Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(83,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.v (of order \(12\), degree \(4\), 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: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 353.2 | ||
Root | \(-0.258819 - 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.353 |
Dual form | 570.2.v.a.197.2 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 1.57313 | − | 0.724745i | 0.908248 | − | 0.418432i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −0.448288 | + | 2.19067i | −0.200480 | + | 0.979698i | ||||
\(6\) | 1.33195 | − | 1.10721i | 0.543767 | − | 0.452015i | ||||
\(7\) | 2.12132 | − | 2.12132i | 0.801784 | − | 0.801784i | −0.181591 | − | 0.983374i | \(-0.558125\pi\) |
0.983374 | + | 0.181591i | \(0.0581245\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 1.94949 | − | 2.28024i | 0.649830 | − | 0.760080i | ||||
\(10\) | 0.133975 | + | 2.23205i | 0.0423665 | + | 0.705836i | ||||
\(11\) | − | 0.171573i | − | 0.0517312i | −0.999665 | − | 0.0258656i | \(-0.991766\pi\) | ||
0.999665 | − | 0.0258656i | \(-0.00823419\pi\) | |||||||
\(12\) | 1.00000 | − | 1.41421i | 0.288675 | − | 0.408248i | ||||
\(13\) | −0.732051 | + | 2.73205i | −0.203034 | + | 0.757735i | 0.787005 | + | 0.616946i | \(0.211630\pi\) |
−0.990040 | + | 0.140788i | \(0.955036\pi\) | |||||||
\(14\) | 1.50000 | − | 2.59808i | 0.400892 | − | 0.694365i | ||||
\(15\) | 0.882461 | + | 3.77111i | 0.227851 | + | 0.973696i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −2.16622 | + | 0.580438i | −0.525387 | + | 0.140777i | −0.511757 | − | 0.859130i | \(-0.671005\pi\) |
−0.0136295 | + | 0.999907i | \(0.504339\pi\) | |||||||
\(18\) | 1.29289 | − | 2.70711i | 0.304738 | − | 0.638071i | ||||
\(19\) | −4.33013 | − | 0.500000i | −0.993399 | − | 0.114708i | ||||
\(20\) | 0.707107 | + | 2.12132i | 0.158114 | + | 0.474342i | ||||
\(21\) | 1.79970 | − | 4.87453i | 0.392727 | − | 1.06371i | ||||
\(22\) | −0.0444063 | − | 0.165727i | −0.00946746 | − | 0.0353330i | ||||
\(23\) | 2.89778 | + | 0.776457i | 0.604228 | + | 0.161903i | 0.547948 | − | 0.836512i | \(-0.315409\pi\) |
0.0562805 | + | 0.998415i | \(0.482076\pi\) | |||||||
\(24\) | 0.599900 | − | 1.62484i | 0.122454 | − | 0.331670i | ||||
\(25\) | −4.59808 | − | 1.96410i | −0.919615 | − | 0.392820i | ||||
\(26\) | 2.82843i | 0.554700i | ||||||||
\(27\) | 1.41421 | − | 5.00000i | 0.272166 | − | 0.962250i | ||||
\(28\) | 0.776457 | − | 2.89778i | 0.146737 | − | 0.547628i | ||||
\(29\) | 1.58579 | + | 2.74666i | 0.294473 | + | 0.510042i | 0.974862 | − | 0.222809i | \(-0.0715225\pi\) |
−0.680389 | + | 0.732851i | \(0.738189\pi\) | |||||||
\(30\) | 1.82843 | + | 3.41421i | 0.333824 | + | 0.623347i | ||||
\(31\) | 6.24264 | 1.12121 | 0.560606 | − | 0.828083i | \(-0.310568\pi\) | ||||
0.560606 | + | 0.828083i | \(0.310568\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −0.124347 | − | 0.269907i | −0.0216460 | − | 0.0469847i | ||||
\(34\) | −1.94218 | + | 1.12132i | −0.333082 | + | 0.192305i | ||||
\(35\) | 3.69615 | + | 5.59808i | 0.624764 | + | 0.946248i | ||||
\(36\) | 0.548188 | − | 2.94949i | 0.0913647 | − | 0.491582i | ||||
\(37\) | −2.12132 | + | 2.12132i | −0.348743 | + | 0.348743i | −0.859641 | − | 0.510898i | \(-0.829313\pi\) |
0.510898 | + | 0.859641i | \(0.329313\pi\) | |||||||
\(38\) | −4.31199 | + | 0.637756i | −0.699497 | + | 0.103458i | ||||
\(39\) | 0.828427 | + | 4.82843i | 0.132655 | + | 0.773167i | ||||
\(40\) | 1.23205 | + | 1.86603i | 0.194804 | + | 0.295045i | ||||
\(41\) | −2.59808 | − | 1.50000i | −0.405751 | − | 0.234261i | 0.283211 | − | 0.959058i | \(-0.408600\pi\) |
−0.688963 | + | 0.724797i | \(0.741934\pi\) | |||||||
\(42\) | 0.476756 | − | 5.17423i | 0.0735650 | − | 0.798402i | ||||
\(43\) | −4.09808 | + | 1.09808i | −0.624951 | + | 0.167455i | −0.557377 | − | 0.830259i | \(-0.688192\pi\) |
−0.0675734 | + | 0.997714i | \(0.521526\pi\) | |||||||
\(44\) | −0.0857864 | − | 0.148586i | −0.0129328 | − | 0.0224003i | ||||
\(45\) | 4.12132 | + | 5.29289i | 0.614370 | + | 0.789018i | ||||
\(46\) | 3.00000 | 0.442326 | ||||||||
\(47\) | 1.67851 | − | 6.26430i | 0.244836 | − | 0.913742i | −0.728629 | − | 0.684909i | \(-0.759842\pi\) |
0.973466 | − | 0.228834i | \(-0.0734912\pi\) | |||||||
\(48\) | 0.158919 | − | 1.72474i | 0.0229379 | − | 0.248945i | ||||
\(49\) | − | 2.00000i | − | 0.285714i | ||||||
\(50\) | −4.94975 | − | 0.707107i | −0.700000 | − | 0.100000i | ||||
\(51\) | −2.98709 | + | 2.48307i | −0.418276 | + | 0.347699i | ||||
\(52\) | 0.732051 | + | 2.73205i | 0.101517 | + | 0.378867i | ||||
\(53\) | −9.16208 | − | 2.45497i | −1.25851 | − | 0.337216i | −0.432891 | − | 0.901446i | \(-0.642506\pi\) |
−0.825618 | + | 0.564230i | \(0.809173\pi\) | |||||||
\(54\) | 0.0719302 | − | 5.19565i | 0.00978846 | − | 0.707039i | ||||
\(55\) | 0.375860 | + | 0.0769140i | 0.0506809 | + | 0.0103711i | ||||
\(56\) | − | 3.00000i | − | 0.400892i | ||||||
\(57\) | −7.17423 | + | 2.35167i | −0.950251 | + | 0.311486i | ||||
\(58\) | 2.24264 | + | 2.24264i | 0.294473 | + | 0.294473i | ||||
\(59\) | −2.82843 | + | 4.89898i | −0.368230 | + | 0.637793i | −0.989289 | − | 0.145971i | \(-0.953369\pi\) |
0.621059 | + | 0.783764i | \(0.286703\pi\) | |||||||
\(60\) | 2.64979 | + | 2.82465i | 0.342086 | + | 0.364660i | ||||
\(61\) | −1.12132 | − | 1.94218i | −0.143570 | − | 0.248671i | 0.785268 | − | 0.619156i | \(-0.212525\pi\) |
−0.928839 | + | 0.370484i | \(0.879192\pi\) | |||||||
\(62\) | 6.02993 | − | 1.61571i | 0.765802 | − | 0.205196i | ||||
\(63\) | −0.701625 | − | 8.97261i | −0.0883964 | − | 1.13044i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −5.65685 | − | 2.82843i | −0.701646 | − | 0.350823i | ||||
\(66\) | −0.189967 | − | 0.228527i | −0.0233833 | − | 0.0281297i | ||||
\(67\) | 5.46410 | + | 1.46410i | 0.667546 | + | 0.178868i | 0.576649 | − | 0.816992i | \(-0.304360\pi\) |
0.0908970 | + | 0.995860i | \(0.471027\pi\) | |||||||
\(68\) | −1.58579 | + | 1.58579i | −0.192305 | + | 0.192305i | ||||
\(69\) | 5.12132 | − | 0.878680i | 0.616535 | − | 0.105781i | ||||
\(70\) | 5.01910 | + | 4.45069i | 0.599897 | + | 0.531959i | ||||
\(71\) | −9.16756 | − | 5.29289i | −1.08799 | − | 0.628151i | −0.154949 | − | 0.987922i | \(-0.549521\pi\) |
−0.933040 | + | 0.359772i | \(0.882855\pi\) | |||||||
\(72\) | −0.233875 | − | 2.99087i | −0.0275624 | − | 0.352477i | ||||
\(73\) | −15.6892 | + | 4.20390i | −1.83628 | + | 0.492030i | −0.998539 | − | 0.0540373i | \(-0.982791\pi\) |
−0.837741 | + | 0.546067i | \(0.816124\pi\) | |||||||
\(74\) | −1.50000 | + | 2.59808i | −0.174371 | + | 0.302020i | ||||
\(75\) | −8.65685 | + | 0.242641i | −0.999607 | + | 0.0280177i | ||||
\(76\) | −4.00000 | + | 1.73205i | −0.458831 | + | 0.198680i | ||||
\(77\) | −0.363961 | − | 0.363961i | −0.0414772 | − | 0.0414772i | ||||
\(78\) | 2.04989 | + | 4.44949i | 0.232104 | + | 0.503806i | ||||
\(79\) | 5.61642 | + | 3.24264i | 0.631896 | + | 0.364826i | 0.781486 | − | 0.623923i | \(-0.214462\pi\) |
−0.149590 | + | 0.988748i | \(0.547795\pi\) | |||||||
\(80\) | 1.67303 | + | 1.48356i | 0.187051 | + | 0.165867i | ||||
\(81\) | −1.39898 | − | 8.89060i | −0.155442 | − | 0.987845i | ||||
\(82\) | −2.89778 | − | 0.776457i | −0.320006 | − | 0.0857453i | ||||
\(83\) | −3.00000 | + | 3.00000i | −0.329293 | + | 0.329293i | −0.852318 | − | 0.523025i | \(-0.824804\pi\) |
0.523025 | + | 0.852318i | \(0.324804\pi\) | |||||||
\(84\) | −0.878680 | − | 5.12132i | −0.0958718 | − | 0.558782i | ||||
\(85\) | −0.300457 | − | 5.00569i | −0.0325891 | − | 0.542943i | ||||
\(86\) | −3.67423 | + | 2.12132i | −0.396203 | + | 0.228748i | ||||
\(87\) | 4.48528 | + | 3.17157i | 0.480873 | + | 0.340028i | ||||
\(88\) | −0.121320 | − | 0.121320i | −0.0129328 | − | 0.0129328i | ||||
\(89\) | 5.91421 | + | 10.2437i | 0.626905 | + | 1.08583i | 0.988169 | + | 0.153368i | \(0.0490121\pi\) |
−0.361264 | + | 0.932464i | \(0.617655\pi\) | |||||||
\(90\) | 5.35079 | + | 4.04587i | 0.564023 | + | 0.426472i | ||||
\(91\) | 4.24264 | + | 7.34847i | 0.444750 | + | 0.770329i | ||||
\(92\) | 2.89778 | − | 0.776457i | 0.302114 | − | 0.0809513i | ||||
\(93\) | 9.82050 | − | 4.52432i | 1.01834 | − | 0.469150i | ||||
\(94\) | − | 6.48528i | − | 0.668906i | ||||||
\(95\) | 3.03648 | − | 9.26174i | 0.311536 | − | 0.950234i | ||||
\(96\) | −0.292893 | − | 1.70711i | −0.0298933 | − | 0.174231i | ||||
\(97\) | 3.74907 | + | 13.9917i | 0.380660 | + | 1.42064i | 0.844896 | + | 0.534931i | \(0.179662\pi\) |
−0.464236 | + | 0.885712i | \(0.653671\pi\) | |||||||
\(98\) | −0.517638 | − | 1.93185i | −0.0522893 | − | 0.195146i | ||||
\(99\) | −0.391227 | − | 0.334480i | −0.0393198 | − | 0.0336165i | ||||
\(100\) | −4.96410 | + | 0.598076i | −0.496410 | + | 0.0598076i | ||||
\(101\) | −14.9941 | + | 8.65685i | −1.49197 | + | 0.861389i | −0.999958 | − | 0.00919913i | \(-0.997072\pi\) |
−0.492012 | + | 0.870588i | \(0.663738\pi\) | |||||||
\(102\) | −2.24264 | + | 3.17157i | −0.222055 | + | 0.314033i | ||||
\(103\) | −2.12132 | − | 2.12132i | −0.209020 | − | 0.209020i | 0.594831 | − | 0.803851i | \(-0.297219\pi\) |
−0.803851 | + | 0.594831i | \(0.797219\pi\) | |||||||
\(104\) | 1.41421 | + | 2.44949i | 0.138675 | + | 0.240192i | ||||
\(105\) | 9.87171 | + | 6.12775i | 0.963381 | + | 0.598007i | ||||
\(106\) | −9.48528 | −0.921292 | ||||||||
\(107\) | 6.00000 | + | 6.00000i | 0.580042 | + | 0.580042i | 0.934915 | − | 0.354873i | \(-0.115476\pi\) |
−0.354873 | + | 0.934915i | \(0.615476\pi\) | |||||||
\(108\) | −1.27526 | − | 5.03723i | −0.122711 | − | 0.484708i | ||||
\(109\) | −1.94218 | − | 1.12132i | −0.186027 | − | 0.107403i | 0.404094 | − | 0.914717i | \(-0.367587\pi\) |
−0.590122 | + | 0.807314i | \(0.700920\pi\) | |||||||
\(110\) | 0.382959 | − | 0.0229864i | 0.0365137 | − | 0.00219167i | ||||
\(111\) | −1.79970 | + | 4.87453i | −0.170820 | + | 0.462670i | ||||
\(112\) | −0.776457 | − | 2.89778i | −0.0733683 | − | 0.273814i | ||||
\(113\) | 14.1421 | − | 14.1421i | 1.33038 | − | 1.33038i | 0.425352 | − | 0.905028i | \(-0.360150\pi\) |
0.905028 | − | 0.425352i | \(-0.139850\pi\) | |||||||
\(114\) | −6.32112 | + | 4.12837i | −0.592027 | + | 0.386657i | ||||
\(115\) | −3.00000 | + | 6.00000i | −0.279751 | + | 0.559503i | ||||
\(116\) | 2.74666 | + | 1.58579i | 0.255021 | + | 0.147237i | ||||
\(117\) | 4.80260 | + | 6.99536i | 0.444001 | + | 0.646721i | ||||
\(118\) | −1.46410 | + | 5.46410i | −0.134781 | + | 0.503011i | ||||
\(119\) | −3.36396 | + | 5.82655i | −0.308374 | + | 0.534119i | ||||
\(120\) | 3.29057 | + | 2.04258i | 0.300387 | + | 0.186461i | ||||
\(121\) | 10.9706 | 0.997324 | ||||||||
\(122\) | −1.58579 | − | 1.58579i | −0.143570 | − | 0.143570i | ||||
\(123\) | −5.17423 | − | 0.476756i | −0.466545 | − | 0.0429876i | ||||
\(124\) | 5.40629 | − | 3.12132i | 0.485499 | − | 0.280303i | ||||
\(125\) | 6.36396 | − | 9.19239i | 0.569210 | − | 0.822192i | ||||
\(126\) | −3.00000 | − | 8.48528i | −0.267261 | − | 0.755929i | ||||
\(127\) | 2.56632 | + | 0.687644i | 0.227724 | + | 0.0610186i | 0.370877 | − | 0.928682i | \(-0.379057\pi\) |
−0.143152 | + | 0.989701i | \(0.545724\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | −5.65099 | + | 4.69748i | −0.497542 | + | 0.413590i | ||||
\(130\) | −6.19615 | − | 1.26795i | −0.543439 | − | 0.111207i | ||||
\(131\) | 12.9904 | + | 7.50000i | 1.13497 | + | 0.655278i | 0.945181 | − | 0.326546i | \(-0.105885\pi\) |
0.189794 | + | 0.981824i | \(0.439218\pi\) | |||||||
\(132\) | −0.242641 | − | 0.171573i | −0.0211192 | − | 0.0149335i | ||||
\(133\) | −10.2462 | + | 8.12493i | −0.888462 | + | 0.704520i | ||||
\(134\) | 5.65685 | 0.488678 | ||||||||
\(135\) | 10.3194 | + | 5.33951i | 0.888151 | + | 0.459552i | ||||
\(136\) | −1.12132 | + | 1.94218i | −0.0961524 | + | 0.166541i | ||||
\(137\) | 5.30198 | − | 19.7873i | 0.452979 | − | 1.69054i | −0.240984 | − | 0.970529i | \(-0.577470\pi\) |
0.693963 | − | 0.720011i | \(-0.255863\pi\) | |||||||
\(138\) | 4.71940 | − | 2.17423i | 0.401742 | − | 0.185083i | ||||
\(139\) | −12.1244 | + | 7.00000i | −1.02837 | + | 0.593732i | −0.916519 | − | 0.399992i | \(-0.869013\pi\) |
−0.111856 | + | 0.993724i | \(0.535679\pi\) | |||||||
\(140\) | 6.00000 | + | 3.00000i | 0.507093 | + | 0.253546i | ||||
\(141\) | −1.89949 | − | 11.0711i | −0.159966 | − | 0.932352i | ||||
\(142\) | −10.2251 | − | 2.73980i | −0.858070 | − | 0.229919i | ||||
\(143\) | 0.468746 | + | 0.125600i | 0.0391985 | + | 0.0105032i | ||||
\(144\) | −1.00000 | − | 2.82843i | −0.0833333 | − | 0.235702i | ||||
\(145\) | −6.72792 | + | 2.24264i | −0.558724 | + | 0.186241i | ||||
\(146\) | −14.0665 | + | 8.12132i | −1.16416 | + | 0.672125i | ||||
\(147\) | −1.44949 | − | 3.14626i | −0.119552 | − | 0.259500i | ||||
\(148\) | −0.776457 | + | 2.89778i | −0.0638244 | + | 0.238196i | ||||
\(149\) | 5.65685 | − | 9.79796i | 0.463428 | − | 0.802680i | −0.535701 | − | 0.844407i | \(-0.679953\pi\) |
0.999129 | + | 0.0417274i | \(0.0132861\pi\) | |||||||
\(150\) | −8.29908 | + | 2.47493i | −0.677617 | + | 0.202077i | ||||
\(151\) | −10.7279 | −0.873026 | −0.436513 | − | 0.899698i | \(-0.643787\pi\) | ||||
−0.436513 | + | 0.899698i | \(0.643787\pi\) | |||||||
\(152\) | −3.41542 | + | 2.70831i | −0.277027 | + | 0.219673i | ||||
\(153\) | −2.89949 | + | 6.07107i | −0.234410 | + | 0.490817i | ||||
\(154\) | −0.445759 | − | 0.257359i | −0.0359203 | − | 0.0207386i | ||||
\(155\) | −2.79850 | + | 13.6756i | −0.224781 | + | 1.09845i | ||||
\(156\) | 3.13165 | + | 3.76733i | 0.250733 | + | 0.301628i | ||||
\(157\) | 3.06142 | + | 11.4254i | 0.244328 | + | 0.911845i | 0.973720 | + | 0.227749i | \(0.0731365\pi\) |
−0.729392 | + | 0.684096i | \(0.760197\pi\) | |||||||
\(158\) | 6.26430 | + | 1.67851i | 0.498361 | + | 0.133535i | ||||
\(159\) | −16.1924 | + | 2.77817i | −1.28414 | + | 0.220324i | ||||
\(160\) | 2.00000 | + | 1.00000i | 0.158114 | + | 0.0790569i | ||||
\(161\) | 7.79423 | − | 4.50000i | 0.614271 | − | 0.354650i | ||||
\(162\) | −3.65237 | − | 8.22558i | −0.286957 | − | 0.646263i | ||||
\(163\) | −14.2426 | − | 14.2426i | −1.11557 | − | 1.11557i | −0.992384 | − | 0.123186i | \(-0.960689\pi\) |
−0.123186 | − | 0.992384i | \(-0.539311\pi\) | |||||||
\(164\) | −3.00000 | −0.234261 | ||||||||
\(165\) | 0.647020 | − | 0.151406i | 0.0503704 | − | 0.0117870i | ||||
\(166\) | −2.12132 | + | 3.67423i | −0.164646 | + | 0.285176i | ||||
\(167\) | 6.07844 | − | 22.6850i | 0.470364 | − | 1.75542i | −0.168101 | − | 0.985770i | \(-0.553763\pi\) |
0.638464 | − | 0.769651i | \(-0.279570\pi\) | |||||||
\(168\) | −2.17423 | − | 4.71940i | −0.167746 | − | 0.364109i | ||||
\(169\) | 4.33013 | + | 2.50000i | 0.333087 | + | 0.192308i | ||||
\(170\) | −1.58579 | − | 4.75736i | −0.121624 | − | 0.364873i | ||||
\(171\) | −9.58166 | + | 8.89898i | −0.732728 | + | 0.680522i | ||||
\(172\) | −3.00000 | + | 3.00000i | −0.228748 | + | 0.228748i | ||||
\(173\) | −5.16876 | − | 19.2901i | −0.392974 | − | 1.46660i | −0.825204 | − | 0.564835i | \(-0.808940\pi\) |
0.432230 | − | 0.901763i | \(-0.357727\pi\) | |||||||
\(174\) | 5.15331 | + | 1.90263i | 0.390672 | + | 0.144238i | ||||
\(175\) | −13.9205 | + | 5.58750i | −1.05229 | + | 0.422376i | ||||
\(176\) | −0.148586 | − | 0.0857864i | −0.0112001 | − | 0.00646640i | ||||
\(177\) | −0.898979 | + | 9.75663i | −0.0675714 | + | 0.733353i | ||||
\(178\) | 8.36396 | + | 8.36396i | 0.626905 | + | 0.626905i | ||||
\(179\) | −9.34315 | −0.698340 | −0.349170 | − | 0.937059i | \(-0.613536\pi\) | ||||
−0.349170 | + | 0.937059i | \(0.613536\pi\) | |||||||
\(180\) | 6.21561 | + | 2.52312i | 0.463285 | + | 0.188062i | ||||
\(181\) | −7.24264 | − | 12.5446i | −0.538341 | − | 0.932434i | −0.998994 | − | 0.0448537i | \(-0.985718\pi\) |
0.460652 | − | 0.887581i | \(-0.347616\pi\) | |||||||
\(182\) | 6.00000 | + | 6.00000i | 0.444750 | + | 0.444750i | ||||
\(183\) | −3.17157 | − | 2.24264i | −0.234449 | − | 0.165781i | ||||
\(184\) | 2.59808 | − | 1.50000i | 0.191533 | − | 0.110581i | ||||
\(185\) | −3.69615 | − | 5.59808i | −0.271747 | − | 0.411579i | ||||
\(186\) | 8.31489 | − | 6.91189i | 0.609678 | − | 0.506804i | ||||
\(187\) | 0.0995874 | + | 0.371665i | 0.00728255 | + | 0.0271789i | ||||
\(188\) | −1.67851 | − | 6.26430i | −0.122418 | − | 0.456871i | ||||
\(189\) | −7.60660 | − | 13.6066i | −0.553299 | − | 0.989735i | ||||
\(190\) | 0.535898 | − | 9.73205i | 0.0388782 | − | 0.706037i | ||||
\(191\) | 10.5858i | 0.765961i | 0.923757 | + | 0.382980i | \(0.125102\pi\) | ||||
−0.923757 | + | 0.382980i | \(0.874898\pi\) | |||||||
\(192\) | −0.724745 | − | 1.57313i | −0.0523040 | − | 0.113531i | ||||
\(193\) | 11.5911 | − | 3.10583i | 0.834346 | − | 0.223562i | 0.183737 | − | 0.982975i | \(-0.441180\pi\) |
0.650609 | + | 0.759413i | \(0.274514\pi\) | |||||||
\(194\) | 7.24264 | + | 12.5446i | 0.519991 | + | 0.900651i | ||||
\(195\) | −10.9489 | − | 0.349714i | −0.784065 | − | 0.0250435i | ||||
\(196\) | −1.00000 | − | 1.73205i | −0.0714286 | − | 0.123718i | ||||
\(197\) | 6.02082 | + | 6.02082i | 0.428965 | + | 0.428965i | 0.888276 | − | 0.459310i | \(-0.151903\pi\) |
−0.459310 | + | 0.888276i | \(0.651903\pi\) | |||||||
\(198\) | −0.464466 | − | 0.221825i | −0.0330082 | − | 0.0157644i | ||||
\(199\) | 12.3345 | − | 7.12132i | 0.874369 | − | 0.504817i | 0.00557117 | − | 0.999984i | \(-0.498227\pi\) |
0.868798 | + | 0.495167i | \(0.164893\pi\) | |||||||
\(200\) | −4.64016 | + | 1.86250i | −0.328109 | + | 0.131699i | ||||
\(201\) | 9.65685 | − | 1.65685i | 0.681142 | − | 0.116865i | ||||
\(202\) | −12.2426 | + | 12.2426i | −0.861389 | + | 0.861389i | ||||
\(203\) | 9.19051 | + | 2.46259i | 0.645048 | + | 0.172840i | ||||
\(204\) | −1.34536 | + | 3.64394i | −0.0941941 | + | 0.255127i | ||||
\(205\) | 4.45069 | − | 5.01910i | 0.310850 | − | 0.350549i | ||||
\(206\) | −2.59808 | − | 1.50000i | −0.181017 | − | 0.104510i | ||||
\(207\) | 7.41970 | − | 5.09393i | 0.515704 | − | 0.354053i | ||||
\(208\) | 2.00000 | + | 2.00000i | 0.138675 | + | 0.138675i | ||||
\(209\) | −0.0857864 | + | 0.742932i | −0.00593397 | + | 0.0513897i | ||||
\(210\) | 11.1213 | + | 3.36396i | 0.767444 | + | 0.232135i | ||||
\(211\) | −1.74264 | + | 3.01834i | −0.119968 | + | 0.207791i | −0.919755 | − | 0.392493i | \(-0.871613\pi\) |
0.799787 | + | 0.600284i | \(0.204946\pi\) | |||||||
\(212\) | −9.16208 | + | 2.45497i | −0.629254 | + | 0.168608i | ||||
\(213\) | −18.2578 | − | 1.68228i | −1.25100 | − | 0.115268i | ||||
\(214\) | 7.34847 | + | 4.24264i | 0.502331 | + | 0.290021i | ||||
\(215\) | −0.568406 | − | 9.46979i | −0.0387650 | − | 0.645834i | ||||
\(216\) | −2.53553 | − | 4.53553i | −0.172521 | − | 0.308604i | ||||
\(217\) | 13.2426 | − | 13.2426i | 0.898969 | − | 0.898969i | ||||
\(218\) | −2.16622 | − | 0.580438i | −0.146715 | − | 0.0393122i | ||||
\(219\) | −21.6344 | + | 17.9840i | −1.46192 | + | 1.21524i | ||||
\(220\) | 0.363961 | − | 0.121320i | 0.0245382 | − | 0.00817942i | ||||
\(221\) | − | 6.34315i | − | 0.426686i | ||||||
\(222\) | −0.476756 | + | 5.17423i | −0.0319978 | + | 0.347272i | ||||
\(223\) | 16.8895 | − | 4.52552i | 1.13100 | − | 0.303051i | 0.355675 | − | 0.934610i | \(-0.384251\pi\) |
0.775328 | + | 0.631558i | \(0.217584\pi\) | |||||||
\(224\) | −1.50000 | − | 2.59808i | −0.100223 | − | 0.173591i | ||||
\(225\) | −13.4425 | + | 6.65572i | −0.896168 | + | 0.443714i | ||||
\(226\) | 10.0000 | − | 17.3205i | 0.665190 | − | 1.15214i | ||||
\(227\) | 16.2426 | + | 16.2426i | 1.07806 | + | 1.07806i | 0.996683 | + | 0.0813787i | \(0.0259323\pi\) |
0.0813787 | + | 0.996683i | \(0.474068\pi\) | |||||||
\(228\) | −5.03723 | + | 5.62372i | −0.333599 | + | 0.372440i | ||||
\(229\) | 15.7574i | 1.04128i | 0.853778 | + | 0.520638i | \(0.174306\pi\) | ||||
−0.853778 | + | 0.520638i | \(0.825694\pi\) | |||||||
\(230\) | −1.34486 | + | 6.57201i | −0.0886777 | + | 0.433346i | ||||
\(231\) | −0.836338 | − | 0.308780i | −0.0550270 | − | 0.0203162i | ||||
\(232\) | 3.06350 | + | 0.820863i | 0.201129 | + | 0.0538923i | ||||
\(233\) | 2.71379 | + | 10.1280i | 0.177786 | + | 0.663508i | 0.996060 | + | 0.0886791i | \(0.0282646\pi\) |
−0.818274 | + | 0.574828i | \(0.805069\pi\) | |||||||
\(234\) | 6.44949 | + | 5.51399i | 0.421616 | + | 0.360461i | ||||
\(235\) | 12.9706 | + | 6.48528i | 0.846106 | + | 0.423053i | ||||
\(236\) | 5.65685i | 0.368230i | ||||||||
\(237\) | 11.1855 | + | 1.03063i | 0.726573 | + | 0.0669467i | ||||
\(238\) | −1.74131 | + | 6.49867i | −0.112873 | + | 0.421246i | ||||
\(239\) | −0.686292 | −0.0443925 | −0.0221963 | − | 0.999754i | \(-0.507066\pi\) | ||||
−0.0221963 | + | 0.999754i | \(0.507066\pi\) | |||||||
\(240\) | 3.70711 | + | 1.12132i | 0.239293 | + | 0.0723809i | ||||
\(241\) | 0.242641 | + | 0.420266i | 0.0156299 | + | 0.0270717i | 0.873735 | − | 0.486403i | \(-0.161691\pi\) |
−0.858105 | + | 0.513475i | \(0.828358\pi\) | |||||||
\(242\) | 10.5967 | − | 2.83939i | 0.681185 | − | 0.182523i | ||||
\(243\) | −8.64420 | − | 12.9722i | −0.554526 | − | 0.832167i | ||||
\(244\) | −1.94218 | − | 1.12132i | −0.124336 | − | 0.0717852i | ||||
\(245\) | 4.38134 | + | 0.896575i | 0.279914 | + | 0.0572801i | ||||
\(246\) | −5.12132 | + | 0.878680i | −0.326523 | + | 0.0560226i | ||||
\(247\) | 4.53590 | − | 11.4641i | 0.288612 | − | 0.729443i | ||||
\(248\) | 4.41421 | − | 4.41421i | 0.280303 | − | 0.280303i | ||||
\(249\) | −2.54516 | + | 6.89363i | −0.161293 | + | 0.436866i | ||||
\(250\) | 3.76795 | − | 10.5263i | 0.238306 | − | 0.665740i | ||||
\(251\) | −14.9941 | + | 8.65685i | −0.946420 | + | 0.546416i | −0.891967 | − | 0.452101i | \(-0.850675\pi\) |
−0.0544529 | + | 0.998516i | \(0.517341\pi\) | |||||||
\(252\) | −5.09393 | − | 7.41970i | −0.320887 | − | 0.467397i | ||||
\(253\) | 0.133219 | − | 0.497180i | 0.00837541 | − | 0.0312574i | ||||
\(254\) | 2.65685 | 0.166706 | ||||||||
\(255\) | −4.10051 | − | 7.65685i | −0.256784 | − | 0.479491i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 2.13335 | − | 7.96178i | 0.133075 | − | 0.496642i | −0.866924 | − | 0.498441i | \(-0.833906\pi\) |
0.999998 | + | 0.00179903i | \(0.000572648\pi\) | |||||||
\(258\) | −4.24264 | + | 6.00000i | −0.264135 | + | 0.373544i | ||||
\(259\) | 9.00000i | 0.559233i | ||||||||
\(260\) | −6.31319 | + | 0.378937i | −0.391528 | + | 0.0235007i | ||||
\(261\) | 9.35452 | + | 1.73862i | 0.579030 | + | 0.107618i | ||||
\(262\) | 14.4889 | + | 3.88229i | 0.895126 | + | 0.239848i | ||||
\(263\) | −0.384419 | − | 1.43467i | −0.0237043 | − | 0.0884656i | 0.953060 | − | 0.302780i | \(-0.0979149\pi\) |
−0.976765 | + | 0.214315i | \(0.931248\pi\) | |||||||
\(264\) | −0.278779 | − | 0.102927i | −0.0171577 | − | 0.00633470i | ||||
\(265\) | 9.48528 | − | 18.9706i | 0.582676 | − | 1.16535i | ||||
\(266\) | −7.79423 | + | 10.5000i | −0.477895 | + | 0.643796i | ||||
\(267\) | 16.7279 | + | 11.8284i | 1.02373 | + | 0.723888i | ||||
\(268\) | 5.46410 | − | 1.46410i | 0.333773 | − | 0.0894342i | ||||
\(269\) | 5.46447 | − | 9.46473i | 0.333174 | − | 0.577075i | −0.649958 | − | 0.759970i | \(-0.725214\pi\) |
0.983132 | + | 0.182895i | \(0.0585469\pi\) | |||||||
\(270\) | 11.3497 | + | 2.48672i | 0.690722 | + | 0.151337i | ||||
\(271\) | 1.00000 | − | 1.73205i | 0.0607457 | − | 0.105215i | −0.834053 | − | 0.551684i | \(-0.813985\pi\) |
0.894799 | + | 0.446469i | \(0.147319\pi\) | |||||||
\(272\) | −0.580438 | + | 2.16622i | −0.0351942 | + | 0.131347i | ||||
\(273\) | 12.0000 | + | 8.48528i | 0.726273 | + | 0.513553i | ||||
\(274\) | − | 20.4853i | − | 1.23756i | ||||||
\(275\) | −0.336987 | + | 0.788905i | −0.0203211 | + | 0.0475728i | ||||
\(276\) | 3.99585 | − | 3.32162i | 0.240522 | − | 0.199938i | ||||
\(277\) | 20.4853 | − | 20.4853i | 1.23084 | − | 1.23084i | 0.267200 | − | 0.963641i | \(-0.413901\pi\) |
0.963641 | − | 0.267200i | \(-0.0860985\pi\) | |||||||
\(278\) | −9.89949 | + | 9.89949i | −0.593732 | + | 0.593732i | ||||
\(279\) | 12.1700 | − | 14.2347i | 0.728597 | − | 0.852210i | ||||
\(280\) | 6.57201 | + | 1.34486i | 0.392753 | + | 0.0803709i | ||||
\(281\) | 5.34474 | − | 3.08579i | 0.318840 | − | 0.184083i | −0.332035 | − | 0.943267i | \(-0.607735\pi\) |
0.650876 | + | 0.759184i | \(0.274402\pi\) | |||||||
\(282\) | −4.70017 | − | 10.2022i | −0.279891 | − | 0.607532i | ||||
\(283\) | 11.2597 | − | 3.01702i | 0.669317 | − | 0.179343i | 0.0918699 | − | 0.995771i | \(-0.470716\pi\) |
0.577447 | + | 0.816428i | \(0.304049\pi\) | |||||||
\(284\) | −10.5858 | −0.628151 | ||||||||
\(285\) | −1.93562 | − | 16.7706i | −0.114656 | − | 0.993405i | ||||
\(286\) | 0.485281 | 0.0286953 | ||||||||
\(287\) | −8.69333 | + | 2.32937i | −0.513151 | + | 0.137498i | ||||
\(288\) | −1.69798 | − | 2.47323i | −0.100054 | − | 0.145737i | ||||
\(289\) | −10.3668 | + | 5.98528i | −0.609812 | + | 0.352075i | ||||
\(290\) | −5.91824 | + | 3.90754i | −0.347531 | + | 0.229459i | ||||
\(291\) | 16.0382 | + | 19.2937i | 0.940176 | + | 1.13102i | ||||
\(292\) | −11.4853 | + | 11.4853i | −0.672125 | + | 0.672125i | ||||
\(293\) | 18.3640 | − | 18.3640i | 1.07283 | − | 1.07283i | 0.0757037 | − | 0.997130i | \(-0.475880\pi\) |
0.997130 | − | 0.0757037i | \(-0.0241203\pi\) | |||||||
\(294\) | −2.21441 | − | 2.66390i | −0.129147 | − | 0.155362i | ||||
\(295\) | −9.46410 | − | 8.39230i | −0.551021 | − | 0.488619i | ||||
\(296\) | 3.00000i | 0.174371i | ||||||||
\(297\) | −0.857864 | − | 0.242641i | −0.0497783 | − | 0.0140794i | ||||
\(298\) | 2.92820 | − | 10.9282i | 0.169626 | − | 0.633054i | ||||
\(299\) | −4.24264 | + | 7.34847i | −0.245358 | + | 0.424973i | ||||
\(300\) | −7.37574 | + | 4.53856i | −0.425838 | + | 0.262034i | ||||
\(301\) | −6.36396 | + | 11.0227i | −0.366813 | + | 0.635338i | ||||
\(302\) | −10.3624 | + | 2.77659i | −0.596288 | + | 0.159775i | ||||
\(303\) | −17.3137 | + | 24.4853i | −0.994647 | + | 1.40664i | ||||
\(304\) | −2.59808 | + | 3.50000i | −0.149010 | + | 0.200739i | ||||
\(305\) | 4.75736 | − | 1.58579i | 0.272406 | − | 0.0908019i | ||||
\(306\) | −1.22939 | + | 6.61465i | −0.0702795 | + | 0.378134i | ||||
\(307\) | −5.21317 | − | 19.4558i | −0.297531 | − | 1.11040i | −0.939186 | − | 0.343408i | \(-0.888419\pi\) |
0.641655 | − | 0.766993i | \(-0.278248\pi\) | |||||||
\(308\) | −0.497180 | − | 0.133219i | −0.0283295 | − | 0.00759086i | ||||
\(309\) | −4.87453 | − | 1.79970i | −0.277303 | − | 0.102381i | ||||
\(310\) | 0.836355 | + | 13.9339i | 0.0475018 | + | 0.791392i | ||||
\(311\) | 8.48528i | 0.481156i | 0.970630 | + | 0.240578i | \(0.0773370\pi\) | ||||
−0.970630 | + | 0.240578i | \(0.922663\pi\) | |||||||
\(312\) | 4.00000 | + | 2.82843i | 0.226455 | + | 0.160128i | ||||
\(313\) | 5.57919 | − | 20.8218i | 0.315355 | − | 1.17692i | −0.608304 | − | 0.793704i | \(-0.708150\pi\) |
0.923659 | − | 0.383216i | \(-0.125183\pi\) | |||||||
\(314\) | 5.91421 | + | 10.2437i | 0.333758 | + | 0.578086i | ||||
\(315\) | 19.9706 | + | 2.48528i | 1.12521 | + | 0.140030i | ||||
\(316\) | 6.48528 | 0.364826 | ||||||||
\(317\) | 7.36491 | − | 27.4862i | 0.413655 | − | 1.54378i | −0.373860 | − | 0.927485i | \(-0.621966\pi\) |
0.787515 | − | 0.616296i | \(-0.211367\pi\) | |||||||
\(318\) | −14.9216 | + | 6.87441i | −0.836762 | + | 0.385498i | ||||
\(319\) | 0.471253 | − | 0.272078i | 0.0263851 | − | 0.0152334i | ||||
\(320\) | 2.19067 | + | 0.448288i | 0.122462 | + | 0.0250600i | ||||
\(321\) | 13.7873 | + | 5.09032i | 0.769530 | + | 0.284114i | ||||
\(322\) | 6.36396 | − | 6.36396i | 0.354650 | − | 0.354650i | ||||
\(323\) | 9.67025 | − | 1.43026i | 0.538067 | − | 0.0795817i | ||||
\(324\) | −5.65685 | − | 7.00000i | −0.314270 | − | 0.388889i | ||||
\(325\) | 8.73205 | − | 11.1244i | 0.484367 | − | 0.617068i | ||||
\(326\) | −17.4436 | − | 10.0711i | −0.966112 | − | 0.557785i | ||||
\(327\) | −3.86798 | − | 0.356397i | −0.213900 | − | 0.0197088i | ||||
\(328\) | −2.89778 | + | 0.776457i | −0.160003 | + | 0.0428727i | ||||
\(329\) | −9.72792 | − | 16.8493i | −0.536318 | − | 0.928930i | ||||
\(330\) | 0.585786 | − | 0.313708i | 0.0322465 | − | 0.0172691i | ||||
\(331\) | −12.5147 | −0.687871 | −0.343936 | − | 0.938993i | \(-0.611760\pi\) | ||||
−0.343936 | + | 0.938993i | \(0.611760\pi\) | |||||||
\(332\) | −1.09808 | + | 4.09808i | −0.0602648 | + | 0.224911i | ||||
\(333\) | 0.701625 | + | 8.97261i | 0.0384488 | + | 0.491696i | ||||
\(334\) | − | 23.4853i | − | 1.28506i | ||||||
\(335\) | −5.65685 | + | 11.3137i | −0.309067 | + | 0.618134i | ||||
\(336\) | −3.32162 | − | 3.99585i | −0.181209 | − | 0.217992i | ||||
\(337\) | 0.643238 | + | 2.40060i | 0.0350394 | + | 0.130769i | 0.981230 | − | 0.192841i | \(-0.0617701\pi\) |
−0.946191 | + | 0.323610i | \(0.895103\pi\) | |||||||
\(338\) | 4.82963 | + | 1.29410i | 0.262697 | + | 0.0703895i | ||||
\(339\) | 11.9980 | − | 32.4969i | 0.651642 | − | 1.76499i | ||||
\(340\) | −2.76305 | − | 4.18482i | −0.149847 | − | 0.226954i | ||||
\(341\) | − | 1.07107i | − | 0.0580016i | ||||||
\(342\) | −6.95195 | + | 11.0757i | −0.375918 | + | 0.598904i | ||||
\(343\) | 10.6066 | + | 10.6066i | 0.572703 | + | 0.572703i | ||||
\(344\) | −2.12132 | + | 3.67423i | −0.114374 | + | 0.198101i | ||||
\(345\) | −0.370927 | + | 11.6130i | −0.0199701 | + | 0.625224i | ||||
\(346\) | −9.98528 | − | 17.2950i | −0.536812 | − | 0.929786i | ||||
\(347\) | −10.5967 | + | 2.83939i | −0.568863 | + | 0.152426i | −0.531775 | − | 0.846886i | \(-0.678475\pi\) |
−0.0370881 | + | 0.999312i | \(0.511808\pi\) | |||||||
\(348\) | 5.47015 | + | 0.504022i | 0.293231 | + | 0.0270184i | ||||
\(349\) | 22.2426i | 1.19062i | 0.803496 | + | 0.595311i | \(0.202971\pi\) | ||||
−0.803496 | + | 0.595311i | \(0.797029\pi\) | |||||||
\(350\) | −12.0000 | + | 9.00000i | −0.641427 | + | 0.481070i | ||||
\(351\) | 12.6250 | + | 7.52396i | 0.673871 | + | 0.401599i | ||||
\(352\) | −0.165727 | − | 0.0444063i | −0.00883326 | − | 0.00236687i | ||||
\(353\) | −3.51472 | + | 3.51472i | −0.187070 | + | 0.187070i | −0.794428 | − | 0.607358i | \(-0.792229\pi\) |
0.607358 | + | 0.794428i | \(0.292229\pi\) | |||||||
\(354\) | 1.65685 | + | 9.65685i | 0.0880608 | + | 0.513256i | ||||
\(355\) | 15.7047 | − | 17.7104i | 0.833518 | − | 0.939969i | ||||
\(356\) | 10.2437 | + | 5.91421i | 0.542916 | + | 0.313453i | ||||
\(357\) | −1.06919 | + | 11.6039i | −0.0565876 | + | 0.614146i | ||||
\(358\) | −9.02479 | + | 2.41818i | −0.476975 | + | 0.127805i | ||||
\(359\) | −4.60660 | + | 7.97887i | −0.243127 | + | 0.421109i | −0.961603 | − | 0.274443i | \(-0.911507\pi\) |
0.718476 | + | 0.695551i | \(0.244840\pi\) | |||||||
\(360\) | 6.65685 | + | 0.828427i | 0.350847 | + | 0.0436619i | ||||
\(361\) | 18.5000 | + | 4.33013i | 0.973684 | + | 0.227901i | ||||
\(362\) | −10.2426 | − | 10.2426i | −0.538341 | − | 0.538341i | ||||
\(363\) | 17.2581 | − | 7.95086i | 0.905818 | − | 0.417312i | ||||
\(364\) | 7.34847 | + | 4.24264i | 0.385164 | + | 0.222375i | ||||
\(365\) | −2.17610 | − | 36.2544i | −0.113902 | − | 1.89764i | ||||
\(366\) | −3.64394 | − | 1.34536i | −0.190472 | − | 0.0703232i | ||||
\(367\) | −5.79555 | − | 1.55291i | −0.302526 | − | 0.0810615i | 0.104363 | − | 0.994539i | \(-0.466720\pi\) |
−0.406889 | + | 0.913478i | \(0.633386\pi\) | |||||||
\(368\) | 2.12132 | − | 2.12132i | 0.110581 | − | 0.110581i | ||||
\(369\) | −8.48528 | + | 3.00000i | −0.441726 | + | 0.156174i | ||||
\(370\) | −5.01910 | − | 4.45069i | −0.260930 | − | 0.231380i | ||||
\(371\) | −24.6435 | + | 14.2279i | −1.27943 | + | 0.738677i | ||||
\(372\) | 6.24264 | − | 8.82843i | 0.323666 | − | 0.457733i | ||||
\(373\) | 12.3640 | + | 12.3640i | 0.640182 | + | 0.640182i | 0.950600 | − | 0.310418i | \(-0.100469\pi\) |
−0.310418 | + | 0.950600i | \(0.600469\pi\) | |||||||
\(374\) | 0.192388 | + | 0.333226i | 0.00994815 | + | 0.0172307i | ||||
\(375\) | 3.34922 | − | 19.0731i | 0.172953 | − | 0.984930i | ||||
\(376\) | −3.24264 | − | 5.61642i | −0.167226 | − | 0.289645i | ||||
\(377\) | −8.66490 | + | 2.32175i | −0.446265 | + | 0.119576i | ||||
\(378\) | −10.8691 | − | 11.1742i | −0.559044 | − | 0.574741i | ||||
\(379\) | − | 22.4853i | − | 1.15499i | −0.816394 | − | 0.577496i | \(-0.804030\pi\) | ||
0.816394 | − | 0.577496i | \(-0.195970\pi\) | |||||||
\(380\) | −2.00120 | − | 9.53914i | −0.102659 | − | 0.489348i | ||||
\(381\) | 4.53553 | − | 0.778175i | 0.232362 | − | 0.0398671i | ||||
\(382\) | 2.73980 | + | 10.2251i | 0.140181 | + | 0.523161i | ||||
\(383\) | 7.89017 | + | 29.4465i | 0.403169 | + | 1.50465i | 0.807408 | + | 0.589994i | \(0.200870\pi\) |
−0.404239 | + | 0.914653i | \(0.632464\pi\) | |||||||
\(384\) | −1.10721 | − | 1.33195i | −0.0565019 | − | 0.0679709i | ||||
\(385\) | 0.960478 | − | 0.634159i | 0.0489505 | − | 0.0323198i | ||||
\(386\) | 10.3923 | − | 6.00000i | 0.528954 | − | 0.305392i | ||||
\(387\) | −5.48528 | + | 11.4853i | −0.278833 | + | 0.583830i | ||||
\(388\) | 10.2426 | + | 10.2426i | 0.519991 | + | 0.519991i | ||||
\(389\) | −2.46447 | − | 4.26858i | −0.124953 | − | 0.216426i | 0.796761 | − | 0.604294i | \(-0.206545\pi\) |
−0.921715 | + | 0.387868i | \(0.873211\pi\) | |||||||
\(390\) | −10.6663 | + | 2.49598i | −0.540109 | + | 0.126389i | ||||
\(391\) | −6.72792 | −0.340246 | ||||||||
\(392\) | −1.41421 | − | 1.41421i | −0.0714286 | − | 0.0714286i | ||||
\(393\) | 25.8712 | + | 2.38378i | 1.30503 | + | 0.120246i | ||||
\(394\) | 7.37396 | + | 4.25736i | 0.371495 | + | 0.214483i | ||||
\(395\) | −9.62133 | + | 10.8501i | −0.484102 | + | 0.545927i | ||||
\(396\) | −0.506052 | − | 0.0940542i | −0.0254301 | − | 0.00472640i | ||||
\(397\) | −2.06293 | − | 7.69897i | −0.103536 | − | 0.386400i | 0.894639 | − | 0.446789i | \(-0.147433\pi\) |
−0.998175 | + | 0.0603888i | \(0.980766\pi\) | |||||||
\(398\) | 10.0711 | − | 10.0711i | 0.504817 | − | 0.504817i | ||||
\(399\) | −10.2302 | + | 20.2075i | −0.512151 | + | 1.01164i | ||||
\(400\) | −4.00000 | + | 3.00000i | −0.200000 | + | 0.150000i | ||||
\(401\) | −29.9882 | − | 17.3137i | −1.49754 | − | 0.864605i | −0.497544 | − | 0.867439i | \(-0.665765\pi\) |
−0.999996 | + | 0.00283317i | \(0.999098\pi\) | |||||||
\(402\) | 8.89898 | − | 4.09978i | 0.443841 | − | 0.204478i | ||||
\(403\) | −4.56993 | + | 17.0552i | −0.227644 | + | 0.849581i | ||||
\(404\) | −8.65685 | + | 14.9941i | −0.430695 | + | 0.745985i | ||||
\(405\) | 20.1035 | + | 0.920846i | 0.998953 | + | 0.0457572i | ||||
\(406\) | 9.51472 | 0.472208 | ||||||||
\(407\) | 0.363961 | + | 0.363961i | 0.0180409 | + | 0.0180409i | ||||
\(408\) | −0.356397 | + | 3.86798i | −0.0176443 | + | 0.191494i | ||||
\(409\) | −21.1794 | + | 12.2279i | −1.04725 | + | 0.604632i | −0.921879 | − | 0.387478i | \(-0.873346\pi\) |
−0.125374 | + | 0.992110i | \(0.540013\pi\) | |||||||
\(410\) | 3.00000 | − | 6.00000i | 0.148159 | − | 0.296319i | ||||
\(411\) | −6.00000 | − | 34.9706i | −0.295958 | − | 1.72497i | ||||
\(412\) | −2.89778 | − | 0.776457i | −0.142763 | − | 0.0382533i | ||||
\(413\) | 4.39230 | + | 16.3923i | 0.216131 | + | 0.806613i | ||||
\(414\) | 5.84847 | − | 6.84072i | 0.287437 | − | 0.336203i | ||||
\(415\) | −5.22715 | − | 7.91688i | −0.256591 | − | 0.388624i | ||||
\(416\) | 2.44949 | + | 1.41421i | 0.120096 | + | 0.0693375i | ||||
\(417\) | −14.0000 | + | 19.7990i | −0.685583 | + | 0.969561i | ||||
\(418\) | 0.109422 | + | 0.739821i | 0.00535199 | + | 0.0361858i | ||||
\(419\) | 29.8284 | 1.45721 | 0.728607 | − | 0.684932i | \(-0.240168\pi\) | ||||
0.728607 | + | 0.684932i | \(0.240168\pi\) | |||||||
\(420\) | 11.6130 | + | 0.370927i | 0.566658 | + | 0.0180994i | ||||
\(421\) | 10.4853 | − | 18.1610i | 0.511021 | − | 0.885115i | −0.488897 | − | 0.872341i | \(-0.662601\pi\) |
0.999918 | − | 0.0127735i | \(-0.00406603\pi\) | |||||||
\(422\) | −0.902057 | + | 3.36652i | −0.0439115 | + | 0.163880i | ||||
\(423\) | −11.0119 | − | 16.0396i | −0.535415 | − | 0.779872i | ||||
\(424\) | −8.21449 | + | 4.74264i | −0.398931 | + | 0.230323i | ||||
\(425\) | 11.1005 | + | 1.58579i | 0.538454 | + | 0.0769219i | ||||
\(426\) | −18.0711 | + | 3.10051i | −0.875546 | + | 0.150220i | ||||
\(427\) | −6.49867 | − | 1.74131i | −0.314493 | − | 0.0842681i | ||||
\(428\) | 8.19615 | + | 2.19615i | 0.396176 | + | 0.106155i | ||||
\(429\) | 0.828427 | − | 0.142136i | 0.0399968 | − | 0.00686237i | ||||
\(430\) | −3.00000 | − | 9.00000i | −0.144673 | − | 0.434019i | ||||
\(431\) | 9.79796 | − | 5.65685i | 0.471951 | − | 0.272481i | −0.245105 | − | 0.969497i | \(-0.578822\pi\) |
0.717056 | + | 0.697015i | \(0.245489\pi\) | |||||||
\(432\) | −3.62302 | − | 3.72474i | −0.174313 | − | 0.179207i | ||||
\(433\) | 2.46259 | − | 9.19051i | 0.118345 | − | 0.441668i | −0.881171 | − | 0.472798i | \(-0.843244\pi\) |
0.999515 | + | 0.0311302i | \(0.00991067\pi\) | |||||||
\(434\) | 9.36396 | − | 16.2189i | 0.449485 | − | 0.778530i | ||||
\(435\) | −8.95857 | + | 8.40400i | −0.429530 | + | 0.402941i | ||||
\(436\) | −2.24264 | −0.107403 | ||||||||
\(437\) | −12.1595 | − | 4.81105i | −0.581669 | − | 0.230144i | ||||
\(438\) | −16.2426 | + | 22.9706i | −0.776103 | + | 1.09758i | ||||
\(439\) | 25.5095 | + | 14.7279i | 1.21750 | + | 0.702925i | 0.964383 | − | 0.264510i | \(-0.0852101\pi\) |
0.253119 | + | 0.967435i | \(0.418543\pi\) | |||||||
\(440\) | 0.320159 | − | 0.211386i | 0.0152630 | − | 0.0100775i | ||||
\(441\) | −4.56048 | − | 3.89898i | −0.217166 | − | 0.185666i | ||||
\(442\) | −1.64173 | − | 6.12701i | −0.0780890 | − | 0.291432i | ||||
\(443\) | 33.0759 | + | 8.86265i | 1.57148 | + | 0.421077i | 0.936276 | − | 0.351266i | \(-0.114249\pi\) |
0.635205 | + | 0.772343i | \(0.280915\pi\) | |||||||
\(444\) | 0.878680 | + | 5.12132i | 0.0417003 | + | 0.243047i | ||||
\(445\) | −25.0919 | + | 8.36396i | −1.18947 | + | 0.396490i | ||||
\(446\) | 15.1427 | − | 8.74264i | 0.717028 | − | 0.413976i | ||||
\(447\) | 1.79796 | − | 19.5133i | 0.0850405 | − | 0.922946i | ||||
\(448\) | −2.12132 | − | 2.12132i | −0.100223 | − | 0.100223i | ||||
\(449\) | 17.8284 | 0.841375 | 0.420688 | − | 0.907205i | \(-0.361789\pi\) | ||||
0.420688 | + | 0.907205i | \(0.361789\pi\) | |||||||
\(450\) | −11.2619 | + | 9.90811i | −0.530889 | + | 0.467073i | ||||
\(451\) | −0.257359 | + | 0.445759i | −0.0121186 | + | 0.0209900i | ||||
\(452\) | 5.17638 | − | 19.3185i | 0.243476 | − | 0.908667i | ||||
\(453\) | −16.8764 | + | 7.77501i | −0.792924 | + | 0.365302i | ||||
\(454\) | 19.8931 | + | 11.4853i | 0.933629 | + | 0.539031i | ||||
\(455\) | −18.0000 | + | 6.00000i | −0.843853 | + | 0.281284i | ||||
\(456\) | −3.41007 | + | 6.73583i | −0.159691 | + | 0.315434i | ||||
\(457\) | −24.9706 | + | 24.9706i | −1.16807 | + | 1.16807i | −0.185413 | + | 0.982661i | \(0.559362\pi\) |
−0.982661 | + | 0.185413i | \(0.940638\pi\) | |||||||
\(458\) | 4.07830 | + | 15.2204i | 0.190567 | + | 0.711204i | ||||
\(459\) | −0.161314 | + | 11.6520i | −0.00752947 | + | 0.543868i | ||||
\(460\) | 0.401924 | + | 6.69615i | 0.0187398 | + | 0.312210i | ||||
\(461\) | 21.7482 | + | 12.5563i | 1.01292 | + | 0.584807i | 0.912044 | − | 0.410092i | \(-0.134503\pi\) |
0.100872 | + | 0.994899i | \(0.467837\pi\) | |||||||
\(462\) | −0.887758 | − | 0.0817984i | −0.0413023 | − | 0.00380560i | ||||
\(463\) | −29.3345 | − | 29.3345i | −1.36329 | − | 1.36329i | −0.869687 | − | 0.493604i | \(-0.835679\pi\) |
−0.493604 | − | 0.869687i | \(-0.664321\pi\) | |||||||
\(464\) | 3.17157 | 0.147237 | ||||||||
\(465\) | 5.50889 | + | 23.5417i | 0.255469 | + | 1.09172i | ||||
\(466\) | 5.24264 | + | 9.08052i | 0.242861 | + | 0.420647i | ||||
\(467\) | −1.75736 | − | 1.75736i | −0.0813209 | − | 0.0813209i | 0.665276 | − | 0.746597i | \(-0.268314\pi\) |
−0.746597 | + | 0.665276i | \(0.768314\pi\) | |||||||
\(468\) | 7.65685 | + | 3.65685i | 0.353938 | + | 0.169038i | ||||
\(469\) | 14.6969 | − | 8.48528i | 0.678642 | − | 0.391814i | ||||
\(470\) | 14.2071 | + | 2.90727i | 0.655325 | + | 0.134102i | ||||
\(471\) | 13.0965 | + | 15.7549i | 0.603455 | + | 0.725947i | ||||
\(472\) | 1.46410 | + | 5.46410i | 0.0673907 | + | 0.251506i | ||||
\(473\) | 0.188400 | + | 0.703119i | 0.00866265 | + | 0.0323294i | ||||
\(474\) | 11.0711 | − | 1.89949i | 0.508511 | − | 0.0872467i | ||||
\(475\) | 18.9282 | + | 10.8038i | 0.868486 | + | 0.495715i | ||||
\(476\) | 6.72792i | 0.308374i | ||||||||
\(477\) | −23.4593 | + | 16.1058i | −1.07413 | + | 0.737433i | ||||
\(478\) | −0.662907 | + | 0.177625i | −0.0303206 | + | 0.00812439i | ||||
\(479\) | 15.1924 | + | 26.3140i | 0.694158 | + | 1.20232i | 0.970464 | + | 0.241247i | \(0.0775564\pi\) |
−0.276306 | + | 0.961070i | \(0.589110\pi\) | |||||||
\(480\) | 3.87101 | + | 0.123642i | 0.176687 | + | 0.00564348i | ||||
\(481\) | −4.24264 | − | 7.34847i | −0.193448 | − | 0.335061i | ||||
\(482\) | 0.343146 | + | 0.343146i | 0.0156299 | + | 0.0156299i | ||||
\(483\) | 9.00000 | − | 12.7279i | 0.409514 | − | 0.579141i | ||||
\(484\) | 9.50079 | − | 5.48528i | 0.431854 | − | 0.249331i | ||||
\(485\) | −32.3319 | + | 1.94066i | −1.46812 | + | 0.0881208i | ||||
\(486\) | −11.7071 | − | 10.2929i | −0.531045 | − | 0.466895i | ||||
\(487\) | 24.6066 | − | 24.6066i | 1.11503 | − | 1.11503i | 0.122572 | − | 0.992460i | \(-0.460886\pi\) |
0.992460 | − | 0.122572i | \(-0.0391142\pi\) | |||||||
\(488\) | −2.16622 | − | 0.580438i | −0.0980604 | − | 0.0262752i | ||||
\(489\) | −32.7278 | − | 12.0833i | −1.48000 | − | 0.546425i | ||||
\(490\) | 4.46410 | − | 0.267949i | 0.201668 | − | 0.0121047i | ||||
\(491\) | 5.93908 | + | 3.42893i | 0.268027 | + | 0.154746i | 0.627991 | − | 0.778221i | \(-0.283878\pi\) |
−0.359964 | + | 0.932966i | \(0.617211\pi\) | |||||||
\(492\) | −4.71940 | + | 2.17423i | −0.212767 | + | 0.0980221i | ||||
\(493\) | −5.02944 | − | 5.02944i | −0.226514 | − | 0.226514i | ||||
\(494\) | 1.41421 | − | 12.2474i | 0.0636285 | − | 0.551039i | ||||
\(495\) | 0.908117 | − | 0.707107i | 0.0408168 | − | 0.0317821i | ||||
\(496\) | 3.12132 | − | 5.40629i | 0.140151 | − | 0.242749i | ||||
\(497\) | −30.6753 | + | 8.21941i | −1.37597 | + | 0.368691i | ||||
\(498\) | −0.674235 | + | 7.31747i | −0.0302132 | + | 0.327904i | ||||
\(499\) | 32.8835 | + | 18.9853i | 1.47207 | + | 0.849898i | 0.999507 | − | 0.0314008i | \(-0.00999684\pi\) |
0.472560 | + | 0.881299i | \(0.343330\pi\) | |||||||
\(500\) | 0.915158 | − | 11.1428i | 0.0409271 | − | 0.498322i | ||||
\(501\) | −6.87868 | − | 40.0919i | −0.307317 | − | 1.79117i | ||||
\(502\) | −12.2426 | + | 12.2426i | −0.546416 | + | 0.546416i | ||||
\(503\) | −17.3582 | − | 4.65112i | −0.773965 | − | 0.207383i | −0.149843 | − | 0.988710i | \(-0.547877\pi\) |
−0.624123 | + | 0.781326i | \(0.714543\pi\) | |||||||
\(504\) | −6.84072 | − | 5.84847i | −0.304710 | − | 0.260512i | ||||
\(505\) | −12.2426 | − | 36.7279i | −0.544790 | − | 1.63437i | ||||
\(506\) | − | 0.514719i | − | 0.0228820i | ||||||
\(507\) | 8.62372 | + | 0.794593i | 0.382993 | + | 0.0352891i | ||||
\(508\) | 2.56632 | − | 0.687644i | 0.113862 | − | 0.0305093i | ||||
\(509\) | −6.36396 | − | 11.0227i | −0.282078 | − | 0.488573i | 0.689819 | − | 0.723982i | \(-0.257690\pi\) |
−0.971896 | + | 0.235409i | \(0.924357\pi\) | |||||||
\(510\) | −5.94252 | − | 6.33466i | −0.263139 | − | 0.280504i | ||||
\(511\) | −24.3640 | + | 42.1996i | −1.07780 | + | 1.86680i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −8.62372 | + | 20.9435i | −0.380747 | + | 0.924679i | ||||
\(514\) | − | 8.24264i | − | 0.363567i | ||||||
\(515\) | 5.59808 | − | 3.69615i | 0.246681 | − | 0.162872i | ||||
\(516\) | −2.54516 | + | 6.89363i | −0.112045 | + | 0.303475i | ||||
\(517\) | −1.07478 | − | 0.287988i | −0.0472690 | − | 0.0126657i | ||||
\(518\) | 2.32937 | + | 8.69333i | 0.102347 | + | 0.381963i | ||||
\(519\) | −22.1115 | − | 26.5998i | −0.970589 | − | 1.16760i | ||||
\(520\) | −6.00000 | + | 2.00000i | −0.263117 | + | 0.0877058i | ||||
\(521\) | 35.3137i | 1.54712i | 0.633722 | + | 0.773561i | \(0.281526\pi\) | ||||
−0.633722 | + | 0.773561i | \(0.718474\pi\) | |||||||
\(522\) | 9.48576 | − | 0.741752i | 0.415181 | − | 0.0324656i | ||||
\(523\) | −6.12284 | + | 22.8508i | −0.267733 | + | 0.999194i | 0.692823 | + | 0.721108i | \(0.256367\pi\) |
−0.960556 | + | 0.278086i | \(0.910300\pi\) | |||||||
\(524\) | 15.0000 | 0.655278 | ||||||||
\(525\) | −17.8492 | + | 18.8787i | −0.779005 | + | 0.823933i | ||||
\(526\) | −0.742641 | − | 1.28629i | −0.0323807 | − | 0.0560850i | ||||
\(527\) | −13.5230 | + | 3.62347i | −0.589069 | + | 0.157841i | ||||
\(528\) | −0.295919 | − | 0.0272661i | −0.0128782 | − | 0.00118661i | ||||
\(529\) | −12.1244 | − | 7.00000i | −0.527146 | − | 0.304348i | ||||
\(530\) | 4.25214 | − | 20.7791i | 0.184701 | − | 0.902588i | ||||
\(531\) | 5.65685 | + | 16.0000i | 0.245487 | + | 0.694341i | ||||
\(532\) | −4.81105 | + | 12.1595i | −0.208585 | + | 0.527182i | ||||
\(533\) | 6.00000 | − | 6.00000i | 0.259889 | − | 0.259889i | ||||
\(534\) | 19.2194 | + | 7.09588i | 0.831703 | + | 0.307069i | ||||
\(535\) | −15.8338 | + | 10.4543i | −0.684553 | + | 0.451979i | ||||
\(536\) | 4.89898 | − | 2.82843i | 0.211604 | − | 0.122169i | ||||
\(537\) | −14.6980 | + | 6.77140i | −0.634266 | + | 0.292207i | ||||
\(538\) | 2.82862 | − | 10.5565i | 0.121950 | − | 0.455125i | ||||
\(539\) | −0.343146 | −0.0147803 | ||||||||
\(540\) | 11.6066 | − | 0.535534i | 0.499469 | − | 0.0230457i | ||||
\(541\) | −0.636039 | − | 1.10165i | −0.0273455 | − | 0.0473637i | 0.852029 | − | 0.523495i | \(-0.175372\pi\) |
−0.879374 | + | 0.476131i | \(0.842039\pi\) | |||||||
\(542\) | 0.517638 | − | 1.93185i | 0.0222345 | − | 0.0829801i | ||||
\(543\) | −20.4853 | − | 14.4853i | −0.879108 | − | 0.621623i | ||||
\(544\) | 2.24264i | 0.0961524i | ||||||||
\(545\) | 3.32710 | − | 3.75201i | 0.142517 | − | 0.160718i | ||||
\(546\) | 13.7873 | + | 5.09032i | 0.590040 | + | 0.217846i | ||||
\(547\) | −18.7929 | − | 5.03554i | −0.803526 | − | 0.215304i | −0.166395 | − | 0.986059i | \(-0.553213\pi\) |
−0.637132 | + | 0.770755i | \(0.719879\pi\) | |||||||
\(548\) | −5.30198 | − | 19.7873i | −0.226489 | − | 0.845270i | ||||
\(549\) | −6.61465 | − | 1.22939i | −0.282306 | − | 0.0524690i | ||||
\(550\) | −0.121320 | + | 0.849242i | −0.00517312 | + | 0.0362118i | ||||
\(551\) | −5.49333 | − | 12.6863i | −0.234024 | − | 0.540454i | ||||
\(552\) | 3.00000 | − | 4.24264i | 0.127688 | − | 0.180579i | ||||
\(553\) | 18.7929 | − | 5.03554i | 0.799155 | − | 0.214133i | ||||
\(554\) | 14.4853 | − | 25.0892i | 0.615421 | − | 1.06594i | ||||
\(555\) | −9.87171 | − | 6.12775i | −0.419031 | − | 0.260108i | ||||
\(556\) | −7.00000 | + | 12.1244i | −0.296866 | + | 0.514187i | ||||
\(557\) | −3.61585 | + | 13.4945i | −0.153208 | + | 0.571781i | 0.846044 | + | 0.533114i | \(0.178978\pi\) |
−0.999252 | + | 0.0386680i | \(0.987689\pi\) | |||||||
\(558\) | 8.07107 | − | 16.8995i | 0.341676 | − | 0.715413i | ||||
\(559\) | − | 12.0000i | − | 0.507546i | ||||||
\(560\) | 6.69615 | − | 0.401924i | 0.282964 | − | 0.0169844i | ||||
\(561\) | 0.426027 | + | 0.512503i | 0.0179869 | + | 0.0216379i | ||||
\(562\) | 4.36396 | − | 4.36396i | 0.184083 | − | 0.184083i | ||||
\(563\) | −27.1716 | + | 27.1716i | −1.14515 | + | 1.14515i | −0.157650 | + | 0.987495i | \(0.550392\pi\) |
−0.987495 | + | 0.157650i | \(0.949608\pi\) | |||||||
\(564\) | −7.18054 | − | 8.63808i | −0.302355 | − | 0.363729i | ||||
\(565\) | 24.6410 | + | 37.3205i | 1.03666 | + | 1.57009i | ||||
\(566\) | 10.0951 | − | 5.82843i | 0.424330 | − | 0.244987i | ||||
\(567\) | −21.8275 | − | 15.8921i | −0.916669 | − | 0.667407i | ||||
\(568\) | −10.2251 | + | 2.73980i | −0.429035 | + | 0.114960i | ||||
\(569\) | 10.7990 | 0.452717 | 0.226359 | − | 0.974044i | \(-0.427318\pi\) | ||||
0.226359 | + | 0.974044i | \(0.427318\pi\) | |||||||
\(570\) | −6.21021 | − | 15.6982i | −0.260117 | − | 0.657525i | ||||
\(571\) | −10.4853 | −0.438795 | −0.219398 | − | 0.975636i | \(-0.570409\pi\) | ||||
−0.219398 | + | 0.975636i | \(0.570409\pi\) | |||||||
\(572\) | 0.468746 | − | 0.125600i | 0.0195992 | − | 0.00525160i | ||||
\(573\) | 7.67199 | + | 16.6528i | 0.320502 | + | 0.695682i | ||||
\(574\) | −7.79423 | + | 4.50000i | −0.325325 | + | 0.187826i | ||||
\(575\) | −11.7992 | − | 9.26174i | −0.492059 | − | 0.386241i | ||||
\(576\) | −2.28024 | − | 1.94949i | −0.0950100 | − | 0.0812287i | ||||
\(577\) | −2.48528 | + | 2.48528i | −0.103464 | + | 0.103464i | −0.756944 | − | 0.653480i | \(-0.773308\pi\) |
0.653480 | + | 0.756944i | \(0.273308\pi\) | |||||||
\(578\) | −8.46447 | + | 8.46447i | −0.352075 | + | 0.352075i | ||||
\(579\) | 15.9834 | − | 13.2865i | 0.664248 | − | 0.552167i | ||||
\(580\) | −4.70523 | + | 5.30614i | −0.195374 | + | 0.220326i | ||||
\(581\) | 12.7279i | 0.528043i | ||||||||
\(582\) | 20.4853 | + | 14.4853i | 0.849142 | + | 0.600434i | ||||
\(583\) | −0.421207 | + | 1.57196i | −0.0174446 | + | 0.0651041i | ||||
\(584\) | −8.12132 | + | 14.0665i | −0.336063 | + | 0.582078i | ||||
\(585\) | −17.4775 | + | 7.38499i | −0.722604 | + | 0.305332i | ||||
\(586\) | 12.9853 | − | 22.4912i | 0.536417 | − | 0.929102i | ||||
\(587\) | −39.5745 | + | 10.6040i | −1.63342 | + | 0.437672i | −0.954903 | − | 0.296917i | \(-0.904042\pi\) |
−0.678512 | + | 0.734589i | \(0.737375\pi\) | |||||||
\(588\) | −2.82843 | − | 2.00000i | −0.116642 | − | 0.0824786i | ||||
\(589\) | −27.0314 | − | 3.12132i | −1.11381 | − | 0.128612i | ||||
\(590\) | −11.3137 | − | 5.65685i | −0.465778 | − | 0.232889i | ||||
\(591\) | 13.8351 | + | 5.10798i | 0.569100 | + | 0.210114i | ||||
\(592\) | 0.776457 | + | 2.89778i | 0.0319122 | + | 0.119098i | ||||
\(593\) | −37.1739 | − | 9.96072i | −1.52655 | − | 0.409038i | −0.604658 | − | 0.796485i | \(-0.706690\pi\) |
−0.921892 | + | 0.387447i | \(0.873357\pi\) | |||||||
\(594\) | −0.891433 | − | 0.0123413i | −0.0365760 | − | 0.000506368i | ||||
\(595\) | −11.2560 | − | 9.98130i | −0.461452 | − | 0.409194i | ||||
\(596\) | − | 11.3137i | − | 0.463428i | ||||||
\(597\) | 14.2426 | − | 20.1421i | 0.582912 | − | 0.824363i | ||||
\(598\) | −2.19615 | + | 8.19615i | −0.0898074 | + | 0.335166i | ||||
\(599\) | −11.8492 | − | 20.5235i | −0.484147 | − | 0.838567i | 0.515687 | − | 0.856777i | \(-0.327537\pi\) |
−0.999834 | + | 0.0182098i | \(0.994203\pi\) | |||||||
\(600\) | −5.94975 | + | 6.29289i | −0.242897 | + | 0.256906i | ||||
\(601\) | 23.0000 | 0.938190 | 0.469095 | − | 0.883148i | \(-0.344580\pi\) | ||||
0.469095 | + | 0.883148i | \(0.344580\pi\) | |||||||
\(602\) | −3.29423 | + | 12.2942i | −0.134263 | + | 0.501075i | ||||
\(603\) | 13.9907 | − | 9.60521i | 0.569746 | − | 0.391154i | ||||
\(604\) | −9.29065 | + | 5.36396i | −0.378031 | + | 0.218256i | ||||
\(605\) | −4.91797 | + | 24.0329i | −0.199944 | + | 0.977076i | ||||
\(606\) | −10.3865 | + | 28.1321i | −0.421923 | + | 1.14279i | ||||
\(607\) | −4.36396 | + | 4.36396i | −0.177128 | + | 0.177128i | −0.790102 | − | 0.612975i | \(-0.789973\pi\) |
0.612975 | + | 0.790102i | \(0.289973\pi\) | |||||||
\(608\) | −1.60368 | + | 4.05317i | −0.0650379 | + | 0.164378i | ||||
\(609\) | 16.2426 | − | 2.78680i | 0.658185 | − | 0.112927i | ||||
\(610\) | 4.18482 | − | 2.76305i | 0.169439 | − | 0.111873i | ||||
\(611\) | 15.8856 | + | 9.17157i | 0.642664 | + | 0.371042i | ||||
\(612\) | 0.524498 | + | 6.70745i | 0.0212016 | + | 0.271132i | ||||
\(613\) | −10.4310 | + | 2.79498i | −0.421305 | + | 0.112888i | −0.463242 | − | 0.886232i | \(-0.653314\pi\) |
0.0419368 | + | 0.999120i | \(0.486647\pi\) | |||||||
\(614\) | −10.0711 | − | 17.4436i | −0.406435 | − | 0.703966i | ||||
\(615\) | 3.36396 | − | 11.1213i | 0.135648 | − | 0.448455i | ||||
\(616\) | −0.514719 | −0.0207386 | ||||||||
\(617\) | −8.32977 | + | 31.0871i | −0.335344 | + | 1.25152i | 0.568152 | + | 0.822924i | \(0.307659\pi\) |
−0.903496 | + | 0.428597i | \(0.859008\pi\) | |||||||
\(618\) | −5.17423 | − | 0.476756i | −0.208138 | − | 0.0191779i | ||||
\(619\) | − | 24.9411i | − | 1.00247i | −0.865312 | − | 0.501234i | \(-0.832879\pi\) | ||
0.865312 | − | 0.501234i | \(-0.167121\pi\) | |||||||
\(620\) | 4.41421 | + | 13.2426i | 0.177279 | + | 0.531837i | ||||
\(621\) | 7.98036 | − | 13.3908i | 0.320241 | − | 0.537355i | ||||
\(622\) | 2.19615 | + | 8.19615i | 0.0880577 | + | 0.328636i | ||||
\(623\) | 34.2761 | + | 9.18427i | 1.37324 | + | 0.367960i | ||||
\(624\) | 4.59575 | + | 1.69677i | 0.183977 | + | 0.0679253i | ||||
\(625\) | 17.2846 | + | 18.0622i | 0.691384 | + | 0.722487i | ||||
\(626\) | − | 21.5563i | − | 0.861565i | ||||||
\(627\) | 0.403483 | + | 1.23090i | 0.0161136 | + | 0.0491576i | ||||
\(628\) | 8.36396 | + | 8.36396i | 0.333758 | + | 0.333758i | ||||
\(629\) | 3.36396 | − | 5.82655i | 0.134130 | − | 0.232320i | ||||
\(630\) | 19.9333 | − | 2.76816i | 0.794162 | − | 0.110286i | ||||
\(631\) | 0.121320 | + | 0.210133i | 0.00482969 | + | 0.00836526i | 0.868430 | − | 0.495812i | \(-0.165129\pi\) |
−0.863600 | + | 0.504177i | \(0.831796\pi\) | |||||||
\(632\) | 6.26430 | − | 1.67851i | 0.249181 | − | 0.0667677i | ||||
\(633\) | −0.553876 | + | 6.01122i | −0.0220146 | + | 0.238925i | ||||
\(634\) | − | 28.4558i | − | 1.13013i | ||||||
\(635\) | −2.65685 | + | 5.31371i | −0.105434 | + | 0.210868i | ||||
\(636\) | −12.6339 | + | 10.5022i | −0.500968 | + | 0.416438i | ||||
\(637\) | 5.46410 | + | 1.46410i | 0.216496 | + | 0.0580098i | ||||
\(638\) | 0.384776 | − | 0.384776i | 0.0152334 | − | 0.0152334i | ||||
\(639\) | −29.9411 | + | 10.5858i | −1.18445 | + | 0.418767i | ||||
\(640\) | 2.23205 | − | 0.133975i | 0.0882296 | − | 0.00529581i | ||||
\(641\) | −15.2913 | − | 8.82843i | −0.603969 | − | 0.348702i | 0.166632 | − | 0.986019i | \(-0.446711\pi\) |
−0.770602 | + | 0.637317i | \(0.780044\pi\) | |||||||
\(642\) | 14.6349 | + | 1.34847i | 0.577595 | + | 0.0532198i | ||||
\(643\) | 16.0206 | − | 4.29272i | 0.631792 | − | 0.169288i | 0.0713094 | − | 0.997454i | \(-0.477282\pi\) |
0.560483 | + | 0.828166i | \(0.310616\pi\) | |||||||
\(644\) | 4.50000 | − | 7.79423i | 0.177325 | − | 0.307136i | ||||
\(645\) | −7.75736 | − | 14.4853i | −0.305446 | − | 0.570357i | ||||
\(646\) | 8.97056 | − | 3.88437i | 0.352942 | − | 0.152828i | ||||
\(647\) | −12.7071 | − | 12.7071i | −0.499568 | − | 0.499568i | 0.411735 | − | 0.911303i | \(-0.364923\pi\) |
−0.911303 | + | 0.411735i | \(0.864923\pi\) | |||||||
\(648\) | −7.27583 | − | 5.29738i | −0.285822 | − | 0.208101i | ||||
\(649\) | 0.840532 | + | 0.485281i | 0.0329938 | + | 0.0190490i | ||||
\(650\) | 5.55532 | − | 13.0053i | 0.217898 | − | 0.510111i | ||||
\(651\) | 11.2349 | − | 30.4300i | 0.440330 | − | 1.19264i | ||||
\(652\) | −19.4558 | − | 5.21317i | −0.761948 | − | 0.204163i | ||||
\(653\) | −14.8492 | + | 14.8492i | −0.581096 | + | 0.581096i | −0.935204 | − | 0.354109i | \(-0.884784\pi\) |
0.354109 | + | 0.935204i | \(0.384784\pi\) | |||||||
\(654\) | −3.82843 | + | 0.656854i | −0.149703 | + | 0.0256850i | ||||
\(655\) | −22.2535 | + | 25.0955i | −0.869515 | + | 0.980562i | ||||
\(656\) | −2.59808 | + | 1.50000i | −0.101438 | + | 0.0585652i | ||||
\(657\) | −21.0000 | + | 43.9706i | −0.819288 | + | 1.71546i | ||||
\(658\) | −13.7574 | − | 13.7574i | −0.536318 | − | 0.536318i | ||||
\(659\) | 19.7132 | + | 34.1443i | 0.767917 | + | 1.33007i | 0.938690 | + | 0.344762i | \(0.112040\pi\) |
−0.170773 | + | 0.985310i | \(0.554626\pi\) | |||||||
\(660\) | 0.484633 | − | 0.454632i | 0.0188643 | − | 0.0176965i | ||||
\(661\) | −2.87868 | − | 4.98602i | −0.111968 | − | 0.193934i | 0.804596 | − | 0.593823i | \(-0.202382\pi\) |
−0.916564 | + | 0.399889i | \(0.869049\pi\) | |||||||
\(662\) | −12.0883 | + | 3.23905i | −0.469825 | + | 0.125889i | ||||
\(663\) | −4.59716 | − | 9.97861i | −0.178539 | − | 0.387537i | ||||
\(664\) | 4.24264i | 0.164646i | ||||||||
\(665\) | −13.2058 | − | 26.0885i | −0.512098 | − | 1.01167i | ||||
\(666\) | 3.00000 | + | 8.48528i | 0.116248 | + | 0.328798i | ||||
\(667\) | 2.46259 | + | 9.19051i | 0.0953519 | + | 0.355858i | ||||
\(668\) | −6.07844 | − | 22.6850i | −0.235182 | − | 0.877711i | ||||
\(669\) | 23.2895 | − | 19.3598i | 0.900426 | − | 0.748494i | ||||
\(670\) | −2.53590 | + | 12.3923i | −0.0979703 | + | 0.478757i | ||||
\(671\) | −0.333226 | + | 0.192388i | −0.0128640 | + | 0.00742706i | ||||
\(672\) | −4.24264 | − | 3.00000i | −0.163663 | − | 0.115728i | ||||
\(673\) | −28.9706 | − | 28.9706i | −1.11673 | − | 1.11673i | −0.992218 | − | 0.124515i | \(-0.960262\pi\) |
−0.124515 | − | 0.992218i | \(-0.539738\pi\) | |||||||
\(674\) | 1.24264 | + | 2.15232i | 0.0478647 | + | 0.0829041i | ||||
\(675\) | −16.3232 | + | 20.2127i | −0.628279 | + | 0.777988i | ||||
\(676\) | 5.00000 | 0.192308 | ||||||||
\(677\) | 34.6066 | + | 34.6066i | 1.33004 | + | 1.33004i | 0.905329 | + | 0.424711i | \(0.139624\pi\) |
0.424711 | + | 0.905329i | \(0.360376\pi\) | |||||||
\(678\) | 3.17837 | − | 34.4949i | 0.122065 | − | 1.32477i | ||||
\(679\) | 37.6339 | + | 21.7279i | 1.44426 | + | 0.833841i | ||||
\(680\) | −3.75201 | − | 3.32710i | −0.143883 | − | 0.127588i | ||||
\(681\) | 37.3236 | + | 13.7801i | 1.43024 | + | 0.528053i | ||||
\(682\) | −0.277213 | − | 1.03457i | −0.0106150 | − | 0.0396158i | ||||
\(683\) | −0.899495 | + | 0.899495i | −0.0344182 | + | 0.0344182i | −0.724106 | − | 0.689688i | \(-0.757748\pi\) |
0.689688 | + | 0.724106i | \(0.257748\pi\) | |||||||
\(684\) | −3.84847 | + | 12.4976i | −0.147150 | + | 0.477857i | ||||
\(685\) | 40.9706 | + | 20.4853i | 1.56540 | + | 0.782702i | ||||
\(686\) | 12.9904 | + | 7.50000i | 0.495975 | + | 0.286351i | ||||
\(687\) | 11.4201 | + | 24.7884i | 0.435703 | + | 0.945737i | ||||
\(688\) | −1.09808 | + | 4.09808i | −0.0418638 | + | 0.156238i | ||||
\(689\) | 13.4142 | − | 23.2341i | 0.511041 | − | 0.885149i | ||||
\(690\) | 2.64738 | + | 11.3133i | 0.100784 | + | 0.430691i | ||||
\(691\) | −27.9706 | −1.06405 | −0.532025 | − | 0.846729i | \(-0.678569\pi\) | ||||
−0.532025 | + | 0.846729i | \(0.678569\pi\) | |||||||
\(692\) | −14.1213 | − | 14.1213i | −0.536812 | − | 0.536812i | ||||
\(693\) | −1.53946 | + | 0.120380i | −0.0584791 | + | 0.00457285i | ||||
\(694\) | −9.50079 | + | 5.48528i | −0.360645 | + | 0.208218i | ||||
\(695\) | −9.89949 | − | 29.6985i | −0.375509 | − | 1.12653i | ||||
\(696\) | 5.41421 | − | 0.928932i | 0.205225 | − | 0.0352111i | ||||
\(697\) | 6.49867 | + | 1.74131i | 0.246155 | + | 0.0659570i | ||||
\(698\) | 5.75682 | + | 21.4847i | 0.217899 | + | 0.813209i | ||||
\(699\) | 11.6094 | + | 13.9659i | 0.439107 | + | 0.528238i | ||||
\(700\) | −9.26174 | + | 11.7992i | −0.350061 | + | 0.445966i | ||||
\(701\) | 28.7635 | + | 16.6066i | 1.08638 | + | 0.627223i | 0.932611 | − | 0.360884i | \(-0.117525\pi\) |
0.153771 | + | 0.988107i | \(0.450858\pi\) | |||||||
\(702\) | 14.1421 | + | 4.00000i | 0.533761 | + | 0.150970i | ||||
\(703\) | 10.2462 | − | 8.12493i | 0.386445 | − | 0.306437i | ||||
\(704\) | −0.171573 | −0.00646640 | ||||||||
\(705\) | 25.1046 | + | 0.801856i | 0.945493 | + | 0.0301996i | ||||
\(706\) | −2.48528 | + | 4.30463i | −0.0935348 | + | 0.162007i | ||||
\(707\) | −13.4434 | + | 50.1713i | −0.505589 | + | 1.88688i | ||||
\(708\) | 4.09978 | + | 8.89898i | 0.154079 | + | 0.334444i | ||||
\(709\) | −37.8440 | + | 21.8492i | −1.42126 | + | 0.820566i | −0.996407 | − | 0.0846962i | \(-0.973008\pi\) |
−0.424854 | + | 0.905262i | \(0.639675\pi\) | |||||||
\(710\) | 10.5858 | − | 21.1716i | 0.397277 | − | 0.794555i | ||||
\(711\) | 18.3431 | − | 6.48528i | 0.687922 | − | 0.243217i | ||||
\(712\) | 11.4254 | + | 3.06142i | 0.428184 | + | 0.114732i | ||||
\(713\) | 18.0898 | + | 4.84714i | 0.677468 | + | 0.181527i | ||||
\(714\) | 1.97056 | + | 11.4853i | 0.0737465 | + | 0.429826i | ||||
\(715\) | −0.485281 | + | 0.970563i | −0.0181485 | + | 0.0362970i | ||||
\(716\) | −8.09140 | + | 4.67157i | −0.302390 | + | 0.174585i | ||||
\(717\) | −1.07963 | + | 0.497386i | −0.0403194 | + | 0.0185752i | ||||
\(718\) | −2.38455 | + | 8.89927i | −0.0889907 | + | 0.332118i | ||||
\(719\) | 3.70711 | − | 6.42090i | 0.138252 | − | 0.239459i | −0.788583 | − | 0.614928i | \(-0.789185\pi\) |
0.926835 | + | 0.375469i | \(0.122518\pi\) | |||||||
\(720\) | 6.64444 | − | 0.922722i | 0.247624 | − | 0.0343878i | ||||
\(721\) | −9.00000 | −0.335178 | ||||||||
\(722\) | 18.9903 | − | 0.605571i | 0.706748 | − | 0.0225370i | ||||
\(723\) | 0.686292 | + | 0.485281i | 0.0255235 | + | 0.0180478i | ||||
\(724\) | −12.5446 | − | 7.24264i | −0.466217 | − | 0.269171i | ||||
\(725\) | −1.89684 | − | 15.7440i | −0.0704470 | − | 0.584718i | ||||
\(726\) | 14.6123 | − | 12.1467i | 0.542312 | − | 0.450805i | ||||
\(727\) | −3.92669 | − | 14.6546i | −0.145633 | − | 0.543510i | −0.999726 | − | 0.0233900i | \(-0.992554\pi\) |
0.854093 | − | 0.520120i | \(-0.174113\pi\) | |||||||
\(728\) | 8.19615 | + | 2.19615i | 0.303770 | + | 0.0813948i | ||||
\(729\) | −23.0000 | − | 14.1421i | −0.851852 | − | 0.523783i | ||||
\(730\) | −11.4853 | − | 34.4558i | −0.425089 | − | 1.27527i | ||||
\(731\) | 8.23999 | − | 4.75736i | 0.304767 | − | 0.175957i | ||||
\(732\) | −3.86798 | − | 0.356397i | −0.142965 | − | 0.0131728i | ||||
\(733\) | −8.12132 | − | 8.12132i | −0.299968 | − | 0.299968i | 0.541033 | − | 0.841001i | \(-0.318033\pi\) |
−0.841001 | + | 0.541033i | \(0.818033\pi\) | |||||||
\(734\) | −6.00000 | −0.221464 | ||||||||
\(735\) | 7.54222 | − | 1.76492i | 0.278199 | − | 0.0651002i | ||||
\(736\) | 1.50000 | − | 2.59808i | 0.0552907 | − | 0.0957664i | ||||
\(737\) | 0.251200 | − | 0.937492i | 0.00925308 | − | 0.0345329i | ||||
\(738\) | −7.41970 | + | 5.09393i | −0.273123 | + | 0.187510i | ||||
\(739\) | −29.4194 | − | 16.9853i | −1.08221 | − | 0.624814i | −0.150718 | − | 0.988577i | \(-0.548158\pi\) |
−0.931491 | + | 0.363763i | \(0.881492\pi\) | |||||||
\(740\) | −6.00000 | − | 3.00000i | −0.220564 | − | 0.110282i | ||||
\(741\) | −1.17298 | − | 21.3219i | −0.0430905 | − | 0.783280i | ||||
\(742\) | −20.1213 | + | 20.1213i | −0.738677 | + | 0.738677i | ||||
\(743\) | −6.72168 | − | 25.0856i | −0.246594 | − | 0.920303i | −0.972575 | − | 0.232588i | \(-0.925281\pi\) |
0.725981 | − | 0.687715i | \(-0.241386\pi\) | |||||||
\(744\) | 3.74496 | − | 10.1433i | 0.137297 | − | 0.371872i | ||||
\(745\) | 18.9282 | + | 16.7846i | 0.693476 | + | 0.614941i | ||||
\(746\) | 15.1427 | + | 8.74264i | 0.554414 | + | 0.320091i | ||||
\(747\) | 0.992248 | + | 12.6892i | 0.0363044 | + | 0.464273i | ||||
\(748\) | 0.272078 | + | 0.272078i | 0.00994815 | + | 0.00994815i | ||||
\(749\) | 25.4558 | 0.930136 | ||||||||
\(750\) | −1.70138 | − | 19.2900i | −0.0621258 | − | 0.704372i | ||||
\(751\) | 21.6066 | + | 37.4237i | 0.788436 | + | 1.36561i | 0.926925 | + | 0.375247i | \(0.122442\pi\) |
−0.138489 | + | 0.990364i | \(0.544224\pi\) | |||||||
\(752\) | −4.58579 | − | 4.58579i | −0.167226 | − | 0.167226i | ||||
\(753\) | −17.3137 | + | 24.4853i | −0.630947 | + | 0.892293i | ||||
\(754\) | −7.76874 | + | 4.48528i | −0.282921 | + | 0.163344i | ||||
\(755\) | 4.80920 | − | 23.5013i | 0.175025 | − | 0.855301i | ||||
\(756\) | −13.3908 | − | 7.98036i | −0.487019 | − | 0.290243i | ||||
\(757\) | −11.8460 | − | 44.2100i | −0.430551 | − | 1.60684i | −0.751493 | − | 0.659741i | \(-0.770666\pi\) |
0.320942 | − | 0.947099i | \(-0.396001\pi\) | |||||||
\(758\) | −5.81962 | − | 21.7191i | −0.211378 | − | 0.788874i | ||||
\(759\) | −0.150758 | − | 0.878680i | −0.00547215 | − | 0.0318941i | ||||
\(760\) | −4.40192 | − | 8.69615i | −0.159675 | − | 0.315443i | ||||
\(761\) | − | 6.51472i | − | 0.236158i | −0.993004 | − | 0.118079i | \(-0.962326\pi\) | ||
0.993004 | − | 0.118079i | \(-0.0376737\pi\) | |||||||
\(762\) | 4.17958 | − | 1.92554i | 0.151410 | − | 0.0697550i | ||||
\(763\) | −6.49867 | + | 1.74131i | −0.235268 | + | 0.0630398i | ||||
\(764\) | 5.29289 | + | 9.16756i | 0.191490 | + | 0.331671i | ||||
\(765\) | −11.9999 | − | 9.07342i | −0.433857 | − | 0.328050i | ||||
\(766\) | 15.2426 | + | 26.4010i | 0.550739 | + | 0.953908i | ||||
\(767\) | −11.3137 | − | 11.3137i | −0.408514 | − | 0.408514i | ||||
\(768\) | −1.41421 | − | 1.00000i | −0.0510310 | − | 0.0360844i | ||||
\(769\) | −33.7495 | + | 19.4853i | −1.21704 | + | 0.702657i | −0.964283 | − | 0.264873i | \(-0.914670\pi\) |
−0.252755 | + | 0.967530i | \(0.581337\pi\) | |||||||
\(770\) | 0.763618 | − | 0.861141i | 0.0275189 | − | 0.0310334i | ||||
\(771\) | −2.41421 | − | 14.0711i | −0.0869458 | − | 0.506757i | ||||
\(772\) | 8.48528 | − | 8.48528i | 0.305392 | − | 0.305392i | ||||
\(773\) | 8.16772 | + | 2.18853i | 0.293772 | + | 0.0787161i | 0.402695 | − | 0.915334i | \(-0.368073\pi\) |
−0.108923 | + | 0.994050i | \(0.534740\pi\) | |||||||
\(774\) | −2.32577 | + | 12.5136i | −0.0835979 | + | 0.449793i | ||||
\(775\) | −28.7041 | − | 12.2612i | −1.03108 | − | 0.440435i | ||||
\(776\) | 12.5446 | + | 7.24264i | 0.450326 | + | 0.259996i | ||||
\(777\) | 6.52270 | + | 14.1582i | 0.234001 | + | 0.507922i | ||||
\(778\) | −3.48528 | − | 3.48528i | −0.124953 | − | 0.124953i | ||||
\(779\) | 10.5000 | + | 7.79423i | 0.376202 | + | 0.279257i | ||||
\(780\) | −9.65685 | + | 5.17157i | −0.345771 | + | 0.185172i | ||||
\(781\) | −0.908117 | + | 1.57290i | −0.0324950 | + | 0.0562830i | ||||
\(782\) | −6.49867 | + | 1.74131i | −0.232392 | + | 0.0622693i | ||||
\(783\) | 15.9760 | − | 4.04456i | 0.570934 | − | 0.144541i | ||||
\(784\) | −1.73205 | − | 1.00000i | −0.0618590 | − | 0.0357143i | ||||
\(785\) | −26.4017 | + | 1.58471i | −0.942315 | + | 0.0565607i | ||||
\(786\) | 25.6066 | − | 4.39340i | 0.913357 | − | 0.156707i | ||||
\(787\) | 2.72792 | − | 2.72792i | 0.0972399 | − | 0.0972399i | −0.656813 | − | 0.754053i | \(-0.728096\pi\) |
0.754053 | + | 0.656813i | \(0.228096\pi\) | |||||||
\(788\) | 8.22459 | + | 2.20377i | 0.292989 | + | 0.0785061i | ||||
\(789\) | −1.64451 | − | 1.97832i | −0.0585462 | − | 0.0704301i | ||||
\(790\) | −6.48528 | + | 12.9706i | −0.230736 | + | 0.461472i | ||||
\(791\) | − | 60.0000i | − | 2.13335i | ||||||
\(792\) | −0.513152 | + | 0.0401266i | −0.0182341 | + | 0.00142584i | ||||
\(793\) | 6.12701 | − | 1.64173i | 0.217576 | − | 0.0582994i | ||||
\(794\) | −3.98528 | − | 6.90271i | −0.141432 | − | 0.244968i | ||||
\(795\) | 1.17278 | − | 36.7176i | 0.0415943 | − | 1.30224i | ||||
\(796\) | 7.12132 | − | 12.3345i | 0.252409 | − | 0.437184i | ||||
\(797\) | −1.77817 | − | 1.77817i | −0.0629862 | − | 0.0629862i | 0.674912 | − | 0.737898i | \(-0.264182\pi\) |
−0.737898 | + | 0.674912i | \(0.764182\pi\) | |||||||
\(798\) | −4.65153 | + | 22.1667i | −0.164662 | + | 0.784693i | ||||
\(799\) | 14.5442i | 0.514535i | ||||||||
\(800\) | −3.08725 | + | 3.93305i | −0.109151 | + | 0.139054i | ||||
\(801\) | 34.8878 | + | 6.48420i | 1.23270 | + | 0.229108i | ||||
\(802\) | −33.4475 | − | 8.96224i | −1.18107 | − | 0.316468i | ||||
\(803\) | 0.721276 | + | 2.69184i | 0.0254533 | + | 0.0949929i | ||||
\(804\) | 7.53465 | − | 6.26330i | 0.265727 | − | 0.220890i | ||||
\(805\) | 6.36396 | + | 19.0919i | 0.224300 | + | 0.672900i | ||||
\(806\) | 17.6569i | 0.621936i | ||||||||
\(807\) | 1.73681 | − | 18.8496i | 0.0611386 | − | 0.663538i | ||||
\(808\) | −4.48112 | + | 16.7238i | −0.157645 | + | 0.588340i | ||||
\(809\) | −24.6863 | −0.867924 | −0.433962 | − | 0.900931i | \(-0.642885\pi\) | ||||
−0.433962 | + | 0.900931i | \(0.642885\pi\) | |||||||
\(810\) | 19.6569 | − | 4.31371i | 0.690671 | − | 0.151568i | ||||
\(811\) | −10.2279 | − | 17.7153i | −0.359151 | − | 0.622068i | 0.628668 | − | 0.777674i | \(-0.283600\pi\) |
−0.987819 | + | 0.155606i | \(0.950267\pi\) | |||||||
\(812\) | 9.19051 | − | 2.46259i | 0.322524 | − | 0.0864200i | ||||
\(813\) | 0.317837 | − | 3.44949i | 0.0111470 | − | 0.120979i | ||||
\(814\) | 0.445759 | + | 0.257359i | 0.0156239 | + | 0.00902044i | ||||
\(815\) | 37.5857 | − | 24.8161i | 1.31657 | − | 0.869271i | ||||
\(816\) | 0.656854 | + | 3.82843i | 0.0229945 | + | 0.134022i | ||||
\(817\) | 18.2942 | − | 2.70577i | 0.640034 | − | 0.0946630i | ||||
\(818\) | −17.2929 | + | 17.2929i | −0.604632 | + | 0.604632i | ||||
\(819\) | 25.0273 | + | 4.65153i | 0.874523 | + | 0.162538i | ||||
\(820\) | 1.34486 | − | 6.57201i | 0.0469647 | − | 0.229505i | ||||
\(821\) | −5.79050 | + | 3.34315i | −0.202090 | + | 0.116677i | −0.597630 | − | 0.801772i | \(-0.703891\pi\) |
0.395540 | + | 0.918449i | \(0.370557\pi\) | |||||||
\(822\) | −14.8466 | − | 32.2261i | −0.517835 | − | 1.12401i | ||||
\(823\) | −10.1828 | + | 38.0026i | −0.354949 | + | 1.32469i | 0.525601 | + | 0.850731i | \(0.323841\pi\) |
−0.880549 | + | 0.473955i | \(0.842826\pi\) | |||||||
\(824\) | −3.00000 | −0.104510 | ||||||||
\(825\) | 0.0416306 | + | 1.48528i | 0.00144939 | + | 0.0517109i | ||||
\(826\) | 8.48528 | + | 14.6969i | 0.295241 | + | 0.511372i | ||||
\(827\) | −1.80411 | + | 6.73305i | −0.0627352 | + | 0.234131i | −0.990173 | − | 0.139846i | \(-0.955339\pi\) |
0.927438 | + | 0.373977i | \(0.122006\pi\) | |||||||
\(828\) | 3.87868 | − | 8.12132i | 0.134793 | − | 0.282235i | ||||
\(829\) | − | 28.9706i | − | 1.00619i | −0.864231 | − | 0.503095i | \(-0.832195\pi\) | ||
0.864231 | − | 0.503095i | \(-0.167805\pi\) | |||||||
\(830\) | −7.09808 | − | 6.29423i | −0.246378 | − | 0.218476i | ||||
\(831\) | 17.3795 | − | 47.0727i | 0.602887 | − | 1.63293i | ||||
\(832\) | 2.73205 | + | 0.732051i | 0.0947168 | + | 0.0253793i | ||||
\(833\) | 1.16088 | + | 4.33245i | 0.0402220 | + | 0.150110i | ||||
\(834\) | −8.39861 | + | 22.7478i | −0.290820 | + | 0.787693i | ||||
\(835\) | 46.9706 | + | 23.4853i | 1.62548 | + | 0.812742i | ||||
\(836\) | 0.297173 | + | 0.686292i | 0.0102779 | + | 0.0237359i | ||||
\(837\) | 8.82843 | − | 31.2132i | 0.305155 | − | 1.07889i | ||||
\(838\) | 28.8120 | − | 7.72017i | 0.995296 | − | 0.266689i | ||||
\(839\) | −14.1213 | + | 24.4588i | −0.487522 | + | 0.844413i | −0.999897 | − | 0.0143488i | \(-0.995432\pi\) |
0.512375 | + | 0.858762i | \(0.328766\pi\) | |||||||
\(840\) | 11.3133 | − | 2.64738i | 0.390347 | − | 0.0913434i | ||||
\(841\) | 9.47056 | − | 16.4035i | 0.326571 | − | 0.565638i | ||||
\(842\) | 5.42758 | − | 20.2560i | 0.187047 | − | 0.698068i | ||||
\(843\) | 6.17157 | − | 8.72792i | 0.212560 | − | 0.300606i | ||||
\(844\) | 3.48528i | 0.119968i | ||||||||
\(845\) | −7.41782 | + | 8.36516i | −0.255181 | + | 0.287770i | ||||
\(846\) | −14.7880 | − | 12.6430i | −0.508422 | − | 0.434675i | ||||
\(847\) | 23.2721 | − | 23.2721i | 0.799638 | − | 0.799638i | ||||
\(848\) | −6.70711 | + | 6.70711i | −0.230323 | + | 0.230323i | ||||
\(849\) | 15.5264 | − | 12.9065i | 0.532863 | − | 0.442951i | ||||
\(850\) | 11.1327 | − | 1.34127i | 0.381848 | − | 0.0460052i | ||||
\(851\) | −7.79423 | + | 4.50000i | −0.267183 | + | 0.154258i | ||||
\(852\) | −16.6528 | + | 7.67199i | −0.570517 | + | 0.262838i | ||||
\(853\) | −20.4502 | + | 5.47961i | −0.700200 | + | 0.187618i | −0.591320 | − | 0.806437i | \(-0.701393\pi\) |
−0.108880 | + | 0.994055i | \(0.534726\pi\) | |||||||
\(854\) | −6.72792 | −0.230225 | ||||||||
\(855\) | −15.1994 | − | 24.9796i | −0.519808 | − | 0.854283i | ||||
\(856\) | 8.48528 | 0.290021 | ||||||||
\(857\) | 8.19615 | − | 2.19615i | 0.279975 | − | 0.0750191i | −0.116099 | − | 0.993238i | \(-0.537039\pi\) |
0.396074 | + | 0.918219i | \(0.370372\pi\) | |||||||
\(858\) | 0.763412 | − | 0.351705i | 0.0260624 | − | 0.0120070i | ||||
\(859\) | 12.5191 | − | 7.22792i | 0.427147 | − | 0.246614i | −0.270983 | − | 0.962584i | \(-0.587349\pi\) |
0.698131 | + | 0.715971i | \(0.254016\pi\) | |||||||
\(860\) | −5.22715 | − | 7.91688i | −0.178244 | − | 0.269963i | ||||
\(861\) | −11.9876 | + | 9.96486i | −0.408535 | + | 0.339601i | ||||
\(862\) | 8.00000 | − | 8.00000i | 0.272481 | − | 0.272481i | ||||
\(863\) | 39.2340 | − | 39.2340i | 1.33554 | − | 1.33554i | 0.435215 | − | 0.900327i | \(-0.356672\pi\) |
0.900327 | − | 0.435215i | \(-0.143328\pi\) | |||||||
\(864\) | −4.46360 | − | 2.66012i | −0.151855 | − | 0.0904991i | ||||
\(865\) | 44.5753 | − | 2.67555i | 1.51561 | − | 0.0909714i | ||||
\(866\) | − | 9.51472i | − | 0.323323i | ||||||
\(867\) | −11.9706 | + | 16.9289i | −0.406542 | + | 0.574937i | ||||
\(868\) | 4.84714 | − | 18.0898i | 0.164523 | − | 0.614007i | ||||
\(869\) | 0.556349 | − | 0.963625i | 0.0188729 | − | 0.0326887i | ||||
\(870\) | −6.47820 | + | 10.4363i | −0.219631 | + | 0.353823i | ||||
\(871\) | −8.00000 | + | 13.8564i | −0.271070 | + | 0.469506i | ||||
\(872\) | −2.16622 | + | 0.580438i | −0.0733576 | + | 0.0196561i | ||||
\(873\) | 39.2132 | + | 18.7279i | 1.32717 | + | 0.633844i | ||||
\(874\) | −12.9904 | − | 1.50000i | −0.439406 | − | 0.0507383i | ||||
\(875\) | −6.00000 | − | 33.0000i | −0.202837 | − | 1.11560i | ||||
\(876\) | −9.74397 | + | 26.3918i | −0.329218 | + | 0.891695i | ||||
\(877\) | 7.36491 | + | 27.4862i | 0.248695 | + | 0.928144i | 0.971490 | + | 0.237081i | \(0.0761907\pi\) |
−0.722794 | + | 0.691063i | \(0.757143\pi\) | |||||||
\(878\) | 28.4522 | + | 7.62373i | 0.960214 | + | 0.257289i | ||||
\(879\) | 15.5798 | − | 42.1981i | 0.525492 | − | 1.42331i | ||||
\(880\) | 0.254539 | − | 0.287047i | 0.00858052 | − | 0.00967635i | ||||
\(881\) | 49.2843i | 1.66043i | 0.557444 | + | 0.830215i | \(0.311782\pi\) | ||||
−0.557444 | + | 0.830215i | \(0.688218\pi\) | |||||||
\(882\) | −5.41421 | − | 2.58579i | −0.182306 | − | 0.0870680i | ||||
\(883\) | 0.909676 | − | 3.39496i | 0.0306130 | − | 0.114249i | −0.948929 | − | 0.315491i | \(-0.897831\pi\) |
0.979542 | + | 0.201241i | \(0.0644975\pi\) | |||||||
\(884\) | −3.17157 | − | 5.49333i | −0.106672 | − | 0.184761i | ||||
\(885\) | −20.9706 | − | 6.34315i | −0.704918 | − | 0.213223i | ||||
\(886\) | 34.2426 | 1.15040 | ||||||||
\(887\) | 5.03554 | − | 18.7929i | 0.169077 | − | 0.631004i | −0.828408 | − | 0.560125i | \(-0.810753\pi\) |
0.997485 | − | 0.0708787i | \(-0.0225803\pi\) | |||||||
\(888\) | 2.17423 | + | 4.71940i | 0.0729625 | + | 0.158373i | ||||
\(889\) | 6.90271 | − | 3.98528i | 0.231509 | − | 0.133662i | ||||
\(890\) | −22.0721 | + | 14.5732i | −0.739860 | + | 0.488496i | ||||
\(891\) | −1.52539 | + | 0.240027i | −0.0511024 | + | 0.00804120i | ||||
\(892\) | 12.3640 | − | 12.3640i | 0.413976 | − | 0.413976i | ||||
\(893\) | −10.4003 | + | 26.2860i | −0.348034 | + | 0.879626i | ||||
\(894\) | −3.31371 | − | 19.3137i | −0.110827 | − | 0.645947i | ||||
\(895\) | 4.18842 | − | 20.4678i | 0.140003 | − | 0.684162i | ||||
\(896\) | −2.59808 | − | 1.50000i | −0.0867956 | − | 0.0501115i | ||||
\(897\) | −1.34847 | + | 14.6349i | −0.0450241 | + | 0.488647i | ||||
\(898\) | 17.2209 | − | 4.61434i | 0.574670 | − | 0.153982i | ||||
\(899\) | 9.89949 | + | 17.1464i | 0.330167 | + | 0.571865i | ||||
\(900\) | −8.31371 | + | 12.4853i | −0.277124 | + | 0.416176i | ||||
\(901\) | 21.2721 | 0.708676 | ||||||||
\(902\) | −0.133219 | + | 0.497180i | −0.00443571 | + | 0.0165543i | ||||
\(903\) | −2.02270 | + | 21.9524i | −0.0673114 | + | 0.730531i | ||||
\(904\) | − | 20.0000i | − | 0.665190i | ||||||
\(905\) | 30.7279 | − | 10.2426i | 1.02143 | − | 0.340477i | ||||
\(906\) | −14.2891 | + | 11.8780i | −0.474723 | + | 0.394621i | ||||
\(907\) | 8.21941 | + | 30.6753i | 0.272921 | + | 1.01856i | 0.957222 | + | 0.289355i | \(0.0934409\pi\) |
−0.684301 | + | 0.729200i | \(0.739892\pi\) | |||||||
\(908\) | 22.1879 | + | 5.94522i | 0.736330 | + | 0.197299i | ||||
\(909\) | −9.49117 | + | 51.0666i | −0.314802 | + | 1.69377i | ||||
\(910\) | −15.8338 | + | 10.4543i | −0.524884 | + | 0.346557i | ||||
\(911\) | 29.3137i | 0.971206i | 0.874179 | + | 0.485603i | \(0.161400\pi\) | ||||
−0.874179 | + | 0.485603i | \(0.838600\pi\) | |||||||
\(912\) | −1.55051 | + | 7.38891i | −0.0513425 | + | 0.244671i | ||||
\(913\) | 0.514719 | + | 0.514719i | 0.0170347 | + | 0.0170347i | ||||
\(914\) | −17.6569 | + | 30.5826i | −0.584037 | + | 1.01158i | ||||
\(915\) | 6.33466 | − | 5.94252i | 0.209418 | − | 0.196454i | ||||
\(916\) | 7.87868 | + | 13.6463i | 0.260319 | + | 0.450886i | ||||
\(917\) | 43.4667 | − | 11.6469i | 1.43540 | − | 0.384613i | ||||
\(918\) | 2.85994 | + | 11.2967i | 0.0943921 | + | 0.372847i | ||||
\(919\) | − | 23.2721i | − | 0.767675i | −0.923401 | − | 0.383838i | \(-0.874602\pi\) | ||
0.923401 | − | 0.383838i | \(-0.125398\pi\) | |||||||
\(920\) | 2.12132 | + | 6.36396i | 0.0699379 | + | 0.209814i | ||||
\(921\) | −22.3015 | − | 26.8283i | −0.734859 | − | 0.884024i | ||||
\(922\) | 24.2570 | + | 6.49964i | 0.798862 | + | 0.214054i | ||||
\(923\) | 21.1716 | − | 21.1716i | 0.696871 | − | 0.696871i | ||||
\(924\) | −0.878680 | + | 0.150758i | −0.0289064 | + | 0.00495956i | ||||
\(925\) | 13.9205 | − | 5.58750i | 0.457703 | − | 0.183716i | ||||
\(926\) | −35.9273 | − | 20.7426i | −1.18064 | − | 0.681645i | ||||
\(927\) | −8.97261 | + | 0.701625i | −0.294699 | + | 0.0230444i | ||||
\(928\) | 3.06350 | − | 0.820863i | 0.100564 | − | 0.0269462i | ||||
\(929\) | −24.2990 | + | 42.0871i | −0.797224 | + | 1.38083i | 0.124193 | + | 0.992258i | \(0.460366\pi\) |
−0.921417 | + | 0.388574i | \(0.872968\pi\) | |||||||
\(930\) | 11.4142 | + | 21.3137i | 0.374287 | + | 0.698904i | ||||
\(931\) | −1.00000 | + | 8.66025i | −0.0327737 | + | 0.283828i | ||||
\(932\) | 7.41421 | + | 7.41421i | 0.242861 | + | 0.242861i | ||||
\(933\) | 6.14966 | + | 13.3485i | 0.201331 | + | 0.437009i | ||||
\(934\) | −2.15232 | − | 1.24264i | −0.0704260 | − | 0.0406604i | ||||
\(935\) | −0.858840 | + | 0.0515503i | −0.0280871 | + | 0.00168587i | ||||
\(936\) | 8.34242 | + | 1.55051i | 0.272680 | + | 0.0506800i | ||||
\(937\) | 5.42389 | + | 1.45333i | 0.177191 | + | 0.0474781i | 0.346323 | − | 0.938115i | \(-0.387430\pi\) |
−0.169133 | + | 0.985593i | \(0.554097\pi\) | |||||||
\(938\) | 12.0000 | − | 12.0000i | 0.391814 | − | 0.391814i | ||||
\(939\) | −6.31371 | − | 36.7990i | −0.206040 | − | 1.20089i | ||||
\(940\) | 14.4755 | − | 0.868863i | 0.472138 | − | 0.0283392i | ||||
\(941\) | −22.3426 | + | 12.8995i | −0.728347 | + | 0.420512i | −0.817817 | − | 0.575478i | \(-0.804816\pi\) |
0.0894699 | + | 0.995990i | \(0.471483\pi\) | |||||||
\(942\) | 16.7279 | + | 11.8284i | 0.545025 | + | 0.385391i | ||||
\(943\) | −6.36396 | − | 6.36396i | −0.207239 | − | 0.207239i | ||||
\(944\) | 2.82843 | + | 4.89898i | 0.0920575 | + | 0.159448i | ||||
\(945\) | 33.2175 | − | 10.5639i | 1.08057 | − | 0.343643i | ||||
\(946\) | 0.363961 | + | 0.630399i | 0.0118334 | + | 0.0204960i | ||||
\(947\) | 53.3319 | − | 14.2902i | 1.73305 | − | 0.464370i | 0.752170 | − | 0.658969i | \(-0.229007\pi\) |
0.980883 | + | 0.194599i | \(0.0623407\pi\) | |||||||
\(948\) | 10.2022 | − | 4.70017i | 0.331352 | − | 0.152655i | ||||
\(949\) | − | 45.9411i | − | 1.49131i | ||||||
\(950\) | 21.0795 | + | 5.53674i | 0.683909 | + | 0.179635i | ||||
\(951\) | −8.33452 | − | 48.5772i | −0.270265 | − | 1.57522i | ||||
\(952\) | 1.74131 | + | 6.49867i | 0.0564363 | + | 0.210623i | ||||
\(953\) | 1.28648 | + | 4.80119i | 0.0416731 | + | 0.155526i | 0.983627 | − | 0.180216i | \(-0.0576797\pi\) |
−0.941954 | + | 0.335742i | \(0.891013\pi\) | |||||||
\(954\) | −18.4915 | + | 21.6287i | −0.598683 | + | 0.700255i | ||||
\(955\) | −23.1900 | − | 4.74548i | −0.750410 | − | 0.153560i | ||||
\(956\) | −0.594346 | + | 0.343146i | −0.0192225 | + | 0.0110981i | ||||
\(957\) | 0.544156 | − | 0.769553i | 0.0175901 | − | 0.0248761i | ||||
\(958\) | 21.4853 | + | 21.4853i | 0.694158 | + | 0.694158i | ||||
\(959\) | −30.7279 | − | 53.2223i | −0.992256 | − | 1.71864i | ||||
\(960\) | 3.77111 | − | 0.882461i | 0.121712 | − | 0.0284813i | ||||
\(961\) | 7.97056 | 0.257115 | ||||||||
\(962\) | −6.00000 | − | 6.00000i | −0.193448 | − | 0.193448i | ||||
\(963\) | 25.3784 | − | 1.98450i | 0.817807 | − | 0.0639495i | ||||
\(964\) | 0.420266 | + | 0.242641i | 0.0135359 | + | 0.00781493i | ||||
\(965\) | 1.60770 | + | 26.7846i | 0.0517535 | + | 0.862227i | ||||
\(966\) | 5.39910 | − | 14.6236i | 0.173713 | − | 0.470507i | ||||
\(967\) | −11.2472 | − | 41.9751i | −0.361686 | − | 1.34983i | −0.871859 | − | 0.489757i | \(-0.837085\pi\) |
0.510173 | − | 0.860072i | \(-0.329581\pi\) | |||||||
\(968\) | 7.75736 | − | 7.75736i | 0.249331 | − | 0.249331i | ||||
\(969\) | 14.1760 | − | 9.25845i | 0.455399 | − | 0.297424i | ||||
\(970\) | −30.7279 | + | 10.2426i | −0.986614 | + | 0.328871i | ||||
\(971\) | 16.8493 | + | 9.72792i | 0.540718 | + | 0.312184i | 0.745370 | − | 0.666651i | \(-0.232273\pi\) |
−0.204652 | + | 0.978835i | \(0.565606\pi\) | |||||||
\(972\) | −13.9722 | − | 6.91215i | −0.448158 | − | 0.221707i | ||||
\(973\) | −10.8704 | + | 40.5689i | −0.348489 | + | 1.30058i | ||||
\(974\) | 17.3995 | − | 30.1368i | 0.557516 | − | 0.965646i | ||||
\(975\) | 5.67435 | − | 23.8286i | 0.181725 | − | 0.763126i | ||||
\(976\) | −2.24264 | −0.0717852 | ||||||||
\(977\) | −7.75736 | − | 7.75736i | −0.248180 | − | 0.248180i | 0.572043 | − | 0.820223i | \(-0.306151\pi\) |
−0.820223 | + | 0.572043i | \(0.806151\pi\) | |||||||
\(978\) | −34.7400 | − | 3.20096i | −1.11086 | − | 0.102355i | ||||
\(979\) | 1.75754 | − | 1.01472i | 0.0561714 | − | 0.0324305i | ||||
\(980\) | 4.24264 | − | 1.41421i | 0.135526 | − | 0.0451754i | ||||
\(981\) | −6.34315 | + | 2.24264i | −0.202521 | + | 0.0716020i | ||||
\(982\) | 6.62419 | + | 1.77495i | 0.211386 | + | 0.0566408i | ||||
\(983\) | −4.25909 | − | 15.8951i | −0.135844 | − | 0.506976i | −0.999993 | − | 0.00374017i | \(-0.998809\pi\) |
0.864149 | − | 0.503236i | \(-0.167857\pi\) | |||||||
\(984\) | −3.99585 | + | 3.32162i | −0.127383 | + | 0.105889i | ||||
\(985\) | −15.8887 | + | 10.4906i | −0.506255 | + | 0.334257i | ||||
\(986\) | −6.15978 | − | 3.55635i | −0.196167 | − | 0.113257i | ||||
\(987\) | −27.5147 | − | 19.4558i | −0.875803 | − | 0.619286i | ||||
\(988\) | −1.80385 | − | 12.1962i | −0.0573880 | − | 0.388011i | ||||
\(989\) | −12.7279 | −0.404724 | ||||||||
\(990\) | 0.694161 | − | 0.918051i | 0.0220619 | − | 0.0291776i | ||||
\(991\) | −3.00000 | + | 5.19615i | −0.0952981 | + | 0.165061i | −0.909733 | − | 0.415194i | \(-0.863714\pi\) |
0.814435 | + | 0.580255i | \(0.197047\pi\) | |||||||
\(992\) | 1.61571 | − | 6.02993i | 0.0512990 | − | 0.191450i | ||||
\(993\) | −19.6873 | + | 9.06998i | −0.624758 | + | 0.287827i | ||||
\(994\) | −27.5027 | + | 15.8787i | −0.872332 | + | 0.503641i | ||||
\(995\) | 10.0711 | + | 30.2132i | 0.319274 | + | 0.957823i | ||||
\(996\) | 1.24264 | + | 7.24264i | 0.0393746 | + | 0.229492i | ||||
\(997\) | 15.1518 | + | 4.05991i | 0.479862 | + | 0.128579i | 0.490638 | − | 0.871363i | \(-0.336764\pi\) |
−0.0107763 | + | 0.999942i | \(0.503430\pi\) | |||||||
\(998\) | 36.6767 | + | 9.82750i | 1.16098 | + | 0.311084i | ||||
\(999\) | 7.60660 | + | 13.6066i | 0.240662 | + | 0.430494i |
(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.v.a.353.2 | yes | 8 | |
3.2 | odd | 2 | 570.2.v.b.353.1 | yes | 8 | ||
5.2 | odd | 4 | 570.2.v.b.467.2 | yes | 8 | ||
15.2 | even | 4 | inner | 570.2.v.a.467.1 | yes | 8 | |
19.7 | even | 3 | inner | 570.2.v.a.83.1 | ✓ | 8 | |
57.26 | odd | 6 | 570.2.v.b.83.2 | yes | 8 | ||
95.7 | odd | 12 | 570.2.v.b.197.1 | yes | 8 | ||
285.197 | even | 12 | inner | 570.2.v.a.197.2 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.v.a.83.1 | ✓ | 8 | 19.7 | even | 3 | inner | |
570.2.v.a.197.2 | yes | 8 | 285.197 | even | 12 | inner | |
570.2.v.a.353.2 | yes | 8 | 1.1 | even | 1 | trivial | |
570.2.v.a.467.1 | yes | 8 | 15.2 | even | 4 | inner | |
570.2.v.b.83.2 | yes | 8 | 57.26 | odd | 6 | ||
570.2.v.b.197.1 | yes | 8 | 95.7 | odd | 12 | ||
570.2.v.b.353.1 | yes | 8 | 3.2 | odd | 2 | ||
570.2.v.b.467.2 | yes | 8 | 5.2 | odd | 4 |