Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 263.31 | ||
Character | \(\chi\) | \(=\) | 570.263 |
Dual form | 570.2.bi.a.557.31 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0871557 | + | 0.996195i | 0.0616284 | + | 0.704416i | ||||
\(3\) | 0.363458 | − | 1.69349i | 0.209843 | − | 0.977735i | ||||
\(4\) | −0.984808 | + | 0.173648i | −0.492404 | + | 0.0868241i | ||||
\(5\) | −1.95247 | + | 1.08989i | −0.873172 | + | 0.487412i | ||||
\(6\) | 1.71872 | + | 0.214478i | 0.701665 | + | 0.0875603i | ||||
\(7\) | −1.28322 | − | 0.343837i | −0.485010 | − | 0.129958i | 0.00802443 | − | 0.999968i | \(-0.497446\pi\) |
−0.493035 | + | 0.870010i | \(0.664112\pi\) | |||||||
\(8\) | −0.258819 | − | 0.965926i | −0.0915064 | − | 0.341506i | ||||
\(9\) | −2.73580 | − | 1.23102i | −0.911932 | − | 0.410341i | ||||
\(10\) | −1.25591 | − | 1.85005i | −0.397153 | − | 0.585038i | ||||
\(11\) | 4.64456 | + | 2.68154i | 1.40039 | + | 0.808513i | 0.994432 | − | 0.105380i | \(-0.0336059\pi\) |
0.405954 | + | 0.913893i | \(0.366939\pi\) | |||||||
\(12\) | −0.0638656 | + | 1.73087i | −0.0184364 | + | 0.499660i | ||||
\(13\) | 1.47825 | + | 3.17012i | 0.409993 | + | 0.879232i | 0.997544 | + | 0.0700450i | \(0.0223143\pi\) |
−0.587551 | + | 0.809187i | \(0.699908\pi\) | |||||||
\(14\) | 0.230689 | − | 1.30830i | 0.0616541 | − | 0.349658i | ||||
\(15\) | 1.13607 | + | 3.70261i | 0.293331 | + | 0.956011i | ||||
\(16\) | 0.939693 | − | 0.342020i | 0.234923 | − | 0.0855050i | ||||
\(17\) | 0.458283 | + | 5.23819i | 0.111150 | + | 1.27045i | 0.822969 | + | 0.568086i | \(0.192316\pi\) |
−0.711819 | + | 0.702363i | \(0.752129\pi\) | |||||||
\(18\) | 0.987899 | − | 2.83268i | 0.232850 | − | 0.667668i | ||||
\(19\) | 4.21168 | + | 1.12327i | 0.966226 | + | 0.257696i | ||||
\(20\) | 1.73355 | − | 1.41237i | 0.387634 | − | 0.315816i | ||||
\(21\) | −1.04868 | + | 2.04814i | −0.228840 | + | 0.446941i | ||||
\(22\) | −2.26653 | + | 4.86059i | −0.483226 | + | 1.03628i | ||||
\(23\) | 6.24450 | + | 4.37245i | 1.30207 | + | 0.911718i | 0.999147 | − | 0.0412973i | \(-0.0131491\pi\) |
0.302922 | + | 0.953015i | \(0.402038\pi\) | |||||||
\(24\) | −1.72985 | + | 0.0872330i | −0.353105 | + | 0.0178064i | ||||
\(25\) | 2.62429 | − | 4.25595i | 0.524859 | − | 0.851189i | ||||
\(26\) | −3.02921 | + | 1.74892i | −0.594078 | + | 0.342991i | ||||
\(27\) | −3.07907 | + | 4.18561i | −0.592567 | + | 0.805521i | ||||
\(28\) | 1.32343 | + | 0.115785i | 0.250104 | + | 0.0218813i | ||||
\(29\) | −1.96385 | + | 1.64787i | −0.364678 | + | 0.306001i | −0.806652 | − | 0.591027i | \(-0.798723\pi\) |
0.441974 | + | 0.897028i | \(0.354278\pi\) | |||||||
\(30\) | −3.58951 | + | 1.45445i | −0.655352 | + | 0.265545i | ||||
\(31\) | −4.70677 | − | 8.15237i | −0.845362 | − | 1.46421i | −0.885307 | − | 0.465007i | \(-0.846052\pi\) |
0.0399451 | − | 0.999202i | \(-0.487282\pi\) | |||||||
\(32\) | 0.422618 | + | 0.906308i | 0.0747091 | + | 0.160214i | ||||
\(33\) | 6.22925 | − | 6.89087i | 1.08437 | − | 1.19955i | ||||
\(34\) | −5.17832 | + | 0.913077i | −0.888074 | + | 0.156591i | ||||
\(35\) | 2.88019 | − | 0.727229i | 0.486840 | − | 0.122924i | ||||
\(36\) | 2.90800 | + | 0.737255i | 0.484666 | + | 0.122876i | ||||
\(37\) | −2.77322 | + | 2.77322i | −0.455914 | + | 0.455914i | −0.897312 | − | 0.441397i | \(-0.854483\pi\) |
0.441397 | + | 0.897312i | \(0.354483\pi\) | |||||||
\(38\) | −0.751926 | + | 4.29355i | −0.121979 | + | 0.696506i | ||||
\(39\) | 5.90583 | − | 1.35119i | 0.945690 | − | 0.216364i | ||||
\(40\) | 1.55809 | + | 1.60386i | 0.246355 | + | 0.253592i | ||||
\(41\) | 1.57136 | + | 4.31727i | 0.245405 | + | 0.674245i | 0.999840 | + | 0.0178703i | \(0.00568858\pi\) |
−0.754435 | + | 0.656374i | \(0.772089\pi\) | |||||||
\(42\) | −2.13174 | − | 0.866181i | −0.328935 | − | 0.133655i | ||||
\(43\) | 0.480575 | − | 0.336502i | 0.0732869 | − | 0.0513161i | −0.536359 | − | 0.843990i | \(-0.680201\pi\) |
0.609646 | + | 0.792674i | \(0.291312\pi\) | |||||||
\(44\) | −5.03964 | − | 1.83428i | −0.759754 | − | 0.276528i | ||||
\(45\) | 6.68324 | − | 0.578169i | 0.996279 | − | 0.0861883i | ||||
\(46\) | −3.81156 | + | 6.60182i | −0.561984 | + | 0.973386i | ||||
\(47\) | −3.09441 | − | 0.270725i | −0.451365 | − | 0.0394894i | −0.140793 | − | 0.990039i | \(-0.544965\pi\) |
−0.310573 | + | 0.950550i | \(0.600521\pi\) | |||||||
\(48\) | −0.237668 | − | 1.71567i | −0.0343044 | − | 0.247635i | ||||
\(49\) | −4.53376 | − | 2.61757i | −0.647680 | − | 0.373938i | ||||
\(50\) | 4.46847 | + | 2.24338i | 0.631938 | + | 0.317261i | ||||
\(51\) | 9.03738 | + | 1.12777i | 1.26549 | + | 0.157919i | ||||
\(52\) | −2.00628 | − | 2.86526i | −0.278220 | − | 0.397340i | ||||
\(53\) | −1.61214 | − | 1.12883i | −0.221444 | − | 0.155057i | 0.457591 | − | 0.889163i | \(-0.348713\pi\) |
−0.679035 | + | 0.734106i | \(0.737601\pi\) | |||||||
\(54\) | −4.43804 | − | 2.70255i | −0.603941 | − | 0.367771i | ||||
\(55\) | −11.9909 | − | 0.173583i | −1.61686 | − | 0.0234060i | ||||
\(56\) | 1.32848i | 0.177526i | ||||||||
\(57\) | 3.43302 | − | 6.72416i | 0.454714 | − | 0.890637i | ||||
\(58\) | −1.81276 | − | 1.81276i | −0.238027 | − | 0.238027i | ||||
\(59\) | 11.6185 | + | 9.74909i | 1.51260 | + | 1.26922i | 0.858495 | + | 0.512822i | \(0.171400\pi\) |
0.654107 | + | 0.756402i | \(0.273045\pi\) | |||||||
\(60\) | −1.76176 | − | 3.44909i | −0.227442 | − | 0.445275i | ||||
\(61\) | −1.33887 | − | 7.59310i | −0.171425 | − | 0.972197i | −0.942190 | − | 0.335078i | \(-0.891237\pi\) |
0.770766 | − | 0.637119i | \(-0.219874\pi\) | |||||||
\(62\) | 7.71113 | − | 5.39939i | 0.979314 | − | 0.685723i | ||||
\(63\) | 3.08735 | + | 2.52034i | 0.388969 | + | 0.317533i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | −6.34131 | − | 4.57844i | −0.786542 | − | 0.567885i | ||||
\(66\) | 7.40756 | + | 5.60496i | 0.911808 | + | 0.689923i | ||||
\(67\) | −1.05602 | + | 12.0703i | −0.129013 | + | 1.47462i | 0.605400 | + | 0.795921i | \(0.293013\pi\) |
−0.734413 | + | 0.678703i | \(0.762543\pi\) | |||||||
\(68\) | −1.36092 | − | 5.07903i | −0.165036 | − | 0.615923i | ||||
\(69\) | 9.67430 | − | 8.98578i | 1.16465 | − | 1.08176i | ||||
\(70\) | 0.975486 | + | 2.80584i | 0.116593 | + | 0.335363i | ||||
\(71\) | −5.16453 | − | 0.910646i | −0.612917 | − | 0.108074i | −0.141432 | − | 0.989948i | \(-0.545171\pi\) |
−0.471485 | + | 0.881874i | \(0.656282\pi\) | |||||||
\(72\) | −0.481001 | + | 2.96119i | −0.0566865 | + | 0.348979i | ||||
\(73\) | 11.3679 | + | 5.30093i | 1.33051 | + | 0.620427i | 0.952263 | − | 0.305278i | \(-0.0987494\pi\) |
0.378246 | + | 0.925705i | \(0.376527\pi\) | |||||||
\(74\) | −3.00437 | − | 2.52096i | −0.349251 | − | 0.293056i | ||||
\(75\) | −6.25357 | − | 5.99107i | −0.722100 | − | 0.691789i | ||||
\(76\) | −4.34275 | − | 0.374857i | −0.498148 | − | 0.0429991i | ||||
\(77\) | −5.03796 | − | 5.03796i | −0.574129 | − | 0.574129i | ||||
\(78\) | 1.86078 | + | 5.76559i | 0.210691 | + | 0.652825i | ||||
\(79\) | 0.195979 | + | 0.538447i | 0.0220493 | + | 0.0605800i | 0.950229 | − | 0.311552i | \(-0.100849\pi\) |
−0.928180 | + | 0.372132i | \(0.878627\pi\) | |||||||
\(80\) | −1.46196 | + | 1.69194i | −0.163452 | + | 0.189165i | ||||
\(81\) | 5.96916 | + | 6.73566i | 0.663240 | + | 0.748407i | ||||
\(82\) | −4.16389 | + | 1.94165i | −0.459825 | + | 0.214420i | ||||
\(83\) | −12.9834 | − | 3.47889i | −1.42511 | − | 0.381858i | −0.537819 | − | 0.843061i | \(-0.680751\pi\) |
−0.887295 | + | 0.461203i | \(0.847418\pi\) | |||||||
\(84\) | 0.677091 | − | 2.19912i | 0.0738767 | − | 0.239944i | ||||
\(85\) | −6.60382 | − | 9.72795i | −0.716285 | − | 1.05514i | ||||
\(86\) | 0.377106 | + | 0.449418i | 0.0406644 | + | 0.0484620i | ||||
\(87\) | 2.07686 | + | 3.92469i | 0.222663 | + | 0.420771i | ||||
\(88\) | 1.38806 | − | 5.18033i | 0.147968 | − | 0.552225i | ||||
\(89\) | −7.24577 | − | 2.63724i | −0.768050 | − | 0.279547i | −0.0718692 | − | 0.997414i | \(-0.522896\pi\) |
−0.696180 | + | 0.717867i | \(0.745119\pi\) | |||||||
\(90\) | 1.15845 | + | 6.60742i | 0.122112 | + | 0.696483i | ||||
\(91\) | −0.806911 | − | 4.57622i | −0.0845873 | − | 0.479718i | ||||
\(92\) | −6.90890 | − | 3.22167i | −0.720303 | − | 0.335883i | ||||
\(93\) | −15.5167 | + | 5.00781i | −1.60900 | + | 0.519286i | ||||
\(94\) | − | 3.10623i | − | 0.320383i | ||||||
\(95\) | −9.44743 | + | 2.39710i | −0.969286 | + | 0.245937i | ||||
\(96\) | 1.68842 | − | 0.386293i | 0.172324 | − | 0.0394259i | ||||
\(97\) | 3.27952 | − | 0.286921i | 0.332985 | − | 0.0291324i | 0.0805626 | − | 0.996750i | \(-0.474328\pi\) |
0.252422 | + | 0.967617i | \(0.418773\pi\) | |||||||
\(98\) | 2.21246 | − | 4.74464i | 0.223492 | − | 0.479281i | ||||
\(99\) | −9.40552 | − | 13.0537i | −0.945291 | − | 1.31195i | ||||
\(100\) | −1.84539 | + | 4.64699i | −0.184539 | + | 0.464699i | ||||
\(101\) | 2.79744 | − | 7.68592i | 0.278356 | − | 0.764777i | −0.719193 | − | 0.694810i | \(-0.755488\pi\) |
0.997549 | − | 0.0699670i | \(-0.0222894\pi\) | |||||||
\(102\) | −0.335818 | + | 9.10128i | −0.0332509 | + | 0.901161i | ||||
\(103\) | −3.19103 | + | 0.855033i | −0.314421 | + | 0.0842489i | −0.412579 | − | 0.910922i | \(-0.635372\pi\) |
0.0981575 | + | 0.995171i | \(0.468705\pi\) | |||||||
\(104\) | 2.67950 | − | 2.24837i | 0.262746 | − | 0.220470i | ||||
\(105\) | −0.184725 | − | 5.14188i | −0.0180273 | − | 0.501796i | ||||
\(106\) | 0.984029 | − | 1.70439i | 0.0955773 | − | 0.165545i | ||||
\(107\) | −1.55747 | + | 5.81255i | −0.150566 | + | 0.561921i | 0.848878 | + | 0.528589i | \(0.177279\pi\) |
−0.999444 | + | 0.0333321i | \(0.989388\pi\) | |||||||
\(108\) | 2.30547 | − | 4.65670i | 0.221844 | − | 0.448091i | ||||
\(109\) | 2.40479 | + | 0.424030i | 0.230337 | + | 0.0406147i | 0.287625 | − | 0.957743i | \(-0.407134\pi\) |
−0.0572880 | + | 0.998358i | \(0.518245\pi\) | |||||||
\(110\) | −0.872156 | − | 11.9604i | −0.0831568 | − | 1.14038i | ||||
\(111\) | 3.68846 | + | 5.70436i | 0.350093 | + | 0.541434i | ||||
\(112\) | −1.32343 | + | 0.115785i | −0.125052 | + | 0.0109406i | ||||
\(113\) | 2.14681 | − | 2.14681i | 0.201955 | − | 0.201955i | −0.598882 | − | 0.800837i | \(-0.704388\pi\) |
0.800837 | + | 0.598882i | \(0.204388\pi\) | |||||||
\(114\) | 6.99778 | + | 2.83390i | 0.655403 | + | 0.265420i | ||||
\(115\) | −16.9577 | − | 1.73128i | −1.58131 | − | 0.161443i | ||||
\(116\) | 1.64787 | − | 1.96385i | 0.153001 | − | 0.182339i | ||||
\(117\) | −0.141702 | − | 10.4926i | −0.0131003 | − | 0.970037i | ||||
\(118\) | −8.69937 | + | 12.4240i | −0.800842 | + | 1.14372i | ||||
\(119\) | 1.21301 | − | 6.87931i | 0.111196 | − | 0.630625i | ||||
\(120\) | 3.28241 | − | 2.05566i | 0.299642 | − | 0.187656i | ||||
\(121\) | 8.88126 | + | 15.3828i | 0.807388 | + | 1.39844i | ||||
\(122\) | 7.44752 | − | 1.99556i | 0.674267 | − | 0.180669i | ||||
\(123\) | 7.88237 | − | 1.09193i | 0.710729 | − | 0.0984558i | ||||
\(124\) | 6.05091 | + | 7.21120i | 0.543388 | + | 0.647585i | ||||
\(125\) | −0.485361 | + | 11.1698i | −0.0434120 | + | 0.999057i | ||||
\(126\) | −2.24167 | + | 3.29526i | −0.199703 | + | 0.293565i | ||||
\(127\) | −4.86876 | + | 2.27034i | −0.432033 | + | 0.201460i | −0.626455 | − | 0.779458i | \(-0.715495\pi\) |
0.194422 | + | 0.980918i | \(0.437717\pi\) | |||||||
\(128\) | −0.573576 | − | 0.819152i | −0.0506975 | − | 0.0724035i | ||||
\(129\) | −0.395193 | − | 0.936151i | −0.0347948 | − | 0.0824235i | ||||
\(130\) | 4.00833 | − | 6.71621i | 0.351554 | − | 0.589051i | ||||
\(131\) | 10.5741 | − | 12.6017i | 0.923861 | − | 1.10101i | −0.0707665 | − | 0.997493i | \(-0.522545\pi\) |
0.994627 | − | 0.103521i | \(-0.0330110\pi\) | |||||||
\(132\) | −4.93802 | + | 7.86788i | −0.429800 | + | 0.684811i | ||||
\(133\) | −5.01827 | − | 2.88953i | −0.435140 | − | 0.250554i | ||||
\(134\) | −12.1164 | −1.04670 | ||||||||
\(135\) | 1.44996 | − | 11.5281i | 0.124792 | − | 0.992183i | ||||
\(136\) | 4.94109 | − | 1.79841i | 0.423695 | − | 0.154212i | ||||
\(137\) | 8.44657 | − | 12.0629i | 0.721639 | − | 1.03061i | −0.275948 | − | 0.961173i | \(-0.588992\pi\) |
0.997587 | − | 0.0694345i | \(-0.0221195\pi\) | |||||||
\(138\) | 9.79476 | + | 8.85432i | 0.833785 | + | 0.753730i | ||||
\(139\) | 1.32450 | − | 3.63904i | 0.112343 | − | 0.308660i | −0.870761 | − | 0.491706i | \(-0.836374\pi\) |
0.983104 | + | 0.183046i | \(0.0585958\pi\) | |||||||
\(140\) | −2.71015 | + | 1.21632i | −0.229049 | + | 0.102798i | ||||
\(141\) | −1.58316 | + | 5.14194i | −0.133326 | + | 0.433029i | ||||
\(142\) | 0.457062 | − | 5.22424i | 0.0383558 | − | 0.438409i | ||||
\(143\) | −1.63497 | + | 18.6878i | −0.136723 | + | 1.56275i | ||||
\(144\) | −2.99184 | − | 0.221086i | −0.249320 | − | 0.0184239i | ||||
\(145\) | 2.03838 | − | 5.35779i | 0.169278 | − | 0.444940i | ||||
\(146\) | −4.28998 | + | 11.7866i | −0.355041 | + | 0.975468i | ||||
\(147\) | −6.08065 | + | 6.72648i | −0.501523 | + | 0.554791i | ||||
\(148\) | 2.24952 | − | 3.21265i | 0.184910 | − | 0.264078i | ||||
\(149\) | 12.3106 | − | 4.48069i | 1.00852 | − | 0.367072i | 0.215657 | − | 0.976469i | \(-0.430811\pi\) |
0.792865 | + | 0.609397i | \(0.208588\pi\) | |||||||
\(150\) | 5.42323 | − | 6.75193i | 0.442805 | − | 0.551293i | ||||
\(151\) | 21.4721 | 1.74737 | 0.873686 | − | 0.486490i | \(-0.161723\pi\) | ||||
0.873686 | + | 0.486490i | \(0.161723\pi\) | |||||||
\(152\) | −0.00506498 | − | 4.35890i | −0.000410824 | − | 0.353553i | ||||
\(153\) | 5.19457 | − | 14.8948i | 0.419956 | − | 1.20417i | ||||
\(154\) | 4.57970 | − | 5.45787i | 0.369043 | − | 0.439808i | ||||
\(155\) | 18.0750 | + | 10.7874i | 1.45182 | + | 0.866467i | ||||
\(156\) | −5.58148 | + | 2.35620i | −0.446876 | + | 0.188647i | ||||
\(157\) | 0.0739605 | + | 0.105627i | 0.00590269 | + | 0.00842992i | 0.822093 | − | 0.569354i | \(-0.192807\pi\) |
−0.816190 | + | 0.577784i | \(0.803918\pi\) | |||||||
\(158\) | −0.519317 | + | 0.242162i | −0.0413147 | + | 0.0192654i | ||||
\(159\) | −2.49761 | + | 2.31985i | −0.198073 | + | 0.183976i | ||||
\(160\) | −1.81292 | − | 1.30893i | −0.143324 | − | 0.103480i | ||||
\(161\) | −6.50964 | − | 7.75788i | −0.513031 | − | 0.611407i | ||||
\(162\) | −6.18978 | + | 6.53350i | −0.486315 | + | 0.513320i | ||||
\(163\) | 12.9706 | − | 3.47547i | 1.01594 | − | 0.272220i | 0.287830 | − | 0.957682i | \(-0.407066\pi\) |
0.728109 | + | 0.685462i | \(0.240400\pi\) | |||||||
\(164\) | −2.29717 | − | 3.97882i | −0.179379 | − | 0.310694i | ||||
\(165\) | −4.65217 | + | 20.2434i | −0.362171 | + | 1.57595i | ||||
\(166\) | 2.33408 | − | 13.2372i | 0.181159 | − | 1.02741i | ||||
\(167\) | −1.24372 | + | 1.77622i | −0.0962421 | + | 0.137448i | −0.864385 | − | 0.502830i | \(-0.832292\pi\) |
0.768143 | + | 0.640278i | \(0.221181\pi\) | |||||||
\(168\) | 2.24977 | + | 0.482848i | 0.173573 | + | 0.0372525i | ||||
\(169\) | 0.491824 | − | 0.586133i | 0.0378326 | − | 0.0450872i | ||||
\(170\) | 9.11537 | − | 7.42654i | 0.699117 | − | 0.569589i | ||||
\(171\) | −10.1395 | − | 8.25772i | −0.775389 | − | 0.631484i | ||||
\(172\) | −0.414841 | + | 0.414841i | −0.0316313 | + | 0.0316313i | ||||
\(173\) | −7.48477 | + | 0.654833i | −0.569057 | + | 0.0497860i | −0.368054 | − | 0.929805i | \(-0.619976\pi\) |
−0.201003 | + | 0.979591i | \(0.564420\pi\) | |||||||
\(174\) | −3.72874 | + | 2.41102i | −0.282675 | + | 0.182779i | ||||
\(175\) | −4.83089 | + | 4.55897i | −0.365181 | + | 0.344626i | ||||
\(176\) | 5.28159 | + | 0.931287i | 0.398115 | + | 0.0701984i | ||||
\(177\) | 20.7328 | − | 16.1324i | 1.55837 | − | 1.21259i | ||||
\(178\) | 1.99570 | − | 7.44804i | 0.149584 | − | 0.558255i | ||||
\(179\) | −6.10778 | + | 10.5790i | −0.456517 | + | 0.790711i | −0.998774 | − | 0.0495017i | \(-0.984237\pi\) |
0.542257 | + | 0.840213i | \(0.317570\pi\) | |||||||
\(180\) | −6.48131 | + | 1.72992i | −0.483088 | + | 0.128940i | ||||
\(181\) | 8.94144 | − | 7.50276i | 0.664612 | − | 0.557675i | −0.246853 | − | 0.969053i | \(-0.579397\pi\) |
0.911465 | + | 0.411377i | \(0.134952\pi\) | |||||||
\(182\) | 4.48848 | − | 1.20268i | 0.332708 | − | 0.0891489i | ||||
\(183\) | −13.3454 | − | 0.492419i | −0.986524 | − | 0.0364006i | ||||
\(184\) | 2.60726 | − | 7.16340i | 0.192210 | − | 0.528093i | ||||
\(185\) | 2.39214 | − | 8.43713i | 0.175874 | − | 0.620310i | ||||
\(186\) | −6.34112 | − | 15.0211i | −0.464954 | − | 1.10140i | ||||
\(187\) | −11.9179 | + | 25.5580i | −0.871522 | + | 1.86898i | ||||
\(188\) | 3.09441 | − | 0.270725i | 0.225683 | − | 0.0197447i | ||||
\(189\) | 5.39028 | − | 4.31234i | 0.392085 | − | 0.313677i | ||||
\(190\) | −3.21137 | − | 9.20256i | −0.232977 | − | 0.667624i | ||||
\(191\) | − | 26.1328i | − | 1.89091i | −0.325760 | − | 0.945453i | \(-0.605620\pi\) | ||
0.325760 | − | 0.945453i | \(-0.394380\pi\) | |||||||
\(192\) | 0.531979 | + | 1.64833i | 0.0383923 | + | 0.118958i | ||||
\(193\) | −12.8346 | − | 5.98487i | −0.923855 | − | 0.430801i | −0.0983220 | − | 0.995155i | \(-0.531348\pi\) |
−0.825533 | + | 0.564354i | \(0.809125\pi\) | |||||||
\(194\) | 0.571659 | + | 3.24204i | 0.0410427 | + | 0.232765i | ||||
\(195\) | −10.0583 | + | 9.07485i | −0.720292 | + | 0.649864i | ||||
\(196\) | 4.91942 | + | 1.79052i | 0.351387 | + | 0.127894i | ||||
\(197\) | −0.464609 | + | 1.73395i | −0.0331020 | + | 0.123539i | −0.980500 | − | 0.196520i | \(-0.937036\pi\) |
0.947398 | + | 0.320059i | \(0.103703\pi\) | |||||||
\(198\) | 12.1843 | − | 10.5074i | 0.865899 | − | 0.746731i | ||||
\(199\) | −1.70984 | − | 2.03771i | −0.121207 | − | 0.144449i | 0.702028 | − | 0.712149i | \(-0.252278\pi\) |
−0.823236 | + | 0.567700i | \(0.807833\pi\) | |||||||
\(200\) | −4.79015 | − | 1.43335i | −0.338714 | − | 0.101353i | ||||
\(201\) | 20.0571 | + | 6.17540i | 1.41472 | + | 0.435579i | ||||
\(202\) | 7.90048 | + | 2.11693i | 0.555876 | + | 0.148947i | ||||
\(203\) | 3.08664 | − | 1.43933i | 0.216640 | − | 0.101021i | ||||
\(204\) | −9.09592 | + | 0.458689i | −0.636841 | + | 0.0321146i | ||||
\(205\) | −7.77337 | − | 6.71675i | −0.542916 | − | 0.469118i | ||||
\(206\) | −1.12990 | − | 3.10436i | −0.0787235 | − | 0.216291i | ||||
\(207\) | −11.7011 | − | 19.6493i | −0.813282 | − | 1.36572i | ||||
\(208\) | 2.47334 | + | 2.47334i | 0.171496 | + | 0.171496i | ||||
\(209\) | 16.5493 | + | 16.5109i | 1.14474 | + | 1.14208i | ||||
\(210\) | 5.10621 | − | 0.632166i | 0.352362 | − | 0.0436236i | ||||
\(211\) | −1.98922 | − | 1.66915i | −0.136943 | − | 0.114909i | 0.571743 | − | 0.820433i | \(-0.306267\pi\) |
−0.708686 | + | 0.705524i | \(0.750712\pi\) | |||||||
\(212\) | 1.78367 | + | 0.831737i | 0.122503 | + | 0.0571239i | ||||
\(213\) | −3.41926 | + | 8.41508i | −0.234284 | + | 0.576592i | ||||
\(214\) | −5.92618 | − | 1.04495i | −0.405105 | − | 0.0714310i | ||||
\(215\) | −0.571559 | + | 1.18078i | −0.0389800 | + | 0.0805287i | ||||
\(216\) | 4.83991 | + | 1.89084i | 0.329314 | + | 0.128655i | ||||
\(217\) | 3.23672 | + | 12.0796i | 0.219723 | + | 0.820018i | ||||
\(218\) | −0.212825 | + | 2.43260i | −0.0144143 | + | 0.164756i | ||||
\(219\) | 13.1088 | − | 17.3247i | 0.885811 | − | 1.17069i | ||||
\(220\) | 11.8389 | − | 1.91126i | 0.798179 | − | 0.128857i | ||||
\(221\) | −15.9282 | + | 9.19617i | −1.07145 | + | 0.618601i | ||||
\(222\) | −5.36118 | + | 4.17159i | −0.359819 | + | 0.279979i | ||||
\(223\) | −22.1860 | + | 15.5348i | −1.48569 | + | 1.04029i | −0.501101 | + | 0.865389i | \(0.667071\pi\) |
−0.984586 | + | 0.174900i | \(0.944040\pi\) | |||||||
\(224\) | −0.230689 | − | 1.30830i | −0.0154135 | − | 0.0874145i | ||||
\(225\) | −12.4187 | + | 8.41283i | −0.827914 | + | 0.560856i | ||||
\(226\) | 2.32574 | + | 1.95153i | 0.154706 | + | 0.129814i | ||||
\(227\) | −10.5330 | − | 10.5330i | −0.699098 | − | 0.699098i | 0.265118 | − | 0.964216i | \(-0.414589\pi\) |
−0.964216 | + | 0.265118i | \(0.914589\pi\) | |||||||
\(228\) | −2.21322 | + | 7.21815i | −0.146574 | + | 0.478033i | ||||
\(229\) | − | 6.15926i | − | 0.407015i | −0.979073 | − | 0.203508i | \(-0.934766\pi\) | ||
0.979073 | − | 0.203508i | \(-0.0652342\pi\) | |||||||
\(230\) | 0.246733 | − | 17.0440i | 0.0162691 | − | 1.12385i | ||||
\(231\) | −10.3628 | + | 6.70063i | −0.681822 | + | 0.440869i | ||||
\(232\) | 2.10000 | + | 1.47044i | 0.137872 | + | 0.0965388i | ||||
\(233\) | 16.0181 | + | 22.8762i | 1.04938 | + | 1.49867i | 0.855608 | + | 0.517625i | \(0.173184\pi\) |
0.193773 | + | 0.981046i | \(0.437927\pi\) | |||||||
\(234\) | 10.4403 | − | 1.05565i | 0.682502 | − | 0.0690099i | ||||
\(235\) | 6.33680 | − | 2.84397i | 0.413367 | − | 0.185520i | ||||
\(236\) | −13.1349 | − | 7.58345i | −0.855010 | − | 0.493640i | ||||
\(237\) | 0.983083 | − | 0.136184i | 0.0638581 | − | 0.00884613i | ||||
\(238\) | 6.95885 | + | 0.608821i | 0.451075 | + | 0.0394640i | ||||
\(239\) | −5.78737 | + | 10.0240i | −0.374354 | + | 0.648400i | −0.990230 | − | 0.139443i | \(-0.955469\pi\) |
0.615876 | + | 0.787843i | \(0.288802\pi\) | |||||||
\(240\) | 2.33392 | + | 3.09076i | 0.150654 | + | 0.199508i | ||||
\(241\) | −0.940669 | − | 0.342376i | −0.0605938 | − | 0.0220544i | 0.311545 | − | 0.950231i | \(-0.399153\pi\) |
−0.372139 | + | 0.928177i | \(0.621376\pi\) | |||||||
\(242\) | −14.5502 | + | 10.1882i | −0.935323 | + | 0.654920i | ||||
\(243\) | 13.5763 | − | 7.66057i | 0.870920 | − | 0.491426i | ||||
\(244\) | 2.63706 | + | 7.24526i | 0.168820 | + | 0.463830i | ||||
\(245\) | 11.7049 | + | 0.169443i | 0.747798 | + | 0.0108253i | ||||
\(246\) | 1.77477 | + | 7.75720i | 0.113155 | + | 0.494581i | ||||
\(247\) | 2.66501 | + | 15.0120i | 0.169571 | + | 0.955190i | ||||
\(248\) | −6.65638 | + | 6.65638i | −0.422681 | + | 0.422681i | ||||
\(249\) | −10.6104 | + | 20.7228i | −0.672406 | + | 1.31325i | ||||
\(250\) | −11.1696 | + | 0.489998i | −0.706427 | + | 0.0309902i | ||||
\(251\) | −20.4656 | + | 3.60863i | −1.29178 | + | 0.227775i | −0.776973 | − | 0.629534i | \(-0.783246\pi\) |
−0.514802 | + | 0.857309i | \(0.672135\pi\) | |||||||
\(252\) | −3.47809 | − | 1.94593i | −0.219099 | − | 0.122582i | ||||
\(253\) | 17.2781 | + | 37.0529i | 1.08626 | + | 2.32950i | ||||
\(254\) | −2.68604 | − | 4.65236i | −0.168537 | − | 0.291915i | ||||
\(255\) | −18.8744 | + | 7.64778i | −1.18196 | + | 0.478923i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −4.47707 | − | 0.391693i | −0.279272 | − | 0.0244332i | −0.0533408 | − | 0.998576i | \(-0.516987\pi\) |
−0.225931 | + | 0.974143i | \(0.572543\pi\) | |||||||
\(258\) | 0.898146 | − | 0.475280i | 0.0559161 | − | 0.0295896i | ||||
\(259\) | 4.51217 | − | 2.60511i | 0.280373 | − | 0.161873i | ||||
\(260\) | 7.04001 | + | 3.40773i | 0.436603 | + | 0.211338i | ||||
\(261\) | 7.40126 | − | 2.09068i | 0.458127 | − | 0.129410i | ||||
\(262\) | 13.4753 | + | 9.43552i | 0.832508 | + | 0.582929i | ||||
\(263\) | −1.77574 | + | 3.80808i | −0.109497 | + | 0.234816i | −0.953419 | − | 0.301649i | \(-0.902463\pi\) |
0.843922 | + | 0.536465i | \(0.180241\pi\) | |||||||
\(264\) | −8.26832 | − | 4.23350i | −0.508880 | − | 0.260554i | ||||
\(265\) | 4.37795 | + | 0.446964i | 0.268936 | + | 0.0274568i | ||||
\(266\) | 2.44117 | − | 5.25102i | 0.149677 | − | 0.321961i | ||||
\(267\) | −7.09967 | + | 11.3121i | −0.434493 | + | 0.692288i | ||||
\(268\) | −1.05602 | − | 12.0703i | −0.0645064 | − | 0.737312i | ||||
\(269\) | 7.87469 | − | 2.86615i | 0.480128 | − | 0.174752i | −0.0906067 | − | 0.995887i | \(-0.528881\pi\) |
0.570735 | + | 0.821134i | \(0.306658\pi\) | |||||||
\(270\) | 11.6106 | + | 0.439698i | 0.706600 | + | 0.0267592i | ||||
\(271\) | −0.0185044 | + | 0.104944i | −0.00112406 | + | 0.00637489i | −0.985365 | − | 0.170460i | \(-0.945475\pi\) |
0.984241 | + | 0.176835i | \(0.0565858\pi\) | |||||||
\(272\) | 2.22221 | + | 4.76555i | 0.134741 | + | 0.288954i | ||||
\(273\) | −8.04305 | − | 0.296771i | −0.486787 | − | 0.0179614i | ||||
\(274\) | 12.7532 | + | 7.36307i | 0.770450 | + | 0.444819i | ||||
\(275\) | 23.6012 | − | 12.7298i | 1.42320 | − | 0.767638i | ||||
\(276\) | −7.96696 | + | 10.5292i | −0.479555 | + | 0.633783i | ||||
\(277\) | −5.05671 | − | 18.8719i | −0.303828 | − | 1.13390i | −0.933950 | − | 0.357405i | \(-0.883662\pi\) |
0.630122 | − | 0.776496i | \(-0.283005\pi\) | |||||||
\(278\) | 3.74063 | + | 1.00230i | 0.224348 | + | 0.0601139i | ||||
\(279\) | 2.84101 | + | 28.0974i | 0.170087 | + | 1.68215i | ||||
\(280\) | −1.44790 | − | 2.59383i | −0.0865283 | − | 0.155011i | ||||
\(281\) | 0.643203 | − | 0.113414i | 0.0383703 | − | 0.00676571i | −0.154430 | − | 0.988004i | \(-0.549354\pi\) |
0.192800 | + | 0.981238i | \(0.438243\pi\) | |||||||
\(282\) | −5.26035 | − | 1.12898i | −0.313249 | − | 0.0672300i | ||||
\(283\) | −0.567199 | − | 6.48312i | −0.0337165 | − | 0.385381i | −0.994240 | − | 0.107181i | \(-0.965818\pi\) |
0.960523 | − | 0.278200i | \(-0.0897379\pi\) | |||||||
\(284\) | 5.24420 | 0.311186 | ||||||||
\(285\) | 0.625705 | + | 16.8703i | 0.0370636 | + | 0.999313i | ||||
\(286\) | −18.7591 | −1.10925 | ||||||||
\(287\) | −0.531956 | − | 6.08028i | −0.0314004 | − | 0.358908i | ||||
\(288\) | −0.0405112 | − | 2.99973i | −0.00238715 | − | 0.176761i | ||||
\(289\) | −10.4869 | + | 1.84913i | −0.616877 | + | 0.108772i | ||||
\(290\) | 5.51506 | + | 1.56366i | 0.323855 | + | 0.0918212i | ||||
\(291\) | 0.706072 | − | 5.65811i | 0.0413907 | − | 0.331684i | ||||
\(292\) | −12.1157 | − | 3.24638i | −0.709016 | − | 0.189980i | ||||
\(293\) | −6.31955 | − | 23.5849i | −0.369192 | − | 1.37784i | −0.861648 | − | 0.507506i | \(-0.830567\pi\) |
0.492456 | − | 0.870337i | \(-0.336099\pi\) | |||||||
\(294\) | −7.23085 | − | 5.47126i | −0.421712 | − | 0.319090i | ||||
\(295\) | −33.3102 | − | 6.37196i | −1.93940 | − | 0.370990i | ||||
\(296\) | 3.39649 | + | 1.96096i | 0.197417 | + | 0.113979i | ||||
\(297\) | −25.5248 | + | 11.1837i | −1.48110 | + | 0.648942i | ||||
\(298\) | 5.53658 | + | 11.8732i | 0.320725 | + | 0.687797i | ||||
\(299\) | −4.63023 | + | 26.2594i | −0.267773 | + | 1.51862i | ||||
\(300\) | 7.19890 | + | 4.81413i | 0.415629 | + | 0.277944i | ||||
\(301\) | −0.732383 | + | 0.266566i | −0.0422138 | + | 0.0153646i | ||||
\(302\) | 1.87141 | + | 21.3904i | 0.107688 | + | 1.23088i | ||||
\(303\) | −11.9992 | − | 7.53095i | −0.689339 | − | 0.432642i | ||||
\(304\) | 4.34187 | − | 0.384949i | 0.249023 | − | 0.0220783i | ||||
\(305\) | 10.8897 | + | 13.3661i | 0.623544 | + | 0.765341i | ||||
\(306\) | 15.2908 | + | 3.87664i | 0.874119 | + | 0.221613i | ||||
\(307\) | 8.92235 | − | 19.1341i | 0.509226 | − | 1.09204i | −0.468752 | − | 0.883330i | \(-0.655296\pi\) |
0.977978 | − | 0.208708i | \(-0.0669259\pi\) | |||||||
\(308\) | 5.83625 | + | 4.08659i | 0.332551 | + | 0.232855i | ||||
\(309\) | 0.288182 | + | 5.71473i | 0.0163941 | + | 0.325100i | ||||
\(310\) | −9.17104 | + | 18.9464i | −0.520880 | + | 1.07608i | ||||
\(311\) | −24.5864 | + | 14.1950i | −1.39417 | + | 0.804923i | −0.993773 | − | 0.111420i | \(-0.964460\pi\) |
−0.400394 | + | 0.916343i | \(0.631127\pi\) | |||||||
\(312\) | −2.83369 | − | 5.35488i | −0.160426 | − | 0.303160i | ||||
\(313\) | −25.3827 | − | 2.22070i | −1.43472 | − | 0.125521i | −0.656883 | − | 0.753992i | \(-0.728126\pi\) |
−0.777833 | + | 0.628471i | \(0.783681\pi\) | |||||||
\(314\) | −0.0987785 | + | 0.0828850i | −0.00557440 | + | 0.00467747i | ||||
\(315\) | −8.77484 | − | 1.55603i | −0.494406 | − | 0.0876723i | ||||
\(316\) | −0.286502 | − | 0.496236i | −0.0161170 | − | 0.0279154i | ||||
\(317\) | 4.72325 | + | 10.1290i | 0.265284 | + | 0.568904i | 0.993154 | − | 0.116811i | \(-0.0372673\pi\) |
−0.727870 | + | 0.685715i | \(0.759489\pi\) | |||||||
\(318\) | −2.52870 | − | 2.28591i | −0.141803 | − | 0.128188i | ||||
\(319\) | −13.5400 | + | 2.38747i | −0.758096 | + | 0.133673i | ||||
\(320\) | 1.14595 | − | 1.92011i | 0.0640604 | − | 0.107337i | ||||
\(321\) | 9.27741 | + | 4.75017i | 0.517814 | + | 0.265129i | ||||
\(322\) | 7.16101 | − | 7.16101i | 0.399067 | − | 0.399067i | ||||
\(323\) | −3.95378 | + | 22.5764i | −0.219994 | + | 1.25618i | ||||
\(324\) | −7.04811 | − | 5.59680i | −0.391562 | − | 0.310933i | ||||
\(325\) | 17.3712 | + | 2.02797i | 0.963581 | + | 0.112491i | ||||
\(326\) | 4.59271 | + | 12.6184i | 0.254367 | + | 0.698867i | ||||
\(327\) | 1.59213 | − | 3.91837i | 0.0880450 | − | 0.216686i | ||||
\(328\) | 3.76347 | − | 2.63521i | 0.207803 | − | 0.145505i | ||||
\(329\) | 3.87771 | + | 1.41137i | 0.213785 | + | 0.0778113i | ||||
\(330\) | −20.5718 | − | 2.87013i | −1.13244 | − | 0.157996i | ||||
\(331\) | 12.8597 | − | 22.2737i | 0.706835 | − | 1.22427i | −0.259190 | − | 0.965826i | \(-0.583456\pi\) |
0.966025 | − | 0.258448i | \(-0.0832110\pi\) | |||||||
\(332\) | 13.3903 | + | 1.17150i | 0.734886 | + | 0.0642942i | ||||
\(333\) | 11.0009 | − | 4.17307i | 0.602844 | − | 0.228683i | ||||
\(334\) | −1.87786 | − | 1.08418i | −0.102752 | − | 0.0593238i | ||||
\(335\) | −11.0934 | − | 24.7179i | −0.606099 | − | 1.35048i | ||||
\(336\) | −0.284930 | + | 2.28329i | −0.0155442 | + | 0.124564i | ||||
\(337\) | −2.77873 | − | 3.96843i | −0.151367 | − | 0.216174i | 0.736306 | − | 0.676648i | \(-0.236568\pi\) |
−0.887673 | + | 0.460474i | \(0.847679\pi\) | |||||||
\(338\) | 0.626768 | + | 0.438868i | 0.0340917 | + | 0.0238713i | ||||
\(339\) | −2.85531 | − | 4.41586i | −0.155079 | − | 0.239837i | ||||
\(340\) | 8.19274 | + | 8.43342i | 0.444313 | + | 0.457366i | ||||
\(341\) | − | 50.4855i | − | 2.73394i | ||||||
\(342\) | 7.34258 | − | 10.8207i | 0.397041 | − | 0.585114i | ||||
\(343\) | 11.4934 | + | 11.4934i | 0.620587 | + | 0.620587i | ||||
\(344\) | −0.449418 | − | 0.377106i | −0.0242310 | − | 0.0203322i | ||||
\(345\) | −9.09531 | + | 28.0884i | −0.489675 | + | 1.51223i | ||||
\(346\) | −1.30468 | − | 7.39922i | −0.0701401 | − | 0.397784i | ||||
\(347\) | 18.2061 | − | 12.7480i | 0.977354 | − | 0.684350i | 0.0283442 | − | 0.999598i | \(-0.490977\pi\) |
0.949009 | + | 0.315248i | \(0.102088\pi\) | |||||||
\(348\) | −2.72683 | − | 3.50442i | −0.146173 | − | 0.187857i | ||||
\(349\) | 20.1776 | − | 11.6496i | 1.08008 | − | 0.623587i | 0.149165 | − | 0.988812i | \(-0.452342\pi\) |
0.930919 | + | 0.365226i | \(0.119008\pi\) | |||||||
\(350\) | −4.96266 | − | 4.41516i | −0.265265 | − | 0.236000i | ||||
\(351\) | −17.8205 | − | 3.57363i | −0.951188 | − | 0.190746i | ||||
\(352\) | −0.467422 | + | 5.34266i | −0.0249137 | + | 0.284765i | ||||
\(353\) | 6.17329 | + | 23.0390i | 0.328571 | + | 1.22624i | 0.910673 | + | 0.413128i | \(0.135564\pi\) |
−0.582102 | + | 0.813116i | \(0.697770\pi\) | |||||||
\(354\) | 17.8780 | + | 19.2479i | 0.950206 | + | 1.02301i | ||||
\(355\) | 11.0761 | − | 3.85074i | 0.587858 | − | 0.204376i | ||||
\(356\) | 7.59364 | + | 1.33896i | 0.402462 | + | 0.0709649i | ||||
\(357\) | −11.2091 | − | 4.55455i | −0.593251 | − | 0.241053i | ||||
\(358\) | −11.0711 | − | 5.16252i | −0.585124 | − | 0.272848i | ||||
\(359\) | 16.9445 | + | 14.2181i | 0.894296 | + | 0.750404i | 0.969067 | − | 0.246797i | \(-0.0793781\pi\) |
−0.0747709 | + | 0.997201i | \(0.523823\pi\) | |||||||
\(360\) | −2.28822 | − | 6.30587i | −0.120600 | − | 0.332349i | ||||
\(361\) | 16.4765 | + | 9.46173i | 0.867185 | + | 0.497986i | ||||
\(362\) | 8.25350 | + | 8.25350i | 0.433794 | + | 0.433794i | ||||
\(363\) | 29.2785 | − | 9.44930i | 1.53672 | − | 0.495960i | ||||
\(364\) | 1.58930 | + | 4.36658i | 0.0833022 | + | 0.228871i | ||||
\(365\) | −27.9729 | + | 2.03978i | −1.46417 | + | 0.106767i | ||||
\(366\) | −0.672587 | − | 13.3376i | −0.0351567 | − | 0.697166i | ||||
\(367\) | 16.6067 | − | 7.74385i | 0.866865 | − | 0.404226i | 0.0622767 | − | 0.998059i | \(-0.480164\pi\) |
0.804588 | + | 0.593833i | \(0.202386\pi\) | |||||||
\(368\) | 7.36338 | + | 1.97301i | 0.383843 | + | 0.102850i | ||||
\(369\) | 1.01575 | − | 13.7456i | 0.0528777 | − | 0.715565i | ||||
\(370\) | 8.61351 | + | 1.64769i | 0.447795 | + | 0.0856594i | ||||
\(371\) | 1.68059 | + | 2.00285i | 0.0872518 | + | 0.103983i | ||||
\(372\) | 14.4113 | − | 7.62617i | 0.747192 | − | 0.395399i | ||||
\(373\) | 3.10888 | − | 11.6025i | 0.160972 | − | 0.600754i | −0.837548 | − | 0.546364i | \(-0.816012\pi\) |
0.998520 | − | 0.0543907i | \(-0.0173216\pi\) | |||||||
\(374\) | −26.4994 | − | 9.64501i | −1.37025 | − | 0.498731i | ||||
\(375\) | 18.7395 | + | 4.88171i | 0.967704 | + | 0.252090i | ||||
\(376\) | 0.539390 | + | 3.05904i | 0.0278169 | + | 0.157758i | ||||
\(377\) | −8.12699 | − | 3.78968i | −0.418562 | − | 0.195178i | ||||
\(378\) | 4.76573 | + | 4.99392i | 0.245123 | + | 0.256860i | ||||
\(379\) | 9.26421i | 0.475871i | 0.971281 | + | 0.237935i | \(0.0764706\pi\) | ||||
−0.971281 | + | 0.237935i | \(0.923529\pi\) | |||||||
\(380\) | 8.88765 | − | 4.00121i | 0.455927 | − | 0.205258i | ||||
\(381\) | 2.07520 | + | 9.07036i | 0.106316 | + | 0.464689i | ||||
\(382\) | 26.0334 | − | 2.27763i | 1.33198 | − | 0.116533i | ||||
\(383\) | −3.64878 | + | 7.82484i | −0.186444 | + | 0.399831i | −0.977206 | − | 0.212293i | \(-0.931907\pi\) |
0.790762 | + | 0.612124i | \(0.209685\pi\) | |||||||
\(384\) | −1.59569 | + | 0.673617i | −0.0814299 | + | 0.0343754i | ||||
\(385\) | 15.3273 | + | 4.34567i | 0.781150 | + | 0.221476i | ||||
\(386\) | 4.84349 | − | 13.3074i | 0.246527 | − | 0.677328i | ||||
\(387\) | −1.72900 | + | 0.329002i | −0.0878898 | + | 0.0167241i | ||||
\(388\) | −3.17988 | + | 0.852045i | −0.161434 | + | 0.0432560i | ||||
\(389\) | −3.42337 | + | 2.87255i | −0.173572 | + | 0.145644i | −0.725435 | − | 0.688290i | \(-0.758361\pi\) |
0.551863 | + | 0.833935i | \(0.313917\pi\) | |||||||
\(390\) | −9.91696 | − | 9.22913i | −0.502165 | − | 0.467335i | ||||
\(391\) | −20.0420 | + | 34.7137i | −1.01357 | + | 1.75555i | ||||
\(392\) | −1.35495 | + | 5.05675i | −0.0684354 | + | 0.255404i | ||||
\(393\) | −17.4976 | − | 22.4872i | −0.882635 | − | 1.13433i | ||||
\(394\) | −1.76784 | − | 0.311718i | −0.0890625 | − | 0.0157041i | ||||
\(395\) | −0.969489 | − | 0.837708i | −0.0487803 | − | 0.0421497i | ||||
\(396\) | 11.5294 | + | 11.2221i | 0.579373 | + | 0.563933i | ||||
\(397\) | −0.934852 | + | 0.0817890i | −0.0469189 | + | 0.00410487i | −0.110591 | − | 0.993866i | \(-0.535274\pi\) |
0.0636721 | + | 0.997971i | \(0.479719\pi\) | |||||||
\(398\) | 1.88093 | − | 1.88093i | 0.0942825 | − | 0.0942825i | ||||
\(399\) | −6.71732 | + | 7.44816i | −0.336287 | + | 0.372874i | ||||
\(400\) | 1.01041 | − | 4.89684i | 0.0505205 | − | 0.244842i | ||||
\(401\) | 4.07946 | − | 4.86171i | 0.203718 | − | 0.242782i | −0.654506 | − | 0.756057i | \(-0.727123\pi\) |
0.858224 | + | 0.513275i | \(0.171568\pi\) | |||||||
\(402\) | −4.40381 | + | 20.5190i | −0.219642 | + | 1.02339i | ||||
\(403\) | 18.8862 | − | 26.9723i | 0.940788 | − | 1.34358i | ||||
\(404\) | −1.42030 | + | 8.05492i | −0.0706626 | + | 0.400747i | ||||
\(405\) | −18.9957 | − | 6.64548i | −0.943905 | − | 0.330216i | ||||
\(406\) | 1.70287 | + | 2.94945i | 0.0845119 | + | 0.146379i | ||||
\(407\) | −20.3169 | + | 5.44389i | −1.00707 | + | 0.269843i | ||||
\(408\) | −1.24970 | − | 9.02133i | −0.0618696 | − | 0.446622i | ||||
\(409\) | −9.11814 | − | 10.8666i | −0.450863 | − | 0.537318i | 0.491957 | − | 0.870619i | \(-0.336282\pi\) |
−0.942820 | + | 0.333302i | \(0.891837\pi\) | |||||||
\(410\) | 6.01370 | − | 8.32919i | 0.296995 | − | 0.411350i | ||||
\(411\) | −17.3585 | − | 18.6885i | −0.856230 | − | 0.921837i | ||||
\(412\) | 2.99407 | − | 1.39616i | 0.147507 | − | 0.0687838i | ||||
\(413\) | −11.5570 | − | 16.5051i | −0.568681 | − | 0.812161i | ||||
\(414\) | 18.5547 | − | 13.3691i | 0.911912 | − | 0.657056i | ||||
\(415\) | 29.1413 | − | 7.35800i | 1.43049 | − | 0.361190i | ||||
\(416\) | −2.24837 | + | 2.67950i | −0.110235 | + | 0.131373i | ||||
\(417\) | −5.68127 | − | 3.56567i | −0.278213 | − | 0.174612i | ||||
\(418\) | −15.0057 | + | 17.9253i | −0.733952 | + | 0.876757i | ||||
\(419\) | −30.5521 | −1.49257 | −0.746285 | − | 0.665627i | \(-0.768164\pi\) | ||||
−0.746285 | + | 0.665627i | \(0.768164\pi\) | |||||||
\(420\) | 1.07480 | + | 5.03168i | 0.0524447 | + | 0.245521i | ||||
\(421\) | 2.76749 | − | 1.00728i | 0.134879 | − | 0.0490920i | −0.273699 | − | 0.961816i | \(-0.588247\pi\) |
0.408578 | + | 0.912723i | \(0.366025\pi\) | |||||||
\(422\) | 1.48943 | − | 2.12713i | 0.0725043 | − | 0.103547i | ||||
\(423\) | 8.13239 | + | 4.54994i | 0.395411 | + | 0.221225i | ||||
\(424\) | −0.673115 | + | 1.84937i | −0.0326894 | + | 0.0898133i | ||||
\(425\) | 23.4961 | + | 11.7961i | 1.13973 | + | 0.572197i | ||||
\(426\) | −8.68107 | − | 2.67282i | −0.420599 | − | 0.129499i | ||||
\(427\) | −0.892730 | + | 10.2039i | −0.0432022 | + | 0.493804i | ||||
\(428\) | 0.524468 | − | 5.99470i | 0.0253511 | − | 0.289765i | ||||
\(429\) | 31.0532 | + | 9.56102i | 1.49926 | + | 0.461610i | ||||
\(430\) | −1.22610 | − | 0.466473i | −0.0591280 | − | 0.0224953i | ||||
\(431\) | −5.28621 | + | 14.5237i | −0.254628 | + | 0.699584i | 0.744849 | + | 0.667233i | \(0.232521\pi\) |
−0.999477 | + | 0.0323505i | \(0.989701\pi\) | |||||||
\(432\) | −1.46182 | + | 4.98629i | −0.0703317 | + | 0.239903i | ||||
\(433\) | 7.60051 | − | 10.8547i | 0.365257 | − | 0.521642i | −0.593891 | − | 0.804546i | \(-0.702409\pi\) |
0.959148 | + | 0.282904i | \(0.0912978\pi\) | |||||||
\(434\) | −11.7516 | + | 4.27722i | −0.564093 | + | 0.205313i | ||||
\(435\) | −8.33248 | − | 5.39930i | −0.399512 | − | 0.258877i | ||||
\(436\) | −2.44189 | −0.116945 | ||||||||
\(437\) | 21.3884 | + | 25.4296i | 1.02315 | + | 1.21646i | ||||
\(438\) | 18.4013 | + | 11.5490i | 0.879247 | + | 0.551831i | ||||
\(439\) | −17.5128 | + | 20.8709i | −0.835839 | + | 0.996115i | 0.164114 | + | 0.986441i | \(0.447524\pi\) |
−0.999953 | + | 0.00967317i | \(0.996921\pi\) | |||||||
\(440\) | 2.93581 | + | 11.6273i | 0.139959 | + | 0.554309i | ||||
\(441\) | 9.18115 | + | 12.7423i | 0.437198 | + | 0.606776i | ||||
\(442\) | −10.5494 | − | 15.0661i | −0.501784 | − | 0.716622i | ||||
\(443\) | 19.2043 | − | 8.95509i | 0.912422 | − | 0.425469i | 0.0910394 | − | 0.995847i | \(-0.470981\pi\) |
0.821382 | + | 0.570378i | \(0.193203\pi\) | |||||||
\(444\) | −4.62298 | − | 4.97720i | −0.219397 | − | 0.236208i | ||||
\(445\) | 17.0215 | − | 2.74792i | 0.806894 | − | 0.130264i | ||||
\(446\) | −17.4094 | − | 20.7477i | −0.824357 | − | 0.982430i | ||||
\(447\) | −3.11360 | − | 22.4764i | −0.147268 | − | 1.06310i | ||||
\(448\) | 1.28322 | − | 0.343837i | 0.0606263 | − | 0.0162448i | ||||
\(449\) | −10.1864 | − | 17.6434i | −0.480727 | − | 0.832643i | 0.519029 | − | 0.854757i | \(-0.326294\pi\) |
−0.999755 | + | 0.0221135i | \(0.992960\pi\) | |||||||
\(450\) | −9.46318 | − | 11.6382i | −0.446099 | − | 0.548631i | ||||
\(451\) | −4.27866 | + | 24.2655i | −0.201474 | + | 1.14262i | ||||
\(452\) | −1.74140 | + | 2.48698i | −0.0819087 | + | 0.116978i | ||||
\(453\) | 7.80420 | − | 36.3627i | 0.366673 | − | 1.70847i | ||||
\(454\) | 9.57489 | − | 11.4109i | 0.449372 | − | 0.535540i | ||||
\(455\) | 6.56303 | + | 8.05550i | 0.307680 | + | 0.377648i | ||||
\(456\) | −7.38357 | − | 1.57570i | −0.345768 | − | 0.0737889i | ||||
\(457\) | 18.6994 | − | 18.6994i | 0.874723 | − | 0.874723i | −0.118260 | − | 0.992983i | \(-0.537732\pi\) |
0.992983 | + | 0.118260i | \(0.0377316\pi\) | |||||||
\(458\) | 6.13582 | − | 0.536815i | 0.286708 | − | 0.0250837i | ||||
\(459\) | −23.3361 | − | 14.2106i | −1.08924 | − | 0.663293i | ||||
\(460\) | 17.0007 | − | 1.23969i | 0.792661 | − | 0.0578009i | ||||
\(461\) | 1.99173 | + | 0.351195i | 0.0927639 | + | 0.0163568i | 0.219837 | − | 0.975537i | \(-0.429447\pi\) |
−0.127074 | + | 0.991893i | \(0.540558\pi\) | |||||||
\(462\) | −7.57831 | − | 9.73937i | −0.352575 | − | 0.453117i | ||||
\(463\) | −1.67368 | + | 6.24627i | −0.0777827 | + | 0.290289i | −0.993850 | − | 0.110736i | \(-0.964679\pi\) |
0.916067 | + | 0.401025i | \(0.131346\pi\) | |||||||
\(464\) | −1.28181 | + | 2.22017i | −0.0595067 | + | 0.103069i | ||||
\(465\) | 24.8379 | − | 26.6890i | 1.15183 | − | 1.23767i | ||||
\(466\) | −21.3931 | + | 17.9509i | −0.991016 | + | 0.831561i | ||||
\(467\) | 17.6589 | − | 4.73170i | 0.817158 | − | 0.218957i | 0.174054 | − | 0.984736i | \(-0.444313\pi\) |
0.643104 | + | 0.765779i | \(0.277646\pi\) | |||||||
\(468\) | 1.96156 | + | 10.3085i | 0.0906732 | + | 0.476512i | ||||
\(469\) | 5.50531 | − | 15.1257i | 0.254212 | − | 0.698441i | ||||
\(470\) | 3.38543 | + | 6.06482i | 0.156158 | + | 0.279749i | ||||
\(471\) | 0.205759 | − | 0.0868603i | 0.00948086 | − | 0.00400231i | ||||
\(472\) | 6.40981 | − | 13.7459i | 0.295035 | − | 0.632705i | ||||
\(473\) | 3.13440 | − | 0.274224i | 0.144120 | − | 0.0126088i | ||||
\(474\) | 0.221347 | + | 0.967473i | 0.0101668 | + | 0.0444375i | ||||
\(475\) | 15.8333 | − | 14.9769i | 0.726481 | − | 0.687187i | ||||
\(476\) | 6.98543i | 0.320177i | ||||||||
\(477\) | 3.02086 | + | 5.07283i | 0.138316 | + | 0.232269i | ||||
\(478\) | −10.4903 | − | 4.89170i | −0.479814 | − | 0.223741i | ||||
\(479\) | −2.79023 | − | 15.8242i | −0.127489 | − | 0.723025i | −0.979798 | − | 0.199987i | \(-0.935910\pi\) |
0.852310 | − | 0.523037i | \(-0.175201\pi\) | |||||||
\(480\) | −2.87559 | + | 2.59442i | −0.131252 | + | 0.118418i | ||||
\(481\) | −12.8909 | − | 4.69192i | −0.587776 | − | 0.213933i | ||||
\(482\) | 0.259088 | − | 0.966930i | 0.0118011 | − | 0.0440424i | ||||
\(483\) | −15.5039 | + | 8.20432i | −0.705450 | + | 0.373309i | ||||
\(484\) | −11.4175 | − | 13.6069i | −0.518979 | − | 0.618495i | ||||
\(485\) | −6.09047 | + | 4.13451i | −0.276554 | + | 0.187739i | ||||
\(486\) | 8.81467 | + | 12.8570i | 0.399841 | + | 0.583204i | ||||
\(487\) | 6.43626 | + | 1.72459i | 0.291655 | + | 0.0781487i | 0.401680 | − | 0.915780i | \(-0.368426\pi\) |
−0.110025 | + | 0.993929i | \(0.535093\pi\) | |||||||
\(488\) | −6.98785 | + | 3.25849i | −0.316325 | + | 0.147505i | ||||
\(489\) | −1.17138 | − | 23.2288i | −0.0529717 | − | 1.05044i | ||||
\(490\) | 0.851350 | + | 11.6751i | 0.0384601 | + | 0.527428i | ||||
\(491\) | 13.9132 | + | 38.2263i | 0.627895 | + | 1.72513i | 0.686783 | + | 0.726863i | \(0.259022\pi\) |
−0.0588875 | + | 0.998265i | \(0.518755\pi\) | |||||||
\(492\) | −7.57301 | + | 2.44410i | −0.341417 | + | 0.110188i | ||||
\(493\) | −9.53185 | − | 9.53185i | −0.429293 | − | 0.429293i | ||||
\(494\) | −14.7226 | + | 3.96325i | −0.662401 | + | 0.178315i | ||||
\(495\) | 32.5911 | + | 15.2360i | 1.46486 | + | 0.684808i | ||||
\(496\) | −7.21120 | − | 6.05091i | −0.323792 | − | 0.271694i | ||||
\(497\) | 6.31409 | + | 2.94431i | 0.283226 | + | 0.132070i | ||||
\(498\) | −21.5687 | − | 8.76390i | −0.966516 | − | 0.392720i | ||||
\(499\) | 28.7195 | + | 5.06402i | 1.28566 | + | 0.226697i | 0.774382 | − | 0.632718i | \(-0.218061\pi\) |
0.511279 | + | 0.859415i | \(0.329172\pi\) | |||||||
\(500\) | −1.46163 | − | 11.0844i | −0.0653660 | − | 0.495709i | ||||
\(501\) | 2.55596 | + | 2.75181i | 0.114192 | + | 0.122942i | ||||
\(502\) | −5.37859 | − | 20.0732i | −0.240058 | − | 0.895910i | ||||
\(503\) | −0.433445 | + | 4.95430i | −0.0193264 | + | 0.220901i | 0.980390 | + | 0.197069i | \(0.0631423\pi\) |
−0.999716 | + | 0.0238323i | \(0.992413\pi\) | |||||||
\(504\) | 1.63539 | − | 3.63446i | 0.0728462 | − | 0.161892i | ||||
\(505\) | 2.91485 | + | 18.0554i | 0.129709 | + | 0.803456i | ||||
\(506\) | −35.4060 | + | 20.4417i | −1.57399 | + | 0.908744i | ||||
\(507\) | −0.813852 | − | 1.04593i | −0.0361444 | − | 0.0464515i | ||||
\(508\) | 4.40056 | − | 3.08130i | 0.195243 | − | 0.136711i | ||||
\(509\) | −2.14239 | − | 12.1501i | −0.0949598 | − | 0.538544i | −0.994760 | − | 0.102241i | \(-0.967399\pi\) |
0.899800 | − | 0.436303i | \(-0.143712\pi\) | |||||||
\(510\) | −9.26369 | − | 18.1360i | −0.410203 | − | 0.803076i | ||||
\(511\) | −12.7648 | − | 10.7109i | −0.564681 | − | 0.473824i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −17.6696 | + | 14.1698i | −0.780134 | + | 0.625613i | ||||
\(514\) | − | 4.49418i | − | 0.198230i | ||||||
\(515\) | 5.29850 | − | 5.14728i | 0.233480 | − | 0.226816i | ||||
\(516\) | 0.551750 | + | 0.853304i | 0.0242894 | + | 0.0375646i | ||||
\(517\) | −13.6462 | − | 9.55516i | −0.600158 | − | 0.420235i | ||||
\(518\) | 2.98845 | + | 4.26795i | 0.131305 | + | 0.187523i | ||||
\(519\) | −1.61145 | + | 12.9134i | −0.0707349 | + | 0.566834i | ||||
\(520\) | −2.78118 | + | 7.31022i | −0.121963 | + | 0.320574i | ||||
\(521\) | −1.73288 | − | 1.00048i | −0.0759189 | − | 0.0438318i | 0.461560 | − | 0.887109i | \(-0.347290\pi\) |
−0.537479 | + | 0.843277i | \(0.680623\pi\) | |||||||
\(522\) | 2.72779 | + | 7.19088i | 0.119392 | + | 0.314736i | ||||
\(523\) | −2.98972 | − | 0.261567i | −0.130731 | − | 0.0114375i | 0.0216022 | − | 0.999767i | \(-0.493123\pi\) |
−0.152334 | + | 0.988329i | \(0.548679\pi\) | |||||||
\(524\) | −8.22517 | + | 14.2464i | −0.359318 | + | 0.622357i | ||||
\(525\) | 5.96473 | + | 9.83804i | 0.260322 | + | 0.429367i | ||||
\(526\) | −3.94835 | − | 1.43708i | −0.172156 | − | 0.0626598i | ||||
\(527\) | 40.5467 | − | 28.3911i | 1.76624 | − | 1.23674i | ||||
\(528\) | 3.49676 | − | 8.60583i | 0.152177 | − | 0.374521i | ||||
\(529\) | 12.0090 | + | 32.9946i | 0.522132 | + | 1.43455i | ||||
\(530\) | −0.0636990 | + | 4.40025i | −0.00276691 | + | 0.191135i | ||||
\(531\) | −19.7845 | − | 40.9742i | −0.858576 | − | 1.77813i | ||||
\(532\) | 5.44380 | + | 1.97422i | 0.236019 | + | 0.0855933i | ||||
\(533\) | −11.3634 | + | 11.3634i | −0.492203 | + | 0.492203i | ||||
\(534\) | −11.8878 | − | 6.08674i | −0.514436 | − | 0.263399i | ||||
\(535\) | −3.29411 | − | 13.0463i | −0.142417 | − | 0.564041i | ||||
\(536\) | 11.9323 | − | 2.10399i | 0.515399 | − | 0.0908787i | ||||
\(537\) | 15.6955 | + | 14.1885i | 0.677309 | + | 0.612278i | ||||
\(538\) | 3.54157 | + | 7.59492i | 0.152688 | + | 0.327440i | ||||
\(539\) | −14.0382 | − | 24.3149i | −0.604668 | − | 1.04732i | ||||
\(540\) | 0.573908 | + | 11.6048i | 0.0246971 | + | 0.499390i | ||||
\(541\) | −14.4373 | + | 12.1144i | −0.620710 | + | 0.520837i | −0.898027 | − | 0.439941i | \(-0.854999\pi\) |
0.277317 | + | 0.960779i | \(0.410555\pi\) | |||||||
\(542\) | −0.106157 | − | 0.00928756i | −0.00455985 | − | 0.000398935i | ||||
\(543\) | −9.45598 | − | 17.8691i | −0.405795 | − | 0.766838i | ||||
\(544\) | −4.55374 | + | 2.62910i | −0.195240 | + | 0.112722i | ||||
\(545\) | −5.15744 | + | 1.79305i | −0.220920 | + | 0.0768056i | ||||
\(546\) | −0.405356 | − | 8.03831i | −0.0173476 | − | 0.344008i | ||||
\(547\) | 14.8732 | + | 10.4144i | 0.635934 | + | 0.445286i | 0.846569 | − | 0.532279i | \(-0.178664\pi\) |
−0.210635 | + | 0.977565i | \(0.567553\pi\) | |||||||
\(548\) | −6.22354 | + | 13.3464i | −0.265856 | + | 0.570131i | ||||
\(549\) | −5.68442 | + | 22.4214i | −0.242605 | + | 0.956920i | ||||
\(550\) | 14.7384 | + | 22.4019i | 0.628447 | + | 0.955219i | ||||
\(551\) | −10.1221 | + | 4.73435i | −0.431217 | + | 0.201690i | ||||
\(552\) | −11.1835 | − | 7.01896i | −0.476001 | − | 0.298747i | ||||
\(553\) | −0.0663452 | − | 0.758329i | −0.00282128 | − | 0.0322474i | ||||
\(554\) | 18.3593 | − | 6.68226i | 0.780014 | − | 0.283902i | ||||
\(555\) | −13.4187 | − | 7.11760i | −0.569593 | − | 0.302125i | ||||
\(556\) | −0.672468 | + | 3.81376i | −0.0285190 | + | 0.161739i | ||||
\(557\) | −10.6482 | − | 22.8352i | −0.451179 | − | 0.967557i | −0.991979 | − | 0.126405i | \(-0.959656\pi\) |
0.540799 | − | 0.841152i | \(-0.318122\pi\) | |||||||
\(558\) | −27.7429 | + | 5.27905i | −1.17445 | + | 0.223480i | ||||
\(559\) | 1.77716 | + | 1.02604i | 0.0751658 | + | 0.0433970i | ||||
\(560\) | 2.45776 | − | 1.66845i | 0.103859 | − | 0.0705050i | ||||
\(561\) | 38.9505 | + | 29.4720i | 1.64449 | + | 1.24431i | ||||
\(562\) | 0.169041 | + | 0.630870i | 0.00713057 | + | 0.0266117i | ||||
\(563\) | −14.4554 | − | 3.87331i | −0.609222 | − | 0.163241i | −0.0589989 | − | 0.998258i | \(-0.518791\pi\) |
−0.550224 | + | 0.835017i | \(0.685458\pi\) | |||||||
\(564\) | 0.666217 | − | 5.33873i | 0.0280528 | − | 0.224801i | ||||
\(565\) | −1.85180 | + | 6.53136i | −0.0779060 | + | 0.274776i | ||||
\(566\) | 6.40901 | − | 1.13008i | 0.269391 | − | 0.0475009i | ||||
\(567\) | −5.34376 | − | 10.6957i | −0.224417 | − | 0.449178i | ||||
\(568\) | 0.457062 | + | 5.22424i | 0.0191779 | + | 0.219204i | ||||
\(569\) | −19.4507 | −0.815414 | −0.407707 | − | 0.913113i | \(-0.633672\pi\) | ||||
−0.407707 | + | 0.913113i | \(0.633672\pi\) | |||||||
\(570\) | −16.7516 | + | 2.09367i | −0.701648 | + | 0.0876943i | ||||
\(571\) | 21.2385 | 0.888803 | 0.444401 | − | 0.895828i | \(-0.353416\pi\) | ||||
0.444401 | + | 0.895828i | \(0.353416\pi\) | |||||||
\(572\) | −1.63497 | − | 18.6878i | −0.0683614 | − | 0.781374i | ||||
\(573\) | −44.2556 | − | 9.49819i | −1.84880 | − | 0.396793i | ||||
\(574\) | 6.01078 | − | 1.05986i | 0.250885 | − | 0.0442378i | ||||
\(575\) | 34.9963 | − | 15.1017i | 1.45945 | − | 0.629783i | ||||
\(576\) | 2.98478 | − | 0.301800i | 0.124366 | − | 0.0125750i | ||||
\(577\) | −19.3178 | − | 5.17619i | −0.804210 | − | 0.215487i | −0.166779 | − | 0.985994i | \(-0.553337\pi\) |
−0.637432 | + | 0.770507i | \(0.720003\pi\) | |||||||
\(578\) | −2.75608 | − | 10.2858i | −0.114638 | − | 0.427835i | ||||
\(579\) | −14.8001 | + | 19.5600i | −0.615073 | + | 0.812885i | ||||
\(580\) | −1.07704 | + | 5.63036i | −0.0447216 | + | 0.233788i | ||||
\(581\) | 15.4643 | + | 8.92834i | 0.641569 | + | 0.370410i | ||||
\(582\) | 5.69812 | + | 0.210249i | 0.236195 | + | 0.00871509i | ||||
\(583\) | −4.46066 | − | 9.56593i | −0.184742 | − | 0.396180i | ||||
\(584\) | 2.17808 | − | 12.3525i | 0.0901296 | − | 0.511150i | ||||
\(585\) | 11.7124 | + | 20.3320i | 0.484247 | + | 0.840624i | ||||
\(586\) | 22.9444 | − | 8.35106i | 0.947822 | − | 0.344979i | ||||
\(587\) | −0.743185 | − | 8.49465i | −0.0306745 | − | 0.350612i | −0.995986 | − | 0.0895102i | \(-0.971470\pi\) |
0.965311 | − | 0.261101i | \(-0.0840857\pi\) | |||||||
\(588\) | 4.82023 | − | 7.68019i | 0.198783 | − | 0.316726i | ||||
\(589\) | −10.6661 | − | 39.6222i | −0.439489 | − | 1.63260i | ||||
\(590\) | 3.44454 | − | 33.7388i | 0.141809 | − | 1.38901i | ||||
\(591\) | 2.76755 | + | 1.41703i | 0.113842 | + | 0.0582887i | ||||
\(592\) | −1.65748 | + | 3.55447i | −0.0681219 | + | 0.146088i | ||||
\(593\) | −3.29616 | − | 2.30799i | −0.135357 | − | 0.0947779i | 0.503937 | − | 0.863740i | \(-0.331884\pi\) |
−0.639294 | + | 0.768963i | \(0.720773\pi\) | |||||||
\(594\) | −13.3657 | − | 24.4529i | −0.548403 | − | 1.00332i | ||||
\(595\) | 5.12930 | + | 14.7537i | 0.210281 | + | 0.604843i | ||||
\(596\) | −11.3455 | + | 6.55033i | −0.464730 | + | 0.268312i | ||||
\(597\) | −4.07228 | + | 2.15497i | −0.166668 | + | 0.0881970i | ||||
\(598\) | −26.5630 | − | 2.32396i | −1.08624 | − | 0.0950338i | ||||
\(599\) | −3.86227 | + | 3.24083i | −0.157808 | + | 0.132417i | −0.718273 | − | 0.695762i | \(-0.755067\pi\) |
0.560465 | + | 0.828178i | \(0.310623\pi\) | |||||||
\(600\) | −4.16838 | + | 7.59109i | −0.170174 | + | 0.309905i | ||||
\(601\) | 1.91160 | + | 3.31099i | 0.0779759 | + | 0.135058i | 0.902377 | − | 0.430948i | \(-0.141821\pi\) |
−0.824401 | + | 0.566007i | \(0.808488\pi\) | |||||||
\(602\) | −0.329383 | − | 0.706363i | −0.0134246 | − | 0.0287892i | ||||
\(603\) | 17.7479 | − | 31.7219i | 0.722750 | − | 1.29182i | ||||
\(604\) | −21.1459 | + | 3.72859i | −0.860413 | + | 0.151714i | ||||
\(605\) | −34.1059 | − | 20.3549i | −1.38660 | − | 0.827545i | ||||
\(606\) | 6.45648 | − | 12.6099i | 0.262277 | − | 0.512244i | ||||
\(607\) | 2.84202 | − | 2.84202i | 0.115354 | − | 0.115354i | −0.647074 | − | 0.762428i | \(-0.724007\pi\) |
0.762428 | + | 0.647074i | \(0.224007\pi\) | |||||||
\(608\) | 0.761902 | + | 4.29180i | 0.0308992 | + | 0.174055i | ||||
\(609\) | −1.31561 | − | 5.75033i | −0.0533113 | − | 0.233015i | ||||
\(610\) | −12.3661 | + | 12.0132i | −0.500690 | + | 0.486401i | ||||
\(611\) | −3.71607 | − | 10.2098i | −0.150336 | − | 0.413045i | ||||
\(612\) | −2.52920 | + | 15.5705i | −0.102237 | + | 0.629401i | ||||
\(613\) | 5.51236 | − | 3.85979i | 0.222642 | − | 0.155896i | −0.456934 | − | 0.889500i | \(-0.651053\pi\) |
0.679576 | + | 0.733605i | \(0.262164\pi\) | |||||||
\(614\) | 19.8389 | + | 7.22076i | 0.800632 | + | 0.291406i | ||||
\(615\) | −14.2000 | + | 10.7228i | −0.572600 | + | 0.432387i | ||||
\(616\) | −3.56237 | + | 6.17021i | −0.143532 | + | 0.248605i | ||||
\(617\) | −6.14646 | − | 0.537745i | −0.247447 | − | 0.0216488i | −0.0372425 | − | 0.999306i | \(-0.511857\pi\) |
−0.210204 | + | 0.977657i | \(0.567413\pi\) | |||||||
\(618\) | −5.66787 | + | 0.785157i | −0.227995 | + | 0.0315836i | ||||
\(619\) | −13.5446 | − | 7.81999i | −0.544404 | − | 0.314312i | 0.202458 | − | 0.979291i | \(-0.435107\pi\) |
−0.746862 | + | 0.664979i | \(0.768440\pi\) | |||||||
\(620\) | −19.6736 | − | 7.48485i | −0.790112 | − | 0.300599i | ||||
\(621\) | −37.5286 | + | 12.6740i | −1.50597 | + | 0.508589i | ||||
\(622\) | −16.2838 | − | 23.2557i | −0.652921 | − | 0.932468i | ||||
\(623\) | 8.39110 | + | 5.87551i | 0.336182 | + | 0.235397i | ||||
\(624\) | 5.08753 | − | 3.28962i | 0.203664 | − | 0.131690i | ||||
\(625\) | −11.2262 | − | 22.3377i | −0.449047 | − | 0.893508i | ||||
\(626\) | − | 25.4797i | − | 1.01837i | ||||||
\(627\) | 33.9759 | − | 22.0250i | 1.35687 | − | 0.879594i | ||||
\(628\) | −0.0911788 | − | 0.0911788i | −0.00363843 | − | 0.00363843i | ||||
\(629\) | −15.7976 | − | 13.2557i | −0.629891 | − | 0.528541i | ||||
\(630\) | 0.785329 | − | 8.87707i | 0.0312883 | − | 0.353671i | ||||
\(631\) | −1.33425 | − | 7.56690i | −0.0531156 | − | 0.301234i | 0.946664 | − | 0.322222i | \(-0.104430\pi\) |
−0.999780 | + | 0.0209884i | \(0.993319\pi\) | |||||||
\(632\) | 0.469377 | − | 0.328661i | 0.0186708 | − | 0.0130734i | ||||
\(633\) | −3.54969 | + | 2.76205i | −0.141087 | + | 0.109782i | ||||
\(634\) | −9.67885 | + | 5.58808i | −0.384396 | + | 0.221931i | ||||
\(635\) | 7.03171 | − | 9.73918i | 0.279045 | − | 0.386488i | ||||
\(636\) | 2.05682 | − | 2.71831i | 0.0815584 | − | 0.107788i | ||||
\(637\) | 1.59596 | − | 18.2420i | 0.0632344 | − | 0.722773i | ||||
\(638\) | −3.55848 | − | 13.2804i | −0.140882 | − | 0.525777i | ||||
\(639\) | 13.0081 | + | 8.84900i | 0.514591 | + | 0.350061i | ||||
\(640\) | 2.01267 | + | 0.974238i | 0.0795580 | + | 0.0385101i | ||||
\(641\) | −26.2425 | − | 4.62726i | −1.03652 | − | 0.182766i | −0.370600 | − | 0.928792i | \(-0.620848\pi\) |
−0.665916 | + | 0.746027i | \(0.731959\pi\) | |||||||
\(642\) | −3.92352 | + | 9.65611i | −0.154849 | + | 0.381096i | ||||
\(643\) | −1.71344 | − | 0.798990i | −0.0675715 | − | 0.0315091i | 0.388539 | − | 0.921432i | \(-0.372980\pi\) |
−0.456110 | + | 0.889923i | \(0.650758\pi\) | |||||||
\(644\) | 7.75788 | + | 6.50964i | 0.305703 | + | 0.256516i | ||||
\(645\) | 1.79190 | + | 1.39709i | 0.0705561 | + | 0.0550105i | ||||
\(646\) | −22.8351 | − | 1.97107i | −0.898433 | − | 0.0775509i | ||||
\(647\) | 25.1858 | + | 25.1858i | 0.990157 | + | 0.990157i | 0.999952 | − | 0.00979501i | \(-0.00311790\pi\) |
−0.00979501 | + | 0.999952i | \(0.503118\pi\) | |||||||
\(648\) | 4.96121 | − | 7.50908i | 0.194895 | − | 0.294985i | ||||
\(649\) | 27.8203 | + | 76.4357i | 1.09204 | + | 3.00036i | ||||
\(650\) | −0.506249 | + | 17.4819i | −0.0198567 | + | 0.685695i | ||||
\(651\) | 21.6331 | − | 1.09091i | 0.847868 | − | 0.0427563i | ||||
\(652\) | −12.1701 | + | 5.67500i | −0.476617 | + | 0.222250i | ||||
\(653\) | −10.4769 | − | 2.80727i | −0.409992 | − | 0.109857i | 0.0479273 | − | 0.998851i | \(-0.484738\pi\) |
−0.457919 | + | 0.888994i | \(0.651405\pi\) | |||||||
\(654\) | 4.04222 | + | 1.24456i | 0.158063 | + | 0.0486663i | ||||
\(655\) | −6.91117 | + | 36.1290i | −0.270042 | + | 1.41168i | ||||
\(656\) | 2.95319 | + | 3.51947i | 0.115303 | + | 0.137412i | ||||
\(657\) | −24.5746 | − | 28.4964i | −0.958748 | − | 1.11175i | ||||
\(658\) | −1.06803 | + | 3.98596i | −0.0416363 | + | 0.155389i | ||||
\(659\) | 4.15751 | + | 1.51321i | 0.161954 | + | 0.0589463i | 0.421725 | − | 0.906724i | \(-0.361425\pi\) |
−0.259771 | + | 0.965670i | \(0.583647\pi\) | |||||||
\(660\) | 1.06626 | − | 20.7437i | 0.0415041 | − | 0.807447i | ||||
\(661\) | 1.45703 | + | 8.26320i | 0.0566717 | + | 0.321401i | 0.999944 | − | 0.0106200i | \(-0.00338051\pi\) |
−0.943272 | + | 0.332021i | \(0.892269\pi\) | |||||||
\(662\) | 23.3098 | + | 10.8695i | 0.905959 | + | 0.422456i | ||||
\(663\) | 9.78434 | + | 30.3167i | 0.379992 | + | 1.17740i | ||||
\(664\) | 13.4414i | 0.521628i | ||||||||
\(665\) | 12.9473 | + | 0.172381i | 0.502075 | + | 0.00668463i | ||||
\(666\) | 5.11597 | + | 10.5953i | 0.198240 | + | 0.410559i | ||||
\(667\) | −19.4685 | + | 1.70327i | −0.753823 | + | 0.0659510i | ||||
\(668\) | 0.916390 | − | 1.96520i | 0.0354562 | − | 0.0760360i | ||||
\(669\) | 18.2443 | + | 43.2180i | 0.705367 | + | 1.67091i | ||||
\(670\) | 23.6570 | − | 13.2055i | 0.913949 | − | 0.510174i | ||||
\(671\) | 14.1427 | − | 38.8568i | 0.545974 | − | 1.50005i | ||||
\(672\) | −2.29944 | − | 0.0848443i | −0.0887026 | − | 0.00327294i | ||||
\(673\) | 3.41229 | − | 0.914320i | 0.131534 | − | 0.0352445i | −0.192451 | − | 0.981307i | \(-0.561644\pi\) |
0.323985 | + | 0.946062i | \(0.394977\pi\) | |||||||
\(674\) | 3.71115 | − | 3.11403i | 0.142948 | − | 0.119948i | ||||
\(675\) | 9.73335 | + | 24.0886i | 0.374637 | + | 0.927172i | ||||
\(676\) | −0.382571 | + | 0.662633i | −0.0147143 | + | 0.0254859i | ||||
\(677\) | 7.01459 | − | 26.1788i | 0.269593 | − | 1.00613i | −0.689786 | − | 0.724013i | \(-0.742296\pi\) |
0.959379 | − | 0.282120i | \(-0.0910377\pi\) | |||||||
\(678\) | 4.15020 | − | 3.22932i | 0.159388 | − | 0.124021i | ||||
\(679\) | −4.30699 | − | 0.759439i | −0.165287 | − | 0.0291446i | ||||
\(680\) | −7.68728 | + | 8.89658i | −0.294794 | + | 0.341168i | ||||
\(681\) | −21.6658 | + | 14.0092i | −0.830234 | + | 0.536832i | ||||
\(682\) | 50.2934 | − | 4.40010i | 1.92583 | − | 0.168489i | ||||
\(683\) | −7.49846 | + | 7.49846i | −0.286921 | + | 0.286921i | −0.835861 | − | 0.548941i | \(-0.815031\pi\) |
0.548941 | + | 0.835861i | \(0.315031\pi\) | |||||||
\(684\) | 11.4194 | + | 6.37156i | 0.436633 | + | 0.243623i | ||||
\(685\) | −3.34444 | + | 32.7584i | −0.127784 | + | 1.25163i | ||||
\(686\) | −10.4480 | + | 12.4514i | −0.398906 | + | 0.475397i | ||||
\(687\) | −10.4306 | − | 2.23863i | −0.397953 | − | 0.0854092i | ||||
\(688\) | 0.336502 | − | 0.480575i | 0.0128290 | − | 0.0183217i | ||||
\(689\) | 1.19538 | − | 6.77936i | 0.0455405 | − | 0.258273i | ||||
\(690\) | −28.7742 | − | 6.61264i | −1.09541 | − | 0.251739i | ||||
\(691\) | −13.9113 | − | 24.0952i | −0.529212 | − | 0.916623i | −0.999420 | − | 0.0340667i | \(-0.989154\pi\) |
0.470207 | − | 0.882556i | \(-0.344179\pi\) | |||||||
\(692\) | 7.25735 | − | 1.94460i | 0.275883 | − | 0.0739227i | ||||
\(693\) | 7.58098 | + | 19.9847i | 0.287978 | + | 0.759155i | ||||
\(694\) | 14.2863 | + | 17.0257i | 0.542300 | + | 0.646288i | ||||
\(695\) | 1.38009 | + | 8.54869i | 0.0523498 | + | 0.324270i | ||||
\(696\) | 3.25343 | − | 3.02188i | 0.123321 | − | 0.114544i | ||||
\(697\) | −21.8946 | + | 10.2096i | −0.829316 | + | 0.386717i | ||||
\(698\) | 13.3638 | + | 19.0855i | 0.505828 | + | 0.722398i | ||||
\(699\) | 44.5625 | − | 18.8119i | 1.68551 | − | 0.711531i | ||||
\(700\) | 3.96584 | − | 5.32858i | 0.149895 | − | 0.201402i | ||||
\(701\) | 1.82151 | − | 2.17079i | 0.0687974 | − | 0.0819895i | −0.730548 | − | 0.682861i | \(-0.760735\pi\) |
0.799345 | + | 0.600872i | \(0.205180\pi\) | |||||||
\(702\) | 2.00688 | − | 18.0642i | 0.0757447 | − | 0.681787i | ||||
\(703\) | −14.7950 | + | 8.56483i | −0.558004 | + | 0.323029i | ||||
\(704\) | −5.36307 | −0.202128 | ||||||||
\(705\) | −2.51306 | − | 11.7650i | −0.0946473 | − | 0.443094i | ||||
\(706\) | −22.4133 | + | 8.15778i | −0.843536 | + | 0.307022i | ||||
\(707\) | −6.23243 | + | 8.90083i | −0.234395 | + | 0.334750i | ||||
\(708\) | −17.6165 | + | 19.4875i | −0.662067 | + | 0.732387i | ||||
\(709\) | 13.7840 | − | 37.8711i | 0.517668 | − | 1.42228i | −0.355416 | − | 0.934708i | \(-0.615661\pi\) |
0.873083 | − | 0.487572i | \(-0.162117\pi\) | |||||||
\(710\) | 4.80143 | + | 10.6983i | 0.180195 | + | 0.401501i | ||||
\(711\) | 0.126683 | − | 1.71434i | 0.00475099 | − | 0.0642926i | ||||
\(712\) | −0.672039 | + | 7.68144i | −0.0251857 | + | 0.287874i | ||||
\(713\) | 6.25436 | − | 71.4876i | 0.234227 | − | 2.67723i | ||||
\(714\) | 3.56028 | − | 11.5634i | 0.133240 | − | 0.432751i | ||||
\(715\) | −17.1753 | − | 38.2693i | −0.642320 | − | 1.43119i | ||||
\(716\) | 4.17797 | − | 11.4789i | 0.156138 | − | 0.428986i | ||||
\(717\) | 14.8721 | + | 13.4441i | 0.555408 | + | 0.502081i | ||||
\(718\) | −12.6872 | + | 18.1192i | −0.473482 | + | 0.676203i | ||||
\(719\) | −8.02032 | + | 2.91916i | −0.299107 | + | 0.108866i | −0.487214 | − | 0.873282i | \(-0.661987\pi\) |
0.188107 | + | 0.982149i | \(0.439765\pi\) | |||||||
\(720\) | 6.08245 | − | 2.82910i | 0.226679 | − | 0.105434i | ||||
\(721\) | 4.38877 | 0.163446 | ||||||||
\(722\) | −7.98971 | + | 17.2385i | −0.297346 | + | 0.641549i | ||||
\(723\) | −0.921703 | + | 1.46857i | −0.0342785 | + | 0.0546168i | ||||
\(724\) | −7.50276 | + | 8.94144i | −0.278838 | + | 0.332306i | ||||
\(725\) | 1.85951 | + | 12.6825i | 0.0690605 | + | 0.471018i | ||||
\(726\) | 11.9651 | + | 28.3436i | 0.444068 | + | 1.05193i | ||||
\(727\) | 16.8770 | + | 24.1028i | 0.625933 | + | 0.893925i | 0.999432 | − | 0.0337057i | \(-0.0107309\pi\) |
−0.373499 | + | 0.927631i | \(0.621842\pi\) | |||||||
\(728\) | −4.21145 | + | 1.96383i | −0.156087 | + | 0.0727844i | ||||
\(729\) | −8.03866 | − | 25.7756i | −0.297728 | − | 0.954651i | ||||
\(730\) | −4.47002 | − | 27.6887i | −0.165443 | − | 1.02480i | ||||
\(731\) | 1.98290 | + | 2.36313i | 0.0733403 | + | 0.0874035i | ||||
\(732\) | 13.2282 | − | 1.83247i | 0.488929 | − | 0.0677302i | ||||
\(733\) | 20.4915 | − | 5.49067i | 0.756869 | − | 0.202802i | 0.140306 | − | 0.990108i | \(-0.455191\pi\) |
0.616563 | + | 0.787306i | \(0.288525\pi\) | |||||||
\(734\) | 9.16176 | + | 15.8686i | 0.338167 | + | 0.585722i | ||||
\(735\) | 4.54119 | − | 19.7605i | 0.167504 | − | 0.728877i | ||||
\(736\) | −1.32374 | + | 7.50732i | −0.0487938 | + | 0.276723i | ||||
\(737\) | −37.2717 | + | 53.2295i | −1.37292 | + | 1.96073i | ||||
\(738\) | 13.7818 | − | 0.186123i | 0.507314 | − | 0.00685127i | ||||
\(739\) | 20.8102 | − | 24.8006i | 0.765515 | − | 0.912306i | −0.232668 | − | 0.972556i | \(-0.574746\pi\) |
0.998183 | + | 0.0602505i | \(0.0191900\pi\) | |||||||
\(740\) | −0.890704 | + | 8.72434i | −0.0327429 | + | 0.320713i | ||||
\(741\) | 26.3912 | + | 0.943074i | 0.969506 | + | 0.0346447i | ||||
\(742\) | −1.84875 | + | 1.84875i | −0.0678698 | + | 0.0678698i | ||||
\(743\) | 35.2898 | − | 3.08746i | 1.29466 | − | 0.113268i | 0.581081 | − | 0.813846i | \(-0.302630\pi\) |
0.713576 | + | 0.700578i | \(0.247074\pi\) | |||||||
\(744\) | 8.85318 | + | 13.6918i | 0.324573 | + | 0.501966i | ||||
\(745\) | −19.1526 | + | 22.1656i | −0.701698 | + | 0.812083i | ||||
\(746\) | 11.8293 | + | 2.08582i | 0.433101 | + | 0.0763674i | ||||
\(747\) | 31.2373 | + | 25.5004i | 1.14291 | + | 0.933011i | ||||
\(748\) | 7.29873 | − | 27.2392i | 0.266868 | − | 0.995964i | ||||
\(749\) | 3.99714 | − | 6.92325i | 0.146052 | − | 0.252970i | ||||
\(750\) | −3.22988 | + | 19.0937i | −0.117938 | + | 0.697202i | ||||
\(751\) | 26.9627 | − | 22.6244i | 0.983884 | − | 0.825576i | −0.000787037 | − | 1.00000i | \(-0.500251\pi\) |
0.984671 | + | 0.174423i | \(0.0558061\pi\) | |||||||
\(752\) | −3.00038 | + | 0.803950i | −0.109413 | + | 0.0293171i | ||||
\(753\) | −1.32721 | + | 35.9698i | −0.0483661 | + | 1.31081i | ||||
\(754\) | 3.06694 | − | 8.42636i | 0.111692 | − | 0.306870i | ||||
\(755\) | −41.9236 | + | 23.4021i | −1.52576 | + | 0.851691i | ||||
\(756\) | −4.55956 | + | 5.18284i | −0.165829 | + | 0.188498i | ||||
\(757\) | −4.60745 | + | 9.88071i | −0.167461 | + | 0.359120i | −0.972073 | − | 0.234681i | \(-0.924596\pi\) |
0.804612 | + | 0.593801i | \(0.202373\pi\) | |||||||
\(758\) | −9.22896 | + | 0.807429i | −0.335211 | + | 0.0293272i | ||||
\(759\) | 69.0285 | − | 15.7930i | 2.50558 | − | 0.573249i | ||||
\(760\) | 4.76059 | + | 8.50510i | 0.172685 | + | 0.308512i | ||||
\(761\) | − | 44.9557i | − | 1.62964i | −0.579713 | − | 0.814821i | \(-0.696835\pi\) | ||
0.579713 | − | 0.814821i | \(-0.303165\pi\) | |||||||
\(762\) | −8.85498 | + | 2.85784i | −0.320782 | + | 0.103529i | ||||
\(763\) | −2.94007 | − | 1.37098i | −0.106438 | − | 0.0496327i | ||||
\(764\) | 4.53792 | + | 25.7358i | 0.164176 | + | 0.931089i | ||||
\(765\) | 6.09137 | + | 34.7431i | 0.220234 | + | 1.25614i | ||||
\(766\) | −8.11308 | − | 2.95292i | −0.293138 | − | 0.106693i | ||||
\(767\) | −13.7307 | + | 51.2436i | −0.495787 | + | 1.85030i | ||||
\(768\) | −0.810127 | − | 1.53091i | −0.0292330 | − | 0.0552421i | ||||
\(769\) | 3.37191 | + | 4.01849i | 0.121594 | + | 0.144910i | 0.823407 | − | 0.567451i | \(-0.192070\pi\) |
−0.701813 | + | 0.712361i | \(0.747626\pi\) | |||||||
\(770\) | −2.99327 | + | 15.6477i | −0.107870 | + | 0.563904i | ||||
\(771\) | −2.29056 | + | 7.43950i | −0.0824924 | + | 0.267927i | ||||
\(772\) | 13.6789 | + | 3.66524i | 0.492314 | + | 0.131915i | ||||
\(773\) | −19.3703 | + | 9.03251i | −0.696700 | + | 0.324877i | −0.738504 | − | 0.674249i | \(-0.764467\pi\) |
0.0418036 | + | 0.999126i | \(0.486690\pi\) | |||||||
\(774\) | −0.478442 | − | 1.69374i | −0.0171972 | − | 0.0608803i | ||||
\(775\) | −47.0480 | − | 1.36244i | −1.69001 | − | 0.0489403i | ||||
\(776\) | −1.12595 | − | 3.09352i | −0.0404192 | − | 0.111051i | ||||
\(777\) | −2.77172 | − | 8.58816i | −0.0994351 | − | 0.308098i | ||||
\(778\) | −3.15999 | − | 3.15999i | −0.113291 | − | 0.113291i | ||||
\(779\) | 1.76859 | + | 19.9480i | 0.0633662 | + | 0.714713i | ||||
\(780\) | 8.32969 | − | 10.6836i | 0.298251 | − | 0.382534i | ||||
\(781\) | −21.5450 | − | 18.0784i | −0.770941 | − | 0.646896i | ||||
\(782\) | −36.3284 | − | 16.9402i | −1.29910 | − | 0.605781i | ||||
\(783\) | −0.850492 | − | 13.2938i | −0.0303941 | − | 0.475082i | ||||
\(784\) | −5.15560 | − | 0.909071i | −0.184129 | − | 0.0324668i | ||||
\(785\) | −0.259527 | − | 0.125624i | −0.00926291 | − | 0.00448372i | ||||
\(786\) | 20.8767 | − | 19.3909i | 0.744645 | − | 0.691649i | ||||
\(787\) | −10.1149 | − | 37.7492i | −0.360556 | − | 1.34561i | −0.873346 | − | 0.487100i | \(-0.838055\pi\) |
0.512790 | − | 0.858514i | \(-0.328612\pi\) | |||||||
\(788\) | 0.156454 | − | 1.78828i | 0.00557346 | − | 0.0637049i | ||||
\(789\) | 5.80353 | + | 4.39126i | 0.206611 | + | 0.156333i | ||||
\(790\) | 0.750024 | − | 1.03881i | 0.0266847 | − | 0.0369592i | ||||
\(791\) | −3.49297 | + | 2.01667i | −0.124196 | + | 0.0717044i | ||||
\(792\) | −10.1746 | + | 12.4636i | −0.361538 | + | 0.442874i | ||||
\(793\) | 22.0918 | − | 15.4689i | 0.784504 | − | 0.549316i | ||||
\(794\) | −0.162955 | − | 0.924166i | −0.00578307 | − | 0.0327974i | ||||
\(795\) | 2.34813 | − | 7.25155i | 0.0832796 | − | 0.257186i | ||||
\(796\) | 2.03771 | + | 1.70984i | 0.0722246 | + | 0.0606036i | ||||
\(797\) | −13.5281 | − | 13.5281i | −0.479189 | − | 0.479189i | 0.425683 | − | 0.904872i | \(-0.360034\pi\) |
−0.904872 | + | 0.425683i | \(0.860034\pi\) | |||||||
\(798\) | −8.00527 | − | 6.04261i | −0.283383 | − | 0.213906i | ||||
\(799\) | − | 16.3332i | − | 0.577826i | ||||||
\(800\) | 4.96627 | + | 0.579777i | 0.175584 | + | 0.0204982i | ||||
\(801\) | 16.5764 | + | 16.1347i | 0.585699 | + | 0.570090i | ||||
\(802\) | 5.19875 | + | 3.64021i | 0.183574 | + | 0.128540i | ||||
\(803\) | 38.5841 | + | 55.1038i | 1.36160 | + | 1.94457i | ||||
\(804\) | −20.8247 | − | 2.59871i | −0.734432 | − | 0.0916493i | ||||
\(805\) | 21.1651 | + | 8.05228i | 0.745972 | + | 0.283806i | ||||
\(806\) | 28.5157 | + | 16.4635i | 1.00442 | + | 0.579903i | ||||
\(807\) | −1.99167 | − | 14.3774i | −0.0701102 | − | 0.506109i | ||||
\(808\) | −8.14806 | − | 0.712863i | −0.286648 | − | 0.0250784i | ||||
\(809\) | 11.9583 | − | 20.7123i | 0.420430 | − | 0.728206i | −0.575552 | − | 0.817766i | \(-0.695213\pi\) |
0.995981 | + | 0.0895595i | \(0.0285459\pi\) | |||||||
\(810\) | 4.96460 | − | 19.5026i | 0.174438 | − | 0.685253i | ||||
\(811\) | 24.5664 | + | 8.94144i | 0.862644 | + | 0.313977i | 0.735184 | − | 0.677867i | \(-0.237096\pi\) |
0.127459 | + | 0.991844i | \(0.459318\pi\) | |||||||
\(812\) | −2.78981 | + | 1.95345i | −0.0979033 | + | 0.0685526i | ||||
\(813\) | 0.170995 | + | 0.0694797i | 0.00599707 | + | 0.00243676i | ||||
\(814\) | −7.19390 | − | 19.7651i | −0.252146 | − | 0.692766i | ||||
\(815\) | −21.5369 | + | 20.9223i | −0.754406 | + | 0.732876i | ||||
\(816\) | 8.87808 | − | 2.03121i | 0.310795 | − | 0.0711066i | ||||
\(817\) | 2.40201 | − | 0.877423i | 0.0840357 | − | 0.0306971i | ||||
\(818\) | 10.0305 | − | 10.0305i | 0.350709 | − | 0.350709i | ||||
\(819\) | −3.42589 | + | 13.5129i | −0.119710 | + | 0.472180i | ||||
\(820\) | 8.82163 | + | 5.26488i | 0.308065 | + | 0.183857i | ||||
\(821\) | 38.0768 | − | 6.71397i | 1.32889 | − | 0.234319i | 0.536275 | − | 0.844043i | \(-0.319831\pi\) |
0.792614 | + | 0.609724i | \(0.208720\pi\) | |||||||
\(822\) | 17.1045 | − | 18.9212i | 0.596589 | − | 0.659954i | ||||
\(823\) | 14.4056 | + | 30.8929i | 0.502148 | + | 1.07686i | 0.980105 | + | 0.198477i | \(0.0635996\pi\) |
−0.477957 | + | 0.878383i | \(0.658623\pi\) | |||||||
\(824\) | 1.65180 | + | 2.86099i | 0.0575430 | + | 0.0996675i | ||||
\(825\) | −12.9798 | − | 44.5950i | −0.451898 | − | 1.55260i | ||||
\(826\) | 15.4350 | − | 12.9515i | 0.537052 | − | 0.450641i | ||||
\(827\) | 6.46161 | + | 0.565317i | 0.224692 | + | 0.0196580i | 0.198946 | − | 0.980011i | \(-0.436248\pi\) |
0.0257463 | + | 0.999669i | \(0.491804\pi\) | |||||||
\(828\) | 14.9354 | + | 17.3189i | 0.519041 | + | 0.601872i | ||||
\(829\) | −43.8683 | + | 25.3274i | −1.52361 | + | 0.879655i | −0.523998 | + | 0.851719i | \(0.675560\pi\) |
−0.999610 | + | 0.0279360i | \(0.991107\pi\) | |||||||
\(830\) | 9.86983 | + | 28.3891i | 0.342587 | + | 0.985401i | ||||
\(831\) | −33.7972 | + | 1.70432i | −1.17241 | + | 0.0591223i | ||||
\(832\) | −2.86526 | − | 2.00628i | −0.0993350 | − | 0.0695551i | ||||
\(833\) | 11.6336 | − | 24.9483i | 0.403080 | − | 0.864407i | ||||
\(834\) | 3.05695 | − | 5.97042i | 0.105853 | − | 0.206739i | ||||
\(835\) | 0.492455 | − | 4.82353i | 0.0170421 | − | 0.166925i | ||||
\(836\) | −19.1650 | − | 13.3863i | −0.662834 | − | 0.462974i | ||||
\(837\) | 48.6151 | + | 5.40101i | 1.68039 | + | 0.186686i | ||||
\(838\) | −2.66279 | − | 30.4359i | −0.0919847 | − | 1.05139i | ||||
\(839\) | 34.4572 | − | 12.5414i | 1.18960 | − | 0.432977i | 0.330014 | − | 0.943976i | \(-0.392947\pi\) |
0.859581 | + | 0.510999i | \(0.170724\pi\) | |||||||
\(840\) | −4.91886 | + | 1.50925i | −0.169717 | + | 0.0520739i | ||||
\(841\) | −3.89455 | + | 22.0871i | −0.134295 | + | 0.761624i | ||||
\(842\) | 1.24465 | + | 2.66917i | 0.0428936 | + | 0.0919856i | ||||
\(843\) | 0.0417122 | − | 1.13048i | 0.00143664 | − | 0.0389357i | ||||
\(844\) | 2.24884 | + | 1.29837i | 0.0774084 | + | 0.0446918i | ||||
\(845\) | −0.321454 | + | 1.68044i | −0.0110584 | + | 0.0578089i | ||||
\(846\) | −3.82384 | + | 8.49800i | −0.131466 | + | 0.292167i | ||||
\(847\) | −6.10741 | − | 22.7932i | −0.209853 | − | 0.783182i | ||||
\(848\) | −1.90100 | − | 0.509371i | −0.0652805 | − | 0.0174919i | ||||
\(849\) | −11.1852 | − | 1.39580i | −0.383876 | − | 0.0479036i | ||||
\(850\) | −9.70342 | + | 24.4348i | −0.332825 | + | 0.838108i | ||||
\(851\) | −29.4431 | + | 5.19162i | −1.00930 | + | 0.177966i | ||||
\(852\) | 1.90605 | − | 8.88098i | 0.0653001 | − | 0.304257i | ||||
\(853\) | −0.582006 | − | 6.65236i | −0.0199275 | − | 0.227772i | −0.999627 | − | 0.0273019i | \(-0.991308\pi\) |
0.979700 | − | 0.200471i | \(-0.0642471\pi\) | |||||||
\(854\) | −10.2429 | −0.350506 | ||||||||
\(855\) | 28.7971 | + | 5.07204i | 0.984841 | + | 0.173460i | ||||
\(856\) | 6.01760 | 0.205677 | ||||||||
\(857\) | −4.27292 | − | 48.8397i | −0.145960 | − | 1.66833i | −0.617562 | − | 0.786522i | \(-0.711880\pi\) |
0.471602 | − | 0.881811i | \(-0.343676\pi\) | |||||||
\(858\) | −6.81816 | + | 31.7684i | −0.232768 | + | 1.08455i | ||||
\(859\) | 15.0770 | − | 2.65848i | 0.514419 | − | 0.0907060i | 0.0895887 | − | 0.995979i | \(-0.471445\pi\) |
0.424831 | + | 0.905273i | \(0.360334\pi\) | |||||||
\(860\) | 0.357835 | − | 1.26209i | 0.0122021 | − | 0.0430371i | ||||
\(861\) | −10.4902 | − | 1.30907i | −0.357506 | − | 0.0446129i | ||||
\(862\) | −14.9292 | − | 4.00026i | −0.508490 | − | 0.136250i | ||||
\(863\) | −9.33986 | − | 34.8568i | −0.317933 | − | 1.18654i | −0.921228 | − | 0.389023i | \(-0.872813\pi\) |
0.603295 | − | 0.797518i | \(-0.293854\pi\) | |||||||
\(864\) | −5.09472 | − | 1.02167i | −0.173326 | − | 0.0347579i | ||||
\(865\) | 13.9001 | − | 9.43610i | 0.472618 | − | 0.320837i | ||||
\(866\) | 11.4758 | + | 6.62555i | 0.389963 | + | 0.225145i | ||||
\(867\) | −0.680085 | + | 18.4315i | −0.0230969 | + | 0.625968i | ||||
\(868\) | −5.28515 | − | 11.3341i | −0.179390 | − | 0.384703i | ||||
\(869\) | −0.533631 | + | 3.02637i | −0.0181022 | + | 0.102663i | ||||
\(870\) | 4.65253 | − | 8.77136i | 0.157735 | − | 0.297377i | ||||
\(871\) | −39.8254 | + | 14.4952i | −1.34943 | + | 0.491153i | ||||
\(872\) | −0.212825 | − | 2.43260i | −0.00720716 | − | 0.0823782i | ||||
\(873\) | −9.32531 | − | 3.25221i | −0.315614 | − | 0.110071i | ||||
\(874\) | −23.4687 | + | 23.5233i | −0.793842 | + | 0.795689i | ||||
\(875\) | 4.46341 | − | 14.1664i | 0.150891 | − | 0.478911i | ||||
\(876\) | −9.90125 | + | 19.3378i | −0.334532 | + | 0.653364i | ||||
\(877\) | 2.94840 | − | 6.32286i | 0.0995604 | − | 0.213508i | −0.850218 | − | 0.526430i | \(-0.823530\pi\) |
0.949779 | + | 0.312922i | \(0.101308\pi\) | |||||||
\(878\) | −22.3178 | − | 15.6271i | −0.753191 | − | 0.527390i | ||||
\(879\) | −42.2376 | + | 2.12996i | −1.42464 | + | 0.0718417i | ||||
\(880\) | −11.3272 | + | 3.93803i | −0.381839 | + | 0.132751i | ||||
\(881\) | 25.1146 | − | 14.4999i | 0.846133 | − | 0.488515i | −0.0132110 | − | 0.999913i | \(-0.504205\pi\) |
0.859344 | + | 0.511397i | \(0.170872\pi\) | |||||||
\(882\) | −11.8936 | + | 10.2568i | −0.400479 | + | 0.345364i | ||||
\(883\) | 5.03079 | + | 0.440137i | 0.169300 | + | 0.0148118i | 0.171490 | − | 0.985186i | \(-0.445142\pi\) |
−0.00219075 | + | 0.999998i | \(0.500697\pi\) | |||||||
\(884\) | 14.0893 | − | 11.8224i | 0.473876 | − | 0.397629i | ||||
\(885\) | −22.8977 | + | 54.0945i | −0.769698 | + | 1.81837i | ||||
\(886\) | 10.5948 | + | 18.3507i | 0.355938 | + | 0.616503i | ||||
\(887\) | −1.39388 | − | 2.98920i | −0.0468021 | − | 0.100367i | 0.881516 | − | 0.472154i | \(-0.156523\pi\) |
−0.928318 | + | 0.371786i | \(0.878745\pi\) | |||||||
\(888\) | 4.55535 | − | 5.03918i | 0.152867 | − | 0.169104i | ||||
\(889\) | 7.02830 | − | 1.23928i | 0.235722 | − | 0.0415641i | ||||
\(890\) | 4.22098 | + | 16.7172i | 0.141488 | + | 0.560361i | ||||
\(891\) | 9.66220 | + | 47.2907i | 0.323696 | + | 1.58430i | ||||
\(892\) | 19.1514 | − | 19.1514i | 0.641236 | − | 0.641236i | ||||
\(893\) | −12.7286 | − | 4.61607i | −0.425945 | − | 0.154471i | ||||
\(894\) | 22.1195 | − | 5.06070i | 0.739786 | − | 0.169255i | ||||
\(895\) | 0.395374 | − | 27.3120i | 0.0132159 | − | 0.912939i | ||||
\(896\) | 0.454368 | + | 1.24837i | 0.0151794 | + | 0.0417050i | ||||
\(897\) | 42.7870 | + | 17.3854i | 1.42862 | + | 0.580482i | ||||
\(898\) | 16.6885 | − | 11.6854i | 0.556901 | − | 0.389946i | ||||
\(899\) | 22.6774 | + | 8.25391i | 0.756335 | + | 0.275283i | ||||
\(900\) | 10.7692 | − | 10.4415i | 0.358972 | − | 0.348050i | ||||
\(901\) | 5.17422 | − | 8.96202i | 0.172378 | − | 0.298568i | ||||
\(902\) | −24.5460 | − | 2.14750i | −0.817294 | − | 0.0715039i | ||||
\(903\) | 0.185235 | + | 1.33717i | 0.00616423 | + | 0.0444981i | ||||
\(904\) | −2.62929 | − | 1.51802i | −0.0874489 | − | 0.0504886i | ||||
\(905\) | −9.28075 | + | 24.3941i | −0.308503 | + | 0.810886i | ||||
\(906\) | 36.9045 | + | 4.60529i | 1.22607 | + | 0.153000i | ||||
\(907\) | −16.7917 | − | 23.9810i | −0.557558 | − | 0.796275i | 0.437110 | − | 0.899408i | \(-0.356002\pi\) |
−0.994668 | + | 0.103133i | \(0.967113\pi\) | |||||||
\(908\) | 12.2020 | + | 8.54393i | 0.404937 | + | 0.283540i | ||||
\(909\) | −17.1148 | + | 17.5834i | −0.567661 | + | 0.583204i | ||||
\(910\) | −7.45284 | + | 7.24014i | −0.247059 | + | 0.240008i | ||||
\(911\) | 46.8456i | 1.55206i | 0.630694 | + | 0.776031i | \(0.282770\pi\) | ||||
−0.630694 | + | 0.776031i | \(0.717230\pi\) | |||||||
\(912\) | 0.926182 | − | 7.49281i | 0.0306690 | − | 0.248112i | ||||
\(913\) | −50.9734 | − | 50.9734i | −1.68697 | − | 1.68697i | ||||
\(914\) | 20.2580 | + | 16.9985i | 0.670076 | + | 0.562261i | ||||
\(915\) | 26.5933 | − | 13.5836i | 0.879147 | − | 0.449060i | ||||
\(916\) | 1.06954 | + | 6.06569i | 0.0353387 | + | 0.200416i | ||||
\(917\) | −17.9017 | + | 12.5349i | −0.591167 | + | 0.413940i | ||||
\(918\) | 12.1226 | − | 24.4858i | 0.400106 | − | 0.808153i | ||||
\(919\) | −27.5839 | + | 15.9256i | −0.909908 | + | 0.525336i | −0.880402 | − | 0.474229i | \(-0.842727\pi\) |
−0.0295065 | + | 0.999565i | \(0.509394\pi\) | |||||||
\(920\) | 2.71668 | + | 16.8280i | 0.0895664 | + | 0.554801i | ||||
\(921\) | −29.1604 | − | 22.0643i | −0.960867 | − | 0.727044i | ||||
\(922\) | −0.176268 | + | 2.01476i | −0.00580509 | + | 0.0663525i | ||||
\(923\) | −4.74761 | − | 17.7183i | −0.156269 | − | 0.583205i | ||||
\(924\) | 9.04182 | − | 8.39831i | 0.297454 | − | 0.276284i | ||||
\(925\) | 4.52493 | + | 19.0804i | 0.148779 | + | 0.627360i | ||||
\(926\) | −6.36837 | − | 1.12292i | −0.209278 | − | 0.0369013i | ||||
\(927\) | 9.78256 | + | 1.58903i | 0.321301 | + | 0.0521907i | ||||
\(928\) | −2.32343 | − | 1.08344i | −0.0762705 | − | 0.0355655i | ||||
\(929\) | 11.4861 | + | 9.63802i | 0.376848 | + | 0.316213i | 0.811464 | − | 0.584403i | \(-0.198671\pi\) |
−0.434615 | + | 0.900616i | \(0.643116\pi\) | |||||||
\(930\) | 28.7522 | + | 22.4173i | 0.942822 | + | 0.735091i | ||||
\(931\) | −16.1545 | − | 16.1170i | −0.529442 | − | 0.528213i | ||||
\(932\) | −19.7472 | − | 19.7472i | −0.646840 | − | 0.646840i | ||||
\(933\) | 15.1029 | + | 46.7960i | 0.494446 | + | 1.53203i | ||||
\(934\) | 6.25277 | + | 17.1793i | 0.204597 | + | 0.562125i | ||||
\(935\) | −4.58597 | − | 62.8904i | −0.149977 | − | 2.05674i | ||||
\(936\) | −10.0984 | + | 2.85255i | −0.330075 | + | 0.0932384i | ||||
\(937\) | −35.6861 | + | 16.6407i | −1.16581 | + | 0.543628i | −0.906517 | − | 0.422170i | \(-0.861269\pi\) |
−0.259297 | + | 0.965798i | \(0.583491\pi\) | |||||||
\(938\) | 15.5480 | + | 4.16607i | 0.507660 | + | 0.136027i | ||||
\(939\) | −12.9863 | + | 42.1782i | −0.423791 | + | 1.37643i | ||||
\(940\) | −5.74668 | + | 3.90114i | −0.187436 | + | 0.127241i | ||||
\(941\) | 14.5461 | + | 17.3354i | 0.474190 | + | 0.565118i | 0.949124 | − | 0.314904i | \(-0.101972\pi\) |
−0.474933 | + | 0.880022i | \(0.657528\pi\) | |||||||
\(942\) | 0.104463 | + | 0.197405i | 0.00340358 | + | 0.00643182i | ||||
\(943\) | −9.06469 | + | 33.8299i | −0.295187 | + | 1.10165i | ||||
\(944\) | 14.2522 | + | 5.18738i | 0.463870 | + | 0.168835i | ||||
\(945\) | −5.82440 | + | 14.2945i | −0.189468 | + | 0.465001i | ||||
\(946\) | 0.546361 | + | 3.09857i | 0.0177637 | + | 0.100743i | ||||
\(947\) | 16.2380 | + | 7.57192i | 0.527665 | + | 0.246054i | 0.668147 | − | 0.744029i | \(-0.267088\pi\) |
−0.140482 | + | 0.990083i | \(0.544865\pi\) | |||||||
\(948\) | −0.944500 | + | 0.304826i | −0.0306759 | + | 0.00990029i | ||||
\(949\) | 43.8736i | 1.42420i | ||||||||
\(950\) | 16.2999 | + | 14.4677i | 0.528837 | + | 0.469394i | ||||
\(951\) | 18.8701 | − | 4.31728i | 0.611905 | − | 0.139997i | ||||
\(952\) | −6.95885 | + | 0.608821i | −0.225538 | + | 0.0197320i | ||||
\(953\) | −15.3526 | + | 32.9237i | −0.497318 | + | 1.06650i | 0.484169 | + | 0.874974i | \(0.339122\pi\) |
−0.981487 | + | 0.191527i | \(0.938656\pi\) | |||||||
\(954\) | −4.79024 | + | 3.45149i | −0.155090 | + | 0.111746i | ||||
\(955\) | 28.4818 | + | 51.0236i | 0.921650 | + | 1.65109i | ||||
\(956\) | 3.95879 | − | 10.8767i | 0.128037 | − | 0.351777i | ||||
\(957\) | −0.878082 | + | 23.7976i | −0.0283844 | + | 0.769268i | ||||
\(958\) | 15.5208 | − | 4.15878i | 0.501453 | − | 0.134364i | ||||
\(959\) | −14.9865 | + | 12.5751i | −0.483938 | + | 0.406072i | ||||
\(960\) | −2.83517 | − | 2.63852i | −0.0915047 | − | 0.0851580i | ||||
\(961\) | −28.8075 | + | 49.8960i | −0.929273 | + | 1.60955i | ||||
\(962\) | 3.55054 | − | 13.2508i | 0.114474 | − | 0.427223i | ||||
\(963\) | 11.4163 | − | 13.9847i | 0.367885 | − | 0.450650i | ||||
\(964\) | 0.985831 | + | 0.173829i | 0.0317515 | + | 0.00559864i | ||||
\(965\) | 31.5820 | − | 2.30296i | 1.01666 | − | 0.0741351i | ||||
\(966\) | −9.52435 | − | 14.7298i | −0.306441 | − | 0.473924i | ||||
\(967\) | −26.2538 | + | 2.29691i | −0.844265 | + | 0.0738636i | −0.501077 | − | 0.865403i | \(-0.667063\pi\) |
−0.343189 | + | 0.939267i | \(0.611507\pi\) | |||||||
\(968\) | 12.5600 | − | 12.5600i | 0.403694 | − | 0.403694i | ||||
\(969\) | 36.7958 | + | 14.9012i | 1.18205 | + | 0.478697i | ||||
\(970\) | −4.64960 | − | 5.70694i | −0.149290 | − | 0.183239i | ||||
\(971\) | −13.4540 | + | 16.0338i | −0.431758 | + | 0.514549i | −0.937429 | − | 0.348177i | \(-0.886801\pi\) |
0.505671 | + | 0.862727i | \(0.331245\pi\) | |||||||
\(972\) | −12.0398 | + | 9.90168i | −0.386177 | + | 0.317597i | ||||
\(973\) | −2.95086 | + | 4.21427i | −0.0946002 | + | 0.135103i | ||||
\(974\) | −1.15707 | + | 6.56208i | −0.0370749 | + | 0.210262i | ||||
\(975\) | 9.74804 | − | 28.6808i | 0.312187 | − | 0.918522i | ||||
\(976\) | −3.85512 | − | 6.67726i | −0.123399 | − | 0.213734i | ||||
\(977\) | 23.4908 | − | 6.29434i | 0.751538 | − | 0.201374i | 0.137338 | − | 0.990524i | \(-0.456145\pi\) |
0.614200 | + | 0.789150i | \(0.289479\pi\) | |||||||
\(978\) | 23.0383 | − | 3.19145i | 0.736684 | − | 0.102051i | ||||
\(979\) | −26.5815 | − | 31.6786i | −0.849548 | − | 1.01245i | ||||
\(980\) | −11.5565 | + | 1.86566i | −0.369158 | + | 0.0595964i | ||||
\(981\) | −6.05703 | − | 4.12042i | −0.193386 | − | 0.131555i | ||||
\(982\) | −36.8682 | + | 17.1919i | −1.17651 | + | 0.548616i | ||||
\(983\) | 16.7592 | + | 23.9347i | 0.534536 | + | 0.763397i | 0.992055 | − | 0.125803i | \(-0.0401507\pi\) |
−0.457519 | + | 0.889200i | \(0.651262\pi\) | |||||||
\(984\) | −3.09483 | − | 7.33117i | −0.0986595 | − | 0.233709i | ||||
\(985\) | −0.982668 | − | 3.89185i | −0.0313104 | − | 0.124005i | ||||
\(986\) | 8.66482 | − | 10.3263i | 0.275944 | − | 0.328857i | ||||
\(987\) | 3.79952 | − | 6.05387i | 0.120940 | − | 0.192697i | ||||
\(988\) | −5.23133 | − | 14.3212i | −0.166431 | − | 0.455617i | ||||
\(989\) | 4.47229 | 0.142210 | ||||||||
\(990\) | −12.3375 | + | 33.7950i | −0.392113 | + | 1.07407i | ||||
\(991\) | 47.4218 | − | 17.2601i | 1.50640 | − | 0.548286i | 0.548694 | − | 0.836023i | \(-0.315125\pi\) |
0.957709 | + | 0.287738i | \(0.0929031\pi\) | |||||||
\(992\) | 5.39939 | − | 7.71113i | 0.171431 | − | 0.244829i | ||||
\(993\) | −33.0463 | − | 29.8734i | −1.04869 | − | 0.948002i | ||||
\(994\) | −2.38280 | + | 6.54668i | −0.0755777 | + | 0.207648i | ||||
\(995\) | 5.55928 | + | 2.11503i | 0.176241 | + | 0.0670511i | ||||
\(996\) | 6.85071 | − | 22.2504i | 0.217073 | − | 0.705032i | ||||
\(997\) | −0.398737 | + | 4.55759i | −0.0126281 | + | 0.144340i | −0.999891 | − | 0.0147566i | \(-0.995303\pi\) |
0.987263 | + | 0.159097i | \(0.0508582\pi\) | |||||||
\(998\) | −2.54168 | + | 29.0516i | −0.0804556 | + | 0.919611i | ||||
\(999\) | −3.06868 | − | 20.1466i | −0.0970887 | − | 0.637409i |
(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 | 570.2.bi.a.263.31 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.263.7 | ✓ | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.377.2 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.377.37 | yes | 480 | |
19.6 | even | 9 | inner | 570.2.bi.a.443.37 | yes | 480 | |
57.44 | odd | 18 | inner | 570.2.bi.a.443.2 | yes | 480 | |
95.82 | odd | 36 | inner | 570.2.bi.a.557.7 | yes | 480 | |
285.272 | even | 36 | inner | 570.2.bi.a.557.31 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.263.7 | ✓ | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.263.31 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.377.2 | yes | 480 | 5.2 | odd | 4 | inner | |
570.2.bi.a.377.37 | yes | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.443.2 | yes | 480 | 57.44 | odd | 18 | inner | |
570.2.bi.a.443.37 | yes | 480 | 19.6 | even | 9 | inner | |
570.2.bi.a.557.7 | yes | 480 | 95.82 | odd | 36 | inner | |
570.2.bi.a.557.31 | yes | 480 | 285.272 | even | 36 | inner |