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 | 649.2 | ||
Root | \(0.642788 + 0.766044i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.649 |
Dual form | 729.2.e.m.82.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 | −0.585863 | − | 0.810410i | \(-0.699244\pi\) |
0.827708 | − | 0.561160i | \(-0.189645\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.76604 | − | 0.642788i | −0.883022 | − | 0.321394i | ||||
\(5\) | −2.83564 | + | 2.37939i | −1.26814 | + | 1.06409i | −0.273372 | + | 0.961908i | \(0.588139\pi\) |
−0.994765 | + | 0.102185i | \(0.967417\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.20574 | − | 0.802823i | 0.833690 | − | 0.303438i | 0.110318 | − | 0.993896i | \(-0.464813\pi\) |
0.723373 | + | 0.690458i | \(0.242591\pi\) | |||||||
\(8\) | 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 | 0.858720 | − | 0.512444i | \(-0.171260\pi\) |
−0.355544 | + | 0.934660i | \(0.615704\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.819078 | − | 4.64522i | −0.227171 | − | 1.28835i | −0.858490 | − | 0.512829i | \(-0.828597\pi\) |
0.631319 | − | 0.775523i | \(-0.282514\pi\) | |||||||
\(14\) | −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 | 0.631342 | − | 0.775505i | \(-0.282504\pi\) |
−0.987278 | + | 0.159006i | \(0.949171\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.11334 | − | 5.39246i | 0.714249 | − | 1.23712i | −0.248999 | − | 0.968504i | \(-0.580102\pi\) |
0.963248 | − | 0.268612i | \(-0.0865651\pi\) | |||||||
\(20\) | 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 | 0.392368 | − | 0.919808i | \(-0.371656\pi\) |
−0.290670 | + | 0.956823i | \(0.593878\pi\) | |||||||
\(24\) | 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 | −0.875272 | − | 0.483631i | \(-0.839318\pi\) |
0.987898 | − | 0.155104i | \(-0.0495712\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.04576 | + | 1.47254i | 0.726640 | + | 0.264475i | 0.678742 | − | 0.734377i | \(-0.262526\pi\) |
0.0478980 | + | 0.998852i | \(0.484748\pi\) | |||||||
\(32\) | −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 | 0.749730 | − | 0.661744i | \(-0.230183\pi\) |
−0.947952 | + | 0.318413i | \(0.896850\pi\) | |||||||
\(38\) | −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 | −0.999762 | − | 0.0218325i | \(-0.993050\pi\) |
0.932001 | − | 0.362454i | \(-0.118061\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.815207 | + | 0.684040i | 0.124318 | + | 0.104315i | 0.702827 | − | 0.711361i | \(-0.251921\pi\) |
−0.578509 | + | 0.815676i | \(0.696365\pi\) | |||||||
\(44\) | −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 | −0.358250 | − | 0.933626i | \(-0.616626\pi\) |
0.325688 | + | 0.945477i | \(0.394404\pi\) | |||||||
\(48\) | 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 | 0.343005 | − | 0.939334i | \(-0.388555\pi\) |
0.984625 | − | 0.174680i | \(-0.0558892\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.45336 | − | 1.25692i | 0.442158 | − | 0.160932i | −0.111341 | − | 0.993782i | \(-0.535515\pi\) |
0.553499 | + | 0.832850i | \(0.313292\pi\) | |||||||
\(62\) | 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 | 0.631228 | + | 0.775598i | \(0.282551\pi\) |
−0.327890 | + | 0.944716i | \(0.606338\pi\) | |||||||
\(68\) | 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 | 0.899510 | − | 0.436900i | \(-0.143923\pi\) |
−0.828121 | + | 0.560549i | \(0.810590\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.34002 | − | 4.05304i | 0.273879 | − | 0.474372i | −0.695973 | − | 0.718068i | \(-0.745027\pi\) |
0.969852 | + | 0.243696i | \(0.0783599\pi\) | |||||||
\(74\) | −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 | 0.558293 | + | 0.829644i | \(0.311457\pi\) |
−0.808379 | + | 0.588663i | \(0.799655\pi\) | |||||||
\(80\) | 15.6458 | 1.74925 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.92127 | −0.543464 | ||||||||
\(83\) | 1.96291 | − | 11.1322i | 0.215458 | − | 1.22192i | −0.664653 | − | 0.747152i | \(-0.731421\pi\) |
0.880111 | − | 0.474768i | \(-0.157468\pi\) | |||||||
\(84\) | 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 | −0.846899 | − | 0.531753i | \(-0.821533\pi\) |
0.883961 | + | 0.467560i | \(0.154867\pi\) | |||||||
\(90\) | 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 | 0.324157 | − | 0.946003i | \(-0.394919\pi\) |
−0.875342 | + | 0.483504i | \(0.839364\pi\) | |||||||
\(98\) | 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 | −0.113969 | − | 0.993484i | \(-0.536357\pi\) |
0.551294 | + | 0.834311i | \(0.314134\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.4363 | + | 8.75709i | −1.02832 | + | 0.862861i | −0.990650 | − | 0.136429i | \(-0.956437\pi\) |
−0.0376683 | + | 0.999290i | \(0.511993\pi\) | |||||||
\(104\) | −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 | −0.796111 | − | 0.605151i | \(-0.793113\pi\) |
0.457714 | + | 0.889100i | \(0.348668\pi\) | |||||||
\(114\) | 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 | −0.968930 | − | 0.247334i | \(-0.920445\pi\) |
0.698663 | + | 0.715451i | \(0.253779\pi\) | |||||||
\(128\) | −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 | 0.729884 | − | 0.683571i | \(-0.239574\pi\) |
0.119733 | + | 0.992806i | \(0.461796\pi\) | |||||||
\(132\) | 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 | 0.428734 | + | 0.903431i | \(0.358960\pi\) |
−0.711870 | + | 0.702311i | \(0.752151\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 21.8983 | + | 7.97032i | 1.85739 | + | 0.676034i | 0.980870 | + | 0.194662i | \(0.0623610\pi\) |
0.876517 | + | 0.481371i | \(0.159861\pi\) | |||||||
\(140\) | 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 | −0.870948 | − | 0.491375i | \(-0.836494\pi\) |
0.650363 | − | 0.759623i | \(-0.274617\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.52094 | − | 3.79352i | −0.367909 | − | 0.308713i | 0.440025 | − | 0.897986i | \(-0.354970\pi\) |
−0.807934 | + | 0.589273i | \(0.799414\pi\) | |||||||
\(152\) | −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 | −0.679088 | − | 0.734057i | \(-0.737625\pi\) |
0.604982 | + | 0.796239i | \(0.293180\pi\) | |||||||
\(158\) | 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 | −0.522237 | − | 0.852800i | \(-0.674902\pi\) |
0.749159 | + | 0.662390i | \(0.230458\pi\) | |||||||
\(168\) | 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 | 0.824114 | − | 0.566424i | \(-0.191673\pi\) |
−0.414712 | + | 0.909953i | \(0.636118\pi\) | |||||||
\(174\) | 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 | −0.999032 | − | 0.0439838i | \(-0.985995\pi\) |
0.461425 | − | 0.887179i | \(-0.347338\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.60014 | + | 11.4318i | −0.490584 | + | 0.849717i | −0.999941 | − | 0.0108384i | \(-0.996550\pi\) |
0.509357 | + | 0.860555i | \(0.329883\pi\) | |||||||
\(182\) | −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 | 0.776548 | + | 0.630058i | \(0.216969\pi\) |
−0.945209 | + | 0.326465i | \(0.894142\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.1001 | − | 5.13203i | −1.01495 | − | 0.369412i | −0.219618 | − | 0.975586i | \(-0.570481\pi\) |
−0.795332 | + | 0.606174i | \(0.792703\pi\) | |||||||
\(194\) | −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 | 0.127580 | + | 0.991828i | \(0.459279\pi\) |
−0.922739 | + | 0.385426i | \(0.874054\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.55051 | + | 7.88171i | 0.322577 | + | 0.558720i | 0.981019 | − | 0.193912i | \(-0.0621176\pi\) |
−0.658442 | + | 0.752631i | \(0.728784\pi\) | |||||||
\(200\) | −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 | −0.786656 | − | 0.617392i | \(-0.788189\pi\) |
0.471411 | + | 0.881914i | \(0.343745\pi\) | |||||||
\(212\) | 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 | −0.0463999 | − | 0.998923i | \(-0.514775\pi\) |
0.606551 | + | 0.795045i | \(0.292553\pi\) | |||||||
\(224\) | −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 | 0.872368 | − | 0.488850i | \(-0.162583\pi\) |
−0.329938 | + | 0.944003i | \(0.607028\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.43629 | − | 8.14560i | −0.0949127 | − | 0.538276i | −0.994774 | − | 0.102101i | \(-0.967444\pi\) |
0.899861 | − | 0.436176i | \(-0.143667\pi\) | |||||||
\(230\) | 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 | 0.995666 | − | 0.0930034i | \(-0.0296467\pi\) |
−0.578376 | + | 0.815770i | \(0.696313\pi\) | |||||||
\(234\) | 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 | 0.755331 | − | 0.655343i | \(-0.227476\pi\) |
0.157371 | + | 0.987540i | \(0.449698\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.138156 | − | 0.783520i | 0.00889939 | − | 0.0504710i | −0.980035 | − | 0.198827i | \(-0.936287\pi\) |
0.988934 | + | 0.148356i | \(0.0473980\pi\) | |||||||
\(242\) | −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 | −0.704465 | − | 0.709738i | \(-0.748813\pi\) |
0.966884 | + | 0.255216i | \(0.0821465\pi\) | |||||||
\(252\) | 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 | 0.730857 | + | 0.682531i | \(0.239121\pi\) |
−0.453341 | + | 0.891337i | \(0.649768\pi\) | |||||||
\(258\) | 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 | 0.641648 | − | 0.767000i | \(-0.278251\pi\) |
0.984548 | + | 0.175113i | \(0.0560290\pi\) | |||||||
\(264\) | 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 | −0.860613 | − | 0.509259i | \(-0.829920\pi\) |
−0.331923 | + | 0.943306i | \(0.607697\pi\) | |||||||
\(278\) | 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 | 0.681838 | − | 0.731503i | \(-0.261181\pi\) |
−0.601990 | + | 0.798504i | \(0.705625\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.26558 | − | 7.17745i | −0.0752308 | − | 0.426655i | −0.999040 | − | 0.0438023i | \(-0.986053\pi\) |
0.923809 | − | 0.382853i | \(-0.125058\pi\) | |||||||
\(284\) | −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 | −0.115654 | − | 0.993290i | \(-0.536896\pi\) |
−0.727070 | + | 0.686563i | \(0.759119\pi\) | |||||||
\(294\) | 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 | 0.521312 | − | 0.853366i | \(-0.325443\pi\) |
−0.999693 | + | 0.0247861i | \(0.992110\pi\) | |||||||
\(308\) | −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 | −0.956205 | − | 0.292698i | \(-0.905447\pi\) |
0.798430 | − | 0.602088i | \(-0.205664\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 26.3562 | + | 22.1155i | 1.48974 | + | 1.25004i | 0.894954 | + | 0.446159i | \(0.147208\pi\) |
0.594788 | + | 0.803883i | \(0.297236\pi\) | |||||||
\(314\) | 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 | 0.126408 | − | 0.991978i | \(-0.459655\pi\) |
0.734466 | + | 0.678646i | \(0.237433\pi\) | |||||||
\(318\) | 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 | 0.645658 | − | 0.763627i | \(-0.276583\pi\) |
0.985453 | + | 0.169951i | \(0.0543609\pi\) | |||||||
\(332\) | −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 | 0.999948 | − | 0.0102366i | \(-0.00325846\pi\) |
−0.943144 | + | 0.332383i | \(0.892147\pi\) | |||||||
\(338\) | 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 | −0.312045 | − | 0.950067i | \(-0.601014\pi\) |
−0.849732 | + | 0.527216i | \(0.823236\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.00846 | + | 11.3905i | −0.107510 | + | 0.609721i | 0.882678 | + | 0.469979i | \(0.155738\pi\) |
−0.990188 | + | 0.139742i | \(0.955373\pi\) | |||||||
\(350\) | −40.2332 | −2.15056 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −17.1010 | −0.911487 | ||||||||
\(353\) | −0.370674 | + | 2.10220i | −0.0197290 | + | 0.111889i | −0.993082 | − | 0.117423i | \(-0.962537\pi\) |
0.973353 | + | 0.229312i | \(0.0736476\pi\) | |||||||
\(354\) | 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 | 0.346367 | + | 0.938099i | \(0.387415\pi\) |
−0.985601 | + | 0.169087i | \(0.945918\pi\) | |||||||
\(360\) | 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 | 0.584348 | − | 0.811503i | \(-0.301350\pi\) |
−0.697704 | + | 0.716386i | \(0.745795\pi\) | |||||||
\(368\) | −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 | −0.999552 | − | 0.0299222i | \(-0.990474\pi\) |
−0.144103 | + | 0.989563i | \(0.546030\pi\) | |||||||
\(374\) | −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 | −0.629536 | − | 0.776971i | \(-0.716755\pi\) |
0.655850 | + | 0.754891i | \(0.272310\pi\) | |||||||
\(384\) | 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 | 0.556314 | − | 0.830972i | \(-0.312215\pi\) |
−0.721745 | + | 0.692159i | \(0.756660\pi\) | |||||||
\(390\) | 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 | −0.733097 | − | 0.680124i | \(-0.761926\pi\) |
0.955553 | + | 0.294818i | \(0.0952591\pi\) | |||||||
\(398\) | 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 | −0.740930 | − | 0.671582i | \(-0.765615\pi\) |
−0.999270 | + | 0.0382006i | \(0.987837\pi\) | |||||||
\(402\) | 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 | 0.419556 | − | 0.907729i | \(-0.362186\pi\) |
−0.262078 | + | 0.965047i | \(0.584408\pi\) | |||||||
\(410\) | 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 | −0.937874 | − | 0.346976i | \(-0.887209\pi\) |
0.762641 | − | 0.646823i | \(-0.223903\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.0915 | + | 17.6979i | 1.02794 | + | 0.862542i | 0.990604 | − | 0.136761i | \(-0.0436691\pi\) |
0.0373336 | + | 0.999303i | \(0.488114\pi\) | |||||||
\(422\) | 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 | −0.590988 | − | 0.806681i | \(-0.701262\pi\) |
0.0658015 | + | 0.997833i | \(0.479040\pi\) | |||||||
\(440\) | −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 | 0.679868 | − | 0.733335i | \(-0.262037\pi\) |
−0.604136 | + | 0.796881i | \(0.706482\pi\) | |||||||
\(444\) | 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 | 0.714276 | − | 0.699864i | \(-0.246756\pi\) |
−0.963238 | + | 0.268649i | \(0.913423\pi\) | |||||||
\(450\) | 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 | 0.935686 | + | 0.352834i | \(0.114782\pi\) |
−0.999934 | + | 0.0115320i | \(0.996329\pi\) | |||||||
\(458\) | −16.2912 | −0.761238 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.61081 | 0.168355 | ||||||||
\(461\) | −6.78839 | + | 38.4989i | −0.316167 | + | 1.79307i | 0.249434 | + | 0.968392i | \(0.419756\pi\) |
−0.565600 | + | 0.824679i | \(0.691356\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −22.2640 | − | 8.10343i | −1.03470 | − | 0.376598i | −0.231828 | − | 0.972757i | \(-0.574471\pi\) |
−0.802867 | + | 0.596158i | \(0.796693\pi\) | |||||||
\(464\) | −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 | −0.114277 | − | 0.993449i | \(-0.536455\pi\) |
0.917490 | − | 0.397758i | \(-0.130212\pi\) | |||||||
\(468\) | 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 | −0.199101 | − | 0.979979i | \(-0.563802\pi\) |
0.477398 | + | 0.878687i | \(0.341580\pi\) | |||||||
\(480\) | 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 | −0.971488 | − | 0.237088i | \(-0.923807\pi\) |
0.0647892 | + | 0.997899i | \(0.479363\pi\) | |||||||
\(492\) | 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 | 0.999467 | − | 0.0326518i | \(-0.0103952\pi\) |
−0.950359 | + | 0.311155i | \(0.899284\pi\) | |||||||
\(500\) | −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 | 0.999881 | − | 0.0154166i | \(-0.00490745\pi\) |
−0.513292 | + | 0.858214i | \(0.671574\pi\) | |||||||
\(504\) | 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 | −0.344447 | − | 0.938806i | \(-0.611933\pi\) |
−0.867314 | + | 0.497761i | \(0.834156\pi\) | |||||||
\(510\) | 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 | −0.676142 | − | 0.736771i | \(-0.736350\pi\) |
0.976134 | + | 0.217171i | \(0.0696829\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.57532 | − | 11.3888i | −0.287519 | − | 0.497997i | 0.685698 | − | 0.727886i | \(-0.259497\pi\) |
−0.973217 | + | 0.229889i | \(0.926164\pi\) | |||||||
\(524\) | −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 | 0.376714 | − | 0.926330i | \(-0.377054\pi\) |
0.884013 | + | 0.467463i | \(0.154832\pi\) | |||||||
\(548\) | 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 | 0.798966 | + | 0.601376i | \(0.205381\pi\) |
0.121324 | + | 0.992613i | \(0.461286\pi\) | |||||||
\(558\) | 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 | 0.886447 | − | 0.462829i | \(-0.153166\pi\) |
0.381557 | + | 0.924345i | \(0.375388\pi\) | |||||||
\(564\) | 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 | −0.999485 | − | 0.0320990i | \(-0.989781\pi\) |
0.950187 | + | 0.311681i | \(0.100892\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.8773 | + | 7.23475i | 0.831840 | + | 0.302765i | 0.722614 | − | 0.691252i | \(-0.242940\pi\) |
0.109226 | + | 0.994017i | \(0.465163\pi\) | |||||||
\(572\) | −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 | 0.714942 | − | 0.699183i | \(-0.246453\pi\) |
−0.962982 | + | 0.269567i | \(0.913120\pi\) | |||||||
\(578\) | −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 | −0.339501 | − | 0.940606i | \(-0.610258\pi\) |
0.344537 | + | 0.938773i | \(0.388036\pi\) | |||||||
\(588\) | 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 | −0.0990454 | − | 0.995083i | \(-0.531579\pi\) |
0.962766 | + | 0.270335i | \(0.0871345\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.25237 | + | 0.455827i | −0.0510854 | + | 0.0185936i | −0.367436 | − | 0.930049i | \(-0.619764\pi\) |
0.316351 | + | 0.948642i | \(0.397542\pi\) | |||||||
\(602\) | 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 | −0.996532 | − | 0.0832064i | \(-0.973484\pi\) |
0.907976 | − | 0.419023i | \(-0.137627\pi\) | |||||||
\(608\) | 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 | −0.689355 | − | 0.724424i | \(-0.742106\pi\) |
0.972047 | + | 0.234787i | \(0.0754393\pi\) | |||||||
\(614\) | −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 | −0.155568 | − | 0.987825i | \(-0.549721\pi\) |
−0.754134 | + | 0.656721i | \(0.771943\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.19325 | − | 6.76725i | 0.0479607 | − | 0.271999i | −0.951392 | − | 0.307984i | \(-0.900346\pi\) |
0.999352 | + | 0.0359850i | \(0.0114569\pi\) | |||||||
\(620\) | 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 | 0.966989 | + | 0.254820i | \(0.0820161\pi\) |
−0.262814 | + | 0.964847i | \(0.584651\pi\) | |||||||
\(632\) | 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 | 0.0392691 | − | 0.999229i | \(-0.487497\pi\) |
0.672374 | + | 0.740212i | \(0.265275\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14.8432 | − | 12.4549i | 0.585358 | − | 0.491173i | −0.301344 | − | 0.953516i | \(-0.597435\pi\) |
0.886702 | + | 0.462342i | \(0.152991\pi\) | |||||||
\(644\) | −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 | −0.00107333 | − | 0.999999i | \(-0.500342\pi\) |
0.984621 | + | 0.174705i | \(0.0558972\pi\) | |||||||
\(654\) | 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 | 0.877162 | − | 0.480195i | \(-0.159434\pi\) |
−0.320582 | + | 0.947221i | \(0.603879\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.32207 | + | 35.8542i | 0.245900 | + | 1.39457i | 0.818393 | + | 0.574659i | \(0.194865\pi\) |
−0.572493 | + | 0.819910i | \(0.694024\pi\) | |||||||
\(662\) | −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 | −0.509151 | − | 0.860677i | \(-0.670040\pi\) |
0.772814 | − | 0.634632i | \(-0.218849\pi\) | |||||||
\(674\) | 11.8276 | 0.455584 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 17.3824 | 0.668553 | ||||||||
\(677\) | 5.50038 | − | 31.1942i | 0.211397 | − | 1.19889i | −0.675654 | − | 0.737218i | \(-0.736139\pi\) |
0.887051 | − | 0.461671i | \(-0.152750\pi\) | |||||||
\(678\) | 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 | −0.441735 | − | 0.897145i | \(-0.645637\pi\) |
0.997818 | − | 0.0660187i | \(-0.0210297\pi\) | |||||||
\(684\) | 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 | 0.717503 | − | 0.696555i | \(-0.245285\pi\) |
−0.561380 | + | 0.827558i | \(0.689729\pi\) | |||||||
\(692\) | −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 | −0.257925 | − | 0.966165i | \(-0.583039\pi\) |
0.423456 | + | 0.905916i | \(0.360817\pi\) | |||||||
\(710\) | −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 | −0.957527 | − | 0.288343i | \(-0.906896\pi\) |
0.229052 | − | 0.973414i | \(-0.426438\pi\) | |||||||
\(720\) | 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 | 0.929902 | + | 0.367808i | \(0.119892\pi\) |
−0.999620 | + | 0.0275812i | \(0.991220\pi\) | |||||||
\(728\) | −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 | 0.400560 | − | 0.916271i | \(-0.368816\pi\) |
−0.282121 | + | 0.959379i | \(0.591038\pi\) | |||||||
\(734\) | −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 | 0.516077 | − | 0.856542i | \(-0.327392\pi\) |
−0.999826 | + | 0.0186653i | \(0.994058\pi\) | |||||||
\(740\) | −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 | 0.926739 | + | 0.375706i | \(0.122600\pi\) |
−0.742351 | + | 0.670011i | \(0.766289\pi\) | |||||||
\(744\) | 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 | −0.872782 | − | 0.488109i | \(-0.837687\pi\) |
0.329137 | + | 0.944282i | \(0.393242\pi\) | |||||||
\(752\) | 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 | −0.487998 | − | 0.872845i | \(-0.662273\pi\) |
0.774844 | + | 0.632152i | \(0.217828\pi\) | |||||||
\(762\) | 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 | 0.719563 | + | 0.694427i | \(0.244342\pi\) |
−0.438660 | + | 0.898653i | \(0.644547\pi\) | |||||||
\(770\) | 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 | −0.936388 | − | 0.350968i | \(-0.885853\pi\) |
0.164247 | − | 0.986419i | \(-0.447481\pi\) | |||||||
\(774\) | 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 | ||||||||
\(781\) | −0.455118 | + | 2.58110i | −0.0162854 | + | 0.0923591i | ||||
\(782\) | −3.00054 | −0.107299 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.29860 | 0.224950 | ||||||||
\(785\) | 0.779145 | − | 4.41875i | 0.0278089 | − | 0.157712i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.448615 | − | 0.163283i | −0.0159914 | − | 0.00582040i | 0.334012 | − | 0.942569i | \(-0.391597\pi\) |
−0.350003 | + | 0.936748i | \(0.613820\pi\) | |||||||
\(788\) | 32.1356 | − | 26.9650i | 1.14478 | − | 0.960587i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −87.6995 | + | 31.9200i | −3.12021 | + | 1.13566i | ||||
\(791\) | −5.51125 | + | 9.54576i | −0.195957 | + | 0.339408i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.66725 | − | 15.0121i | −0.307783 | − | 0.533096i | ||||
\(794\) | −13.3754 | − | 11.2233i | −0.474675 | − | 0.398299i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.97013 | − | 16.8445i | −0.105274 | − | 0.597036i | ||||
\(797\) | 1.99157 | + | 11.2947i | 0.0705449 | + | 0.400080i | 0.999550 | + | 0.0300119i | \(0.00955451\pi\) |
−0.929005 | + | 0.370068i | \(0.879334\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.534148 | + | 0.448204i | 0.0188968 | + | 0.0158563i | ||||
\(800\) | 34.1558 | + | 59.1596i | 1.20759 | + | 2.09161i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −36.5205 | + | 63.2554i | −1.28958 | + | 2.23363i | ||||
\(803\) | 9.58073 | − | 3.48710i | 0.338097 | − | 0.123057i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.45471 | + | 2.89884i | −0.121762 | + | 0.102171i | ||||
\(806\) | −37.5869 | − | 13.6805i | −1.32394 | − | 0.481875i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.192944 | − | 1.09424i | 0.00678774 | − | 0.0384952i | ||||
\(809\) | 42.7873 | 1.50432 | 0.752161 | − | 0.658979i | \(-0.229012\pi\) | ||||
0.752161 | + | 0.658979i | \(0.229012\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −31.2098 | −1.09592 | −0.547962 | − | 0.836503i | \(-0.684596\pi\) | ||||
−0.547962 | + | 0.836503i | \(0.684596\pi\) | |||||||
\(812\) | −2.67561 | + | 15.1741i | −0.0938954 | + | 0.532507i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −9.72328 | − | 3.53898i | −0.340801 | − | 0.124041i | ||||
\(815\) | −7.86414 | + | 6.59879i | −0.275469 | + | 0.231146i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.22668 | − | 2.26633i | 0.217844 | − | 0.0792887i | ||||
\(818\) | 3.33770 | − | 5.78106i | 0.116700 | − | 0.202130i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −8.69119 | − | 15.0536i | −0.303509 | − | 0.525694i | ||||
\(821\) | 20.8755 | + | 17.5167i | 0.728562 | + | 0.611336i | 0.929739 | − | 0.368219i | \(-0.120032\pi\) |
−0.201177 | + | 0.979555i | \(0.564477\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.50758 | − | 14.2212i | −0.0874087 | − | 0.495719i | −0.996811 | − | 0.0798013i | \(-0.974571\pi\) |
0.909402 | − | 0.415918i | \(-0.136540\pi\) | |||||||
\(824\) | 0.562010 | + | 3.18732i | 0.0195786 | + | 0.111036i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −47.1468 | − | 39.5609i | −1.64045 | − | 1.37650i | ||||
\(827\) | −3.51379 | − | 6.08606i | −0.122186 | − | 0.211633i | 0.798443 | − | 0.602070i | \(-0.205657\pi\) |
−0.920630 | + | 0.390437i | \(0.872324\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.0403 | − | 36.4429i | 0.730760 | − | 1.26571i | −0.225799 | − | 0.974174i | \(-0.572499\pi\) |
0.956559 | − | 0.291539i | \(-0.0941673\pi\) | |||||||
\(830\) | 77.4453 | − | 28.1878i | 2.68817 | − | 0.978412i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 25.3214 | − | 21.2471i | 0.877860 | − | 0.736612i | ||||
\(833\) | 4.11014 | + | 1.49597i | 0.142408 | + | 0.0518322i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.46064 | + | 13.9550i | −0.0851539 | + | 0.482932i | ||||
\(836\) | −25.4938 | −0.881723 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −40.6851 | −1.40544 | ||||||||
\(839\) | −6.93226 | + | 39.3148i | −0.239328 | + | 1.35730i | 0.593976 | + | 0.804483i | \(0.297557\pi\) |
−0.833304 | + | 0.552815i | \(0.813554\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.7875 | + | 5.74616i | 0.544395 | + | 0.198144i | ||||
\(842\) | 41.5422 | − | 34.8580i | 1.43164 | − | 1.20129i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 10.5569 | − | 3.84240i | 0.363384 | − | 0.132261i | ||||
\(845\) | 17.1183 | − | 29.6498i | 0.588887 | − | 1.01998i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.34002 | − | 12.7133i | −0.252206 | − | 0.436834i | ||||
\(848\) | 15.1115 | + | 12.6800i | 0.518931 | + | 0.435435i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 8.73601 | + | 49.5444i | 0.299643 | + | 1.69936i | ||||
\(851\) | −0.217343 | − | 1.23261i | −0.00745041 | − | 0.0422534i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −17.9875 | − | 15.0933i | −0.615881 | − | 0.516785i | 0.280625 | − | 0.959817i | \(-0.409458\pi\) |
−0.896506 | + | 0.443032i | \(0.853903\pi\) | |||||||
\(854\) | −8.49524 | − | 14.7142i | −0.290701 | − | 0.503509i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.38191 | + | 2.39354i | −0.0472328 | + | 0.0818095i | ||||
\(857\) | 7.55017 | − | 2.74804i | 0.257909 | − | 0.0938711i | −0.209830 | − | 0.977738i | \(-0.567291\pi\) |
0.467739 | + | 0.883867i | \(0.345069\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.6117 | + | 15.6171i | −0.635025 | + | 0.532849i | −0.902486 | − | 0.430720i | \(-0.858260\pi\) |
0.267461 | + | 0.963569i | \(0.413815\pi\) | |||||||
\(860\) | 6.95686 | + | 2.53209i | 0.237227 | + | 0.0863435i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.882789 | + | 5.00654i | −0.0300679 | + | 0.170524i | ||||
\(863\) | 10.2828 | 0.350029 | 0.175015 | − | 0.984566i | \(-0.444003\pi\) | ||||
0.175015 | + | 0.984566i | \(0.444003\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −26.0205 | −0.884725 | ||||||||
\(866\) | −9.23924 | + | 52.3983i | −0.313962 | + | 1.78057i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −17.8478 | − | 6.49605i | −0.605793 | − | 0.220490i | ||||
\(869\) | −21.3624 | + | 17.9251i | −0.724668 | + | 0.608069i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 63.3774 | − | 23.0675i | 2.14746 | − | 0.781612i | ||||
\(872\) | 1.73470 | − | 3.00459i | 0.0587443 | − | 0.101748i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.18273 | − | 5.51266i | −0.107658 | − | 0.186468i | ||||
\(875\) | 24.6431 | + | 20.6780i | 0.833088 | + | 0.699043i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.55438 | − | 25.8292i | −0.153790 | − | 0.872189i | −0.959883 | − | 0.280400i | \(-0.909533\pi\) |
0.806093 | − | 0.591789i | \(-0.201578\pi\) | |||||||
\(878\) | 4.00508 | + | 22.7139i | 0.135165 | + | 0.766559i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 26.1104 | + | 21.9092i | 0.880182 | + | 0.738560i | ||||
\(881\) | −19.6163 | − | 33.9764i | −0.660890 | − | 1.14469i | −0.980382 | − | 0.197106i | \(-0.936846\pi\) |
0.319492 | − | 0.947589i | \(-0.396488\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.89915 | + | 6.75352i | −0.131217 | + | 0.227274i | −0.924146 | − | 0.382040i | \(-0.875222\pi\) |
0.792929 | + | 0.609314i | \(0.208555\pi\) | |||||||
\(884\) | 24.4502 | − | 8.89915i | 0.822349 | − | 0.299311i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.13950 | − | 2.63435i | 0.105474 | − | 0.0885028i | ||||
\(887\) | −21.4786 | − | 7.81757i | −0.721181 | − | 0.262488i | −0.0447538 | − | 0.998998i | \(-0.514250\pi\) |
−0.676427 | + | 0.736510i | \(0.736473\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.48293 | + | 14.0814i | −0.0832747 | + | 0.472274i | ||||
\(890\) | 5.09840 | 0.170899 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −16.7297 | −0.560151 | ||||||||
\(893\) | −0.256867 | + | 1.45677i | −0.00859574 | + | 0.0487488i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 50.0385 | + | 18.2125i | 1.67260 | + | 0.608778i | ||||
\(896\) | −3.41117 | + | 2.86231i | −0.113959 | + | 0.0956231i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −19.5278 | + | 7.10754i | −0.651651 | + | 0.237182i | ||||
\(899\) | 7.51887 | − | 13.0231i | 0.250768 | − | 0.434343i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.84936 | + | 11.8634i | 0.228185 | + | 0.395228i | ||||
\(902\) | −8.21286 | − | 6.89141i | −0.273458 | − | 0.229459i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.193715 | + | 1.09861i | 0.00644288 | + | 0.0365394i | ||||
\(905\) | −8.48497 | − | 48.1207i | −0.282050 | − | 1.59959i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −28.9937 | − | 24.3286i | −0.962719 | − | 0.807817i | 0.0186745 | − | 0.999826i | \(-0.494055\pi\) |
−0.981393 | + | 0.192009i | \(0.938500\pi\) | |||||||
\(908\) | −10.0251 | − | 17.3640i | −0.332694 | − | 0.576243i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 40.3619 | − | 69.9089i | 1.33798 | − | 2.31746i | ||||
\(911\) | −49.5260 | + | 18.0260i | −1.64087 | + | 0.597228i | −0.987191 | − | 0.159544i | \(-0.948998\pi\) |
−0.653679 | + | 0.756772i | \(0.726775\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 18.8646 | − | 15.8293i | 0.624327 | − | 0.523872i | ||||
\(914\) | 14.6390 | + | 5.32816i | 0.484215 | + | 0.176240i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.69934 | + | 15.3087i | −0.0891887 | + | 0.505814i | ||||
\(917\) | 24.2908 | 0.802152 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −49.1052 | −1.61983 | −0.809916 | − | 0.586545i | \(-0.800488\pi\) | ||||
−0.809916 | + | 0.586545i | \(0.800488\pi\) | |||||||
\(920\) | −0.0792577 | + | 0.449493i | −0.00261305 | + | 0.0148193i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 72.3542 | + | 26.3348i | 2.38286 | + | 0.867290i | ||||
\(923\) | 4.34710 | − | 3.64765i | 0.143087 | − | 0.120064i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −19.7199 | + | 7.17745i | −0.648385 | + | 0.235993i | ||||
\(926\) | −23.3329 | + | 40.4138i | −0.766766 | + | 1.32808i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 13.7087 | + | 23.7442i | 0.450011 | + | 0.779442i | ||||
\(929\) | 13.7510 | + | 11.5385i | 0.451157 | + | 0.378565i | 0.839865 | − | 0.542795i | \(-0.182634\pi\) |
−0.388708 | + | 0.921361i | \(0.627079\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.61128 | + | 9.13803i | 0.0528076 | + | 0.299487i | ||||
\(932\) | −4.15749 | − | 23.5783i | −0.136183 | − | 0.772333i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −52.3787 | − | 43.9510i | −1.71388 | − | 1.43812i | ||||
\(935\) | 11.8347 | + | 20.4982i | 0.387035 | + | 0.670364i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 14.8990 | − | 25.8058i | 0.486729 | − | 0.843039i | −0.513155 | − | 0.858296i | \(-0.671523\pi\) |
0.999884 | + | 0.0152572i | \(0.00485672\pi\) | |||||||
\(938\) | 62.1196 | − | 22.6097i | 2.02828 | − | 0.738233i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.26604 | + | 1.06234i | −0.0412938 | + | 0.0346496i | ||||
\(941\) | 28.2013 | + | 10.2645i | 0.919338 | + | 0.334612i | 0.757975 | − | 0.652284i | \(-0.226189\pi\) |
0.161363 | + | 0.986895i | \(0.448411\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.225195 | − | 1.27714i | 0.00733335 | − | 0.0415895i | ||||
\(944\) | −56.2663 | −1.83131 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.56624 | 0.148461 | ||||||||
\(947\) | 7.91859 | − | 44.9085i | 0.257319 | − | 1.45933i | −0.532728 | − | 0.846286i | \(-0.678833\pi\) |
0.790048 | − | 0.613045i | \(-0.210056\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −20.7439 | − | 7.55017i | −0.673376 | − | 0.245089i | ||||
\(950\) | −81.7575 | + | 68.6027i | −2.65256 | + | 2.22577i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.53802 | + | 0.559793i | −0.0498475 | + | 0.0181430i | ||||
\(953\) | 6.59786 | − | 11.4278i | 0.213726 | − | 0.370184i | −0.739152 | − | 0.673539i | \(-0.764773\pi\) |
0.952878 | + | 0.303355i | \(0.0981068\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −24.8444 | − | 43.0317i | −0.803945 | − | 1.39247i | ||||
\(956\) | −21.6178 | − | 18.1395i | −0.699170 | − | 0.586673i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.21688 | − | 12.5726i | −0.0716242 | − | 0.406201i | ||||
\(959\) | 7.77898 | + | 44.1168i | 0.251196 | + | 1.42461i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.54757 | − | 8.01136i | −0.307986 | − | 0.258431i | ||||
\(962\) | 11.2018 | + | 19.4021i | 0.361162 | + | 0.625550i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.747626 | + | 1.29493i | −0.0240794 | + | 0.0417068i | ||||
\(965\) | 52.1940 | − | 18.9971i | 1.68018 | − | 0.611537i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −15.4394 | + | 12.9552i | −0.496499 | + | 0.416612i | −0.856349 | − | 0.516398i | \(-0.827272\pi\) |
0.359850 | + | 0.933010i | \(0.382828\pi\) | |||||||
\(968\) | −1.39613 | − | 0.508151i | −0.0448735 | − | 0.0163326i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 8.97178 | − | 50.8815i | 0.288067 | − | 1.63371i | ||||
\(971\) | −26.5839 | −0.853118 | −0.426559 | − | 0.904460i | \(-0.640274\pi\) | ||||
−0.426559 | + | 0.904460i | \(0.640274\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 54.7006 | 1.75362 | ||||||||
\(974\) | 6.83451 | − | 38.7604i | 0.218992 | − | 1.24196i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −14.5963 | − | 5.31261i | −0.467215 | − | 0.170052i | ||||
\(977\) | 11.0342 | − | 9.25877i | 0.353014 | − | 0.296214i | −0.448985 | − | 0.893539i | \(-0.648214\pi\) |
0.801999 | + | 0.597325i | \(0.203770\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.43154 | − | 0.521038i | 0.0457523 | − | 0.0166525i | ||||
\(980\) | −5.18355 | + | 8.97818i | −0.165583 | + | 0.286797i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 25.8286 | + | 44.7365i | 0.824225 | + | 1.42760i | ||||
\(983\) | −32.9308 | − | 27.6322i | −1.05033 | − | 0.881331i | −0.0572013 | − | 0.998363i | \(-0.518218\pi\) |
−0.993128 | + | 0.117032i | \(0.962662\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −14.3478 | − | 81.3702i | −0.457158 | − | 2.59267i | ||||
\(986\) | 3.50627 | + | 19.8851i | 0.111663 | + | 0.633270i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 42.2845 | + | 35.4809i | 1.34525 | + | 1.12880i | ||||
\(989\) | 0.276170 | + | 0.478340i | 0.00878169 | + | 0.0152103i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.78968 | − | 13.4921i | 0.247447 | − | 0.428591i | −0.715370 | − | 0.698746i | \(-0.753742\pi\) |
0.962817 | + | 0.270155i | \(0.0870750\pi\) | |||||||
\(992\) | −31.7584 | + | 11.5591i | −1.00833 | + | 0.367003i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.26083 | − | 3.57526i | 0.135145 | − | 0.113400i | ||||
\(995\) | −31.6572 | − | 11.5223i | −1.00360 | − | 0.365281i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.05334 | − | 40.0015i | 0.223381 | − | 1.26686i | −0.642374 | − | 0.766392i | \(-0.722050\pi\) |
0.865755 | − | 0.500468i | \(-0.166839\pi\) | |||||||
\(998\) | 12.4426 | 0.393863 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 729.2.e.m.649.2 | 12 | ||
3.2 | odd | 2 | inner | 729.2.e.m.649.1 | 12 | ||
9.2 | odd | 6 | 729.2.e.r.163.2 | 12 | |||
9.4 | even | 3 | 729.2.e.q.406.2 | 12 | |||
9.5 | odd | 6 | 729.2.e.q.406.1 | 12 | |||
9.7 | even | 3 | 729.2.e.r.163.1 | 12 | |||
27.2 | odd | 18 | 729.2.c.c.487.6 | 12 | |||
27.4 | even | 9 | 729.2.e.q.325.2 | 12 | |||
27.5 | odd | 18 | 729.2.e.r.568.2 | 12 | |||
27.7 | even | 9 | 729.2.c.c.244.1 | 12 | |||
27.11 | odd | 18 | 729.2.a.c.1.1 | ✓ | 6 | ||
27.13 | even | 9 | inner | 729.2.e.m.82.2 | 12 | ||
27.14 | odd | 18 | inner | 729.2.e.m.82.1 | 12 | ||
27.16 | even | 9 | 729.2.a.c.1.6 | yes | 6 | ||
27.20 | odd | 18 | 729.2.c.c.244.6 | 12 | |||
27.22 | even | 9 | 729.2.e.r.568.1 | 12 | |||
27.23 | odd | 18 | 729.2.e.q.325.1 | 12 | |||
27.25 | even | 9 | 729.2.c.c.487.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
729.2.a.c.1.1 | ✓ | 6 | 27.11 | odd | 18 | ||
729.2.a.c.1.6 | yes | 6 | 27.16 | even | 9 | ||
729.2.c.c.244.1 | 12 | 27.7 | even | 9 | |||
729.2.c.c.244.6 | 12 | 27.20 | odd | 18 | |||
729.2.c.c.487.1 | 12 | 27.25 | even | 9 | |||
729.2.c.c.487.6 | 12 | 27.2 | odd | 18 | |||
729.2.e.m.82.1 | 12 | 27.14 | odd | 18 | inner | ||
729.2.e.m.82.2 | 12 | 27.13 | even | 9 | inner | ||
729.2.e.m.649.1 | 12 | 3.2 | odd | 2 | inner | ||
729.2.e.m.649.2 | 12 | 1.1 | even | 1 | trivial | ||
729.2.e.q.325.1 | 12 | 27.23 | odd | 18 | |||
729.2.e.q.325.2 | 12 | 27.4 | even | 9 | |||
729.2.e.q.406.1 | 12 | 9.5 | odd | 6 | |||
729.2.e.q.406.2 | 12 | 9.4 | even | 3 | |||
729.2.e.r.163.1 | 12 | 9.7 | even | 3 | |||
729.2.e.r.163.2 | 12 | 9.2 | odd | 6 | |||
729.2.e.r.568.1 | 12 | 27.22 | even | 9 | |||
729.2.e.r.568.2 | 12 | 27.5 | odd | 18 |