | |||||||
\(602\) | 2.45999 | + | 4.26083i | 0.100262 | + | 0.173658i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.54576 | − | 9.60554i | 0.225654 | − | 0.390844i | ||||
\(605\) | 17.7342 | − | 14.8807i | 0.720996 | − | 0.604988i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.18180 | + | 12.3736i | −0.0885565 | + | 0.502229i | 0.907976 | + | 0.419023i | \(0.137627\pi\) |
−0.996532 | + | 0.0832064i | \(0.973484\pi\) | |||||||
\(608\) | 8.48762 | − | 48.1357i | 0.344218 | − | 1.95216i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 20.5253 | − | 17.2228i | 0.831044 | − | 0.697329i | ||||
\(611\) | 0.560282 | − | 0.970437i | 0.0226666 | − | 0.0392597i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.99912 | + | 12.1228i | 0.282692 | + | 0.489637i | 0.972047 | − | 0.234787i | \(-0.0754393\pi\) |
−0.689355 | + | 0.724424i | \(0.742106\pi\) | |||||||
\(614\) | −31.0270 | − | 11.2929i | −1.25215 | − | 0.455745i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.930608 | + | 0.780873i | 0.0374953 | + | 0.0314623i | ||||
\(617\) | −22.5965 | + | 8.22446i | −0.909702 | + | 0.331104i | −0.754134 | − | 0.656721i | \(-0.771943\pi\) |
−0.155568 | + | 0.987825i | \(0.549721\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.19325 | + | 6.76725i | 0.0479607 | + | 0.271999i | 0.999352 | − | 0.0359850i | \(-0.0114569\pi\) |
−0.951392 | + | 0.307984i | \(0.900346\pi\) | |||||||
\(620\) | 29.9521 | 1.20291 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −31.5594 | −1.26542 | ||||||||
\(623\) | 0.285032 | + | 1.61650i | 0.0114196 | + | 0.0647635i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.78359 | + | 2.46902i | −0.271343 | + | 0.0987609i | ||||
\(626\) | 51.9116 | + | 43.5590i | 2.07481 | + | 1.74097i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.14068 | + | 0.779145i | 0.0854225 | + | 0.0310913i | ||||
\(629\) | −3.53898 | − | 6.12970i | −0.141109 | − | 0.244407i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.6887 | − | 30.6377i | 0.704175 | − | 1.21967i | −0.262814 | − | 0.964847i | \(-0.584651\pi\) |
0.966989 | − | 0.254820i | \(-0.0820161\pi\) | |||||||
\(632\) | 2.32953 | − | 1.95471i | 0.0926637 | − | 0.0777541i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.57873 | + | 31.6385i | −0.221560 | + | 1.25653i | ||||
\(635\) | −3.91555 | + | 22.2062i | −0.155384 | + | 0.881226i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.38460 | − | 4.51822i | 0.213346 | − | 0.179018i | ||||
\(638\) | −7.49346 | + | 12.9791i | −0.296669 | + | 0.513846i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.51114 | + | 6.08148i | 0.138790 | + | 0.240392i | ||||
\(641\) | 18.0174 | + | 6.55778i | 0.711643 | + | 0.259017i | 0.672374 | − | 0.740212i | \(-0.265275\pi\) |
0.0392691 | + | 0.999229i | \(0.487497\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14.8432 | + | 12.4549i | 0.585358 | + | 0.491173i | 0.886702 | − | 0.462342i | \(-0.152991\pi\) |
−0.301344 | + | 0.953516i | \(0.597435\pi\) | |||||||
\(644\) | −2.15160 | + | 0.783119i | −0.0847849 | + | 0.0308592i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.25078 | − | 35.4499i | −0.245934 | − | 1.39476i | ||||
\(647\) | 8.77141 | 0.344840 | 0.172420 | − | 0.985024i | \(-0.444841\pi\) | ||||
0.172420 | + | 0.985024i | \(0.444841\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.0009 | 1.13839 | ||||||||
\(650\) | −14.0392 | − | 79.6203i | −0.550663 | − | 3.12296i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.89780 | + | 1.78265i | −0.191813 | + | 0.0698141i | ||||
\(653\) | 25.1334 | + | 21.0895i | 0.983547 | + | 0.825294i | 0.984621 | − | 0.174705i | \(-0.0558972\pi\) |
−0.00107333 | + | 0.999999i | \(0.500342\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −35.9962 | − | 13.1015i | −1.40649 | − | 0.511920i | ||||
\(656\) | −5.28039 | − | 9.14590i | −0.206164 | − | 0.357087i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.549163 | − | 0.951178i | 0.0214086 | − | 0.0370808i | ||||
\(659\) | 14.2880 | − | 11.9890i | 0.556580 | − | 0.467026i | −0.320582 | − | 0.947221i | \(-0.603879\pi\) |
0.877162 | + | 0.480195i | \(0.159434\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.32207 | − | 35.8542i | 0.245900 | − | 1.39457i | −0.572493 | − | 0.819910i | \(-0.694024\pi\) |
0.818393 | − | 0.574659i | \(-0.194865\pi\) | |||||||
\(662\) | −10.8010 | + | 61.2554i | −0.419792 | + | 2.38076i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.05715 | + | 1.72616i | −0.0798330 | + | 0.0669878i | ||||
\(665\) | 27.0515 | − | 46.8546i | 1.04901 | − | 1.81694i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.906422 | + | 1.56997i | 0.0350968 | + | 0.0607894i | ||||
\(668\) | −6.76055 | − | 2.46064i | −0.261573 | − | 0.0952049i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −79.8594 | − | 67.0100i | −3.08524 | − | 2.58882i | ||||
\(671\) | 7.52324 | − | 2.73824i | 0.290432 | − | 0.105708i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.84002 | + | 38.7917i | 0.263663 | + | 1.49531i | 0.772814 | + | 0.634632i | \(0.218849\pi\) |
−0.509151 | + | 0.860677i | \(0.670040\pi\) | |||||||
\(674\) | 11.8276 | 0.455584 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 17.3824 | 0.668553 | ||||||||
\(677\) | 5.50038 | + | 31.1942i | 0.211397 | + | 1.19889i | 0.887051 | + | 0.461671i | \(0.152750\pi\) |
−0.675654 | + | 0.737218i | \(0.736139\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −15.6309 | + | 5.68918i | −0.599858 | + | 0.218331i | ||||
\(680\) | 1.97724 | + | 1.65910i | 0.0758236 | + | 0.0636236i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 17.3598 | + | 6.31844i | 0.664741 | + | 0.241946i | ||||
\(683\) | 14.5328 | + | 25.1716i | 0.556083 | + | 0.963164i | 0.997818 | + | 0.0660187i | \(0.0210297\pi\) |
−0.441735 | + | 0.897145i | \(0.645637\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −35.3225 | + | 61.1804i | −1.34960 | + | 2.33758i | ||||
\(686\) | 30.0692 | − | 25.2310i | 1.14805 | − | 0.963325i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.781059 | + | 4.42961i | −0.0297776 | + | 0.168877i | ||||
\(689\) | 3.82278 | − | 21.6800i | 0.145636 | − | 0.825944i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.10401 | − | 3.44367i | 0.156124 | − | 0.131003i | −0.561380 | − | 0.827558i | \(-0.689729\pi\) |
0.717503 | + | 0.696555i | \(0.245285\pi\) | |||||||
\(692\) | −6.60549 | + | 11.4410i | −0.251103 | + | 0.434923i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.6805 | − | 39.2838i | −0.860940 | − | 1.49119i | ||||
\(695\) | −81.0601 | − | 29.5035i | −3.07478 | − | 1.11913i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.61793 | − | 4.71400i | −0.212794 | − | 0.178555i | ||||
\(698\) | 21.4072 | − | 7.79157i | 0.810274 | − | 0.294915i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −6.66637 | − | 37.8069i | −0.251965 | − | 1.42897i | ||||
\(701\) | −25.6536 | −0.968922 | −0.484461 | − | 0.874813i | \(-0.660984\pi\) | ||||
−0.484461 | + | 0.874813i | \(0.660984\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −15.0155 | −0.566320 | ||||||||
\(704\) | −2.65101 | − | 15.0346i | −0.0999136 | − | 0.566638i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.95084 | − | 1.43799i | 0.148692 | − | 0.0541194i | ||||
\(707\) | 8.41009 | + | 7.05690i | 0.316294 | + | 0.265402i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.40760 | + | 1.60424i | 0.165531 | + | 0.0602484i | 0.423456 | − | 0.905916i | \(-0.360817\pi\) |
−0.257925 | + | 0.966165i | \(0.583039\pi\) | |||||||
\(710\) | −4.38571 | − | 7.59627i | −0.164593 | − | 0.285083i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.0830629 | + | 0.143869i | −0.00311291 | + | 0.00539173i | ||||
\(713\) | 1.71183 | − | 1.43639i | 0.0641085 | − | 0.0537934i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.60519 | − | 37.4599i | 0.247020 | − | 1.40092i | ||||
\(716\) | 4.69470 | − | 26.6250i | 0.175449 | − | 0.995021i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 36.5488 | − | 30.6680i | 1.36399 | − | 1.14452i | ||||
\(719\) | −19.5335 | + | 33.8330i | −0.728476 | + | 1.26176i | 0.229052 | + | 0.973414i | \(0.426438\pi\) |
−0.957527 | + | 0.288343i | \(0.906896\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.9893 | − | 27.6943i | −0.595473 | − | 1.03139i | ||||
\(722\) | −36.5939 | − | 13.3191i | −1.36188 | − | 0.495685i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 19.0043 | + | 15.9465i | 0.706291 | + | 0.592648i | ||||
\(725\) | −28.5621 | + | 10.3957i | −1.06077 | + | 0.386088i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.87980 | − | 10.6609i | −0.0697178 | − | 0.395389i | −0.999620 | − | 0.0275812i | \(-0.991220\pi\) |
0.929902 | − | 0.367808i | \(-0.119892\pi\) | |||||||
\(728\) | −2.63030 | −0.0974853 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 34.1215 | 1.26290 | ||||||||
\(731\) | 0.542388 | + | 3.07604i | 0.0200610 | + | 0.113771i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.20661 | − | 1.16711i | 0.118439 | − | 0.0431083i | −0.282121 | − | 0.959379i | \(-0.591038\pi\) |
0.400560 | + | 0.916271i | \(0.368816\pi\) | |||||||
\(734\) | −4.27719 | − | 3.58899i | −0.157874 | − | 0.132472i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.82857 | − | 1.39349i | −0.141123 | − | 0.0513646i | ||||
\(737\) | −15.5749 | − | 26.9766i | −0.573710 | − | 0.993695i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −13.1505 | + | 22.7773i | −0.483748 | + | 0.837877i | −0.999826 | − | 0.0186653i | \(-0.994058\pi\) |
0.516077 | + | 0.856542i | \(0.327392\pi\) | |||||||
\(740\) | −12.8514 | + | 10.7836i | −0.472426 | + | 0.396412i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.74691 | − | 21.2498i | 0.137553 | − | 0.780104i | ||||
\(743\) | 5.02606 | − | 28.5042i | 0.184388 | − | 1.04572i | −0.742351 | − | 0.670011i | \(-0.766289\pi\) |
0.926739 | − | 0.375706i | \(-0.122600\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 43.9693 | − | 36.8946i | 1.61091 | − | 1.35171i | ||||
\(746\) | 28.3953 | − | 49.1822i | 1.03963 | − | 1.80069i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.00862 | − | 10.4072i | −0.219697 | − | 0.380526i | ||||
\(749\) | −25.6615 | − | 9.34002i | −0.937651 | − | 0.341277i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.8983 | − | 12.5011i | −0.543646 | − | 0.456173i | 0.329137 | − | 0.944282i | \(-0.393242\pi\) |
−0.872782 | + | 0.488109i | \(0.837687\pi\) | |||||||
\(752\) | 0.943555 | − | 0.343426i | 0.0344079 | − | 0.0125235i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −5.63475 | − | 31.9563i | −0.205206 | − | 1.16378i | ||||
\(755\) | 21.8460 | 0.795058 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.59627 | 0.239745 | 0.119873 | − | 0.992789i | \(-0.461751\pi\) | ||||
0.119873 | + | 0.992789i | \(0.461751\pi\) | |||||||
\(758\) | 11.0125 | + | 62.4552i | 0.399994 | + | 2.26848i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.14543 | − | 1.87278i | 0.186644 | − | 0.0679330i | ||||
\(761\) | 7.91301 | + | 6.63980i | 0.286846 | + | 0.240693i | 0.774844 | − | 0.632152i | \(-0.217828\pi\) |
−0.487998 | + | 0.872845i | \(0.662273\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 32.2126 | + | 11.7244i | 1.16617 | + | 0.424453i | ||||
\(764\) | 12.6138 | + | 21.8478i | 0.456352 | + | 0.790424i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.662037 | + | 1.14668i | −0.0239204 | + | 0.0414313i | ||||
\(767\) | −48.1014 | + | 40.3619i | −1.73684 | + | 1.45738i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.78968 | − | 44.1775i | 0.280903 | − | 1.59308i | −0.438660 | − | 0.898653i | \(-0.644547\pi\) |
0.719563 | − | 0.694427i | \(-0.244342\pi\) | |||||||
\(770\) | 6.47410 | − | 36.7165i | 0.233311 | − | 1.32317i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 21.6027 | − | 18.1268i | 0.777497 | − | 0.652397i | ||||
\(773\) | −21.4677 | + | 37.1832i | −0.772141 | + | 1.33739i | 0.164247 | + | 0.986419i | \(0.447481\pi\) |
−0.936388 | + | 0.350968i | \(0.885853\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 18.7335 | + | 32.4475i | 0.672929 | + | 1.16555i | ||||
\(776\) | −1.58197 | − | 0.575789i | −0.0567893 | − | 0.0206696i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.42649 | − | 5.39246i | −0.230401 | − | 0.193329i | ||||
\(779\) | −14.6197 | + | 5.32114i | −0.523805 | + | 0.190650i | ||||
\(780\) | 0 | 0 |